Session.name = Ordinary_Differential_Equations
ML_statistics = :now=1464099896.77tasks_ready=1tasks_pending=0tasks_running=0tasks_passive=0tasks_urgent=0workers_total=0workers_active=0workers_waiting=0full_GCs=0partial_GCs=0size_allocation=140869632size_allocation_free=140567888size_heap=140869632size_heap_free_last_full_GC=0size_heap_free_last_GC=0threads_in_ML=0threads_total=3threads_wait_condvar=0threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=0.008time_GC=0user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Loading theory "Adhoc_Overloading" (required by "Monad_Syntax")
Loading theory "Code_Abstract_Nat" (required by "Affine_Arithmetic" via "Affine_Code" via "Affine_Approximation" via "Code_Target_Numeral" via "Code_Target_Nat")
loading_theory = Code_Abstract_Nat
loading_theory = Adhoc_Overloading
Loading theory "Dense_Linear_Order" (required by "Approximation")
loading_theory = Dense_Linear_Order
Loading theory "Code_Target_Int" (required by "Affine_Arithmetic" via "Affine_Code" via "Affine_Approximation" via "Code_Target_Numeral")
loading_theory = Code_Target_Int
command_timing = :file=~~/src/HOL/Library/Code_Abstract_Nat.thyoffset=179name=theoryelapsed=0.096
signature ADHOC_OVERLOADING =
  sig
    val generic_add_overloaded: string -> Context.generic -> Context.generic
    val generic_add_variant:
       string -> term -> Context.generic -> Context.generic
    val generic_remove_overloaded:
       string -> Context.generic -> Context.generic
    val generic_remove_variant:
       string -> term -> Context.generic -> Context.generic
    val is_overloaded: Proof.context -> string -> bool
    val show_variants: bool Config.T
  end
structure Adhoc_Overloading: ADHOC_OVERLOADING
command_timing = :file=~~/src/Tools/Adhoc_Overloading.thyoffset=291name=ML_fileelapsed=0.114
### theory "Adhoc_Overloading"
### 0.118s elapsed time, 0.372s cpu time, 0.000s GC time
Loading theory "Monad_Syntax"
loading_theory = Monad_Syntax
command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=172name=theoryelapsed=0.116
command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=219name=code_datatypeelapsed=0.012
### Code generator: dropping subsumed code equation
### 1 \<equiv> Int.Pos num.One
command_timing = :file=~~/src/HOL/Library/Code_Abstract_Nat.thyoffset=1398name=setupelapsed=0.046
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=228name=theoryelapsed=0.114
### theory "Code_Abstract_Nat"
### 0.174s elapsed time, 0.600s cpu time, 0.000s GC time
Loading theory "Code_Target_Nat" (required by "Affine_Arithmetic" via "Affine_Code" via "Affine_Approximation" via "Code_Target_Numeral")
loading_theory = Code_Target_Nat
### Code generator: dropping subsumed code equation
### Int.Neg ?m + Int.Neg ?n \<equiv> Int.Neg (?m + ?n)
### Code generator: dropping subsumed code equation
### Int.Neg ?m + Int.Pos ?n \<equiv> Int.sub ?n ?m
### Code generator: dropping subsumed code equation
### Int.Pos ?m + Int.Neg ?n \<equiv> Int.sub ?m ?n
### Code generator: dropping subsumed code equation
### Int.Pos ?m + Int.Pos ?n \<equiv> Int.Pos (?m + ?n)
### Code generator: dropping subsumed code equation
### 0 + ?l \<equiv> ?l
### Code generator: dropping subsumed code equation
### ?k + 0 \<equiv> ?k
### Code generator: dropping subsumed code equation
### - Int.Neg ?m \<equiv> Int.Pos ?m
### Code generator: dropping subsumed code equation
### - Int.Pos ?m \<equiv> Int.Neg ?m
### Code generator: dropping subsumed code equation
### - 0 \<equiv> 0
### Code generator: dropping subsumed code equation
### Int.Neg ?m - Int.Neg ?n \<equiv> Int.sub ?n ?m
### Code generator: dropping subsumed code equation
### Int.Neg ?m - Int.Pos ?n \<equiv> Int.Neg (?m + ?n)
### Code generator: dropping subsumed code equation
### Int.Pos ?m - Int.Neg ?n \<equiv> Int.Pos (?m + ?n)
### Code generator: dropping subsumed code equation
### Int.Pos ?m - Int.Pos ?n \<equiv> Int.sub ?m ?n
### Code generator: dropping subsumed code equation
### 0 - ?l \<equiv> - ?l
### Code generator: dropping subsumed code equation
### ?k - 0 \<equiv> ?k
### Code generator: dropping subsumed code equation
### Int.dup (Int.Neg ?n) \<equiv> Int.Neg (num.Bit0 ?n)
### Code generator: dropping subsumed code equation
### Int.dup (Int.Pos ?n) \<equiv> Int.Pos (num.Bit0 ?n)
### Code generator: dropping subsumed code equation
### Int.dup 0 \<equiv> 0
### Code generator: dropping subsumed code equation
### Int.Neg ?m * Int.Neg ?n \<equiv> Int.Pos (?m * ?n)
### Code generator: dropping subsumed code equation
### Int.Neg ?m * Int.Pos ?n \<equiv> Int.Neg (?m * ?n)
### Code generator: dropping subsumed code equation
### Int.Pos ?m * Int.Neg ?n \<equiv> Int.Neg (?m * ?n)
### Code generator: dropping subsumed code equation
### Int.Pos ?m * Int.Pos ?n \<equiv> Int.Pos (?m * ?n)
### Code generator: dropping subsumed code equation
### 0 * ?l \<equiv> 0
### Code generator: dropping subsumed code equation
### ?k * 0 \<equiv> 0
### Code generator: dropping subsumed code equation
### Int.Neg ?m div Int.Neg ?n \<equiv> fst (divmod ?m ?n)
### Code generator: dropping subsumed code equation
### Int.Pos ?m div Int.Neg ?n \<equiv> - Divides.adjust_div (divmod ?m ?n)
### Code generator: dropping subsumed code equation
### Int.Neg ?m div Int.Pos ?n \<equiv> - Divides.adjust_div (divmod ?m ?n)
### Code generator: dropping subsumed code equation
### Int.Pos ?m div Int.Pos ?n \<equiv> fst (divmod ?m ?n)
### Code generator: dropping subsumed code equation
### ?k div Int.Neg num.One \<equiv> - ?k
### Code generator: dropping subsumed code equation
### ?k div Int.Pos num.One \<equiv> ?k
### Code generator: dropping subsumed code equation
### 0 div ?k \<equiv> 0
### Code generator: dropping subsumed code equation
### ?k div 0 \<equiv> 0
### Code generator: dropping subsumed code equation
### Int.Neg ?m mod Int.Neg ?n \<equiv> - snd (divmod ?m ?n)
### Code generator: dropping subsumed code equation
### Int.Pos ?m mod Int.Neg ?n \<equiv>
### - Divides.adjust_mod (Int.Pos ?n) (snd (divmod ?m ?n))
### Code generator: dropping subsumed code equation
### Int.Neg ?m mod Int.Pos ?n \<equiv>
### Divides.adjust_mod (Int.Pos ?n) (snd (divmod ?m ?n))
### Code generator: dropping subsumed code equation
### Int.Pos ?m mod Int.Pos ?n \<equiv> snd (divmod ?m ?n)
### Code generator: dropping subsumed code equation
### ?k mod Int.Neg num.One \<equiv> 0
### Code generator: dropping subsumed code equation
### ?k mod Int.Pos num.One \<equiv> 0
### Code generator: dropping subsumed code equation
### 0 mod ?k \<equiv> 0
### Code generator: dropping subsumed code equation
### ?k mod 0 \<equiv> ?k
### Code generator: dropping subsumed code equation
### divmod (num.Bit1 ?m) (num.Bit1 ?n) \<equiv>
### if ?m < ?n then (0, numeral (num.Bit1 ?m))
### else divmod_step (num.Bit1 ?n)
###       (divmod (num.Bit1 ?m) (num.Bit0 (num.Bit1 ?n)))
### ML warning (line 99 of "~~/src/HOL/Decision_Procs/langford_data.ML"):
### Pattern is not exhaustive.
### ML warning (line 100 of "~~/src/HOL/Decision_Procs/langford_data.ML"):
### Pattern is not exhaustive.
signature LANGFORD_DATA =
  sig
    val add: entry -> attribute
    val del: attribute
    type entry
    val get: Proof.context -> simpset * (thm * entry) list
    val match: Proof.context -> cterm -> entry option
  end
structure Langford_Data: LANGFORD_DATA
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=274name=ML_fileelapsed=0.080
### Code generator: dropping subsumed code equation
### divmod (num.Bit0 ?m) (num.Bit1 ?n) \<equiv>
### if ?m \<le> ?n then (0, numeral (num.Bit0 ?m))
### else divmod_step (num.Bit1 ?n)
###       (divmod (num.Bit0 ?m) (num.Bit0 (num.Bit1 ?n)))
### Code generator: dropping subsumed code equation
### divmod (num.Bit1 ?m) (num.Bit0 ?n) \<equiv>
### case divmod ?m ?n of (q, r) \<Rightarrow> (q, 2 * r + 1)
### Code generator: dropping subsumed code equation
### divmod (num.Bit0 ?m) (num.Bit0 ?n) \<equiv>
### case divmod ?m ?n of (q, r) \<Rightarrow> (q, 2 * r)
### Code generator: dropping subsumed code equation
### divmod num.One (num.Bit1 ?n) \<equiv> (0, Numeral1)
### Code generator: dropping subsumed code equation
### divmod num.One (num.Bit0 ?n) \<equiv> (0, Numeral1)
### Code generator: dropping subsumed code equation
### divmod (num.Bit1 ?m) num.One \<equiv> (numeral (num.Bit1 ?m), 0)
### Code generator: dropping subsumed code equation
### divmod (num.Bit0 ?m) num.One \<equiv> (numeral (num.Bit0 ?m), 0)
### Code generator: dropping subsumed code equation
### divmod num.One num.One \<equiv> (Numeral1, 0)
command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=1601name=lemmaelapsed=0.014
### Code generator: dropping subsumed code equation
### equal_class.equal ?k ?k \<equiv> True
### Code generator: dropping subsumed code equation
### equal_class.equal (Int.Neg ?k) (Int.Neg ?l) \<equiv> equal_class.equal ?k ?l
### Code generator: dropping subsumed code equation
### equal_class.equal (Int.Neg ?k) (Int.Pos ?l) \<equiv> False
### Code generator: dropping subsumed code equation
### equal_class.equal (Int.Neg ?k) 0 \<equiv> False
command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=172name=theoryelapsed=0.090
### Code generator: dropping subsumed code equation
### equal_class.equal (Int.Pos ?k) (Int.Neg ?l) \<equiv> False
### Code generator: dropping subsumed code equation
### equal_class.equal (Int.Pos ?k) (Int.Pos ?l) \<equiv> equal_class.equal ?k ?l
### Code generator: dropping subsumed code equation
### equal_class.equal (Int.Pos ?k) 0 \<equiv> False
### Code generator: dropping subsumed code equation
### equal_class.equal 0 (Int.Neg ?l) \<equiv> False
### Code generator: dropping subsumed code equation
### equal_class.equal 0 (Int.Pos ?l) \<equiv> False
### Code generator: dropping subsumed code equation
### equal_class.equal 0 0 \<equiv> True
### Code generator: dropping subsumed code equation
### Int.Neg ?k \<le> Int.Neg ?l \<equiv> ?l \<le> ?k
### Code generator: dropping subsumed code equation
### Int.Neg ?k \<le> Int.Pos ?l \<equiv> True
### Code generator: dropping subsumed code equation
### Int.Neg ?k \<le> 0 \<equiv> True
### Code generator: dropping subsumed code equation
### Int.Pos ?k \<le> Int.Neg ?l \<equiv> False
### Code generator: dropping subsumed code equation
### Int.Pos ?k \<le> Int.Pos ?l \<equiv> ?k \<le> ?l
### Code generator: dropping subsumed code equation
### Int.Pos ?k \<le> 0 \<equiv> False
### Code generator: dropping subsumed code equation
### 0 \<le> Int.Neg ?l \<equiv> False
### Code generator: dropping subsumed code equation
### 0 \<le> Int.Pos ?l \<equiv> True
### Code generator: dropping subsumed code equation
### 0 \<le> 0 \<equiv> True
### Code generator: dropping subsumed code equation
### Int.Neg ?k < Int.Neg ?l \<equiv> ?l < ?k
command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=328name=lift_definitionelapsed=0.016
### Code generator: dropping subsumed code equation
### Int.Neg ?k < Int.Pos ?l \<equiv> True
### Code generator: dropping subsumed code equation
### Int.Neg ?k < 0 \<equiv> True
### Code generator: dropping subsumed code equation
### Int.Pos ?k < Int.Neg ?l \<equiv> False
### Code generator: dropping subsumed code equation
### Int.Pos ?k < Int.Pos ?l \<equiv> ?k < ?l
### Code generator: dropping subsumed code equation
### Int.Pos ?k < 0 \<equiv> False
### Code generator: dropping subsumed code equation
### 0 < Int.Neg ?l \<equiv> False
### Code generator: dropping subsumed code equation
### 0 < Int.Pos ?l \<equiv> True
### Code generator: dropping subsumed code equation
### 0 < 0 \<equiv> False
command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=644name=lemmaelapsed=0.010
command_timing = :file=~~/src/HOL/Library/Monad_Syntax.thyoffset=148name=theoryelapsed=0.244
### Code generator: dropping subsumed code equation
### Divides.divmod_nat ?m ?n \<equiv>
### if ?n = 0 \<or> ?m < ?n then (0, ?m)
### else let (q, y) = Divides.divmod_nat (?m - ?n) ?n in (Suc q, y)
### Code generator: dropping subsumed code equation
### divmod (num.Bit1 ?m) (num.Bit1 ?n) \<equiv>
### if ?m < ?n then (0, numeral (num.Bit1 ?m))
### else divmod_step (num.Bit1 ?n)
###       (divmod (num.Bit1 ?m) (num.Bit0 (num.Bit1 ?n)))
### Code generator: dropping subsumed code equation
### divmod (num.Bit0 ?m) (num.Bit1 ?n) \<equiv>
### if ?m \<le> ?n then (0, numeral (num.Bit0 ?m))
### else divmod_step (num.Bit1 ?n)
###       (divmod (num.Bit0 ?m) (num.Bit0 (num.Bit1 ?n)))
### Code generator: dropping subsumed code equation
### divmod (num.Bit1 ?m) (num.Bit0 ?n) \<equiv>
### case divmod ?m ?n of (q, r) \<Rightarrow> (q, 2 * r + 1)
### Code generator: dropping subsumed code equation
### divmod (num.Bit0 ?m) (num.Bit0 ?n) \<equiv>
### case divmod ?m ?n of (q, r) \<Rightarrow> (q, 2 * r)
### Code generator: dropping subsumed code equation
### divmod num.One (num.Bit1 ?n) \<equiv> (0, Numeral1)
### Code generator: dropping subsumed code equation
### divmod num.One (num.Bit0 ?n) \<equiv> (0, Numeral1)
### Code generator: dropping subsumed code equation
### divmod (num.Bit1 ?m) num.One \<equiv> (numeral (num.Bit1 ?m), 0)
### Code generator: dropping subsumed code equation
### divmod (num.Bit0 ?m) num.One \<equiv> (numeral (num.Bit0 ?m), 0)
### Code generator: dropping subsumed code equation
### divmod num.One num.One \<equiv> (Numeral1, 0)
command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=1859name=lemmaelapsed=0.016
command_timing = :file=~~/src/HOL/Library/Monad_Syntax.thyoffset=1214name=translationselapsed=0.015
### theory "Monad_Syntax"
### 0.308s elapsed time, 1.164s cpu time, 0.000s GC time
Loading theory "Permutation" (required by "Affine_Arithmetic" via "Affine_Code" via "Affine_Approximation" via "Affine_Form")
loading_theory = Permutation
### Code generator: dropping subsumed code equation
### Suc ?m \<le> ?n \<equiv> ?m < ?n
### Code generator: dropping subsumed code equation
### 0 \<le> ?n \<equiv> True
signature FERRANTE_RACKOF_DATA =
  sig
    val add: entry -> attribute
    val del: attribute
    type entry
    val funs:
       thm ->
         {isolate_conv:
          morphism -> Proof.context -> cterm list -> cterm -> thm,
          simpset: morphism -> Proof.context -> simpset,
          whatis: morphism -> cterm -> cterm -> ord}
           -> declaration
    val get: Proof.context -> (thm * entry) list
    val match: Proof.context -> cterm -> entry option
    datatype ord = Eq | Ge | Gt | Le | Lt | NEq | Nox
  end
structure Ferrante_Rackoff_Data: FERRANTE_RACKOF_DATA
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=301name=ML_fileelapsed=0.175
### Code generator: dropping subsumed code equation
### ?m < Suc ?n \<equiv> ?m \<le> ?n
### Code generator: dropping subsumed code equation
### ?n < 0 \<equiv> False
command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=2306name=lemmaelapsed=0.134
command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=2306name=lemmaelapsed=0.012
### Code generator: dropping subsumed code equation
### of_int (Int.Pos ?k) \<equiv> numeral ?k
### Code generator: dropping subsumed code equation
### of_int 0 \<equiv> 0::?'a
### Code generator: dropping subsumed code equation
### of_int (Int.Neg ?k) \<equiv> - numeral ?k
### Code generator: dropping subsumed code equation
### nat (Int.Pos ?k) \<equiv> nat_of_num ?k
### Code generator: dropping subsumed code equation
### nat 0 \<equiv> 0
### Code generator: dropping subsumed code equation
### nat (Int.Neg ?k) \<equiv> 0
### theory "Code_Target_Int"
### 0.472s elapsed time, 1.736s cpu time, 0.000s GC time
Loading theory "Quotient_Syntax" (required by "Quotient_Set")
loading_theory = Quotient_Syntax
ML_statistics = :now=1464099897.28tasks_ready=51tasks_pending=18tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=0size_allocation=1025867776size_allocation_free=556919408size_heap=1025867776size_heap_free_last_full_GC=0size_heap_free_last_GC=0threads_in_ML=5threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=4.576time_GC=0user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=2495name=lemmaelapsed=0.068
command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=2495name=lemmaelapsed=0.010
### Code generator: dropping subsumed code equation
### of_nat ?n \<equiv>
### semiring_1_class.of_nat_aux (\<lambda>i. i + (1::?'a)) ?n (0::?'a)
command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=2951name=definitionelapsed=0.011
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=151name=theoryelapsed=0.118
command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=3249name=lemmaelapsed=0.029
Proofs for inductive predicate(s) "perm"
command_timing = :file=~~/src/HOL/Library/Quotient_Syntax.thyoffset=154name=theoryelapsed=0.102
### Code generator: dropping subsumed code equation
### term_of_class.term_of ?x \<equiv>
### Code_Evaluation.App
###  (Code_Evaluation.Const (STR ''Code_Target_Nat.Nat'')
###    (typerep.Typerep (STR ''fun'')
###      [typerep.Typerep (STR ''Code_Numeral.integer'') [],
###       typerep.Typerep (STR ''Nat.nat'') []]))
###  (term_of_class.term_of (integer_of_nat ?x))
command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=3249name=lemmaelapsed=0.017
  Proving monotonicity ...
  Proving the introduction rules ...
command_timing = :file=~~/src/HOL/Library/Quotient_Syntax.thyoffset=197name=notationelapsed=0.010
  Proving the elimination rules ...
  Proving the induction rule ...
### theory "Quotient_Syntax"
### 0.118s elapsed time, 0.464s cpu time, 0.000s GC time
Loading theory "Quotient_Set"
loading_theory = Quotient_Set
class linorder = order +
  assumes "linear": "\<And>x y. x \<le> y \<or> y \<le> x"
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=337name=contextelapsed=0.166
  Proving the simplification rules ...
### theory "Code_Target_Nat"
### 0.420s elapsed time, 1.608s cpu time, 0.000s GC time
Loading theory "Code_Target_Numeral" (required by "Affine_Arithmetic" via "Affine_Code" via "Affine_Approximation")
loading_theory = Code_Target_Numeral
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=194name=inductiveelapsed=0.081
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=447name=lemmaelapsed=0.075
command_timing = :file=~~/src/HOL/Library/Quotient_Set.thyoffset=154name=theoryelapsed=0.092
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=447name=lemmaelapsed=0.026
command_timing = :file=~~/src/HOL/Library/Quotient_Set.thyoffset=298name=definitionelapsed=0.015
### Ignoring duplicate safe introduction (intro!)
### ?xs <~~> ?ys \<Longrightarrow> ?z # ?xs <~~> ?z # ?ys
### Ignoring duplicate safe introduction (intro!)
### ?xs <~~> ?ys \<Longrightarrow> ?z # ?xs <~~> ?z # ?ys
command_timing = :file=~~/src/HOL/Library/Quotient_Set.thyoffset=1883name=lemmaelapsed=0.010
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=5683name=theoremelapsed=0.010
### theory "Quotient_Set"
### 0.250s elapsed time, 1.028s cpu time, 0.000s GC time
Loading theory "Lattice_Algebras"
loading_theory = Lattice_Algebras
### theory "Permutation"
### 0.424s elapsed time, 1.708s cpu time, 0.000s GC time
Loading theory "Affine_Form" (required by "Affine_Arithmetic" via "Affine_Code" via "Affine_Approximation")
loading_theory = Affine_Form
command_timing = :file=~~/src/HOL/Library/Code_Target_Numeral.thyoffset=188name=theoryelapsed=0.312
### theory "Code_Target_Numeral"
### 0.318s elapsed time, 1.300s cpu time, 0.000s GC time
Loading theory "Counterclockwise" (required by "Affine_Arithmetic" via "Intersection" via "Polygon" via "Counterclockwise_2D_Strict" via "Counterclockwise_Vector")
loading_theory = Counterclockwise
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=2844name=lemmaelapsed=0.014
ML_statistics = :now=1464099897.78tasks_ready=135tasks_pending=15tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=0size_allocation=1964343296size_allocation_free=742230624size_heap=1964343296size_heap_free_last_full_GC=0size_heap_free_last_GC=0threads_in_ML=5threads_total=11threads_wait_condvar=3threads_wait_IO=0threads_wait_mutex=2threads_wait_signal=1time_CPU=6.116time_GC=0user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=3008name=lemmaelapsed=0.015
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=110name=theoryelapsed=0.171
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=3349name=lemmaelapsed=0.010
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=3428name=lemmaelapsed=0.230
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=28name=theoryelapsed=0.491
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=191name=lemmaelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=7075name=lemmaelapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=736name=lemmaelapsed=0.075
locale linorder_list0 =
  fixes LE :: "'a \<Rightarrow> 'a \<Rightarrow> bool" 
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=7418name=lemmaelapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=1521name=definitionelapsed=0.014
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=7762name=lemmaelapsed=0.010
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=7924name=lemmaelapsed=0.015
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=9623name=lemmaelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=1784name=functionelapsed=0.139
ML_statistics = :now=1464099898.49tasks_ready=178tasks_pending=15tasks_running=4tasks_passive=1tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=1size_allocation=2097512448size_allocation_free=889380968size_heap=2136997888size_heap_free_last_full_GC=0size_heap_free_last_GC=2098991848threads_in_ML=5threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=10.12time_GC=0.22user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=1784name=functionelapsed=0.022
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=10365name=contextelapsed=0.133
Proofs for inductive predicate(s) "sortedP"
  Proving monotonicity ...
  Proving the introduction rules ...
  Proving the elimination rules ...
  Proving the induction rule ...
  Proving the simplification rules ...
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=2884name=inductiveelapsed=0.042
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=3090name=inductive_simpselapsed=0.010
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=12453name=lemmaselapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=12808name=declareelapsed=0.020
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=162name=classelapsed=0.812
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=23name=theoryelapsed=0.941
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=214name=lemmaelapsed=0.010
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=12919name=declareelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=4811name=lemmaelapsed=0.028
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=13397name=lemmaselapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=1761name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=2162name=lemmaelapsed=0.011
locale linorder_list =
  fixes LE :: "'a \<Rightarrow> 'a \<Rightarrow> bool" 
    and S :: "'a set" 
  assumes "linorder_list LE S"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=5294name=localeelapsed=0.063
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=2546name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=2713name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=5966name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=2846name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=6109name=lemmaelapsed=0.011
locale ccw_system0 =
  fixes ccw :: "'a \<Rightarrow> 'a \<Rightarrow> 'a \<Rightarrow> bool" 
    and S :: "'a set" 
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=3381name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=7686name=abbreviationelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=7753name=abbreviationelapsed=0.014
### ML warning (line 19 of "~~/src/HOL/Decision_Procs/langford.ML"):
### Value identifier (t) has not been referenced.
### ML warning (line 18 of "~~/src/HOL/Decision_Procs/langford.ML"):
### Matches are not exhaustive.
### ML warning (line 24 of "~~/src/HOL/Decision_Procs/langford.ML"):
### Pattern is not exhaustive.
### ML warning (line 92 of "~~/src/HOL/Decision_Procs/langford.ML"):
### Value identifier (q) has not been referenced.
### ML warning (line 92 of "~~/src/HOL/Decision_Procs/langford.ML"):
### Value identifier (p) has not been referenced.
### ML warning (line 92 of "~~/src/HOL/Decision_Procs/langford.ML"):
### Matches are not exhaustive.
### ML warning (line 102 of "~~/src/HOL/Decision_Procs/langford.ML"):
### Matches are not exhaustive.
signature LANGFORD =
  sig
    val dlo_conv: Proof.context -> cterm -> thm
    val dlo_tac: Proof.context -> int -> tactic
  end
structure Langford: LANGFORD
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=7897name=abbreviationelapsed=0.010
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=13461name=ML_fileelapsed=0.160
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=3878name=typedefelapsed=0.039
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=7977name=abbreviationelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=8172name=abbreviationelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=3878name=typedefelapsed=0.074
locale ccw_system12 =
  fixes ccw :: "'a \<Rightarrow> 'a \<Rightarrow> 'a \<Rightarrow> bool" 
    and S :: "'a set" 
  assumes "ccw_system12 ccw S"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=8228name=localeelapsed=0.040
locale ccw_system123 =
  fixes ccw :: "'a \<Rightarrow> 'a \<Rightarrow> 'a \<Rightarrow> bool" 
    and S :: "'a set" 
  assumes "ccw_system123 ccw S"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=8388name=localeelapsed=0.047
ML_statistics = :now=1464099898.99tasks_ready=236tasks_pending=16tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=1size_allocation=2499117056size_allocation_free=164528872size_heap=2538602496size_heap_free_last_full_GC=0size_heap_free_last_GC=2098991848threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=11.756time_GC=0.22user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=8514name=lemmaelapsed=0.010
locale ccw_system4 =
  fixes ccw :: "'a \<Rightarrow> 'a \<Rightarrow> 'a \<Rightarrow> bool" 
    and S :: "'a set" 
  assumes "ccw_system4 ccw S"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=8639name=localeelapsed=0.060
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=4028name=setup_liftingelapsed=0.133
locale linorder_stupid_syntax =
  fixes less_eq :: "'a \<Rightarrow> 'a \<Rightarrow> bool" 
    and less :: "'a \<Rightarrow> 'a \<Rightarrow> bool" 
  assumes "linorder_stupid_syntax less_eq less"
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=13768name=localeelapsed=0.204
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=8791name=lemmaelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=13816name=notationelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=4152name=definitionelapsed=0.024
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=4284name=definitionelapsed=0.029
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=4382name=lemmaelapsed=0.010
locale ccw_system1235' =
  fixes ccw :: "'a \<Rightarrow> 'a \<Rightarrow> 'a \<Rightarrow> bool" 
    and S :: "'a set" 
  assumes "ccw_system1235' ccw S"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=8955name=localeelapsed=0.063
instantiation
  pdevs :: (equal) equal
  equal_pdevs == equal_class.equal ::
    'a pdevs \<Rightarrow> 'a pdevs \<Rightarrow> bool
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=4572name=definitionelapsed=0.039
locale ccw_system1235 =
  fixes ccw :: "'a \<Rightarrow> 'a \<Rightarrow> 'a \<Rightarrow> bool" 
    and S :: "'a set" 
  assumes "ccw_system1235 ccw S"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=9146name=localeelapsed=0.062
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=4908name=definitionelapsed=0.025
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=5038name=definitionelapsed=0.023
locale ccw_system =
  fixes ccw :: "'a \<Rightarrow> 'a \<Rightarrow> 'a \<Rightarrow> bool" 
    and S :: "'a set" 
  assumes "ccw_system ccw S"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=9889name=localeelapsed=0.023
### theory "Counterclockwise"
### 1.533s elapsed time, 5.796s cpu time, 0.220s GC time
Loading theory "Counterclockwise_Vector" (required by "Affine_Arithmetic" via "Intersection" via "Polygon" via "Counterclockwise_2D_Strict")
loading_theory = Counterclockwise_Vector
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=5153name=definitionelapsed=0.025
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=5286name=lemmaelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=5505name=lemmaelapsed=0.014
locale linorder_no_ub =
  fixes less_eq :: "'a \<Rightarrow> 'a \<Rightarrow> bool" 
    and less :: "'a \<Rightarrow> 'a \<Rightarrow> bool" 
  assumes "linorder_no_ub op \<sqsubseteq> op \<sqsubset>"
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=13950name=localeelapsed=0.241
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=5690name=lemmaelapsed=0.031
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=14146name=lemmaelapsed=0.011
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=14759name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=6606name=lemmaelapsed=0.021
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=7090name=lemmaelapsed=0.021
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=7482name=definitionelapsed=0.028
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=7673name=lemmaelapsed=0.023
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=7966name=definitionelapsed=0.019
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=28name=theoryelapsed=0.238
ML_statistics = :now=1464099899.49tasks_ready=255tasks_pending=15tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=1size_allocation=3244654592size_allocation_free=292312520size_heap=3284140032size_heap_free_last_full_GC=0size_heap_free_last_GC=2098991848threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=13.172time_GC=0.22user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=8271name=definitionelapsed=0.028
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=9375name=lemmaelapsed=0.010
locale ccw_vector_space =
  fixes ccw :: "'a \<Rightarrow> 'a \<Rightarrow> 'a \<Rightarrow> bool" 
    and S :: "'a set" 
  assumes "ccw_vector_space ccw S"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=91name=localeelapsed=0.081
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=9708name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=10254name=lemmaelapsed=0.012
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=716name=classelapsed=0.944
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=10532name=lemmaelapsed=0.010
locale linorder_no_lb =
  fixes less_eq :: "'a \<Rightarrow> 'a \<Rightarrow> bool" 
    and less :: "'a \<Rightarrow> 'a \<Rightarrow> bool" 
  assumes "linorder_no_lb op \<sqsubseteq> op \<sqsubset>"
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=15689name=localeelapsed=0.260
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=799name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=10795name=lemmaelapsed=0.010
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=15886name=lemmaelapsed=0.013
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=1142name=lemmaelapsed=0.014
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=16500name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=1648name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=11055name=definitionelapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=11166name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=2063name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=11444name=definitionelapsed=0.039
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=11655name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=3112name=lemmaelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=3418name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=4003name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=11796name=lift_definitionelapsed=0.056
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=11796name=lift_definitionelapsed=0.061
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=12008name=lemmaelapsed=0.014
locale ccw_convex =
  fixes ccw :: "'a \<Rightarrow> 'a \<Rightarrow> 'a \<Rightarrow> bool" 
    and S :: "'a set" 
    and oriented :: "'a \<Rightarrow> 'a \<Rightarrow> bool" 
  assumes "ccw_convex ccw S oriented"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=4343name=localeelapsed=0.069
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=12254name=definitionelapsed=0.020
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=4569name=lemmaelapsed=0.017
### theory "Counterclockwise_Vector"
### 0.663s elapsed time, 2.308s cpu time, 0.000s GC time
Loading theory "Counterclockwise_2D_Strict" (required by "Affine_Arithmetic" via "Intersection" via "Polygon")
loading_theory = Counterclockwise_2D_Strict
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=12500name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=13945name=definitionelapsed=0.025
ML_statistics = :now=1464099899.99tasks_ready=305tasks_pending=14tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=1size_allocation=4020600832size_allocation_free=463170608size_heap=4060086272size_heap_free_last_full_GC=0size_heap_free_last_GC=2098991848threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=14.584time_GC=0.22user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
locale constr_dense_linorder =
  fixes less_eq :: "'a \<Rightarrow> 'a \<Rightarrow> bool" 
    and less :: "'a \<Rightarrow> 'a \<Rightarrow> bool" 
    and between :: "'a \<Rightarrow> 'a \<Rightarrow> 'a" 
  assumes "constr_dense_linorder op \<sqsubseteq> op \<sqsubset> between"
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=17390name=localeelapsed=0.346
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=14211name=lift_definitionelapsed=0.044
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=17599name=sublocaleelapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=14211name=lift_definitionelapsed=0.393
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=17848name=lemmaelapsed=0.359
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=19753name=theoremelapsed=0.019
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=15491name=definitionelapsed=0.020
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=16144name=definitionelapsed=0.019
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=21431name=lemmaselapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=16532name=lemmaelapsed=0.013
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=21973name=declarationelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=50name=theoryelapsed=0.587
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=16779name=definitionelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=17251name=definitionelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=17571name=lift_definitionelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=17819name=definitionelapsed=0.013
### ML warning (line 33 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Value identifier (simpset) has not been referenced.
### ML warning (line 32 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Value identifier (atoms) has not been referenced.
### ML warning (line 31 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Value identifier (entr) has not been referenced.
### ML warning (line 35 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Value identifier (vs) has not been referenced.
### ML warning (line 35 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Matches are not exhaustive.
### ML warning (line 63 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Matches are not exhaustive.
### ML warning (line 81 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Value identifier (xT) has not been referenced.
### ML warning (line 90 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Pattern is not exhaustive.
### ML warning (line 102 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Matches are not exhaustive.
### ML warning (line 113 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Pattern is not exhaustive.
### ML warning (line 115 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Pattern is not exhaustive.
### ML warning (line 117 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Pattern is not exhaustive.
### ML warning (line 119 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Pattern is not exhaustive.
### ML warning (line 121 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Pattern is not exhaustive.
### ML warning (line 149 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Matches are not exhaustive.
### ML warning (line 147 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Pattern is not exhaustive.
### ML warning (line 143 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Pattern is not exhaustive.
### ML warning (line 149 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Matches are not exhaustive.
### ML warning (line 147 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Pattern is not exhaustive.
### ML warning (line 143 of "~~/src/HOL/Decision_Procs/ferrante_rackoff.ML"):
### Pattern is not exhaustive.
signature FERRANTE_RACKOFF =
  sig
    val dlo_conv: Proof.context -> conv
    val dlo_tac: Proof.context -> int -> tactic
  end
structure FerranteRackoff: FERRANTE_RACKOFF
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=23419name=ML_fileelapsed=0.103
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=17892name=definitionelapsed=0.019
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=18332name=definitionelapsed=0.021
Found termination order: "{}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=221name=funelapsed=0.144
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=18501name=definitionelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=595name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=18605name=definitionelapsed=0.026
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=3633name=lemmaelapsed=0.011
### Partially applied constant "Orderings.ord_class.less_eq" on left hand side of equation, in theorem:
### linorder.Min op \<le> (set (?x # ?xs)) \<equiv>
### fold (ord.min op \<le>) ?xs ?x
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=3798name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=18934name=definitionelapsed=0.027
### Partially applied constant "Orderings.ord_class.less_eq" on left hand side of equation, in theorem:
### linorder.Max op \<le> (set (?x # ?xs)) \<equiv>
### fold (ord.max op \<le>) ?xs ?x
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=4199name=lemmaelapsed=0.010
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=27316name=interpretationelapsed=0.090
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=20051name=lift_definitionelapsed=0.023
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=6746name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=7104name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=20051name=lift_definitionelapsed=0.029
ML_statistics = :now=1464099900.82tasks_ready=378tasks_pending=14tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=2size_allocation=4114612224size_allocation_free=3012116456size_heap=4148166656size_heap_free_last_full_GC=0size_heap_free_last_GC=4115914592threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=17.468time_GC=0.556user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=20786name=definitionelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=20835name=definitionelapsed=0.015
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=1355name=classelapsed=1.217
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=21338name=definitionelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=10522name=definitionelapsed=0.016
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=1422name=subclasselapsed=0.067
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=27483name=declarationelapsed=0.136
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=21674name=lift_definitionelapsed=0.030
### theory "Dense_Linear_Order"
### 4.100s elapsed time, 14.484s cpu time, 0.556s GC time
Loading theory "Euclidean_Space_Explicit" (required by "Affine_Arithmetic" via "Affine_Code" via "Affine_Approximation")
loading_theory = Euclidean_Space_Explicit
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=10564name=interpretationelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=21674name=lift_definitionelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=10674name=interpretationelapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=23284name=lemmaelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=12534name=lemmaelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=24951name=definitionelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=25964name=definitionelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=26646name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Euclidean_Space_Explicit.thyoffset=52name=theoryelapsed=0.212
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=27674name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=16554name=lemmaelapsed=0.015
### theory "Counterclockwise_2D_Strict"
### 1.242s elapsed time, 3.820s cpu time, 0.336s GC time
Loading theory "Counterclockwise_2D_Arbitrary" (required by "Affine_Arithmetic" via "Intersection")
loading_theory = Counterclockwise_2D_Arbitrary
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Euclidean_Space_Explicit.thyoffset=215name=definitionelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=29325name=definitionelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=29478name=lemmaelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Euclidean_Space_Explicit.thyoffset=300name=definitionelapsed=0.054
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=33645name=lift_definitionelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=33645name=lift_definitionelapsed=0.020
ML_statistics = :now=1464099901.32tasks_ready=471tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=2size_allocation=4114612224size_allocation_free=2156751464size_heap=4148166656size_heap_free_last_full_GC=0size_heap_free_last_GC=4115914592threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=19.068time_GC=0.556user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=1422name=subclasselapsed=0.421
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=36085name=lemmaelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=38325name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=49name=theoryelapsed=0.223
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=1463name=subclasselapsed=0.068
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=42765name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=188name=definitionelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=44104name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=304name=definitionelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=394name=definitionelapsed=0.021
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Euclidean_Space_Explicit.thyoffset=744name=named_theoremselapsed=0.231
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=46743name=lemmaelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=532name=interpretationelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=47333name=definitionelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=47631name=lift_definitionelapsed=0.019
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=979name=lemmaelapsed=0.019
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=47631name=lift_definitionelapsed=0.027
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=1921name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=48904name=definitionelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=2589name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=48983name=definitionelapsed=0.020
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=3998name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=50812name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=6021name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Euclidean_Space_Explicit.thyoffset=829name=named_theoremselapsed=0.235
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=8107name=definitionelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=8150name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=8393name=lemmaelapsed=0.017
ML_statistics = :now=1464099901.82tasks_ready=564tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=2size_allocation=4114612224size_allocation_free=1534325024size_heap=4148166656size_heap_free_last_full_GC=0size_heap_free_last_GC=4115914592threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=20.668time_GC=0.556user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=1463name=subclasselapsed=0.424
### theory "Affine_Form"
### 4.155s elapsed time, 14.776s cpu time, 0.556s GC time
Loading theory "Polygon" (required by "Affine_Arithmetic" via "Intersection")
loading_theory = Polygon
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=1505name=lemmaselapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=10612name=lemmaelapsed=0.021
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=15549name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=16921name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=17209name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=17979name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=20546name=lemmaelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Euclidean_Space_Explicit.thyoffset=934name=named_theoremselapsed=0.237
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=22445name=lemmaelapsed=0.014
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=3490name=definitionelapsed=0.041
val Basis_simps = fn: Proof.context -> Proof.context
val Outer_simps = fn: Proof.context -> Proof.context
val Inner_simps = fn: Proof.context -> Proof.context
val rewrite_outer_eucl = fn: Proof.context -> conv
val rewrite_split_beta = fn: Proof.context -> conv
val represent_euclidean = fn: cterm -> cterm -> thm
val rewrite_inner_eucl = fn:
   cterm list ->
     (cterm list -> Proof.context -> conv) -> Proof.context -> conv
val component_conv = fn: conv -> cterm -> thm
val euclidify = fn: Proof.context -> conv
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Euclidean_Space_Explicit.thyoffset=1703name=MLelapsed=0.022
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Euclidean_Space_Explicit.thyoffset=3375name=lemmaelapsed=0.028
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=3547name=definitionelapsed=0.043
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Euclidean_Space_Explicit.thyoffset=3907name=lemmaelapsed=0.020
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Euclidean_Space_Explicit.thyoffset=4512name=lemmaelapsed=0.017
### theory "Euclidean_Space_Explicit"
### 1.131s elapsed time, 4.520s cpu time, 0.000s GC time
Loading theory "While_Combinator"
loading_theory = While_Combinator
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Polygon.thyoffset=1name=theoryelapsed=0.214
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Polygon.thyoffset=89name=definitionelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=28912name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=29666name=lemmaelapsed=0.012
command_timing = :file=~~/src/HOL/Library/While_Combinator.thyoffset=159name=theoryelapsed=0.081
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=31057name=lemmaelapsed=0.013
command_timing = :file=~~/src/HOL/Library/While_Combinator.thyoffset=233name=definitionelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=32885name=lemmaelapsed=0.012
### theory "Counterclockwise_2D_Arbitrary"
### 0.999s elapsed time, 3.984s cpu time, 0.000s GC time
command_timing = :file=~~/src/HOL/Library/While_Combinator.thyoffset=2596name=lemmaelapsed=0.012
Found termination order: "{}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Polygon.thyoffset=886name=funelapsed=0.120
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Polygon.thyoffset=1023name=lemmaelapsed=0.417
command_timing = :file=~~/src/HOL/Library/While_Combinator.thyoffset=6650name=lemmaelapsed=0.419
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=7637name=lemmaelapsed=0.424
command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=1767name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Polygon.thyoffset=1150name=definitionelapsed=0.023
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Polygon.thyoffset=1291name=lemmaelapsed=0.010
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=8261name=declareelapsed=0.013
command_timing = :file=~~/src/HOL/Library/While_Combinator.thyoffset=7342name=theoremelapsed=0.010
ML_statistics = :now=1464099902.72tasks_ready=638tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=3size_allocation=4063232000size_allocation_free=4063232000size_heap=4132438016size_heap_free_last_full_GC=0size_heap_free_last_GC=4063892296threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=23.196time_GC=0.96user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Polygon.thyoffset=1710name=definitionelapsed=0.019
command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=806name=byelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Polygon.thyoffset=2429name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Polygon.thyoffset=2986name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Polygon.thyoffset=3223name=lemmaelapsed=0.016
command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=1412name=byelapsed=0.042
### Ignoring duplicate rewrite rule:
### of_nat (?m1 * ?n1) \<equiv> of_nat ?m1 * of_nat ?n1
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Polygon.thyoffset=3504name=primrecelapsed=0.022
command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=1944name=byelapsed=0.012
Found termination order: "{}"
command_timing = :file=~~/src/HOL/Library/While_Combinator.thyoffset=10341name=funelapsed=0.094
command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=2545name=haveelapsed=0.022
command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=2607name=showelapsed=0.021
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Polygon.thyoffset=5602name=primrecelapsed=0.015
command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=2714name=haveelapsed=0.021
command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=2776name=showelapsed=0.019
command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=3231name=byelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Polygon.thyoffset=7666name=lemmaelapsed=0.010
Found termination order: "{}"
command_timing = :file=~~/src/HOL/Library/While_Combinator.thyoffset=10461name=funelapsed=0.168
command_timing = :file=~~/src/HOL/Library/While_Combinator.thyoffset=10655name=definitionelapsed=0.011
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=1709name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Polygon.thyoffset=10607name=lemmaelapsed=0.022
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=937name=byelapsed=0.023
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Polygon.thyoffset=12173name=lemmaelapsed=0.015
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=2065name=byelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Polygon.thyoffset=14659name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Polygon.thyoffset=15194name=lemmaelapsed=0.013
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=2506name=byelapsed=0.023
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Polygon.thyoffset=15718name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Polygon.thyoffset=17753name=lemmaelapsed=0.011
### theory "Polygon"
### 1.274s elapsed time, 3.856s cpu time, 0.404s GC time
Found termination order: "{}"
command_timing = :file=~~/src/HOL/Library/Quotient_Set.thyoffset=868name=haveelapsed=0.019
command_timing = :file=~~/src/HOL/Library/While_Combinator.thyoffset=10807name=funelapsed=0.145
command_timing = :file=~~/src/HOL/Library/Quotient_Set.thyoffset=930name=showelapsed=0.018
command_timing = :file=~~/src/HOL/Library/While_Combinator.thyoffset=11432name=lemmaelapsed=0.010
### theory "While_Combinator"
### 1.130s elapsed time, 3.284s cpu time, 0.404s GC time
ML_statistics = :now=1464099903.22tasks_ready=675tasks_pending=11tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=3size_allocation=4063232000size_allocation_free=2849597208size_heap=4132438016size_heap_free_last_full_GC=0size_heap_free_last_GC=4063892296threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=24.812time_GC=0.96user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=3604name=applyelapsed=0.033
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=3991name=applyelapsed=0.010
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=4646name=applyelapsed=0.015
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=4955name=applyelapsed=0.020
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=5012name=applyelapsed=0.050
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=5262name=applyelapsed=0.028
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=5306name=applyelapsed=0.019
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=5622name=byelapsed=0.016
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=5872name=showelapsed=0.018
class lattice_ab_group_add_abs = abs + lattice_ab_group_add +
  assumes "abs_lattice": "\<And>a. \<bar>a\<bar> = sup a (- a)"
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=9638name=classelapsed=0.759
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=5945name=showelapsed=0.018
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=6344name=obtainelapsed=0.020
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=6344name=obtainelapsed=0.015
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=6472name=letelapsed=0.017
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=10209name=subclasselapsed=0.064
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=6525name=showelapsed=0.016
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=7264name=obtainelapsed=0.023
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=7264name=obtainelapsed=0.015
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=7477name=showelapsed=0.015
ML_statistics = :now=1464099903.72tasks_ready=663tasks_pending=11tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=3size_allocation=4063232000size_allocation_free=1716741200size_heap=4132438016size_heap_free_last_full_GC=0size_heap_free_last_GC=4063892296threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=26.42time_GC=0.96user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=8426name=byelapsed=0.012
command_timing = :file=~~/src/HOL/Library/Quotient_Set.thyoffset=667name=byelapsed=0.692
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=4396name=haveelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=4424name=haveelapsed=0.015
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=5082name=haveelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=4600name=haveelapsed=0.015
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=5110name=haveelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=4634name=haveelapsed=0.015
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=5286name=haveelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=4682name=showelapsed=0.014
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=5320name=haveelapsed=0.019
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=5773name=haveelapsed=0.015
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=5373name=showelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=5801name=haveelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=5972name=haveelapsed=0.014
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=6389name=haveelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=6002name=showelapsed=0.014
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=6417name=haveelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=6588name=haveelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=455name=haveelapsed=0.034
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=6618name=showelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=570name=finallyelapsed=0.034
command_timing = :file=~~/src/HOL/Library/Permutation.thyoffset=2891name=byelapsed=0.841
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=10209name=subclasselapsed=0.408
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=578name=obtainelapsed=0.042
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=918name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=578name=obtainelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=978name=haveelapsed=0.032
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=7409name=byelapsed=0.108
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=715name=thuselapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=1052name=finallyelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=1234name=byelapsed=0.029
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=1391name=byelapsed=0.015
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=7752name=byelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=1060name=showelapsed=0.034
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=8371name=haveelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=10016name=obtainelapsed=0.020
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=1980name=byelapsed=0.021
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=8444name=haveelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=10016name=obtainelapsed=0.016
ML_statistics = :now=1464099904.22tasks_ready=652tasks_pending=11tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=3size_allocation=4063232000size_allocation_free=932603248size_heap=4132438016size_heap_free_last_full_GC=0size_heap_free_last_GC=4063892296threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=28.016time_GC=0.96user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=8486name=haveelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=10164name=haveelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=8523name=haveelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=10242name=showelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=8563name=haveelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=8636name=haveelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=2467name=showelapsed=0.035
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=8678name=haveelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=10469name=byelapsed=0.012
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=8715name=haveelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=8762name=haveelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=10782name=obtainelapsed=0.019
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=8809name=haveelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=10782name=obtainelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=8870name=haveelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=10852name=haveelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=8915name=haveelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=11031name=showelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=8976name=haveelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=11104name=letelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=2159name=byelapsed=0.201
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=9021name=haveelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=11124name=letelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=11769name=obtainelapsed=0.014
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=9592name=showelapsed=0.014
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=11769name=obtainelapsed=0.010
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=11155name=haveelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=11825name=haveelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=12158name=obtainelapsed=0.011
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=11227name=haveelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=11871name=haveelapsed=0.012
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=12158name=obtainelapsed=0.013
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=11302name=haveelapsed=0.216
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=11932name=showelapsed=0.213
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=12214name=haveelapsed=0.217
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=11344name=obtainelapsed=0.020
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=12260name=haveelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=11344name=obtainelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=12321name=showelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=11422name=haveelapsed=0.020
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=11480name=haveelapsed=0.020
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=11515name=ultimatelyelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=3477name=byelapsed=0.053
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=11526name=showelapsed=0.021
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=3622name=byelapsed=0.048
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=3301name=byelapsed=0.141
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=3996name=byelapsed=0.023
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=4530name=byelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=394name=byelapsed=0.024
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=4254name=applyelapsed=0.041
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=4714name=thuselapsed=0.038
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=662name=showelapsed=0.025
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=814name=byelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=4337name=applyelapsed=0.052
ML_statistics = :now=1464099904.92tasks_ready=660tasks_pending=11tasks_running=6tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=4size_allocation=3986685952size_allocation_free=3986685952size_heap=4161798144size_heap_free_last_full_GC=0size_heap_free_last_GC=3987623736threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=30.436time_GC=1.156user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=1314name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=1031name=byelapsed=0.052
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=1543name=byelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=1413name=thuselapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=1715name=byelapsed=0.045
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=2101name=byelapsed=0.030
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=12314name=classelapsed=1.151
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=12382name=subclasselapsed=0.068
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=1901name=byelapsed=0.320
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=5709name=byelapsed=0.067
ML_statistics = :now=1464099905.42tasks_ready=656tasks_pending=11tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=4size_allocation=3986685952size_allocation_free=3137088240size_heap=4161798144size_heap_free_last_full_GC=0size_heap_free_last_GC=3987623736threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=32.012time_GC=1.156user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=2312name=byelapsed=0.372
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=2793name=byelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=6079name=byelapsed=0.013
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=12382name=subclasselapsed=0.215
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=12423name=subclasselapsed=0.068
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=2960name=byelapsed=0.218
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=3141name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=2703name=byelapsed=0.310
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=6246name=henceelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=7316name=showelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=6303name=showelapsed=0.037
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=12423name=subclasselapsed=0.215
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=3594name=showelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=8624name=byelapsed=0.025
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=4134name=byelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=3692name=thuselapsed=0.036
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=13861name=instanceelapsed=0.060
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=8896name=byelapsed=0.094
ML_statistics = :now=1464099905.92tasks_ready=648tasks_pending=11tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=4size_allocation=3986685952size_allocation_free=1590762288size_heap=4161798144size_heap_free_last_full_GC=0size_heap_free_last_GC=3987623736threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=35.22time_GC=1.156user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=9500name=henceelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=4482name=byelapsed=0.157
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=9575name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=5446name=byelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=9649name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=9712name=ultimatelyelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=9725name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=5649name=byelapsed=0.108
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=13861name=instanceelapsed=0.299
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=9836name=thuselapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=5985name=haveelapsed=0.039
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=14345name=obtainelapsed=0.022
### theory "Lattice_Algebras"
### 8.520s elapsed time, 30.396s cpu time, 1.156s GC time
Loading theory "Float" (required by "Affine_Arithmetic" via "Affine_Code" via "Affine_Approximation" via "Float_Real")
loading_theory = Float
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=14345name=obtainelapsed=0.020
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=6071name=haveelapsed=0.045
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=14470name=obtainelapsed=0.021
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=14470name=obtainelapsed=0.019
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=14537name=haveelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=6247name=henceelapsed=0.040
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=14592name=haveelapsed=0.019
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=14728name=showelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=6336name=obtainelapsed=0.044
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=14957name=obtainelapsed=0.020
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=14957name=obtainelapsed=0.017
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command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=15082name=obtainelapsed=0.016
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command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=15150name=haveelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=15205name=haveelapsed=0.019
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=6834name=obtainelapsed=0.040
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=156name=theoryelapsed=0.187
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=15341name=showelapsed=0.018
ML_statistics = :now=1464099906.42tasks_ready=665tasks_pending=10tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=4size_allocation=3986685952size_allocation_free=1018052136size_heap=4161798144size_heap_free_last_full_GC=0size_heap_free_last_GC=3987623736threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=36.82time_GC=1.156user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
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command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=15558name=obtainelapsed=0.018
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=281name=typedefelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=6939name=showelapsed=0.036
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=15558name=obtainelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=15611name=showelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=7308name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=7884name=byelapsed=0.021
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=369name=setup_liftingelapsed=0.055
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=7410name=showelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=8656name=showelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=9197name=byelapsed=0.019
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=597name=byelapsed=0.010
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=5348name=lift_definitionelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=9879name=henceelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=819name=haveelapsed=0.037
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=5348name=lift_definitionelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=9952name=fixelapsed=0.035
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=5469name=code_datatypeelapsed=0.021
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=892name=haveelapsed=0.037
instantiation
  float :: {equal,linordered_idom}
  sgn_float == sgn :: float \<Rightarrow> float
  abs_float == abs :: float \<Rightarrow> float
  uminus_float == uminus :: float \<Rightarrow> float
  one_float == one_class.one :: float
  times_float == times :: float \<Rightarrow> float \<Rightarrow> float
  zero_float == zero_class.zero :: float
  minus_float == minus :: float \<Rightarrow> float \<Rightarrow> float
  less_eq_float == less_eq :: float \<Rightarrow> float \<Rightarrow> bool
  less_float == less :: float \<Rightarrow> float \<Rightarrow> bool
  plus_float == plus :: float \<Rightarrow> float \<Rightarrow> float
  equal_float == equal_class.equal ::
    float \<Rightarrow> float \<Rightarrow> bool
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=9991name=henceelapsed=0.035
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=5802name=lift_definitionelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=967name=finallyelapsed=0.034
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=5883name=lift_definitionelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=10212name=ultimatelyelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=975name=showelapsed=0.035
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=5962name=lift_definitionelapsed=0.022
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=10398name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=10223name=showelapsed=0.036
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=6066name=lift_definitionelapsed=0.022
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=10725name=byelapsed=0.013
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=6172name=lift_definitionelapsed=0.022
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=1301name=showelapsed=0.025
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=6278name=lift_definitionelapsed=0.020
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=6381name=lift_definitionelapsed=0.020
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=6472name=lift_definitionelapsed=0.020
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=6564name=lift_definitionelapsed=0.022
ML_statistics = :now=1464099906.92tasks_ready=693tasks_pending=10tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=4size_allocation=3986685952size_allocation_free=534672080size_heap=4161798144size_heap_free_last_full_GC=0size_heap_free_last_GC=3987623736threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=38.396time_GC=1.156user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=10924name=byelapsed=0.111
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=1515name=byelapsed=0.175
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=6653name=lift_definitionelapsed=0.192
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=16085name=obtainelapsed=0.022
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=6756name=lift_definitionelapsed=0.021
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=16085name=obtainelapsed=0.019
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=6854name=instanceelapsed=0.010
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=16210name=obtainelapsed=0.021
instantiation
  float :: lattice_ab_group_add
  inf_float == inf :: float \<Rightarrow> float \<Rightarrow> float
  sup_float == sup :: float \<Rightarrow> float \<Rightarrow> float
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=16210name=obtainelapsed=0.016
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=8130name=definitionelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=16278name=haveelapsed=0.016
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=8213name=definitionelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=16333name=haveelapsed=0.018
instantiation
  float :: exhaustive
  exhaustive_float == exhaustive_class.exhaustive ::
    (float \<Rightarrow> (bool \<times> term list) option)
    \<Rightarrow> natural \<Rightarrow> (bool \<times> term list) option
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=16469name=showelapsed=0.017
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=9407name=definitionelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=16699name=obtainelapsed=0.019
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=16699name=obtainelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=16824name=obtainelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=16824name=obtainelapsed=0.017
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=9587name=definitionelapsed=0.069
instantiation
  float :: full_exhaustive
  full_exhaustive_float == full_exhaustive_class.full_exhaustive ::
    (float \<times> (unit \<Rightarrow> term)
     \<Rightarrow> (bool \<times> term list) option)
    \<Rightarrow> natural \<Rightarrow> (bool \<times> term list) option
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=16892name=haveelapsed=0.019
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=9749name=definitionelapsed=0.019
instantiation
  float :: random
  random_float == random_class.random ::
    natural
    \<Rightarrow> natural \<times> natural
                  \<Rightarrow> (float \<times>
                                 (unit \<Rightarrow> term)) \<times>
                                natural \<times> natural
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command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=17083name=showelapsed=0.019
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=10988name=lemmaelapsed=0.013
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=11752name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=1807name=henceelapsed=0.038
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=12062name=lemmaelapsed=0.010
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=12949name=definitionelapsed=0.020
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=1860name=thuselapsed=0.037
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=13165name=definitionelapsed=0.020
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=17231name=obtainelapsed=0.021
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=14533name=lemmaelapsed=0.010
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=17231name=obtainelapsed=0.019
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=17300name=obtainelapsed=0.020
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=17300name=obtainelapsed=0.019
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=17121name=lift_definitionelapsed=0.014
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=17353name=showelapsed=0.019
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command_timing = :file=~~/src/HOL/Library/Float.thyoffset=18774name=lift_definitionelapsed=0.013
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=19016name=lift_definitionelapsed=0.013
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=19726name=definitionelapsed=0.016
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command_timing = :file=~~/src/HOL/Library/Float.thyoffset=19835name=definitionelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=11247name=byelapsed=0.167
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=1391name=byelapsed=0.951
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=2442name=applyelapsed=0.014
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=23838name=definitionelapsed=0.012
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=23931name=definitionelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=3389name=byelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=2574name=henceelapsed=0.035
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=24367name=lift_definitionelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=2634name=henceelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=3575name=obtainelapsed=0.038
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=24964name=lift_definitionelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=3575name=obtainelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=2753name=henceelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=2273name=applyelapsed=0.202
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=3625name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=2808name=henceelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=2300name=applyelapsed=0.014
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=28841name=definitionelapsed=0.013
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=2924name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=12184name=byelapsed=0.021
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=12469name=byelapsed=0.014
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=35441name=definitionelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=4787name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=3008name=haveelapsed=0.037
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=35951name=definitionelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=12860name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=3047name=finallyelapsed=0.029
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=4858name=showelapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=3055name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=12953name=haveelapsed=0.032
ML_statistics = :now=1464099908.06tasks_ready=805tasks_pending=10tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=5size_allocation=3991928832size_allocation_free=1831241304size_heap=4170186752size_heap_free_last_full_GC=0size_heap_free_last_GC=3992655240threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=42.664time_GC=1.324user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=3074name=ultimatelyelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=13046name=haveelapsed=0.037
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=38834name=lift_definitionelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_Vector.thyoffset=3085name=showelapsed=0.034
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=39138name=lift_definitionelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=13194name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=13799name=byelapsed=0.020
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=13306name=haveelapsed=0.039
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=40786name=definitionelapsed=0.015
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=17696name=showelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=17768name=showelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=13380name=finallyelapsed=0.033
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=17816name=showelapsed=0.019
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=42333name=lift_definitionelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=14509name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=13388name=showelapsed=0.039
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=18198name=obtainelapsed=0.019
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=42939name=lift_definitionelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=18198name=obtainelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=14674name=interpretelapsed=0.035
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=18260name=haveelapsed=0.019
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=18317name=obtainelapsed=0.020
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=14706name=showelapsed=0.034
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=18317name=obtainelapsed=0.019
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=43092name=lemmaelapsed=0.075
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=18424name=haveelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=14872name=interpretelapsed=0.035
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=18457name=letelapsed=0.019
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=45563name=lift_definitionelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=18493name=letelapsed=0.018
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=45715name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=14904name=haveelapsed=0.038
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=18529name=haveelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=18576name=haveelapsed=0.017
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=46112name=lift_definitionelapsed=0.020
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=15026name=haveelapsed=0.039
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=18623name=haveelapsed=0.019
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=18675name=haveelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=15190name=haveelapsed=0.038
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=18727name=haveelapsed=0.018
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=47066name=lift_definitionelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=18802name=haveelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=15312name=haveelapsed=0.036
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=47478name=lift_definitionelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=18824name=haveelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=18902name=haveelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=15408name=finallyelapsed=0.034
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=18997name=considerelapsed=0.024
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=15416name=showelapsed=0.034
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=19138name=showelapsed=0.018
ML_statistics = :now=1464099908.56tasks_ready=864tasks_pending=10tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=5size_allocation=3991928832size_allocation_free=1277911376size_heap=4170186752size_heap_free_last_full_GC=0size_heap_free_last_GC=3992655240threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=44.26time_GC=1.324user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=21010name=showelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=15867name=byelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=16523name=byelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=16031name=byelapsed=0.044
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=16689name=byelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=17222name=byelapsed=0.017
Found termination order: "(\<lambda>p. size (snd (snd p))) <*mlex*> {}"
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=23899name=haveelapsed=0.018
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=47906name=funelapsed=0.175
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=24178name=haveelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=23926name=finallyelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=24205name=finallyelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=23934name=showelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=24213name=showelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=18232name=byelapsed=0.022
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=24479name=haveelapsed=0.019
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=24887name=haveelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=24574name=haveelapsed=0.019
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=24982name=haveelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=24613name=finallyelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=25021name=finallyelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=24621name=showelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=25029name=showelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=25414name=haveelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=25692name=haveelapsed=0.015
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=25985name=haveelapsed=0.016
Found termination order: "(\<lambda>p. size (snd (snd p))) <*mlex*> {}"
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=25441name=finallyelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=25719name=finallyelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=26078name=haveelapsed=0.017
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=48143name=funelapsed=0.174
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=25449name=showelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=25727name=showelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=26117name=finallyelapsed=0.015
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=48354name=lift_definitionelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=26125name=showelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=26384name=haveelapsed=0.017
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=48475name=lift_definitionelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=26477name=haveelapsed=0.018
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=27043name=haveelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=27135name=finallyelapsed=0.012
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=26516name=finallyelapsed=0.016
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=48748name=lemmaelapsed=0.015
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=27143name=showelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=26524name=showelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=499name=byelapsed=0.012
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=27447name=byelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=1002name=byelapsed=0.016
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=51855name=lift_definitionelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=1159name=haveelapsed=0.039
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=51935name=lift_definitionelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=1226name=thuselapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=18876name=byelapsed=0.010
ML_statistics = :now=1464099909.06tasks_ready=901tasks_pending=10tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=5size_allocation=3991928832size_allocation_free=637434952size_heap=4170186752size_heap_free_last_full_GC=0size_heap_free_last_GC=3992655240threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=45.864time_GC=1.324user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=52728name=lemmaelapsed=0.033
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=53324name=lemmaelapsed=0.219
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=53753name=lemmaelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=778name=byelapsed=0.414
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=57203name=lemmaelapsed=0.014
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=60314name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=4014name=haveelapsed=0.040
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=65896name=lemmaelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=4161name=thuselapsed=0.038
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=67467name=lemmaelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=19520name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=19618name=finallyelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=19626name=showelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=4381name=haveelapsed=0.038
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=79521name=lift_definitionelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=4452name=obtainelapsed=0.039
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=79902name=lift_definitionelapsed=0.015
### theory "Float"
### 3.456s elapsed time, 12.672s cpu time, 0.376s GC time
Loading theory "Approximation"
loading_theory = Approximation
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=4452name=obtainelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=4542name=obtainelapsed=0.040
ML_statistics = :now=1464099909.75tasks_ready=968tasks_pending=8tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=6size_allocation=3973054464size_allocation_free=3085052144size_heap=4164943872size_heap_free_last_full_GC=0size_heap_free_last_GC=3973176872threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=49.028time_GC=1.532user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=4542name=obtainelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=4614name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=4657name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=4747name=henceelapsed=0.041
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=4852name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=5095name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=5331name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=5428name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=5508name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=5594name=finallyelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=13592name=byelapsed=2.124
Loading theory "Float_Real" (required by "Affine_Arithmetic" via "Affine_Code" via "Affine_Approximation")
loading_theory = Float_Real
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=5602name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=5718name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=5776name=finallyelapsed=0.035
ML_statistics = :now=1464099910.26tasks_ready=977tasks_pending=8tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=6size_allocation=3973054464size_allocation_free=2462279664size_heap=4164943872size_heap_free_last_full_GC=0size_heap_free_last_GC=3973176872threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=50.624time_GC=1.532user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=5784name=showelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Float_Real.thyoffset=50name=theoryelapsed=0.152
### Code generator: dropping subsumed code equation
### 0 \<equiv> Ratreal 0
### Code generator: dropping subsumed code equation
### 1 \<equiv> Ratreal 1
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=5810name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Float_Real.thyoffset=1458name=lemmaelapsed=0.041
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=5923name=haveelapsed=0.040
### theory "Float_Real"
### 0.262s elapsed time, 1.048s cpu time, 0.000s GC time
Loading theory "Executable_Euclidean_Space" (required by "Affine_Arithmetic" via "Affine_Code" via "Affine_Approximation")
loading_theory = Executable_Euclidean_Space
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=6054name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=6149name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=6194name=finallyelapsed=0.036
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=147name=theoryelapsed=0.737
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=6202name=showelapsed=0.038
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=492name=primrecelapsed=0.082
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=19815name=byelapsed=0.130
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=1228name=lemmaelapsed=0.050
ML_statistics = :now=1464099910.76tasks_ready=999tasks_pending=7tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=6size_allocation=3973054464size_allocation_free=1964255704size_heap=4164943872size_heap_free_last_full_GC=0size_heap_free_last_GC=3973176872threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=52.228time_GC=1.532user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=1730name=lemmaelapsed=0.107
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=3340name=lemmaelapsed=0.142
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Executable_Euclidean_Space.thyoffset=42name=theoryelapsed=0.584
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=4336name=lemmaelapsed=0.135
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=6057name=definitionelapsed=0.012
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=6145name=definitionelapsed=0.012
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=6744name=definitionelapsed=0.027
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=7679name=lemmaelapsed=0.010
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=7878name=definitionelapsed=0.024
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=9017name=definitionelapsed=0.012
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=9223name=lemmaelapsed=0.011
ML_statistics = :now=1464099911.26tasks_ready=1019tasks_pending=7tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=6size_allocation=3973054464size_allocation_free=1194405352size_heap=4164943872size_heap_free_last_full_GC=0size_heap_free_last_GC=3973176872threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=53.828time_GC=1.532user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Found termination order: "(\<lambda>p. size (fst (snd p))) <*mlex*> {}"
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=10310name=funelapsed=0.153
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=10616name=lemmaelapsed=0.010
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=10962name=functionelapsed=0.326
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=10962name=functionelapsed=0.028
ML_statistics = :now=1464099911.95tasks_ready=1064tasks_pending=7tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=7size_allocation=3939500032size_allocation_free=3939500032size_heap=4162846720size_heap_free_last_full_GC=0size_heap_free_last_GC=3940177496threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=55.804time_GC=1.728user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Found termination order:
  "case_sum (\<lambda>p. size (fst (snd p)))
    (\<lambda>p. size (fst (snd p))) <*mlex*>
   {}"
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=18365name=funelapsed=0.444
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=25163name=definitionelapsed=0.024
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=25623name=definitionelapsed=0.024
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=3759name=byelapsed=3.374
ML_statistics = :now=1464099912.46tasks_ready=1075tasks_pending=7tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=7size_allocation=3939500032size_allocation_free=1829493416size_heap=4162846720size_heap_free_last_full_GC=0size_heap_free_last_GC=3940177496threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=59.012time_GC=1.728user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=6478name=byelapsed=0.044
class executable_euclidean_space = ordered_euclidean_space +
  fixes Basis_list :: "'a list" 
    and eucl_down :: "int \<Rightarrow> 'a \<Rightarrow> 'a" 
    and eucl_truncate_down :: "nat \<Rightarrow> 'a \<Rightarrow> 'a" 
    and eucl_truncate_up :: "nat \<Rightarrow> 'a \<Rightarrow> 'a" 
  assumes
    "eucl_down_def":
      "\<And>p b.
          eucl_down p b =
          (\<Sum>i\<in>Basis. round_down p (b \<bullet> i) *\<^sub>R i)"
  assumes
    "eucl_truncate_down_def":
      "\<And>q b.
          eucl_truncate_down q b =
          (\<Sum>i\<in>Basis. truncate_down q (b \<bullet> i) *\<^sub>R i)"
  assumes
    "eucl_truncate_up_def":
      "\<And>q b.
          eucl_truncate_up q b =
          (\<Sum>i\<in>Basis. truncate_up q (b \<bullet> i) *\<^sub>R i)"
  assumes "Basis_list": "set Basis_list = Basis"
  assumes "distinct_Basis_list": "distinct Basis_list"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Executable_Euclidean_Space.thyoffset=236name=classelapsed=1.510
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Executable_Euclidean_Space.thyoffset=781name=lemmaelapsed=0.014
instantiation
  real :: executable_euclidean_space
  Basis_list_real == Basis_list :: real list
  eucl_down_real == eucl_down :: int \<Rightarrow> real \<Rightarrow> real
  eucl_truncate_down_real == eucl_truncate_down ::
    nat \<Rightarrow> real \<Rightarrow> real
  eucl_truncate_up_real == eucl_truncate_up ::
    nat \<Rightarrow> real \<Rightarrow> real
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=6566name=byelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Executable_Euclidean_Space.thyoffset=1217name=definitionelapsed=0.024
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=6642name=byelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Executable_Euclidean_Space.thyoffset=1292name=definitionelapsed=0.025
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=6719name=byelapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Executable_Euclidean_Space.thyoffset=1342name=definitionelapsed=0.025
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=29009name=functionelapsed=0.263
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Executable_Euclidean_Space.thyoffset=1404name=definitionelapsed=0.025
instantiation
  prod :: (executable_euclidean_space, executable_euclidean_space)
    executable_euclidean_space
  Basis_list_prod == Basis_list :: ('a \<times> 'b) list
  eucl_down_prod == eucl_down ::
    int \<Rightarrow> 'a \<times> 'b \<Rightarrow> 'a \<times> 'b
  eucl_truncate_down_prod == eucl_truncate_down ::
    nat \<Rightarrow> 'a \<times> 'b \<Rightarrow> 'a \<times> 'b
  eucl_truncate_up_prod == eucl_truncate_up ::
    nat \<Rightarrow> 'a \<times> 'b \<Rightarrow> 'a \<times> 'b
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Executable_Euclidean_Space.thyoffset=1709name=definitionelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Executable_Euclidean_Space.thyoffset=1915name=definitionelapsed=0.029
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=29009name=functionelapsed=0.065
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=30734name=terminationelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Executable_Euclidean_Space.thyoffset=1987name=definitionelapsed=0.029
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Executable_Euclidean_Space.thyoffset=2086name=definitionelapsed=0.030
### theory "Executable_Euclidean_Space"
### 2.409s elapsed time, 9.020s cpu time, 0.196s GC time
Loading theory "Affine_Approximation" (required by "Affine_Arithmetic" via "Affine_Code")
loading_theory = Affine_Approximation
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=6921name=byelapsed=0.353
ML_statistics = :now=1464099912.96tasks_ready=1128tasks_pending=6tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=7size_allocation=3939500032size_allocation_free=782551552size_heap=4162846720size_heap_free_last_full_GC=0size_heap_free_last_GC=3940177496threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=60.608time_GC=1.728user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=7303name=applyelapsed=0.145
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=7506name=applyelapsed=0.322
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=7645name=byelapsed=0.128
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=7775name=byelapsed=0.058
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=6337name=byelapsed=2.958
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=7900name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=8108name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=20712name=byelapsed=0.051
ML_statistics = :now=1464099913.69tasks_ready=1110tasks_pending=6tasks_running=5tasks_passive=1tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=8size_allocation=3905945600size_allocation_free=3905945600size_heap=4153409536size_heap_free_last_full_GC=0size_heap_free_last_GC=3907753712threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=61.876time_GC=1.992user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=8344name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=20457name=byelapsed=0.115
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=8567name=henceelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=8908name=byelapsed=0.025
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=8670name=thuselapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=9466name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=8714name=qedelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=9595name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=9724name=byelapsed=0.019
Found termination order:
  "case_sum (\<lambda>p. size (fst (snd p)))
    (\<lambda>p. size (fst (snd p))) <*mlex*>
   {}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=9915name=haveelapsed=0.036
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=43459name=funelapsed=1.135
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=10032name=thuselapsed=0.035
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=44014name=lemmaelapsed=0.024
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=10263name=haveelapsed=0.039
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=49133name=lemmaelapsed=0.029
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=10412name=thuselapsed=0.035
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=50232name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=21608name=byelapsed=0.177
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=21941name=byelapsed=0.015
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=54906name=definitionelapsed=0.023
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=55317name=definitionelapsed=0.022
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=22143name=fixelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=22188name=haveelapsed=0.035
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=61603name=definitionelapsed=0.045
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=22301name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=22358name=showelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=10783name=byelapsed=0.028
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=10609name=byelapsed=0.212
ML_statistics = :now=1464099914.19tasks_ready=1111tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=8size_allocation=3905945600size_allocation_free=2376837544size_heap=4153409536size_heap_free_last_full_GC=0size_heap_free_last_GC=3907753712threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=65.08time_GC=1.992user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=22565name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=22677name=showelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=22805name=byelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=10899name=byelapsed=0.093
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=11010name=byelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=23026name=henceelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=11232name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=23100name=henceelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=11341name=obtainelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=23249name=showelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=11341name=obtainelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=12157name=byelapsed=0.043
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=11432name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=23613name=haveelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=11533name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=23870name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=11619name=finallyelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=24037name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=11627name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=24169name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=11707name=henceelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=24309name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=11787name=henceelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=24509name=finallyelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=11906name=henceelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=24517name=showelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=11991name=ultimatelyelapsed=0.032
ML_statistics = :now=1464099914.69tasks_ready=1135tasks_pending=6tasks_running=4tasks_passive=1tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=8size_allocation=3905945600size_allocation_free=1910637520size_heap=4153409536size_heap_free_last_full_GC=0size_heap_free_last_GC=3907753712threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=66.68time_GC=1.992user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=12002name=showelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=24862name=byelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=24655name=byelapsed=0.075
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=12844name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=13081name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=13296name=byelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=13474name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=12731name=byelapsed=0.149
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=13594name=byelapsed=0.051
Found termination order:
  "case_sum (\<lambda>p. size (fst (snd p)))
    (\<lambda>p. size (fst (snd p))) <*mlex*>
   {}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=14031name=henceelapsed=0.035
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=72676name=funelapsed=0.809
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=14141name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=15753name=byelapsed=0.063
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=15864name=byelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=14270name=showelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=26371name=subgoalelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=14368name=henceelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=15993name=byelapsed=0.022
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=14479name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=16196name=thuselapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=14720name=haveelapsed=0.034
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=75965name=functionelapsed=0.141
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=26859name=thuselapsed=0.034
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=75965name=functionelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=14942name=obtainelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=27067name=thuselapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=14942name=obtainelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=27319name=byelapsed=0.024
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=85893name=lemmaelapsed=0.010
ML_statistics = :now=1464099915.19tasks_ready=1139tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=8size_allocation=3905945600size_allocation_free=1249285920size_heap=4153409536size_heap_free_last_full_GC=0size_heap_free_last_GC=3907753712threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=68.28time_GC=1.992user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=15016name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=27612name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=15150name=haveelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=27988name=thuselapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=15287name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=28205name=henceelapsed=0.043
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=15378name=henceelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=28573name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=15418name=henceelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=28677name=finallyelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=15512name=henceelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=28685name=showelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=15654name=showelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=28811name=haveelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=16863name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=29051name=haveelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=16937name=thuselapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=29145name=finallyelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=17038name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=29153name=showelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=29248name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=17126name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=18333name=henceelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=17263name=henceelapsed=0.035
Found termination order:
  "case_sum (\<lambda>p. size (fst (snd p)))
    (\<lambda>p. size (fst (snd p))) <*mlex*>
   {}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=18424name=obtainelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=17355name=haveelapsed=0.032
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=86810name=funelapsed=0.433
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=18424name=obtainelapsed=0.030
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=87299name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=17440name=haveelapsed=0.033
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=88576name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=18498name=haveelapsed=0.034
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=90908name=definitionelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=17497name=fixelapsed=0.032
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=91282name=definitionelapsed=0.017
ML_statistics = :now=1464099915.69tasks_ready=1178tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=8size_allocation=3905945600size_allocation_free=799471464size_heap=4153409536size_heap_free_last_full_GC=0size_heap_free_last_GC=3907753712threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=69.888time_GC=1.992user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=18570name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=17527name=henceelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=18641name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=17668name=henceelapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=18751name=finallyelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=17722name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=18759name=showelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=18873name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=17815name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=29760name=letelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Strict.thyoffset=18077name=showelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=29983name=henceelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=31448name=byelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=31607name=byelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=30097name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=31754name=byelapsed=0.010
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=94018name=functionelapsed=0.206
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=31898name=byelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=30205name=henceelapsed=0.036
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=94018name=functionelapsed=0.041
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=95570name=terminationelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=31980name=byelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=30297name=haveelapsed=0.040
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=96853name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=32121name=byelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=30444name=haveelapsed=0.038
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=98095name=lemmaelapsed=0.041
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=32444name=obtainelapsed=0.042
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=99778name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=30530name=haveelapsed=0.348
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=100981name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=32444name=obtainelapsed=0.351
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=30763name=finallyelapsed=0.033
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=111151name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=32606name=letelapsed=0.032
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=112082name=definitionelapsed=0.026
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=30771name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=32650name=fixelapsed=0.029
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=32660name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=30798name=henceelapsed=0.040
ML_statistics = :now=1464099916.5tasks_ready=1244tasks_pending=6tasks_running=4tasks_passive=1tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=9size_allocation=3854565376size_allocation_free=3854565376size_heap=4149215232size_heap_free_last_full_GC=0size_heap_free_last_GC=3855469312threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=72.488time_GC=2.292user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=32795name=haveelapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=31153name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=32901name=finallyelapsed=0.029
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=31285name=ultimatelyelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=32909name=haveelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=31296name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=43name=theoryelapsed=3.747
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=396name=definitionelapsed=0.016
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=33576name=showelapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=916name=lift_definitionelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=31333name=showelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=1855name=definitionelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=2406name=definitionelapsed=0.021
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=34149name=byelapsed=0.095
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=34329name=byelapsed=0.094
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=34545name=haveelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=4092name=definitionelapsed=0.021
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=4157name=definitionelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=35450name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=34902name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=35581name=henceelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=35061name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=35709name=showelapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=9878name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=35165name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=35822name=byelapsed=0.027
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=10703name=definitionelapsed=0.021
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=35253name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=36567name=fixelapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=35284name=finallyelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=36608name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=35292name=showelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=36717name=haveelapsed=0.034
ML_statistics = :now=1464099917tasks_ready=1497tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=9size_allocation=3854565376size_allocation_free=3160942744size_heap=4149215232size_heap_free_last_full_GC=0size_heap_free_last_GC=3855469312threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=2threads_wait_signal=1time_CPU=74.068time_GC=2.292user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=36841name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=37103name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=37779name=byelapsed=0.088
Found termination order: "(\<lambda>p. size_list size (snd p)) <*mlex*> {}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=10925name=funelapsed=0.199
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=38276name=byelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=11077name=primrecelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=37220name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=11220name=definitionelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=38582name=obtainelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=11362name=definitionelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=37375name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=11435name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=38660name=letelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=37496name=finallyelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=13882name=definitionelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=38752name=letelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=37504name=showelapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=14160name=lift_definitionelapsed=0.019
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=14160name=lift_definitionelapsed=0.025
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=38858name=letelapsed=0.040
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=14330name=definitionelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=38984name=showelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=14649name=lift_definitionelapsed=0.019
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=14649name=lift_definitionelapsed=0.026
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=42698name=byelapsed=0.024
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=42352name=byelapsed=0.111
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=15945name=definitionelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=44475name=henceelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=43326name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=16114name=definitionelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=44556name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=43700name=showelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=16807name=definitionelapsed=0.019
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=44641name=haveelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=44039name=showelapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=17466name=definitionelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=17718name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=44715name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=45367name=thuselapsed=0.027
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=18538name=definitionelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=44789name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=45419name=henceelapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=18820name=definitionelapsed=0.029
ML_statistics = :now=1464099917.5tasks_ready=1735tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=9size_allocation=3854565376size_allocation_free=2510331104size_heap=4149215232size_heap_free_last_full_GC=0size_heap_free_last_GC=3855469312threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=75.664time_GC=2.292user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=44880name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=45489name=obtainelapsed=0.033
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=19965name=lemmaelapsed=0.011
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=20303name=lemmaelapsed=0.016
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=45046name=haveelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=45626name=thuselapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=22145name=definitionelapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=45773name=thuselapsed=0.028
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=45104name=finallyelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=22385name=lemmaelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=45112name=showelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=45820name=thuselapsed=0.029
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=46266name=byelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=23739name=definitionelapsed=0.048
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=46149name=byelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=24246name=lemmaelapsed=0.016
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=27460name=definitionelapsed=0.020
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=46637name=haveelapsed=0.036
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=28206name=definitionelapsed=0.066
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=29049name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=29723name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=30397name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=804name=byelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=31132name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=37938name=definitionelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=38204name=definitionelapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=38464name=definitionelapsed=0.021
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=38700name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=39705name=lemmaelapsed=0.014
ML_statistics = :now=1464099918tasks_ready=1758tasks_pending=6tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=9size_allocation=3854565376size_allocation_free=1068787448size_heap=4149215232size_heap_free_last_full_GC=0size_heap_free_last_GC=3855469312threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=78.872time_GC=2.292user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=42075name=definitionelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=42175name=definitionelapsed=0.025
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=1289name=byelapsed=0.441
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=1421name=byelapsed=0.010
ML_statistics = :now=1464099919.17tasks_ready=1942tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=10size_allocation=3806330880size_allocation_free=3806330880size_heap=4075814912size_heap_free_last_full_GC=0size_heap_free_last_GC=3806430688threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=80.708time_GC=2.984user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=1518name=byelapsed=1.083
ML_statistics = :now=1464099919.67tasks_ready=1999tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=10size_allocation=3806330880size_allocation_free=2628475040size_heap=4075814912size_heap_free_last_full_GC=0size_heap_free_last_GC=3806430688threads_in_ML=4threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=82.308time_GC=2.984user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=1615name=byelapsed=0.447
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=1715name=byelapsed=0.073
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=47916name=byelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=1839name=byelapsed=0.042
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=47106name=byelapsed=2.335
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=48231name=byelapsed=0.137
ML_statistics = :now=1464099920.17tasks_ready=2083tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=10size_allocation=3806330880size_allocation_free=1650808048size_heap=4075814912size_heap_free_last_full_GC=0size_heap_free_last_GC=3806430688threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=83.912time_GC=2.984user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=48546name=byelapsed=0.074
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=2122name=byelapsed=0.025
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=2242name=applyelapsed=0.025
ML_statistics = :now=1464099921.01tasks_ready=2101tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=11size_allocation=3615490048size_allocation_free=3615490048size_heap=4128243712size_heap_free_last_full_GC=0size_heap_free_last_GC=3617388144threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=86.508time_GC=3.328user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=2036name=byelapsed=1.211
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=48851name=byelapsed=0.055
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=2564name=byelapsed=0.080
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=2807name=byelapsed=0.056
ML_statistics = :now=1464099921.52tasks_ready=2097tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=11size_allocation=3615490048size_allocation_free=2513176840size_heap=4128243712size_heap_free_last_full_GC=0size_heap_free_last_GC=3617388144threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=88.104time_GC=3.328user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=2956name=byelapsed=0.179
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=3102name=byelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=3471name=henceelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=3633name=henceelapsed=0.039
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=3703name=henceelapsed=0.039
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=3814name=ultimatelyelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=3827name=showelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=49301name=byelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=3960name=byelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=42410name=datatypeelapsed=3.922
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=49612name=byelapsed=0.129
ML_statistics = :now=1464099922.02tasks_ready=2158tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=11size_allocation=3615490048size_allocation_free=1430774888size_heap=4128243712size_heap_free_last_full_GC=0size_heap_free_last_GC=3617388144threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=89.704time_GC=3.328user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=49870name=byelapsed=0.025
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=4228name=henceelapsed=0.039
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=4327name=henceelapsed=0.039
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=4398name=henceelapsed=0.040
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=4529name=thuselapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=50040name=byelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=4669name=byelapsed=0.421
ML_statistics = :now=1464099922.68tasks_ready=2266tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=12size_allocation=3600809984size_allocation_free=3600809984size_heap=4160749568size_heap_free_last_full_GC=0size_heap_free_last_GC=3601972200threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=92.484time_GC=3.496user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=4843name=byelapsed=0.094
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=5115name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=5254name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=5386name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=5569name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=5649name=showelapsed=0.036
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=116292name=datatypeelapsed=6.502
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=50749name=byelapsed=0.024
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=5788name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=5949name=byelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=51007name=byelapsed=0.126
ML_statistics = :now=1464099923.18tasks_ready=2368tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=12size_allocation=3600809984size_allocation_free=2473231096size_heap=4160749568size_heap_free_last_full_GC=0size_heap_free_last_GC=3601972200threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=94.084time_GC=3.496user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=51337name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=51546name=finallyelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=51554name=showelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=6255name=obtainelapsed=0.041
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=6255name=obtainelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=6378name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=6432name=henceelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=6525name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=6620name=finallyelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=6642name=showelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=6755name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=6829name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=6911name=obtainelapsed=0.041
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=6911name=obtainelapsed=0.035
ML_statistics = :now=1464099923.69tasks_ready=2438tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=12size_allocation=3600809984size_allocation_free=1540576408size_heap=4160749568size_heap_free_last_full_GC=0size_heap_free_last_GC=3601972200threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=95.684time_GC=3.496user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=7044name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=7148name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=7248name=finallyelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=7268name=showelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=7595name=byelapsed=0.065
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=52036name=henceelapsed=0.035
Found termination order: "(\<lambda>p. size (fst p)) <*mlex*> {}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=52083name=thuselapsed=0.034
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=116684name=funelapsed=1.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=7785name=byelapsed=0.021
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=119019name=lemmaelapsed=0.362
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=119019name=lemmaelapsed=0.012
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=119244name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=7903name=byelapsed=0.419
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=8048name=byelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=42590name=datatypeelapsed=2.532
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=53037name=haveelapsed=0.034
ML_statistics = :now=1464099924.55tasks_ready=2453tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=13size_allocation=3600809984size_allocation_free=3600809984size_heap=4127195136size_heap_free_last_full_GC=0size_heap_free_last_GC=3602177448threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=98.244time_GC=3.848user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=53231name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=53406name=haveelapsed=0.036
Found termination order: "{}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=53675name=finallyelapsed=0.032
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=119661name=funelapsed=0.217
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=53686name=showelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=54002name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=54274name=obtainelapsed=0.039
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=54274name=obtainelapsed=0.034
Found termination order: "{}"
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=119905name=funelapsed=0.177
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=54471name=obtainelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=54471name=obtainelapsed=0.034
Found termination order: "(\<lambda>p. size (fst p)) <*mlex*> {}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=42699name=funelapsed=0.382
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=54570name=finallyelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=54578name=showelapsed=0.033
Found termination order: "{}"
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=120152name=funelapsed=0.124
Found termination order: "{}"
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=120438name=funelapsed=0.109
ML_statistics = :now=1464099925.05tasks_ready=2532tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=13size_allocation=3600809984size_allocation_free=2708094464size_heap=4127195136size_heap_free_last_full_GC=0size_heap_free_last_GC=3602177448threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=99.764time_GC=3.848user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=120617name=definitionelapsed=0.017
Found termination order: "(\<lambda>p. size (fst p)) <*mlex*> {}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=43193name=funelapsed=0.207
ML_statistics = :now=1464099925.55tasks_ready=2580tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=13size_allocation=3600809984size_allocation_free=1637141128size_heap=4127195136size_heap_free_last_full_GC=0size_heap_free_last_GC=3602177448threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=101.368time_GC=3.848user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=8347name=byelapsed=1.330
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=54822name=obtainelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=55179name=obtainelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=55179name=obtainelapsed=0.033
ML_statistics = :now=1464099926.38tasks_ready=2606tasks_pending=6tasks_running=4tasks_passive=1tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=14size_allocation=3500146688size_allocation_free=3500146688size_heap=4130340864size_heap_free_last_full_GC=0size_heap_free_last_GC=3500646432threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=103.976time_GC=4.188user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=55316name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=55394name=finallyelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=55402name=showelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=55683name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=55799name=haveelapsed=0.034
Found termination order: "(\<lambda>p. size (fst (snd p))) <*mlex*> {}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=56010name=obtainelapsed=0.043
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=56010name=obtainelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=43478name=funelapsed=1.544
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=56281name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=45202name=lemmaelapsed=0.019
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=56430name=henceelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=56477name=obtainelapsed=0.040
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=56477name=obtainelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=56644name=finallyelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=56652name=showelapsed=0.032
ML_statistics = :now=1464099926.88tasks_ready=2708tasks_pending=6tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=14size_allocation=3500146688size_allocation_free=2732623288size_heap=4130340864size_heap_free_last_full_GC=0size_heap_free_last_GC=3500646432threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=105.58time_GC=4.188user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Found termination order: "(\<lambda>p. size (fst (snd p))) <*mlex*> {}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=52257name=funelapsed=0.469
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=52782name=lemmaelapsed=0.019
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=55594name=definitionelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=55808name=lemmaelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=59198name=primrecelapsed=0.039
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=59580name=primrecelapsed=0.026
ML_statistics = :now=1464099927.38tasks_ready=2651tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=14size_allocation=3500146688size_allocation_free=983971072size_heap=4130340864size_heap_free_last_full_GC=0size_heap_free_last_GC=3500646432threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=108.784time_GC=4.188user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=61148name=lemmaelapsed=0.023
### ML warning (line 1594 of "~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thy"):
### Pattern is not exhaustive.
### ML warning (line 1622 of "~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thy"):
### Pattern is not exhaustive.
### ML warning (line 1646 of "~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thy"):
### Pattern is not exhaustive.
val dest_interpret_euclarith = fn: term -> term * term
val euclarithT = fn: typ -> typ -> typ
val aformT = fn: typ -> typ
val mk_optionT = fn: typ -> typ
val mk_None = fn: typ -> term
val mk_Some = fn: typ -> term -> term
val approx_euclarith_const = fn: typ -> typ -> term
val dest_approx_euclarith = fn: term -> term * term * term * term
val Joints_const = fn: typ -> term
val Joints2_const = fn: typ -> typ -> term
val length_const = fn: typ -> term
val floatify_conv = fn: Proof.context -> conv
val conss = fn: typ -> term list -> term -> term
val print_term = fn: Proof.context -> term -> unit
val approximate_affine = fn:
   binding * string -> Proof.context -> local_theory
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=61650name=MLelapsed=0.084
Found termination order: "length <*mlex*> {}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=68642name=funelapsed=0.157
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=69254name=definitionelapsed=0.020
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=69388name=lemmaelapsed=0.014
ML_statistics = :now=1464099928.06tasks_ready=2682tasks_pending=6tasks_running=4tasks_passive=1tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=15size_allocation=3440377856size_allocation_free=3440377856size_heap=4156555264size_heap_free_last_full_GC=0size_heap_free_last_GC=3441522984threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=110.284time_GC=4.392user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Found termination order: "(\<lambda>p. length (snd (snd p))) <*mlex*> {}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=69812name=funelapsed=0.405
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=70543name=definitionelapsed=0.019
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=70685name=lemmaelapsed=0.013
Found termination order: "(\<lambda>p. length (snd p)) <*mlex*> {}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=71090name=funelapsed=0.174
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=71661name=definitionelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=72257name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=73206name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Approximation.thyoffset=75899name=definitionelapsed=0.024
### theory "Affine_Approximation"
### 15.607s elapsed time, 54.108s cpu time, 2.664s GC time
Loading theory "Affine_Code" (required by "Affine_Arithmetic")
loading_theory = Affine_Code
ML_statistics = :now=1464099928.57tasks_ready=2705tasks_pending=5tasks_running=4tasks_passive=1tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=15size_allocation=3440377856size_allocation_free=2462769408size_heap=4156555264size_heap_free_last_full_GC=0size_heap_free_last_GC=3441522984threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=111.872time_GC=4.392user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Found termination order:
  "case_sum (\<lambda>p. size (fst (snd p)))
    (\<lambda>p. size (fst (snd p))) <*mlex*>
   case_sum (\<lambda>x. 0) (\<lambda>x. Suc 0) <*mlex*> {}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=26name=theoryelapsed=0.238
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=213name=typedefelapsed=0.036
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=121992name=funelapsed=3.683
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=123980name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=213name=typedefelapsed=0.057
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=125445name=lemmaelapsed=0.014
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=126028name=lemmaelapsed=0.026
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=128018name=lemmaelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=376name=setup_liftingelapsed=0.110
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=128723name=lemmaelapsed=0.050
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=413name=lift_definitionelapsed=0.028
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=130293name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=689name=definitionelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=130820name=lemmaelapsed=0.025
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=926name=lift_definitionelapsed=0.015
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=131509name=lemmaelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=926name=lift_definitionelapsed=0.028
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=132648name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=1086name=code_datatypeelapsed=0.039
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=134041name=lemmaelapsed=0.026
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=1128name=primrecelapsed=0.022
ML_statistics = :now=1464099929.07tasks_ready=2726tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=15size_allocation=3440377856size_allocation_free=1635164608size_heap=4156555264size_heap_free_last_full_GC=0size_heap_free_last_GC=3441522984threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=113.472time_GC=4.392user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=134746name=lemmaelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=1286name=lift_definitionelapsed=0.027
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=135523name=lemmaelapsed=0.010
ML_statistics = :now=1464099929.8tasks_ready=2922tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=16size_allocation=3428843520size_allocation_free=3428843520size_heap=4148166656size_heap_free_last_full_GC=0size_heap_free_last_GC=3429878408threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=116.116time_GC=4.66user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Found termination order:
  "(\<lambda>p. size_list size (snd (snd (snd p)))) <*mlex*>
   (\<lambda>p. size_list size (fst (snd (snd p)))) <*mlex*> {}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=2505name=funelapsed=1.004
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=3066name=lemmaelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=3669name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=4735name=lift_definitionelapsed=0.024
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=4735name=lift_definitionelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=4920name=lemmaelapsed=0.027
ML_statistics = :now=1464099930.3tasks_ready=3006tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=16size_allocation=3428843520size_allocation_free=2454994112size_heap=4148166656size_heap_free_last_full_GC=0size_heap_free_last_GC=3429878408threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=117.712time_GC=4.66user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=5760name=lift_definitionelapsed=0.027
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=5947name=lift_definitionelapsed=0.024
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=7493name=lift_definitionelapsed=0.024
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=7776name=lift_definitionelapsed=0.024
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=8043name=lift_definitionelapsed=0.027
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=9885name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=10203name=lift_definitionelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=10203name=lift_definitionelapsed=0.042
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=12227name=lift_definitionelapsed=0.019
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=12227name=lift_definitionelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=12607name=lemmaelapsed=0.042
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=13564name=lift_definitionelapsed=0.021
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=13564name=lift_definitionelapsed=0.034
ML_statistics = :now=1464099930.8tasks_ready=3046tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=16size_allocation=3428843520size_allocation_free=1459847040size_heap=4148166656size_heap_free_last_full_GC=0size_heap_free_last_GC=3429878408threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=119.312time_GC=4.66user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=14482name=lift_definitionelapsed=0.021
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=14653name=lift_definitionelapsed=0.023
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=15961name=primrecelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=17035name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=17273name=lift_definitionelapsed=0.020
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=17273name=lift_definitionelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=17875name=lift_definitionelapsed=0.324
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=19070name=lift_definitionelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Code.thyoffset=19070name=lift_definitionelapsed=0.025
### theory "Affine_Code"
### 2.998s elapsed time, 10.280s cpu time, 0.552s GC time
Loading theory "Ex_Affine_Approximation" (required by "Affine_Arithmetic")
loading_theory = Ex_Affine_Approximation
ML_statistics = :now=1464099931.57tasks_ready=3077tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=17size_allocation=3375366144size_allocation_free=3375366144size_heap=4142923776size_heap_free_last_full_GC=0size_heap_free_last_GC=3376718472threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=121.632time_GC=4.944user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Affine_Approximation.thyoffset=20name=theoryelapsed=0.217
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Affine_Approximation.thyoffset=80name=approximate_affineelapsed=0.111
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Affine_Approximation.thyoffset=222name=definitionelapsed=0.024
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=8693name=byelapsed=4.870
Loading theory "Ex_Ineqs" (required by "Affine_Arithmetic")
loading_theory = Ex_Ineqs
Found termination order: "{}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Affine_Approximation.thyoffset=356name=funelapsed=0.158
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Affine_Approximation.thyoffset=489name=approximate_affineelapsed=0.083
ML_statistics = :now=1464099932.07tasks_ready=3090tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=17size_allocation=3375366144size_allocation_free=2375732376size_heap=4142923776size_heap_free_last_full_GC=0size_heap_free_last_GC=3376718472threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=123.236time_GC=4.944user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Ineqs.thyoffset=43name=theoryelapsed=0.218
Found termination order: "{}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Ineqs.thyoffset=393name=primrecelapsed=0.045
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Affine_Approximation.thyoffset=577name=funelapsed=0.157
### theory "Ex_Affine_Approximation"
### 0.763s elapsed time, 3.048s cpu time, 0.000s GC time
Loading theory "Intersection" (required by "Affine_Arithmetic")
loading_theory = Intersection
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=142027name=datatypeelapsed=3.143
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Ineqs.thyoffset=821name=approximate_affineelapsed=0.230
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Ineqs.thyoffset=1065name=lemmaelapsed=0.010
ML_statistics = :now=1464099932.58tasks_ready=3127tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=17size_allocation=3375366144size_allocation_free=647256024size_heap=4142923776size_heap_free_last_full_GC=0size_heap_free_last_GC=3376718472threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=126.436time_GC=4.944user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Found termination order: "(\<lambda>p. size (fst p)) <*mlex*> {}"
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=142354name=funelapsed=0.477
ML_statistics = :now=1464099933.31tasks_ready=3127tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=18size_allocation=3318743040size_allocation_free=3318743040size_heap=4148166656size_heap_free_last_full_GC=0size_heap_free_last_GC=3320227248threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=127.804time_GC=5.188user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=24name=theoryelapsed=1.334
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=147name=subsectionelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=226name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=6283name=lift_definitionelapsed=0.025
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=6283name=lift_definitionelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=6396name=lift_definitionelapsed=0.025
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=6396name=lift_definitionelapsed=0.035
ML_statistics = :now=1464099933.82tasks_ready=3182tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=18size_allocation=3318743040size_allocation_free=2634678664size_heap=4148166656size_heap_free_last_full_GC=0size_heap_free_last_GC=3320227248threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=129.408time_GC=5.188user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=9150name=definitionelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=9375name=lemmaelapsed=0.018
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=11567name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=15108name=lemmaelapsed=0.012
ML_statistics = :now=1464099934.32tasks_ready=3228tasks_pending=2tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=18size_allocation=3318743040size_allocation_free=1675904992size_heap=4148166656size_heap_free_last_full_GC=0size_heap_free_last_GC=3320227248threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=131.008time_GC=5.188user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Ineqs.thyoffset=1195name=approximate_affineelapsed=2.132
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Ineqs.thyoffset=1483name=definitionelapsed=0.016
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Ineqs.thyoffset=1530name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Ineqs.thyoffset=1668name=definitionelapsed=0.017
ML_statistics = :now=1464099934.82tasks_ready=3229tasks_pending=2tasks_running=4tasks_passive=1tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=18size_allocation=3318743040size_allocation_free=146685120size_heap=4148166656size_heap_free_last_full_GC=0size_heap_free_last_GC=3320227248threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=134.208time_GC=5.188user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099935.58tasks_ready=3229tasks_pending=2tasks_running=4tasks_passive=1tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=19size_allocation=3277848576size_allocation_free=2533605464size_heap=4140826624size_heap_free_last_full_GC=0size_heap_free_last_GC=3279615784threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=136.136time_GC=5.46user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Found termination order: "length <*mlex*> {}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=18349name=funelapsed=1.669
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=24821name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=27033name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=30022name=definitionelapsed=0.025
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=35651name=definitionelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=42015name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=45111name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=45937name=lemmaelapsed=0.010
ML_statistics = :now=1464099936.08tasks_ready=3274tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=19size_allocation=3277848576size_allocation_free=1742143232size_heap=4140826624size_heap_free_last_full_GC=0size_heap_free_last_GC=3279615784threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=137.736time_GC=5.46user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=46244name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=46914name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=49424name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Ineqs.thyoffset=1718name=approximate_affineelapsed=1.522
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=49821name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Ineqs.thyoffset=1921name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Ineqs.thyoffset=2047name=definitionelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=51594name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=52556name=definitionelapsed=0.019
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=52943name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=56160name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=57179name=definitionelapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=57368name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=62077name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=71491name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=73275name=lemmaelapsed=0.011
ML_statistics = :now=1464099936.58tasks_ready=3330tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=19size_allocation=3277848576size_allocation_free=837997296size_heap=4140826624size_heap_free_last_full_GC=0size_heap_free_last_GC=3279615784threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=139.336time_GC=5.46user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Ineqs.thyoffset=2087name=approximate_affineelapsed=0.563
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Ineqs.thyoffset=2348name=lemmaelapsed=0.129
### theory "Ex_Ineqs"
### 4.929s elapsed time, 17.760s cpu time, 0.632s GC time
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=56843name=byelapsed=0.024
Found termination order: "{}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=73627name=funelapsed=0.372
ML_statistics = :now=1464099937.16tasks_ready=4198tasks_pending=2tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=20size_allocation=3217031168size_allocation_free=3217031168size_heap=4157603840size_heap_free_last_full_GC=0size_heap_free_last_GC=3218094168threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=140.976time_GC=5.576user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Found termination order: "{}"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=76769name=funelapsed=0.180
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=56986name=byelapsed=0.298
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=77494name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=79254name=primrecelapsed=0.045
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=79826name=lemmaelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=81764name=lemmaelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=83722name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=84863name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=85692name=definitionelapsed=0.074
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=86185name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=88129name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=98650name=definitionelapsed=0.047
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=99630name=lemmaelapsed=0.013
ML_statistics = :now=1464099937.66tasks_ready=3988tasks_pending=2tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=20size_allocation=3217031168size_allocation_free=1415682776size_heap=4157603840size_heap_free_last_full_GC=0size_heap_free_last_GC=3218094168threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=144.176time_GC=5.576user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=103026name=lemmaelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=104849name=lemmaelapsed=0.019
### theory "Intersection"
### 5.459s elapsed time, 19.880s cpu time, 0.632s GC time
Loading theory "Ex_Inter" (required by "Affine_Arithmetic")
loading_theory = Ex_Inter
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Inter.thyoffset=64name=theoryelapsed=0.224
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Inter.thyoffset=108name=definitionelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Inter.thyoffset=288name=definitionelapsed=0.031
ML_statistics = :now=1464099938.16tasks_ready=3659tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=20size_allocation=3217031168size_allocation_free=673904936size_heap=4157603840size_heap_free_last_full_GC=0size_heap_free_last_GC=3218094168threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=145.78time_GC=5.576user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=57215name=byelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=57596name=haveelapsed=0.039
ML_statistics = :now=1464099938.88tasks_ready=3397tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=21size_allocation=3238002688size_allocation_free=3238002688size_heap=4146069504size_heap_free_last_full_GC=0size_heap_free_last_GC=3238738688threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=147.276time_GC=5.82user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=57655name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=57892name=ultimatelyelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=57903name=showelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=58075name=byelapsed=0.021
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=58579name=byelapsed=0.085
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=58823name=byelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Inter.thyoffset=488name=definitionelapsed=1.080
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=59388name=byelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=10991name=henceelapsed=0.040
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=11248name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=11402name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=12334name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=15458name=ultimatelyelapsed=0.037
ML_statistics = :now=1464099939.38tasks_ready=3396tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=21size_allocation=3238002688size_allocation_free=2287581832size_heap=4146069504size_heap_free_last_full_GC=0size_heap_free_last_GC=3238738688threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=148.88time_GC=5.82user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=15469name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=15503name=ultimatelyelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=15514name=showelapsed=0.035
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=1865name=showelapsed=0.023
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=2038name=showelapsed=0.027
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=15753name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=15828name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=15937name=obtainelapsed=0.039
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=15937name=obtainelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=16019name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=16129name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=16215name=finallyelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=16223name=haveelapsed=0.040
ML_statistics = :now=1464099939.88tasks_ready=3405tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=21size_allocation=3238002688size_allocation_free=750610952size_heap=4146069504size_heap_free_last_full_GC=0size_heap_free_last_GC=3238738688threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=152.076time_GC=5.82user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=16303name=henceelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=16363name=haveelapsed=0.041
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=19631name=showelapsed=0.038
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ML_statistics = :now=1464099941.98tasks_ready=3435tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=22size_allocation=3159359488size_allocation_free=1192507976size_heap=4164943872size_heap_free_last_full_GC=0size_heap_free_last_GC=3160196384threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=159.048time_GC=5.92user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=22322name=haveelapsed=0.035
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=24233name=haveelapsed=0.035
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=25142name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=25209name=haveelapsed=0.040
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=25650name=byelapsed=0.013
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Euclidean_Space_Explicit.thyoffset=3782name=byelapsed=0.584
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=25918name=byelapsed=0.012
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=26053name=byelapsed=0.031
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=26178name=byelapsed=0.157
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Euclidean_Space_Explicit.thyoffset=4387name=byelapsed=0.019
Found termination order: "{}"
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=26728name=showelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=26795name=henceelapsed=0.037
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=26966name=showelapsed=0.037
Found termination order: "{}"
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command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=4511name=showelapsed=0.023
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=27750name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=27782name=showelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=28039name=haveelapsed=0.036
Found termination order: "{}"
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=28479name=haveelapsed=0.038
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### Ignoring duplicate rewrite rule:
### sup ?x1 (sup ?x1 ?y1) \<equiv> sup ?x1 ?y1
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### Ignoring duplicate rewrite rule:
### of_nat (?m1 * ?n1) \<equiv> of_nat ?m1 * of_nat ?n1
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### Metis: Unused theorems: "??.unknown"
### Metis: Unused theorems: "??.unknown"
### Metis: Unused theorems: "??.unknown"
### Metis: Unused theorems: "??.unknown"
### Metis: Unused theorems: "??.unknown"
### Metis: Unused theorems: "??.unknown"
### Metis: Unused theorems: "??.unknown"
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Found termination order:
  "case_sum (\<lambda>p. size (fst (snd p)))
    (\<lambda>p. size (fst (snd p))) <*mlex*>
   case_sum (\<lambda>x. Suc 0) (\<lambda>x. 0) <*mlex*>
   case_sum (\<lambda>p. size (fst (snd (snd p))))
    (\<lambda>p. size_list size (snd (snd (snd p)))) <*mlex*>
   {}"
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=3609name=byelapsed=0.108
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Found termination order: "(\<lambda>p. size (fst (snd p))) <*mlex*> {}"
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=149536name=funelapsed=1.784
ML_statistics = :now=1464099958.02tasks_ready=3510tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=31size_allocation=3004170240size_allocation_free=3004170240size_heap=4119855104size_heap_free_last_full_GC=0size_heap_free_last_GC=3004515840threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=217.952time_GC=7.116user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099958.69tasks_ready=3655tasks_pending=2tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=32size_allocation=2883584000size_allocation_free=2883584000size_heap=4152360960size_heap_free_last_full_GC=0size_heap_free_last_GC=2884736992threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=220.648time_GC=7.308user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Found termination order: "(\<lambda>p. size (snd p)) <*mlex*> {}"
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=150658name=funelapsed=1.224
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=152250name=lemmaelapsed=0.012
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=153112name=lemmaelapsed=0.010
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=154217name=declareelapsed=0.010
ML_statistics = :now=1464099959.19tasks_ready=3554tasks_pending=2tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=32size_allocation=2883584000size_allocation_free=1241144272size_heap=4152360960size_heap_free_last_full_GC=0size_heap_free_last_GC=2884736992threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=222.24time_GC=7.308user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099959.73tasks_ready=3596tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=33size_allocation=2895118336size_allocation_free=1045353936size_heap=4169138176size_heap_free_last_full_GC=0size_heap_free_last_GC=2896344448threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=224.98time_GC=7.352user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099960.28tasks_ready=3742tasks_pending=2tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=34size_allocation=2916089856size_allocation_free=2916089856size_heap=4176478208size_heap_free_last_full_GC=0size_heap_free_last_GC=2917609008threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=225.984time_GC=7.452user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099960.81tasks_ready=3596tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=35size_allocation=2885681152size_allocation_free=2885681152size_heap=4184866816size_heap_free_last_full_GC=0size_heap_free_last_GC=2886432576threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=228.668time_GC=7.504user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099961.31tasks_ready=3596tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=35size_allocation=2885681152size_allocation_free=1211207792size_heap=4184866816size_heap_free_last_full_GC=0size_heap_free_last_GC=2886432576threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=230.256time_GC=7.504user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Found termination order:
  "(\<lambda>p. size (fst (snd (snd p)))) <*mlex*> {}"
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=154249name=funelapsed=3.352
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=158550name=lemmaelapsed=0.020
ML_statistics = :now=1464099962.59tasks_ready=3601tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=36size_allocation=2887778304size_allocation_free=2887778304size_heap=4063232000size_heap_free_last_full_GC=0size_heap_free_last_GC=2889316200threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=231.388time_GC=8.272user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Found termination order:
  "(\<lambda>p. size (fst (snd (snd p)))) <*mlex*> {}"
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=159547name=funelapsed=1.564
ML_statistics = :now=1464099964.22tasks_ready=3615tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=37size_allocation=2634022912size_allocation_free=2634022912size_heap=3986685952size_heap_free_last_full_GC=0size_heap_free_last_GC=2634466264threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=233.732time_GC=9.392user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=160762name=lemmaelapsed=0.111
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=166140name=lemmaelapsed=0.017
ML_statistics = :now=1464099965.84tasks_ready=3632tasks_pending=2tasks_running=4tasks_passive=1tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=38size_allocation=2351955968size_allocation_free=2351955968size_heap=3996123136size_heap_free_last_full_GC=0size_heap_free_last_GC=2353126416threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=235.952time_GC=10.528user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Found termination order:
  "(\<lambda>p. size (fst (snd (snd (snd p))))) <*mlex*> {}"
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=168768name=funelapsed=1.629
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=169143name=lemmaelapsed=0.021
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=170802name=lemmaelapsed=0.010
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=171655name=lemmaelapsed=0.010
ML_statistics = :now=1464099967.82tasks_ready=3647tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=39size_allocation=2163212288size_allocation_free=2163212288size_heap=3934257152size_heap_free_last_full_GC=0size_heap_free_last_GC=2164238792threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=238.032time_GC=11.996user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099969.16tasks_ready=3656tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=40size_allocation=1842348032size_allocation_free=1842348032size_heap=4041211904size_heap_free_last_full_GC=0size_heap_free_last_GC=1842530840threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=239.776time_GC=12.844user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=9534name=byelapsed=11.838
Found termination order:
  "(\<lambda>p. size (fst (snd (snd p)))) <*mlex*> {}"
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=172466name=funelapsed=4.779
ML_statistics = :now=1464099970.78tasks_ready=3655tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=41size_allocation=1797259264size_allocation_free=1797259264size_heap=3998220288size_heap_free_last_full_GC=0size_heap_free_last_GC=1798584368threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=241.608time_GC=13.968user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=173289name=definitionelapsed=0.029
ML_statistics = :now=1464099972.59tasks_ready=3700tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=42size_allocation=1557135360size_allocation_free=1557135360size_heap=3963617280size_heap_free_last_full_GC=0size_heap_free_last_GC=1558910608threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=243.124time_GC=15.272user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099974.09tasks_ready=3707tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=44size_allocation=1265631232size_allocation_free=1265631232size_heap=4102029312size_heap_free_last_full_GC=0size_heap_free_last_GC=1267235960threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=245.604time_GC=16.34user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099975.53tasks_ready=3707tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=45size_allocation=1210056704size_allocation_free=1210056704size_heap=4023386112size_heap_free_last_full_GC=0size_heap_free_last_GC=1211413024threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=246.82time_GC=17.304user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099977.01tasks_ready=3707tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=47size_allocation=874512384size_allocation_free=874512384size_heap=4124049408size_heap_free_last_full_GC=0size_heap_free_last_GC=875741048threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=248.732time_GC=18.3user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099979.2tasks_ready=4341tasks_pending=2tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=50size_allocation=633339904size_allocation_free=633339904size_heap=4074766336size_heap_free_last_full_GC=0size_heap_free_last_GC=633652560threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=250.964time_GC=20.044user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099979.96tasks_ready=4143tasks_pending=2tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=53size_allocation=553648128size_allocation_free=553648128size_heap=4192206848size_heap_free_last_full_GC=0size_heap_free_last_GC=554497264threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=252.588time_GC=20.372user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099980.49tasks_ready=3927tasks_pending=2tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=56size_allocation=547356672size_allocation_free=547356672size_heap=4191158272size_heap_free_last_full_GC=0size_heap_free_last_GC=548342776threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=254.336time_GC=20.464user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099981.08tasks_ready=3707tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=59size_allocation=542113792size_allocation_free=542113792size_heap=4191158272size_heap_free_last_full_GC=0size_heap_free_last_GC=542431800threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=256.06time_GC=20.56user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099981.68tasks_ready=3707tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=62size_allocation=516947968size_allocation_free=516947968size_heap=4186963968size_heap_free_last_full_GC=0size_heap_free_last_GC=518081728threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=257.648time_GC=20.712user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099982.27tasks_ready=3707tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=66size_allocation=505413632size_allocation_free=505413632size_heap=4191158272size_heap_free_last_full_GC=0size_heap_free_last_GC=506879592threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=259.772time_GC=20.852user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099982.84tasks_ready=3707tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=69size_allocation=497025024size_allocation_free=497025024size_heap=4191158272size_heap_free_last_full_GC=0size_heap_free_last_GC=497908792threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=261.44time_GC=20.96user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=9608name=byelapsed=13.961
ML_statistics = :now=1464099983.37tasks_ready=3706tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=72size_allocation=489684992size_allocation_free=489684992size_heap=4189061120size_heap_free_last_full_GC=0size_heap_free_last_GC=490642088threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=263.296time_GC=21.068user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099983.92tasks_ready=3706tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=75size_allocation=480247808size_allocation_free=480247808size_heap=4191158272size_heap_free_last_full_GC=0size_heap_free_last_GC=480667720threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=264.876time_GC=21.168user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Found termination order: "(\<lambda>p. size (fst (snd p))) <*mlex*> {}"
ML_statistics = :now=1464099985.08tasks_ready=3706tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=79size_allocation=315621376size_allocation_free=315621376size_heap=4154458112size_heap_free_last_full_GC=0size_heap_free_last_GC=317031368threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=266.5time_GC=21.908user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=175556name=funelapsed=14.491
ML_statistics = :now=1464099985.72tasks_ready=3706tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=84size_allocation=342884352size_allocation_free=342884352size_heap=4192206848size_heap_free_last_full_GC=0size_heap_free_last_GC=343749680threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=268.336time_GC=22.076user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099986.29tasks_ready=3706tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=89size_allocation=333447168size_allocation_free=333447168size_heap=4192206848size_heap_free_last_full_GC=0size_heap_free_last_GC=333736472threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=270.076time_GC=22.2user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099987.09tasks_ready=3706tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=94size_allocation=261095424size_allocation_free=261095424size_heap=4173332480size_heap_free_last_full_GC=0size_heap_free_last_GC=262072480threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=271.676time_GC=22.588user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099987.78tasks_ready=3706tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=99size_allocation=212860928size_allocation_free=212860928size_heap=4189061120size_heap_free_last_full_GC=0size_heap_free_last_GC=214437480threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=272.816time_GC=22.976user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099988.33tasks_ready=3706tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=105size_allocation=202375168size_allocation_free=202375168size_heap=4192206848size_heap_free_last_full_GC=0size_heap_free_last_GC=203572072threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=274.34time_GC=23.152user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099988.86tasks_ready=3706tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=111size_allocation=195035136size_allocation_free=195035136size_heap=4193255424size_heap_free_last_full_GC=0size_heap_free_last_GC=196543784threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=275.916time_GC=23.292user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
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ML_statistics = :now=1464099992.53tasks_ready=3706tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=158size_allocation=95420416size_allocation_free=95420416size_heap=4188012544size_heap_free_last_full_GC=0size_heap_free_last_GC=97029992threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=284.396time_GC=24.708user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099993.14tasks_ready=3706tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=168size_allocation=71303168size_allocation_free=71303168size_heap=4192206848size_heap_free_last_full_GC=0size_heap_free_last_GC=72530752threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=285.2time_GC=25.04user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=9682name=byelapsed=10.057
### Metis: Unused theorems: "local.ccw_axioms_3", "local.ccw_axioms_4", "local.prems_3", "local.prems_4", "local.prems_5", "local.prems_6", "local.prems_7", "local.prems_8"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise.thyoffset=9806name=byelapsed=0.125
ML_statistics = :now=1464099993.68tasks_ready=3704tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=178size_allocation=65011712size_allocation_free=65011712size_heap=4193255424size_heap_free_last_full_GC=0size_heap_free_last_GC=65521544threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=286.02time_GC=25.276user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099994.26tasks_ready=3704tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=191size_allocation=57671680size_allocation_free=57671680size_heap=4191158272size_heap_free_last_full_GC=0size_heap_free_last_GC=58124464threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=286.78time_GC=25.596user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
val ri1 = fn:
   unit ->
     (Isabelle3646252.Generated_Code.real *
      (Isabelle3646252.Generated_Code.real *
       (Isabelle3646252.Generated_Code.real *
        (Isabelle3646252.Generated_Code.real *
         (Isabelle3646252.Generated_Code.real *
          (Isabelle3646252.Generated_Code.real *
           (Isabelle3646252.Generated_Code.real *
            (Isabelle3646252.Generated_Code.real *
             (Isabelle3646252.Generated_Code.real *
              Isabelle3646252.Generated_Code.real)))))))))
     *
     (Isabelle3646252.Generated_Code.real *
      (Isabelle3646252.Generated_Code.real *
       (Isabelle3646252.Generated_Code.real *
        (Isabelle3646252.Generated_Code.real *
         (Isabelle3646252.Generated_Code.real *
          (Isabelle3646252.Generated_Code.real *
           (Isabelle3646252.Generated_Code.real *
            (Isabelle3646252.Generated_Code.real *
             (Isabelle3646252.Generated_Code.real *
              Isabelle3646252.Generated_Code.real))))))))
     )
     Isabelle3646252.Generated_Code.pdevs
val ri2 = fn:
   unit ->
     (Isabelle3646252.Generated_Code.real *
      (Isabelle3646252.Generated_Code.real *
       (Isabelle3646252.Generated_Code.real *
        (Isabelle3646252.Generated_Code.real *
         (Isabelle3646252.Generated_Code.real *
          (Isabelle3646252.Generated_Code.real *
           (Isabelle3646252.Generated_Code.real *
            (Isabelle3646252.Generated_Code.real *
             (Isabelle3646252.Generated_Code.real *
              Isabelle3646252.Generated_Code.real)))))))))
     *
     (Isabelle3646252.Generated_Code.real *
      (Isabelle3646252.Generated_Code.real *
       (Isabelle3646252.Generated_Code.real *
        (Isabelle3646252.Generated_Code.real *
         (Isabelle3646252.Generated_Code.real *
          (Isabelle3646252.Generated_Code.real *
           (Isabelle3646252.Generated_Code.real *
            (Isabelle3646252.Generated_Code.real *
             (Isabelle3646252.Generated_Code.real *
              Isabelle3646252.Generated_Code.real))))))))
     )
     Isabelle3646252.Generated_Code.pdevs
val ri3 = fn:
   unit ->
     (Isabelle3646252.Generated_Code.real *
      (Isabelle3646252.Generated_Code.real *
       (Isabelle3646252.Generated_Code.real *
        (Isabelle3646252.Generated_Code.real *
         (Isabelle3646252.Generated_Code.real *
          (Isabelle3646252.Generated_Code.real *
           (Isabelle3646252.Generated_Code.real *
            (Isabelle3646252.Generated_Code.real *
             (Isabelle3646252.Generated_Code.real * ...)))))))))
     *
     (Isabelle3646252.Generated_Code.real *
      (Isabelle3646252.Generated_Code.real *
       (Isabelle3646252.Generated_Code.real *
        (Isabelle3646252.Generated_Code.real *
         (Isabelle3646252.Generated_Code.real *
          (Isabelle3646252.Generated_Code.real *
           (Isabelle3646252.Generated_Code.real *
            (Isabelle3646252.Generated_Code.real *
             (Isabelle3646252.Generated_Code.real * ...))))))))
     )
     Isabelle3646252.Generated_Code.pdevs
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Inter.thyoffset=12250name=MLelapsed=48.871
val iter = fn: (unit -> 'a) -> int -> 'a
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=176640name=oracleelapsed=9.309
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=182036name=lemmaelapsed=0.026
ML_statistics = :now=1464099994.85tasks_ready=3706tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=204size_allocation=37748736size_allocation_free=37748736size_heap=4192206848size_heap_free_last_full_GC=0size_heap_free_last_GC=39313808threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=287.408time_GC=25.952user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
### ML warning (line 60 of "~~/src/HOL/Decision_Procs/approximation.ML"):
### Matches are not exhaustive.
### ML warning (line 121 of "~~/src/HOL/Decision_Procs/approximation.ML"):
### Matches are not exhaustive.
### ML warning (line 142 of "~~/src/HOL/Decision_Procs/approximation.ML"):
### Value identifier (c) has not been referenced.
### ML warning (line 141 of "~~/src/HOL/Decision_Procs/approximation.ML"):
### Value identifier (p) has not been referenced.
### ML warning (line 141 of "~~/src/HOL/Decision_Procs/approximation.ML"):
### Value identifier (c) has not been referenced.
signature APPROXIMATION =
  sig
    val approx: int -> Proof.context -> term -> term
    val approximate: Proof.context -> term -> term
    val approximation_tac:
       int ->
         (string * int) list -> int option -> Proof.context -> int -> tactic
  end
structure Approximation: APPROXIMATION
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=182162name=ML_fileelapsed=0.381
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=182190name=method_setupelapsed=0.072
ML_statistics = :now=1464099995.51tasks_ready=3706tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=221size_allocation=32505856size_allocation_free=32505856size_heap=4193255424size_heap_free_last_full_GC=0size_heap_free_last_GC=34423056threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=288.252time_GC=26.328user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099996.17tasks_ready=3706tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=240size_allocation=25165824size_allocation_free=25165824size_heap=4193255424size_heap_free_last_full_GC=0size_heap_free_last_GC=26702352threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=289.012time_GC=26.756user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099996.82tasks_ready=3706tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=259size_allocation=16777216size_allocation_free=16777216size_heap=4193255424size_heap_free_last_full_GC=0size_heap_free_last_GC=18413328threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=289.584time_GC=27.196user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099997.37tasks_ready=3706tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=278size_allocation=13631488size_allocation_free=13631488size_heap=4193255424size_heap_free_last_full_GC=0size_heap_free_last_GC=14761704threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=290.028time_GC=27.588user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464099997.95tasks_ready=3706tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=300size_allocation=6291456size_allocation_free=6291456size_heap=4193255424size_heap_free_last_full_GC=0size_heap_free_last_GC=7529680threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=290.312time_GC=28.072user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100003.45tasks_ready=3706tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=314size_allocation=390070272size_allocation_free=390070272size_heap=1606418432size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1564920threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=290.448time_GC=33.304user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
### ML warning (line 198 of "~~/src/HOL/Decision_Procs/approximation_generator.ML"):
### Matches are not exhaustive.
signature APPROXIMATION_GENERATOR =
  sig
    val approximation_generator:
       Proof.context ->
         (term * term list) list ->
           bool ->
             int list ->
               (bool * term list) option * Quickcheck.report option
    val custom_seed: int Config.T
    val epsilon: real Config.T
    val precision: int Config.T
    val setup: theory -> theory
  end
structure Approximation_Generator: APPROXIMATION_GENERATOR
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=182917name=ML_fileelapsed=8.568
### theory "Approximation"
### 93.934s elapsed time, 274.424s cpu time, 31.772s GC time
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=15550name=haveelapsed=0.026
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=15679name=haveelapsed=0.022
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=15772name=haveelapsed=0.022
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=16076name=haveelapsed=0.023
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=16380name=haveelapsed=0.024
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=16679name=ultimatelyelapsed=0.019
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=16690name=showelapsed=0.021
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=6050name=byelapsed=0.014
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=16986name=haveelapsed=0.022
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=17032name=haveelapsed=0.021
ML_statistics = :now=1464100003.96tasks_ready=3712tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=314size_allocation=1323302912size_allocation_free=527071728size_heap=2539651072size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1564920threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=291.78time_GC=33.304user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=17185name=haveelapsed=0.028
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=17321name=haveelapsed=0.030
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=17472name=showelapsed=0.021
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=6221name=byelapsed=0.029
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=6321name=byelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=6488name=byelapsed=0.111
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=6532name=byelapsed=0.029
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=7023name=byelapsed=0.022
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=7341name=byelapsed=0.025
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=8573name=byelapsed=0.015
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Affine_Form.thyoffset=8699name=byelapsed=0.019
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=2302name=haveelapsed=0.018
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=2652name=fixelapsed=0.024
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=2677name=considerelapsed=0.026
ML_statistics = :now=1464100004.48tasks_ready=3677tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=315size_allocation=1619001344size_allocation_free=1619001344size_heap=2838495232size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1619920608threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=293.464time_GC=33.336user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=2743name=showelapsed=0.038
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### Metis: Unused theorems: "local.ccw_axioms_1", "local.ccw_axioms_2", "local.prems_6", "local.prems_7", "local.prems_8"
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### Ignoring duplicate safe introduction (intro!)
### ?xs <~~> ?ys \<Longrightarrow> ?z # ?xs <~~> ?z # ?ys
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### Ignoring duplicate rewrite rule:
### set Basis_list \<equiv> Basis
### Ignoring duplicate rewrite rule:
### distinct Basis_list \<equiv> True
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Inter.thyoffset=12503name=MLelapsed=9.100
### theory "Ex_Inter"
### 92.790s elapsed time, 279.900s cpu time, 28.244s GC time
Loading theory "Affine_Arithmetic"
loading_theory = Affine_Arithmetic
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### theory "Affine_Arithmetic"
### 0.850s elapsed time, 3.396s cpu time, 0.000s GC time
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### Ignoring duplicate rewrite rule:
### coll 0 ?y1 (?r1 *\<^sub>R ?x1) \<equiv> ?r1 = 0 \<or> coll 0 ?y1 ?x1
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### Rewrite rule not in simpset:
### \<lfloor>?x1 + ?y1\<rfloor> \<equiv>
### if frac ?x1 + frac ?y1 < (1::?'a1)
### then \<lfloor>?x1\<rfloor> + \<lfloor>?y1\<rfloor>
### else \<lfloor>?x1\<rfloor> + \<lfloor>?y1\<rfloor> + 1
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### Ignoring duplicate rewrite rule:
### pdevs_apply (trunc_pdevs ?p1 ?X1) ?n1 \<equiv>
### eucl_truncate_down ?p1 (pdevs_apply ?X1 ?n1)
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### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
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### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
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### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
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### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
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### Ignoring duplicate safe introduction (intro!)
### \<lbrakk>closed ?s; continuous_on UNIV ?f\<rbrakk>
### \<Longrightarrow> closed (?f -` ?s)
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### Rule already declared as introduction (intro)
### ((\<lambda>x. x) \<longlongrightarrow> ?a) (at ?a within ?s)
### Rule already declared as introduction (intro)
### ((\<lambda>x. ?k) \<longlongrightarrow> ?k) ?F
### Rule already declared as introduction (intro)
### (?f \<longlongrightarrow> ?x) ?F \<Longrightarrow>
### ((\<lambda>x. ereal (?f x)) \<longlongrightarrow> ereal ?x) ?F
### Rule already declared as introduction (intro)
### (?f \<longlongrightarrow> ?x) ?F \<Longrightarrow>
### ((\<lambda>x. - ?f x) \<longlongrightarrow> - ?x) ?F
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### Rule already declared as introduction (intro)
### \<lbrakk>\<bar>?c\<bar> \<noteq> \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?c * ?f x) \<longlongrightarrow> ?c * ?x) ?F
### Rule already declared as introduction (intro)
### \<lbrakk>?x \<noteq> 0; (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?c * ?f x) \<longlongrightarrow> ?c * ?x) ?F
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### Rule already declared as introduction (intro)
### \<lbrakk>?y \<noteq> - \<infinity>; ?x \<noteq> - \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?f x + ?y) \<longlongrightarrow> ?x + ?y) ?F
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### Rule already declared as introduction (intro)
### \<lbrakk>\<bar>?y\<bar> \<noteq> \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?f x + ?y) \<longlongrightarrow> ?x + ?y) ?F
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command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=95948name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=108964name=obtainelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=94730name=ultimatelyelapsed=0.030
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=108964name=obtainelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=96098name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=94749name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=96189name=ultimatelyelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=109085name=obtainelapsed=0.036
ML_statistics = :now=1464100100.43tasks_ready=3042tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=356size_allocation=3263168512size_allocation_free=1187967240size_heap=4910481408size_heap_free_last_full_GC=1564920size_heap_free_last_GC=3264015624threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=662.652time_GC=36.612user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=94844name=showelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=109085name=obtainelapsed=0.032
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=96208name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=94890name=nextelapsed=0.031
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=109159name=thuselapsed=0.029
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=96304name=showelapsed=0.036
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=96947name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=94921name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=96350name=nextelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=97051name=byelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=95055name=henceelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=96381name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=97218name=byelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=97478name=byelapsed=0.017
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=95162name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=96514name=henceelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=95256name=ultimatelyelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=96621name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=97643name=byelapsed=0.078
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=95275name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=96715name=ultimatelyelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=95372name=showelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=96734name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=96830name=showelapsed=0.035
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=98130name=byelapsed=0.110
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=98493name=byelapsed=0.022
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=98581name=byelapsed=0.013
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=11774name=byelapsed=0.024
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=98360name=byelapsed=0.121
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=12055name=byelapsed=0.042
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=11865name=byelapsed=0.082
ML_statistics = :now=1464100100.94tasks_ready=3036tasks_pending=0tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=356size_allocation=3263168512size_allocation_free=862409600size_heap=4910481408size_heap_free_last_full_GC=1564920size_heap_free_last_GC=3264015624threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=664.252time_GC=36.612user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=12223name=byelapsed=0.067
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=12509name=byelapsed=0.072
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=12643name=byelapsed=0.083
ML_statistics = :now=1464100101.53tasks_ready=3033tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=357size_allocation=3256877056size_allocation_free=3256877056size_heap=4903141376size_heap_free_last_full_GC=1564920size_heap_free_last_GC=3257908208threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=666.152time_GC=36.7user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=88861name=byelapsed=3.577
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=13315name=byelapsed=0.026
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=13620name=byelapsed=0.128
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=12279name=byelapsed=1.128
ML_statistics = :now=1464100102.04tasks_ready=3038tasks_pending=0tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=357size_allocation=3256877056size_allocation_free=1424056128size_heap=4903141376size_heap_free_last_full_GC=1564920size_heap_free_last_GC=3257908208threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=669.332time_GC=36.7user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=13949name=byelapsed=0.031
Assumptions:
(if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p) +
(if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p) =
1
(if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p) +
(if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p) =
1
1 - (if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p)
< (if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p)
  [1 -
   (if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p)
   < (if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p)]

Proved:
(if coll p r q then 0 else det3 q s p) / (det3 p r q + det3 q s p)
< (if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p)
  [1 -
   (if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p)
   < (if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p)]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
Assumptions:
(if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p) +
(if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p) =
1
(if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p) +
(if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p) =
1
(if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p)
< 1 - (if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p)
  [(if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p)
   < 1 -
     (if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p)]

Proved:
(if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p)
< (if coll p r q then 0 else det3 q s p) / (det3 p r q + det3 q s p)
  [(if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p)
   < 1 -
     (if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p)]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
Assumptions:
(if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p) +
(if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p) =
1
  [(if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p) +
   (if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p) =
   1]
(if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p) +
(if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p) =
1
  [(if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p) +
   (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p) =
   1]
1 - (if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p)
< (if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p)
  [1 -
   (if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p)
   < (if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p)]

Proved:
(if coll p r q then 0 else det3 q s p) / (det3 p r q + det3 q s p)
< (if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p)
  [1 -
   (if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p)
   < (if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p),
    (if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p) +
    (if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p) =
    1]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=12781name=byelapsed=1.190
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=14521name=byelapsed=0.030
Assumptions:
(if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p) +
(if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p) =
1
(if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p) +
(if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p) =
1
1 - (if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)
< (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)
  [1 -
   (if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)
   < (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)]

Proved:
(if coll p r q then 0 else det3 s p r) / (det3 p r q + det3 q s p)
< (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)
  [1 -
   (if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)
   < (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
Assumptions:
(if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p) +
(if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p) =
1
(if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p) +
(if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p) =
1
(if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)
< 1 - (if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)
  [(if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)
   < 1 -
     (if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)]

Proved:
(if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)
< (if coll p r q then 0 else det3 s p r) / (det3 p r q + det3 q s p)
  [(if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)
   < 1 -
     (if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=14282name=byelapsed=0.384
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=15141name=byelapsed=0.019
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=15191name=byelapsed=0.011
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=14997name=byelapsed=0.126
Assumptions:
(if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p) +
(if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p) =
1
  [(if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p) +
   (if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p) =
   1]
(if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p) +
(if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p) =
1
  [(if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p) +
   (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p) =
   1]
1 - (if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)
< (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)
  [1 -
   (if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)
   < (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)]

Proved:
(if coll p r q then 0 else det3 s p r) / (det3 p r q + det3 q s p)
< (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)
  [1 -
   (if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)
   < (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p),
    (if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p) +
    (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p) =
    1]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
ML_statistics = :now=1464100102.54tasks_ready=3022tasks_pending=0tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=357size_allocation=3256877056size_allocation_free=474386840size_heap=4903141376size_heap_free_last_full_GC=1564920size_heap_free_last_GC=3257908208threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=670.912time_GC=36.7user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Assumptions:
(if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p) +
(if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p) =
1
(if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p) +
(if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p) =
1
1 - (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)
< (if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)
  [1 -
   (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)
   < (if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)]

Proved:
(if coll p r q then 0 else det3 r q s) / (det3 p r q + det3 q s p)
< (if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)
  [1 -
   (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)
   < (if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
Assumptions:
(if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p) +
(if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p) =
1
(if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p) +
(if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p) =
1
(if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)
< 1 - (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)
  [(if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)
   < 1 -
     (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)]

Proved:
(if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)
< (if coll p r q then 0 else det3 r q s) / (det3 p r q + det3 q s p)
  [(if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)
   < 1 -
     (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
Assumptions:
(if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p) +
(if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p) =
1
  [(if coll p r q then 0 else 1) * det3 p r q / (det3 p r q + det3 q s p) +
   (if coll p r q then 0 else det3 q s p / 1) / (det3 p r q + det3 q s p) =
   1]
(if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p) +
(if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p) =
1
  [(if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p) +
   (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p) =
   1]
1 - (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)
< (if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)
  [1 -
   (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)
   < (if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)]

Proved:
(if coll p r q then 0 else det3 r q s) / (det3 p r q + det3 q s p)
< (if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p)
  [1 -
   (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p)
   < (if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p),
    (if coll p r q then 0 else det3 r q s / 1) / (det3 p r q + det3 q s p) +
    (if coll p r q then 0 else det3 s p r / 1) / (det3 p r q + det3 q s p) =
    1]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
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command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=164849name=henceelapsed=0.025
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=174262name=byelapsed=0.026
ML_statistics = :now=1464100106.61tasks_ready=2904tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=360size_allocation=3234856960size_allocation_free=1558432448size_heap=4910481408size_heap_free_last_full_GC=1564920size_heap_free_last_GC=3235643792threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=685.92time_GC=36.84user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
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command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=165902name=finallyelapsed=0.019
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command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=174885name=nextelapsed=0.020
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=16663name=byelapsed=0.012
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=174958name=haveelapsed=0.029
command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=16355name=byelapsed=0.012
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=2532name=byelapsed=0.011
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=175276name=showelapsed=0.024
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=10805name=byelapsed=0.014
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=11531name=byelapsed=0.020
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=11576name=byelapsed=0.012
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=16141name=byelapsed=0.011
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=16292name=byelapsed=0.014
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=16362name=byelapsed=0.021
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=175319name=qedelapsed=0.152
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=16542name=applyelapsed=0.024
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=29608name=byelapsed=0.016
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=26634name=byelapsed=0.128
ML_statistics = :now=1464100107.17tasks_ready=2870tasks_pending=0tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=361size_allocation=3231711232size_allocation_free=3231711232size_heap=4908384256size_heap_free_last_full_GC=1564920size_heap_free_last_GC=3231969640threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=688.928time_GC=36.896user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=33468name=byelapsed=0.066
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=31832name=byelapsed=0.025
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=32035name=byelapsed=0.016
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=33682name=byelapsed=0.020
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=33828name=byelapsed=0.019
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=32176name=byelapsed=0.010
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### Ignoring duplicate rewrite rule:
### of_nat (?m1 * ?n1) \<equiv> of_nat ?m1 * of_nat ?n1
### Ignoring duplicate rewrite rule:
### of_nat (?m1 ^ ?n1) \<equiv> of_nat ?m1 ^ ?n1
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command_timing = :file=~~/src/HOL/Library/Float.thyoffset=31748name=byelapsed=0.585
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command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=20385name=showelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=20413name=nextelapsed=0.015
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=20480name=haveelapsed=0.019
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=20612name=showelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=20829name=showelapsed=0.016
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=43993name=applyelapsed=0.241
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=20850name=nextelapsed=0.016
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=44061name=byelapsed=0.021
### Ignoring duplicate rewrite rule:
### of_nat (?m1 * ?n1) \<equiv> of_nat ?m1 * of_nat ?n1
### Ignoring duplicate rewrite rule:
### of_nat (?m1 ^ ?n1) \<equiv> of_nat ?m1 ^ ?n1
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command_timing = :file=~~/src/HOL/Library/Float.thyoffset=44438name=byelapsed=0.011
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=20924name=nextelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=20957name=showelapsed=0.016
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=54866name=byelapsed=0.017
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=55339name=byelapsed=0.012
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=55888name=byelapsed=0.018
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=44661name=applyelapsed=0.130
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=56003name=byelapsed=0.021
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=56532name=byelapsed=0.019
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=56708name=byelapsed=0.026
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=59153name=byelapsed=0.012
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=56871name=byelapsed=0.063
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=44682name=applyelapsed=0.171
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=59285name=byelapsed=0.027
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=44773name=byelapsed=0.020
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=57067name=byelapsed=0.026
ML_statistics = :now=1464100108.17tasks_ready=2815tasks_pending=0tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=361size_allocation=3231711232size_allocation_free=1505409752size_heap=4908384256size_heap_free_last_full_GC=1564920size_heap_free_last_GC=3231969640threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=692.112time_GC=36.896user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=59506name=byelapsed=0.049
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=59846name=byelapsed=0.077
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=60012name=byelapsed=0.024
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=64177name=showelapsed=0.024
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=64318name=showelapsed=0.024
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=64481name=nextelapsed=0.022
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=64492name=haveelapsed=0.025
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=64679name=haveelapsed=0.025
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=64894name=finallyelapsed=0.022
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=64908name=haveelapsed=0.028
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=65039name=haveelapsed=0.022
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=65122name=finallyelapsed=0.021
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=65130name=showelapsed=0.023
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=65235name=byelapsed=0.013
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=59637name=byelapsed=0.440
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=65470name=byelapsed=0.048
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=73180name=byelapsed=0.012
### Metis: Unused theorems: "Archimedean_Field.floor_less_cancel"
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command_timing = :file=~~/src/HOL/Library/Float.thyoffset=73441name=byelapsed=0.028
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=73823name=haveelapsed=0.028
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=74389name=byelapsed=0.025
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command_timing = :file=~~/src/HOL/Library/Float.thyoffset=76490name=byelapsed=0.010
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command_timing = :file=~~/src/HOL/Library/Float.thyoffset=74950name=byelapsed=0.017
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=77310name=byelapsed=0.010
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=75075name=byelapsed=0.017
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=77491name=byelapsed=0.015
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=77780name=byelapsed=0.013
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=78068name=byelapsed=0.019
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=78189name=byelapsed=0.016
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=12255name=applyelapsed=0.017
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=12535name=byelapsed=0.020
command_timing = :file=~~/src/HOL/Library/Float.thyoffset=78311name=byelapsed=0.055
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=13015name=letelapsed=0.023
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=12700name=showelapsed=0.022
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command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=20666name=byelapsed=0.042
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=13609name=haveelapsed=0.031
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=13696name=haveelapsed=0.041
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=13873name=haveelapsed=0.032
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=21243name=byelapsed=0.073
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=31676name=byelapsed=0.014
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=14022name=haveelapsed=0.029
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=36884name=byelapsed=0.011
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=14137name=haveelapsed=0.029
ML_statistics = :now=1464100109.21tasks_ready=2753tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=362size_allocation=3223322624size_allocation_free=2342418176size_heap=4905238528size_heap_free_last_full_GC=1564920size_heap_free_last_GC=3224422952threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=696.56time_GC=36.968user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=14242name=finallyelapsed=0.024
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command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=43152name=haveelapsed=0.020
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command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=38389name=showelapsed=0.023
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=38486name=showelapsed=0.023
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=33647name=haveelapsed=0.022
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Counterclockwise_2D_Arbitrary.thyoffset=15389name=byelapsed=7.118
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=39886name=nextelapsed=0.021
command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=33727name=haveelapsed=0.021
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### Rule already declared as introduction (intro)
### ?P ?x \<Longrightarrow> \<exists>x. ?P x
### Rule already declared as introduction (intro)
### ?P ?x \<Longrightarrow> \<exists>x. ?P x
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### Ignoring duplicate rewrite rule:
### ?a1 ^ ?n1 < (0::?'a1) \<equiv> odd ?n1 \<and> ?a1 < (0::?'a1)
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### Ignoring duplicate rewrite rule:
### inverse ?a1 \<equiv> (1::?'a1) / ?a1
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"((FloatR (- 1409082855) (- 32), FloatR (- 1501974880) (- 30)),
  Pdevs
   (Abs_slist
     [(394, FloatR 0 (- 57), FloatR 1307694089 (- 57)),
      (393, FloatR 1150609178 (- 57), FloatR 0 (- 57)),
      (366, FloatR 1425074522 (- 33), FloatR 1490954442 (- 34)),
      (365, FloatR 1490954448 (- 34), FloatR (- 1425074527) (- 33)),
      (1, FloatR 1415409877 (- 32), FloatR (- 1412879066) (- 31)),
      (0, FloatR (- 1412879062) (- 33), FloatR (- 1415409871) (- 34))]))"
  :: "(real \<times> real) \<times> (real \<times> real) pdevs"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Affine_Approximation.thyoffset=461name=valueelapsed=9.469
ML_statistics = :now=1464100138.78tasks_ready=214tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=380size_allocation=3041918976size_allocation_free=566352680size_heap=4902092800size_heap_free_last_full_GC=1564920size_heap_free_last_GC=3042637728threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=809.388time_GC=38.268user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
"((FloatR 200 7, FloatR 200 7),
  Pdevs
   (Abs_slist
     [(5, FloatR 0 0, FloatR 0 0), (4, FloatR 0 0, FloatR 0 0),
      (3, FloatR 5 (- 1), FloatR 0 (- 1)),
      (2, FloatR 0 (- 1), FloatR 6 (- 1)),
      (1, FloatR 0 (- 1), FloatR 4 (- 1)),
      (0, FloatR 1 (- 1), FloatR 0 (- 1))]))"
  :: "(real \<times> real) \<times> (real \<times> real) pdevs"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Affine_Approximation.thyoffset=675name=valueelapsed=9.720
ML_statistics = :now=1464100139.31tasks_ready=116tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=381size_allocation=3021996032size_allocation_free=2008124792size_heap=4905238528size_heap_free_last_full_GC=1564920size_heap_free_last_GC=3022800072threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=811.784time_GC=38.344user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100139.81tasks_ready=14tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=381size_allocation=3021996032size_allocation_free=941604328size_heap=4905238528size_heap_free_last_full_GC=1564920size_heap_free_last_GC=3022800072threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=813.356time_GC=38.344user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100140.41tasks_ready=0tasks_pending=1tasks_running=3tasks_passive=0tasks_urgent=0workers_total=8workers_active=3workers_waiting=0full_GCs=1partial_GCs=382size_allocation=3014656000size_allocation_free=3014656000size_heap=4894752768size_heap_free_last_full_GC=1564920size_heap_free_last_GC=3016365432threads_in_ML=1threads_total=11threads_wait_condvar=6threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=814.548time_GC=38.48user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
"Some
  ((FloatR 0 (- 3), FloatR 0 (- 2), FloatR 0 (- 1)),
   Pdevs
    (Abs_slist
      [(2, FloatR 0 (- 1), FloatR 0 (- 1), FloatR 0 (- 1)),
       (1, FloatR 0 (- 2), FloatR 4 (- 2), FloatR 0 (- 2)),
       (0, FloatR 16 (- 3), FloatR 0 (- 3), FloatR 0 (- 3))]))"
  :: "((real \<times> real \<times> real) \<times>
       (real \<times> real \<times> real) pdevs) option"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Intersection.thyoffset=102585name=valueelapsed=9.163
ML_statistics = :now=1464100140.91tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=8workers_active=1workers_waiting=0full_GCs=1partial_GCs=382size_allocation=3014656000size_allocation_free=2027446488size_heap=4894752768size_heap_free_last_full_GC=1564920size_heap_free_last_GC=3016365432threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=815.632time_GC=38.48user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100141.42tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=8workers_active=1workers_waiting=0full_GCs=1partial_GCs=382size_allocation=3014656000size_allocation_free=434929968size_heap=4894752768size_heap_free_last_full_GC=1564920size_heap_free_last_GC=3016365432threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=817.232time_GC=38.48user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
"((FloatR 10 (- 3), FloatR 10 (- 2), FloatR 6 (- 1)),
  Pdevs
   (Abs_slist
     [(2, FloatR 0 (- 1), FloatR 0 (- 1), FloatR 0 (- 1)),
      (1, FloatR 0 (- 2), FloatR 4 (- 2), FloatR 0 (- 2)),
      (0, FloatR 4 (- 3), FloatR 0 (- 3), FloatR 0 (- 3))]))"
  :: "(real \<times> real \<times> real) \<times>
      (real \<times> real \<times> real) pdevs"
command_timing = :file=~~/afp/thys/Affine_Arithmetic/Ex_Inter.thyoffset=411name=valueelapsed=9.185
ML_statistics = :now=1464100141.92tasks_ready=0tasks_pending=0tasks_running=0tasks_passive=0tasks_urgent=0workers_total=8workers_active=0workers_waiting=0full_GCs=1partial_GCs=383size_allocation=2983198720size_allocation_free=2983198720size_heap=4895801344size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2984221568threads_in_ML=1threads_total=11threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=817.788time_GC=38.504user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100142.42tasks_ready=0tasks_pending=0tasks_running=0tasks_passive=0tasks_urgent=0workers_total=8workers_active=0workers_waiting=0full_GCs=1partial_GCs=383size_allocation=2983198720size_allocation_free=2679138312size_heap=4895801344size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2984221568threads_in_ML=1threads_total=11threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=818.188time_GC=38.504user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100142.92tasks_ready=194tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=383size_allocation=2983198720size_allocation_free=2377306256size_heap=4895801344size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2984221568threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=818.592time_GC=38.504user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Loading theory "Diagonal_Subsequence" (required by "Ordinary_Differential_Equations" via "Linear_ODE" via "Flow")
loading_theory = Diagonal_Subsequence
Loading theory "Optimize_Integer" (required by "Ordinary_Differential_Equations" via "Examples" via "Example1" via "Optimize_Float")
loading_theory = Optimize_Integer
Loading theory "Bounded_Linear_Operator" (required by "Ordinary_Differential_Equations" via "Linear_ODE" via "Flow")
loading_theory = Bounded_Linear_Operator
Loading theory "Print" (required by "Ordinary_Differential_Equations" via "Examples" via "Example1" via "Euler_Affine" via "Euler_Affine_Code")
loading_theory = Print
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=85name=theoryelapsed=0.148
locale subseqs =
  fixes P :: "nat \<Rightarrow> (nat \<Rightarrow> nat) \<Rightarrow> bool" 
  assumes "subseqs P"
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=141name=localeelapsed=0.014
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=267name=definitionelapsed=0.012
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=608name=primrecelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=35name=theoryelapsed=0.216
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Print.thyoffset=42name=theoryelapsed=0.227
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Print.thyoffset=207name=definitionelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=140name=typedefelapsed=0.028
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=1758name=primrecelapsed=0.016
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Print.thyoffset=271name=definitionelapsed=0.011
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=2083name=lemmaelapsed=0.016
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Print.thyoffset=398name=lift_definitionelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Print.thyoffset=398name=lift_definitionelapsed=0.016
ML_statistics = :now=1464100143.43tasks_ready=21tasks_pending=19tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=383size_allocation=2983198720size_allocation_free=1097457816size_heap=4895801344size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2984221568threads_in_ML=5threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=820.784time_GC=38.504user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Print.thyoffset=703name=definitionelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=140name=typedefelapsed=0.067
### theory "Diagonal_Subsequence"
### 0.316s elapsed time, 1.464s cpu time, 0.000s GC time
Loading theory "ODE_Auxiliarities" (required by "Ordinary_Differential_Equations" via "MVT_Ex")
loading_theory = ODE_Auxiliarities
### Generation of a parametrized correspondence relation failed.
### Reason:  No relator for the type "Bounded_Linear_Function.blinfun" found.
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Print.thyoffset=1008name=lift_definitionelapsed=0.026
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Print.thyoffset=2564name=definitionelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Print.thyoffset=2628name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Print.thyoffset=2871name=definitionelapsed=0.022
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Print.thyoffset=3137name=definitionelapsed=0.015
### theory "Print"
### 0.416s elapsed time, 1.936s cpu time, 0.000s GC time
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=211name=setup_liftingelapsed=0.103
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Optimize_Integer.thyoffset=42name=theoryelapsed=0.422
### Ignoring duplicate rewrite rule:
### int_of_integer (- 1) \<equiv> - 1
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=249name=lift_definitionelapsed=0.018
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Optimize_Integer.thyoffset=275name=definitionelapsed=0.012
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=780name=thuselapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Optimize_Integer.thyoffset=389name=lift_definitionelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=342name=lift_definitionelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Optimize_Integer.thyoffset=670name=definitionelapsed=0.012
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=837name=thuselapsed=0.025
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Optimize_Integer.thyoffset=789name=lift_definitionelapsed=0.015
### theory "Optimize_Integer"
### 0.494s elapsed time, 2.328s cpu time, 0.000s GC time
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=1044name=thuselapsed=0.024
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=1173name=byelapsed=0.011
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=2023name=showelapsed=0.023
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=1471name=haveelapsed=0.026
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=1571name=haveelapsed=0.024
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=1627name=finallyelapsed=0.022
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=2680name=haveelapsed=0.023
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=1635name=showelapsed=0.021
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=2782name=finallyelapsed=0.020
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=2790name=showelapsed=0.024
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=3213name=haveelapsed=0.025
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Print.thyoffset=1334name=byelapsed=0.012
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=3351name=finallyelapsed=0.024
command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=3359name=showelapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=424name=no_notationelapsed=0.336
ML_statistics = :now=1464100143.93tasks_ready=0tasks_pending=19tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=1partial_GCs=383size_allocation=2983198720size_allocation_free=234038432size_heap=4895801344size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2984221568threads_in_ML=5threads_total=11threads_wait_condvar=6threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=822.728time_GC=38.504user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
instantiation
  blinop :: (real_normed_vector) real_normed_vector
  uminus_blinop == uminus :: 'a blinop \<Rightarrow> 'a blinop
  zero_blinop == zero_class.zero :: 'a blinop
  minus_blinop == minus ::
    'a blinop \<Rightarrow> 'a blinop \<Rightarrow> 'a blinop
  plus_blinop == plus ::
    'a blinop \<Rightarrow> 'a blinop \<Rightarrow> 'a blinop
  sgn_blinop == sgn :: 'a blinop \<Rightarrow> 'a blinop
  norm_blinop == norm :: 'a blinop \<Rightarrow> real
  scaleR_blinop == scaleR ::
    real \<Rightarrow> 'a blinop \<Rightarrow> 'a blinop
  dist_blinop == dist ::
    'a blinop \<Rightarrow> 'a blinop \<Rightarrow> real
  open_blinop == open :: 'a blinop set \<Rightarrow> bool
  uniformity_blinop == uniformity :: ('a blinop \<times> 'a blinop) filter
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=652name=lift_definitionelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=713name=lift_definitionelapsed=0.168
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=793name=lift_definitionelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=866name=definitionelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=1012name=definitionelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=28name=theoryelapsed=0.760
instantiation
  prod :: (zero_neq_one, zero_neq_one) zero_neq_one
  one_prod == one_class.one :: 'a \<times> 'b
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=1138name=lift_definitionelapsed=0.031
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=227name=definitionelapsed=0.023
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=1208name=lift_definitionelapsed=0.028
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=1259name=lift_definitionelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=385name=lemmaelapsed=0.052
locale no_real_inner
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=1337name=lift_definitionelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=797name=lift_definitionelapsed=0.025
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=644name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=1412name=lift_definitionelapsed=0.031
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=971name=lift_definitionelapsed=0.026
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=691name=byelapsed=0.021
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=1823name=interpretationelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=741name=finallyelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=1487name=applyelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=1497name=textelapsed=0.013
instantiation
  blinop :: ({real_normed_vector,perfect_space}) real_normed_algebra_1
  one_blinop == one_class.one :: 'a blinop
  times_blinop == times ::
    'a blinop \<Rightarrow> 'a blinop \<Rightarrow> 'a blinop
locale blinfun_syntax
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=749name=showelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=2798name=lift_definitionelapsed=0.029
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=2923name=lift_definitionelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=1759name=byelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=1207name=byelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=1504name=applyelapsed=0.111
ML_statistics = :now=1464100144.57tasks_ready=8tasks_pending=19tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=384size_allocation=3003121664size_allocation_free=2180981552size_heap=4895801344size_heap_free_last_full_GC=1564920size_heap_free_last_GC=3004611232threads_in_ML=5threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=824.792time_GC=38.64user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=2349name=applyelapsed=0.020
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=1324name=byelapsed=0.062
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=2580name=applyelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=3109name=proofelapsed=0.016
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=3153name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=3190name=obtainelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=3190name=obtainelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=3229name=showelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=4106name=no_notationelapsed=0.334
### theory "Bounded_Linear_Operator"
### 1.741s elapsed time, 7.156s cpu time, 0.136s GC time
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=3360name=qedelapsed=0.111
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=1792name=no_notationelapsed=0.486
ML_statistics = :now=1464100145.07tasks_ready=0tasks_pending=21tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=1partial_GCs=384size_allocation=3003121664size_allocation_free=1189320104size_heap=4895801344size_heap_free_last_full_GC=1564920size_heap_free_last_GC=3004611232threads_in_ML=3threads_total=11threads_wait_condvar=6threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=826.684time_GC=38.64user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=2143name=interpretelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=3236name=lemmaelapsed=0.012
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=3749name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=3398name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=4044name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=4236name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=4392name=lemmaelapsed=0.021
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=2661name=fixelapsed=0.039
ML_statistics = :now=1464100145.73tasks_ready=0tasks_pending=25tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=385size_allocation=2964324352size_allocation_free=2964324352size_heap=4891607040size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2965342072threads_in_ML=2threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=828.824time_GC=38.808user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
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locale bounded_bilinear =
  fixes prod :: "'a \<Rightarrow> 'b \<Rightarrow> 'c" 
  assumes "bounded_bilinear op **"
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=6636name=lemmaelapsed=0.014
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=7812name=lemmaelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=5355name=interpretelapsed=0.036
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=8348name=lift_definitionelapsed=0.037
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=5458name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=2846name=byelapsed=0.020
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=5737name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=6901name=byelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=5903name=showelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=7466name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=7270name=byelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=7762name=byelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=5297name=byelapsed=0.059
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=8610name=byelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=8684name=byelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=8107name=byelapsed=0.070
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=9085name=obtainelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=9629name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=9085name=obtainelapsed=0.034
ML_statistics = :now=1464100146.23tasks_ready=7tasks_pending=21tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=385size_allocation=2964324352size_allocation_free=1815405264size_heap=4891607040size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2965342072threads_in_ML=5threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=830.804time_GC=38.808user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=9730name=obtainelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=9157name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=9730name=obtainelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=9321name=showelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=9856name=fixelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=10849name=obtainelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=9958name=obtainelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=10849name=obtainelapsed=0.034
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=9958name=obtainelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=10953name=henceelapsed=0.035
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=11061name=showelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=10163name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=5846name=subgoalelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=10206name=finallyelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=11592name=contextelapsed=0.605
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=5846name=subgoalelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=11623name=lemmaelapsed=0.018
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=5876name=subgoalelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=10214name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=11725name=lemmaelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=5876name=subgoalelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=10259name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=9664name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=9794name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=10377name=ultimatelyelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=10068name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=10388name=showelapsed=0.042
ML_statistics = :now=1464100146.73tasks_ready=29tasks_pending=21tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=385size_allocation=2964324352size_allocation_free=828448560size_heap=4891607040size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2965342072threads_in_ML=5threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=832.792time_GC=38.808user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=11050name=byelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=11188name=obtainelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=10239name=byelapsed=0.015
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=10299name=byelapsed=0.011
### Ignoring duplicate rewrite rule:
### convex (cball ?x1 ?e1) \<equiv> True
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=20859name=lemmaelapsed=0.121
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=11261name=haveelapsed=0.156
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=22623name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=11370name=obtainelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=12999name=byelapsed=0.217
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=11370name=obtainelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=11439name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=26547name=lemmaelapsed=0.027
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=13149name=byelapsed=0.092
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=11486name=haveelapsed=0.039
### Ignoring duplicate rewrite rule:
### 0 < ?e1 \<Longrightarrow> closure (ball ?x1 ?e1) \<equiv> cball ?x1 ?e1
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=13301name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=11530name=finallyelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=13550name=applyelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=11538name=showelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=35400name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=35710name=lemmaelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=13741name=byelapsed=0.084
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=37476name=lemmaelapsed=0.015
ML_statistics = :now=1464100147.31tasks_ready=82tasks_pending=21tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=386size_allocation=2937061376size_allocation_free=2937061376size_heap=4901044224size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2938325008threads_in_ML=2threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=834.356time_GC=38.924user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=13876name=byelapsed=0.049
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=40008name=lemmaelapsed=0.028
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=14391name=byelapsed=0.062
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=14620name=byelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=14890name=byelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=40617name=lemmaelapsed=0.052
### Metis: Unused theorems: "Set.all_not_in_conv", "Set.disjoint_iff_not_equal", "Orderings.linorder_class.le_cases"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=41813name=lemmaelapsed=0.031
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=15948name=henceelapsed=0.039
### Metis: Unused theorems: "Set.all_not_in_conv", "Set.disjoint_iff_not_equal", "Orderings.linorder_class.le_cases"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=42681name=lemmaelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=16071name=thuselapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=44629name=lemmaelapsed=0.025
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=45835name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=16374name=henceelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=47264name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=48150name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=16493name=thuselapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=49273name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=49591name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=50070name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=16677name=byelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=51194name=lemmaelapsed=0.025
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=52319name=lemmaelapsed=0.029
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=16964name=finallyelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=54032name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=54765name=lemmaelapsed=0.021
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=16972name=showelapsed=0.038
ML_statistics = :now=1464100147.81tasks_ready=104tasks_pending=21tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=386size_allocation=2937061376size_allocation_free=440458472size_heap=4901044224size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2938325008threads_in_ML=5threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=838.324time_GC=38.924user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=57680name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=17380name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=59653name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=17431name=finallyelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=60180name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=60520name=lemmaelapsed=0.150
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=17439name=showelapsed=0.175
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=61158name=lemmaelapsed=0.016
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=62872name=lemmaelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64743name=lemmaelapsed=0.022
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=67600name=lemmaelapsed=0.021
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=69069name=lemmaelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=17604name=byelapsed=0.152
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=70258name=lemmaelapsed=0.016
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=71420name=lemmaelapsed=0.018
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=71867name=lemmaelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=72331name=lemmaelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=75314name=lemmaelapsed=0.067
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=17785name=byelapsed=0.215
ML_statistics = :now=1464100148.43tasks_ready=131tasks_pending=22tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=387size_allocation=2931818496size_allocation_free=1442130560size_heap=4897898496size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2932640736threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=840.676time_GC=39.056user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=17957name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=11238name=byelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=75501name=lemmaelapsed=0.067
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=18144name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=18348name=byelapsed=0.016
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=18554name=byelapsed=0.016
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=75691name=lemmaelapsed=0.064
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=18869name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=18906name=finallyelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=75859name=lemmaelapsed=0.064
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=18914name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=76354name=definitionelapsed=0.023
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=76737name=definitionelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=19183name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=19220name=finallyelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=78886name=lift_definitionelapsed=0.027
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=19228name=showelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=79397name=lift_definitionelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=19474name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=79397name=lift_definitionelapsed=0.034
### theory "ODE_Auxiliarities"
### 5.283s elapsed time, 21.420s cpu time, 0.552s GC time
Loading theory "Initial_Value_Problem" (required by "Ordinary_Differential_Equations" via "Linear_ODE" via "Flow" via "Picard_Lindeloef_Qualitative")
loading_theory = Initial_Value_Problem
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=19505name=finallyelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=19513name=showelapsed=0.039
Loading theory "MVT_Ex" (required by "Ordinary_Differential_Equations")
loading_theory = MVT_Ex
### Metis: Unused theorems: "Set.all_not_in_conv", "Set.disjoint_iff_not_equal", "Orderings.linorder_class.le_cases"
ML_statistics = :now=1464100148.94tasks_ready=154tasks_pending=18tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=387size_allocation=2931818496size_allocation_free=300107416size_heap=4897898496size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2932640736threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=842.276time_GC=39.056user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
### Metis: Unused theorems: "Set.all_not_in_conv", "Set.disjoint_iff_not_equal", "Orderings.linorder_class.le_cases"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=15590name=byelapsed=1.505
Loading theory "Multivariate_Taylor" (required by "Ordinary_Differential_Equations" via "Linear_ODE" via "Flow")
loading_theory = Multivariate_Taylor
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=33name=theoryelapsed=0.445
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=1560name=definitionelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=31name=theoryelapsed=0.235
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=4479name=definitionelapsed=0.022
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=4715name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=4926name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=15517name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=17038name=lemmaelapsed=0.014
ML_statistics = :now=1464100149.58tasks_ready=183tasks_pending=18tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=388size_allocation=2911895552size_allocation_free=2175668944size_heap=4892655616size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2912743488threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=844.312time_GC=39.236user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=157name=no_notationelapsed=0.344
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=234name=lemmaelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=2475name=lemmaelapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=3525name=lemmaelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=5022name=lemmaelapsed=0.026
locale second_derivative_within =
  fixes f :: "'a \<Rightarrow> 'b" 
    and f' :: "'a \<Rightarrow> 'a \<Rightarrow>\<^sub>L 'b" 
    and f'' :: "'a \<Rightarrow>\<^sub>L 'a \<Rightarrow>\<^sub>L 'b" 
    and a :: "'a" 
    and G :: "'a set" 
  assumes "second_derivative_within f f' f'' a G"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=17119name=localeelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=17426name=lemmaelapsed=0.011
locale second_derivative =
  fixes f :: "'a \<Rightarrow> 'b" 
    and f' :: "'a \<Rightarrow> 'a \<Rightarrow>\<^sub>L 'b" 
    and f'' :: "'a \<Rightarrow>\<^sub>L 'a \<Rightarrow>\<^sub>L 'b" 
    and a :: "'a" 
    and G :: "'a set" 
  assumes "second_derivative f f' f'' a G"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=17860name=localeelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=19426name=lemmaelapsed=0.036
ML_statistics = :now=1464100150.08tasks_ready=214tasks_pending=18tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=388size_allocation=2911895552size_allocation_free=1395636480size_heap=4892655616size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2912743488threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=845.908time_GC=39.236user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=24202name=no_notationelapsed=0.353
### theory "Multivariate_Taylor"
### 1.233s elapsed time, 4.900s cpu time, 0.000s GC time
Loading theory "Optimize_Float" (required by "Ordinary_Differential_Equations" via "Examples" via "Example1")
loading_theory = Optimize_Float
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=19013name=recordelapsed=0.867
locale ivp =
  fixes i :: "'a ivp" 
  assumes "ivp i"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=19136name=localeelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=19388name=definitionelapsed=0.025
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=19538name=definitionelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=22159name=lemmaelapsed=0.010
ML_statistics = :now=1464100150.59tasks_ready=222tasks_pending=18tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=388size_allocation=2911895552size_allocation_free=516144112size_heap=4892655616size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2912743488threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=847.492time_GC=39.236user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=23047name=lemmaelapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=23586name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=1name=theoryelapsed=2.050
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=23878name=lemmaelapsed=0.285
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=347name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=24789name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=1133name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=1845name=lemmaelapsed=0.015
locale has_solution =
  fixes i :: "'a ivp" 
  assumes "has_solution i"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=25314name=localeelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=3265name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=4088name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=25822name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=4297name=lemmaelapsed=0.014
### theory "MVT_Ex"
### 2.141s elapsed time, 7.164s cpu time, 0.440s GC time
locale unique_solution =
  fixes i :: "'a ivp" 
  assumes "unique_solution i"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=26482name=localeelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=19757name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=27342name=lemmaelapsed=0.019
locale interval =
  fixes a :: "'a" 
    and b :: "'a" 
  assumes "interval a b"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=28579name=localeelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=19788name=finallyelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=19796name=showelapsed=0.036
locale ivp_on_interval =
  fixes i :: "'a ivp" 
    and t1 :: "real" 
  assumes "ivp_on_interval i t1"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=28643name=localeelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Optimize_Float.thyoffset=40name=theoryelapsed=0.757
### Code generator: dropping subsumed code equation
### bitlen ?x \<equiv> if 0 < ?x then bitlen (?x div 2) + 1 else 0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=19931name=byelapsed=0.023
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Optimize_Float.thyoffset=234name=lemmaelapsed=0.011
### Code generator: dropping subsumed code equation
### real_of_float (Float ?m ?e) \<equiv>
### if 0 \<le> ?e then real_of_int ?m * 2 ^ nat ?e
### else real_of_int ?m / 2 ^ nat (- ?e)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=20533name=byelapsed=0.011
### Code generator: dropping subsumed code equation
### float_down ?p (Float ?m ?e) \<equiv>
### if ?p + ?e < 0 then Float (div_twopow ?m (nat (- (?p + ?e)))) (- ?p)
### else Float ?m ?e
locale ivp_on_interval_left =
  fixes i :: "'a ivp" 
    and t1 :: "real" 
  assumes "ivp_on_interval_left i t1"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=29566name=localeelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Optimize_Float.thyoffset=656name=lemmaelapsed=0.010
### Code generator: dropping subsumed code equation
### lapprox_posrat ?prec ?x ?y \<equiv>
### let l = rat_precision ?prec (int ?x) (int ?y);
###     x = if 0 \<le> l then ?x * 2 ^ nat l div ?y
###         else ?x div 2 ^ nat (- l) div ?y
### in normfloat (Float (int x) (- l))
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Optimize_Float.thyoffset=656name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=20774name=finallyelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Optimize_Float.thyoffset=1036name=lemmaelapsed=0.053
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=20782name=showelapsed=0.039
### Code generator: dropping subsumed code equation
### rapprox_posrat ?prec ?x ?y \<equiv>
### let l = rat_precision ?prec (int ?x) (int ?y);
###     (r, s) =
###       if 0 \<le> l then (int ?x * 2 ^ nat l, int ?y)
###       else (int ?x, int ?y * 2 ^ nat (- l));
###     d = r div s; m = r mod s
### in normfloat (Float (d + (if m = 0 \<or> ?y = 0 then 0 else 1)) (- l))
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Optimize_Float.thyoffset=1036name=lemmaelapsed=0.025
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=21172name=thuselapsed=0.037
### Code generator: dropping subsumed code equation
### float_round_down ?prec (Float ?m ?e) \<equiv>
### let d = bitlen \<bar>?m\<bar> - int ?prec - 1
### in if 0 < d then Float (div_twopow ?m (nat d)) (?e + d) else Float ?m ?e
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Optimize_Float.thyoffset=1502name=lemmaelapsed=0.010
locale connected_solutions =
  fixes i :: "'a ivp" 
    and i1 :: "'a ivp" 
    and i2 :: "'a ivp" 
    and y :: "real \<Rightarrow> 'a" 
  assumes "connected_solutions i i1 i2 y"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=30695name=localeelapsed=0.093
### Code generator: dropping subsumed code equation
### int_floor_fl (Float ?m ?e) \<equiv>
### if 0 \<le> ?e then ?m * 2 ^ nat ?e else ?m div 2 ^ nat (- ?e)
### Code generator: dropping subsumed code equation
### floor_fl (Float ?m ?e) \<equiv>
### if 0 \<le> ?e then Float ?m ?e else Float (?m div 2 ^ nat (- ?e)) 0
### theory "Optimize_Float"
### 0.934s elapsed time, 2.924s cpu time, 0.260s GC time
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=31554name=definitionelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=21541name=fixelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=33361name=sublocaleelapsed=0.013
ML_statistics = :now=1464100151.35tasks_ready=255tasks_pending=18tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=389size_allocation=2883584000size_allocation_free=2012592776size_heap=4879024128size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2885159768threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=850.288time_GC=39.496user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=22281name=finallyelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=21600name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=22289name=showelapsed=0.034
### Rule already declared as introduction (intro)
### \<lbrakk>?b = ?f ?x; ?x \<in> ?A\<rbrakk> \<Longrightarrow> ?b \<in> ?f ` ?A
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=21694name=fixelapsed=0.035
locale connected_unique_solutions =
  fixes i :: "'a ivp" 
    and i1 :: "'a ivp" 
    and i2 :: "'a ivp" 
    and t1 :: "real" 
  assumes "connected_unique_solutions i i1 i2 t1"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=33461name=localeelapsed=0.071
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=22486name=applyelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=21756name=haveelapsed=0.039
locale continuous_rhs =
  fixes T :: "'a set" 
    and X :: "'b set" 
    and f :: "'a \<times> 'b \<Rightarrow> 'c" 
  assumes "continuous_rhs T X f"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=36523name=localeelapsed=0.020
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=22519name=byelapsed=0.027
locale global_lipschitz =
  fixes T :: "'a set" 
    and X :: "'b set" 
    and f :: "'a \<times> 'b \<Rightarrow> 'c" 
    and L :: "real" 
  assumes "global_lipschitz T X f L"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=36608name=localeelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=21859name=ultimatelyelapsed=0.037
locale closed_domain =
  fixes X :: "'a set" 
  assumes "closed_domain X"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=36723name=localeelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=21870name=showelapsed=0.037
### Ignoring duplicate rewrite rule:
### is_interval {} \<equiv> True
### Ignoring duplicate rewrite rule:
### is_interval UNIV \<equiv> True
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=23096name=applyelapsed=0.066
locale self_mapping =
  fixes i :: "'a ivp" 
    and t1 :: "real" 
  assumes "self_mapping i t1"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=36784name=localeelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=23198name=byelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=23934name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=23721name=byelapsed=0.043
locale unique_on_closed =
  fixes i :: "'a ivp" 
    and t1 :: "real" 
    and L :: "real" 
  assumes "unique_on_closed i t1 L"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=36974name=localeelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=24461name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=37210name=definitionelapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=24197name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=37295name=definitionelapsed=0.022
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=24264name=finallyelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=38077name=definitionelapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=38159name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=24272name=showelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=25324name=henceelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=25084name=byelapsed=0.141
locale unique_on_bounded_closed =
  fixes i :: "'a ivp" 
    and t1 :: "real" 
    and L :: "real" 
  assumes "unique_on_bounded_closed i t1 L"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=40812name=localeelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=25452name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=45278name=definitionelapsed=0.022
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=26468name=applyelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=26481name=byelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=25588name=finallyelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=48250name=sublocaleelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=25596name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=26991name=letelapsed=0.039
ML_statistics = :now=1464100151.85tasks_ready=271tasks_pending=18tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=389size_allocation=2883584000size_allocation_free=1284514680size_heap=4879024128size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2885159768threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=851.884time_GC=39.496user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=27107name=henceelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=25680name=henceelapsed=0.038
locale unique_on_strip =
  fixes i :: "'a ivp" 
    and t1 :: "real" 
    and L :: "real" 
  assumes "unique_on_strip i t1 L"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=55837name=localeelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=27217name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=25858name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=27346name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=26014name=haveelapsed=0.034
locale cylinder =
  fixes i :: "'a ivp" 
    and e :: "real" 
    and b :: "real" 
  assumes "cylinder i e b"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=56126name=localeelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=27503name=henceelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=26073name=finallyelapsed=0.034
locale solution_in_cylinder =
  fixes i :: "'a ivp" 
    and e :: "real" 
    and b :: "real" 
    and B :: "real" 
  assumes "solution_in_cylinder i e b B"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=56321name=localeelapsed=0.050
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=26081name=showelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=27596name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=56776name=lemmaelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=62323name=lemmaelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=29192name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=27807name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=63340name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=64261name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=27895name=ultimatelyelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=29289name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=65235name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=27906name=showelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=29368name=ultimatelyelapsed=0.033
locale unique_on_cylinder =
  fixes i :: "'a ivp" 
    and e :: "real" 
    and b :: "real" 
    and B :: "real" 
    and L :: "real" 
    and X' :: "'a set" 
  assumes "unique_on_cylinder i e b B L X'"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=66576name=localeelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=29381name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=27986name=henceelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=66955name=sublocaleelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=29515name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=28205name=haveelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=67081name=sublocaleelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=28334name=haveelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=29558name=ultimatelyelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=29571name=showelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=28483name=henceelapsed=0.034
locale unique_on_superset_domain =
  fixes i :: "'a ivp" 
    and X'' :: "'a set" 
  assumes "unique_on_superset_domain i X''"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=70553name=localeelapsed=0.057
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=28591name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=29861name=obtainelapsed=0.037
ML_statistics = :now=1464100152.35tasks_ready=312tasks_pending=18tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=389size_allocation=2883584000size_allocation_free=650175064size_heap=4879024128size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2885159768threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=853.48time_GC=39.496user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=28720name=henceelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=29861name=obtainelapsed=0.035
locale unique_of_superset =
  fixes i :: "'a ivp" 
    and X' :: "'a set" 
  assumes "unique_of_superset i X'"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=72544name=localeelapsed=0.050
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=29910name=thuselapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=28928name=ultimatelyelapsed=0.035
locale derivative_on_prod =
  fixes T :: "real set" 
    and X :: "'a set" 
    and f :: "real \<times> 'a \<Rightarrow> 'a" 
    and
    f' :: "real \<times> 'a \<Rightarrow> real \<times> 'a \<Rightarrow> 'a"
      
  assumes "derivative_on_prod T X f f'"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=73330name=localeelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=28939name=showelapsed=0.036
### theory "Initial_Value_Problem"
### 3.601s elapsed time, 12.980s cpu time, 0.440s GC time
Loading theory "One_Step_Method" (required by "Ordinary_Differential_Equations" via "Examples" via "Example1" via "Euler_Affine" via "Euler_Affine_Code" via "Runge_Kutta")
loading_theory = One_Step_Method
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=30234name=obtainelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=30788name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=30234name=obtainelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=30341name=showelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=30933name=finallyelapsed=0.034
Loading theory "Picard_Lindeloef_Qualitative" (required by "Ordinary_Differential_Equations" via "Linear_ODE" via "Flow")
loading_theory = Picard_Lindeloef_Qualitative
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=30943name=showelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=31400name=haveelapsed=0.267
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=31531name=finallyelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=31539name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=27name=theoryelapsed=0.486
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=31742name=byelapsed=0.033
locale grid =
  fixes t :: "nat \<Rightarrow> real" 
  assumes "grid t"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=167name=localeelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=749name=definitionelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=31986name=byelapsed=0.033
### Ignoring duplicate introduction (intro)
### ((\<lambda>x. x) \<longlongrightarrow> ?a) (at ?a within ?s)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=1062name=definitionelapsed=0.020
### Ignoring duplicate introduction (intro)
### ((\<lambda>x. ?k) \<longlongrightarrow> ?k) ?F
### Ignoring duplicate introduction (intro)
### (?f \<longlongrightarrow> ?x) ?F \<Longrightarrow>
### ((\<lambda>x. ereal (?f x)) \<longlongrightarrow> ereal ?x) ?F
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=1name=theoryelapsed=0.481
### Ignoring duplicate introduction (intro)
### (?f \<longlongrightarrow> ?x) ?F \<Longrightarrow>
### ((\<lambda>x. - ?f x) \<longlongrightarrow> - ?x) ?F
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=1561name=definitionelapsed=0.021
### Ignoring duplicate introduction (intro)
### \<lbrakk>\<bar>?c\<bar> \<noteq> \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?c * ?f x) \<longlongrightarrow> ?c * ?x) ?F
### Ignoring duplicate introduction (intro)
### \<lbrakk>?x \<noteq> 0; (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?c * ?f x) \<longlongrightarrow> ?c * ?x) ?F
ML_statistics = :now=1464100153.06tasks_ready=323tasks_pending=16tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=390size_allocation=2833252352size_allocation_free=2833252352size_heap=4884267008size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2834264056threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=855.388time_GC=39.724user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
### Ignoring duplicate introduction (intro)
### \<lbrakk>?y \<noteq> - \<infinity>; ?x \<noteq> - \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?f x + ?y) \<longlongrightarrow> ?x + ?y) ?F
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=2002name=definitionelapsed=0.017
### Ignoring duplicate introduction (intro)
### \<lbrakk>\<bar>?y\<bar> \<noteq> \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?f x + ?y) \<longlongrightarrow> ?x + ?y) ?F
locale ivp_open =
  fixes i :: "'a ivp" 
  assumes "ivp_open i"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=2088name=localeelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=33460name=byelapsed=0.089
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=3233name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=34129name=henceelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=34272name=henceelapsed=0.034
locale unique_on_open =
  fixes i :: "'a ivp" 
  assumes "unique_on_open i"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=4884name=localeelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=5015name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=34416name=ultimatelyelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=5738name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=34427name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=12145name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=34520name=henceelapsed=0.034
Found termination order:
  "(\<lambda>p. size (snd (snd (snd p)))) <*mlex*> {}"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=16079name=definitionelapsed=0.026
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=2231name=funelapsed=0.236
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=34663name=henceelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=16664name=lemmaelapsed=0.025
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=2428name=definitionelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=2569name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=34807name=ultimatelyelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=2793name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=3575name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=34818name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=31543name=lemmaelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=34844name=ultimatelyelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=35846name=definitionelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=5535name=lemmaelapsed=0.060
### theory "Picard_Lindeloef_Qualitative"
### 0.909s elapsed time, 2.932s cpu time, 0.228s GC time
Loading theory "Flow" (required by "Ordinary_Differential_Equations" via "Linear_ODE")
loading_theory = Flow
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=34855name=showelapsed=0.035
locale consistent_one_step =
  fixes t0 :: "real" 
    and t1 :: "real" 
    and x :: "real \<Rightarrow> 'a" 
    and incr :: "real \<Rightarrow> real \<Rightarrow> 'a \<Rightarrow> 'a" 
    and p :: "nat" 
    and B :: "real" 
    and r :: "real" 
    and L :: "real" 
  assumes "consistent_one_step t0 t1 x incr p B r L"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=13220name=localeelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=36200name=haveelapsed=0.043
locale max_step =
  fixes t :: "nat \<Rightarrow> real" 
    and t1 :: "real" 
    and p :: "nat" 
    and L :: "real" 
    and B :: "real" 
    and r :: "real" 
  assumes "max_step t t1 p L B r"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=13607name=localeelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=13770name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=36381name=obtainelapsed=0.043
ML_statistics = :now=1464100153.56tasks_ready=363tasks_pending=15tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=390size_allocation=2833252352size_allocation_free=2027078504size_heap=4884267008size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2834264056threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=856.98time_GC=39.724user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
locale convergent_one_step =
  fixes t0 :: "real" 
    and t1 :: "real" 
    and x :: "real \<Rightarrow> 'a" 
    and incr :: "real \<Rightarrow> real \<Rightarrow> 'a \<Rightarrow> 'a" 
    and p :: "nat" 
    and B :: "real" 
    and r :: "real" 
    and L :: "real" 
    and t :: "nat \<Rightarrow> real" 
  assumes "convergent_one_step t0 t1 x incr p B r L t"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=14437name=localeelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=36381name=obtainelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=14538name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=36508name=showelapsed=0.035
locale disturbed_one_step =
  fixes t :: "nat \<Rightarrow> real" 
    and t1 :: "real" 
    and s :: "real \<Rightarrow> real \<Rightarrow> 'a \<Rightarrow> 'a" 
    and s0 :: "'a" 
    and x :: "real \<Rightarrow> 'a" 
    and incr :: "real \<Rightarrow> real \<Rightarrow> 'a \<Rightarrow> 'a" 
    and p :: "nat" 
    and B :: "real" 
    and L :: "real" 
  assumes "disturbed_one_step t t1 s s0 x incr p B L"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=16987name=localeelapsed=0.055
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=38889name=showelapsed=0.034
locale stable_one_step =
  fixes t1 :: "real" 
    and x :: "real \<Rightarrow> 'a" 
    and incr :: "real \<Rightarrow> real \<Rightarrow> 'a \<Rightarrow> 'a" 
    and p :: "nat" 
    and B :: "real" 
    and r :: "real" 
    and L :: "real" 
    and t :: "nat \<Rightarrow> real" 
    and s :: "real \<Rightarrow> real \<Rightarrow> 'a \<Rightarrow> 'a" 
    and s0 :: "'a" 
  assumes "stable_one_step t1 x incr p B r L t s s0"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=17310name=localeelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=17793name=lemmaelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=40561name=thuselapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=41181name=interpretelapsed=0.039
locale rounded_one_step =
  fixes t :: "nat \<Rightarrow> real" 
    and t1 :: "real" 
    and x :: "real \<Rightarrow> 'a" 
    and incr :: "real \<Rightarrow> real \<Rightarrow> 'a \<Rightarrow> 'a" 
    and p :: "nat" 
    and B :: "real" 
    and r :: "real" 
    and L :: "real" 
    and
    incr' :: "real \<Rightarrow> real \<Rightarrow> 'a \<Rightarrow> 'a" 
    and x0' :: "'a" 
  assumes "rounded_one_step t t1 x incr p B r L incr' x0'"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=22949name=localeelapsed=0.071
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=23395name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=41181name=interpretelapsed=0.039
### theory "One_Step_Method"
### 1.375s elapsed time, 4.788s cpu time, 0.228s GC time
Loading theory "Runge_Kutta" (required by "Ordinary_Differential_Equations" via "Examples" via "Example1" via "Euler_Affine" via "Euler_Affine_Code")
loading_theory = Runge_Kutta
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=41300name=interpretelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=41300name=interpretelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=41411name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=41572name=showelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=42658name=byelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=15970name=byelapsed=0.018
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=43216name=letelapsed=0.040
ML_statistics = :now=1464100154.06tasks_ready=360tasks_pending=14tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=390size_allocation=2833252352size_allocation_free=457505560size_heap=4884267008size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2834264056threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=860.172time_GC=39.724user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=43290name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=43489name=letelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=43687name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=43847name=henceelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=44031name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=44179name=henceelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=44217name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=44408name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=44526name=ultimatelyelapsed=0.309
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=44537name=showelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=44559name=qedelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=45378name=haveelapsed=0.042
ML_statistics = :now=1464100154.82tasks_ready=368tasks_pending=14tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=391size_allocation=2808086528size_allocation_free=2808086528size_heap=4874829824size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2809167704threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=861.704time_GC=39.996user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=45666name=showelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=46123name=henceelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=46147name=letelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=46192name=letelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=46285name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=46540name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=46785name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=46836name=ultimatelyelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=46847name=showelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=46904name=showelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=30name=theoryelapsed=1.328
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=16name=theoryelapsed=1.641
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=47192name=byelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=2022name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=2654name=lemmaelapsed=0.018
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=16394name=byelapsed=0.062
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=6083name=lemmaelapsed=0.021
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=6849name=lemmaelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=47637name=haveelapsed=0.043
ML_statistics = :now=1464100155.32tasks_ready=381tasks_pending=14tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=391size_allocation=2813554688size_allocation_free=2262615216size_heap=4874006528size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2809167704threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=863.304time_GC=39.996user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=7612name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=7771name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=47847name=showelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=9455name=lemmaelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=248name=named_theoremselapsed=0.246
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=48433name=byelapsed=0.124
locale ll_on_open =
  fixes f :: "real \<Rightarrow> 'a \<Rightarrow> 'a" 
    and T :: "real set" 
    and X :: "'a set" 
  assumes "ll_on_open f T X"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=1988name=localeelapsed=0.031
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=48681name=thuselapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=3617name=definitionelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=48792name=thuselapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=3730name=definitionelapsed=0.028
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=3935name=definitionelapsed=0.018
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=3994name=definitionelapsed=0.018
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=4053name=definitionelapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=4134name=definitionelapsed=0.022
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=4263name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=4742name=definitionelapsed=0.019
Found termination order:
  "(\<lambda>p. size (snd (snd (snd (snd (snd (snd p))))))) <*mlex*> {}"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=11421name=funelapsed=0.320
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=5017name=interpretationelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=11636name=primrecelapsed=0.048
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=49577name=byelapsed=0.238
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=11989name=definitionelapsed=0.028
ML_statistics = :now=1464100155.82tasks_ready=429tasks_pending=14tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=391size_allocation=2813554688size_allocation_free=1406403176size_heap=4874006528size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2809167704threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=864.9time_GC=39.996user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=7878name=lemmaelapsed=0.021
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=12096name=definitionelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=49856name=showelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=12229name=definitionelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=11859name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=12330name=definitionelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=16837name=byelapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=50842name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=12947name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=12423name=definitionelapsed=0.020
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=51068name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=12529name=definitionelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=13533name=lemmaelapsed=0.021
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=51673name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=12629name=definitionelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=14956name=lemmaelapsed=0.027
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=12827name=definitionelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=17631name=lemmaelapsed=0.016
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=51825name=obtainelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=13439name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=13753name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=19174name=lemmaelapsed=0.021
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=51825name=obtainelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=20027name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=24098name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=52017name=letelapsed=0.037
locale derivative_set_bounded =
  fixes T :: "real set" 
    and X :: "'a set" 
    and f :: "real \<times> 'a \<Rightarrow> 'a" 
    and
    f' :: "real \<times> 'a \<Rightarrow> real \<times> 'a \<Rightarrow> 'a"
      
    and F :: "('a \<times> 'a) set" 
    and F' :: "'a set" 
  assumes "derivative_set_bounded T X f f' F F'"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=14248name=localeelapsed=0.059
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=25537name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=26008name=lemmaelapsed=0.201
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=14666name=lemmaelapsed=0.209
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=52068name=haveelapsed=0.228
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=26404name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=27066name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=18408name=lemmaelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=27746name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=52263name=thuselapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=52815name=obtainelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=52815name=obtainelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=29085name=lemmaelapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=53600name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=32440name=lemmaelapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=34880name=lemmaelapsed=0.022
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=53694name=haveelapsed=0.045
ML_statistics = :now=1464100156.48tasks_ready=468tasks_pending=14tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=392size_allocation=2756931584size_allocation_free=2756931584size_heap=4886409216size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2757751648threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=867.368time_GC=40.184user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=53957name=finallyelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=41426name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=56338name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=53965name=showelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=56726name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=54353name=obtainelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=59404name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=54353name=obtainelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=62589name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=54491name=thuselapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=18926name=interpretationelapsed=0.336
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=64086name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=54591name=obtainelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=66395name=lemmaelapsed=0.028
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=54591name=obtainelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=81154name=lemmaelapsed=0.028
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=54744name=thuselapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=84340name=lemmaelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=55369name=henceelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=92581name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=55444name=haveelapsed=0.047
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=97531name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=55857name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=55931name=haveelapsed=0.046
ML_statistics = :now=1464100156.98tasks_ready=501tasks_pending=14tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=392size_allocation=2756931584size_allocation_free=1827122592size_heap=4886409216size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2757751648threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=868.964time_GC=40.184user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=56344name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=18926name=interpretationelapsed=0.334
locale two_ll_on_open =
  fixes F :: "real \<Rightarrow> 'a \<Rightarrow> 'a" 
    and T1 :: "real set" 
    and G :: "real \<Rightarrow> 'a \<Rightarrow> 'a" 
    and T2 :: "real set" 
    and X :: "'a set" 
    and J :: "real set" 
    and x0 :: "'a" 
    and e :: "real" 
    and K :: "real" 
  assumes "two_ll_on_open F T1 G T2 X J x0 e K"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=98264name=localeelapsed=0.121
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=98852name=definitionelapsed=0.018
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=56397name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=98886name=definitionelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=56436name=finallyelapsed=0.034
locale auto_ll_on_open =
  fixes f :: "'a \<Rightarrow> 'a" 
    and X :: "'a set" 
  assumes "auto_ll_on_open f X"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=107870name=localeelapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=56444name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=18958name=lemmaelapsed=0.091
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=108128name=sublocaleelapsed=0.025
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=56495name=ultimatelyelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=108827name=definitionelapsed=0.016
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=108879name=definitionelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=56506name=showelapsed=0.034
locale derivative_norm_bounded =
  fixes T :: "real set" 
    and X :: "'a set" 
    and f :: "real \<times> 'a \<Rightarrow> 'a" 
    and
    f' :: "real \<times> 'a \<Rightarrow> real \<times> 'a \<Rightarrow> 'a"
      
    and B :: "real" 
    and B' :: "real" 
  assumes "derivative_norm_bounded T X f f' B B'"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=34474name=localeelapsed=0.056
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=56663name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=108931name=definitionelapsed=0.017
### Additional type variable(s) in specification of "euler_C": 'a
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=109177name=definitionelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=36198name=definitionelapsed=0.020
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=17342name=byelapsed=0.023
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=109215name=lemmaelapsed=0.018
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=36393name=sublocaleelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=37572name=lemmaelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=56992name=byelapsed=0.070
locale grid_from =
  fixes t :: "nat \<Rightarrow> real" 
    and t0 :: "real" 
  assumes "grid_from t t0"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=38607name=localeelapsed=0.028
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=57406name=byelapsed=0.048
locale euler_consistent =
  fixes i :: "'a ivp" 
    and t :: "'b" 
    and X' :: "'a set" 
    and
    B :: "real \<times> 'a \<Rightarrow> real \<times> 'a \<Rightarrow> 'a" 
    and f' :: "real" 
    and B' :: "real" 
    and r :: "real" 
    and e :: "real" 
  assumes "euler_consistent i X' B f' B' r e"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=38676name=localeelapsed=0.072
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=57992name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=39619name=sublocaleelapsed=0.020
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=117653name=lemmaelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=58314name=haveelapsed=0.043
locale max_step1 =
  fixes t :: "nat \<Rightarrow> real" 
    and t1 :: "real" 
    and L :: "real" 
    and B :: "real" 
    and r :: "real" 
  assumes "max_step1 t t1 L B r"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=40488name=localeelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=118189name=lemmaelapsed=0.020
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=58658name=showelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=118963name=lemmaelapsed=0.029
ML_statistics = :now=1464100157.48tasks_ready=541tasks_pending=14tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=392size_allocation=2756931584size_allocation_free=15912752size_heap=4886409216size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2757751648threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=872.152time_GC=40.184user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
locale euler_convergent =
  fixes i :: "'a ivp" 
    and t :: "nat \<Rightarrow> real" 
    and X' :: "'a set" 
    and
    B :: "real \<times> 'a \<Rightarrow> real \<times> 'a \<Rightarrow> 'a" 
    and f' :: "real" 
    and B' :: "real" 
    and r :: "real" 
    and e :: "real" 
  assumes "euler_convergent i t X' B f' B' r e"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=40729name=localeelapsed=0.258
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=120062name=lemmaelapsed=0.203
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=59311name=byelapsed=0.248
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=40845name=sublocaleelapsed=0.029
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=59936name=haveelapsed=0.042
locale compact_continuously_diff =
  fixes T :: "real set" 
    and X :: "'a set" 
    and f :: "real \<times> 'a \<Rightarrow> 'a" 
    and f' :: "'a \<Rightarrow> 'a \<Rightarrow>\<^sub>L 'a" 
  assumes "compact_continuously_diff T X f f'"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=120483name=localeelapsed=0.062
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=121566name=definitionelapsed=0.016
locale ivp_rectangle_bounded_derivative =
  fixes i :: "'a ivp" 
    and e :: "real" 
    and b :: "real" 
    and r :: "real" 
    and B :: "real" 
    and
    f' :: "real \<times> 'a \<Rightarrow> real \<times> 'a \<Rightarrow> 'a"
      
    and B' :: "real" 
  assumes "ivp_rectangle_bounded_derivative i e b r B f' B'"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=41091name=localeelapsed=0.067
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=60107name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=41307name=sublocaleelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=60152name=finallyelapsed=0.037
locale unique_on_compact_continuously_diff =
  fixes t1 :: "real" 
    and f' :: "'a \<Rightarrow> 'a \<Rightarrow>\<^sub>L 'a" 
    and i :: "'a ivp" 
  assumes "unique_on_compact_continuously_diff t1 f' i"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=122517name=localeelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=60160name=showelapsed=0.037
locale c1_on_open =
  fixes f :: "'a \<Rightarrow> 'a" 
    and f' :: "'a \<Rightarrow> 'a \<Rightarrow>\<^sub>L 'a" 
    and X :: "'a set" 
  assumes "c1_on_open f f' X"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=122791name=localeelapsed=0.029
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=41307name=sublocaleelapsed=0.066
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=123991name=sublocaleelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=41562name=sublocaleelapsed=0.092
locale c1_on_open_euclidean =
  fixes f :: "'a \<Rightarrow> 'a" 
    and f' :: "'a \<Rightarrow> 'a \<Rightarrow>\<^sub>L 'a" 
    and X :: "'a set" 
  assumes "c1_on_open_euclidean f f' X"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=124983name=localeelapsed=0.110
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=125125name=definitionelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=125154name=definitionelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=125190name=lemmaelapsed=0.012
ML_statistics = :now=1464100158.12tasks_ready=559tasks_pending=14tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=393size_allocation=2740977664size_allocation_free=1791249272size_heap=4892700672size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2742134000threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=873.756time_GC=40.364user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=126026name=interpretationelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=127158name=definitionelapsed=0.019
locale euler_on_rectangle =
  fixes i :: "'a ivp" 
    and t :: "nat \<Rightarrow> real" 
    and e :: "real" 
    and b :: "real" 
    and r :: "real" 
    and B :: "real" 
    and
    f' :: "real \<times> 'a \<Rightarrow> real \<times> 'a \<Rightarrow> 'a"
      
    and B' :: "real" 
  assumes "euler_on_rectangle i t e b r B f' B'"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=42127name=localeelapsed=0.213
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=127197name=definitionelapsed=0.018
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=153605name=interpretationelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=42319name=sublocaleelapsed=0.110
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=153605name=interpretationelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=155037name=definitionelapsed=0.023
locale euler_on_rectangle =
  fixes i :: "'a ivp" 
    and t :: "nat \<Rightarrow> real" 
    and e :: "real" 
    and b :: "real" 
    and r :: "real" 
    and B :: "real" 
    and
    f' :: "real \<times> 'a \<Rightarrow> real \<times> 'a \<Rightarrow> 'a"
      
    and B' :: "real" 
  assumes "euler_on_rectangle i t e b r B f' B'"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=42573name=contextelapsed=0.091
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=42607name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=156265name=definitionelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=60481name=byelapsed=0.625
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=170745name=lemmaelapsed=0.014
### theory "Flow"
### 4.982s elapsed time, 17.872s cpu time, 0.640s GC time
Loading theory "Linear_ODE" (required by "Ordinary_Differential_Equations")
loading_theory = Linear_ODE
ML_statistics = :now=1464100158.62tasks_ready=583tasks_pending=13tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=393size_allocation=2740977664size_allocation_free=739346808size_heap=4892700672size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2742134000threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=875.348time_GC=40.364user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=22name=theoryelapsed=0.238
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=119name=lemmaelapsed=0.011
locale linear_ivp =
  fixes i :: "'a ivp" 
    and A :: "'a blinop" 
    and s :: "real" 
  assumes "linear_ivp i A s"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=659name=localeelapsed=0.052
### theory "Linear_ODE"
### 0.320s elapsed time, 1.256s cpu time, 0.000s GC time
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=61037name=usingelapsed=0.199
locale euler_rounded_on_rectangle =
  fixes i :: "'a ivp" 
    and t :: "nat \<Rightarrow> real" 
    and t0' :: "real" 
    and e1' :: "real" 
    and e2' :: "real" 
    and x0' :: "'a" 
    and b :: "real" 
    and r :: "real" 
    and B :: "real" 
    and
    f' :: "real \<times> 'a \<Rightarrow> real \<times> 'a \<Rightarrow> 'a"
      
    and B' :: "real" 
    and g :: "real \<times> 'a \<Rightarrow> 'a" 
    and e :: "int" 
  assumes "euler_rounded_on_rectangle i t t0' e1' e2' x0' b r B f' B' g e"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=43452name=localeelapsed=0.684
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=44159name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=61094name=byelapsed=0.067
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=61527name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=61591name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=61855name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=44458name=sublocaleelapsed=0.148
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=62149name=henceelapsed=0.043
ML_statistics = :now=1464100159.3tasks_ready=591tasks_pending=13tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=394size_allocation=2724200448size_allocation_free=2724200448size_heap=4889554944size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2725007472threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=876.832time_GC=40.56user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=60821name=byelapsed=0.833
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=62362name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=62435name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=63244name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=63306name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=62582name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=44576name=sublocaleelapsed=0.153
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=62640name=finallyelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=63570name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=62648name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=63862name=henceelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=62722name=henceelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64059name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=62764name=thuselapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64146name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=65294name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=45760name=sublocaleelapsed=0.143
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64300name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=65346name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64360name=finallyelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=65545name=fixelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64368name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=45976name=sublocaleelapsed=0.109
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=65577name=henceelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64442name=henceelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=45976name=sublocaleelapsed=0.018
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=65736name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64484name=henceelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=65804name=finallyelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64612name=henceelapsed=0.037
ML_statistics = :now=1464100159.8tasks_ready=615tasks_pending=13tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=394size_allocation=2724200448size_allocation_free=2066993328size_heap=4889554944size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2725007472threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=878.428time_GC=40.56user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=65812name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64694name=thuselapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=46108name=sublocaleelapsed=0.116
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=65849name=ultimatelyelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=66495name=showelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=65860name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=67084name=showelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=66055name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=46347name=sublocaleelapsed=0.113
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68157name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=66097name=finallyelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=66105name=showelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68209name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=69443name=haveelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68419name=fixelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=69522name=showelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68451name=henceelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=46555name=sublocaleelapsed=0.122
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68610name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=69689name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=69801name=fixelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68678name=finallyelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68686name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=69962name=haveelapsed=0.036
locale euler_rounded_on_rectangle =
  fixes i :: "'a ivp" 
    and t :: "nat \<Rightarrow> real" 
    and t0' :: "real" 
    and e1' :: "real" 
    and e2' :: "real" 
    and x0' :: "'a" 
    and b :: "real" 
    and r :: "real" 
    and B :: "real" 
    and
    f' :: "real \<times> 'a \<Rightarrow> real \<times> 'a \<Rightarrow> 'a"
      
    and B' :: "real" 
    and g :: "real \<times> 'a \<Rightarrow> 'a" 
    and e :: "int" 
  assumes "euler_rounded_on_rectangle i t t0' e1' e2' x0' b r B f' B' g e"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=47792name=contextelapsed=0.113
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=47834name=lemmaelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68719name=henceelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=48591name=lemmaelapsed=0.010
### theory "Runge_Kutta"
### 6.368s elapsed time, 22.788s cpu time, 0.836s GC time
Loading theory "Euler_Affine_Code" (required by "Ordinary_Differential_Equations" via "Examples" via "Example1" via "Euler_Affine")
loading_theory = Euler_Affine_Code
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=70035name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68773name=ultimatelyelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=70114name=showelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68788name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=70667name=haveelapsed=0.037
ML_statistics = :now=1464100160.3tasks_ready=638tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=394size_allocation=2724200448size_allocation_free=856863760size_heap=4889554944size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2725007472threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=881.624time_GC=40.56user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68989name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=70779name=showelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=69031name=finallyelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=69039name=showelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=71750name=applyelapsed=0.057
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=72203name=applyelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=71854name=byelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=72318name=byelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=74259name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=74415name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=73212name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=74586name=byelapsed=0.026
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=73392name=henceelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=74828name=showelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=74908name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=73637name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=74935name=showelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=73839name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=76325name=byelapsed=0.020
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=73926name=finallyelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=73936name=showelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=73986name=showelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=76625name=byelapsed=0.103
ML_statistics = :now=1464100160.81tasks_ready=631tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=394size_allocation=2724200448size_allocation_free=301506936size_heap=4889554944size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2725007472threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=883.224time_GC=40.56user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
linarith_split_limit exceeded (current value is 9)
linarith_split_limit exceeded (current value is 9)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=77147name=applyelapsed=0.320
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=77201name=applyelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=77262name=applyelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=76948name=applyelapsed=0.381
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=77388name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=77030name=byelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=77918name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=78328name=byelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=77715name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=79577name=byelapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=77787name=finallyelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=374name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=77795name=showelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=744name=haveelapsed=0.035
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### Legacy feature! Old 'def' command -- use 'define' instead
### Legacy feature! Old 'def' command -- use 'define' instead
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### Legacy feature! Old 'def' command -- use 'define' instead
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### Legacy feature! Old 'def' command -- use 'define' instead
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### Legacy feature! Old 'def' command -- use 'define' instead
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ML_statistics = :now=1464100164.11tasks_ready=714tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=396size_allocation=2672820224size_allocation_free=1606205680size_heap=4888506368size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2673215400threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=894.12time_GC=40.916user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=4591name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=5706name=letelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=4900name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=5767name=letelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=5819name=letelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=17726name=byelapsed=0.068
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=5860name=letelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=18363name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=5906name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=18413name=interpretelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=7580name=fixelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=18413name=interpretelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=7668name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=18606name=obtainelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=7817name=fixelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=18606name=obtainelapsed=0.037
### Legacy feature! Old 'def' command -- use 'define' instead
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=7899name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=18777name=henceelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=8139name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=18874name=henceelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=8364name=haveelapsed=0.055
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=19056name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=8669name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=19101name=finallyelapsed=0.035
ML_statistics = :now=1464100164.62tasks_ready=726tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=396size_allocation=2672820224size_allocation_free=246775048size_heap=4888506368size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2673215400threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=897.316time_GC=40.916user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=19111name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=8760name=henceelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=19243name=thuselapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=8967name=ultimatelyelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=19963name=haveelapsed=0.293
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=8984name=haveelapsed=0.303
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=14716name=fixelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=20220name=obtainelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=14753name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=20220name=obtainelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=14839name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=20302name=henceelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=14884name=fromelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=20368name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=15008name=haveelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=20502name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=15779name=henceelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=20558name=letelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=15933name=henceelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=20603name=haveelapsed=0.037
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=20786name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=16084name=henceelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=16262name=henceelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=20915name=obtainelapsed=0.040
ML_statistics = :now=1464100165.36tasks_ready=744tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=397size_allocation=2644508672size_allocation_free=1906948936size_heap=4867534848size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2644935400threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=899.492time_GC=41.168user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=16437name=fixelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=20915name=obtainelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=21054name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=16468name=letelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=21118name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=16513name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=21211name=fixelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=16623name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=21254name=henceelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=16699name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=21334name=henceelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=16792name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=16831name=finallyelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=21467name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=16839name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=21711name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=278name=recordelapsed=3.364
locale approximate_sets0 =
  fixes appr_of_ivl :: "'a \<Rightarrow> 'a \<Rightarrow> 'b" 
    and msum_appr :: "'b \<Rightarrow> 'b \<Rightarrow> 'b" 
    and set_of_appr :: "'b \<Rightarrow> 'a set" 
    and set_of_apprs :: "'b list \<Rightarrow> 'a list set" 
    and inf_of_appr :: "'b \<Rightarrow> 'a" 
    and sup_of_appr :: "'b \<Rightarrow> 'a" 
    and
    add_appr ::
      "('a, 'b, 'c) options
       \<Rightarrow> 'b \<Rightarrow> 'b
\<Rightarrow> 'b list \<Rightarrow> 'b option"
      
    and
    scale_appr ::
      "('a, 'b, 'c) options
       \<Rightarrow> real
                     \<Rightarrow> real
                                   \<Rightarrow> 'b
           \<Rightarrow> 'b list \<Rightarrow> 'b option"
      
    and
    scale_appr_ivl ::
      "('a, 'b, 'c) options
       \<Rightarrow> real
                     \<Rightarrow> real
                                   \<Rightarrow> 'b
           \<Rightarrow> 'b list \<Rightarrow> 'b option"
      
    and
    split_appr ::
      "('a, 'b, 'c) options \<Rightarrow> 'b \<Rightarrow> 'b list" 
    and disjoint_apprs :: "'b \<Rightarrow> 'b \<Rightarrow> bool" 
    and
    inter_appr_plane ::
      "'b \<Rightarrow> 'a \<Rightarrow> real \<Rightarrow> 'b" 
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=817name=localeelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=16897name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=21787name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=1554name=definitionelapsed=0.018
locale approximate_ivp0 =
  fixes appr_of_ivl :: "'a \<Rightarrow> 'a \<Rightarrow> 'b" 
    and msum_appr :: "'b \<Rightarrow> 'b \<Rightarrow> 'b" 
    and set_of_appr :: "'b \<Rightarrow> 'a set" 
    and set_of_apprs :: "'b list \<Rightarrow> 'a list set" 
    and inf_of_appr :: "'b \<Rightarrow> 'a" 
    and sup_of_appr :: "'b \<Rightarrow> 'a" 
    and
    add_appr ::
      "('a, 'b, 'c) options
       \<Rightarrow> 'b \<Rightarrow> 'b
\<Rightarrow> 'b list \<Rightarrow> 'b option"
      
    and
    scale_appr ::
      "('a, 'b, 'c) options
       \<Rightarrow> real
                     \<Rightarrow> real
                                   \<Rightarrow> 'b
           \<Rightarrow> 'b list \<Rightarrow> 'b option"
      
    and
    scale_appr_ivl ::
      "('a, 'b, 'c) options
       \<Rightarrow> real
                     \<Rightarrow> real
                                   \<Rightarrow> 'b
           \<Rightarrow> 'b list \<Rightarrow> 'b option"
      
    and
    split_appr ::
      "('a, 'b, 'c) options \<Rightarrow> 'b \<Rightarrow> 'b list" 
    and disjoint_apprs :: "'b \<Rightarrow> 'b \<Rightarrow> bool" 
    and
    inter_appr_plane ::
      "'b \<Rightarrow> 'a \<Rightarrow> real \<Rightarrow> 'b" 
    and
    ode_approx ::
      "('a, 'b, 'c) options \<Rightarrow> 'b list \<Rightarrow> 'b option" 
    and
    ode_d_approx ::
      "('a, 'b, 'c) options \<Rightarrow> 'b list \<Rightarrow> 'b option" 
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=1808name=localeelapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=17093name=thuselapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=21845name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=19764name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=2509name=definitionelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=19923name=byelapsed=0.022
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=22195name=haveelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=20434name=henceelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=22567name=finallyelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=20627name=thuselapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=22575name=haveelapsed=0.042
ML_statistics = :now=1464100165.86tasks_ready=759tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=397size_allocation=2644508672size_allocation_free=1234424336size_heap=4867534848size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2644935400threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=901.088time_GC=41.168user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=20846name=interpretelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=22667name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=22814name=alsoelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=20939name=showelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=22819name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=21472name=interpretelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=23179name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=21559name=showelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=23272name=finallyelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=21849name=interpretelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=23280name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=21993name=showelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=23348name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=22380name=interpretelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=23472name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=22477name=showelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=23737name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=23270name=interpretelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=23889name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=23367name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=24006name=ultimatelyelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=23478name=thuselapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=24017name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=24169name=ultimatelyelapsed=0.034
Found termination order:
  "(\<lambda>p. size (fst (snd (snd (snd p))))) <*mlex*> {}"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=24182name=showelapsed=0.035
ML_statistics = :now=1464100166.36tasks_ready=785tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=397size_allocation=2644508672size_allocation_free=590261800size_heap=4867534848size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2644935400threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=902.688time_GC=41.168user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=2756name=funelapsed=0.658
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=24231name=interpretelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=24316name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=23839name=byelapsed=0.376
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=24419name=haveelapsed=0.220
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=526name=haveelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=24577name=showelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=737name=obtainelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=25039name=interpretelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=737name=obtainelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=25145name=showelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=1303name=haveelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=868name=haveelapsed=0.053
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=1514name=obtainelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=1096name=ultimatelyelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=1514name=obtainelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=1107name=showelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=1635name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=2200name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=1808name=ultimatelyelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=2281name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=1819name=showelapsed=0.036
ML_statistics = :now=1464100167tasks_ready=808tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=398size_allocation=2576351232size_allocation_free=2576351232size_heap=4887457792size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2577113232threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=903.94time_GC=41.344user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=2688name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=3609name=obtainelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=2824name=obtainelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=3609name=obtainelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=2824name=obtainelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=3759name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=2964name=henceelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=4060name=finallyelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=3106name=henceelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=4068name=showelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=3227name=ultimatelyelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=4246name=byelapsed=0.028
Found termination order:
  "(\<lambda>p. size (snd (snd (snd (snd p))))) <*mlex*> {}"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=3238name=showelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=26316name=byelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=3492name=funelapsed=0.883
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=4839name=thuselapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=26936name=interpretelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=26045name=byelapsed=0.154
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=26936name=interpretelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=26979name=fixelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=27218name=byelapsed=0.061
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=27087name=showelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=27693name=interpretelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=4246name=definitionelapsed=0.213
ML_statistics = :now=1464100167.51tasks_ready=811tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=398size_allocation=2576351232size_allocation_free=936694688size_heap=4887457792size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2577113232threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=907.124time_GC=41.344user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=27776name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=28889name=byelapsed=0.067
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=27836name=showelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=29095name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=27969name=interpretelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=29282name=henceelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=27969name=interpretelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=29466name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=28017name=fixelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Optimize_Float.thyoffset=446name=byelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Optimize_Float.thyoffset=601name=byelapsed=0.017
### Ignoring duplicate rewrite rule:
### of_nat (?m1 ^ ?n1) \<equiv> of_nat ?m1 ^ ?n1
### Ignoring duplicate rewrite rule:
### of_nat (?m1 * ?n1) \<equiv> of_nat ?m1 * of_nat ?n1
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=28083name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Optimize_Float.thyoffset=930name=byelapsed=0.031
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=28147name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=28350name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=29817name=byelapsed=0.067
Found termination order: "{}"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=28523name=ultimatelyelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=30023name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=5585name=funelapsed=0.356
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=28536name=showelapsed=0.036
### Ignoring duplicate rewrite rule:
### of_nat (?m1 ^ ?n1) \<equiv> of_nat ?m1 ^ ?n1
### Ignoring duplicate rewrite rule:
### of_nat (?m1 * ?n1) \<equiv> of_nat ?m1 * of_nat ?n1
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=30208name=henceelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=5943name=primrecelapsed=0.050
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=6213name=definitionelapsed=0.020
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=30392name=showelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=20806name=byelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=6314name=primrecelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Optimize_Float.thyoffset=1390name=byelapsed=0.089
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=21048name=applyelapsed=0.021
ML_statistics = :now=1464100168.17tasks_ready=826tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=399size_allocation=2567962624size_allocation_free=2567962624size_heap=4884312064size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2569716456threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=909.24time_GC=41.524user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=21072name=applyelapsed=0.199
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=6661name=definitionelapsed=0.213
### No equation for constructor []
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=21157name=byelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=6732name=primrecelapsed=0.031
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Optimize_Float.thyoffset=1729name=byelapsed=0.282
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=6962name=definitionelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=31452name=subgoalelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=22150name=byelapsed=0.022
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=31503name=subgoalelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=7400name=definitionelapsed=0.068
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=32030name=fixelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=31503name=subgoalelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=32055name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=32250name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=21647name=byelapsed=0.094
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=32484name=showelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=33898name=fixelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=7798name=definitionelapsed=0.181
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=22302name=byelapsed=0.068
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=33941name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=36029name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=34763name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=36100name=showelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=35695name=showelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=36270name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=21798name=byelapsed=0.027
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=36363name=showelapsed=0.037
ML_statistics = :now=1464100168.67tasks_ready=830tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=399size_allocation=2567962624size_allocation_free=1756384296size_heap=4884312064size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2569716456threads_in_ML=4threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=910.836time_GC=41.524user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=24233name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=21883name=byelapsed=0.076
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=38248name=byelapsed=0.076
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=38678name=thuselapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=39374name=showelapsed=0.042
Found termination order:
  "(\<lambda>p.
       size_list
        (size_option
          (\<lambda>p.
              size_list (\<lambda>p. size (snd (snd p)))
               (snd (snd (snd p)))))
        (snd p)) <*mlex*>
   {}"
### Ignoring duplicate rewrite rule:
### open {} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed UNIV \<equiv> True
### Ignoring duplicate rewrite rule:
### closed ?S1 \<Longrightarrow> closed (insert ?a1 ?S1) \<equiv> True
### Ignoring duplicate rewrite rule:
### open {?a1<..} \<equiv> True
### Ignoring duplicate rewrite rule:
### open {..<?a1} \<equiv> True
### Ignoring duplicate rewrite rule:
### open {?a1<..<?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {..?a1} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {?a1..} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {?a1..?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous bot ?f1 \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous (at ?x1 within ?S1) (\<lambda>x. x) \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous ?F1 (\<lambda>x. ?c1) \<equiv> True
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=9543name=funelapsed=0.428
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; ?f1 ?a1 \<noteq> (0::?'b1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. inverse (?f1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; ?g1 ?a1 \<noteq> (0::?'b1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. ?f1 x / ?g1 x) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; 0 < ?f1 ?a1; ?f1 ?a1 \<noteq> 1;
###  0 < ?g1 ?a1\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. log (?f1 x) (?g1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; ?f1 ?a1 \<noteq> 0\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. ?f1 x powr ?g1 x) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; cos (?f1 ?a1) \<noteq> (0::?'a1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. tan (?f1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; sin (?f1 ?a1) \<noteq> (0::?'a1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. cot (?f1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous ?F1 ?g1 \<Longrightarrow>
### continuous ?F1 (\<lambda>x. cnj (?g1 x)) \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous_on ?s1 ?g1 \<Longrightarrow>
### continuous_on ?s1 (\<lambda>x. cnj (?g1 x)) \<equiv> True
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=37602name=byelapsed=0.359
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=9894name=definitionelapsed=0.126
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=40541name=henceelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=10398name=definitionelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=40626name=thuselapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=10528name=definitionelapsed=0.035
ML_statistics = :now=1464100169.17tasks_ready=837tasks_pending=12tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=399size_allocation=2567962624size_allocation_free=897086856size_heap=4884312064size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2569716456threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=912.432time_GC=41.524user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=41055name=thuselapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=10734name=lemmaelapsed=0.047
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=41218name=fixelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=11200name=definitionelapsed=0.028
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=11345name=definitionelapsed=0.022
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=41275name=henceelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=11423name=definitionelapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=41429name=fixelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=11571name=primrecelapsed=0.063
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=41596name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=11846name=definitionelapsed=0.037
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locale aform_approximate_sets0
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=48832name=interpretelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=47734name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=49065name=showelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=47847name=ultimatelyelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=49232name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=47860name=showelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=49286name=obtainelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=49286name=obtainelapsed=0.038
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=57369name=showelapsed=0.034
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=27867name=byelapsed=0.017
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locale aform_approximate_ivp0 =
  fixes
    ode_approx ::
      "('a, 'a \<times> 'a pdevs,
        real \<times>
        (real \<times>
         'a \<times> 'a \<times> real \<times> 'a \<times> 'a) list) options
       \<Rightarrow> ('a \<times> 'a pdevs) list
                     \<Rightarrow> ('a \<times> 'a pdevs) option"
      
    and
    ode_d_approx ::
      "('a, 'a \<times> 'a pdevs,
        real \<times>
        (real \<times>
         'a \<times> 'a \<times> real \<times> 'a \<times> 'a) list) options
       \<Rightarrow> ('a \<times> 'a pdevs) list
                     \<Rightarrow> ('a \<times> 'a pdevs) option"
      
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=67501name=fixelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=68243name=haveelapsed=0.039
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=19710name=interpretationelapsed=0.578
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=69401name=thuselapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=19763name=definitionelapsed=0.084
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=20570name=definitionelapsed=0.044
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=28357name=byelapsed=0.166
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=20972name=definitionelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=28572name=byelapsed=0.016
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=69539name=fixelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=70982name=byelapsed=0.379
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=69547name=assumeelapsed=0.374
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=71194name=interpretelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=69609name=henceelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=21200name=primrecelapsed=0.460
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=71272name=showelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=69766name=haveelapsed=0.041
### Ignoring duplicate introduction (intro)
### ((\<lambda>x. x) \<longlongrightarrow> ?a) (at ?a within ?s)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=70010name=showelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=72222name=henceelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=72287name=henceelapsed=0.039
ML_statistics = :now=1464100172.81tasks_ready=883tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=402size_allocation=2493513728size_allocation_free=2493513728size_heap=4850757632size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2495358400threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=924.208time_GC=42.188user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=28861name=byelapsed=0.071
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=72393name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=72802name=byelapsed=0.028
Found termination order: "{}"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=21593name=funelapsed=0.190
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=72478name=finallyelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=73069name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=72486name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=73196name=showelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=29927name=byelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=30399name=byelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=374name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=609name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=642name=ultimatelyelapsed=0.031
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=401name=finallyelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=655name=showelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=409name=showelapsed=0.035
Found termination order: "(\<lambda>p. length (snd p)) <*mlex*> {}"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=21710name=funelapsed=0.226
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=1238name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=1018name=byelapsed=0.026
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=21846name=definitionelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=1510name=byelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=753name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=1744name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=22005name=definitionelapsed=0.031
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=816name=ultimatelyelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=1247name=thuselapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=22083name=definitionelapsed=0.045
### theory "Euler_Affine_Code"
### 12.992s elapsed time, 46.728s cpu time, 1.628s GC time
Loading theory "Euler_Affine" (required by "Ordinary_Differential_Equations" via "Examples" via "Example1")
loading_theory = Euler_Affine
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=829name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=2516name=applyelapsed=0.025
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=2552name=applyelapsed=0.020
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=2993name=haveelapsed=0.039
ML_statistics = :now=1464100173.31tasks_ready=885tasks_pending=11tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=402size_allocation=2493513728size_allocation_free=1706251736size_heap=4850757632size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2495358400threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=925.792time_GC=42.188user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=2621name=byelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=3074name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=3111name=finallyelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=3483name=obtainelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=3119name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=3483name=obtainelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=3185name=thuselapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=3632name=fixelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=3693name=henceelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=4470name=byelapsed=0.070
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=3962name=henceelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=4809name=byelapsed=0.022
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=4048name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=4286name=thuselapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=34188name=byelapsed=0.196
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=5282name=obtainelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=34345name=byelapsed=0.192
ML_statistics = :now=1464100173.81tasks_ready=887tasks_pending=11tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=402size_allocation=2493513728size_allocation_free=161642032size_heap=4850757632size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2495358400threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=928.98time_GC=42.188user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=6032name=haveelapsed=0.031
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=5282name=obtainelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=6100name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=5401name=henceelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=5717name=thuselapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=6238name=obtainelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=6238name=obtainelapsed=0.034
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=9764name=obtainelapsed=0.247
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=6376name=haveelapsed=0.232
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=9764name=obtainelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=6463name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=10023name=obtainelapsed=0.048
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=6536name=obtainelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=10023name=obtainelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=6536name=obtainelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=6719name=henceelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=10244name=interpretelapsed=0.069
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=7014name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=7249name=obtainelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=7249name=obtainelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=7396name=haveelapsed=0.036
ML_statistics = :now=1464100174.5tasks_ready=901tasks_pending=11tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=403size_allocation=2387607552size_allocation_free=2387607552size_heap=4879069184size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2389330176threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=929.532time_GC=42.38user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=7633name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=10244name=interpretelapsed=0.164
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=7753name=ultimatelyelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=10386name=fixelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=7764name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=10426name=henceelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=9528name=showelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=10512name=henceelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=12064name=byelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=10692name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=12387name=obtainelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=10774name=finallyelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=12387name=obtainelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=10782name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=12611name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=10894name=showelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=12721name=henceelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=15693name=obtainelapsed=0.047
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=12994name=obtainelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=15693name=obtainelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=15866name=showelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=12994name=obtainelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=13210name=interpretelapsed=0.062
ML_statistics = :now=1464100175tasks_ready=911tasks_pending=11tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=403size_allocation=2387607552size_allocation_free=1341901472size_heap=4879069184size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2389330176threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=932.736time_GC=42.38user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=34579name=byelapsed=0.138
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=16284name=obtainelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=13210name=interpretelapsed=0.153
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=16284name=obtainelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=13352name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=16462name=interpretelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=13506name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=16462name=interpretelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=13604name=finallyelapsed=0.031
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=16579name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=13612name=interpretelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=16638name=thuselapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=13612name=interpretelapsed=0.051
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=13655name=fixelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=13665name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=13749name=henceelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=13835name=henceelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=34736name=byelapsed=0.180
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=14015name=haveelapsed=0.032
ML_statistics = :now=1464100175.5tasks_ready=919tasks_pending=11tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=403size_allocation=2387607552size_allocation_free=629740216size_heap=4879069184size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2389330176threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=934.332time_GC=42.38user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=17080name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=14097name=finallyelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=17223name=obtainelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=14105name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=17223name=obtainelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=14217name=showelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=2784name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=17265name=henceelapsed=0.039
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=17305name=thuselapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=17409name=fixelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=27856name=interpretelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=27856name=interpretelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=17588name=henceelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=27949name=interpretelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=17656name=ultimatelyelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=27949name=interpretelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=17667name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=28042name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=17733name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=31479name=thuselapsed=0.033
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=18842name=obtainelapsed=0.039
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=18842name=obtainelapsed=0.036
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=3939name=haveelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=40name=theoryelapsed=3.112
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=360name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=19014name=fixelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=3965name=henceelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=1117name=definitionelapsed=0.021
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=19043name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=1229name=definitionelapsed=0.027
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=4061name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=1424name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=21792name=fixelapsed=0.033
### Missing patterns in function definition:
### Pair_of_list [] = undefined
### \<And>v. Pair_of_list [v] = undefined
### \<And>v vb vd ve. Pair_of_list (v # vb # vd # ve) = undefined
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=22163name=interpretelapsed=0.037
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=22163name=interpretelapsed=0.038
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=5217name=haveelapsed=0.028
Found termination order: "{}"
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=25870name=thuselapsed=0.031
ML_statistics = :now=1464100176.7tasks_ready=971tasks_pending=11tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=404size_allocation=2397044736size_allocation_free=1881988112size_heap=4890603520size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2398354560threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=938.076time_GC=42.58user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=5378name=showelapsed=0.029
### Legacy feature! Old 'def' command -- use 'define' instead
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=31987name=showelapsed=0.031
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=26919name=interpretelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=26919name=interpretelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=36302name=obtainelapsed=0.051
locale approximate_sets =
  fixes appr_of_ivl :: "'a \<Rightarrow> 'a \<Rightarrow> 'b" 
    and msum_appr :: "'b \<Rightarrow> 'b \<Rightarrow> 'b" 
    and set_of_appr :: "'b \<Rightarrow> 'a set" 
    and set_of_apprs :: "'b list \<Rightarrow> 'a list set" 
    and inf_of_appr :: "'b \<Rightarrow> 'a" 
    and sup_of_appr :: "'b \<Rightarrow> 'a" 
    and
    add_appr ::
      "('a, 'b, 'c) options
       \<Rightarrow> 'b \<Rightarrow> 'b
\<Rightarrow> 'b list \<Rightarrow> 'b option"
      
    and
    scale_appr ::
      "('a, 'b, 'c) options
       \<Rightarrow> real
                     \<Rightarrow> real
                                   \<Rightarrow> 'b
           \<Rightarrow> 'b list \<Rightarrow> 'b option"
      
    and
    scale_appr_ivl ::
      "('a, 'b, 'c) options
       \<Rightarrow> real
                     \<Rightarrow> real
                                   \<Rightarrow> 'b
           \<Rightarrow> 'b list \<Rightarrow> 'b option"
      
    and
    split_appr ::
      "('a, 'b, 'c) options \<Rightarrow> 'b \<Rightarrow> 'b list" 
    and disjoint_apprs :: "'b \<Rightarrow> 'b \<Rightarrow> bool" 
    and
    inter_appr_plane ::
      "'b \<Rightarrow> 'a \<Rightarrow> real \<Rightarrow> 'b" 
  assumes
    "approximate_sets appr_of_ivl msum_appr set_of_appr set_of_apprs
      inf_of_appr sup_of_appr add_appr scale_appr scale_appr_ivl split_appr
      disjoint_apprs"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=1804name=localeelapsed=0.202
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=27027name=haveelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=36302name=obtainelapsed=0.026
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=27113name=haveelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=36678name=obtainelapsed=0.031
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=36678name=obtainelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=27367name=showelapsed=0.031
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=36746name=henceelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=6593name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=36798name=haveelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=6820name=finallyelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=36919name=haveelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=6828name=showelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=36978name=letelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=6869name=haveelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=37011name=letelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=6952name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=37037name=letelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=7023name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=37103name=haveelapsed=0.040
ML_statistics = :now=1464100177.2tasks_ready=997tasks_pending=11tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=404size_allocation=2397044736size_allocation_free=1260761112size_heap=4890603520size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2398354560threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=939.672time_GC=42.58user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=7116name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=7212name=ultimatelyelapsed=0.027
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=37357name=interpretelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=7223name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=37357name=interpretelapsed=0.064
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=7389name=haveelapsed=0.055
locale approximate_ivp =
  fixes appr_of_ivl :: "'a \<Rightarrow> 'a \<Rightarrow> 'b" 
    and msum_appr :: "'b \<Rightarrow> 'b \<Rightarrow> 'b" 
    and set_of_appr :: "'b \<Rightarrow> 'a set" 
    and set_of_apprs :: "'b list \<Rightarrow> 'a list set" 
    and inf_of_appr :: "'b \<Rightarrow> 'a" 
    and sup_of_appr :: "'b \<Rightarrow> 'a" 
    and
    add_appr ::
      "('a, 'b, 'c) options
       \<Rightarrow> 'b \<Rightarrow> 'b
\<Rightarrow> 'b list \<Rightarrow> 'b option"
      
    and
    scale_appr ::
      "('a, 'b, 'c) options
       \<Rightarrow> real
                     \<Rightarrow> real
                                   \<Rightarrow> 'b
           \<Rightarrow> 'b list \<Rightarrow> 'b option"
      
    and
    scale_appr_ivl ::
      "('a, 'b, 'c) options
       \<Rightarrow> real
                     \<Rightarrow> real
                                   \<Rightarrow> 'b
           \<Rightarrow> 'b list \<Rightarrow> 'b option"
      
    and
    split_appr ::
      "('a, 'b, 'c) options \<Rightarrow> 'b \<Rightarrow> 'b list" 
    and disjoint_apprs :: "'b \<Rightarrow> 'b \<Rightarrow> bool" 
    and
    inter_appr_plane ::
      "'b \<Rightarrow> 'a \<Rightarrow> real \<Rightarrow> 'b" 
    and
    ode_approx ::
      "('a, 'b, 'c) options \<Rightarrow> 'b list \<Rightarrow> 'b option" 
    and
    ode_d_approx ::
      "('a, 'b, 'c) options \<Rightarrow> 'b list \<Rightarrow> 'b option" 
    and ode :: "'a \<Rightarrow> 'a" 
    and ode_d :: "'a \<Rightarrow> 'a \<Rightarrow> 'a" 
  assumes
    "approximate_ivp appr_of_ivl msum_appr set_of_appr set_of_apprs
      inf_of_appr sup_of_appr add_appr scale_appr scale_appr_ivl split_appr
      disjoint_apprs ode_approx ode_d_approx ode ode_d"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=5286name=localeelapsed=0.451
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=37646name=obtainelapsed=0.066
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=7745name=haveelapsed=0.051
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=6159name=lemmaelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=37646name=obtainelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=8939name=lemmaelapsed=0.021
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=9734name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=8052name=haveelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=38087name=interpretelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=10016name=lemmaelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=11559name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=8329name=haveelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=11901name=lemmaelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=13089name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=38087name=interpretelapsed=0.067
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=13802name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=8577name=haveelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=38158name=letelapsed=0.027
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=16107name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=38186name=letelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=8877name=haveelapsed=0.029
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=38217name=interpretelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=9687name=finallyelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=16662name=definitionelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=16853name=lemmaelapsed=0.204
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=38217name=interpretelapsed=0.236
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=15878name=ultimatelyelapsed=0.037
Found termination order: "{}"
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### Legacy feature! Old 'def' command -- use 'define' instead
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### Legacy feature! Old 'def' command -- use 'define' instead
### Legacy feature! Old 'def' command -- use 'define' instead
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locale aform_approximate_ivp =
  fixes
    ode_approx ::
      "('a, 'a \<times> 'a pdevs,
        real \<times>
        (real \<times>
         'a \<times> 'a \<times> real \<times> 'a \<times> 'a) list) options
       \<Rightarrow> ('a \<times> 'a pdevs) list
                     \<Rightarrow> ('a \<times> 'a pdevs) option"
      
    and
    ode_d_approx ::
      "('a, 'a \<times> 'a pdevs,
        real \<times>
        (real \<times>
         'a \<times> 'a \<times> real \<times> 'a \<times> 'a) list) options
       \<Rightarrow> ('a \<times> 'a pdevs) list
                     \<Rightarrow> ('a \<times> 'a pdevs) option"
      
    and ode :: "'a \<Rightarrow> 'a" 
    and ode_d :: "'a \<Rightarrow> 'a \<Rightarrow> 'a" 
  assumes "aform_approximate_ivp ode_approx ode_d_approx ode ode_d"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=48091name=localeelapsed=0.654
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=48654name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=49063name=lemmaelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=50022name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=41689name=byelapsed=0.456
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=50297name=lemmaelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=43423name=byelapsed=0.016
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=50572name=lemmaelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=50814name=lemmaelapsed=0.031
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=43737name=byelapsed=0.046
### Ignoring duplicate introduction (intro)
### ((\<lambda>x. x) \<longlongrightarrow> ?a) (at ?a within ?s)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=51200name=lemmaelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=52280name=lemmaelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=44081name=byelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=52527name=lemmaelapsed=0.031
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=44205name=byelapsed=0.021
### theory "Euler_Affine"
### 7.168s elapsed time, 25.932s cpu time, 0.820s GC time
Loading theory "Example1" (required by "Ordinary_Differential_Equations" via "Examples")
loading_theory = Example1
### Ignoring duplicate introduction (intro)
### ((\<lambda>x. x) \<longlongrightarrow> ?a) (at ?a within ?s)
Loading theory "Example3" (required by "Ordinary_Differential_Equations" via "Examples")
loading_theory = Example3
ML_statistics = :now=1464100180.71tasks_ready=1100tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=407size_allocation=2295332864size_allocation_free=2295332864size_heap=4893749248size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2296834856threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=952.092time_GC=43.14user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example1.thyoffset=20name=theoryelapsed=0.729
ML_statistics = :now=1464100181.21tasks_ready=1100tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=407size_allocation=2295332864size_allocation_free=1663119160size_heap=4893749248size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2296834856threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=953.688time_GC=43.14user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=41543name=byelapsed=2.177
Loading theory "Example_Exp" (required by "Ordinary_Differential_Equations" via "Examples")
loading_theory = Example_Exp
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example1.thyoffset=162name=approximate_affineelapsed=0.105
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example1.thyoffset=429name=approximate_affineelapsed=0.126
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example1.thyoffset=607name=abbreviationelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example1.thyoffset=714name=interpretationelapsed=0.038
ML_statistics = :now=1464100181.71tasks_ready=1101tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=407size_allocation=2295332864size_allocation_free=944469288size_heap=4893749248size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2296834856threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=955.276time_GC=43.14user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example1.thyoffset=714name=interpretationelapsed=0.312
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example1.thyoffset=1338name=definitionelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example1.thyoffset=1544name=definitionelapsed=0.063
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Exp.thyoffset=1name=theoryelapsed=0.608
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Exp.thyoffset=180name=approximate_affineelapsed=0.403
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=1name=theoryelapsed=1.862
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=160name=approximate_affineelapsed=0.110
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Exp.thyoffset=438name=approximate_affineelapsed=0.127
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Exp.thyoffset=623name=abbreviationelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Exp.thyoffset=732name=interpretationelapsed=0.033
ML_statistics = :now=1464100182.51tasks_ready=1104tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=408size_allocation=2291138560size_allocation_free=2291138560size_heap=4853903360size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2292089912threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=957.392time_GC=43.436user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=429name=approximate_affineelapsed=0.123
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=597name=abbreviationelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=704name=interpretationelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Exp.thyoffset=732name=interpretationelapsed=0.307
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Exp.thyoffset=1327name=definitionelapsed=0.047
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Exp.thyoffset=1584name=definitionelapsed=0.061
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=704name=interpretationelapsed=0.309
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=1302name=definitionelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example1.thyoffset=1686name=lemmaelapsed=1.097
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=1508name=definitionelapsed=0.058
ML_statistics = :now=1464100183.01tasks_ready=1106tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=408size_allocation=2291138560size_allocation_free=1072331384size_heap=4853903360size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2292089912threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=958.996time_GC=43.436user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example1.thyoffset=1686name=lemmaelapsed=0.632
### theory "Example1"
### 3.192s elapsed time, 9.628s cpu time, 0.968s GC time
Loading theory "Example_Oil" (required by "Ordinary_Differential_Equations" via "Examples")
loading_theory = Example_Oil
ML_statistics = :now=1464100184.03tasks_ready=1105tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=409size_allocation=2190475264size_allocation_free=896841040size_heap=4778405888size_heap_free_last_full_GC=1564920size_heap_free_last_GC=2191605592threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=961.912time_GC=43.976user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Oil.thyoffset=1name=theoryelapsed=0.664
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=1622name=lemmaelapsed=1.321
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=1622name=lemmaelapsed=0.831
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Oil.thyoffset=173name=approximate_affineelapsed=0.887
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Oil.thyoffset=435name=lemmaelapsed=0.020
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=8909name=lemmaselapsed=0.054
ML_statistics = :now=1464100185.26tasks_ready=1111tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=410size_allocation=1977614336size_allocation_free=1977614336size_heap=4724928512size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1978677328threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=963.424time_GC=44.708user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=9050name=lemmaelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=9697name=lemmaelapsed=0.021
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=10383name=letelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=10434name=haveelapsed=0.048
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Oil.thyoffset=790name=approximate_affineelapsed=0.187
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Oil.thyoffset=1025name=abbreviationelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Oil.thyoffset=1134name=interpretationelapsed=0.051
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=10481name=byelapsed=0.165
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=10537name=haveelapsed=0.050
approx_form 40
 (AtLeastAtMost
   (floatarith.Mult
     (Cos (floatarith.Add
            (floatarith.Mult floatarith.Pi (floatarith.Num (Float 1 (- 1))))
            (floatarith.Minus
              (floatarith.Add
                (floatarith.Mult (floatarith.Num (Float 125 0))
                  (floatarith.Inverse
                    (Power (floatarith.Num (Float 10 0)) 3)))
                (floatarith.Mult floatarith.Pi
                  (floatarith.Inverse (floatarith.Num (Float 4 0))))))))
     (floatarith.Inverse
       (Cos (floatarith.Add
              (floatarith.Mult (floatarith.Num (Float 125 0))
                (floatarith.Inverse
                  (Power (floatarith.Num (Float 10 0)) 3)))
              (floatarith.Mult floatarith.Pi
                (floatarith.Inverse (floatarith.Num (Float 4 0))))))))
   (floatarith.Mult (floatarith.Num (Float 1287426935 0))
     (floatarith.Inverse (Power (floatarith.Num (Float 10 0)) 9)))
   (floatarith.Mult (floatarith.Num (Float 1287426955 0))
     (floatarith.Inverse (Power (floatarith.Num (Float 10 0)) 9))))
 (replicate 0 None) []
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=10594name=byelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=10618name=ultimatelyelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=10631name=haveelapsed=0.050
ML_statistics = :now=1464100185.93tasks_ready=1116tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=411size_allocation=1734344704size_allocation_free=1734344704size_heap=4756385792size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1735220424threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=965.972time_GC=44.872user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Oil.thyoffset=1134name=interpretationelapsed=0.493
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Oil.thyoffset=1854name=definitionelapsed=0.048
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Oil.thyoffset=2115name=definitionelapsed=0.057
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Exp.thyoffset=1704name=lemmaelapsed=3.320
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Exp.thyoffset=1704name=lemmaelapsed=0.082
### theory "Example_Exp"
### 5.030s elapsed time, 14.416s cpu time, 1.732s GC time
Loading theory "Example_van_der_Pol" (required by "Ordinary_Differential_Equations" via "Examples")
loading_theory = Example_van_der_Pol
ML_statistics = :now=1464100186.43tasks_ready=1116tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=411size_allocation=1734344704size_allocation_free=599590328size_heap=4756385792size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1735220424threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=967.508time_GC=44.872user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=10696name=byelapsed=0.708
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=10718name=haveelapsed=0.048
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=10920name=letelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=10974name=haveelapsed=0.048
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=11021name=byelapsed=0.985
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=11076name=haveelapsed=0.048
approx_form 40
 (AtLeastAtMost
   (floatarith.Mult (floatarith.Num (Float 16 0))
     (floatarith.Inverse
       (floatarith.Add (floatarith.Num (Float 16 0))
         (floatarith.Minus
           (floatarith.Mult (floatarith.Num (Float 17 0))
             (floatarith.Mult (floatarith.Num (Float 125 0))
               (floatarith.Inverse
                 (Power (floatarith.Num (Float 10 0)) 3))))))))
   (floatarith.Mult (floatarith.Num (Float 1153153151 0))
     (floatarith.Inverse (Power (floatarith.Num (Float 10 0)) 9)))
   (floatarith.Mult (floatarith.Num (Float 1153153155 0))
     (floatarith.Inverse (Power (floatarith.Num (Float 10 0)) 9))))
 (replicate 0 None) []
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=11136name=byelapsed=0.019
ML_statistics = :now=1464100187.67tasks_ready=1118tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=412size_allocation=1863319552size_allocation_free=1863319552size_heap=4697665536size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1864188992threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=968.816time_GC=45.628user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=11160name=ultimatelyelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_van_der_Pol.thyoffset=1name=theoryelapsed=1.405
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=11173name=haveelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_van_der_Pol.thyoffset=250name=approximate_affineelapsed=0.120
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_van_der_Pol.thyoffset=670name=approximate_affineelapsed=0.175
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_van_der_Pol.thyoffset=719name=abbreviationelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_van_der_Pol.thyoffset=815name=abbreviationelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_van_der_Pol.thyoffset=936name=interpretationelapsed=0.031
ML_statistics = :now=1464100188.92tasks_ready=1120tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=413size_allocation=1459617792size_allocation_free=1459617792size_heap=4698714112size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1461017288threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=971.136time_GC=46.388user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=11241name=byelapsed=1.357
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=11263name=haveelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_van_der_Pol.thyoffset=936name=interpretationelapsed=0.321
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=11324name=haveelapsed=0.050
approx_form 20
 (LessEqual
   (floatarith.Mult (floatarith.Num (Float 1 0))
     (floatarith.Inverse (Power (floatarith.Num (Float 10 0)) 2)))
   (floatarith.Add
     (floatarith.Mult (floatarith.Num (Float 16 0))
       (floatarith.Inverse
         (floatarith.Add (floatarith.Num (Float 16 0))
           (floatarith.Minus
             (floatarith.Mult (floatarith.Num (Float 17 0))
               (floatarith.Mult (floatarith.Num (Float 125 0))
                 (floatarith.Inverse
                   (Power (floatarith.Num (Float 10 0)) 3))))))))
     (floatarith.Minus
       (floatarith.Mult (floatarith.Num (Float 1 0))
         (floatarith.Inverse
           (floatarith.Add (floatarith.Num (Float 1 0))
             (floatarith.Minus
               (floatarith.Mult (floatarith.Num (Float 125 0))
                 (floatarith.Inverse
                   (Power (floatarith.Num (Float 10 0)) 3))))))))))
 (replicate 0 None) []
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=11380name=byelapsed=0.019
### theory "Example3"
### 8.793s elapsed time, 24.184s cpu time, 3.380s GC time
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=44458name=byelapsed=0.451
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_van_der_Pol.thyoffset=1539name=definitionelapsed=0.532
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_van_der_Pol.thyoffset=2300name=textelapsed=0.034
### theory "Example_van_der_Pol"
### 3.459s elapsed time, 7.680s cpu time, 1.936s GC time
Loading theory "Example_Variational_Equation" (required by "Ordinary_Differential_Equations" via "Examples")
loading_theory = Example_Variational_Equation
ML_statistics = :now=1464100189.82tasks_ready=1118tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=414size_allocation=1243611136size_allocation_free=1243611136size_heap=4802523136size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1244928376threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=972.788time_GC=46.808user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Variational_Equation.thyoffset=1name=theoryelapsed=0.244
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Variational_Equation.thyoffset=164name=lift_definitionelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Variational_Equation.thyoffset=164name=lift_definitionelapsed=0.054
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Variational_Equation.thyoffset=338name=definitionelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Variational_Equation.thyoffset=441name=interpretationelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Variational_Equation.thyoffset=441name=interpretationelapsed=0.404
ML_statistics = :now=1464100190.53tasks_ready=1120tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=415size_allocation=1254096896size_allocation_free=1254096896size_heap=4851806208size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1254656800threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=975.036time_GC=47.048user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Variational_Equation.thyoffset=757name=abbreviationelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=45180name=byelapsed=0.947
ML_statistics = :now=1464100191.03tasks_ready=1122tasks_pending=5tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=415size_allocation=1254096896size_allocation_free=409182120size_heap=4851806208size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1254656800threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=976.444time_GC=47.048user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100191.8tasks_ready=1119tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=416size_allocation=1279262720size_allocation_free=303116328size_heap=4866486272size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1280392304threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=978.784time_GC=47.304user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=46658name=byelapsed=1.483
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=1470name=showelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=1957name=showelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=2306name=letelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=2354name=haveelapsed=0.091
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=2599name=qedelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=3099name=obtainelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=3099name=obtainelapsed=0.039
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=3260name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=3520name=obtainelapsed=0.055
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=3520name=obtainelapsed=0.042
### Legacy feature! Old 'def' command -- use 'define' instead
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=3858name=haveelapsed=0.039
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=4638name=letelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=4676name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=4836name=obtainelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Oil.thyoffset=2248name=lemmaelapsed=10.135
### theory "Example_Oil"
### 12.582s elapsed time, 34.872s cpu time, 4.704s GC time
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=4836name=obtainelapsed=0.038
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=9734name=obtainelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=10511name=obtainelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=9910name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=10511name=obtainelapsed=0.035
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=11004name=obtainelapsed=0.036
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=11004name=obtainelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=863name=byelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=1028name=byelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=11129name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=1190name=byelapsed=0.024
ML_statistics = :now=1464100197.12tasks_ready=1139tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=423size_allocation=1034944512size_allocation_free=503488352size_heap=4895846400size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1036220976threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=994.172time_GC=48.724user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
### Rule already declared as introduction (intro)
### open {}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=11257name=thuselapsed=0.036
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=3021name=haveelapsed=0.037
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=2575name=byelapsed=0.101
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=3209name=showelapsed=0.035
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=48825name=byelapsed=0.117
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=4884name=byelapsed=0.057
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
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### Legacy feature! Old 'def' command -- use 'define' instead
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=9487name=haveelapsed=0.036
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=21184name=letelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=21280name=interpretelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=21280name=interpretelapsed=0.048
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=21332name=interpretelapsed=0.040
ML_statistics = :now=1464100201.31tasks_ready=1176tasks_pending=5tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=430size_allocation=1024458752size_allocation_free=1024458752size_heap=4909477888size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1025510112threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1009.436time_GC=49.072user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=21332name=interpretelapsed=0.096
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=21568name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=21705name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=21801name=letelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=21867name=interpretelapsed=0.052
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=21867name=interpretelapsed=0.058
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=21933name=interpretelapsed=0.057
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=21933name=interpretelapsed=0.058
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=22923name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=23181name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=23324name=haveelapsed=0.036
ML_statistics = :now=1464100201.81tasks_ready=1182tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=430size_allocation=1024458752size_allocation_free=288744720size_heap=4909477888size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1025510112threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1011.036time_GC=49.072user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=23375name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=23626name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=23721name=finallyelapsed=0.078
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=23729name=showelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=23791name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=23832name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=24048name=finallyelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=24056name=showelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15049name=obtainelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15049name=obtainelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15103name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15196name=haveelapsed=0.038
ML_statistics = :now=1464100202.33tasks_ready=1190tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=431size_allocation=1017118720size_allocation_free=442628520size_heap=4911575040size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1018208920threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1013.32time_GC=49.112user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15227name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15361name=henceelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15453name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15502name=letelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15530name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15592name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15629name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15692name=haveelapsed=0.076
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15731name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15870name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=16020name=letelapsed=0.039
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=16149name=haveelapsed=0.037
ML_statistics = :now=1464100202.83tasks_ready=1200tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=432size_allocation=1016070144size_allocation_free=1016070144size_heap=4912623616size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1016874576threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=1014.404time_GC=49.148user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=16213name=fixelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=16287name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=16640name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=16807name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=17019name=henceelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=17305name=haveelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=17487name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=17674name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=17907name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=18336name=showelapsed=0.038
ML_statistics = :now=1464100203.34tasks_ready=1209tasks_pending=5tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=433size_allocation=1015021568size_allocation_free=1015021568size_heap=4911575040size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1015802232threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1017time_GC=49.188user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=52112name=byelapsed=0.099
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=26894name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=27025name=showelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=27558name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=27691name=showelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=27971name=byelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=52306name=byelapsed=0.091
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=28146name=byelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=53073name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=53156name=haveelapsed=0.043
Enter MATCH
\<lambda>m t. Suc (?m51 m t) =?= \<lambda>m. ?m50 (Suc m)
\<lambda>m t. ?m50 m =?= \<lambda>m t ta. ?m51 m t
Enter MATCH
\<lambda>m t ta. Suc (?m52 m ta) =?= \<lambda>m t ta. ?m51 m t
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=26367name=byelapsed=2.727
?m51 =?= \<lambda>m. ?m52 (Suc m)
Enter MATCH
\<lambda>m t. Suc (?m53 m t) =?= \<lambda>m. ?m52 (Suc m)
\<lambda>m t. ?m52 m =?= \<lambda>m t ta. ?m53 m t
Enter MATCH
\<lambda>m t ta. Suc (?m54 m ta) =?= \<lambda>m t ta. ?m53 m t
?m53 =?= \<lambda>m. ?m54 (Suc m)
Enter MATCH
\<lambda>m t. Suc (?m55 m t) =?= \<lambda>m. ?m54 (Suc m)
\<lambda>m t. ?m54 m =?= \<lambda>m t ta. ?m55 m t
Enter MATCH
### Rule already declared as introduction (intro)
### open {}
\<lambda>m t ta. Suc (?m56 m ta) =?= \<lambda>m t ta. ?m55 m t
?m55 =?= \<lambda>m. ?m56 (Suc m)
Enter MATCH
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
\<lambda>m t. Suc (?m57 m t) =?= \<lambda>m. ?m56 (Suc m)
\<lambda>m t. ?m56 m =?= \<lambda>m t ta. ?m57 m t
Enter MATCH
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
ML_statistics = :now=1464100203.84tasks_ready=1204tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=433size_allocation=1015021568size_allocation_free=273078088size_heap=4911575040size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1015802232threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1018.576time_GC=49.188user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
\<lambda>m t ta. Suc (?m58 m ta) =?= \<lambda>m t ta. ?m57 m t
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
?m57 =?= \<lambda>m. ?m58 (Suc m)
Enter MATCH
\<lambda>m t. Suc (?m59 m t) =?= \<lambda>m. ?m58 (Suc m)
\<lambda>m t. ?m58 m =?= \<lambda>m t ta. ?m59 m t
Enter MATCH
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
\<lambda>m t ta. Suc (?m60 m ta) =?= \<lambda>m t ta. ?m59 m t
?m59 =?= \<lambda>m. ?m60 (Suc m)
### Unification bound exceeded
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=53392name=fromelapsed=0.063
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=53455name=showelapsed=0.085
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=28911name=byelapsed=0.152
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=29566name=thuselapsed=0.042
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=32982name=haveelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=29655name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=33161name=thuselapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=29839name=haveelapsed=0.039
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=33253name=letelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=29934name=fixelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=33287name=fixelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=29970name=henceelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=33463name=haveelapsed=0.048
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=30121name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=33639name=haveelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=30222name=haveelapsed=0.054
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=34039name=haveelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=30618name=henceelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=34112name=finallyelapsed=0.043
ML_statistics = :now=1464100204.35tasks_ready=1215tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=434size_allocation=1010827264size_allocation_free=462846088size_heap=4913672192size_heap_free_last_full_GC=1564920size_heap_free_last_GC=1011874824threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1020.668time_GC=49.224user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=34124name=haveelapsed=0.052
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=30932name=haveelapsed=0.084
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=34224name=interpretelapsed=0.058
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=31515name=haveelapsed=0.081
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=34224name=interpretelapsed=0.077
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=31789name=haveelapsed=0.048
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=31852name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=34314name=haveelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=34747name=thuselapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=31914name=haveelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=32240name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=35274name=obtainelapsed=0.057
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=32377name=thuselapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=35274name=obtainelapsed=0.094
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=53875name=byelapsed=0.087
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=41391name=byelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=35683name=fixelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=41751name=proofelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=35744name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=41925name=obtainelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=35785name=interpretelapsed=0.048
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ML_statistics = :now=1464100208.49tasks_ready=1300tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=440size_allocation=988807168size_allocation_free=988807168size_heap=4911575040size_heap_free_last_full_GC=1564920size_heap_free_last_GC=989142984threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1035.604time_GC=49.504user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=60377name=haveelapsed=0.048
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=62057name=applyelapsed=0.103
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=62175name=applyelapsed=0.021
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=60658name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=62360name=byelapsed=0.055
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=60906name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=61132name=showelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=62543name=byelapsed=0.052
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=62862name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=64439name=obtainelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=62947name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=64439name=obtainelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=64515name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=63484name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=64726name=showelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=63988name=ultimatelyelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=63999name=showelapsed=0.040
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=66925name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=67041name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=67114name=haveelapsed=0.040
ML_statistics = :now=1464100208.99tasks_ready=1306tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=440size_allocation=988807168size_allocation_free=433002816size_heap=4911575040size_heap_free_last_full_GC=1564920size_heap_free_last_GC=989142984threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1037.204time_GC=49.504user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=54665name=byelapsed=0.202
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=67472name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=67594name=ultimatelyelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=81698name=interpretelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=67607name=obtainelapsed=0.090
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=67607name=obtainelapsed=0.041
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=81698name=interpretelapsed=0.121
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=67774name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=81778name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=67819name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=81939name=obtainelapsed=0.068
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=67952name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=81939name=obtainelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=68030name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=82360name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=68244name=obtainelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=82501name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=68244name=obtainelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=82570name=fixelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=68318name=henceelapsed=0.039
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=82636name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=68433name=haveelapsed=0.035
ML_statistics = :now=1464100209.53tasks_ready=1321tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=441size_allocation=985661440size_allocation_free=985661440size_heap=4911575040size_heap_free_last_full_GC=1564920size_heap_free_last_GC=985933376threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1038.396time_GC=49.548user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=68482name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=82779name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=68616name=haveelapsed=0.037
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=82979name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=68722name=henceelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=83069name=ultimatelyelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=68806name=fixelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=83084name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=68840name=henceelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=83380name=fixelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=68972name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=83411name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=69063name=finallyelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=69071name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=83513name=henceelapsed=0.075
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=69140name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=84103name=ultimatelyelapsed=0.059
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=69256name=fixelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=84118name=haveelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=69296name=henceelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=84319name=showelapsed=0.038
### Legacy feature! Old 'def' command -- use 'define' instead
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=69395name=henceelapsed=0.040
ML_statistics = :now=1464100210.04tasks_ready=1335tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=441size_allocation=985661440size_allocation_free=96952576size_heap=4911575040size_heap_free_last_full_GC=1564920size_heap_free_last_GC=985933376threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1041.472time_GC=49.548user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=84950name=haveelapsed=0.096
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=69443name=fixelapsed=0.099
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=69513name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=85045name=obtainelapsed=0.060
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=77718name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=85045name=obtainelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=79463name=fixelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=85422name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=79568name=finallyelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=79576name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=79694name=finallyelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=85517name=obtainelapsed=0.109
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=79702name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=85517name=obtainelapsed=0.058
### Legacy feature! Old 'def' command -- use 'define' instead
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=85941name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=85941name=haveelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=79748name=haveelapsed=0.106
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=86046name=fixelapsed=0.077
ML_statistics = :now=1464100210.57tasks_ready=1345tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=442size_allocation=982515712size_allocation_free=506391056size_heap=4908429312size_heap_free_last_full_GC=1564920size_heap_free_last_GC=983533528threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1043.316time_GC=49.604user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=80098name=henceelapsed=0.072
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=86082name=henceelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=80325name=fixelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=86257name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=80356name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=86411name=fixelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=80464name=henceelapsed=0.047
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=86488name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=86535name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=80635name=haveelapsed=0.076
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=87403name=fixelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=80846name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=87484name=haveelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=80988name=ultimatelyelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=87639name=ultimatelyelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=81003name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=87650name=showelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=81122name=ultimatelyelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=81133name=showelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=88040name=obtainelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=92124name=byelapsed=0.025
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=88040name=obtainelapsed=0.038
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
ML_statistics = :now=1464100211.07tasks_ready=1355tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=442size_allocation=982515712size_allocation_free=199723184size_heap=4908429312size_heap_free_last_full_GC=1564920size_heap_free_last_GC=983533528threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1044.536time_GC=49.604user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=88136name=henceelapsed=0.055
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=88267name=obtainelapsed=0.175
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=88267name=obtainelapsed=0.053
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=92424name=byelapsed=0.304
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=92849name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=88714name=letelapsed=0.062
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=92888name=fixelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=92988name=obtainelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=88747name=haveelapsed=0.093
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=92988name=obtainelapsed=0.040
### Legacy feature! Old 'def' command -- use 'define' instead
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=88802name=haveelapsed=0.060
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=88802name=haveelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=93154name=haveelapsed=0.053
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=93316name=haveelapsed=0.054
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=88859name=haveelapsed=0.072
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=88859name=haveelapsed=0.015
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### Legacy feature! Old 'def' command -- use 'define' instead
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### Legacy feature! Old 'def' command -- use 'define' instead
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### Legacy feature! Old 'def' command -- use 'define' instead
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### Legacy feature! Old 'def' command -- use 'define' instead
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### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=119610name=byelapsed=0.064
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=120415name=byelapsed=0.101
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
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### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
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### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=124193name=obtainelapsed=0.044
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=124193name=obtainelapsed=0.038
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=124280name=letelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=123583name=byelapsed=0.208
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=124324name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=41803name=fixelapsed=0.035
ML_statistics = :now=1464100217.96tasks_ready=1447tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=452size_allocation=927989760size_allocation_free=927989760size_heap=4911575040size_heap_free_last_full_GC=1564920size_heap_free_last_GC=929496040threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1068.14time_GC=50.112user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=124352name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=41826name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=124393name=interpretelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=42000name=finallyelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=124393name=interpretelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=42008name=showelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=42097name=qedelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=124663name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=125549name=showelapsed=0.036
### Rule already declared as introduction (intro)
### open {}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=124740name=thuselapsed=0.042
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=125880name=byelapsed=0.092
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=124915name=qedelapsed=0.085
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=126505name=haveelapsed=0.039
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=126599name=haveelapsed=0.042
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=126709name=haveelapsed=0.086
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=126090name=byelapsed=0.224
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=126812name=obtainelapsed=0.041
ML_statistics = :now=1464100218.48tasks_ready=1452tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=453size_allocation=925892608size_allocation_free=925892608size_heap=4911575040size_heap_free_last_full_GC=1564920size_heap_free_last_GC=927368040threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1070.368time_GC=50.152user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=126812name=obtainelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=127584name=interpretelapsed=0.062
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=126931name=showelapsed=0.043
### Legacy feature! Old 'def' command -- use 'define' instead
### Legacy feature! Old 'def' command -- use 'define' instead
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=127584name=interpretelapsed=0.052
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=129428name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=127784name=showelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=129676name=fixelapsed=0.034
### Rule already declared as introduction (intro)
### (\<And>x. ?f x = ?g x) \<Longrightarrow> ?f = ?g
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=129748name=haveelapsed=0.041
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=129978name=haveelapsed=0.040
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=153101name=byelapsed=0.159
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=130136name=haveelapsed=0.042
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=130413name=obtainelapsed=0.097
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=153526name=byelapsed=0.109
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=130413name=obtainelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=154068name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=130792name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=154162name=haveelapsed=0.038
ML_statistics = :now=1464100219.03tasks_ready=1454tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=454size_allocation=922746880size_allocation_free=922746880size_heap=4912623616size_heap_free_last_full_GC=1564920size_heap_free_last_GC=924372400threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1072.668time_GC=50.2user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=130944name=haveelapsed=0.093
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=154246name=haveelapsed=0.093
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=131045name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=154347name=obtainelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=131282name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=154347name=obtainelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=131508name=showelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=154466name=showelapsed=0.059
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=154954name=showelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=155845name=subgoalelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=155222name=byelapsed=0.070
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=155876name=subgoalelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=43075name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=155876name=subgoalelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=43318name=finallyelapsed=0.048
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=156785name=letelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=43326name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=156821name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=171216name=byelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=156909name=obtainelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=171782name=obtainelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=156909name=obtainelapsed=0.038
ML_statistics = :now=1464100219.53tasks_ready=1459tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=454size_allocation=922746880size_allocation_free=454002256size_heap=4912623616size_heap_free_last_full_GC=1564920size_heap_free_last_GC=924372400threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1074.236time_GC=50.2user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=171782name=obtainelapsed=0.040
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=157008name=obtainelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=171919name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=157008name=obtainelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=171965name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=157159name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=172098name=finallyelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=172106name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=157223name=interpretelapsed=0.061
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=172170name=haveelapsed=0.055
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=172400name=haveelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=157223name=interpretelapsed=0.157
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=172722name=haveelapsed=0.095
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=157362name=haveelapsed=0.057
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=173103name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=173381name=applyelapsed=0.014
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=157524name=haveelapsed=0.102
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
ML_statistics = :now=1464100220.06tasks_ready=1470tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=455size_allocation=920649728size_allocation_free=920649728size_heap=4910526464size_heap_free_last_full_GC=1564920size_heap_free_last_GC=921998904threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1075.708time_GC=50.252user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=173537name=applyelapsed=0.119
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=157604name=letelapsed=0.069
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=377name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=157650name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=437name=obtainelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=157703name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=437name=obtainelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=157876name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=486name=showelapsed=0.037
### Rule already declared as introduction (intro)
### \<lbrakk>?x t0 = x0;
###  \<And>t.
###     t \<in> T \<Longrightarrow>
###     (?x has_vector_derivative f (t, ?x t)) (at t within T);
###  \<And>t. t \<in> T \<Longrightarrow> ?x t \<in> X\<rbrakk>
### \<Longrightarrow> is_solution ?x
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=158163name=letelapsed=0.072
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=979name=byelapsed=0.067
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=158206name=letelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=1349name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=158245name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=1509name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=158559name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=1780name=obtainelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=158662name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=1780name=obtainelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=158887name=obtainelapsed=0.048
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=1841name=henceelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=158887name=obtainelapsed=0.040
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=2042name=haveelapsed=0.040
ML_statistics = :now=1464100220.56tasks_ready=1481tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=455size_allocation=920649728size_allocation_free=470647280size_heap=4910526464size_heap_free_last_full_GC=1564920size_heap_free_last_GC=921998904threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1076.96time_GC=50.252user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=158996name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=2176name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=2222name=henceelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=159036name=haveelapsed=0.071
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=2255name=thuselapsed=0.094
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=44307name=byelapsed=0.025
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=159192name=haveelapsed=0.097
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=44400name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=159356name=haveelapsed=0.047
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=159540name=haveelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=159647name=haveelapsed=0.046
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=159790name=haveelapsed=0.039
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=159908name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=159998name=haveelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=160152name=haveelapsed=0.041
ML_statistics = :now=1464100221.12tasks_ready=1491tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=456size_allocation=914358272size_allocation_free=234673152size_heap=4910526464size_heap_free_last_full_GC=1564920size_heap_free_last_GC=915681520threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1080.112time_GC=50.304user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=61576name=byelapsed=0.363
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=160465name=obtainelapsed=0.053
### Ignoring duplicate introduction (intro)
### open {}
### Ignoring duplicate introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Ignoring duplicate introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### closed {}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=160465name=obtainelapsed=0.042
### Ignoring duplicate introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Ignoring duplicate introduction (intro)
### closed UNIV
### Ignoring duplicate introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Ignoring duplicate introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Ignoring duplicate introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Ignoring duplicate introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Ignoring duplicate introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=160654name=fixelapsed=0.038
### Ignoring duplicate introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=160729name=haveelapsed=0.096
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=160780name=interpretelapsed=0.069
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=160780name=interpretelapsed=0.104
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=160922name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=161088name=letelapsed=0.052
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=161126name=haveelapsed=0.041
ML_statistics = :now=1464100221.65tasks_ready=1495tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=457size_allocation=910163968size_allocation_free=910163968size_heap=4909477888size_heap_free_last_full_GC=1564920size_heap_free_last_GC=911503624threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1080.616time_GC=50.36user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=61676name=byelapsed=0.542
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=161154name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=161230name=interpretelapsed=0.062
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=61944name=byelapsed=0.211
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=161230name=interpretelapsed=0.214
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=44552name=byelapsed=0.085
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=161406name=interpretelapsed=0.061
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=161406name=interpretelapsed=0.130
ML_statistics = :now=1464100222.16tasks_ready=1493tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=458size_allocation=903872512size_allocation_free=903872512size_heap=4909477888size_heap_free_last_full_GC=1564920size_heap_free_last_GC=905164728threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1082.62time_GC=50.412user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=161582name=interpretelapsed=0.067
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=161582name=interpretelapsed=0.058
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163477name=fixelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163547name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=63291name=byelapsed=0.397
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163682name=haveelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=62501name=byelapsed=0.064
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163830name=haveelapsed=0.042
### Ignoring duplicate introduction (intro)
### open {}
### Ignoring duplicate introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Ignoring duplicate introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### closed {}
### Ignoring duplicate introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Ignoring duplicate introduction (intro)
### closed UNIV
### Ignoring duplicate introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163973name=haveelapsed=0.090
### Ignoring duplicate introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Ignoring duplicate introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Ignoring duplicate introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Ignoring duplicate introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Ignoring duplicate introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164018name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164049name=haveelapsed=0.043
ML_statistics = :now=1464100222.68tasks_ready=1498tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=459size_allocation=898629632size_allocation_free=898629632size_heap=4910526464size_heap_free_last_full_GC=1564920size_heap_free_last_GC=899721872threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1084.636time_GC=50.46user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=165021name=finallyelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=165029name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=165096name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=165152name=letelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=165215name=haveelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=63391name=byelapsed=0.461
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=62630name=byelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=165877name=haveelapsed=0.048
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=44755name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=166339name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=44812name=ultimatelyelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=166860name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=44823name=showelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=167109name=finallyelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=167117name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=167159name=fixelapsed=0.096
ML_statistics = :now=1464100223.23tasks_ready=1504tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=460size_allocation=895483904size_allocation_free=895483904size_heap=4909477888size_heap_free_last_full_GC=1564920size_heap_free_last_GC=896616272threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1086.924time_GC=50.516user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=167195name=haveelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=63657name=byelapsed=0.252
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=167294name=haveelapsed=0.052
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=45229name=interpretelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=167342name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=45278name=showelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=168401name=haveelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=62712name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64131name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=168494name=finallyelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=62812name=byelapsed=0.040
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=168502name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=168570name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=168856name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=65133name=byelapsed=0.137
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=169143name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=169422name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64219name=byelapsed=0.059
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=169474name=haveelapsed=0.042
ML_statistics = :now=1464100223.73tasks_ready=1507tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=460size_allocation=895483904size_allocation_free=332804608size_heap=4909477888size_heap_free_last_full_GC=1564920size_heap_free_last_GC=896616272threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1088.524time_GC=50.516user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=169731name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=65323name=byelapsed=0.087
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64350name=byelapsed=0.023
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=170036name=ultimatelyelapsed=0.082
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=170049name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=65429name=byelapsed=0.107
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64432name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=170609name=showelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64555name=byelapsed=0.027
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=65654name=byelapsed=0.078
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=66464name=byelapsed=0.012
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=66512name=byelapsed=0.110
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=67053name=byelapsed=0.014
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Variational_Equation.thyoffset=1042name=approximate_affineelapsed=33.593
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Variational_Equation.thyoffset=1079name=abbreviationelapsed=0.086
ML_statistics = :now=1464100224.3tasks_ready=1498tasks_pending=5tasks_running=6tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=462size_allocation=887095296size_allocation_free=887095296size_heap=4910526464size_heap_free_last_full_GC=1564920size_heap_free_last_GC=888109112threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1091.036time_GC=50.608user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=65973name=byelapsed=0.232
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=67119name=byelapsed=0.086
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=67996name=byelapsed=0.152
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=46319name=byelapsed=0.757
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68186name=byelapsed=0.134
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68298name=byelapsed=0.067
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=69484name=byelapsed=0.080
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68528name=byelapsed=0.098
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=46754name=haveelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=46962name=haveelapsed=0.073
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=47141name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=47276name=haveelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=47379name=haveelapsed=0.093
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=47486name=finallyelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=69571name=byelapsed=0.494
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=47496name=haveelapsed=0.046
ML_statistics = :now=1464100225.34tasks_ready=1487tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=464size_allocation=882900992size_allocation_free=882900992size_heap=4911575040size_heap_free_last_full_GC=1564920size_heap_free_last_GC=884677464threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1094.204time_GC=50.688user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=47615name=thuselapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=69743name=byelapsed=0.086
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=48018name=haveelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=48779name=haveelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=48312name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=48971name=haveelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=48557name=finallyelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=49163name=haveelapsed=0.047
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=48565name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=49328name=finallyelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=70092name=byelapsed=0.057
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=49338name=haveelapsed=0.052
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=49578name=thuselapsed=0.040
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68907name=byelapsed=0.214
ML_statistics = :now=1464100225.87tasks_ready=1486tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=465size_allocation=876609536size_allocation_free=876609536size_heap=4911575040size_heap_free_last_full_GC=1564920size_heap_free_last_GC=877861904threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1096.336time_GC=50.732user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=70173name=byelapsed=0.726
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=70726name=byelapsed=0.466
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=70853name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=73082name=byelapsed=0.046
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=70972name=ultimatelyelapsed=0.038
ML_statistics = :now=1464100226.39tasks_ready=1482tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=466size_allocation=873463808size_allocation_free=873463808size_heap=4913672192size_heap_free_last_full_GC=1564920size_heap_free_last_GC=874631952threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1098.048time_GC=50.764user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=70983name=showelapsed=0.039
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
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### Ignoring duplicate rewrite rule:
### ?A1 \<noteq> {} \<Longrightarrow> SUP x:?A1. ?y \<equiv> ?y
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### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=1343name=byelapsed=0.047
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=4917name=byelapsed=0.066
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=4535name=subgoalelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=18452name=byelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=6048name=fixelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=6123name=henceelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=6222name=obtainelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=6222name=obtainelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=6355name=haveelapsed=0.079
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=7726name=byelapsed=0.240
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=6436name=letelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=18663name=byelapsed=0.048
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=6491name=showelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=18817name=byelapsed=0.050
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=7956name=byelapsed=0.143
ML_statistics = :now=1464100231.09tasks_ready=1421tasks_pending=5tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=477size_allocation=850395136size_allocation_free=850395136size_heap=4913672192size_heap_free_last_full_GC=1564920size_heap_free_last_GC=851808992threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1114.664time_GC=51.168user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=18951name=byelapsed=0.091
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=8924name=byelapsed=0.102
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=8640name=byelapsed=0.182
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=19152name=byelapsed=0.047
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=19275name=byelapsed=0.020
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=14774name=usingelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=9164name=henceelapsed=0.081
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=9391name=letelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=9482name=fixelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=9534name=haveelapsed=0.047
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=14788name=byelapsed=0.186
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=9761name=haveelapsed=0.042
ML_statistics = :now=1464100231.59tasks_ready=1412tasks_pending=5tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=478size_allocation=849346560size_allocation_free=849346560size_heap=4913672192size_heap_free_last_full_GC=1564920size_heap_free_last_GC=850437944threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1116.496time_GC=51.2user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=14864name=byelapsed=0.071
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=10158name=haveelapsed=0.048
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=10581name=haveelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=15185name=haveelapsed=0.055
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=10943name=haveelapsed=0.052
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=15520name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=11355name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=15719name=finallyelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=11475name=haveelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=15727name=showelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=15900name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=16056name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=11515name=haveelapsed=0.054
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=16333name=byelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=14151name=haveelapsed=0.087
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=21026name=byelapsed=0.073
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=16557name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=21288name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=14225name=haveelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=16738name=byelapsed=0.018
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=21394name=byelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=14422name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=21588name=byelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=14547name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=17001name=henceelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=14623name=finallyelapsed=0.037
ML_statistics = :now=1464100232.11tasks_ready=1404tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=479size_allocation=848297984size_allocation_free=848297984size_heap=4911575040size_heap_free_last_full_GC=1564920size_heap_free_last_GC=850089592threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1118.624time_GC=51.24user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=17066name=showelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=14631name=showelapsed=0.039
### Ignoring duplicate rewrite rule:
### continuous_on {?a1..?b1} ?f1 \<Longrightarrow>
### ?f1 integrable_on {?a1..?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### open {} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed UNIV \<equiv> True
### Ignoring duplicate rewrite rule:
### closed ?S1 \<Longrightarrow> closed (insert ?a1 ?S1) \<equiv> True
### Ignoring duplicate rewrite rule:
### open {?a1<..} \<equiv> True
### Ignoring duplicate rewrite rule:
### open {..<?a1} \<equiv> True
### Ignoring duplicate rewrite rule:
### open {?a1<..<?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {..?a1} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {?a1..} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {?a1..?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous bot ?f1 \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous (at ?x1 within ?S1) (\<lambda>x. x) \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous ?F1 (\<lambda>x. ?c1) \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; ?f1 ?a1 \<noteq> (0::?'b1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. inverse (?f1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; ?g1 ?a1 \<noteq> (0::?'b1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. ?f1 x / ?g1 x) ?a1 \<equiv> True
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=21964name=byelapsed=0.058
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=20663name=byelapsed=0.012
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; 0 < ?f1 ?a1; ?f1 ?a1 \<noteq> 1;
###  0 < ?g1 ?a1\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. log (?f1 x) (?g1 x)) ?a1 \<equiv> True
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=20910name=byelapsed=0.017
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; ?f1 ?a1 \<noteq> 0\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. ?f1 x powr ?g1 x) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; cos (?f1 ?a1) \<noteq> (0::?'a1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. tan (?f1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; sin (?f1 ?a1) \<noteq> (0::?'a1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. cot (?f1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous ?F1 ?g1 \<Longrightarrow>
### continuous ?F1 (\<lambda>x. cnj (?g1 x)) \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous_on ?s1 ?g1 \<Longrightarrow>
### continuous_on ?s1 (\<lambda>x. cnj (?g1 x)) \<equiv> True
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=21001name=byelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=21534name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=22358name=byelapsed=0.172
### Ignoring duplicate safe introduction (intro!)
### \<lbrakk>0 \<le> ?xa; ?xa \<le> 1\<rbrakk>
### \<Longrightarrow> x + ?xa *\<^sub>R (z - x) \<in> G
### Ignoring duplicate safe introduction (intro!)
### (\<lambda>xa. x + xa *\<^sub>R (z - x)) ` {0..1} \<subseteq> G
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=21588name=byelapsed=0.017
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=21964name=byelapsed=0.086
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=22049name=byelapsed=0.061
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=22895name=byelapsed=0.204
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=22426name=byelapsed=0.025
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=23316name=byelapsed=0.025
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=22557name=fixelapsed=0.038
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=22619name=haveelapsed=0.044
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=22757name=showelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=23948name=byelapsed=0.092
ML_statistics = :now=1464100232.65tasks_ready=1383tasks_pending=5tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=480size_allocation=842006528size_allocation_free=842006528size_heap=4912623616size_heap_free_last_full_GC=1564920size_heap_free_last_GC=842963928threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1120.424time_GC=51.28user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=23466name=byelapsed=0.029
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=23007name=qedelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=24408name=byelapsed=0.022
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=23547name=byelapsed=0.059
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=24504name=byelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=654name=byelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=25118name=byelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=849name=byelapsed=0.091
### Rule already declared as introduction (intro)
### \<lbrakk>?x j.t0 = j.x0;
###  \<And>t.
###     t \<in> j.T \<Longrightarrow>
###     (?x has_vector_derivative j.f (t, ?x t)) (at t within j.T);
###  \<And>t. t \<in> j.T \<Longrightarrow> ?x t \<in> j.X\<rbrakk>
### \<Longrightarrow> j.is_solution ?x
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=24630name=byelapsed=0.170
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=1431name=byelapsed=0.048
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=25204name=byelapsed=0.101
approx_form 80
 (Bound (Var 0) (Num (Float 0 0))
   (Mult (Num (Float 3 0)) (Inverse (Num (Float 10 0))))
   (Less
     (Add (Cos (Add (Mult floatarith.Pi (Num (Float 1 (- 1))))
                 (Minus (Num (Float 2 0)))))
       (Minus
         (Cos (Add (Mult floatarith.Pi (Num (Float 1 (- 1))))
                (Minus (Num (Float 1 0)))))))
     (Cos (Add (Num (Float 1 0)) (Var 0)))))
 (replicate 1 None) [0]
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=1616name=byelapsed=0.070
approx_form 80
 (Bound (Var 0) (Mult (Num (Float 3 0)) (Inverse (Num (Float 10 0))))
   (Mult (Num (Float 7 0)) (Inverse (Num (Float 10 0))))
   (Less (Add (Cos (Num (Float 1 0))) (Minus (Cos (Num (Float 2 0)))))
     (Cos (Add (Mult floatarith.Pi (Num (Float 1 (- 1))))
            (Minus (Add (Num (Float 1 0)) (Var 0)))))))
 (replicate 1 None) [0]
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=1120name=byelapsed=0.075
approx_form 80
 (Bound (Var 0) (Num (Float 1 0))
   (Mult (Num (Float 15 0)) (Inverse (Num (Float 10 0))))
   (Less
     (Add (Cos (Add (Mult floatarith.Pi (Num (Float 1 (- 1))))
                 (Minus (Num (Float 2 0)))))
       (Minus
         (Cos (Add (Mult floatarith.Pi (Num (Float 1 (- 1))))
                (Minus (Num (Float 1 0)))))))
     (Cos (Var 0))))
 (replicate 1 None) [0]
ML_statistics = :now=1464100233.17tasks_ready=1367tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=481size_allocation=840957952size_allocation_free=840957952size_heap=4913672192size_heap_free_last_full_GC=1564920size_heap_free_last_GC=842267744threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1122.14time_GC=51.316user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
approx_form 80
 (Bound (Var 0) (Mult (Num (Float 7 0)) (Inverse (Num (Float 10 0))))
   (Mult (Num (Float 9 0)) (Inverse (Num (Float 10 0))))
   (Less (Cos (Add (Num (Float 1 0)) (Var 0)))
     (Add (Cos (Add (Mult floatarith.Pi (Num (Float 1 (- 1))))
                 (Minus (Num (Float 2 0)))))
       (Minus
         (Cos (Add (Mult floatarith.Pi (Num (Float 1 (- 1))))
                (Minus (Num (Float 1 0)))))))))
 (replicate 1 None) [0]
approx_form 80
 (Bound (Var 0) (Mult (Num (Float 15 0)) (Inverse (Num (Float 10 0))))
   (Mult (Num (Float 16 0)) (Inverse (Num (Float 10 0))))
   (Less
     (Minus
       (Cos (Add (Mult floatarith.Pi (Num (Float 1 (- 1))))
              (Minus (Var 0)))))
     (Add (Cos (Num (Float 2 0))) (Minus (Cos (Num (Float 1 0)))))))
 (replicate 1 None) [0]
approx_form 80
 (Bound (Var 0) (Mult (Num (Float 9 0)) (Inverse (Num (Float 10 0))))
   (Num (Float 1 0))
   (Less
     (Cos (Add (Mult floatarith.Pi (Num (Float 1 (- 1))))
            (Minus (Add (Num (Float 1 0)) (Var 0)))))
     (Add (Cos (Num (Float 1 0))) (Minus (Cos (Num (Float 2 0)))))))
 (replicate 1 None) [0]
approx_form 80
 (Bound (Var 0) (Mult (Num (Float 16 0)) (Inverse (Num (Float 10 0))))
   (Num (Float 2 0))
   (Less (Cos (Var 0))
     (Add (Cos (Add (Mult floatarith.Pi (Num (Float 1 (- 1))))
                 (Minus (Num (Float 2 0)))))
       (Minus
         (Cos (Add (Mult floatarith.Pi (Num (Float 1 (- 1))))
                (Minus (Num (Float 1 0)))))))))
 (replicate 1 None) [0]
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=1071name=byelapsed=0.475
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=2268name=byelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=1783name=byelapsed=0.407
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=1832name=byelapsed=0.060
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=3733name=byelapsed=0.042
ML_statistics = :now=1464100233.68tasks_ready=1361tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=482size_allocation=839909376size_allocation_free=839909376size_heap=4914720768size_heap_free_last_full_GC=1564920size_heap_free_last_GC=841362104threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1124.156time_GC=51.348user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=2922name=byelapsed=0.053
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=2426name=byelapsed=0.268
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=3795name=haveelapsed=0.048
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=3063name=byelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=3182name=byelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=4778name=applyelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=3956name=showelapsed=0.039
### Rule already declared as introduction (intro)
### ?P ?x \<Longrightarrow> \<exists>x. ?P x
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=27871name=byelapsed=0.023
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=4184name=byelapsed=0.068
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=29359name=byelapsed=0.031
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=28112name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=28195name=byelapsed=0.074
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=28407name=byelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=29195name=byelapsed=0.356
ML_statistics = :now=1464100234.21tasks_ready=1340tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=483size_allocation=839909376size_allocation_free=839909376size_heap=4913672192size_heap_free_last_full_GC=1564920size_heap_free_last_GC=840750328threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1125.976time_GC=51.384user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=28566name=byelapsed=0.020
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=30285name=byelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=31460name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=31785name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=30121name=byelapsed=0.308
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=34001name=fixelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=32867name=showelapsed=0.052
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=34035name=henceelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=34128name=haveelapsed=0.078
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=34239name=thuselapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=34386name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=34483name=nextelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=34492name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=34603name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=34823name=showelapsed=0.039
ML_statistics = :now=1464100234.72tasks_ready=1336tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=484size_allocation=837812224size_allocation_free=837812224size_heap=4913672192size_heap_free_last_full_GC=1564920size_heap_free_last_GC=839543912threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1127.72time_GC=51.416user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=34998name=fixelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=35032name=henceelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=35125name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=35339name=thuselapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=35486name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=35743name=byelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=33165name=qedelapsed=0.593
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=38642name=byelapsed=0.081
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=38708name=byelapsed=0.016
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=39122name=byelapsed=0.169
ML_statistics = :now=1464100235.23tasks_ready=1332tasks_pending=5tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=485size_allocation=835715072size_allocation_free=835715072size_heap=4913672192size_heap_free_last_full_GC=1564920size_heap_free_last_GC=836938648threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1129.736time_GC=51.448user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=37914name=byelapsed=0.302
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=39996name=byelapsed=0.231
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=40531name=byelapsed=0.026
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=40588name=byelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=40739name=byelapsed=0.171
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=41121name=byelapsed=0.027
ML_statistics = :now=1464100235.76tasks_ready=1324tasks_pending=5tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=486size_allocation=834666496size_allocation_free=834666496size_heap=4913672192size_heap_free_last_full_GC=1564920size_heap_free_last_GC=835732216threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1131.32time_GC=51.476user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine_Code.thyoffset=11158name=byelapsed=0.137
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=41369name=byelapsed=0.076
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=42055name=byelapsed=0.261
ML_statistics = :now=1464100236.28tasks_ready=1316tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=487size_allocation=833617920size_allocation_free=833617920size_heap=4913672192size_heap_free_last_full_GC=1564920size_heap_free_last_GC=834561912threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1133.04time_GC=51.508user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=39516name=byelapsed=1.187
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=42808name=byelapsed=0.016
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=42423name=byelapsed=0.248
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=42940name=byelapsed=0.138
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=43470name=byelapsed=0.197
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=43760name=byelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=43900name=byelapsed=0.022
ML_statistics = :now=1464100236.81tasks_ready=1308tasks_pending=5tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=489size_allocation=830472192size_allocation_free=830472192size_heap=4912623616size_heap_free_last_full_GC=1564920size_heap_free_last_GC=831811424threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1135.824time_GC=51.584user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=44684name=byelapsed=0.256
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=44928name=byelapsed=0.011
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
ML_statistics = :now=1464100237.31tasks_ready=1305tasks_pending=5tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=490size_allocation=826277888size_allocation_free=826277888size_heap=4913672192size_heap_free_last_full_GC=1564920size_heap_free_last_GC=827395704threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1137.44time_GC=51.616user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=48522name=byelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=46698name=byelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=46801name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=46335name=byelapsed=0.726
ML_statistics = :now=1464100237.81tasks_ready=1297tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=491size_allocation=826277888size_allocation_free=826277888size_heap=4913672192size_heap_free_last_full_GC=1564920size_heap_free_last_GC=827535024threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1139time_GC=51.652user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=48905name=byelapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=48707name=byelapsed=0.091
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=47789name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=49133name=byelapsed=0.016
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=49276name=byelapsed=0.051
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=48005name=byelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=49365name=byelapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=47402name=applyelapsed=0.220
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=49533name=byelapsed=0.102
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=49612name=byelapsed=0.040
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=49721name=byelapsed=0.050
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=49778name=byelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=49880name=byelapsed=0.088
ML_statistics = :now=1464100238.31tasks_ready=1282tasks_pending=5tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=492size_allocation=824180736size_allocation_free=824180736size_heap=4913672192size_heap_free_last_full_GC=1564920size_heap_free_last_GC=825350808threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1140.636time_GC=51.68user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=50023name=interpretelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=50023name=interpretelapsed=0.061
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=50264name=showelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=50300name=nextelapsed=0.034
### Legacy feature! Old 'def' command -- use 'define' instead
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=50493name=haveelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=50588name=haveelapsed=0.078
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=50654name=haveelapsed=0.035
### Legacy feature! Old 'def' command -- use 'define' instead
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=50948name=interpretelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=50948name=interpretelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=51067name=interpretelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=51067name=interpretelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=51186name=interpretelapsed=0.038
ML_statistics = :now=1464100238.82tasks_ready=1288tasks_pending=5tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=493size_allocation=823132160size_allocation_free=823132160size_heap=4912623616size_heap_free_last_full_GC=1564920size_heap_free_last_GC=824689424threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1142.456time_GC=51.72user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=51186name=interpretelapsed=0.043
### Legacy feature! Old 'def' command -- use 'define' instead
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=51519name=interpretelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=51519name=interpretelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=51672name=interpretelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=51672name=interpretelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=54129name=interpretelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=54129name=interpretelapsed=0.045
### Legacy feature! Old 'def' command -- use 'define' instead
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=54455name=interpretelapsed=0.077
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=54455name=interpretelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=54658name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=54874name=haveelapsed=0.040
ML_statistics = :now=1464100239.34tasks_ready=1294tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=494size_allocation=818937856size_allocation_free=818937856size_heap=4912623616size_heap_free_last_full_GC=1564920size_heap_free_last_GC=819818496threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1144.58time_GC=51.76user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=54976name=interpretelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=54976name=interpretelapsed=0.055
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=55524name=showelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=47488name=byelapsed=1.510
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=55704name=byelapsed=0.145
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=57228name=byelapsed=0.052
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=57359name=byelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=62845name=applyelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=62877name=subgoalelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=57425name=haveelapsed=0.042
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=62877name=subgoalelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=57688name=haveelapsed=0.048
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=58096name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=61298name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=61417name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=62120name=henceelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=62216name=thuselapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=63710name=byelapsed=0.398
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
ML_statistics = :now=1464100240.36tasks_ready=1296tasks_pending=5tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=496size_allocation=813694976size_allocation_free=813694976size_heap=4912623616size_heap_free_last_full_GC=1564920size_heap_free_last_GC=814709040threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1148.364time_GC=51.836user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=64638name=byelapsed=0.507
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=65954name=byelapsed=0.201
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=64806name=byelapsed=1.589
### Ignoring duplicate rewrite rule:
### closed (cball ?x1 ?e1) \<equiv> True
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=68216name=byelapsed=0.045
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Ignoring duplicate safe introduction (intro!)
### \<lbrakk>continuous_on ?S ?f; continuous_on ?S ?g\<rbrakk>
### \<Longrightarrow> continuous_on ?S (\<lambda>x. (?f x, ?g x))
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=68766name=subgoalelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=68801name=subgoalelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=68801name=subgoalelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=68858name=subgoalelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=68858name=subgoalelapsed=0.040
ML_statistics = :now=1464100244.49tasks_ready=1285tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=504size_allocation=805306368size_allocation_free=295919720size_heap=4913672192size_heap_free_last_full_GC=1564920size_heap_free_last_GC=806065072threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1162.54time_GC=52.088user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=68909name=subgoalelapsed=0.038
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=68945name=subgoalelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=68945name=subgoalelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=69033name=subgoalelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=70278name=byelapsed=1.563
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=69033name=subgoalelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=69173name=byelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=69346name=byelapsed=0.107
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=71247name=byelapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=69649name=byelapsed=0.057
### Rule already declared as introduction (intro)
### (\<And>x. ?f x = ?g x) \<Longrightarrow> ?f = ?g
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=70490name=byelapsed=0.264
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### Legacy feature! Old 'def' command -- use 'define' instead
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### Legacy feature! Old 'def' command -- use 'define' instead
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### Legacy feature! Old 'def' command -- use 'define' instead
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=39209name=haveelapsed=0.037
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=39554name=haveelapsed=0.042
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### Rule already declared as introduction (intro)
### open {}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=40032name=haveelapsed=0.096
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=40197name=haveelapsed=0.041
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=40295name=haveelapsed=0.041
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=40478name=haveelapsed=0.042
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### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=24102name=subgoalelapsed=0.046
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=24211name=subgoalelapsed=0.042
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=24211name=subgoalelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=23747name=byelapsed=0.156
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=24390name=subgoalelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=11451name=applyelapsed=0.061
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=24390name=subgoalelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=11525name=applyelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=24408name=subgoalelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=24408name=subgoalelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=11540name=byelapsed=0.072
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=24577name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=11952name=haveelapsed=0.041
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=24844name=haveelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=12272name=showelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=12379name=qedelapsed=0.025
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=24937name=showelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=12555name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=25149name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=25336name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=25473name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=25582name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=25731name=obtainelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=26821name=byelapsed=0.216
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=14845name=byelapsed=0.013
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=25731name=obtainelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=27377name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=25908name=ultimatelyelapsed=0.037
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=25919name=haveelapsed=0.087
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=26024name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=27917name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=26137name=finallyelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=26145name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=29443name=finallyelapsed=0.036
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=29451name=showelapsed=0.041
### Ignoring duplicate rewrite rule:
### ?a1 + ?b1 + ?c1 \<equiv> ?a1 + (?b1 + ?c1)
### Ignoring duplicate rewrite rule:
### ?a1 + ?b1 \<equiv> ?b1 + ?a1
### Ignoring duplicate rewrite rule:
### ?b1 + (?a1 + ?c1) \<equiv> ?a1 + (?b1 + ?c1)
### Ignoring duplicate rewrite rule:
### ?a1 * ?b1 * ?c1 \<equiv> ?a1 * (?b1 * ?c1)
### Ignoring duplicate rewrite rule:
### ?a1 * ?b1 \<equiv> ?b1 * ?a1
### Ignoring duplicate rewrite rule:
### ?b1 * (?a1 * ?c1) \<equiv> ?a1 * (?b1 * ?c1)
### Ignoring duplicate rewrite rule:
### ?a1 - ?b1 - ?c1 \<equiv> ?a1 - (?b1 + ?c1)
### Ignoring duplicate rewrite rule:
### ?a1 + (?b1 - ?c1) \<equiv> ?a1 + ?b1 - ?c1
### Ignoring duplicate rewrite rule:
### ?a1 - ?b1 = ?c1 \<equiv> ?a1 = ?c1 + ?b1
### Ignoring duplicate rewrite rule:
### ?a1 = ?c1 - ?b1 \<equiv> ?a1 + ?b1 = ?c1
### Ignoring duplicate rewrite rule:
### ?a1 - (?b1 - ?c1) \<equiv> ?a1 + ?c1 - ?b1
### Ignoring duplicate rewrite rule:
### ?a1 - ?b1 + ?c1 \<equiv> ?a1 + ?c1 - ?b1
### Ignoring duplicate rewrite rule:
### ?a1 - ?b1 < ?c1 \<equiv> ?a1 < ?c1 + ?b1
### Ignoring duplicate rewrite rule:
### ?a1 < ?c1 - ?b1 \<equiv> ?a1 + ?b1 < ?c1
### Ignoring duplicate rewrite rule:
### ?a1 - ?b1 \<le> ?c1 \<equiv> ?a1 \<le> ?c1 + ?b1
### Ignoring duplicate rewrite rule:
### ?a1 \<le> ?c1 - ?b1 \<equiv> ?a1 + ?b1 \<le> ?c1
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=33666name=showelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=30306name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=33826name=fixelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=33315name=finallyelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=34065name=obtainelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=33323name=showelapsed=0.035
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=34065name=obtainelapsed=0.044
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=35000name=interpretelapsed=0.042
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=35334name=haveelapsed=0.042
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=15676name=byelapsed=0.012
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/One_Step_Method.thyoffset=15866name=byelapsed=0.020
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=35695name=.elapsed=0.096
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=35834name=interpretelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=35834name=interpretelapsed=0.060
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=35997name=henceelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=36215name=interpretelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=36215name=interpretelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=36546name=showelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=36602name=haveelapsed=0.044
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=36745name=fixelapsed=0.080
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=40422name=obtainelapsed=0.052
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=39693name=byelapsed=0.095
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=40819name=interpretelapsed=0.051
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=42260name=interpretelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=42260name=interpretelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=40819name=interpretelapsed=0.058
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=40916name=haveelapsed=0.038
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=40988name=interpretelapsed=0.129
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=43002name=showelapsed=0.044
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### Rule already declared as introduction (intro)
### open {}
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### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Exp.thyoffset=374name=byelapsed=0.026
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
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### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=371name=byelapsed=0.137
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### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Exp.thyoffset=1263name=applyelapsed=0.132
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=1237name=applyelapsed=0.168
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=8637name=byelapsed=16.533
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=8788name=byelapsed=0.027
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=10110name=byelapsed=0.834
### Rule already declared as introduction (intro)
### open {}
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### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Oil.thyoffset=1777name=applyelapsed=0.265
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=9675name=applyelapsed=0.861
### Rule already declared as introduction (intro)
### (\<And>x. ?f x = ?g x) \<Longrightarrow> ?f = ?g
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_van_der_Pol.thyoffset=577name=byelapsed=0.110
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
ML_statistics = :now=1464100281.06tasks_ready=1298tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=1partial_GCs=595size_allocation=330301440size_allocation_free=330301440size_heap=4912623616size_heap_free_last_full_GC=1564920size_heap_free_last_GC=331548184threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1284.94time_GC=57.184user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_van_der_Pol.thyoffset=1453name=applyelapsed=0.260
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Variational_Equation.thyoffset=282name=byelapsed=0.026
### Ignoring duplicate introduction (intro)
### open {}
### Ignoring duplicate introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Ignoring duplicate introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### closed {}
### Ignoring duplicate introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Ignoring duplicate introduction (intro)
### closed UNIV
### Ignoring duplicate introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Ignoring duplicate introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Ignoring duplicate introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Ignoring duplicate introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Ignoring duplicate introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Ignoring duplicate introduction (intro)
### continuous_on ?s (linepath ?a ?b)
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=753name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=992name=byelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=1090name=byelapsed=0.021
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=1248name=byelapsed=0.488
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=1501name=byelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=1905name=byelapsed=0.065
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=2382name=byelapsed=0.027
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=2533name=byelapsed=0.073
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=3162name=byelapsed=0.047
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=3289name=byelapsed=0.012
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=3801name=byelapsed=0.335
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=4791name=byelapsed=0.066
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=4879name=byelapsed=0.065
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=6662name=byelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=5204name=byelapsed=0.010
### Rule already declared as introduction (intro)
### bounded ?S \<Longrightarrow> bounded (closure ?S)
### Rule already declared as introduction (intro)
### convex ?s \<Longrightarrow> convex (closure ?s)
### Ignoring duplicate rewrite rule:
### convex (convex hull ?s1) \<equiv> True
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=7347name=byelapsed=0.019
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=5338name=byelapsed=0.175
*** Failed to finish proof (line 148 of "~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thy"):
*** goal (1 subgoal):
***  1. \<bar>(\<Sum>x\<in>p. case x of (x, k) \<Rightarrow> content k * f x) -
***           I\<bar>
***     < e \<Longrightarrow>
***     \<bar>I -
***           (\<Sum>x\<in>p.
***              case x of (x, k) \<Rightarrow> content k * f x)\<bar> *
***     norm y
***     \<le> norm y * e
*** At command "by" (line 147 of "~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thy")
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=5838name=byelapsed=0.021
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=8505name=byelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=5906name=byelapsed=0.020
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=6023name=byelapsed=0.022
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=9713name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=9249name=byelapsed=0.016
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=9861name=byelapsed=0.060
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=10606name=byelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=10018name=byelapsed=0.021
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=10718name=byelapsed=0.017
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=11099name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=11210name=byelapsed=0.016
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Ignoring duplicate safe introduction (intro!)
### \<lbrakk>continuous_on ?S ?g; continuous_on ?S ?h; ?h ` ?S \<subseteq> X;
###  ?g ` ?S \<subseteq> T\<rbrakk>
### \<Longrightarrow> continuous_on ?S (\<lambda>x. f (?g x) (?h x))
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=2944name=byelapsed=0.150
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=3222name=byelapsed=0.011
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### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Ignoring duplicate safe introduction (intro!)
### \<lbrakk>continuous_on ?S ?g; continuous_on ?S ?h; ?h ` ?S \<subseteq> X;
###  ?g ` ?S \<subseteq> T\<rbrakk>
### \<Longrightarrow> continuous_on ?S (\<lambda>x. f (?g x) (?h x))
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### theory "Example_Variational_Equation"
### 106.404s elapsed time, 369.028s cpu time, 13.840s GC time
Loading theory "Examples" (required by "Ordinary_Differential_Equations")
loading_theory = Examples
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=17039name=subgoalelapsed=0.083
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=19920name=byelapsed=12.992
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=20584name=byelapsed=0.057
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=20755name=byelapsed=0.034
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=24512name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=24665name=subgoalelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=24665name=subgoalelapsed=0.034
ML_statistics = :now=1464100309.81tasks_ready=1197tasks_pending=4tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=721size_allocation=348127232size_allocation_free=348127232size_heap=2645602304size_heap_free_last_full_GC=14546304size_heap_free_last_GC=14546304threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1332.256time_GC=72.904user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=24725name=subgoalelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=24725name=subgoalelapsed=0.037
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=24745name=subgoalelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=24928name=subgoalelapsed=0.170
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=24928name=subgoalelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=25009name=subgoalelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=25009name=subgoalelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=25029name=subgoalelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=25029name=subgoalelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=20896name=byelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=25891name=byelapsed=0.037
ML_statistics = :now=1464100310.44tasks_ready=1194tasks_pending=4tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=722size_allocation=623902720size_allocation_free=623902720size_heap=2927669248size_heap_free_last_full_GC=14546304size_heap_free_last_GC=535260592threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=1333.684time_GC=73.032user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=21307name=byelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=21485name=byelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=21618name=byelapsed=0.025
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=21790name=byelapsed=0.014
### Ignoring duplicate rewrite rule:
### t0 \<in> T \<equiv> True
### Ignoring duplicate rewrite rule:
### x0 \<in> X \<equiv> True
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=21894name=byelapsed=0.130
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Examples.thyoffset=1name=theoryelapsed=14.514
### theory "Examples"
### 14.519s elapsed time, 19.948s cpu time, 12.384s GC time
Loading theory "Ordinary_Differential_Equations"
loading_theory = Ordinary_Differential_Equations
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=22021name=showelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=22067name=nextelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=22105name=thuselapsed=0.052
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=22181name=nextelapsed=0.118
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=22219name=thuselapsed=0.045
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=22544name=henceelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=22682name=showelapsed=0.043
ML_statistics = :now=1464100311.47tasks_ready=1195tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=723size_allocation=1042284544size_allocation_free=515423400size_heap=3354439680size_heap_free_last_full_GC=14546304size_heap_free_last_GC=1042931408threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1338.072time_GC=73.112user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=22912name=qedelapsed=0.274
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=23239name=byelapsed=0.017
ML_statistics = :now=1464100312tasks_ready=1192tasks_pending=3tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=724size_allocation=1046478848size_allocation_free=1046478848size_heap=3360731136size_heap_free_last_full_GC=14546304size_heap_free_last_GC=1047472560threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1339.38time_GC=73.164user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=23439name=byelapsed=0.125
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=23690name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=23817name=byelapsed=0.023
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ordinary_Differential_Equations.thyoffset=1name=theoryelapsed=1.382
### theory "Ordinary_Differential_Equations"
### 1.385s elapsed time, 5.072s cpu time, 0.132s GC time
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15287name=byelapsed=0.029
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15421name=byelapsed=0.016
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15492name=byelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15569name=byelapsed=0.013
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=23901name=byelapsed=0.353
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15721name=byelapsed=0.096
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=15973name=byelapsed=0.051
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=16366name=byelapsed=0.168
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=16737name=byelapsed=0.527
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=17125name=byelapsed=0.200
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=27403name=byelapsed=0.016
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=53584name=byelapsed=0.039
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=18270name=byelapsed=0.891
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=33072name=byelapsed=0.723
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=33243name=byelapsed=0.012
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=30772name=byelapsed=0.069
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
ML_statistics = :now=1464100314.57tasks_ready=1141tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=729size_allocation=1035993088size_allocation_free=1035993088size_heap=3363876864size_heap_free_last_full_GC=14546304size_heap_free_last_GC=1037177216threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1349.648time_GC=73.324user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=31676name=byelapsed=0.176
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=34502name=byelapsed=0.255
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=34785name=byelapsed=0.055
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=31950name=haveelapsed=0.050
ML_statistics = :now=1464100315.07tasks_ready=1137tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=730size_allocation=1033895936size_allocation_free=1033895936size_heap=3362828288size_heap_free_last_full_GC=14546304size_heap_free_last_GC=1034958208threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1351.54time_GC=73.348user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=32074name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=32118name=finallyelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=32126name=haveelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=32197name=thuselapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=32363name=byelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=35666name=byelapsed=0.140
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=41979name=byelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=42100name=byelapsed=0.021
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=42343name=byelapsed=0.011
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Exp.thyoffset=17614name=byelapsed=34.734
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=42783name=byelapsed=0.069
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=36367name=byelapsed=0.017
ML_statistics = :now=1464100315.57tasks_ready=1124tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=731size_allocation=1030750208size_allocation_free=1030750208size_heap=3362828288size_heap_free_last_full_GC=14546304size_heap_free_last_GC=1031129536threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1353.576time_GC=73.376user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=42594name=byelapsed=0.124
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=36501name=byelapsed=0.021
### Rule already declared as introduction (intro)
### ((\<lambda>x. x) \<longlongrightarrow> ?a) (at ?a within ?s)
### Rule already declared as introduction (intro)
### ((\<lambda>x. ?k) \<longlongrightarrow> ?k) ?F
### Rule already declared as introduction (intro)
### (?f \<longlongrightarrow> ?x) ?F \<Longrightarrow>
### ((\<lambda>x. ereal (?f x)) \<longlongrightarrow> ereal ?x) ?F
### Rule already declared as introduction (intro)
### (?f \<longlongrightarrow> ?x) ?F \<Longrightarrow>
### ((\<lambda>x. - ?f x) \<longlongrightarrow> - ?x) ?F
### Rule already declared as introduction (intro)
### \<lbrakk>\<bar>?c\<bar> \<noteq> \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?c * ?f x) \<longlongrightarrow> ?c * ?x) ?F
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=36801name=byelapsed=0.040
### Rule already declared as introduction (intro)
### \<lbrakk>?x \<noteq> 0; (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?c * ?f x) \<longlongrightarrow> ?c * ?x) ?F
### Rule already declared as introduction (intro)
### \<lbrakk>?y \<noteq> - \<infinity>; ?x \<noteq> - \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?f x + ?y) \<longlongrightarrow> ?x + ?y) ?F
### Rule already declared as introduction (intro)
### \<lbrakk>\<bar>?y\<bar> \<noteq> \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?f x + ?y) \<longlongrightarrow> ?x + ?y) ?F
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=43006name=byelapsed=0.094
compact (cball ?x2 ?e2 \<times> cball ?x1 ?e1)
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=43279name=byelapsed=0.093
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=37254name=byelapsed=0.024
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=43379name=fixelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=43417name=showelapsed=0.038
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=37027name=byelapsed=0.192
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=31117name=byelapsed=1.401
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=37488name=byelapsed=0.016
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=37801name=fixelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=43642name=byelapsed=0.202
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=37950name=haveelapsed=0.081
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=38177name=haveelapsed=0.047
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=43863name=byelapsed=0.300
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=39405name=haveelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=39931name=haveelapsed=0.040
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=40729name=showelapsed=0.043
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=57089name=byelapsed=0.030
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### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
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### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
### Rule already declared as introduction (intro)
### ((\<lambda>x. x) \<longlongrightarrow> ?a) (at ?a within ?s)
### Rule already declared as introduction (intro)
### ((\<lambda>x. ?k) \<longlongrightarrow> ?k) ?F
### Rule already declared as introduction (intro)
### (?f \<longlongrightarrow> ?x) ?F \<Longrightarrow>
### ((\<lambda>x. ereal (?f x)) \<longlongrightarrow> ereal ?x) ?F
### Rule already declared as introduction (intro)
### (?f \<longlongrightarrow> ?x) ?F \<Longrightarrow>
### ((\<lambda>x. - ?f x) \<longlongrightarrow> - ?x) ?F
### Rule already declared as introduction (intro)
### \<lbrakk>\<bar>?c\<bar> \<noteq> \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?c * ?f x) \<longlongrightarrow> ?c * ?x) ?F
### Rule already declared as introduction (intro)
### \<lbrakk>?x \<noteq> 0; (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?c * ?f x) \<longlongrightarrow> ?c * ?x) ?F
### Rule already declared as introduction (intro)
### \<lbrakk>?y \<noteq> - \<infinity>; ?x \<noteq> - \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?f x + ?y) \<longlongrightarrow> ?x + ?y) ?F
### Rule already declared as introduction (intro)
### \<lbrakk>\<bar>?y\<bar> \<noteq> \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?f x + ?y) \<longlongrightarrow> ?x + ?y) ?F
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=55517name=byelapsed=0.087
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=55740name=byelapsed=0.036
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### Ignoring duplicate rewrite rule:
### x0 \<in> X \<equiv> True
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### Metis: Unused theorems: "Orderings.order_class.order.trans"
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### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
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### Ignoring duplicate rewrite rule:
### ?g1 integrable_on {?b1..?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### ?h1 integrable_on closed_segment ?a1 ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. ?c1) integrable_on closed_segment ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. x) integrable_on closed_segment ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. x) integrable_on cbox ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. of_real ?c1 * ?f1 x) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. ?f1 x * of_real ?c1) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. ?f1 x / of_real ?c1) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=95452name=byelapsed=0.029
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=91377name=haveelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=96071name=byelapsed=0.019
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### Ignoring duplicate rewrite rule:
### dist ?x1 (0::?'a1) \<equiv> norm ?x1
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=103511name=thuselapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=103555name=nextelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=96520name=byelapsed=0.566
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=103584name=henceelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=21078name=byelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=103610name=henceelapsed=0.049
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=35180name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=20506name=byelapsed=0.240
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=21283name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=21360name=byelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=103648name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=103980name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=21460name=byelapsed=0.083
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=107812name=thuselapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=37007name=byelapsed=0.056
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=35567name=showelapsed=0.079
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=37110name=byelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=35609name=fixelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=22567name=byelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=35621name=letelapsed=0.037
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=23474name=byelapsed=0.887
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=38281name=byelapsed=0.034
ML_statistics = :now=1464100328.35tasks_ready=1009tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=755size_allocation=975175680size_allocation_free=975175680size_heap=3363876864size_heap_free_last_full_GC=14546304size_heap_free_last_GC=975306648threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1399.652time_GC=74.06user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=24291name=byelapsed=0.468
### Ignoring duplicate rewrite rule:
### of_nat (Suc ?m1) \<equiv> (1::?'a1) + of_nat ?m1
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=24658name=byelapsed=0.209
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=38509name=byelapsed=0.023
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=25182name=byelapsed=0.104
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=111469name=byelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=25975name=byelapsed=0.273
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=111712name=byelapsed=0.027
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=26175name=byelapsed=0.098
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=26502name=byelapsed=0.038
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=26983name=fixelapsed=0.058
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=27025name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=23855name=byelapsed=2.438
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=27849name=byelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=27103name=haveelapsed=0.066
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=27271name=finallyelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=28222name=applyelapsed=0.059
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=28293name=applyelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=28534name=byelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=27279name=showelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=27312name=showelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=112822name=byelapsed=0.018
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=28942name=byelapsed=0.056
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=113152name=byelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=113066name=byelapsed=0.037
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=29905name=byelapsed=0.010
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=29750name=byelapsed=0.052
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=113316name=byelapsed=0.014
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=30302name=byelapsed=0.127
### Rule already declared as introduction (intro)
### \<lbrakk>?b = ?f ?x; ?x \<in> ?A\<rbrakk> \<Longrightarrow> ?b \<in> ?f ` ?A
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=30080name=byelapsed=0.185
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=30620name=byelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=30924name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=113959name=byelapsed=0.016
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=32222name=byelapsed=0.025
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=114362name=byelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=31501name=byelapsed=0.123
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=114806name=byelapsed=0.018
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=33375name=byelapsed=0.089
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=114992name=byelapsed=0.060
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=34221name=subgoalelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=34221name=subgoalelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=39213name=byelapsed=0.061
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=34341name=subgoalelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=39296name=byelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=34341name=subgoalelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=40225name=byelapsed=0.311
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=40056name=byelapsed=0.379
### Ignoring duplicate safe introduction (intro!)
### ?t = ?t
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=121106name=byelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=122099name=byelapsed=0.040
ML_statistics = :now=1464100330.88tasks_ready=945tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=760size_allocation=965738496size_allocation_free=965738496size_heap=3363876864size_heap_free_last_full_GC=14546304size_heap_free_last_GC=966069800threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1408.392time_GC=74.192user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=40355name=byelapsed=0.156
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=41928name=byelapsed=0.088
### Ignoring duplicate rewrite rule:
### convex (cball ?x1 ?e1) \<equiv> True
### Ignoring duplicate rewrite rule:
### cball ?x1 ?e1 = {} \<equiv> ?e1 < 0
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Ignoring duplicate safe introduction (intro!)
### \<lbrakk>continuous_on ?s ?f; ?f ` ?s \<subseteq> X\<rbrakk>
### \<Longrightarrow> continuous_on ?s (\<lambda>x. f' (?f x))
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=124470name=byelapsed=0.276
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=125485name=byelapsed=0.092
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=124730name=byelapsed=0.023
ML_statistics = :now=1464100331.4tasks_ready=930tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=761size_allocation=965738496size_allocation_free=965738496size_heap=3361779712size_heap_free_last_full_GC=14546304size_heap_free_last_GC=966162568threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1409.928time_GC=74.232user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=124814name=byelapsed=0.015
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=122473name=byelapsed=0.593
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=126640name=byelapsed=0.098
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=127019name=byelapsed=0.015
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=126873name=byelapsed=0.348
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=127889name=showelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=129611name=byelapsed=0.357
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=127969name=nextelapsed=0.039
ML_statistics = :now=1464100331.93tasks_ready=923tasks_pending=3tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=762size_allocation=959447040size_allocation_free=959447040size_heap=3363876864size_heap_free_last_full_GC=14546304size_heap_free_last_GC=959642304threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1411.52time_GC=74.256user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=127978name=fixelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=128005name=henceelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=128098name=showelapsed=0.074
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=128405name=showelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=130750name=byelapsed=0.067
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=130301name=byelapsed=0.332
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=130900name=byelapsed=0.096
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### open {}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=154203name=byelapsed=0.097
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
ML_statistics = :now=1464100332.43tasks_ready=915tasks_pending=3tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=763size_allocation=960495616size_allocation_free=960495616size_heap=3363876864size_heap_free_last_full_GC=14546304size_heap_free_last_GC=960602424threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1413.376time_GC=74.276user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=131174name=byelapsed=0.164
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=131374name=byelapsed=0.121
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=131567name=showelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=154408name=byelapsed=0.341
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=154562name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=132150name=nextelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=43002name=byelapsed=0.018
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=132178name=showelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=43339name=byelapsed=0.021
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=43202name=byelapsed=0.061
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=171857name=byelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=157212name=byelapsed=0.018
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=172331name=byelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=157103name=byelapsed=0.129
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=172652name=byelapsed=0.042
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=157594name=byelapsed=0.013
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>compact ?s; compact ?t\<rbrakk>
### \<Longrightarrow> compact (?s \<union> ?t)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
ML_statistics = :now=1464100332.96tasks_ready=890tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=765size_allocation=957349888size_allocation_free=957349888size_heap=3363876864size_heap_free_last_full_GC=14546304size_heap_free_last_GC=958399056threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1416.696time_GC=74.32user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=157672name=byelapsed=0.036
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Ignoring duplicate safe introduction (intro!)
### \<lbrakk>continuous_on ?Y ?h; continuous_on ?Y ?g;
###  \<And>y. y \<in> ?Y \<Longrightarrow> ?h y \<in> X;
###  \<And>y.
###     y \<in> ?Y \<Longrightarrow> ?g y \<in> existence_ivl (?h y)\<rbrakk>
### \<Longrightarrow> continuous_on ?Y (\<lambda>y. flow (?h y) (?g y))
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=172884name=byelapsed=0.352
### Rule already declared as introduction (intro)
### \<lbrakk>compact ?s; compact ?t\<rbrakk>
### \<Longrightarrow> compact (?s \<union> ?t)
ML_statistics = :now=1464100333.46tasks_ready=884tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=766size_allocation=955252736size_allocation_free=955252736size_heap=3364925440size_heap_free_last_full_GC=14546304size_heap_free_last_GC=955371024threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1418.228time_GC=74.34user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=158041name=byelapsed=0.492
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=1632name=byelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=158618name=byelapsed=0.012
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=158749name=byelapsed=0.147
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=1947name=byelapsed=0.073
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Linear_ODE.thyoffset=2212name=byelapsed=0.020
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=158383name=byelapsed=0.601
ML_statistics = :now=1464100333.96tasks_ready=871tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=767size_allocation=956301312size_allocation_free=956301312size_heap=3364925440size_heap_free_last_full_GC=14546304size_heap_free_last_GC=956612704threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1419.7time_GC=74.36user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=24105name=byelapsed=6.768
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
ML_statistics = :now=1464100334.48tasks_ready=870tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=768size_allocation=955252736size_allocation_free=955252736size_heap=3364925440size_heap_free_last_full_GC=14546304size_heap_free_last_GC=955585080threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1421.304time_GC=74.38user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=159275name=byelapsed=0.969
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=159632name=byelapsed=0.041
ML_statistics = :now=1464100334.99tasks_ready=868tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=769size_allocation=954204160size_allocation_free=954204160size_heap=3363876864size_heap_free_last_full_GC=14546304size_heap_free_last_GC=954746304threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1422.948time_GC=74.404user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=159098name=byelapsed=1.208
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=159803name=usingelapsed=0.014
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=159718name=byelapsed=0.166
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=159921name=byelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=160103name=byelapsed=0.092
ML_statistics = :now=1464100335.49tasks_ready=863tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=770size_allocation=951058432size_allocation_free=951058432size_heap=3363876864size_heap_free_last_full_GC=14546304size_heap_free_last_GC=951206144threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1424.7time_GC=74.428user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=160637name=byelapsed=0.366
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=160260name=byelapsed=0.506
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=160765name=byelapsed=0.119
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=161142name=byelapsed=0.048
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=161176name=byelapsed=0.108
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=159481name=byelapsed=1.623
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=161308name=byelapsed=0.348
ML_statistics = :now=1464100335.99tasks_ready=856tasks_pending=3tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=771size_allocation=950009856size_allocation_free=110072480size_heap=3364925440size_heap_free_last_full_GC=14546304size_heap_free_last_GC=950368496threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1427.8time_GC=74.448user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=161756name=showelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=161870name=showelapsed=0.077
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162076name=showelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=161484name=byelapsed=0.419
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162145name=showelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162145name=showelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163798name=byelapsed=0.051
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162255name=showelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163855name=byelapsed=0.068
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162975name=fixelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163011name=showelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164035name=byelapsed=0.069
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163591name=byelapsed=0.399
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163115name=fixelapsed=0.051
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164208name=subgoalelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=165125name=byelapsed=0.018
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163147name=showelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=165291name=haveelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164208name=subgoalelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=166007name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164248name=subgoalelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=165396name=haveelapsed=0.042
ML_statistics = :now=1464100336.52tasks_ready=857tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=772size_allocation=950009856size_allocation_free=379834080size_heap=3362828288size_heap_free_last_full_GC=14546304size_heap_free_last_GC=950938424threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1429.528time_GC=74.476user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=166109name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164248name=subgoalelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=165764name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164328name=subgoalelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=166267name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=165842name=finallyelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164328name=subgoalelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=165850name=showelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=166523name=subgoalelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164852name=subgoalelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=166968name=subgoalelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=166523name=subgoalelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164852name=subgoalelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=166968name=subgoalelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=166561name=subgoalelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164889name=subgoalelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=167006name=subgoalelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=166561name=subgoalelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164889name=subgoalelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=166596name=subgoalelapsed=0.035
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### Ignoring duplicate rewrite rule:
### \<lbrakk>(0::?'a1) \<le> ?a1; (0::?'a1) \<le> ?b1\<rbrakk>
### \<Longrightarrow> (0::?'a1) \<le> ?a1 * ?b1 \<equiv> True
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### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=58934name=haveelapsed=0.038
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=59100name=haveelapsed=0.044
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=59415name=fixelapsed=0.038
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
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### Rule already declared as introduction (intro)
### \<lbrakk>?x subset.t0 = subset.x0;
###  \<And>t.
###     t \<in> subset.T \<Longrightarrow>
###     (?x has_vector_derivative subset.f (t, ?x t)) (at t within subset.T);
###  \<And>t. t \<in> subset.T \<Longrightarrow> ?x t \<in> subset.X\<rbrakk>
### \<Longrightarrow> subset.is_solution ?x
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### Ignoring duplicate introduction (intro)
### open {}
### Ignoring duplicate introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Ignoring duplicate introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
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### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### closed {}
### Ignoring duplicate introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Ignoring duplicate introduction (intro)
### closed UNIV
### Ignoring duplicate introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Ignoring duplicate introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=15302name=thuselapsed=0.042
### Ignoring duplicate introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Ignoring duplicate introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Ignoring duplicate introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Ignoring duplicate introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Ignoring duplicate introduction (intro)
### continuous_on ?s (linepath ?a ?b)
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=19875name=showelapsed=0.037
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=19292name=byelapsed=0.302
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=20394name=obtainelapsed=0.038
### Legacy feature! Old 'def' command -- use 'define' instead
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### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=20947name=interpretelapsed=0.037
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### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=33134name=interpretelapsed=0.036
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=34072name=obtainelapsed=0.038
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=34301name=interpretelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=34301name=interpretelapsed=0.051
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=34398name=interpretelapsed=0.041
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=7056name=byelapsed=0.015
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=7362name=byelapsed=0.011
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
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### Rule already declared as introduction (intro)
### (\<And>x. ?f x = ?g x) \<Longrightarrow> ?f = ?g
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### Ignoring duplicate introduction (intro)
### open {}
### Ignoring duplicate introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Ignoring duplicate introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=42439name=haveelapsed=0.092
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### closed {}
### Ignoring duplicate introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Ignoring duplicate introduction (intro)
### closed UNIV
### Ignoring duplicate introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Ignoring duplicate introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=42649name=interpretelapsed=0.051
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Ignoring duplicate introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Ignoring duplicate introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Ignoring duplicate introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Ignoring duplicate introduction (intro)
### continuous_on ?s (linepath ?a ?b)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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### Rule already declared as introduction (intro)
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Variational_Equation.thyoffset=1821name=byelapsed=0.351
### Rule already declared as introduction (intro)
### (\<And>x. ?f x = ?g x) \<Longrightarrow> ?f = ?g
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### Ignoring duplicate introduction (intro)
### open {}
### Ignoring duplicate introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Ignoring duplicate introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
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### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### closed {}
### Ignoring duplicate introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Ignoring duplicate introduction (intro)
### closed UNIV
### Ignoring duplicate introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Ignoring duplicate introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Ignoring duplicate introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Ignoring duplicate introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Ignoring duplicate introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Ignoring duplicate introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Ignoring duplicate introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Ignoring duplicate introduction (intro)
### continuous_on ?s (linepath ?a ?b)
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=16444name=byelapsed=0.111
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### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
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### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
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### Ignoring duplicate rewrite rule:
### cball ?x1 ?e1 = {} \<equiv> ?e1 < 0
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### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
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Assumptions:
True
True
True
True
True
True
True
True
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
inf_existence t0 x0 = - \<infinity>
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
\<not> M * 2 / real N < e  [\<not> M * 2 / real N < e]

Proved:
2 * M / real N < M * 2 / real N  [\<not> M * 2 / real N < e]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
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Assumptions:
True
True
True
True
True
True
True
True
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
inf_existence t0 x0 = \<infinity>
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
\<not> M * 2 / real N < e  [\<not> M * 2 / real N < e]

Proved:
2 * M / real N < M * 2 / real N  [\<not> M * 2 / real N < e]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
Assumptions:
True
True
True
True
True
True
True
True
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
inf_existence t0 x0 = ereal r
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
\<not> M * 2 / real N < e  [\<not> M * 2 / real N < e]

Proved:
2 * M / real N < M * 2 / real N  [\<not> M * 2 / real N < e]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
ML_statistics = :now=1464100381.59tasks_ready=540tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=888size_allocation=707788800size_allocation_free=707788800size_heap=3362828288size_heap_free_last_full_GC=14546304size_heap_free_last_GC=708919960threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1591.868time_GC=77.64user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Assumptions:
True
True
True
True
True
True
True
True
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
inf_existence t0 x0 = - \<infinity>
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
\<not> M * 2 / real N < e  [\<not> M * 2 / real N < e]

Proved:
2 * M / real N < M * 2 / real N  [\<not> M * 2 / real N < e]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
Assumptions:
True
True
True
True
True
True
True
True
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
inf_existence t0 x0 = \<infinity>
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
\<not> M * 2 / real N < e  [\<not> M * 2 / real N < e]

Proved:
2 * M / real N < M * 2 / real N  [\<not> M * 2 / real N < e]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
ML_statistics = :now=1464100382.09tasks_ready=540tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=889size_allocation=704643072size_allocation_free=704643072size_heap=3362828288size_heap_free_last_full_GC=14546304size_heap_free_last_GC=705716616threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1593.168time_GC=77.676user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Assumptions:
True
True
True
True
True
True
True
True
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
inf_existence t0 x0 = ereal r
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
\<not> M * 2 / real N < e  [\<not> M * 2 / real N < e]

Proved:
2 * M / real N < M * 2 / real N  [\<not> M * 2 / real N < e]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
ML_statistics = :now=1464100382.62tasks_ready=540tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=891size_allocation=691011584size_allocation_free=691011584size_heap=3361779712size_heap_free_last_full_GC=14546304size_heap_free_last_GC=691901208threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1595.108time_GC=77.76user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Assumptions:
True
True
True
True
True
True
True
True
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
inf_existence t0 x0 = - \<infinity>
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
\<not> M * 2 / real N < e  [\<not> M * 2 / real N < e]

Proved:
2 * M / real N < M * 2 / real N  [\<not> M * 2 / real N < e]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
Assumptions:
True
True
True
True
True
True
True
True
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
inf_existence t0 x0 = \<infinity>
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
\<not> M * 2 / real N < e  [\<not> M * 2 / real N < e]

Proved:
2 * M / real N < M * 2 / real N  [\<not> M * 2 / real N < e]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
ML_statistics = :now=1464100383.13tasks_ready=540tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=893size_allocation=693108736size_allocation_free=693108736size_heap=3363876864size_heap_free_last_full_GC=14546304size_heap_free_last_GC=694158888threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1596.964time_GC=77.808user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Assumptions:
True
True
True
True
True
True
True
True
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
inf_existence t0 x0 = ereal r
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
\<not> M * 2 / real N < e  [\<not> M * 2 / real N < e]

Proved:
2 * M / real N < M * 2 / real N  [\<not> M * 2 / real N < e]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
ML_statistics = :now=1464100383.65tasks_ready=540tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=895size_allocation=691011584size_allocation_free=691011584size_heap=3363876864size_heap_free_last_full_GC=14546304size_heap_free_last_GC=691864360threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1598.828time_GC=77.852user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Assumptions:
True
True
True
True
True
True
True
True
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
inf_existence t0 x0 = - \<infinity>
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
\<not> M * 2 / real N < e  [\<not> M * 2 / real N < e]

Proved:
2 * M / real N < M * 2 / real N  [\<not> M * 2 / real N < e]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
ML_statistics = :now=1464100384.15tasks_ready=540tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=897size_allocation=686817280size_allocation_free=686817280size_heap=3364925440size_heap_free_last_full_GC=14546304size_heap_free_last_GC=687200688threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1601.02time_GC=77.896user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Assumptions:
True
True
True
True
True
True
True
True
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
inf_existence t0 x0 = \<infinity>
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
\<not> M * 2 / real N < e  [\<not> M * 2 / real N < e]

Proved:
2 * M / real N < M * 2 / real N  [\<not> M * 2 / real N < e]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
ML_statistics = :now=1464100384.67tasks_ready=540tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=2partial_GCs=899size_allocation=686817280size_allocation_free=686817280size_heap=3364925440size_heap_free_last_full_GC=14546304size_heap_free_last_GC=687239592threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1602.9time_GC=77.94user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
Assumptions:
True
True
True
True
True
True
True
True
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
inf_existence t0 x0 = ereal r
0 < n
0 < m
b - 1 / real N \<le> b - 1 / real n
b - 1 / real N \<le> b - 1 / real m
t0 + 1 / real n \<le> t0 + 1 / real N
t0 + 1 / real n < b
sup_existence t0 x0 = ereal b
0 < N
M / real N < e / 2
inf_existence t0 x0 < ereal (b - 1 / real N)
t0 + 1 / real N < b
inf_existence t0 x0 \<noteq> \<infinity>
sup_existence t0 x0 \<noteq> - \<infinity>
inf_existence t0 x0 < ereal b
\<And>x y. (ereal x < ereal y) = (x < y)
\<not> M * 2 / real N < e  [\<not> M * 2 / real N < e]

Proved:
2 * M / real N < M * 2 / real N  [\<not> M * 2 / real N < e]

### Linear arithmetic should have refuted the assumptions.
### Please inform Tobias Nipkow.
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### Rule already declared as introduction (intro)
### ((\<lambda>x. x) \<longlongrightarrow> ?a) (at ?a within ?s)
### Rule already declared as introduction (intro)
### ((\<lambda>x. ?k) \<longlongrightarrow> ?k) ?F
### Rule already declared as introduction (intro)
### (?f \<longlongrightarrow> ?x) ?F \<Longrightarrow>
### ((\<lambda>x. ereal (?f x)) \<longlongrightarrow> ereal ?x) ?F
### Rule already declared as introduction (intro)
### (?f \<longlongrightarrow> ?x) ?F \<Longrightarrow>
### ((\<lambda>x. - ?f x) \<longlongrightarrow> - ?x) ?F
### Rule already declared as introduction (intro)
### \<lbrakk>\<bar>?c\<bar> \<noteq> \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?c * ?f x) \<longlongrightarrow> ?c * ?x) ?F
### Rule already declared as introduction (intro)
### \<lbrakk>?x \<noteq> 0; (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?c * ?f x) \<longlongrightarrow> ?c * ?x) ?F
### Rule already declared as introduction (intro)
### \<lbrakk>?y \<noteq> - \<infinity>; ?x \<noteq> - \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?f x + ?y) \<longlongrightarrow> ?x + ?y) ?F
### Rule already declared as introduction (intro)
### \<lbrakk>\<bar>?y\<bar> \<noteq> \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?f x + ?y) \<longlongrightarrow> ?x + ?y) ?F
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### Rule already declared as introduction (intro)
### ((\<lambda>x. x) \<longlongrightarrow> ?a) (at ?a within ?s)
### Rule already declared as introduction (intro)
### ((\<lambda>x. ?k) \<longlongrightarrow> ?k) ?F
### Rule already declared as introduction (intro)
### (?f \<longlongrightarrow> ?x) ?F \<Longrightarrow>
### ((\<lambda>x. ereal (?f x)) \<longlongrightarrow> ereal ?x) ?F
### Rule already declared as introduction (intro)
### (?f \<longlongrightarrow> ?x) ?F \<Longrightarrow>
### ((\<lambda>x. - ?f x) \<longlongrightarrow> - ?x) ?F
### Rule already declared as introduction (intro)
### \<lbrakk>\<bar>?c\<bar> \<noteq> \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?c * ?f x) \<longlongrightarrow> ?c * ?x) ?F
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### Rule already declared as introduction (intro)
### \<lbrakk>?x \<noteq> 0; (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
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### Rule already declared as introduction (intro)
### \<lbrakk>?y \<noteq> - \<infinity>; ?x \<noteq> - \<infinity>;
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### \<Longrightarrow> ((\<lambda>x. ?f x + ?y) \<longlongrightarrow> ?x + ?y) ?F
### Rule already declared as introduction (intro)
### \<lbrakk>\<bar>?y\<bar> \<noteq> \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?f x + ?y) \<longlongrightarrow> ?x + ?y) ?F
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### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
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### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
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### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
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### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
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### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=161830name=byelapsed=0.178
### Rule already declared as introduction (intro)
### ?x0.0 \<in> X \<Longrightarrow> 0 \<in> existence_ivl ?x0.0
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### Legacy feature! Old 'def' command -- use 'define' instead
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### Legacy feature! Old 'def' command -- use 'define' instead
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=135270name=haveelapsed=0.044
### Legacy feature! Old 'def' command -- use 'define' instead
ML_statistics = :now=1464100419.8tasks_ready=502tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=941size_allocation=2308964352size_allocation_free=2308964352size_heap=5470466048size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2309710256threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1629.124time_GC=105.952user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=135600name=haveelapsed=1.027
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=135659name=henceelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=135940name=obtainelapsed=0.056
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=135940name=obtainelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=136392name=haveelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=136549name=obtainelapsed=0.049
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=136549name=obtainelapsed=0.043
### Legacy feature! Old 'def' command -- use 'define' instead
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=136794name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=136868name=henceelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=137004name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=138505name=haveelapsed=0.041
ML_statistics = :now=1464100420.3tasks_ready=511tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=941size_allocation=2308964352size_allocation_free=1330917896size_heap=5470466048size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2309710256threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1630.7time_GC=105.952user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=138577name=showelapsed=0.050
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162333name=applyelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162430name=subgoalelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162430name=subgoalelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162469name=subgoalelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162469name=subgoalelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162493name=subgoalelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162493name=subgoalelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162892name=subgoalelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162892name=subgoalelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162916name=subgoalelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162916name=subgoalelapsed=0.043
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162940name=subgoalelapsed=1.362
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162940name=subgoalelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163059name=byelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163266name=subgoalelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163266name=subgoalelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163294name=subgoalelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163294name=subgoalelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163332name=subgoalelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163332name=subgoalelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163371name=subgoalelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163371name=subgoalelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163418name=subgoalelapsed=0.041
ML_statistics = :now=1464100422.61tasks_ready=519tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=942size_allocation=2320498688size_allocation_free=1463675744size_heap=5660258304size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2321696336threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1634.66time_GC=107.264user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=163418name=subgoalelapsed=0.045
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=165576name=obtainelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=165653name=showelapsed=0.045
ML_statistics = :now=1464100423.25tasks_ready=516tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=943size_allocation=2291138560size_allocation_free=2291138560size_heap=5683326976size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2291309856threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1637.028time_GC=107.404user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=166248name=byelapsed=0.269
ML_statistics = :now=1464100423.75tasks_ready=515tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=943size_allocation=2291138560size_allocation_free=1362382640size_heap=5683326976size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2291309856threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1638.616time_GC=107.404user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100424.25tasks_ready=515tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=943size_allocation=2399141888size_allocation_free=447882448size_heap=5791330304size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2291309856threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1640.196time_GC=107.404user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162203name=byelapsed=6.682
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164386name=subgoalelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164503name=subgoalelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164503name=subgoalelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164544name=subgoalelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164544name=subgoalelapsed=0.046
ML_statistics = :now=1464100425.55tasks_ready=517tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=944size_allocation=2453667840size_allocation_free=1461978216size_heap=5974831104size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2454243288threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1642.664time_GC=108.22user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164792name=subgoalelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=164792name=subgoalelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=165828name=byelapsed=2.542
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=166546name=byelapsed=0.019
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=167045name=byelapsed=0.160
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=166722name=byelapsed=0.017
ML_statistics = :now=1464100426.05tasks_ready=505tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=944size_allocation=2453667840size_allocation_free=428683016size_heap=5974831104size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2454243288threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1644.26time_GC=108.22user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=167637name=subgoalelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=167637name=subgoalelapsed=0.262
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=167693name=subgoalelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=167693name=subgoalelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=167852name=subgoalelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=167852name=subgoalelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=168250name=subgoalelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=168250name=subgoalelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=45360name=byelapsed=0.014
ML_statistics = :now=1464100426.74tasks_ready=500tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=945size_allocation=2512388096size_allocation_free=1751787928size_heap=6068154368size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2514320576threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1646.712time_GC=108.44user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thyoffset=45540name=byelapsed=0.216
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=170587name=byelapsed=0.014
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=6985name=henceelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=7069name=thuselapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=7127name=haveelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=7273name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=7474name=finallyelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=7482name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=11908name=fixelapsed=0.037
ML_statistics = :now=1464100427.24tasks_ready=489tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=945size_allocation=2512388096size_allocation_free=1086620776size_heap=6068154368size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2514320576threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1648.308time_GC=108.44user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=11926name=haveelapsed=0.049
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=12255name=haveelapsed=0.060
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=12707name=haveelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=12845name=haveelapsed=0.048
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=13106name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=13325name=haveelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=13484name=haveelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=13622name=haveelapsed=0.045
0: 625e~4: (138567324e~8, 20951049e~7, 98563286e~8, 59767819e~9, ~42110775e~8, 93943653e~8, ) - (138799760e~8, 21021883e~7, 98910069e~8, 61623916e~9, ~39310963e~8, 94614778e~8, ); devs: 6; width: 13999060e~9; tdev: (11621784e~10, 35416879e~10, 17339144e~10, 92804803e~11, 13999060e~9, 33556234e~10, ); maxdev: (0e0, 0e0, 0e0, 0e0, 13999060e~9, 0e0, )
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=13907name=finallyelapsed=0.038
ML_statistics = :now=1464100427.74tasks_ready=498tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=945size_allocation=2512388096size_allocation_free=510942288size_heap=6068154368size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2514320576threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1649.904time_GC=108.44user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
1: 125e~3: (150827715e~8, 186421064e~8, 94603495e~8, 11432199e~8, ~80090634e~8, 83664192e~8, ) - (151353081e~8, 188176527e~8, 95531283e~8, 11875452e~8, ~74252147e~8, 85371634e~8, ); devs: 18; width: 29192434e~9; tdev: (26268306e~10, 87773119e~10, 46389418e~10, 22162643e~10, 29192434e~9, 85372074e~10, ); maxdev: (0e0, 0e0, 0e0, 0e0, 14431860e~9, 0e0, )
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=13915name=showelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=50776name=byelapsed=0.011
### Ignoring duplicate rewrite rule:
### of_nat (Suc ?m1) \<equiv> (1::?'a1) + of_nat ?m1
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=50834name=byelapsed=0.016
2: 1875e~4: (161556310e~8, 160389279e~8, 88514505e~8, 16149286e~8, ~110344851e~8, 70373090e~8, ) - (162437557e~8, 163309258e~8, 90223517e~8, 16928269e~8, ~101361471e~8, 73435840e~8, ); devs: 23; width: 44916898e~9; tdev: (44062342e~10, 14599894e~9, 85450580e~10, 38949148e~10, 44916898e~9, 15313749e~9, ); maxdev: (0e0, 0e0, 0e0, 0e0, 15234595e~9, 0e0, )
3: 25e~2: (170629915e~8, 133141154e~8, 80834764e~8, 19990123e~8, ~130701366e~8, 55760675e~8, ) - (171917807e~8, 137084810e~8, 83545082e~8, 21201775e~8, ~118892592e~8, 60198416e~8, ); devs: 24; width: 59043869e~9; tdev: (64394628e~10, 19718276e~9, 13551590e~9, 60582613e~10, 59043869e~9, 22188702e~9, ); maxdev: (0e0, 0e0, 0e0, 0e0, 15122863e~9, 0e0, )
4: 3125e~4: (177994293e~8, 106279071e~8, 72193802e~8, 22919707e~8, ~140963003e~8, 41480865e~8, ) - (179782428e~8, 110902967e~8, 76087990e~8, 24663234e~8, ~126719872e~8, 47011702e~8, ); devs: 32; width: 71215654e~9; tdev: (89406781e~10, 23119478e~9, 19470938e~9, 87176341e~10, 71215654e~9, 27654184e~9, ); maxdev: (0e0, 0e0, 0e0, 0e0, 14134823e~9, 0e0, )
5: 375e~3: (183749255e~8, 80853937e~8, 63143345e~8, 25021092e~8, ~142313703e~8, 28530025e~8, ) - (186033932e~8, 86117518e~8, 68419085e~8, 27326737e~8, ~126261185e~8, 35205089e~8, ); devs: 34; width: 80262587e~9; tdev: (11423383e~9, 26317901e~9, 26378696e~9, 11528222e~9, 80262587e~9, 33375317e~9, ); maxdev: (0e0, 0e0, 0e0, 0e0, 12916451e~9, 0e0, )
ML_statistics = :now=1464100428.27tasks_ready=496tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=946size_allocation=2669674496size_allocation_free=2669674496size_heap=6231732224size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2670940264threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1651.524time_GC=108.496user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
6: 4375e~4: (188007898e~8, 57567881e~8, 54198630e~8, 26373241e~8, ~136841383e~8, 17420753e~8, ) - (190786253e~8, 63642297e~8, 60966798e~8, 29324673e~8, ~119544638e~8, 25643669e~8, ); devs: 46; width: 86483728e~9; tdev: (13891778e~9, 30372081e~9, 33840842e~9, 14757160e~9, 86483728e~9, 41114580e~9, ); maxdev: (0e0, 0e0, 0e0, 0e0, 10993873e~9, 0e0, )
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=51956name=byelapsed=0.529
7: 5e~1: (190924210e~8, 36422505e~8, 45733094e~8, 27111983e~8, ~127119342e~8, 81283628e~9, ) - (194188670e~8, 44311158e~8, 54050715e~8, 30790079e~8, ~108565284e~8, 18827121e~8, ); devs: 47; width: 92770291e~9; tdev: (16322303e~9, 39443262e~9, 41588107e~9, 18390478e~9, 92770291e~9, 53493790e~9, ); maxdev: (0e0, 0e0, 0e0, 0e0, 11126757e~9, 0e0, )
8: 5625e~4: (192566747e~8, 18078335e~8, 37952226e~8, 27342716e~8, ~115207140e~8, 81520824e~10, ) - (196508386e~8, 27658301e~8, 47877145e~8, 31896074e~8, ~95355769e~8, 14395996e~8, ); devs: 52; width: 99256853e~9; tdev: (19708195e~9, 47899830e~9, 49624594e~9, 22766792e~9, 99256853e~9, 67903941e~9, ); maxdev: (0e0, 0e0, 0e0, 0e0, 11271355e~9, 0e0, )
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=52198name=byelapsed=0.184
9: 625e~3: (193161018e~8, 25682252e~9, 30948279e~8, 27176994e~8, ~102994771e~8, ~44203617e~9, ) - (197853693e~8, 13395693e~8, 42533031e~8, 32785724e~8, ~81159171e~8, 11661107e~8, ); devs: 59; width: 10917799e~8; tdev: (23463378e~9, 54137341e~9, 57923761e~9, 28043647e~9, 10917799e~8, 80407348e~9, ); maxdev: (0e0, 0e0, 0e0, 0e0, 10948936e~9, 0e0, )
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=52305name=byelapsed=0.170
ML_statistics = :now=1464100428.77tasks_ready=498tasks_pending=3tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=946size_allocation=2669674496size_allocation_free=1945301872size_heap=6231732224size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2670940264threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1652.86time_GC=108.496user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
"Some
  (FloatR 10 (- 4),
   [(FloatR 0 0,
     (FloatR 1303479 (- 20), FloatR 1350315 (- 27), FloatR 1289823 (- 22),
      FloatR (- 1466829) (- 29), FloatR (- 1540029) (- 20),
      FloatR (- 1900998) (- 25)),
     (FloatR 2078666 (- 20), FloatR 1196032 (- 19), FloatR 1048576 (- 20),
      FloatR 1375557 (- 22), FloatR 1733804 (- 26), FloatR 1048576 (- 20)),
     FloatR 10 (- 4),
     (FloatR 2025440 (- 20), FloatR 1723506 (- 26), FloatR 1298064 (- 22),
      FloatR 1139885 (- 22), FloatR (- 1079979) (- 20),
      FloatR (- 1483228) (- 25)),
     FloatR 2074647 (- 20), FloatR 1123713 (- 23), FloatR 1783965 (- 22),
     FloatR 1375133 (- 22), FloatR (- 1702031) (- 21),
     FloatR 1956410 (- 24))])"
  :: "(real \<times>
       (real \<times>
        (real \<times>
         real \<times>
         real \<times> real \<times> real \<times> real) \<times>
        (real \<times>
         real \<times>
         real \<times> real \<times> real \<times> real) \<times>
        real \<times>
        (real \<times>
         real \<times>
         real \<times> real \<times> real \<times> real) \<times>
        real \<times>
        real \<times>
        real \<times> real \<times> real \<times> real) list) option"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Variational_Equation.thyoffset=3746name=valueelapsed=58.054
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=53085name=byelapsed=0.172
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=53235name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=53412name=byelapsed=0.152
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=53649name=byelapsed=0.120
ML_statistics = :now=1464100429.28tasks_ready=488tasks_pending=3tasks_running=6tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=946size_allocation=2669674496size_allocation_free=306643032size_heap=6231732224size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2670940264threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1656.044time_GC=108.496user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=53852name=byelapsed=0.250
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=52543name=byelapsed=0.832
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=54079name=byelapsed=0.052
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=166297name=byelapsed=4.020
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=54583name=byelapsed=0.147
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=58444name=byelapsed=0.012
ML_statistics = :now=1464100429.79tasks_ready=479tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=947size_allocation=2720006144size_allocation_free=2720006144size_heap=6284161024size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2721084192threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1656.78time_GC=108.528user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=63089name=byelapsed=0.160
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=58864name=byelapsed=0.143
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=59300name=byelapsed=0.121
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=59642name=henceelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=59763name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=58993name=byelapsed=0.236
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=59953name=subgoalelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=59953name=subgoalelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=61631name=byelapsed=0.083
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=60005name=subgoalelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=62958name=byelapsed=0.631
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=61944name=byelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=60005name=subgoalelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=60531name=byelapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=62049name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=60275name=byelapsed=0.143
ML_statistics = :now=1464100430.3tasks_ready=466tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=947size_allocation=2720006144size_allocation_free=402006656size_heap=6284161024size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2721084192threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1659.972time_GC=108.528user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=1877name=byelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=1999name=byelapsed=0.018
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=8482name=byelapsed=0.016
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=60806name=byelapsed=0.173
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=8625name=byelapsed=0.016
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=11254name=subgoalelapsed=0.075
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=11254name=subgoalelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=11278name=subgoalelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=11278name=subgoalelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=11396name=subgoalelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=11396name=subgoalelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=9079name=byelapsed=0.020
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=8913name=byelapsed=0.300
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=14419name=byelapsed=0.071
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=9182name=byelapsed=0.096
ML_statistics = :now=1464100430.81tasks_ready=452tasks_pending=3tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=948size_allocation=2722103296size_allocation_free=2722103296size_heap=6285209600size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2723377808threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1660.692time_GC=108.564user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=14663name=applyelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=9362name=byelapsed=0.092
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=15381name=byelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=18727name=byelapsed=0.021
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=14713name=applyelapsed=0.125
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=14796name=applyelapsed=0.116
### Rule already declared as introduction (intro)
### ?d \<le> ?e \<Longrightarrow> cball ?x ?d \<subseteq> cball ?x ?e
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=19896name=byelapsed=0.236
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command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=71395name=byelapsed=0.021
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=71607name=byelapsed=0.059
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=71761name=byelapsed=0.020
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=71839name=byelapsed=0.134
ML_statistics = :now=1464100452.67tasks_ready=372tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=965size_allocation=2674917376size_allocation_free=1865437128size_heap=6278918144size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2676526040threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1744.028time_GC=109.192user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
### Rule already declared as introduction (intro)
### ((\<lambda>x. x) \<longlongrightarrow> ?a) (at ?a within ?s)
### Rule already declared as introduction (intro)
### ((\<lambda>x. ?k) \<longlongrightarrow> ?k) ?F
### Rule already declared as introduction (intro)
### (?f \<longlongrightarrow> ?x) ?F \<Longrightarrow>
### ((\<lambda>x. ereal (?f x)) \<longlongrightarrow> ereal ?x) ?F
### Rule already declared as introduction (intro)
### (?f \<longlongrightarrow> ?x) ?F \<Longrightarrow>
### ((\<lambda>x. - ?f x) \<longlongrightarrow> - ?x) ?F
### Rule already declared as introduction (intro)
### \<lbrakk>\<bar>?c\<bar> \<noteq> \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?c * ?f x) \<longlongrightarrow> ?c * ?x) ?F
### Rule already declared as introduction (intro)
### \<lbrakk>?x \<noteq> 0; (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?c * ?f x) \<longlongrightarrow> ?c * ?x) ?F
### Rule already declared as introduction (intro)
### \<lbrakk>?y \<noteq> - \<infinity>; ?x \<noteq> - \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?f x + ?y) \<longlongrightarrow> ?x + ?y) ?F
### Rule already declared as introduction (intro)
### \<lbrakk>\<bar>?y\<bar> \<noteq> \<infinity>;
###  (?f \<longlongrightarrow> ?x) ?F\<rbrakk>
### \<Longrightarrow> ((\<lambda>x. ?f x + ?y) \<longlongrightarrow> ?x + ?y) ?F
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=70934name=byelapsed=0.578
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=72372name=henceelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=72417name=henceelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=72530name=thuselapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=72794name=byelapsed=0.067
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=73040name=byelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=78976name=byelapsed=0.022
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=72172name=byelapsed=0.433
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=76911name=byelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=77179name=byelapsed=0.014
ML_statistics = :now=1464100453.17tasks_ready=359tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=965size_allocation=2674917376size_allocation_free=1050158856size_heap=6278918144size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2676526040threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1745.536time_GC=109.192user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Numerics/Euler_Affine.thyoffset=46905name=byelapsed=2.295
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=97182name=byelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=96937name=byelapsed=0.083
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=99841name=byelapsed=0.081
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=79187name=byelapsed=0.172
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=100193name=byelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=104188name=byelapsed=0.063
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=100062name=byelapsed=0.272
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=104407name=byelapsed=0.225
### Ignoring duplicate rewrite rule:
### ?g1 integrable_on {?b1..?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### ?h1 integrable_on closed_segment ?a1 ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. ?c1) integrable_on closed_segment ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. x) integrable_on closed_segment ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. x) integrable_on cbox ?a1 ?b1 \<equiv> True
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=104538name=byelapsed=0.051
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. of_real ?c1 * ?f1 x) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. ?f1 x * of_real ?c1) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. ?f1 x / of_real ?c1) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=100799name=byelapsed=0.237
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=100942name=byelapsed=0.052
### Ignoring duplicate rewrite rule:
### ?g1 integrable_on {?b1..?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### ?h1 integrable_on closed_segment ?a1 ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### open {} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed UNIV \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. ?c1) integrable_on closed_segment ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### closed ?S1 \<Longrightarrow> closed (insert ?a1 ?S1) \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. x) integrable_on closed_segment ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### open {?a1<..} \<equiv> True
### Ignoring duplicate rewrite rule:
### open {..<?a1} \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. x) integrable_on cbox ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### open {?a1<..<?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {..?a1} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {?a1..} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {?a1..?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous bot ?f1 \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous (at ?x1 within ?S1) (\<lambda>x. x) \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous ?F1 (\<lambda>x. ?c1) \<equiv> True
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. of_real ?c1 * ?f1 x) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. ?f1 x * of_real ?c1) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; ?f1 ?a1 \<noteq> (0::?'b1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. inverse (?f1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. ?f1 x / of_real ?c1) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; ?g1 ?a1 \<noteq> (0::?'b1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. ?f1 x / ?g1 x) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; 0 < ?f1 ?a1; ?f1 ?a1 \<noteq> 1;
###  0 < ?g1 ?a1\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. log (?f1 x) (?g1 x)) ?a1 \<equiv> True
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=101402name=byelapsed=0.080
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; ?f1 ?a1 \<noteq> 0\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. ?f1 x powr ?g1 x) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; cos (?f1 ?a1) \<noteq> (0::?'a1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. tan (?f1 x)) ?a1 \<equiv> True
ML_statistics = :now=1464100453.71tasks_ready=348tasks_pending=3tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=966size_allocation=2661285888size_allocation_free=2661285888size_heap=6282063872size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2662804848threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1747.344time_GC=109.244user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=101618name=byelapsed=0.019
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; sin (?f1 ?a1) \<noteq> (0::?'a1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. cot (?f1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous ?F1 ?g1 \<Longrightarrow>
### continuous ?F1 (\<lambda>x. cnj (?g1 x)) \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous_on ?s1 ?g1 \<Longrightarrow>
### continuous_on ?s1 (\<lambda>x. cnj (?g1 x)) \<equiv> True
### Ignoring duplicate rewrite rule:
### ?g1 integrable_on {?b1..?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### ?h1 integrable_on closed_segment ?a1 ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### open {} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed UNIV \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. ?c1) integrable_on closed_segment ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### closed ?S1 \<Longrightarrow> closed (insert ?a1 ?S1) \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. x) integrable_on closed_segment ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### open {?a1<..} \<equiv> True
### Ignoring duplicate rewrite rule:
### open {..<?a1} \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. x) integrable_on cbox ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### open {?a1<..<?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {..?a1} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {?a1..} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {?a1..?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous bot ?f1 \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous (at ?x1 within ?S1) (\<lambda>x. x) \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous ?F1 (\<lambda>x. ?c1) \<equiv> True
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. of_real ?c1 * ?f1 x) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. ?f1 x * of_real ?c1) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. ?f1 x / of_real ?c1) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; ?f1 ?a1 \<noteq> (0::?'b1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. inverse (?f1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; ?g1 ?a1 \<noteq> (0::?'b1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. ?f1 x / ?g1 x) ?a1 \<equiv> True
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=105270name=byelapsed=0.213
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; 0 < ?f1 ?a1; ?f1 ?a1 \<noteq> 1;
###  0 < ?g1 ?a1\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. log (?f1 x) (?g1 x)) ?a1 \<equiv> True
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; ?f1 ?a1 \<noteq> 0\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. ?f1 x powr ?g1 x) ?a1 \<equiv> True
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; cos (?f1 ?a1) \<noteq> (0::?'a1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. tan (?f1 x)) ?a1 \<equiv> True
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; sin (?f1 ?a1) \<noteq> (0::?'a1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. cot (?f1 x)) ?a1 \<equiv> True
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Ignoring duplicate rewrite rule:
### continuous ?F1 ?g1 \<Longrightarrow>
### continuous ?F1 (\<lambda>x. cnj (?g1 x)) \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous_on ?s1 ?g1 \<Longrightarrow>
### continuous_on ?s1 (\<lambda>x. cnj (?g1 x)) \<equiv> True
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Ignoring duplicate rewrite rule:
### ?g1 integrable_on {?b1..?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### ?h1 integrable_on closed_segment ?a1 ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. ?c1) integrable_on closed_segment ?a1 ?b1 \<equiv> True
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Ignoring duplicate rewrite rule:
### (\<lambda>x. x) integrable_on closed_segment ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. x) integrable_on cbox ?a1 ?b1 \<equiv> True
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. of_real ?c1 * ?f1 x) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. ?f1 x * of_real ?c1) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. ?f1 x / of_real ?c1) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=101821name=byelapsed=0.133
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=105803name=byelapsed=0.277
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=102087name=showelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=102463name=showelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=106048name=byelapsed=0.150
### Ignoring duplicate rewrite rule:
### open {} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed UNIV \<equiv> True
### Ignoring duplicate rewrite rule:
### closed ?S1 \<Longrightarrow> closed (insert ?a1 ?S1) \<equiv> True
### Ignoring duplicate rewrite rule:
### open {?a1<..} \<equiv> True
### Ignoring duplicate rewrite rule:
### open {..<?a1} \<equiv> True
### Ignoring duplicate rewrite rule:
### open {?a1<..<?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {..?a1} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {?a1..} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {?a1..?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous bot ?f1 \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous (at ?x1 within ?S1) (\<lambda>x. x) \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous ?F1 (\<lambda>x. ?c1) \<equiv> True
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; ?f1 ?a1 \<noteq> (0::?'b1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. inverse (?f1 x)) ?a1 \<equiv> True
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; ?g1 ?a1 \<noteq> (0::?'b1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. ?f1 x / ?g1 x) ?a1 \<equiv> True
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; 0 < ?f1 ?a1; ?f1 ?a1 \<noteq> 1;
###  0 < ?g1 ?a1\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. log (?f1 x) (?g1 x)) ?a1 \<equiv> True
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; ?f1 ?a1 \<noteq> 0\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. ?f1 x powr ?g1 x) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; cos (?f1 ?a1) \<noteq> (0::?'a1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. tan (?f1 x)) ?a1 \<equiv> True
ML_statistics = :now=1464100454.21tasks_ready=342tasks_pending=3tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=966size_allocation=2661285888size_allocation_free=1781381600size_heap=6282063872size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2662804848threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1748.628time_GC=109.244user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; sin (?f1 ?a1) \<noteq> (0::?'a1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. cot (?f1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous ?F1 ?g1 \<Longrightarrow>
### continuous ?F1 (\<lambda>x. cnj (?g1 x)) \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous_on ?s1 ?g1 \<Longrightarrow>
### continuous_on ?s1 (\<lambda>x. cnj (?g1 x)) \<equiv> True
### Ignoring duplicate rewrite rule:
### ?g1 integrable_on {?b1..?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### ?h1 integrable_on closed_segment ?a1 ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. ?c1) integrable_on closed_segment ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. x) integrable_on closed_segment ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. x) integrable_on cbox ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. of_real ?c1 * ?f1 x) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. ?f1 x * of_real ?c1) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. ?f1 x / of_real ?c1) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=102667name=qedelapsed=0.233
### Ignoring duplicate rewrite rule:
### open {} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed UNIV \<equiv> True
### Ignoring duplicate rewrite rule:
### closed ?S1 \<Longrightarrow> closed (insert ?a1 ?S1) \<equiv> True
### Ignoring duplicate rewrite rule:
### open {?a1<..} \<equiv> True
### Ignoring duplicate rewrite rule:
### open {..<?a1} \<equiv> True
### Ignoring duplicate rewrite rule:
### open {?a1<..<?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {..?a1} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {?a1..} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {?a1..?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous bot ?f1 \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous (at ?x1 within ?S1) (\<lambda>x. x) \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous ?F1 (\<lambda>x. ?c1) \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; ?f1 ?a1 \<noteq> (0::?'b1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. inverse (?f1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; ?g1 ?a1 \<noteq> (0::?'b1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. ?f1 x / ?g1 x) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; 0 < ?f1 ?a1; ?f1 ?a1 \<noteq> 1;
###  0 < ?g1 ?a1\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. log (?f1 x) (?g1 x)) ?a1 \<equiv> True
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=106285name=byelapsed=0.323
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; ?f1 ?a1 \<noteq> 0\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. ?f1 x powr ?g1 x) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; cos (?f1 ?a1) \<noteq> (0::?'a1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. tan (?f1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; sin (?f1 ?a1) \<noteq> (0::?'a1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. cot (?f1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous ?F1 ?g1 \<Longrightarrow>
### continuous ?F1 (\<lambda>x. cnj (?g1 x)) \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous_on ?s1 ?g1 \<Longrightarrow>
### continuous_on ?s1 (\<lambda>x. cnj (?g1 x)) \<equiv> True
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=106541name=showelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=106802name=showelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=102865name=byelapsed=0.207
### Ignoring duplicate rewrite rule:
### open {} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed UNIV \<equiv> True
### Ignoring duplicate rewrite rule:
### closed ?S1 \<Longrightarrow> closed (insert ?a1 ?S1) \<equiv> True
### Ignoring duplicate rewrite rule:
### open {?a1<..} \<equiv> True
### Ignoring duplicate rewrite rule:
### open {..<?a1} \<equiv> True
### Ignoring duplicate rewrite rule:
### open {?a1<..<?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {..?a1} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {?a1..} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {?a1..?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous bot ?f1 \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous (at ?x1 within ?S1) (\<lambda>x. x) \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous ?F1 (\<lambda>x. ?c1) \<equiv> True
### Ignoring duplicate rewrite rule:
### open {} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed UNIV \<equiv> True
### Ignoring duplicate rewrite rule:
### closed ?S1 \<Longrightarrow> closed (insert ?a1 ?S1) \<equiv> True
### Ignoring duplicate rewrite rule:
### open {?a1<..} \<equiv> True
### Ignoring duplicate rewrite rule:
### open {..<?a1} \<equiv> True
### Ignoring duplicate rewrite rule:
### open {?a1<..<?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {..?a1} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {?a1..} \<equiv> True
### Ignoring duplicate rewrite rule:
### closed {?a1..?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous bot ?f1 \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous (at ?x1 within ?S1) (\<lambda>x. x) \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; ?f1 ?a1 \<noteq> (0::?'b1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. inverse (?f1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous ?F1 (\<lambda>x. ?c1) \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; ?f1 ?a1 \<noteq> (0::?'b1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. inverse (?f1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; ?g1 ?a1 \<noteq> (0::?'b1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. ?f1 x / ?g1 x) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; ?g1 ?a1 \<noteq> (0::?'b1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. ?f1 x / ?g1 x) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; 0 < ?f1 ?a1; ?f1 ?a1 \<noteq> 1;
###  0 < ?g1 ?a1\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. log (?f1 x) (?g1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; 0 < ?f1 ?a1; ?f1 ?a1 \<noteq> 1;
###  0 < ?g1 ?a1\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. log (?f1 x) (?g1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; ?f1 ?a1 \<noteq> 0\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. ?f1 x powr ?g1 x) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; cos (?f1 ?a1) \<noteq> (0::?'a1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. tan (?f1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; isCont ?g1 ?a1; ?f1 ?a1 \<noteq> 0\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. ?f1 x powr ?g1 x) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; sin (?f1 ?a1) \<noteq> (0::?'a1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. cot (?f1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous ?F1 ?g1 \<Longrightarrow>
### continuous ?F1 (\<lambda>x. cnj (?g1 x)) \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous_on ?s1 ?g1 \<Longrightarrow>
### continuous_on ?s1 (\<lambda>x. cnj (?g1 x)) \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; cos (?f1 ?a1) \<noteq> (0::?'a1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. tan (?f1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### ?g1 integrable_on {?b1..?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### ?h1 integrable_on closed_segment ?a1 ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. ?c1) integrable_on closed_segment ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. x) integrable_on closed_segment ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. x) integrable_on cbox ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### \<lbrakk>isCont ?f1 ?a1; sin (?f1 ?a1) \<noteq> (0::?'a1)\<rbrakk>
### \<Longrightarrow> isCont (\<lambda>x. cot (?f1 x)) ?a1 \<equiv> True
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. of_real ?c1 * ?f1 x) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
### Ignoring duplicate rewrite rule:
### continuous ?F1 ?g1 \<Longrightarrow>
### continuous ?F1 (\<lambda>x. cnj (?g1 x)) \<equiv> True
### Ignoring duplicate rewrite rule:
### continuous_on ?s1 ?g1 \<Longrightarrow>
### continuous_on ?s1 (\<lambda>x. cnj (?g1 x)) \<equiv> True
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. ?f1 x * of_real ?c1) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. ?f1 x / of_real ?c1) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
### Ignoring duplicate rewrite rule:
### ?g1 integrable_on {?b1..?b1} \<equiv> True
### Ignoring duplicate rewrite rule:
### ?h1 integrable_on closed_segment ?a1 ?a1 \<equiv> True
ML_statistics = :now=1464100454.74tasks_ready=342tasks_pending=3tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=967size_allocation=2659188736size_allocation_free=2659188736size_heap=6285209600size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2660831384threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1751.512time_GC=109.284user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
### Ignoring duplicate rewrite rule:
### (\<lambda>x. ?c1) integrable_on closed_segment ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. x) integrable_on closed_segment ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### (\<lambda>x. x) integrable_on cbox ?a1 ?b1 \<equiv> True
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. of_real ?c1 * ?f1 x) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. ?f1 x * of_real ?c1) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
### Ignoring duplicate rewrite rule:
### ?c1 \<noteq> 0 \<Longrightarrow>
### (\<lambda>x. ?f1 x / of_real ?c1) integrable_on ?s1 \<equiv>
### ?f1 integrable_on ?s1
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=106982name=qedelapsed=0.285
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=107180name=byelapsed=0.283
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=103086name=byelapsed=0.016
### Rule already declared as introduction (intro)
### open {}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=107386name=byelapsed=0.013
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=103261name=byelapsed=0.104
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=107562name=byelapsed=0.108
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=103433name=byelapsed=0.028
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=131988name=byelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=132555name=byelapsed=0.021
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=132132name=byelapsed=0.016
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=132694name=fixelapsed=0.065
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Ignoring duplicate safe introduction (intro!)
### \<lbrakk>open ?s; continuous_on UNIV ?f\<rbrakk>
### \<Longrightarrow> open (?f -` ?s)
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### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
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### Rule already declared as introduction (intro)
### ?d \<le> ?e \<Longrightarrow> cball ?x ?d \<subseteq> cball ?x ?e
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### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=51303name=byelapsed=0.045
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=70376name=byelapsed=0.010
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=72397name=byelapsed=0.021
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
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### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
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### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162699name=byelapsed=0.414
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
ML_statistics = :now=1464100465.48tasks_ready=259tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=975size_allocation=2620391424size_allocation_free=1806718408size_heap=6284161024size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2621875000threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1791.956time_GC=109.672user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=142234name=fixelapsed=0.035
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=141967name=byelapsed=0.095
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=142252name=haveelapsed=0.036
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=142425name=haveelapsed=0.040
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=142531name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=142982name=showelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=143285name=byelapsed=0.176
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=143819name=byelapsed=0.105
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=144205name=byelapsed=0.115
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=144544name=henceelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=147483name=byelapsed=0.022
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=144654name=haveelapsed=0.037
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=144851name=haveelapsed=0.039
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=145093name=haveelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=147720name=byelapsed=0.125
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=145379name=showelapsed=0.045
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=148066name=fixelapsed=0.034
ML_statistics = :now=1464100465.99tasks_ready=260tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=975size_allocation=2620391424size_allocation_free=872056112size_heap=6284161024size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2621875000threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1793.556time_GC=109.672user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=145648name=nextelapsed=0.032
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=148106name=showelapsed=0.052
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=145700name=henceelapsed=0.032
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=145754name=haveelapsed=0.037
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=145957name=haveelapsed=0.039
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=148649name=byelapsed=0.135
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=146205name=haveelapsed=0.039
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=146498name=haveelapsed=0.107
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=146824name=haveelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=148952name=byelapsed=0.181
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=147084name=finallyelapsed=0.033
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=149121name=haveelapsed=0.047
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=147092name=showelapsed=0.052
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=149369name=haveelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=151116name=byelapsed=0.047
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=149688name=haveelapsed=0.046
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
ML_statistics = :now=1464100466.54tasks_ready=266tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=976size_allocation=2618294272size_allocation_free=2618294272size_heap=6279966720size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2619453736threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1795.32time_GC=109.728user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=149874name=finallyelapsed=0.039
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=149882name=showelapsed=0.042
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=149930name=nextelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=149947name=haveelapsed=0.044
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=150417name=haveelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=150833name=haveelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=151004name=finallyelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=151322name=byelapsed=0.341
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=151012name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=151534name=byelapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=152573name=byelapsed=0.028
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=151713name=haveelapsed=0.046
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=152740name=byelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=152020name=ultimatelyelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=152031name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=152867name=byelapsed=0.066
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=168029name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=152060name=nextelapsed=0.037
ML_statistics = :now=1464100467.04tasks_ready=265tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=976size_allocation=2618294272size_allocation_free=1847614864size_heap=6279966720size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2619453736threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1796.916time_GC=109.728user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=152119name=haveelapsed=0.047
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=152426name=ultimatelyelapsed=0.037
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=152437name=showelapsed=0.039
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=168072name=byelapsed=0.395
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=168215name=byelapsed=0.116
ML_statistics = :now=1464100467.54tasks_ready=264tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=976size_allocation=2618294272size_allocation_free=330403200size_heap=6279966720size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2619453736threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1800.1time_GC=109.728user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=24915name=byelapsed=0.232
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=24988name=byelapsed=0.012
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=25055name=byelapsed=0.041
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Picard_Lindeloef_Qualitative.thyoffset=25248name=byelapsed=0.024
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Variational_Equation.thyoffset=5665name=applyelapsed=0.023
### Rule already declared as introduction (intro)
### (\<And>x. ?f x = ?g x) \<Longrightarrow> ?f = ?g
ML_statistics = :now=1464100468.05tasks_ready=258tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=977size_allocation=2606759936size_allocation_free=2606759936size_heap=6281015296size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2607734872threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1800.752time_GC=109.78user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=168186name=byelapsed=1.165
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=135012name=byelapsed=0.013
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=135141name=byelapsed=0.016
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=137742name=byelapsed=0.030
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=138059name=byelapsed=0.021
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
ML_statistics = :now=1464100468.56tasks_ready=245tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=977size_allocation=2606759936size_allocation_free=932472584size_heap=6281015296size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2607734872threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1803.948time_GC=109.78user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=141730name=byelapsed=0.096
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=142643name=byelapsed=0.038
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=145060name=byelapsed=0.036
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=145580name=byelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=148296name=byelapsed=0.010
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=146172name=byelapsed=0.026
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_Variational_Equation.thyoffset=5957name=byelapsed=0.916
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=146799name=byelapsed=0.027
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=147026name=byelapsed=0.023
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=149303name=byelapsed=0.186
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=149520name=byelapsed=0.234
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=150537name=subgoalelapsed=0.040
ML_statistics = :now=1464100469.12tasks_ready=223tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=978size_allocation=2601517056size_allocation_free=2601517056size_heap=6281015296size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2602888904threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1805.556time_GC=109.836user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=150537name=subgoalelapsed=0.043
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=150635name=subgoalelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=150635name=subgoalelapsed=0.054
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=150666name=subgoalelapsed=0.040
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=162855name=byelapsed=4.090
### Ignoring duplicate rewrite rule:
### integral {?a1..?b1} (\<lambda>x. ?c1) \<equiv>
### content {?a1..?b1} *\<^sub>R ?c1
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=150666name=subgoalelapsed=0.043
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=150947name=byelapsed=0.141
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=152044name=byelapsed=0.012
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=151883name=byelapsed=0.298
ML_statistics = :now=1464100469.62tasks_ready=222tasks_pending=3tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=4partial_GCs=978size_allocation=2601517056size_allocation_free=1825284584size_heap=6281015296size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2602888904threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1807.124time_GC=109.836user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=152462name=byelapsed=0.029
### Rule already declared as introduction (intro)
### open {}
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; open ?T\<rbrakk> \<Longrightarrow> open (?S \<union> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. open (?B x) \<Longrightarrow>
### open (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. open T\<rbrakk>
### \<Longrightarrow> open (\<Inter>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. open (?B x)\<rbrakk>
### \<Longrightarrow> open (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### closed {}
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<union> ?T)
### Rule already declared as introduction (intro)
### closed UNIV
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; closed ?T\<rbrakk>
### \<Longrightarrow> closed (?S \<inter> ?T)
### Rule already declared as introduction (intro)
### \<forall>x\<in>?A. closed (?B x) \<Longrightarrow>
### closed (\<Inter>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<forall>S\<in>?K. closed S \<Longrightarrow> closed (\<Inter>?K)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?S; \<forall>T\<in>?S. closed T\<rbrakk>
### \<Longrightarrow> closed (\<Union>?S)
### Rule already declared as introduction (intro)
### \<lbrakk>finite ?A; \<forall>x\<in>?A. closed (?B x)\<rbrakk>
### \<Longrightarrow> closed (\<Union>x\<in>?A. ?B x)
### Rule already declared as introduction (intro)
### \<lbrakk>open ?S; closed ?T\<rbrakk> \<Longrightarrow> open (?S - ?T)
### Rule already declared as introduction (intro)
### \<lbrakk>closed ?S; open ?T\<rbrakk> \<Longrightarrow> closed (?S - ?T)
### Rule already declared as introduction (intro)
### closed ?S \<Longrightarrow> open (- ?S)
### Rule already declared as introduction (intro)
### open ?S \<Longrightarrow> closed (- ?S)
### Rule already declared as introduction (intro)
### continuous_on ?s (linepath ?a ?b)
### Rule already declared as introduction (intro)
### continuous_on {?a..?b} ?f \<Longrightarrow> ?f integrable_on {?a..?b}
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=150584name=byelapsed=0.113
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=150643name=byelapsed=0.018
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=152291name=byelapsed=0.318
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=150126name=byelapsed=0.815
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=27686name=byelapsed=0.012
"{1287426934 / 10 ^ 9..1287426957 / 10 ^ 9}"
  :: "real set"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=10502name=approximateelapsed=0.026
"{1142857141 / 10 ^ 9..1142857144 / 10 ^ 9}"
  :: "real set"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=10945name=approximateelapsed=0.020
"{1153153152 / 10 ^ 9..1153153155 / 10 ^ 9}"
  :: "real set"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=11042name=approximateelapsed=0.021
\<lbrakk>?A \<noteq> {}; compact ?A; open ?B; ?A \<subseteq> ?B;
 \<And>e.
    \<lbrakk>0 < e; {x. infdist x ?A \<le> e} \<subseteq> ?B\<rbrakk>
    \<Longrightarrow> ?thesis\<rbrakk>
\<Longrightarrow> ?thesis
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Flow.thyoffset=67666name=thmelapsed=0.024
ML_statistics = :now=1464100470.12tasks_ready=0tasks_pending=3tasks_running=3tasks_passive=0tasks_urgent=0workers_total=8workers_active=3workers_waiting=0full_GCs=4partial_GCs=978size_allocation=2601517056size_allocation_free=872292088size_heap=6281015296size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2602888904threads_in_ML=4threads_total=11threads_wait_condvar=6threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1808.712time_GC=109.836user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
"(1::'a) /
 ((1::'a) -
  ((1::'a) + (1::'a) + (1::'a) + ((1::'a) + (1::'a) + (1::'a)) + (1::'a) +
   ((1::'a) + (1::'a) + (1::'a) + ((1::'a) + (1::'a) + (1::'a)) + (1::'a)) +
   (1::'a) +
   ((1::'a) + (1::'a) + (1::'a) + ((1::'a) + (1::'a) + (1::'a)) + (1::'a) +
    ((1::'a) + (1::'a) + (1::'a) + ((1::'a) + (1::'a) + (1::'a)) +
     (1::'a)) +
    (1::'a)) +
   (1::'a) +
   ((1::'a) + (1::'a) + (1::'a) + ((1::'a) + (1::'a) + (1::'a)) + (1::'a) +
    ((1::'a) + (1::'a) + (1::'a) + ((1::'a) + (1::'a) + (1::'a)) +
     (1::'a)) +
    (1::'a) +
    ((1::'a) + (1::'a) + (1::'a) + ((1::'a) + (1::'a) + (1::'a)) + (1::'a) +
     ((1::'a) + (1::'a) + (1::'a) + ((1::'a) + (1::'a) + (1::'a)) +
      (1::'a)) +
     (1::'a)) +
    (1::'a)) +
   ((1::'a) + (1::'a) + (1::'a) + ((1::'a) + (1::'a) + (1::'a)) + (1::'a) +
    ((1::'a) + (1::'a) + (1::'a) + ((1::'a) + (1::'a) + (1::'a)) +
     (1::'a)) +
    (1::'a) +
    ((1::'a) + (1::'a) + (1::'a) + ((1::'a) + (1::'a) + (1::'a)) + (1::'a) +
     ((1::'a) + (1::'a) + (1::'a) + ((1::'a) + (1::'a) + (1::'a)) +
      (1::'a)) +
     (1::'a)) +
    (1::'a) +
    ((1::'a) + (1::'a) + (1::'a) + ((1::'a) + (1::'a) + (1::'a)) + (1::'a) +
     ((1::'a) + (1::'a) + (1::'a) + ((1::'a) + (1::'a) + (1::'a)) +
      (1::'a)) +
     (1::'a) +
     ((1::'a) + (1::'a) + (1::'a) + ((1::'a) + (1::'a) + (1::'a)) +
      (1::'a) +
      ((1::'a) + (1::'a) + (1::'a) + ((1::'a) + (1::'a) + (1::'a)) +
       (1::'a)) +
      (1::'a)) +
     (1::'a))) +
   (1::'a)) /
  (((1::'a) + (1::'a) + ((1::'a) + (1::'a)) + (1::'a) +
    ((1::'a) + (1::'a) + ((1::'a) + (1::'a)) + (1::'a))) *
   (((1::'a) + (1::'a) + ((1::'a) + (1::'a)) + (1::'a) +
     ((1::'a) + (1::'a) + ((1::'a) + (1::'a)) + (1::'a))) *
    (((1::'a) + (1::'a) + ((1::'a) + (1::'a)) + (1::'a) +
      ((1::'a) + (1::'a) + ((1::'a) + (1::'a)) + (1::'a))) *
     (1::'a)))))"
  :: "'a"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example3.thyoffset=10408name=valueelapsed=0.570
ML_statistics = :now=1464100470.68tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=979size_allocation=2594177024size_allocation_free=1866778304size_heap=6276820992size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2595022040threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1811.42time_GC=109.912user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100471.19tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=979size_allocation=2594177024size_allocation_free=1360009600size_heap=6276820992size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2595022040threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1812.22time_GC=109.912user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100471.69tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=979size_allocation=2594177024size_allocation_free=849545960size_heap=6276820992size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2595022040threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1813.016time_GC=109.912user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100472.21tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=980size_allocation=2579496960size_allocation_free=2579496960size_heap=6282063872size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2580255792threads_in_ML=1threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1814.368time_GC=109.964user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100472.71tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=980size_allocation=2579496960size_allocation_free=2050882904size_heap=6282063872size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2580255792threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1815.168time_GC=109.964user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100473.22tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=980size_allocation=2579496960size_allocation_free=1494052696size_heap=6282063872size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2580255792threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1815.968time_GC=109.964user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100473.72tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=980size_allocation=2579496960size_allocation_free=891499352size_heap=6282063872size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2580255792threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1816.768time_GC=109.964user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100474.36tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=981size_allocation=2579496960size_allocation_free=2579496960size_heap=6263189504size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2580144960threads_in_ML=1threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1818.116time_GC=110.12user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
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ML_statistics = :now=1464100475.36tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=981size_allocation=2579496960size_allocation_free=1557279464size_heap=6263189504size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2580144960threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1819.716time_GC=110.12user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100475.86tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=981size_allocation=2579496960size_allocation_free=611716448size_heap=6263189504size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2580144960threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1821.316time_GC=110.12user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
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ML_statistics = :now=1464100478.92tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=983size_allocation=2551185408size_allocation_free=2065423280size_heap=6285209600size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2551836968threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1827.164time_GC=110.204user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100479.42tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=983size_allocation=2551185408size_allocation_free=1581485704size_heap=6285209600size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2551836968threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1827.964time_GC=110.204user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100479.92tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=983size_allocation=2551185408size_allocation_free=1137841552size_heap=6285209600size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2551836968threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1828.764time_GC=110.204user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100480.49tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=984size_allocation=2551185408size_allocation_free=2551185408size_heap=6275772416size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2552460720threads_in_ML=1threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1830.016time_GC=110.296user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100481tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=984size_allocation=2551185408size_allocation_free=1726113456size_heap=6275772416size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2552460720threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1830.816time_GC=110.296user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100481.5tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=984size_allocation=2551185408size_allocation_free=888538928size_heap=6275772416size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2552460720threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1831.612time_GC=110.296user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100482tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=985size_allocation=2529165312size_allocation_free=2529165312size_heap=6281015296size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2530071592threads_in_ML=1threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1832.528time_GC=110.344user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100482.5tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=985size_allocation=2529165312size_allocation_free=903125704size_heap=6281015296size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2530071592threads_in_ML=1threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1834.128time_GC=110.344user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100483.01tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=985size_allocation=2529165312size_allocation_free=187424656size_heap=6281015296size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2530071592threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1834.924time_GC=110.344user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
ML_statistics = :now=1464100483.72tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=986size_allocation=2532311040size_allocation_free=1768820264size_heap=6251655168size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2533548088threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1835.96time_GC=110.588user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
= Groups: 1
=XS: 1 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 4
aform(2): (128515625e~8, 23046875e~7, ) -- (0e0, 234375e~7, )(3515625e~8, 0e0, )
aform(2): (135546875e~8, 23046875e~7, ) -- (0e0, 234375e~7, )(3515625e~8, 0e0, )
aform(2): (142578125e~8, 23046875e~7, ) -- (0e0, 234375e~7, )(3515625e~8, 0e0, )
aform(2): (149609375e~8, 23046875e~7, ) -- (0e0, 234375e~7, )(3515625e~8, 0e0, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 4
aform(2): (132081353e~8, 22594577e~7, ) -- (0e0, 10084423e~11, )(51045812e~12, 0e0, )(0e0, 78052282e~12, )(36621093e~11, 23198867e~9, )(3515625e~8, ~38033389e~10, )
aform(2): (139106553e~8, 22517108e~7, ) -- (0e0, 13315200e~11, )(54755996e~12, 0e0, )(0e0, 79862773e~12, )(36621093e~11, 23130873e~9, )(3515625e~8, ~39813705e~10, )
aform(2): (146131500e~8, 22436390e~7, ) -- (0e0, 16815953e~11, )(58748295e~12, 0e0, )(0e0, 81673264e~12, )(36621093e~11, 23059258e~9, )(3515625e~8, ~41594022e~10, )
aform(2): (153156198e~8, 22352457e~7, ) -- (0e0, 20577199e~11, )(63051288e~12, 0e0, )(0e0, 83483755e~12, )(36621093e~11, 22984022e~9, )(3515625e~8, ~43374338e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 4
aform(2): (135573835e~8, 22109344e~7, ) -- (0e0, 12212097e~11, )(52555859e~12, 0e0, )(0e0, 27166018e~11, )(53841645e~12, 0e0, )(72869323e~11, 22889106e~9, )(35096822e~9, ~75870834e~10, )
aform(2): (142580962e~8, 21955432e~7, ) -- (0e0, 15507252e~11, )(56250866e~12, 0e0, )(0e0, 30967622e~11, )(58084658e~12, 0e0, )(72763083e~11, 22751354e~9, )(35094041e~9, ~79137404e~10, )
aform(2): (149587125e~8, 21795660e~7, ) -- (0e0, 19020093e~11, )(60214068e~12, 0e0, )(0e0, 35076255e~11, )(62652451e~12, 0e0, )(72651184e~11, 22606914e~9, )(35091259e~9, ~82369728e~10, )
aform(2): (156592341e~8, 21630159e~7, ) -- (0e0, 22731053e~11, )(64470396e~12, 0e0, )(0e0, 39486795e~11, )(67571455e~12, 0e0, )(72533628e~11, 22455853e~9, )(35088477e~9, ~85566288e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 4
aform(2): (138988066e~8, 21592961e~7, ) -- (0e0, 14267628e~11, )(53980341e~12, 0e0, )(0e0, 50278631e~11, )(11255092e~11, 0e0, )(10863355e~10, 22509750e~9, )(34978274e~9, ~11323654e~9, )
aform(2): (145965299e~8, 21364187e~7, ) -- (0e0, 17567732e~11, )(57635989e~12, 0e0, )(0e0, 57999642e~11, )(12159735e~11, 0e0, )(10831207e~10, 22301606e~9, )(34970388e~9, ~11767465e~9, )
aform(2): (152940503e~8, 21127609e~7, ) -- (0e0, 21025883e~11, )(61542722e~12, 0e0, )(0e0, 66321802e~11, )(13131993e~11, 0e0, )(10797448e~10, 22084369e~9, )(34962556e~9, ~12201294e~9, )
aform(2): (159913725e~8, 20883511e~7, ) -- (0e0, 24613407e~11, )(65721585e~12, 0e0, )(0e0, 75228901e~11, )(14176411e~11, 0e0, )(10762090e~10, 21858237e~9, )(34954780e~9, ~12624767e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 4
aform(2): (142319336e~8, 21047439e~7, ) -- (0e0, 16215950e~11, )(55306156e~12, 0e0, )(0e0, 77233442e~11, )(17661747e~11, 0e0, )(14380503e~10, 22063176e~9, )(34801342e~9, ~14985816e~9, )
aform(2): (149255144e~8, 20745921e~7, ) -- (0e0, 19460885e~11, )(58897862e~12, 0e0, )(0e0, 89138499e~11, )(19104155e~11, 0e0, )(14315833e~10, 21785164e~9, )(34786522e~9, ~15513897e~9, )
aform(2): (156187606e~8, 20435334e~7, ) -- (0e0, 22799136e~11, )(62720771e~12, 0e0, )(0e0, 10191958e~10, )(20651148e~11, 0e0, )(14248131e~10, 21496394e~9, )(34771911e~9, ~16022712e~9, )
aform(2): (163116831e~8, 20116159e~7, ) -- (0e0, 26194411e~11, )(66791926e~12, 0e0, )(0e0, 11554468e~10, )(22308644e~11, 0e0, )(14177439e~10, 21197255e~9, )(34757518e~9, ~16511676e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 4
aform(2): (145563265e~8, 20474991e~7, ) -- (0e0, 18024216e~11, )(56520909e~12, 0e0, )(0e0, 10809467e~10, )(24652569e~11, 0e0, )(17827875e~10, 21552572e~9, )(34567189e~9, ~18547153e~9, )
aform(2): (152446488e~8, 20103354e~7, ) -- (0e0, 21155120e~11, )(60024192e~12, 0e0, )(0e0, 12441173e~10, )(26690824e~11, 0e0, )(17719765e~10, 21206367e~9, )(34544117e~9, ~19125903e~9, )
aform(2): (159324903e~8, 197220591e~8, ) -- (0e0, 24311980e~11, )(63736526e~12, 0e0, )(0e0, 14185627e~10, )(28872042e~11, 0e0, )(17606943e~10, 20848531e~9, )(34521556e~9, ~19673870e~9, )
aform(2): (166198714e~8, 193318213e~8, ) -- (0e0, 27452786e~11, )(67670985e~12, 0e0, )(0e0, 16037589e~10, )(31202549e~11, 0e0, )(17489510e~10, 20479688e~9, )(34499523e~9, ~20190348e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 4
aform(2): (148715833e~8, 198780075e~8, ) -- (0e0, 19662796e~11, )(57613194e~12, 0e0, )(0e0, 14290068e~10, )(32275327e~11, 0e0, )(21195464e~10, 20981883e~9, )(34277389e~9, ~21982527e~9, )
aform(2): (155535757e~8, 194393423e~8, ) -- (0e0, 22623940e~11, )(61004188e~12, 0e0, )(0e0, 16382028e~10, )(34967736e~11, 0e0, )(21033260e~10, 20570270e~9, )(34245275e~9, ~22578330e~9, )
aform(2): (162349372e~8, 189910915e~8, ) -- (0e0, 25543596e~11, )(64580397e~12, 0e0, )(0e0, 44236676e~11, )(37842141e~11, 0e0, )(0e0, 14185627e~10, )(20864526e~10, 20146970e~9, )(34214152e~9, ~23130163e~9, )
aform(2): (169157013e~8, 185342270e~8, ) -- (0e0, 28376198e~11, )(68351086e~12, 0e0, )(0e0, 49266054e~11, )(40904553e~11, 0e0, )(0e0, 16037589e~10, )(20689462e~10, 19712863e~9, )(34184049e~9, ~23637360e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 4
aform(2): (151773404e~8, 192590191e~8, ) -- (0e0, 21106155e~11, )(58572869e~12, 0e0, )(0e0, 18166582e~10, )(40576750e~11, 0e0, )(24473883e~10, 20355734e~9, )(33933912e~9, ~25268502e~9, )
aform(2): (158519832e~8, 187568386e~8, ) -- (0e0, 23846668e~11, )(61828837e~12, 0e0, )(0e0, 43521889e~11, )(43981422e~11, 0e0, )(0e0, 16382028e~10, )(24247365e~10, 19882548e~9, )(33892488e~9, ~25848417e~9, )
aform(2): (165258510e~8, 182457783e~8, ) -- (0e0, 26480638e~11, )(65245136e~12, 0e0, )(0e0, 23457022e~10, )(47607079e~11, 0e0, )(24012490e~10, 19398417e~9, )(33852743e~9, ~26370116e~9, )
aform(2): (171989946e~8, 177270761e~8, ) -- (0e0, 28961225e~11, )(68827499e~12, 0e0, )(0e0, 10287073e~10, )(51458739e~11, 0e0, )(0e0, 16037589e~10, )(23769596e~10, 18904492e~9, )(33814715e~9, ~26833181e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 4
aform(2): (154732749e~8, 186206719e~8, ) -- (0e0, 22333553e~11, )(59391293e~12, 0e0, )(0e0, 42717037e~11, )(49602425e~11, 0e0, )(0e0, 18166582e~10, )(27654467e~10, 19679345e~9, )(33539092e~9, ~28383723e~9, )
aform(2): (161396060e~8, 180588583e~8, ) -- (0e0, 24808909e~11, )(62491123e~12, 0e0, )(0e0, 91115833e~11, )(53776646e~11, 0e0, )(0e0, 16382028e~10, )(27354013e~10, 19149373e~9, )(33488607e~9, ~28916148e~9, )
aform(2): (168050337e~8, 174894634e~8, ) -- (0e0, 27117333e~11, )(65726012e~12, 0e0, )(0e0, 52643189e~11, )(58210568e~11, 0e0, )(0e0, 23457022e~10, )(27043493e~10, 18609957e~9, )(33440710e~9, ~29375670e~9, )
aform(2): (174696302e~8, 169139891e~8, ) -- (0e0, 29212949e~11, )(69098533e~12, 0e0, )(0e0, 16070881e~10, )(62907328e~11, 0e0, )(0e0, 16037589e~10, )(26723423e~10, 18062506e~9, )(33395446e~9, ~29762366e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 4
aform(2): (157591054e~8, 179656900e~8, ) -- (0e0, 23329557e~11, )(60061540e~12, 0e0, )(0e0, 89360431e~11, )(59396536e~11, 0e0, )(0e0, 18166582e~10, )(30729365e~10, 18958430e~9, )(33095596e~9, ~31309245e~9, )
aform(2): (164162260e~8, 173484388e~8, ) -- (0e0, 25502758e~11, )(62986196e~12, 0e0, )(0e0, 30654589e~10, )(64396821e~11, 0e0, )(30346102e~10, 18377295e~9, )(33036792e~9, ~31764518e~9, )
aform(2): (170723392e~8, 167254467e~8, ) -- (0e0, 27455263e~11, )(66020911e~12, 0e0, )(0e0, 10936850e~10, )(69694656e~11, 0e0, )(0e0, 23457022e~10, )(29951298e~10, 17788904e~9, )(32981715e~9, ~32132368e~9, )
aform(2): (177275428e~8, 160984665e~8, ) -- (0e0, 29144230e~11, )(69165549e~12, 0e0, )(0e0, 38304924e~10, )(75290596e~11, 0e0, )(29545690e~10, 17194897e~9, )(32930409e~9, ~32413634e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 4
aform(2): (160345939e~8, 172968432e~8, ) -- (0e0, 24084327e~11, )(60578564e~12, 0e0, )(0e0, 13988984e~10, )(70002091e~11, 0e0, )(0e0, 18166582e~10, )(33691619e~10, 18199085e~9, )(32606389e~9, ~34028794e~9, )
aform(2): (166816725e~8, 166286036e~8, ) -- (0e0, 25926738e~11, )(63311482e~12, 0e0, )(0e0, 55559627e~11, )(75883718e~11, 0e0, )(0e0, 30654589e~10, )(33217555e~10, 17573113e~9, )(32540471e~9, ~34379724e~9, )
aform(2): (173276724e~8, 159569459e~8, ) -- (0e0, 27502879e~11, )(66130365e~12, 0e0, )(0e0, 17008859e~10, )(82099847e~11, 0e0, )(0e0, 23457022e~10, )(32730815e~10, 16942664e~9, )(32479647e~9, ~34629449e~9, )
aform(2): (179727206e~8, 152838516e~8, ) -- (0e0, 28774703e~11, )(69032862e~12, 0e0, )(0e0, 53164531e~11, )(82662610e~11, 0e0, )(59851443e~12, 37022512e~10, )(32232393e~10, 16309566e~9, )(32423946e~9, ~34779834e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 4
aform(2): (162995453e~8, 166169138e~8, ) -- (0e0, 24593684e~11, )(60939313e~12, 0e0, )(0e0, 19425469e~10, )(81460600e~11, 0e0, )(0e0, 18166582e~10, )(36535226e~10, 17407679e~9, )(32074689e~9, ~36528960e~9, )
aform(2): (169358217e~8, 159023269e~8, ) -- (0e0, 26085497e~11, )(63466728e~12, 0e0, )(0e0, 11499818e~10, )(88277877e~11, 0e0, )(0e0, 30654589e~10, )(35963354e~10, 16743747e~9, )(32003288e~9, ~36751269e~9, )
aform(2): (175709875e~8, 151870623e~8, ) -- (0e0, 27274759e~11, )(66057502e~12, 0e0, )(0e0, 23471857e~10, )(95465441e~11, 0e0, )(0e0, 23457022e~10, )(35378106e~10, 16078596e~9, )(31938562e~9, ~36859841e~9, )
aform(2): (182052022e~8, 144732988e~8, ) -- (0e0, 28101785e~11, )(68627502e~12, 0e0, )(0e0, 10863081e~10, )(90846230e~11, 0e0, )(11769911e~11, 35671672e~10, )(34780762e~10, 15414181e~9, )(31880511e~9, ~36857813e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 4
aform(2): (165538083e~8, 159286641e~8, ) -- (0e0, 24858962e~11, )(61142794e~12, 0e0, )(0e0, 23980919e~10, )(93812650e~11, 0e0, )(0e0, 19425469e~10, )(39255176e~10, 16590730e~9, )(31503924e~9, ~38799314e~9, )
aform(2): (171785955e~8, 151725022e~8, ) -- (0e0, 25989290e~11, )(63453987e~12, 0e0, )(0e0, 17824505e~10, )(10161883e~10, 0e0, )(0e0, 30654589e~10, )(38579564e~10, 15896113e~9, )(31429050e~9, ~38871982e~9, )
aform(2): (178022859e~8, 144187505e~8, ) -- (0e0, 26790697e~11, )(65807931e~12, 0e0, )(0e0, 68462769e~11, )(10983000e~10, 0e0, )(0e0, 23471857e~10, )(0e0, 23457022e~10, )(37890387e~10, 15203883e~9, )(31362627e~9, ~38820070e~9, )
aform(2): (184250742e~8, 136697478e~8, ) -- (0e0, 27183900e~11, )(68023084e~12, 0e0, )(0e0, 16623699e~10, )(99845468e~11, 0e0, )(17343610e~11, 34266449e~10, )(37189228e~10, 14516060e~9, )(31304608e~9, ~38648191e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 4
aform(2): (167972739e~8, 152348072e~8, ) -- (0e0, 24886663e~11, )(61190086e~12, 0e0, )(0e0, 61863550e~11, )(10709766e~10, 0e0, )(0e0, 23980919e~10, )(0e0, 19425469e~10, )(41847478e~10, 15754796e~9, )(30897685e~9, ~40832457e~9, )
aform(2): (174099603e~8, 144419132e~8, ) -- (0e0, 25653280e~11, )(63277539e~12, 0e0, )(0e0, 24523474e~10, )(11594525e~10, 0e0, )(0e0, 30654589e~10, )(41063332e~10, 15037006e~9, )(30821675e~9, ~40737967e~9, )
aform(2): (180216140e~8, 136547930e~8, ) -- (0e0, 26074665e~11, )(65389554e~12, 0e0, )(0e0, 14069420e~10, )(12523178e~10, 0e0, )(0e0, 23471857e~10, )(0e0, 23457022e~10, )(40265993e~10, 14325423e~9, )(30756063e~9, ~40510086e~9, )
aform(2): (186324671e~8, 128759033e~8, ) -- (0e0, 26054304e~11, )(67231566e~12, 0e0, )(0e0, 22586804e~10, )(10967000e~10, 0e0, )(22697743e~11, 32820616e~10, )(39457363e~10, 13622062e~9, )(30700730e~9, ~40155066e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 6
aform(2): (168785768e~8, 147510982e~8, ) -- (0e0, 20767797e~9, )(57055451e~10, 0e0, )(15129839e~9, ~21311997e~9, )
aform(2): (171811736e~8, 143248582e~8, ) -- (0e0, 20767797e~9, )(57055451e~10, 0e0, )(15129839e~9, ~21311997e~9, )
aform(2): (174789991e~8, 139249503e~8, ) -- (0e0, 20453965e~9, )(57171848e~10, 0e0, )(15092572e~9, ~21174233e~9, )
aform(2): (177808505e~8, 135014656e~8, ) -- (0e0, 20453965e~9, )(57171848e~10, 0e0, )(15092572e~9, ~21174233e~9, )
aform(2): (182290600e~8, 128977790e~8, ) -- (0e0, 25153715e~11, )(64812336e~12, 0e0, )(0eML_statistics = :now=1464100484.22tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=986size_allocation=2532311040size_allocation_free=1270151464size_heap=6251655168size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2533548088threads_in_ML=1threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1836.744time_GC=110.588user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
0, 21664731e~10, )(14170915e~10, 0e0, )(0e0, 23471857e~10, )(0e0, 23457022e~10, )(42504341e~10, 13449727e~9, )(30123093e~9, ~41933023e~9, )
aform(2): (188275518e~8, 120942208e~8, ) -- (0e0, 24747867e~11, )(66266996e~12, 0e0, )(0e0, 52840624e~11, )(11680031e~10, 0e0, )(35291881e~12, 21714498e~10, )(27825964e~11, 31347445e~10, )(41585810e~10, 12738505e~9, )(30073307e~9, ~41385661e~9, )
=XS: 6 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 7
aform(2): (171036723e~8, 140610816e~8, ) -- (0e0, 16987689e~11, )(43062334e~12, 0e0, )(0e0, 56536718e~12, )(58673776e~17, 0e0, )(32449683e~11, 20167847e~9, )(57055451e~10, ~53307184e~11, )(14796839e~9, ~22109914e~9, )
aform(2): (173994979e~8, 136205542e~8, ) -- (0e0, 16994609e~11, )(43756595e~12, 0e0, )(0e0, 57076338e~12, )(12607870e~17, 0e0, )(32449683e~11, 20134403e~9, )(57055451e~10, ~52797311e~11, )(14796839e~9, ~22062073e~9, )
aform(2): (176909679e~8, 132069094e~8, ) -- (0e0, 16906493e~11, )(44350946e~12, 0e0, )(0e0, 57021265e~12, )(76467188e~17, 0e0, )(31959321e~11, 19797152e~9, )(57171848e~10, ~52418402e~11, )(14761724e~9, ~21878064e~9, )
aform(2): (179861065e~8, 127710788e~8, ) -- (0e0, 16769583e~11, )(45059319e~12, 0e0, )(0e0, 57552792e~12, )(81833206e~17, 0e0, )(31959321e~11, 19763137e~9, )(57171848e~10, ~51824055e~11, )(14761724e~9, ~21827161e~9, )
aform(2): (182774115e~8, 123655633e~8, ) -- (0e0, 20138583e~9, )(61176861e~10, 0e0, )(14733944e~9, ~21547455e~9, )
aform(2): (185720904e~8, 119346142e~8, ) -- (0e0, 20138583e~9, )(61176861e~10, 0e0, )(14733944e~9, ~21547455e~9, )
aform(2): (190105353e~8, 113268975e~8, ) -- (0e0, 23288181e~11, )(65084099e~12, 0e0, )(0e0, 10659883e~10, )(12463942e~10, 0e0, )(69220785e~12, 20820459e~10, )(32724003e~11, 29859527e~10, )(43576201e~10, 11871104e~9, )(29426656e~9, ~42349928e~9, )
=XS: 7 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 7
aform(2): (173179928e~8, 133718551e~8, ) -- (0e0, 16574178e~11, )(42961745e~12, 0e0, )(0e0, 29500407e~11, )(46600762e~12, 0e0, )(63961945e~11, 19531666e~9, )(56972159e~10, ~10349848e~10, )(14451371e~9, ~22788024e~9, )
aform(2): (176068424e~8, 129194088e~8, ) -- (0e0, 16455038e~11, )(43561439e~12, 0e0, )(0e0, 29644320e~11, )(47304620e~12, 0e0, )(63909689e~11, 19467472e~9, )(56972955e~10, ~10229474e~10, )(14452119e~9, ~22690228e~9, )
aform(2): (178917607e~8, 124943600e~8, ) -- (0e0, 16248390e~11, )(44056829e~12, 0e0, )(0e0, 29567995e~11, )(47884853e~12, 0e0, )(62892372e~11, 19110041e~9, )(57089944e~10, ~10135033e~10, )(14419880e~9, ~22458492e~9, )
aform(2): (181800122e~8, 120485947e~8, ) -- (0e0, 15989541e~11, )(44662042e~12, 0e0, )(0e0, 29560658e~11, )(48580212e~12, 0e0, )(62839223e~11, 19045036e~9, )(57090872e~10, ~99986385e~11, )(14420675e~9, ~22355192e~9, )
aform(2): (184649063e~8, 116334400e~8, ) -- (0e0, 15662931e~11, )(45151782e~12, 0e0, )(0e0, 58331349e~12, )(64822813e~18, 0e0, )(31466536e~11, 19402065e~9, )(61176861e~10, ~52767049e~11, )(14397265e~9, ~22030262e~9, )
aform(2): (187527904e~8, 111945849e~8, ) -- (0e0, 15269575e~11, )(45788126e~12, 0e0, )(0e0, 58839261e~12, )(34403768e~17, 0e0, )(31466536e~11, 19367896e~9, )(61176861e~10, ~51933561e~11, )(14397265e~9, ~21973629e~9, )
aform(2): (191816571e~8, 105758685e~8, ) -- (0e0, 21723328e~11, )(63751916e~12, 0e0, )(0e0, 16119013e~10, )(13317739e~10, 0e0, )(10175275e~11, 19912677e~10, )(37389554e~11, 28368616e~10, )(45431061e~10, 11024927e~9, )(28764939e~9, ~43060128e~9, )
=XS: 7 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 7
aform(2): (175215685e~8, 126857096e~8, ) -- (0e0, 16031946e~11, )(42740301e~12, 0e0, )(0e0, 54193106e~11, )(96762524e~12, 0e0, )(94480173e~11, 18865286e~9, )(56810442e~10, ~15039637e~10, )(14095309e~9, ~23347810e~9, )
aform(2): (178032741e~8, 122236587e~8, ) -- (0e0, 15795699e~11, )(43243679e~12, 0e0, )(0e0, 54323338e~11, )(98069378e~12, 0e0, )(94327615e~11, 18773278e~9, )(56813120e~10, ~14833908e~10, )(14097584e~9, ~23198836e~9, )
aform(2): (180814801e~8, 117894744e~8, ) -- (0e0, 15480510e~11, )(43639537e~12, 0e0, )(0e0, 54073445e~11, )(99101358e~12, 0e0, )(92751812e~11, 18399028e~9, )(56931584e~10, ~14666688e~10, )(14068966e~9, ~22918734e~9, )
aform(2): (183627076e~8, 113360984e~8, ) -- (0e0, 15111799e~11, )(44140979e~12, 0e0, )(0e0, 53899190e~11, )(10035989e~11, 0e0, )(92597093e~11, 18306246e~9, )(56934644e~10, ~14438491e~10, )(14071375e~9, ~22762445e~9, )
aform(2): (186410579e~8, 109135774e~8, ) -- (0e0, 14695166e~11, )(44549106e~12, 0e0, )(0e0, 28580017e~11, )(48510628e~12, 0e0, )(61782264e~11, 18645560e~9, )(61094413e~10, ~10140627e~10, )(14053043e~9, ~22392268e~9, )
aform(2): (189220417e~8, 104691279e~8, ) -- (0e0, 14200594e~11, )(45073123e~12, 0e0, )(0e0, 28295095e~11, )(49094154e~12, 0e0, )(61728875e~11, 18580733e~9, )(61095715e~10, ~99584140e~11, )(14053928e~9, ~22279022e~9, )
aform(2): (193411849e~8, 98428079e~8, ) -- (0e0, 20086583e~11, )(62288659e~12, 0e0, )(0e0, 20307357e~10, )(14241061e~10, 0e0, )(13286631e~11, 18998629e~10, )(41822150e~11, 26885514e~10, )(47153706e~10, 10204374e~9, )(28092124e~9, ~43530410e~9, )
=XS: 7 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 7
aform(2): (177144644e~8, 120047893e~8, ) -- (0e0, 15377346e~11, )(42402451e~12, 0e0, )(0e0, 79649890e~11, )(15047603e~11, 0e0, )(12395718e~10, 18174707e~9, )(56575448e~10, ~19386930e~10, )(13730499e~9, ~23791941e~9, )
aform(2): (179888934e~8, 115353727e~8, ) -- (0e0, 15034700e~11, )(42809040e~12, 0e0, )(0e0, 79664815e~11, )(15227002e~11, 0e0, )(12366086e~10, 18057986e~9, )(56581340e~10, ~19082419e~10, )(13735102e~9, ~23591412e~9, )
aform(2): (182602614e~8, 110942378e~8, ) -- (0e0, 14622444e~11, )(43106055e~12, 0e0, )(0e0, 79141340e~11, )(15360943e~11, 0e0, )(12150029e~10, 17670330e~9, )(56702417e~10, ~18828726e~10, )(13710861e~9, ~23263096e~9, )
aform(2): (185343633e~8, 106354698e~8, ) -- (0e0, 14157193e~11, )(43504450e~12, 0e0, )(0e0, 78698002e~11, )(15528392e~11, 0e0, )(12120060e~10, 17553099e~9, )(56709042e~10, ~18496618e~10, )(13715712e~9, ~23054066e~9, )
aform(2): (188060715e~8, 102077439e~8, ) -- (0e0, 13662576e~11, )(43830100e~12, 0e0, )(0e0, 51623520e~11, )(99821608e~12, 0e0, )(90915951e~11, 17875601e~9, )(60935965e~10, ~14587177e~10, )(13703163e~9, ~22639360e~9, )
aform(2): (190800847e~8, 97598775e~8, ) -- (0e0, 13082363e~11, )(44243553e~12, 0e0, )(0e0, 50899776e~11, )(10080728e~11, 0e0, )(90761271e~11, 17783712e~9, )(60940115e~10, ~14293673e~10, )(13705818e~9, ~22470354e~9, )
aform(2): (194894104e~8, 91291336e~8, ) -- (0e0, 18404094e~11, )(60662815e~12, 0e0, )(0e0, 22769958e~10, )(16520851e~10, 0e0, )(31730246e~12, 19437690e~10, )(46023012e~11, 25419984e~10, )(48748140e~10, 94131697e~10, )(27411962e~9, ~43776381e~9, )
=XS: 7 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 7
aform(2): (178967776e~8, 113310788e~8, ) -- (0e0, 14627650e~11, )(41953957e~12, 0e0, )(0e0, 10579846e~10, )(20772696e~11, 0e0, )(15235516e~10, 17465807e~9, )(56272527e~10, ~23383034e~10, )(13358750e~9, ~24124143e~9, )
aform(2): (181638316e~8, 108564422e~8, ) -- (0e0, 14190611e~11, )(42264500e~12, 0e0, )(0e0, 10559981e~10, )(20987617e~11, 0e0, )(15187646e~10, 17327572e~9, )(56283177e~10, ~22968908e~10, )(13366487e~9, ~23872469e~9, )
aform(2): (184282694e~8, 104104415e~8, ) -- (0e0, 13693778e~11, )(42464528e~12, 0e0, )(0e0, 10470699e~10, )(21136633e~11, 0e0, )(14911018e~10, 16929909e~9, )(56408218e~10, ~22617615e~10, )(13347375e~9, ~23496816e~9, )
aform(2): (186951778e~8, 99483800e~8, ) -- (0e0, 13146049e~11, )(42761829e~12, 0e0, )(0e0, 10389778e~10, )(21329764e~11, 0e0, )(14862732e~10, 16791599e~9, )(56420033e~10, ~22172199e~10, )(13355492e~9, ~23236052e~9, )
aform(2): (189601786e~8, 95174854e~8, ) -- (0e0, 12586035e~11, )(43005152e~12, 0e0, )(0e0, 74905346e~11, )(15385285e~11, 0e0, )(11884657e~10, 17098344e~9, )(60708041e~10, ~18616669e~10, )(13349423e~9, ~22778196e~9, )
aform(2): (192271835e~8, 90682342e~8, ) -- (0e0, 11935917e~11, )(43311053e~12, 0e0, )(0e0, 73646751e~11, )(15504866e~11, 0e0, )(11854832e~10, 16982997e~9, )(60716776e~10, ~18202458e~10, )(13354719e~9, ~22555021e~9, )
aform(2): (196266457e~8, 84360161e~8, ) -- (0e0, 17078930e~11, )(58923380e~12, 0e0, )(0e0, 45849462e~11, )(17156236e~10, 0e0, )(35578059e~12, 21774352e~10, )(62101637e~12, 18565186e~10, )(49994884e~11, 23980705e~10, )(50218948e~10, 86543723e~10, )(26727956e~9, ~43814708e~9, )
=XS: 7 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 7
aform(2): (180686349e~8, 106663938e~8, ) -- (0e0, 13800499e~11, )(41401727e~12, 0e0, )(0e0, 13257706e~10, )(26849813e~11, 0e0, )(17964548e~10, 16744260e~9, )(55907167e~10, ~27023516e~10, )(12981810e~9, ~24349064e~9, )
aform(2): (183282484e~8, 101885748e~8, ) -- (0e0, 13281913e~11, )(41618092e~12, 0e0, )(0e0, 13207155e~10, )(27085816e~11, 0e0, )(17895079e~10, 16587744e~9, )(55924288e~10, ~26491513e~10, )(12993479e~9, ~24047372e~9, )
aform(2): (185856952e~8, 97396793e~8, ) -- (0e0, 12713566e~11, )(41724043e~12, 0e0, )(0e0, 13071884e~10, )(27233124e~11, 0e0, )(17556316e~10, 16183400e~9, )(56054818e~10, ~26034028e~10, )(12980237e~9, ~23625905e~9, )
aform(2): (188453741e~8, 92762909e~8, ) -- (0e0, 12097701e~11, )(41923306e~12, 0e0, )(0e0, 12945356e~10, )(27434767e~11, 0e0, )(17486419e~10, 16027357e~9, )(56073592e~10, ~25468540e~10, )(12992429e~9, ~23315086e~9, )
aform(2): (191036327e~8, 88441287e~8, ) -- (0e0, 11485007e~11, )(42085367e~12, 0e0, )(0e0, 98382081e~11, )(21052944e~11, 0e0, )(14556274e~10, 16319501e~9, )(60417155e~10, ~22233844e~10, )(12993514e~9, ~22816033e~9, )
aform(2): (193636225e~8, 83953712e~8, ) -- (0e0, 10780436e~11, )(42287819e~12, 0e0, )(0e0, 96500289e~11, )(21173245e~11, 0e0, )(14508425e~10, 16184248e~9, )(60432363e~10, ~21692379e~10, )(13002296e~9, ~22540911e~9, )
aform(2): (197532191e~8, 77643894e~8, ) -- (0e0, 17246885e~11, )(57096625e~12, 0e0, )(0e0, 26874896e~10, )(18754897e~10, 0e0, )(69600484e~12, 20780047e~10, )(53741870e~11, 22575251e~10, )(51571193e~10, 79304006e~10, )(26043351e~9, ~43662731e~9, )
=XS: 7 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 7
aform(2): (182301902e~8, 100123751e~8, ) -- (0e0, 12913399e~11, )(40753622e~12, 0e0, )(0e0, 15055266e~10, )(33277149e~11, 0e0, )(20580839e~10, 16015469e~9, )(55484925e~10, ~30307924e~10, )(12601356e~9, ~24472128e~9, )
aform(2): (184823283e~8, 95332911e~8, ) -- (0e0, 12326529e~11, )(40878691e~12, 0e0, )(0e0, 14929856e~10, )(33518839e~11, 0e0, )(20486914e~10, 15843877e~9, )(55510358e~10, ~29652277e~10, )(12617739e~9, ~24122176e~9, )
aform(2): (187327534e~8, 90833476e~8, ) -- (0e0, 11699883e~11, )(40894407e~12, 0e0, )(0e0, 14711312e~10, )(33646738e~11, 0e0, )(20084973e~10, 15436052e~9, )(55648036e~10, ~29082457e~10, )(12611082e~9, ~23656982e~9, )
aform(2): (189851962e~8, 86204584e~8, ) -- (0e0, 11030087e~11, )(40999641e~12, 0e0, )(0e0, 14501259e~10, )(33838856e~11, 0e0, )(19990694e~10, 15265546e~9, )(55675646e~10, ~28392624e~10, )(12628131e~9, ~23298366e~9, )
aform(2): (192367066e~8, 81887871e~8, ) -- (0e0, 10377209e~11, )(41082310e~12, 0e0, )(0e0, 11387913e~10, )(26978238e~11, 0e0, )(17106196e~10, 15544303e~9, )(60069751e~10, ~25447351e~10, )(12637014e~9, ~22760551e~9, )
aform(2): (194897024e~8, 77422436e~8, ) -- (0e0, 10492272e~11, )(41186324e~12, 0e0, )(0e0, 11114810e~10, )(27078365e~11, 0e0, )(17037214e~10, 15392583e~9, )(60093419e~10, ~24774765e~10, )(12650095e~9, ~22436230e~9, )
aform(2): (198694721e~8, 71149652e~8, ) -- (0e0, 17318245e~11, )(55212415e~12, 0e0, )(0e0, 32121546e~11, )(59791652e~12, 0e0, )(41992026e~12, 25656331e~10, )(18754897e~10, ~11919423e~11, )(10206930e~11, 19793601e~10, )(57269253e~11, 21210092e~10, )(52810318e~10, 72430655e~10, )(25361121e~9, ~43338119e~9, )
=XS: 7 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 7
aform(2): (183816215e~8, 93704858e~8, ) -- (0e0, 11978672e~11, )(39989093e~12, 0e0, )(0e0, 22083245e~11, )(37554345e~11, 0e0, )(23523853e~12, 14508713e~10, )(23083256e~10, 15284507e~9, )(55011364e~10, ~33239456e~10, )(12218979e~9, ~24499389e~9, )
aform(2): (186262785e~8, 88919247e~8, ) -- (0e0, 11337447e~11, )(40024415e~12, 0e0, )(0e0, 21410004e~11, )(37799367e~11, 0e0, )(23327900e~12, 14366262e~10, )(22962520e~10, 15100964e~9, )(55047041e~10, ~32456763e~10, )(12240830e~9, ~24103484e~9, )
aform(2): (188696789e~8, 84426479e~8, ) -- (0e0, 10666259e~11, )(39952431e~12, 0e0, )(0e0, 20630423e~11, )(37919035e~11, 0e0, )(22986426e~12, 14134546e~10, )(22496856e~10, 14692689e~9, )(55193623e~10, ~31770778e~10, )(12241442e~9, ~23597123e~9, )
aform(2): (191149065e~8, 79819377e~8, ) -- (0e0, 99570925e~12, )(39966236e~12, 0e0, )(0e0, 19854982e~11, )(38111222e~11, 0e0, )(22658218e~12, 13911154e~10, )(22375935e~10, 14510863e~9, )(55232011e~10, ~30954644e~10, )(12264094e~9, ~23193445e~9, )
aform(2): (193596889e~8, 75523691e~8, ) -- (0e0, 99782857e~12, )(39978612e~12, 0e0, )(0e0, 12770870e~10, )(33028025e~11, 0e0, )(19534993e~10, 14777468e~9, )(59672136e~10, ~28269212e~10, )(12281380e~9, ~22619690e~9, )
aform(2): (196057374e~8, 71095996e~8, ) -- (0e0, 10693995e~11, )(39991580e~12, 0e0, )(0e0, 12497113e~10, )(33097697e~11, 0e0, )(19442305e~10, 14612564e~9, )(59706313e~10, ~27464084e~10, )(12299529e~9, ~22249341e~9, )
aform(2): (199757553e~8, 64882480e~8, ) -- (0e0, 17296454e~11, )(53260566e~12, 0e0, )(0e0, 65723279e~11, )(12272996e~11, 0e0, )(82080044e~12, 24449440e~10, )(18736273e~10, ~22586442e~11, )(13299681e~11, 18820830e~10, )(60583330e~11, 19890626e~10, )(53942047e~10, 65936132e~10, )(24683963e~9, ~42858564e~9, )
=XS: 7 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 7
aform(2): (185231284e~8, 87420113e~8, ) -- (0e0, 11017243e~11, )(39138375e~12, 0e0, )(0e0, 44135549e~11, )(42085488e~11, 0e0, )(46193718e~12, 13953096e~10, )(25471460e~10, 14556075e~9, )(54491997e~10, ~35824587e~10, )(11836176e~9, ~24437388e~9, )
aform(2): (187603253e~8, 82656248e~8, ) -- (0e0, 10334848e~11, )(39088210e~12, 0e0, )(0e0, 42711105e~11, )(42313566e~11, 0e0, )(45775184e~12, 13796233e~10, )(25322046e~10, 14363580e~9, )(54539904e~10, ~34913646e~10, )(11864213e~9, ~23998288e~9, )
aform(2): (189967237e~8, 78185923e~8, ) -- (0e0, 96318393e~12, )(38933587e~12, 0e0, )(0e0, 41079841e~11, )(42403294e~11, 0e0, )(45071655e~12, 13553986e~10, )(24792589e~10, 13957682e~9, )(54697204e~10, ~34109807e~10, )(11872737e~9, ~23453704e~9, )
aform(2): (192347821e~8, 73615916e~8, ) -- (0e0, 94708066e~12, )(38861234e~12, 0e0, )(0e0, 39459224e~11, )(42573667e~11, 0e0, )(44394397e~12, 13319976e~10, )(24643258e~10, 13767512e~9, )(54748345e~10, ~33167520e~10, )(11901696e~9, ~23008087e~9, )
aform(2): (194728808e~8, 69355889e~8, ) -- (0e0, 10168279e~11, )(38809588e~12, 0e0, )(0e0, 14060691e~10, )(39177315e~11, 0e0, )(21843973e~10, 14023185e~9, )(59230430e~10, ~30714276e~10, )(11927947e~9, ~22401512e~9, )
aform(2): (197120519e~8, 64979936e~8, ) -- (0e0, 10827464e~11, )(38740432e~12, 0e0, )(0e0, 13844722e~10, )(39216672e~11, 0e0, )(21725518e~10, 13848185e~9, )(59277187e~10, ~29777374e~10, )(11951883e~9, ~21988624e~9, )
aform(2): (20072426e~7, 58845521e~8, ) -- (0e0, 17189911e~11, )(51277500e~12, 0e0, )(0e0, 10077109e~10, )(18896361e~11, 0e0, )(12028229e~11, 23261006e~10, )(18700982e~10, ~32047305e~11, )(16240435e~11, 17866806e~10, )(63691240e~11, 18621227e~10, )(54972299e~10, 59827735e~10, )(24014297e~9, ~42241506e~9, )
=XS: 7 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 7
aform(2): (186549291e~8, 81280611e~8, ) -- (0e0, 10044661e~11, )(38214835e~12, 0e0, )(0e0, 20005464e~10, )(53660667e~11, 0e0, )(27745847e~10, 13834465e~9, )(53932238e~10, ~38072670e~10, )(11454342e~9, ~24293011e~9, )
aform(2): (188847116e~8, 76553612e~8, ) -- (0e0, 93335727e~12, )(38084340e~12, 0e0, )(0e0, 19612105e~10, )(53784463e~11, 0e0, )(27566356e~10, 13635855e~9, )(53994379e~10, ~37034280e~10, )(11489240e~9, ~23813839e~9, )
aform(2): (191141543e~8, 72120106e~8, ) -- (0e0, 90199971e~12, )(37852897e~12, 0e0, )(0e0, 19107043e~10, )(53714034e~11, 0e0, )(26973477e~10, 13234929e~9, )(54164239e~10, ~36112838e~10, )(11506273e~9, ~23234272e~9, )
aform(2): (193451123e~8, 67601003e~8, ) -- (0e0, 96485499e~12, )(37702455e~12, 0e0, )(0e0, 18672128e~10, )(53745065e~11, 0e0, )(26794432e~10, 13039195e~9, )(54230102e~10, ~35046419e~10, )(11542195e~9, ~22750125e~9, )
aform(2): (195765933e~8, 63389785e~8, ) -- (0e0, 10294171e~11, )(37589000e~12, 0e0, )(0e0, 18689355e~11, )(43217226e~11, 0e0, )(21969830e~12, 13447309e~10, )(24035095e~10, 13285115e~9, )(58750519e~10, ~32799693e~10, )(11577924e~9, ~22114063e~9, )
aform(2): (198089775e~8, 59078005e~8, ) -- (0e0, 10896222e~11, )(37444574e~12, 0e0, )(0e0, 19252019e~11, )(43259901e~11, 0e0, )(21632379e~12, 13220487e~10, )(23889297e~10, 13102885e~9, )(58811916e~10, ~31733702e~10, )(11608310e~9, ~21662350e~9, )
aform(2): (20159844e~7, 53040184e~8, ) -- (0e0, 17007353e~11, )(49279524e~12, 0e0, )(0e0, 30660005e~10, )(44899461e~11, 0e0, )(15662761e~11, 22096905e~10, )(18650908e~10, ~40355422e~11, )(66600807e~11, 17405300e~10, )(55907108e~10, 54108119e~10, )(23354274e~9, ~41503910e~9, )
=XS: 7 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 7
aform(2): (187772578e~8, 75295742e~8, ) -- (0e0, 90743687e~12, )(37228412e~12, 0e0, )(0e0, 19786783e~11, )(57639161e~11, 0e0, )(31258537e~12, 19230232e~10, )(29907482e~10, 13123542e~9, )(53337352e~10, ~39995526e~10, )(11074764e~9, ~24073358e~9, )
aform(2): (189996944e~8, 70619310e~8, ) -- (0e0, 86213407e~12, )(37023236e~12, 0e0, )(0e0, 18882577e~11, )(57738827e~11, 0e0, )(30643914e~12, 18825683e~10, )(29696958e~10, 12921463e~9, )(53415718e~10, ~38832265e~10, )(11117149e~9, ~23557512e~9, )
aform(2): (192222490e~8, 66235599e~8, ) -- (0e0, 91912474e~12, )(36722597e~12, 0e0, )(0e0, 18332025e~11, )(57640344e~11, 0e0, )(29854755e~12, 18314844e~10, )(29041434e~10, 12527851e~9, )(53599975e~10, ~37795196e~10, )(11143237e~9, ~22946414e~9, )
aform(2): (194461957e~8, 61779723e~8, ) -- (0e0, 97665393e~12, )(36503583e~12, 0e0, )(0e0, 18812520e~11, )(57666154e~11, 0e0, )(29175200e~12, 17872046e~10, )(28831806e~10, 12329111e~9, )(53682502e~10, ~36608292e~10, )(11186724e~9, ~22427350e~9, )
aform(2): (196711443e~8, 57629008e~8, ) -- (0e0, 10359345e~11, )(36327857e~12, 0e0, )(0e0, 38276580e~11, )(47429021e~11, 0e0, )(42981251e~12, 12840222e~10, )(26110895e~10, 12566397e~9, )(58238024e~10, ~34544401e~10, )(11232392e~9, ~21765263e~9, )
aform(2): (198968504e~8, 53392311e~8, ) -- (0e0, 10904468e~11, )(36114979e~12, 0e0, )(0e0, 39376460e~11, )(47475511e~11, 0e0, )(42289391e~12, 12605194e~10, )(25936623e~10, 12379564e~9, )(58316077e~10, ~33353642e~10, )(11269836e~9, ~21278575e~9, )
aform(2): (20238373e~7, 47466322e~8, ) -- (0e0, 16757797e~11, )(47281586e~12, 0e0, )(0e0, 19469531e~10, )(11941365e~10, 0e0, )(47906258e~12, 29192064e~10, )(19115403e~11, 20962139e~10, )(18587852e~10, ~47569700e~11, )(56752547e~10, 48775841e~10, )(22705775e~9, ~40662080e~9, )
=XS: 7 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 7
aform(2): (188903623e~8, 69473251e~8, ) -- (0e0, 82293774e~12, )(36174811e~12, 0e0, )(0e0, 39275618e~11, )(61813021e~11, 0e0, )(61305776e~12, 18452588e~10, )(31958036e~10, 12426732e~9, )(52712422e~10, ~41607030e~10, )(10698617e~9, ~23785624e~9, )
aform(2): (191055414e~8, 64859676e~8, ) -- (0e0, 87874078e~12, )(35901331e~12, 0e0, )(0e0, 37700844e~11, )(61870977e~11, 0e0, )(60059045e~12, 18040345e~10, )(31715937e~10, 12223613e~9, )(52808964e~10, ~40323024e~10, )(10749062e~9, ~23236692e~9, )
aform(2): (193212947e~8, 60537346e~8, ) -- (0e0, 93046713e~12, )(35540778e~12, 0e0, )(0e0, 37503293e~11, )(61742713e~11, 0e0, )(58471700e~12, 17527089e~10, )(30998911e~10, 11839395e~9, )(53009426e~10, ~39173798e~10, )(10784700e~9, ~22597647e~9, )
aform(2): (195383374e~8, 56155572e~8, ) -- (0e0, 98265328e~12, )(35259542e~12, 0e0, )(0e0, 38436967e~11, )(61763108e~11, 0e0, )(57100273e~12, 17079786e~10, )(30758230e~10, 11639974e~9, )(53110498e~10, ~37871434e~10, )(10836297e~9, ~22047397e~9, )
aform(2): (197568562e~8, 52075639e~8, ) -- (0e0, 10368555e~11, )(35041776e~12, 0e0, )(0e0, 58733795e~11, )(51821800e~11, 0e0, )(63044098e~12, 12242569e~10, )(28074394e~10, 11869664e~9, )(57698268e~10, ~35968652e~10, )(10892309e~9, ~21362807e~9, )
aform(2): (199760088e~8, 47923468e~8, ) -- (0e0, 10857899e~11, )(34767917e~12, 0e0, )(0e0, 60346066e~11, )(51872705e~11, 0e0, )(61985008e~12, 12001784e~10, )(27870930e~10, 11680601e~9, )(57794926e~10, ~34658809e~10, )(10937358e~9, ~20845053e~9, )
aform(2): (20308373e~7, 42122407e~8, ) -- (0e0, 16440465e~11, )(45250861e~12, 0e0, )(0e0, 40909735e~11, )(12514708e~10, 0e0, )(30421142e~12, 18527717e~10, )(93518859e~12, 27758069e~10, )(22390737e~11, 19860870e~10, )(18587852e~10, ~47569700e~11, )(57514670e~10, 43825900e~10, )(22070430e~9, ~39731510e~9, )
=XS: 7 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 7
aform(2): (189945010e~8, 63819316e~8, ) -- (0e0, 83914699e~12, )(35076860e~12, 0e0, )(0e0, 58583361e~11, )(66172812e~11, 0e0, )(90137944e~12, 17677324e~10, )(33899713e~10, 11747021e~9, )(52062312e~10, ~42922709e~10, )(10326967e~9, ~23436990e~9, )
aform(2): (192025293e~8, 59279499e~8, ) -- (0e0, 88991119e~12, )(34744993e~12, 0e0, )(0e0, 57364800e~11, )(66187549e~11, 0e0, )(88247085e~12, 17260659e~10, )(33625876e~10, 11545064e~9, )(52178917e~10, ~41523395e~10, )(10385989e~9, ~22858674e~9, )
aform(2): (194115853e~8, 55028780e~8, ) -- (0e0, 93644574e~12, )(34331444e~12, 0e0, )(0e0, 57488046e~11, )(66028223e~11, 0e0, )(85857777e~12, 16748085e~10, )(32848817e~10, 11172050e~9, )(52397335e~10, ~40266745e~10, )(10431611e~9, ~22195325e~9, )
aform(2): (196218470e~8, 50730583e~8, ) -- (0e0, 98338381e~12, )(33995036e~12, 0e0, )(0e0, 58847689e~11, )(66043187e~11, 0e0, )(83787439e~12, 16299384e~10, )(32576976e~10, 10974028e~9, )(52518756e~10, ~38855079e~10, )(10491806e~9, ~21617669e~9, )
aform(2): (198340535e~8, 46730352e~8, ) -- (0e0, 10326643e~11, )(33741052e~12, 0e0, )(0e0, 19660858e~10, )(64623097e~11, 0e0, )(29929029e~10, 11197072e~9, )(57136258e~10, ~37093576e~10, )(10558515e~9, ~20914090e~9, )
aform(2): (20046791e~7, 42670762e~8, ) -- (0e0, 10761994e~11, )(33413593e~12, 0e0, )(0e0, 19626701e~10, )(64535931e~11, 0e0, )(29696024e~10, 11007896e~9, )(57253382e~10, ~35671423e~10, )(10611654e~9, ~20369165e~9, )
aform(2): (20370200e~7, 37005698e~8, ) -- (0e0, 16079117e~11, )(43261184e~12, 0e0, )(0e0, 82212362e~11, )(13131166e~10, 0e0, )(59370701e~12, 17610360e~10, )(13689084e~11, 26363386e~10, )(25493998e~11, 18796477e~10, )(18587852e~10, ~47569700e~11, )(58199449e~10, 39250270e~10, )(21449626e~9, ~38726776e~9, )
ML_statistics = :now=1464100484.73tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=986size_allocation=2532311040size_allocation_free=901499144size_heap=6251655168size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2533548088threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1837.504time_GC=110.588user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
=XS: 7 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 7
aform(2): (190899409e~8, 58338646e~8, ) -- (0e0, 85019534e~12, )(33947615e~12, 0e0, )(0e0, 78748914e~11, )(70727040e~11, 0e0, )(11775876e~11, 16908768e~10, )(35735185e~10, 11086960e~9, )(51391645e~10, ~43959353e~10, )(99607646e~10, ~23034528e~9, )
aform(2): (192909411e~8, 53882136e~8, ) -- (0e0, 89598740e~12, )(33564033e~12, 0e0, )(0e0, 77852122e~11, )(70697512e~11, 0e0, )(11521686e~11, 16490701e~10, )(35429793e~10, 10888129e~9, )(51530114e~10, ~42451244e~10, )(10028822e~9, ~22430570e~9, )
aform(2): (194934186e~8, 49711946e~8, ) -- (0e0, 93746454e~12, )(33104333e~12, 0e0, )(0e0, 78264703e~11, )(70505979e~11, 0e0, )(11202666e~11, 15981629e~10, )(34594450e~10, 10527863e~9, )(51768167e~10, ~41092938e~10, )(10084809e~9, ~21746556e~9, )
aform(2): (196970364e~8, 45505461e~8, ) -- (0e0, 97930995e~12, )(32719707e~12, 0e0, )(0e0, 80024363e~11, )(70515883e~11, 0e0, )(10925522e~11, 15534353e~10, )(34291667e~10, 10333073e~9, )(51911646e~10, ~39579024e~10, )(10154030e~9, ~21145254e~9, )
aform(2): (199030610e~8, 41592560e~8, ) -- (0e0, 10238724e~11, )(32435196e~12, 0e0, )(0e0, 18830024e~11, )(68158603e~11, 0e0, )(30720091e~12, 18759562e~10, )(31678572e~10, 10550323e~9, )(56556671e~10, ~37940783e~10, )(10231733e~9, ~20426138e~9, )
aform(2): (20109533e~7, 37632294e~8, ) -- (0e0, 10622390e~11, )(32061316e~12, 0e0, )(0e0, 19068326e~11, )(68045469e~11, 0e0, )(30666720e~12, 18700953e~10, )(31416008e~10, 10362895e~9, )(56696016e~10, ~36413941e~10, )(10293386e~9, ~19857871e~9, )
aform(2): (20370200e~7, 37005698e~8, ) -- (0e0, 16079117e~11, )(43261184e~12, 0e0, )(0e0, 82212362e~11, )(13131166e~10, 0e0, )(59370701e~12, 17610360e~10, )(13689084e~11, 26363386e~10, )(25493998e~11, 18796477e~10, )(18587852e~10, ~47569700e~11, )(58199449e~10, 39250270e~10, )(21449626e~9, ~38726776e~9, )
=XS: 7 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 7
aform(2): (191769553e~8, 53034574e~8, ) -- (0e0, 85640982e~12, )(32796394e~12, 0e0, )(0e0, 99752701e~11, )(75485128e~11, 0e0, )(14417871e~11, 16150773e~10, )(37467522e~10, 10448681e~9, )(50704780e~10, ~44734659e~10, )(96008501e~10, ~22585118e~9, )
aform(2): (193710641e~8, 48669620e~8, ) -- (0e0, 89735542e~12, )(32367693e~12, 0e0, )(0e0, 99143931e~11, )(75410396e~11, 0e0, )(14098358e~11, 15734056e~10, )(37131063e~10, 10254701e~9, )(50866813e~10, ~43125115e~10, )(96783452e~10, ~21959239e~9, )
aform(2): (195670948e~8, 44587624e~8, ) -- (0e0, 93396115e~12, )(31868513e~12, 0e0, )(0e0, 99815802e~11, )(75185849e~11, 0e0, )(13699795e~11, 15231020e~10, )(36239428e~10, 99084642e~10, )(51126090e~10, ~41671737e~10, )(97450198e~10, ~21258141e~9, )
aform(2): (197642172e~8, 40479717e~8, ) -- (0e0, 97091910e~12, )(31442430e~12, 0e0, )(0e0, 10195112e~10, )(75191323e~11, 0e0, )(13352765e~11, 14787699e~10, )(35906210e~10, 97184960e~10, )(51293224e~10, ~40063302e~10, )(98236360e~10, ~20636878e~9, )
aform(2): (199642015e~8, 36660555e~8, ) -- (0e0, 10105049e~11, )(31107349e~12, 0e0, )(0e0, 38202807e~11, )(71856344e~11, 0e0, )(60031908e~12, 17878799e~10, )(33327060e~10, 99307057e~10, )(55963846e~10, ~38532023e~10, )(99125748e~10, ~19905568e~9, )
aform(2): (20164568e~7, 32805139e~8, ) -- (0e0, 10438706e~11, )(30691445e~12, 0e0, )(0e0, 38648855e~11, )(71715658e~11, 0e0, )(59886960e~12, 17799464e~10, )(33035210e~10, 97466381e~10, )(56127048e~10, ~36908720e~10, )(99831075e~10, ~19317664e~9, )
aform(2): (20398145e~7, 34531553e~8, ) -- (0e0, 34830872e~12, )(88651380e~13, 0e0, )(0e0, 11111400e~10, )(13677746e~10, 0e0, )(73128796e~12, 17165425e~10, )(15748723e~11, 25687894e~10, )(26962473e~11, 18284043e~10, )(18587852e~10, ~47569700e~11, )(58506092e~10, 37144338e~10, )(21147073e~9, ~38194116e~9, )
=XS: 7 PS: 1 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 7
aform(2): (192558218e~8, 47909168e~8, ) -- (0e0, 85815773e~12, )(31631964e~12, 0e0, )(0e0, 12157850e~10, )(80457299e~11, 0e0, )(16941429e~11, 15406725e~10, )(39100129e~10, 98339178e~10, )(50005801e~10, ~45266893e~10, )(92479576e~10, ~22095381e~9, )
aform(2): (194431876e~8, 43642780e~8, ) -- (0e0, 89443174e~12, )(31164564e~12, 0e0, )(0e0, 12122522e~10, )(80336567e~11, 0e0, )(16556805e~11, 14993833e~10, )(38733360e~10, 96462752e~10, )(50192983e~10, ~43563908e~10, )(93352321e~10, ~21451228e~9, )
aform(2): (196329144e~8, 39655455e~8, ) -- (0e0, 92639372e~12, )(30632321e~12, 0e0, )(0e0, 11330462e~10, )(80078306e~11, 0e0, )(16079642e~11, 14499073e~10, )(37787626e~10, 93150962e~10, )(50474969e~10, ~42022654e~10, )(94128614e~10, ~20736515e~9, )
aform(2): (198236999e~8, 35651803e~8, ) -- (0e0, 95870868e~12, )(30171267e~12, 0e0, )(0e0, 11535754e~10, )(80080272e~11, 0e0, )(15663343e~11, 14061941e~10, )(37424725e~10, 91313041e~10, )(50667234e~10, ~40327893e~10, )(95011848e~10, ~20098857e~9, )
aform(2): (20017794e~7, 31931650e~8, ) -- (0e0, 99346111e~12, )(29789240e~12, 0e0, )(0e0, 58099192e~11, )(75722049e~11, 0e0, )(87967532e~12, 17021617e~10, )(34878733e~10, 93391252e~10, )(55361783e~10, ~38888879e~10, )(96015503e~10, ~19358547e~9, )
aform(2): (20424179e~7, 32112732e~8, ) -- (0e0, 34358937e~12, )(86590970e~13, 0e0, )(0e0, 12749511e~10, )(13893108e~10, 0e0, )(86539284e~12, 16727779e~10, )(17755590e~11, 25023919e~10, )(28390914e~11, 17781796e~10, )(18587852e~10, ~47569700e~11, )(58796282e~10, 35126099e~10, )(20848681e~9, ~37648902e~9, )
aform(2): (20164568e~7, 32805139e~8, ) -- (0e0, 10438706e~11, )(30691445e~12, 0e0, )(0e0, 38648855e~11, )(71715658e~11, 0e0, )(59886960e~12, 17799464e~10, )(33035210e~10, 97466381e~10, )(56127048e~10, ~36908720e~10, )(99831075e~10, ~19317664e~9, )
=XS: 7 PS: 3 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 7
aform(2): (193268202e~8, 42963340e~8, ) -- (0e0, 85583427e~12, )(30462465e~12, 0e0, )(0e0, 13392573e~10, )(85654257e~11, 0e0, )(19348730e~11, 14679548e~10, )(40636679e~10, 92440246e~10, )(49298506e~10, ~45574594e~10, )(89027173e~10, ~21571626e~9, )
aform(2): (195076016e~8, 38801361e~8, ) -- (0e0, 88765125e~12, )(29962537e~12, 0e0, )(0e0, 13355211e~10, )(85487011e~11, 0e0, )(18899591e~11, 14272676e~10, )(40240590e~10, 90639771e~10, )(49512297e~10, ~43786595e~10, )(90000566e~10, ~20912723e~9, )
aform(2): (196911765e~8, 34914066e~8, ) -- (0e0, 91461909e~12, )(29370496e~12, 0e0, )(0e0, 12585786e~10, )(85056699e~11, 0e0, )(18345122e~11, 13788143e~10, )(39243110e~10, 87486468e~10, )(49818365e~10, ~42165084e~10, )(90888534e~10, ~20187718e~9, )
aform(2): (20448344e~7, 29748621e~8, ) -- (0e0, 33869225e~12, )(84552642e~13, 0e0, )(0e0, 14391263e~10, )(14119170e~10, 0e0, )(99607862e~12, 16297683e~10, )(19710584e~11, 24371830e~10, )(29780116e~11, 17289939e~10, )(18587852e~10, ~47569700e~11, )(59070705e~10, 33193882e~10, )(20554549e~9, ~37092610e~9, )
aform(2): (20189285e~7, 30469786e~8, ) -- (0e0, 21949871e~12, )(60442666e~13, 0e0, )(0e0, 53905610e~11, )(75168422e~11, 0e0, )(73792792e~12, 17362229e~10, )(33796666e~10, 94532143e~10, )(55838699e~10, ~37043232e~10, )(98321882e~10, ~19036109e~9, )
aform(2): (198236999e~8, 35651803e~8, ) -- (0e0, 95870868e~12, )(30171267e~12, 0e0, )(0e0, 11535754e~10, )(80080272e~11, 0e0, )(15663343e~11, 14061941e~10, )(37424725e~10, 91313041e~10, )(50667234e~10, ~40327893e~10, )(95011848e~10, ~20098857e~9, )
aform(2): (20017794e~7, 31931650e~8, ) -- (0e0, 99346111e~12, )(29789240e~12, 0e0, )(0e0, 58099192e~11, )(75722049e~11, 0e0, )(87967532e~12, 17021617e~10, )(34878733e~10, 93391252e~10, )(55361783e~10, ~38888879e~10, )(96015503e~10, ~19358547e~9, )
=XS: 7 PS: 6 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 7
aform(2): (193902310e~8, 38196956e~8, ) -- (0e0, 84925599e~12, )(29258648e~12, 0e0, )(0e0, 17260716e~11, )(88834244e~11, 0e0, )(20925896e~12, 12820196e~10, )(21642410e~11, 13971728e~10, )(42081057e~10, 86800095e~10, )(48586403e~10, ~45676307e~10, )(85656606e~10, ~21019804e~9, )
aform(2): (195645947e~8, 34144132e~8, ) -- (0e0, 87675821e~12, )(28730265e~12, 0e0, )(0e0, 17302944e~11, )(88621961e~11, 0e0, )(20867517e~12, 12769780e~10, )(21129697e~11, 13572792e~10, )(41656837e~10, 85085939e~10, )(48828131e~10, ~43811976e~10, )(86732953e~10, ~20349517e~9, )
aform(2): (198506392e~8, 33311384e~8, ) -- (0e0, 20271221e~12, )(59651942e~13, 0e0, )(0e0, 13634588e~11, )(83172389e~11, 0e0, )(90123081e~13, 11271712e~10, )(16761932e~11, 13710543e~10, )(38138108e~10, 88517316e~10, )(50352173e~10, ~40360184e~10, )(93441625e~10, ~19817964e~9, )
aform(2): (20470684e~7, 27438561e~8, ) -- (0e0, 33363799e~12, )(82538479e~13, 0e0, )(0e0, 15321919e~10, )(14355980e~10, 0e0, )(11234042e~11, 15875366e~10, )(21614633e~11, 23731953e~10, )(31130893e~11, 16808638e~10, )(18587852e~10, ~47569700e~11, )(59330032e~10, 31345924e~10, )(20264763e~9, ~36526650e~9, )
aform(2): (20212198e~7, 28185781e~8, ) -- (0e0, 21701976e~12, )(59080423e~13, 0e0, )(0e0, 61006724e~11, )(76211223e~11, 0e0, )(87357034e~12, 16932125e~10, )(34535199e~10, 91671477e~10, )(55549298e~10, ~37125973e~10, )(96834686e~10, ~18749957e~9, )
aform(2): (20041847e~7, 29642418e~8, ) -- (0e0, 20944099e~12, )(58826598e~13, 0e0, )(0e0, 73271155e~11, )(79232536e~11, 0e0, )(10126567e~11, 16606067e~10, )(35608352e~10, 90576357e~10, )(55057964e~10, ~38960698e~10, )(94503117e~10, ~19074662e~9, )
aform(2): (196911765e~8, 34914066e~8, ) -- (0e0, 91461909e~12, )(29370496e~12, 0e0, )(0e0, 12585786e~10, )(85056699e~11, 0e0, )(18345122e~11, 13788143e~10, )(39243110e~10, 87486468e~10, )(49818365e~10, ~42165084e~10, )(90888534e~10, ~20187718e~9, )
=XS: 7 PS: 10 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 7
aform(2): (194463336e~8, 33608947e~8, ) -- (0e0, 83917877e~12, )(28057120e~12, 0e0, )(0e0, 34887934e~11, )(92162556e~11, 0e0, )(40957452e~12, 12259250e~10, )(23825492e~11, 13285330e~10, )(43437309e~10, 81425605e~10, )(47872711e~10, ~45590359e~10, )(82372262e~10, ~20445480e~9, )
aform(2): (197175553e~8, 32614324e~8, ) -- (0e0, 19377342e~12, )(58188290e~13, 0e0, )(0e0, 13197780e~11, )(88065287e~11, 0e0, )(98326458e~13, 12302859e~10, )(19422321e~11, 13444148e~10, )(39926598e~10, 84791640e~10, )(49488950e~10, ~42141582e~10, )(89311368e~10, ~19902541e~9, )
aform(2): (198757689e~8, 31019441e~8, ) -- (0e0, 20078811e~12, )(58334911e~13, 0e0, )(0e0, 19754275e~11, )(83891317e~11, 0e0, )(17818333e~12, 11011138e~10, )(17833069e~11, 13365164e~10, )(38829650e~10, 85791854e~10, )(50036859e~10, ~40346628e~10, )(91893346e~10, ~19532242e~9, )
aform(2): (20491239e~7, 25181848e~8, ) -- (0e0, 32825796e~12, )(80476663e~13, 0e0, )(0e0, 12505079e~11, )(14478304e~10, 0e0, )(11970249e~12, 14940010e~10, )(12474305e~11, 15461026e~10, )(23468692e~11, 23104561e~10, )(32444068e~11, 16338029e~10, )(18587852e~10, ~47569700e~11, )(59574922e~10, 29580388e~10, )(19979398e~9, ~35952367e~9, )
aform(2): (20233346e~7, 25952527e~8, ) -- (0e0, 21439091e~12, )(57727910e~13, 0e0, )(0e0, 68173855e~11, )(77295763e~11, 0e0, )(10058525e~11, 16509390e~10, )(35251382e~10, 88884593e~10, )(55259252e~10, ~37159535e~10, )(95369846e~10, ~18459855e~9, )
aform(2): (20064131e~7, 27402589e~8, ) -- (0e0, 20713366e~12, )(57514565e~13, 0e0, )(0e0, 80698049e~11, )(80409751e~11, 0e0, )(11423916e~11, 16197377e~10, )(36315980e~10, 87832886e~10, )(54753583e~10, ~38983680e~10, )(93012909e~10, ~18786657e~9, )
aform(2): (195645947e~8, 34144132e~8, ) -- (0e0, 87675821e~12, )(28730265e~12, 0e0, )(0e0, 17302944e~11, )(88621961e~11, 0e0, )(20867517e~12, 12769780e~10, )(21129697e~11, 13572792e~10, )(41656837e~10, 85085939e~10, )(48828131e~10, ~43811976e~10, )(86732953e~10, ~20349517e~9, )
=XS: 7 PS: 15 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 5
aform(2): (195903875e~8, 31884047e~8, ) -- (0e0, 18619718e~12, )(57079627e~13, 0e0, )(0e0, 30505602e~11, )(91698725e~11, 0e0, )(30843907e~12, 12483865e~10, )(22190071e~11, 13234385e~10, )(42321571e~10, 82446001e~10, )(48485850e~10, ~43735222e~10, )(85143147e~10, ~20058252e~9, )
aform(2): (197421557e~8, 30361377e~8, ) -- (0e0, 19197112e~12, )(56906811e~13, 0e0, )(0e0, 19225454e~11, )(88765445e~11, 0e0, )(19444254e~12, 12023537e~10, )(20472645e~11, 13106144e~10, )(40589032e~10, 82165537e~10, )(49159719e~10, ~42074721e~10, )(87756482e~10, ~19613033e~9, )
aform(2): (198991269e~8, 28775537e~8, ) -- (0e0, 19870420e~12, )(57025357e~13, 0e0, )(0e0, 25902167e~11, )(84644709e~11, 0e0, )(26420785e~12, 10754217e~10, )(18877222e~11, 13025979e~10, )(39499899e~10, 83136893e~10, )(49721651e~10, ~40289555e~10, )(90367390e~10, ~19242330e~9, )
aform(2): (20084684e~7, 25211606e~8, ) -- (0e0, 20468654e~12, )(56212536e~13, 0e0, )(0e0, 88199802e~11, )(81631603e~11, 0e0, )(12689336e~11, 15795761e~10, )(37002174e~10, 85160971e~10, )(54449023e~10, ~38960312e~10, )(91545201e~10, ~18495145e~9, )
aform(2): (194463336e~8, 33608947e~8, ) -- (0e0, 83917877e~12, )(28057120e~12, 0e0, )(0e0, 34887934e~11, )(92162556e~11, 0e0, )(40957452e~12, 12259250e~10, )(23825492e~11, 13285330e~10, )(43437309e~10, 81425605e~10, )(47872711e~10, ~45590359e~10, )(82372262e~10, ~20445480e~9, )
=XS: 5 PS: 20 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 4
aform(2): (196144322e~8, 29669181e~8, ) -- (0e0, 18452160e~12, )(55831270e~13, 0e0, )(0e0, 36847962e~11, )(92522431e~11, 0e0, )(40596928e~12, 12201671e~10, )(23224008e~11, 12901978e~10, )(42965680e~10, 79874443e~10, )(48144169e~10, ~43617590e~10, )(83576096e~10, ~19763164e~9, )
aform(2): (197650141e~8, 28154820e~8, ) -- (0e0, 19001692e~12, )(55633050e~13, 0e0, )(0e0, 25275751e~11, )(89499785e~11, 0e0, )(28837643e~12, 11748021e~10, )(21496563e~11, 12774293e~10, )(41230951e~10, 79608319e~10, )(48831010e~10, ~41966750e~10, )(86224214e~10, ~19319804e~9, )
aform(2): (199207503e~8, 26579191e~8, ) -- (0e0, 19647326e~12, )(55724857e~13, 0e0, )(0e0, 13709018e~10, )(88915134e~11, 0e0, )(19894877e~11, 12693142e~10, )(40149406e~10, 80552514e~10, )(49406889e~10, ~40191247e~10, )(88864083e~10, ~18948840e~9, )
aform(2): (194717209e~8, 31381340e~8, ) -- (0e0, 17850805e~12, )(55842947e~13, 0e0, )(0e0, 48074445e~11, )(95306413e~11, 0e0, )(50534992e~12, 11985458e~10, )(24863409e~11, 12953679e~10, )(44073446e~10, 78873187e~10, )(47516536e~10, ~45462507e~10, )(80774959e~10, ~20149646e~9, )
=XS: 4 PS: 24 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 3
aform(2): (196367640e~8, 27499157e~8, ) -- (0e0, 18270127e~12, )(54591051e~13, 0e0, )(0e0, 43221254e~11, )(93383062e~11, 0e0, )(50129484e~12, 11923391e~10, )(24231975e~11, 12575722e~10, )(43589699e~10, 77371348e~10, )(47803406e~10, ~43461246e~10, )(82032099e~10, ~19464837e~9, )
aform(2): (197861665e~8, 25994207e~8, ) -- (0e0, 18792288e~12, )(54368491e~13, 0e0, )(0e0, 31349435e~11, )(90268499e~11, 0e0, )(38015785e~12, 11476493e~10, )(22494554e~11, 12448736e~10, )(41852891e~10, 77119994e~10, )(48503145e~10, ~41819869e~10, )(84714854e~10, ~19023434e~9, )
aform(2): (194953850e~8, 29197571e~8, ) -- (0e0, 17695247e~12, )(54630190e~13, 0e0, )(0e0, 54706270e~11, )(96254397e~11, 0e0, )(59898631e~12, 11715301e~10, )(25875415e~11, 12628017e~10, )(44689643e~10, 76387966e~10, )(47161360e~10, ~45295935e~10, )(79200768e~10, ~19850441e~9, )
=XS: 3 PS: 27 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 2
aform(2): (196574179e~8, 25373555e~8, ) -- (0e0, 18074760e~12, )(53360364e~13, 0e0, )(0e0, 49626402e~11, )(94280991e~11, 0e0, )(59444634e~12, 11649202e~10, )(25214453e~11, 12255747e~10, )(44194163e~10, 74936655e~10, )(47463865e~10, ~43268310e~10, )(80511409e~10, ~19163825e~9, )
aform(2): (195173600e~8, 27057287e~8, ) -- (0e0, 17525945e~12, )(53425933e~13, 0e0, )(0e0, 61376997e~11, )(97241989e~11, 0e0, )(69051211e~12, 11448958e~10, )(26861979e~11, 12308481e~10, )(45286424e~10, 73969952e~10, )(46807486e~10, ~45092741e~10, )(77649952e~10, ~19548421e~9, )
=XS: 2 PS: 29 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 1
aform(2): (195376797e~8, 24960101e~8, ) -- (0e0, 17343982e~12, )(52231490e~13, 0e0, )(0e0, 68087663e~11, )(98269488e~11, 0e0, )(77995710e~12, 11186590e~10, )(27823579e~11, 11995190e~10, )(45864314e~10, 71619026e~10, )(46455199e~10, ~44854979e~10, )(76122732e~10, ~19244118e~9, )
=XS: 1 PS: 30 RS: 0 Flowing towards: (0e0, 1e0, ) -- 28125e~5
=XS above: 0
= Collecting: 30aforms ... = Collected to  4 aforms!
aform(2): (194512899e~8, 28125e~5, ) -- (19467602e~9, 0e0, )
aform(2): (198406419e~8, 28125e~5, ) -- (19467602e~9, 0e0, )
aform(2): (20229994e~7, 28125e~5, ) -- (19467602e~9, 0e0, )
aform(2): (20619346e~7, 28125e~5, ) -- (19467602e~9, 0e0, )
= Ys: 1 Rss: 0= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (194512899e~8, 28125e~5, ) -- (19467602e~9, 0e0, )
aform(2): (198406419e~8, 28125e~5, ) -- (19467602e~9, 0e0, )
aform(2): (20229994e~7, 28125e~5, ) -- (19467602e~9, 0e0, )
aform(2): (20619346e~7, 28125e~5, ) -- (19467602e~9, 0e0, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (194919734e~8, 23947205e~8, ) -- (0e0, 56869182e~12, )(12955024e~12, 0e0, )(0e0, 16654967e~13, )(49230144e~17, 0e0, )(19467602e~9, ~63699671e~11, )
aform(2): (198812318e~8, 23826855e~8, ) -- (0e0, 62032553e~12, )(13650400e~12, 0e0, )(0e0, 16655843e~13, )(70132116e~17, 0e0, )(19467602e~9, ~64365860e~11, )
aform(2): (20270489e~7, 23705588e~8, ) -- (0e0, 67598298e~12, )(14380903e~12, 0e0, )(0e0, 16655074e~13, )(91034088e~17, 0e0, )(19467602e~9, ~65032049e~11, )
aform(2): (20659746e~7, 23583413e~8, ) -- (0e0, 73593673e~12, )(15147637e~12, 0e0, )(0e0, 16654995e~13, )(11193606e~16, 0e0, )(19467602e~9, ~65698238e~11, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (195262602e~8, 19937054e~8, ) -- (0e0, 55101213e~12, )(12439628e~12, 0e0, )(0e0, 63735968e~12, )(13870222e~12, 0e0, )(19457649e~9, ~11972862e~10, )
aform(2): (199152484e~8, 19711332e~8, ) -- (0e0, 59984846e~12, )(13085880e~12, 0e0, )(0e0, 69325544e~12, )(14646463e~12, 0e0, )(19457545e~9, ~12063306e~10, )
aform(2): (20304234e~7, 19484546e~8, ) -- (0e0, 65234034e~12, )(13762667e~12, 0e0, )(0e0, 75367278e~12, )(15465852e~12, 0e0, )(19457441e~9, ~12152440e~10, )
aform(2): (20693218e~7, 19256738e~8, ) -- (0e0, 70871964e~12, )(14470764e~12, 0e0, )(0e0, 81893860e~12, )(16325362e~12, 0e0, )(19457337e~9, ~12240249e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (195544091e~8, 16090778e~8, ) -- (0e0, 53287367e~12, )(11924641e~12, 0e0, )(0e0, 12754635e~11, )(28166755e~12, 0e0, )(19438941e~9, ~16854043e~10, )
aform(2): (199429735e~8, 15773716e~8, ) -- (0e0, 57891486e~12, )(12523212e~12, 0e0, )(0e0, 13887401e~11, )(29753537e~12, 0e0, )(19438696e~9, ~16931387e~10, )
aform(2): (20331534e~7, 15456105e~8, ) -- (0e0, 62825723e~12, )(13148072e~12, 0e0, )(0e0, 15112001e~11, )(31425921e~12, 0e0, )(19438453e~9, ~17005277e~10, )
aform(2): (20720092e~7, 15138028e~8, ) -- (0e0, 68109554e~12, )(13799717e~12, 0e0, )(0e0, 16435077e~11, )(33184149e~12, 0e0, )(19438211e~9, ~17075693e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (195766728e~8, 12404181e~8, ) -- (0e0, 51438733e~12, )(11412120e~12, 0e0, )(0e0, 19301942e~11, )(42917367e~12, 0e0, )(19412607e~9, ~21059127e~10, )
aform(2): (199646810e~8, 12008876e~8, ) -- (0e0, 55765566e~12, )(11964655e~12, 0e0, )(0e0, 21023611e~11, )(45351245e~12, 0e0, )(19412241e~9, ~21091964e~10, )
aform(2): (20352685e~7, 11614092e~8, ) -- (0e0, 60388713e~12, )(12539586e~12, 0e0, )(0e0, 22885362e~11, )(47918019e~12, 0e0, )(19411882e~9, ~21118779e~10, )
aform(2): (20740687e~7, 11219956e~8, ) -- (0e0, 65324338e~12, )(13137183e~12, 0e0, )(0e0, 24897391e~11, )(50616512e~12, 0e0, )(19411531e~9, ~21139574e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (195932975e~8, 88727219e~9, ) -- (0e0, 49565955e~12, )(10903930e~12, 0e0, )(0e0, 26008591e~11, )(58150076e~12, 0e0, )(19379702e~9, ~24633458e~10, )
aform(2): (199806366e~8, 84113475e~9, ) -- (0e0, 53619527e~12, )(11412240e~12, 0e0, )(0e0, 28334738e~11, )(61473006e~12, 0e0, )(19379284e~9, ~24595515e~10, )
aform(2): (20367974e~7, 79520230e~9, ) -- (0e0, 57937450e~12, )(11939410e~12, 0e0, )(0e0, 30851110e~11, )(64977289e~12, 0e0, )(19378884e~9, ~24548899e~10, )
aform(2): (20755311e~7, 74949188e~9, ) -- (0e0, 62532967e~12, )(12485530e~12, 0e0, )(0e0, 31002807e~11, )(68666026e~12, 0e0, )(19378500e~9, ~24493675e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (196045216e~8, 54915824e~9, ) -- (0e0, 47679132e~12, )(10401744e~12, 0e0, )(0e0, 30561053e~11, )(73892919e~12, 0e0, )(19341212e~9, ~27621660e~10, )
aform(2): (199910972e~8, 49754135e~9, ) -- (0e0, 51465048e~12, )(10867771e~12, 0e0, )(0e0, 33165831e~11, )(78151204e~12, 0e0, )(19340854e~9, ~27491389e~10, )
aform(2): (20377676e~7, 44631942e~9, ) -- (0e0, 55485344e~12, )(11349473e~12, 0e0, )(0e0, 35969336e~11, )(82642912e~12, 0e0, )(19340526e~9, ~27349996e~10, )
aform(2): (20764259e~7, 39551313e~9, ) -- (0e0, 59717449e~12, )(11835856e~12, 0e0, )(0e0, 36545371e~11, )(86974416e~12, 0e0, )(19340229e~9, ~27197648e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (196105761e~8, 22557330e~9, ) -- (0e0, 45766119e~12, )(98986009e~13, 0e0, )(0e0, 34748089e~11, )(89814828e~12, 0e0, )(19298053e~9, ~30067268e~10, )
aform(2): (199963108e~8, 16951741e~9, ) -- (0e0, 49284898e~12, )(10322608e~12, 0e0, )(0e0, 37578653e~11, )(95005999e~12, 0e0, )(19297899e~9, ~29827430e~10, )
aform(2): (20382056e~7, 11407560e~9, ) -- (0e0, 53008559e~12, )(10759129e~12, 0e0, )(0e0, 40611054e~11, )(10048002e~11, 0e0, )(19297792e~9, ~29574445e~10, )
aform(2): (20767814e~7, 59271142e~10, ) -- (0e0, 56912131e~12, )(11197502e~12, 0e0, )(0e0, 41536799e~11, )(10545520e~11, 0e0, )(19297732e~9, ~29308625e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (196116841e~8, ~84002331e~10, ) -- (0e0, 43982691e~12, )(94150093e~13, 0e0, )(0e0, 38572155e~11, )(10585826e~11, 0e0, )(19251073e~9, ~32012427e~10, )
aform(2): (199965160e~8, ~14354107e~9, ) -- (0e0, 47307884e~12, )(98041904e~13, 0e0, )(0e0, 41578319e~11, )(11197049e~11, 0e0, )(19251293e~9, ~31649674e~10, )
aform(2): (20381370e~7, ~20222466e~9, ) -- (0e0, 50816401e~12, )(10203137e~12, 0e0, )(0e0, 44784614e~11, )(11841357e~11, 0e0, )(19251582e~9, ~31272345e~10, )
aform(2): (20766249e~7, ~26002848e~9, ) -- (0e0, 54477936e~12, )(10601084e~12, 0e0, )(0e0, 45993475e~11, )(12403317e~11, 0e0, )(19251938e~9, ~30880939e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (196080605e~8, ~38009818e~9, ) -- (0e0, 42415292e~12, )(89584013e~13, 0e0, )(0e0, 42062844e~11, )(12198811e~11, 0e0, )(19201054e~9, ~33497655e~10, )
aform(2): (199919419e~8, ~44224228e~9, ) -- (0e0, 45565314e~12, )(93144582e~13, 0e0, )(0e0, 45211795e~11, )(12901085e~11, 0e0, )(19201841e~9, ~33002120e~10, )
aform(2): (20375861e~7, ~50327447e~9, ) -- (0e0, 48871177e~12, )(96767550e~13, 0e0, )(0e0, 48555602e~11, )(13640938e~11, 0e0, )(19202719e~9, ~32491302e~10, )
aform(2): (20759820e~7, ~56317024e~9, ) -- (0e0, 52303887e~12, )(10035345e~12, 0e0, )(0e0, 50001054e~11, )(14267309e~11, 0e0, )(19203686e~9, ~31965921e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (195999115e~8, ~66324581e~9, ) -- (0e0, 41059560e~12, )(85260140e~13, 0e0, )(0e0, 45273428e~11, )(13818245e~11, 0e0, )(19148714e~9, ~34561666e~10, )
aform(2): (199828080e~8, ~72719423e~9, ) -- (0e0, 43972222e~12, )(88428214e~13, 0e0, )(0e0, 48529532e~11, )(14610197e~11, 0e0, )(19150275e~9, ~33926567e~10, )
aform(2): (20365761e~7, ~78976387e~9, ) -- (0e0, 47014325e~12, )(91633638e~13, 0e0, )(0e0, 51971458e~11, )(15443751e~11, 0e0, )(19151951e~9, ~33276288e~10, )
aform(2): (20748775e~7, ~85093192e~9, ) -- (0e0, 50155658e~12, )(94780884e~13, 0e0, )(0e0, 53604914e~11, )(16133889e~11, 0e0, )(19153739e~9, ~32611795e~10, )
ML_statistics = :now=1464100485.23tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=986size_allocation=2532311040size_allocation_free=523087376size_heap=6251655168size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2533548088threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1838.26time_GC=110.588user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (195874351e~8, ~93398116e~9, ) -- (0e0, 39626683e~12, )(80896716e~13, 0e0, )(0e0, 48228909e~11, )(15442426e~11, 0e0, )(19094711e~9, ~35241243e~10, )
aform(2): (199693241e~8, ~99900459e~9, ) -- (0e0, 42302771e~12, )(83686856e~13, 0e0, )(0e0, 51551973e~11, )(16321545e~11, 0e0, )(19097265e~9, ~34462509e~10, )
aform(2): (20351294e~7, ~10623772e~8, ) -- (0e0, 45083584e~12, )(86492072e~13, 0e0, )(0e0, 55048504e~11, )(17245667e~11, 0e0, )(19099957e~9, ~33669555e~10, )
aform(2): (20733348e~7, ~11240794e~8, ) -- (0e0, 47938109e~12, )(89220914e~13, 0e0, )(0e0, 56299810e~11, )(17997765e~11, 0e0, )(19102783e~9, ~32863619e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (195708212e~8, ~11928384e~8, ) -- (0e0, 38132107e~12, )(76517433e~13, 0e0, )(0e0, 50923977e~11, )(17066902e~11, 0e0, )(19039647e~9, ~35571154e~10, )
aform(2): (199516911e~8, ~12582750e~8, ) -- (0e0, 40574440e~12, )(78945547e~13, 0e0, )(0e0, 53881038e~11, )(18030046e~11, 0e0, )(19043417e~9, ~34647067e~10, )
aform(2): (20332670e~7, ~13217876e~8, ) -- (0e0, 43098554e~12, )(81369127e~13, 0e0, )(0e0, 57343756e~11, )(19041212e~11, 0e0, )(19047348e~9, ~33710604e~10, )
aform(2): (20713761e~7, ~13833616e~8, ) -- (0e0, 45665442e~12, )(83678965e~13, 0e0, )(0e0, 58657064e~11, )(19844589e~11, 0e0, )(19051434e~9, ~32763282e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (195502512e~8, ~14403467e~8, ) -- (0e0, 36590118e~12, )(72143216e~13, 0e0, )(0e0, 53356048e~11, )(18687360e~11, 0e0, )(18984067e~9, ~35584101e~10, )
aform(2): (199301003e~8, ~15055979e~8, ) -- (0e0, 38798445e~12, )(74211077e~13, 0e0, )(0e0, 56324415e~11, )(19724855e~11, 0e0, )(18989281e~9, ~34514969e~10, )
aform(2): (20310090e~7, ~15686545e~8, ) -- (0e0, 41071049e~12, )(76269743e~13, 0e0, )(0e0, 59344275e~11, )(20818262e~11, 0e0, )(18994675e~9, ~33436186e~10, )
aform(2): (20690225e~7, ~16295083e~8, ) -- (0e0, 43365193e~12, )(78202553e~13, 0e0, )(0e0, 61150145e~11, )(21669310e~11, 0e0, )(19000241e~9, ~32349550e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (195258983e~8, ~16770281e~8, ) -- (0e0, 35013824e~12, )(67792473e~13, 0e0, )(0e0, 55525000e~11, )(20299684e~11, 0e0, )(18928467e~9, ~35310709e~10, )
aform(2): (199047336e~8, ~17415543e~8, ) -- (0e0, 36998931e~12, )(69533392e~13, 0e0, )(0e0, 58470251e~11, )(21407703e~11, 0e0, )(18935351e~9, ~34098564e~10, )
aform(2): (20283746e~7, ~18036206e~8, ) -- (0e0, 39023279e~12, )(71233004e~13, 0e0, )(0e0, 61454392e~11, )(22572530e~11, 0e0, )(18942431e~9, ~32880350e~10, )
aform(2): (20662940e~7, ~18632272e~8, ) -- (0e0, 41061764e~12, )(72831285e~13, 0e0, )(0e0, 63268330e~11, )(23474655e~11, 0e0, )(18949695e~9, ~31658145e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (194979278e~8, ~19033950e~8, ) -- (0e0, 33415159e~12, )(63481263e~13, 0e0, )(0e0, 57432834e~11, )(21899925e~11, 0e0, )(18873294e~9, ~34779540e~10, )
aform(2): (198757644e~8, ~19667113e~8, ) -- (0e0, 35184117e~12, )(64913113e~13, 0e0, )(0e0, 60323804e~11, )(23074454e~11, 0e0, )(18882072e~9, ~33427856e~10, )
aform(2): (20253819e~7, ~20273106e~8, ) -- (0e0, 36974953e~12, )(66291520e~13, 0e0, )(0e0, 63238775e~11, )(24306227e~11, 0e0, )(18891056e~9, ~32074510e~10, )
aform(2): (20632095e~7, ~20852026e~8, ) -- (0e0, 38762856e~12, )(67559842e~13, 0e0, )(0e0, 49881911e~12, )(24267146e~11, 0e0, )(98856766e~13, 60036138e~11, )(18900229e~9, ~30721843e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (194664968e~8, ~21199485e~8, ) -- (0e0, 31804884e~12, )(59223467e~13, 0e0, )(0e0, 59083455e~11, )(23484372e~11, 0e0, )(18818951e~9, ~34017123e~10, )
aform(2): (198433571e~8, ~21816209e~8, ) -- (0e0, 33365652e~12, )(60364242e~13, 0e0, )(0e0, 61891715e~11, )(24721151e~11, 0e0, )(18829841e~9, ~32530567e~10, )
aform(2): (20220479e~7, ~22403290e~8, ) -- (0e0, 34932697e~12, )(61441485e~13, 0e0, )(0e0, 45344209e~12, )(25026995e~11, 0e0, )(98810586e~13, 60173501e~11, )(18840939e~9, ~31047536e~10, )
aform(2): (20597868e~7, ~22960938e~8, ) -- (0e0, 36481697e~12, )(62401941e~13, 0e0, )(0e0, 66935222e~11, )(27007909e~11, 0e0, )(18852226e~9, ~29570606e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (194317549e~8, ~23271773e~8, ) -- (0e0, 30192631e~12, )(55030960e~13, 0e0, )(0e0, 60482338e~11, )(25049494e~11, 0e0, )(18765799e~9, ~33048008e~10, )
aform(2): (198076675e~8, ~23868182e~8, ) -- (0e0, 31553834e~12, )(55898569e~13, 0e0, )(0e0, 63182211e~11, )(26344006e~11, 0e0, )(18779012e~9, ~31432218e~10, )
aform(2): (20183890e~7, ~24432596e~8, ) -- (0e0, 32907400e~12, )(56694436e~13, 0e0, )(0e0, 66307974e~11, )(27695237e~11, 0e0, )(18792427e~9, ~29825858e~10, )
aform(2): (20560427e~7, ~24965344e~8, ) -- (0e0, 34237348e~12, )(57389605e~13, 0e0, )(0e0, 44407541e~12, )(27689104e~11, 0e0, )(10458628e~12, 63543780e~11, )(18806022e~9, ~28231719e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (193938442e~8, ~25255561e~8, ) -- (0e0, 28586939e~12, )(50913770e~13, 0e0, )(0e0, 61636330e~11, )(26592085e~11, 0e0, )(18714161e~9, ~31894833e~10, )
aform(2): (197688435e~8, ~25828212e~8, ) -- (0e0, 29757677e~12, )(51525875e~13, 0e0, )(0e0, 39087033e~12, )(26952356e~11, 0e0, )(98722205e~13, 60296130e~11, )(18729899e~9, ~30156215e~10, )
aform(2): (20144205e~7, ~26366645e~8, ) -- (0e0, 31342671e~12, )(53431936e~13, 0e0, )(0e0, 40384437e~12, )(28313612e~11, 0e0, )(10360621e~12, 63123229e~11, )(18745825e~9, ~28433592e~10, )
aform(2): (20519931e~7, ~26871322e~8, ) -- (0e0, 33188400e~12, )(56001668e~13, 0e0, )(0e0, 88512036e~12, )(28386026e~11, 0e0, )(20387344e~12, 60339909e~11, )(18761910e~9, ~26729933e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (193528992e~8, ~27155448e~8, ) -- (0e0, 27242349e~12, )(47749010e~13, 0e0, )(0e0, 62553356e~11, )(28108991e~11, 0e0, )(18664326e~9, ~30578402e~10, )
aform(2): (197270248e~8, ~27701294e~8, ) -- (0e0, 28908655e~12, )(50340765e~13, 0e0, )(0e0, 65344216e~11, )(29504611e~11, 0e0, )(18682780e~9, ~28723952e~10, )
aform(2): (20101567e~7, ~28210837e~8, ) -- (0e0, 29038509e~12, )(52856928e~13, 0e0, )(0e0, 81200858e~12, )(28960129e~11, 0e0, )(20223625e~12, 60108238e~11, )(18701397e~9, ~26892657e~10, )
aform(2): (20476529e~7, ~28684682e~8, ) -- (0e0, 29998093e~12, )(55238099e~13, 0e0, )(0e0, 70713423e~11, )(32117823e~11, 0e0, )(18720145e~9, ~25087628e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (193090477e~8, ~28975885e~8, ) -- (0e0, 25492729e~12, )(47503264e~13, 0e0, )(0e0, 34436261e~12, )(28629086e~11, 0e0, )(97739619e~13, 59870064e~11, )(18616547e~9, ~29117765e~10, )
aform(2): (196823436e~8, ~29492236e~8, ) -- (0e0, 26356176e~12, )(49927274e~13, 0e0, )(0e0, 36390282e~12, )(30053203e~11, 0e0, )(10210033e~12, 62391928e~11, )(18637899e~9, ~27154913e~10, )
aform(2): (20056115e~7, ~29970345e~8, ) -- (0e0, 27184502e~12, )(52248880e~13, 0e0, )(0e0, 69433735e~11, )(32622504e~11, 0e0, )(18659377e~9, ~25222909e~10, )
aform(2): (20430362e~7, ~30410972e~8, ) -- (0e0, 27967583e~12, )(54450517e~13, 0e0, )(0e0, 37987087e~12, )(32717175e~11, 0e0, )(11048972e~12, 67185616e~11, )(18680945e~9, ~23324961e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (192624104e~8, ~30721160e~8, ) -- (0e0, 24001990e~12, )(47204180e~13, 0e0, )(0e0, 64193644e~11, )(31110690e~11, 0e0, )(18571050e~9, ~27530309e~10, )
aform(2): (196349245e~8, ~31205655e~8, ) -- (0e0, 24707669e~12, )(49452059e~13, 0e0, )(0e0, 71973430e~12, )(30650604e~11, 0e0, )(19958772e~12, 59592760e~11, )(18595470e~9, ~25466789e~10, )
aform(2): (20007975e~7, ~31650120e~8, ) -- (0e0, 25380896e~12, )(51618386e~13, 0e0, )(0e0, 35083651e~12, )(33187483e~11, 0e0, )(10849021e~12, 66154642e~11, )(18619966e~9, ~23442273e~10, )
aform(2): (20381562e~7, ~32055475e~8, ) -- (0e0, 25979922e~12, )(53597362e~13, 0e0, )(0e0, 75952991e~12, )(33364747e~11, 0e0, )(21546724e~12, 63857820e~11, )(18644500e~9, ~21460023e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (192131017e~8, ~32395404e~8, ) -- (0e0, 22544537e~12, )(46871724e~13, 0e0, )(0e0, 31542570e~12, )(31620328e~11, 0e0, )(10030256e~12, 61475039e~11, )(18528034e~9, ~25831852e~10, )
aform(2): (195848853e~8, ~32845979e~8, ) -- (0e0, 23102449e~12, )(48952362e~13, 0e0, )(0e0, 67702957e~11, )(34223237e~11, 0e0, )(18555678e~9, ~23675582e~10, )
aform(2): (199572697e~8, ~33254889e~8, ) -- (0e0, 23615745e~12, )(50928863e~13, 0e0, )(0e0, 70138307e~12, )(33798149e~11, 0e0, )(21185684e~12, 63054863e~11, )(18583338e~9, ~21566872e~10, )
aform(2): (20330251e~7, ~33623221e~8, ) -- (0e0, 24059457e~12, )(52741532e~13, 0e0, )(0e0, 11390059e~11, )(34060094e~11, 0e0, )(31524509e~12, 60721072e~11, )(18610969e~9, ~19508995e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (191612293e~8, ~34002586e~8, ) -- (0e0, 21117370e~12, )(46492821e~13, 0e0, )(0e0, 63090008e~12, )(32173635e~11, 0e0, )(19635731e~12, 58893627e~11, )(18487672e~9, ~24036738e~10, )
aform(2): (195323369e~8, ~34417446e~8, ) -- (0e0, 21544094e~12, )(48435202e~13, 0e0, )(0e0, 31080435e~12, )(34748927e~11, 0e0, )(10578587e~12, 64703211e~11, )(18518685e~9, ~21795719e~10, )
aform(2): (199041115e~8, ~34789160e~8, ) -- (0e0, 21908456e~12, )(50232300e~13, 0e0, )(0e0, 10516477e~11, )(34453955e~11, 0e0, )(31038006e~12, 60126824e~11, )(18549640e~9, ~19611160e~10, )
aform(2): (20276548e~7, ~35118988e~8, ) -- (0e0, 22209014e~12, )(51889675e~13, 0e0, )(0e0, 72952511e~11, )(38904294e~11, 0e0, )(18580486e~9, ~17486289e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (191068951e~8, ~35546514e~8, ) -- (0e0, 19730337e~12, )(46094328e~13, 0e0, )(0e0, 65908512e~11, )(35654005e~11, 0e0, )(18450115e~9, ~22157925e~10, )
aform(2): (194773837e~8, ~35924106e~8, ) -- (0e0, 20023237e~12, )(47872443e~13, 0e0, )(0e0, 62087512e~12, )(35315588e~11, 0e0, )(20688463e~12, 61862852e~11, )(18484629e~9, ~19840162e~10, )
aform(2): (198486078e~8, ~36257226e~8, ) -- (0e0, 20261470e~12, )(49534793e~13, 0e0, )(0e0, 71381587e~11, )(39198206e~11, 0e0, )(18518997e~9, ~17588040e~10, )
aform(2): (20220560e~7, ~36547307e~8, ) -- (0e0, 20430510e~12, )(51047597e~13, 0e0, )(0e0, 30897691e~12, )(39457939e~11, 0e0, )(11398829e~12, 69405897e~11, )(18553164e~9, ~15404696e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (190501950e~8, ~37030838e~8, ) -- (0e0, 18385889e~12, )(45682010e~13, 0e0, )(0e0, 27802547e~12, )(36145835e~11, 0e0, )(10298205e~12, 63178731e~11, )(18415493e~9, ~20207083e~10, )
aform(2): (194201239e~8, ~37369829e~8, ) -- (0e0, 18554243e~12, )(47304831e~13, 0e0, )(0e0, 93023672e~12, )(35922685e~11, 0e0, )(30354534e~12, 59175368e~11, )(18453628e~9, ~17820513e~10, )
aform(2): (197908586e~8, ~37663170e~8, ) -- (0e0, 18676486e~12, )(48841725e~13, 0e0, )(0e0, 28882878e~12, )(39725305e~11, 0e0, )(11153373e~12, 68102861e~11, )(18491516e~9, ~15508992e~10, )
aform(2): (20162389e~7, ~37912477e~8, ) -- (0e0, 18702656e~12, )(50161762e~13, 0e0, )(0e0, 61596658e~12, )(40048654e~11, 0e0, )(22243501e~12, 66064806e~11, )(18529094e~9, ~13275518e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (189912195e~8, ~38459050e~8, ) -- (0e0, 17076824e~12, )(45234616e~13, 0e0, )(0e0, 55513153e~12, )(36674841e~11, 0e0, )(20169881e~12, 60589981e~11, )(18383919e~9, ~18194681e~10, )
aform(2): (193606499e~8, ~38758300e~8, ) -- (0e0, 17138643e~12, )(46737344e~13, 0e0, )(0e0, 69025094e~11, )(40530153e~11, 0e0, )(18425784e~9, ~15747114e~10, )
aform(2): (197309582e~8, ~39010872e~8, ) -- (0e0, 17136701e~12, )(48109581e~13, 0e0, )(0e0, 57591793e~12, )(40288106e~11, 0e0, )(21794445e~12, 65007646e~11, )(18467283e~9, ~13384185e~10, )
aform(2): (20102132e~7, ~39218566e~8, ) -- (0e0, 17048662e~12, )(49296189e~13, 0e0, )(0e0, 92107019e~12, )(40675797e~11, 0e0, )(32566127e~12, 62919073e~11, )(18508351e~9, ~11108698e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (189300537e~8, ~39834488e~8, ) -- (0e0, 15813683e~12, )(44783808e~13, 0e0, )(0e0, 66450244e~11, )(40204384e~11, 0e0, )(18355490e~9, ~16130076e~10, )
aform(2): (192990483e~8, ~40093033e~8, ) -- (0e0, 15777424e~12, )(46174382e~13, 0e0, )(0e0, 25844479e~12, )(41024326e~11, 0e0, )(10785171e~12, 66060954e~11, )(18401179e~9, ~13629150e~10, )
aform(2): (196689945e~8, ~40304017e~8, ) -- (0e0, 15660720e~12, )(47391667e~13, 0e0, )(0e0, 86135070e~12, )(40885995e~11, 0e0, )(31951889e~12, 62087358e~11, )(18446370e~9, ~11222583e~10, )
aform(2): (20039877e~7, ~40469423e~8, ) -- (0e0, 15468450e~12, )(48454458e~13, 0e0, )(0e0, 12246544e~11, )(41339482e~11, 0e0, )(42397232e~12, 59958824e~11, )(18490993e~9, ~89129368e~11, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (188667774e~8, ~41160343e~8, ) -- (0e0, 14597401e~12, )(44333699e~13, 0e0, )(0e0, 24428833e~12, )(40676939e~11, 0e0, )(10382850e~12, 63767866e~11, )(18330287e~9, ~14021595e~10, )
aform(2): (192354005e~8, ~41377372e~8, ) -- (0e0, 14457724e~12, )(45582587e~13, 0e0, )(0e0, 51519760e~12, )(41551144e~11, 0e0, )(21107195e~12, 63257912e~11, )(18379884e~9, ~11474740e~10, )
aform(2): (196050502e~8, ~41546097e~8, ) -- (0e0, 14248573e~12, )(46691434e~13, 0e0, )(0e0, 11454266e~11, )(41518998e~11, 0e0, )(41653039e~12, 59333626e~11, )(18428835e~9, ~90320554e~11, )
aform(2): (199757082e~8, ~41668687e~8, ) -- (0e0, 13961452e~12, )(47639586e~13, 0e0, )(0e0, 72445719e~11, )(47216178e~11, 0e0, )(18477067e~9, ~66958128e~11, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (188014658e~8, ~42439657e~8, ) -- (0e0, 13420839e~12, )(43865883e~13, 0e0, )(0e0, 48712359e~12, )(41181329e~11, 0e0, )(20346579e~12, 61226570e~11, )(18308378e~9, ~11876617e~10, )
aform(2): (191697829e~8, ~42614496e~8, ) -- (0e0, 13193267e~12, )(45003404e~13, 0e0, )(0e0, 77034321e~12, )(42110147e~11, 0e0, )(30991244e~12, 60608731e~11, )(18361954e~9, ~92910242e~11, )
aform(2): (195392024e~8, ~42740424e~8, ) -- (0e0, 12899876e~12, )(46011829e~13, 0e0, )(0e0, 71022999e~11, )(47279587e~11, 0e0, )(18414722e~9, ~68194671e~11, )
aform(2): (199097027e~8, ~42819797e~8, ) -- (0e0, 12526686e~12, )(46854068e~13, 0e0, )(0e0, 23580189e~12, )(47714474e~11, 0e0, )(11319643e~12, 69060818e~11, )(18466605e~9, ~44638793e~11, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (187341894e~8, ~43675331e~8, ) -- (0e0, 12292004e~12, )(43406164e~13, 0e0, )(0e0, 72860250e~12, )(41717119e~11, 0e0, )(29913231e~12, 58820414e~11, )(18289821e~9, ~97016455e~11, )
aform(2): (191022667e~8, ~43807427e~8, ) -- (0e0, 11983826e~12, )(44439688e~13, 0e0, )(0e0, 68347658e~11, )(46747310e~11, 0e0, )(18347437e~9, ~70842483e~11, )
aform(2): (194715233e~8, ~43890136e~8, ) -- (0e0, 11613893e~12, )(45355341e~13, 0e0, )(0e0, 22479513e~12, )(47759913e~11, 0e0, )(11097343e~12, 67895985e~11, )(18404067e~9, ~45907722e~11, )
aform(2): (198419336e~8, ~43925999e~8, ) -- (0e0, 11141823e~12, )(46045585e~13, 0e0, )(0e0, 46882732e~12, )(48239519e~11, 0e0, )(22110396e~12, 65874950e~11, )(18459630e~9, ~22227667e~11, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (186650141e~8, ~44870132e~8, ) -- (0e0, 11210798e~12, )(42957321e~13, 0e0, )(0e0, 66232830e~11, )(46194655e~11, 0e0, )(18274662e~9, ~75023854e~11, )
aform(2): (190329189e~8, ~44959036e~8, ) -- (0e0, 10828871e~12, )(43893889e~13, 0e0, )(0e0, 21456436e~12, )(47210448e~11, 0e0, )(10679321e~12, 65518742e~11, )(18336368e~9, ~48598416e~11, )
aform(2): (194020803e~8, ~44998203e~8, ) -- (0e0, 10372702e~12, )(44678936e~13, 0e0, )(0e0, 44726611e~12, )(48266808e~11, 0e0, )(21706091e~12, 64946954e~11, )(18396894e~9, ~23510971e~11, )
aform(2): (197724688e~8, ~44990359e~8, ) -- (0e0, 98268078e~13, )(45271388e~13, 0e0, )(0e0, 69921684e~12, )(48790717e~11, 0e0, )(32403357e~12, 62877557e~11, )(18456157e~9, 22728763e~13, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (185940018e~8, ~46026694e~8, ) -- (0e0, 10176859e~12, )(42521771e~13, 0e0, )(0e0, 20589935e~12, )(46641805e~11, 0e0, )(10348879e~12, 63662347e~11, )(18262939e~9, ~52838041e~11, )
aform(2): (189618018e~8, ~46072049e~8, ) -- (0e0, 97172481e~13, )(43339530e~13, 0e0, )(0e0, 42714400e~12, )(47699851e~11, 0e0, )(20916625e~12, 62845860e~11, )(18328774e~9, ~26224889e~11, )
aform(2): (193309363e~8, ~46067436e~8, ) -- (0e0, 91923694e~13, )(44030561e~13, 0e0, )(0e0, 66753947e~12, )(48799752e~11, 0e0, )(31854052e~12, 62166949e~11, )(18393220e~9, ~10481837e~12, )
aform(2): (197013713e~8, ~46015767e~8, ) -- (0e0, 93349653e~13, )(44549615e~13, 0e0, )(0e0, 92739390e~12, )(49368124e~11, 0e0, )(42227976e~12, 60058528e~11, )(18456192e~9, 22685622e~11, )
ML_statistics = :now=1464100485.74tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=987size_allocation=2464153600size_allocation_free=2464153600size_heap=6254800896size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2464718872threads_in_ML=1threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1839.268time_GC=110.628user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (185212103e~8, ~47147525e~8, ) -- (0e0, 91812321e~13, )(42077859e~13, 0e0, )(0e0, 41017349e~12, )(47115145e~11, 0e0, )(20296121e~12, 61229450e~11, )(18254684e~9, ~30501979e~11, )
aform(2): (188889737e~8, ~47149052e~8, ) -- (0e0, 86586161e~13, )(42807695e~13, 0e0, )(0e0, 63788277e~12, )(48215264e~11, 0e0, )(30736290e~12, 60321587e~11, )(18324677e~9, ~37619837e~12, )
aform(2): (192581498e~8, ~47100496e~8, ) -- (0e0, 84061345e~13, )(43411495e~13, 0e0, )(0e0, 88592422e~12, )(49358816e~11, 0e0, )(41567638e~12, 59547360e~11, )(18393056e~9, 21443650e~11, )
aform(2): (196286999e~8, ~47004953e~8, ) -- (0e0, 98625748e~13, )(45513405e~13, 0e0, )(0e0, 69076802e~11, )(55134372e~11, 0e0, )(18459737e~9, 45113642e~11, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (184466935e~8, ~48235012e~8, ) -- (0e0, 82317574e~13, )(41651798e~13, 0e0, )(0e0, 61294685e~12, )(47614420e~11, 0e0, )(29863223e~12, 58927979e~11, )(18249918e~9, ~80524968e~12, )
aform(2): (188144890e~8, ~48192501e~8, ) -- (0e0, 76518092e~13, )(42299775e~13, 0e0, )(0e0, 66409176e~11, )(52772716e~11, 0e0, )(18324089e~9, 18756360e~11, )
aform(2): (191837754e~8, ~48099901e~8, ) -- (0e0, 88804938e~13, )(44316776e~13, 0e0, )(0e0, 68191386e~11, )(55031696e~11, 0e0, )(18396407e~9, 43933661e~11, )
aform(2): (195545092e~8, ~47960489e~8, ) -- (0e0, 10371642e~12, )(46487490e~13, 0e0, )(0e0, 21650071e~12, )(55604921e~11, 0e0, )(10793250e~12, 65997640e~11, )(18466786e~9, 67483710e~11, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (183705018e~8, ~49291429e~8, ) -- (0e0, 73275176e~13, )(41245059e~13, 0e0, )(0e0, 64896299e~11, )(52046703e~11, 0e0, )(18248659e~9, 14479164e~11, )
aform(2): (187383983e~8, ~49204725e~8, ) -- (0e0, 79199556e~13, )(43041043e~13, 0e0, )(0e0, 18351586e~12, )(53207689e~11, 0e0, )(10376433e~12, 63773718e~11, )(18327020e~9, 41301772e~11, )
aform(2): (191078640e~8, ~49068031e~8, ) -- (0e0, 93642221e~13, )(45301154e~13, 0e0, )(0e0, 20570672e~12, )(55488802e~11, 0e0, )(10654904e~12, 65335688e~11, )(18403272e~9, 66396492e~11, )
aform(2): (194788499e~8, ~48884801e~8, ) -- (0e0, 10847645e~12, )(47431519e~13, 0e0, )(0e0, 45420488e~12, )(56119850e~11, 0e0, )(21105381e~12, 63100480e~11, )(18477330e~9, 89773615e~11, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (182926820e~8, ~50318938e~8, ) -- (0e0, 70027456e~13, )(41742391e~13, 0e0, )(0e0, 17829632e~12, )(52470680e~11, 0e0, )(10140046e~12, 62488288e~11, )(18250922e~9, 37066853e~11, )
aform(2): (186607486e~8, ~50187934e~8, ) -- (0e0, 83709689e~13, )(44009309e~13, 0e0, )(0e0, 38311662e~12, )(53679212e~11, 0e0, )(20341077e~12, 61285005e~11, )(18333473e~9, 63850918e~11, )
aform(2): (190304625e~8, ~50007137e~8, ) -- (0e0, 98179122e~13, )(46257228e~13, 0e0, )(0e0, 43118821e~12, )(55988654e~11, 0e0, )(20863605e~12, 62643824e~11, )(18413646e~9, 88811742e~11, )
aform(2): (194017690e~8, ~49780178e~8, ) -- (0e0, 11305938e~12, )(48382085e~13, 0e0, )(0e0, 71347326e~12, )(56682105e~11, 0e0, )(30964831e~12, 60375323e~11, )(18491357e~9, 11196599e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (182132777e~8, ~51319597e~8, ) -- (0e0, 74305837e~13, )(42713690e~13, 0e0, )(0e0, 36569601e~12, )(52926915e~11, 0e0, )(19903841e~12, 60210808e~11, )(18256713e~9, 59689038e~11, )
aform(2): (185815838e~8, ~51144224e~8, ) -- (0e0, 88046599e~13, )(44977904e~13, 0e0, )(0e0, 64947175e~11, )(57183940e~11, 0e0, )(18343450e~9, 86385013e~11, )
aform(2): (189516146e~8, ~50919349e~8, ) -- (0e0, 10254189e~12, )(47215807e~13, 0e0, )(0e0, 67673386e~12, )(56533953e~11, 0e0, )(30651703e~12, 60107239e~11, )(18427523e~9, 11116346e~10, )
aform(2): (193233099e~8, ~50648776e~8, ) -- (0e0, 11746756e~12, )(49337130e~13, 0e0, )(0e0, 67760862e~11, )(61334998e~11, 0e0, )(18508852e~9, 13404780e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (181323293e~8, ~52295364e~8, ) -- (0e0, 78417303e~13, )(43682073e~13, 0e0, )(0e0, 63759400e~11, )(56353998e~11, 0e0, )(18266040e~9, 82328384e~11, )
aform(2): (185009442e~8, ~52075585e~8, ) -- (0e0, 92213123e~13, )(45945225e~13, 0e0, )(0e0, 21794499e~12, )(57647551e~11, 0e0, )(10147996e~12, 62458122e~11, )(18356947e~9, 10888937e~10, )
aform(2): (188713609e~8, ~51806681e~8, ) -- (0e0, 10673334e~12, )(48175182e~13, 0e0, )(0e0, 67145388e~11, )(61132307e~11, 0e0, )(18444892e~9, 13343969e~10, )
aform(2): (192435130e~8, ~51492633e~8, ) -- (0e0, 12170389e~12, )(50294876e~13, 0e0, )(0e0, 17573823e~12, )(51181783e~13, 0e0, )(10587634e~12, 64866305e~11, )(61334998e~11, 91753706e~13, )(18529797e~9, 15600985e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (180498743e~8, ~53248104e~8, ) -- (0e0, 82364926e~13, )(44646201e~13, 0e0, )(0e0, 20551362e~12, )(56803079e~11, 0e0, )(99624063e~13, 61480187e~11, )(18278904e~9, 10497135e~10, )
aform(2): (184188674e~8, ~52983902e~8, ) -- (0e0, 96159645e~13, )(46895521e~13, 0e0, )(0e0, 45447782e~12, )(58155487e~11, 0e0, )(19907077e~12, 60108341e~11, )(18373961e~9, 13135302e~10, )
aform(2): (187897387e~8, ~52671040e~8, ) -- (0e0, 11075672e~12, )(49133874e~13, 0e0, )(0e0, 16392025e~12, )(49850228e~13, 0e0, )(10491467e~12, 64458227e~11, )(61132307e~11, 91251920e~13, )(18465742e~9, 15563203e~10, )
aform(2): (191624154e~8, ~52313667e~8, ) -- (0e0, 12565687e~12, )(51224229e~13, 0e0, )(0e0, 36714616e~12, )(10612834e~12, 0e0, )(20722994e~12, 62142829e~11, )(61349334e~11, 18196991e~12, )(18554174e~9, 17784637e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (179659472e~8, ~54179589e~8, ) -- (0e0, 86109521e~13, )(45593067e~13, 0e0, )(0e0, 42824025e~12, )(57294615e~11, 0e0, )(19568685e~12, 59325465e~11, )(18295305e~9, 12760785e~10, )
aform(2): (183353879e~8, ~53870968e~8, ) -- (0e0, 99944400e~13, )(47842420e~13, 0e0, )(0e0, 64989542e~11, )(61640395e~11, 0e0, )(18394485e~9, 15376831e~10, )
aform(2): (187067824e~8, ~53514229e~8, ) -- (0e0, 11452270e~12, )(50066041e~13, 0e0, )(0e0, 34228780e~12, )(10328474e~12, 0e0, )(20563065e~12, 61925621e~11, )(61146565e~11, 18119061e~12, )(18490060e~9, 17773530e~10, )
aform(2): (190800514e~8, ~53113691e~8, ) -- (0e0, 12943865e~12, )(52151668e~13, 0e0, )(0e0, 65326063e~11, )(46938666e~12, 0e0, )(61377767e~11, 27070195e~12, )(18581962e~9, 19955465e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (178805800e~8, ~55091511e~8, ) -- (0e0, 89698835e~13, )(46533923e~13, 0e0, )(0e0, 63973219e~11, )(60714815e~11, 0e0, )(18315244e~9, 15023091e~10, )
aform(2): (182505377e~8, ~54738484e~8, ) -- (0e0, 10357104e~12, )(48784835e~13, 0e0, )(0e0, 15886923e~12, )(49405240e~13, 0e0, )(10154616e~12, 62591160e~11, )(61640395e~11, 93952500e~13, )(18418511e~9, 17613056e~10, )
aform(2): (186225239e~8, ~54337958e~8, ) -- (0e0, 11812261e~12, )(50993634e~13, 0e0, )(0e0, 64892865e~11, )(46288045e~12, 0e0, )(61174876e~11, 26986214e~12, )(18517831e~9, 19974715e~10, )
aform(2): (189964524e~8, ~53894416e~8, ) -- (0e0, 13305321e~12, )(53076047e~13, 0e0, )(0e0, 20491151e~12, )(52356617e~12, 0e0, )(10207197e~12, 62630869e~11, )(61420064e~11, 35800870e~12, )(18613142e~9, 22113464e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (177938019e~8, ~55985479e~8, ) -- (0e0, 93136590e~13, )(47467850e~13, 0e0, )(0e0, 14719190e~12, )(47944680e~13, 0e0, )(99958155e~13, 61776987e~11, )(60714815e~11, 92033824e~13, )(18338718e~9, 17283635e~10, )
aform(2): (181643460e~8, ~55588065e~8, ) -- (0e0, 10698542e~12, )(49706118e~13, 0e0, )(0e0, 33105585e~12, )(10229371e~12, 0e0, )(19934484e~12, 60327482e~11, )(61655075e~11, 18665262e~12, )(18446032e~9, 19843780e~10, )
aform(2): (185369922e~8, ~55143843e~8, ) -- (0e0, 12156056e~12, )(51915709e~13, 0e0, )(0e0, 19226377e~12, )(51572236e~12, 0e0, )(10139510e~12, 62390450e~11, )(61217042e~11, 35731823e~12, )(18549041e~9, 22166776e~10, )
aform(2): (189116473e~8, ~54657459e~8, ) -- (0e0, 13644306e~12, )(53980482e~13, 0e0, )(0e0, 64354761e~11, )(78186213e~12, 0e0, )(61476003e~11, 44395368e~12, )(18647695e~9, 24258870e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (177056398e~8, ~56863027e~8, ) -- (0e0, 96380423e~13, )(48381267e~13, 0e0, )(0e0, 30663712e~12, )(99170241e~13, 0e0, )(19648469e~12, 59701534e~11, )(60729195e~11, 18306364e~12, )(18365723e~9, 19542256e~10, )
aform(2): (180768396e~8, ~56421248e~8, ) -- (0e0, 11024435e~12, )(50619706e~13, 0e0, )(0e0, 63359368e~11, )(45245785e~12, 0e0, )(61684239e~11, 27815543e~12, )(18477038e~9, 22069047e~10, )
aform(2): (184502141e~8, ~55933419e~8, ) -- (0e0, 12479192e~12, )(52818524e~13, 0e0, )(0e0, 64026540e~11, )(77142225e~12, 0e0, )(61272873e~11, 44361543e~12, )(18583677e~9, 24349961e~10, )
aform(2): (188256626e~8, ~55404346e~8, ) -- (0e0, 13967685e~12, )(54880629e~13, 0e0, )(0e0, 22377942e~12, )(83798202e~12, 0e0, )(10055431e~12, 61763975e~11, )(61545370e~11, 52860431e~12, )(18685599e~9, 26392127e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (176161183e~8, ~57725619e~8, ) -- (0e0, 99476293e~13, )(49285054e~13, 0e0, )(0e0, 62526088e~11, )(44362141e~12, 0e0, )(60757799e~11, 27313620e~12, )(18396258e~9, 21799020e~10, )
aform(2): (179880431e~8, ~57239493e~8, ) -- (0e0, 11335217e~12, )(51524936e~13, 0e0, )(0e0, 18594235e~12, )(50480486e~12, 0e0, )(98999013e~13, 61114346e~11, )(61727701e~11, 36852056e~12, )(18511521e~9, 24289115e~10, )
aform(2): (183622139e~8, ~56708139e~8, ) -- (0e0, 12787218e~12, )(53714838e~13, 0e0, )(0e0, 21066679e~12, )(82619441e~12, 0e0, )(10004147e~12, 61621439e~11, )(61342188e~11, 52881440e~12, )(18621724e~9, 26524717e~10, )
aform(2): (187385224e~8, ~56136523e~8, ) -- (0e0, 14271555e~12, )(55764535e~13, 0e0, )(0e0, 63966137e~11, )(10956030e~11, 0e0, )(61627965e~11, 61203115e~12, )(18726837e~9, 28513867e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (175252595e~8, ~58574652e~8, ) -- (0e0, 10242851e~12, )(50178654e~13, 0e0, )(0e0, 17342571e~12, )(49446997e~12, 0e0, )(97697012e~13, 60471249e~11, )(60800476e~11, 36230302e~12, )(18430319e~9, 24054202e~10, )
aform(2): (178979786e~8, ~58044189e~8, ) -- (0e0, 11627430e~12, )(52410708e~13, 0e0, )(0e0, 62851955e~11, )(75550407e~12, 0e0, )(61785282e~11, 45781157e~12, )(18549472e~9, 26504439e~10, )
aform(2): (182730137e~8, ~57469383e~8, ) -- (0e0, 13077116e~12, )(54594898e~13, 0e0, )(0e0, 63719890e~11, )(10815243e~11, 0e0, )(61424815e~11, 61297927e~12, )(18663169e~9, 28691670e~10, )
aform(2): (186502486e~8, ~56855356e~8, ) -- (0e0, 14560902e~12, )(56643232e~13, 0e0, )(0e0, 24223655e~12, )(11535993e~11, 0e0, )(99947089e~13, 61456143e~11, )(61723595e~11, 69430737e~12, )(18771390e~9, 30624885e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (174330837e~8, ~59411461e~8, ) -- (0e0, 10521096e~12, )(51053205e~13, 0e0, )(0e0, 62124956e~11, )(74114254e~12, 0e0, )(60857086e~11, 45061978e~12, )(18467904e~9, 26308263e~10, )
aform(2): (178066663e~8, ~58836662e~8, ) -- (0e0, 11905608e~12, )(53287524e~13, 0e0, )(0e0, 20359870e~12, )(80973524e~12, 0e0, )(98206180e~13, 60688103e~11, )(61856816e~11, 54609533e~12, )(18590886e~9, 28715645e~10, )
aform(2): (181826336e~8, ~58218463e~8, ) -- (0e0, 13352961e~12, )(55467720e~13, 0e0, )(0e0, 22870733e~12, )(11381688e~11, 0e0, )(99562329e~13, 61391097e~11, )(61520593e~11, 69617705e~12, )(18707999e~9, 30851608e~10, )
aform(2): (185608610e~8, ~57562139e~8, ) -- (0e0, 14831690e~12, )(57504572e~13, 0e0, )(0e0, 64105779e~11, )(14122780e~11, 0e0, )(61832080e~11, 77550820e~12, )(18819241e~9, 32726119e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (173396089e~8, ~60237321e~8, ) -- (0e0, 10786008e~12, )(51917059e~13, 0e0, )(0e0, 19059885e~12, )(79384007e~12, 0e0, )(97070243e~13, 60145573e~11, )(60927495e~11, 53814575e~12, )(18509010e~9, 28561834e~10, )
aform(2): (177141244e~8, ~59618173e~8, ) -- (0e0, 12167447e~12, )(54147540e~13, 0e0, )(0e0, 62857934e~11, )(10611022e~11, 0e0, )(61942143e~11, 63344156e~12, )(18635754e~9, 30923516e~10, )
aform(2): (180910915e~8, ~58956623e~8, ) -- (0e0, 13611621e~12, )(56323391e~13, 0e0, )(0e0, 63924688e~11, )(13947848e~11, 0e0, )(61629371e~11, 77847718e~12, )(18756205e~9, 33005457e~10, )
aform(2): (184703776e~8, ~58258099e~8, ) -- (0e0, 15089066e~12, )(58360169e~13, 0e0, )(0e0, 26033758e~12, )(14721037e~11, 0e0, )(10016528e~12, 61656683e~11, )(61953253e~11, 85571047e~12, )(18870376e~9, 34818635e~10, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 4
aform(2): (172448512e~8, ~61053451e~8, ) -- (0e0, 11035869e~12, )(52763934e~13, 0e0, )(0e0, 62216559e~11, )(10414770e~11, 0e0, )(61011580e~11, 62494337e~12, )(18553638e~9, 30815697e~10, )
aform(2): (176203689e~8, ~60389925e~8, ) -- (0e0, 12416288e~12, )(54998140e~13, 0e0, )(0e0, 22098390e~12, )(11171531e~11, 0e0, )(98215522e~13, 60758182e~11, )(62041118e~11, 71992230e~12, )(18684072e~9, 33128974e~10, )
aform(2): (179984037e~8, ~59685048e~8, ) -- (0e0, 13857303e~12, )(57171401e~13, 0e0, )(0e0, 24645891e~12, )(14532372e~11, 0e0, )(99882325e~13, 61654486e~11, )(61751008e~11, 85995110e~12, )(18807776e~9, 35154271e~10, )
aform(2): (183788142e~8, ~58944401e~8, ) -- (0e0, 15328894e~12, )(59197746e~13, 0e0, )(0e0, 64727673e~11, )(17333953e~11, 0e0, )(62086958e~11, 93499228e~12, )(18924780e~9, 36903610e~10, )
=XS: 3 PS: 0 RS: 1 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 3
aform(2): (171488251e~8, ~61861023e~8, ) -- (0e0, 11273400e~12, )(53599709e~13, 0e0, )(0e0, 62373300e~11, )(11931840e~11, 0e0, )(61109228e~11, 71107775e~12, )(18601788e~9, 33070774e~10, )
aform(2): (175254144e~8, ~61153069e~8, ) -- (0e0, 12649744e~12, )(55831376e~13, 0e0, )(0e0, 63338490e~11, )(13707021e~11, 0e0, )(62153606e~11, 80561160e~12, )(18735836e~9, 35333068e~10, )
aform(2): (179045844e~8, ~60404868e~8, ) -- (0e0, 14086789e~12, )(58001735e~13, 0e0, )(0e0, 64600382e~11, )(17126502e~11, 0e0, )(61885375e~11, 94067186e~12, )(18862704e~9, 37299217e~10, )
=XS: 3 PS: 0 RS: 1 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 3
aform(2): (170515430e~8, ~62661155e~8, ) -- (0e0, 11496813e~12, )(54418016e~13, 0e0, )(0e0, 62641543e~11, )(13460048e~11, 0e0, )(61220334e~11, 79661637e~12, )(18653461e~9, 35328110e~10, )
aform(2): (174292732e~8, ~61908704e~8, ) -- (0e0, 12871245e~12, )(56654942e~13, 0e0, )(0e0, 23816280e~12, )(14285109e~11, 0e0, )(98966390e~13, 61288498e~11, )(62279483e~11, 89058514e~12, )(18791044e~9, 37536957e~10, )
aform(2): (178096463e~8, ~61117159e~8, ) -- (0e0, 14304370e~12, )(58824210e~13, 0e0, )(0e0, 34401200e~12, )(17875557e~11, 0e0, )(10093809e~12, 62373949e~11, )(61885375e~11, 94067186e~12, )(18920984e~9, 39441559e~10, )
=XS: 2 PS: 0 RS: 2 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 2
aform(2): (169530156e~8, ~63454925e~8, ) -- (0e0, 11707763e~12, )(55221875e~13, 0e0, )(0e0, 63017959e~11, )(15001025e~11, 0e0, )(61344805e~11, 88162872e~12, )(18708661e~9, 37588863e~10, )
aform(2): (173319565e~8, ~62657884e~8, ) -- (0e0, 13078343e~12, )(57460838e~13, 0e0, )(0e0, 64261409e~11, )(16856354e~11, 0e0, )(62418637e~11, 97491997e~12, )(18849695e~9, 39741903e~10, )
=XS: 2 PS: 0 RS: 2 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 2
aform(2): (168532521e~8, ~64243366e~8, ) -- (0e0, 11906741e~12, )(56011184e~13, 0e0, )(0e0, 23269516e~12, )(15571554e~11, 0e0, )(98465560e~13, 61172667e~11, )(61482559e~11, 96618604e~12, )(18767394e~9, 39854298e~10, )
aform(2): (172334733e~8, ~63401616e~8, ) -- (0e0, 13274521e~12, )(58256953e~13, 0e0, )(0e0, 25518809e~12, )(17451422e~11, 0e0, )(10040845e~12, 62249256e~11, )(62570968e~11, 10586942e~11, )(18911792e~9, 41949260e~10, )
=XS: 2 PS: 0 RS: 2 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 2
aform(2): (167522600e~8, ~65027476e~8, ) -- (0e0, 12094242e~12, )(56785865e~13, 0e0, )(0e0, 64217737e~11, )(18127178e~11, 0e0, )(61633526e~11, 10503611e~11, )(18829666e~9, 42125768e~10, )
aform(2): (171338316e~8, ~64140870e~8, ) -- (0e0, 13457293e~12, )(59035271e~13, 0e0, )(0e0, 65600302e~11, )(20071417e~11, 0e0, )(62736389e~11, 11419870e~11, )(18977338e~9, 44160463e~10, )
=XS: 1 PS: 0 RS: 3 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 1
aform(2): (166500454e~8, ~65808214e~8, ) -- (0e0, 12271923e~12, )(57548977e~13, 0e0, )(0e0, 24935239e~12, )(18713984e~11, 0e0, )(10034021e~12, 62405209e~11, )(61797645e~11, 11342279e~11, )(18895487e~9, 44404718e~10, )
=XS: 1 PS: 0 RS: 3 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 1
aform(2): (165466127e~8, ~66586507e~8, ) -- (0e0, 12437906e~12, )(58294126e~13, 0e0, )(0e0, 77995200e~11, )(83301000e~11, 0e0, )(18964870e~9, 46692666e~10, )
=XS: 1 PS: 0 RS: 3 Flowing towards: (0e0, 1e0, ) -- ~171875e~5
=XS above: 1
aform(2): (164419652e~8, ~67363251e~8, ) -- (0e0, 12595058e~12, )(59027604e~13, 0e0, )(0e0, 22592005e~12, )(60243866e~13, 0e0, )(12186750e~12, 75877260e~11, )(83301000e~11, 15665303e~12, )(19037827e~9, 48991207e~10, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 4
aform(2): (182861851e~8, ~59622149e~8, ) -- (0e0, 15556421e~12, )(60029328e~13, 0e0, )(0e0, 35658045e~12, )(18096048e~11, 0e0, )(10113698e~12, 62322829e~11, )(62086958e~11, 93499228e~12, )(18982442e~9, 38982320e~10, )
aform(2): (177136003e~8, ~61822947e~8, ) -- (0e0, 14506771e~12, )(59628758e~13, 0e0, )(0e0, 66543432e~11, )(20523876e~11, 0e0, )(62032355e~11, 10225564e~11, )(18982612e~9, 41582652e~10, )
aform(2): (170330376e~8, ~64876576e~8, ) -- (0e0, 13630163e~12, )(59803772e~13, 0e0, )(0e0, 27213113e~12, )(20682845e~11, 0e0, )(10250047e~12, 63616219e~11, )(62914824e~11, 12248781e~11, )(19046338e~9, 46377023e~10, )
aform(2): (163361046e~8, ~68139314e~8, ) -- (0e0, 12741494e~12, )(59743066e~13, 0e0, )(0e0, 46387175e~12, )(12477400e~12, 0e0, )(24042572e~12, 73880899e~11, )(83325477e~11, 31064732e~12, )(19114376e~9, 51302003e~10, )
ML_statistics = :now=1464100486.24tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=987size_allocation=2464153600size_allocation_free=1646081576size_heap=6254800896size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2464718872threads_in_ML=1threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1840.808time_GC=110.628user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 4
aform(2): (181925030e~8, ~60292395e~8, ) -- (0e0, 15767441e~12, )(60842563e~13, 0e0, )(0e0, 66609026e~11, )(20761582e~11, 0e0, )(62233051e~11, 10152740e~11, )(19043352e~9, 41056127e~10, )
aform(2): (176164558e~8, ~62523216e~8, ) -- (0e0, 14698891e~12, )(60426891e~13, 0e0, )(0e0, 28160655e~12, )(21142842e~11, 0e0, )(10397411e~12, 64320760e~11, )(62192129e~11, 11037633e~11, )(19047585e~9, 43723930e~10, )
aform(2): (169310961e~8, ~65609632e~8, ) -- (0e0, 13790625e~12, )(60554471e~13, 0e0, )(0e0, 68160140e~11, )(23555106e~11, 0e0, )(62914824e~11, 12248781e~11, )(19118802e~9, 48600521e~10, )
aform(2): (163361046e~8, ~68139314e~8, ) -- (0e0, 12741494e~12, )(59743066e~13, 0e0, )(0e0, 46387175e~12, )(12477400e~12, 0e0, )(24042572e~12, 73880899e~11, )(83325477e~11, 31064732e~12, )(19114376e~9, 51302003e~10, )
=XS: 4 PS: 1 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 4
aform(2): (180977786e~8, ~60956139e~8, ) -- (0e0, 15967916e~12, )(61651459e~13, 0e0, )(0e0, 29601131e~12, )(21394715e~11, 0e0, )(10407660e~12, 64205199e~11, )(62391687e~11, 10947123e~11, )(19107502e~9, 43126467e~10, )
aform(2): (175182208e~8, ~63218904e~8, ) -- (0e0, 14876263e~12, )(61205499e~13, 0e0, )(0e0, 79861881e~11, )(86223509e~11, 0e0, )(19115903e~9, 45866898e~10, )
aform(2): (168280106e~8, ~66340901e~8, ) -- (0e0, 13942184e~12, )(61295348e~13, 0e0, )(0e0, 28942023e~12, )(24182217e~11, 0e0, )(10650021e~12, 66172186e~11, )(63106211e~11, 13092505e~11, )(19194741e~9, 50832600e~10, )
aform(2): (162827193e~8, ~68527318e~8, ) -- (0e0, 26419909e~13, )(12889013e~13, 0e0, )(0e0, 65263285e~12, )(18914046e~12, 0e0, )(29814517e~12, 72940778e~11, )(83349747e~11, 38642477e~12, )(19154456e~9, 52464390e~10, )
=XS: 4 PS: 2 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 4
aform(2): (180020215e~8, ~61614335e~8, ) -- (0e0, 16152250e~12, )(62440160e~13, 0e0, )(0e0, 79769584e~11, )(86689212e~11, 0e0, )(19174887e~9, 45194845e~10, )
aform(2): (174189015e~8, ~63910913e~8, ) -- (0e0, 15043824e~12, )(61976243e~13, 0e0, )(0e0, 25360384e~12, )(63531432e~13, 0e0, )(12478418e~12, 77280245e~11, )(86223509e~11, 16368528e~12, )(19187570e~9, 48013124e~10, )
aform(2): (167237832e~8, ~67071219e~8, ) -- (0e0, 14082329e~12, )(62018487e~13, 0e0, )(0e0, 59357934e~12, )(24862214e~11, 0e0, )(20989426e~12, 64298708e~11, )(63310782e~11, 13933323e~11, )(19274167e~9, 53074959e~10, )
aform(2): (162290308e~8, ~68915467e~8, ) -- (0e0, 26597340e~13, )(12973376e~13, 0e0, )(0e0, 74245248e~12, )(20733475e~12, 0e0, )(35513015e~12, 72028490e~11, )(83379936e~11, 46163921e~12, )(19195443e~9, 53630622e~10, )
=XS: 4 PS: 3 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 4
aform(2): (179052395e~8, ~62267893e~8, ) -- (0e0, 16326450e~12, )(63222890e~13, 0e0, )(0e0, 26755106e~12, )(64968864e~13, 0e0, )(12463997e~12, 76976742e~11, )(86689212e~11, 16502986e~12, )(19245504e~9, 47262827e~10, )
aform(2): (173185032e~8, ~64600109e~8, ) -- (0e0, 15198248e~12, )(62729101e~13, 0e0, )(0e0, 52142175e~12, )(13182099e~12, 0e0, )(24553457e~12, 74847877e~11, )(86249084e~11, 32372409e~12, )(19262591e~9, 50164236e~10, )
aform(2): (166184148e~8, ~67801394e~8, ) -- (0e0, 14214546e~12, )(62731791e~13, 0e0, )(0e0, 86432599e~11, )(92229254e~11, 0e0, )(19357096e~9, 55329355e~10, )
aform(2): (161750389e~8, ~69303863e~8, ) -- (0e0, 26769546e~13, )(13056760e~13, 0e0, )(0e0, 83452801e~12, )(22632169e~12, 0e0, )(41140241e~12, 71143422e~11, )(83416002e~11, 53631670e~12, )(19237342e~9, 54800925e~10, )
=XS: 4 PS: 4 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 4
aform(2): (178074394e~8, ~62917683e~8, ) -- (0e0, 16486250e~12, )(63987317e~13, 0e0, )(0e0, 55053635e~12, )(13493197e~12, 0e0, )(24491613e~12, 74347430e~11, )(86714998e~11, 32592612e~12, )(19319352e~9, 49332027e~10, )
aform(2): (172170296e~8, ~65287322e~8, ) -- (0e0, 15343579e~12, )(63473424e~13, 0e0, )(0e0, 80365614e~12, )(20507513e~12, 0e0, )(36248438e~12, 72557171e~11, )(86299666e~11, 48038925e~12, )(19340973e~9, 52321914e~10, )
aform(2): (165119049e~8, ~68532209e~8, ) -- (0e0, 14339235e~12, )(63435036e~13, 0e0, )(0e0, 25884311e~12, )(64960506e~13, 0e0, )(13505093e~12, 84053384e~11, )(92229254e~11, 18064012e~12, )(19443548e~9, 57597592e~10, )
aform(2): (161207435e~8, ~69692605e~8, ) -- (0e0, 26936684e~13, )(13139168e~13, 0e0, )(0e0, 92887588e~12, )(24610912e~12, 0e0, )(46698321e~12, 70284977e~11, )(83457901e~11, 61048300e~12, )(19280156e~9, 55975528e~10, )
=XS: 4 PS: 5 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 4
aform(2): (177086262e~8, ~63564539e~8, ) -- (0e0, 16636601e~12, )(64745020e~13, 0e0, )(0e0, 84921273e~12, )(21010110e~12, 0e0, )(36108399e~12, 71872852e~11, )(86765924e~11, 48298932e~12, )(19396433e~9, 51404111e~10, )
aform(2): (171144831e~8, ~65973354e~8, ) -- (0e0, 15480232e~12, )(64209069e~13, 0e0, )(0e0, 11005335e~11, )(28350616e~12, 0e0, )(47585496e~12, 70400968e~11, )(86374727e~11, 63394419e~12, )(19422726e~9, 54487887e~10, )
aform(2): (164042521e~8, ~69264426e~8, ) -- (0e0, 14452494e~12, )(64116764e~13, 0e0, )(0e0, 53064793e~12, )(13468356e~12, 0e0, )(26638434e~12, 81812660e~11, )(92257479e~11, 35780398e~12, )(19533545e~9, 59881524e~10, )
aform(2): (160661442e~8, ~70081794e~8, ) -- (0e0, 27098908e~13, )(13220602e~13, 0e0, )(0e0, 10255080e~11, )(26672017e~12, 0e0, )(52189335e~12, 69452577e~11, )(83505595e~11, 68416357e~12, )(19323886e~9, 57154664e~10, )
=XS: 4 PS: 6 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 4
aform(2): (176088039e~8, ~64209259e~8, ) -- (0e0, 16777912e~12, )(65495870e~13, 0e0, )(0e0, 11638735e~11, )(29071719e~12, 0e0, )(47338532e~12, 69544743e~11, )(86841391e~11, 63650830e~12, )(19476752e~9, 53480785e~10, )
aform(2): (170108650e~8, ~66658980e~8, ) -- (0e0, 15608616e~12, )(64935893e~13, 0e0, )(0e0, 14122773e~11, )(36733080e~12, 0e0, )(58585647e~12, 68372528e~11, )(86473781e~11, 78464344e~12, )(19507863e~9, 56663926e~10, )
aform(2): (160112406e~8, ~70471526e~8, ) -- (0e0, 27256370e~13, )(13301065e~13, 0e0, )(0e0, 11244396e~11, )(28816644e~12, 0e0, )(57615317e~12, 68645658e~11, )(83559045e~11, 75738359e~12, )(19368538e~9, 58338570e~10, )
aform(2): (164042521e~8, ~69264426e~8, ) -- (0e0, 14452494e~12, )(64116764e~13, 0e0, )(0e0, 53064793e~12, )(13468356e~12, 0e0, )(26638434e~12, 81812660e~11, )(92257479e~11, 35780398e~12, )(19533545e~9, 59881524e~10, )
=XS: 4 PS: 7 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 4
aform(2): (175079753e~8, ~64852610e~8, ) -- (0e0, 16910587e~12, )(66239744e~13, 0e0, )(0e0, 14948063e~11, )(37702407e~12, 0e0, )(58204898e~12, 67355339e~11, )(86940846e~11, 78676082e~12, )(19560316e~9, 55563793e~10, )
aform(2): (169061754e~8, ~67344945e~8, ) -- (0e0, 15729138e~12, )(65653756e~13, 0e0, )(0e0, 17391062e~11, )(45677485e~12, 0e0, )(69268855e~12, 66465513e~11, )(86596381e~11, 93273306e~12, )(19596400e~9, 58851848e~10, )
aform(2): (163499961e~8, ~69631258e~8, ) -- (0e0, 30478068e~13, )(13951378e~13, 0e0, )(0e0, 74535597e~12, )(20408337e~12, 0e0, )(33030049e~12, 80758323e~11, )(92285432e~11, 44479126e~12, )(19580327e~9, 61032287e~10, )
aform(2): (159560323e~8, ~70861899e~8, ) -- (0e0, 27409221e~13, )(13380558e~13, 0e0, )(0e0, 12256833e~11, )(31046731e~12, 0e0, )(62978259e~12, 67863675e~11, )(83618216e~11, 83016794e~12, )(19414115e~9, 59527485e~10, )
=XS: 4 PS: 9 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 3
aform(2): (174061420e~8, ~65495331e~8, ) -- (0e0, 17035024e~12, )(66976533e~13, 0e0, )(0e0, 18422941e~11, )(46926908e~12, 0e0, )(68729170e~12, 65297350e~11, )(87063777e~11, 93401411e~12, )(19647134e~9, 57654916e~10, )
aform(2): (168004130e~8, ~68031976e~8, ) -- (0e0, 15842198e~12, )(66362510e~13, 0e0, )(0e0, 20812285e~11, )(55206418e~12, 0e0, )(79654091e~12, 64673964e~11, )(86742121e~11, 10784510e~11, )(19688356e~9, 61053505e~10, )
aform(2): (162954532e~8, ~69998717e~8, ) -- (0e0, 30615206e~13, )(14030765e~13, 0e0, )(0e0, 84831498e~12, )(22410126e~12, 0e0, )(39339293e~12, 79735596e~11, )(92320181e~11, 53104184e~12, )(19628008e~9, 62187823e~10, )
=XS: 3 PS: 10 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 3
aform(2): (173033043e~8, ~66138135e~8, ) -- (0e0, 17151612e~12, )(67706120e~13, 0e0, )(0e0, 85430076e~11, )(13570181e~11, 0e0, )(87209717e~11, 10785254e~11, )(19737220e~9, 59755966e~10, )
aform(2): (166935758e~8, ~68720775e~8, ) -- (0e0, 15948194e~12, )(67061989e~13, 0e0, )(0e0, 87380736e~11, )(15510166e~11, 0e0, )(86910629e~11, 12220278e~11, )(19783752e~9, 63270790e~10, )
aform(2): (162406229e~8, ~70366894e~8, ) -- (0e0, 30747956e~13, )(14109311e~13, 0e0, )(0e0, 95372458e~12, )(24500283e~12, 0e0, )(45568636e~12, 78743759e~11, )(92361669e~11, 61658941e~12, )(19676593e~9, 63348379e~10, )
=XS: 3 PS: 11 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 3
aform(2): (171994617e~8, ~66781708e~8, ) -- (0e0, 17260737e~12, )(68428390e~13, 0e0, )(0e0, 32856688e~12, )(14274043e~11, 0e0, )(13348449e~12, 82768337e~11, )(87378236e~11, 12205427e~11, )(19830589e~9, 61868787e~10, )
aform(2): (165856604e~8, ~69412027e~8, ) -- (0e0, 16047518e~12, )(67752025e~13, 0e0, )(0e0, 32336939e~12, )(16205715e~11, 0e0, )(13653240e~12, 84941237e~11, )(87101571e~11, 13636867e~11, )(19882613e~9, 65505629e~10, )
aform(2): (161855047e~8, ~70735876e~8, ) -- (0e0, 30876458e~13, )(14187015e~13, 0e0, )(0e0, 10616089e~11, )(26680701e~12, 0e0, )(51720492e~12, 77782113e~11, )(92409840e~11, 70146709e~12, )(19726084e~9, 64514200e~10, )
=XS: 3 PS: 12 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 3
aform(2): (170946123e~8, ~67426718e~8, ) -- (0e0, 17349311e~12, )(69108391e~13, 0e0, )(0e0, 67336315e~12, )(15036672e~11, 0e0, )(26281002e~12, 80262921e~11, )(87568946e~11, 13603049e~11, )(19927259e~9, 63995253e~10, )
aform(2): (164766625e~8, ~70106398e~8, ) -- (0e0, 16128584e~12, )(68401527e~13, 0e0, )(0e0, 66180504e~12, )(16958850e~11, 0e0, )(26925308e~12, 82645295e~11, )(87314647e~11, 15036442e~11, )(19984965e~9, 67759986e~10, )
aform(2): (161300979e~8, ~71105753e~8, ) -- (0e0, 31000854e~13, )(14263878e~13, 0e0, )(0e0, 11719814e~11, )(28953850e~12, 0e0, )(57797220e~12, 76849978e~11, )(92464642e~11, 78570751e~12, )(19776485e~9, 65685539e~10, )
=XS: 3 PS: 13 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 3
aform(2): (169887535e~8, ~68073810e~8, ) -- (0e0, 17431849e~12, )(69782470e~13, 0e0, )(0e0, 10344996e~11, )(15860158e~11, 0e0, )(38822083e~12, 77905802e~11, )(87781494e~11, 14980429e~11, )(20027251e~9, 66137262e~10, )
aform(2): (163665766e~8, ~70804539e~8, ) -- (0e0, 16204380e~12, )(69042812e~13, 0e0, )(0e0, 10153693e~11, )(17771552e~11, 0e0, )(39838635e~12, 80486035e~11, )(87549591e~11, 16421106e~11, )(20090840e~9, 70035856e~10, )
aform(2): (160744018e~8, ~71476610e~8, ) -- (0e0, 31121285e~13, )(14339899e~13, 0e0, )(0e0, 12848577e~11, )(31320961e~12, 0e0, )(63801124e~12, 75946696e~11, )(92526025e~11, 86934282e~12, )(19827802e~9, 66862648e~10, )
=XS: 3 PS: 14 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 3
aform(2): (168818815e~8, ~68723613e~8, ) -- (0e0, 17508680e~12, )(70450387e~13, 0e0, )(0e0, 14122306e~11, )(16746929e~11, 0e0, )(50994865e~12, 75689443e~11, )(88015563e~11, 16339796e~11, )(20130591e~9, 68296744e~10, )
aform(2): (160184154e~8, ~71848533e~8, ) -- (0e0, 31237889e~13, )(14415078e~13, 0e0, )(0e0, 14002586e~11, )(33783990e~12, 0e0, )(69734460e~12, 75071629e~11, )(92593943e~11, 95240466e~12, )(19880039e~9, 68045783e~10, )
aform(2): (163665766e~8, ~70804539e~8, ) -- (0e0, 16204380e~12, )(69042812e~13, 0e0, )(0e0, 10153693e~11, )(17771552e~11, 0e0, )(39838635e~12, 80486035e~11, )(87549591e~11, 16421106e~11, )(20090840e~9, 70035856e~10, )
=XS: 3 PS: 16 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 3
aform(2): (167739915e~8, ~69376737e~8, ) -- (0e0, 17580126e~12, )(71111886e~13, 0e0, )(0e0, 18067924e~11, )(17699464e~11, 0e0, )(62821340e~12, 73606776e~11, )(88270872e~11, 17683306e~11, )(20237305e~9, 70475655e~10, )
aform(2): (159621381e~8, ~72221609e~8, ) -- (0e0, 31350804e~13, )(14489413e~13, 0e0, )(0e0, 15181968e~11, )(36344749e~12, 0e0, )(75599431e~12, 74224158e~11, )(92668349e~11, 10349242e~11, )(19933199e~9, 69235201e~10, )
aform(2): (163111237e~8, ~71155191e~8, ) -- (0e0, 34675799e~13, )(15149751e~13, 0e0, )(0e0, 12808286e~11, )(18554005e~11, 0e0, )(46126607e~12, 79471516e~11, )(87677881e~11, 17107004e~11, )(20145556e~9, 71185563e~10, )
=XS: 3 PS: 18 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 2
aform(2): (166650779e~8, ~70033782e~8, ) -- (0e0, 17646510e~12, )(71766698e~13, 0e0, )(0e0, 22184184e~11, )(18720433e~11, 0e0, )(74322399e~12, 71651166e~11, )(88547174e~11, 19013048e~11, )(20347423e~9, 72675977e~10, )
aform(2): (162553964e~8, ~71507025e~8, ) -- (0e0, 34767956e~13, )(15223398e~13, 0e0, )(0e0, 14217939e~11, )(18808360e~11, 0e0, )(52335319e~12, 78488155e~11, )(87811529e~11, 17790107e~11, )(20201170e~9, 72341548e~10, )
=XS: 2 PS: 19 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 2
aform(2): (165551342e~8, ~70695331e~8, ) -- (0e0, 17708155e~12, )(72414544e~13, 0e0, )(0e0, 26473269e~11, )(19812346e~11, 0e0, )(85517894e~12, 69816392e~11, )(88844253e~11, 20331047e~11, )(20460979e~9, 74899720e~10, )
aform(2): (161993936e~8, ~71860117e~8, ) -- (0e0, 34856910e~13, )(15296366e~13, 0e0, )(0e0, 15657497e~11, )(19074418e~11, 0e0, )(58467206e~12, 77535232e~11, )(87950515e~11, 18470655e~11, )(20257687e~9, 73504069e~10, )
=XS: 2 PS: 20 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 2
aform(2): (164441528e~8, ~71361960e~8, ) -- (0e0, 17765380e~12, )(73055111e~13, 0e0, )(0e0, 30937291e~11, )(20977830e~11, 0e0, )(96426705e~12, 68096621e~11, )(89161925e~11, 21639273e~11, )(20578010e~9, 77148923e~10, )
aform(2): (161431146e~8, ~72214547e~8, ) -- (0e0, 34942784e~13, )(15368652e~13, 0e0, )(0e0, 17127099e~11, )(19352508e~11, 0e0, )(64524646e~12, 76612048e~11, )(88094817e~11, 19148890e~11, )(20315112e~9, 74673390e~10, )
=XS: 2 PS: 21 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 2
aform(2): (160865580e~8, ~72570389e~8, ) -- (0e0, 35025696e~13, )(15440250e~13, 0e0, )(0e0, 18626971e~11, )(19642731e~11, 0e0, )(70509963e~12, 75717928e~11, )(88244417e~11, 19825048e~11, )(20373450e~9, 75849776e~10, )
aform(2): (164441528e~8, ~71361960e~8, ) -- (0e0, 17765380e~12, )(73055111e~13, 0e0, )(0e0, 30937291e~11, )(20977830e~11, 0e0, )(96426705e~12, 68096621e~11, )(89161925e~11, 21639273e~11, )(20578010e~9, 77148923e~10, )
=XS: 2 PS: 22 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 2
aform(2): (163882704e~8, ~71697324e~8, ) -- (0e0, 38414639e~13, )(16134803e~13, 0e0, )(0e0, 10143753e~10, )(32138709e~11, 0e0, )(89330982e~11, 22289454e~11, )(20638282e~9, 78287289e~10, )
aform(2): (160297229e~8, ~72927720e~8, ) -- (0e0, 35105769e~13, )(15511155e~13, 0e0, )(0e0, 20157234e~11, )(19945433e~11, 0e0, )(76425426e~12, 74852216e~11, )(88399300e~11, 20499363e~11, )(20432708e~9, 77033492e~10, )
=XS: 2 PS: 24 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 2
aform(2): (163321253e~8, ~72034169e~8, ) -- (0e0, 38483935e~13, )(16207740e~13, 0e0, )(0e0, 15083816e~12, )(32303098e~11, 0e0, )(79248076e~13, 10010161e~10, )(89505118e~11, 22938059e~11, )(20699444e~9, 79432927e~10, )
aform(2): (159726080e~8, ~73286617e~8, ) -- (0e0, 35183118e~13, )(15581361e~13, 0e0, )(0e0, 21718090e~11, )(20260832e~11, 0e0, )(82273255e~12, 74014277e~11, )(88559452e~11, 21172067e~11, )(20492890e~9, 78224809e~10, )
=XS: 2 PS: 26 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 1
aform(2): (162757166e~8, ~72372564e~8, ) -- (0e0, 38531532e~13, )(16275255e~13, 0e0, )(0e0, 30494581e~12, )(32480020e~11, 0e0, )(15745245e~12, 98806020e~11, )(89684322e~11, 23585315e~11, )(20761501e~9, 80586102e~10, )
=XS: 1 PS: 27 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 1
aform(2): (162190428e~8, ~72712579e~8, ) -- (0e0, 38577101e~13, )(16342299e~13, 0e0, )(0e0, 46232976e~12, )(32669678e~11, 0e0, )(23464466e~12, 97549806e~11, )(89868582e~11, 24231446e~11, )(20824459e~9, 81747080e~10, )
=XS: 1 PS: 28 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 1
aform(2): (161621027e~8, ~73054282e~8, ) -- (0e0, 38620737e~13, )(16408864e~13, 0e0, )(0e0, 62300736e~12, )(32872256e~11, 0e0, )(31085544e~12, 96332040e~11, )(90057890e~11, 24876676e~11, )(20888324e~9, 82916129e~10, )
=XS: 1 PS: 29 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 1
aform(2): (161048949e~8, ~73397740e~8, ) -- (0e0, 38662531e~13, )(16474937e~13, 0e0, )(0e0, 78700155e~12, )(33088058e~11, 0e0, )(38611485e~12, 95151819e~11, )(90252239e~11, 25521224e~11, )(20953102e~9, 84093521e~10, )
=XS: 1 PS: 30 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 1
aform(2): (160474182e~8, ~73743022e~8, ) -- (0e0, 38702580e~13, )(16540509e~13, 0e0, )(0e0, 95433265e~12, )(33317325e~11, 0e0, )(46045221e~12, 94008271e~11, )(90451624e~11, 26165309e~11, )(21018800e~9, 85279527e~10, )
=XS: 1 PS: 31 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 1
aform(2): (159896709e~8, ~74090195e~8, ) -- (0e0, 38740979e~13, )(16605568e~13, 0e0, )(0e0, 11250231e~11, )(33560330e~11, 0e0, )(53389617e~12, 92900551e~11, )(90656040e~11, 26809145e~11, )(21085425e~9, 86474423e~10, )
=XS: 1 PS: 32 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 1
aform(2): (159316516e~8, ~74439326e~8, ) -- (0e0, 38777823e~13, )(16670103e~13, 0e0, )(0e0, 12990896e~11, )(33817379e~11, 0e0, )(60647473e~12, 91827840e~11, )(90865487e~11, 27452948e~11, )(21152983e~9, 87678486e~10, )
=XS: 1 PS: 33 RS: 0 Flowing towards: (1e0, 0e0, ) -- 161362033e~8
=XS above: 0
= Collecting: 33aforms ... = Collected to  2 aforms!
aform(2): (161362033e~8, ~73743951e~8, ) -- (0e0, 20715686e~9, )
aform(2): (161362033e~8, ~69600813e~8, ) -- (0e0, 20715686e~9, )
= Ys: 1 Rss: 0= Groups: 1
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (161362033e~8, ~73743951e~8, ) -- (0e0, 20715686e~9, )
aform(2): (161362033e~8, ~69600813e~8, ) -- (0e0, 20715686e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (160204496e~8, ~74421424e~8, ) -- (0e0, 20635328e~12, )(58040868e~13, 0e0, )(0e0, 15829536e~17, )(73649653e~17, 0e0, )(32368260e~11, 20196574e~9, )
aform(2): (160268446e~8, ~70379044e~8, ) -- (0e0, 19782575e~12, )(57575529e~13, 0e0, )(0e0, 20839505e~17, )(83814167e~17, 0e0, )(32368260e~11, 20196574e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (159036306e~8, ~75107368e~8, ) -- (0e0, 20025381e~12, )(56751720e~13, 0e0, )(0e0, 21601286e~12, )(61280709e~13, 0e0, )(63925408e~11, 19709218e~9, )
aform(2): (159162678e~8, ~71159750e~8, ) -- (0e0, 19206252e~12, )(56251330e~13, 0e0, )(0e0, 20715494e~12, )(60683182e~13, 0e0, )(63925408e~11, 19707921e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (157857329e~8, ~75802285e~8, ) -- (0e0, 19454857e~12, )(55557155e~13, 0e0, )(0e0, 43522109e~12, )(12453701e~12, 0e0, )(94721062e~11, 19252148e~9, )
aform(2): (158044687e~8, ~71943692e~8, ) -- (0e0, 18666373e~12, )(55023245e~13, 0e0, )(0e0, 41753989e~12, )(12317792e~12, 0e0, )(94719035e~11, 19248407e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (156667419e~8, ~76506677e~8, ) -- (0e0, 18921210e~12, )(54450618e~13, 0e0, )(0e0, 65768201e~12, )(18994244e~12, 0e0, )(12480254e~10, 18823983e~9, )
aform(2): (156914415e~8, ~72731619e~8, ) -- (0e0, 18160711e~12, )(53884912e~13, 0e0, )(0e0, 63120225e~12, )(18764548e~12, 0e0, )(12479467e~10, 18816786e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (155466424e~8, ~77221047e~8, ) -- ML_statistics = :now=1464100486.75tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=987size_allocation=2464153600size_allocation_free=1239855168size_heap=6254800896size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2464718872threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1841.576time_GC=110.628user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
(0e0, 18422081e~12, )(53425937e~13, 0e0, )(0e0, 88345558e~12, )(25762674e~12, 0e0, )(15421501e~10, 18423435e~9, )
aform(2): (155771795e~8, ~73524264e~8, ) -- (0e0, 17687189e~12, )(52830316e~13, 0e0, )(0e0, 84819984e~12, )(25423231e~12, 0e0, )(15419590e~10, 18411886e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (154254186e~8, ~77945900e~8, ) -- (0e0, 17955290e~12, )(52477308e~13, 0e0, )(0e0, 11125980e~11, )(32773708e~12, 0e0, )(18300163e~10, 18049294e~9, )
aform(2): (154616746e~8, ~74322348e~8, ) -- (0e0, 17243866e~12, )(51853767e~13, 0e0, )(0e0, 10685796e~11, )(32308020e~12, 0e0, )(18296447e~10, 18032601e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (153030535e~8, ~78681745e~8, ) -- (0e0, 17518820e~12, )(51599252e~13, 0e0, )(0e0, 13451533e~11, )(40040662e~12, 0e0, )(21120365e~10, 17700431e~9, )
aform(2): (153449180e~8, ~75126582e~8, ) -- (0e0, 16828940e~12, )(50949892e~13, 0e0, )(0e0, 12923860e~11, )(39432552e~12, 0e0, )(21114041e~10, 17677893e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (151795297e~8, ~79429093e~8, ) -- (0e0, 17110809e~12, )(50786596e~13, 0e0, )(0e0, 15811677e~11, )(47576803e~12, 0e0, )(23886058e~10, 17375790e~9, )
aform(2): (152268994e~8, ~75937669e~8, ) -- (0e0, 16440733e~12, )(50113592e~13, 0e0, )(0e0, 15196648e~11, )(46810507e~12, 0e0, )(23876212e~10, 17346784e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (150548288e~8, ~80188461e~8, ) -- (0e0, 16729539e~12, )(50034450e~13, 0e0, )(0e0, 18206798e~11, )(55393773e~12, 0e0, )(26601025e~10, 17074385e~9, )
aform(2): (151076075e~8, ~76756302e~8, ) -- (0e0, 16077685e~12, )(49340037e~13, 0e0, )(0e0, 17504516e~11, )(54454090e~12, 0e0, )(26586647e~10, 17038359e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (149289315e~8, ~80960371e~8, ) -- (0e0, 16373429e~12, )(49338184e~13, 0e0, )(0e0, 20637208e~11, )(63503587e~12, 0e0, )(29268898e~10, 16795295e~9, )
aform(2): (149870300e~8, ~77583172e~8, ) -- (0e0, 15738354e~12, )(48624645e~13, 0e0, )(0e0, 19847840e~11, )(62375066e~12, 0e0, )(29248890e~10, 16751755e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (148018179e~8, ~81745353e~8, ) -- (0e0, 16041026e~12, )(48693404e~13, 0e0, )(0e0, 23103176e~11, )(71918636e~12, 0e0, )(31893163e~10, 16537661e~9, )
aform(2): (148651536e~8, ~78418964e~8, ) -- (0e0, 15421404e~12, )(47963057e~13, 0e0, )(0e0, 22226880e~11, )(70585561e~12, 0e0, )(31866352e~10, 16486167e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (146734671e~8, ~82543943e~8, ) -- (0e0, 15730996e~12, )(48095939e~13, 0e0, )(0e0, 25604920e~11, )(80648761e~12, 0e0, )(34477172e~10, 16300682e~9, )
aform(2): (147419637e~8, ~79264358e~8, ) -- (0e0, 15125604e~12, )(47351128e~13, 0e0, )(0e0, 24641892e~11, )(79095858e~12, 0e0, )(34442316e~10, 16240838e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (145438574e~8, ~83356685e~8, ) -- (0e0, 15442119e~12, )(47541815e~13, 0e0, )(0e0, 28142587e~11, )(89705641e~12, 0e0, )(37024154e~10, 16083614e~9, )
aform(2): (146174449e~8, ~80120036e~8, ) -- (0e0, 14849819e~12, )(46784902e~13, 0e0, )(0e0, 27093017e~11, )(87918487e~12, 0e0, )(36979947e~10, 16015063e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (144129663e~8, ~84184132e~8, ) -- (0e0, 15173282e~12, )(47027239e~13, 0e0, )(0e0, 30716243e~11, )(99098681e~12, 0e0, )(39537219e~10, 15885764e~9, )
aform(2): (144915805e~8, ~80986677e~8, ) -- (0e0, 14593006e~12, )(46260606e~13, 0e0, )(0e0, 29580389e~11, )(97062807e~12, 0e0, )(39482301e~10, 15808181e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (142807704e~8, ~85026848e~8, ) -- (0e0, 14923474e~12, )(46548586e~13, 0e0, )(0e0, 33325865e~11, )(10883820e~11, 0e0, )(42019369e~10, 15706490e~9, )
aform(2): (143643528e~8, ~81864962e~8, ) -- (0e0, 14354216e~12, )(45774629e~13, 0e0, )(0e0, 32104071e~11, )(10653962e~11, 0e0, )(41952329e~10, 15619577e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (141472453e~8, ~85885405e~8, ) -- (0e0, 14691780e~12, )(46102378e~13, 0e0, )(0e0, 35971412e~11, )(11893389e~11, 0e0, )(44473509e~10, 15545194e~9, )
aform(2): (142357432e~8, ~82755573e~8, ) -- (0e0, 14132581e~12, )(45323504e~13, 0e0, )(0e0, 34664099e~11, )(11635817e~11, 0e0, )(44392888e~10, 15448677e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (140123659e~8, ~86760390e~8, ) -- (0e0, 14477374e~12, )(45685267e~13, 0e0, )(0e0, 38652808e~11, )(12939494e~11, 0e0, )(46902445e~10, 15401325e~9, )
aform(2): (141057318e~8, ~83659198e~8, ) -- (0e0, 13927316e~12, )(44903905e~13, 0e0, )(0e0, 37260343e~11, )(12652851e~11, 0e0, )(46806744e~10, 15294949e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (138761060e~8, ~87652399e~8, ) -- (0e0, 14279521e~12, )(45294037e~13, 0e0, )(0e0, 41369812e~11, )(14023011e~11, 0e0, )(49308902e~10, 15274375e~9, )
aform(2): (139742978e~8, ~84576525e~8, ) -- (0e0, 13737712e~12, )(44512620e~13, 0e0, )(0e0, 39892744e~11, )(13705903e~11, 0e0, )(49196579e~10, 15157898e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (137384386e~8, ~88562041e~8, ) -- (0e0, 14097567e~12, )(44925564e~13, 0e0, )(0e0, 44122199e~11, )(15144672e~11, 0e0, )(51695523e~10, 15163873e~9, )
aform(2): (138414191e~8, ~85508253e~8, ) -- (0e0, 13563139e~12, )(44146552e~13, 0e0, )(0e0, 42561046e~11, )(14795852e~11, 0e0, )(51565001e~10, 15037067e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (135993356e~8, ~89489939e~8, ) -- (0e0, 13930937e~12, )(44576824e~13, 0e0, )(0e0, 46909655e~11, )(16305418e~11, 0e0, )(54064879e~10, 15069387e~9, )
aform(2): (137070729e~8, ~86455081e~8, ) -- (0e0, 13403036e~12, )(43802696e~13, 0e0, )(0e0, 45265045e~11, )(15923615e~11, 0e0, )(53914543e~10, 14932033e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (134587679e~8, ~90436732e~8, ) -- (0e0, 13779135e~12, )(44244870e~13, 0e0, )(0e0, 49731815e~11, )(17505999e~11, 0e0, )(56419470e~10, 14990524e~9, )
aform(2): (135712348e~8, ~87417722e~8, ) -- (0e0, 13256913e~12, )(43478135e~13, 0e0, )(0e0, 48004446e~11, )(17089942e~11, 0e0, )(56247673e~10, 14842407e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (133167056e~8, ~91403070e~8, ) -- (0e0, 13641738e~12, )(43926826e~13, 0e0, )(0e0, 22259241e~12, )(17970059e~11, 0e0, )(77705962e~13, 49101321e~11, )(58761740e~10, 14926920e~9, )
aform(2): (134338797e~8, ~88396893e~8, ) -- (0e0, 13124347e~12, )(43170024e~13, 0e0, )(0e0, 49516054e~11, )(18295570e~11, 0e0, )(58566799e~10, 14767832e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (131731176e~8, ~92389623e~8, ) -- (0e0, 13511171e~12, )(43607457e~13, 0e0, )(0e0, 44898014e~12, )(18465503e~11, 0e0, )(15442677e~12, 48525419e~11, )(61094071e~10, 14878247e~9, )
aform(2): (132949812e~8, ~89393322e~8, ) -- (0e0, 12997855e~12, )(42862666e~13, 0e0, )(0e0, 21702201e~12, )(18747852e~11, 0e0, )(77368834e~13, 48893474e~11, )(60874273e~10, 14707981e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (130279718e~8, ~93397073e~8, ) -- (0e0, 13394854e~12, )(43297737e~13, 0e0, )(0e0, 54793442e~11, )(21295368e~11, 0e0, )(63418797e~10, 14844208e~9, )
aform(2): (131545117e~8, ~90407748e~8, ) -- (0e0, 12884419e~12, )(42567033e~13, 0e0, )(0e0, 43782374e~12, )(19230733e~11, 0e0, )(15376488e~12, 48323730e~11, )(63172395e~10, 14662556e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (128812349e~8, ~94426122e~8, ) -- (0e0, 13292550e~12, )(42994850e~13, 0e0, )(0e0, 23160245e~12, )(21749345e~11, 0e0, )(85614753e~13, 54196467e~11, )(65738205e~10, 14824533e~9, )
aform(2): (130124424e~8, ~91440921e~8, ) -- (0e0, 12784110e~12, )(42280953e~13, 0e0, )(0e0, 66240344e~12, )(19745002e~11, 0e0, )(22927071e~12, 47805347e~11, )(65463419e~10, 14631289e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (127328727e~8, ~95477488e~8, ) -- (0e0, 13203273e~12, )(42694747e~13, 0e0, )(0e0, 46706271e~12, )(22236304e~11, 0e0, )(17029673e~12, 53657355e~11, )(68054538e~10, 14818982e~9, )
aform(2): (128687436e~8, ~92493603e~8, ) -- (0e0, 12696737e~12, )(42001694e~13, 0e0, )(0e0, 56244603e~11, )(23331022e~11, 0e0, )(67749558e~10, 14613934e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (125828497e~8, ~96551906e~8, ) -- (0e0, 13127803e~12, )(42396064e~13, 0e0, )(0e0, 70637444e~12, )(22756951e~11, 0e0, )(25413635e~12, 53174581e~11, )(70370004e~10, 14827340e~9, )
aform(2): (127233841e~8, ~93566570e~8, ) -- (0e0, 12622174e~12, )(41726543e~13, 0e0, )(0e0, 22956047e~12, )(23770959e~11, 0e0, )(87882193e~13, 55668056e~11, )(70032985e~10, 14610274e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (124311293e~8, ~97650133e~8, ) -- (0e0, 13066102e~12, )(42096009e~13, 0e0, )(0e0, 94952586e~12, )(23311886e~11, 0e0, )(33722163e~12, 52746736e~11, )(72686776e~10, 14849418e~9, )
aform(2): (125763315e~8, ~94660609e~8, ) -- (0e0, 12559384e~12, )(41451353e~13, 0e0, )(0e0, 46308189e~12, )(24243894e~11, 0e0, )(17486353e~12, 55148739e~11, )(72315841e~10, 14620115e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (122776737e~8, ~98772941e~8, ) -- (0e0, 13018197e~12, )(41791780e~13, 0e0, )(0e0, 11965042e~11, )(23901660e~11, 0e0, )(41963840e~12, 52372525e~11, )(75006998e~10, 14885049e~9, )
aform(2): (124275525e~8, ~95776525e~8, ) -- (0e0, 12509411e~12, )(41175076e~13, 0e0, )(0e0, 70054696e~12, )(24750402e~11, 0e0, )(26103343e~12, 54685271e~11, )(74600234e~10, 14643286e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (121224439e~8, ~99921125e~8, ) -- (0e0, 12984183e~12, )(41480556e~13, 0e0, )(0e0, 14472998e~11, )(24526936e~11, 0e0, )(50147048e~12, 52050760e~11, )(77332787e~10, 14934091e~9, )
aform(2): (122770121e~8, ~96915138e~8, ) -- (0e0, 12472308e~12, )(40894993e~13, 0e0, )(0e0, 94194427e~12, )(25291224e~11, 0e0, )(34647917e~12, 54276376e~11, )(76888247e~10, 14679636e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (119653996e~8, ~101095497e~8, ) -- (0e0, 12964219e~12, )(41159491e~13, 0e0, )(0e0, 17018997e~11, )(25188188e~11, 0e0, )(58279979e~12, 51780355e~11, )(79666239e~10, 14996420e~9, )
aform(2): (121246742e~8, ~98077280e~8, ) -- (0e0, 12448189e~12, )(40608365e~13, 0e0, )(0e0, 11872578e~11, )(25866919e~11, 0e0, )(43128601e~12, 53920885e~11, )(79181941e~10, 14729038e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (118064992e~8, ~102296892e~8, ) -- (0e0, 12958530e~12, )(40825690e~13, 0e0, )(0e0, 19602794e~11, )(25886026e~11, 0e0, )(66370659e~12, 51560318e~11, )(82009429e~10, 15071935e~9, )
aform(2): (119705014e~8, ~99263805e~8, ) -- (0e0, 12437230e~12, )(40312425e~13, 0e0, )(0e0, 14364703e~11, )(26477974e~11, 0e0, )(51553739e~12, 53617720e~11, )(81483353e~10, 14791380e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (116456998e~8, ~103526164e~8, ) -- (0e0, 12967411e~12, )(40476216e~13, 0e0, )(0e0, 22224207e~11, )(26620881e~11, 0e0, )(74426959e~12, 51389750e~11, )(84364419e~10, 15160550e~9, )
aform(2): (118144549e~8, ~100475581e~8, ) -- (0e0, 12439668e~12, )(40004366e~13, 0e0, )(0e0, 16895656e~11, )(27125014e~11, 0e0, )(59931508e~12, 53365901e~11, )(83794506e~10, 14866574e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (114829572e~8, ~104784189e~8, ) -- (0e0, 12991219e~12, )(40108063e~13, 0e0, )(0e0, 24882885e~11, )(27393234e~11, 0e0, )(82456607e~12, 51267835e~11, )(86733255e~10, 15262199e~9, )
aform(2): (116564946e~8, ~101713494e~8, ) -- (0e0, 12455801e~12, )(39681329e~13, 0e0, )(0e0, 19465252e~11, )(27808522e~11, 0e0, )(68269930e~12, 53164532e~11, )(86117408e~10, 14954543e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (113182258e~8, ~106071863e~8, ) -- (0e0, 13030382e~12, )(39718154e~13, 0e0, )(0e0, 27578744e~11, )(28203475e~11, 0e0, )(90467207e~12, 51193837e~11, )(89117974e~10, 15376831e~9, )
aform(2): (114965789e~8, ~102978447e~8, ) -- (0e0, 12485994e~12, )(39340404e~13, 0e0, )(0e0, 22073258e~11, )(28529029e~11, 0e0, )(76576888e~12, 53012803e~11, )(88454056e~10, 15055231e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (111514585e~8, ~107390103e~8, ) -- (0e0, 13085398e~12, )(39303328e~13, 0e0, )(0e0, 30311421e~11, )(29051941e~11, 0e0, )(98466244e~12, 51167097e~11, )(91520604e~10, 15504409e~9, )
aform(2): (113346648e~8, ~104271365e~8, ) -- (0e0, 12530673e~12, )(38978603e~13, 0e0, )(0e0, 24719382e~11, )(29286922e~11, 0e0, )(84860139e~12, 52909979e~11, )(90806435e~10, 15168595e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (109826068e~8, ~108739850e~8, ) -- (0e0, 13156832e~12, )(38860325e~13, 0e0, )(0e0, 84267701e~11, )(40585163e~11, 0e0, )(93943168e~10, 15644910e~9, )
aform(2): (111707080e~8, ~105593187e~8, ) -- (0e0, 12590330e~12, )(38592862e~13, 0e0, )(0e0, 27403409e~11, )(30082615e~11, 0e0, )(93127323e~12, 52855400e~11, )(93176528e~10, 15294605e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (108116207e~8, ~110122062e~8, ) -- (0e0, 13245323e~12, )(38385783e~13, 0e0, )(0e0, 29298826e~12, )(40994391e~11, 0e0, )(13166828e~12, 83996232e~11, )(96387685e~10, 15798322e~9, )
aform(2): (110046625e~8, ~106944875e~8, ) -- (0e0, 12665523e~12, )(38180021e~13, 0e0, )(0e0, 30124969e~11, )(30916450e~11, 0e0, )(10138597e~11, 52848477e~11, )(95566310e~10, 15433244e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (106384488e~8, ~111537721e~8, ) -- (0e0, 13350543e~12, )(37875694e~13, 0e0, )(0e0, 59029613e~12, )(41444810e~11, 0e0, )(26291239e~12, 83802962e~11, )(98856173e~10, 15964642e~9, )
aform(2): (108364808e~8, ~108327405e~8, ) -- (0e0, 12756881e~12, )(37736820e~13, 0e0, )(0e0, 32883893e~11, )(31788767e~11, 0e0, )(10964355e~11, 52888681e~11, )(97977755e~10, 15584507e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (104630380e~8, ~112987827e~8, ) -- (0e0, 13474520e~12, )(37327185e~13, 0e0, )(0e0, 89186653e~12, )(41936709e~11, 0e0, )(39385452e~12, 83686835e~11, )(10135064e~9, 16143878e~9, )
aform(2): (106661141e~8, ~109741776e~8, ) -- (0e0, 12865098e~12, )(37259891e~13, 0e0, )(0e0, 35679849e~11, )(32699896e~11, 0e0, )(11790741e~11, 52975546e~11, )(10041283e~9, 15748396e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (102853336e~8, ~114473400e~8, ) -- (0e0, 13618109e~12, )(36736457e~13, 0e0, )(0e0, 11976605e~11, )(42470471e~11, 0e0, )(52461520e~12, 83646901e~11, )(10387312e~9, 16336043e~9, )
aform(2): (104935117e~8, ~111189004e~8, ) -- (0e0, 12990944e~12, )(36745733e~13, 0e0, )(0e0, 38512497e~11, )(33650141e~11, 0e0, )(12618483e~11, 53108658e~11, )(10287352e~9, 15924924e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (101052796e~8, ~115995481e~8, ) -- (0e0, 13782243e~12, )(36099561e~13, 0e0, )(0e0, 15076302e~11, )(43046264e~11, 0e0, )(65531348e~12, 83682306e~11, )(10642563e~9, 16541154e~9, )
aform(2): (103186215e~8, ~112670120e~8, ) -- (0e0, 13135259e~12, )(36190717e~13, 0e0, )(0e0, 94669285e~11, )(48087989e~11, 0e0, )(10536179e~9, 16114109e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (99228179e~8, ~117555126e~8, ) -- (0e0, 13967940e~12, )(35412379e~13, 0e0, )(0e0, 18217439e~11, )(43664399e~11, 0e0, )(78606709e~12, 83792279e~11, )(10901019e~9, 16759233e~9, )
aform(2): (101413898e~8, ~114186178e~8, ) -- (0e0, 13298961e~12, )(35591060e~13, 0e0, )(0e0, 31418999e~12, )(48470482e~11, 0e0, )(14792075e~12, 94573522e~11, )(10787962e~9, 16315974e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (97378891e~8, ~119153410e~8, ) -- (0e0, 14205405e~12, )(36834692e~13, 0e0, )(0e0, 21409023e~11, )(44325013e~11, 0e0, )(91699252e~12, 83976129e~11, )(11162882e~9, 16990300e~9, )
aform(2): (99617611e~8, ~115738243e~8, ) -- (0e0, 13482650e~12, )(34942763e~13, 0e0, )(0e0, 63280583e~12, )(48896296e~11, 0e0, )(29569188e~12, 94561857e~11, )(11042899e~9, 16530543e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (95504319e~8, ~120791422e~8, ) -- (0e0, 14470064e~12, )(38419215e~13, 0e0, )(0e0, 24672116e~11, )(45050094e~11, 0e0, )(10482052e~11, 84233229e~11, )(11428355e~9, 17234374e~9, )
aform(2): (97796783e~8, ~117327400e~8, ) -- (0e0, 13710039e~12, )(35881695e~13, 0e0, )(0e0, 95596514e~12, )(49365700e~11, 0e0, )(44344478e~12, 94633470e~11, )(11301188e~9, 16757844e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (93603834e~8, ~122470265e~8, ) -- (0e0, 14761304e~12, )(40014354e~13, 0e0, )(0e0, 28014433e~11, )(45842401e~11, 0e0, )(11798196e~11, 84563007e~11, )(11697642e~9, 17491470e~9, )
aform(2): (95950826e~8, ~118954745e~8, ) -- (0e0, 13969721e~12, )(37446663e~13, 0e0, )(0e0, 12849953e~11, )(49895320e~11, 0e0, )(59130958e~12, 94787626e~11, )(11563030e~9, 16997901e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (91676789e~8, ~124191053e~8, ) -- (0e0, 15080560e~12, )(41618542e~13, 0e0, )(0e0, 31443723e~11, )(46703379e~11, 0e0, )(13119493e~11, 84964938e~11, )(11970946e~9, 17761595e~9, )
aform(2): (94079134e~8, ~120621389e~8, ) -- (0e0, 14254828e~12, )(39022451e~13, 0e0, )(0e0, 16207241e~11, )(50492418e~11, 0e0, )(73941525e~12, 95023656e~11, )(11828622e~9, 17250733e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (89722520e~8, ~125954907e~8, ) -- (0e0, 15429348e~12, )(43229777e~13, 0e0, )(0e0, 34967924e~11, )(47634465e~11, 0e0, )(14447070e~11, 85438528e~11, )(12248471e~9, 18044745e~9, )
aform(2): (92181086e~8, ~122328452e~8, ) -- (0e0, 14566753e~12, )(40607670e~13, 0e0, )(0e0, 19639092e~11, )(51158199e~11, 0e0, )(88788971e~12, 95340951e~11, )(12098165e~9, 17516356e~9, )
ML_statistics = :now=1464100487.25tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=987size_allocation=2464153600size_allocation_free=820927344size_heap=6254800896size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2464718872threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1842.344time_GC=110.628user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (87740345e~8, ~127762955e~8, ) -- (0e0, 15809274e~12, )(44845582e~13, 0e0, )(0e0, 38595101e~11, )(48637248e~11, 0e0, )(15782047e~11, 85983303e~11, )(12530421e~9, 18340901e~9, )
aform(2): (90256039e~8, ~124077062e~8, ) -- (0e0, 14906970e~12, )(42200516e~13, 0e0, )(0e0, 23153409e~11, )(51893942e~11, 0e0, )(10368599e~11, 95738948e~11, )(12371858e~9, 17794771e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (85729566e~8, ~129616328e~8, ) -- (0e0, 16222027e~12, )(46462945e~13, 0e0, )(0e0, 42333488e~11, )(49713495e~11, 0e0, )(17125536e~11, 86598793e~11, )(12816997e~9, 18650027e~9, )
aform(2): (88303337e~8, ~125868356e~8, ) -- (0e0, 15277041e~12, )(43798743e~13, 0e0, )(0e0, 26758057e~11, )(52701018e~11, 0e0, )(11864520e~11, 96217119e~11, )(12649901e~9, 18085971e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (83689464e~8, ~131516155e~8, ) -- (0e0, 16669384e~12, )(48078274e~13, 0e0, )(0e0, 46191644e~11, )(50864950e~11, 0e0, )(18478642e~11, 87284521e~11, )(13108404e~9, 18972066e~9, )
aform(2): (86322304e~8, ~127703470e~8, ) -- (0e0, 15678607e~12, )(45399603e~13, 0e0, )(0e0, 30461222e~11, )(53581005e~11, 0e0, )(13367913e~11, 96774952e~11, )(12932494e~9, 18389928e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (81619306e~8, ~133463557e~8, ) -- (0e0, 17153204e~12, )(49687330e~13, 0e0, )(0e0, 50178072e~11, )(52093533e~11, 0e0, )(19842463e~11, 88039983e~11, )(13404842e~9, 19306930e~9, )
aform(2): (84312245e~8, ~129583541e~8, ) -- (0e0, 16113398e~12, )(46999801e~13, 0e0, )(0e0, 34271215e~11, )(54535484e~11, 0e0, )(14880021e~11, 97411944e~11, )(13219837e~9, 18706597e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (79518339e~8, ~135459647e~8, ) -- (0e0, 17675429e~12, )(51285156e~13, 0e0, )(0e0, 54301631e~11, )(53401274e~11, 0e0, )(21218088e~11, 88864630e~11, )(13706513e~9, 19654504e~9, )
aform(2): (82272450e~8, ~131509701e~8, ) -- (0e0, 16583223e~12, )(48595434e~13, 0e0, )(0e0, 38196435e~11, )(55566161e~11, 0e0, )(16402083e~11, 98127575e~11, )(13512128e~9, 19035904e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (77385794e~8, ~137505517e~8, ) -- (0e0, 18238080e~12, )(52866021e~13, 0e0, )(0e0, 58571245e~11, )(54790252e~11, 0e0, )(22606598e~11, 89757852e~11, )(14013615e~9, 20014631e~9, )
aform(2): (80202189e~8, ~133483074e~8, ) -- (0e0, 17089975e~12, )(50181925e~13, 0e0, )(0e0, 42245632e~11, )(56674887e~11, 0e0, )(17935326e~11, 98921297e~11, )(13809564e~9, 19377749e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (75220884e~8, ~139602240e~8, ) -- (0e0, 18843254e~12, )(54423321e~13, 0e0, )(0e0, 62996075e~11, )(56262615e~11, 0e0, )(24009064e~11, 90718953e~11, )(14326343e~9, 20387113e~9, )
aform(2): (78100717e~8, ~135504766e~8, ) -- (0e0, 17635624e~12, )(51753963e~13, 0e0, )(0e0, 46427509e~11, )(57863509e~11, 0e0, )(19480971e~11, 99792511e~11, )(14112341e~9, 19731994e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (73022808e~8, ~141750855e~8, ) -- (0e0, 19493119e~12, )(55949512e~13, 0e0, )(0e0, 67585308e~11, )(57820627e~11, 0e0, )(25426548e~11, 91747129e~11, )(14644892e~9, 20771700e~9, )
aform(2): (75967270e~8, ~137575865e~8, ) -- (0e0, 18222218e~12, )(53305424e~13, 0e0, )(0e0, 50751130e~11, )(59134045e~11, 0e0, )(21040229e~11, 10074054e~10, )(14420653e~9, 20098462e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (70790746e~8, ~143952361e~8, ) -- (0e0, 20189909e~12, )(57436010e~13, 0e0, )(0e0, 72348287e~11, )(59466640e~11, 0e0, )(26860097e~11, 92841446e~11, )(14969450e~9, 21168085e~9, )
aform(2): (73801067e~8, ~139697429e~8, ) -- (0e0, 18851877e~12, )(54829292e~13, 0e0, )(0e0, 55225508e~11, )(60488591e~11, 0e0, )(22614301e~11, 10176464e~10, )(14734692e~9, 20476927e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (68523864e~8, ~146207711e~8, ) -- (0e0, 20935911e~12, )(58873097e~13, 0e0, )(0e0, 77294330e~11, )(61203019e~11, 0e0, )(28310744e~11, 94000805e~11, )(15300201e~9, 21575894e~9, )
aform(2): (71601313e~8, ~141870483e~8, ) -- (0e0, 19526785e~12, )(56317574e~13, 0e0, )(0e0, 59859863e~11, )(61929283e~11, 0e0, )(24204373e~11, 10286391e~10, )(15054644e~9, 20867109e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (66221315e~8, ~148517798e~8, ) -- (0e0, 21733463e~12, )(60249820e~13, 0e0, )(0e0, 51386357e~12, )(63032221e~11, 0e0, )(0e0, 77294330e~11, )(29779507e~11, 95223918e~11, )(15637324e~9, 21994681e~9, )
aform(2): (69367194e~8, ~144096005e~8, ) -- (0e0, 20249189e~12, )(57761206e~13, 0e0, )(0e0, 64663507e~11, )(63458300e~11, 0e0, )(25811622e~11, 10403731e~10, )(15380692e~9, 21268668e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (63882237e~8, ~150883444e~8, ) -- (0e0, 22584938e~12, )(61553880e~13, 0e0, )(0e0, 10479141e~11, )(64956712e~11, 0e0, )(0e0, 77294330e~11, )(31267380e~11, 96509274e~11, )(15980991e~9, 22423914e~9, )
aform(2): (67097884e~8, ~146374923e~8, ) -- (0e0, 21021385e~12, )(59149956e~13, 0e0, )(0e0, 69645701e~11, )(65077956e~11, 0e0, )(27437205e~11, 10528364e~10, )(15713015e~9, 21681192e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (61505755e~8, ~153305388e~8, ) -- (0e0, 23492733e~12, )(62771520e~13, 0e0, )(0e0, 94671132e~11, )(68486987e~11, 0e0, )(31267380e~11, 96509274e~11, )(16331365e~9, 22862965e~9, )
aform(2): (64792542e~8, ~148708097e~8, ) -- (0e0, 21845711e~12, )(60472326e~13, 0e0, )(0e0, 74815886e~11, )(66790531e~11, 0e0, )(29082262e~11, 10660147e~10, )(16051784e~9, 22104191e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (59090985e~8, ~155784271e~8, ) -- (0e0, 24459252e~12, )(63887403e~13, 0e0, )(0e0, 71764096e~12, )(72138623e~11, 0e0, )(0e0, 94671132e~11, )(31267380e~11, 96509274e~11, )(16688599e~9, 23311103e~9, )
aform(2): (62450313e~8, ~151096314e~8, ) -- (0e0, 22724536e~12, )(61715432e~13, 0e0, )(0e0, 80183233e~11, )(68598418e~11, 0e0, )(30747910e~11, 10798912e~10, )(16397162e~9, 22537086e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (56637034e~8, ~158320622e~8, ) -- (0e0, 25486889e~12, )(64884491e~13, 0e0, )(0e0, 14638202e~11, )(75915086e~11, 0e0, )(0e0, 94671132e~11, )(31267380e~11, 96509274e~11, )(17052835e~9, 23767479e~9, )
aform(2): (60070333e~8, ~153540269e~8, ) -- (0e0, 23660241e~12, )(62864899e~13, 0e0, )(0e0, 55737807e~12, )(70503951e~11, 0e0, )(0e0, 80183233e~11, )(32435240e~11, 10944463e~10, )(16749304e~9, 22979197e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (54142999e~8, ~160914839e~8, ) -- (0e0, 26578009e~12, )(65743917e~13, 0e0, )(0e0, 22391096e~11, )(79819678e~11, 0e0, )(0e0, 94671132e~11, )(31267380e~11, 96509274e~11, )(17424202e~9, 24231113e~9, )
aform(2): (57651726e~8, ~156040554e~8, ) -- (0e0, 24655210e~12, )(63904733e~13, 0e0, )(0e0, 11362993e~11, )(72509539e~11, 0e0, )(0e0, 80183233e~11, )(34145312e~11, 11096570e~10, )(17108354e~9, 23429736e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (51607976e~8, ~163567168e~8, ) -- (0e0, 27734922e~12, )(66444864e~13, 0e0, )(0e0, 30440036e~11, )(83855724e~11, 0e0, )(0e0, 94671132e~11, )(31267380e~11, 96509274e~11, )(17802813e~9, 24700879e~9, )
aform(2): (55193608e~8, ~158597640e~8, ) -- (0e0, 25711805e~12, )(64817211e~13, 0e0, )(0e0, 97559695e~11, )(74617528e~11, 0e0, )(35879151e~11, 11254965e~10, )(17474443e~9, 23887789e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (49031055e~8, ~166277689e~8, ) -- (0e0, 28959859e~12, )(66964426e~13, 0e0, )(0e0, 38788973e~11, )(88026346e~11, 0e0, )(0e0, 94671132e~11, )(31267380e~11, 96509274e~11, )(18188764e~9, 25175493e~9, )
aform(2): (52695089e~8, ~161211861e~8, ) -- (0e0, 26832351e~12, )(65582747e~13, 0e0, )(0e0, 62459979e~12, )(76830280e~11, 0e0, )(0e0, 97559695e~11, )(37637740e~11, 11419337e~10, )(17847690e~9, 24352306e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (46411329e~8, ~169046286e~8, ) -- (0e0, 30254944e~12, )(67277502e~13, 0e0, )(0e0, 47440579e~11, )(43081802e~12, 0e0, )(88026346e~11, 0e0, )(0e0, 94671132e~11, )(31267380e~11, 96509274e~11, )(18582131e~9, 25653496e~9, )
aform(2): (50155275e~8, ~163883392e~8, ) -- (0e0, 28019104e~12, )(66179770e~13, 0e0, )(0e0, 12732576e~11, )(79150020e~11, 0e0, )(0e0, 97559695e~11, )(39422011e~11, 11589327e~10, )(18228195e~9, 24822087e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (43747892e~8, ~171872627e~8, ) -- (0e0, 31622159e~12, )(67356664e~13, 0e0, )(0e0, 56396171e~11, )(96783045e~11, 0e0, )(0e0, 94671132e~11, )(31267380e~11, 96509274e~11, )(18982967e~9, 26133236e~9, )
aform(2): (47573271e~8, ~166612230e~8, ) -- (0e0, 29274231e~12, )(66584604e~13, 0e0, )(0e0, 19467158e~11, )(81578934e~11, 0e0, )(0e0, 97559695e~11, )(41232844e~11, 11764522e~10, )(18616040e~9, 25295767e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (41039847e~8, ~174756134e~8, ) -- (0e0, 33063312e~12, )(67172062e~13, 0e0, )(0e0, 65655279e~11, )(45913720e~12, 0e0, )(96783045e~11, 0e0, )(0e0, 94671132e~11, )(31267380e~11, 96509274e~11, )(19391299e~9, 26612854e~9, )
aform(2): (44948182e~8, ~169398171e~8, ) -- (0e0, 30599779e~12, )(66771349e~13, 0e0, )(0e0, 26456367e~11, )(84119072e~11, 0e0, )(0e0, 97559695e~11, )(43071050e~11, 11944446e~10, )(19011286e~9, 25771798e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (38286306e~8, ~177695956e~8, ) -- (0e0, 34579997e~12, )(66691320e~13, 0e0, )(0e0, 75215510e~11, )(93278253e~12, 0e0, )(96783045e~11, 0e0, )(0e0, 94671132e~11, )(31267380e~11, 96509274e~11, )(19807125e~9, 27090260e~9, )
aform(2): (42279119e~8, ~172240780e~8, ) -- (0e0, 31997639e~12, )(66711771e~13, 0e0, )(0e0, 33705978e~11, )(86772350e~11, 0e0, )(0e0, 97559695e~11, )(44937370e~11, 12128557e~10, )(19413971e~9, 26248433e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (35486400e~8, ~180690940e~8, ) -- (0e0, 36173550e~12, )(65879468e~13, 0e0, )(0e0, 17974349e~10, )(14211218e~11, 0e0, )(96783045e~11, 0e0, )(31267380e~11, 96509274e~11, )(20230410e~9, 27563119e~9, )
aform(2): (39565204e~8, ~175139373e~8, ) -- (0e0, 33469512e~12, )(66375203e~13, 0e0, )(0e0, 41220886e~11, )(89540509e~11, 0e0, )(0e0, 97559695e~11, )(46832457e~11, 12316240e~10, )(19824103e~9, 26723710e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (32639279e~8, ~183739591e~8, ) -- (0e0, 37845011e~12, )(64698903e~13, 0e0, )(0e0, 10420085e~10, )(47701893e~11, 0e0, )(28084921e~12, 18219831e~10, )(96783045e~11, 0e0, )(20661084e~9, 28028830e~9, )
aform(2): (36805568e~8, ~178092976e~8, ) -- (0e0, 35016872e~12, )(65728467e~13, 0e0, )(0e0, 49004611e~11, )(92425008e~11, 0e0, )(0e0, 97559695e~11, )(48756870e~11, 12506793e~10, )(20241660e~9, 27195432e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (29744117e~8, ~186840045e~8, ) -- (0e0, 39595071e~12, )(63109366e~13, 0e0, )(0e0, 78738361e~12, )(14681921e~10, 0e0, )(0e0, 10420085e~10, )(56553408e~12, 18475063e~10, )(21099034e~9, 28484505e~9, )
aform(2): (33999362e~8, ~181100306e~8, ) -- (0e0, 36640920e~12, )(64735814e~13, 0e0, )(0e0, 57059294e~11, )(95427079e~11, 0e0, )(0e0, 97559695e~11, )(50711056e~11, 12699430e~10, )(20666589e~9, 27661148e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (26800124e~8, ~189990023e~8, ) -- (0e0, 41424025e~12, )(61067971e~13, 0e0, )(0e0, 14441439e~11, )(81599396e~13, 0e0, )(14681921e~10, 0e0, )(16281384e~12, 10568495e~10, )(85420695e~12, 18739182e~10, )(21544105e~9, 28926950e~9, )
aform(2): (31145760e~8, ~184159724e~8, ) -- (0e0, 38342540e~12, )(63358887e~13, 0e0, )(0e0, 65385479e~11, )(98547617e~11, 0e0, )(0e0, 97559695e~11, )(52695342e~11, 12893261e~10, )(21098795e~9, 28118134e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (23806547e~8, ~193186798e~8, ) -- (0e0, 43344165e~12, )(61529765e~13, 0e0, )(0e0, 21131290e~11, )(17170506e~12, 0e0, )(14681921e~10, 0e0, )(32794658e~12, 10721814e~10, )(11470066e~11, 19011196e~10, )(21996088e~9, 29352648e~9, )
aform(2): (28243963e~8, ~187269210e~8, ) -- (0e0, 40122255e~12, )(61556737e~13, 0e0, )(0e0, 17154154e~10, )(10178715e~10, 0e0, )(54709914e~11, 13087292e~10, )(21538140e~9, 28563374e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (20762679e~8, ~196427148e~8, ) -- (0e0, 45367045e~12, )(68294827e~13, 0e0, )(0e0, 28315452e~11, )(27302582e~12, 0e0, )(14681921e~10, 0e0, )(49547492e~12, 10879436e~10, )(14440566e~11, 19289974e~10, )(22454723e~9, 29757734e~9, )
aform(2): (25293209e~8, ~190426320e~8, ) -- (0e0, 42065317e~12, )(59285873e~13, 0e0, )(0e0, 63966931e~12, )(67826444e~13, 0e0, )(26803366e~12, 17400806e~10, )(10178715e~10, 0e0, )(56754804e~11, 13280413e~10, )(21984443e~9, 28993541e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (17667869e~8, ~199707314e~8, ) -- (0e0, 47465325e~12, )(75423599e~13, 0e0, )(0e0, 36115174e~11, )(39265268e~12, 0e0, )(14681921e~10, 0e0, )(66546613e~12, 11040672e~10, )(17454624e~11, 19574228e~10, )(22919688e~9, 30137981e~9, )
aform(2): (22292775e~8, ~193628146e~8, ) -- (0e0, 43949455e~12, )(64894583e~13, 0e0, )(0e0, 13104270e~11, )(10322396e~10, 0e0, )(53992126e~12, 17655146e~10, )(58829868e~11, 13471390e~10, )(22437467e~9, 29404976e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (14521529e~8, ~20302296e~7, ) -- (0e0, 49635960e~12, )(82928428e~13, 0e0, )(0e0, 44566986e~11, )(53192290e~12, 0e0, )(14681921e~10, 0e0, )(83797664e~12, 11204738e~10, )(20513097e~11, 19862501e~10, )(23390594e~9, 30488786e~9, )
aform(2): (19241989e~8, ~196871275e~8, ) -- (0e0, 45998090e~12, )(71778120e~13, 0e0, )(0e0, 20319924e~11, )(10414634e~10, 0e0, )(81578293e~12, 17916145e~10, )(60934773e~11, 13658854e~10, )(22896920e~9, 29793671e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (11323143e~8, ~20636911e~7, ) -- (0e0, 51874722e~12, )(90820065e~13, 0e0, )(0e0, 53708820e~11, )(69224345e~12, 0e0, )(14681921e~10, 0e0, )(10130506e~11, 11370747e~10, )(23616613e~11, 20153155e~10, )(23866981e~9, 30805150e~9, )
aform(2): (16140238e~8, ~20015175e~7, ) -- (0e0, 48120035e~12, )(79026254e~13, 0e0, )(0e0, 28082322e~11, )(10525349e~10, 0e0, )(10957227e~11, 18182631e~10, )(63068969e~11, 13841296e~10, )(23362446e~9, 30155253e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (80722793e~9, ~20974011e~7, ) -- (0e0, 54176330e~12, )(99108531e~13, 0e0, )(0e0, 63580696e~11, )(87508975e~12, 0e0, )(14681921e~10, 0e0, )(11907186e~11, 11537706e~10, )(26765544e~11, 20444355e~10, )(24348312e~9, 31081673e~9, )
aform(2): (12986972e~8, ~20346499e~7, ) -- (0e0, 50311729e~12, )(86649691e~13, 0e0, )(0e0, 36422454e~11, )(10655774e~10, 0e0, )(13798263e~11, 18453274e~10, )(65231671e~11, 14017057e~10, )(23833622e~9, 30484967e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (47685981e~9, ~21312961e~7, ) -- (0e0, 56534368e~12, )(10780295e~12, 0e0, )(0e0, 74224083e~11, )(10820084e~11, 0e0, )(14681921e~10, 0e0, )(13709952e~11, 11704502e~10, )(29959974e~11, 20734057e~10, )(24833963e~9, 31312541e~9, )
aform(2): (97817211e~9, ~20680582e~7, ) -- (0e0, 52568643e~12, )(94658483e~13, 0e0, )(0e0, 45372801e~11, )(10807196e~10, 0e0, )(16681587e~11, 18726578e~10, )(67421837e~11, 14184320e~10, )(24309949e~9, 30777666e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (14118667e~9, ~21653046e~7, ) -- (0e0, 58941193e~12, )(11691141e~12, 0e0, )(0e0, 83854583e~11, )(13146202e~11, 0e0, )(14681921e~10, ~18277481e~12, )(15538781e~11, 11869902e~10, )(33199671e~11, 21019993e~10, )(25323221e~9, 31491529e~9, )
aform(2): (65240993e~9, ~21016835e~7, ) -- (0e0, 54885203e~12, )(10306187e~12, 0e0, )(0e0, 54967178e~11, )(10980964e~10, 0e0, )(19607615e~11, 19000861e~10, )(69638137e~11, 14341105e~10, )(24790851e~9, 31027801e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (~19980301e~9, ~21993470e~7, ) -- (0e0, 61787409e~12, )(12648047e~12, 0e0, )(0e0, 93990136e~11, )(15717644e~11, 0e0, )(14679065e~10, ~40100875e~12, )(17393453e~11, 12032537e~10, )(36484045e~11, 21299662e~10, )(25815276e~9, 31612003e~9, )
aform(2): (32138196e~9, ~21354595e~7, ) -- (0e0, 57254701e~12, )(11186815e~12, 0e0, )(0e0, 65240703e~11, )(11178488e~10, 0e0, )(22576499e~11, 19274251e~10, )(71878934e~11, 14485260e~10, )(25275660e~9, 31229415e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (~54610764e~9, ~22333352e~7, ) -- (0e0, 68493748e~12, )(13685352e~12, 0e0, )(0e0, 10482182e~10, )(18547592e~11, 0e0, )(14672799e~10, ~65679026e~12, )(19273537e~11, 12190905e~10, )(39812117e~11, 21570320e~10, )(26309214e~9, 31666930e~9, )
aform(2): (~14929565e~10, ~21693123e~7, ) -- (0e0, 59669222e~12, )(12108451e~12, 0e0, )(0e0, 76229884e~11, )(22275322e~12, 0e0, )(11178488e~10, 0e0, )(25588101e~11, 19544666e~10, )(74142256e~11, 14614463e~10, )(25763620e~9, 31376147e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (~89771118e~9, ~22671722e~7, ) -- (0e0, 75523270e~12, )(14768770e~12, 0e0, )(0e0, 11686859e~10, )(21660996e~11, 0e0, )(14662537e~10, ~95220810e~12, )(21178366e~11, 12343359e~10, )(43182480e~11, 21828971e~10, )(26804010e~9, 31648894e~9, )
aform(2): (~35653024e~9, ~22031598e~7, ) -- (0e0, 64389206e~12, )(13094357e~12, 0e0, )(0e0, 87982199e~11, )(11650759e~10, 0e0, )(28641955e~11, 19809810e~10, )(76425766e~11, 14726216e~10, )(26253872e~9, 31461234e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (~12545817e~8, ~23007514e~7, ) -- (0e0, 82843298e~12, )(15898415e~12, 0e0, )(0e0, 11533343e~11, )(23255893e~11, 0e0, )(18260718e~12, 11867995e~10, )(14647659e~10, ~12893254e~11, )(23107016e~11, 12488109e~10, )(46593257e~11, 22072362e~10, )(27298524e~9, 31550131e~9, )
aform(2): (~70341211e~9, ~22369109e~7, ) -- (0e0, 71165618e~12, )(14142516e~12, 0e0, )(0e0, 98870358e~11, )(27847716e~12, 0e0, )(11650759e~10, ~21064184e~12, )(31737238e~11, 20067161e~10, )(78726738e~11, 14817846e~10, )(26745454e~9, 31477530e~9, )
ML_statistics = :now=1464100487.75tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=987size_allocation=2464153600size_allocation_free=408283144size_heap=6254800896size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2464718872threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1843.112time_GC=110.628user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (~16166698e~8, ~23339567e~7, ) -- (0e0, 90410591e~12, )(17074002e~12, 0e0, )(0e0, 24387827e~11, )(25155393e~11, 0e0, )(36804461e~12, 12046013e~10, )(14627513e~10, ~16701493e~11, )(25058283e~11, 12623216e~10, )(50042063e~11, 22296984e~10, )(27791494e~9, 31362564e~9, )
aform(2): (~10555524e~8, ~22704659e~7, ) -- (0e0, 78245544e~12, )(15236213e~12, 0e0, )(0e0, 11095004e~10, )(58550726e~12, 0e0, )(11647467e~10, ~45324783e~12, )(34872732e~11, 20313965e~10, )(81042026e~11, 14886508e~10, )(27237290e~9, 31417525e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (~19839072e~8, ~23666623e~7, ) -- (0e0, 98169979e~12, )(18294803e~12, 0e0, )(0e0, 38636944e~11, )(27385122e~11, 0e0, )(55626358e~12, 12219223e~10, )(14601417e~10, ~20965966e~11, )(27030661e~11, 12746598e~10, )(53525967e~11, 22499072e~10, )(28281534e~9, 31077854e~9, )
aform(2): (~14129118e~8, ~23037157e~7, ) -- (0e0, 85590889e~12, )(16375228e~12, 0e0, )(0e0, 12429919e~10, )(92345594e~12, 0e0, )(11640385e~10, ~72947470e~12, )(38046789e~11, 20547228e~10, )(83368043e~11, 14929194e~10, )(27728189e~9, 31273382e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (~23562053e~8, ~23987322e~7, ) -- (0e0, 10605359e~11, )(19559810e~12, 0e0, )(0e0, 54350155e~11, )(29971707e~11, 0e0, )(74718894e~12, 12385780e~10, )(14568658e~10, ~25704547e~11, )(29022317e~11, 12856028e~10, )(57041447e~11, 22674612e~10, )(28767126e~9, 30687470e~9, )
aform(2): (~17754334e~8, ~23365414e~7, ) -- (0e0, 93153458e~12, )(17559123e~12, 0e0, )(0e0, 12791942e~11, )(11005823e~11, 0e0, )(19421749e~12, 12620259e~10, )(11628987e~10, ~10409289e~11, )(41257294e~11, 20763721e~10, )(85700730e~11, 14942744e~10, )(28216835e~9, 31036977e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (~27334533e~8, ~24300207e~7, ) -- (0e0, 11397984e~11, )(20867618e~12, 0e0, )(0e0, 74100814e~11, )(36886673e~11, 0e0, )(74718894e~12, 12385780e~10, )(14528494e~10, ~30933382e~11, )(29022317e~11, 12856028e~10, )(60584355e~11, 22819359e~10, )(29246618e~9, 30182764e~9, )
aform(2): (~21430409e~8, ~23688146e~7, ) -- (0e0, 10087307e~11, )(18787129e~12, 0e0, )(0e0, 26941303e~11, )(13107166e~11, 0e0, )(39140905e~12, 12805683e~10, )(11612723e~10, ~13891380e~11, )(44501625e~11, 20959978e~10, )(88035534e~11, 14923858e~10, )(28701788e~9, 30699962e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (~31155169e~8, ~24603720e~7, ) -- (0e0, 12185275e~11, )(22216393e~12, 0e0, )(0e0, 95425220e~11, )(44253394e~11, 0e0, )(74718894e~12, 12385780e~10, )(14480161e~10, ~36666408e~11, )(29022317e~11, 12856028e~10, )(64149880e~11, 22928851e~10, )(29718223e~9, 29555073e~9, )
aform(2): (~25156372e~8, ~24003968e~7, ) -- (0e0, 10867621e~11, )(20057972e~12, 0e0, )(0e0, 42510230e~11, )(15564466e~11, 0e0, )(59149785e~12, 12984257e~10, )(11591018e~10, ~17755190e~11, )(47776622e~11, 21132306e~10, )(90367386e~11, 14869119e~10, )(29181475e~9, 30253829e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (~35022369e~8, ~24896211e~7, ) -- (0e0, 12956298e~11, )(23604181e~12, 0e0, )(0e0, 11837772e~10, )(52100500e~11, 0e0, )(74718894e~12, 12385780e~10, )(14422870e~10, ~42914837e~11, )(29022317e~11, 12856028e~10, )(67732513e~11, 22998439e~10, )(30180021e~9, 28795824e~9, )
aform(2): (~28931027e~8, ~24311401e~7, ) -- (0e0, 11647563e~11, )(21370086e~12, 0e0, )(0e0, 61250211e~11, )(20433087e~11, 0e0, )(59149785e~12, 12984257e~10, )(11563275e~10, ~22013426e~11, )(51078545e~11, 21276795e~10, )(92690686e~11, 14775020e~10, )(29654191e~9, 29690003e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (~32752941e~8, ~24608867e~7, ) -- (0e0, 12416973e~11, )(22721479e~12, 0e0, )(0e0, 82921810e~11, )(28046524e~11, 0e0, )(59149785e~12, 12984257e~10, )(11528879e~10, ~26676943e~11, )(54403044e~11, 21389339e~10, )(92690686e~11, 14775020e~10, )(30118097e~9, 28999940e~9, )
aform(2): (~35022369e~8, ~24896211e~7, ) -- (0e0, 12956298e~11, )(23604181e~12, 0e0, )(0e0, 11837772e~10, )(52100500e~11, 0e0, )(74718894e~12, 12385780e~10, )(14422870e~10, ~42914837e~11, )(29022317e~11, 12856028e~10, )(67732513e~11, 22998439e~10, )(30180021e~9, 28795824e~9, )
=XS: 2 PS: 1 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (~36972919e~8, ~25037843e~7, ) -- (0e0, 27435371e~12, )(50135644e~13, 0e0, )(0e0, 18790084e~11, )(57458988e~11, 0e0, )(0e0, 11837772e~10, )(74718894e~12, 12385780e~10, )(14389342e~10, ~46300718e~11, )(29022317e~11, 12856028e~10, )(69529266e~11, 23010883e~10, )(30404989e~9, 28346249e~9, )
aform(2): (~32752941e~8, ~24608867e~7, ) -- (0e0, 12416973e~11, )(22721479e~12, 0e0, )(0e0, 82921810e~11, )(28046524e~11, 0e0, )(59149785e~12, 12984257e~10, )(11528879e~10, ~26676943e~11, )(54403044e~11, 21389339e~10, )(92690686e~11, 14775020e~10, )(30118097e~9, 28999940e~9, )
=XS: 2 PS: 2 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (~34681155e~8, ~24753403e~7, ) -- (0e0, 26354485e~12, )(48326845e~13, 0e0, )(0e0, 10100066e~10, )(33232204e~11, 0e0, )(59149785e~12, 12984257e~10, )(11508038e~10, ~29215634e~11, )(56074086e~11, 21427499e~10, )(92690686e~11, 14775020e~10, )(30344660e~9, 28587594e~9, )
aform(2): (~38934401e~8, ~25176060e~7, ) -- (0e0, 28178562e~12, )(51586601e~13, 0e0, )(0e0, 27562599e~11, )(62823165e~11, 0e0, )(0e0, 11837772e~10, )(74718894e~12, 12385780e~10, )(14353170e~10, ~49818496e~11, )(29022317e~11, 12856028e~10, )(69529266e~11, 23010883e~10, )(30626444e~9, 27860102e~9, )
=XS: 2 PS: 4 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 2
aform(2): (~36620540e~8, ~24894816e~7, ) -- (0e0, 27107734e~12, )(49747209e~13, 0e0, )(0e0, 10988044e~10, )(38367859e~11, 0e0, )(59149785e~12, 12984257e~10, )(11485213e~10, ~31859147e~11, )(56074086e~11, 21427499e~10, )(92690686e~11, 14775020e~10, )(30568000e~9, 28139970e~9, )
aform(2): (~40906538e~8, ~25310632e~7, ) -- (0e0, 28897885e~12, )(53054152e~13, 0e0, )(0e0, 36727423e~11, )(68270970e~11, 0e0, )(0e0, 11837772e~10, )(74718894e~12, 12385780e~10, )(14314249e~10, ~53468356e~11, )(29022317e~11, 12856028e~10, )(69529266e~11, 23010883e~10, )(30844101e~9, 27336426e~9, )
=XS: 2 PS: 6 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 1
aform(2): (~38570842e~8, ~25032885e~7, ) -- (0e0, 27841620e~12, )(51185319e~13, 0e0, )(0e0, 92327837e~12, )(43587692e~11, 0e0, )(0e0, 10988044e~10, )(59149785e~12, 12984257e~10, )(11460323e~10, ~34607986e~11, )(56074086e~11, 21427499e~10, )(92690686e~11, 14775020e~10, )(30787844e~9, 27656086e~9, )
=XS: 1 PS: 7 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 1
aform(2): (~40531791e~8, ~25167380e~7, ) -- (0e0, 28552610e~12, )(52640582e~13, 0e0, )(0e0, 18825504e~11, )(48894593e~11, 0e0, )(0e0, 10988044e~10, )(59149785e~12, 12984257e~10, )(11433286e~10, ~37462442e~11, )(56074086e~11, 21427499e~10, )(92690686e~11, 14775020e~10, )(31003907e~9, 27134993e~9, )
=XS: 1 PS: 8 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~38637967e~8
=XS above: 0
= Collecting: 8aforms ... = Collected to  4 aforms!
aform(2): (~38637967e~8, ~25618386e~7, ) -- (0e0, 17436931e~9, )
aform(2): (~38637967e~8, ~25269648e~7, ) -- (0e0, 17436931e~9, )
aform(2): (~38637967e~8, ~24920909e~7, ) -- (0e0, 17436931e~9, )
aform(2): (~38637967e~8, ~24572170e~7, ) -- (0e0, 17436931e~9, )
= Ys: 1 Rss: 0= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~38637967e~8, ~25618386e~7, ) -- (0e0, 17436931e~9, )
aform(2): (~38637967e~8, ~25269648e~7, ) -- (0e0, 17436931e~9, )
aform(2): (~38637967e~8, ~24920909e~7, ) -- (0e0, 17436931e~9, )
aform(2): (~38637967e~8, ~24572170e~7, ) -- (0e0, 17436931e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~42662119e~8, ~25890584e~7, ) -- (0e0, 61757078e~12, )(11132244e~12, 0e0, )(0e0, 56224968e~17, )(31152910e~18, 0e0, )(27245205e~11, 17668709e~9, )
aform(2): (~42607281e~8, ~25537407e~7, ) -- (0e0, 59767943e~12, )(10924557e~12, 0e0, )(0e0, 13912695e~16, )(11334732e~17, 0e0, )(27245205e~11, 17668709e~9, )
aform(2): (~42552443e~8, ~25184227e~7, ) -- (0e0, 57823113e~12, )(10719130e~12, 0e0, )(0e0, 35764432e~17, )(19554173e~17, 0e0, )(27245205e~11, 17668709e~9, )
aform(2): (~42497605e~8, ~24831044e~7, ) -- (0e0, 55922066e~12, )(10515958e~12, 0e0, )(0e0, 11866642e~16, )(44905509e~18, 0e0, )(27245205e~11, 17668709e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~46727480e~8, ~26145860e~7, ) -- (0e0, 65554117e~12, )(11737212e~12, 0e0, )(0e0, 63176076e~12, )(12097338e~12, 0e0, )(54852564e~11, 17880874e~9, )
aform(2): (~46617144e~8, ~25788675e~7, ) -- (0e0, 63440120e~12, )(11507571e~12, 0e0, )(0e0, 61146332e~12, )(11858723e~12, 0e0, )(54852564e~11, 17881144e~9, )
aform(2): (~46506807e~8, ~25431478e~7, ) -- (0e0, 61373106e~12, )(11280780e~12, 0e0, )(0e0, 59161000e~12, )(11622994e~12, 0e0, )(54852564e~11, 17881412e~9, )
aform(2): (~46396469e~8, ~25074270e~7, ) -- (0e0, 59352533e~12, )(11056825e~12, 0e0, )(0e0, 57221829e~12, )(11389894e~12, 0e0, )(54852564e~11, 17881681e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~50831244e~8, ~26382154e~7, ) -- (0e0, 69089253e~12, )(12357038e~12, 0e0, )(0e0, 13174989e~11, )(25846071e~12, 0e0, )(82791431e~11, 18069747e~9, )
aform(2): (~50664824e~8, ~26021465e~7, ) -- (0e0, 66866043e~12, )(12104814e~12, 0e0, )(0e0, 12751685e~11, )(25313089e~12, 0e0, )(82791852e~11, 18070642e~9, )
aform(2): (~50498400e~8, ~25660747e~7, ) -- (0e0, 64691789e~12, )(11856046e~12, 0e0, )(0e0, 12337744e~11, )(24787137e~12, 0e0, )(82792272e~11, 18071535e~9, )
aform(2): (~50331971e~8, ~25300001e~7, ) -- (0e0, 62565947e~12, )(11610711e~12, 0e0, )(0e0, 11933295e~11, )(24268561e~12, 0e0, )(82792691e~11, 18072425e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~54970281e~8, ~26597345e~7, ) -- (0e0, 72276407e~12, )(12990217e~12, 0e0, )(0e0, 20564701e~11, )(41341403e~12, 0e0, )(11102541e~10, 18231503e~9, )
aform(2): (~54747275e~8, ~26233733e~7, ) -- (0e0, 69964357e~12, )(12714858e~12, 0e0, )(0e0, 19904787e~11, )(40455318e~12, 0e0, )(11102723e~10, 18233472e~9, )
aform(2): (~54524257e~8, ~25870066e~7, ) -- (0e0, 67702325e~12, )(12443573e~12, 0e0, )(0e0, 19259483e~11, )(39581986e~12, 0e0, )(11102904e~10, 18235434e~9, )
aform(2): (~54301229e~8, ~25506343e~7, ) -- (0e0, 65489795e~12, )(12176331e~12, 0e0, )(0e0, 18628804e~11, )(38721507e~12, 0e0, )(11103085e~10, 18237388e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~59141125e~8, ~26789275e~7, ) -- (0e0, 75024271e~12, )(13635046e~12, 0e0, )(0e0, 28471223e~11, )(58674567e~12, 0e0, )(13951213e~10, 18362217e~9, )
aform(2): (~58861126e~8, ~26423400e~7, ) -- (0e0, 72648719e~12, )(13336086e~12, 0e0, )(0e0, 27559840e~11, )(57373611e~12, 0e0, )(13951703e~10, 18365799e~9, )
aform(2): (~58581105e~8, ~26057430e~7, ) -- (0e0, 70323126e~12, )(13041828e~12, 0e0, )(0e0, 26668370e~11, )(56093096e~12, 0e0, )(13952191e~10, 18369366e~9, )
aform(2): (~58301061e~8, ~25691365e~7, ) -- (0e0, 68047032e~12, )(12752233e~12, 0e0, )(0e0, 25797023e~11, )(54832150e~12, 0e0, )(13952677e~10, 18372918e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~63339969e~8, ~26955767e~7, ) -- (0e0, 77238044e~12, )(14289618e~12, 0e0, )(0e0, 36870073e~11, )(77930760e~12, 0e0, )(16820310e~10, 18457902e~9, )
aform(2): (~63002683e~8, ~26588364e~7, ) -- (0e0, 74829399e~12, )(13966691e~12, 0e0, )(0e0, 35694024e~11, )(76151472e~12, 0e0, )(16821359e~10, 18463732e~9, )
aform(2): (~62665355e~8, ~26220814e~7, ) -- (0e0, 72469317e~12, )(13649099e~12, 0e0, )(0e0, 34543406e~11, )(74401077e~12, 0e0, )(16822404e~10, 18469534e~9, )
aform(2): (~62327986e~8, ~25853118e~7, ) -- (0e0, 70157436e~12, )(13336794e~12, 0e0, )(0e0, 33418554e~11, )(72678723e~12, 0e0, )(16823446e~10, 18475308e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~67562670e~8, ~27094643e~7, ) -- (0e0, 78821601e~12, )(14951832e~12, 0e0, )(0e0, 45727106e~11, )(99188515e~12, 0e0, )(19704357e~10, 18514573e~9, )
aform(2): (~67167921e~8, ~26726526e~7, ) -- (0e0, 76415272e~12, )(14604681e~12, 0e0, )(0e0, 44275598e~11, )(96864775e~12, 0e0, )(19706317e~10, 18523374e~9, )
aform(2): (~66773102e~8, ~26358195e~7, ) -- (0e0, 74054573e~12, )(14263497e~12, 0e0, )(0e0, 42855075e~11, )(94580228e~12, 0e0, )(19708269e~10, 18532129e~9, )
aform(2): (~66378213e~8, ~25989651e~7, ) -- (0e0, 71739297e~12, )(13928226e~12, 0e0, )(0e0, 41466017e~11, )(92333466e~12, 0e0, )(19710213e~10, 18540838e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~71804744e~8, ~27203752e~7, ) -- (0e0, 79680105e~12, )(15619393e~12, 0e0, )(0e0, 54998223e~11, )(12251693e~11, 0e0, )(22597259e~10, 18528302e~9, )
aform(2): (~71352490e~8, ~26835809e~7, ) -- (0e0, 77316229e~12, )(15247881e~12, 0e0, )(0e0, 53263420e~11, )(11958196e~11, 0e0, )(22600594e~10, 18540884e~9, )
aform(2): (~70900125e~8, ~26467569e~7, ) -- (0e0, 74993355e~12, )(14882963e~12, 0e0, )(0e0, 51565094e~11, )(11669730e~11, 0e0, )(22603914e~10, 18553396e~9, )
aform(2): (~70447652e~8, ~26099031e~7, ) -- (0e0, 72711470e~12, )(14524579e~12, 0e0, )(0e0, 49903796e~11, )(11386211e~11, 0e0, )(22607219e~10, 18565838e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~76061377e~8, ~27280996e~7, ) -- (0e0, 79723012e~12, )(16289826e~12, 0e0, )(0e0, 64629746e~11, )(14797514e~11, 0e0, )(25492306e~10, 18495293e~9, )
aform(2): (~75551719e~8, ~26914188e~7, ) -- (0e0, 77445968e~12, )(15893945e~12, 0e0, )(0e0, 62606967e~11, )(14436069e~11, 0e0, )(25497608e~10, 18512544e~9, )
aform(2): (~75041897e~8, ~26546979e~7, ) -- (0e0, 75203466e~12, )(15505275e~12, 0e0, )(0e0, 60625950e~11, )(14080931e~11, 0e0, )(25502883e~10, 18529694e~9, )
aform(2): (~74531912e~8, ~26179371e~7, ) -- (0e0, 72995741e~12, )(15123751e~12, 0e0, )(0e0, 58687470e~11, )(13732074e~11, 0e0, )(25508131e~10, 18546743e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~80327430e~8, ~27324359e~7, ) -- (0e0, 78867421e~12, )(16960481e~12, 0e0, )(0e0, 95023078e~12, )(16551070e~11, 0e0, )(10098397e~12, 65055360e~11, )(28382196e~10, 18411956e~9, )
aform(2): (~79760627e~8, ~26959710e~7, ) -- (0e0, 76725076e~12, )(16540363e~12, 0e0, )(0e0, 92193486e~12, )(16146522e~11, 0e0, )(97823386e~13, 63026819e~11, )(28390193e~10, 18434829e~9, )
aform(2): (~79193588e~8, ~26594539e~7, ) -- (0e0, 74608914e~12, )(16128057e~12, 0e0, )(0e0, 89416647e~12, )(15748967e~11, 0e0, )(94728048e~13, 61039790e~11, )(28398147e~10, 18457565e~9, )
aform(2): (~78626313e~8, ~26228848e~7, ) -- (0e0, 72519465e~12, )(15723491e~12, 0e0, )(0e0, 67764234e~11, )(16275539e~11, 0e0, )(28406060e~10, 18480164e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~84597460e~8, ~27331946e~7, ) -- (0e0, 77945784e~12, )(17657705e~12, 0e0, )(0e0, 19208088e~11, )(18518860e~11, 0e0, )(20263298e~12, 65330916e~11, )(31259064e~10, 18274991e~9, )
aform(2): (~83973934e~8, ~26970537e~7, ) -- (0e0, 75744198e~12, )(17206830e~12, 0e0, )(0e0, 18646312e~11, )(18064508e~11, 0e0, )(19630279e~12, 63304091e~11, )(31270635e~10, 18304492e~9, )
aform(2): (~83350079e~8, ~26608465e~7, ) -- (0e0, 73576287e~12, )(16764199e~12, 0e0, )(0e0, 18094349e~11, )(17618084e~11, 0e0, )(19010272e~12, 61318235e~11, )(31282142e~10, 18333814e~9, )
aform(2): (~82725897e~8, ~26245734e~7, ) -- (0e0, 71442260e~12, )(16329768e~12, 0e0, )(0e0, 89046870e~12, )(17961217e~11, 0e0, )(10588161e~12, 68168479e~11, )(31293585e~10, 18362956e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~88865736e~8, ~27302006e~7, ) -- (0e0, 78067224e~12, )(18388777e~12, 0e0, )(0e0, 29123502e~11, )(20706595e~11, 0e0, )(30471253e~12, 65443079e~11, )(34114532e~10, 18081470e~9, )
aform(2): (~88186082e~8, ~26944973e~7, ) -- (0e0, 75698497e~12, )(17907204e~12, 0e0, )(0e0, 28267139e~11, )(20194914e~11, 0e0, )(29521543e~12, 63426116e~11, )(34130712e~10, 18118637e~9, )
aform(2): (~87505982e~8, ~26587115e~7, ) -- (0e0, 73440998e~12, )(17436769e~12, 0e0, )(0e0, 27425886e~11, )(19692214e~11, 0e0, )(28591246e~12, 61449262e~11, )(34146800e~10, 18155580e~9, )
aform(2): (~86825441e~8, ~26228436e~7, ) -- (0e0, 71396164e~12, )(16982020e~12, 0e0, )(0e0, 17975316e~11, )(19844967e~11, 0e0, )(21239486e~12, 68416296e~11, )(34162797e~10, 18192297e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~93126276e~8, ~27232935e~7, ) -- (0e0, 79809532e~12, )(19142107e~12, 0e0, )(0e0, 39365629e~11, )(23122520e~11, 0e0, )(40696734e~12, 65379467e~11, )(36939761e~10, 17828924e~9, )
aform(2): (~92391268e~8, ~26881453e~7, ) -- (0e0, 77433999e~12, )(18643291e~12, 0e0, )(0e0, 38187389e~11, )(22545632e~11, 0e0, )(39431874e~12, 63381103e~11, )(36961749e~10, 17874809e~9, )
aform(2): (~91655673e~8, ~26528963e~7, ) -- (0e0, 75103745e~12, )(18152968e~12, 0e0, )(0e0, 37037930e~11, )(21979189e~11, 0e0, )(38192693e~12, 61421651e~11, )(36983610e~10, 17920422e~9, )
aform(2): (~90919493e~8, ~26175472e~7, ) -- (0e0, 72822401e~12, )(17671269e~12, 0e0, )(0e0, 27326061e~11, )(21935599e~11, 0e0, )(31929532e~12, 68495076e~11, )(37005344e~10, 17965761e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~97372856e~8, ~27123353e~7, ) -- (0e0, 81082351e~12, )(19813941e~12, 0e0, )(0e0, 50358726e~11, )(26798092e~11, 0e0, )(40696734e~12, 65379467e~11, )(39725531e~10, 17515427e~9, )
aform(2): (~96583457e~8, ~26778623e~7, ) -- (0e0, 78724802e~12, )(19302586e~12, 0e0, )(0e0, 48819569e~11, )(26117994e~11, 0e0, )(39431874e~12, 63381103e~11, )(39754688e~10, 17571070e~9, )
aform(2): (~95793297e~8, ~26432686e~7, ) -- (0e0, 76409242e~12, )(18799450e~12, 0e0, )(0e0, 47317873e~11, )(25450295e~11, 0e0, )(38192693e~12, 61421651e~11, )(39783676e~10, 17626394e~9, )
aform(2): (~95002380e~8, ~26085545e~7, ) -- (0e0, 74141233e~12, )(18304732e~12, 0e0, )(0e0, 37114461e~11, )(24243495e~11, 0e0, )(42631888e~12, 68393265e~11, )(39812494e~10, 17681396e~9, )
ML_statistics = :now=1464100488.28tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=988size_allocation=2495610880size_allocation_free=2495610880size_heap=6286258176size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2496307440threads_in_ML=1threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1843.976time_GC=110.66user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~101599058e~8, ~26972116e~7, ) -- (0e0, 81830300e~12, )(20392002e~12, 0e0, )(0e0, 62010349e~11, )(30714650e~11, 0e0, )(40696734e~12, 65379467e~11, )(42462316e~10, 17139677e~9, )
aform(2): (~100756418e~8, ~26635357e~7, ) -- (0e0, 79517215e~12, )(19873363e~12, 0e0, )(0e0, 60091721e~11, )(29924454e~11, 0e0, )(39431874e~12, 63381103e~11, )(42500168e~10, 17206079e~9, )
aform(2): (~99912810e~8, ~26297171e~7, ) -- (0e0, 77241827e~12, )(19362448e~12, 0e0, )(0e0, 58219848e~11, )(29148714e~11, 0e0, )(38192693e~12, 61421651e~11, )(42537800e~10, 17272119e~9, )
aform(2): (~99068241e~8, ~25957563e~7, ) -- (0e0, 75006625e~12, )(18859455e~12, 0e0, )(0e0, 47630430e~11, )(27838379e~11, 0e0, )(42631888e~12, 68393265e~11, )(42575212e~10, 17337791e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~105798305e~8, ~26778346e~7, ) -- (0e0, 82138670e~12, )(21411385e~12, 0e0, )(0e0, 12341581e~11, )(34872255e~11, 0e0, )(0e0, 62010349e~11, )(40696734e~12, 65379467e~11, )(45140391e~10, 16701068e~9, )
aform(2): (~104903764e~8, ~26450777e~7, ) -- (0e0, 79861293e~12, )(20755063e~12, 0e0, )(0e0, 11907928e~11, )(33965335e~11, 0e0, )(0e0, 60091721e~11, )(39431874e~12, 63381103e~11, )(45188618e~10, 16779162e~9, )
aform(2): (~104008014e~8, ~26121544e~7, ) -- (0e0, 77618859e~12, )(20110910e~12, 0e0, )(0e0, 11489893e~11, )(33075085e~11, 0e0, )(0e0, 58219848e~11, )(38192693e~12, 61421651e~11, )(45236569e~10, 16856859e~9, )
aform(2): (~103111062e~8, ~25790654e~7, ) -- (0e0, 75413654e~12, )(19478966e~12, 0e0, )(0e0, 58740422e~11, )(31654461e~11, 0e0, )(42631888e~12, 68393265e~11, )(45284242e~10, 16934151e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~109963904e~8, ~26541456e~7, ) -- (0e0, 81864397e~12, )(22483118e~12, 0e0, )(0e0, 25508800e~11, )(39325105e~11, 0e0, )(0e0, 62010349e~11, )(40696734e~12, 65379467e~11, )(47749933e~10, 16199749e~9, )
aform(2): (~109018993e~8, ~26224281e~7, ) -- (0e0, 79677559e~12, )(21797074e~12, 0e0, )(0e0, 24605515e~11, )(38280988e~11, 0e0, )(0e0, 60091721e~11, )(39431874e~12, 63381103e~11, )(47810362e~10, 16290372e~9, )
aform(2): (~108072593e~8, ~25905192e~7, ) -- (0e0, 77520015e~12, )(21123634e~12, 0e0, )(0e0, 23730827e~11, )(37256450e~11, 0e0, )(0e0, 58219848e~11, )(38192693e~12, 61421651e~11, )(47870453e~10, 16380575e~9, )
aform(2): (~107124713e~8, ~25584195e~7, ) -- (0e0, 75394633e~12, )(20462878e~12, 0e0, )(0e0, 11799552e~11, )(35706742e~11, 0e0, )(0e0, 58740422e~11, )(42631888e~12, 68393265e~11, )(47930203e~10, 16470348e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~114089097e~8, ~26261170e~7, ) -- (0e0, 80952158e~12, )(23531263e~12, 0e0, )(0e0, 39532427e~11, )(44090393e~11, 0e0, )(0e0, 62010349e~11, )(40696734e~12, 65379467e~11, )(50281144e~10, 15636675e~9, )
aform(2): (~113095531e~8, ~25955564e~7, ) -- (0e0, 78885299e~12, )(22817513e~12, 0e0, )(0e0, 38124393e~11, )(42898945e~11, 0e0, )(0e0, 60091721e~11, )(39431874e~12, 63381103e~11, )(50355732e~10, 15740537e~9, )
aform(2): (~112100158e~8, ~25647781e~7, ) -- (0e0, 76841080e~12, )(22116703e~12, 0e0, )(0e0, 36759231e~11, )(41730151e~11, 0e0, )(0e0, 58219848e~11, )(38192693e~12, 61421651e~11, )(50429918e~10, 15843973e~9, )
aform(2): (~111102985e~8, ~25337828e~7, ) -- (0e0, 74822667e~12, )(21428961e~12, 0e0, )(0e0, 24354316e~11, )(40041697e~11, 0e0, )(0e0, 58740422e~11, )(42631888e~12, 68393265e~11, )(50503695e~10, 15946973e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~118167108e~8, ~25937543e~7, ) -- (0e0, 79372576e~12, )(24545837e~12, 0e0, )(0e0, 54440849e~11, )(49178260e~11, 0e0, )(0e0, 62010349e~11, )(40696734e~12, 65379467e~11, )(52724374e~10, 15013640e~9, )
aform(2): (~117126783e~8, ~25644633e~7, ) -- (0e0, 77455254e~12, )(23806829e~12, 0e0, )(0e0, 52491242e~11, )(47828972e~11, 0e0, )(0e0, 60091721e~11, )(39431874e~12, 63381103e~11, )(52815191e~10, 15131294e~9, )
aform(2): (~116084290e~8, ~25349276e~7, ) -- (0e0, 75553051e~12, )(23080987e~12, 0e0, )(0e0, 50600079e~11, )(46505668e~11, 0e0, )(0e0, 58219848e~11, )(38192693e~12, 61421651e~11, )(52905539e~10, 15248541e~9, )
aform(2): (~115039637e~8, ~25051479e~7, ) -- (0e0, 73669431e~12, )(22368490e~12, 0e0, )(0e0, 37687737e~11, )(44668593e~11, 0e0, )(0e0, 58740422e~11, )(42631888e~12, 68393265e~11, )(52995410e~10, 15365367e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~122191195e~8, ~25570970e~7, ) -- (0e0, 77108280e~12, )(25516657e~12, 0e0, )(0e0, 15820778e~11, )(54598045e~11, 0e0, )(0e0, 54440849e~11, )(0e0, 62010349e~11, )(40696734e~12, 65379467e~11, )(55070256e~10, 14333286e~9, )
aform(2): (~121106179e~8, ~25291822e~7, ) -- (0e0, 75369355e~12, )(24755257e~12, 0e0, )(0e0, 15240678e~11, )(53080192e~11, 0e0, )(0e0, 52491242e~11, )(0e0, 60091721e~11, )(39431874e~12, 63381103e~11, )(55179456e~10, 14465102e~9, )
aform(2): (~120018590e~8, ~25009953e~7, ) -- (0e0, 73637287e~12, )(24007129e~12, 0e0, )(0e0, 65277582e~11, )(51591885e~11, 0e0, )(0e0, 58219848e~11, )(38192693e~12, 61421651e~11, )(55288123e~10, 14596559e~9, )
aform(2): (~118928439e~8, ~24725368e~7, ) -- (0e0, 71915822e~12, )(23272509e~12, 0e0, )(0e0, 51822775e~11, )(49595974e~11, 0e0, )(0e0, 58740422e~11, )(42631888e~12, 68393265e~11, )(55396248e~10, 14727640e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~126154707e~8, ~25162197e~7, ) -- (0e0, 74155350e~12, )(26433552e~12, 0e0, )(0e0, 26397227e~11, )(57605376e~12, 0e0, )(54598045e~11, ~61841626e~12, )(0e0, 54440849e~11, )(0e0, 62010349e~11, )(40696734e~12, 65379467e~11, )(57309832e~10, 13599094e~9, )
aform(2): (~125027227e~8, ~24897797e~7, ) -- (0e0, 72622110e~12, )(25653017e~12, 0e0, )(0e0, 25470840e~11, )(55808908e~12, 0e0, )(53080192e~11, ~59101409e~12, )(0e0, 52491242e~11, )(0e0, 60091721e~11, )(39431874e~12, 63381103e~11, )(57439628e~10, 13745238e~9, )
aform(2): (~123896727e~8, ~24630403e~7, ) -- (0e0, 71086889e~12, )(24885731e~12, 0e0, )(0e0, 98928299e~12, )(54051350e~12, 0e0, )(0e0, 65277582e~11, )(51591885e~11, ~56455376e~12, )(0e0, 58219848e~11, )(38192693e~12, 61421651e~11, )(57568836e~10, 13891106e~9, )
aform(2): (~122763219e~8, ~24360016e~7, ) -- (0e0, 69553697e~12, )(24131995e~12, 0e0, )(0e0, 14958891e~11, )(54831819e~11, 0e0, )(0e0, 51822775e~11, )(0e0, 58740422e~11, )(42631888e~12, 68393265e~11, )(57697442e~10, 14036674e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 4
aform(2): (~130051136e~8, ~24712315e~7, ) -- (0e0, 70524332e~12, )(27286601e~12, 0e0, )(0e0, 37799379e~11, )(11773413e~11, 0e0, )(54501417e~11, ~12396108e~11, )(0e0, 54440849e~11, )(0e0, 62010349e~11, )(40696734e~12, 65379467e~11, )(59434690e~10, 12815361e~9, )
aform(2): (~128883566e~8, ~24463559e~7, ) -- (0e0, 69221640e~12, )(26490532e~12, 0e0, )(0e0, 36491882e~11, )(11407162e~11, 0e0, )(52987847e~11, ~11851058e~11, )(0e0, 52491242e~11, )(0e0, 60091721e~11, )(39431874e~12, 63381103e~11, )(59587322e~10, 12975773e~9, )
aform(2): (~127712487e~8, ~24211539e~7, ) -- (0e0, 67907747e~12, )(25707560e~12, 0e0, )(0e0, 20542798e~11, )(11048750e~11, 0e0, )(0e0, 65277582e~11, )(51503674e~11, ~11324438e~11, )(0e0, 58219848e~11, )(38192693e~12, 61421651e~11, )(59739321e~10, 13136029e~9, )
aform(2): (~126537911e~8, ~23956253e~7, ) -- (0e0, 66586893e~12, )(24938052e~12, 0e0, )(0e0, 24783279e~11, )(55518092e~12, 0e0, )(54831819e~11, ~59809760e~12, )(0e0, 51822775e~11, )(0e0, 58740422e~11, )(42631888e~12, 68393265e~11, )(59890673e~10, 13296104e~9, )
=XS: 3 PS: 0 RS: 1 Flowing towards: (1e0, 0e0, ) -- ~23863797e~7
=XS above: 3
aform(2): (~132669016e~8, ~23990436e~7, ) -- (0e0, 74154286e~12, )(27256834e~12, 0e0, )(0e0, 48316597e~11, )(17484046e~11, 0e0, )(52802674e~11, ~17777453e~11, )(0e0, 52491242e~11, )(0e0, 60091721e~11, )(39431874e~12, 63381103e~11, )(61614786e~10, 12161520e~9, )
aform(2): (~131459823e~8, ~23754587e~7, ) -- (0e0, 70406594e~12, )(26462055e~12, 0e0, )(0e0, 31961906e~11, )(16936013e~11, 0e0, )(0e0, 65277582e~11, )(51326729e~11, ~16994252e~11, )(0e0, 58219848e~11, )(38192693e~12, 61421651e~11, )(61791826e~10, 12335911e~9, )
aform(2): (~130246602e~8, ~23515208e~7, ) -- (0e0, 66802553e~12, )(25682115e~12, 0e0, )(0e0, 35351006e~11, )(11333164e~11, 0e0, )(54738366e~11, ~11975784e~11, )(0e0, 51822775e~11, )(0e0, 58740422e~11, )(42631888e~12, 68393265e~11, )(61968189e~10, 12510281e~9, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 22896319e~7
=XS above: 4
aform(2): (~133874170e~8, ~24222759e~7, ) -- (0e0, 78042243e~12, )(28064418e~12, 0e0, )(0e0, 50041405e~11, )(18044006e~11, 0e0, )(54307728e~11, ~18587545e~11, )(0e0, 54440849e~11, )(0e0, 62010349e~11, )(40696734e~12, 65379467e~11, )(61437090e~10, 11987141e~9, )
aform(2): (~136377631e~8, ~23480073e~7, ) -- (0e0, 82781897e~12, )(27944301e~12, 0e0, )(0e0, 13549366e~11, )(23830005e~11, 0e0, )(0e0, 48316597e~11, )(52524901e~11, ~23643223e~11, )(0e0, 52491242e~11, )(0e0, 60091721e~11, )(39431874e~12, 63381103e~11, )(63515024e~10, 11307975e~9, )
aform(2): (~135132904e~8, ~23261081e~7, ) -- (0e0, 78749594e~12, )(27141497e~12, 0e0, )(0e0, 44798330e~11, )(23081082e~11, 0e0, )(0e0, 65277582e~11, )(51061194e~11, ~22611682e~11, )(0e0, 58219848e~11, )(38192693e~12, 61421651e~11, )(63719312e~10, 11496002e~9, )
aform(2): (~133883577e~8, ~23038306e~7, ) -- (0e0, 74863849e~12, )(26354744e~12, 0e0, )(0e0, 47054106e~11, )(17354405e~11, 0e0, )(54551244e~11, ~17939860e~11, )(0e0, 51822775e~11, )(0e0, 58740422e~11, )(42631888e~12, 68393265e~11, )(63922920e~10, 11684217e~9, )
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 22896319e~7
=XS above: 4
aform(2): (~137617749e~8, ~23695293e~7, ) -- (0e0, 86953313e~12, )(28759529e~12, 0e0, )(0e0, 14291935e~11, )(24595428e~11, 0e0, )(0e0, 50041405e~11, )(54017298e~11, ~24709428e~11, )(0e0, 54440849e~11, )(0e0, 62010349e~11, )(40696734e~12, 65379467e~11, )(63310081e~10, 11120173e~9, )
aform(2): (~136377631e~8, ~23480073e~7, ) -- (0e0, 82781897e~12, )(27944301e~12, 0e0, )(0e0, 13549366e~11, )(23830005e~11, 0e0, )(0e0, 48316597e~11, )(52524901e~11, ~23643223e~11, )(0e0, 52491242e~11, )(0e0, 60091721e~11, )(39431874e~12, 63381103e~11, )(63515024e~10, 11307975e~9, )
aform(2): (~135132904e~8, ~23261081e~7, ) -- (0e0, 78749594e~12, )(27141497e~12, 0e0, )(0e0, 44798330e~11, )(23081082e~11, 0e0, )(0e0, 65277582e~11, )(51061194e~11, ~22611682e~11, )(0e0, 58219848e~11, )(38192693e~12, 61421651e~11, )(63719312e~10, 11496002e~9, )
aform(2): (~133883577e~8, ~23038306e~7, ) -- (0e0, 74863849e~12, )(26354744e~12, 0e0, )(0e0, 47054106e~11, )(17354405e~11, 0e0, )(54551244e~11, ~17939860e~11, )(0e0, 51822775e~11, )(0e0, 58740422e~11, )(42631888e~12, 68393265e~11, )(63922920e~10, 11684217e~9, )
=XS: 4 PS: 2 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 22896319e~7
=XS above: 4
aform(2): (~141276112e~8, ~23131991e~7, ) -- (0e0, 95201753e~12, )(29364926e~12, 0e0, )(0e0, 30876274e~11, )(31453569e~11, 0e0, )(0e0, 50041405e~11, )(53631213e~11, ~30712860e~11, )(0e0, 54440849e~11, )(0e0, 62010349e~11, )(40696734e~12, 65379467e~11, )(65047608e~10, 10220791e~9, )
aform(2): (~138201517e~8, ~23211444e~7, ) -- (0e0, 14184590e~12, )(45250067e~13, 0e0, )(0e0, 25558805e~11, )(28547199e~11, 0e0, )(0e0, 48316597e~11, )(52340188e~11, ~26522757e~11, )(0e0, 52491242e~11, )(0e0, 60091721e~11, )(39431874e~12, 63381103e~11, )(64398460e~10, 10864599e~9, )
aform(2): (~136940019e~8, ~23001103e~7, ) -- (0e0, 13594210e~12, )(44067530e~13, 0e0, )(0e0, 11402270e~11, )(27651484e~11, 0e0, )(0e0, 44798330e~11, )(0e0, 65277582e~11, )(50884540e~11, ~25372519e~11, )(0e0, 58219848e~11, )(38192693e~12, 61421651e~11, )(64617437e~10, 11059073e~9, )
aform(2): (~135673622e~8, ~22786859e~7, ) -- (0e0, 13024894e~12, )(42912184e~13, 0e0, )(0e0, 10597036e~11, )(21814098e~11, 0e0, )(0e0, 47054106e~11, )(54411089e~11, ~20884044e~11, )(0e0, 51822775e~11, )(0e0, 58740422e~11, )(42631888e~12, 68393265e~11, )(64835750e~10, 11253863e~9, )
=XS: 4 PS: 5 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 22896319e~7
=XS above: 2
aform(2): (~140004082e~8, ~22934253e~7, ) -- (0e0, 14691772e~12, )(45755399e~13, 0e0, )(0e0, 30984031e~11, )(30962742e~11, 0e0, )(0e0, 48316597e~11, )(52132979e~11, ~29366546e~11, )(0e0, 52491242e~11, )(0e0, 60091721e~11, )(39431874e~12, 63381103e~11, )(65247256e~10, 10414268e~9, )
aform(2): (~141276112e~8, ~23131991e~7, ) -- (0e0, 95201753e~12, )(29364926e~12, 0e0, )(0e0, 30876274e~11, )(31453569e~11, 0e0, )(0e0, 50041405e~11, )(53631213e~11, ~30712860e~11, )(0e0, 54440849e~11, )(0e0, 62010349e~11, )(40696734e~12, 65379467e~11, )(65047608e~10, 10220791e~9, )
=XS: 2 PS: 7 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 22896319e~7
=XS above: 1
aform(2): (~143071795e~8, ~22837535e~7, ) -- (0e0, 15842188e~12, )(47484560e~13, 0e0, )(0e0, 45096717e~11, )(36517196e~11, 0e0, )(0e0, 50041405e~11, )(53391269e~11, ~33631437e~11, )(0e0, 54440849e~11, )(0e0, 62010349e~11, )(40696734e~12, 65379467e~11, )(65846108e~10, 97583021e~10, )
=XS: 1 PS: 8 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 22896319e~7
=XS above: 0
= Collecting: 8aforms ... = Collected to  2 aforms!
aform(2): (~142500265e~8, ~22896320e~7, ) -- (31186889e~9, 0e0, )
aform(2): (~136262888e~8, ~22896320e~7, ) -- (31186889e~9, 0e0, )
= Ys: 1 Rss: 0= Groups: 1
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~142500265e~8, ~22896320e~7, ) -- (31186889e~9, 0e0, )
aform(2): (~136262888e~8, ~22896320e~7, ) -- (31186889e~9, 0e0, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~146030406e~8, ~22289395e~7, ) -- (0e0, 11954599e~11, )(50681249e~12, 0e0, )(0e0, 34796085e~12, )(29107835e~17, 0e0, )(31186889e~9, ~36671217e~10, )
aform(2): (~139798598e~8, ~22360720e~7, ) -- (0e0, 91485319e~12, )(47833869e~12, 0e0, )(0e0, 34796122e~12, )(45240522e~17, 0e0, )(31186889e~9, ~35279376e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~149463385e~8, ~21652655e~7, ) -- (0e0, 13962011e~11, )(51430200e~12, 0e0, )(0e0, 20251042e~11, )(53093308e~12, 0e0, )(31129590e~9, ~72617492e~10, )
aform(2): (~143248173e~8, ~21793800e~7, ) -- (0e0, 11137307e~11, )(48618288e~12, 0e0, )(0e0, 17271417e~11, )(49807723e~12, 0e0, )(31131765e~9, ~70091908e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~152794769e~8, ~20988991e~7, ) -- (0e0, 15793119e~11, )(52080073e~12, 0e0, )(0e0, 40514722e~11, )(10987012e~11, 0e0, )(31016125e~9, ~10756393e~9, )
aform(2): (~146606905e~8, ~21197939e~7, ) -- (0e0, 13004089e~11, )(49318144e~12, 0e0, )(0e0, 34341865e~11, )(10286556e~11, 0e0, )(31022246e~9, ~10417628e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~156020591e~8, ~20301461e~7, ) -- (0e0, 17417280e~11, )(52625001e~12, 0e0, )(0e0, 64248491e~11, )(17074869e~11, 0e0, )(30848057e~9, ~14125117e~9, )
aform(2): (~149870474e~8, ~20575713e~7, ) -- (0e0, 14716861e~11, )(49927531e~12, 0e0, )(0e0, 54702978e~11, )(15958217e~11, 0e0, )(30859471e~9, ~13728070e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~159137372e~8, ~195932431e~8, ) -- (0e0, 18809533e~11, )(53060000e~12, 0e0, )(0e0, 91404539e~11, )(23613406e~11, 0e0, )(30627352e~9, ~17343997e~9, )
aform(2): (~153034975e~8, ~199298629e~8, ) -- (0e0, 16247559e~11, )(50441171e~12, 0e0, )(0e0, 78341510e~11, )(22035743e~11, 0e0, )(30644970e~9, ~16916741e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~162142133e~8, ~188676011e~8, ) -- (0e0, 19951251e~11, )(53381119e~12, 0e0, )(0e0, 12191273e~10, )(30641556e~11, 0e0, )(30356352e~9, ~20391519e~9, )
aform(2): (~156096940e~8, ~192632554e~8, ) -- (0e0, 17572889e~11, )(50854548e~12, 0e0, )(0e0, 10522067e~10, )(28557833e~11, 0e0, )(30380646e~9, ~19961670e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~165032411e~8, ~181278338e~8, ) -- (0e0, 20830505e~11, )(53585556e~12, 0e0, )(0e0, 33772182e~11, )(38196310e~11, 0e0, )(0e0, 12191273e~10, )(30037734e~9, ~23248905e~9, )
aform(2): (~159053358e~8, ~185788480e~8, ) -- (0e0, 18674937e~11, )(51164032e~12, 0e0, )(0e0, 30062553e~11, )(35561999e~11, 0e0, )(0e0, 10522067e~10, )(30068745e~9, ~22843052e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~167806256e~8, ~173772364e~8, ) -- (0e0, 21442148e~11, )(53671755e~12, 0e0, )(0e0, 70706716e~11, )(46312985e~11, 0e0, )(0e0, 12191273e~10, )(29674470e~9, ~25900362e~9, )
aform(2): (~161901684e~8, ~178796503e~8, ) -- (0e0, 19541549e~11, )(51366988e~12, 0e0, )(0e0, 63234545e~11, )(43084003e~11, 0e0, )(0e0, 10522067e~10, )(29711822e~9, ~25543544e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~170462231e~8, ~166190603e~8, ) -- (0e0, 21787617e~11, )(53639473e~12, 0e0, )(0e0, 11069377e~10, )(55024893e~11, 0e0, )(0e0, 12191273e~10, )(29269777e~9, ~28333240e~9, )
aform(2): (~164639842e~8, ~171686865e~8, ) -- (0e0, 20166474e~11, )(51461864e~12, 0e0, )(0e0, 99429252e~11, )(51158194e~11, 0e0, )(0e0, 10522067e~10, )(29312704e~9, ~28048490e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~172999399e~8, ~158564755e~8, ) -- (0e0, 21874489e~11, )(53489816e~12, 0e0, )(0e0, 42926637e~11, )(64363774e~11, 0e0, )(0e0, 11069377e~10, )(0e0, 12191273e~10, )(28827070e~9, ~30538116e~9, )
aform(2): (~167266230e~8, ~164489594e~8, ) -- (0e0, 20549269e~11, )(51448250e~12, 0e0, )(0e0, 13855166e~10, )(59817228e~11, 0e0, )(0e0, 10522067e~10, )(28874446e~9, ~30346079e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~175417310e~8, ~150925375e~8, ) -- (0e0, 21715830e~11, )(53225233e~12, 0e0, )(0e0, 19937545e~10, )(74359835e~11, 0e0, )(0e0, 12191273e~10, )(28349912e~9, ~32508786e~9, )
aform(2): (~169779708e~8, ~157234163e~8, ) -- (0e0, 20694991e~11, )(51326921e~12, 0e0, )(0e0, 14717169e~10, )(69092082e~11, 0e0, )(0e0, 13855166e~10, )(28400289e~9, ~32427423e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~177715981e~8, ~143301572e~8, ) -- (0e0, 21329377e~11, )(52849485e~12, 0e0, )(0e0, 42008072e~11, )(81926557e~11, 0e0, )(31152414e~12, 19290471e~10, )(0e0, 12191273e~10, )(27841962e~9, ~34242185e~9, )
aform(2): (~172179593e~8, ~149949176e~8, ) -- (0e0, 20613691e~11, )(51099836e~12, 0e0, )(0e0, 44681238e~11, )(79012654e~11, 0e0, )(0e0, 14717169e~10, )(0e0, 13855166e~10, )(27893610e~9, ~34286568e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~179895870e~8, ~135720762e~8, ) -- (0e0, 20724030e~11, )(52329024e~12, 0e0, )(0e0, 20777019e~10, )(90106084e~11, 0e0, )(61293775e~12, 18610271e~10, )(27306928e~9, ~35738236e~9, )
aform(2): (~174465635e~8, ~142662089e~8, ) -- (0e0, 20319770e~11, )(50770122e~12, 0e0, )(0e0, 91998788e~11, )(89607314e~11, 0e0, )(0e0, 14717169e~10, )(0e0, 13855166e~10, )(27357883e~9, ~35920434e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~181957846e~8, ~128208465e~8, ) -- (0e0, 19937267e~11, )(51701096e~12, 0e0, )(0e0, 38313365e~11, )(95662824e~11, 0e0, )(32464093e~12, 20051040e~10, )(90372323e~12, 17903657e~10, )(26748518e~9, ~36999646e~9, )
aform(2): (~176638008e~8, ~135398965e~8, ) -- (0e0, 19831213e~11, )(50342014e~12, 0e0, )(0e0, 14186721e~10, )(10090375e~10, 0e0, )(0e0, 14717169e~10, )(0e0, 13855166e~10, )(26796626e~9, ~37328688e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~183903166e~8, ~120788143e~8, ) -- (0e0, 18984113e~11, )(50927048e~12, 0e0, )(0e0, 77447248e~11, )(10174312e~10, 0e0, )(63793843e~12, 19298312e~10, )(11834678e~11, 17177201e~10, )(26170399e~9, ~38031647e~9, )
aform(2): (~178697275e~8, ~128184271e~8, ) -- (0e0, 19168769e~11, )(49820782e~12, 0e0, )(0e0, 47470553e~11, )(11062943e~10, 0e0, )(0e0, 14186721e~10, )(22995577e~12, 14229640e~10, )(0e0, 13855166e~10, )(26213365e~9, ~38513579e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~185733431e~8, ~113481098e~8, ) -- (0e0, 17904332e~11, )(50053275e~12, 0e0, )(0e0, 11729527e~10, )(10834264e~10, 0e0, )(93947457e~12, 18525790e~10, )(14518616e~11, 16437233e~10, )(25576154e~9, ~38841708e~9, )
aform(2): (~180644372e~8, ~121040714e~8, ) -- (0e0, 18347098e~11, )(49183359e~12, 0e0, )(0e0, 49522719e~10, )(12555727e~10, 0e0, )(25611591e~9, ~39479708e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~187450561e~8, ~106306398e~8, ) -- (0e0, 16725436e~11, )(49088870e~12, 0e0, )(0e0, 14880331e~10, )(11546054e~10, 0e0, )(12289400e~11, 17740130e~10, )(17086934e~11, 15689761e~10, )(24969253e~9, ~39439222e~9, )
aform(2): (~182480573e~8, ~113989118e~8, ) -- (0e0, 17384559e~11, )(48401735e~12, 0e0, )(0e0, 38149767e~11, )(13076236e~10, 0e0, )(77379249e~12, 47771442e~10, )(24994720e~9, ~40233781e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~189056754e~8, ~99280860e~8, ) -- (0e0, 15469712e~11, )(48013118e~12, 0e0, )(0e0, 34860526e~11, )(12063082e~10, 0e0, )(23250517e~12, 14295866e~10, )(15061296e~11, 16947608e~10, )(19538459e~11, 14940400e~10, )(24353015e~9, ~39835183e~9, )
aform(2): (~184207461e~8, ~107048343e~8, ) -- (0e0, 16318004e~11, )(47518750e~12, 0e0, )(0e0, 76650214e~11, )(13647028e~10, 0e0, )(15202212e~11, 45969936e~10, )(24366067e~9, ~40784335e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~190554456e~8, ~92419055e~8, ) -- (0e0, 14166796e~11, )(46853890e~12, 0e0, )(0e0, 20670130e~10, )(13077740e~10, 0e0, )(17709359e~11, 16154055e~10, )(21872897e~11, 14194326e~10, )(23730590e~9, ~40041860e~9, )
aform(2): (~185826901e~8, ~100235235e~8, ) -- (0e0, 15175024e~11, )(46555087e~12, 0e0, )(0e0, 10970724e~10, )(14267486e~10, 0e0, )(22385015e~11, 44133487e~10, )(23728812e~9, ~41141442e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~191946320e~8, ~85733359e~8, ) -- (0e0, 12841381e~11, )(45629468e~12, 0e0, )(0e0, 16673816e~10, )(15977494e~10, 0e0, )(32297079e~12, 19820362e~10, )(20233431e~11, 15364815e~10, )(23104936e~9, ~40072480e~9, )
aform(2): (~187341001e~8, ~93564618e~8, ) -- (0e0, 13976378e~11, )(45500951e~12, 0e0, )(0e0, 14010695e~10, )(14928172e~10, 0e0, )(29280872e~11, 42276546e~10, )(23085977e~9, ~41316420e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~193235178e~8, ~79234024e~8, ) -- (0e0, 11547819e~11, )(44332433e~12, 0e0, )(0e0, 21367782e~11, )(47636305e~12, 0e0, )(26052838e~12, 15974469e~10, )(15977494e~10, ~10713011e~11, )(63266396e~12, 18967385e~10, )(22634183e~11, 14584705e~10, )(22478803e~9, ~39940929e~9, )
aform(2): (~188752089e~8, ~87049313e~8, ) -- (0e0, 12746183e~11, )(44373684e~12, 0e0, )(0e0, 15727952e~10, )(69576665e~12, 0e0, )(14928172e~10, ~10509662e~11, )(35886583e~11, 40412593e~10, )(22440408e~9, ~41321546e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~194424007e~8, ~72929275e~8, ) -- (0e0, 11630078e~11, )(42991696e~12, 0e0, )(0e0, 18057217e~10, )(34624284e~11, 0e0, )(51012947e~12, 15275528e~10, )(15960755e~10, ~20396483e~11, )(92902936e~12, 18116971e~10, )(21854726e~9, ~39661471e~9, )
aform(2): (~190062676e~8, ~80700183e~8, ) -- (0e0, 11504995e~11, )(43182185e~12, 0e0, )(0e0, 21664090e~11, )(11594255e~11, 0e0, )(24574925e~12, 15098161e~10, )(14911751e~10, ~20086383e~11, )(42201050e~11, 38554025e~10, )(21794759e~9, ~41169776e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~195515894e~8, ~66825425e~8, ) -- (0e0, 11657870e~11, )(41614928e~12, 0e0, )(0e0, 21740109e~11, )(39105191e~11, 0e0, )(28214403e~12, 17272837e~10, )(74880961e~12, 14581406e~10, )(15928885e~10, ~29076568e~11, )(12121070e~11, 17274314e~10, )(21235016e~9, ~39248496e~9, )
aform(2): (~191275429e~8, ~74526205e~8, ) -- (0e0, 10382099e~11, )(41933782e~12, 0e0, )(0e0, 18763774e~10, )(21247413e~11, 0e0, )(14880366e~10, ~28743881e~11, )(48225117e~11, 36712094e~10, )(21151481e~9, ~40874488e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~196514016e~8, ~60927007e~8, ) -- (0e0, 11634404e~11, )(40210174e~12, 0e0, )(0e0, 44354399e~11, )(43788548e~11, 0e0, )(55203212e~12, 16495111e~10, )(97664408e~12, 13896036e~10, )(15883453e~10, ~36786749e~11, )(14820182e~11, 16444021e~10, )(20621758e~9, ~38716298e~9, )
aform(2): (~192393139e~8, ~68534560e~8, ) -- (0e0, 10460638e~11, )(40643479e~12, 0e0, )(0e0, 19561654e~11, )(25603072e~11, 0e0, )(29318396e~12, 17984306e~10, )(14835454e~10, ~36503639e~11, )(53961382e~11, 34896854e~10, )(20512817e~9, ~40449244e~9, )
ML_statistics = :now=1464100488.78tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=988size_allocation=2495610880size_allocation_free=1696648552size_heap=6286258176size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2496307440threads_in_ML=1threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1845.5time_GC=110.66user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~197421603e~8, ~55236906e~8, ) -- (0e0, 11563685e~11, )(38788874e~12, 0e0, )(0e0, 20005478e~10, )(60622106e~11, 0e0, )(80976823e~12, 15728247e~10, )(15825974e~10, ~43566509e~11, )(17389560e~11, 15630116e~10, )(20016816e~9, ~38078880e~9, )
aform(2): (~193418698e~8, ~62730733e~8, ) -- (0e0, 10489350e~11, )(39314575e~12, 0e0, )(0e0, 39951365e~11, )(30136612e~11, 0e0, )(57418876e~12, 17208507e~10, )(14778417e~10, ~43393759e~11, )(59414015e~11, 33117156e~10, )(19880798e~9, ~39907579e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~198241921e~8, ~49756511e~8, ) -- (0e0, 11449974e~11, )(37360501e~12, 0e0, )(0e0, 21839785e~11, )(64681727e~11, 0e0, )(31258560e~12, 19099752e~10, )(10555221e~11, 14975921e~10, )(15757901e~10, ~49460067e~11, )(19831766e~11, 14836048e~10, )(19421834e~9, ~37349797e~9, )
aform(2): (~194355072e~8, ~57118631e~8, ) -- (0e0, 10471939e~11, )(37966204e~12, 0e0, )(0e0, 61148638e~11, )(34856293e~11, 0e0, )(84307168e~12, 16440734e~10, )(14710614e~10, ~49447826e~11, )(64588571e~11, 31380658e~10, )(19257242e~9, ~39262811e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~198978247e~8, ~44485855e~8, ) -- (0e0, 11294394e~11, )(35914768e~12, 0e0, )(0e0, 44275649e~11, )(68937948e~11, 0e0, )(61101924e~12, 18210827e~10, )(12895208e~11, 14241279e~10, )(15680620e~10, ~54515193e~11, )(22149898e~11, 14064721e~10, )(18838243e~9, ~36542019e~9, )
aform(2): (~195205274e~8, ~51700706e~8, ) -- (0e0, 10412065e~11, )(36607418e~12, 0e0, )(0e0, 83137659e~11, )(39771997e~11, 0e0, )(10999581e~11, 15684840e~10, )(14633352e~10, ~54703826e~11, )(69491799e~11, 29693853e~10, )(18643761e~9, ~38527892e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~199633848e~8, ~39423767e~8, ) -- (0e0, 11103830e~11, )(34477170e~12, 0e0, )(0e0, 67297967e~11, )(73397795e~11, 0e0, )(89556341e~12, 17342345e~10, )(15120408e~11, 13526971e~10, )(15595440e~10, ~58782128e~11, )(24347511e~11, 13318517e~10, )(18267274e~9, ~35667831e~9, )
aform(2): (~195972348e~8, ~46478083e~8, ) -- (0e0, 10313654e~11, )(35246654e~12, 0e0, )(0e0, 10590706e~10, )(44894473e~11, 0e0, )(13450338e~11, 14944175e~10, )(14547877e~10, ~59203120e~11, )(74131463e~11, 28062124e~10, )(18041762e~9, ~37715271e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~20021197e~7, ~34568011e~8, ) -- (0e0, 10882911e~11, )(33055054e~12, 0e0, )(0e0, 22042799e~10, )(10541755e~10, 0e0, )(11665375e~11, 16497368e~10, )(17233997e~11, 12835173e~10, )(15595440e~10, ~58782128e~11, )(17709964e~9, ~34738762e~9, )
aform(2): (~196659343e~8, ~41450687e~8, ) -- (0e0, 10180794e~11, )(33891670e~12, 0e0, )(0e0, 12383546e~10, )(51160212e~11, 0e0, )(15785365e~11, 14221606e~10, )(14547877e~10, ~59203120e~11, )(78516170e~11, 26489804e~10, )(17452461e~9, ~36836792e~9, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~197269302e~8, ~36617373e~8, ) -- (0e0, 10015998e~11, )(32520822e~12, 0e0, )(0e0, 14015943e~10, )(57568515e~11, 0e0, )(18007491e~11, 13519537e~10, )(14547877e~10, ~59203120e~11, )(82655202e~11, 24980248e~10, )(16876886e~9, ~35903615e~9, )
aform(2): (~20021197e~7, ~34568011e~8, ) -- (0e0, 10882911e~11, )(33055054e~12, 0e0, )(0e0, 22042799e~10, )(10541755e~10, 0e0, )(11665375e~11, 16497368e~10, )(17233997e~11, 12835173e~10, )(15595440e~10, ~58782128e~11, )(17709964e~9, ~34738762e~9, )
=XS: 2 PS: 1 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~20047285e~7, ~32216673e~8, ) -- (0e0, 23033490e~12, )(66197249e~13, 0e0, )(0e0, 14245017e~10, )(12750424e~10, 0e0, )(17220936e~12, 21524710e~10, )(12954232e~11, 16087889e~10, )(15595440e~10, ~58782128e~11, )(17438567e~9, ~34252144e~9, )
aform(2): (~197269302e~8, ~36617373e~8, ) -- (0e0, 10015998e~11, )(32520822e~12, 0e0, )(0e0, 14015943e~10, )(57568515e~11, 0e0, )(18007491e~11, 13519537e~10, )(14547877e~10, ~59203120e~11, )(82655202e~11, 24980248e~10, )(16876886e~9, ~35903615e~9, )
=XS: 2 PS: 2 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~197546223e~8, ~34272956e~8, ) -- (0e0, 21267053e~12, )(65328908e~13, 0e0, )(0e0, 15544696e~11, )(61361416e~11, 0e0, )(10949955e~12, 13699323e~10, )(19063705e~11, 13179738e~10, )(14547877e~10, ~59203120e~11, )(84606784e~11, 24258080e~10, )(16596389e~9, ~35414888e~9, )
aform(2): (~20071557e~7, ~29915681e~8, ) -- (0e0, 22751378e~12, )(64749154e~13, 0e0, )(0e0, 64559013e~12, )(11392571e~12, 0e0, )(11128920e~12, 13909042e~10, )(12750424e~10, ~22828377e~12, )(34037116e~12, 21013957e~10, )(14211098e~11, 15685256e~10, )(15595440e~10, ~58782128e~11, )(17170973e~9, ~33756512e~9, )
=XS: 2 PS: 4 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~197805015e~8, ~31976224e~8, ) -- (0e0, 21040154e~12, )(63927514e~13, 0e0, )(0e0, 23176012e~11, )(62615374e~11, 0e0, )(21652552e~12, 13386672e~10, )(20093372e~11, 12845822e~10, )(14547877e~10, ~59203120e~11, )(86501947e~11, 23552415e~10, )(16319710e~9, ~34917072e~9, )
aform(2): (~20094049e~7, ~27664515e~8, ) -- (0e0, 22457299e~12, )(63311792e~13, 0e0, )(0e0, 15010163e~11, )(23320864e~12, 0e0, )(21995360e~12, 13578020e~10, )(12750424e~10, ~22828377e~12, )(50454270e~12, 20510882e~10, )(15436509e~11, 15289684e~10, )(15595440e~10, ~58782128e~11, )(16907250e~9, ~33253030e~9, )
=XS: 2 PS: 6 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 2
aform(2): (~198046048e~8, ~29726786e~8, ) -- (0e0, 20800752e~12, )(62537024e~13, 0e0, )(0e0, 15594301e~10, )(85011634e~11, 0e0, )(32110890e~12, 13078222e~10, )(14547877e~10, ~59203120e~11, )(88341979e~11, 22863403e~10, )(16046921e~9, ~34411306e~9, )
aform(2): (~20114803e~7, ~25462614e~8, ) -- (0e0, 22152360e~12, )(61886718e~13, 0e0, )(0e0, 23487490e~11, )(35771566e~12, 0e0, )(32603188e~12, 13252156e~10, )(12750424e~10, ~22828377e~12, )(66478398e~12, 20015792e~10, )(16631016e~11, 14901360e~10, )(15595440e~10, ~58782128e~11, )(16647461e~9, ~32742807e~9, )
=XS: 2 PS: 8 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 1
aform(2): (~198269690e~8, ~27524207e~8, ) -- (0e0, 20549881e~12, )(61158741e~13, 0e0, )(0e0, 72017765e~12, )(86115817e~11, 0e0, )(12183047e~12, 15238285e~10, )(42328251e~12, 12774185e~10, )(14547877e~10, ~59203120e~11, )(90128182e~11, 22191153e~10, )(15778082e~9, ~33898680e~9, )
=XS: 1 PS: 9 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 1
aform(2): (~198476306e~8, ~25368010e~8, ) -- (0e0, 20287172e~12, )(59787459e~13, 0e0, )(0e0, 14334464e~11, )(87262268e~11, 0e0, )(24087958e~12, 14887351e~10, )(52308084e~12, 12474752e~10, )(14547877e~10, ~59203120e~11, )(91861866e~11, 21535731e~10, )(15513249e~9, ~33380235e~9, )
=XS: 1 PS: 10 RS: 0 Flowing towards: (0e0, ~1e0, ) -- 28963192e~8
=XS above: 0
= Collecting: 10aforms ... = Collected to  2 aforms!
aform(2): (~20140005e~7, ~28963193e~8, ) -- (19558637e~9, 0e0, )
aform(2): (~197488320e~8, ~28963193e~8, ) -- (19558637e~9, 0e0, )
= Ys: 1 Rss: 0= Groups: 1
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20140005e~7, ~28963193e~8, ) -- (19558637e~9, 0e0, )
aform(2): (~197488320e~8, ~28963193e~8, ) -- (19558637e~9, 0e0, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20181801e~7, ~24532505e~8, ) -- (0e0, 67162422e~12, )(14419922e~12, 0e0, )(0e0, 17312981e~13, )(19230328e~17, 0e0, )(19558637e~9, ~66213252e~11, )
aform(2): (~197907245e~8, ~24656079e~8, ) -- (0e0, 61587670e~12, )(13684443e~12, 0e0, )(0e0, 17313060e~13, )(88394119e~17, 0e0, )(19558637e~9, ~65520777e~11, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20216828e~7, ~20297792e~8, ) -- (0e0, 64868118e~12, )(13810007e~12, 0e0, )(0e0, 75025503e~12, )(15497938e~12, 0e0, )(19548291e~9, ~12385580e~10, )
aform(2): (~198260279e~8, ~20529124e~8, ) -- (0e0, 59604656e~12, )(13127920e~12, 0e0, )(0e0, 68977068e~12, )(14675282e~12, 0e0, )(19548399e~9, ~12291970e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20245386e~7, ~16253605e~8, ) -- (0e0, 62526263e~12, )(13202903e~12, 0e0, )(0e0, 15040434e~11, )(31494561e~12, 0e0, )(19528938e~9, ~17349356e~10, )
aform(2): (~198550201e~8, ~16577917e~8, ) -- (0e0, 57573135e~12, )(12572509e~12, 0e0, )(0e0, 13814209e~11, )(29813205e~12, 0e0, )(19529193e~9, ~17269907e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20267770e~7, ~12394065e~8, ) -- (0e0, 60151934e~12, )(12601094e~12, 0e0, )(0e0, 22779518e~11, )(48026089e~12, 0e0, )(19501830e~9, ~21568919e~10, )
aform(2): (~198779721e~8, ~12797608e~8, ) -- (0e0, 55505925e~12, )(12020479e~12, 0e0, )(0e0, 20914962e~11, )(45444485e~12, 0e0, )(19502209e~9, ~21536199e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20284262e~7, ~87129630e~9, ) -- (0e0, 57759391e~12, )(12006805e~12, 0e0, )(0e0, 30713798e~11, )(65128124e~12, 0e0, )(19468129e~9, ~25099592e~10, )
aform(2): (~198951467e~8, ~91829961e~9, ) -- (0e0, 53415261e~12, )(11473877e~12, 0e0, )(0e0, 28193255e~11, )(61600388e~12, 0e0, )(19468558e~9, ~25140653e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20295137e~7, ~52038473e~9, ) -- (0e0, 55361922e~12, )(11421996e~12, 0e0, )(0e0, 35849185e~11, )(82837099e~12, 0e0, )(19428911e~9, ~27995259e~10, )
aform(2): (~199067986e~8, ~57286090e~9, ) -- (0e0, 51312677e~12, )(10934529e~12, 0e0, )(0e0, 33037126e~11, )(78314218e~12, 0e0, )(19429276e~9, ~28132094e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20300658e~7, ~18600970e~9, ) -- (0e0, 52937206e~12, )(10836367e~12, 0e0, )(0e0, 40517308e~11, )(10072658e~11, 0e0, )(19385168e~9, ~30307960e~10, )
aform(2): (~199131737e~8, ~24287703e~9, ) -- (0e0, 49182169e~12, )(10394098e~12, 0e0, )(0e0, 37471716e~11, )(95213282e~12, 0e0, )(19385320e~9, ~30557976e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20301079e~7, 13250273e~9, ) -- (0e0, 50716783e~12, )(10278023e~12, 0e0, )(0e0, 44725371e~11, )(11872095e~11, 0e0, )(19337812e~9, ~32087579e~10, )
aform(2): (~199145090e~8, 72234821e~10, ) -- (0e0, 47178277e~12, )(98734129e~13, 0e0, )(0e0, 41501125e~11, )(11223119e~11, 0e0, )(19337573e~9, ~32464062e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20296641e~7, 43582848e~9, ) -- (0e0, 48744615e~12, )(97499332e~13, 0e0, )(0e0, 48521641e~11, )(13678123e~11, 0e0, )(19287675e~9, ~33381616e~10, )
aform(2): (~199110325e~8, 37306574e~9, ) -- (0e0, 45402853e~12, )(93810782e~13, 0e0, )(0e0, 45155239e~11, )(12932695e~11, 0e0, )(19286848e~9, ~33894185e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20287578e~7, 72463989e~9, ) -- (0e0, 46949947e~12, )(92430175e~13, 0e0, )(0e0, 51962374e~11, )(15487523e~11, 0e0, )(19235516e~9, ~34235029e~10, )
aform(2): (~199029623e~8, 66020606e~9, ) -- (0e0, 43869233e~12, )(89160452e~13, 0e0, )(0e0, 48492803e~11, )(14647366e~11, 0e0, )(19233888e~9, ~34890066e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20274109e~7, 99960623e~9, ) -- (0e0, 45077045e~12, )(87345065e~13, 0e0, )(0e0, 55072885e~11, )(17297219e~11, 0e0, )(19182024e~9, ~34690133e~10, )
aform(2): (~198905078e~8, 93424832e~9, ) -- (0e0, 42255573e~12, )(84477420e~13, 0e0, )(0e0, 51543608e~11, )(16365275e~11, 0e0, )(19179372e~9, ~35491204e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20256447e~7, 12613875e~8, ) -- (0e0, 43145441e~12, )(82270746e~13, 0e0, )(0e0, 57413446e~11, )(19101714e~11, 0e0, )(19127821e~9, ~34786558e~10, )
aform(2): (~198738689e~8, 11957805e~8, ) -- (0e0, 40579218e~12, )(79787096e~13, 0e0, )(0e0, 54303451e~11, )(18081521e~11, 0e0, )(19123917e~9, ~35734789e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20234793e~7, 15106312e~8, ) -- (0e0, 41167142e~12, )(77212978e~13, 0e0, )(0e0, 59464278e~11, )(20889069e~11, 0e0, )(19073467e~9, ~34561236e~10, )
aform(2): (~198532367e~8, 14453832e~8, ) -- (0e0, 38856096e~12, )(75111759e~13, 0e0, )(0e0, 56771112e~11, )(19791299e~11, 0e0, )(19068082e~9, ~35655678e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20209337e~7, 17479701e~8, ) -- (0e0, 39164187e~12, )(72210904e~13, 0e0, )(0e0, 61625764e~11, )(22654734e~11, 0e0, )(19019465e~9, ~34048441e~10, )
aform(2): (~198287931e~8, 16836265e~8, ) -- (0e0, 37100722e~12, )(70470868e~13, 0e0, )(0e0, 58948012e~11, )(21490256e~11, 0e0, )(19012370e~9, ~35286389e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20180261e~7, 19740197e~8, ) -- (0e0, 37156238e~12, )(67297372e~13, 0e0, )(0e0, 63465664e~11, )(24401092e~11, 0e0, )(18966264e~9, ~33279842e~10, )
aform(2): (~198007112e~8, 19110684e~8, ) -- (0e0, 35326214e~12, )(65881271e~13, 0e0, )(0e0, 60837876e~11, )(23174000e~11, 0e0, )(18957235e~9, ~34657136e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20147736e~7, 21893772e~8, ) -- (0e0, 35150264e~12, )(62469405e~13, 0e0, )(0e0, 45745892e~12, )(25132155e~11, 0e0, )(99165101e~13, 60418887e~11, )(18914264e~9, ~32284589e~10, )
aform(2): (~197691555e~8, 21282526e~8, ) -- (0e0, 33544319e~12, )(61357402e~13, 0e0, )(0e0, 62446397e~11, )(24838623e~11, 0e0, )(18903083e~9, ~33795880e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20111925e~7, 23946196e~8, ) -- (0e0, 33157337e~12, )(57739032e~13, 0e0, )(0e0, 66653424e~11, )(27819041e~11, 0e0, )(18863819e~9, ~31089411e~10, )
aform(2): (~197342822e~8, 23357073e~8, ) -- (0e0, 31765465e~12, )(56911484e~13, 0e0, )(0e0, 63780932e~11, )(26480407e~11, 0e0, )(18850277e~9, ~32728397e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20072982e~7, 25903035e~8, ) -- (0e0, 31240654e~12, )(53285294e~13, 0e0, )(0e0, 40875383e~12, )(28448366e~11, 0e0, )(10414597e~12, 63482288e~11, )(18815242e~9, ~29718729e~10, )
aform(2): (~196962393e~8, 25339443e~8, ) -- (0e0, 29998822e~12, )(52553724e~13, 0e0, )(0e0, 39537934e~12, )(27099237e~11, 0e0, )(99657706e~13, 60896420e~11, )(18799139e~9, ~31478365e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~20031051e~7, 27769645e~8, ) -- (0e0, 29321458e~12, )(52754043e~13, 0e0, )(0e0, 81621235e~12, )(29094020e~11, 0e0, )(20333705e~12, 60478196e~11, )(18768807e~9, ~28194775e~10, )
aform(2): (~196551671e~8, 27234579e~8, ) -- (0e0, 28812041e~12, )(50181027e~13, 0e0, )(0e0, 66019819e~11, )(29681602e~11, 0e0, )(18749954e~9, ~30067461e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~199862702e~8, 29551163e~8, ) -- (0e0, 27488829e~12, )(52186376e~13, 0e0, )(0e0, 69886065e~11, )(32773289e~11, 0e0, )(18724752e~9, ~26537718e~10, )
aform(2): (~196111982e~8, 29047248e~8, ) -- (0e0, 26626562e~12, )(49807488e~13, 0e0, )(0e0, 36324401e~12, )(30228495e~11, 0e0, )(10315596e~12, 63066199e~11, )(18702973e~9, ~28515455e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~199387686e~8, 31252508e~8, ) -- (0e0, 25703550e~12, )(51592515e~13, 0e0, )(0e0, 35437429e~12, )(33338137e~11, 0e0, )(10919697e~12, 66616151e~11, )(18683287e~9, ~24765792e~10, )
aform(2): (~195644577e~8, 30782030e~8, ) -- (0e0, 24997909e~12, )(49370125e~13, 0e0, )(0e0, 72213746e~12, )(30824974e~11, 0e0, )(20169690e~12, 60263979e~11, )(18658418e~9, ~26840323e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~198886676e~8, 32878384e~8, ) -- (0e0, 23954266e~12, )(50936657e~13, 0e0, )(0e0, 70872901e~12, )(33949624e~11, 0e0, )(21328471e~12, 63523176e~11, )(18644591e~9, ~22895423e~10, )
aform(2): (~195150641e~8, 32443326e~8, ) -- (0e0, 23409831e~12, )(48904914e~13, 0e0, )(0e0, 68426860e~11, )(34429227e~11, 0e0, )(18616480e~9, ~25058350e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~198360816e~8, 34433283e~8, ) -- (0e0, 22260251e~12, )(50270444e~13, 0e0, )(0e0, 10630533e~11, )(34607200e~11, 0e0, )(31253967e~12, 60599863e~11, )(18608817e~9, ~20941356e~10, )
aform(2): (~194631287e~8, 34035350e~8, ) -- (0e0, 21866113e~12, )(48419064e~13, 0e0, )(0e0, 31448172e~12, )(34954932e~11, 0e0, )(10691696e~12, 65424228e~11, )(18577326e~9, ~23184243e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~197811181e~8, 35921484e~8, ) -- (0e0, 20624178e~12, )(49600205e~13, 0e0, )(0e0, 72014502e~11, )(39383073e~11, 0e0, )(18576096e~9, ~18916780e~10, )
aform(2): (~194087568e~8, 35562136e~8, ) -- (0e0, 20357875e~12, )(47885116e~13, 0e0, )(0e0, 62847355e~12, )(35522495e~11, 0e0, )(20914232e~12, 62579475e~11, )(18541101e~9, ~21231232e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~197238782e~8, 37347064e~8, ) -- (0e0, 19047965e~12, )(48931544e~13, 0e0, )(0e0, 29310475e~12, )(39911303e~11, 0e0, )(11252266e~12, 68736800e~11, )(18546538e~9, ~16833444e~10, )
aform(2): (~193520472e~8, 37027539e~8, ) -- (0e0, 18899382e~12, )(47343514e~13, 0e0, )(0e0, 94198369e~12, )(36131445e~11, 0e0, )(30692275e~12, 59886325e~11, )(18507927e~9, ~19211179e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~196644568e~8, 38713900e~8, ) -- (0e0, 17515295e~12, )(48221502e~13, 0e0, )(0e0, 58468931e~12, )(40476243e~11, 0e0, )(21992391e~12, 65640888e~11, )(18520236e~9, ~14701774e~10, )
aform(2): (~192930930e~8, 38435237e~8, ) -- (0e0, 17492354e~12, )(46799431e~13, 0e0, )(0e0, 69890386e~11, )(40786558e~11, 0e0, )(18477910e~9, ~17134678e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~196029426e~8, 40025673e~8, ) -- (0e0, 16044676e~12, )(47523243e~13, 0e0, )(0e0, 87482602e~12, )(41077258e~11, 0e0, )(32248780e~12, 62718432e~11, )(18497264e~9, ~12530979e~10, )
aform(2): (~192319815e~8, 39788740e~8, ) -- (0e0, 16137962e~12, )(46257454e~13, 0e0, )(0e0, 26274485e~12, )(41281956e~11, 0e0, )(10920372e~12, 66917604e~11, )(18451137e~9, ~15011151e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~195394190e~8, 41285882e~8, ) -- (0e0, 14636328e~12, )(46840419e~13, 0e0, )(0e0, 11637994e~11, )(41714254e~11, 0e0, )(42048535e~12, 59961287e~11, )(18477685e~9, ~10329156e~10, )
aform(2): (~191687949e~8, 41091389e~8, ) -- (0e0, 14823707e~12, )(45684637e~13, 0e0, )(0e0, 52399656e~12, )(41810812e~11, 0e0, )(21376248e~12, 64104937e~11, )(18427682e~9, ~12848943e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~194739640e~8, 42497843e~8, ) -- (0e0, 13290040e~12, )(46176169e~13, 0e0, )(0e0, 71880727e~11, )(47529143e~11, 0e0, )(18461545e~9, ~81033847e~11, )
aform(2): (~191036102e~8, 42346365e~8, ) -- (0e0, 13563268e~12, )(45122361e~13, 0e0, )(0e0, 78383335e~12, )(42372787e~11, 0e0, )(31392645e~12, 61445342e~11, )(18407605e~9, ~10655408e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~194066506e~8, 43664700e~8, ) -- (0e0, 12005237e~12, )(45533163e~13, 0e0, )(0e0, 22952195e~12, )(48011760e~11, 0e0, )(11231363e~12, 68744534e~11, )(18448884e~9, ~58598206e~11, )
aform(2): (~190364994e~8, 43556695e~8, ) -- (0e0, 12356571e~12, )(44573655e~13, 0e0, )(0e0, 69356836e~11, )(47067067e~11, 0e0, )(18390956e~9, ~84369903e~11, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~193375468e~8, 44789433e~8, ) -- (0e0, 10764299e~12, )(44868626e~13, 0e0, )(0e0, 45689276e~12, )(48521737e~11, 0e0, )(21972697e~12, 65785479e~11, )(18439728e~9, ~36037761e~11, )
aform(2): (~189675301e~8, 44725253e~8, ) -- (0e0, 11203228e~12, )(44041124e~13, 0e0, )(0e0, 21920752e~12, )(47532122e~11, 0e0, )(10837005e~12, 66513332e~11, )(18377773e~9, ~61993091e~11, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~192667163e~8, 45874865e~8, ) -- (0e0, 95832600e~13, )(44230571e~13, 0e0, )(0e0, 68223241e~12, )(49058663e~11, 0e0, )(32251678e~12, 62994787e~11, )(18434097e~9, ~13398003e~11, )
aform(2): (~188967653e~8, 45854774e~8, ) -- (0e0, 10092303e~12, )(43498483e~13, 0e0, )(0e0, 43660046e~12, )(48024299e~11, 0e0, )(21229713e~12, 63825444e~11, )(18368087e~9, ~39472234e~11, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~191942184e~8, 46923668e~8, ) -- (0e0, 84607834e~13, )(43620432e~13, 0e0, )(0e0, 90584515e~12, )(49622580e~11, 0e0, )(42094613e~12, 60364008e~11, )(18432004e~9, 92824892e~12, )
aform(2): (~188242642e~8, 46947855e~8, ) -- (0e0, 90334790e~13, )(42976915e~13, 0e0, )(0e0, 65231427e~12, )(48543361e~11, 0e0, )(31202439e~12, 61285893e~11, )(18361919e~9, ~16849039e~11, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~191201084e~8, 47938373e~8, ) -- (0e0, 84666266e~13, )(43679715e~13, 0e0, )(0e0, 69186714e~11, )(55366218e~11, 0e0, )(18433454e~9, 31971380e~11, )
aform(2): (~187500816e~8, 48006959e~8, ) -- (0e0, 80257031e~13, )(42477949e~13, 0e0, )(0e0, 67553691e~11, )(53167072e~11, 0e0, )(18359287e~9, 58410518e~12, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~190444377e~8, 48921374e~8, ) -- (0e0, 89568822e~13, )(44675137e~13, 0e0, )(0e0, 19947658e~12, )(55816262e~11, 0e0, )(10810424e~12, 66315698e~11, )(18438449e~9, 54641974e~11, )
aform(2): (~186742689e~8, 49034428e~8, ) -- (0e0, 75165118e~13, )(42380440e~13, 0e0, )(0e0, 18546250e~12, )(53604482e~11, 0e0, )(10555264e~12, 64898350e~11, )(18360199e~9, 28568277e~11, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~189672540e~8, 49874938e~8, ) -- (0e0, 94169836e~13, )(45641859e~13, 0e0, )(0e0, 41852095e~12, )(56308198e~11, 0e0, )(21172252e~12, 63608326e~11, )(18446987e~9, 77272645e~11, )
aform(2): (~185968738e~8, 50032485e~8, ) -- (0e0, 79734136e~13, )(43358942e~13, 0e0, )(0e0, 37899845e~12, )(54069041e~11, 0e0, )(20695631e~12, 62389865e~11, )(18364663e~9, 51308025e~11, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~188886018e~8, 50801209e~8, ) -- (0e0, 98594584e~13, )(46610641e~13, 0e0, )(0e0, 65741248e~12, )(56844790e~11, 0e0, )(31111053e~12, 61056164e~11, )(18459061e~9, 99846330e~11, )
aform(2): (~185179405e~8, 51003238e~8, ) -- (0e0, 84128345e~13, )(44337374e~13, 0e0, )(0e0, 59076301e~12, )(54574363e~11, 0e0, )(30444048e~12, 60021117e~11, )(18372680e~9, 74040342e~11, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~188085219e~8, 51702218e~8, ) -- (0e0, 10284591e~12, )(47579774e~13, 0e0, )(0e0, 67816611e~11, )(61494151e~11, 0e0, )(18474662e~9, 12235005e~10, )
aform(2): (~184375102e~8, 51948691e~8, ) -- (0e0, 88350593e~13, )(45314129e~13, 0e0, )(0e0, 65996094e~11, )(59105436e~11, 0e0, )(18384249e~9, 96749479e~11, )
ML_statistics = :now=1464100489.29tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=988size_allocation=2495610880size_allocation_free=1292101328size_heap=6286258176size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2496307440threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1846.296time_GC=110.66user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~187270525e~8, 52579886e~8, ) -- (0e0, 10692705e~12, )(48547767e~13, 0e0, )(0e0, 15865106e~12, )(49193871e~13, 0e0, )(10596345e~12, 65127677e~11, )(61494151e~11, 90788871e~13, )(18493779e~9, 14477453e~10, )
aform(2): (~183556209e~8, 52870744e~8, ) -- (0e0, 92404056e~13, )(46287797e~13, 0e0, )(0e0, 22409748e~12, )(59572469e~11, 0e0, )(10311889e~12, 63521841e~11, )(18399366e~9, 11942348e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~186442286e~8, 53436034e~8, ) -- (0e0, 11075344e~12, )(49489902e~13, 0e0, )(0e0, 33154398e~12, )(10189802e~12, 0e0, )(20772545e~12, 62592528e~11, )(61508337e~11, 18037041e~12, )(18516400e~9, 16711373e~10, )
aform(2): (~182723077e~8, 53771204e~8, ) -- (0e0, 96223472e~13, )(47238394e~13, 0e0, )(0e0, 37915461e~12, )(51238206e~13, 0e0, )(59572469e~11, 87585557e~13, )(20237177e~12, 61185415e~11, )(18418026e~9, 14205380e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~185600823e~8, 54272386e~8, ) -- (0e0, 11441177e~12, )(50427024e~13, 0e0, )(0e0, 51891715e~12, )(15830763e~12, 0e0, )(30552627e~12, 60203124e~11, )(61536520e~11, 26878264e~12, )(18542512e~9, 18936458e~10, )
aform(2): (~181876032e~8, 54651786e~8, ) -- (0e0, 99883914e~13, )(48184288e~13, 0e0, )(0e0, 66197559e~11, )(63625022e~11, 0e0, )(18440222e~9, 16463500e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~184746435e~8, 55090575e~8, ) -- (0e0, 11790618e~12, )(51358188e~13, 0e0, )(0e0, 65162689e~11, )(61823010e~12, 0e0, )(61578517e~11, 35606989e~12, )(18572100e~9, 21152663e~10, )
aform(2): (~181015370e~8, 55514120e~8, ) -- (0e0, 10338221e~12, )(49122615e~13, 0e0, )(0e0, 16059932e~12, )(49747630e~13, 0e0, )(10343368e~12, 63810424e~11, )(63625022e~11, 98218145e~13, )(18465946e~9, 18716436e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~183879392e~8, 55892152e~8, ) -- (0e0, 12124101e~12, )(52282587e~13, 0e0, )(0e0, 19654914e~12, )(67143407e~12, 0e0, )(10181670e~12, 62705725e~11, )(61634153e~11, 44228190e~12, )(18605151e~9, 23360175e~10, )
aform(2): (~180141364e~8, 56359757e~8, ) -- (0e0, 10668005e~12, )(50041040e~13, 0e0, )(0e0, 33434035e~12, )(10299599e~12, 0e0, )(20313747e~12, 61556831e~11, )(63640369e~11, 19511080e~12, )(18495190e~9, 20964169e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~182999943e~8, 56678586e~8, ) -- (0e0, 12435801e~12, )(53182883e~13, 0e0, )(0e0, 64469326e~11, )(92848574e~12, 0e0, )(61703260e~11, 52747307e~12, )(18641651e~9, 25559391e~10, )
aform(2): (~179254264e~8, 57190173e~8, ) -- (0e0, 10982569e~12, )(50950800e~13, 0e0, )(0e0, 64644354e~11, )(45925617e~12, 0e0, )(63670855e~11, 29074178e~12, )(18527947e~9, 23206899e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~182108314e~8, 57451272e~8, ) -- (0e0, 12732725e~12, )(54075818e~13, 0e0, )(0e0, 21492935e~12, )(98361616e~12, 0e0, )(10073332e~12, 62103203e~11, )(61785677e~11, 61170178e~12, )(18681588e~9, 27750893e~10, )
aform(2): (~178354297e~8, 58006772e~8, ) -- (0e0, 11282358e~12, )(51851325e~13, 0e0, )(0e0, 18753761e~12, )(51193017e~12, 0e0, )(10100680e~12, 62408862e~11, )(63716283e~11, 38517901e~12, )(18564208e~9, 25445030e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~181204708e~8, 58211538e~8, ) -- (0e0, 13011964e~12, )(54951953e~13, 0e0, )(0e0, 64322416e~11, )(12408158e~11, 0e0, )(61881256e~11, 69502980e~12, )(18724949e~9, 29935429e~10, )
aform(2): (~177441668e~8, 58810894e~8, ) -- (0e0, 11564087e~12, )(52732005e~13, 0e0, )(0e0, 64185111e~11, )(76700023e~12, 0e0, )(63776467e~11, 47849386e~12, )(18603966e~9, 27679143e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~180289310e~8, 58960642e~8, ) -- (0e0, 13277495e~12, )(55820142e~13, 0e0, )(0e0, 23295727e~12, )(12978037e~11, 0e0, )(10050377e~12, 62027398e~11, )(61989854e~11, 77752179e~12, )(18771723e~9, 32113893e~10, )
aform(2): (~176516562e~8, 59603813e~8, ) -- (0e0, 11832127e~12, )(53602992e~13, 0e0, )(0e0, 20513932e~12, )(82154103e~12, 0e0, )(10028923e~12, 62030342e~11, )(63851232e~11, 57076063e~12, )(18647214e~9, 29909981e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~179362285e~8, 59699787e~8, ) -- (0e0, 13526307e~12, )(56670807e~13, 0e0, )(0e0, 64676454e~11, )(15567634e~11, 0e0, )(62111342e~11, 85924478e~12, )(18821901e~9, 34287311e~10, )
aform(2): (~175579144e~8, 60386750e~8, ) -- (0e0, 12084303e~12, )(54456810e~13, 0e0, )(0e0, 64237264e~11, )(10774163e~11, 0e0, )(63940413e~11, 66205609e~12, )(18693949e~9, 32138434e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~178423780e~8, 60430115e~8, ) -- (0e0, 13762490e~12, )(57513214e~13, 0e0, )(0e0, 25070614e~12, )(16155488e~11, 0e0, )(10105696e~12, 62435938e~11, )(62245599e~11, 94026786e~12, )(18875475e~9, 36456825e~10, )
aform(2): (~174629562e~8, 61160867e~8, ) -- (0e0, 12323835e~12, )(55300576e~13, 0e0, )(0e0, 22248934e~12, )(11337669e~11, 0e0, )(10037072e~12, 62146739e~11, )(64043860e~11, 75245901e~12, )(18744165e~9, 34365518e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~177473924e~8, 61152717e~8, ) -- (0e0, 13982958e~12, )(58337698e~13, 0e0, )(0e0, 66297343e~11, )(18924408e~11, 0e0, )(62245599e~11, 94026786e~12, )(18932438e~9, 38623680e~10, )
aform(2): (~173667945e~8, 61927279e~8, ) -- (0e0, 12548469e~12, )(56126721e~13, 0e0, )(0e0, 64763662e~11, )(13919504e~11, 0e0, )(64161431e~11, 84204989e~12, )(18797861e~9, 36592370e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 2
aform(2): (~176512829e~8, 61868634e~8, ) -- (0e0, 14191869e~12, )(59153797e~13, 0e0, )(0e0, 26851231e~12, )(19529684e~11, 0e0, )(10358959e~12, 64070478e~11, )(62392515e~11, 10225364e~11, )(18992788e~9, 40789216e~10, )
aform(2): (~172694404e~8, 62687052e~8, ) -- (0e0, 12761502e~12, )(56942628e~13, 0e0, )(0e0, 23966088e~12, )(14500418e~11, 0e0, )(10119322e~12, 62723551e~11, )(64293002e~11, 93091057e~12, )(18855037e~9, 38820229e~10, )
=XS: 1 PS: 0 RS: 1 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 1
aform(2): (~171709036e~8, 63441208e~8, ) -- (0e0, 12960628e~12, )(57740684e~13, 0e0, )(0e0, 65733603e~11, )(17119301e~11, 0e0, )(64438456e~11, 10191240e~11, )(18915693e~9, 41050432e~10, )
=XS: 1 PS: 0 RS: 1 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 1
aform(2): (~170711920e~8, 64190730e~8, ) -- (0e0, 13149186e~12, )(58528427e~13, 0e0, )(0e0, 25671048e~12, )(17717047e~11, 0e0, )(10270875e~12, 63732426e~11, )(64597694e~11, 11067741e~11, )(18979834e~9, 43284400e~10, )
=XS: 1 PS: 0 RS: 1 Flowing towards: (0e0, ~1e0, ) -- ~171036808e~8
=XS above: 1
aform(2): (~169703121e~8, 64936562e~8, ) -- (0e0, 13324834e~12, )(59298238e~13, 0e0, )(0e0, 67122156e~11, )(20385982e~11, 0e0, )(64770628e~11, 11939455e~11, )(19047466e~9, 45523633e~10, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 2 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- 166683224e~8
=XS above: 2
aform(2): (~175540592e~8, 62578862e~8, ) -- (0e0, 14386086e~12, )(59951813e~13, 0e0, )(0e0, 67498866e~11, )(22222385e~11, 0e0, )(62552287e~11, 11041720e~11, )(19056521e~9, 42954855e~10, )
aform(2): (~168682691e~8, 65679613e~8, ) -- (0e0, 13490931e~12, )(60057712e~13, 0e0, )(0e0, 27370541e~12, )(20999796e~11, 0e0, )(10487836e~12, 65150532e~11, )(64957182e~11, 12807234e~11, )(19118597e~9, 47769705e~10, )
=XS: 2 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- 166683224e~8
=XS above: 2
aform(2): (~174557295e~8, 63284355e~8, ) -- (0e0, 14569800e~12, )(60741441e~13, 0e0, )(0e0, 36703826e~12, )(23016946e~11, 0e0, )(10546697e~12, 65303624e~11, )(62552287e~11, 11041720e~11, )(19123638e~9, 45122092e~10, )
aform(2): (~168682691e~8, 65679613e~8, ) -- (0e0, 13490931e~12, )(60057712e~13, 0e0, )(0e0, 27370541e~12, )(20999796e~11, 0e0, )(10487836e~12, 65150532e~11, )(64957182e~11, 12807234e~11, )(19118597e~9, 47769705e~10, )
=XS: 2 PS: 1 RS: 0 Flowing towards: (~1e0, 0e0, ) -- 166683224e~8
=XS above: 2
aform(2): (~173563005e~8, 63986027e~8, ) -- (0e0, 14739844e~12, )(61512995e~13, 0e0, )(0e0, 18588054e~11, )(86429296e~11, 0e0, )(20750389e~12, 63234832e~11, )(19194141e~9, 47292490e~10, )
aform(2): (~168168121e~8, 66050332e~8, ) -- (0e0, 28024210e~13, )(12957202e~13, 0e0, )(0e0, 48521368e~12, )(21632369e~11, 0e0, )(15577722e~12, 64221214e~11, )(65057238e~11, 13239585e~11, )(19155917e~9, 48896978e~10, )
=XS: 2 PS: 2 RS: 0 Flowing towards: (~1e0, 0e0, ) -- 166683224e~8
=XS above: 2
aform(2): (~172557774e~8, 64684756e~8, ) -- (0e0, 14900923e~12, )(62277559e~13, 0e0, )(0e0, 83003494e~11, )(39917280e~12, 0e0, )(86429296e~11, 16490729e~12, )(19268036e~9, 49467675e~10, )
aform(2): (~167650657e~8, 66420684e~8, ) -- (0e0, 28224143e~13, )(13047285e~13, 0e0, )(0e0, 59233518e~12, )(21802073e~11, 0e0, )(20595004e~12, 63318894e~11, )(65160673e~11, 13671347e~11, )(19194118e~9, 50026709e~10, )
=XS: 2 PS: 3 RS: 0 Flowing towards: (~1e0, 0e0, ) -- 166683224e~8
=XS above: 2
aform(2): (~171541641e~8, 65381388e~8, ) -- (0e0, 15060169e~12, )(63052626e~13, 0e0, )(0e0, 26722183e~12, )(46378725e~12, 0e0, )(12969296e~12, 80438662e~11, )(86455063e~11, 32623817e~12, )(19345329e~9, 51649325e~10, )
aform(2): (~167130301e~8, 66790773e~8, ) -- (0e0, 28418100e~13, )(13136458e~13, 0e0, )(0e0, 69464767e~11, )(24535239e~11, 0e0, )(65267480e~11, 14102628e~11, )(19233201e~9, 51159114e~10, )
=XS: 2 PS: 4 RS: 0 Flowing towards: (~1e0, 0e0, ) -- 166683224e~8
=XS above: 2
aform(2): (~170514634e~8, 66076735e~8, ) -- (0e0, 15197349e~12, )(63783820e~13, 0e0, )(0e0, 54881733e~12, )(53337116e~12, 0e0, )(25537837e~12, 78022222e~11, )(86506038e~11, 48426453e~12, )(19426031e~9, 53839170e~10, )
aform(2): (~166607054e~8, 67160703e~8, ) -- (0e0, 28606238e~13, )(13224726e~13, 0e0, )(0e0, 10521379e~12, )(24668889e~11, 0e0, )(54269349e~13, 68491580e~11, )(65377657e~11, 14533534e~11, )(19273169e~9, 52294411e~10, )
=XS: 2 PS: 5 RS: 0 Flowing towards: (~1e0, 0e0, ) -- 166683224e~8
=XS above: 2
aform(2): (~169476765e~8, 66771584e~8, ) -- (0e0, 15326305e~12, )(64506181e~13, 0e0, )(0e0, 84486614e~12, )(60811087e~12, 0e0, )(37728809e~12, 75746779e~11, )(86581704e~11, 63924903e~12, )(19510155e~9, 56038988e~10, )
aform(2): (~166080917e~8, 67530575e~8, ) -- (0e0, 28784476e~13, )(13310975e~13, 0e0, )(0e0, 21313025e~12, )(24811597e~11, 0e0, )(10777839e~12, 67546620e~11, )(65491200e~11, 14964173e~11, )(19314024e~9, 53432822e~10, )
=XS: 2 PS: 6 RS: 0 Flowing towards: (~1e0, 0e0, ) -- 166683224e~8
=XS above: 2
aform(2): (~165551890e~8, 67900490e~8, ) -- (0e0, 28957316e~13, )(13396357e~13, 0e0, )(0e0, 32376212e~12, )(24963684e~11, 0e0, )(16054919e~12, 66629225e~11, )(65608108e~11, 15394652e~11, )(19355769e~9, 54574571e~10, )
aform(2): (~169476765e~8, 66771584e~8, ) -- (0e0, 15326305e~12, )(64506181e~13, 0e0, )(0e0, 84486614e~12, )(60811087e~12, 0e0, )(37728809e~12, 75746779e~11, )(86581704e~11, 63924903e~12, )(19510155e~9, 56038988e~10, )
=XS: 2 PS: 7 RS: 0 Flowing towards: (~1e0, 0e0, ) -- 166683224e~8
=XS above: 2
aform(2): (~168953756e~8, 67119024e~8, ) -- (0e0, 32405568e~13, )(14049637e~13, 0e0, )(0e0, 10768548e~11, )(68042274e~12, 0e0, )(43646526e~12, 74676077e~11, )(86631645e~11, 71534729e~12, )(19553935e~9, 57144793e~10, )
aform(2): (~165019973e~8, 68270546e~8, ) -- (0e0, 29124905e~13, )(13480874e~13, 0e0, )(0e0, 43712761e~12, )(25125241e~11, 0e0, )(21260327e~12, 65738753e~11, )(65728378e~11, 15825079e~11, )(19398405e~9, 55719888e~10, )
=XS: 2 PS: 9 RS: 0 Flowing towards: (~1e0, 0e0, ) -- 166683224e~8
=XS above: 1
aform(2): (~168428032e~8, 67466623e~8, ) -- (0e0, 32562721e~13, )(14134887e~13, 0e0, )(0e0, 11905557e~11, )(70314312e~12, 0e0, )(49480594e~12, 73637364e~11, )(86687532e~11, 79080255e~12, )(19598580e~9, 58253912e~10, )
=XS: 1 PS: 10 RS: 0 Flowing towards: (~1e0, 0e0, ) -- 166683224e~8
=XS above: 1
aform(2): (~167899591e~8, 67814472e~8, ) -- (0e0, 32714699e~13, )(14219346e~13, 0e0, )(0e0, 13070081e~11, )(72684242e~12, 0e0, )(55233514e~12, 72629865e~11, )(86749313e~11, 86564457e~12, )(19644090e~9, 59366578e~10, )
=XS: 1 PS: 11 RS: 0 Flowing towards: (~1e0, 0e0, ) -- 166683224e~8
=XS above: 1
aform(2): (~167368431e~8, 68162662e~8, ) -- (0e0, 32861652e~13, )(14303018e~13, 0e0, )(0e0, 14262318e~11, )(75153091e~12, 0e0, )(60907722e~12, 71652824e~11, )(86816942e~11, 93990261e~12, )(19690471e~9, 60483030e~10, )
=XS: 1 PS: 12 RS: 0 Flowing towards: (~1e0, 0e0, ) -- 166683224e~8
=XS above: 1
aform(2): (~166834550e~8, 68511282e~8, ) -- (0e0, 33003724e~13, )(14385905e~13, 0e0, )(0e0, 15482541e~11, )(77724191e~12, 0e0, )(66505599e~12, 70705510e~11, )(86890372e~11, 10136055e~11, )(19737723e~9, 61603505e~10, )
=XS: 1 PS: 13 RS: 0 Flowing towards: (~1e0, 0e0, ) -- 166683224e~8
=XS above: 1
aform(2): (~166297942e~8, 68860418e~8, ) -- (0e0, 33141060e~13, )(14468013e~13, 0e0, )(0e0, 16730888e~11, )(80398450e~12, 0e0, )(72029467e~12, 69787214e~11, )(86969560e~11, 10867816e~11, )(19785851e~9, 62728245e~10, )
=XS: 1 PS: 14 RS: 0 Flowing towards: (~1e0, 0e0, ) -- 166683224e~8
=XS above: 1
aform(2): (~165758605e~8, 69210158e~8, ) -- (0e0, 33273800e~13, )(14549343e~13, 0e0, )(0e0, 18007599e~11, )(83178951e~12, 0e0, )(77481593e~12, 68897248e~11, )(87054464e~11, 11594590e~11, )(19834857e~9, 63857495e~10, )
=XS: 1 PS: 15 RS: 0 Flowing towards: (~1e0, 0e0, ) -- 166683224e~8
=XS above: 1
aform(2): (~165216533e~8, 69560585e~8, ) -- (0e0, 33402088e~13, )(14629898e~13, 0e0, )(0e0, 19312852e~11, )(86067097e~12, 0e0, )(82864190e~12, 68034945e~11, )(87145047e~11, 12316651e~11, )(19884746e~9, 64991501e~10, )
=XS: 1 PS: 16 RS: 0 Flowing towards: (~1e0, 0e0, ) -- 166683224e~8
=XS above: 1
aform(2): (~164671720e~8, 69911786e~8, ) -- (0e0, 33526061e~13, )(14709679e~13, 0e0, )(0e0, 20646863e~11, )(89065337e~12, 0e0, )(88179420e~12, 67199659e~11, )(87241271e~11, 13034271e~11, )(19935520e~9, 66130510e~10, )
=XS: 1 PS: 17 RS: 0 Flowing towards: (~1e0, 0e0, ) -- 166683224e~8
=XS above: 0
= Collecting: 17aforms ... = Collected to  1 aforms!
aform(2): (~166683225e~8, 68073338e~8, ) -- (0e0, 29673534e~9, )
= Ys: 1 Rss: 0= Groups: 1
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~166683225e~8, 68073338e~8, ) -- (0e0, 29673534e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~165614010e~8, 68787113e~8, ) -- (0e0, 29359060e~12, )(82057973e~13, 0e0, )(0e0, 41902935e~17, )(15527988e~17, 0e0, )(46364897e~11, 28849013e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~164533627e~8, 69502891e~8, ) -- (0e0, 28381126e~12, )(79839857e~13, 0e0, )(0e0, 31030975e~12, )(86648029e~13, 0e0, )(91441481e~11, 28072680e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~163442038e~8, 70221379e~8, ) -- (0e0, 27465975e~12, )(77781223e~13, 0e0, )(0e0, 62688658e~12, )(17577838e~12, 0e0, )(13530504e~10, 27342261e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~162339196e~8, 70943268e~8, ) -- (0e0, 26609581e~12, )(75871655e~13, 0e0, )(0e0, 94975304e~12, )(26764756e~12, 0e0, )(17802732e~10, 26655618e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~161225042e~8, 71669232e~8, ) -- (0e0, 25808187e~12, )(74101352e~13, 0e0, )(0e0, 12789469e~11, )(36252195e~12, 0e0, )(21967673e~10, 26010739e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~160099507e~8, 72399933e~8, ) -- (0e0, 25058292e~12, )(72461094e~13, 0e0, )(0e0, 16145021e~11, )(46063982e~12, 0e0, )(26031851e~10, 25405733e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~158962513e~8, 73136021e~8, ) -- (0e0, 24356629e~12, )(70942194e~13, 0e0, )(0e0, 19564627e~11, )(56224863e~12, 0e0, )(30001497e~10, 24838822e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~157813970e~8, 73878139e~8, ) -- (0e0, 23700161e~12, )(69536476e~13, 0e0, )(0e0, 23048729e~11, )(66757047e~12, 0e0, )(33882563e~10, 24308340e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~156653779e~8, 74626916e~8, ) -- (0e0, 23086058e~12, )(68236223e~13, 0e0, )(0e0, 26597784e~11, )(77682569e~12, 0e0, )(37680741e~10, 23812720e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~155481831e~8, 75382980e~8, ) -- (0e0, 22511694e~12, )(67034156e~13, 0e0, )(0e0, 30212263e~11, )(89023075e~12, 0e0, )(41401478e~10, 23350493e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~154298008e~8, 76146949e~8, ) -- (0e0, 21974629e~12, )(65923401e~13, 0e0, )(0e0, 33892551e~11, )(10079891e~11, 0e0, )(45049993e~10, 22920282e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~153102181e~8, 76919440e~8, ) -- (0e0, 21472601e~12, )(64897460e~13, 0e0, )(0e0, 37639023e~11, )(11303119e~11, 0e0, )(48631287e~10, 22520799e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~151894212e~8, 77701065e~8, ) -- (0e0, 21003515e~12, )(63950180e~13, 0e0, )(0e0, 41452029e~11, )(12573761e~11, 0e0, )(52150162e~10, 22150838e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~150673954e~8, 78492435e~8, ) -- (0e0, 20565436e~12, )(63075733e~13, 0e0, )(0e0, 45331832e~11, )(13893857e~11, 0e0, )(55611230e~10, 21809269e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~149441249e~8, 79294162e~8, ) -- (0e0, 20156575e~12, )(62268585e~13, 0e0, )(0e0, 49278595e~11, )(15265063e~11, 0e0, )(59018929e~10, 21495040e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~148195932e~8, 80106857e~8, ) -- (0e0, 19775287e~12, )(61523478e~13, 0e0, )(0e0, 53292473e~11, )(16689298e~11, 0e0, )(62377529e~10, 21207169e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~146937826e~8, 80931134e~8, ) -- (0e0, 19420059e~12, )(60835403e~13, 0e0, )(0e0, 57373529e~11, )(18168218e~11, 0e0, )(65691149e~10, 20944739e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~145666744e~8, 81767609e~8, ) -- (0e0, 19089508e~12, )(60199586e~13, 0e0, )(0e0, 61521707e~11, )(19703435e~11, 0e0, )(68963765e~10, 20706898e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~144382493e~8, 82616903e~8, ) -- (0e0, 18782365e~12, )(59611457e~13, 0e0, )(0e0, 63579994e~11, )(21296581e~11, 0e0, )(72199217e~10, 20492855e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~143084865e~8, 83479642e~8, ) -- (0e0, 18483645e~12, )(59036963e~13, 0e0, )(0e0, 65669620e~11, )(22915486e~11, 0e0, )(75401226e~10, 20301877e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~141773648e~8, 84356458e~8, ) -- (0e0, 18206239e~12, )(58502425e~13, 0e0, )(0e0, 67793867e~11, )(24560897e~11, 0e0, )(78573394e~10, 20133283e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~140448615e~8, 85247990e~8, ) -- (0e0, 17949234e~12, )(58003903e~13, 0e0, )(0e0, 32334031e~12, )(25174384e~11, 0e0, )(10592791e~12, 66724019e~11, )(81719220e~10, 19986448e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~139109532e~8, 86154885e~8, ) -- (0e0, 17711822e~12, )(57537591e~13, 0e0, )(0e0, 65301038e~12, )(25832997e~11, 0e0, )(21018419e~12, 65733124e~11, )(84842102e~10, 19860792e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~137756153e~8, 87077800e~8, ) -- (0e0, 17493879e~12, )(57100973e~13, 0e0, )(0e0, 98903909e~12, )(26538148e~11, 0e0, )(31289220e~12, 64818533e~11, )(87945351e~10, 19755787e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~136388223e~8, 88017400e~8, ) -- (0e0, 17294715e~12, )(56690276e~13, 0e0, )(0e0, 13314538e~11, )(27291123e~11, 0e0, )(41417116e~12, 63977778e~11, )(91032193e~10, 19670945e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~135005475e~8, 88974361e~8, ) -- (0e0, 17113735e~12, )(56301821e~13, 0e0, )(0e0, 80011341e~11, )(33234494e~11, 0e0, )(94105778e~10, 19605825e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~133607634e~8, 89949374e~8, ) -- (0e0, 16950428e~12, )(55932018e~13, 0e0, )(0e0, 34490873e~12, )(33824301e~11, 0e0, )(12501772e~12, 78982885e~11, )(97169188e~10, 19560024e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~132194412e~8, 90943137e~8, ) -- (0e0, 16801888e~12, )(55572969e~13, 0e0, )(0e0, 69652175e~12, )(34464064e~11, 0e0, )(24842847e~12, 78041405e~11, )(10022544e~9, 19533180e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~130765510e~8, 91956366e~8, ) -- (0e0, 16670438e~12, )(55226060e~13, 0e0, )(0e0, 10548189e~11, )(35154935e~11, 0e0, )(37036817e~12, 77184377e~11, )(10327750e~9, 19524965e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~129320619e~8, 92989789e~8, ) -- (0e0, 16555811e~12, )(54887833e~13, 0e0, )(0e0, 14198084e~11, )(35898078e~11, 0e0, )(49096876e~12, 76409463e~11, )(10632827e~9, 19535089e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~127859416e~8, 94044148e~8, ) -- (0e0, 16457824e~12, )(54554859e~13, 0e0, )(0e0, 17914906e~11, )(36694743e~11, 0e0, )(61035855e~12, 75714498e~11, )(10938063e~9, 19563294e~9, )
ML_statistics = :now=1464100489.79tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=988size_allocation=2495610880size_allocation_free=912399432size_heap=6286258176size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2496307440threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1847.096time_GC=110.66user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~126381569e~8, 95120202e~8, ) -- (0e0, 16376376e~12, )(54223729e~13, 0e0, )(0e0, 21698548e~11, )(37545951e~11, 0e0, )(72866245e~12, 75097483e~11, )(11243740e~9, 19609355e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~124886734e~8, 96218725e~8, ) -- (0e0, 16311443e~12, )(53891030e~13, 0e0, )(0e0, 25548873e~11, )(38452832e~11, 0e0, )(84600227e~12, 74556578e~11, )(11550136e~9, 19673076e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~123374552e~8, 97340510e~8, ) -- (0e0, 16263082e~12, )(53553342e~13, 0e0, )(0e0, 29465705e~11, )(39416505e~11, 0e0, )(96249692e~12, 74090090e~11, )(11857528e~9, 19754291e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~121844653e~8, 98486364e~8, ) -- (0e0, 16231430e~12, )(53207224e~13, 0e0, )(0e0, 33448822e~11, )(40437885e~11, 0e0, )(10782626e~11, 73696472e~11, )(12166188e~9, 19852860e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~120296657e~8, 99657115e~8, ) -- (0e0, 16216702e~12, )(52849192e~13, 0e0, )(0e0, 37497954e~11, )(41518050e~11, 0e0, )(11934134e~11, 73374309e~11, )(12476389e~9, 19968670e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~118730165e~8, 100853607e~8, ) -- (0e0, 16219193e~12, )(52475720e~13, 0e0, )(0e0, 41612721e~11, )(42657871e~11, 0e0, )(13080607e~11, 73122315e~11, )(12788400e~9, 20101630e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~117144771e~8, 102076704e~8, ) -- (0e0, 16239279e~12, )(52083213e~13, 0e0, )(0e0, 45792794e~11, )(43858212e~11, 0e0, )(14223144e~11, 72939325e~11, )(13102488e~9, 20251675e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~115540051e~8, 103327291e~8, ) -- (0e0, 16277418e~12, )(51668002e~13, 0e0, )(0e0, 50037800e~11, )(45119945e~11, 0e0, )(15362821e~11, 72824289e~11, )(13418920e~9, 20418757e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~113915568e~8, 104606269e~8, ) -- (0e0, 16334149e~12, )(51226332e~13, 0e0, )(0e0, 54347246e~11, )(46443975e~11, 0e0, )(16500700e~11, 72776262e~11, )(13737963e~9, 20602851e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~112270872e~8, 105914562e~8, ) -- (0e0, 16410095e~12, )(50754345e~13, 0e0, )(0e0, 58720633e~11, )(47830987e~11, 0e0, )(17637829e~11, 72794402e~11, )(14059883e~9, 20803947e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~110605497e~8, 107253110e~8, ) -- (0e0, 16505968e~12, )(50248064e~13, 0e0, )(0e0, 63157565e~11, )(49281754e~11, 0e0, )(18775242e~11, 72877961e~11, )(14384944e~9, 21022053e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~108918964e~8, 108622878e~8, ) -- (0e0, 16622563e~12, )(49703385e~13, 0e0, )(0e0, 67657380e~11, )(50796885e~11, 0e0, )(19913960e~11, 73026277e~11, )(14713414e~9, 21257189e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~107210776e~8, 110024846e~8, ) -- (0e0, 16760768e~12, )(49116056e~13, 0e0, )(0e0, 72219577e~11, )(52377046e~11, 0e0, )(21054995e~11, 73238770e~11, )(15045558e~9, 21509389e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~105480423e~8, 111460017e~8, ) -- (0e0, 16921562e~12, )(48481670e~13, 0e0, )(0e0, 76506351e~11, )(54022883e~11, 0e0, )(22199351e~11, 73514932e~11, )(15381642e~9, 21778696e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~103727377e~8, 112929409e~8, ) -- (0e0, 17104382e~12, )(47794998e~13, 0e0, )(0e0, 45498148e~12, )(54534183e~11, 0e0, )(11954117e~12, 76371733e~11, )(23348022e~11, 73854320e~11, )(15721934e~9, 22065161e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~101951097e~8, 114434062e~8, ) -- (0e0, 17312370e~12, )(47052228e~13, 0e0, )(0e0, 83435109e~11, )(79611982e~11, 0e0, )(23887200e~12, 76306198e~11, )(16066702e~9, 22368840e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~100151023e~8, 115975031e~8, ) -- (0e0, 17546889e~12, )(46248336e~13, 0e0, )(0e0, 35537381e~12, )(49758710e~13, 0e0, )(13036735e~12, 83383741e~11, )(79611982e~11, 16585858e~12, )(35810044e~12, 76308984e~11, )(16416215e~9, 22689792e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~98326579e~8, 117553391e~8, ) -- (0e0, 17829830e~12, )(46624763e~13, 0e0, )(0e0, 83576363e~11, )(58163862e~12, 0e0, )(26065445e~12, 83406753e~11, )(79637897e~11, 33042408e~12, )(16770743e~9, 23028075e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~96477172e~8, 119170228e~8, ) -- (0e0, 18170648e~12, )(48630128e~13, 0e0, )(0e0, 38399907e~12, )(63105053e~12, 0e0, )(13058806e~12, 83619703e~11, )(39097750e~12, 83503428e~11, )(79689526e~11, 49381884e~12, )(17130557e~9, 23383745e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~94602192e~8, 120826645e~8, ) -- (0e0, 18544618e~12, )(50651709e~13, 0e0, )(0e0, 14351115e~11, )(86651909e~11, 0e0, )(26124385e~12, 83736652e~11, )(52145161e~12, 83673119e~11, )(17495928e~9, 23756849e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~92701013e~8, 122523755e~8, ) -- (0e0, 18953550e~12, )(52687836e~13, 0e0, )(0e0, 18726035e~11, )(33755379e~12, 0e0, )(86651909e~11, 17412878e~12, )(26124385e~12, 83736652e~11, )(52145161e~12, 83673119e~11, )(17867129e~9, 24147425e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~90772990e~8, 124262681e~8, ) -- (0e0, 19399360e~12, )(54736319e~13, 0e0, )(0e0, 23384836e~11, )(68404072e~12, 0e0, )(86679117e~11, 34668004e~12, )(26124385e~12, 83736652e~11, )(52145161e~12, 83673119e~11, )(18244432e~9, 24555495e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~88817460e~8, 126044552e~8, ) -- (0e0, 19884070e~12, )(56794410e~13, 0e0, )(0e0, 19574815e~10, )(18226211e~11, 0e0, )(86733285e~11, 51773306e~12, )(18628112e~9, 24981063e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~86833743e~8, 127870503e~8, ) -- (0e0, 20409811e~12, )(58858732e~13, 0e0, )(0e0, 46138322e~12, )(18825235e~11, 0e0, )(30585649e~12, 19639395e~10, )(86814181e~11, 68735019e~12, )(19018441e~9, 25424105e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~84821143e~8, 129741667e~8, ) -- (0e0, 20978824e~12, )(60925212e~13, 0e0, )(0e0, 17934064e~11, )(10643940e~10, 0e0, )(61272205e~12, 19720715e~10, )(19415693e~9, 25884571e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~82778944e~8, 131659176e~8, ) -- (0e0, 21593452e~12, )(62989014e~13, 0e0, )(0e0, 22533731e~11, )(92229740e~13, 0e0, )(10643940e~10, 19973475e~12, )(92085822e~12, 19818656e~10, )(19820139e~9, 26362371e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~80706412e~8, 133624149e~8, ) -- (0e0, 22256148e~12, )(65044457e~13, 0e0, )(0e0, 27323140e~11, )(19380590e~12, 0e0, )(10647060e~10, 39691841e~12, )(12305247e~11, 19933103e~10, )(20232051e~9, 26857374e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~78602798e~8, 135637698e~8, ) -- (0e0, 22969462e~12, )(67084921e~13, 0e0, )(0e0, 32316342e~11, )(30502110e~12, 0e0, )(10653262e~10, 59153713e~12, )(15419794e~11, 20063934e~10, )(20651697e~9, 27369397e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~76467334e~8, 137700909e~8, ) -- (0e0, 23736045e~12, )(69102761e~13, 0e0, )(0e0, 37528109e~11, )(42619134e~12, 0e0, )(10662505e~10, 78354895e~12, )(18554784e~11, 20211021e~10, )(21079344e~9, 27898201e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~74299236e~8, 139814847e~8, ) -- (0e0, 24558638e~12, )(71089205e~13, 0e0, )(0e0, 44866766e~11, )(56988727e~12, 0e0, )(10662505e~10, 78354895e~12, )(21712756e~11, 20374227e~10, )(21515254e~9, 28443475e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~72097702e~8, 141980539e~8, ) -- (0e0, 25440066e~12, )(73034234e~13, 0e0, )(0e0, 52426617e~11, )(72716281e~12, 0e0, )(10662505e~10, 78354895e~12, )(24896229e~11, 20553394e~10, )(21959683e~9, 29004835e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~69861918e~8, 144198972e~8, ) -- (0e0, 26383230e~12, )(74926478e~13, 0e0, )(0e0, 60222167e~11, )(89833433e~12, 0e0, )(10662505e~10, 78354895e~12, )(28107697e~11, 20748346e~10, )(22412884e~9, 29581806e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~67591051e~8, 146471081e~8, ) -- (0e0, 27391096e~12, )(76753077e~13, 0e0, )(0e0, 68267939e~11, )(10837244e~11, 0e0, )(10662505e~10, 78354895e~12, )(31349626e~11, 20958879e~10, )(22875099e~9, 30173814e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~65284255e~8, 148797735e~8, ) -- (0e0, 28466681e~12, )(78499560e~13, 0e0, )(0e0, 76578317e~11, )(12836734e~11, 0e0, )(10662505e~10, 78354895e~12, )(34624451e~11, 21184755e~10, )(23346565e~9, 30780173e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~62940673e~8, 151179734e~8, ) -- (0e0, 29613036e~12, )(80149688e~13, 0e0, )(0e0, 93003167e~11, )(12161026e~10, 0e0, )(37934569e~11, 21425696e~10, )(23827505e~9, 31400070e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~60559434e~8, 153617785e~8, ) -- (0e0, 30833230e~12, )(81685324e~13, 0e0, )(0e0, 10188562e~10, )(23009544e~12, 0e0, )(12161026e~10, 0e0, )(41282334e~11, 21681378e~10, )(24318131e~9, 32032551e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~58139658e~8, 156112496e~8, ) -- (0e0, 32130329e~12, )(83086264e~13, 0e0, )(0e0, 11107487e~10, )(47579892e~12, 0e0, )(12161026e~10, 0e0, )(44670050e~11, 21951419e~10, )(24818640e~9, 32676504e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~55680455e~8, 158664356e~8, ) -- (0e0, 33507369e~12, )(84330085e~13, 0e0, )(0e0, 12058423e~10, )(73746487e~12, 0e0, )(12161026e~10, 0e0, )(48099959e~11, 22235374e~10, )(25329210e~9, 33330643e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~53180929e~8, 161273717e~8, ) -- (0e0, 34967328e~12, )(85391985e~13, 0e0, )(0e0, 98422217e~12, )(10154471e~11, 0e0, )(0e0, 12058423e~10, )(12161026e~10, 0e0, )(51574236e~11, 22532726e~10, )(25850002e~9, 33993488e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~50640182e~8, 163940777e~8, ) -- (0e0, 36513098e~12, )(86244615e~13, 0e0, )(0e0, 20029152e~11, )(13100971e~11, 0e0, )(0e0, 12058423e~10, )(12161026e~10, 0e0, )(55094975e~11, 22842871e~10, )(26381150e~9, 34663346e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~48057310e~8, 166665557e~8, ) -- (0e0, 38147444e~12, )(86857920e~13, 0e0, )(0e0, 15115608e~10, )(13782782e~10, 0e0, )(58664173e~11, 23165112e~10, )(26922765e~9, 35338287e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~45431414e~8, 169447878e~8, ) -- (0e0, 39872973e~12, )(87198985e~13, 0e0, )(0e0, 10908360e~11, )(32900065e~12, 0e0, )(0e0, 15115608e~10, )(13782782e~10, 0e0, )(62283722e~11, 23498645e~10, )(27474925e~9, 36016126e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~42761598e~8, 172287337e~8, ) -- (0e0, 41692081e~12, )(87231889e~13, 0e0, )(0e0, 22190724e~11, )(67565590e~12, 0e0, )(0e0, 15115608e~10, )(13782782e~10, 0e0, )(65955386e~11, 23842546e~10, )(28037677e~9, 36694395e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~40046974e~8, 175183278e~8, ) -- (0e0, 43606915e~12, )(86917564e~13, 0e0, )(0e0, 33854004e~11, )(10402577e~11, 0e0, )(0e0, 15115608e~10, )(13782782e~10, 0e0, )(69680783e~11, 24195757e~10, )(28611027e~9, 37370321e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~37286667e~8, 178134765e~8, ) -- (0e0, 45619314e~12, )(86213697e~13, 0e0, )(0e0, 45903142e~11, )(14230686e~11, 0e0, )(0e0, 15115608e~10, )(13782782e~10, 0e0, )(73461370e~11, 24557073e~10, )(29194939e~9, 38040797e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~34479818e~8, 181140547e~8, ) -- (0e0, 47730760e~12, )(85074629e~13, 0e0, )(0e0, 58340843e~11, )(18243161e~11, 0e0, )(0e0, 15115608e~10, )(13782782e~10, 0e0, )(77298413e~11, 24925127e~10, )(29789326e~9, 38702358e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~31625593e~8, 184199030e~8, ) -- (0e0, 49942316e~12, )(83451320e~13, 0e0, )(0e0, 71167195e~11, )(22441894e~11, 0e0, )(0e0, 15115608e~10, )(13782782e~10, 0e0, )(81192964e~11, 25298373e~10, )(30394050e~9, 39351153e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~28723183e~8, 187308234e~8, ) -- (0e0, 52254565e~12, )(81291334e~13, 0e0, )(0e0, 82253945e~11, )(16229426e~10, 0e0, )(23618137e~12, 15328167e~10, )(85145835e~11, 25675067e~10, )(31008912e~9, 39982916e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~25771814e~8, 190465760e~8, ) -- (0e0, 54973898e~12, )(78538901e~13, 0e0, )(0e0, 93646051e~11, )(21797884e~12, 0e0, )(16229426e~10, 0e0, )(47568399e~12, 15548190e~10, )(89157564e~11, 26053255e~10, )(31633645e~9, 40592938e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~22770753e~8, 193668748e~8, ) -- (0e0, 57221675e~12, )(83611626e~13, 0e0, )(0e0, 10546759e~10, )(45143053e~12, 0e0, )(16229426e~10, 0e0, )(71862447e~12, 15774859e~10, )(93228386e~11, 26430754e~10, )(32267910e~9, 41176046e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~19719317e~8, 196913835e~8, ) -- (0e0, 59889462e~12, )(92468521e~13, 0e0, )(0e0, 11808759e~10, )(70877685e~12, 0e0, )(16229426e~10, 0e0, )(96510666e~12, 16007236e~10, )(97358191e~11, 26805132e~10, )(32911286e~9, 41726566e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~16616876e~8, 20019711e~7, ) -- (0e0, 62651357e~12, )(10179660e~12, 0e0, )(0e0, 13158528e~10, )(99511566e~12, 0e0, )(16229426e~10, 0e0, )(12152197e~11, 16244255e~10, )(10154649e~10, 27173692e~10, )(33563263e~9, 42238311e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~13462871e~8, 20351406e~7, ) -- (0e0, 65502344e~12, )(11161015e~12, 0e0, )(0e0, 14600992e~10, )(13123040e~11, 0e0, )(16229426e~10, 0e0, )(14690362e~11, 16484708e~10, )(10579238e~10, 27533456e~10, )(34223237e~9, 42704552e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~10256815e~8, 20685957e~7, ) -- (0e0, 68436081e~12, )(12192269e~12, 0e0, )(0e0, 16141259e~10, )(16622902e~11, 0e0, )(16229426e~10, 0e0, )(17266097e~11, 16727238e~10, )(11009448e~10, 27881149e~10, )(34890495e~9, 43118002e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~69983069e~9, 21022779e~7, ) -- (0e0, 71444776e~12, )(13274675e~12, 0e0, )(0e0, 13938986e~11, )(17949069e~11, 0e0, )(25220717e~12, 16390813e~10, )(16229426e~10, 0e0, )(19879728e~11, 16970321e~10, )(11445091e~10, 28213184e~10, )(35564214e~9, 43470807e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~36870439e~9, 21361216e~7, ) -- (0e0, 74519072e~12, )(14409372e~12, 0e0, )(0e0, 28884891e~11, )(19605971e~11, 0e0, )(50831363e~12, 16642884e~10, )(16229426e~10, 0e0, )(22531341e~11, 17212262e~10, )(11885922e~10, 28525646e~10, )(36243445e~9, 43754531e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (~32283058e~10, 21700535e~7, ) -- (0e0, 77647882e~12, )(15597298e~12, 0e0, )(0e0, 44888377e~11, )(21614673e~11, 0e0, )(76835870e~12, 16895884e~10, )(16229426e~10, 0e0, )(25220757e~11, 17451178e~10, )(12331635e~10, 28814290e~10, )(36927110e~9, 43960166e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (30944070e~9, 22039920e~7, ) -- (0e0, 83062960e~12, )(16867577e~12, 0e0, )(0e0, 59501757e~11, )(23997115e~11, 0e0, )(10323568e~11, 17148042e~10, )(16229426e~10, ~25003177e~12, )(27947504e~11, 17684994e~10, )(12781859e~10, 29074527e~10, )(37613988e~9, 44078135e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (65646087e~9, 22378467e~7, ) -- (0e0, 91862304e~12, )(18234581e~12, 0e0, )(0e0, 75494393e~11, )(26743379e~11, 0e0, )(13002950e~11, 17397393e~10, )(16225519e~10, ~54210877e~12, )(30710784e~11, 17911433e~10, )(13236148e~10, 29301423e~10, )(38302708e~9, 44098312e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (10087566e~8, 22715185e~7, ) -- (0e0, 10106988e~11, )(19661934e~12, 0e0, )(0e0, 93320230e~11, )(29889977e~11, 0e0, )(15721293e~11, 17641769e~10, )(16217049e~10, ~87855472e~12, )(33509446e~11, 18128009e~10, )(13693983e~10, 29489705e~10, )(38991745e~9, 44010059e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (13662908e~8, 23048987e~7, ) -- (0e0, 11064038e~11, )(21149565e~12, 0e0, )(0e0, 11309716e~10, )(33472235e~11, 0e0, )(18477819e~11, 17878795e~10, )(16203321e~10, ~12616586e~11, )(36341947e~11, 18332024e~10, )(14154759e~10, 29633767e~10, )(39679402e~9, 43802266e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (17290088e~8, 23378690e~7, ) -- (0e0, 12051455e~11, )(22696941e~12, 0e0, )(0e0, 13494120e~10, )(37527224e~11, 0e0, )(21271381e~11, 18105880e~10, )(16183608e~10, ~16936399e~11, )(39206326e~11, 18520565e~10, )(14617787e~10, 29727684e~10, )(40363812e~9, 43463420e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (20968363e~8, 23703014e~7, ) -- (0e0, 13061778e~11, )(24303077e~12, 0e0, )(0e0, 15896388e~10, )(42093689e~11, 0e0, )(24100425e~11, 18320221e~10, )(16157145e~10, ~21766099e~11, )(42100164e~11, 18690513e~10, )(15082282e~10, 29765240e~10, )(41042928e~9, 42981679e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (24696787e~8, 24020578e~7, ) -- (0e0, 14085879e~11, )(25966484e~12, 0e0, )(0e0, 18527001e~10, )(47211899e~11, 0e0, )(26962959e~11, 18518800e~10, )(16123135e~10, ~27125270e~11, )(45020557e~11, 18838542e~10, )(15547364e~10, 29739960e~10, )(41714517e~9, 42344979e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (28474187e~8, 24329906e~7, ) -- (0e0, 15112853e~11, )(27685128e~12, 0e0, )(0e0, 31706974e~11, )(58760592e~11, 0e0, )(0e0, 18527001e~10, )(26962959e~11, 18518800e~10, )(16080752e~10, ~33031474e~11, )(45020557e~11, 18838542e~10, )(16012051e~10, 29645152e~10, )(42376157e~9, 41541151e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (28474187e~8, 24329906e~7, ) -- (0e0, 15112853e~11, )(27685128e~12, 0e0, )(0e0, 31706974e~11, )(58760592e~11, 0e0, )(0e0, 18527001e~10, )(26962959e~11, 18518800e~10, )(16080752e~10, ~33031474e~11, )(45020557e~11, 18838542e~10, )(16012051e~10, 29645152e~10, )(42376157e~9, 41541151e~9, )
=XS: 1 PS: 1 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (30380866e~8, 24481049e~7, ) -- (0e0, 33716281e~12, )(61744286e~13, 0e0, )(0e0, 56307799e~11, )(66260868e~11, 0e0, )(0e0, 18527001e~10, )(26962959e~11, 18518800e~10, )(16054946e~10, ~36265596e~11, )(45020557e~11, 18838542e~10, )(16243654e~10, 29559559e~10, )(42700697e~9, 41049609e~9, )
=XS: 1 PS: 2 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (32299250e~8, 24629538e~7, ) -- (0e0, 34791318e~12, )(63635765e~13, 0e0, )(0e0, 69472979e~11, )(71710526e~11, 0e0, )(0e0, 18527001e~10, )(26962959e~11, 18518800e~10, )(16026614e~10, ~39642837e~11, )(45020557e~11, 18838542e~10, )(16474588e~10, 29453504e~10, )(43021397e~9, 40510877e~9, )
=XS: 1 PS: 3 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (34229122e~8, 24775160e~7, ) -- (0e0, 35850456e~12, )(65553116e~13, 0e0, )(0e0, 84332628e~11, )(79583852e~11, 0e0, )(0e0, 18527001e~10, )(26962959e~11, 18518800e~10, )(15995643e~10, ~43164413e~11, )(45020557e~11, 18838542e~10, )(16474588e~10, 29453504e~10, )(43337888e~9, 39923493e~9, )
=XS: 1 PS: 4 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (36170251e~8, 24917698e~7, ) -- (0e0, 36892795e~12, )(67502662e~13, 0e0, )(0e0, 99840976e~11, )(87593269e~11, 0e0, )(0e0, 18527001e~10, )(26962959e~11, 18518800e~10, )(15961920e~10, ~46831287e~11, )(45020557e~11, 18838542e~10, )(16474588e~10, 29453504e~10, )(43649791e~9, 39286026e~9, )
=XS: 1 PS: 5 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 1
aform(2): (38122386e~8, 25056930e~7, ) -- (0e0, 37911232e~12, )(69477350e~13, 0e0, )(0e0, 11601255e~10, )(95744160e~11, 0e0, )(0e0, 18527001e~10, )(26962959e~11, 18518800e~10, )(15925333e~10, ~50644151e~11, )(45020557e~11, 18838542e~10, )(16474588e~10, 29453504e~10, )(43956713e~9, 38597082e~9, )
=XS: 1 PS: 6 RS: 0 Flowing towards: (~1e0, 0e0, ) -- ~33316776e~8
=XS above: 0
= Collecting: 6aforms ... = Collected to  4 aforms!
aform(2): (33316775e~8, 24047019e~7, ) -- (0e0, 23392711e~9, )
aform(2): (33316775e~8, 24514873e~7, ) -- (0e0, 23392711e~9, )
aform(2): (33316775e~8, 24982728e~7, ) -- (0e0, 23392711e~9, )
aform(2): (33316775e~8, 25450582e~7, ) -- (0e0, 23392711e~9, )
= Ys: 1 Rss: 0= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (33316775e~8, 24047019e~7, ) -- (0e0, 23392711e~9, )
aform(2): (33316775e~8, 24514873e~7, ) -- (0e0, 23392711e~9, )
aform(2): (33316775e~8, 24982728e~7, ) -- (0e0, 23392711e~9, )
aform(2): (33316775e~8, 25450582e~7, ) -- (0e0, 23392711e~9, )
ML_statistics = :now=1464100490.29tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=988size_allocation=2495610880size_allocation_free=523854200size_heap=6286258176size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2496307440threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1847.892time_GC=110.66user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (37095685e~8, 24322890e~7, ) -- (0e0, 54100382e~12, )(10559862e~12, 0e0, )(0e0, 10200172e~16, )(15792561e~17, 0e0, )(36551112e~11, 23717650e~9, )
aform(2): (37169279e~8, 24797025e~7, ) -- (0e0, 56574159e~12, )(10808385e~12, 0e0, )(0e0, 68486836e~17, )(73681907e~18, 0e0, )(36551112e~11, 23717650e~9, )
aform(2): (37242872e~8, 25271155e~7, ) -- (0e0, 59125096e~12, )(11060507e~12, 0e0, )(0e0, 34971947e~17, )(22226884e~17, 0e0, )(36551112e~11, 23717650e~9, )
aform(2): (37316465e~8, 25745281e~7, ) -- (0e0, 61754455e~12, )(11316241e~12, 0e0, )(0e0, 18772157e~16, )(13802514e~17, 0e0, )(36551112e~11, 23717650e~9, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (40916682e~8, 24585729e~7, ) -- (0e0, 58311554e~12, )(11109253e~12, 0e0, )(0e0, 55403222e~12, )(11405436e~12, 0e0, )(73609941e~11, 24021225e~9, )
aform(2): (41064813e~8, 25065662e~7, ) -- (0e0, 60981844e~12, )(11385121e~12, 0e0, )(0e0, 57927442e~12, )(11692595e~12, 0e0, )(73609941e~11, 24020801e~9, )
aform(2): (41212942e~8, 25545577e~7, ) -- (0e0, 63735142e~12, )(11665628e~12, 0e0, )(0e0, 60529460e~12, )(11984766e~12, 0e0, )(73609941e~11, 24020376e~9, )
aform(2): (41361068e~8, 26025473e~7, ) -- (0e0, 66572784e~12, )(11950805e~12, 0e0, )(0e0, 63214339e~12, )(12281497e~12, 0e0, )(73609941e~11, 24019949e~9, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (44777594e~8, 24833805e~7, ) -- (0e0, 62427246e~12, )(11675313e~12, 0e0, )(0e0, 11651127e~11, )(24291708e~12, 0e0, )(11114310e~10, 24299078e~9, )
aform(2): (45001123e~8, 25318965e~7, ) -- (0e0, 65281634e~12, )(11979502e~12, 0e0, )(0e0, 12181659e~11, )(24935771e~12, 0e0, )(11114244e~10, 24297655e~9, )
aform(2): (45224646e~8, 25804079e~7, ) -- (0e0, 68223908e~12, )(12289403e~12, 0e0, )(0e0, 12728491e~11, )(25592110e~12, 0e0, )(11114177e~10, 24296226e~9, )
aform(2): (45448161e~8, 26289146e~7, ) -- (0e0, 71255436e~12, )(12605069e~12, 0e0, )(0e0, 13292400e~11, )(26260418e~12, 0e0, )(11114111e~10, 24294792e~9, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (48675974e~8, 25065324e~7, ) -- (0e0, 66378830e~12, )(12257000e~12, 0e0, )(0e0, 18343071e~11, )(38762950e~12, 0e0, )(14911041e~10, 24546637e~9, )
aform(2): (48975666e~8, 25555044e~7, ) -- (0e0, 69399254e~12, )(12590408e~12, 0e0, )(0e0, 19177074e~11, )(39838801e~12, 0e0, )(14910753e~10, 24543484e~9, )
aform(2): (49275341e~8, 26044673e~7, ) -- (0e0, 72511114e~12, )(12930630e~12, 0e0, )(0e0, 20036444e~11, )(40936558e~12, 0e0, )(14910463e~10, 24540314e~9, )
aform(2): (49574998e~8, 26534211e~7, ) -- (0e0, 75715750e~12, )(13277739e~12, 0e0, )(0e0, 20922581e~11, )(42056010e~12, 0e0, )(14910172e~10, 24537126e~9, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (52609091e~8, 25278440e~7, ) -- (0e0, 70090725e~12, )(12853090e~12, 0e0, )(0e0, 25620686e~11, )(54923479e~12, 0e0, )(18746453e~10, 24759153e~9, )
aform(2): (52985599e~8, 25771954e~7, ) -- (0e0, 73252952e~12, )(13216519e~12, 0e0, )(0e0, 26782470e~11, )(56510005e~12, 0e0, )(18745672e~10, 24753374e~9, )
aform(2): (53362071e~8, 26265314e~7, ) -- (0e0, 76508454e~12, )(13587888e~12, 0e0, )(0e0, 27979580e~11, )(58130987e~12, 0e0, )(18744887e~10, 24747558e~9, )
aform(2): (53738505e~8, 26758518e~7, ) -- (0e0, 79858457e~12, )(13967291e~12, 0e0, )(0e0, 29213513e~11, )(59786439e~12, 0e0, )(18744098e~10, 24741704e~9, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (56573921e~8, 25471263e~7, ) -- (0e0, 73481207e~12, )(13462168e~12, 0e0, )(0e0, 33481241e~11, )(72875046e~12, 0e0, )(22615071e~10, 24931744e~9, )
aform(2): (57027771e~8, 25967707e~7, ) -- (0e0, 76754428e~12, )(13856313e~12, 0e0, )(0e0, 34993823e~11, )(75055873e~12, 0e0, )(22613387e~10, 24922277e~9, )
aform(2): (57481553e~8, 26463910e~7, ) -- (0e0, 80120641e~12, )(14259541e~12, 0e0, )(0e0, 36552108e~11, )(77286363e~12, 0e0, )(22611693e~10, 24912741e~9, )
aform(2): (57935266e~8, 26959870e~7, ) -- (0e0, 83580870e~12, )(14671966e~12, 0e0, )(0e0, 38157626e~11, )(79566536e~12, 0e0, )(22609989e~10, 24903136e~9, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (60567145e~8, 25641879e~7, ) -- (0e0, 76463582e~12, )(14082634e~12, 0e0, )(0e0, 41914317e~11, )(92716900e~12, 0e0, )(26510656e~10, 25059445e~9, )
aform(2): (61098718e~8, 26140288e~7, ) -- (0e0, 79810144e~12, )(14508066e~12, 0e0, )(0e0, 43798489e~11, )(95579510e~12, 0e0, )(26507493e~10, 25045062e~9, )
aform(2): (61630177e~8, 26638343e~7, ) -- (0e0, 83246902e~12, )(14943733e~12, 0e0, )(0e0, 45739041e~11, )(98509332e~12, 0e0, )(26504309e~10, 25030565e~9, )
aform(2): (62161521e~8, 27136041e~7, ) -- (0e0, 86774559e~12, )(15389767e~12, 0e0, )(0e0, 47737650e~11, )(10150692e~11, 0e0, )(26501104e~10, 25015954e~9, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (64585141e~8, 25788364e~7, ) -- (0e0, 78947723e~12, )(14712695e~12, 0e0, )(0e0, 50900406e~11, )(11454364e~11, 0e0, )(30426195e~10, 25137275e~9, )
aform(2): (65194662e~8, 26287674e~7, ) -- (0e0, 82323080e~12, )(15169848e~12, 0e0, )(0e0, 53174281e~11, )(11817853e~11, 0e0, )(30420784e~10, 25116588e~9, )
aform(2): (65804002e~8, 26786489e~7, ) -- (0e0, 85782938e~12, )(15638387e~12, 0e0, )(0e0, 55515202e~11, )(12190081e~11, 0e0, )(30415335e~10, 25095726e~9, )
aform(2): (66413160e~8, 27284803e~7, ) -- (0e0, 89327560e~12, )(16118463e~12, 0e0, )(0e0, 57925215e~11, )(12571161e~11, 0e0, )(30409847e~10, 25074689e~9, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (68623991e~8, 25908805e~7, ) -- (0e0, 80842023e~12, )(15350376e~12, 0e0, )(0e0, 60411153e~11, )(13844339e~11, 0e0, )(34353894e~10, 25160307e~9, )
aform(2): (69311509e~8, 26407857e~7, ) -- (0e0, 84194906e~12, )(15839532e~12, 0e0, )(0e0, 63089220e~11, )(14294335e~11, 0e0, )(34345251e~10, 25131775e~9, )
aform(2): (69998756e~8, 26906239e~7, ) -- (0e0, 87623368e~12, )(16341215e~12, 0e0, )(0e0, 65844960e~11, )(14755424e~11, 0e0, )(34336542e~10, 25102991e~9, )
aform(2): (70685729e~8, 27403944e~7, ) -- (0e0, 91127100e~12, )(16855592e~12, 0e0, )(0e0, 68680382e~11, )(15227688e~11, 0e0, )(34327768e~10, 25073956e~9, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (72679477e~8, 26001322e~7, ) -- (0e0, 82055703e~12, )(15993523e~12, 0e0, )(0e0, 70408154e~11, )(16449647e~11, 0e0, )(38285192e~10, 25123749e~9, )
aform(2): (73444855e~8, 26498863e~7, ) -- (0e0, 85328590e~12, )(16514795e~12, 0e0, )(0e0, 73500724e~11, )(16995628e~11, 0e0, )(38272091e~10, 25085694e~9, )
aform(2): (74209840e~8, 26995525e~7, ) -- (0e0, 88664638e~12, )(17049717e~12, 0e0, )(0e0, 76680927e~11, )(17555288e~11, 0e0, )(38258884e~10, 25047294e~9, )
aform(2): (74974429e~8, 27491299e~7, ) -- (0e0, 92062846e~12, )(17598469e~12, 0e0, )(0e0, 79951186e~11, )(18128771e~11, 0e0, )(38245573e~10, 25008549e~9, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (76747094e~8, 26064088e~7, ) -- (0e0, 82501495e~12, )(16639805e~12, 0e0, )(0e0, 80842993e~11, )(19277346e~11, 0e0, )(42210778e~10, 25023032e~9, )
aform(2): (77589991e~8, 26558779e~7, ) -- (0e0, 85631366e~12, )(17193131e~12, 0e0, )(0e0, 84355554e~11, )(19928929e~11, 0e0, )(42191730e~10, 24973660e~9, )
aform(2): (78432338e~8, 27052346e~7, ) -- (0e0, 88808334e~12, )(17761197e~12, 0e0, )(0e0, 87964966e~11, )(20596978e~11, 0e0, )(42172524e~10, 24923833e~9, )
aform(2): (79274131e~8, 27544779e~7, ) -- (0e0, 92030579e~12, )(18344197e~12, 0e0, )(0e0, 91673811e~11, )(21281744e~11, 0e0, )(42153159e~10, 24873555e~9, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (80822057e~8, 26095357e~7, ) -- (0e0, 82098590e~12, )(17286735e~12, 0e0, )(0e0, 10814759e~11, )(22333444e~11, 0e0, )(0e0, 80842993e~11, )(46120626e~10, 24853905e~9, )
aform(2): (81741916e~8, 26585782e~7, ) -- (0e0, 85018041e~12, )(17871862e~12, 0e0, )(0e0, 10709807e~11, )(21782069e~11, 0e0, )(13180555e~12, 84880113e~11, )(46093865e~10, 24791331e~9, )
aform(2): (82661028e~8, 27074801e~7, ) -- (0e0, 88029983e~12, )(18475157e~12, 0e0, )(0e0, 11133333e~11, )(22511891e~11, 0e0, )(13744525e~12, 88493906e~11, )(46066873e~10, 24728180e~9, )
aform(2): (83579386e~8, 27562404e~7, ) -- (0e0, 91343222e~12, )(19103566e~12, 0e0, )(0e0, 11566135e~11, )(23259973e~11, 0e0, )(14324033e~12, 92206036e~11, )(46039652e~10, 24664456e~9, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (84899310e~8, 26093501e~7, ) -- (0e0, 82228949e~12, )(17979223e~12, 0e0, )(0e0, 21503579e~11, )(24359407e~11, 0e0, )(12631717e~12, 81281035e~11, )(50004049e~10, 24612535e~9, )
aform(2): (85895348e~8, 26578180e~7, ) -- (0e0, 85308512e~12, )(18605163e~12, 0e0, )(0e0, 21699791e~11, )(23869438e~11, 0e0, )(26443073e~12, 85210092e~11, )(49967510e~10, 24534816e~9, )
aform(2): (86890395e~8, 27061134e~7, ) -- (0e0, 88436327e~12, )(19247157e~12, 0e0, )(0e0, 22544728e~11, )(24670916e~11, 0e0, )(27571698e~12, 88814231e~11, )(49930651e~10, 24456388e~9, )
aform(2): (87884441e~8, 27542349e~7, ) -- (0e0, 91611241e~12, )(19905310e~12, 0e0, )(0e0, 23434542e~11, )(25493801e~11, 0e0, )(28731226e~12, 92514841e~11, )(49893474e~10, 24377257e~9, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (88973562e~8, 26057010e~7, ) -- (0e0, 83066963e~12, )(18695028e~12, 0e0, )(0e0, 32550251e~11, )(26621815e~11, 0e0, )(25331879e~12, 81528452e~11, )(53849758e~10, 24295608e~9, )
aform(2): (90044762e~8, 26534402e~7, ) -- (0e0, 86447888e~12, )(19361891e~12, 0e0, )(0e0, 33073319e~11, )(26202332e~11, 0e0, )(39757150e~12, 85329218e~11, )(53801075e~10, 24200780e~9, )
aform(2): (91114673e~8, 27009710e~7, ) -- (0e0, 89912678e~12, )(20044892e~12, 0e0, )(0e0, 34365967e~11, )(27086114e~11, 0e0, )(41448922e~12, 88908554e~11, )(53751962e~10, 24105107e~9, )
aform(2): (92183284e~8, 27482920e~7, ) -- (0e0, 93459264e~12, )(20743923e~12, 0e0, )(0e0, 35714307e~11, )(27993665e~11, 0e0, )(43186670e~12, 92581672e~11, )(53702420e~10, 24008599e~9, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (93039299e~8, 25984520e~7, ) -- (0e0, 84798871e~12, )(19412572e~12, 0e0, )(0e0, 44079123e~11, )(30403605e~11, 0e0, )(25331879e~12, 81528452e~11, )(57645947e~10, 23900431e~9, )
aform(2): (94184399e~8, 26453045e~7, ) -- (0e0, 88153004e~12, )(20098831e~12, 0e0, )(0e0, 45033597e~11, )(30123660e~11, 0e0, )(39757150e~12, 85329218e~11, )(57582447e~10, 23786550e~9, )
aform(2): (95327853e~8, 26919091e~7, ) -- (0e0, 91586573e~12, )(20800766e~12, 0e0, )(0e0, 46863744e~11, )(31157261e~11, 0e0, )(41448922e~12, 88908554e~11, )(57518385e~10, 23671694e~9, )
aform(2): (96469648e~8, 27382642e~7, ) -- (0e0, 95094015e~12, )(21518116e~12, 0e0, )(0e0, 48767776e~11, )(32218728e~11, 0e0, )(43186670e~12, 92581672e~11, )(57453764e~10, 23555876e~9, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (97090804e~8, 25874862e~7, ) -- (0e0, 85991249e~12, )(20058186e~12, 0e0, )(0e0, 56280064e~11, )(34440011e~11, 0e0, )(25331879e~12, 81528452e~11, )(61380389e~10, 23425026e~9, )
aform(2): (98308292e~8, 26332914e~7, ) -- (0e0, 89280079e~12, )(20757465e~12, 0e0, )(0e0, 57778846e~11, )(34308206e~11, 0e0, )(39757150e~12, 85329218e~11, )(61299096e~10, 23290223e~9, )
aform(2): (99523714e~8, 26788059e~7, ) -- (0e0, 92640331e~12, )(21471509e~12, 0e0, )(0e0, 60175228e~11, )(35501891e~11, 0e0, )(41448922e~12, 88908554e~11, )(61217087e~10, 23154326e~9, )
aform(2): (100737054e~8, 27240279e~7, ) -- (0e0, 96064408e~12, )(22199933e~12, 0e0, )(0e0, 62664199e~11, )(36727773e~11, 0e0, )(43186670e~12, 92581672e~11, )(61134369e~10, 23017354e~9, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (101122194e~8, 25727077e~7, ) -- (0e0, 86585606e~12, )(20621431e~12, 0e0, )(0e0, 69200373e~11, )(38733491e~11, 0e0, )(25331879e~12, 81528452e~11, )(65040549e~10, 22868229e~9, )
aform(2): (102410309e~8, 26173043e~7, ) -- (0e0, 89783224e~12, )(21391025e~12, 0e0, )(0e0, 71268145e~11, )(38759560e~11, 0e0, )(39757150e~12, 85329218e~11, )(64938193e~10, 22710753e~9, )
aform(2): (103695867e~8, 26615645e~7, ) -- (0e0, 93081940e~12, )(22325433e~12, 0e0, )(0e0, 74255312e~11, )(40123246e~11, 0e0, )(41448922e~12, 88908554e~11, )(64834951e~10, 22552088e~9, )
aform(2): (104978850e~8, 27054862e~7, ) -- (0e0, 96437866e~12, )(23282901e~12, 0e0, )(0e0, 77387386e~11, )(41523639e~11, 0e0, )(43186670e~12, 92581672e~11, )(64730831e~10, 22392263e~9, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (105127456e~8, 25540437e~7, ) -- (0e0, 86668824e~12, )(21642167e~12, 0e0, )(0e0, 82846392e~11, )(43286109e~11, 0e0, )(25331879e~12, 81528452e~11, )(68613710e~10, 22229764e~9, )
aform(2): (106484184e~8, 25972718e~7, ) -- (0e0, 89766123e~12, )(22595953e~12, 0e0, )(0e0, 85573102e~11, )(43485858e~11, 0e0, )(39757150e~12, 85329218e~11, )(68486748e~10, 22048038e~9, )
aform(2): (107837791e~8, 26401149e~7, ) -- (0e0, 92916872e~12, )(23573617e~12, 0e0, )(0e0, 14997567e~11, )(45050697e~11, 0e0, )(0e0, 74255312e~11, )(41448922e~12, 88908554e~11, )(68358714e~10, 21865068e~9, )
aform(2): (109188256e~8, 26825710e~7, ) -- (0e0, 96112272e~12, )(24575007e~12, 0e0, )(0e0, 15716488e~11, )(46658455e~11, 0e0, )(0e0, 77387386e~11, )(43186670e~12, 92581672e~11, )(68229622e~10, 21680890e~9, )
= Ys: 0 Rss: 1= Groups: 1
=XS: 4 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 4
aform(2): (109100482e~8, 25314468e~7, ) -- (0e0, 86119508e~12, )(22787817e~12, 0e0, )(0e0, 14522151e~11, )(48154161e~11, 0e0, )(0e0, 82846392e~11, )(25331879e~12, 81528452e~11, )(72087111e~10, 21510310e~9, )
aform(2): (110523561e~8, 25731495e~7, ) -- (0e0, 89037251e~12, )(23781095e~12, 0e0, )(0e0, 15231131e~11, )(48556094e~11, 0e0, )(0e0, 85573102e~11, )(39757150e~12, 85329218e~11, )(71931754e~10, 21302988e~9, )
aform(2): (111942880e~8, 26144166e~7, ) -- (0e0, 91994444e~12, )(24798839e~12, 0e0, )(0e0, 30971720e~11, )(50337022e~11, 0e0, )(0e0, 74255312e~11, )(41448922e~12, 88908554e~11, )(71775131e~10, 21094416e~9, )
aform(2): (113358411e~8, 26552462e~7, ) -- (0e0, 94981453e~12, )(25840756e~12, 0e0, )(0e0, 32462526e~11, )(52167498e~11, 0e0, )(0e0, 77387386e~11, )(43186670e~12, 92581672e~11, )(71617261e~10, 20884642e~9, )
=XS: 3 PS: 0 RS: 1 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 3
aform(2): (114522039e~8, 25449224e~7, ) -- (0e0, 87561584e~12, )(24935156e~12, 0e0, )(0e0, 31413050e~11, )(53981664e~11, 0e0, )(0e0, 85573102e~11, )(39757150e~12, 85329218e~11, )(75260346e~10, 20477572e~9, )
aform(2): (116004486e~8, 25844603e~7, ) -- (0e0, 90279021e~12, )(25989116e~12, 0e0, )(0e0, 47949138e~11, )(55994028e~11, 0e0, )(0e0, 74255312e~11, )(41448922e~12, 88908554e~11, )(75071134e~10, 20242398e~9, )
aform(2): (117482421e~8, 26235089e~7, ) -- (0e0, 93009815e~12, )(27067454e~12, 0e0, )(0e0, 50266904e~11, )(58063068e~11, 0e0, )(0e0, 77387386e~11, )(43186670e~12, 92581672e~11, )(74880487e~10, 20006097e~9, )
=XS: 3 PS: 0 RS: 1 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 3
aform(2): (118473216e~8, 25126056e~7, ) -- (0e0, 85316193e~12, )(26046527e~12, 0e0, )(0e0, 48569414e~11, )(59773183e~11, 0e0, )(0e0, 85573102e~11, )(39757150e~12, 85329218e~11, )(78459967e~10, 19574844e~9, )
aform(2): (120015976e~8, 25502693e~7, ) -- (0e0, 87749115e~12, )(27132179e~12, 0e0, )(0e0, 65955834e~11, )(62032649e~11, 0e0, )(0e0, 74255312e~11, )(41448922e~12, 88908554e~11, )(78234009e~10, 19312414e~9, )
aform(2): (121553419e~8, 25873913e~7, ) -- (0e0, 90177640e~12, )(28242154e~12, 0e0, )(0e0, 69157962e~11, )(64356397e~11, 0e0, )(0e0, 77387386e~11, )(43186670e~12, 92581672e~11, )(78006439e~10, 19049013e~9, )
=XS: 3 PS: 0 RS: 1 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 3
aform(2): (122370739e~8, 24762461e~7, ) -- (0e0, 82292949e~12, )(27103517e~12, 0e0, )(0e0, 66723416e~11, )(65940427e~11, 0e0, )(0e0, 85573102e~11, )(39757150e~12, 85329218e~11, )(81518536e~10, 18598944e~9, )
aform(2): (123970778e~8, 25119006e~7, ) -- (0e0, 84399448e~12, )(28215726e~12, 0e0, )(0e0, 19061370e~11, )(68462989e~11, 0e0, )(0e0, 65955834e~11, )(0e0, 74255312e~11, )(41448922e~12, 88908554e~11, )(81251573e~10, 18308994e~9, )
aform(2): (125564613e~8, 25469612e~7, ) -- (0e0, 86482907e~12, )(29351933e~12, 0e0, )(0e0, 20005807e~11, )(71057923e~11, 0e0, )(0e0, 69157962e~11, )(0e0, 77387386e~11, )(43186670e~12, 92581672e~11, )(80982848e~10, 18018325e~9, )
=XS: 3 PS: 0 RS: 1 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 3
aform(2): (126208352e~8, 24359224e~7, ) -- (0e0, 78499788e~12, )(28094617e~12, 0e0, )(0e0, 11900538e~11, )(65518401e~12, 0e0, )(0e0, 66723416e~11, )(65940427e~11, ~72744671e~12, )(0e0, 85573102e~11, )(39757150e~12, 85329218e~11, )(84424621e~10, 17555075e~9, )
aform(2): (127862435e~8, 24694447e~7, ) -- (0e0, 80242199e~12, )(29227706e~12, 0e0, )(0e0, 31471057e~11, )(68313406e~12, 0e0, )(68462989e~11, ~77320876e~12, )(0e0, 65955834e~11, )(0e0, 74255312e~11, )(41448922e~12, 88908554e~11, )(84112354e~10, 17237765e~9, )
aform(2): (129509346e~8, 25023223e~7, ) -- (0e0, 81942542e~12, )(30384195e~12, 0e0, )(0e0, 32942975e~11, )(71193547e~12, 0e0, )(71057923e~11, ~82118136e~12, )(0e0, 69157962e~11, )(0e0, 77387386e~11, )(43186670e~12, 92581672e~11, )(83798211e~10, 16920099e~9, )
=XS: 3 PS: 0 RS: 1 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 3
aform(2): (129979948e~8, 23917449e~7, ) -- (0e0, 75499892e~12, )(29008763e~12, 0e0, )(0e0, 24687564e~11, )(13382848e~11, 0e0, )(0e0, 66723416e~11, )(65826764e~11, ~14572499e~11, )(0e0, 85573102e~11, )(39757150e~12, 85329218e~11, )(87167602e~10, 16449450e~9, )
aform(2): (131684658e~8, 24230261e~7, ) -- (0e0, 80906004e~12, )(30156608e~12, 0e0, )(0e0, 44818422e~11, )(13951279e~11, 0e0, )(68342176e~11, ~15480475e~11, )(0e0, 65955834e~11, )(0e0, 74255312e~11, )(41448922e~12, 88908554e~11, )(86805754e~10, 16105390e~9, )
aform(2): (133381151e~8, 24536135e~7, ) -- (0e0, 86583862e~12, )(31326992e~12, 0e0, )(0e0, 46871777e~11, )(14536935e~11, 0e0, )(70929614e~11, ~16431455e~11, )(0e0, 69157962e~11, )(0e0, 77387386e~11, )(43186670e~12, 92581672e~11, )(86441977e~10, 15761460e~9, )
=XS: 3 PS: 0 RS: 1 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 3
aform(2): (135431379e~8, 23728014e~7, ) -- (0e0, 90076886e~12, )(30989948e~12, 0e0, )(0e0, 59680628e~11, )(21373690e~11, 0e0, )(68100293e~11, ~23185230e~11, )(0e0, 65955834e~11, )(0e0, 74255312e~11, )(41448922e~12, 88908554e~11, )(89322222e~10, 14919477e~9, )
aform(2): (137173804e~8, 24010081e~7, ) -- (0e0, 96156284e~12, )(32167852e~12, 0e0, )(0e0, 62816493e~11, )(22273696e~11, 0e0, )(70672872e~11, ~24593727e~11, )(0e0, 69157962e~11, )(0e0, 77387386e~11, )(43186670e~12, 92581672e~11, )(88904705e~10, 14550488e~9, )
aform(2): (129979948e~8, 23917449e~7, ) -- (0e0, 75499892e~12, )(29008763e~12, 0e0, )(0e0, 24687564e~11, )(13382848e~11, 0e0, )(0e0, 66723416e~11, )(65826764e~11, ~14572499e~11, )(0e0, 85573102e~11, )(39757150e~12, 85329218e~11, )(87167602e~10, 16449450e~9, )
=XS: 3 PS: 0 RS: 1 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 3
aform(2): (131839318e~8, 23682475e~7, ) -- (0e0, 14106248e~12, )(49563325e~13, 0e0, )(0e0, 35381720e~11, )(18392082e~11, 0e0, )(0e0, 66723416e~11, )(65712916e~11, ~18205798e~11, )(0e0, 85573102e~11, )(39757150e~12, 85329218e~11, )(88452715e~10, 15869329e~9, )
aform(2): (135431379e~8, 23728014e~7, ) -- (0e0, 90076886e~12, )(30989948e~12, 0e0, )(0e0, 59680628e~11, )(21373690e~11, 0e0, )(68100293e~11, ~23185230e~11, )(0e0, 65955834e~11, )(0e0, 74255312e~11, )(41448922e~12, 88908554e~11, )(89322222e~10, 14919477e~9, )
aform(2): (137173804e~8, 24010081e~7, ) -- (0e0, 96156284e~12, )(32167852e~12, 0e0, )(0e0, 62816493e~11, )(22273696e~11, 0e0, )(70672872e~11, ~24593727e~11, )(0e0, 69157962e~11, )(0e0, 77387386e~11, )(43186670e~12, 92581672e~11, )(88904705e~10, 14550488e~9, )
ML_statistics = :now=1464100490.79tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=8workers_active=2workers_waiting=0full_GCs=4partial_GCs=989size_allocation=2494562304size_allocation_free=2494562304size_heap=6286258176size_heap_free_last_full_GC=1134056size_heap_free_last_GC=2495402096threads_in_ML=1threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1848.952time_GC=110.692user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0
=XS: 3 PS: 1 RS: 1 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 3
aform(2): (137274781e~8, 23463113e~7, ) -- (0e0, 16138214e~12, )(52834590e~13, 0e0, )(0e0, 13171896e~11, )(26799324e~11, 0e0, )(0e0, 59680628e~11, )(67919158e~11, ~26985565e~11, )(0e0, 65955834e~11, )(0e0, 74255312e~11, )(41448922e~12, 88908554e~11, )(90487806e~10, 14303967e~9, )
aform(2): (139038766e~8, 23732986e~7, ) -- (0e0, 17047725e~12, )(54619410e~13, 0e0, )(0e0, 14093675e~11, )(27924593e~11, 0e0, )(0e0, 62816493e~11, )(70480734e~11, ~28613409e~11, )(0e0, 69157962e~11, )(0e0, 77387386e~11, )(43186670e~12, 92581672e~11, )(90041462e~10, 13923288e~9, )
aform(2): (133679976e~8, 23438414e~7, ) -- (0e0, 14678807e~12, )(50307359e~13, 0e0, )(0e0, 40222303e~11, )(21031671e~11, 0e0, )(0e0, 66723416e~11, )(65570683e~11, ~21820037e~11, )(0e0, 85573102e~11, )(39757150e~12, 85329218e~11, )(89692506e~10, 15277187e~9, )
=XS: 3 PS: 4 RS: 1 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 3
aform(2): (139097144e~8, 23189419e~7, ) -- (0e0, 16694509e~12, )(53467980e~13, 0e0, )(0e0, 19278873e~11, )(29699469e~11, 0e0, )(0e0, 59680628e~11, )(67708334e~11, ~30747854e~11, )(0e0, 65955834e~11, )(0e0, 74255312e~11, )(41448922e~12, 88908554e~11, )(91605303e~10, 13679045e~9, )
aform(2): (140881731e~8, 23446939e~7, ) -- (0e0, 17623006e~12, )(55243770e~13, 0e0, )(0e0, 20629116e~11, )(30953194e~11, 0e0, )(0e0, 62816493e~11, )(70257191e~11, ~32589383e~11, )(0e0, 69157962e~11, )(0e0, 77387386e~11, )(43186670e~12, 92581672e~11, )(91129218e~10, 13287187e~9, )
aform(2): (135501221e~8, 23185490e~7, ) -- (0e0, 15233821e~12, )(50999570e~13, 0e0, )(0e0, 45413475e~11, )(23716988e~11, 0e0, )(0e0, 66723416e~11, )(65400214e~11, ~25408286e~11, )(0e0, 85573102e~11, )(39757150e~12, 85329218e~11, )(90886036e~10, 14674072e~9, )
=XS: 3 PS: 7 RS: 1 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 1
aform(2): (142702010e~8, 23152243e~7, ) -- (0e0, 18170873e~12, )(55806762e~13, 0e0, )(0e0, 27584142e~11, )(34039569e~11, 0e0, )(0e0, 62816493e~11, )(70002587e~11, ~36513741e~11, )(0e0, 69157962e~11, )(0e0, 77387386e~11, )(43186670e~12, 92581672e~11, )(92167280e~10, 12643420e~9, )
=XS: 1 PS: 8 RS: 1 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 0
= Collecting: 8aforms ... = Collected to  4 aforms!
aform(2): (132680571e~8, 2328125e~6, ) -- (18390787e~9, 0e0, )
aform(2): (136358728e~8, 2328125e~6, ) -- (18390787e~9, 0e0, )
aform(2): (140036886e~8, 2328125e~6, ) -- (18390787e~9, 0e0, )
aform(2): (143715043e~8, 2328125e~6, ) -- (18390787e~9, 0e0, )
= Ys: 1 Rss: 1= Groups: 2
=XS: 1 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 1
aform(2): (113035110e~8, 25048967e~7, ) -- (0e0, 84867938e~12, )(23906021e~12, 0e0, )(0e0, 29946755e~11, )(53362782e~11, 0e0, )(0e0, 82846392e~11, )(25331879e~12, 81528452e~11, )(75448097e~10, 20711556e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 1
aform(2): (116925170e~8, 24744014e~7, ) -- (0e0, 82890045e~12, )(24985811e~12, 0e0, )(0e0, 46295348e~11, )(58922294e~11, 0e0, )(0e0, 82846392e~11, )(25331879e~12, 81528452e~11, )(78684278e~10, 19836224e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 1
aform(2): (120764527e~8, 24399983e~7, ) -- (0e0, 80175243e~12, )(26016100e~12, 0e0, )(0e0, 63589137e~11, )(64842157e~11, 0e0, )(0e0, 82846392e~11, )(25331879e~12, 81528452e~11, )(81783688e~10, 18888081e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 1
aform(2): (124547129e~8, 24017549e~7, ) -- (0e0, 76727680e~12, )(26985913e~12, 0e0, )(0e0, 11276046e~11, )(62888560e~12, 0e0, )(0e0, 63589137e~11, )(64842157e~11, ~69840121e~12, )(0e0, 82846392e~11, )(25331879e~12, 81528452e~11, )(84734950e~10, 17871918e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 1
aform(2): (128267050e~8, 23597684e~7, ) -- (0e0, 72567003e~12, )(27884639e~12, 0e0, )(0e0, 23389198e~11, )(12845511e~11, 0e0, )(0e0, 63589137e~11, )(64733032e~11, ~13998379e~11, )(0e0, 82846392e~11, )(25331879e~12, 81528452e~11, )(87527438e~10, 16793508e~9, )
=XS: 1 PS: 0 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 1
aform(2): (128267050e~8, 23597684e~7, ) -- (0e0, 72567003e~12, )(27884639e~12, 0e0, )(0e0, 23389198e~11, )(12845511e~11, 0e0, )(0e0, 63589137e~11, )(64733032e~11, ~13998379e~11, )(0e0, 82846392e~11, )(25331879e~12, 81528452e~11, )(87527438e~10, 16793508e~9, )
=XS: 1 PS: 1 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 1
aform(2): (130101882e~8, 23374041e~7, ) -- (0e0, 13320972e~12, )(47829103e~13, 0e0, )(0e0, 33496305e~11, )(17654369e~11, 0e0, )(0e0, 63589137e~11, )(64623669e~11, ~17495014e~11, )(0e0, 82846392e~11, )(25331879e~12, 81528452e~11, )(88839430e~10, 16226521e~9, )
=XS: 1 PS: 2 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 1
aform(2): (131918895e~8, 23141533e~7, ) -- (0e0, 13868724e~12, )(48573936e~13, 0e0, )(0e0, 37945155e~11, )(20185761e~11, 0e0, )(0e0, 63589137e~11, )(64486989e~11, ~20975856e~11, )(0e0, 82846392e~11, )(25331879e~12, 81528452e~11, )(90107127e~10, 15647181e~9, )
=XS: 1 PS: 3 RS: 0 Flowing towards: (0e0, 1e0, ) -- 2328125e~6
=XS above: 0
= Collecting: 3aforms ... = Collected to  2 aforms!
aform(2): (129145824e~8, 2328125e~6, ) -- (18614141e~9, 0e0, )
aform(2): (132868652e~8, 2328125e~6, ) -- (18614141e~9, 0e0, )
= Ys: 1 Rss: 0"[([((FloatR 6118811358681045664 (- 62), FloatR 335518172239101952 (- 57)),
     Pdevs
      (Abs_slist
        [(1, FloatR 0 (- 57), FloatR 0 (- 57)),
         (0, FloatR 84812538188781472 (- 62), FloatR 0 (- 62))])),
    ((FloatR 6288436435058608608 (- 62), FloatR 335518172239101952 (- 57)),
     Pdevs
      (Abs_slist
        [(1, FloatR 0 (- 57), FloatR 0 (- 57)),
         (0, FloatR 84812538188781472 (- 62), FloatR 0 (- 62))])),
    ((FloatR 6458061511436171552 (- 62), FloatR 335518172239101952 (- 57)),
     Pdevs
      (Abs_slist
        [(1, FloatR 0 (- 57), FloatR 0 (- 57)),
         (0, FloatR 84812538188781472 (- 62), FloatR 0 (- 62))])),
    ((FloatR 6627686587813734496 (- 62), FloatR 335518172239101952 (- 57)),
     Pdevs
      (Abs_slist
        [(1, FloatR 0 (- 57), FloatR 0 (- 57)),
         (0, FloatR 84812538188781472 (- 62), FloatR 0 (- 62))]))],
   (FloatR 0 0, FloatR 0 0), FloatR 0 0),
  ([((FloatR 2977899964579259424 (- 61), FloatR 335518172239101952 (- 57)),
     Pdevs
      (Abs_slist
        [(1, FloatR 0 (- 57), FloatR 0 (- 57)),
         (0, FloatR 42921287788764832 (- 61), FloatR 0 (- 61))])),
    ((FloatR 3063742540156789088 (- 61), FloatR 335518172239101952 (- 57)),
     Pdevs
      (Abs_slist
        [(1, FloatR 0 (- 57), FloatR 0 (- 57)),
         (0, FloatR 42921287788764832 (- 61), FloatR 0 (- 61))]))],
   (FloatR 0 0, FloatR 0 0), FloatR 0 0)]"
  :: "(((real \<times> real) \<times>
        (real \<times> real) pdevs) list \<times>
       (real \<times> real) \<times> real) list"
command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Ex/Example_van_der_Pol.thyoffset=2448name=valueelapsed=21.171
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*** Failed to finish proof (line 148 of "~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thy"):
*** goal (1 subgoal):
***  1. \<bar>(\<Sum>x\<in>p. case x of (x, k) \<Rightarrow> content k * f x) -
***           I\<bar>
***     < e \<Longrightarrow>
***     \<bar>I -
***           (\<Sum>x\<in>p.
***              case x of (x, k) \<Rightarrow> content k * f x)\<bar> *
***     norm y
***     \<le> norm y * e
*** At command "by" (line 147 of "~~/afp/thys/Ordinary_Differential_Equations/Numerics/Runge_Kutta.thy")