Session.name = Ordinary_Differential_Equations Loading theory "Code_Abstract_Nat" (required by "Approximation" via "Code_Target_Numeral" via "Code_Target_Nat") loading_theory = Code_Abstract_Nat Loading theory "Dense_Linear_Order" (required by "Approximation") Loading theory "Code_Target_Int" (required by "Approximation" via "Code_Target_Numeral") loading_theory = Code_Target_Int loading_theory = Dense_Linear_Order Loading theory "Diagonal_Subsequence" loading_theory = Diagonal_Subsequence Loading theory "Lattice_Algebras" (required by "Approximation" via "Float") loading_theory = Lattice_Algebras Loading theory "Log_Nat" (required by "Approximation" via "Float") loading_theory = Log_Nat command_timing = :file=~~/src/HOL/Library/Code_Abstract_Nat.thyoffset=179name=theoryelapsed=0.205 command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=172name=theoryelapsed=0.211 command_timing = :file=~~/src/HOL/Library/Code_Abstract_Nat.thyoffset=714name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=219name=code_datatypeelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Code_Abstract_Nat.thyoffset=629name=lemmaelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=164name=theoryelapsed=0.219 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=207name=definitionelapsed=0.023 ML_statistics = :now=1489540460.68tasks_ready=0tasks_pending=4tasks_running=7tasks_passive=0tasks_urgent=0workers_total=16workers_active=7workers_waiting=0full_GCs=0partial_GCs=0size_allocation=308281344size_allocation_free=307979184size_heap=308281344size_heap_free_last_full_GC=0size_heap_free_last_GC=0threads_in_ML=0threads_total=19threads_wait_condvar=10threads_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 command_timing = :file=~~/src/HOL/Library/Code_Abstract_Nat.thyoffset=1122name=lemmaelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=763name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=321name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=808name=definitionelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=891name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=596name=haveelapsed=0.010 ### Code generator: dropping subsumed code equation ### 1 \ Int.Pos num.One ### Code generator: dropping subsumed code equation ### Int.Neg ?m + Int.Neg ?n \ Int.Neg (?m + ?n) ### Code generator: dropping subsumed code equation ### Int.Neg ?m + Int.Pos ?n \ Int.sub ?n ?m ### Code generator: dropping subsumed code equation ### Int.Pos ?m + Int.Neg ?n \ Int.sub ?m ?n ### Code generator: dropping subsumed code equation ### Int.Pos ?m + Int.Pos ?n \ Int.Pos (?m + ?n) ### Code generator: dropping subsumed code equation ### 0 + ?l \ ?l ### Code generator: dropping subsumed code equation ### ?k + 0 \ ?k command_timing = :file=~~/src/HOL/Library/Code_Abstract_Nat.thyoffset=1398name=setupelapsed=0.045 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=110name=theoryelapsed=0.287 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=1820name=lemmaelapsed=0.018 ### Code generator: dropping subsumed code equation ### - Int.Neg ?m \ Int.Pos ?m ### Code generator: dropping subsumed code equation ### - Int.Pos ?m \ Int.Neg ?m ### theory "Code_Abstract_Nat" ### 0.322s elapsed time, 1.436s cpu time, 0.000s GC time ### Code generator: dropping subsumed code equation ### - 0 \ 0 Loading theory "Code_Target_Nat" (required by "Approximation" via "Code_Target_Numeral") loading_theory = Code_Target_Nat ### Code generator: dropping subsumed code equation ### Int.Neg ?m - Int.Neg ?n \ Int.sub ?n ?m ### Code generator: dropping subsumed code equation ### Int.Neg ?m - Int.Pos ?n \ Int.Neg (?m + ?n) ### Code generator: dropping subsumed code equation ### Int.Pos ?m - Int.Neg ?n \ Int.Pos (?m + ?n) ### Code generator: dropping subsumed code equation ### Int.Pos ?m - Int.Pos ?n \ Int.sub ?m ?n ### Code generator: dropping subsumed code equation ### 0 - ?l \ - ?l ### Code generator: dropping subsumed code equation ### ?k - 0 \ ?k ### Code generator: dropping subsumed code equation ### Int.dup (Int.Neg ?n) \ Int.Neg (num.Bit0 ?n) ### Code generator: dropping subsumed code equation ### Int.dup (Int.Pos ?n) \ Int.Pos (num.Bit0 ?n) ### Code generator: dropping subsumed code equation ### Int.dup 0 \ 0 command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=85name=theoryelapsed=0.324 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=3082name=lemmaelapsed=0.012 ### Code generator: dropping subsumed code equation ### Int.Neg ?m * Int.Neg ?n \ Int.Pos (?m * ?n) ### Code generator: dropping subsumed code equation ### Int.Neg ?m * Int.Pos ?n \ Int.Neg (?m * ?n) ### Code generator: dropping subsumed code equation ### Int.Pos ?m * Int.Neg ?n \ Int.Neg (?m * ?n) ### Code generator: dropping subsumed code equation ### Int.Pos ?m * Int.Pos ?n \ Int.Pos (?m * ?n) ### Code generator: dropping subsumed code equation ### 0 * ?l \ 0 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=228name=theoryelapsed=0.234 ### Code generator: dropping subsumed code equation ### ?k * 0 \ 0 ### Code generator: dropping subsumed code equation ### Int.Neg ?m div Int.Neg ?n \ fst (divmod ?m ?n) ### Code generator: dropping subsumed code equation ### Int.Pos ?m div Int.Neg ?n \ - Divides.adjust_div (divmod ?m ?n) ### Code generator: dropping subsumed code equation ### Int.Neg ?m div Int.Pos ?n \ - Divides.adjust_div (divmod ?m ?n) ### Code generator: dropping subsumed code equation ### Int.Pos ?m div Int.Pos ?n \ fst (divmod ?m ?n) ### Code generator: dropping subsumed code equation ### ?k div Int.Neg num.One \ - ?k ### Code generator: dropping subsumed code equation ### ?k div Int.Pos num.One \ ?k ### Code generator: dropping subsumed code equation ### 0 div ?k \ 0 ### Code generator: dropping subsumed code equation ### ?k div 0 \ 0 locale subseqs = fixes P :: "nat \ (nat \ nat) \ bool" assumes "subseqs P" command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=141name=localeelapsed=0.017 ### Code generator: dropping subsumed code equation ### Int.Neg ?m mod Int.Neg ?n \ - snd (divmod ?m ?n) ### Code generator: dropping subsumed code equation ### Int.Pos ?m mod Int.Neg ?n \ ### - Divides.adjust_mod (Int.Pos ?n) (snd (divmod ?m ?n)) ### Code generator: dropping subsumed code equation ### Int.Neg ?m mod Int.Pos ?n \ ### Divides.adjust_mod (Int.Pos ?n) (snd (divmod ?m ?n)) ### Code generator: dropping subsumed code equation ### Int.Pos ?m mod Int.Pos ?n \ snd (divmod ?m ?n) ### Code generator: dropping subsumed code equation ### ?k mod Int.Neg num.One \ 0 ### Code generator: dropping subsumed code equation ### ?k mod Int.Pos num.One \ 0 ### Code generator: dropping subsumed code equation ### 0 mod ?k \ 0 ### Code generator: dropping subsumed code equation ### ?k mod 0 \ ?k command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=3871name=lemmaelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=380name=byelapsed=0.100 ### Code generator: dropping subsumed code equation ### divmod (num.Bit1 ?m) (num.Bit1 ?n) \ ### 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) \ ### if ?m \ ?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) \ ### case divmod ?m ?n of (q, r) \ (q, 2 * r + 1) ### Code generator: dropping subsumed code equation ### divmod (num.Bit0 ?m) (num.Bit0 ?n) \ ### case divmod ?m ?n of (q, r) \ (q, 2 * r) ### Code generator: dropping subsumed code equation ### divmod num.One (num.Bit1 ?n) \ (0, Numeral1) ### Code generator: dropping subsumed code equation ### divmod num.One (num.Bit0 ?n) \ (0, Numeral1) command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=720name=byelapsed=0.079 ### Code generator: dropping subsumed code equation ### divmod (num.Bit1 ?m) num.One \ (numeral (num.Bit1 ?m), 0) ### Code generator: dropping subsumed code equation ### divmod (num.Bit0 ?m) num.One \ (numeral (num.Bit0 ?m), 0) ### Code generator: dropping subsumed code equation ### divmod num.One num.One \ (Numeral1, 0) command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=267name=definitionelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=4136name=lemmaelapsed=0.012 ### Code generator: dropping subsumed code equation ### equal_class.equal ?k ?k \ True ### Code generator: dropping subsumed code equation ### equal_class.equal (Int.Neg ?k) (Int.Neg ?l) \ equal_class.equal ?k ?l ### Code generator: dropping subsumed code equation ### equal_class.equal (Int.Neg ?k) (Int.Pos ?l) \ False ### Code generator: dropping subsumed code equation ### equal_class.equal (Int.Neg ?k) 0 \ False ### Code generator: dropping subsumed code equation ### equal_class.equal (Int.Pos ?k) (Int.Neg ?l) \ False ### Code generator: dropping subsumed code equation ### equal_class.equal (Int.Pos ?k) (Int.Pos ?l) \ equal_class.equal ?k ?l ### Code generator: dropping subsumed code equation ### equal_class.equal (Int.Pos ?k) 0 \ False ### Code generator: dropping subsumed code equation ### equal_class.equal 0 (Int.Neg ?l) \ False ### Code generator: dropping subsumed code equation ### equal_class.equal 0 (Int.Pos ?l) \ False ### Code generator: dropping subsumed code equation ### equal_class.equal 0 0 \ True ### Code generator: dropping subsumed code equation ### Int.Neg ?k \ Int.Neg ?l \ ?l \ ?k ### Code generator: dropping subsumed code equation ### Int.Neg ?k \ Int.Pos ?l \ True ### Code generator: dropping subsumed code equation ### Int.Neg ?k \ 0 \ True ### Code generator: dropping subsumed code equation ### Int.Pos ?k \ Int.Neg ?l \ False ### Code generator: dropping subsumed code equation ### Int.Pos ?k \ Int.Pos ?l \ ?k \ ?l ### Code generator: dropping subsumed code equation ### Int.Pos ?k \ 0 \ False ### Code generator: dropping subsumed code equation ### 0 \ Int.Neg ?l \ False ### Code generator: dropping subsumed code equation ### 0 \ Int.Pos ?l \ True ### Code generator: dropping subsumed code equation ### 0 \ 0 \ True ### Code generator: dropping subsumed code equation ### Int.Neg ?k < Int.Neg ?l \ ?l < ?k ### Code generator: dropping subsumed code equation ### Int.Neg ?k < Int.Pos ?l \ True ### Code generator: dropping subsumed code equation ### Int.Neg ?k < 0 \ True command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=777name=byelapsed=0.019 ### Code generator: dropping subsumed code equation ### Int.Pos ?k < Int.Neg ?l \ False ### Code generator: dropping subsumed code equation ### Int.Pos ?k < Int.Pos ?l \ ?k < ?l ### Code generator: dropping subsumed code equation ### Int.Pos ?k < 0 \ False ### Code generator: dropping subsumed code equation ### 0 < Int.Neg ?l \ False ### Code generator: dropping subsumed code equation ### 0 < Int.Pos ?l \ True ### Code generator: dropping subsumed code equation ### 0 < 0 \ False command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=4442name=definitionelapsed=0.022 consts seqseq :: "nat \ nat \ nat" command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=841name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=608name=primrecelapsed=0.030 ### 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=0.086 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=1692name=byelapsed=0.049 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=902name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=1070name=definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=5509name=lemmaelapsed=0.012 ### theory "Log_Nat" ### 0.467s elapsed time, 2.540s cpu time, 0.000s GC time command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=172name=theoryelapsed=0.161 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=1737name=byelapsed=0.075 command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=328name=lift_definitionelapsed=0.025 consts fold_reduce :: "nat \ nat \ nat \ nat" command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=1473name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=1988name=haveelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=1758name=primrecelapsed=0.039 command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=1556name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=644name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=2031name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=2047name=showelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=964name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=2080name=byelapsed=0.018 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=0.170 command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=3507name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=2694name=lemmaelapsed=0.203 ### theory "Diagonal_Subsequence" ### 0.619s elapsed time, 3.568s cpu time, 0.000s GC time ### Code generator: dropping subsumed code equation ### Divides.divmod_nat ?m ?n \ ### if ?n = 0 \ ?m < ?n then (0, ?m) ### else let (q, y) = Divides.divmod_nat (?m - ?n) ?n in (Suc q, y) command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=1651name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=2694name=lemmaelapsed=0.014 ### Code generator: dropping subsumed code equation ### of_int (Int.Pos ?k) \ numeral ?k ### Code generator: dropping subsumed code equation ### of_int 0 \ 0::?'a ### Code generator: dropping subsumed code equation ### of_int (Int.Neg ?k) \ - numeral ?k ### Code generator: dropping subsumed code equation ### divmod (num.Bit1 ?m) (num.Bit1 ?n) \ ### 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) \ ### if ?m \ ?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) \ ### case divmod ?m ?n of (q, r) \ (q, 2 * r + 1) ### Code generator: dropping subsumed code equation ### divmod (num.Bit0 ?m) (num.Bit0 ?n) \ ### case divmod ?m ?n of (q, r) \ (q, 2 * r) ### Code generator: dropping subsumed code equation ### nat (Int.Pos ?k) \ nat_of_num ?k ### Code generator: dropping subsumed code equation ### nat 0 \ 0 ### Code generator: dropping subsumed code equation ### nat (Int.Neg ?k) \ 0 ### Code generator: dropping subsumed code equation ### divmod num.One (num.Bit1 ?n) \ (0, Numeral1) ### Code generator: dropping subsumed code equation ### divmod num.One (num.Bit0 ?n) \ (0, Numeral1) ### Code generator: dropping subsumed code equation ### divmod (num.Bit1 ?m) num.One \ (numeral (num.Bit1 ?m), 0) ### Code generator: dropping subsumed code equation ### divmod (num.Bit0 ?m) num.One \ (numeral (num.Bit0 ?m), 0) ### Code generator: dropping subsumed code equation ### divmod num.One num.One \ (Numeral1, 0) command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=3213name=haveelapsed=0.013 ### theory "Code_Target_Int" ### 0.662s elapsed time, 3.800s cpu time, 0.000s GC time command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=2943name=byelapsed=0.131 ### Code generator: dropping subsumed code equation ### Suc ?m \ ?n \ ?m < ?n ### Code generator: dropping subsumed code equation ### 0 \ ?n \ True command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=3264name=byelapsed=0.012 ### Code generator: dropping subsumed code equation ### ?m < Suc ?n \ ?m \ ?n ### Code generator: dropping subsumed code equation ### ?n < 0 \ False command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=3279name=haveelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=2214name=byelapsed=0.101 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=4052name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=2330name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=2347name=haveelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=3332name=byelapsed=0.070 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=980name=byelapsed=0.305 ML_statistics = :now=1489540461.18tasks_ready=61tasks_pending=5tasks_running=8tasks_passive=0tasks_urgent=0workers_total=16workers_active=8workers_waiting=0full_GCs=0partial_GCs=0size_allocation=1366294528size_allocation_free=153178656size_heap=1366294528size_heap_free_last_full_GC=0size_heap_free_last_GC=0threads_in_ML=7threads_total=19threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=11.236time_GC=0user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=2408name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=3407name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=1120name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=3768name=byelapsed=0.126 command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=2722name=lemmaelapsed=0.117 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=3422name=haveelapsed=0.025 ### Code generator: dropping subsumed code equation ### of_nat ?n \ ### semiring_1_class.of_nat_aux (\i. i + (1::?'a)) ?n (0::?'a) command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=4102name=byelapsed=0.098 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=3485name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=3177name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=1296name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=2194name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=2097name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=3475name=lemmaelapsed=0.038 class linorder = order + assumes "linear": "\x y. x \ y \ y \ x" command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=337name=contextelapsed=0.280 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=4312name=byelapsed=0.040 ### Code generator: dropping subsumed code equation ### term_of_class.term_of ?x \ ### 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=3475name=lemmaelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=2456name=byelapsed=0.127 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=1479name=byelapsed=0.056 ### theory "Code_Target_Nat" ### 0.585s elapsed time, 3.968s cpu time, 0.000s GC time Loading theory "Code_Target_Numeral" (required by "Approximation") loading_theory = Code_Target_Numeral command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=3599name=byelapsed=0.095 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=2578name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=4586name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=2593name=haveelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=4831name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=5102name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=2636name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=447name=lemmaelapsed=0.094 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=2704name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=4366name=byelapsed=0.129 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=447name=lemmaelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=2740name=showelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=5355name=byelapsed=0.081 command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=1173name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=5861name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=1164name=lemmaelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=5246name=byelapsed=0.140 command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=462name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=5941name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=1299name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=2242name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=2161name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=1383name=lemmaelapsed=0.080 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=6092name=byelapsed=0.082 command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=2354name=byelapsed=0.081 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=4922name=byelapsed=0.247 command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=806name=byelapsed=0.097 ### Ignoring duplicate rewrite rule: ### of_nat (?m1 * ?n1) \ of_nat ?m1 * of_nat ?n1 command_timing = :file=~~/src/HOL/Library/Diagonal_Subsequence.thyoffset=3290name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Log_Nat.thyoffset=6261name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=2171name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=1639name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Library/Code_Target_Int.thyoffset=3011name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=3457name=byelapsed=0.017 ### Ignoring duplicate rewrite rule: ### of_nat (?m1 * ?n1) \ of_nat ?m1 * of_nat ?n1 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=937name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Code_Target_Nat.thyoffset=3019name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Code_Target_Numeral.thyoffset=188name=theoryelapsed=0.412 ### theory "Code_Target_Numeral" ### 0.415s elapsed time, 2.352s cpu time, 0.148s GC time ML_statistics = :now=1489540461.78tasks_ready=0tasks_pending=2tasks_running=2tasks_passive=0tasks_urgent=0workers_total=16workers_active=2workers_waiting=0full_GCs=0partial_GCs=1size_allocation=2097152000size_allocation_free=2097152000size_heap=2125463552size_heap_free_last_full_GC=0size_heap_free_last_GC=2103791024threads_in_ML=2threads_total=19threads_wait_condvar=15threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=14.02time_GC=0.148user_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=3880name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=3888name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=4042name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=4216name=assumeelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=4737name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=164name=classelapsed=1.157 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=5428name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=7075name=lemmaelapsed=0.027 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=7075name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=7418name=lemmaelapsed=0.041 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=7418name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=7752name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=7762name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=7924name=lemmaelapsed=0.020 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=9623name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=7409name=byelapsed=0.151 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=10365name=contextelapsed=0.129 ML_statistics = :now=1489540462.28tasks_ready=0tasks_pending=4tasks_running=3tasks_passive=0tasks_urgent=0workers_total=16workers_active=3workers_waiting=0full_GCs=0partial_GCs=1size_allocation=2097152000size_allocation_free=1078661904size_heap=2125463552size_heap_free_last_full_GC=0size_heap_free_last_GC=2103791024threads_in_ML=3threads_total=19threads_wait_condvar=14threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=15.672time_GC=0.148user_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=10469name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=11973name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=12453name=lemmaselapsed=0.014 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=12808name=declareelapsed=0.019 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=12919name=declareelapsed=0.014 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=13397name=lemmaselapsed=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=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=13461name=ML_fileelapsed=0.086 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=719name=classelapsed=0.595 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=802name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=1149name=lemmaelapsed=0.011 locale linorder_stupid_syntax = fixes less_eq :: "'a \ 'a \ bool" and less :: "'a \ 'a \ bool" assumes "linorder_stupid_syntax less_eq less" command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=13768name=localeelapsed=0.169 ML_statistics = :now=1489540462.78tasks_ready=0tasks_pending=2tasks_running=2tasks_passive=0tasks_urgent=0workers_total=16workers_active=2workers_waiting=0full_GCs=0partial_GCs=1size_allocation=2423259136size_allocation_free=508393152size_heap=2451570688size_heap_free_last_full_GC=0size_heap_free_last_GC=2103791024threads_in_ML=3threads_total=19threads_wait_condvar=15threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=16.928time_GC=0.148user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 locale linorder_no_ub = fixes less_eq :: "'a \ 'a \ bool" and less :: "'a \ 'a \ bool" assumes "linorder_no_ub op \ op \" command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=13950name=localeelapsed=0.201 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=14448name=byelapsed=0.013 locale linorder_no_lb = fixes less_eq :: "'a \ 'a \ bool" and less :: "'a \ 'a \ bool" assumes "linorder_no_lb op \ op \" command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=15689name=localeelapsed=0.217 ML_statistics = :now=1489540463.28tasks_ready=0tasks_pending=2tasks_running=2tasks_passive=0tasks_urgent=0workers_total=16workers_active=2workers_waiting=0full_GCs=0partial_GCs=1size_allocation=3032481792size_allocation_free=99772624size_heap=3060793344size_heap_free_last_full_GC=0size_heap_free_last_GC=2103791024threads_in_ML=2threads_total=19threads_wait_condvar=15threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=18.712time_GC=0.148user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 locale constr_dense_linorder = fixes less_eq :: "'a \ 'a \ bool" and less :: "'a \ 'a \ bool" and between :: "'a \ 'a \ 'a" assumes "constr_dense_linorder op \ op \ between" command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=17390name=localeelapsed=0.238 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=17599name=sublocaleelapsed=0.016 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=17848name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=18302name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=19753name=theoremelapsed=0.025 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=21038name=lemmaselapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=18406name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=21141name=lemmaselapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=21245name=lemmaselapsed=0.014 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=21338name=lemmaselapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=21431name=lemmaselapsed=0.015 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=1362name=classelapsed=1.043 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=21973name=declarationelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=1429name=subclasselapsed=0.083 ### 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=0.132 ML_statistics = :now=1489540463.78tasks_ready=0tasks_pending=8tasks_running=6tasks_passive=0tasks_urgent=0workers_total=16workers_active=6workers_waiting=0full_GCs=0partial_GCs=1size_allocation=3620732928size_allocation_free=198639120size_heap=3649044480size_heap_free_last_full_GC=0size_heap_free_last_GC=2103791024threads_in_ML=3threads_total=19threads_wait_condvar=11threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=19.704time_GC=0.148user_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=27316name=interpretationelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=27447name=byelapsed=0.023 ### Partially applied constant "Orderings.ord_class.less_eq" on left hand side of equation, in theorem: ### linorder.Min op \ (set (?x # ?xs)) \ ### fold (ord.min op \) ?xs ?x ### Partially applied constant "Orderings.ord_class.less_eq" on left hand side of equation, in theorem: ### linorder.Max op \ (set (?x # ?xs)) \ ### fold (ord.max op \) ?xs ?x command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=27316name=interpretationelapsed=0.117 command_timing = :file=~~/src/HOL/Decision_Procs/Dense_Linear_Order.thyoffset=27483name=declarationelapsed=0.155 ### theory "Dense_Linear_Order" ### 3.566s elapsed time, 13.396s cpu time, 0.148s GC time command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=1429name=subclasselapsed=0.526 ML_statistics = :now=1489540464.29tasks_ready=0tasks_pending=2tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=1size_allocation=3935305728size_allocation_free=119210152size_heap=3963617280size_heap_free_last_full_GC=0size_heap_free_last_GC=2103791024threads_in_ML=2threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=20.708time_GC=0.148user_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=1470name=subclasselapsed=0.110 ML_statistics = :now=1489540464.79tasks_ready=0tasks_pending=2tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=1size_allocation=3994025984size_allocation_free=44992416size_heap=4022337536size_heap_free_last_full_GC=0size_heap_free_last_GC=2103791024threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=21.232time_GC=0.148user_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=1470name=subclasselapsed=0.606 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=1512name=lemmaselapsed=0.025 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=1631name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=1760name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=1903name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=2138name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=2267name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=2412name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=2649name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=2734name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=2845name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=2930name=lemmaelapsed=0.139 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=3497name=definitionelapsed=0.038 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=3554name=definitionelapsed=0.039 ML_statistics = :now=1489540465.38tasks_ready=0tasks_pending=2tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=2size_allocation=4145020928size_allocation_free=4145020928size_heap=4156555264size_heap_free_last_full_GC=0size_heap_free_last_GC=4154043624threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=21.956time_GC=0.432user_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=6817name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=7552name=declareelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=8322name=lemmaelapsed=0.012 ### Ignoring duplicate rewrite rule: ### sup ?x1 (sup ?x1 ?y1) \ sup ?x1 ?y1 ML_statistics = :now=1489540465.89tasks_ready=0tasks_pending=2tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=2size_allocation=4145020928size_allocation_free=3542057632size_heap=4156555264size_heap_free_last_full_GC=0size_heap_free_last_GC=4154043624threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=22.576time_GC=0.432user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540466.39tasks_ready=0tasks_pending=2tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=2size_allocation=4145020928size_allocation_free=2873612392size_heap=4156555264size_heap_free_last_full_GC=0size_heap_free_last_GC=4154043624threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=23.388time_GC=0.432user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 class lattice_ab_group_add_abs = abs + lattice_ab_group_add + assumes "abs_lattice": "\a. \a\ = sup a (- a)" command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=8947name=classelapsed=0.780 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=9059name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=9518name=subclasselapsed=0.068 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=10682name=applyelapsed=0.097 ML_statistics = :now=1489540466.89tasks_ready=0tasks_pending=2tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=2size_allocation=4145020928size_allocation_free=2628393384size_heap=4156555264size_heap_free_last_full_GC=0size_heap_free_last_GC=4154043624threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=23.988time_GC=0.432user_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=9518name=subclasselapsed=0.471 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=10943name=usingelapsed=0.011 ML_statistics = :now=1489540467.39tasks_ready=0tasks_pending=2tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=2size_allocation=4145020928size_allocation_free=2368649736size_heap=4156555264size_heap_free_last_full_GC=0size_heap_free_last_GC=4154043624threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=24.42time_GC=0.432user_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=11624name=classelapsed=0.937 ML_statistics = :now=1489540467.9tasks_ready=0tasks_pending=2tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=2size_allocation=4145020928size_allocation_free=2050840032size_heap=4156555264size_heap_free_last_full_GC=0size_heap_free_last_GC=4154043624threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=24.82time_GC=0.432user_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=11692name=subclasselapsed=0.069 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=11692name=subclasselapsed=0.227 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=11733name=subclasselapsed=0.069 ML_statistics = :now=1489540468.4tasks_ready=0tasks_pending=2tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=2size_allocation=4145020928size_allocation_free=1668338120size_heap=4156555264size_heap_free_last_full_GC=0size_heap_free_last_GC=4154043624threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=25.632time_GC=0.432user_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=11733name=subclasselapsed=0.223 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=12332name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=12442name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=13171name=instanceelapsed=0.062 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=13786name=applyelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=13849name=applyelapsed=0.160 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=14274name=applyelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=13171name=instanceelapsed=0.327 ML_statistics = :now=1489540468.9tasks_ready=0tasks_pending=8tasks_running=6tasks_passive=0tasks_urgent=0workers_total=16workers_active=6workers_waiting=0full_GCs=0partial_GCs=2size_allocation=4145020928size_allocation_free=1111255592size_heap=4156555264size_heap_free_last_full_GC=0size_heap_free_last_GC=4154043624threads_in_ML=3threads_total=19threads_wait_condvar=11threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=26.564time_GC=0.432user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### theory "Lattice_Algebras" ### 8.462s elapsed time, 20.072s cpu time, 0.432s GC time Loading theory "Float" (required by "Approximation") loading_theory = Float command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=14949name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=15036name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=17030name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=16616name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=16912name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=14346name=applyelapsed=0.130 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=15361name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=16799name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=15665name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=15973name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=12457name=applyelapsed=0.826 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=12693name=applyelapsed=0.022 ML_statistics = :now=1489540469.49tasks_ready=0tasks_pending=4tasks_running=4tasks_passive=1tasks_urgent=0workers_total=16workers_active=3workers_waiting=1full_GCs=0partial_GCs=3size_allocation=4089446400size_allocation_free=4089446400size_heap=4155506688size_heap_free_last_full_GC=0size_heap_free_last_GC=4098179456threads_in_ML=1threads_total=19threads_wait_condvar=14threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=28.128time_GC=0.696user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=156name=theoryelapsed=0.545 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=209name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=276name=typedefelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=276name=typedefelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=16017name=byelapsed=0.524 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=364name=setup_liftingelapsed=0.048 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=3048name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=3296name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=2319name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=3884name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=4034name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=4190name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=5367name=lift_definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=2460name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=2549name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=5367name=lift_definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=5243name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=2760name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=5488name=code_datatypeelapsed=0.023 instantiation float :: {equal,linordered_idom} sgn_float == sgn :: float \ float abs_float == abs :: float \ float uminus_float == uminus :: float \ float one_float == one_class.one :: float times_float == times :: float \ float \ float zero_float == zero_class.zero :: float minus_float == minus :: float \ float \ float less_eq_float == less_eq :: float \ float \ bool less_float == less :: float \ float \ bool plus_float == plus :: float \ float \ float equal_float == equal_class.equal :: float \ float \ bool command_timing = :file=~~/src/HOL/Library/Lattice_Algebras.thyoffset=12708name=applyelapsed=0.364 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=5816name=lift_definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=5898name=lift_definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=5978name=lift_definitionelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=6083name=lift_definitionelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=6190name=lift_definitionelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=6297name=lift_definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=6400name=lift_definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=6492name=lift_definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=6584name=lift_definitionelapsed=0.019 ML_statistics = :now=1489540469.99tasks_ready=0tasks_pending=1tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=3size_allocation=4089446400size_allocation_free=3117199744size_heap=4155506688size_heap_free_last_full_GC=0size_heap_free_last_GC=4098179456threads_in_ML=3threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=29.476time_GC=0.696user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=6673name=lift_definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=6777name=lift_definitionelapsed=0.019 instantiation float :: lattice_ab_group_add inf_float == inf :: float \ float \ float sup_float == sup :: float \ float \ float command_timing = :file=~~/src/HOL/Library/Float.thyoffset=8128name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=8015name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=8211name=definitionelapsed=0.016 instantiation float :: exhaustive exhaustive_float == exhaustive_class.exhaustive :: (float \ (bool \ term list) option) \ natural \ (bool \ term list) option command_timing = :file=~~/src/HOL/Library/Float.thyoffset=8305name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=9387name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=9567name=definitionelapsed=0.067 instantiation float :: full_exhaustive full_exhaustive_float == full_exhaustive_class.full_exhaustive :: (float \ (unit \ term) \ (bool \ term list) option) \ natural \ (bool \ term list) option command_timing = :file=~~/src/HOL/Library/Float.thyoffset=6886name=byelapsed=0.179 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=9729name=definitionelapsed=0.017 instantiation float :: random random_float == random_class.random :: natural \ natural \ natural \ (float \ (unit \ term)) \ natural \ natural command_timing = :file=~~/src/HOL/Library/Float.thyoffset=9955name=definitionelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=10940name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=11704name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=10757name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=10822name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=12006name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=10423name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=11299name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=12155name=haveelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=12650name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=12302name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=12875name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=12939name=definitionelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=12423name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=11483name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=10858name=byelapsed=0.058 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=11528name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=12555name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=13162name=definitionelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=11959name=byelapsed=0.093 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=14516name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=17099name=lift_definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=16120name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=17872name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=16271name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=18499name=lift_definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=17400name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=18465name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=16341name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=18732name=lift_definitionelapsed=0.013 ML_statistics = :now=1489540470.5tasks_ready=0tasks_pending=7tasks_running=6tasks_passive=0tasks_urgent=0workers_total=16workers_active=5workers_waiting=0full_GCs=0partial_GCs=3size_allocation=4089446400size_allocation_free=2750407536size_heap=4155506688size_heap_free_last_full_GC=0size_heap_free_last_GC=4098179456threads_in_ML=2threads_total=19threads_wait_condvar=12threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=30.192time_GC=0.696user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=18899name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=18974name=lift_definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=16521name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=19136name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=19255name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=19684name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=16804name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=18174name=byelapsed=0.098 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=19793name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=21170name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=21386name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=23776name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=23869name=definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=22408name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=24086name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=24263name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=24305name=lift_definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=22524name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=24902name=lift_definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=25849name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=29564name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=29351name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=30748name=definitionelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=26017name=applyelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=31258name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=26036name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=32602name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=33452name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=32295name=applyelapsed=0.037 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=33845name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=33689name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=34156name=lift_definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=34072name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=34361name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=34460name=lift_definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=34677name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=35882name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=26596name=byelapsed=0.128 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=36087name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=26842name=haveelapsed=0.010 ML_statistics = :now=1489540471tasks_ready=0tasks_pending=10tasks_running=6tasks_passive=0tasks_urgent=0workers_total=16workers_active=6workers_waiting=0full_GCs=0partial_GCs=3size_allocation=4089446400size_allocation_free=1066603232size_heap=4155506688size_heap_free_last_full_GC=0size_heap_free_last_GC=4098179456threads_in_ML=5threads_total=19threads_wait_condvar=11threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=33.176time_GC=0.696user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=26936name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=37626name=lift_definitionelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=36692name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=27082name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=38209name=lift_definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=38031name=byelapsed=0.076 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=38362name=lemmaelapsed=0.077 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=37541name=byelapsed=0.183 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=40756name=lift_definitionelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=40672name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=40908name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=41312name=lift_definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=29637name=applyelapsed=0.440 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=40365name=byelapsed=0.057 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=35459name=byelapsed=0.269 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=38749name=byelapsed=0.082 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=41312name=lift_definitionelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=40491name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=29999name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=41829name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=42148name=definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=42037name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=42210name=definitionelapsed=0.100 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=37015name=byelapsed=0.335 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=30145name=byelapsed=0.108 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=41265name=byelapsed=0.188 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=42270name=lift_definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=37200name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=42682name=lift_definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=39222name=applyelapsed=0.219 ML_statistics = :now=1489540471.56tasks_ready=0tasks_pending=3tasks_running=2tasks_passive=0tasks_urgent=0workers_total=16workers_active=2workers_waiting=0full_GCs=0partial_GCs=4size_allocation=4050649088size_allocation_free=4050649088size_heap=4164943872size_heap_free_last_full_GC=0size_heap_free_last_GC=4060081176threads_in_ML=3threads_total=19threads_wait_condvar=15threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=35.24time_GC=0.896user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Found termination order: "(\p. size (snd (snd p))) <*mlex*> {}" command_timing = :file=~~/src/HOL/Library/Float.thyoffset=43098name=funelapsed=0.162 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=39243name=applyelapsed=0.232 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=39311name=applyelapsed=0.019 Found termination order: "(\p. size (snd (snd p))) <*mlex*> {}" command_timing = :file=~~/src/HOL/Library/Float.thyoffset=43335name=funelapsed=0.158 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=39677name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=43546name=lift_definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=43619name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=43667name=lift_definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=43744name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=43940name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=46745name=definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=44670name=byelapsed=0.055 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=39900name=applyelapsed=0.117 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=44506name=byelapsed=0.060 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=44433name=byelapsed=0.065 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=45037name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=47045name=lift_definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=47127name=lift_definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=47510name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=47922name=lemmaelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=48731name=lemmaelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=48287name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=48552name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=48128name=byelapsed=0.062 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=52198name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=49107name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=39921name=applyelapsed=0.163 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=45254name=byelapsed=0.145 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=55310name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=52531name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=45310name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=45701name=byelapsed=0.215 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=40012name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=48615name=byelapsed=0.035 ML_statistics = :now=1489540472.06tasks_ready=0tasks_pending=11tasks_running=9tasks_passive=2tasks_urgent=0workers_total=16workers_active=6workers_waiting=3full_GCs=0partial_GCs=4size_allocation=4050649088size_allocation_free=3457125592size_heap=4164943872size_heap_free_last_full_GC=0size_heap_free_last_GC=4060081176threads_in_ML=3threads_total=19threads_wait_condvar=10threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=36.232time_GC=0.896user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=49492name=haveelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=52600name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=45399name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=49566name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=55995name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=49648name=haveelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=49704name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=60868name=lemmaelapsed=0.050 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=52681name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=49748name=haveelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=45877name=byelapsed=0.055 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=56171name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=61841name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=49844name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=46060name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=62447name=lemmaelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=62151name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=50006name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=56295name=byelapsed=0.073 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=50202name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=56374name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=62358name=byelapsed=0.073 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=56469name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=56591name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=50349name=haveelapsed=0.050 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=56671name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=50456name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=50526name=haveelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=56796name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=52800name=byelapsed=0.180 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=50614name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=63086name=byelapsed=0.133 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=63943name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=63307name=byelapsed=0.091 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=56858name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=50751name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=64371name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=64527name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=64239name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=50883name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=66586name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=74529name=lift_definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=50998name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=51148name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=68149name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=51230name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=71088name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=74910name=lift_definitionelapsed=0.024 ### Metis: Unused theorems: "Archimedean_Field.floor_less_cancel" command_timing = :file=~~/src/HOL/Library/Float.thyoffset=66180name=byelapsed=0.061 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=51327name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=71321name=byelapsed=0.014 ### theory "Float" ### 3.470s elapsed time, 13.800s cpu time, 0.464s GC time Loading theory "Approximation" loading_theory = Approximation command_timing = :file=~~/src/HOL/Library/Float.thyoffset=53042name=byelapsed=0.116 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=68410name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=66253name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=71483name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=51407name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=51445name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=73822name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=71685name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=68978name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=53203name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=51527name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=51599name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=71958name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=69323name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=51703name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=72297name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=51765name=haveelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=69570name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=56964name=byelapsed=0.225 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=53348name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=72478name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=74087name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=53454name=haveelapsed=0.013 ML_statistics = :now=1489540472.56tasks_ready=9tasks_pending=9tasks_running=12tasks_passive=2tasks_urgent=0workers_total=16workers_active=8workers_waiting=2full_GCs=0partial_GCs=4size_allocation=4050649088size_allocation_free=635163376size_heap=4164943872size_heap_free_last_full_GC=0size_heap_free_last_GC=4060081176threads_in_ML=8threads_total=19threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=41.62time_GC=0.896user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=69943name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=72843name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=74722name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=74739name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=70068name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=73131name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=73195name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=75123name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=51866name=byelapsed=0.098 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=57078name=byelapsed=0.094 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=75140name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=51997name=haveelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=74791name=applyelapsed=0.059 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=73319name=byelapsed=0.054 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=52062name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=75192name=applyelapsed=0.053 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=57183name=byelapsed=0.066 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=57379name=byelapsed=0.098 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=57513name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=57649name=haveelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=53548name=byelapsed=0.315 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=53601name=haveelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=57823name=byelapsed=0.073 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=57998name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=53746name=byelapsed=0.158 ML_statistics = :now=1489540473.11tasks_ready=0tasks_pending=7tasks_running=4tasks_passive=0tasks_urgent=0workers_total=16workers_active=4workers_waiting=0full_GCs=0partial_GCs=5size_allocation=4030726144size_allocation_free=4030726144size_heap=4152360960size_heap_free_last_full_GC=0size_heap_free_last_GC=4040478768threads_in_ML=1threads_total=19threads_wait_condvar=13threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=42.732time_GC=1.2user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=58129name=byelapsed=0.252 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=58268name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=53932name=byelapsed=0.267 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=53973name=haveelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=54052name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=54142name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=54178name=haveelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=54274name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=54494name=byelapsed=0.048 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=147name=theoryelapsed=0.920 consts horner :: "(nat \ nat) \ (nat \ nat \ nat) \ nat \ nat \ nat \ real \ real" command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=464name=primrecelapsed=0.067 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=930name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=58518name=byelapsed=0.293 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=1174name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=1187name=lemmaelapsed=0.052 ML_statistics = :now=1489540473.61tasks_ready=0tasks_pending=9tasks_running=6tasks_passive=0tasks_urgent=0workers_total=16workers_active=5workers_waiting=0full_GCs=0partial_GCs=5size_allocation=4036030464size_allocation_free=2322756136size_heap=4152422400size_heap_free_last_full_GC=0size_heap_free_last_GC=4040478768threads_in_ML=5threads_total=19threads_wait_condvar=12threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=46.124time_GC=1.2user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=59380name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=59559name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=1676name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=1689name=lemmaelapsed=0.105 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=54625name=byelapsed=0.309 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=59781name=byelapsed=0.127 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=59946name=byelapsed=0.067 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=3299name=lemmaelapsed=0.147 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=54826name=byelapsed=0.077 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=4251name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=54894name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=2755name=byelapsed=0.201 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=55008name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=4282name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=55082name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=60066name=byelapsed=0.134 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=60119name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=4295name=lemmaelapsed=0.137 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=60207name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=6016name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=5154name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=6104name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=60285name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=5303name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=6350name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=6435name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=5419name=fromelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=6703name=definitionelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=55211name=byelapsed=0.146 ML_statistics = :now=1489540474.11tasks_ready=0tasks_pending=9tasks_running=7tasks_passive=0tasks_urgent=0workers_total=16workers_active=6workers_waiting=0full_GCs=0partial_GCs=5size_allocation=4036030464size_allocation_free=1182061024size_heap=4152422400size_heap_free_last_full_GC=0size_heap_free_last_GC=4040478768threads_in_ML=5threads_total=19threads_wait_condvar=11threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=48.104time_GC=1.2user_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=7638name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=7837name=definitionelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=60442name=byelapsed=0.107 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=8308name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=60531name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=8976name=definitionelapsed=0.018 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=5692name=byelapsed=0.101 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=7785name=byelapsed=0.063 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=9182name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=60660name=byelapsed=0.077 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=9838name=byelapsed=0.011 Found termination order: "(\p. size (fst (snd p))) <*mlex*> {}" command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=10269name=funelapsed=0.190 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=10575name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=10898name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=10921name=functionelapsed=0.166 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=11305name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=10921name=functionelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Float.thyoffset=61634name=byelapsed=2.476 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=11342name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=11719name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=12214name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=17392name=lemmaelapsed=0.010 ML_statistics = :now=1489540474.64tasks_ready=0tasks_pending=11tasks_running=10tasks_passive=2tasks_urgent=0workers_total=16workers_active=8workers_waiting=2full_GCs=0partial_GCs=6size_allocation=3976261632size_allocation_free=3976261632size_heap=4157616128size_heap_free_last_full_GC=0size_heap_free_last_GC=3985246608threads_in_ML=3threads_total=19threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=50.64time_GC=1.288user_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=11900name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=7384name=byelapsed=0.547 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=11959name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=12406name=haveelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=12494name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=12611name=proofelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=17323name=byelapsed=0.070 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=13311name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=13641name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=13655name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=8637name=byelapsed=0.709 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=13799name=byelapsed=0.109 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=14305name=byelapsed=0.015 Found termination order: "case_sum (\p. size (fst (snd p))) (\p. size (fst (snd p))) <*mlex*> {}" command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=18324name=funelapsed=0.469 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=19061name=letelapsed=0.011 ML_statistics = :now=1489540475.14tasks_ready=0tasks_pending=12tasks_running=8tasks_passive=0tasks_urgent=0workers_total=16workers_active=8workers_waiting=0full_GCs=0partial_GCs=6size_allocation=3976261632size_allocation_free=3033983400size_heap=4157616128size_heap_free_last_full_GC=0size_heap_free_last_GC=3985246608threads_in_ML=3threads_total=19threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=52.436time_GC=1.288user_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=22817name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=23321name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=19432name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=22558name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=24596name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=22975name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=21742name=byelapsed=0.070 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=23289name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=25182name=definitionelapsed=0.028 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=22273name=byelapsed=0.077 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=24975name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=20022name=noteelapsed=0.020 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=25642name=definitionelapsed=0.034 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=23783name=byelapsed=0.051 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=20641name=applyelapsed=0.042 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=22018name=byelapsed=0.153 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=24583name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=27502name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=21248name=applyelapsed=0.072 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=21354name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=28489name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=28785name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=29028name=functionelapsed=0.265 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=8818name=byelapsed=0.656 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=30728name=byelapsed=0.055 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=29028name=functionelapsed=0.062 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=30753name=terminationelapsed=0.016 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=30765name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=31695name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=36903name=byelapsed=0.010 ML_statistics = :now=1489540475.65tasks_ready=0tasks_pending=8tasks_running=8tasks_passive=0tasks_urgent=0workers_total=16workers_active=7workers_waiting=0full_GCs=0partial_GCs=6size_allocation=3976261632size_allocation_free=1109737352size_heap=4157616128size_heap_free_last_full_GC=0size_heap_free_last_GC=3985246608threads_in_ML=5threads_total=19threads_wait_condvar=10threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=55.956time_GC=1.288user_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=41850name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=42814name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=42143name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=32525name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=42388name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=42983name=byelapsed=0.071 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=33418name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=39666name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=33727name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=43313name=byelapsed=0.049 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=34174name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=40799name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=41138name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=35704name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=41482name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=36086name=byelapsed=0.030 ML_statistics = :now=1489540476.16tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=6size_allocation=3976261632size_allocation_free=296083448size_heap=4157616128size_heap_free_last_full_GC=0size_heap_free_last_GC=3985246608threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=57.396time_GC=1.288user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Found termination order: "case_sum (\p. size (fst (snd p))) (\p. size (fst (snd p))) <*mlex*> {}" command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=43478name=funelapsed=0.830 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=44033name=lemmaelapsed=0.024 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=45116name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=44911name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=45596name=haveelapsed=0.082 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=44555name=byelapsed=0.104 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=49149name=lemmaelapsed=0.111 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=45863name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=50284name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=45991name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=54946name=definitionelapsed=0.024 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=44766name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=50700name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=55357name=definitionelapsed=0.023 ML_statistics = :now=1489540476.7tasks_ready=0tasks_pending=6tasks_running=5tasks_passive=0tasks_urgent=0workers_total=16workers_active=4workers_waiting=1full_GCs=0partial_GCs=7size_allocation=3998220288size_allocation_free=3998220288size_heap=4164956160size_heap_free_last_full_GC=0size_heap_free_last_GC=4009167208threads_in_ML=1threads_total=19threads_wait_condvar=13threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=58.004time_GC=1.492user_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=51082name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=46266name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=56275name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=51377name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=61643name=definitionelapsed=0.047 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=46390name=obtainelapsed=0.051 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=46815name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=62838name=haveelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=46828name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=63325name=haveelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=49760name=byelapsed=0.167 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=57260name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=51505name=obtainelapsed=0.068 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=64405name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=47128name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=57814name=henceelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=64415name=henceelapsed=0.014 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=47188name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=57930name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=51960name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=47275name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=50174name=applyelapsed=0.068 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=58307name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=52076name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=52328name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=47515name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=58729name=henceelapsed=0.017 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=58845name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=52503name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=47707name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=64499name=byelapsed=0.123 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=64671name=henceelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=47995name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=52754name=byelapsed=0.057 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=48093name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=59786name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=52789name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=60031name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=48230name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=52935name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=64731name=byelapsed=0.092 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=60242name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=52981name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=60376name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=49001name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=60452name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=60611name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=65083name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=53273name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=65199name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=53371name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=53531name=byelapsed=0.014 ML_statistics = :now=1489540477.21tasks_ready=0tasks_pending=4tasks_running=3tasks_passive=1tasks_urgent=0workers_total=16workers_active=3workers_waiting=0full_GCs=0partial_GCs=7size_allocation=3998220288size_allocation_free=2773549360size_heap=4164956160size_heap_free_last_full_GC=0size_heap_free_last_GC=4009167208threads_in_ML=6threads_total=19threads_wait_condvar=14threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=60.28time_GC=1.492user_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=65651name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=53680name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=65903name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=54372name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=66158name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=66175name=haveelapsed=0.014 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=54848name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=66479name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=66742name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=66828name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=67289name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=67442name=byelapsed=0.043 Found termination order: "case_sum (\p. size (fst (snd p))) (\p. size (fst (snd p))) <*mlex*> {}" command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=72716name=funelapsed=0.819 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=67521name=byelapsed=0.067 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=74046name=obtainelapsed=0.013 ML_statistics = :now=1489540477.71tasks_ready=0tasks_pending=4tasks_running=6tasks_passive=1tasks_urgent=0workers_total=16workers_active=4workers_waiting=1full_GCs=0partial_GCs=7size_allocation=3998220288size_allocation_free=1916834280size_heap=4164956160size_heap_free_last_full_GC=0size_heap_free_last_GC=4009167208threads_in_ML=3threads_total=19threads_wait_condvar=13threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=61.912time_GC=1.492user_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=75986name=functionelapsed=0.135 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=75986name=functionelapsed=0.032 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=76720name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=76759name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=74475name=byelapsed=0.133 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=85896name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=75012name=obtainelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=86253name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=78925name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=85620name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=86407name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=79052name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=77941name=byelapsed=0.068 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=85877name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=86667name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=75543name=byelapsed=0.096 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=80524name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=82546name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=82746name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=82923name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=67721name=byelapsed=0.561 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=83835name=byelapsed=0.024 ML_statistics = :now=1489540478.21tasks_ready=0tasks_pending=4tasks_running=6tasks_passive=3tasks_urgent=0workers_total=16workers_active=4workers_waiting=2full_GCs=0partial_GCs=7size_allocation=3998220288size_allocation_free=57604104size_heap=4164956160size_heap_free_last_full_GC=0size_heap_free_last_GC=4009167208threads_in_ML=4threads_total=19threads_wait_condvar=13threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=65.252time_GC=1.492user_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=84282name=byelapsed=0.086 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=67858name=byelapsed=0.115 Found termination order: "case_sum (\p. size (fst (snd p))) (\p. size (fst (snd p))) <*mlex*> {}" command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=86813name=funelapsed=0.519 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=87302name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=88579name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=90898name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=67941name=byelapsed=0.089 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=89049name=haveelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=90843name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=89236name=usingelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=91272name=definitionelapsed=0.030 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=87698name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=89715name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=91938name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=89865name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=88405name=qedelapsed=0.016 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=88416name=fromelapsed=0.015 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=93067name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=93240name=showelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=88566name=byelapsed=0.055 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=68191name=byelapsed=0.162 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=94008name=functionelapsed=0.213 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=68322name=byelapsed=0.089 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=94008name=functionelapsed=0.041 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=95560name=terminationelapsed=0.012 ML_statistics = :now=1489540478.74tasks_ready=0tasks_pending=4tasks_running=12tasks_passive=3tasks_urgent=0workers_total=16workers_active=7workers_waiting=3full_GCs=0partial_GCs=8size_allocation=3948937216size_allocation_free=2795804432size_heap=4168101888size_heap_free_last_full_GC=0size_heap_free_last_GC=3959820520threads_in_ML=5threads_total=19threads_wait_condvar=10threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=67.328time_GC=1.688user_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=95572name=proofelapsed=0.030 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=95534name=byelapsed=0.075 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=96538name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=97272name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=98085name=lemmaelapsed=0.038 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=99768name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=97337name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=97724name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=100109name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=111113name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=98002name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=100291name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=112044name=definitionelapsed=0.025 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=100351name=applyelapsed=0.026 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=99731name=byelapsed=0.091 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=100427name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=98063name=byelapsed=0.064 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=100571name=haveelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=100905name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=101673name=byelapsed=0.062 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=113165name=considerelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=110233name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=111493name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=111566name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=68678name=byelapsed=0.318 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=101829name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=113287name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=68979name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=101896name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=113618name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=113714name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=69229name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=102448name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=69310name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=113842name=byelapsed=0.051 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=102463name=haveelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=102628name=showelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=69461name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=113980name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=102732name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=69513name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=114217name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=69616name=byelapsed=0.025 ML_statistics = :now=1489540479.24tasks_ready=0tasks_pending=3tasks_running=16tasks_passive=7tasks_urgent=0workers_total=16workers_active=8workers_waiting=8full_GCs=0partial_GCs=8size_allocation=3948937216size_allocation_free=1200871488size_heap=4168101888size_heap_free_last_full_GC=0size_heap_free_last_GC=3959820520threads_in_ML=8threads_total=19threads_wait_condvar=3threads_wait_IO=0threads_wait_mutex=4threads_wait_signal=1time_CPU=70.304time_GC=1.688user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = 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:file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=104057name=byelapsed=0.062 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=115212name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=77096name=byelapsed=1.595 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=104391name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=115701name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=104478name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=115845name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=104494name=showelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=104569name=byelapsed=0.145 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=115935name=byelapsed=0.145 command_timing = 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:now=1489540504.35tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=16size_allocation=3597664256size_allocation_free=1461032896size_heap=4136644608size_heap_free_last_full_GC=0size_heap_free_last_GC=3606958752threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=120.72time_GC=3.576user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540504.85tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=16size_allocation=3597664256size_allocation_free=1276466376size_heap=4136644608size_heap_free_last_full_GC=0size_heap_free_last_GC=3606958752threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=121.124time_GC=3.576user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540505.35tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=16size_allocation=3597664256size_allocation_free=1088536992size_heap=4136644608size_heap_free_last_full_GC=0size_heap_free_last_GC=3606958752threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=121.52time_GC=3.576user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540505.85tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=16size_allocation=3597664256size_allocation_free=713263336size_heap=4136644608size_heap_free_last_full_GC=0size_heap_free_last_GC=3606958752threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=122.32time_GC=3.576user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540506.36tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=16size_allocation=3597664256size_allocation_free=523168608size_heap=4136644608size_heap_free_last_full_GC=0size_heap_free_last_GC=3606958752threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=122.72time_GC=3.576user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540506.86tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=16size_allocation=3597664256size_allocation_free=335382344size_heap=4136644608size_heap_free_last_full_GC=0size_heap_free_last_GC=3606958752threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=123.12time_GC=3.576user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540507.36tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=16size_allocation=3598712832size_allocation_free=148938512size_heap=4137693184size_heap_free_last_full_GC=0size_heap_free_last_GC=3606958752threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=123.524time_GC=3.576user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540507.9tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=17size_allocation=3652190208size_allocation_free=3652190208size_heap=4173344768size_heap_free_last_full_GC=0size_heap_free_last_GC=3660103464threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=123.98time_GC=3.716user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540508.4tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=17size_allocation=3652190208size_allocation_free=3242611576size_heap=4173344768size_heap_free_last_full_GC=0size_heap_free_last_GC=3660103464threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=124.784time_GC=3.716user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540508.9tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=17size_allocation=3652190208size_allocation_free=3050864136size_heap=4173344768size_heap_free_last_full_GC=0size_heap_free_last_GC=3660103464threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=125.184time_GC=3.716user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540509.4tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=17size_allocation=3652190208size_allocation_free=2859976200size_heap=4173344768size_heap_free_last_full_GC=0size_heap_free_last_GC=3660103464threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=125.584time_GC=3.716user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540509.91tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=17size_allocation=3652190208size_allocation_free=2670092800size_heap=4173344768size_heap_free_last_full_GC=0size_heap_free_last_GC=3660103464threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=125.988time_GC=3.716user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540510.41tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=17size_allocation=3652190208size_allocation_free=2290413488size_heap=4173344768size_heap_free_last_full_GC=0size_heap_free_last_GC=3660103464threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=126.788time_GC=3.716user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540510.91tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=17size_allocation=3652190208size_allocation_free=2099481528size_heap=4173344768size_heap_free_last_full_GC=0size_heap_free_last_GC=3660103464threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=127.188time_GC=3.716user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540511.41tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=17size_allocation=3652190208size_allocation_free=1908549504size_heap=4173344768size_heap_free_last_full_GC=0size_heap_free_last_GC=3660103464threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=127.588time_GC=3.716user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540511.91tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=17size_allocation=3652190208size_allocation_free=1716456472size_heap=4173344768size_heap_free_last_full_GC=0size_heap_free_last_GC=3660103464threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=127.988time_GC=3.716user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540512.41tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=17size_allocation=3652190208size_allocation_free=1330598176size_heap=4173344768size_heap_free_last_full_GC=0size_heap_free_last_GC=3660103464threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=128.792time_GC=3.716user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Found termination order: "case_sum (\p. size (fst (snd p))) (\p. size (fst (snd p))) <*mlex*> case_sum (\x. Suc 0) (\x. 0) <*mlex*> case_sum (\p. size (fst (snd (snd p)))) (\p. size_list size (snd (snd (snd p)))) <*mlex*> {}" command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=142582name=funelapsed=20.181 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=144169name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=144390name=proofelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=148900name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=145250name=byelapsed=0.028 ML_statistics = :now=1489540512.91tasks_ready=0tasks_pending=4tasks_running=5tasks_passive=1tasks_urgent=0workers_total=16workers_active=3workers_waiting=2full_GCs=0partial_GCs=17size_allocation=3652190208size_allocation_free=1066265824size_heap=4173344768size_heap_free_last_full_GC=0size_heap_free_last_GC=3660103464threads_in_ML=1threads_total=19threads_wait_condvar=14threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=129.192time_GC=3.716user_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=144649name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=145472name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=145768name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=144724name=byelapsed=0.049 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=144853name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=146224name=byelapsed=0.069 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=144979name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=146303name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=146499name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=147158name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=147388name=byelapsed=0.075 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=147818name=byelapsed=0.133 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=148070name=obtainelapsed=0.010 ML_statistics = :now=1489540513.44tasks_ready=0tasks_pending=2tasks_running=5tasks_passive=1tasks_urgent=0workers_total=16workers_active=3workers_waiting=1full_GCs=0partial_GCs=18size_allocation=3616538624size_allocation_free=3616538624size_heap=4173344768size_heap_free_last_full_GC=0size_heap_free_last_GC=3625506456threads_in_ML=1threads_total=19threads_wait_condvar=14threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=130.932time_GC=3.872user_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=148363name=byelapsed=0.282 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=148704name=byelapsed=0.028 ML_statistics = :now=1489540513.95tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=18size_allocation=3616538624size_allocation_free=3019173584size_heap=4173344768size_heap_free_last_full_GC=0size_heap_free_last_GC=3625506456threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=132.076time_GC=3.872user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Found termination order: "(\p. size (fst (snd p))) <*mlex*> {}" command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=148961name=funelapsed=1.382 ML_statistics = :now=1489540514.45tasks_ready=0tasks_pending=0tasks_running=2tasks_passive=0tasks_urgent=0workers_total=16workers_active=2workers_waiting=0full_GCs=0partial_GCs=18size_allocation=3616538624size_allocation_free=2786298576size_heap=4173344768size_heap_free_last_full_GC=0size_heap_free_last_GC=3625506456threads_in_ML=1threads_total=19threads_wait_condvar=15threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=132.476time_GC=3.872user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540514.95tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=18size_allocation=3616538624size_allocation_free=2342948344size_heap=4173344768size_heap_free_last_full_GC=0size_heap_free_last_GC=3625506456threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=133.14time_GC=3.872user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Found termination order: "(\p. size (snd p)) <*mlex*> {}" command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=150168name=funelapsed=0.794 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=151809name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=152949name=proofelapsed=0.024 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=152606name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=153015name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=153132name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=153345name=byelapsed=0.055 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=153453name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=153563name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=153682name=byelapsed=0.049 ML_statistics = :now=1489540515.45tasks_ready=0tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=16workers_active=4workers_waiting=0full_GCs=0partial_GCs=18size_allocation=3616538624size_allocation_free=1404200792size_heap=4173344768size_heap_free_last_full_GC=0size_heap_free_last_GC=3625506456threads_in_ML=3threads_total=19threads_wait_condvar=13threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=134.6time_GC=3.872user_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=153795name=byelapsed=0.100 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=153852name=qedelapsed=0.162 ML_statistics = :now=1489540515.95tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=18size_allocation=3616538624size_allocation_free=716737256size_heap=4173344768size_heap_free_last_full_GC=0size_heap_free_last_GC=3625506456threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=135.84time_GC=3.872user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540516.45tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=18size_allocation=3616538624size_allocation_free=381497712size_heap=4173344768size_heap_free_last_full_GC=0size_heap_free_last_GC=3625506456threads_in_ML=8threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=136.608time_GC=3.872user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540516.98tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=19size_allocation=3595567104size_allocation_free=3595567104size_heap=4163907584size_heap_free_last_full_GC=0size_heap_free_last_GC=3603208840threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=137.372time_GC=4.08user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Found termination order: "(\p. size (fst (snd (snd p)))) <*mlex*> {}" command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=153925name=funelapsed=2.234 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=155920name=proofelapsed=0.018 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=158416name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=156057name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=158764name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=156180name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=158208name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=156335name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=159719name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=156610name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=156942name=byelapsed=0.013 ML_statistics = :now=1489540517.48tasks_ready=0tasks_pending=0tasks_running=4tasks_passive=1tasks_urgent=0workers_total=16workers_active=2workers_waiting=2full_GCs=0partial_GCs=19size_allocation=3595567104size_allocation_free=3275905952size_heap=4163907584size_heap_free_last_full_GC=0size_heap_free_last_GC=3603208840threads_in_ML=3threads_total=19threads_wait_condvar=15threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=137.788time_GC=4.08user_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=157125name=obtainelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=157325name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=157439name=byelapsed=0.050 Found termination order: "(\p. size (fst (snd (snd p)))) <*mlex*> {}" command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=159761name=funelapsed=0.349 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=160976name=lemmaelapsed=0.104 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=166234name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=161833name=proofelapsed=0.023 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=166293name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=162107name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=166919name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=162158name=byelapsed=0.089 ML_statistics = :now=1489540517.98tasks_ready=0tasks_pending=4tasks_running=3tasks_passive=0tasks_urgent=0workers_total=16workers_active=3workers_waiting=0full_GCs=0partial_GCs=19size_allocation=3595567104size_allocation_free=2756902152size_heap=4163907584size_heap_free_last_full_GC=0size_heap_free_last_GC=3603208840threads_in_ML=2threads_total=19threads_wait_condvar=14threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=138.664time_GC=4.08user_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=162566name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=167026name=obtainelapsed=0.104 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=167428name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=162623name=byelapsed=0.100 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=167663name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=162697name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=167915name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=168117name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=163157name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=163284name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=168211name=obtainelapsed=0.056 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=168609name=byelapsed=0.046 Found termination order: "(\p. size (fst (snd (snd (snd p))))) <*mlex*> {}" command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=168733name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=168905name=funelapsed=0.437 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=169280name=lemmaelapsed=0.019 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=169594name=proofelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=163688name=obtainelapsed=0.122 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=171202name=obtainelapsed=0.014 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=169774name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=164133name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=172053name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=171529name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=169824name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=172348name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=171701name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=172520name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=170163name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=164661name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=170243name=byelapsed=0.056 ML_statistics = :now=1489540518.49tasks_ready=0tasks_pending=6tasks_running=15tasks_passive=3tasks_urgent=0workers_total=16workers_active=6workers_waiting=10full_GCs=0partial_GCs=19size_allocation=3595567104size_allocation_free=2128129304size_heap=4163907584size_heap_free_last_full_GC=0size_heap_free_last_GC=3603208840threads_in_ML=3threads_total=19threads_wait_condvar=11threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=139.784time_GC=4.08user_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=164756name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=170335name=obtainelapsed=0.015 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=164957name=defineelapsed=0.010 ### Rule already declared as introduction (intro) ### ?P ?x \ \x. ?P x command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=165157name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=165250name=haveelapsed=0.010 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=170583name=byelapsed=0.068 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=170656name=obtainelapsed=0.015 ### Rule already declared as introduction (intro) ### ?P ?x \ \x. ?P x command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=170906name=byelapsed=0.068 ML_statistics = :now=1489540518.99tasks_ready=0tasks_pending=2tasks_running=5tasks_passive=2tasks_urgent=0workers_total=16workers_active=2workers_waiting=3full_GCs=0partial_GCs=19size_allocation=3595567104size_allocation_free=585556944size_heap=4163907584size_heap_free_last_full_GC=0size_heap_free_last_GC=3603208840threads_in_ML=2threads_total=19threads_wait_condvar=15threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=142.528time_GC=4.08user_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=165346name=byelapsed=0.470 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=165458name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=165549name=byelapsed=0.155 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=165594name=haveelapsed=0.017 Found termination order: "(\p. size (fst (snd (snd p)))) <*mlex*> {}" command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=165952name=byelapsed=0.165 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=172603name=funelapsed=1.058 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=173426name=definitionelapsed=0.023 ML_statistics = :now=1489540519.52tasks_ready=0tasks_pending=1tasks_running=2tasks_passive=0tasks_urgent=0workers_total=16workers_active=2workers_waiting=0full_GCs=0partial_GCs=20size_allocation=3557818368size_allocation_free=3557818368size_heap=4147130368size_heap_free_last_full_GC=0size_heap_free_last_GC=3567831536threads_in_ML=1threads_total=19threads_wait_condvar=15threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=143.504time_GC=4.452user_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=173860name=obtainelapsed=0.083 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=174011name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=174399name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=174925name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=175294name=byelapsed=0.058 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=175456name=qedelapsed=0.136 ML_statistics = :now=1489540520.02tasks_ready=0tasks_pending=1tasks_running=2tasks_passive=0tasks_urgent=0workers_total=16workers_active=2workers_waiting=0full_GCs=0partial_GCs=20size_allocation=3557818368size_allocation_free=2762849672size_heap=4147130368size_heap_free_last_full_GC=0size_heap_free_last_GC=3567831536threads_in_ML=3threads_total=19threads_wait_condvar=15threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=144.844time_GC=4.452user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540520.52tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=20size_allocation=3557818368size_allocation_free=2156922680size_heap=4147130368size_heap_free_last_full_GC=0size_heap_free_last_GC=3567831536threads_in_ML=2threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=145.7time_GC=4.452user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540521.02tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=20size_allocation=3557818368size_allocation_free=1828618480size_heap=4147130368size_heap_free_last_full_GC=0size_heap_free_last_GC=3567831536threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=146.26time_GC=4.452user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540521.54tasks_ready=419tasks_pending=0tasks_running=9tasks_passive=0tasks_urgent=0workers_total=16workers_active=8workers_waiting=0full_GCs=0partial_GCs=20size_allocation=3557818368size_allocation_free=1114278368size_heap=4147130368size_heap_free_last_full_GC=0size_heap_free_last_GC=3567831536threads_in_ML=8threads_total=19threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=148.012time_GC=4.452user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540522.04tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=20size_allocation=3557818368size_allocation_free=383434280size_heap=4147130368size_heap_free_last_full_GC=0size_heap_free_last_GC=3567831536threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=149.372time_GC=4.452user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540522.55tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=21size_allocation=3491758080size_allocation_free=3491758080size_heap=4164956160size_heap_free_last_full_GC=0size_heap_free_last_GC=3500285864threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=149.752time_GC=4.604user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540523.05tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=21size_allocation=3491758080size_allocation_free=3303185328size_heap=4164956160size_heap_free_last_full_GC=0size_heap_free_last_GC=3500285864threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=150.152time_GC=4.604user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540523.56tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=21size_allocation=3491758080size_allocation_free=2981177808size_heap=4164956160size_heap_free_last_full_GC=0size_heap_free_last_GC=3500285864threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=150.952time_GC=4.604user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540524.06tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=21size_allocation=3491758080size_allocation_free=2829043152size_heap=4164956160size_heap_free_last_full_GC=0size_heap_free_last_GC=3500285864threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=151.348time_GC=4.604user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Found termination order: "(\p. size (fst (snd p))) <*mlex*> {}" command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=175693name=funelapsed=5.119 ML_statistics = :now=1489540524.56tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=21size_allocation=3491758080size_allocation_free=2587779552size_heap=4164956160size_heap_free_last_full_GC=0size_heap_free_last_GC=3500285864threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=151.748time_GC=4.604user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540525.07tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=21size_allocation=3491758080size_allocation_free=2306670072size_heap=4164956160size_heap_free_last_full_GC=0size_heap_free_last_GC=3500285864threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=152.148time_GC=4.604user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540525.57tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=2tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=21size_allocation=3491758080size_allocation_free=1684769744size_heap=4164956160size_heap_free_last_full_GC=0size_heap_free_last_GC=3500285864threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=152.948time_GC=4.604user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540526.07tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=21size_allocation=3491758080size_allocation_free=1260005200size_heap=4164956160size_heap_free_last_full_GC=0size_heap_free_last_GC=3500285864threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=153.348time_GC=4.604user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540526.57tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=21size_allocation=3491758080size_allocation_free=890815280size_heap=4164956160size_heap_free_last_full_GC=0size_heap_free_last_GC=3500285864threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=153.748time_GC=4.604user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540527.08tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=21size_allocation=3491758080size_allocation_free=592928512size_heap=4164956160size_heap_free_last_full_GC=0size_heap_free_last_GC=3500285864threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=154.148time_GC=4.604user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1489540532.26tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=23size_allocation=3486515200size_allocation_free=2725420032size_heap=4109381632size_heap_free_last_full_GC=0size_heap_free_last_GC=3492983840threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=159.36time_GC=5.388user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540532.76tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=23size_allocation=3486515200size_allocation_free=2273392672size_heap=4109381632size_heap_free_last_full_GC=0size_heap_free_last_GC=3492983840threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=159.76time_GC=5.388user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540533.26tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=23size_allocation=3486515200size_allocation_free=1877258296size_heap=4109381632size_heap_free_last_full_GC=0size_heap_free_last_GC=3492983840threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=160.164time_GC=5.388user_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=176536name=oracleelapsed=9.027 ML_statistics = :now=1489540533.77tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=23size_allocation=3486515200size_allocation_free=1245036232size_heap=4109381632size_heap_free_last_full_GC=0size_heap_free_last_GC=3492983840threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=160.968time_GC=5.388user_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=182142name=named_theoremselapsed=0.173 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=182180name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=182668name=lemmaelapsed=0.028 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=183586name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=183663name=lemmaelapsed=0.034 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=184279name=byelapsed=0.036 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 val reify_form: Proof.context -> term -> term end structure Approximation: APPROXIMATION command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=184365name=ML_fileelapsed=0.124 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=184393name=method_setupelapsed=0.012 command_timing = :file=~~/src/HOL/Decision_Procs/Approximation.thyoffset=185361name=byelapsed=0.017 ML_statistics = :now=1489540534.27tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=1tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=23size_allocation=3486515200size_allocation_free=833591200size_heap=4109381632size_heap_free_last_full_GC=0size_heap_free_last_GC=3492983840threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=161.58time_GC=5.388user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1489540534.77tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=23size_allocation=3486515200size_allocation_free=575550336size_heap=4109381632size_heap_free_last_full_GC=0size_heap_free_last_GC=3492983840threads_in_ML=1threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=161.984time_GC=5.388user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### ML warning (line 200 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=185370name=ML_fileelapsed=0.859 ### theory "Approximation" ### 62.320s elapsed time, 125.268s cpu time, 4.492s GC time Loading theory "Bounded_Linear_Operator" (required by "ODE_Analysis" via "Flow") loading_theory = Bounded_Linear_Operator Loading theory "ODE_Auxiliarities" (required by "ODE_Analysis" via "MVT_Ex") loading_theory = ODE_Auxiliarities ML_statistics = :now=1489540535.3tasks_ready=0tasks_pending=9tasks_running=2tasks_passive=0tasks_urgent=0workers_total=16workers_active=2workers_waiting=0full_GCs=0partial_GCs=24size_allocation=3337617408size_allocation_free=3337617408size_heap=4127207424size_heap_free_last_full_GC=0size_heap_free_last_GC=3344749024threads_in_ML=1threads_total=19threads_wait_condvar=14threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=162.632time_GC=5.52user_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=35name=theoryelapsed=0.241 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=114name=typedefelapsed=0.027 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=114name=typedefelapsed=0.058 ### 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/Library/Bounded_Linear_Operator.thyoffset=185name=setup_liftingelapsed=0.081 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=223name=lift_definitionelapsed=0.017 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=316name=lift_definitionelapsed=0.017 ML_statistics = :now=1489540535.8tasks_ready=0tasks_pending=9tasks_running=2tasks_passive=0tasks_urgent=0workers_total=16workers_active=2workers_waiting=0full_GCs=0partial_GCs=24size_allocation=3337617408size_allocation_free=2921631856size_heap=4127207424size_heap_free_last_full_GC=0size_heap_free_last_GC=3344749024threads_in_ML=2threads_total=19threads_wait_condvar=15threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=163.448time_GC=5.52user_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=28name=theoryelapsed=0.680 Default parameters for Sledgehammer: compress = smart debug = false fact_filter = mepo fact_thresholds = 0.45 0.85 isar_proofs = smart lam_trans = smart learn = true max_facts = smart max_mono_iters = smart max_new_mono_instances = smart minimize = true overlord = false preplay_timeout = 1 provers = cvc4 z3 spass e remote_vampire remote_e_sine slice = true smt_proofs = smart spy = false strict = false timeout = 30 try0 = true type_enc = smart uncurried_aliases = smart verbose = false instantiation prod :: (zero_neq_one, zero_neq_one) zero_neq_one one_prod == one_class.one :: 'a \ 'b command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=241name=definitionelapsed=0.026 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=398name=no_notationelapsed=0.350 instantiation blinop :: (real_normed_vector) real_normed_vector uminus_blinop == uminus :: 'a blinop \ 'a blinop zero_blinop == zero_class.zero :: 'a blinop minus_blinop == minus :: 'a blinop \ 'a blinop \ 'a blinop plus_blinop == plus :: 'a blinop \ 'a blinop \ 'a blinop sgn_blinop == sgn :: 'a blinop \ 'a blinop norm_blinop == norm :: 'a blinop \ real scaleR_blinop == scaleR :: real \ 'a blinop \ 'a blinop dist_blinop == dist :: 'a blinop \ 'a blinop \ real open_blinop == open :: 'a blinop set \ bool uniformity_blinop == uniformity :: ('a blinop \ 'a blinop) filter command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=399name=lemmaelapsed=0.067 locale no_real_inner command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=626name=lift_definitionelapsed=0.030 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=889name=byelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=705name=byelapsed=0.024 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=687name=lift_definitionelapsed=0.033 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=811name=lift_definitionelapsed=0.033 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=767name=lift_definitionelapsed=0.032 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=985name=lift_definitionelapsed=0.028 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=1221name=byelapsed=0.021 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=1557name=lemmaelapsed=0.010 locale blinfun_syntax command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=840name=definitionelapsed=0.038 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=985name=definitionelapsed=0.032 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=1338name=byelapsed=0.065 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=1111name=lift_definitionelapsed=0.035 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=1181name=lift_definitionelapsed=0.027 ML_statistics = :now=1489540536.3tasks_ready=0tasks_pending=9tasks_running=2tasks_passive=0tasks_urgent=0workers_total=16workers_active=2workers_waiting=0full_GCs=0partial_GCs=24size_allocation=3337617408size_allocation_free=2672958168size_heap=4127207424size_heap_free_last_full_GC=0size_heap_free_last_GC=3344749024threads_in_ML=2threads_total=19threads_wait_condvar=15threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=164.248time_GC=5.52user_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=1232name=lift_definitionelapsed=0.031 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=1310name=lift_definitionelapsed=0.032 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=1385name=lift_definitionelapsed=0.029 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=1460name=applyelapsed=0.016 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=1796name=interpretationelapsed=0.018 instantiation blinop :: ({real_normed_vector,perfect_space}) real_normed_algebra_1 one_blinop == one_class.one :: 'a blinop times_blinop == times :: 'a blinop \ 'a blinop \ 'a blinop command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=2553name=applyelapsed=0.019 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=2322name=applyelapsed=0.021 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=1732name=byelapsed=0.058 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=2771name=lift_definitionelapsed=0.028 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=2896name=lift_definitionelapsed=0.032 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=1477name=applyelapsed=0.115 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=3082name=proofelapsed=0.023 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Bounded_Linear_Operator.thyoffset=3334name=qedelapsed=0.100 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=1806name=no_notationelapsed=0.539 ML_statistics = :now=1489540536.8tasks_ready=0tasks_pending=9tasks_running=2tasks_passive=0tasks_urgent=0workers_total=16workers_active=2workers_waiting=0full_GCs=0partial_GCs=24size_allocation=3337617408size_allocation_free=1716319368size_heap=4127207424size_heap_free_last_full_GC=0size_heap_free_last_GC=3344749024threads_in_ML=2threads_total=19threads_wait_condvar=15threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=166.44time_GC=5.52user_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=4080name=no_notationelapsed=0.354 ### theory "Bounded_Linear_Operator" ### 1.624s elapsed time, 3.936s cpu time, 0.000s GC time command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=1842name=notationelapsed=0.522 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=3075name=definitionelapsed=0.019 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=3399name=byelapsed=0.015 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=2857name=byelapsed=0.019 ML_statistics = :now=1489540537.31tasks_ready=0tasks_pending=11tasks_running=2tasks_passive=0tasks_urgent=0workers_total=16workers_active=2workers_waiting=0full_GCs=0partial_GCs=24size_allocation=3337617408size_allocation_free=1490380208size_heap=4127207424size_heap_free_last_full_GC=0size_heap_free_last_GC=3344749024threads_in_ML=1threads_total=19threads_wait_condvar=15threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=166.952time_GC=5.52user_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=4387name=lemmaelapsed=0.012 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=4237name=byelapsed=0.013 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=4810name=lemmaelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=6273name=lift_definitionelapsed=0.018 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=6534name=byelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=6273name=lift_definitionelapsed=0.040 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=4705name=byelapsed=0.084 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=6606name=byelapsed=0.013 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=6948name=byelapsed=0.016 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=7552name=byelapsed=0.016 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=5292name=byelapsed=0.102 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=8322name=byelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=8795name=byelapsed=0.019 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=7726name=byelapsed=0.049 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=7307name=byelapsed=0.024 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=8925name=byelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=7427name=byelapsed=0.013 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=10125name=byelapsed=0.016 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=9199name=byelapsed=0.015 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=10192name=byelapsed=0.033 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=9370name=byelapsed=0.016 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=10380name=byelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=9430name=byelapsed=0.011 ML_statistics = :now=1489540537.81tasks_ready=0tasks_pending=9tasks_running=1tasks_passive=0tasks_urgent=0workers_total=16workers_active=1workers_waiting=0full_GCs=0partial_GCs=24size_allocation=3337617408size_allocation_free=795125136size_heap=4127207424size_heap_free_last_full_GC=0size_heap_free_last_GC=3344749024threads_in_ML=3threads_total=19threads_wait_condvar=16threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=168.08time_GC=5.52user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 class linordered_idom = ring_char_0 + idom_abs_sgn + linordered_ring_strict + linordered_semidom + linordered_semiring_1_strict + ordered_comm_ring + ordered_ring_abs + assumes "sgn_if": "\x. sgn x = (if x = (0::'a) then 0::'a else if (0::'a) < x then 1::'a else - (1::'a))" command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=10734name=contextelapsed=0.602 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=10765name=lemmaelapsed=0.017 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=10867name=lemmaelapsed=0.018 ### Ignoring duplicate rewrite rule: ### convex (cball ?x1 ?e1) \ True command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=13302name=byelapsed=0.051 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=13822name=byelapsed=0.055 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=15116name=lemmaelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=13630name=byelapsed=0.174 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=14386name=byelapsed=0.135 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=14157name=byelapsed=0.192 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=13495name=byelapsed=0.208 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=12910name=byelapsed=0.226 ### Ignoring duplicate rewrite rule: ### is_interval {?b1..?a1} \ True command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=14656name=byelapsed=0.035 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=13070name=byelapsed=0.231 ML_statistics = :now=1489540538.38tasks_ready=6tasks_pending=11tasks_running=9tasks_passive=1tasks_urgent=0workers_total=16workers_active=8workers_waiting=1full_GCs=0partial_GCs=25size_allocation=3388997632size_allocation_free=3388997632size_heap=4148178944size_heap_free_last_full_GC=0size_heap_free_last_GC=3395938808threads_in_ML=1threads_total=19threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=169.336time_GC=5.896user_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=15580name=assumeelapsed=0.012 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=16443name=byelapsed=0.024 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=16603name=byelapsed=0.024 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=15736name=byelapsed=0.024 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=17108name=byelapsed=0.023 ### 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=18084name=byelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=18271name=byelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=16160name=byelapsed=0.063 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=18475name=byelapsed=0.016 ### 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=18681name=byelapsed=0.016 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=13321name=byelapsed=0.288 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=20660name=byelapsed=0.012 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=20058name=byelapsed=0.032 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=20947name=lemmaelapsed=0.093 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=20933name=byelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=17370name=byelapsed=0.150 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=21175name=byelapsed=0.025 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=17559name=byelapsed=0.185 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=21311name=lemmaelapsed=0.084 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=21539name=byelapsed=0.023 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=17933name=byelapsed=0.231 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=21675name=lemmaelapsed=0.086 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=24635name=lemmaelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=24153name=byelapsed=0.029 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=24510name=byelapsed=0.025 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=25470name=lemmaelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=23066name=byelapsed=0.044 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=22805name=byelapsed=0.061 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=24529name=byelapsed=0.012 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=25889name=lemmaelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=23151name=byelapsed=0.020 ### Ignoring duplicate rewrite rule: ### is_interval {} \ True ### Ignoring duplicate rewrite rule: ### is_interval UNIV \ True command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=25210name=byelapsed=0.027 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=23650name=byelapsed=0.082 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=24305name=byelapsed=0.059 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=25108name=applyelapsed=0.063 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=23801name=byelapsed=0.024 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=26147name=byelapsed=0.018 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=25733name=byelapsed=0.041 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=24562name=byelapsed=0.091 ML_statistics = :now=1489540538.88tasks_ready=12tasks_pending=13tasks_running=11tasks_passive=3tasks_urgent=0workers_total=16workers_active=8workers_waiting=4full_GCs=0partial_GCs=25size_allocation=3388997632size_allocation_free=1661865984size_heap=4148178944size_heap_free_last_full_GC=0size_heap_free_last_GC=3395938808threads_in_ML=5threads_total=19threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=171.592time_GC=5.896user_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=30660name=lemmaelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=26260name=byelapsed=0.032 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=22158name=byelapsed=0.189 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=23886name=byelapsed=0.068 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=26464name=byelapsed=0.024 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=32271name=lemmaelapsed=0.027 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=26873name=byelapsed=0.076 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=27413name=byelapsed=0.062 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=28401name=byelapsed=0.018 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=28786name=byelapsed=0.019 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=29396name=applyelapsed=0.025 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=29477name=byelapsed=0.013 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=39425name=lemmaelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=29705name=byelapsed=0.015 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=30041name=.elapsed=0.052 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=41346name=lemmaelapsed=0.016 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=41686name=lemmaelapsed=0.015 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=30217name=byelapsed=0.032 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=42568name=lemmaelapsed=0.015 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=30480name=byelapsed=0.020 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=22480name=byelapsed=0.243 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=43573name=lemmaelapsed=0.028 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=22600name=byelapsed=0.038 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=31231name=byelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=44182name=lemmaelapsed=0.050 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=45378name=lemmaelapsed=0.029 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=32200name=byelapsed=0.032 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=32813name=assumeelapsed=0.013 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=33038name=assumeelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=28805name=byelapsed=0.416 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=29146name=byelapsed=0.018 ML_statistics = :now=1489540539.42tasks_ready=37tasks_pending=9tasks_running=10tasks_passive=2tasks_urgent=0workers_total=16workers_active=8workers_waiting=2full_GCs=0partial_GCs=26size_allocation=3314548736size_allocation_free=3314548736size_heap=4166004736size_heap_free_last_full_GC=0size_heap_free_last_GC=3321159768threads_in_ML=4threads_total=19threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=174.044time_GC=6.044user_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=50139name=lemmaelapsed=0.035 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=52079name=lemmaelapsed=0.025 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=30828name=byelapsed=0.283 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=36024name=byelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=35651name=byelapsed=0.043 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=36618name=byelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=55136name=lemmaelapsed=0.016 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=36133name=byelapsed=0.037 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=27158name=byelapsed=0.668 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=37476name=byelapsed=0.038 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=33093name=byelapsed=0.182 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=37720name=byelapsed=0.037 ### Ignoring duplicate introduction (intro) ### ((\x. x) \ ?a) (at ?a within ?s) ### Ignoring duplicate introduction (intro) ### ((\x. ?k) \ ?k) ?F command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=56784name=definitionelapsed=0.034 ### Ignoring duplicate introduction (intro) ### (?f \ ?x) ?F \ ### ((\x. ereal (?f x)) \ ereal ?x) ?F ### Ignoring duplicate introduction (intro) ### (?f \ ?x) ?F \ ### ((\x. - ?f x) \ - ?x) ?F ### Ignoring duplicate introduction (intro) ### \\?c\ \ \; ### (?f \ ?x) ?F\ ### \ ((\x. ?c * ?f x) \ ?c * ?x) ?F ### Ignoring duplicate introduction (intro) ### \?x \ 0; (?f \ ?x) ?F\ ### \ ((\x. ?c * ?f x) \ ?c * ?x) ?F ### Ignoring duplicate introduction (intro) ### \?y \ - \; ?x \ - \; ### (?f \ ?x) ?F\ ### \ ((\x. ?f x + ?y) \ ?x + ?y) ?F ### Ignoring duplicate introduction (intro) ### \\?y\ \ \; ### (?f \ ?x) ?F\ ### \ ((\x. ?f x + ?y) \ ?x + ?y) ?F command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=39392name=byelapsed=0.050 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=33299name=byelapsed=0.049 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=42273name=byelapsed=0.015 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=33410name=byelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=42357name=obtainelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=33591name=byelapsed=0.015 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=42473name=byelapsed=0.014 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=28146name=byelapsed=0.726 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=42501name=byelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=59441name=lemmaelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=44090name=byelapsed=0.044 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=33983name=byelapsed=0.023 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=44813name=byelapsed=0.024 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=60273name=lemmaelapsed=0.063 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=44139name=byelapsed=0.059 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=34058name=haveelapsed=0.054 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=44865name=interpretelapsed=0.057 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=46293name=byelapsed=0.072 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=44932name=byelapsed=0.015 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=47492name=byelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=61251name=lemmaelapsed=0.020 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=40134name=byelapsed=0.238 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=62988name=lemmaelapsed=0.020 ### 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=48119name=byelapsed=0.066 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64057name=lemmaelapsed=0.024 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=48325name=byelapsed=0.025 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=67242name=lemmaelapsed=0.014 ### 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=15356name=byelapsed=1.520 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=48787name=byelapsed=0.136 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=34081name=byelapsed=0.180 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=50873name=byelapsed=0.013 ML_statistics = :now=1489540539.95tasks_ready=42tasks_pending=9tasks_running=12tasks_passive=3tasks_urgent=0workers_total=16workers_active=8workers_waiting=4full_GCs=0partial_GCs=27size_allocation=3326083072size_allocation_free=3326083072size_heap=4183830528size_heap_free_last_full_GC=0size_heap_free_last_GC=3333769376threads_in_ML=3threads_total=19threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=178.36time_GC=6.152user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=70780name=lemmaelapsed=0.012 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=34296name=byelapsed=0.015 ### Ignoring duplicate introduction (intro) ### ((\x. x) \ ?a) (at ?a within ?s) command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=51187name=byelapsed=0.031 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=73221name=lemmaelapsed=0.011 ### Ignoring duplicate introduction (intro) ### ((\x. x) \ ?a) (at ?a within ?s) command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=49179name=byelapsed=0.101 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=73561name=lemmaelapsed=0.012 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=40291name=byelapsed=0.190 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=51531name=byelapsed=0.027 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=34585name=byelapsed=0.071 ### Ignoring duplicate introduction (intro) ### ((\x. x) \ ?a) (at ?a within ?s) command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=75964name=lemmaelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=51908name=byelapsed=0.019 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=53503name=byelapsed=0.041 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=77283name=lemmaelapsed=0.012 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=52009name=qedelapsed=0.013 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=54209name=byelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=77805name=definitionelapsed=0.034 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=49931name=byelapsed=0.224 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=78074name=definitionelapsed=0.022 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=57844name=byelapsed=0.031 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=40525name=byelapsed=0.129 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=59090name=byelapsed=0.035 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=59377name=byelapsed=0.038 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=59788name=byelapsed=0.048 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=80962name=lemmaelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=60158name=byelapsed=0.044 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=81371name=lemmaelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=60553name=byelapsed=0.042 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=61176name=byelapsed=0.017 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=81771name=lemmaelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=60885name=byelapsed=0.043 ### Metis: Unused theorems: "Set_Interval.ord_class.atLeastAtMost_iff" command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=63527name=byelapsed=0.023 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=63563name=obtainelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=62423name=byelapsed=0.031 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=85445name=lemmaelapsed=0.014 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=40682name=byelapsed=0.175 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=52614name=byelapsed=0.344 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=61653name=byelapsed=0.135 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64499name=obtainelapsed=0.013 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=63724name=byelapsed=0.087 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=88671name=lemmaelapsed=0.014 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64828name=byelapsed=0.059 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=90578name=lemmaelapsed=0.073 ML_statistics = :now=1489540540.48tasks_ready=57tasks_pending=9tasks_running=14tasks_passive=3tasks_urgent=0workers_total=16workers_active=8workers_waiting=4full_GCs=0partial_GCs=28size_allocation=3321888768size_allocation_free=3321888768size_heap=4179636224size_heap_free_last_full_GC=0size_heap_free_last_GC=3329563576threads_in_ML=4threads_total=19threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=183.404time_GC=6.268user_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=63850name=byelapsed=0.119 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=92642name=lemmaelapsed=0.036 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=94061name=lemmaelapsed=0.021 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=95548name=lemmaelapsed=0.014 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=96737name=lemmaelapsed=0.016 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=66040name=byelapsed=0.181 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64961name=byelapsed=0.125 Enter MATCH \m t ta. Suc (?m51 m t) =?= \m t. ?m50 (Suc m) \m t. ?m50 m =?= \m t ta. ?m51 m t Enter MATCH \m t ta. m =?= \m t ta. ?m51 m t \m t ta. m =?= \m t ta. ?m51 m t Enter MATCH \m t ta. Suc (?m52 m ta) =?= \m t ta. ?m51 m t \m t ta. ?m51 m t =?= \m t. ?m52 (Suc m) Enter MATCH command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=97899name=lemmaelapsed=0.017 \m t ta. Suc (?m53 m t) =?= \m t. ?m52 (Suc m) \m t. ?m52 m =?= \m t ta. ?m53 m t Enter MATCH \m t ta. m =?= \m t ta. ?m53 m t \m t ta. m =?= \m t ta. ?m53 m t Enter MATCH \m t ta. Suc (?m54 m ta) =?= \m t ta. ?m53 m t \m t ta. ?m53 m t =?= \m t. ?m54 (Suc m) Enter MATCH command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=64044name=byelapsed=0.081 \m t ta. Suc (?m55 m t) =?= \m t. ?m54 (Suc m) \m t. ?m54 m =?= \m t ta. ?m55 m t Enter MATCH \m t ta. m =?= \m t ta. ?m55 m t \m t ta. m =?= \m t ta. ?m55 m t Enter MATCH \m t ta. Suc (?m56 m ta) =?= \m t ta. ?m55 m t \m t ta. ?m55 m t =?= \m t. ?m56 (Suc m) Enter MATCH \m t ta. Suc (?m57 m t) =?= \m t. ?m56 (Suc m) \m t. ?m56 m =?= \m t ta. ?m57 m t Enter MATCH \m t ta. m =?= \m t ta. ?m57 m t \m t ta. m =?= \m t ta. ?m57 m t Enter MATCH \m t ta. Suc (?m58 m ta) =?= \m t ta. ?m57 m t \m t ta. ?m57 m t =?= \m t. ?m58 (Suc m) Enter MATCH \m t ta. Suc (?m59 m t) =?= \m t. ?m58 (Suc m) \m t. ?m58 m =?= \m t ta. ?m59 m t Enter MATCH \m t ta. m =?= \m t ta. ?m59 m t \m t ta. m =?= \m t ta. ?m59 m t Enter MATCH \m t ta. Suc (?m60 m ta) =?= \m t ta. ?m59 m t \m t ta. ?m59 m t =?= \m t. ?m60 (Suc m) ### Unification bound exceeded command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=65054name=fromelapsed=0.023 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=98346name=lemmaelapsed=0.018 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=65246name=byelapsed=0.023 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=98810name=lemmaelapsed=0.030 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=65356name=haveelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=65537name=byelapsed=0.028 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=65642name=byelapsed=0.031 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=101511name=lemmaelapsed=0.067 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=67811name=haveelapsed=0.013 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=101698name=lemmaelapsed=0.067 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=66296name=byelapsed=0.240 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=27736name=byelapsed=1.893 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=101888name=lemmaelapsed=0.064 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=69311name=byelapsed=0.086 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=27805name=byelapsed=0.084 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=66805name=byelapsed=0.306 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=102056name=lemmaelapsed=0.063 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=69791name=byelapsed=0.013 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=69538name=byelapsed=0.019 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=53090name=byelapsed=0.582 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=103469name=definitionelapsed=0.024 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=70506name=byelapsed=0.053 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=71140name=byelapsed=0.023 ML_statistics = :now=1489540540.98tasks_ready=61tasks_pending=9tasks_running=15tasks_passive=5tasks_urgent=0workers_total=16workers_active=8workers_waiting=6full_GCs=0partial_GCs=28size_allocation=3321888768size_allocation_free=1351502000size_heap=4179636224size_heap_free_last_full_GC=0size_heap_free_last_GC=3329563576threads_in_ML=8threads_total=19threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=186.512time_GC=6.268user_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=103852name=definitionelapsed=0.015 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=70092name=byelapsed=0.097 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=72602name=byelapsed=0.014 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=72411name=byelapsed=0.057 ### Rule already declared as introduction (intro) ### continuous_on {?a..?b} ?f \ ?f integrable_on {?a..?b} ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) ### Rule already declared as introduction (intro) ### (\i. continuous_on UNIV (\x. ?f x i)) \ ### continuous_on UNIV ?f command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=73047name=byelapsed=0.062 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=107422name=lift_definitionelapsed=0.083 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=73183name=byelapsed=0.076 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=107933name=lift_definitionelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=107933name=lift_definitionelapsed=0.036 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=108374name=definitionelapsed=0.020 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=109352name=lemmaelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=67100name=byelapsed=0.380 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=71552name=byelapsed=0.323 ### theory "ODE_Auxiliarities" ### 6.033s elapsed time, 27.908s cpu time, 0.880s GC time Loading theory "Initial_Value_Problem" (required by "ODE_Analysis" via "Flow" via "Picard_Lindeloef_Qualitative") loading_theory = Initial_Value_Problem command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=71772name=byelapsed=0.013 Loading theory "MVT_Ex" (required by "ODE_Analysis") loading_theory = MVT_Ex command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=74135name=byelapsed=0.064 Loading theory "Multivariate_Taylor" (required by "ODE_Analysis" via "Flow") loading_theory = Multivariate_Taylor ML_statistics = :now=1489540541.53tasks_ready=84tasks_pending=7tasks_running=15tasks_passive=5tasks_urgent=0workers_total=16workers_active=8workers_waiting=6full_GCs=0partial_GCs=29size_allocation=3304062976size_allocation_free=3304062976size_heap=4179636224size_heap_free_last_full_GC=0size_heap_free_last_GC=3311770440threads_in_ML=5threads_total=19threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=188.764time_GC=6.4user_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=45108name=byelapsed=1.868 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=31name=theoryelapsed=0.280 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68068name=byelapsed=0.956 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=73522name=byelapsed=0.634 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=33name=theoryelapsed=0.315 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=74528name=byelapsed=0.013 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68255name=byelapsed=0.031 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=423name=definitionelapsed=0.017 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68316name=haveelapsed=0.013 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) ### Rule already declared as introduction (intro) ### (\i. continuous_on UNIV (\x. ?f x i)) \ ### continuous_on UNIV ?f command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=73862name=byelapsed=0.566 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=62688name=byelapsed=1.459 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=74576name=byelapsed=0.061 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=75116name=byelapsed=0.013 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=62857name=byelapsed=0.016 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=4768name=definitionelapsed=0.020 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=76285name=byelapsed=0.012 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=62975name=byelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=76385name=byelapsed=0.019 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=77599name=byelapsed=0.052 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=75182name=byelapsed=0.085 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=8598name=lemmaelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=9523name=definitionelapsed=0.023 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=78796name=byelapsed=0.052 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=76537name=byelapsed=0.091 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=9759name=lemmaelapsed=0.010 ### Ignoring duplicate rewrite rule: ### inverse ?a1 \ (1::?'a1) / ?a1 ### Ignoring duplicate rewrite rule: ### ?a1 + ?b1 + ?c1 \ ?a1 + (?b1 + ?c1) ### Ignoring duplicate rewrite rule: ### ?a1 + ?b1 \ ?b1 + ?a1 ### Ignoring duplicate rewrite rule: ### ?b1 + (?a1 + ?c1) \ ?a1 + (?b1 + ?c1) ### Ignoring duplicate rewrite rule: ### ?a1 * ?b1 * ?c1 \ ?a1 * (?b1 * ?c1) ### Ignoring duplicate rewrite rule: ### ?a1 * ?b1 \ ?b1 * ?a1 ### Ignoring duplicate rewrite rule: ### ?b1 * (?a1 * ?c1) \ ?a1 * (?b1 * ?c1) ### Ignoring duplicate rewrite rule: ### ?a1 - ?b1 - ?c1 \ ?a1 - (?b1 + ?c1) ### Ignoring duplicate rewrite rule: ### ?a1 + (?b1 - ?c1) \ ?a1 + ?b1 - ?c1 ### Ignoring duplicate rewrite rule: ### ?a1 - ?b1 = ?c1 \ ?a1 = ?c1 + ?b1 ### Ignoring duplicate rewrite rule: ### ?a1 = ?c1 - ?b1 \ ?a1 + ?b1 = ?c1 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=9970name=lemmaelapsed=0.011 ### Ignoring duplicate rewrite rule: ### ?a1 - (?b1 - ?c1) \ ?a1 + ?c1 - ?b1 ### Ignoring duplicate rewrite rule: ### ?a1 - ?b1 + ?c1 \ ?a1 + ?c1 - ?b1 ### Ignoring duplicate rewrite rule: ### ?a1 - ?b1 < ?c1 \ ?a1 < ?c1 + ?b1 ### Ignoring duplicate rewrite rule: ### ?a1 < ?c1 - ?b1 \ ?a1 + ?b1 < ?c1 ### Ignoring duplicate rewrite rule: ### ?a1 - ?b1 \ ?c1 \ ?a1 \ ?c1 + ?b1 ### Ignoring duplicate rewrite rule: ### ?a1 \ ?c1 - ?b1 \ ?a1 + ?b1 \ ?c1 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) ### Rule already declared as introduction (intro) ### (\i. continuous_on UNIV (\x. ?f x i)) \ ### continuous_on UNIV ?f ML_statistics = :now=1489540542.07tasks_ready=110tasks_pending=7tasks_running=15tasks_passive=4tasks_urgent=0workers_total=16workers_active=8workers_waiting=5full_GCs=0partial_GCs=30size_allocation=3289382912size_allocation_free=3289382912size_heap=4166004736size_heap_free_last_full_GC=0size_heap_free_last_GC=3295227712threads_in_ML=3threads_total=19threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=195.112time_GC=6.624user_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=78588name=byelapsed=0.204 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=76657name=byelapsed=0.150 ### Ignoring duplicate introduction (intro) ### continuous_on {?a..?b} ?f \ ?f integrable_on {?a..?b} command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=14637name=lemmaelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=19844name=lemmaelapsed=0.019 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=20706name=lemmaelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=131name=no_notationelapsed=0.474 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=45254name=byelapsed=0.508 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=22243name=lemmaelapsed=0.013 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=208name=lemmaelapsed=0.032 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=2541name=lemmaelapsed=0.019 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=24260name=definitionelapsed=0.029 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=3595name=lemmaelapsed=0.029 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=25051name=lemmaelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=25300name=lemmaelapsed=0.013 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=5126name=lemmaelapsed=0.022 locale second_derivative_within = fixes f :: "'a \ 'b" and f' :: "'a \ 'a \\<^sub>L 'b" and f'' :: "'a \\<^sub>L 'a \\<^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=17199name=localeelapsed=0.030 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=27134name=lemmaelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=27718name=lemmaelapsed=0.024 locale second_derivative = fixes f :: "'a \ 'b" and f' :: "'a \ 'a \\<^sub>L 'b" and f'' :: "'a \\<^sub>L 'a \\<^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=17940name=localeelapsed=0.031 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=28723name=lemmaelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=19531name=lemmaelapsed=0.030 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=29256name=definitionelapsed=0.043 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=29747name=lemmaelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=30167name=lemmaelapsed=0.014 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=80545name=byelapsed=0.274 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=30472name=lemmaelapsed=0.014 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=30767name=lemmaelapsed=0.012 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=79692name=byelapsed=0.377 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=31747name=lemmaelapsed=0.012 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=32923name=lemmaelapsed=0.014 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=33370name=lemmaelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=35326name=lemmaelapsed=0.029 ML_statistics = :now=1489540542.57tasks_ready=144tasks_pending=7tasks_running=10tasks_passive=1tasks_urgent=0workers_total=16workers_active=8workers_waiting=1full_GCs=0partial_GCs=30size_allocation=3289382912size_allocation_free=1607771024size_heap=4166004736size_heap_free_last_full_GC=0size_heap_free_last_GC=3295227712threads_in_ML=8threads_total=19threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=198.196time_GC=6.624user_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=39570name=lemmaelapsed=0.015 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=42489name=lemmaelapsed=0.015 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=43230name=lemmaelapsed=0.017 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=80888name=byelapsed=0.240 locale continuous_rhs = fixes T :: "'a set" and X :: "'b set" and f :: "'a \ 'b \ 'c" assumes "continuous_rhs T X f" command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=48105name=localeelapsed=0.023 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=48211name=lemmaelapsed=0.011 locale global_lipschitz = fixes T :: "'a set" and X :: "'b set" and f :: "'a \ 'b \ 'c" and L :: "real" assumes "global_lipschitz T X f L" command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=48557name=localeelapsed=0.018 locale closed_domain = fixes X :: "'a set" assumes "closed_domain X" command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=48671name=localeelapsed=0.014 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68573name=byelapsed=1.009 locale interval = fixes T :: "real set" assumes "interval T" command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=48732name=localeelapsed=0.019 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68783name=byelapsed=0.017 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68827name=byelapsed=0.013 locale nonempty_set = fixes T :: "'a set" assumes "nonempty_set T" command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=49245name=localeelapsed=0.014 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=24374name=no_notationelapsed=0.388 ### theory "Multivariate_Taylor" ### 1.403s elapsed time, 10.552s cpu time, 0.224s GC time command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=68922name=byelapsed=0.012 locale compact_interval = fixes T :: "real set" assumes "compact_interval T" command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=49307name=localeelapsed=0.033 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=49404name=definitionelapsed=0.014 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=81297name=byelapsed=0.145 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=82191name=byelapsed=0.035 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=49430name=definitionelapsed=0.015 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=82518name=byelapsed=0.020 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=81697name=byelapsed=0.155 locale self_mapping = fixes T :: "real set" and t0 :: "real" and x0 :: "'a" and f :: "real \ 'a \ 'a" and X :: "'a set" assumes "self_mapping T t0 x0 f X" command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=50045name=localeelapsed=0.114 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=82951name=byelapsed=0.114 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=76958name=applyelapsed=0.883 locale unique_on_closed = fixes t0 :: "real" and T :: "real set" and x0 :: "'a" and f :: "real \ 'a \ 'a" and X :: "'a set" and L :: "real" assumes "unique_on_closed t0 T x0 f X L" command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thyoffset=50540name=localeelapsed=0.059 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=83129name=byelapsed=0.062 ML_statistics = :now=1489540543.07tasks_ready=157tasks_pending=7tasks_running=12tasks_passive=2tasks_urgent=0workers_total=16workers_active=8workers_waiting=2full_GCs=0partial_GCs=31size_allocation=3249537024size_allocation_free=3249537024size_heap=4178587648size_heap_free_last_full_GC=0size_heap_free_last_GC=3254993096threads_in_ML=2threads_total=19threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=201.416time_GC=6.764user_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=50985name=definitionelapsed=0.028 ### theory "Initial_Value_Problem" ### 1.708s elapsed time, 12.728s cpu time, 0.364s GC time command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=77219name=byelapsed=0.119 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=85094name=usingelapsed=0.012 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=84003name=byelapsed=0.210 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=84139name=byelapsed=0.015 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=82320name=byelapsed=0.531 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=86632name=byelapsed=0.015 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=1name=theoryelapsed=2.113 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=314name=lemmaelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=1260name=lemmaelapsed=0.015 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=2680name=lemmaelapsed=0.013 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=3503name=lemmaelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/MVT_Ex.thyoffset=3712name=lemmaelapsed=0.014 ### theory "MVT_Ex" ### 2.189s elapsed time, 16.468s cpu time, 0.364s GC time command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=87039name=byelapsed=0.149 ML_statistics = :now=1489540543.57tasks_ready=162tasks_pending=1tasks_running=11tasks_passive=3tasks_urgent=0workers_total=16workers_active=7workers_waiting=3full_GCs=0partial_GCs=31size_allocation=3249537024size_allocation_free=1794975752size_heap=4178587648size_heap_free_last_full_GC=0size_heap_free_last_GC=3254993096threads_in_ML=8threads_total=19threads_wait_condvar=10threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=204.496time_GC=6.764user_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=87276name=byelapsed=0.057 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=87924name=byelapsed=0.327 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=89099name=byelapsed=0.047 ML_statistics = :now=1489540544.13tasks_ready=158tasks_pending=1tasks_running=12tasks_passive=3tasks_urgent=0workers_total=16workers_active=7workers_waiting=4full_GCs=0partial_GCs=32size_allocation=3247439872size_allocation_free=3247439872size_heap=4178587648size_heap_free_last_full_GC=0size_heap_free_last_GC=3252651616threads_in_ML=3threads_total=19threads_wait_condvar=10threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=207.76time_GC=6.9user_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=89253name=byelapsed=0.285 ### Ignoring duplicate introduction (intro) ### open {} ### Ignoring duplicate introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### closed {} ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### closed UNIV ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Ignoring duplicate introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Ignoring duplicate introduction (intro) ### closed ?S \ open (- ?S) ### Ignoring duplicate introduction (intro) ### open ?S \ closed (- ?S) ### Ignoring duplicate introduction (intro) ### continuous_on ?s (linepath ?a ?b) ### Ignoring duplicate introduction (intro) ### (\i. continuous_on UNIV (\x. ?f x i)) \ ### continuous_on UNIV ?f command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=80038name=byelapsed=1.892 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=84312name=byelapsed=1.230 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=89353name=byelapsed=0.185 ### Rule already declared as introduction (intro) ### continuous_on {?a..?b} ?f \ ?f integrable_on {?a..?b} ### Rule already declared as introduction (intro) ### continuous_on {?a..?b} ?f \ ?f integrable_on {?a..?b} command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=83220name=byelapsed=1.461 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=91009name=byelapsed=0.069 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=95963name=byelapsed=0.096 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=89651name=byelapsed=0.163 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=94457name=byelapsed=0.138 ML_statistics = :now=1489540544.63tasks_ready=159tasks_pending=1tasks_running=13tasks_passive=2tasks_urgent=0workers_total=16workers_active=8workers_waiting=3full_GCs=0partial_GCs=32size_allocation=3247439872size_allocation_free=55445952size_heap=4178587648size_heap_free_last_full_GC=0size_heap_free_last_GC=3252651616threads_in_ML=8threads_total=19threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=213.308time_GC=6.9user_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=93032name=byelapsed=0.229 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=90207name=byelapsed=0.086 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=90518name=byelapsed=0.026 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=94677name=byelapsed=0.157 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=93252name=byelapsed=0.149 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=94753name=byelapsed=0.086 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=93327name=byelapsed=0.056 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=95007name=byelapsed=0.087 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=91161name=byelapsed=0.412 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=93580name=byelapsed=0.074 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Ignoring duplicate introduction (intro) ### open {} ### Ignoring duplicate introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Ignoring duplicate introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### closed {} ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### closed UNIV ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### (\i. continuous_on UNIV (\x. ?f x i)) \ ### continuous_on UNIV ?f ### Ignoring duplicate introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Ignoring duplicate introduction (intro) ### closed ?S \ open (- ?S) ### Ignoring duplicate introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### continuous_on ?s (linepath ?a ?b) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### (\i. continuous_on UNIV (\x. ?f x i)) \ ### continuous_on UNIV ?f ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) ### Rule already declared as introduction (intro) ### (\i. continuous_on UNIV (\x. ?f x i)) \ ### continuous_on UNIV ?f command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=95386name=byelapsed=0.112 ML_statistics = :now=1489540545.13tasks_ready=153tasks_pending=1tasks_running=13tasks_passive=3tasks_urgent=0workers_total=16workers_active=7workers_waiting=4full_GCs=0partial_GCs=33size_allocation=3232759808size_allocation_free=1621078744size_heap=4184879104size_heap_free_last_full_GC=0size_heap_free_last_GC=3239830704threads_in_ML=8threads_total=19threads_wait_condvar=10threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=216.6time_GC=6.96user_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=93899name=byelapsed=0.111 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=91261name=byelapsed=0.187 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=98682name=applyelapsed=0.042 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=98797name=byelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=98229name=applyelapsed=0.064 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=98333name=byelapsed=0.050 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=99561name=byelapsed=0.052 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=97205name=byelapsed=0.502 ### Rule already declared as introduction (intro) ### continuous_on {?a..?b} ?f \ ?f integrable_on {?a..?b} ### Rule already declared as introduction (intro) ### open {} command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=96050name=byelapsed=0.686 ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=100783name=byelapsed=0.035 ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Ignoring duplicate rewrite rule: ### ?A1 \ {} \ SUP x:?A1. ?y \ ?y ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) ### Rule already declared as introduction (intro) ### (\i. continuous_on UNIV (\x. ?f x i)) \ ### continuous_on UNIV ?f command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=99806name=byelapsed=0.059 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=101227name=byelapsed=0.024 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=97401name=byelapsed=0.060 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=91557name=byelapsed=0.179 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=100237name=byelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=101443name=qedelapsed=0.014 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=97481name=byelapsed=0.015 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=96222name=byelapsed=0.078 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=100464name=byelapsed=0.016 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=92030name=byelapsed=0.010 ### Rule already declared as introduction (intro) ### continuous_on {?a..?b} ?f \ ?f integrable_on {?a..?b} ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=102681name=byelapsed=0.016 ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) ### Rule already declared as introduction (intro) ### (\i. continuous_on UNIV (\x. ?f x i)) \ ### continuous_on UNIV ?f command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=100538name=byelapsed=0.055 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=103083name=byelapsed=0.012 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=92118name=byelapsed=0.057 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=103440name=byelapsed=0.054 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=96571name=byelapsed=0.106 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=92249name=byelapsed=0.066 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=97714name=byelapsed=0.152 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=92331name=byelapsed=0.010 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=97784name=byelapsed=0.015 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=92454name=byelapsed=0.027 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=103740name=byelapsed=0.147 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=104274name=byelapsed=0.014 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=104426name=byelapsed=0.013 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=104740name=byelapsed=0.015 ML_statistics = :now=1489540545.63tasks_ready=123tasks_pending=1tasks_running=14tasks_passive=3tasks_urgent=0workers_total=16workers_active=8workers_waiting=4full_GCs=0partial_GCs=34size_allocation=3239051264size_allocation_free=3239051264size_heap=4191170560size_heap_free_last_full_GC=0size_heap_free_last_GC=3244207184threads_in_ML=3threads_total=19threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=219.544time_GC=7.012user_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=104063name=byelapsed=0.149 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=105730name=byelapsed=0.020 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=106007name=byelapsed=0.019 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=106372name=byelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=106779name=byelapsed=0.021 ### Rule already declared as introduction (intro) ### \?b = ?f ?x; ?x \ ?A\ \ ?b \ ?f ` ?A command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=108113name=byelapsed=0.026 ### Rule already declared as introduction (intro) ### ((\x. x) \ ?a) (at ?a within ?s) ### Rule already declared as introduction (intro) ### ((\x. ?k) \ ?k) ?F command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=109714name=byelapsed=0.010 ### Rule already declared as introduction (intro) ### (?f \ ?x) ?F \ ### ((\x. ereal (?f x)) \ ereal ?x) ?F ### Rule already declared as introduction (intro) ### (?f \ ?x) ?F \ ### ((\x. - ?f x) \ - ?x) ?F ### Rule already declared as introduction (intro) ### \\?c\ \ \; ### (?f \ ?x) ?F\ ### \ ((\x. ?c * ?f x) \ ?c * ?x) ?F ### Rule already declared as introduction (intro) ### \?x \ 0; (?f \ ?x) ?F\ ### \ ((\x. ?c * ?f x) \ ?c * ?x) ?F ### Rule already declared as introduction (intro) ### \?y \ - \; ?x \ - \; ### (?f \ ?x) ?F\ ### \ ((\x. ?f x + ?y) \ ?x + ?y) ?F ### Rule already declared as introduction (intro) ### \\?y\ \ \; ### (?f \ ?x) ?F\ ### \ ((\x. ?f x + ?y) \ ?x + ?y) ?F command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=109294name=byelapsed=0.019 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=109103name=byelapsed=0.029 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=2997name=defineelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=4224name=defineelapsed=0.016 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=1075name=byelapsed=0.041 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=4726name=byelapsed=0.020 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=104672name=byelapsed=0.183 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=3325name=byelapsed=0.054 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=1205name=byelapsed=0.048 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=5692name=byelapsed=0.025 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=3533name=byelapsed=0.035 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=4823name=byelapsed=0.071 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=1688name=byelapsed=0.035 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=6524name=byelapsed=0.017 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=5021name=byelapsed=0.056 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=1852name=byelapsed=0.048 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=7042name=byelapsed=0.013 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=17806name=byelapsed=0.080 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=18532name=byelapsed=0.045 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=2048name=byelapsed=0.051 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=2313name=byelapsed=0.016 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=2383name=byelapsed=0.012 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=18743name=byelapsed=0.043 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=18922name=byelapsed=0.047 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=2465name=byelapsed=0.060 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=21160name=byelapsed=0.026 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=2502name=byelapsed=0.023 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=21422name=byelapsed=0.011 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=79175name=byelapsed=4.199 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=21528name=byelapsed=0.014 ML_statistics = :now=1489540546.13tasks_ready=8tasks_pending=1tasks_running=14tasks_passive=3tasks_urgent=0workers_total=16workers_active=8workers_waiting=4full_GCs=0partial_GCs=34size_allocation=3239051264size_allocation_free=1490551792size_heap=4191170560size_heap_free_last_full_GC=0size_heap_free_last_GC=3244207184threads_in_ML=8threads_total=19threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=222.616time_GC=7.012user_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=21722name=byelapsed=0.035 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=7154name=byelapsed=0.232 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=19056name=byelapsed=0.108 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=7216name=byelapsed=0.030 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/ODE_Auxiliarities.thyoffset=96652name=byelapsed=0.707 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=19257name=byelapsed=0.097 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=22097name=byelapsed=0.108 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=19380name=byelapsed=0.019 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=22337name=haveelapsed=0.013 ### Ignoring duplicate rewrite rule: ### continuous_on {?a1..?b1} ?f1 \ ### ?f1 integrable_on {?a1..?b1} \ True ### Ignoring duplicate rewrite rule: ### open {} \ True ### Ignoring duplicate rewrite rule: ### closed {} \ True ### Ignoring duplicate rewrite rule: ### closed UNIV \ True ### Ignoring duplicate rewrite rule: ### closed ?S1 \ closed (insert ?a1 ?S1) \ True ### Ignoring duplicate rewrite rule: ### open {?a1<..} \ True ### Ignoring duplicate rewrite rule: ### open {.. True ### Ignoring duplicate rewrite rule: ### open {?a1<.. True ### Ignoring duplicate rewrite rule: ### closed {..?a1} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..?b1} \ True ### Ignoring duplicate rewrite rule: ### continuous bot ?f1 \ True ### Ignoring duplicate rewrite rule: ### continuous (at ?x1 within ?S1) (\x. x) \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 (\x. ?c1) \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; ?f1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. inverse (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?g1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. ?f1 x / ?g1 x) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; 0 < ?f1 ?a1; ?f1 ?a1 \ 1; ### 0 < ?g1 ?a1\ ### \ isCont (\x. log (?f1 x) (?g1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?f1 ?a1 \ 0\ ### \ isCont (\x. ?f1 x powr ?g1 x) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; cos (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. tan (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; sin (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. cot (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 ?g1 \ ### continuous ?F1 (\x. cnj (?g1 x)) \ True ### Ignoring duplicate rewrite rule: ### continuous_on ?s1 ?g1 \ ### continuous_on ?s1 (\x. cnj (?g1 x)) \ True command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=22500name=byelapsed=0.076 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=22986name=alsoelapsed=0.013 command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=7455name=byelapsed=0.227 ### Ignoring duplicate safe introduction (intro!) ### \0 \ ?xa; ?xa \ 1\ ### \ x + ?xa *\<^sub>R (z - x) \ G ### Ignoring duplicate safe introduction (intro!) ### (\xa. x + xa *\<^sub>R (z - x)) ` {0..1} \ G ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) ### Rule already declared as introduction (intro) ### (\i. continuous_on UNIV (\x. ?f x i)) \ ### continuous_on UNIV ?f command_timing = :file=~~/afp/thys/Ordinary_Differential_Equations/Library/Multivariate_Taylor.thyoffset=23067name=byelapsed=0.123 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; 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has[]derivative[]in[]compose2$\OT1/ *** cmr/m/n/10 :$--- TODO: should there be sth like \OT1/cmr/m/it/10 op has[]deriva *** tive[]on\OT1/cmr/m/n/10 ? *** [17] *** Overfull \hbox (51.75807pt too wide) in paragraph at lines 4221--4223 *** [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 has[]derivative[]sin$\OT1/cmr/m/n/ *** 10 [$\OT1/cmr/m/it/10 derivative[]intros$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/1 *** 0 DERIV[]sin$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN DERIV[]compose[]FDERIV$\OT *** 1/cmr/m/n/10 ]$[] *** *** Overfull \hbox (41.16405pt too wide) in paragraph at lines 4223--4224 *** [][] \OT1/cmr/bx/n/10 and \OT1/cmr/m/it/10 has[]derivative[]cos$\OT1/cmr/m/n/ *** 10 [$\OT1/cmr/m/it/10 derivative[]intros$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/1 *** 0 DERIV[]cos$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN DERIV[]compose[]FDERIV$\OT *** 1/cmr/m/n/10 ]$[] *** *** Overfull \hbox (42.90712pt too wide) in paragraph at lines 4224--4225 *** [][] \OT1/cmr/bx/n/10 and \OT1/cmr/m/it/10 has[]derivative[]exp$\OT1/cmr/m/n/ *** 10 [$\OT1/cmr/m/it/10 derivative[]intros$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/1 *** 0 DERIV[]exp$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN DERIV[]compose[]FDERIV$\OT *** 1/cmr/m/n/10 ]$[] *** *** Overfull \hbox (30.83458pt too wide) in paragraph at lines 4225--4226 *** [][] \OT1/cmr/bx/n/10 and \OT1/cmr/m/it/10 has[]derivative[]ln$\OT1/cmr/m/n/1 *** 0 [$\OT1/cmr/m/it/10 derivative[]intros$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/10 *** DERIV[]ln$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN DERIV[]compose[]FDERIV$\OT1/ *** cmr/m/n/10 ]$[] *** *** Overfull \hbox (42.59004pt too wide) in paragraph at lines 4226--4227 *** [][] \OT1/cmr/bx/n/10 and \OT1/cmr/m/it/10 has[]derivative[]tan$\OT1/cmr/m/n/ *** 10 [$\OT1/cmr/m/it/10 derivative[]intros$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/1 *** 0 DERIV[]tan$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN DERIV[]compose[]FDERIV$\OT *** 1/cmr/m/n/10 ]$[] *** [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] *** Overfull \hbox (2.8469pt too wide) in paragraph at lines 6705--6706 *** [][] \OT1/cmr/bx/n/10 shows $\OT1/cmr/m/n/10 ($$($$\OML/cmm/m/it/10 ^^U$\OT1/c *** mr/m/it/10 u$\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 ivl[]integral a u f$\OT1/cmr/ *** m/n/10 )$ \OT1/cmr/m/it/10 has[]vector[]derivative f x$\OT1/cmr/m/n/10 )$ $($\O *** T1/cmr/m/it/10 at x within closed[]segment *** *** Overfull \hbox (2.33577pt too wide) in paragraph at lines 6823--6824 *** [][] \OT1/cmr/bx/n/10 shows $\OT1/cmr/m/n/10 ($$($$\OML/cmm/m/it/10 ^^U$\OT1/c *** mr/m/it/10 u$\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 ivl[]integral c u f$\OT1/cmr/ *** m/n/10 )$ \OT1/cmr/m/it/10 has[]vector[]derivative f x$\OT1/cmr/m/n/10 )$ $($\O *** T1/cmr/m/it/10 at x within closed[]segment *** [30] [31] [32] [33] [34] *** Overfull \hbox (13.40407pt too wide) in paragraph at lines 8131--8133 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 truncate[]up[]err[]eq[]0I$\OT1/cmr/ *** m/n/10 :$ \OT1/cmr/m/it/10 truncate[]up p $\OMS/cmsy/m/n/10 j$\OT1/cmr/m/it/10 *** truncate[]up p f $\OMS/cmsy/m/n/10 ^^@$ \OT1/cmr/m/it/10 f$\OMS/cmsy/m/n/10 j$ *** $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 0 $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ *** \OT1/cmr/m/it/10 truncate[]up *** [35] [36] *** Overfull \hbox (26.08336pt too wide) in paragraph at lines 8476--8480 *** [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 uniform[]limit[]subset[]union $\OT *** 1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 uniform[]limit[]on[]subset$\OT1/cmr/m/n/10 [$\ *** OT1/cmr/m/it/10 OF uniform[]limit[]on[]Un$\OT1/cmr/m/n/10 ]$ *** [37]) (./MVT_Ex.tex [38] *** Overfull \hbox (3.75691pt too wide) in paragraph at lines 25--25 *** []\OT1/cmr/bx/n/12 (Counter)Example of Mean Value The-o-rem in Eu-clidean *** ) (./Initial_Value_Problem.tex) (./Bounded_Linear_Operator.tex [39] *** Overfull \hbox (16.91258pt too wide) in paragraph at lines 47--63 *** [][]\OT1/cmr/bx/n/10 lift[]definition \OT1/cmr/m/it/10 blinop[]apply$\OT1/cmr/m *** /n/10 :$$:$$($$ [] $\OT1/cmr/m/it/10 a$\OT1/cmr/m/n/10 :$$:$\OT1/cmr/m/it/10 re *** al[]normed[]vector$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 blinop $\OMS/cmsy/m/n/10 *** )$ $ [] $\OT1/cmr/m/it/10 a $\OMS/cmsy/m/n/10 )$ $ [] $\OT1/cmr/m/it/10 a \OT1 *** /cmr/bx/n/10 is \OT1/cmr/m/it/10 blinfun[]apply *** *** Overfull \hbox (2.93983pt too wide) in paragraph at lines 63--79 *** [][]\OT1/cmr/bx/n/10 lift[]definition \OT1/cmr/m/it/10 Blinop$\OT1/cmr/m/n/10 : *** $$:$$($$ [] $\OT1/cmr/m/it/10 a$\OT1/cmr/m/n/10 :$$:$\OT1/cmr/m/it/10 real[]nor *** med[]vector $\OMS/cmsy/m/n/10 )$ $ [] $\OT1/cmr/m/it/10 a$\OT1/cmr/m/n/10 )$ $\ *** OMS/cmsy/m/n/10 )$ $ [] $\OT1/cmr/m/it/10 a blinop \OT1/cmr/bx/n/10 is \OT1/cmr *** /m/it/10 Blin-fun $\OMS/cmsy/m/n/10 h[]i$[] *** [40] *** Overfull \hbox (81.52203pt too wide) in paragraph at lines 500--501 *** [][] \OT1/cmr/m/it/10 bounded[]bilinear$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 bo *** unded[]uniform[]limit$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Bounded[]Linear[]Op *** erator$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 bounded[]bilinear[]blinop[]apply$\OT *** 1/cmr/m/n/10 ]$[] *** *** Overfull \hbox (85.18504pt too wide) in paragraph at lines 501--502 *** [][] \OT1/cmr/m/it/10 bounded[]bilinear$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 bo *** unded[]uniform[]limit$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Bounded[]Linear[]Fu *** nction$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 bounded[]bilinear[]blinfun[]apply$\O *** T1/cmr/m/n/10 ]$[] *** *** Overfull \hbox (2.2271pt too wide) in paragraph at lines 503--504 *** [][] \OT1/cmr/m/it/10 bounded[]bilinear$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 bo *** unded[]uniform[]limit$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Bounded[]Linear[]Fu *** nction$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 blinfun$\OML/cmm/m/it/10 :$\OT1/cmr/ *** m/it/10 flip$\OT1/cmr/m/n/10 ]$[] *** [41]) (./Multivariate_Taylor.tex [42] [43])) *** No file root.bbl. *** [44] (./root.aux) *** *** Package rerunfilecheck Warning: File `root.out' has changed. *** (rerunfilecheck) Rerun to get outlines right *** (rerunfilecheck) or use package `bookmark'. *** *** *** LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. *** *** ) *** (see the transcript file for additional information) *** Output written on root.pdf (44 pages, 279865 bytes). *** Transcript written on root.log. *** This is BibTeX, Version 0.99d (TeX Live 2015/dev/Debian) *** The top-level auxiliary file: root.aux *** The style file: abbrv.bst *** I found no \citation commands---while reading file root.aux *** Database file #1: root.bib *** (There was 1 error message) *** Document preparation failure in directory '/media/data/jenkins/workspace/isabelle-nightly-slow/browser_info/AFP/Ordinary_Differential_Equations/outline' *** *** Failed to build document "/media/data/jenkins/workspace/isabelle-nightly-slow/browser_info/AFP/Ordinary_Differential_Equations/outline.pdf" *** Type unification failed: Clash of types "_ \ _" and "_ \\<^sub>C _" *** *** Type error in application: incompatible operand type *** *** Operator: op = (P x) :: real \\<^sub>C 'a \ bool *** Operand: ext_cont (P_inner x) tmin tmax :: real \ 'a *** *** Coercion Inference: *** *** Local coercion insertion on the operand failed: *** No coercion known for type constructors: "fun" and "bcontfun" *** At command "definition" (line 1383 of "~~/afp/thys/Ordinary_Differential_Equations/IVP/Initial_Value_Problem.thy")