Session.name = HOL-Quickcheck_Benchmark Loading theory "Predicate_Compile_Alternative_Defs" (required by "Needham_Schroeder_No_Attacker_Example" via "Needham_Schroeder_Base" via "Predicate_Compile_Quickcheck") loading_theory = Predicate_Compile_Alternative_Defs Loading theory "Find_Unused_Assms_Examples" loading_theory = Find_Unused_Assms_Examples command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=115name=theoryelapsed=0.119 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Find_Unused_Assms_Examples.thyoffset=1name=theoryelapsed=0.164 ### theory "Find_Unused_Assms_Examples" ### 0.168s elapsed time, 0.424s cpu time, 0.000s GC time command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=2522name=setupelapsed=0.026 Proofs for inductive predicate(s) "less_nat" Proving monotonicity ... command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=5997name=inductiveelapsed=0.023 Proofs for inductive predicate(s) "less_eq_nat" Proving monotonicity ... command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=6363name=inductiveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=7322name=code_predelapsed=0.067 ### Code generator: dropping subsumed code equation ### List.member [] ?y \ False ### Code generator: dropping subsumed code equation ### List.member (?x # ?xs) ?y \ ?x = ?y \ List.member ?xs ?y command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=7772name=code_predelapsed=0.037 ### theory "Predicate_Compile_Alternative_Defs" ### 0.389s elapsed time, 1.700s cpu time, 0.036s GC time Loading theory "Predicate_Compile_Quickcheck" (required by "Needham_Schroeder_No_Attacker_Example" via "Needham_Schroeder_Base") loading_theory = Predicate_Compile_Quickcheck ML_statistics = :now=1483663623.76tasks_ready=1053tasks_pending=5tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=1size_allocation=524288000size_allocation_free=524288000size_heap=536870912size_heap_free_last_full_GC=0size_heap_free_last_GC=532909784threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=3.328time_GC=0.036user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Quickcheck.thyoffset=178name=theoryelapsed=0.071 ### ML warning (line 230 of "~~/src/HOL/Tools/Predicate_Compile/predicate_compile_quickcheck.ML"): ### Matches are not exhaustive. ### ML warning (line 250 of "~~/src/HOL/Tools/Predicate_Compile/predicate_compile_quickcheck.ML"): ### Matches are not exhaustive. ### ML warning (line 264 of "~~/src/HOL/Tools/Predicate_Compile/predicate_compile_quickcheck.ML"): ### Matches are not exhaustive. ### ML warning (line 325 of "~~/src/HOL/Tools/Predicate_Compile/predicate_compile_quickcheck.ML"): ### Value identifier (size) has not been referenced. ### ML warning (line 325 of "~~/src/HOL/Tools/Predicate_Compile/predicate_compile_quickcheck.ML"): ### Value identifier (nrandom) has not been referenced. ### ML warning (line 285 of "~~/src/HOL/Tools/Predicate_Compile/predicate_compile_quickcheck.ML"): ### Matches are not exhaustive. signature PREDICATE_COMPILE_QUICKCHECK = sig val debug: bool ref val no_higher_order_predicate: string list ref val nrandom: int ref val put_cps_result: (unit -> Code_Numeral.natural -> (bool * term list) option) -> Proof.context -> Proof.context val put_dseq_result: (unit -> Code_Numeral.natural -> Code_Numeral.natural -> seed -> term list Limited_Sequence.dseq * seed) -> Proof.context -> Proof.context val put_lseq_result: (unit -> Code_Numeral.natural -> Code_Numeral.natural -> seed -> Code_Numeral.natural -> term list Lazy_Sequence.lazy_sequence) -> Proof.context -> Proof.context val put_new_dseq_result: (unit -> Code_Numeral.natural -> term list Lazy_Sequence.lazy_sequence) -> Proof.context -> Proof.context val put_pred_result: (unit -> Code_Numeral.natural -> Code_Numeral.natural -> Code_Numeral.natural -> seed -> term list Predicate.pred) -> Proof.context -> Proof.context type seed = Random_Engine.seed val test_goals: Predicate_Compile_Aux.compilation * bool -> Proof.context -> bool -> (string * typ) list -> (term * term list) list -> Quickcheck.result list end structure Predicate_Compile_Quickcheck: PREDICATE_COMPILE_QUICKCHECK command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Quickcheck.thyoffset=266name=ML_fileelapsed=0.164 ### theory "Predicate_Compile_Quickcheck" ### 0.238s elapsed time, 1.412s cpu time, 0.000s GC time Loading theory "Needham_Schroeder_Base" (required by "Needham_Schroeder_No_Attacker_Example") loading_theory = Needham_Schroeder_Base command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=1name=theoryelapsed=0.091 ML_statistics = :now=1483663624.27tasks_ready=1047tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=2size_allocation=1032847360size_allocation_free=1032847360size_heap=1039138816size_heap_free_last_full_GC=0size_heap_free_last_GC=1042704508threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=5.164time_GC=0.096user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=101name=datatypeelapsed=0.402 ML_statistics = :now=1483663624.77tasks_ready=1044tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=4size_allocation=1006632960size_allocation_free=1006632960size_heap=1041235968size_heap_free_last_full_GC=0size_heap_free_last_GC=1015634444threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=8.212time_GC=0.208user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=261name=datatypeelapsed=0.424 Found termination order: "{}" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=303name=funelapsed=0.038 ML_statistics = :now=1483663625.27tasks_ready=1023tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=6size_allocation=990904320size_allocation_free=990904320size_heap=1039138816size_heap_free_last_full_GC=0size_heap_free_last_GC=999950884threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=11.348time_GC=0.328user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663625.78tasks_ready=1022tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=8size_allocation=969932800size_allocation_free=969932800size_heap=1039138816size_heap_free_last_full_GC=0size_heap_free_last_GC=978651808threads_in_ML=4threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=14.292time_GC=0.448user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=383name=datatypeelapsed=0.890 Proofs for inductive predicate(s) "partsp" Proving monotonicity ... command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=669name=inductive_setelapsed=0.069 Proofs for inductive predicate(s) "analzp" Proving monotonicity ... command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=961name=inductive_setelapsed=0.092 Proofs for inductive predicate(s) "synthp" Proving monotonicity ... command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=1281name=inductive_setelapsed=0.070 consts initState :: "agent \ msg set" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=1598name=primrecelapsed=0.010 ML_statistics = :now=1483663626.28tasks_ready=1020tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=10size_allocation=957349888size_allocation_free=957349888size_heap=1039138816size_heap_free_last_full_GC=0size_heap_free_last_GC=965273816threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=17.096time_GC=0.544user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=1885name=datatypeelapsed=0.671 consts knows :: "agent \ event list \ msg set" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=1992name=primrecelapsed=0.019 consts used :: "event list \ msg set" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=2772name=primrecelapsed=0.011 ML_statistics = :now=1483663626.8tasks_ready=1013tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=12size_allocation=937426944size_allocation_free=937426944size_heap=1039138816size_heap_free_last_full_GC=0size_heap_free_last_GC=946987796threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=19.86time_GC=0.644user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Found termination order: "(\p. length (snd p)) <*mlex*> {}" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=3152name=funelapsed=0.075 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=6236name=code_predelapsed=0.038 ### theory "Needham_Schroeder_Base" ### 2.961s elapsed time, 17.148s cpu time, 0.668s GC time Loading theory "Needham_Schroeder_Guided_Attacker_Example" loading_theory = Needham_Schroeder_Guided_Attacker_Example command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=1name=theoryelapsed=0.072 Proofs for inductive predicate(s) "ns_publicp" Proving monotonicity ... command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=88name=inductive_setelapsed=0.174 ### Infering modes ### 0.039s elapsed time, 0.236s cpu time, 0.000s GC time ### Defining executable functions... ### 0.004s elapsed time, 0.020s cpu time, 0.000s GC time ### Compiling equations.... ### 0.016s elapsed time, 0.096s cpu time, 0.000s GC time ### Proving equations.... ### 0.002s elapsed time, 0.012s cpu time, 0.000s GC time ### Setting code equations.... ### 0.003s elapsed time, 0.016s cpu time, 0.000s GC time command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=1494name=code_predelapsed=0.072 ML_statistics = :now=1483663627.3tasks_ready=1019tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=14size_allocation=920649728size_allocation_free=920649728size_heap=1044381696size_heap_free_last_full_GC=0size_heap_free_last_GC=929706648threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=22.596time_GC=0.736user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Infering modes ### 0.093s elapsed time, 0.560s cpu time, 0.000s GC time ### Compiling equations.... ### 0.050s elapsed time, 0.252s cpu time, 0.052s GC time ### Proving equations.... ### 0.009s elapsed time, 0.052s cpu time, 0.000s GC time ### Setting code equations.... ### 0.010s elapsed time, 0.064s cpu time, 0.000s GC time command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=1612name=code_predelapsed=0.163 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=2360name=lemmaelapsed=0.010 ### theory "Needham_Schroeder_Guided_Attacker_Example" ### 0.507s elapsed time, 2.952s cpu time, 0.084s GC time Loading theory "Needham_Schroeder_No_Attacker_Example" loading_theory = Needham_Schroeder_No_Attacker_Example command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_No_Attacker_Example.thyoffset=1name=theoryelapsed=0.071 Proofs for inductive predicate(s) "ns_publicp" Proving monotonicity ... command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_No_Attacker_Example.thyoffset=84name=inductive_setelapsed=0.111 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_No_Attacker_Example.thyoffset=1013name=code_predelapsed=0.024 ### Infering modes ### 0.029s elapsed time, 0.176s cpu time, 0.000s GC time ### Defining executable functions... ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### Compiling equations.... ### 0.010s elapsed time, 0.060s cpu time, 0.000s GC time ### Proving equations.... ### 0.001s elapsed time, 0.012s cpu time, 0.000s GC time ### Setting code equations.... ### 0.002s elapsed time, 0.012s cpu time, 0.000s GC time command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_No_Attacker_Example.thyoffset=1013name=code_predelapsed=0.047 ### Infering modes ### 0.072s elapsed time, 0.432s cpu time, 0.000s GC time ### Compiling equations.... ### 0.024s elapsed time, 0.144s cpu time, 0.000s GC time ### Proving equations.... ### 0.006s elapsed time, 0.040s cpu time, 0.000s GC time ### Setting code equations.... ### 0.008s elapsed time, 0.044s cpu time, 0.000s GC time command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_No_Attacker_Example.thyoffset=1074name=code_predelapsed=0.111 ### theory "Needham_Schroeder_No_Attacker_Example" ### 0.375s elapsed time, 2.200s cpu time, 0.052s GC time Loading theory "Needham_Schroeder_Unguided_Attacker_Example" loading_theory = Needham_Schroeder_Unguided_Attacker_Example ML_statistics = :now=1483663627.8tasks_ready=1020tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=16size_allocation=910163968size_allocation_free=910163968size_heap=1040187392size_heap_free_last_full_GC=0size_heap_free_last_GC=918983420threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=25.34time_GC=0.84user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=1name=theoryelapsed=0.086 Proofs for inductive predicate(s) "ns_publicp" Proving monotonicity ... command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=90name=inductive_setelapsed=0.137 ### Infering modes ### 0.003s elapsed time, 0.016s cpu time, 0.000s GC time ### Defining executable functions... ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### Compiling equations.... ### 0.001s elapsed time, 0.008s cpu time, 0.000s GC time ### Proving equations.... ### 0.000s elapsed time, 0.004s cpu time, 0.000s GC time ### Setting code equations.... ### 0.000s elapsed time, 0.004s cpu time, 0.000s GC time ### Infering modes ### 0.029s elapsed time, 0.176s cpu time, 0.000s GC time ### Defining executable functions... ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### Compiling equations.... ### 0.010s elapsed time, 0.064s cpu time, 0.000s GC time ### Proving equations.... ### 0.002s elapsed time, 0.012s cpu time, 0.000s GC time ### Setting code equations.... ### 0.002s elapsed time, 0.016s cpu time, 0.000s GC time command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=1245name=code_predelapsed=0.063 ### Infering modes ### 0.089s elapsed time, 0.492s cpu time, 0.036s GC time ### Compiling equations.... ### 0.024s elapsed time, 0.144s cpu time, 0.000s GC time ### Proving equations.... ### 0.007s elapsed time, 0.040s cpu time, 0.000s GC time ### Setting code equations.... ### 0.008s elapsed time, 0.048s cpu time, 0.000s GC time command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=1363name=code_predelapsed=0.128 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=2114name=lemmaelapsed=0.010 ### theory "Needham_Schroeder_Unguided_Attacker_Example" ### 0.439s elapsed time, 2.548s cpu time, 0.076s GC time ML_statistics = :now=1483663628.31tasks_ready=1509tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=18size_allocation=897581056size_allocation_free=897581056size_heap=1043333120size_heap_free_last_full_GC=0size_heap_free_last_GC=906987764threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=28.12time_GC=0.916user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663628.82tasks_ready=1502tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=21size_allocation=879755264size_allocation_free=879755264size_heap=1042284544size_heap_free_last_full_GC=0size_heap_free_last_GC=887680072threads_in_ML=3threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=32.068time_GC=1.056user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663629.33tasks_ready=1491tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=23size_allocation=869269504size_allocation_free=869269504size_heap=1041235968size_heap_free_last_full_GC=0size_heap_free_last_GC=877914800threads_in_ML=3threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=34.628time_GC=1.144user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663629.83tasks_ready=1457tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=25size_allocation=855638016size_allocation_free=855638016size_heap=1042284544size_heap_free_last_full_GC=0size_heap_free_last_GC=864462812threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=37.176time_GC=1.228user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663630.33tasks_ready=1441tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=27size_allocation=843055104size_allocation_free=843055104size_heap=1042284544size_heap_free_last_full_GC=0size_heap_free_last_GC=852238956threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=39.64time_GC=1.312user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663630.85tasks_ready=1430tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=30size_allocation=826277888size_allocation_free=826277888size_heap=1044381696size_heap_free_last_full_GC=0size_heap_free_last_GC=835031528threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=43.392time_GC=1.44user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1483663690.86tasks_ready=1544tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=2partial_GCs=850size_allocation=358612992size_allocation_free=358612992size_heap=638582784size_heap_free_last_full_GC=6724484size_heap_free_last_GC=364473256threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=338.968time_GC=27.928user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Found 9 theorems with (potentially) superfluous assumptions: GCD.Lcm_0_iff_nat: unnecessary assumption(s) 1 GCD.gcd_non_0_int: unnecessary assumption(s) 1 GCD.gcd_non_0_nat: unnecessary assumption(s) 1 GCD.Gcd_remove0_nat: unnecessary assumption(s) 1 GCD.mult_inj_if_coprime_nat: unnecessary assumption(s) 3 GCD.transfer_int_nat_gcd_closures_2: unnecessary assumption(s) 1 and 2 GCD.transfer_int_nat_gcd_closures_1: unnecessary assumption(s) 1 and 2 GCD.transfer_nat_int_gcd_closures_2: unnecessary assumption(s) 1 and 2 GCD.transfer_nat_int_gcd_closures_1: unnecessary assumption(s) 1 and 2 Checked 70 theorems with assumptions (158 total) in the theory "GCD" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Find_Unused_Assms_Examples.thyoffset=157name=find_unused_assmselapsed=67.538 ML_statistics = :now=1483663691.36tasks_ready=1658tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=2partial_GCs=855size_allocation=338690048size_allocation_free=338690048size_heap=642777088size_heap_free_last_full_GC=6724484size_heap_free_last_GC=344516992threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=341.244time_GC=28.072user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1483663716.88tasks_ready=1147tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1251size_allocation=291504128size_allocation_free=291504128size_heap=579862528size_heap_free_last_full_GC=8646212size_heap_free_last_GC=298204672threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=463.3time_GC=41.308user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663717.4tasks_ready=1130tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1257size_allocation=271581184size_allocation_free=271581184size_heap=580911104size_heap_free_last_full_GC=8646212size_heap_free_last_GC=279890108threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=465.7time_GC=41.5user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663717.9tasks_ready=1116tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1264size_allocation=253755392size_allocation_free=253755392size_heap=580911104size_heap_free_last_full_GC=8646212size_heap_free_last_GC=262562744threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=468.372time_GC=41.692user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663718.41tasks_ready=1105tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1271size_allocation=234881024size_allocation_free=234881024size_heap=579862528size_heap_free_last_full_GC=8646212size_heap_free_last_GC=242082960threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=470.936time_GC=41.892user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Found 4 theorems with (potentially) superfluous assumptions: Wellfounded.wf_converse: unnecessary assumption(s) 3 Wellfounded.finite_acyclic_wf: unnecessary assumption(s) 1 Wellfounded.wf_iff_acyclic_if_finite: unnecessary assumption(s) 1 Wellfounded.finite_acyclic_wf_converse: unnecessary assumption(s) 1 Checked 73 theorems with assumptions (111 total) in the theory "Wellfounded" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Find_Unused_Assms_Examples.thyoffset=340name=find_unused_assmselapsed=54.724 ML_statistics = :now=1483663718.92tasks_ready=1095tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1279size_allocation=213909504size_allocation_free=213909504size_heap=580911104size_heap_free_last_full_GC=8646212size_heap_free_last_GC=222261388threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=473.452time_GC=42.128user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663719.46tasks_ready=1094tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1288size_allocation=192937984size_allocation_free=192937984size_heap=578813952size_heap_free_last_full_GC=8646212size_heap_free_last_GC=200598748threads_in_ML=3threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=476.108time_GC=42.38user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663719.97tasks_ready=1089tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1297size_allocation=174063616size_allocation_free=174063616size_heap=579862528size_heap_free_last_full_GC=8646212size_heap_free_last_GC=182405304threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=478.432time_GC=42.616user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663720.47tasks_ready=1086tasks_pending=1tasks_running=10tasks_passive=0tasks_urgent=0workers_total=12workers_active=5workers_waiting=1full_GCs=4partial_GCs=1307size_allocation=150994944size_allocation_free=150994944size_heap=580911104size_heap_free_last_full_GC=8646212size_heap_free_last_GC=158654104threads_in_ML=1threads_total=16threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=480.744time_GC=42.904user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Found 5 theorems with (potentially) superfluous assumptions: Relation.reflp_sup: unnecessary assumption(s) 1 or 2 Relation.lfp_induct2: unnecessary assumption(s) 2 Relation.finite_Field: unnecessary assumption(s) 1 Relation.finite_Range: unnecessary assumption(s) 1 Relation.finite_Domain: unnecessary assumption(s) 1 Checked 106 theorems with assumptions (317 total) in the theory "Relation" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Find_Unused_Assms_Examples.thyoffset=291name=find_unused_assmselapsed=97.261 ML_statistics = :now=1483663721.01tasks_ready=1072tasks_pending=1tasks_running=10tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1317size_allocation=131072000size_allocation_free=131072000size_heap=580911104size_heap_free_last_full_GC=8646212size_heap_free_last_GC=140928276threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=482.848time_GC=43.224user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663721.55tasks_ready=1067tasks_pending=1tasks_running=10tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1331size_allocation=106954752size_allocation_free=106954752size_heap=580911104size_heap_free_last_full_GC=8646212size_heap_free_last_GC=115115160threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=485.22time_GC=43.588user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=6218name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=6565name=applyelapsed=0.018 ML_statistics = :now=1483663722.09tasks_ready=1056tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=1full_GCs=4partial_GCs=1344size_allocation=87031808size_allocation_free=87031808size_heap=579862528size_heap_free_last_full_GC=8646212size_heap_free_last_GC=94277740threads_in_ML=1threads_total=16threads_wait_condvar=6threads_wait_IO=0threads_wait_mutex=2threads_wait_signal=1time_CPU=487.04time_GC=43.988user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Found 1 theorems with (potentially) superfluous assumptions: Fun.notIn_Un_bij_betw: unnecessary assumption(s) 1 Checked 107 theorems with assumptions (173 total) in the theory "Fun" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Find_Unused_Assms_Examples.thyoffset=269name=find_unused_assmselapsed=98.634 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=7796name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=7468name=applyelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=7507name=applyelapsed=0.023 ns_publicp_i ?x = sup (Predicate.bind (Predicate.single ?x) (\x. case x of [] \ Predicate.single () | a # list \ bot)) (sup (Predicate.bind (Predicate.single ?x) (\x. case x of [] \ bot | Says Spy B_ (Crypt (pubEK Ba_) \Nonce NA_, Agent A_\) # evs1_ \ if B_ = Ba_ then Predicate.bind (Predicate.if_pred (Nonce NA_ \ analz (knows Spy evs1_))) (\x. case x of () \ Predicate.bind (ns_publicp_i evs1_) (\x. case x of () \ Predicate.single ())) else bot | Says Spy B_ (Crypt (pubEK Ba_) \Nonce NA_, _\) # evs1_ \ bot | Says Spy B_ (Crypt (pubEK Ba_) \_, msg2\) # evs1_ \ bot | Says Spy B_ (Crypt (pubEK Ba_) _) # evs1_ \ bot | Says Spy B_ (Crypt (priEK agent) msga) # evs1_ \ bot | Says Spy B_ _ # evs1_ \ bot | Says _ B_ msg # evs1_ \ bot | _ # evs1_ \ bot)) (sup (Predicate.bind (Predicate.single ?x) (\x. case x of [] \ bot | Says Spy A_ (Crypt (pubEK Aa_) \Nonce NA_, Nonce NB_\) # evs1_ \ if A_ = Aa_ then Predicate.bind (Predicate.if_pred (Nonce NA_ \ analz (knows Spy evs1_))) (\x. case x of () \ Predicate.bind (Predicate.if_pred (Nonce NB_ \ analz (knows Spy evs1_))) (\x. case x of () \ Predicate.bind (ns_publicp_i evs1_) (\x. case x of () \ Predicate.single ()))) else bot | Says Spy A_ (Crypt (pubEK Aa_) \Nonce NA_, _\) # evs1_ \ bot | Says Spy A_ (Crypt (pubEK Aa_) \_, msg2\) # evs1_ \ bot | Says Spy A_ (Crypt (pubEK Aa_) _) # evs1_ \ bot | Says Spy A_ (Crypt (priEK agent) msga) # evs1_ \ bot | Says Spy A_ _ # evs1_ \ bot | Says _ A_ msg # evs1_ \ bot | _ # evs1_ \ bot)) (sup (Predicate.bind (Predicate.single ?x) (\x. case x of [] \ bot | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, Agent Aa_\) # evs1_ \ if B_ = Ba_ \ A_ = Aa_ then Predicate.bind (Predicate.not_pred (Predicate.if_pred (Nonce NA_ \ used evs1_))) (\x. case x of () \ Predicate.bind (ns_publicp_i evs1_) (\x. case x of () \ Predicate.single ())) else bot | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, _\) # evs1_ \ bot | Says A_ B_ (Crypt (pubEK Ba_) \_, msg2\) # evs1_ \ bot | Says A_ B_ (Crypt (pubEK Ba_) _) # evs1_ \ bot | Says A_ B_ (Crypt (priEK agent) msga) # evs1_ \ bot | Says A_ B_ _ # evs1_ \ bot | _ # evs1_ \ bot)) (sup (Predicate.bind (Predicate.single ?x) (\x. case x of [] \ bot | Says B_ A_ (Crypt (pubEK Aa_) \Nonce NA_, Nonce NB_\) # evs2_ \ if A_ = Aa_ then Predicate.bind (Predicate.not_pred (Predicate.if_pred (Nonce NB_ \ used evs2_))) (\x. case x of () \ Predicate.bind (pred_of_set (set evs2_)) (\x. case x of Says A'_ Ba_ (Crypt (pubEK Bb_) \Nonce NAa_, Agent Ab_\) \ if NA_ = NAa_ \ A_ = Ab_ \ B_ = Bb_ \ B_ = Ba_ then Predicate.bind (ns_publicp_i evs2_) (\x. case x of () \ Predicate.single ()) else bot | Says A'_ Ba_ (Crypt (pubEK Bb_) \Nonce NAa_, _\) \ bot | Says A'_ Ba_ (Crypt (pubEK Bb_) \_, msg2\) \ bot | Says A'_ Ba_ (Crypt (pubEK Bb_) _) \ bot | Says A'_ Ba_ (Crypt (priEK agent) msga) \ bot | Says A'_ Ba_ _ \ bot | _ \ bot)) else bot | Says B_ A_ (Crypt (pubEK Aa_) \Nonce NA_, _\) # evs2_ \ bot | Says B_ A_ (Crypt (pubEK Aa_) \_, msg2\) # evs2_ \ bot | Says B_ A_ (Crypt (pubEK Aa_) _) # evs2_ \ bot | Says B_ A_ (Crypt (priEK agent) msga) # evs2_ \ bot | Says B_ A_ _ # evs2_ \ bot | _ # evs2_ \ bot)) (Predicate.bind (Predicate.single ?x) (\x. case x of [] \ bot | Says A_ B_ (Crypt (pubEK Ba_) (Nonce NB_)) # evs3_ \ if B_ = Ba_ then Predicate.bind (pred_of_set (set evs3_)) (\x. case x of Says Aa_ Bb_ (Crypt (pubEK Bc_) \Nonce NA_, Agent Ab_\) \ if B_ = Bc_ \ B_ = Bb_ \ A_ = Ab_ \ A_ = Aa_ then Predicate.bind (pred_of_set (set evs3_)) (\x. case x of Says B'_ Ac_ (Crypt (pubEK Ad_) \Nonce NAa_, Nonce NBa_\) \ if NB_ = NBa_ \ A_ = Ad_ \ A_ = Ac_ \ NA_ = NAa_ then Predicate.bind (ns_publicp_i evs3_) (\x. case x of () \ Predicate.single ()) else bot | Says B'_ Ac_ (Crypt (pubEK Ad_) \Nonce NAa_, _\) \ bot | Says B'_ Ac_ (Crypt (pubEK Ad_) \_, msg2\) \ bot | Says B'_ Ac_ (Crypt (pubEK Ad_) _) \ bot | Says B'_ Ac_ (Crypt (priEK agent) msga) \ bot | Says B'_ Ac_ _ \ bot | _ \ bot) else bot | Says Aa_ Bb_ (Crypt (pubEK Bc_) \Nonce NA_, _\) \ bot | Says Aa_ Bb_ (Crypt (pubEK Bc_) \_, msg2\) \ bot | Says Aa_ Bb_ (Crypt (pubEK Bc_) _) \ bot | Says Aa_ Bb_ (Crypt (priEK agent) msga) \ bot | Says Aa_ Bb_ _ \ bot | _ \ bot) else bot | Says A_ B_ (Crypt (pubEK Ba_) _) # evs3_ \ bot | Says A_ B_ (Crypt (priEK agent) msga) # evs3_ \ bot | Says A_ B_ _ # evs3_ \ bot | _ # evs3_ \ bot)))))) ns_publicp ?x1.0 = Predicate.holds (ns_publicp_i ?x1.0) command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=1587name=thmelapsed=0.029 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=6290name=byelapsed=0.135 ### preprocess-obtain graph ### 0.003s elapsed time, 0.016s cpu time, 0.000s GC time ### preprocess-process ### 0.004s elapsed time, 0.024s cpu time, 0.000s GC time ### Infering modes ### 0.004s elapsed time, 0.020s cpu time, 0.000s GC time ### Compiling equations.... ### 0.003s elapsed time, 0.016s cpu time, 0.000s GC time ### Proving equations.... ### 0.001s elapsed time, 0.008s cpu time, 0.000s GC time ### Setting code equations.... ### 0.002s elapsed time, 0.012s cpu time, 0.000s GC time ### Infering modes ### 0.095s elapsed time, 0.444s cpu time, 0.068s GC time ### Compiling equations.... ### 0.014s elapsed time, 0.040s cpu time, 0.020s GC time ### Proving equations.... ### 0.002s elapsed time, 0.012s cpu time, 0.000s GC time ### Setting code equations.... ### 0.002s elapsed time, 0.008s cpu time, 0.000s GC time ML_statistics = :now=1483663722.63tasks_ready=1027tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1362size_allocation=70254592size_allocation_free=70254592size_heap=581959680size_heap_free_last_full_GC=8646212size_heap_free_last_GC=76262680threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=489.2time_GC=44.412user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=1549name=byelapsed=0.797 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3628name=showelapsed=0.011 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3753name=applyelapsed=0.026 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3411name=showelapsed=0.015 ML_statistics = :now=1483663723.15tasks_ready=1032tasks_pending=1tasks_running=12tasks_passive=3tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1381size_allocation=45088768size_allocation_free=45088768size_heap=580911104size_heap_free_last_full_GC=8646212size_heap_free_last_GC=52547468threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=490.928time_GC=44.884user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3326name=byelapsed=0.538 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3120name=byelapsed=0.064 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3000name=byelapsed=0.038 ns_publicp_i ?x = sup (Predicate.bind (Predicate.single ?x) (\x. case x of [] \ Predicate.single () | a # list \ bot)) (sup (Predicate.bind (Predicate.single ?x) (\x. case x of [] \ bot | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, Agent Aa_\) # evs1_ \ if B_ = Ba_ \ A_ = Aa_ then Predicate.bind (Predicate.not_pred (Predicate.if_pred (Nonce NA_ \ used evs1_))) (\x. case x of () \ Predicate.bind (ns_publicp_i evs1_) (\x. case x of () \ Predicate.single ())) else bot | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, _\) # evs1_ \ bot | Says A_ B_ (Crypt (pubEK Ba_) \_, msg2\) # evs1_ \ bot | Says A_ B_ (Crypt (pubEK Ba_) _) # evs1_ \ bot | Says A_ B_ (Crypt (priEK agent) msga) # evs1_ \ bot | Says A_ B_ _ # evs1_ \ bot | _ # evs1_ \ bot)) (sup (Predicate.bind (Predicate.single ?x) (\x. case x of [] \ bot | Says B_ A_ (Crypt (pubEK Aa_) \Nonce NA_, Nonce NB_\) # evs2_ \ if A_ = Aa_ then Predicate.bind (Predicate.not_pred (Predicate.if_pred (Nonce NB_ \ used evs2_))) (\x. case x of () \ Predicate.bind (pred_of_set (set evs2_)) (\x. case x of Says A'_ Ba_ (Crypt (pubEK Bb_) \Nonce NAa_, Agent Ab_\) \ if NA_ = NAa_ \ A_ = Ab_ \ B_ = Bb_ \ B_ = Ba_ then Predicate.bind (ns_publicp_i evs2_) (\x. case x of () \ Predicate.single ()) else bot | Says A'_ Ba_ (Crypt (pubEK Bb_) \Nonce NAa_, _\) \ bot | Says A'_ Ba_ (Crypt (pubEK Bb_) \_, msg2\) \ bot | Says A'_ Ba_ (Crypt (pubEK Bb_) _) \ bot | Says A'_ Ba_ (Crypt (priEK agent) msga) \ bot | Says A'_ Ba_ _ \ bot | _ \ bot)) else bot | Says B_ A_ (Crypt (pubEK Aa_) \Nonce NA_, _\) # evs2_ \ bot | Says B_ A_ (Crypt (pubEK Aa_) \_, msg2\) # evs2_ \ bot | Says B_ A_ (Crypt (pubEK Aa_) _) # evs2_ \ bot | Says B_ A_ (Crypt (priEK agent) msga) # evs2_ \ bot | Says B_ A_ _ # evs2_ \ bot | _ # evs2_ \ bot)) (Predicate.bind (Predicate.single ?x) (\x. case x of [] \ bot | Says A_ B_ (Crypt (pubEK Ba_) (Nonce NB_)) # evs3_ \ if B_ = Ba_ then Predicate.bind (pred_of_set (set evs3_)) (\x. case x of Says Aa_ Bb_ (Crypt (pubEK Bc_) \Nonce NA_, Agent Ab_\) \ if B_ = Bc_ \ B_ = Bb_ \ A_ = Ab_ \ A_ = Aa_ then Predicate.bind (pred_of_set (set evs3_)) (\x. case x of Says B'_ Ac_ (Crypt (pubEK Ad_) \Nonce NAa_, Nonce NBa_\) \ if NB_ = NBa_ \ A_ = Ad_ \ A_ = Ac_ \ NA_ = NAa_ then Predicate.bind (ns_publicp_i evs3_) (\x. case x of () \ Predicate.single ()) else bot | Says B'_ Ac_ (Crypt (pubEK Ad_) \Nonce NAa_, _\) \ bot | Says B'_ Ac_ (Crypt (pubEK Ad_) \_, msg2\) \ bot | Says B'_ Ac_ (Crypt (pubEK Ad_) _) \ bot | Says B'_ Ac_ (Crypt (priEK agent) msga) \ bot | Says B'_ Ac_ _ \ bot | _ \ bot) else bot | Says Aa_ Bb_ (Crypt (pubEK Bc_) \Nonce NA_, _\) \ bot | Says Aa_ Bb_ (Crypt (pubEK Bc_) \_, msg2\) \ bot | Says Aa_ Bb_ (Crypt (pubEK Bc_) _) \ bot | Says Aa_ Bb_ (Crypt (priEK agent) msga) \ bot | Says Aa_ Bb_ _ \ bot | _ \ bot) else bot | Says A_ B_ (Crypt (pubEK Ba_) _) # evs3_ \ bot | Says A_ B_ (Crypt (priEK agent) msga) # evs3_ \ bot | Says A_ B_ _ # evs3_ \ bot | _ # evs3_ \ bot)))) ns_publicp ?x1.0 = Predicate.holds (ns_publicp_i ?x1.0) command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_No_Attacker_Example.thyoffset=1049name=thmelapsed=0.016 ML_statistics = :now=1483663723.79tasks_ready=1014tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1393size_allocation=490733568size_allocation_free=490733568size_heap=553648128size_heap_free_last_full_GC=7555688size_heap_free_last_GC=498731148threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=492.948time_GC=45.628user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 generator_cps_pos_ns_publicp_i ?x = Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.pos_bound_cps_single () | a # list \ Quickcheck_Exhaustive.pos_bound_cps_empty)) (Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Spy B_ (Crypt (pubEK Ba_) \Nonce NA_, Agent A_\) # evs1_ \ if B_ = Ba_ then Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_if (Nonce NA_ \ analz (knows Spy evs1_))) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind (generator_cps_pos_ns_publicp_i evs1_) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_single ())) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says Spy B_ (Crypt (pubEK Ba_) \Nonce NA_, _\) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Spy B_ (Crypt (pubEK Ba_) \_, msg2\) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Spy B_ (Crypt (pubEK Ba_) _) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Spy B_ (Crypt (priEK agent) msga) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Spy B_ _ # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says _ B_ msg # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty)) (Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Spy A_ (Crypt (pubEK Aa_) \Nonce NA_, Nonce NB_\) # evs1_ \ if A_ = Aa_ then Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_if (Nonce NA_ \ analz (knows Spy evs1_))) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_if (Nonce NB_ \ analz (knows Spy evs1_))) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind (generator_cps_pos_ns_publicp_i evs1_) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_single ()))) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says Spy A_ (Crypt (pubEK Aa_) \Nonce NA_, _\) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Spy A_ (Crypt (pubEK Aa_) \_, msg2\) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Spy A_ (Crypt (pubEK Aa_) _) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Spy A_ (Crypt (priEK agent) msga) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Spy A_ _ # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says _ A_ msg # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty)) (Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, Agent Aa_\) # evs1_ \ if B_ = Ba_ \ A_ = Aa_ then Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_not (Quickcheck_Exhaustive.neg_bound_cps_if (Nonce NA_ \ used evs1_))) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind (generator_cps_pos_ns_publicp_i evs1_) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_single ())) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, _\) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \_, msg2\) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) _) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (priEK agent) msga) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ _ # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty)) (Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) \Nonce NA_, Nonce NB_\) # evs2_ \ if A_ = Aa_ then Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_not (Quickcheck_Exhaustive.neg_bound_cps_if (Nonce NB_ \ used evs2_))) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (set evs2_)) (\x. case x of Says A'_ Ba_ (Crypt (pubEK Bb_) \Nonce NAa_, Agent Ab_\) \ if NA_ = NAa_ \ A_ = Ab_ \ B_ = Bb_ \ B_ = Ba_ then Quickcheck_Exhaustive.pos_bound_cps_bind (generator_cps_pos_ns_publicp_i evs2_) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_single ()) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ Ba_ (Crypt (pubEK Bb_) \Nonce NAa_, _\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ Ba_ (Crypt (pubEK Bb_) \_, msg2\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ Ba_ (Crypt (pubEK Bb_) _) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ Ba_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ Ba_ _ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty)) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) \Nonce NA_, _\) # evs2_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) \_, msg2\) # evs2_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) _) # evs2_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B_ A_ (Crypt (priEK agent) msga) # evs2_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B_ A_ _ # evs2_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ # evs2_ \ Quickcheck_Exhaustive.pos_bound_cps_empty)) (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) (Nonce NB_)) # evs3_ \ if B_ = Ba_ then Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (set evs3_)) (\x. case x of Says Aa_ Bb_ (Crypt (pubEK Bc_) \Nonce NA_, Agent Ab_\) \ if B_ = Bc_ \ B_ = Bb_ \ A_ = Ab_ \ A_ = Aa_ then Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (set evs3_)) (\x. case x of Says B'_ Ac_ (Crypt (pubEK Ad_) \Nonce NAa_, Nonce NBa_\) \ if NB_ = NBa_ \ A_ = Ad_ \ A_ = Ac_ \ NA_ = NAa_ then Quickcheck_Exhaustive.pos_bound_cps_bind (generator_cps_pos_ns_publicp_i evs3_) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_single ()) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ac_ (Crypt (pubEK Ad_) \Nonce NAa_, _\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ac_ (Crypt (pubEK Ad_) \_, msg2\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ac_ (Crypt (pubEK Ad_) _) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ac_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ac_ _ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says Aa_ Bb_ (Crypt (pubEK Bc_) \Nonce NA_, _\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Aa_ Bb_ (Crypt (pubEK Bc_) \_, msg2\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Aa_ Bb_ (Crypt (pubEK Bc_) _) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Aa_ Bb_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Aa_ Bb_ _ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) _) # evs3_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (priEK agent) msga) # evs3_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ _ # evs3_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ # evs3_ \ Quickcheck_Exhaustive.pos_bound_cps_empty)))))) generator_cps_pos_ns_publicp_o = Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ()) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_single [])) (Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ()) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind generator_cps_pos_ns_publicp_o (\x. Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (analz (knows Spy x))) (\xa. case xa of Nonce NA_ \ Quickcheck_Exhaustive.pos_bound_cps_bind exhaustive_class.exhaustive (\xa. Quickcheck_Exhaustive.pos_bound_cps_bind exhaustive_class.exhaustive (\xaa. Quickcheck_Exhaustive.pos_bound_cps_single (Says Spy xa (Crypt (pubEK xa) \Nonce NA_, Agent xaa\) # x))) | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty)))) (Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ()) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind generator_cps_pos_ns_publicp_o (\x. Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (analz (knows Spy x))) (\xa. case xa of Nonce NA_ \ Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (analz (knows Spy x))) (\xa. case xa of Nonce NB_ \ Quickcheck_Exhaustive.pos_bound_cps_bind exhaustive_class.exhaustive (\xa. Quickcheck_Exhaustive.pos_bound_cps_single (Says Spy xa (Crypt (pubEK xa) \Nonce NA_, Nonce NB_\) # x)) | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty) | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty)))) (Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ()) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind generator_cps_pos_ns_publicp_o (\x. Quickcheck_Exhaustive.pos_bound_cps_bind exhaustive_class.exhaustive (\xa. Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_not (Quickcheck_Exhaustive.neg_bound_cps_if (Nonce xa \ used x))) (\xaa. case xaa of () \ Quickcheck_Exhaustive.pos_bound_cps_bind exhaustive_class.exhaustive (\xaa. Quickcheck_Exhaustive.pos_bound_cps_bind exhaustive_class.exhaustive (\xaaa. Quickcheck_Exhaustive.pos_bound_cps_single (Says xaaa xaa (Crypt (pubEK xaa) \Nonce xa, Agent xaaa\) # x)))))))) (Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ()) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind generator_cps_pos_ns_publicp_o (\x. Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (set x)) (\xa. case xa of Says A'_ B_ (Crypt (pubEK Ba_) \Nonce NA_, Agent A_\) \ if B_ = Ba_ then Quickcheck_Exhaustive.pos_bound_cps_bind exhaustive_class.exhaustive (\xa. Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_not (Quickcheck_Exhaustive.neg_bound_cps_if (Nonce xa \ used x))) (\xaa. case xaa of () \ Quickcheck_Exhaustive.pos_bound_cps_single (Says B_ A_ (Crypt (pubEK A_) \Nonce NA_, Nonce xa\) # x))) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ B_ (Crypt (pubEK Ba_) \Nonce NA_, _\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ B_ (Crypt (pubEK Ba_) \_, msg2\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ B_ (Crypt (pubEK Ba_) _) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ B_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ B_ _ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty)))) (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ()) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind generator_cps_pos_ns_publicp_o (\x. Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (set x)) (\xa. case xa of Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, Agent Aa_\) \ if B_ = Ba_ \ A_ = Aa_ then Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (set x)) (\xa. case xa of Says B'_ Ab_ (Crypt (pubEK Ac_) \Nonce NAa_, Nonce NB_\) \ if A_ = Ac_ \ A_ = Ab_ \ NA_ = NAa_ then Quickcheck_Exhaustive.pos_bound_cps_single (Says A_ B_ (Crypt (pubEK B_) (Nonce NB_)) # x) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ab_ (Crypt (pubEK Ac_) \Nonce NAa_, _\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ab_ (Crypt (pubEK Ac_) \_, msg2\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ab_ (Crypt (pubEK Ac_) _) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ab_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ab_ _ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, _\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \_, msg2\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) _) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ _ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty)))))))) generator_cps_neg_ns_publicp_i ?x = Quickcheck_Exhaustive.neg_bound_cps_plus (Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.neg_bound_cps_single () | a # list \ Quickcheck_Exhaustive.neg_bound_cps_empty)) (Quickcheck_Exhaustive.neg_bound_cps_plus (Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Spy B_ (Crypt (pubEK Ba_) \Nonce NA_, Agent A_\) # evs1_ \ if B_ = Ba_ then Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_if (Nonce NA_ \ analz (knows Spy evs1_))) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_bind (generator_cps_neg_ns_publicp_i evs1_) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_single ())) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says Spy B_ (Crypt (pubEK Ba_) \Nonce NA_, _\) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Spy B_ (Crypt (pubEK Ba_) \_, msg2\) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Spy B_ (Crypt (pubEK Ba_) _) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Spy B_ (Crypt (priEK agent) msga) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Spy B_ _ # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says _ B_ msg # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty)) (Quickcheck_Exhaustive.neg_bound_cps_plus (Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Spy A_ (Crypt (pubEK Aa_) \Nonce NA_, Nonce NB_\) # evs1_ \ if A_ = Aa_ then Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_if (Nonce NA_ \ analz (knows Spy evs1_))) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_if (Nonce NB_ \ analz (knows Spy evs1_))) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_bind (generator_cps_neg_ns_publicp_i evs1_) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_single ()))) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says Spy A_ (Crypt (pubEK Aa_) \Nonce NA_, _\) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Spy A_ (Crypt (pubEK Aa_) \_, msg2\) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Spy A_ (Crypt (pubEK Aa_) _) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Spy A_ (Crypt (priEK agent) msga) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Spy A_ _ # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says _ A_ msg # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty)) (Quickcheck_Exhaustive.neg_bound_cps_plus (Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, Agent Aa_\) # evs1_ \ if B_ = Ba_ \ A_ = Aa_ then Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_not (Quickcheck_Exhaustive.pos_bound_cps_if (Nonce NA_ \ used evs1_))) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_bind (generator_cps_neg_ns_publicp_i evs1_) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_single ())) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, _\) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \_, msg2\) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) _) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (priEK agent) msga) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ _ # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty)) (Quickcheck_Exhaustive.neg_bound_cps_plus (Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) \Nonce NA_, Nonce NB_\) # evs2_ \ if A_ = Aa_ then Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_not (Quickcheck_Exhaustive.pos_bound_cps_if (Nonce NB_ \ used evs2_))) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_bind (neg_cps_of_set (set evs2_)) (\x. case x of Says A'_ Ba_ (Crypt (pubEK Bb_) \Nonce NAa_, Agent Ab_\) \ if NA_ = NAa_ \ A_ = Ab_ \ B_ = Bb_ \ B_ = Ba_ then Quickcheck_Exhaustive.neg_bound_cps_bind (generator_cps_neg_ns_publicp_i evs2_) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_single ()) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says A'_ Ba_ (Crypt (pubEK Bb_) \Nonce NAa_, _\) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A'_ Ba_ (Crypt (pubEK Bb_) \_, msg2\) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A'_ Ba_ (Crypt (pubEK Bb_) _) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A'_ Ba_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A'_ Ba_ _ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ \ Quickcheck_Exhaustive.neg_bound_cps_empty)) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) \Nonce NA_, _\) # evs2_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) \_, msg2\) # evs2_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) _) # evs2_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B_ A_ (Crypt (priEK agent) msga) # evs2_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B_ A_ _ # evs2_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ # evs2_ \ Quickcheck_Exhaustive.neg_bound_cps_empty)) (Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) (Nonce NB_)) # evs3_ \ if B_ = Ba_ then Quickcheck_Exhaustive.neg_bound_cps_bind (neg_cps_of_set (set evs3_)) (\x. case x of Says Aa_ Bb_ (Crypt (pubEK Bc_) \Nonce NA_, Agent Ab_\) \ if B_ = Bc_ \ B_ = Bb_ \ A_ = Ab_ \ A_ = Aa_ then Quickcheck_Exhaustive.neg_bound_cps_bind (neg_cps_of_set (set evs3_)) (\x. case x of Says B'_ Ac_ (Crypt (pubEK Ad_) \Nonce NAa_, Nonce NBa_\) \ if NB_ = NBa_ \ A_ = Ad_ \ A_ = Ac_ \ NA_ = NAa_ then Quickcheck_Exhaustive.neg_bound_cps_bind (generator_cps_neg_ns_publicp_i evs3_) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_single ()) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says B'_ Ac_ (Crypt (pubEK Ad_) \Nonce NAa_, _\) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B'_ Ac_ (Crypt (pubEK Ad_) \_, msg2\) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B'_ Ac_ (Crypt (pubEK Ad_) _) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B'_ Ac_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B'_ Ac_ _ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ \ Quickcheck_Exhaustive.neg_bound_cps_empty) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says Aa_ Bb_ (Crypt (pubEK Bc_) \Nonce NA_, _\) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Aa_ Bb_ (Crypt (pubEK Bc_) \_, msg2\) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Aa_ Bb_ (Crypt (pubEK Bc_) _) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Aa_ Bb_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Aa_ Bb_ _ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ \ Quickcheck_Exhaustive.neg_bound_cps_empty) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) _) # evs3_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (priEK agent) msga) # evs3_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ _ # evs3_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ # evs3_ \ Quickcheck_Exhaustive.neg_bound_cps_empty)))))) command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=1651name=thmelapsed=1.618 ### preprocess-obtain graph ### 0.003s elapsed time, 0.016s cpu time, 0.000s GC time ### preprocess-process ### 0.004s elapsed time, 0.024s cpu time, 0.000s GC time ### Infering modes ### 0.004s elapsed time, 0.024s cpu time, 0.000s GC time ### Compiling equations.... ### 0.003s elapsed time, 0.016s cpu time, 0.000s GC time ### Proving equations.... ### 0.001s elapsed time, 0.008s cpu time, 0.000s GC time ### Setting code equations.... ### 0.002s elapsed time, 0.012s cpu time, 0.000s GC time ### Infering modes ### 0.073s elapsed time, 0.396s cpu time, 0.024s GC time ### Compiling equations.... ### 0.004s elapsed time, 0.020s cpu time, 0.000s GC time ### Proving equations.... ### 0.002s elapsed time, 0.012s cpu time, 0.000s GC time ### Setting code equations.... ### 0.002s elapsed time, 0.008s cpu time, 0.000s GC time Depth: 0 Depth 0: 0 ms Depth: 1 Depth 1: 0 ms Depth: 2 Depth 2: 0 ms Depth: 3 Depth 3: 0 ms Depth: 4 Depth 4: 56 ms Depth: 5 ML_statistics = :now=1483663724.29tasks_ready=1009tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1398size_allocation=477102080size_allocation_free=477102080size_heap=553648128size_heap_free_last_full_GC=7555688size_heap_free_last_GC=486287540threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=495.86time_GC=45.744user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 generator_cps_pos_ns_publicp_i ?x = Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.pos_bound_cps_single () | a # list \ Quickcheck_Exhaustive.pos_bound_cps_empty)) (Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, Agent Aa_\) # evs1_ \ if B_ = Ba_ \ A_ = Aa_ then Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_not (Quickcheck_Exhaustive.neg_bound_cps_if (Nonce NA_ \ used evs1_))) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind (generator_cps_pos_ns_publicp_i evs1_) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_single ())) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, _\) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \_, msg2\) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) _) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (priEK agent) msga) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ _ # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty)) (Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) \Nonce NA_, Nonce NB_\) # evs2_ \ if A_ = Aa_ then Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_not (Quickcheck_Exhaustive.neg_bound_cps_if (Nonce NB_ \ used evs2_))) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (set evs2_)) (\x. case x of Says A'_ Ba_ (Crypt (pubEK Bb_) \Nonce NAa_, Agent Ab_\) \ if NA_ = NAa_ \ A_ = Ab_ \ B_ = Bb_ \ B_ = Ba_ then Quickcheck_Exhaustive.pos_bound_cps_bind (generator_cps_pos_ns_publicp_i evs2_) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_single ()) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ Ba_ (Crypt (pubEK Bb_) \Nonce NAa_, _\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ Ba_ (Crypt (pubEK Bb_) \_, msg2\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ Ba_ (Crypt (pubEK Bb_) _) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ Ba_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ Ba_ _ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty)) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) \Nonce NA_, _\) # evs2_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) \_, msg2\) # evs2_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) _) # evs2_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B_ A_ (Crypt (priEK agent) msga) # evs2_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B_ A_ _ # evs2_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ # evs2_ \ Quickcheck_Exhaustive.pos_bound_cps_empty)) (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) (Nonce NB_)) # evs3_ \ if B_ = Ba_ then Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (set evs3_)) (\x. case x of Says Aa_ Bb_ (Crypt (pubEK Bc_) \Nonce NA_, Agent Ab_\) \ if B_ = Bc_ \ B_ = Bb_ \ A_ = Ab_ \ A_ = Aa_ then Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (set evs3_)) (\x. case x of Says B'_ Ac_ (Crypt (pubEK Ad_) \Nonce NAa_, Nonce NBa_\) \ if NB_ = NBa_ \ A_ = Ad_ \ A_ = Ac_ \ NA_ = NAa_ then Quickcheck_Exhaustive.pos_bound_cps_bind (generator_cps_pos_ns_publicp_i evs3_) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_single ()) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ac_ (Crypt (pubEK Ad_) \Nonce NAa_, _\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ac_ (Crypt (pubEK Ad_) \_, msg2\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ac_ (Crypt (pubEK Ad_) _) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ac_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ac_ _ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says Aa_ Bb_ (Crypt (pubEK Bc_) \Nonce NA_, _\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Aa_ Bb_ (Crypt (pubEK Bc_) \_, msg2\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Aa_ Bb_ (Crypt (pubEK Bc_) _) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Aa_ Bb_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Aa_ Bb_ _ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) _) # evs3_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (priEK agent) msga) # evs3_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ _ # evs3_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ # evs3_ \ Quickcheck_Exhaustive.pos_bound_cps_empty)))) generator_cps_pos_ns_publicp_o = Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ()) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_single [])) (Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ()) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind generator_cps_pos_ns_publicp_o (\x. Quickcheck_Exhaustive.pos_bound_cps_bind exhaustive_class.exhaustive (\xa. Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_not (Quickcheck_Exhaustive.neg_bound_cps_if (Nonce xa \ used x))) (\xaa. case xaa of () \ Quickcheck_Exhaustive.pos_bound_cps_bind exhaustive_class.exhaustive (\xaa. Quickcheck_Exhaustive.pos_bound_cps_bind exhaustive_class.exhaustive (\xaaa. Quickcheck_Exhaustive.pos_bound_cps_single (Says xaaa xaa (Crypt (pubEK xaa) \Nonce xa, Agent xaaa\) # x)))))))) (Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ()) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind generator_cps_pos_ns_publicp_o (\x. Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (set x)) (\xa. case xa of Says A'_ B_ (Crypt (pubEK Ba_) \Nonce NA_, Agent A_\) \ if B_ = Ba_ then Quickcheck_Exhaustive.pos_bound_cps_bind exhaustive_class.exhaustive (\xa. Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_not (Quickcheck_Exhaustive.neg_bound_cps_if (Nonce xa \ used x))) (\xaa. case xaa of () \ Quickcheck_Exhaustive.pos_bound_cps_single (Says B_ A_ (Crypt (pubEK A_) \Nonce NA_, Nonce xa\) # x))) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ B_ (Crypt (pubEK Ba_) \Nonce NA_, _\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ B_ (Crypt (pubEK Ba_) \_, msg2\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ B_ (Crypt (pubEK Ba_) _) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ B_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ B_ _ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty)))) (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ()) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind generator_cps_pos_ns_publicp_o (\x. Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (set x)) (\xa. case xa of Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, Agent Aa_\) \ if B_ = Ba_ \ A_ = Aa_ then Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (set x)) (\xa. case xa of Says B'_ Ab_ (Crypt (pubEK Ac_) \Nonce NAa_, Nonce NB_\) \ if A_ = Ac_ \ A_ = Ab_ \ NA_ = NAa_ then Quickcheck_Exhaustive.pos_bound_cps_single (Says A_ B_ (Crypt (pubEK B_) (Nonce NB_)) # x) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ab_ (Crypt (pubEK Ac_) \Nonce NAa_, _\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ab_ (Crypt (pubEK Ac_) \_, msg2\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ab_ (Crypt (pubEK Ac_) _) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ab_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ab_ _ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, _\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \_, msg2\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) _) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ _ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty)))))) generator_cps_neg_ns_publicp_i ?x = Quickcheck_Exhaustive.neg_bound_cps_plus (Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.neg_bound_cps_single () | a # list \ Quickcheck_Exhaustive.neg_bound_cps_empty)) (Quickcheck_Exhaustive.neg_bound_cps_plus (Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, Agent Aa_\) # evs1_ \ if B_ = Ba_ \ A_ = Aa_ then Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_not (Quickcheck_Exhaustive.pos_bound_cps_if (Nonce NA_ \ used evs1_))) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_bind (generator_cps_neg_ns_publicp_i evs1_) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_single ())) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, _\) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \_, msg2\) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) _) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (priEK agent) msga) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ _ # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty)) (Quickcheck_Exhaustive.neg_bound_cps_plus (Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) \Nonce NA_, Nonce NB_\) # evs2_ \ if A_ = Aa_ then Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_not (Quickcheck_Exhaustive.pos_bound_cps_if (Nonce NB_ \ used evs2_))) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_bind (neg_cps_of_set (set evs2_)) (\x. case x of Says A'_ Ba_ (Crypt (pubEK Bb_) \Nonce NAa_, Agent Ab_\) \ if NA_ = NAa_ \ A_ = Ab_ \ B_ = Bb_ \ B_ = Ba_ then Quickcheck_Exhaustive.neg_bound_cps_bind (generator_cps_neg_ns_publicp_i evs2_) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_single ()) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says A'_ Ba_ (Crypt (pubEK Bb_) \Nonce NAa_, _\) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A'_ Ba_ (Crypt (pubEK Bb_) \_, msg2\) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A'_ Ba_ (Crypt (pubEK Bb_) _) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A'_ Ba_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A'_ Ba_ _ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ \ Quickcheck_Exhaustive.neg_bound_cps_empty)) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) \Nonce NA_, _\) # evs2_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) \_, msg2\) # evs2_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) _) # evs2_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B_ A_ (Crypt (priEK agent) msga) # evs2_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B_ A_ _ # evs2_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ # evs2_ \ Quickcheck_Exhaustive.neg_bound_cps_empty)) (Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) (Nonce NB_)) # evs3_ \ if B_ = Ba_ then Quickcheck_Exhaustive.neg_bound_cps_bind (neg_cps_of_set (set evs3_)) (\x. case x of Says Aa_ Bb_ (Crypt (pubEK Bc_) \Nonce NA_, Agent Ab_\) \ if B_ = Bc_ \ B_ = Bb_ \ A_ = Ab_ \ A_ = Aa_ then Quickcheck_Exhaustive.neg_bound_cps_bind (neg_cps_of_set (set evs3_)) (\x. case x of Says B'_ Ac_ (Crypt (pubEK Ad_) \Nonce NAa_, Nonce NBa_\) \ if NB_ = NBa_ \ A_ = Ad_ \ A_ = Ac_ \ NA_ = NAa_ then Quickcheck_Exhaustive.neg_bound_cps_bind (generator_cps_neg_ns_publicp_i evs3_) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_single ()) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says B'_ Ac_ (Crypt (pubEK Ad_) \Nonce NAa_, _\) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B'_ Ac_ (Crypt (pubEK Ad_) \_, msg2\) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B'_ Ac_ (Crypt (pubEK Ad_) _) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B'_ Ac_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B'_ Ac_ _ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ \ Quickcheck_Exhaustive.neg_bound_cps_empty) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says Aa_ Bb_ (Crypt (pubEK Bc_) \Nonce NA_, _\) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Aa_ Bb_ (Crypt (pubEK Bc_) \_, msg2\) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Aa_ Bb_ (Crypt (pubEK Bc_) _) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Aa_ Bb_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Aa_ Bb_ _ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ \ Quickcheck_Exhaustive.neg_bound_cps_empty) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) _) # evs3_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (priEK agent) msga) # evs3_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ _ # evs3_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ # evs3_ \ Quickcheck_Exhaustive.neg_bound_cps_empty)))) command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_No_Attacker_Example.thyoffset=1113name=thmelapsed=0.654 ### preprocess-obtain graph ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### preprocess-process ### 0.006s elapsed time, 0.036s cpu time, 0.000s GC time ### Infering modes ### 0.004s elapsed time, 0.020s cpu time, 0.000s GC time ### Compiling equations.... ### 0.016s elapsed time, 0.052s cpu time, 0.032s GC time ### Proving equations.... ### 0.001s elapsed time, 0.008s cpu time, 0.000s GC time ### Setting code equations.... ### 0.002s elapsed time, 0.008s cpu time, 0.000s GC time ### Defining executable functions... ### 0.000s elapsed time, 0.004s cpu time, 0.000s GC time ### Proving equations.... ### 0.001s elapsed time, 0.004s cpu time, 0.000s GC time ### Setting code equations.... ### 0.001s elapsed time, 0.004s cpu time, 0.000s GC time Depth 5: 4644 ms ML_statistics = :now=1483663724.8tasks_ready=1005tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1403size_allocation=459276288size_allocation_free=459276288size_heap=554696704size_heap_free_last_full_GC=7555688size_heap_free_last_GC=468598600threads_in_ML=2threads_total=16threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=498.272time_GC=45.86user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Quickcheck found a counterexample: evs = [Says Alice Bob (Crypt (pubEK Bob) (Nonce (Suc 0))), Says Bob Alice (Crypt (pubEK Alice) \Nonce 0, Nonce (Suc 0)\), Says Alice Bob (Crypt (pubEK Bob) \Nonce 0, Agent Alice\)] NB = Suc 0 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=1778name=quickcheckelapsed=2.532 Checking goals: \ns_publicp evs; Says B A (Crypt (pubEK A) \Nonce NA, Nonce NB\) \ set evs; A \ Spy; B \ Spy; A \ B\ \ Nonce NB \ analz (knows Spy evs) Testing conjecture with Quickcheck-narrowing... Depth: 0 Depth 0: 0 ms Depth: 1 Depth 1: 0 ms Depth: 2 Depth 2: 0 ms Depth: 3 Depth 3: 4 ms Depth: 4 Depth 4: 44 ms Depth: 5 ML_statistics = :now=1483663725.31tasks_ready=1002tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1409size_allocation=441450496size_allocation_free=441450496size_heap=549453824size_heap_free_last_full_GC=7555688size_heap_free_last_GC=449644684threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=501.136time_GC=46.048user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Infering modes ### 1.011s elapsed time, 5.608s cpu time, 0.292s GC time ### Defining executable functions... ### 0.002s elapsed time, 0.012s cpu time, 0.000s GC time Depth 5: 3064 ms Quickcheck found a counterexample: evs = [Says Alice Bob (Crypt (pubEK Bob) (Nonce (Suc 0))), Says Bob Alice (Crypt (pubEK Alice) \Nonce 0, Nonce (Suc 0)\), Says Alice Bob (Crypt (pubEK Bob) \Nonce 0, Agent Alice\)] NB = Suc 0 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_No_Attacker_Example.thyoffset=1435name=quickcheckelapsed=1.648 ### Compiling equations.... ### 0.066s elapsed time, 0.352s cpu time, 0.024s GC time ### Proving equations.... ### 0.036s elapsed time, 0.220s cpu time, 0.000s GC time ### Setting code equations.... ### 0.043s elapsed time, 0.260s cpu time, 0.000s GC time command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=1300name=byelapsed=0.360 ML_statistics = :now=1483663725.82tasks_ready=994tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1414size_allocation=411041792size_allocation_free=411041792size_heap=555745280size_heap_free_last_full_GC=7555688size_heap_free_last_GC=420597872threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=503.748time_GC=46.208user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ns_publicp_i ?x = sup (Predicate.bind (Predicate.single ?x) (\x. case x of [] \ Predicate.single () | a # list \ bot)) (sup (Predicate.bind (Predicate.single ?x) (\x. case x of [] \ bot | Says Spy A_ X_ # evs1_ \ Predicate.bind (ns_publicp_i evs1_) (\x. case x of () \ Predicate.bind (synth'_i_i (analz (knows Spy evs1_)) X_) (\x. case x of () \ Predicate.single ())) | Says _ A_ X_ # evs1_ \ bot | _ # evs1_ \ bot)) (sup (Predicate.bind (Predicate.single ?x) (\x. case x of [] \ bot | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, Agent Aa_\) # evs1_ \ if B_ = Ba_ \ A_ = Aa_ then Predicate.bind (Predicate.not_pred (Predicate.if_pred (Nonce NA_ \ used evs1_))) (\x. case x of () \ Predicate.bind (ns_publicp_i evs1_) (\x. case x of () \ Predicate.single ())) else bot | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, _\) # evs1_ \ bot | Says A_ B_ (Crypt (pubEK Ba_) \_, msg2\) # evs1_ \ bot | Says A_ B_ (Crypt (pubEK Ba_) _) # evs1_ \ bot | Says A_ B_ (Crypt (priEK agent) msga) # evs1_ \ bot | Says A_ B_ _ # evs1_ \ bot | _ # evs1_ \ bot)) (sup (Predicate.bind (Predicate.single ?x) (\x. case x of [] \ bot | Says B_ A_ (Crypt (pubEK Aa_) \Nonce NA_, Nonce NB_\) # evs2_ \ if A_ = Aa_ then Predicate.bind (Predicate.not_pred (Predicate.if_pred (Nonce NB_ \ used evs2_))) (\x. case x of () \ Predicate.bind (pred_of_set (set evs2_)) (\x. case x of Says A'_ Ba_ (Crypt (pubEK Bb_) \Nonce NAa_, Agent Ab_\) \ if NA_ = NAa_ \ A_ = Ab_ \ B_ = Bb_ \ B_ = Ba_ then Predicate.bind (ns_publicp_i evs2_) (\x. case x of () \ Predicate.single ()) else bot | Says A'_ Ba_ (Crypt (pubEK Bb_) \Nonce NAa_, _\) \ bot | Says A'_ Ba_ (Crypt (pubEK Bb_) \_, msg2\) \ bot | Says A'_ Ba_ (Crypt (pubEK Bb_) _) \ bot | Says A'_ Ba_ (Crypt (priEK agent) msga) \ bot | Says A'_ Ba_ _ \ bot | _ \ bot)) else bot | Says B_ A_ (Crypt (pubEK Aa_) \Nonce NA_, _\) # evs2_ \ bot | Says B_ A_ (Crypt (pubEK Aa_) \_, msg2\) # evs2_ \ bot | Says B_ A_ (Crypt (pubEK Aa_) _) # evs2_ \ bot | Says B_ A_ (Crypt (priEK agent) msga) # evs2_ \ bot | Says B_ A_ _ # evs2_ \ bot | _ # evs2_ \ bot)) (Predicate.bind (Predicate.single ?x) (\x. case x of [] \ bot | Says A_ B_ (Crypt (pubEK Ba_) (Nonce NB_)) # evs3_ \ if B_ = Ba_ then Predicate.bind (pred_of_set (set evs3_)) (\x. case x of Says Aa_ Bb_ (Crypt (pubEK Bc_) \Nonce NA_, Agent Ab_\) \ if B_ = Bc_ \ B_ = Bb_ \ A_ = Ab_ \ A_ = Aa_ then Predicate.bind (pred_of_set (set evs3_)) (\x. case x of Says B'_ Ac_ (Crypt (pubEK Ad_) \Nonce NAa_, Nonce NBa_\) \ if NB_ = NBa_ \ A_ = Ad_ \ A_ = Ac_ \ NA_ = NAa_ then Predicate.bind (ns_publicp_i evs3_) (\x. case x of () \ Predicate.single ()) else bot | Says B'_ Ac_ (Crypt (pubEK Ad_) \Nonce NAa_, _\) \ bot | Says B'_ Ac_ (Crypt (pubEK Ad_) \_, msg2\) \ bot | Says B'_ Ac_ (Crypt (pubEK Ad_) _) \ bot | Says B'_ Ac_ (Crypt (priEK agent) msga) \ bot | Says B'_ Ac_ _ \ bot | _ \ bot) else bot | Says Aa_ Bb_ (Crypt (pubEK Bc_) \Nonce NA_, _\) \ bot | Says Aa_ Bb_ (Crypt (pubEK Bc_) \_, msg2\) \ bot | Says Aa_ Bb_ (Crypt (pubEK Bc_) _) \ bot | Says Aa_ Bb_ (Crypt (priEK agent) msga) \ bot | Says Aa_ Bb_ _ \ bot | _ \ bot) else bot | Says A_ B_ (Crypt (pubEK Ba_) _) # evs3_ \ bot | Says A_ B_ (Crypt (priEK agent) msga) # evs3_ \ bot | Says A_ B_ _ # evs3_ \ bot | _ # evs3_ \ bot))))) ns_publicp ?x1.0 = Predicate.holds (ns_publicp_i ?x1.0) command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=1338name=thmelapsed=0.014 ML_statistics = :now=1483663726.32tasks_ready=979tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1418size_allocation=397410304size_allocation_free=204096340size_heap=552599552size_heap_free_last_full_GC=7555688size_heap_free_last_GC=405483396threads_in_ML=5threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=506.36time_GC=46.332user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 generator_cps_pos_ns_publicp_i ?x = Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.pos_bound_cps_single () | a # list \ Quickcheck_Exhaustive.pos_bound_cps_empty)) (Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Spy A_ X_ # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_bind (generator_cps_pos_ns_publicp_i evs1_) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind (generator_cps_pos_synth'_i_i (analz (knows Spy evs1_)) X_) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_single ())) | Says _ A_ X_ # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty)) (Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, Agent Aa_\) # evs1_ \ if B_ = Ba_ \ A_ = Aa_ then Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_not (Quickcheck_Exhaustive.neg_bound_cps_if (Nonce NA_ \ used evs1_))) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind (generator_cps_pos_ns_publicp_i evs1_) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_single ())) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, _\) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \_, msg2\) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) _) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (priEK agent) msga) # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ _ # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ # evs1_ \ Quickcheck_Exhaustive.pos_bound_cps_empty)) (Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) \Nonce NA_, Nonce NB_\) # evs2_ \ if A_ = Aa_ then Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_not (Quickcheck_Exhaustive.neg_bound_cps_if (Nonce NB_ \ used evs2_))) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (set evs2_)) (\x. case x of Says A'_ Ba_ (Crypt (pubEK Bb_) \Nonce NAa_, Agent Ab_\) \ if NA_ = NAa_ \ A_ = Ab_ \ B_ = Bb_ \ B_ = Ba_ then Quickcheck_Exhaustive.pos_bound_cps_bind (generator_cps_pos_ns_publicp_i evs2_) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_single ()) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ Ba_ (Crypt (pubEK Bb_) \Nonce NAa_, _\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ Ba_ (Crypt (pubEK Bb_) \_, msg2\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ Ba_ (Crypt (pubEK Bb_) _) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ Ba_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ Ba_ _ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty)) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) \Nonce NA_, _\) # evs2_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) \_, msg2\) # evs2_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) _) # evs2_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B_ A_ (Crypt (priEK agent) msga) # evs2_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B_ A_ _ # evs2_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ # evs2_ \ Quickcheck_Exhaustive.pos_bound_cps_empty)) (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) (Nonce NB_)) # evs3_ \ if B_ = Ba_ then Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (set evs3_)) (\x. case x of Says Aa_ Bb_ (Crypt (pubEK Bc_) \Nonce NA_, Agent Ab_\) \ if B_ = Bc_ \ B_ = Bb_ \ A_ = Ab_ \ A_ = Aa_ then Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (set evs3_)) (\x. case x of Says B'_ Ac_ (Crypt (pubEK Ad_) \Nonce NAa_, Nonce NBa_\) \ if NB_ = NBa_ \ A_ = Ad_ \ A_ = Ac_ \ NA_ = NAa_ then Quickcheck_Exhaustive.pos_bound_cps_bind (generator_cps_pos_ns_publicp_i evs3_) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_single ()) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ac_ (Crypt (pubEK Ad_) \Nonce NAa_, _\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ac_ (Crypt (pubEK Ad_) \_, msg2\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ac_ (Crypt (pubEK Ad_) _) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ac_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ac_ _ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says Aa_ Bb_ (Crypt (pubEK Bc_) \Nonce NA_, _\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Aa_ Bb_ (Crypt (pubEK Bc_) \_, msg2\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Aa_ Bb_ (Crypt (pubEK Bc_) _) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Aa_ Bb_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says Aa_ Bb_ _ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) _) # evs3_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (priEK agent) msga) # evs3_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ _ # evs3_ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ # evs3_ \ Quickcheck_Exhaustive.pos_bound_cps_empty))))) generator_cps_pos_ns_publicp_o = Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ()) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_single [])) (Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ()) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind generator_cps_pos_ns_publicp_o (\x. Quickcheck_Exhaustive.pos_bound_cps_bind (generator_cps_pos_synth'_i_o (analz (knows Spy x))) (\xa. Quickcheck_Exhaustive.pos_bound_cps_bind exhaustive_class.exhaustive (\xaa. Quickcheck_Exhaustive.pos_bound_cps_single (Says Spy xaa xa # x)))))) (Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ()) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind generator_cps_pos_ns_publicp_o (\x. Quickcheck_Exhaustive.pos_bound_cps_bind exhaustive_class.exhaustive (\xa. Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_not (Quickcheck_Exhaustive.neg_bound_cps_if (Nonce xa \ used x))) (\xaa. case xaa of () \ Quickcheck_Exhaustive.pos_bound_cps_bind exhaustive_class.exhaustive (\xaa. Quickcheck_Exhaustive.pos_bound_cps_bind exhaustive_class.exhaustive (\xaaa. Quickcheck_Exhaustive.pos_bound_cps_single (Says xaaa xaa (Crypt (pubEK xaa) \Nonce xa, Agent xaaa\) # x)))))))) (Quickcheck_Exhaustive.pos_bound_cps_plus (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ()) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind generator_cps_pos_ns_publicp_o (\x. Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (set x)) (\xa. case xa of Says A'_ B_ (Crypt (pubEK Ba_) \Nonce NA_, Agent A_\) \ if B_ = Ba_ then Quickcheck_Exhaustive.pos_bound_cps_bind exhaustive_class.exhaustive (\xa. Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_not (Quickcheck_Exhaustive.neg_bound_cps_if (Nonce xa \ used x))) (\xaa. case xaa of () \ Quickcheck_Exhaustive.pos_bound_cps_single (Says B_ A_ (Crypt (pubEK A_) \Nonce NA_, Nonce xa\) # x))) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ B_ (Crypt (pubEK Ba_) \Nonce NA_, _\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ B_ (Crypt (pubEK Ba_) \_, msg2\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ B_ (Crypt (pubEK Ba_) _) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ B_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A'_ B_ _ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty)))) (Quickcheck_Exhaustive.pos_bound_cps_bind (Quickcheck_Exhaustive.pos_bound_cps_single ()) (\x. case x of () \ Quickcheck_Exhaustive.pos_bound_cps_bind generator_cps_pos_ns_publicp_o (\x. Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (set x)) (\xa. case xa of Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, Agent Aa_\) \ if B_ = Ba_ \ A_ = Aa_ then Quickcheck_Exhaustive.pos_bound_cps_bind (pos_cps_of_set (set x)) (\xa. case xa of Says B'_ Ab_ (Crypt (pubEK Ac_) \Nonce NAa_, Nonce NB_\) \ if A_ = Ac_ \ A_ = Ab_ \ NA_ = NAa_ then Quickcheck_Exhaustive.pos_bound_cps_single (Says A_ B_ (Crypt (pubEK B_) (Nonce NB_)) # x) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ab_ (Crypt (pubEK Ac_) \Nonce NAa_, _\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ab_ (Crypt (pubEK Ac_) \_, msg2\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ab_ (Crypt (pubEK Ac_) _) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ab_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says B'_ Ab_ _ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty) else Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, _\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \_, msg2\) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) _) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.pos_bound_cps_empty | Says A_ B_ _ \ Quickcheck_Exhaustive.pos_bound_cps_empty | _ \ Quickcheck_Exhaustive.pos_bound_cps_empty))))))) generator_cps_neg_ns_publicp_i ?x = Quickcheck_Exhaustive.neg_bound_cps_plus (Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.neg_bound_cps_single () | a # list \ Quickcheck_Exhaustive.neg_bound_cps_empty)) (Quickcheck_Exhaustive.neg_bound_cps_plus (Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Spy A_ X_ # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_bind (generator_cps_neg_ns_publicp_i evs1_) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_bind (generator_cps_neg_synth'_i_i (analz (knows Spy evs1_)) X_) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_single ())) | Says _ A_ X_ # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty)) (Quickcheck_Exhaustive.neg_bound_cps_plus (Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, Agent Aa_\) # evs1_ \ if B_ = Ba_ \ A_ = Aa_ then Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_not (Quickcheck_Exhaustive.pos_bound_cps_if (Nonce NA_ \ used evs1_))) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_bind (generator_cps_neg_ns_publicp_i evs1_) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_single ())) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \Nonce NA_, _\) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) \_, msg2\) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) _) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (priEK agent) msga) # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ _ # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ # evs1_ \ Quickcheck_Exhaustive.neg_bound_cps_empty)) (Quickcheck_Exhaustive.neg_bound_cps_plus (Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) \Nonce NA_, Nonce NB_\) # evs2_ \ if A_ = Aa_ then Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_not (Quickcheck_Exhaustive.pos_bound_cps_if (Nonce NB_ \ used evs2_))) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_bind (neg_cps_of_set (set evs2_)) (\x. case x of Says A'_ Ba_ (Crypt (pubEK Bb_) \Nonce NAa_, Agent Ab_\) \ if NA_ = NAa_ \ A_ = Ab_ \ B_ = Bb_ \ B_ = Ba_ then Quickcheck_Exhaustive.neg_bound_cps_bind (generator_cps_neg_ns_publicp_i evs2_) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_single ()) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says A'_ Ba_ (Crypt (pubEK Bb_) \Nonce NAa_, _\) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A'_ Ba_ (Crypt (pubEK Bb_) \_, msg2\) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A'_ Ba_ (Crypt (pubEK Bb_) _) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A'_ Ba_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A'_ Ba_ _ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ \ Quickcheck_Exhaustive.neg_bound_cps_empty)) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) \Nonce NA_, _\) # evs2_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) \_, msg2\) # evs2_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B_ A_ (Crypt (pubEK Aa_) _) # evs2_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B_ A_ (Crypt (priEK agent) msga) # evs2_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B_ A_ _ # evs2_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ # evs2_ \ Quickcheck_Exhaustive.neg_bound_cps_empty)) (Quickcheck_Exhaustive.neg_bound_cps_bind (Quickcheck_Exhaustive.neg_bound_cps_single ?x) (\x. case x of [] \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) (Nonce NB_)) # evs3_ \ if B_ = Ba_ then Quickcheck_Exhaustive.neg_bound_cps_bind (neg_cps_of_set (set evs3_)) (\x. case x of Says Aa_ Bb_ (Crypt (pubEK Bc_) \Nonce NA_, Agent Ab_\) \ if B_ = Bc_ \ B_ = Bb_ \ A_ = Ab_ \ A_ = Aa_ then Quickcheck_Exhaustive.neg_bound_cps_bind (neg_cps_of_set (set evs3_)) (\x. case x of Says B'_ Ac_ (Crypt (pubEK Ad_) \Nonce NAa_, Nonce NBa_\) \ if NB_ = NBa_ \ A_ = Ad_ \ A_ = Ac_ \ NA_ = NAa_ then Quickcheck_Exhaustive.neg_bound_cps_bind (generator_cps_neg_ns_publicp_i evs3_) (\x. case x of () \ Quickcheck_Exhaustive.neg_bound_cps_single ()) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says B'_ Ac_ (Crypt (pubEK Ad_) \Nonce NAa_, _\) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B'_ Ac_ (Crypt (pubEK Ad_) \_, msg2\) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B'_ Ac_ (Crypt (pubEK Ad_) _) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B'_ Ac_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says B'_ Ac_ _ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ \ Quickcheck_Exhaustive.neg_bound_cps_empty) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says Aa_ Bb_ (Crypt (pubEK Bc_) \Nonce NA_, _\) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Aa_ Bb_ (Crypt (pubEK Bc_) \_, msg2\) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Aa_ Bb_ (Crypt (pubEK Bc_) _) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Aa_ Bb_ (Crypt (priEK agent) msga) \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says Aa_ Bb_ _ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ \ Quickcheck_Exhaustive.neg_bound_cps_empty) else Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (pubEK Ba_) _) # evs3_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ (Crypt (priEK agent) msga) # evs3_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | Says A_ B_ _ # evs3_ \ Quickcheck_Exhaustive.neg_bound_cps_empty | _ # evs3_ \ Quickcheck_Exhaustive.neg_bound_cps_empty))))) command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=1402name=thmelapsed=0.695 ### preprocess-obtain graph ### 0.003s elapsed time, 0.012s cpu time, 0.000s GC time ### preprocess-process ### 0.004s elapsed time, 0.020s cpu time, 0.000s GC time ### Infering modes ### 0.004s elapsed time, 0.016s cpu time, 0.000s GC time ### Compiling equations.... ### 0.003s elapsed time, 0.012s cpu time, 0.000s GC time ### Proving equations.... ### 0.001s elapsed time, 0.008s cpu time, 0.000s GC time ### Setting code equations.... ### 0.002s elapsed time, 0.008s cpu time, 0.000s GC time Depth: 0 Depth 0: 0 ms Depth: 1 Depth 1: 0 ms Depth: 2 Depth 2: 0 ms Depth: 3 Depth 3: 4 ms Depth: 4 Depth 4: 232 ms Depth: 5 ### Infering modes ### 0.072s elapsed time, 0.332s cpu time, 0.024s GC time ### Compiling equations.... ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### Proving equations.... ### 0.002s elapsed time, 0.008s cpu time, 0.000s GC time ### Setting code equations.... ### 0.003s elapsed time, 0.012s cpu time, 0.000s GC time ML_statistics = :now=1483663726.83tasks_ready=972tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1423size_allocation=381681664size_allocation_free=381681664size_heap=557842432size_heap_free_last_full_GC=7555688size_heap_free_last_GC=389609424threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=508.492time_GC=46.44user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 [1 of 4] Compiling Typerep ( /tmp/isabelle-jenkins/process5279336623530690068/Quickcheck_Narrowing2898694/Typerep.hs, /tmp/isabelle-jenkins/process5279336623530690068/Quickcheck_Narrowing2898694/Typerep.o ) [2 of 4] Compiling Generated_Code ( /tmp/isabelle-jenkins/process5279336623530690068/Quickcheck_Narrowing2898694/Generated_Code.hs, /tmp/isabelle-jenkins/process5279336623530690068/Quickcheck_Narrowing2898694/Generated_Code.o ) [3 of 4] Compiling Narrowing_Engine ( /tmp/isabelle-jenkins/process5279336623530690068/Quickcheck_Narrowing2898694/Narrowing_Engine.hs, /tmp/isabelle-jenkins/process5279336623530690068/Quickcheck_Narrowing2898694/Narrowing_Engine.o ) [4 of 4] Compiling Main ( /tmp/isabelle-jenkins/process5279336623530690068/Quickcheck_Narrowing2898694/Main.hs, /tmp/isabelle-jenkins/process5279336623530690068/Quickcheck_Narrowing2898694/Main.o ) Linking /tmp/isabelle-jenkins/process5279336623530690068/Quickcheck_Narrowing2898694/isabelle_quickcheck_narrowing ... ML_statistics = :now=1483663727.33tasks_ready=970tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1429size_allocation=370147328size_allocation_free=260275756size_heap=555745280size_heap_free_last_full_GC=7555688size_heap_free_last_GC=378416264threads_in_ML=5threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=510.836time_GC=46.584user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 [Quickcheck-narrowing] Test data size: 0 [Quickcheck-narrowing] Test data size: 1 [Quickcheck-narrowing] Test data size: 2 [Quickcheck-narrowing] Test data size: 3 [Quickcheck-narrowing] Test data size: 4 [Quickcheck-narrowing] Test data size: 5 Depth: 0 Depth 0: 0 ms Depth: 1 Depth 1: 0 ms Depth: 2 Depth 2: 0 ms Depth: 3 Depth 3: 0 ms Depth: 4 Depth 4: 52 ms Depth: 5 ML_statistics = :now=1483663727.85tasks_ready=968tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1436size_allocation=346030080size_allocation_free=346030080size_heap=556793856size_heap_free_last_full_GC=7555688size_heap_free_last_GC=354416448threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=513.1time_GC=46.788user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663728.36tasks_ready=953tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1442size_allocation=333447168size_allocation_free=333447168size_heap=556793856size_heap_free_last_full_GC=7555688size_heap_free_last_GC=341124604threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=515.064time_GC=46.928user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663728.88tasks_ready=946tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1450size_allocation=326107136size_allocation_free=326107136size_heap=555745280size_heap_free_last_full_GC=7555688size_heap_free_last_GC=334490892threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=517.46time_GC=47.056user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Depth 5: 10972 ms Depth: 6 ML_statistics = :now=1483663729.39tasks_ready=944tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1457size_allocation=317718528size_allocation_free=317718528size_heap=556793856size_heap_free_last_full_GC=7555688size_heap_free_last_GC=326542836threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=519.56time_GC=47.172user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 [Quickcheck-narrowing] Test data size: 6 ML_statistics = :now=1483663729.9tasks_ready=940tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1464size_allocation=308281344size_allocation_free=308281344size_heap=556793856size_heap_free_last_full_GC=7555688size_heap_free_last_GC=316387104threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=521.612time_GC=47.312user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663730.41tasks_ready=937tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1471size_allocation=297795584size_allocation_free=297795584size_heap=555745280size_heap_free_last_full_GC=7555688size_heap_free_last_GC=305715944threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=523.6time_GC=47.484user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663730.92tasks_ready=937tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1479size_allocation=287309824size_allocation_free=287309824size_heap=556793856size_heap_free_last_full_GC=7555688size_heap_free_last_GC=294312996threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=525.852time_GC=47.632user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663731.5tasks_ready=935tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1489size_allocation=250609664size_allocation_free=250609664size_heap=552599552size_heap_free_last_full_GC=7555688size_heap_free_last_GC=257320720threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=528.164time_GC=47.952user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663732.03tasks_ready=931tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1499size_allocation=226492416size_allocation_free=226492416size_heap=557842432size_heap_free_last_full_GC=7555688size_heap_free_last_GC=233617924threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=530.228time_GC=48.172user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663732.53tasks_ready=929tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1509size_allocation=211812352size_allocation_free=211812352size_heap=554696704size_heap_free_last_full_GC=7555688size_heap_free_last_GC=219449996threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=532.116time_GC=48.38user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663733.05tasks_ready=929tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1520size_allocation=195035136size_allocation_free=195035136size_heap=556793856size_heap_free_last_full_GC=7555688size_heap_free_last_GC=201967308threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=534.088time_GC=48.588user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663733.57tasks_ready=928tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1533size_allocation=184549376size_allocation_free=184549376size_heap=555745280size_heap_free_last_full_GC=7555688size_heap_free_last_GC=191547504threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=536.088time_GC=48.824user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663734.08tasks_ready=925tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1549size_allocation=173015040size_allocation_free=173015040size_heap=557842432size_heap_free_last_full_GC=7555688size_heap_free_last_GC=180769248threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=537.848time_GC=49.068user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663734.6tasks_ready=920tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1566size_allocation=164626432size_allocation_free=164626432size_heap=557842432size_heap_free_last_full_GC=7555688size_heap_free_last_GC=171716604threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=539.648time_GC=49.328user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663735.13tasks_ready=912tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1584size_allocation=154140672size_allocation_free=154140672size_heap=557842432size_heap_free_last_full_GC=7555688size_heap_free_last_GC=160124568threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=541.436time_GC=49.608user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663735.7tasks_ready=909tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1604size_allocation=140509184size_allocation_free=140509184size_heap=557842432size_heap_free_last_full_GC=7555688size_heap_free_last_GC=150085572threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=543.324time_GC=49.92user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663736.26tasks_ready=909tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1624size_allocation=126877696size_allocation_free=126877696size_heap=557842432size_heap_free_last_full_GC=7555688size_heap_free_last_GC=134838392threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=545.004time_GC=50.276user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663736.78tasks_ready=907tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1644size_allocation=118489088size_allocation_free=118489088size_heap=557842432size_heap_free_last_full_GC=7555688size_heap_free_last_GC=125057988threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=546.532time_GC=50.608user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663737.29tasks_ready=904tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1665size_allocation=105906176size_allocation_free=105906176size_heap=556793856size_heap_free_last_full_GC=7555688size_heap_free_last_GC=112764964threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=547.972time_GC=50.98user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663737.97tasks_ready=901tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1678size_allocation=478150656size_allocation_free=478150656size_heap=575668224size_heap_free_last_full_GC=7813288size_heap_free_last_GC=487008580threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=549.464time_GC=52.028user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663738.47tasks_ready=900tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1686size_allocation=470810624size_allocation_free=470810624size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=478469928threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=551.736time_GC=52.152user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663738.97tasks_ready=899tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1693size_allocation=466616320size_allocation_free=466616320size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=472292276threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=553.712time_GC=52.244user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Found 0 theorems with (potentially) superfluous assumptions: Checked 192 theorems with assumptions (496 total) in the theory "Set" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Find_Unused_Assms_Examples.thyoffset=318name=find_unused_assmselapsed=110.731 ### preprocess-obtain graph ### 0.003s elapsed time, 0.016s cpu time, 0.000s GC time ### preprocess-process ### 0.006s elapsed time, 0.032s cpu time, 0.000s GC time ### Infering modes ### 0.004s elapsed time, 0.016s cpu time, 0.000s GC time ### Defining executable functions... ### 0.000s elapsed time, 0.004s cpu time, 0.000s GC time ### Compiling equations.... ### 0.003s elapsed time, 0.012s cpu time, 0.000s GC time ### Proving equations.... ### 0.001s elapsed time, 0.008s cpu time, 0.000s GC time ### Setting code equations.... ### 0.001s elapsed time, 0.008s cpu time, 0.000s GC time ### Proving equations.... ### 0.001s elapsed time, 0.004s cpu time, 0.000s GC time ### Setting code equations.... ### 0.001s elapsed time, 0.004s cpu time, 0.000s GC time ML_statistics = :now=1483663739.47tasks_ready=893tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1701size_allocation=461373440size_allocation_free=461373440size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=469263236threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=555.996time_GC=52.332user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663739.98tasks_ready=893tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1709size_allocation=456130560size_allocation_free=456130560size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=463348184threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=558.192time_GC=52.452user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Infering modes ### 1.064s elapsed time, 4.776s cpu time, 0.212s GC time ### Defining executable functions... ### 0.002s elapsed time, 0.012s cpu time, 0.000s GC time ### Compiling equations.... ### 0.069s elapsed time, 0.312s cpu time, 0.040s GC time ### Proving equations.... ### 0.054s elapsed time, 0.228s cpu time, 0.024s GC time ### Setting code equations.... ### 0.056s elapsed time, 0.244s cpu time, 0.032s GC time ML_statistics = :now=1483663740.49tasks_ready=890tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1717size_allocation=437256192size_allocation_free=437256192size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=445777420threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=560.336time_GC=52.624user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663741tasks_ready=886tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1725size_allocation=429916160size_allocation_free=429916160size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=438953004threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=562.432time_GC=52.74user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Depth: 0 Depth 0: 0 ms Depth: 1 Depth 1: 0 ms Depth: 2 Depth 2: 0 ms Depth: 3 Depth 3: 4 ms Depth: 4 ML_statistics = :now=1483663741.52tasks_ready=886tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1734size_allocation=412090368size_allocation_free=412090368size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=419374472threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=564.58time_GC=52.92user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Depth 4: 1992 ms Depth: 5 ML_statistics = :now=1483663742.02tasks_ready=886tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1744size_allocation=401604608size_allocation_free=401604608size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=408651860threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=566.532time_GC=53.088user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663742.53tasks_ready=886tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1755size_allocation=396361728size_allocation_free=396361728size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=403612696threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=568.516time_GC=53.216user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663743.04tasks_ready=886tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1767size_allocation=381681664size_allocation_free=381681664size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=389548072threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=570.572time_GC=53.416user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663743.55tasks_ready=879tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1778size_allocation=373293056size_allocation_free=373293056size_heap=575668224size_heap_free_last_full_GC=7813288size_heap_free_last_GC=382443164threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=572.436time_GC=53.584user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663744.07tasks_ready=878tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1791size_allocation=363855872size_allocation_free=363855872size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=372078996threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=574.58time_GC=53.76user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663744.58tasks_ready=875tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1803size_allocation=359661568size_allocation_free=359661568size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=367558316threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=576.5time_GC=53.896user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663745.09tasks_ready=863tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1816size_allocation=355467264size_allocation_free=355467264size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=363125668threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=578.568time_GC=54.056user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663745.6tasks_ready=858tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1828size_allocation=352321536size_allocation_free=352321536size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=361025568threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=580.488time_GC=54.2user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663746.11tasks_ready=855tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1841size_allocation=344981504size_allocation_free=344981504size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=353621628threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=582.504time_GC=54.376user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663746.63tasks_ready=850tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1854size_allocation=341835776size_allocation_free=341835776size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=349041468threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=584.508time_GC=54.54user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Depth 5: 81380 ms Quickcheck found a counterexample: evs = [Says Alice Bob (Crypt (pubEK Bob) (Nonce (Suc 0))), Says Bob Alice (Crypt (pubEK Alice) \Nonce 0, Nonce (Suc 0)\), Says Alice Bob (Crypt (pubEK Bob) \Nonce 0, Agent Alice\)] NB = Suc 0 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=1529name=quickcheckelapsed=20.497 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=3452name=showelapsed=0.010 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=3577name=applyelapsed=0.016 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=3027name=showelapsed=0.011 ML_statistics = :now=1483663747.14tasks_ready=855tasks_pending=1tasks_running=11tasks_passive=3tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1866size_allocation=336592896size_allocation_free=336592896size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=343549348threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=586.496time_GC=54.7user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=3154name=byelapsed=0.260 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=2917name=byelapsed=0.100 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=2754name=byelapsed=0.045 ML_statistics = :now=1483663747.64tasks_ready=844tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1876size_allocation=333447168size_allocation_free=333447168size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=341382644threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=588.424time_GC=54.812user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663748.15tasks_ready=836tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1887size_allocation=328204288size_allocation_free=328204288size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=335466848threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=590.5time_GC=54.968user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663748.65tasks_ready=836tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1897size_allocation=319815680size_allocation_free=319815680size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=326953156threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=592.328time_GC=55.136user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663749.16tasks_ready=831tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1909size_allocation=313524224size_allocation_free=313524224size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=321382844threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=594.492time_GC=55.32user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1483663750.69tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1943size_allocation=294649856size_allocation_free=294649856size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=301250648threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=600.308time_GC=55.836user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663751.2tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1955size_allocation=282066944size_allocation_free=282066944size_heap=575668224size_heap_free_last_full_GC=7813288size_heap_free_last_GC=289512056threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=602.236time_GC=56.064user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663751.72tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1968size_allocation=270532608size_allocation_free=270532608size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=278656428threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=604.272time_GC=56.304user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1483663752.74tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1995size_allocation=268435456size_allocation_free=268435456size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=274855392threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=608.068time_GC=56.656user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663753.26tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2009size_allocation=267386880size_allocation_free=267386880size_heap=577765376size_heap_free_last_full_GC=7813288size_heap_free_last_GC=274360456threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=610.008time_GC=56.836user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663753.78tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2023size_allocation=267386880size_allocation_free=267386880size_heap=577765376size_heap_free_last_full_GC=7813288size_heap_free_last_GC=274217392threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=611.952time_GC=57.004user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663754.31tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2038size_allocation=267386880size_allocation_free=267386880size_heap=577765376size_heap_free_last_full_GC=7813288size_heap_free_last_GC=273225764threads_in_ML=3threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=613.996time_GC=57.192user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Quickcheck ran out of time Quickcheck found no counterexample. command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_No_Attacker_Example.thyoffset=1704name=quickcheckelapsed=30.001 ML_statistics = :now=1483663754.83tasks_ready=817tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2050size_allocation=260046848size_allocation_free=181433420size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=267011980threads_in_ML=5threads_total=16threads_wait_condvar=8threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=615.948time_GC=57.4user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Quickcheck ran out of time Quickcheck found no counterexample. command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_No_Attacker_Example.thyoffset=1758name=quickcheckelapsed=30.124 ML_statistics = :now=1483663755.35tasks_ready=814tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2063size_allocation=242221056size_allocation_free=242221056size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=249326864threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=618.092time_GC=57.668user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663755.88tasks_ready=800tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2078size_allocation=229638144size_allocation_free=229638144size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=237615940threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=620.464time_GC=57.952user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483663756.42tasks_ready=789tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2093size_allocation=217055232size_allocation_free=217055232size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=224496692threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=622.76time_GC=58.24user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1483663757.95tasks_ready=770tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2140size_allocation=174063616size_allocation_free=174063616size_heap=576716800size_heap_free_last_full_GC=7813288size_heap_free_last_GC=181682176threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=628.992time_GC=59.152user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1483663824.25tasks_ready=0tasks_pending=1tasks_running=3tasks_passive=0tasks_urgent=0workers_total=12workers_active=2workers_waiting=0full_GCs=10partial_GCs=2664size_allocation=1528823808size_allocation_free=1528823808size_heap=3053453312size_heap_free_last_full_GC=7705436size_heap_free_last_GC=1535917712threads_in_ML=1threads_total=16threads_wait_condvar=12threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=822.832time_GC=100.7user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Found 4 theorems with (potentially) superfluous assumptions: Map.map_of_zip_upd: unnecessary assumption(s) 1 and 2 Map.finite_map_freshness: unnecessary assumption(s) 1 Map.fun_upd_restrict_conv: unnecessary assumption(s) 1 Map.finite_set_of_finite_maps: unnecessary assumption(s) 1 and 2 Checked 61 theorems with assumptions (130 total) in the theory "Map" command_timing = 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