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=0.109 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Find_Unused_Assms_Examples.thyoffset=1name=theoryelapsed=0.162 ### theory "Find_Unused_Assms_Examples" ### 0.167s elapsed time, 0.428s cpu time, 0.000s GC time command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=2522name=setupelapsed=0.027 Proofs for inductive predicate(s) "less_nat" Proving monotonicity ... command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=5997name=inductiveelapsed=0.016 Proofs for inductive predicate(s) "less_eq_nat" Proving monotonicity ... command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=6363name=inductiveelapsed=0.015 ML_statistics = :now=1481935704.79tasks_ready=1044tasks_pending=5tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=0size_allocation=230686720size_allocation_free=230549508size_heap=230686720size_heap_free_last_full_GC=0size_heap_free_last_GC=0threads_in_ML=0threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=0.008time_GC=0user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=7322name=code_predelapsed=0.064 ### 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=0.028 ### theory "Predicate_Compile_Alternative_Defs" ### 0.350s elapsed time, 1.528s cpu time, 0.000s GC time Loading theory "Predicate_Compile_Quickcheck" (required by "Needham_Schroeder_No_Attacker_Example" via "Needham_Schroeder_Base") loading_theory = Predicate_Compile_Quickcheck command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Quickcheck.thyoffset=178name=theoryelapsed=0.072 ### 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=0.158 ### theory "Predicate_Compile_Quickcheck" ### 0.233s elapsed time, 1.348s cpu time, 0.036s 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=0.063 ML_statistics = :now=1481935705.29tasks_ready=1048tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=2size_allocation=1031798784size_allocation_free=1031798784size_heap=1038090240size_heap_free_last_full_GC=0size_heap_free_last_GC=1042044052threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=5.184time_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=0.433 ML_statistics = :now=1481935705.79tasks_ready=1041tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=4size_allocation=1003487232size_allocation_free=1003487232size_heap=1042284544size_heap_free_last_full_GC=0size_heap_free_last_GC=1013357860threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=8.224time_GC=0.204user_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=0.427 Found termination order: "{}" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=303name=funelapsed=0.038 ML_statistics = :now=1481935706.31tasks_ready=1032tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=5size_allocation=1002438656size_allocation_free=1002438656size_heap=1038090240size_heap_free_last_full_GC=0size_heap_free_last_GC=1010351764threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=9.756time_GC=0.268user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935706.81tasks_ready=1022tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=7size_allocation=980418560size_allocation_free=980418560size_heap=1040187392size_heap_free_last_full_GC=0size_heap_free_last_GC=990932272threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=12.836time_GC=0.38user_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=0.824 Proofs for inductive predicate(s) "partsp" Proving monotonicity ... command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=669name=inductive_setelapsed=0.078 Proofs for inductive predicate(s) "analzp" Proving monotonicity ... command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=961name=inductive_setelapsed=0.081 Proofs for inductive predicate(s) "synthp" Proving monotonicity ... command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=1281name=inductive_setelapsed=0.090 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=1598name=primrecelapsed=0.011 ML_statistics = :now=1481935707.31tasks_ready=1019tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=9size_allocation=967835648size_allocation_free=967835648size_heap=1040187392size_heap_free_last_full_GC=0size_heap_free_last_GC=976402952threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=15.664time_GC=0.48user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935707.83tasks_ready=1013tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=11size_allocation=956301312size_allocation_free=956301312size_heap=1038090240size_heap_free_last_full_GC=0size_heap_free_last_GC=965270216threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=18.568time_GC=0.58user_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=0.646 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=1992name=primrecelapsed=0.034 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=2772name=primrecelapsed=0.011 Found termination order: "(\p. length (snd p)) <*mlex*> {}" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=3152name=funelapsed=0.072 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=6236name=code_predelapsed=0.020 ### theory "Needham_Schroeder_Base" ### 2.887s elapsed time, 16.764s cpu time, 0.588s 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=0.060 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=0.177 ### Infering modes ### 0.035s elapsed time, 0.212s cpu time, 0.000s GC time ### Defining executable functions... ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### Compiling equations.... ### 0.014s elapsed time, 0.080s 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=0.065 ML_statistics = :now=1481935708.33tasks_ready=1016tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=13size_allocation=938475520size_allocation_free=938475520size_heap=1041235968size_heap_free_last_full_GC=0size_heap_free_last_GC=947275792threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=21.284time_GC=0.672user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Infering modes ### 0.103s elapsed time, 0.568s cpu time, 0.064s GC time ### Defining executable functions... ### 0.000s elapsed time, 0.004s cpu time, 0.000s GC time ### Compiling equations.... ### 0.031s elapsed time, 0.184s cpu time, 0.000s GC time ### Proving equations.... ### 0.009s elapsed time, 0.052s cpu time, 0.000s GC time ### Setting code equations.... ### 0.010s elapsed time, 0.060s cpu time, 0.000s GC time command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=1612name=code_predelapsed=0.153 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=2360name=lemmaelapsed=0.010 ### theory "Needham_Schroeder_Guided_Attacker_Example" ### 0.481s elapsed time, 2.796s cpu time, 0.112s 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=0.060 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=0.126 ### Infering modes ### 0.026s elapsed time, 0.160s cpu time, 0.000s GC time ### Defining executable functions... ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### Compiling equations.... ### 0.009s elapsed time, 0.052s 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=0.043 ### Infering modes ### 0.065s elapsed time, 0.388s cpu time, 0.000s GC time ### Defining executable functions... ### 0.000s elapsed time, 0.004s cpu time, 0.000s GC time ### Compiling equations.... ### 0.021s elapsed time, 0.124s cpu time, 0.000s GC time ### Proving equations.... ### 0.006s elapsed time, 0.036s cpu time, 0.000s GC time ML_statistics = :now=1481935708.83tasks_ready=1010tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=15size_allocation=918552576size_allocation_free=918552576size_heap=1041235968size_heap_free_last_full_GC=0size_heap_free_last_GC=926326312threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=24.06time_GC=0.78user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Setting code equations.... ### 0.007s 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=0.100 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_No_Attacker_Example.thyoffset=1152name=lemmaelapsed=0.019 ### theory "Needham_Schroeder_No_Attacker_Example" ### 0.365s elapsed time, 2.096s cpu time, 0.100s GC time Loading theory "Needham_Schroeder_Unguided_Attacker_Example" loading_theory = Needham_Schroeder_Unguided_Attacker_Example command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=1name=theoryelapsed=0.060 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=0.130 ### Infering modes ### 0.003s elapsed time, 0.020s 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 ### Infering modes ### 0.042s elapsed time, 0.204s cpu time, 0.044s GC time ### Defining executable functions... ### 0.003s elapsed time, 0.024s cpu time, 0.000s GC time ### Compiling equations.... ### 0.010s elapsed time, 0.060s cpu time, 0.000s GC time ### Proving equations.... ### 0.002s elapsed time, 0.008s 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=0.074 ### Infering modes ### 0.074s elapsed time, 0.444s cpu time, 0.000s GC time ### Compiling equations.... ### 0.025s elapsed time, 0.148s cpu time, 0.000s GC time ### Proving equations.... ### 0.008s elapsed time, 0.044s cpu time, 0.000s GC time ### Setting code equations.... ### 0.009s elapsed time, 0.056s cpu time, 0.000s GC time command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=1363name=code_predelapsed=0.117 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=2114name=lemmaelapsed=0.010 ### theory "Needham_Schroeder_Unguided_Attacker_Example" ### 0.405s elapsed time, 2.388s cpu time, 0.044s GC time ML_statistics = :now=1481935709.33tasks_ready=1497tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=17size_allocation=902823936size_allocation_free=902823936size_heap=1042284544size_heap_free_last_full_GC=0size_heap_free_last_GC=910645436threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=26.856time_GC=0.88user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935709.83tasks_ready=1493tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=20size_allocation=887095296size_allocation_free=887095296size_heap=1042284544size_heap_free_last_full_GC=0size_heap_free_last_GC=896193628threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=30.924time_GC=1.02user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935710.34tasks_ready=1450tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=22size_allocation=870318080size_allocation_free=870318080size_heap=1042284544size_heap_free_last_full_GC=0size_heap_free_last_GC=878419548threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=33.392time_GC=1.108user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935710.84tasks_ready=1443tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=24size_allocation=864026624size_allocation_free=864026624size_heap=1039138816size_heap_free_last_full_GC=0size_heap_free_last_GC=873031012threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=35.888time_GC=1.2user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935711.34tasks_ready=1423tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=26size_allocation=843055104size_allocation_free=843055104size_heap=1042284544size_heap_free_last_full_GC=0size_heap_free_last_GC=851718892threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=38.368time_GC=1.296user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935711.86tasks_ready=1414tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=29size_allocation=837812224size_allocation_free=837812224size_heap=1040187392size_heap_free_last_full_GC=0size_heap_free_last_GC=846328724threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=41.672time_GC=1.404user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1481935769.85tasks_ready=1545tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=2partial_GCs=818size_allocation=396361728size_allocation_free=396361728size_heap=640679936size_heap_free_last_full_GC=9786008size_heap_free_last_GC=402036052threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=328.992time_GC=26.816user_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=65.543 ML_statistics = :now=1481935770.38tasks_ready=1655tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=2partial_GCs=823size_allocation=365953024size_allocation_free=365953024size_heap=646971392size_heap_free_last_full_GC=9786008size_heap_free_last_GC=372030932threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=331.748time_GC=27.008user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1481935797.92tasks_ready=1185tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1292size_allocation=370147328size_allocation_free=370147328size_heap=595591168size_heap_free_last_full_GC=5398976size_heap_free_last_GC=378857360threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=460.932time_GC=41.384user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935798.42tasks_ready=1177tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1297size_allocation=353370112size_allocation_free=353370112size_heap=596639744size_heap_free_last_full_GC=5398976size_heap_free_last_GC=361595344threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=463.572time_GC=41.52user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935798.93tasks_ready=1153tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1302size_allocation=341835776size_allocation_free=341835776size_heap=595591168size_heap_free_last_full_GC=5398976size_heap_free_last_GC=349284880threads_in_ML=1threads_total=16threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=466.012time_GC=41.648user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935799.45tasks_ready=1135tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1308size_allocation=324009984size_allocation_free=324009984size_heap=595591168size_heap_free_last_full_GC=5398976size_heap_free_last_GC=331907628threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=468.748time_GC=41.824user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935799.95tasks_ready=1132tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1314size_allocation=295698432size_allocation_free=295698432size_heap=597688320size_heap_free_last_full_GC=5398976size_heap_free_last_GC=302990552threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=471.52time_GC=42.028user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935800.46tasks_ready=1119tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1320size_allocation=283115520size_allocation_free=283115520size_heap=598736896size_heap_free_last_full_GC=5398976size_heap_free_last_GC=290775096threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=473.928time_GC=42.18user_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 99 theorems with assumptions (302 total) in the theory "Relation" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Find_Unused_Assms_Examples.thyoffset=291name=find_unused_assmselapsed=96.110 ML_statistics = :now=1481935800.98tasks_ready=1104tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1327size_allocation=264241152size_allocation_free=264241152size_heap=597688320size_heap_free_last_full_GC=5398976size_heap_free_last_GC=272402396threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=476.7time_GC=42.396user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935801.51tasks_ready=1089tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1334size_allocation=242221056size_allocation_free=242221056size_heap=596639744size_heap_free_last_full_GC=5398976size_heap_free_last_GC=248873484threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=479.268time_GC=42.6user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935802.01tasks_ready=1083tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1342size_allocation=212860928size_allocation_free=212860928size_heap=597688320size_heap_free_last_full_GC=5398976size_heap_free_last_GC=220095520threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=481.876time_GC=42.864user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935802.53tasks_ready=1063tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1350size_allocation=199229440size_allocation_free=199229440size_heap=598736896size_heap_free_last_full_GC=5398976size_heap_free_last_GC=205934388threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=484.412time_GC=43.052user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935803.06tasks_ready=1060tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1359size_allocation=176160768size_allocation_free=176160768size_heap=598736896size_heap_free_last_full_GC=5398976size_heap_free_last_GC=183447228threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=486.896time_GC=43.324user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935803.58tasks_ready=1050tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1369size_allocation=152043520size_allocation_free=152043520size_heap=597688320size_heap_free_last_full_GC=5398976size_heap_free_last_GC=160405296threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=489.224time_GC=43.58user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935804.08tasks_ready=1045tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1381size_allocation=122683392size_allocation_free=122683392size_heap=597688320size_heap_free_last_full_GC=5398976size_heap_free_last_GC=129911668threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=491.42time_GC=43.936user_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=6273name=applyelapsed=0.018 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=99.807 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=7468name=applyelapsed=0.034 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=7507name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=7796name=byelapsed=0.028 ML_statistics = :now=1481935804.61tasks_ready=1000tasks_pending=1tasks_running=10tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1395size_allocation=96468992size_allocation_free=96468992size_heap=598736896size_heap_free_last_full_GC=5398976size_heap_free_last_GC=104799512threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=493.564time_GC=44.3user_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=6290name=byelapsed=0.140 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=0.019 ML_statistics = :now=1481935805.13tasks_ready=992tasks_pending=1tasks_running=10tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1412size_allocation=75497472size_allocation_free=75497472size_heap=599785472size_heap_free_last_full_GC=5398976size_heap_free_last_GC=82560072threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=495.7time_GC=44.7user_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_Guided_Attacker_Example.thyoffset=1549name=byelapsed=0.747 ### preprocess-obtain graph ### 0.003s elapsed time, 0.016s cpu time, 0.000s GC time ### preprocess-process ### 0.004s elapsed time, 0.020s cpu time, 0.000s GC time ### Infering modes ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### Compiling equations.... ### 0.013s elapsed time, 0.036s cpu time, 0.020s GC time ### Proving equations.... ### 0.002s 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 ### Infering modes ### 0.089s elapsed time, 0.396s cpu time, 0.068s GC time ### Defining executable functions... ### 0.000s elapsed time, 0.004s cpu time, 0.000s 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.... ### 0.002s elapsed time, 0.008s cpu time, 0.000s GC time ML_statistics = :now=1481935805.68tasks_ready=989tasks_pending=1tasks_running=10tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1431size_allocation=57671680size_allocation_free=57671680size_heap=598736896size_heap_free_last_full_GC=5398976size_heap_free_last_GC=64976812threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=497.672time_GC=45.104user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935806.2tasks_ready=986tasks_pending=1tasks_running=10tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1454size_allocation=35651584size_allocation_free=35651584size_heap=599785472size_heap_free_last_full_GC=5398976size_heap_free_last_GC=43262632threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=499.26time_GC=45.604user_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=1.651 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3141name=haveelapsed=0.012 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3672name=applyelapsed=0.029 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3753name=applyelapsed=0.047 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3411name=showelapsed=0.012 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3601name=byelapsed=0.012 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3199name=showelapsed=0.013 ML_statistics = :now=1481935806.72tasks_ready=989tasks_pending=1tasks_running=13tasks_passive=3tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1489size_allocation=12582912size_allocation_free=12582912size_heap=599785472size_heap_free_last_full_GC=5398976size_heap_free_last_GC=20549116threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=500.348time_GC=46.252user_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=0.671 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=2974name=showelapsed=0.013 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3000name=byelapsed=0.035 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=0.013 ML_statistics = :now=1481935807.36tasks_ready=978tasks_pending=1tasks_running=10tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1504size_allocation=499121448size_allocation_free=499121448size_heap=573571072size_heap_free_last_full_GC=8193536size_heap_free_last_GC=504875252threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=501.804time_GC=47.116user_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: 0 ms Depth: 4 Depth 4: 92 ms Depth: 5 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=61.626 ### preprocess-obtain graph ### 0.003s elapsed time, 0.016s cpu time, 0.000s GC time ### preprocess-process ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### Infering modes ### 0.003s 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.... ### 0.002s 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 ### 0.067s elapsed time, 0.360s cpu time, 0.024s GC time ### Defining executable functions... ### 0.000s elapsed time, 0.004s cpu time, 0.000s 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.... ### 0.002s elapsed time, 0.008s cpu time, 0.000s GC time ML_statistics = :now=1481935807.87tasks_ready=971tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1509size_allocation=486538536size_allocation_free=486538536size_heap=574619648size_heap_free_last_full_GC=8193536size_heap_free_last_GC=494688464threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=504.596time_GC=47.232user_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=0.668 ### preprocess-obtain graph ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### preprocess-process ### 0.006s elapsed time, 0.032s cpu time, 0.000s GC time ### Infering modes ### 0.003s elapsed time, 0.020s 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, 0.016s cpu time, 0.000s GC time ### Proving equations.... ### 0.002s 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 ### Proving equations.... ### 0.001s elapsed time, 0.004s cpu time, 0.000s GC time ### Setting code equations.... ### 0.001s elapsed time, 0.008s cpu time, 0.000s GC time Depth 5: 4616 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_Guided_Attacker_Example.thyoffset=1778name=quickcheckelapsed=2.940 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... ML_statistics = :now=1481935808.37tasks_ready=969tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1514size_allocation=472907048size_allocation_free=472907048size_heap=573571072size_heap_free_last_full_GC=8193536size_heap_free_last_GC=481472568threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=507.196time_GC=47.352user_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: 0 ms Depth: 4 Depth 4: 48 ms Depth: 5 ML_statistics = :now=1481935808.88tasks_ready=966tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1519size_allocation=440401192size_allocation_free=440401192size_heap=572522496size_heap_free_last_full_GC=8193536size_heap_free_last_GC=448935920threads_in_ML=3threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=510.352time_GC=47.524user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Infering modes ### 0.935s elapsed time, 5.224s cpu time, 0.284s GC time ### Defining executable functions... ### 0.002s elapsed time, 0.012s cpu time, 0.000s GC time ### Compiling equations.... ### 0.052s elapsed time, 0.308s cpu time, 0.000s GC time ### Proving equations.... ### 0.049s elapsed time, 0.252s cpu time, 0.032s GC time ### Setting code equations.... ### 0.058s elapsed time, 0.304s cpu time, 0.044s GC time Depth 5: 3172 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=1.640 ML_statistics = :now=1481935809.38tasks_ready=952tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1525size_allocation=423623976size_allocation_free=423623976size_heap=576716800size_heap_free_last_full_GC=8193536size_heap_free_last_GC=432177640threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=512.888time_GC=47.692user_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=1300name=byelapsed=0.363 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=1481935809.88tasks_ready=947tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1529size_allocation=399506728size_allocation_free=399506728size_heap=572522496size_heap_free_last_full_GC=8193536size_heap_free_last_GC=407921480threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=515.16time_GC=47.86user_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 Depth 4: 228 ms Depth: 5 ML_statistics = :now=1481935810.38tasks_ready=941tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1534size_allocation=385875240size_allocation_free=385875240size_heap=576716800size_heap_free_last_full_GC=8193536size_heap_free_last_GC=393211376threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=517.528time_GC=47.972user_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=0.710 ### preprocess-obtain graph ### 0.003s elapsed time, 0.012s cpu time, 0.000s GC time ### preprocess-process ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### Infering modes ### 0.003s 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 ### Infering modes ### 0.072s elapsed time, 0.316s cpu time, 0.016s GC time ### Defining executable functions... ### 0.000s elapsed time, 0.004s cpu time, 0.000s GC time ### Compiling equations.... ### 0.003s elapsed time, 0.016s cpu time, 0.000s GC time ### Proving equations.... ### 0.002s 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 [1 of 4] Compiling Typerep ( /tmp/isabelle-jenkins/process8037853546180555910/Quickcheck_Narrowing2826806/Typerep.hs, /tmp/isabelle-jenkins/process8037853546180555910/Quickcheck_Narrowing2826806/Typerep.o ) [2 of 4] Compiling Generated_Code ( /tmp/isabelle-jenkins/process8037853546180555910/Quickcheck_Narrowing2826806/Generated_Code.hs, /tmp/isabelle-jenkins/process8037853546180555910/Quickcheck_Narrowing2826806/Generated_Code.o ) [3 of 4] Compiling Narrowing_Engine ( /tmp/isabelle-jenkins/process8037853546180555910/Quickcheck_Narrowing2826806/Narrowing_Engine.hs, /tmp/isabelle-jenkins/process8037853546180555910/Quickcheck_Narrowing2826806/Narrowing_Engine.o ) [4 of 4] Compiling Main ( /tmp/isabelle-jenkins/process8037853546180555910/Quickcheck_Narrowing2826806/Main.hs, /tmp/isabelle-jenkins/process8037853546180555910/Quickcheck_Narrowing2826806/Main.o ) Linking /tmp/isabelle-jenkins/process8037853546180555910/Quickcheck_Narrowing2826806/isabelle_quickcheck_narrowing ... [Quickcheck-narrowing] Test data size: 0 [Quickcheck-narrowing] Test data size: 1 [Quickcheck-narrowing] Test data size: 2 ML_statistics = :now=1481935810.89tasks_ready=937tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1540size_allocation=374340904size_allocation_free=263346964size_heap=576716800size_heap_free_last_full_GC=8193536size_heap_free_last_GC=384020020threads_in_ML=5threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=519.924time_GC=48.084user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 [Quickcheck-narrowing] Test data size: 3 [Quickcheck-narrowing] Test data size: 4 [Quickcheck-narrowing] Test data size: 5 ML_statistics = :now=1481935811.41tasks_ready=932tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1547size_allocation=355466536size_allocation_free=355466536size_heap=575668224size_heap_free_last_full_GC=8193536size_heap_free_last_GC=363946996threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=522.16time_GC=48.268user_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 Depth 4: 48 ms Depth: 5 ML_statistics = :now=1481935811.92tasks_ready=930tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1553size_allocation=339737896size_allocation_free=339737896size_heap=576716800size_heap_free_last_full_GC=8193536size_heap_free_last_GC=347113620threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=524.024time_GC=48.404user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Depth 5: 10040 ms Depth: 6 ML_statistics = :now=1481935812.43tasks_ready=928tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1561size_allocation=326106408size_allocation_free=326106408size_heap=566231040size_heap_free_last_full_GC=8193536size_heap_free_last_GC=332993796threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=526.4time_GC=48.6user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935812.96tasks_ready=925tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1569size_allocation=272629032size_allocation_free=272629032size_heap=566231040size_heap_free_last_full_GC=8193536size_heap_free_last_GC=279298292threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=528.476time_GC=48.876user_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=1481935813.48tasks_ready=912tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1578size_allocation=272629032size_allocation_free=272629032size_heap=576716800size_heap_free_last_full_GC=8193536size_heap_free_last_GC=279724176threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=530.616time_GC=49.028user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935814.02tasks_ready=910tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1587size_allocation=260046120size_allocation_free=260046120size_heap=576716800size_heap_free_last_full_GC=8193536size_heap_free_last_GC=268256004threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=532.72time_GC=49.208user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935814.55tasks_ready=908tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1597size_allocation=242220328size_allocation_free=242220328size_heap=576716800size_heap_free_last_full_GC=8193536size_heap_free_last_GC=249971080threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=534.884time_GC=49.404user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935815.07tasks_ready=908tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1609size_allocation=231734568size_allocation_free=231734568size_heap=576716800size_heap_free_last_full_GC=8193536size_heap_free_last_GC=238996700threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=536.832time_GC=49.6user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935815.58tasks_ready=904tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1623size_allocation=218103080size_allocation_free=218103080size_heap=577765376size_heap_free_last_full_GC=8193536size_heap_free_last_GC=225891936threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=538.732time_GC=49.84user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935816.12tasks_ready=903tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1638size_allocation=208665896size_allocation_free=208665896size_heap=576716800size_heap_free_last_full_GC=8193536size_heap_free_last_GC=216360572threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=540.672time_GC=50.072user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935816.63tasks_ready=902tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1652size_allocation=200277288size_allocation_free=200277288size_heap=576716800size_heap_free_last_full_GC=8193536size_heap_free_last_GC=208004788threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=542.488time_GC=50.272user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935817.14tasks_ready=895tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1667size_allocation=195034408size_allocation_free=195034408size_heap=576716800size_heap_free_last_full_GC=8193536size_heap_free_last_GC=201852984threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=544.296time_GC=50.488user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935817.64tasks_ready=895tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1682size_allocation=187694376size_allocation_free=187694376size_heap=577765376size_heap_free_last_full_GC=8193536size_heap_free_last_GC=194657100threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=546.04time_GC=50.712user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935818.16tasks_ready=894tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1699size_allocation=173014312size_allocation_free=173014312size_heap=577765376size_heap_free_last_full_GC=8193536size_heap_free_last_GC=179685328threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=547.872time_GC=50.992user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935818.68tasks_ready=894tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1716size_allocation=164625704size_allocation_free=164625704size_heap=576716800size_heap_free_last_full_GC=8193536size_heap_free_last_GC=171523180threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=549.612time_GC=51.248user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935819.21tasks_ready=894tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1734size_allocation=147848488size_allocation_free=147848488size_heap=575668224size_heap_free_last_full_GC=8193536size_heap_free_last_GC=155878432threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=551.348time_GC=51.564user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935819.76tasks_ready=891tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1754size_allocation=140508456size_allocation_free=140508456size_heap=577765376size_heap_free_last_full_GC=8193536size_heap_free_last_GC=147455536threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=553.136time_GC=51.868user_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=110.677 ### 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 ### 0.013s elapsed time, 0.036s cpu time, 0.016s GC time ### Compiling equations.... ### 0.002s elapsed time, 0.012s cpu time, 0.000s GC time ### Proving equations.... ### 0.002s 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 ML_statistics = :now=1481935820.29tasks_ready=890tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1774size_allocation=132119848size_allocation_free=132119848size_heap=577765376size_heap_free_last_full_GC=8193536size_heap_free_last_GC=139280684threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=554.812time_GC=52.176user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935820.82tasks_ready=887tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1794size_allocation=125828392size_allocation_free=125828392size_heap=577765376size_heap_free_last_full_GC=8193536size_heap_free_last_GC=133364444threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=556.472time_GC=52.46user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935821.48tasks_ready=886tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1806size_allocation=412090368size_allocation_free=412090368size_heap=502267904size_heap_free_last_full_GC=4772936size_heap_free_last_GC=256250804threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=557.792time_GC=53.412user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Infering modes ### 1.509s elapsed time, 5.756s cpu time, 1.408s GC time ### Defining executable functions... ### 0.003s elapsed time, 0.016s cpu time, 0.000s GC time ### Compiling equations.... ### 0.066s elapsed time, 0.292s cpu time, 0.028s GC time ### Proving equations.... ### 0.052s elapsed time, 0.216s cpu time, 0.040s GC time ### Setting code equations.... ### 0.057s elapsed time, 0.240s cpu time, 0.032s GC time ML_statistics = :now=1481935822tasks_ready=886tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1814size_allocation=480247808size_allocation_free=480247808size_heap=589299712size_heap_free_last_full_GC=4772936size_heap_free_last_GC=486808608threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=560.252time_GC=53.588user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935822.51tasks_ready=886tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1821size_allocation=461373440size_allocation_free=461373440size_heap=589299712size_heap_free_last_full_GC=4772936size_heap_free_last_GC=468257264threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=562.16time_GC=53.744user_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=1481935823.05tasks_ready=886tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1831size_allocation=446693376size_allocation_free=446693376size_heap=590348288size_heap_free_last_full_GC=4772936size_heap_free_last_GC=455443120threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=564.584time_GC=53.912user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Depth 4: 1912 ms Depth: 5 ML_statistics = :now=1481935823.56tasks_ready=884tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1841size_allocation=442499072size_allocation_free=442499072size_heap=590348288size_heap_free_last_full_GC=4772936size_heap_free_last_GC=450305860threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=566.744time_GC=54.02user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935824.09tasks_ready=879tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1851size_allocation=435159040size_allocation_free=435159040size_heap=590348288size_heap_free_last_full_GC=4772936size_heap_free_last_GC=442811956threads_in_ML=3threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=568.912time_GC=54.144user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935824.6tasks_ready=878tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1861size_allocation=430964736size_allocation_free=430964736size_heap=590348288size_heap_free_last_full_GC=4772936size_heap_free_last_GC=438072520threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=571.04time_GC=54.26user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935825.11tasks_ready=875tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1871size_allocation=427819008size_allocation_free=427819008size_heap=590348288size_heap_free_last_full_GC=4772936size_heap_free_last_GC=434433844threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=573.152time_GC=54.372user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935825.63tasks_ready=863tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1881size_allocation=423624704size_allocation_free=423624704size_heap=591396864size_heap_free_last_full_GC=4772936size_heap_free_last_GC=431378128threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=575.156time_GC=54.484user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935826.14tasks_ready=856tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1892size_allocation=420478976size_allocation_free=420478976size_heap=590348288size_heap_free_last_full_GC=4772936size_heap_free_last_GC=427463868threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=577.22time_GC=54.612user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935826.65tasks_ready=853tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1903size_allocation=416284672size_allocation_free=416284672size_heap=591396864size_heap_free_last_full_GC=4772936size_heap_free_last_GC=423411132threads_in_ML=3threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=579.248time_GC=54.752user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935827.15tasks_ready=850tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1913size_allocation=412090368size_allocation_free=412090368size_heap=590348288size_heap_free_last_full_GC=4772936size_heap_free_last_GC=420087140threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=581.14time_GC=54.88user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935827.66tasks_ready=850tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1924size_allocation=407896064size_allocation_free=407896064size_heap=591396864size_heap_free_last_full_GC=4772936size_heap_free_last_GC=415860924threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=583.232time_GC=55.028user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935828.16tasks_ready=850tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1935size_allocation=407896064size_allocation_free=407896064size_heap=591396864size_heap_free_last_full_GC=4772936size_heap_free_last_GC=415767472threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=585.372time_GC=55.14user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935828.66tasks_ready=850tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1945size_allocation=407896064size_allocation_free=407896064size_heap=591396864size_heap_free_last_full_GC=4772936size_heap_free_last_GC=415677124threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=587.296time_GC=55.244user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935829.17tasks_ready=850tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1956size_allocation=405798912size_allocation_free=405798912size_heap=591396864size_heap_free_last_full_GC=4772936size_heap_free_last_GC=413479948threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=589.42time_GC=55.368user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935829.68tasks_ready=850tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1967size_allocation=405798912size_allocation_free=405798912size_heap=591396864size_heap_free_last_full_GC=4772936size_heap_free_last_GC=413368152threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=591.54time_GC=55.472user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935830.19tasks_ready=850tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1978size_allocation=404750336size_allocation_free=404750336size_heap=591396864size_heap_free_last_full_GC=4772936size_heap_free_last_GC=412651076threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=593.676time_GC=55.584user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Depth 5: 78216 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=19.802 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=3154name=byelapsed=0.258 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=2917name=byelapsed=0.100 ML_statistics = :now=1481935830.7tasks_ready=852tasks_pending=1tasks_running=13tasks_passive=5tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1988size_allocation=401604608size_allocation_free=401604608size_heap=590348288size_heap_free_last_full_GC=4772936size_heap_free_last_GC=409347572threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=595.868time_GC=55.7user_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=2754name=byelapsed=0.045 ML_statistics = :now=1481935831.25tasks_ready=837tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1998size_allocation=395313152size_allocation_free=395313152size_heap=590348288size_heap_free_last_full_GC=4772936size_heap_free_last_GC=403011304threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=598.096time_GC=55.844user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935831.79tasks_ready=836tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2008size_allocation=386924544size_allocation_free=386924544size_heap=590348288size_heap_free_last_full_GC=4772936size_heap_free_last_GC=394194424threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=600.28time_GC=56user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935832.3tasks_ready=831tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2018size_allocation=380633088size_allocation_free=380633088size_heap=590348288size_heap_free_last_full_GC=4772936size_heap_free_last_GC=388830780threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=602.396time_GC=56.136user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935832.82tasks_ready=826tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2028size_allocation=377487360size_allocation_free=377487360size_heap=590348288size_heap_free_last_full_GC=4772936size_heap_free_last_GC=385048492threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=604.492time_GC=56.264user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935833.33tasks_ready=820tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2038size_allocation=374341632size_allocation_free=374341632size_heap=590348288size_heap_free_last_full_GC=4772936size_heap_free_last_GC=382065680threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=606.588time_GC=56.4user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935833.85tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2048size_allocation=370147328size_allocation_free=370147328size_heap=590348288size_heap_free_last_full_GC=4772936size_heap_free_last_GC=377774428threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=608.664time_GC=56.544user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935834.36tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2058size_allocation=352321536size_allocation_free=352321536size_heap=587202560size_heap_free_last_full_GC=4772936size_heap_free_last_GC=358849124threads_in_ML=3threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=610.656time_GC=56.764user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935834.86tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2068size_allocation=346030080size_allocation_free=346030080size_heap=590348288size_heap_free_last_full_GC=4772936size_heap_free_last_GC=352006632threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=612.624time_GC=56.916user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935835.37tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2079size_allocation=346030080size_allocation_free=346030080size_heap=591396864size_heap_free_last_full_GC=4772936size_heap_free_last_GC=352708984threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=614.532time_GC=57.048user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935835.88tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2091size_allocation=343932928size_allocation_free=343932928size_heap=591396864size_heap_free_last_full_GC=4772936size_heap_free_last_GC=350539836threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=616.62time_GC=57.204user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935836.4tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2103size_allocation=343932928size_allocation_free=343932928size_heap=591396864size_heap_free_last_full_GC=4772936size_heap_free_last_GC=350417596threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=618.728time_GC=57.344user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935836.9tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2114size_allocation=343932928size_allocation_free=343932928size_heap=591396864size_heap_free_last_full_GC=4772936size_heap_free_last_GC=350298324threads_in_ML=3threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=620.628time_GC=57.472user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935837.41tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2127size_allocation=341835776size_allocation_free=341835776size_heap=591396864size_heap_free_last_full_GC=4772936size_heap_free_last_GC=348071548threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=622.716time_GC=57.628user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1481935837.93tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2139size_allocation=341835776size_allocation_free=341835776size_heap=591396864size_heap_free_last_full_GC=4772936size_heap_free_last_GC=347923012threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=624.82time_GC=57.768user_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 Quickcheck ran out of time Quickcheck found no counterexample. command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_No_Attacker_Example.thyoffset=1758name=quickcheckelapsed=30.121 ML_statistics = 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:now=1481935906.37tasks_ready=0tasks_pending=1tasks_running=3tasks_passive=0tasks_urgent=0workers_total=12workers_active=2workers_waiting=0full_GCs=11partial_GCs=2809size_allocation=3286237184size_allocation_free=661081472size_heap=3397386240size_heap_free_last_full_GC=7961196size_heap_free_last_GC=3294484632threads_in_ML=2threads_total=16threads_wait_condvar=12threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=821.924time_GC=113.076user_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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