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=0.059 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=2522name=setupelapsed=0.022 Proofs for inductive predicate(s) "less_nat" Proving monotonicity ... command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=5997name=inductiveelapsed=0.013 Proofs for inductive predicate(s) "less_eq_nat" Proving monotonicity ... command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=6363name=inductiveelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=6218name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=6273name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=6565name=applyelapsed=0.010 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Find_Unused_Assms_Examples.thyoffset=1name=theoryelapsed=0.178 ### theory "Find_Unused_Assms_Examples" ### 0.184s elapsed time, 0.528s cpu time, 0.000s GC time command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=6623name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=7468name=applyelapsed=0.047 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=7322name=code_predelapsed=0.067 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=7507name=applyelapsed=0.020 ### 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=0.027 ### theory "Predicate_Compile_Alternative_Defs" ### 0.284s elapsed time, 1.136s 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=0.067 ML_statistics = :now=1483577172.36tasks_ready=1042tasks_pending=5tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=1size_allocation=524288000size_allocation_free=524288000size_heap=536870912size_heap_free_last_full_GC=0size_heap_free_last_GC=531628084threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=3.384time_GC=0.04user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### 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=0.162 ### theory "Predicate_Compile_Quickcheck" ### 0.232s elapsed time, 1.340s cpu time, 0.040s 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=0.067 ML_statistics = :now=1483577172.87tasks_ready=1040tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=2size_allocation=1031798784size_allocation_free=1031798784size_heap=1040187392size_heap_free_last_full_GC=0size_heap_free_last_GC=1040781248threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=5.22time_GC=0.092user_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=0.422 ML_statistics = :now=1483577173.39tasks_ready=1037tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=4size_allocation=1008730112size_allocation_free=1008730112size_heap=1037041664size_heap_free_last_full_GC=0size_heap_free_last_GC=1017910296threads_in_ML=4threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=8.24time_GC=0.212user_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=0.408 Found termination order: "{}" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=303name=funelapsed=0.038 ML_statistics = :now=1483577173.89tasks_ready=1021tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=6size_allocation=988807168size_allocation_free=988807168size_heap=1040187392size_heap_free_last_full_GC=0size_heap_free_last_GC=997282368threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=11.316time_GC=0.32user_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=0.856 Proofs for inductive predicate(s) "partsp" Proving monotonicity ... command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=669name=inductive_setelapsed=0.070 Proofs for inductive predicate(s) "analzp" Proving monotonicity ... ML_statistics = :now=1483577174.39tasks_ready=1016tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=8size_allocation=966787072size_allocation_free=966787072size_heap=1041235968size_heap_free_last_full_GC=0size_heap_free_last_GC=974941888threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=14.088time_GC=0.432user_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=961name=inductive_setelapsed=0.079 Proofs for inductive predicate(s) "synthp" Proving monotonicity ... command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=1281name=inductive_setelapsed=0.087 consts initState :: "agent \ msg set" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=1598name=primrecelapsed=0.010 ML_statistics = :now=1483577174.89tasks_ready=1007tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=10size_allocation=959447040size_allocation_free=959447040size_heap=1037041664size_heap_free_last_full_GC=0size_heap_free_last_GC=967671336threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=16.952time_GC=0.548user_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=0.632 consts knows :: "agent \ event list \ msg set" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=1992name=primrecelapsed=0.019 consts used :: "event list \ msg set" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=2772name=primrecelapsed=0.011 Found termination order: "(\p. length (snd p)) <*mlex*> {}" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=3152name=funelapsed=0.088 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=6236name=code_predelapsed=0.020 ### theory "Needham_Schroeder_Base" ### 2.866s elapsed time, 16.652s cpu time, 0.588s GC time Loading theory "Needham_Schroeder_Guided_Attacker_Example" loading_theory = Needham_Schroeder_Guided_Attacker_Example ML_statistics = :now=1483577175.41tasks_ready=1006tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=12size_allocation=950009856size_allocation_free=950009856size_heap=1038090240size_heap_free_last_full_GC=0size_heap_free_last_GC=959574384threads_in_ML=1threads_total=16threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=19.72time_GC=0.628user_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=1name=theoryelapsed=0.065 Proofs for inductive predicate(s) "ns_publicp" Proving monotonicity ... command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=88name=inductive_setelapsed=0.174 ### Infering modes ### 0.039s elapsed time, 0.232s cpu time, 0.000s GC time ### Defining executable functions... ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### Compiling equations.... ### 0.015s elapsed time, 0.088s cpu time, 0.000s GC time ### Proving equations.... ### 0.002s elapsed time, 0.008s cpu time, 0.000s GC time ### Setting code equations.... ### 0.003s elapsed time, 0.016s cpu time, 0.000s GC time command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=1494name=code_predelapsed=0.070 ### Infering modes ### 0.105s elapsed time, 0.588s cpu time, 0.036s GC time ### Compiling equations.... ### 0.034s elapsed time, 0.204s 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, 0.064s cpu time, 0.000s GC time command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=1612name=code_predelapsed=0.159 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=2360name=lemmaelapsed=0.010 ### theory "Needham_Schroeder_Guided_Attacker_Example" ### 0.493s elapsed time, 2.876s cpu time, 0.088s GC time Loading theory "Needham_Schroeder_No_Attacker_Example" loading_theory = Needham_Schroeder_No_Attacker_Example ML_statistics = :now=1483577175.91tasks_ready=1008tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=14size_allocation=926941184size_allocation_free=926941184size_heap=1043333120size_heap_free_last_full_GC=0size_heap_free_last_GC=937202516threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=22.464time_GC=0.716user_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_No_Attacker_Example.thyoffset=1name=theoryelapsed=0.065 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=0.129 ### Infering modes ### 0.028s elapsed time, 0.168s 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, 0.056s cpu time, 0.000s GC time ### Proving equations.... ### 0.001s elapsed time, 0.008s cpu time, 0.000s GC time ### Setting code equations.... ### 0.002s elapsed time, 0.012s cpu time, 0.000s GC time command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_No_Attacker_Example.thyoffset=1013name=code_predelapsed=0.045 ### Infering modes ### 0.069s elapsed time, 0.420s cpu time, 0.000s GC time ### Compiling equations.... ### 0.023s elapsed time, 0.140s cpu time, 0.000s GC time ### Proving equations.... ### 0.006s elapsed time, 0.036s cpu time, 0.000s GC time ### 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=0.107 ### theory "Needham_Schroeder_No_Attacker_Example" ### 0.364s elapsed time, 2.140s cpu time, 0.056s 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=0.081 Proofs for inductive predicate(s) "ns_publicp" Proving monotonicity ... ML_statistics = :now=1483577176.41tasks_ready=1004tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=16size_allocation=912261120size_allocation_free=912261120size_heap=1040187392size_heap_free_last_full_GC=0size_heap_free_last_GC=920625860threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=25.224time_GC=0.824user_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=90name=inductive_setelapsed=0.131 ### 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 ### Proving equations.... ### 0.000s elapsed time, 0.004s cpu time, 0.000s GC time ### Setting code equations.... ### 0.000s elapsed time, 0.004s cpu time, 0.000s GC time ### Infering modes ### 0.045s elapsed time, 0.228s cpu time, 0.044s GC time ### Defining executable functions... ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### Compiling equations.... ### 0.011s elapsed time, 0.060s cpu time, 0.000s GC time ### Proving equations.... ### 0.002s elapsed time, 0.012s cpu time, 0.000s GC time ### Setting code equations.... ### 0.002s elapsed time, 0.016s cpu time, 0.000s GC time command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=1245name=code_predelapsed=0.078 ### Infering modes ### 0.078s elapsed time, 0.472s cpu time, 0.000s GC time ### Compiling equations.... ### 0.024s elapsed time, 0.148s cpu time, 0.000s GC time ### Proving equations.... ### 0.007s elapsed time, 0.040s cpu time, 0.000s GC time ### Setting code equations.... ### 0.008s elapsed time, 0.048s cpu time, 0.000s GC time command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=1363name=code_predelapsed=0.118 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=2114name=lemmaelapsed=0.010 ### theory "Needham_Schroeder_Unguided_Attacker_Example" ### 0.433s elapsed time, 2.512s cpu time, 0.096s GC time ML_statistics = :now=1483577176.91tasks_ready=1485tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=18size_allocation=902823936size_allocation_free=902823936size_heap=1040187392size_heap_free_last_full_GC=0size_heap_free_last_GC=912075836threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=27.98time_GC=0.924user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577177.43tasks_ready=1478tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=20size_allocation=886046720size_allocation_free=886046720size_heap=1045430272size_heap_free_last_full_GC=0size_heap_free_last_GC=894074532threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=30.684time_GC=1user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577177.93tasks_ready=1469tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=23size_allocation=871366656size_allocation_free=871366656size_heap=1044381696size_heap_free_last_full_GC=0size_heap_free_last_GC=879012800threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=34.484time_GC=1.108user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577178.44tasks_ready=1465tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=25size_allocation=855638016size_allocation_free=855638016size_heap=1035993088size_heap_free_last_full_GC=0size_heap_free_last_GC=864044464threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=36.988time_GC=1.244user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577178.94tasks_ready=1463tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=27size_allocation=835715072size_allocation_free=835715072size_heap=1041235968size_heap_free_last_full_GC=0size_heap_free_last_GC=842893696threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=39.452time_GC=1.356user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1483577241.59tasks_ready=1431tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=2partial_GCs=853size_allocation=149946368size_allocation_free=149946368size_heap=585105408size_heap_free_last_full_GC=7141436size_heap_free_last_GC=157786896threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=351.584time_GC=27.904user_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=69.946 ML_statistics = :now=1483577242.1tasks_ready=1412tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=2partial_GCs=864size_allocation=122683392size_allocation_free=122683392size_heap=586153984size_heap_free_last_full_GC=7141436size_heap_free_last_GC=130293348threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=353.708time_GC=28.272user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1483577265.03tasks_ready=1124tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1256size_allocation=67108864size_allocation_free=67108864size_heap=535822336size_heap_free_last_full_GC=8264720size_heap_free_last_GC=74905544threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=461.54time_GC=40.332user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577265.56tasks_ready=1119tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1279size_allocation=39845888size_allocation_free=39845888size_heap=536870912size_heap_free_last_full_GC=8264720size_heap_free_last_GC=47469820threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=463.248time_GC=40.856user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577266.2tasks_ready=1113tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1298size_allocation=369098752size_allocation_free=369098752size_heap=442499072size_heap_free_last_full_GC=6621232size_heap_free_last_GC=236262220threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=464.472time_GC=41.812user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577266.71tasks_ready=1112tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1303size_allocation=427819008size_allocation_free=427819008size_heap=519045120size_heap_free_last_full_GC=6621232size_heap_free_last_GC=435936384threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=467.74time_GC=41.984user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Found 4 theorems with (potentially) superfluous assumptions: Wellfounded.wf_converse: unnecessary assumption(s) 3 Wellfounded.finite_acyclic_wf: unnecessary assumption(s) 1 Wellfounded.wf_iff_acyclic_if_finite: unnecessary assumption(s) 1 Wellfounded.finite_acyclic_wf_converse: unnecessary assumption(s) 1 Checked 73 theorems with assumptions (111 total) in the theory "Wellfounded" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Find_Unused_Assms_Examples.thyoffset=340name=find_unused_assmselapsed=57.898 ML_statistics = :now=1483577267.22tasks_ready=1101tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1307size_allocation=408944640size_allocation_free=408944640size_heap=522190848size_heap_free_last_full_GC=6621232size_heap_free_last_GC=417367664threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=470.16time_GC=42.092user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577267.75tasks_ready=1090tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1312size_allocation=386924544size_allocation_free=386924544size_heap=521142272size_heap_free_last_full_GC=6621232size_heap_free_last_GC=396670844threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=473.032time_GC=42.28user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577268.27tasks_ready=1069tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1317size_allocation=367001600size_allocation_free=367001600size_heap=520093696size_heap_free_last_full_GC=6621232size_heap_free_last_GC=376230684threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=475.752time_GC=42.428user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577268.78tasks_ready=1062tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1322size_allocation=347078656size_allocation_free=347078656size_heap=521142272size_heap_free_last_full_GC=6621232size_heap_free_last_GC=356586160threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=478.376time_GC=42.584user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577269.29tasks_ready=1054tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1328size_allocation=321912832size_allocation_free=321912832size_heap=521142272size_heap_free_last_full_GC=6621232size_heap_free_last_GC=328641468threads_in_ML=1threads_total=16threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=481.24time_GC=42.776user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Found 1 theorems with (potentially) superfluous assumptions: Fun.notIn_Un_bij_betw: unnecessary assumption(s) 1 Checked 107 theorems with assumptions (173 total) in the theory "Fun" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Find_Unused_Assms_Examples.thyoffset=269name=find_unused_assmselapsed=97.596 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=7796name=byelapsed=0.028 ML_statistics = :now=1483577269.79tasks_ready=1022tasks_pending=1tasks_running=10tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1334size_allocation=308281344size_allocation_free=308281344size_heap=522190848size_heap_free_last_full_GC=6621232size_heap_free_last_GC=316092860threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=483.844time_GC=42.932user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577270.31tasks_ready=1018tasks_pending=1tasks_running=10tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1340size_allocation=288358400size_allocation_free=288358400size_heap=521142272size_heap_free_last_full_GC=6621232size_heap_free_last_GC=296079700threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=486.548time_GC=43.108user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577270.82tasks_ready=1005tasks_pending=1tasks_running=10tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1346size_allocation=271581184size_allocation_free=271581184size_heap=522190848size_heap_free_last_full_GC=6621232size_heap_free_last_GC=278530988threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=488.92time_GC=43.28user_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=0.100 Found 5 theorems with (potentially) superfluous assumptions: Relation.reflp_sup: unnecessary assumption(s) 1 or 2 Relation.lfp_induct2: unnecessary assumption(s) 2 Relation.finite_Field: unnecessary assumption(s) 1 Relation.finite_Range: unnecessary assumption(s) 1 Relation.finite_Domain: unnecessary assumption(s) 1 Checked 106 theorems with assumptions (317 total) in the theory "Relation" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Find_Unused_Assms_Examples.thyoffset=291name=find_unused_assmselapsed=98.822 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=0.018 ### 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 ### Defining executable functions... ### 0.000s elapsed time, 0.004s cpu time, 0.000s GC time ### Compiling equations.... ### 0.017s elapsed time, 0.056s cpu time, 0.040s GC time ### Proving equations.... ### 0.001s elapsed time, 0.008s cpu time, 0.000s GC time ### Setting code equations.... ### 0.001s elapsed time, 0.012s cpu time, 0.000s GC time ### Infering modes ### 0.061s elapsed time, 0.360s 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, 0.012s cpu time, 0.000s GC time ### Setting code equations.... ### 0.012s elapsed time, 0.036s cpu time, 0.024s GC time ML_statistics = :now=1483577271.34tasks_ready=986tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1353size_allocation=255852544size_allocation_free=255852544size_heap=523239424size_heap_free_last_full_GC=6621232size_heap_free_last_GC=263070748threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=491.788time_GC=43.456user_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=0.564 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3753name=applyelapsed=0.028 ML_statistics = :now=1483577271.85tasks_ready=988tasks_pending=1tasks_running=12tasks_passive=3tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1359size_allocation=241172480size_allocation_free=241172480size_heap=522190848size_heap_free_last_full_GC=6621232size_heap_free_last_GC=248445312threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=494.148time_GC=43.612user_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=0.247 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3120name=byelapsed=0.063 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3000name=byelapsed=0.046 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 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=1.104 ### preprocess-obtain graph ### 0.002s 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 ### 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.... ### 0.001s 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 ### 0.070s elapsed time, 0.380s cpu time, 0.028s 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, 0.012s cpu time, 0.000s GC time Depth: 0 Depth 0: 0 ms Depth: 1 ### Setting code equations.... ### 0.002s elapsed time, 0.008s cpu time, 0.000s GC time Depth 1: 0 ms Depth: 2 Depth 2: 0 ms Depth: 3 Depth 3: 4 ms Depth: 4 Depth 4: 60 ms Depth: 5 ML_statistics = :now=1483577272.36tasks_ready=972tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1367size_allocation=224395264size_allocation_free=224395264size_heap=523239424size_heap_free_last_full_GC=6621232size_heap_free_last_GC=231761164threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=496.76time_GC=43.804user_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=0.728 ### preprocess-obtain graph ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### preprocess-process ### 0.006s elapsed time, 0.036s cpu time, 0.000s GC time ### Infering modes ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### Defining executable functions... ### 0.010s elapsed time, 0.020s cpu time, 0.020s GC time ### Compiling equations.... ### 0.003s elapsed time, 0.012s cpu time, 0.000s GC time ### Proving equations.... ### 0.001s elapsed time, 0.008s cpu time, 0.000s GC time ### Setting code equations.... ### 0.002s elapsed time, 0.008s cpu time, 0.000s GC time ### 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=1483577272.86tasks_ready=968tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1378size_allocation=209715200size_allocation_free=209715200size_heap=523239424size_heap_free_last_full_GC=6621232size_heap_free_last_GC=216716424threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=499.308time_GC=44.016user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Depth 5: 5028 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=2.178 Checking goals: \ns_publicp evs; Says B A (Crypt (pubEK A) \Nonce NA, Nonce NB\) \ set evs; A \ Spy; B \ Spy; A \ B\ \ Nonce NB \ analz (knows Spy evs) Testing conjecture with Quickcheck-narrowing... Depth: 0 Depth 0: 0 ms Depth: 1 Depth 1: 0 ms Depth: 2 Depth 2: 0 ms Depth: 3 Depth 3: 0 ms Depth: 4 Depth 4: 48 ms Depth: 5 ML_statistics = :now=1483577273.38tasks_ready=955tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1389size_allocation=180355072size_allocation_free=180355072size_heap=523239424size_heap_free_last_full_GC=6621232size_heap_free_last_GC=186484608threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=501.6time_GC=44.32user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577273.89tasks_ready=949tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1402size_allocation=162529280size_allocation_free=162529280size_heap=523239424size_heap_free_last_full_GC=6621232size_heap_free_last_GC=170015348threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=503.936time_GC=44.596user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Infering modes ### 1.174s elapsed time, 5.924s cpu time, 0.644s GC time ### Defining executable functions... ### 0.002s elapsed time, 0.012s cpu time, 0.000s GC time Depth 5: 3436 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=1.897 ### Compiling equations.... ### 0.079s elapsed time, 0.388s cpu time, 0.044s GC time ### Proving equations.... ### 0.048s elapsed time, 0.244s cpu time, 0.024s GC time ### Setting code equations.... ### 0.075s elapsed time, 0.356s cpu time, 0.096s GC time ML_statistics = :now=1483577274.39tasks_ready=947tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1413size_allocation=131072000size_allocation_free=131072000size_heap=523239424size_heap_free_last_full_GC=6621232size_heap_free_last_GC=138348180threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=505.984time_GC=44.912user_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=0.444 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=1483577274.91tasks_ready=942tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1427size_allocation=108003328size_allocation_free=108003328size_heap=523239424size_heap_free_last_full_GC=6621232size_heap_free_last_GC=113962000threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=508.392time_GC=45.224user_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=0.880 ### preprocess-obtain graph ### 0.003s elapsed time, 0.012s cpu time, 0.000s GC time ### preprocess-process ### 0.016s elapsed time, 0.044s cpu time, 0.024s GC time ### Infering modes ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### Compiling equations.... ### 0.003s elapsed time, 0.012s cpu time, 0.000s GC time ### Proving equations.... ### 0.001s elapsed time, 0.008s cpu time, 0.000s GC time ### Setting code equations.... ### 0.002s elapsed time, 0.008s cpu time, 0.000s GC time ML_statistics = :now=1483577275.44tasks_ready=940tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1441size_allocation=82837504size_allocation_free=82837504size_heap=523239424size_heap_free_last_full_GC=6621232size_heap_free_last_GC=88970916threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=510.292time_GC=45.56user_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 ### Infering modes ### 0.097s elapsed time, 0.372s cpu time, 0.080s 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 Depth 4: 296 ms Depth: 5 ML_statistics = :now=1483577275.96tasks_ready=940tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1462size_allocation=56623104size_allocation_free=56623104size_heap=523239424size_heap_free_last_full_GC=6621232size_heap_free_last_GC=63855844threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=511.652time_GC=46.028user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 [1 of 4] Compiling Typerep ( /tmp/isabelle-jenkins/process1629193212540975247/Quickcheck_Narrowing2853380/Typerep.hs, /tmp/isabelle-jenkins/process1629193212540975247/Quickcheck_Narrowing2853380/Typerep.o ) [2 of 4] Compiling Generated_Code ( /tmp/isabelle-jenkins/process1629193212540975247/Quickcheck_Narrowing2853380/Generated_Code.hs, /tmp/isabelle-jenkins/process1629193212540975247/Quickcheck_Narrowing2853380/Generated_Code.o ) [3 of 4] Compiling Narrowing_Engine ( /tmp/isabelle-jenkins/process1629193212540975247/Quickcheck_Narrowing2853380/Narrowing_Engine.hs, /tmp/isabelle-jenkins/process1629193212540975247/Quickcheck_Narrowing2853380/Narrowing_Engine.o ) [4 of 4] Compiling Main ( /tmp/isabelle-jenkins/process1629193212540975247/Quickcheck_Narrowing2853380/Main.hs, /tmp/isabelle-jenkins/process1629193212540975247/Quickcheck_Narrowing2853380/Main.o ) Linking /tmp/isabelle-jenkins/process1629193212540975247/Quickcheck_Narrowing2853380/isabelle_quickcheck_narrowing ... [Quickcheck-narrowing] Test data size: 0 [Quickcheck-narrowing] Test data size: 1 [Quickcheck-narrowing] Test data size: 2 [Quickcheck-narrowing] Test data size: 3 [Quickcheck-narrowing] Test data size: 4 [Quickcheck-narrowing] Test data size: 5 ML_statistics = :now=1483577276.7tasks_ready=937tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1490size_allocation=2097152size_allocation_free=2097152size_heap=95420416size_heap_free_last_full_GC=8919764size_heap_free_last_GC=8919764threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=512.852time_GC=47.392user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577277.21tasks_ready=933tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1495size_allocation=444596224size_allocation_free=444596224size_heap=550502400size_heap_free_last_full_GC=8919764size_heap_free_last_GC=451615492threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=515.052time_GC=47.52user_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: 56 ms Depth: 5 ML_statistics = :now=1483577277.72tasks_ready=928tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1501size_allocation=435159040size_allocation_free=435159040size_heap=550502400size_heap_free_last_full_GC=8919764size_heap_free_last_GC=442292372threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=517.324time_GC=47.636user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577278.23tasks_ready=921tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1507size_allocation=427819008size_allocation_free=427819008size_heap=549453824size_heap_free_last_full_GC=8919764size_heap_free_last_GC=434053724threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=519.532time_GC=47.744user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Depth 5: 12260 ms Depth: 6 [Quickcheck-narrowing] Test data size: 6 ML_statistics = :now=1483577278.73tasks_ready=918tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1513size_allocation=411041792size_allocation_free=411041792size_heap=550502400size_heap_free_last_full_GC=8919764size_heap_free_last_GC=418137108threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=521.684time_GC=47.88user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577279.24tasks_ready=917tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1519size_allocation=402653184size_allocation_free=402653184size_heap=547356672size_heap_free_last_full_GC=8919764size_heap_free_last_GC=410555212threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=523.76time_GC=47.996user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577279.75tasks_ready=914tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1526size_allocation=387973120size_allocation_free=387973120size_heap=551550976size_heap_free_last_full_GC=8919764size_heap_free_last_GC=394922296threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=526.06time_GC=48.112user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577280.26tasks_ready=913tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1532size_allocation=380633088size_allocation_free=380633088size_heap=549453824size_heap_free_last_full_GC=8919764size_heap_free_last_GC=388155876threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=528.056time_GC=48.208user_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=103.956 ### preprocess-obtain graph ### 0.003s elapsed time, 0.016s cpu time, 0.000s GC time ### preprocess-process ### 0.006s elapsed time, 0.028s 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, 0.012s 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 ### Compiling equations.... ### 0.000s 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=1483577280.76tasks_ready=904tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1539size_allocation=371195904size_allocation_free=371195904size_heap=552599552size_heap_free_last_full_GC=8919764size_heap_free_last_GC=377793952threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=530.332time_GC=48.316user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577281.27tasks_ready=901tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1546size_allocation=361758720size_allocation_free=361758720size_heap=551550976size_heap_free_last_full_GC=8919764size_heap_free_last_GC=367308260threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=532.664time_GC=48.44user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Infering modes ### 1.041s elapsed time, 4.720s cpu time, 0.280s GC time ### Defining executable functions... ### 0.002s elapsed time, 0.012s cpu time, 0.000s GC time ### Compiling equations.... ### 0.065s elapsed time, 0.292s cpu time, 0.020s GC time ML_statistics = :now=1483577281.77tasks_ready=899tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1552size_allocation=347078656size_allocation_free=347078656size_heap=550502400size_heap_free_last_full_GC=8919764size_heap_free_last_GC=354793900threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=534.556time_GC=48.588user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Proving equations.... ### 0.037s elapsed time, 0.188s cpu time, 0.000s GC time ### Setting code equations.... ### 0.057s elapsed time, 0.240s cpu time, 0.036s GC time ML_statistics = :now=1483577282.28tasks_ready=899tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1559size_allocation=330301440size_allocation_free=330301440size_heap=551550976size_heap_free_last_full_GC=8919764size_heap_free_last_GC=336693364threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=536.696time_GC=48.748user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577282.82tasks_ready=898tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1567size_allocation=282066944size_allocation_free=282066944size_heap=547356672size_heap_free_last_full_GC=8919764size_heap_free_last_GC=288862980threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=538.728time_GC=49.104user_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=1483577283.33tasks_ready=898tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1578size_allocation=260046848size_allocation_free=260046848size_heap=551550976size_heap_free_last_full_GC=8919764size_heap_free_last_GC=267911644threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=540.888time_GC=49.32user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Depth 4: 2052 ms Depth: 5 ML_statistics = :now=1483577283.84tasks_ready=893tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1589size_allocation=247463936size_allocation_free=247463936size_heap=550502400size_heap_free_last_full_GC=8919764size_heap_free_last_GC=255658020threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=542.808time_GC=49.508user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577284.34tasks_ready=893tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1601size_allocation=239075328size_allocation_free=239075328size_heap=551550976size_heap_free_last_full_GC=8919764size_heap_free_last_GC=246530372threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=544.76time_GC=49.688user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577284.86tasks_ready=890tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1615size_allocation=225443840size_allocation_free=225443840size_heap=552599552size_heap_free_last_full_GC=8919764size_heap_free_last_GC=232847840threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=546.664time_GC=49.908user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577285.39tasks_ready=887tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1632size_allocation=222298112size_allocation_free=222298112size_heap=552599552size_heap_free_last_full_GC=8919764size_heap_free_last_GC=229808420threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=548.576time_GC=50.12user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577285.9tasks_ready=886tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1648size_allocation=207618048size_allocation_free=207618048size_heap=552599552size_heap_free_last_full_GC=8919764size_heap_free_last_GC=213690748threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=550.312time_GC=50.388user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577286.41tasks_ready=886tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1665size_allocation=200278016size_allocation_free=200278016size_heap=552599552size_heap_free_last_full_GC=8919764size_heap_free_last_GC=209325400threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=552.084time_GC=50.6user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577286.96tasks_ready=886tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1684size_allocation=188743680size_allocation_free=188743680size_heap=552599552size_heap_free_last_full_GC=8919764size_heap_free_last_GC=196161852threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=553.896time_GC=50.896user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577287.54tasks_ready=886tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1704size_allocation=167772160size_allocation_free=167772160size_heap=550502400size_heap_free_last_full_GC=8919764size_heap_free_last_GC=176146504threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=555.756time_GC=51.204user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577288.06tasks_ready=886tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1724size_allocation=165675008size_allocation_free=165675008size_heap=552599552size_heap_free_last_full_GC=8919764size_heap_free_last_GC=173530244threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=557.472time_GC=51.452user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577288.58tasks_ready=879tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1744size_allocation=159383552size_allocation_free=159383552size_heap=552599552size_heap_free_last_full_GC=8919764size_heap_free_last_GC=166952412threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=559.128time_GC=51.724user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577289.09tasks_ready=878tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1764size_allocation=154140672size_allocation_free=154140672size_heap=552599552size_heap_free_last_full_GC=8919764size_heap_free_last_GC=160966728threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=560.7time_GC=51.984user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577289.77tasks_ready=877tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=7partial_GCs=1781size_allocation=202375168size_allocation_free=202375168size_heap=309329920size_heap_free_last_full_GC=4166188size_heap_free_last_GC=4166188threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=562.092time_GC=53.024user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1483577292.3tasks_ready=850tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=7partial_GCs=1830size_allocation=441450496size_allocation_free=441450496size_heap=574619648size_heap_free_last_full_GC=4166188size_heap_free_last_GC=449044348threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=572.832time_GC=53.596user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577292.8tasks_ready=850tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=7partial_GCs=1840size_allocation=442499072size_allocation_free=442499072size_heap=574619648size_heap_free_last_full_GC=4166188size_heap_free_last_GC=450009704threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=574.968time_GC=53.684user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577293.31tasks_ready=850tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=7partial_GCs=1850size_allocation=442499072size_allocation_free=442499072size_heap=574619648size_heap_free_last_full_GC=4166188size_heap_free_last_GC=449911764threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=577.1time_GC=53.776user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577293.83tasks_ready=850tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=7partial_GCs=1860size_allocation=440401920size_allocation_free=440401920size_heap=574619648size_heap_free_last_full_GC=4166188size_heap_free_last_GC=447783632threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=579.28time_GC=53.876user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577294.34tasks_ready=850tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=7partial_GCs=1870size_allocation=440401920size_allocation_free=440401920size_heap=574619648size_heap_free_last_full_GC=4166188size_heap_free_last_GC=447686756threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=581.424time_GC=53.964user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577294.85tasks_ready=850tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=7partial_GCs=1880size_allocation=439353344size_allocation_free=439353344size_heap=573571072size_heap_free_last_full_GC=4166188size_heap_free_last_GC=447640636threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=583.56time_GC=54.06user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Depth 5: 76336 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=19.841 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=3496name=applyelapsed=0.017 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=3577name=applyelapsed=0.016 ML_statistics = :now=1483577295.35tasks_ready=855tasks_pending=1tasks_running=11tasks_passive=3tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=7partial_GCs=1889size_allocation=437256192size_allocation_free=437256192size_heap=574619648size_heap_free_last_full_GC=4166188size_heap_free_last_GC=445002180threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=585.516time_GC=54.14user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=3154name=byelapsed=0.257 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=2917name=byelapsed=0.094 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=2754name=byelapsed=0.044 ML_statistics = :now=1483577295.86tasks_ready=844tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=7partial_GCs=1898size_allocation=435159040size_allocation_free=435159040size_heap=572522496size_heap_free_last_full_GC=4166188size_heap_free_last_GC=442561324threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=587.764time_GC=54.252user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1483577299.09tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=7partial_GCs=1955size_allocation=389021696size_allocation_free=389021696size_heap=573571072size_heap_free_last_full_GC=4166188size_heap_free_last_GC=396086400threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=601.188time_GC=55.08user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1483577301.15tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=7partial_GCs=1996size_allocation=375390208size_allocation_free=375390208size_heap=574619648size_heap_free_last_full_GC=4166188size_heap_free_last_GC=382339988threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=609.508time_GC=55.592user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577301.66tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=7partial_GCs=2007size_allocation=375390208size_allocation_free=375390208size_heap=574619648size_heap_free_last_full_GC=4166188size_heap_free_last_GC=382214352threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=611.64time_GC=55.708user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577302.17tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=7partial_GCs=2018size_allocation=373293056size_allocation_free=373293056size_heap=574619648size_heap_free_last_full_GC=4166188size_heap_free_last_GC=380047324threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=613.776time_GC=55.84user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577302.67tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=7partial_GCs=2028size_allocation=373293056size_allocation_free=373293056size_heap=574619648size_heap_free_last_full_GC=4166188size_heap_free_last_GC=379940428threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=615.712time_GC=55.948user_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=30.005 ML_statistics = :now=1483577303.18tasks_ready=817tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=7partial_GCs=2038size_allocation=368050176size_allocation_free=368050176size_heap=574619648size_heap_free_last_full_GC=4166188size_heap_free_last_GC=375279756threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=617.916time_GC=56.088user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Quickcheck ran out of time Quickcheck found no counterexample. command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_No_Attacker_Example.thyoffset=1758name=quickcheckelapsed=30.119 ML_statistics = :now=1483577303.71tasks_ready=816tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=7partial_GCs=2048size_allocation=353370112size_allocation_free=353370112size_heap=574619648size_heap_free_last_full_GC=4166188size_heap_free_last_GC=361699128threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=620.312time_GC=56.284user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577304.21tasks_ready=795tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=7partial_GCs=2058size_allocation=348127232size_allocation_free=348127232size_heap=574619648size_heap_free_last_full_GC=4166188size_heap_free_last_GC=355753116threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=622.74time_GC=56.428user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1483577378.17tasks_ready=0tasks_pending=1tasks_running=3tasks_passive=0tasks_urgent=0workers_total=12workers_active=2workers_waiting=0full_GCs=13partial_GCs=2911size_allocation=1202716672size_allocation_free=1202716672size_heap=1293942784size_heap_free_last_full_GC=2419316size_heap_free_last_GC=1206241732threads_in_ML=1threads_total=16threads_wait_condvar=12threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=823.448time_GC=123.044user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577378.69tasks_ready=0tasks_pending=1tasks_running=3tasks_passive=0tasks_urgent=0workers_total=12workers_active=2workers_waiting=0full_GCs=13partial_GCs=2914size_allocation=1202716672size_allocation_free=1202716672size_heap=1293942784size_heap_free_last_full_GC=2419316size_heap_free_last_GC=1206232956threads_in_ML=1threads_total=16threads_wait_condvar=12threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=824.556time_GC=123.104user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577379.2tasks_ready=0tasks_pending=1tasks_running=3tasks_passive=0tasks_urgent=0workers_total=12workers_active=2workers_waiting=0full_GCs=13partial_GCs=2916size_allocation=1202716672size_allocation_free=1202716672size_heap=1293942784size_heap_free_last_full_GC=2419316size_heap_free_last_GC=1206226616threads_in_ML=1threads_total=16threads_wait_condvar=12threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=825.312time_GC=123.144user_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 = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Find_Unused_Assms_Examples.thyoffset=415name=find_unused_assmselapsed=137.220 ML_statistics = :now=1483577379.71tasks_ready=0tasks_pending=1tasks_running=1tasks_passive=0tasks_urgent=0workers_total=12workers_active=1workers_waiting=0full_GCs=13partial_GCs=2917size_allocation=1202716672size_allocation_free=70399496size_heap=1293942784size_heap_free_last_full_GC=2419316size_heap_free_last_GC=1206220896threads_in_ML=1threads_total=16threads_wait_condvar=13threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=826.092time_GC=123.164user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1483577380.21tasks_ready=0tasks_pending=1tasks_running=1tasks_passive=0tasks_urgent=0workers_total=12workers_active=1workers_waiting=0full_GCs=13partial_GCs=2919size_allocation=1202716672size_allocation_free=1202716672size_heap=1293942784size_heap_free_last_full_GC=2419316size_heap_free_last_GC=1206217120threads_in_ML=1threads_total=16threads_wait_condvar=13threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=826.544time_GC=123.204user_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_Unguided_Attacker_Example.thyoffset=1887name=quickcheckelapsed=100.001 *** Interrupt