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=0.023 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/Benchmarks/Quickcheck_Benchmark/Find_Unused_Assms_Examples.thyoffset=1name=theoryelapsed=0.167 ### theory "Find_Unused_Assms_Examples" ### 0.171s elapsed time, 0.464s cpu time, 0.000s GC time command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=6273name=applyelapsed=0.014 ML_statistics = :now=1482367472.44tasks_ready=8tasks_pending=5tasks_running=6tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=0size_allocation=135266304size_allocation_free=135129092size_heap=135266304size_heap_free_last_full_GC=0size_heap_free_last_GC=0threads_in_ML=0threads_total=15threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=0.008time_GC=0user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=7322name=code_predelapsed=0.099 ### 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" ### 0.329s elapsed time, 1.404s 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=0.078 ### 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=0.155 ### theory "Predicate_Compile_Quickcheck" ### 0.237s elapsed time, 1.364s cpu time, 0.036s GC time Loading theory "Needham_Schroeder_Base" (required by "Needham_Schroeder_No_Attacker_Example") loading_theory = Needham_Schroeder_Base command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=1name=theoryelapsed=0.067 ML_statistics = :now=1482367472.94tasks_ready=1028tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=2size_allocation=1032847360size_allocation_free=1032847360size_heap=1039138816size_heap_free_last_full_GC=0size_heap_free_last_GC=1042173032threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=5.148time_GC=0.088user_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=0.428 ML_statistics = :now=1482367473.45tasks_ready=1016tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=3size_allocation=1018167296size_allocation_free=1018167296size_heap=1042284544size_heap_free_last_full_GC=0size_heap_free_last_GC=1027646024threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=6.624time_GC=0.128user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=261name=datatypeelapsed=0.424 Found termination order: "{}" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=303name=funelapsed=0.038 ML_statistics = :now=1482367473.95tasks_ready=1005tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=5size_allocation=1002438656size_allocation_free=1002438656size_heap=1038090240size_heap_free_last_full_GC=0size_heap_free_last_GC=1011076104threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=9.644time_GC=0.244user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367474.45tasks_ready=998tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=7size_allocation=988807168size_allocation_free=988807168size_heap=1039138816size_heap_free_last_full_GC=0size_heap_free_last_GC=998267908threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=12.708time_GC=0.352user_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=0.840 Proofs for inductive predicate(s) "partsp" Proving monotonicity ... command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=669name=inductive_setelapsed=0.071 Proofs for inductive predicate(s) "analzp" Proving monotonicity ... command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=961name=inductive_setelapsed=0.080 Proofs for inductive predicate(s) "synthp" Proving monotonicity ... command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=1281name=inductive_setelapsed=0.091 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=1598name=primrecelapsed=0.010 ML_statistics = :now=1482367474.95tasks_ready=996tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=9size_allocation=969932800size_allocation_free=969932800size_heap=1039138816size_heap_free_last_full_GC=0size_heap_free_last_GC=979589256threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=15.592time_GC=0.46user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367475.48tasks_ready=991tasks_pending=4tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=11size_allocation=960495616size_allocation_free=960495616size_heap=1039138816size_heap_free_last_full_GC=0size_heap_free_last_GC=968984928threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=18.572time_GC=0.552user_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=0.664 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=1992name=primrecelapsed=0.035 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=0.077 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=6236name=code_predelapsed=0.021 ### theory "Needham_Schroeder_Base" ### 2.918s elapsed time, 16.984s cpu time, 0.564s GC time Loading theory "Needham_Schroeder_Guided_Attacker_Example" loading_theory = Needham_Schroeder_Guided_Attacker_Example command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=1name=theoryelapsed=0.065 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 ML_statistics = :now=1482367475.99tasks_ready=990tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=13size_allocation=938475520size_allocation_free=938475520size_heap=1040187392size_heap_free_last_full_GC=0size_heap_free_last_GC=946829636threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=21.464time_GC=0.648user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Infering modes ### 0.035s elapsed time, 0.212s cpu time, 0.000s GC time ### Defining executable functions... ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### Compiling equations.... ### 0.013s elapsed time, 0.080s cpu time, 0.000s GC time ### Proving equations.... ### 0.002s elapsed time, 0.012s cpu time, 0.000s GC time ### Setting code equations.... ### 0.003s elapsed time, 0.016s cpu time, 0.000s GC time command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=1494name=code_predelapsed=0.064 ### Infering modes ### 0.097s elapsed time, 0.540s cpu time, 0.036s GC time ### Defining executable functions... ### 0.000s elapsed time, 0.004s cpu time, 0.000s GC time ### Compiling equations.... ### 0.031s elapsed time, 0.184s cpu time, 0.000s GC time ### Proving equations.... ### 0.009s elapsed time, 0.052s cpu time, 0.000s GC time ### Setting code equations.... ### 0.010s elapsed time, 0.056s cpu time, 0.000s GC time command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=1612name=code_predelapsed=0.147 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=2360name=lemmaelapsed=0.010 ### theory "Needham_Schroeder_Guided_Attacker_Example" ### 0.476s elapsed time, 2.760s cpu time, 0.084s GC time Loading theory "Needham_Schroeder_No_Attacker_Example" loading_theory = Needham_Schroeder_No_Attacker_Example command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_No_Attacker_Example.thyoffset=1name=theoryelapsed=0.064 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=0.124 ### Infering modes ### 0.026s elapsed time, 0.156s cpu time, 0.000s GC time ### Defining executable functions... ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### Compiling equations.... ### 0.009s elapsed time, 0.052s cpu time, 0.000s GC time ### Proving equations.... ### 0.001s elapsed time, 0.008s 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=0.042 ML_statistics = :now=1482367476.49tasks_ready=991tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=15size_allocation=927989760size_allocation_free=927989760size_heap=1041235968size_heap_free_last_full_GC=0size_heap_free_last_GC=935009816threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=24.24time_GC=0.728user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Infering modes ### 0.067s elapsed time, 0.400s cpu time, 0.000s GC time ### Defining executable functions... ### 0.000s elapsed time, 0.004s cpu time, 0.000s GC time ### Compiling equations.... ### 0.023s elapsed time, 0.136s 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_No_Attacker_Example.thyoffset=1074name=code_predelapsed=0.105 ### theory "Needham_Schroeder_No_Attacker_Example" ### 0.370s elapsed time, 2.136s cpu time, 0.096s 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=0.064 Proofs for inductive predicate(s) "ns_publicp" Proving monotonicity ... command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=90name=inductive_setelapsed=0.129 ### Infering modes ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### Defining executable functions... ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### Compiling equations.... ### 0.001s elapsed time, 0.008s cpu time, 0.000s GC time ### Infering modes ### 0.041s elapsed time, 0.204s cpu time, 0.036s GC time ### Defining executable functions... ### 0.003s elapsed time, 0.020s cpu time, 0.000s GC time ### Compiling equations.... ### 0.010s elapsed time, 0.060s cpu time, 0.000s GC time ### Proving equations.... ### 0.002s elapsed time, 0.008s cpu time, 0.000s GC time ### Setting code equations.... ### 0.002s elapsed time, 0.016s cpu time, 0.000s GC time command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=1245name=code_predelapsed=0.073 ### Infering modes ### 0.076s elapsed time, 0.456s cpu time, 0.000s GC time ### Compiling equations.... ### 0.023s elapsed time, 0.140s cpu time, 0.000s GC time ### Proving equations.... ### 0.007s elapsed time, 0.044s 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=0.116 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=2114name=lemmaelapsed=0.010 ML_statistics = :now=1482367476.99tasks_ready=995tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=17size_allocation=908066816size_allocation_free=908066816size_heap=1043333120size_heap_free_last_full_GC=0size_heap_free_last_GC=916423792threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=26.992time_GC=0.816user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### theory "Needham_Schroeder_Unguided_Attacker_Example" ### 0.408s elapsed time, 2.404s cpu time, 0.036s GC time ML_statistics = :now=1482367477.49tasks_ready=1468tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=19size_allocation=893386752size_allocation_free=893386752size_heap=1042284544size_heap_free_last_full_GC=0size_heap_free_last_GC=902650904threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=29.74time_GC=0.916user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367477.99tasks_ready=1465tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=22size_allocation=881852416size_allocation_free=881852416size_heap=1041235968size_heap_free_last_full_GC=0size_heap_free_last_GC=891119860threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=33.58time_GC=1.036user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367478.49tasks_ready=1425tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=24size_allocation=875560960size_allocation_free=875560960size_heap=1044381696size_heap_free_last_full_GC=0size_heap_free_last_GC=884382240threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=36.128time_GC=1.092user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367479tasks_ready=1393tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=26size_allocation=861929472size_allocation_free=861929472size_heap=1041235968size_heap_free_last_full_GC=0size_heap_free_last_GC=870717900threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=38.592time_GC=1.184user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367479.51tasks_ready=1382tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=0partial_GCs=28size_allocation=850395136size_allocation_free=850395136size_heap=1042284544size_heap_free_last_full_GC=0size_heap_free_last_GC=859084696threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=41.14time_GC=1.268user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1482367539.56tasks_ready=1501tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=2partial_GCs=815size_allocation=335544320size_allocation_free=335544320size_heap=620756992size_heap_free_last_full_GC=7437580size_heap_free_last_GC=341880012threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=340.484time_GC=27.464user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Found 9 theorems with (potentially) superfluous assumptions: GCD.Lcm_0_iff_nat: unnecessary assumption(s) 1 GCD.gcd_non_0_int: unnecessary assumption(s) 1 GCD.gcd_non_0_nat: unnecessary assumption(s) 1 GCD.Gcd_remove0_nat: unnecessary assumption(s) 1 GCD.mult_inj_if_coprime_nat: unnecessary assumption(s) 3 GCD.transfer_int_nat_gcd_closures_2: unnecessary assumption(s) 1 and 2 GCD.transfer_int_nat_gcd_closures_1: unnecessary assumption(s) 1 and 2 GCD.transfer_nat_int_gcd_closures_2: unnecessary assumption(s) 1 and 2 GCD.transfer_nat_int_gcd_closures_1: unnecessary assumption(s) 1 and 2 Checked 70 theorems with assumptions (158 total) in the theory "GCD" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Find_Unused_Assms_Examples.thyoffset=157name=find_unused_assmselapsed=67.467 ML_statistics = :now=1482367540.07tasks_ready=1607tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=2partial_GCs=821size_allocation=320864256size_allocation_free=320864256size_heap=622854144size_heap_free_last_full_GC=7437580size_heap_free_last_GC=328303764threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=343.1time_GC=27.64user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1482367565.52tasks_ready=1087tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1220size_allocation=256901120size_allocation_free=256901120size_heap=559939584size_heap_free_last_full_GC=6695068size_heap_free_last_GC=263968804threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=464.72time_GC=40.6user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367566.03tasks_ready=1076tasks_pending=1tasks_running=12tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1227size_allocation=242221056size_allocation_free=242221056size_heap=559939584size_heap_free_last_full_GC=6695068size_heap_free_last_GC=250792844threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=467.256time_GC=40.76user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Found 5 theorems with (potentially) superfluous assumptions: Relation.reflp_sup: unnecessary assumption(s) 1 or 2 Relation.lfp_induct2: unnecessary assumption(s) 2 Relation.finite_Field: unnecessary assumption(s) 1 Relation.finite_Range: unnecessary assumption(s) 1 Relation.finite_Domain: unnecessary assumption(s) 1 Checked 100 theorems with assumptions (305 total) in the theory "Relation" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Find_Unused_Assms_Examples.thyoffset=291name=find_unused_assmselapsed=93.877 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=7468name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=7507name=applyelapsed=0.011 ML_statistics = :now=1482367566.54tasks_ready=1066tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1234size_allocation=217055232size_allocation_free=217055232size_heap=558891008size_heap_free_last_full_GC=6695068size_heap_free_last_GC=224856368threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=469.572time_GC=40.972user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367567.04tasks_ready=1053tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1243size_allocation=191889408size_allocation_free=191889408size_heap=559939584size_heap_free_last_full_GC=6695068size_heap_free_last_GC=200463780threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=472.136time_GC=41.216user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367567.56tasks_ready=1044tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1253size_allocation=162529280size_allocation_free=162529280size_heap=558891008size_heap_free_last_full_GC=6695068size_heap_free_last_GC=169907784threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=474.572time_GC=41.496user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367568.07tasks_ready=1026tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1264size_allocation=131072000size_allocation_free=131072000size_heap=558891008size_heap_free_last_full_GC=6695068size_heap_free_last_GC=137301532threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=476.748time_GC=41.832user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367568.59tasks_ready=1017tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1277size_allocation=108003328size_allocation_free=108003328size_heap=558891008size_heap_free_last_full_GC=6695068size_heap_free_last_GC=114704048threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=478.976time_GC=42.136user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367569.11tasks_ready=1012tasks_pending=1tasks_running=11tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=4partial_GCs=1292size_allocation=81788928size_allocation_free=81788928size_heap=560988160size_heap_free_last_full_GC=6695068size_heap_free_last_GC=89893000threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=481.052time_GC=42.504user_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=56.966 ML_statistics = :now=1482367569.65tasks_ready=1001tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=1full_GCs=4partial_GCs=1312size_allocation=55574528size_allocation_free=55574528size_heap=559939584size_heap_free_last_full_GC=6695068size_heap_free_last_GC=62306332threads_in_ML=2threads_total=16threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=483.044time_GC=42.968user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Predicate_Compile_Alternative_Defs.thyoffset=7796name=byelapsed=0.029 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Base.thyoffset=6290name=byelapsed=0.147 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=0.039 ML_statistics = :now=1482367570.17tasks_ready=989tasks_pending=1tasks_running=10tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=1full_GCs=4partial_GCs=1335size_allocation=40894464size_allocation_free=40894464size_heap=560988160size_heap_free_last_full_GC=6695068size_heap_free_last_GC=48555700threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=484.724time_GC=43.396user_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=0.944 ### preprocess-obtain graph ### 0.002s elapsed time, 0.012s cpu time, 0.000s GC time ### preprocess-process ### 0.014s elapsed time, 0.040s cpu time, 0.016s GC time ### Infering modes ### 0.003s elapsed time, 0.016s cpu time, 0.000s GC time ### Defining executable functions... ### 0.000s elapsed time, 0.004s cpu time, 0.000s GC time ### Compiling equations.... ### 0.011s elapsed time, 0.032s cpu time, 0.020s 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 ML_statistics = :now=1482367570.68tasks_ready=987tasks_pending=1tasks_running=10tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=1full_GCs=4partial_GCs=1365size_allocation=24117248size_allocation_free=24117248size_heap=560988160size_heap_free_last_full_GC=6695068size_heap_free_last_GC=33866272threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=486.06time_GC=43.948user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Found 1 theorems with (potentially) superfluous assumptions: Fun.notIn_Un_bij_betw: unnecessary assumption(s) 1 Checked 107 theorems with assumptions (173 total) in the theory "Fun" command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Find_Unused_Assms_Examples.thyoffset=269name=find_unused_assmselapsed=98.335 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=2914name=haveelapsed=0.010 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3628name=showelapsed=0.011 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3672name=applyelapsed=0.028 ### Infering modes ### 0.181s elapsed time, 0.556s cpu time, 0.228s GC time ### Defining executable functions... ### 0.000s elapsed time, 0.004s cpu time, 0.000s GC time ### Compiling equations.... ### 0.013s elapsed time, 0.036s cpu time, 0.016s GC time ### Proving equations.... ### 0.002s elapsed time, 0.008s cpu time, 0.000s GC time ### Setting code equations.... ### 0.011s elapsed time, 0.032s cpu time, 0.016s GC time command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3753name=applyelapsed=0.052 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3411name=showelapsed=0.012 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3512name=showelapsed=0.012 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3500name=byelapsed=0.011 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3199name=showelapsed=0.010 ML_statistics = :now=1482367571.28tasks_ready=991tasks_pending=1tasks_running=12tasks_passive=3tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1386size_allocation=311427016size_allocation_free=311427016size_heap=374341632size_heap_free_last_full_GC=7151172size_heap_free_last_GC=247126216threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=487.14time_GC=44.748user_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=0.424 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3120name=byelapsed=0.050 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Guided_Attacker_Example.thyoffset=3000name=byelapsed=0.036 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=0.014 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=1.803 ### 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.... ### 0.002s elapsed time, 0.012s cpu time, 0.000s GC time ### Proving equations.... ### 0.001s elapsed time, 0.012s cpu time, 0.000s GC time ### Setting code equations.... ### 0.002s elapsed time, 0.008s cpu time, 0.000s GC time ### Infering modes ### 0.057s elapsed time, 0.344s 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, 0.020s cpu time, 0.000s GC time ### Proving equations.... ### 0.002s elapsed time, 0.008s cpu time, 0.000s GC time ### Setting code equations.... ### 0.002s elapsed time, 0.008s cpu time, 0.000s GC time ML_statistics = :now=1482367571.79tasks_ready=974tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1390size_allocation=456130504size_allocation_free=456130504size_heap=531628032size_heap_free_last_full_GC=7151172size_heap_free_last_GC=462019776threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=490.196time_GC=44.872user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Depth: 0 Depth 0: 0 ms Depth: 1 Depth 1: 0 ms Depth: 2 Depth 2: 0 ms Depth: 3 Depth 3: 0 ms Depth: 4 Depth 4: 92 ms Depth: 5 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=0.667 ### preprocess-obtain graph ### 0.003s elapsed time, 0.016s cpu time, 0.000s GC time ### preprocess-process ### 0.006s elapsed time, 0.032s cpu time, 0.000s GC time ### Infering modes ### 0.003s elapsed time, 0.016s cpu time, 0.000s GC time ### Compiling equations.... ### 0.002s 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 ### 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=1482367572.29tasks_ready=964tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1395size_allocation=437256136size_allocation_free=437256136size_heap=533725184size_heap_free_last_full_GC=7151172size_heap_free_last_GC=444511036threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=493.044time_GC=45.008user_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: 68 ms Depth: 5 ML_statistics = :now=1482367572.79tasks_ready=956tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1401size_allocation=427818952size_allocation_free=427818952size_heap=532676608size_heap_free_last_full_GC=7151172size_heap_free_last_GC=435633536threads_in_ML=2threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=495.588time_GC=45.136user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Depth 5: 4724 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=2.364 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... ### Infering modes ### 0.951s elapsed time, 5.208s cpu time, 0.236s GC time ### Defining executable functions... ### 0.002s elapsed time, 0.012s cpu time, 0.000s GC time ### Compiling equations.... ### 0.063s elapsed time, 0.340s cpu time, 0.020s GC time ### Proving equations.... ### 0.037s elapsed time, 0.224s cpu time, 0.000s GC time ### Setting code equations.... ### 0.055s elapsed time, 0.284s cpu time, 0.036s GC time Depth 5: 3124 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=1.634 ML_statistics = :now=1482367573.29tasks_ready=952tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1407size_allocation=418381768size_allocation_free=418381768size_heap=530579456size_heap_free_last_full_GC=7151172size_heap_free_last_GC=425656180threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=497.916time_GC=45.252user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=1300name=byelapsed=0.371 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=1482367573.8tasks_ready=944tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1412size_allocation=389021640size_allocation_free=389021640size_heap=528482304size_heap_free_last_full_GC=7151172size_heap_free_last_GC=397629352threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=500.668time_GC=45.44user_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=1482367574.31tasks_ready=943tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1417size_allocation=365952968size_allocation_free=365952968size_heap=532676608size_heap_free_last_full_GC=7151172size_heap_free_last_GC=375029060threads_in_ML=1threads_total=16threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=503.324time_GC=45.58user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Depth 4: 268 ms Depth: 5 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=0.725 ### preprocess-obtain graph ### 0.003s elapsed time, 0.016s cpu time, 0.000s GC time ### preprocess-process ### 0.004s elapsed time, 0.024s cpu time, 0.000s GC time ### Infering modes ### 0.012s elapsed time, 0.036s cpu time, 0.016s GC time ### Defining executable functions... ### 0.000s elapsed time, 0.004s cpu time, 0.000s GC time ### Compiling equations.... ### 0.003s elapsed time, 0.012s 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 ### Infering modes ### 0.059s elapsed time, 0.308s cpu time, 0.000s GC time ### Compiling equations.... ### 0.014s elapsed time, 0.040s cpu time, 0.024s 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 ML_statistics = :now=1482367574.82tasks_ready=940tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1424size_allocation=355467208size_allocation_free=355467208size_heap=534773760size_heap_free_last_full_GC=7151172size_heap_free_last_GC=364029644threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=505.932time_GC=45.716user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367575.32tasks_ready=938tasks_pending=1tasks_running=9tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1430size_allocation=334495688size_allocation_free=334495688size_heap=532676608size_heap_free_last_full_GC=7151172size_heap_free_last_GC=342731976threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=507.86time_GC=45.872user_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=98.385 ### preprocess-obtain graph ### 0.003s elapsed time, 0.012s 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, 0.016s cpu time, 0.000s GC time ### Compiling equations.... ### 0.002s 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 [1 of 4] Compiling Typerep ( /tmp/isabelle-jenkins/process1838729188875110589/Quickcheck_Narrowing2843346/Typerep.hs, /tmp/isabelle-jenkins/process1838729188875110589/Quickcheck_Narrowing2843346/Typerep.o ) [2 of 4] Compiling Generated_Code ( /tmp/isabelle-jenkins/process1838729188875110589/Quickcheck_Narrowing2843346/Generated_Code.hs, /tmp/isabelle-jenkins/process1838729188875110589/Quickcheck_Narrowing2843346/Generated_Code.o ) [3 of 4] Compiling Narrowing_Engine ( /tmp/isabelle-jenkins/process1838729188875110589/Quickcheck_Narrowing2843346/Narrowing_Engine.hs, /tmp/isabelle-jenkins/process1838729188875110589/Quickcheck_Narrowing2843346/Narrowing_Engine.o ) [4 of 4] Compiling Main ( /tmp/isabelle-jenkins/process1838729188875110589/Quickcheck_Narrowing2843346/Main.hs, /tmp/isabelle-jenkins/process1838729188875110589/Quickcheck_Narrowing2843346/Main.o ) Linking /tmp/isabelle-jenkins/process1838729188875110589/Quickcheck_Narrowing2843346/isabelle_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: 56 ms Depth: 5 [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=1482367575.82tasks_ready=936tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1437size_allocation=319815624size_allocation_free=319815624size_heap=534773760size_heap_free_last_full_GC=7151172size_heap_free_last_GC=328136096threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=509.968time_GC=46.016user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367576.33tasks_ready=928tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1445size_allocation=313524168size_allocation_free=313524168size_heap=535822336size_heap_free_last_full_GC=7151172size_heap_free_last_GC=321748552threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=512.224time_GC=46.14user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Infering modes ### 0.993s elapsed time, 4.452s cpu time, 0.260s GC time ### Defining executable functions... ### 0.002s elapsed time, 0.008s cpu time, 0.000s GC time ### Compiling equations.... ### 0.061s elapsed time, 0.264s cpu time, 0.020s GC time ### Proving equations.... ### 0.048s elapsed time, 0.208s cpu time, 0.028s GC time ### Setting code equations.... ### 0.057s elapsed time, 0.252s cpu time, 0.036s GC time Depth 5: 10260 ms Depth: 6 ML_statistics = :now=1482367576.84tasks_ready=923tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1453size_allocation=299892680size_allocation_free=299892680size_heap=535822336size_heap_free_last_full_GC=7151172size_heap_free_last_GC=307456452threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=514.352time_GC=46.3user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367577.35tasks_ready=922tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1461size_allocation=279969736size_allocation_free=279969736size_heap=534773760size_heap_free_last_full_GC=7151172size_heap_free_last_GC=287474992threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=516.364time_GC=46.492user_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=1482367577.87tasks_ready=919tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1471size_allocation=262143944size_allocation_free=262143944size_heap=535822336size_heap_free_last_full_GC=7151172size_heap_free_last_GC=269941932threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=518.54time_GC=46.696user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 [Quickcheck-narrowing] Test data size: 6 Depth 4: 2032 ms Depth: 5 ML_statistics = :now=1482367578.39tasks_ready=915tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1483size_allocation=254803912size_allocation_free=254803912size_heap=535822336size_heap_free_last_full_GC=7151172size_heap_free_last_GC=262481488threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=520.564time_GC=46.868user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367578.9tasks_ready=909tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1495size_allocation=244318152size_allocation_free=244318152size_heap=535822336size_heap_free_last_full_GC=7151172size_heap_free_last_GC=251941576threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=522.524time_GC=47.072user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367579.42tasks_ready=907tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1507size_allocation=228589512size_allocation_free=228589512size_heap=535822336size_heap_free_last_full_GC=7151172size_heap_free_last_GC=236056220threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=524.44time_GC=47.284user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367579.94tasks_ready=900tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1520size_allocation=196083656size_allocation_free=196083656size_heap=533725184size_heap_free_last_full_GC=7151172size_heap_free_last_GC=201906076threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=526.296time_GC=47.62user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367580.45tasks_ready=899tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1534size_allocation=163577800size_allocation_free=163577800size_heap=535822336size_heap_free_last_full_GC=7151172size_heap_free_last_GC=170404664threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=528.028time_GC=47.948user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367580.97tasks_ready=899tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1550size_allocation=153092040size_allocation_free=153092040size_heap=535822336size_heap_free_last_full_GC=7151172size_heap_free_last_GC=160994368threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=529.728time_GC=48.2user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367581.52tasks_ready=899tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1569size_allocation=133169096size_allocation_free=133169096size_heap=534773760size_heap_free_last_full_GC=7151172size_heap_free_last_GC=139270380threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=531.528time_GC=48.528user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367582.05tasks_ready=894tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1588size_allocation=121634760size_allocation_free=121634760size_heap=535822336size_heap_free_last_full_GC=7151172size_heap_free_last_GC=127721380threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=533.172time_GC=48.84user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367582.57tasks_ready=893tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1610size_allocation=105906120size_allocation_free=105906120size_heap=536870912size_heap_free_last_full_GC=7151172size_heap_free_last_GC=112690092threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=534.644time_GC=49.184user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367583.13tasks_ready=893tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=5partial_GCs=1638size_allocation=99614664size_allocation_free=99614664size_heap=535822336size_heap_free_last_full_GC=7151172size_heap_free_last_GC=105757576threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=536.136time_GC=49.556user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367583.86tasks_ready=893tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1647size_allocation=469762048size_allocation_free=469762048size_heap=584056832size_heap_free_last_full_GC=5411704size_heap_free_last_GC=474857328threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=538.132time_GC=50.648user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367584.41tasks_ready=887tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1657size_allocation=463470592size_allocation_free=463470592size_heap=584056832size_heap_free_last_full_GC=5411704size_heap_free_last_GC=471058272threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=540.468time_GC=50.76user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367584.94tasks_ready=886tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1666size_allocation=450887680size_allocation_free=450887680size_heap=584056832size_heap_free_last_full_GC=5411704size_heap_free_last_GC=459006744threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=542.58time_GC=50.908user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367585.49tasks_ready=886tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1676size_allocation=435159040size_allocation_free=435159040size_heap=580911104size_heap_free_last_full_GC=5411704size_heap_free_last_GC=443503328threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=544.872time_GC=51.064user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367586.02tasks_ready=886tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1685size_allocation=436207616size_allocation_free=436207616size_heap=584056832size_heap_free_last_full_GC=5411704size_heap_free_last_GC=444357016threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=546.86time_GC=51.16user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367586.52tasks_ready=886tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1695size_allocation=425721856size_allocation_free=425721856size_heap=584056832size_heap_free_last_full_GC=5411704size_heap_free_last_GC=434753872threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=549.06time_GC=51.312user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367587.03tasks_ready=879tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1705size_allocation=416284672size_allocation_free=416284672size_heap=584056832size_heap_free_last_full_GC=5411704size_heap_free_last_GC=424508092threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=551.172time_GC=51.46user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1482367593.09tasks_ready=850tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1832size_allocation=387973120size_allocation_free=387973120size_heap=584056832size_heap_free_last_full_GC=5411704size_heap_free_last_GC=396271460threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=575.744time_GC=52.872user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367593.61tasks_ready=850tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1844size_allocation=386924544size_allocation_free=386924544size_heap=584056832size_heap_free_last_full_GC=5411704size_heap_free_last_GC=394765372threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=577.976time_GC=53user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367594.12tasks_ready=850tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1855size_allocation=386924544size_allocation_free=386924544size_heap=584056832size_heap_free_last_full_GC=5411704size_heap_free_last_GC=394617212threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=580.02time_GC=53.128user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Depth 5: 78224 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=19.781 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=3577name=applyelapsed=0.025 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=3154name=byelapsed=0.263 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=2917name=byelapsed=0.103 ML_statistics = :now=1482367594.63tasks_ready=852tasks_pending=1tasks_running=13tasks_passive=5tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1864size_allocation=383778816size_allocation_free=383778816size_heap=583008256size_heap_free_last_full_GC=5411704size_heap_free_last_GC=391609812threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=582time_GC=53.24user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_Unguided_Attacker_Example.thyoffset=2754name=byelapsed=0.049 ML_statistics = :now=1482367595.14tasks_ready=837tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1874size_allocation=373293056size_allocation_free=373293056size_heap=584056832size_heap_free_last_full_GC=5411704size_heap_free_last_GC=381887584threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=584.148time_GC=53.388user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1482367597.65tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1925size_allocation=343932928size_allocation_free=343932928size_heap=584056832size_heap_free_last_full_GC=5411704size_heap_free_last_GC=350802112threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=594.404time_GC=54.1user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1482367599.17tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1957size_allocation=320864256size_allocation_free=320864256size_heap=584056832size_heap_free_last_full_GC=5411704size_heap_free_last_GC=326841144threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=600.252time_GC=54.62user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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:now=1482367600.19tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1982size_allocation=319815680size_allocation_free=319815680size_heap=583008256size_heap_free_last_full_GC=5411704size_heap_free_last_GC=326614136threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=604.388time_GC=54.924user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367600.71tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=1994size_allocation=317718528size_allocation_free=317718528size_heap=584056832size_heap_free_last_full_GC=5411704size_heap_free_last_GC=324393548threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=606.34time_GC=55.068user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367601.23tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2007size_allocation=317718528size_allocation_free=317718528size_heap=584056832size_heap_free_last_full_GC=5411704size_heap_free_last_GC=324245184threads_in_ML=2threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=608.452time_GC=55.228user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367601.75tasks_ready=818tasks_pending=1tasks_running=8tasks_passive=0tasks_urgent=0workers_total=12workers_active=6workers_waiting=0full_GCs=6partial_GCs=2019size_allocation=314572800size_allocation_free=314572800size_heap=583008256size_heap_free_last_full_GC=5411704size_heap_free_last_GC=320171988threads_in_ML=1threads_total=17threads_wait_condvar=9threads_wait_IO=1threads_wait_mutex=0threads_wait_signal=1time_CPU=610.4time_GC=55.392user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Quickcheck ran out of time Quickcheck found no counterexample. command_timing = :file=~~/src/Benchmarks/Quickcheck_Benchmark/Needham_Schroeder_No_Attacker_Example.thyoffset=1704name=quickcheckelapsed=30.001 ML_statistics = 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:now=1482367673.26tasks_ready=0tasks_pending=1tasks_running=3tasks_passive=0tasks_urgent=0workers_total=12workers_active=2workers_waiting=0full_GCs=11partial_GCs=2897size_allocation=3293577216size_allocation_free=3293577216size_heap=3397386240size_heap_free_last_full_GC=7037272size_heap_free_last_GC=3300079016threads_in_ML=2threads_total=16threads_wait_condvar=12threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=816.06time_GC=113.04user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367673.76tasks_ready=0tasks_pending=1tasks_running=3tasks_passive=0tasks_urgent=0workers_total=12workers_active=2workers_waiting=0full_GCs=11partial_GCs=2898size_allocation=3293577216size_allocation_free=3293577216size_heap=3397386240size_heap_free_last_full_GC=7037272size_heap_free_last_GC=3300076212threads_in_ML=2threads_total=16threads_wait_condvar=12threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=817.068time_GC=113.06user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367674.28tasks_ready=0tasks_pending=1tasks_running=3tasks_passive=0tasks_urgent=0workers_total=12workers_active=2workers_waiting=0full_GCs=11partial_GCs=2899size_allocation=3293577216size_allocation_free=3293577216size_heap=3397386240size_heap_free_last_full_GC=7037272size_heap_free_last_GC=3300073640threads_in_ML=2threads_total=16threads_wait_condvar=12threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=818.076time_GC=113.08user_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=134.410 ML_statistics = :now=1482367674.78tasks_ready=0tasks_pending=1tasks_running=1tasks_passive=0tasks_urgent=0workers_total=12workers_active=1workers_waiting=0full_GCs=11partial_GCs=2899size_allocation=3293577216size_allocation_free=1698136268size_heap=3397386240size_heap_free_last_full_GC=7037272size_heap_free_last_GC=3300073640threads_in_ML=1threads_total=16threads_wait_condvar=13threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=818.592time_GC=113.08user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1482367675.28tasks_ready=0tasks_pending=1tasks_running=1tasks_passive=0tasks_urgent=0workers_total=12workers_active=1workers_waiting=0full_GCs=11partial_GCs=2900size_allocation=3293577216size_allocation_free=3293577216size_heap=3397386240size_heap_free_last_full_GC=7037272size_heap_free_last_GC=3300072272threads_in_ML=1threads_total=16threads_wait_condvar=13threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=819.176time_GC=113.104user_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