%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP086^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:17 AM UTC 2026
% Result : Theorem 0.54s 0.43s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP086^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 % Computer : n005.cluster.edu
% 0.07/0.21 % Model : x86_64 x86_64
% 0.07/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.21 % Memory : 8046.5625MB
% 0.07/0.21 % OS : Linux 6.8.0-71-generic
% 0.07/0.21 % CPULimit : 300
% 0.07/0.21 % WCLimit : 300
% 0.07/0.21 % DateTime : Tue Sep 29 19:50:17 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running higher-order theorem proving
% 0.17/0.27 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.40 % (2124025)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.54/0.40 % (2124035)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=211263645:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.54/0.40 % (2124036)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.54/0.40 % (2124036)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.54/0.40 % (2124030)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1967814869:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.54/0.40 % (2124031)lrs+10_16_si=on:nwc=1.5:random_seed=2843296770:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.54/0.40 % (2124032)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3318097131:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.54/0.40 % (2124036)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1399606469:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.54/0.40 % (2124034)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4257355243:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.54/0.40 % (2124033)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2649312723:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.54/0.40 % (2124032)Instruction limit reached!
% 0.54/0.40 % (2124032)------------------------------
% 0.54/0.40 % (2124032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.40 % (2124032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.40 % (2124032)CaDiCaL version: 2.1.3
% 0.54/0.40 % (2124032)Termination reason: Instruction limit
% 0.54/0.40 % (2124032)Termination phase: shuffling
% 0.54/0.40 % (2124032)Time elapsed: 0.002 s
% 0.54/0.40 % (2124032)Peak memory usage: 10 MB
% 0.54/0.40 % (2124032)Instructions burned: 3 (million)
% 0.54/0.40 % (2124031)Instruction limit reached!
% 0.54/0.40 % (2124031)------------------------------
% 0.54/0.40 % (2124031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.40 % (2124031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.40 % (2124031)CaDiCaL version: 2.1.3
% 0.54/0.40 % (2124031)Termination reason: Instruction limit
% 0.54/0.40 % (2124031)Termination phase: shuffling
% 0.54/0.40 % (2124031)Time elapsed: 0.009 s
% 0.54/0.40 % (2124031)Peak memory usage: 10 MB
% 0.54/0.40 % (2124031)Instructions burned: 19 (million)
% 0.54/0.40 % (2124034)Instruction limit reached!
% 0.54/0.40 % (2124034)------------------------------
% 0.54/0.40 % (2124034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.40 % (2124034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.40 % (2124034)CaDiCaL version: 2.1.3
% 0.54/0.40 % (2124034)Termination reason: Instruction limit
% 0.54/0.40 % (2124034)Termination phase: Property scanning
% 0.54/0.40 % (2124034)Time elapsed: 0.014 s
% 0.54/0.40 % (2124034)Peak memory usage: 10 MB
% 0.54/0.40 % (2124034)Instructions burned: 30 (million)
% 0.54/0.40 % (2124035)Instruction limit reached!
% 0.54/0.40 % (2124035)------------------------------
% 0.54/0.40 % (2124035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.40 % (2124035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.40 % (2124035)CaDiCaL version: 2.1.3
% 0.54/0.40 % (2124035)Termination reason: Instruction limit
% 0.54/0.40 % (2124035)Termination phase: Function definition elimination
% 0.54/0.40 % (2124035)Time elapsed: 0.022 s
% 0.54/0.40 % (2124035)Peak memory usage: 12 MB
% 0.54/0.40 % (2124035)Instructions burned: 89 (million)
% 0.54/0.40 % (2124044)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=635103834:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.54/0.40 % (2124046)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.54/0.42 % (2124044)Instruction limit reached!
% 0.54/0.42 % (2124044)------------------------------
% 0.54/0.42 % (2124044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.42 % (2124044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.42 % (2124044)CaDiCaL version: 2.1.3
% 0.54/0.42 % (2124044)Termination reason: Instruction limit
% 0.54/0.42 % (2124044)Termination phase: shuffling
% 0.54/0.42 % (2124044)Time elapsed: 0.001 s
% 0.54/0.42 % (2124044)Peak memory usage: 10 MB
% 0.54/0.42 % (2124044)Instructions burned: 2 (million)
% 0.54/0.42 % (2124046)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3133680333:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.54/0.42 % (2124046)Instruction limit reached!
% 0.54/0.42 % (2124046)------------------------------
% 0.54/0.42 % (2124046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.42 % (2124046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.42 % (2124046)CaDiCaL version: 2.1.3
% 0.54/0.42 % (2124046)Termination reason: Instruction limit
% 0.54/0.42 % (2124046)Termination phase: shuffling
% 0.54/0.42 % (2124046)Time elapsed: 0.002 s
% 0.54/0.42 % (2124046)Peak memory usage: 10 MB
% 0.54/0.42 % (2124046)Instructions burned: 7 (million)
% 0.54/0.42 % (2124045)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2117298506:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.54/0.42 % (2124045)Instruction limit reached!
% 0.54/0.42 % (2124045)------------------------------
% 0.54/0.42 % (2124045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.42 % (2124047)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4285777689:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.54/0.42 % (2124045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.42 % (2124045)CaDiCaL version: 2.1.3
% 0.54/0.42 % (2124045)Termination reason: Instruction limit
% 0.54/0.42 % (2124045)Termination phase: shuffling
% 0.54/0.42 % (2124045)Time elapsed: 0.003 s
% 0.54/0.42 % (2124045)Peak memory usage: 10 MB
% 0.54/0.42 % (2124045)Instructions burned: 5 (million)
% 0.54/0.42 % (2124051)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=4165546881:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.54/0.42 % (2124049)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.54/0.42 % (2124049)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.54/0.42 % (2124030)Instruction limit reached!
% 0.54/0.42 % (2124030)------------------------------
% 0.54/0.42 % (2124030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.42 % (2124030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.42 % (2124030)CaDiCaL version: 2.1.3
% 0.54/0.42 % (2124030)Termination reason: Instruction limit
% 0.54/0.42 % (2124030)Termination phase: Function definition elimination
% 0.54/0.42 % (2124030)Time elapsed: 0.040 s
% 0.54/0.42 % (2124030)Peak memory usage: 12 MB
% 0.54/0.42 % (2124030)Instructions burned: 87 (million)
% 0.54/0.42 % (2124047)Instruction limit reached!
% 0.54/0.42 % (2124047)------------------------------
% 0.54/0.42 % (2124047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.42 % (2124047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.42 % (2124047)CaDiCaL version: 2.1.3
% 0.54/0.42 % (2124047)Termination reason: Instruction limit
% 0.54/0.42 % (2124047)Termination phase: shuffling
% 0.54/0.42 % (2124047)Time elapsed: 0.006 s
% 0.54/0.42 % (2124047)Peak memory usage: 10 MB
% 0.54/0.42 % (2124047)Instructions burned: 12 (million)
% 0.54/0.42 % (2124049)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1939567773:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.54/0.42 % (2124054)lrs+10_1_si=on:cs=on:random_seed=1893347110:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.54/0.43 % (2124049)Instruction limit reached!
% 0.54/0.43 % (2124049)------------------------------
% 0.54/0.43 % (2124049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (2124049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (2124049)CaDiCaL version: 2.1.3
% 0.54/0.43 % (2124049)Termination reason: Instruction limit
% 0.54/0.43 % (2124049)Termination phase: shuffling
% 0.54/0.43 % (2124049)Time elapsed: 0.013 s
% 0.54/0.43 % (2124049)Peak memory usage: 10 MB
% 0.54/0.43 % (2124049)Instructions burned: 28 (million)
% 0.54/0.43 % (2124056)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.54/0.43 % (2124054)Instruction limit reached!
% 0.54/0.43 % (2124054)------------------------------
% 0.54/0.43 % (2124054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (2124054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (2124054)CaDiCaL version: 2.1.3
% 0.54/0.43 % (2124054)Termination reason: Instruction limit
% 0.54/0.43 % (2124054)Termination phase: shuffling
% 0.54/0.43 % (2124054)Time elapsed: 0.004 s
% 0.54/0.43 % (2124054)Peak memory usage: 10 MB
% 0.54/0.43 % (2124054)Instructions burned: 8 (million)
% 0.54/0.43 % (2124051)Instruction limit reached!
% 0.54/0.43 % (2124051)------------------------------
% 0.54/0.43 % (2124051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (2124051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (2124051)CaDiCaL version: 2.1.3
% 0.54/0.43 % (2124051)Termination reason: Instruction limit
% 0.54/0.43 % (2124051)Termination phase: Property scanning
% 0.54/0.43 % (2124051)Time elapsed: 0.020 s
% 0.54/0.43 % (2124051)Peak memory usage: 11 MB
% 0.54/0.43 % (2124051)Instructions burned: 90 (million)
% 0.54/0.43 % (2124056)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=3873412668:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.54/0.43 % (2124057)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3129312066:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.54/0.43 % (2124056)Instruction limit reached!
% 0.54/0.43 % (2124056)------------------------------
% 0.54/0.43 % (2124056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (2124056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (2124056)CaDiCaL version: 2.1.3
% 0.54/0.43 % (2124056)Termination reason: Instruction limit
% 0.54/0.43 % (2124056)Termination phase: shuffling
% 0.54/0.43 % (2124056)Time elapsed: 0.002 s
% 0.54/0.43 % (2124056)Peak memory usage: 10 MB
% 0.54/0.43 % (2124056)Instructions burned: 3 (million)
% 0.54/0.43 % (2124062)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4282130358:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.54/0.43 % (2124036)Instruction limit reached!
% 0.54/0.43 % (2124036)------------------------------
% 0.54/0.43 % (2124036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (2124036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (2124036)CaDiCaL version: 2.1.3
% 0.54/0.43 % (2124036)Termination reason: Instruction limit
% 0.54/0.43 % (2124036)Termination phase: Saturation
% 0.54/0.43 % (2124036)Time elapsed: 0.070 s
% 0.54/0.43 % (2124036)Peak memory usage: 13 MB
% 0.54/0.43 % (2124036)Instructions burned: 158 (million)
% 0.54/0.43 % (2124062)Instruction limit reached!
% 0.54/0.43 % (2124062)------------------------------
% 0.54/0.43 % (2124062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (2124062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (2124062)CaDiCaL version: 2.1.3
% 0.54/0.43 % (2124062)Termination reason: Instruction limit
% 0.54/0.43 % (2124062)Termination phase: shuffling
% 0.54/0.43 % (2124062)Time elapsed: 0.004 s
% 0.54/0.43 % (2124062)Peak memory usage: 10 MB
% 0.54/0.43 % (2124062)Instructions burned: 16 (million)
% 0.54/0.43 % (2124060)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=131240775:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.54/0.43 % (2124061)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=53272051:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.54/0.43 % (2124057)Instruction limit reached!
% 0.54/0.43 % (2124057)------------------------------
% 0.54/0.43 % (2124057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (2124057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (2124057)CaDiCaL version: 2.1.3
% 0.54/0.43 % (2124057)Termination reason: Instruction limit
% 0.54/0.43 % (2124057)Termination phase: SInE selection
% 0.54/0.43 % (2124057)Time elapsed: 0.017 s
% 0.54/0.43 % (2124057)Peak memory usage: 11 MB
% 0.54/0.43 % (2124057)Instructions burned: 38 (million)
% 0.54/0.43 % (2124065)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3109009833:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.54/0.43 % (2124068)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3000115373:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.54/0.43 % (2124068)Instruction limit reached!
% 0.54/0.43 % (2124068)------------------------------
% 0.54/0.43 % (2124068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (2124068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (2124068)CaDiCaL version: 2.1.3
% 0.54/0.43 % (2124068)Termination reason: Instruction limit
% 0.54/0.43 % (2124068)Termination phase: shuffling
% 0.54/0.43 % (2124068)Time elapsed: 0.001 s
% 0.54/0.43 % (2124068)Peak memory usage: 10 MB
% 0.54/0.43 % (2124068)Instructions burned: 3 (million)
% 0.54/0.43 % (2124061)Instruction limit reached!
% 0.54/0.43 % (2124061)------------------------------
% 0.54/0.43 % (2124061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (2124061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (2124061)CaDiCaL version: 2.1.3
% 0.54/0.43 % (2124061)Termination reason: Instruction limit
% 0.54/0.43 % (2124061)Termination phase: Property scanning
% 0.54/0.43 % (2124061)Time elapsed: 0.012 s
% 0.54/0.43 % (2124061)Peak memory usage: 10 MB
% 0.54/0.43 % (2124061)Instructions burned: 26 (million)
% 0.54/0.43 % (2124067)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1361887500:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.54/0.43 % (2124074)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=452308861:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.54/0.43 % (2124067)Instruction limit reached!
% 0.54/0.43 % (2124067)------------------------------
% 0.54/0.43 % (2124067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (2124067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (2124067)CaDiCaL version: 2.1.3
% 0.54/0.43 % (2124067)Termination reason: Instruction limit
% 0.54/0.43 % (2124067)Termination phase: shuffling
% 0.54/0.43 % (2124067)Time elapsed: 0.007 s
% 0.54/0.43 % (2124067)Peak memory usage: 10 MB
% 0.54/0.43 % (2124067)Instructions burned: 15 (million)
% 0.54/0.43 % (2124071)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3432006338:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.54/0.43 % (2124033) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2124025-2124033"...
% 0.54/0.43 % (2124060)Refutation not found, incomplete strategy
% 0.54/0.43 % (2124060)------------------------------
% 0.54/0.43 % (2124060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (2124060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (2124060)CaDiCaL version: 2.1.3
% 0.54/0.43 % (2124060)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.43 % (2124060)Time elapsed: 0.025 s
% 0.54/0.43 % (2124060)Peak memory usage: 13 MB
% 0.54/0.43 % (2124060)Instructions burned: 53 (million)
% 0.54/0.43 % (2124074)Instruction limit reached!
% 0.54/0.43 % (2124074)------------------------------
% 0.54/0.43 % (2124074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (2124074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (2124074)CaDiCaL version: 2.1.3
% 0.54/0.43 % (2124074)Termination reason: Instruction limit
% 0.54/0.43 % (2124074)Termination phase: Property scanning
% 0.54/0.43 % (2124074)Time elapsed: 0.006 s
% 0.54/0.43 % (2124074)Peak memory usage: 10 MB
% 0.54/0.43 % (2124074)Instructions burned: 25 (million)
% 0.54/0.43 % (2124060)------------------------------
% 0.54/0.43 % (2124060)------------------------------
% 0.54/0.43 % (2124033)...printing done.
% 0.54/0.43 % (2124033)Refutation found. Thanks to Tanya!
% 0.54/0.43 % SZS status Theorem for theBenchmark
% 0.54/0.43 % SZS output start Proof for theBenchmark
% 0.54/0.43 thf(type_def_5, type, secrecy_Expression: $tType).
% 0.54/0.43 thf(type_def_6, type, secrecy_specID: $tType).
% 0.54/0.43 thf(type_def_7, type, secrecy_chanID: $tType).
% 0.54/0.43 thf(type_def_8, type, set: $tType > $tType).
% 0.54/0.43 thf(type_def_9, type, nat: $tType).
% 0.54/0.43 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 0.54/0.43 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:($o)).
% 0.54/0.43 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 0.54/0.43 thf(func_def_2, type, bot: !>[X0: $tType]:($o)).
% 0.54/0.43 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 0.54/0.43 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 0.54/0.43 thf(func_def_5, type, lattice: !>[X0: $tType]:($o)).
% 0.54/0.43 thf(func_def_6, type, linorder: !>[X0: $tType]:($o)).
% 0.54/0.43 thf(func_def_7, type, preorder: !>[X0: $tType]:($o)).
% 0.54/0.43 thf(func_def_8, type, order_bot: !>[X0: $tType]:($o)).
% 0.54/0.43 thf(func_def_9, type, boolean_algebra: !>[X0: $tType]:($o)).
% 0.54/0.43 thf(func_def_10, type, semilattice_inf: !>[X0: $tType]:($o)).
% 0.54/0.43 thf(func_def_11, type, semilattice_sup: !>[X0: $tType]:($o)).
% 0.54/0.43 thf(func_def_12, type, bounded_lattice_bot: !>[X0: $tType]:($o)).
% 0.54/0.43 thf(func_def_13, type, bounde1808546759up_bot: !>[X0: $tType]:($o)).
% 0.54/0.43 thf(func_def_14, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 0.54/0.43 thf(func_def_15, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.54/0.43 thf(func_def_16, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.54/0.43 thf(func_def_17, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.54/0.43 thf(func_def_18, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.54/0.43 thf(func_def_19, type, eout: (secrecy_specID > secrecy_Expression > $o)).
% 0.54/0.43 thf(func_def_20, type, eoutM: (secrecy_specID > set @ secrecy_chanID > secrecy_Expression > $o)).
% 0.54/0.43 thf(func_def_21, type, exprChannel: (secrecy_chanID > secrecy_Expression > $o)).
% 0.54/0.43 thf(func_def_22, type, ine: (secrecy_specID > secrecy_Expression > $o)).
% 0.54/0.43 thf(func_def_23, type, ineM: (secrecy_specID > set @ secrecy_chanID > secrecy_Expression > $o)).
% 0.54/0.43 thf(func_def_24, type, ine_exprChannelSet: (secrecy_specID > set @ secrecy_chanID > secrecy_Expression > $o)).
% 0.54/0.43 thf(func_def_25, type, ine_ex1303305700Single: (secrecy_specID > secrecy_chanID > secrecy_Expression > $o)).
% 0.54/0.43 thf(func_def_26, type, out_exprChannelSet: (secrecy_specID > set @ secrecy_chanID > secrecy_Expression > $o)).
% 0.54/0.43 thf(func_def_27, type, out_ex985543062Single: (secrecy_specID > secrecy_chanID > secrecy_Expression > $o)).
% 0.54/0.43 thf(func_def_28, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.54/0.43 thf(func_def_29, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.54/0.43 thf(func_def_30, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 0.54/0.43 thf(func_def_31, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 0.54/0.43 thf(func_def_32, type, pairwise: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 0.54/0.43 thf(func_def_33, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 0.54/0.43 thf(func_def_34, type, correctCompositionIn: (secrecy_specID > $o)).
% 0.54/0.43 thf(func_def_35, type, correc965049635ionLoc: (secrecy_specID > $o)).
% 0.54/0.43 thf(func_def_36, type, correc990227761ionOut: (secrecy_specID > $o)).
% 0.54/0.43 thf(func_def_37, type, correctInOutLoc: (secrecy_specID > $o)).
% 0.54/0.43 thf(func_def_38, type, inStream: (secrecy_specID > set @ secrecy_chanID > $o)).
% 0.54/0.43 thf(func_def_39, type, ins: (secrecy_specID > set @ secrecy_chanID)).
% 0.54/0.43 thf(func_def_40, type, loc: (secrecy_specID > set @ secrecy_chanID)).
% 0.54/0.43 thf(func_def_41, type, locStream: (secrecy_specID > set @ secrecy_chanID > $o)).
% 0.54/0.43 thf(func_def_42, type, out: (secrecy_specID > set @ secrecy_chanID)).
% 0.54/0.43 thf(func_def_43, type, outStream: (secrecy_specID > set @ secrecy_chanID > $o)).
% 0.54/0.43 thf(func_def_44, type, subcomponents: (secrecy_specID > set @ secrecy_specID)).
% 0.54/0.43 thf(func_def_45, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.54/0.43 thf(func_def_46, type, p: secrecy_specID).
% 0.54/0.43 thf(func_def_47, type, pq: secrecy_specID).
% 0.54/0.43 thf(func_def_48, type, q: secrecy_specID).
% 0.54/0.43 thf(func_def_49, type, ch: secrecy_chanID).
% 0.54/0.43 thf(func_def_50, type, m: secrecy_Expression).
% 0.54/0.43 thf(func_def_54, type, vAND: ($o > $o > $o)).
% 0.54/0.43 thf(func_def_55, type, db0: !>[X0: $tType]:(X0)).
% 0.54/0.43 thf(func_def_56, type, db1: !>[X0: $tType]:(X0)).
% 0.54/0.43 thf(func_def_57, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.54/0.43 thf(func_def_58, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.54/0.43 thf(func_def_59, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.54/0.43 thf(func_def_60, type, db2: !>[X0: $tType]:(X0)).
% 0.54/0.43 thf(func_def_61, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.54/0.43 thf(func_def_62, type, vIMP: ($o > $o > $o)).
% 0.54/0.43 thf(func_def_63, type, vNOT: ($o > $o)).
% 0.54/0.43 thf(func_def_64, type, db3: !>[X0: $tType]:(X0)).
% 0.54/0.43 thf(func_def_65, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.54/0.43 thf(func_def_66, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.54/0.43 thf(func_def_67, type, sK2: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 0.54/0.43 thf(func_def_68, type, sK3: !>[X0: $tType]:((set @ X0 > X0))).
% 0.54/0.43 thf(func_def_69, type, sK4: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > X0 > X0))).
% 0.54/0.43 thf(func_def_70, type, sK5: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.54/0.43 thf(func_def_71, type, sK6: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.54/0.43 thf(func_def_72, type, sK7: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.54/0.43 thf(func_def_73, type, sK8: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.54/0.43 thf(func_def_74, type, sK9: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.54/0.43 thf(func_def_75, type, sK10: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.54/0.43 thf(func_def_76, type, sK11: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.54/0.43 thf(func_def_77, type, sK12: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.54/0.43 thf(func_def_78, type, sK13: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.54/0.43 thf(func_def_79, type, sK14: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.54/0.43 thf(func_def_80, type, sK15: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.54/0.43 thf(func_def_81, type, sK16: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.54/0.43 thf(func_def_82, type, sK17: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.54/0.43 thf(func_def_83, type, sK18: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.54/0.43 thf(func_def_84, type, sK19: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.54/0.43 thf(func_def_85, type, sK20: !>[X0: $tType]:((set @ X0 > X0))).
% 0.54/0.43 thf(func_def_86, type, sK21: !>[X0: $tType]:((set @ X0 > X0))).
% 0.54/0.43 thf(func_def_87, type, sK22: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.54/0.43 thf(func_def_88, type, sK23: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.54/0.43 thf(func_def_89, type, sK24: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.54/0.43 thf(func_def_90, type, sK25: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.54/0.43 thf(func_def_91, type, sK26: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.54/0.43 thf(func_def_92, type, sK27: !>[X0: $tType]:((set @ X0 > X0))).
% 0.54/0.43 thf(func_def_93, type, sK28: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.54/0.43 thf(func_def_94, type, sK29: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.54/0.43 thf(func_def_95, type, sK30: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.54/0.43 thf(func_def_96, type, sK31: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.54/0.43 thf(func_def_97, type, sK32: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.54/0.43 thf(func_def_98, type, sK33: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.54/0.43 thf(func_def_99, type, sK34: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.54/0.43 thf(func_def_100, type, sK35: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.54/0.43 thf(func_def_101, type, sK36: !>[X0: $tType]:((set @ X0 > X0))).
% 0.54/0.43 thf(func_def_102, type, sK37: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.54/0.43 thf(func_def_103, type, sK38: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.54/0.43 thf(func_def_104, type, sK39: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.54/0.43 thf(func_def_105, type, sK40: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > X0))).
% 0.54/0.43 thf(func_def_106, type, sK41: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > X0))).
% 0.54/0.43 thf(func_def_107, type, sK42: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 0.54/0.43 thf(func_def_108, type, sK43: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 0.54/0.43 thf(func_def_109, type, sK44: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.54/0.43 thf(func_def_110, type, sK45: !>[X0: $tType]:((X0 > X0 > set @ X0 > set @ X0 > set @ X0))).
% 0.54/0.43 thf(func_def_111, type, sK46: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.54/0.43 thf(func_def_112, type, sK47: (set @ secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.54/0.43 thf(func_def_113, type, sK48: (set @ secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.54/0.43 thf(func_def_114, type, sK49: !>[X0: $tType]:((set @ X0 > X0))).
% 0.54/0.43 thf(func_def_115, type, sK50: !>[X0: $tType]:((set @ X0 > X0))).
% 0.54/0.43 thf(func_def_116, type, sK51: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.54/0.43 thf(func_def_117, type, sK52: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.54/0.43 thf(func_def_118, type, sK53: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.54/0.43 thf(func_def_119, type, sK54: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.54/0.43 thf(func_def_120, type, sK55: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 0.54/0.43 thf(func_def_121, type, sK56: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 0.54/0.43 thf(func_def_122, type, sK57: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.54/0.43 thf(func_def_123, type, sK58: (set @ secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.54/0.43 thf(func_def_124, type, sK59: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.54/0.43 thf(func_def_125, type, sK60: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.54/0.43 thf(func_def_126, type, sK61: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 0.54/0.43 thf(func_def_127, type, sK62: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 0.54/0.43 thf(func_def_128, type, sK63: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.54/0.43 thf(f1,axiom,(
% 0.54/0.43 (correctCompositionIn @ pq)),
% 0.54/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms_I2_J)).
% 0.54/0.43 thf(f2,axiom,(
% 0.54/0.43 (exprChannel @ ch @ m)),
% 0.54/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_assms_I4_J)).
% 0.54/0.43 thf(f3,axiom,(
% 0.54/0.43 (member @ secrecy_chanID @ ch @ (ins @ p))),
% 0.54/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_assms_I3_J)).
% 0.54/0.43 thf(f4,axiom,(
% 0.54/0.43 ! [X0 : secrecy_chanID] : ((member @ secrecy_chanID @ X0 @ (ins @ pq)) => ~(exprChannel @ X0 @ m))),
% 0.54/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_assms_I5_J)).
% 0.54/0.43 thf(f5,axiom,(
% 0.54/0.43 (((subcomponents @ pq)) = ((insert @ secrecy_specID @ p @ (insert @ secrecy_specID @ q @ bot_bot @ set @ secrecy_specID))))),
% 0.54/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_assms_I1_J)).
% 0.54/0.43 thf(f7,axiom,(
% 0.54/0.43 ! [X0 : secrecy_specID,X3 : secrecy_chanID,X1 : secrecy_specID,X2 : secrecy_specID] : ((((subcomponents @ X0)) = ((insert @ secrecy_specID @ X1 @ (insert @ secrecy_specID @ X2 @ bot_bot @ set @ secrecy_specID)))) => ((correctCompositionIn @ X0) => (~(member @ secrecy_chanID @ X3 @ (loc @ X0)) => ((member @ secrecy_chanID @ X3 @ (ins @ X1)) => (member @ secrecy_chanID @ X3 @ (ins @ X0))))))),
% 0.54/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_correctCompositionIn__L1)).
% 0.54/0.43 thf(f303,conjecture,(
% 0.54/0.43 (member @ secrecy_chanID @ ch @ (loc @ pq))),
% 0.54/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.54/0.43 thf(f304,negated_conjecture,(
% 0.54/0.43 ~(member @ secrecy_chanID @ ch @ (loc @ pq))),
% 0.54/0.43 inference(negated_conjecture,[status(cth)],[f303])).
% 0.54/0.43 thf(f331,plain,(
% 0.54/0.43 ! [X0 : secrecy_specID,X1 : secrecy_chanID,X2 : secrecy_specID,X3 : secrecy_specID] : ((((subcomponents @ X0)) = ((insert @ secrecy_specID @ X2 @ (insert @ secrecy_specID @ X3 @ bot_bot @ set @ secrecy_specID)))) => ((correctCompositionIn @ X0) => (~(member @ secrecy_chanID @ X1 @ (loc @ X0)) => ((member @ secrecy_chanID @ X1 @ (ins @ X2)) => (member @ secrecy_chanID @ X1 @ (ins @ X0))))))),
% 0.54/0.43 inference(rectify,[],[f7])).
% 0.54/0.43 thf(f332,plain,(
% 0.54/0.43 ! [X0 : secrecy_specID,X1 : secrecy_chanID,X2 : secrecy_specID,X3 : secrecy_specID] : ((((subcomponents @ X0)) = ((insert @ secrecy_specID @ X2 @ (insert @ secrecy_specID @ X3 @ bot_bot @ set @ secrecy_specID)))) => ((((correctCompositionIn @ X0)) = $true) => (~ (((member @ secrecy_chanID @ X1 @ (loc @ X0))) = $true) => ((((member @ secrecy_chanID @ X1 @ (ins @ X2))) = $true) => (((member @ secrecy_chanID @ X1 @ (ins @ X0))) = $true)))))),
% 0.54/0.43 inference(fool_elimination,[],[f331])).
% 0.54/0.43 thf(f598,plain,(
% 0.54/0.43 ~(member @ secrecy_chanID @ ch @ (loc @ pq))),
% 0.54/0.43 inference(rectify,[],[f304])).
% 0.54/0.43 thf(f599,plain,(
% 0.54/0.43 ~ (((member @ secrecy_chanID @ ch @ (loc @ pq))) = $true)),
% 0.54/0.43 inference(fool_elimination,[],[f598])).
% 0.54/0.43 thf(f750,plain,(
% 0.54/0.43 (correctCompositionIn @ pq)),
% 0.54/0.43 inference(rectify,[],[f1])).
% 0.54/0.43 thf(f751,plain,(
% 0.54/0.43 (((correctCompositionIn @ pq)) = $true)),
% 0.54/0.43 inference(fool_elimination,[],[f750])).
% 0.54/0.43 thf(f773,plain,(
% 0.54/0.43 ! [X0 : secrecy_chanID] : ((member @ secrecy_chanID @ X0 @ (ins @ pq)) => ~(exprChannel @ X0 @ m))),
% 0.54/0.43 inference(rectify,[],[f4])).
% 0.54/0.43 thf(f774,plain,(
% 0.54/0.43 ! [X0 : secrecy_chanID] : ((((member @ secrecy_chanID @ X0 @ (ins @ pq))) = $true) => ~ (((exprChannel @ X0 @ m)) = $true))),
% 0.54/0.43 inference(fool_elimination,[],[f773])).
% 0.54/0.43 thf(f837,plain,(
% 0.54/0.43 (exprChannel @ ch @ m)),
% 0.54/0.43 inference(rectify,[],[f2])).
% 0.54/0.43 thf(f838,plain,(
% 0.54/0.43 (((exprChannel @ ch @ m)) = $true)),
% 0.54/0.43 inference(fool_elimination,[],[f837])).
% 0.54/0.43 thf(f852,plain,(
% 0.54/0.43 (member @ secrecy_chanID @ ch @ (ins @ p))),
% 0.54/0.43 inference(rectify,[],[f3])).
% 0.54/0.43 thf(f853,plain,(
% 0.54/0.43 (((member @ secrecy_chanID @ ch @ (ins @ p))) = $true)),
% 0.54/0.43 inference(fool_elimination,[],[f852])).
% 0.54/0.43 thf(f861,plain,(
% 0.54/0.43 ! [X0 : secrecy_specID,X3 : secrecy_specID,X2 : secrecy_specID,X1 : secrecy_chanID] : ((((subcomponents @ X0)) = ((insert @ secrecy_specID @ X2 @ (insert @ secrecy_specID @ X3 @ bot_bot @ set @ secrecy_specID)))) => ((((correctCompositionIn @ X0)) = $true) => ((((member @ secrecy_chanID @ X1 @ (loc @ X0))) != $true) => ((((member @ secrecy_chanID @ X1 @ (ins @ X2))) = $true) => (((member @ secrecy_chanID @ X1 @ (ins @ X0))) = $true)))))),
% 0.54/0.43 inference(flattening,[],[f332])).
% 0.54/0.43 thf(f891,plain,(
% 0.54/0.43 (((member @ secrecy_chanID @ ch @ (loc @ pq))) != $true)),
% 0.54/0.43 inference(flattening,[],[f599])).
% 0.54/0.43 thf(f913,plain,(
% 0.54/0.43 ! [X0 : secrecy_chanID] : ((((member @ secrecy_chanID @ X0 @ (ins @ pq))) = $true) => (((exprChannel @ X0 @ m)) != $true))),
% 0.54/0.43 inference(flattening,[],[f774])).
% 0.54/0.43 thf(f1060,plain,(
% 0.54/0.43 ! [X0 : secrecy_chanID] : ((((exprChannel @ X0 @ m)) != $true) | (((member @ secrecy_chanID @ X0 @ (ins @ pq))) != $true))),
% 0.54/0.43 inference(ennf_transformation,[],[f913])).
% 0.54/0.43 thf(f1144,plain,(
% 0.54/0.43 ! [X0 : secrecy_specID,X3 : secrecy_specID,X2 : secrecy_specID,X1 : secrecy_chanID] : (((((((member @ secrecy_chanID @ X1 @ (ins @ X0))) = $true) | (((member @ secrecy_chanID @ X1 @ (ins @ X2))) != $true)) | (((member @ secrecy_chanID @ X1 @ (loc @ X0))) = $true)) | (((correctCompositionIn @ X0)) != $true)) | (((subcomponents @ X0)) != ((insert @ secrecy_specID @ X2 @ (insert @ secrecy_specID @ X3 @ bot_bot @ set @ secrecy_specID)))))),
% 0.54/0.43 inference(ennf_transformation,[],[f861])).
% 0.54/0.43 thf(f1145,plain,(
% 0.54/0.43 ! [X1 : secrecy_chanID,X2 : secrecy_specID,X3 : secrecy_specID,X0 : secrecy_specID] : ((((member @ secrecy_chanID @ X1 @ (ins @ X0))) = $true) | (((subcomponents @ X0)) != ((insert @ secrecy_specID @ X2 @ (insert @ secrecy_specID @ X3 @ bot_bot @ set @ secrecy_specID)))) | (((member @ secrecy_chanID @ X1 @ (ins @ X2))) != $true) | (((member @ secrecy_chanID @ X1 @ (loc @ X0))) = $true) | (((correctCompositionIn @ X0)) != $true))),
% 0.54/0.43 inference(flattening,[],[f1144])).
% 0.54/0.43 thf(f1341,plain,(
% 0.54/0.43 ! [X0 : secrecy_chanID,X1 : secrecy_specID,X2 : secrecy_specID,X3 : secrecy_specID] : ((((member @ secrecy_chanID @ X0 @ (ins @ X3))) = $true) | (((insert @ secrecy_specID @ X1 @ (insert @ secrecy_specID @ X2 @ bot_bot @ set @ secrecy_specID))) != ((subcomponents @ X3))) | (((member @ secrecy_chanID @ X0 @ (ins @ X1))) != $true) | ($true = ((member @ secrecy_chanID @ X0 @ (loc @ X3)))) | (((correctCompositionIn @ X3)) != $true))),
% 0.54/0.43 inference(rectify,[],[f1145])).
% 0.54/0.43 thf(f1489,plain,(
% 0.54/0.43 ( ! [X0 : secrecy_chanID] : ((((member @ secrecy_chanID @ X0 @ (ins @ pq))) != $true) | (((exprChannel @ X0 @ m)) != $true)) )),
% 0.54/0.43 inference(cnf_transformation,[],[f1060])).
% 0.54/0.43 thf(f1531,plain,(
% 0.54/0.43 (((subcomponents @ pq)) = ((insert @ secrecy_specID @ p @ (insert @ secrecy_specID @ q @ bot_bot @ set @ secrecy_specID))))),
% 0.54/0.43 inference(cnf_transformation,[],[f5])).
% 0.54/0.43 thf(f1735,plain,(
% 0.54/0.43 (((member @ secrecy_chanID @ ch @ (loc @ pq))) != $true)),
% 0.54/0.43 inference(cnf_transformation,[],[f891])).
% 0.54/0.43 thf(f1736,plain,(
% 0.54/0.43 ( ! [X2 : secrecy_specID,X3 : secrecy_specID,X0 : secrecy_chanID,X1 : secrecy_specID] : ((((insert @ secrecy_specID @ X1 @ (insert @ secrecy_specID @ X2 @ bot_bot @ set @ secrecy_specID))) != ((subcomponents @ X3))) | ($true = ((member @ secrecy_chanID @ X0 @ (loc @ X3)))) | (((correctCompositionIn @ X3)) != $true) | (((member @ secrecy_chanID @ X0 @ (ins @ X1))) != $true) | (((member @ secrecy_chanID @ X0 @ (ins @ X3))) = $true)) )),
% 0.54/0.43 inference(cnf_transformation,[],[f1341])).
% 0.54/0.43 thf(f1837,plain,(
% 0.54/0.43 (((correctCompositionIn @ pq)) = $true)),
% 0.54/0.43 inference(cnf_transformation,[],[f751])).
% 0.54/0.43 thf(f1863,plain,(
% 0.54/0.43 (((member @ secrecy_chanID @ ch @ (ins @ p))) = $true)),
% 0.54/0.43 inference(cnf_transformation,[],[f853])).
% 0.54/0.43 thf(f1937,plain,(
% 0.54/0.43 (((exprChannel @ ch @ m)) = $true)),
% 0.54/0.43 inference(cnf_transformation,[],[f838])).
% 0.54/0.43 thf(f2065,definition,(
% 0.54/0.43 spl64_5 <=> (((subcomponents @ pq)) = ((insert @ secrecy_specID @ p @ (insert @ secrecy_specID @ q @ bot_bot @ set @ secrecy_specID))))),
% 0.54/0.43 introduced(definition,[new_symbols(definition,[spl64_5])],[avatar_definition])).
% 0.54/0.43 thf(f2067,plain,(
% 0.54/0.43 (((subcomponents @ pq)) = ((insert @ secrecy_specID @ p @ (insert @ secrecy_specID @ q @ bot_bot @ set @ secrecy_specID)))) | ~spl64_5),
% 0.54/0.43 inference(avatar_component_clause,[],[f2065])).
% 0.54/0.43 thf(f2068,plain,(
% 0.54/0.43 spl64_5),
% 0.54/0.43 inference(avatar_split_clause,[],[f1531,f2065])).
% 0.54/0.43 thf(f2120,definition,(
% 0.54/0.43 spl64_16 <=> (((correctCompositionIn @ pq)) = $true)),
% 0.54/0.43 introduced(definition,[new_symbols(definition,[spl64_16])],[avatar_definition])).
% 0.54/0.43 thf(f2122,plain,(
% 0.54/0.43 (((correctCompositionIn @ pq)) = $true) | ~spl64_16),
% 0.54/0.43 inference(avatar_component_clause,[],[f2120])).
% 0.54/0.43 thf(f2123,plain,(
% 0.54/0.43 spl64_16),
% 0.54/0.43 inference(avatar_split_clause,[],[f1837,f2120])).
% 0.54/0.43 thf(f2150,definition,(
% 0.54/0.43 spl64_22 <=> (((member @ secrecy_chanID @ ch @ (ins @ p))) = $true)),
% 0.54/0.43 introduced(definition,[new_symbols(definition,[spl64_22])],[avatar_definition])).
% 0.54/0.43 thf(f2152,plain,(
% 0.54/0.43 (((member @ secrecy_chanID @ ch @ (ins @ p))) = $true) | ~spl64_22),
% 0.54/0.43 inference(avatar_component_clause,[],[f2150])).
% 0.54/0.43 thf(f2153,plain,(
% 0.54/0.43 spl64_22),
% 0.54/0.43 inference(avatar_split_clause,[],[f1863,f2150])).
% 0.54/0.43 thf(f2190,definition,(
% 0.54/0.43 spl64_30 <=> (((exprChannel @ ch @ m)) = $true)),
% 0.54/0.43 introduced(definition,[new_symbols(definition,[spl64_30])],[avatar_definition])).
% 0.54/0.43 thf(f2192,plain,(
% 0.54/0.43 (((exprChannel @ ch @ m)) = $true) | ~spl64_30),
% 0.54/0.43 inference(avatar_component_clause,[],[f2190])).
% 0.54/0.43 thf(f2193,plain,(
% 0.54/0.43 spl64_30),
% 0.54/0.43 inference(avatar_split_clause,[],[f1937,f2190])).
% 0.54/0.43 thf(f2235,definition,(
% 0.54/0.43 spl64_39 <=> (((member @ secrecy_chanID @ ch @ (loc @ pq))) = $true)),
% 0.54/0.43 introduced(definition,[new_symbols(definition,[spl64_39])],[avatar_definition])).
% 0.54/0.43 thf(f2237,plain,(
% 0.54/0.43 (((member @ secrecy_chanID @ ch @ (loc @ pq))) != $true) | spl64_39),
% 0.54/0.43 inference(avatar_component_clause,[],[f2235])).
% 0.54/0.43 thf(f2238,plain,(
% 0.54/0.43 ~spl64_39),
% 0.54/0.43 inference(avatar_split_clause,[],[f1735,f2235])).
% 0.54/0.43 thf(f2298,plain,(
% 0.54/0.43 ( ! [X0 : secrecy_specID,X1 : secrecy_chanID] : ((((member @ secrecy_chanID @ X1 @ (loc @ X0))) = $true) | (((member @ secrecy_chanID @ X1 @ (ins @ p))) != $true) | (((member @ secrecy_chanID @ X1 @ (ins @ X0))) = $true) | (((subcomponents @ pq)) != ((subcomponents @ X0))) | (((correctCompositionIn @ X0)) != $true)) ) | ~spl64_5),
% 0.54/0.43 inference(superposition,[],[f1736,f2067])).
% 0.54/0.43 thf(f2412,plain,(
% 0.54/0.43 (((correctCompositionIn @ pq)) != $true) | ($true = ((member @ secrecy_chanID @ ch @ (ins @ pq)))) | ($true != $true) | (((member @ secrecy_chanID @ ch @ (ins @ p))) != $true) | (((subcomponents @ pq)) != ((subcomponents @ pq))) | (~spl64_5 | spl64_39)),
% 0.54/0.43 inference(superposition,[],[f2237,f2298])).
% 0.54/0.43 thf(f2418,plain,(
% 0.54/0.43 (((member @ secrecy_chanID @ ch @ (ins @ p))) != $true) | ($true = ((member @ secrecy_chanID @ ch @ (ins @ pq)))) | (((correctCompositionIn @ pq)) != $true) | (~spl64_5 | spl64_39)),
% 0.54/0.43 inference(trivial_inequality_removal,[],[f2412])).
% 0.54/0.43 thf(f2425,plain,(
% 0.54/0.43 (((correctCompositionIn @ pq)) != $true) | ($true = ((member @ secrecy_chanID @ ch @ (ins @ pq)))) | (~spl64_5 | ~spl64_22 | spl64_39)),
% 0.54/0.43 inference(forward_subsumption_resolution,[],[f2418,f2152])).
% 0.54/0.43 thf(f2427,plain,(
% 0.54/0.43 ($true = ((member @ secrecy_chanID @ ch @ (ins @ pq)))) | (~spl64_5 | ~spl64_16 | ~spl64_22 | spl64_39)),
% 0.54/0.43 inference(forward_subsumption_resolution,[],[f2425,f2122])).
% 0.54/0.43 thf(f2429,definition,(
% 0.54/0.43 spl64_53 <=> ($true = ((member @ secrecy_chanID @ ch @ (ins @ pq))))),
% 0.54/0.43 introduced(definition,[new_symbols(definition,[spl64_53])],[avatar_definition])).
% 0.54/0.43 thf(f2431,plain,(
% 0.54/0.43 ($true = ((member @ secrecy_chanID @ ch @ (ins @ pq)))) | ~spl64_53),
% 0.54/0.43 inference(avatar_component_clause,[],[f2429])).
% 0.54/0.43 thf(f2432,plain,(
% 0.54/0.43 spl64_53 | ~spl64_5 | ~spl64_16 | ~spl64_22 | spl64_39),
% 0.54/0.43 inference(avatar_split_clause,[],[f2427,f2235,f2150,f2120,f2065,f2429])).
% 0.54/0.43 thf(f2433,plain,(
% 0.54/0.43 (((exprChannel @ ch @ m)) != $true) | ($true != $true) | ~spl64_53),
% 0.54/0.43 inference(superposition,[],[f1489,f2431])).
% 0.54/0.43 thf(f2434,plain,(
% 0.54/0.43 (((exprChannel @ ch @ m)) != $true) | ~spl64_53),
% 0.54/0.43 inference(trivial_inequality_removal,[],[f2433])).
% 0.54/0.43 thf(f2435,plain,(
% 0.54/0.43 $false | (~spl64_30 | ~spl64_53)),
% 0.54/0.43 inference(forward_subsumption_resolution,[],[f2434,f2192])).
% 0.54/0.43 thf(f2436,plain,(
% 0.54/0.43 ~spl64_30 | ~spl64_53),
% 0.54/0.43 inference(avatar_contradiction_clause,[],[f2435])).
% 0.54/0.43 cnf(s5, plain, spl64_5, inference(sat_conversion,[],[f2068])).
% 0.54/0.43 cnf(s16, plain, spl64_16, inference(sat_conversion,[],[f2123])).
% 0.54/0.43 cnf(s22, plain, spl64_22, inference(sat_conversion,[],[f2153])).
% 0.54/0.43 cnf(s30, plain, spl64_30, inference(sat_conversion,[],[f2193])).
% 0.54/0.43 cnf(s39, plain, ~spl64_39, inference(sat_conversion,[],[f2238])).
% 0.54/0.43 cnf(s49, plain, ~spl64_5 | ~spl64_16 | ~spl64_22 | spl64_39 | spl64_53, inference(sat_conversion,[],[f2432])).
% 0.54/0.43 cnf(s50, plain, ~spl64_30 | ~spl64_53, inference(sat_conversion,[],[f2436])).
% 0.54/0.43 cnf(s51, plain, ~spl64_53, inference(rat,[],[s50,s30])).
% 0.54/0.43 cnf(s52, plain, ~spl64_5, inference(rat,[],[s49,s51,s39,s22,s16])).
% 0.54/0.43 cnf(s53, plain, $false, inference(rat,[],[s5,s52])).
% 0.54/0.43 thf(f2437,plain,(
% 0.54/0.43 $false),
% 0.54/0.43 inference(avatar_sat_refutation,[],[s53])).
% 0.54/0.43 % SZS output end Proof for theBenchmark
% 0.54/0.43 % (2124033)------------------------------
% 0.54/0.43 % (2124033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (2124033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (2124033)CaDiCaL version: 2.1.3
% 0.54/0.43 % (2124033)Termination reason: Refutation
% 0.54/0.43 % (2124033)Time elapsed: 0.101 s
% 0.54/0.43 % (2124033)Peak memory usage: 15 MB
% 0.54/0.43 % (2124033)Instructions burned: 201 (million)
% 0.54/0.43 % (2124025)Success in time 0.151 s
% 0.54/0.43 % Vampire exiting
%------------------------------------------------------------------------------