%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP091^1 : 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 : n003.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 08:08:18 AM UTC 2026
% Result : Theorem 0.49s 0.43s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP091^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n003.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Sep 29 19:53:59 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running higher-order theorem proving
% 0.21/0.27 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
% 0.49/0.41 % (2977702)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.49/0.41 % (2977711)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2871515361:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.49/0.41 % (2977713)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.49/0.41 % (2977713)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
% 0.49/0.41 % (2977711)Instruction limit reached!
% 0.49/0.41 % (2977711)------------------------------
% 0.49/0.41 % (2977711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.41 % (2977711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.41 % (2977711)CaDiCaL version: 2.1.3
% 0.49/0.41 % (2977711)Termination reason: Instruction limit
% 0.49/0.41 % (2977711)Termination phase: shuffling
% 0.49/0.41 % (2977711)Time elapsed: 0.006 s
% 0.49/0.41 % (2977711)Peak memory usage: 10 MB
% 0.49/0.41 % (2977711)Instructions burned: 25 (million)
% 0.49/0.41 % (2977707)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2338659656:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.49/0.41 % (2977708)lrs+10_16_si=on:nwc=1.5:random_seed=2390342624:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.49/0.41 % (2977710)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=2294832091: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)
% 0.49/0.41 % (2977712)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1116038124:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.49/0.41 % (2977713)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=2890412858:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.49/0.41 % (2977709)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1413279289:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.49/0.41 % (2977709)Instruction limit reached!
% 0.49/0.41 % (2977709)------------------------------
% 0.49/0.41 % (2977709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.41 % (2977709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.41 % (2977709)CaDiCaL version: 2.1.3
% 0.49/0.41 % (2977709)Termination reason: Instruction limit
% 0.49/0.41 % (2977709)Termination phase: shuffling
% 0.49/0.41 % (2977709)Time elapsed: 0.004 s
% 0.49/0.41 % (2977709)Peak memory usage: 10 MB
% 0.49/0.41 % (2977709)Instructions burned: 6 (million)
% 0.49/0.41 % (2977708)Instruction limit reached!
% 0.49/0.41 % (2977708)------------------------------
% 0.49/0.41 % (2977708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.41 % (2977708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.41 % (2977708)CaDiCaL version: 2.1.3
% 0.49/0.41 % (2977708)Termination reason: Instruction limit
% 0.49/0.41 % (2977708)Termination phase: shuffling
% 0.49/0.41 % (2977708)Time elapsed: 0.009 s
% 0.49/0.41 % (2977708)Peak memory usage: 10 MB
% 0.49/0.41 % (2977708)Instructions burned: 20 (million)
% 0.49/0.41 % (2977721)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3931002907:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.49/0.41 % (2977721)Instruction limit reached!
% 0.49/0.41 % (2977721)------------------------------
% 0.49/0.41 % (2977721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.41 % (2977721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.41 % (2977721)CaDiCaL version: 2.1.3
% 0.49/0.41 % (2977721)Termination reason: Instruction limit
% 0.49/0.41 % (2977721)Termination phase: shuffling
% 0.49/0.41 % (2977721)Time elapsed: 0.001 s
% 0.49/0.41 % (2977721)Peak memory usage: 10 MB
% 0.49/0.41 % (2977721)Instructions burned: 3 (million)
% 0.49/0.41 % (2977723)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.49/0.43 % (2977722)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4170920446:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.49/0.43 % (2977725)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3003673706:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.49/0.43 % (2977723)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4208168466:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.49/0.43 % (2977722)Instruction limit reached!
% 0.49/0.43 % (2977722)------------------------------
% 0.49/0.43 % (2977722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (2977722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (2977722)CaDiCaL version: 2.1.3
% 0.49/0.43 % (2977722)Termination reason: Instruction limit
% 0.49/0.43 % (2977722)Termination phase: shuffling
% 0.49/0.43 % (2977722)Time elapsed: 0.004 s
% 0.49/0.43 % (2977722)Peak memory usage: 10 MB
% 0.49/0.43 % (2977722)Instructions burned: 6 (million)
% 0.49/0.43 % (2977725)Instruction limit reached!
% 0.49/0.43 % (2977725)------------------------------
% 0.49/0.43 % (2977725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (2977725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (2977725)CaDiCaL version: 2.1.3
% 0.49/0.43 % (2977725)Termination reason: Instruction limit
% 0.49/0.43 % (2977725)Termination phase: shuffling
% 0.49/0.43 % (2977725)Time elapsed: 0.003 s
% 0.49/0.43 % (2977725)Peak memory usage: 10 MB
% 0.49/0.43 % (2977725)Instructions burned: 14 (million)
% 0.49/0.43 % (2977723)Instruction limit reached!
% 0.49/0.43 % (2977723)------------------------------
% 0.49/0.43 % (2977723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (2977723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (2977723)CaDiCaL version: 2.1.3
% 0.49/0.43 % (2977723)Termination reason: Instruction limit
% 0.49/0.43 % (2977723)Termination phase: shuffling
% 0.49/0.43 % (2977723)Time elapsed: 0.004 s
% 0.49/0.43 % (2977723)Peak memory usage: 10 MB
% 0.49/0.43 % (2977723)Instructions burned: 8 (million)
% 0.49/0.43 % (2977712)Instruction limit reached!
% 0.49/0.43 % (2977712)------------------------------
% 0.49/0.43 % (2977712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (2977712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (2977712)CaDiCaL version: 2.1.3
% 0.49/0.43 % (2977712)Termination reason: Instruction limit
% 0.49/0.43 % (2977712)Termination phase: Preprocessing 3
% 0.49/0.43 % (2977712)Time elapsed: 0.035 s
% 0.49/0.43 % (2977712)Peak memory usage: 12 MB
% 0.49/0.43 % (2977712)Instructions burned: 75 (million)
% 0.49/0.43 % (2977707)Instruction limit reached!
% 0.49/0.43 % (2977707)------------------------------
% 0.49/0.43 % (2977707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (2977707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (2977707)CaDiCaL version: 2.1.3
% 0.49/0.43 % (2977707)Termination reason: Instruction limit
% 0.49/0.43 % (2977707)Termination phase: Property scanning
% 0.49/0.43 % (2977707)Time elapsed: 0.041 s
% 0.49/0.43 % (2977707)Peak memory usage: 12 MB
% 0.49/0.43 % (2977707)Instructions burned: 89 (million)
% 0.49/0.43 % (2977730)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=3687671467:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.49/0.43 % (2977729)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
% 0.49/0.43 % (2977729)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.49/0.43 % (2977729)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1816199377:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.49/0.43 % (2977732)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.49/0.43 % (2977731)lrs+10_1_si=on:cs=on:random_seed=3042449255:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.49/0.43 % (2977732)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=3654507580:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.49/0.43 % (2977731)Instruction limit reached!
% 0.49/0.43 % (2977731)------------------------------
% 0.49/0.43 % (2977731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (2977731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (2977731)CaDiCaL version: 2.1.3
% 0.49/0.43 % (2977731)Termination reason: Instruction limit
% 0.49/0.43 % (2977731)Termination phase: shuffling
% 0.49/0.43 % (2977731)Time elapsed: 0.004 s
% 0.49/0.43 % (2977731)Peak memory usage: 10 MB
% 0.49/0.43 % (2977731)Instructions burned: 8 (million)
% 0.49/0.43 % (2977732)Instruction limit reached!
% 0.49/0.43 % (2977732)------------------------------
% 0.49/0.43 % (2977732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (2977732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (2977732)CaDiCaL version: 2.1.3
% 0.49/0.43 % (2977732)Termination reason: Instruction limit
% 0.49/0.43 % (2977732)Termination phase: shuffling
% 0.49/0.43 % (2977732)Time elapsed: 0.002 s
% 0.49/0.43 % (2977732)Peak memory usage: 10 MB
% 0.49/0.43 % (2977732)Instructions burned: 3 (million)
% 0.49/0.43 % (2977734)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=169681585:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.49/0.43 % (2977730)Instruction limit reached!
% 0.49/0.43 % (2977730)------------------------------
% 0.49/0.43 % (2977730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (2977730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (2977730)CaDiCaL version: 2.1.3
% 0.49/0.43 % (2977730)Termination reason: Instruction limit
% 0.49/0.43 % (2977730)Termination phase: Property scanning
% 0.49/0.43 % (2977730)Time elapsed: 0.019 s
% 0.49/0.43 % (2977730)Peak memory usage: 11 MB
% 0.49/0.43 % (2977730)Instructions burned: 87 (million)
% 0.49/0.43 % (2977729)Instruction limit reached!
% 0.49/0.43 % (2977729)------------------------------
% 0.49/0.43 % (2977729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (2977729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (2977729)CaDiCaL version: 2.1.3
% 0.49/0.43 % (2977729)Termination reason: Instruction limit
% 0.49/0.43 % (2977729)Termination phase: shuffling
% 0.49/0.43 % (2977729)Time elapsed: 0.013 s
% 0.49/0.43 % (2977729)Peak memory usage: 11 MB
% 0.49/0.43 % (2977729)Instructions burned: 28 (million)
% 0.49/0.43 % (2977713)Instruction limit reached!
% 0.49/0.43 % (2977713)------------------------------
% 0.49/0.43 % (2977713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (2977713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (2977713)CaDiCaL version: 2.1.3
% 0.49/0.43 % (2977713)Termination reason: Instruction limit
% 0.49/0.43 % (2977713)Termination phase: Saturation
% 0.49/0.43 % (2977713)Time elapsed: 0.069 s
% 0.49/0.43 % (2977713)Peak memory usage: 13 MB
% 0.49/0.43 % (2977713)Instructions burned: 157 (million)
% 0.49/0.43 % (2977741)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4168182598:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.49/0.43 % (2977741)Instruction limit reached!
% 0.49/0.43 % (2977741)------------------------------
% 0.49/0.43 % (2977741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (2977741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (2977741)CaDiCaL version: 2.1.3
% 0.49/0.43 % (2977741)Termination reason: Instruction limit
% 0.49/0.43 % (2977741)Termination phase: shuffling
% 0.49/0.43 % (2977741)Time elapsed: 0.004 s
% 0.49/0.43 % (2977741)Peak memory usage: 10 MB
% 0.49/0.43 % (2977741)Instructions burned: 17 (million)
% 0.49/0.43 % (2977738)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=502108161:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.49/0.43 % (2977739)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=237354295:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.49/0.43 % (2977734)Instruction limit reached!
% 0.49/0.43 % (2977734)------------------------------
% 0.49/0.43 % (2977734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (2977734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (2977734)CaDiCaL version: 2.1.3
% 0.49/0.43 % (2977734)Termination reason: Instruction limit
% 0.49/0.43 % (2977734)Termination phase: Property scanning
% 0.49/0.43 % (2977734)Time elapsed: 0.017 s
% 0.49/0.43 % (2977734)Peak memory usage: 10 MB
% 0.49/0.43 % (2977734)Instructions burned: 38 (million)
% 0.49/0.43 % (2977742)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3228307876:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.49/0.43 % (2977746)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=619853369: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)
% 0.49/0.43 % (2977746)Instruction limit reached!
% 0.49/0.43 % (2977746)------------------------------
% 0.49/0.43 % (2977746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (2977746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (2977746)CaDiCaL version: 2.1.3
% 0.49/0.43 % (2977746)Termination reason: Instruction limit
% 0.49/0.43 % (2977746)Termination phase: shuffling
% 0.49/0.43 % (2977746)Time elapsed: 0.001 s
% 0.49/0.43 % (2977746)Peak memory usage: 10 MB
% 0.49/0.43 % (2977746)Instructions burned: 3 (million)
% 0.49/0.43 % (2977743)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3025530138:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.49/0.43 % (2977710) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2977702-2977710"...
% 0.49/0.43 % (2977739)Instruction limit reached!
% 0.49/0.43 % (2977739)------------------------------
% 0.49/0.43 % (2977739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (2977739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (2977739)CaDiCaL version: 2.1.3
% 0.49/0.43 % (2977739)Termination reason: Instruction limit
% 0.49/0.43 % (2977739)Termination phase: Property scanning
% 0.49/0.43 % (2977739)Time elapsed: 0.012 s
% 0.49/0.43 % (2977739)Peak memory usage: 10 MB
% 0.49/0.43 % (2977739)Instructions burned: 27 (million)
% 0.49/0.43 % (2977710)...printing done.
% 0.49/0.43 % (2977710)Refutation found. Thanks to Tanya!
% 0.49/0.43 % SZS status Theorem for theBenchmark
% 0.49/0.43 % SZS output start Proof for theBenchmark
% 0.49/0.43 thf(type_def_5, type, list_S529945141ession: $tType).
% 0.49/0.43 thf(type_def_6, type, set_Secrecy_Secrets: $tType).
% 0.49/0.43 thf(type_def_7, type, set_Secrecy_specID: $tType).
% 0.49/0.43 thf(type_def_8, type, set_Secrecy_chanID: $tType).
% 0.49/0.43 thf(type_def_9, type, set_Secrecy_Keys: $tType).
% 0.49/0.43 thf(type_def_10, type, set_Secrecy_KS: $tType).
% 0.49/0.43 thf(type_def_11, type, secrecy_Expression: $tType).
% 0.49/0.43 thf(type_def_12, type, secrecy_Secrets: $tType).
% 0.49/0.43 thf(type_def_13, type, secrecy_specID: $tType).
% 0.49/0.43 thf(type_def_14, type, secrecy_chanID: $tType).
% 0.49/0.43 thf(type_def_15, type, secrecy_Keys: $tType).
% 0.49/0.43 thf(type_def_16, type, secrecy_KS: $tType).
% 0.49/0.43 thf(type_def_17, type, nat: $tType).
% 0.49/0.43 thf(type_def_18, type, sTfun: ($tType * $tType) > $tType).
% 0.49/0.43 thf(func_def_0, type, localSecrets: (secrecy_specID > set_Secrecy_KS)).
% 0.49/0.43 thf(func_def_1, type, knowle233900195orrect: (secrecy_specID > secrecy_KS > $o)).
% 0.49/0.43 thf(func_def_2, type, knowle945212990e_know: (secrecy_specID > secrecy_KS > $o)).
% 0.49/0.43 thf(func_def_3, type, sup_su1301156759ecy_KS: (set_Secrecy_KS > set_Secrecy_KS > set_Secrecy_KS)).
% 0.49/0.43 thf(func_def_4, type, sup_su552545507y_Keys: (set_Secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys)).
% 0.49/0.43 thf(func_def_5, type, sup_su1029080330ecrets: (set_Secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets)).
% 0.49/0.43 thf(func_def_6, type, sup_su370684444chanID: (set_Secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID)).
% 0.49/0.43 thf(func_def_7, type, sup_su1712599557specID: (set_Secrecy_specID > set_Secrecy_specID > set_Secrecy_specID)).
% 0.49/0.43 thf(func_def_8, type, mem_Se1967555118ession: (secrecy_Expression > list_S529945141ession > $o)).
% 0.49/0.43 thf(func_def_9, type, bot_bot_Secrecy_KS_o: (secrecy_KS > $o)).
% 0.49/0.43 thf(func_def_10, type, bot_bo2072920570Keys_o: (secrecy_Keys > $o)).
% 0.49/0.43 thf(func_def_11, type, bot_bo1909946299rets_o: (secrecy_Secrets > $o)).
% 0.49/0.43 thf(func_def_12, type, bot_bo1012329985anID_o: (secrecy_chanID > $o)).
% 0.49/0.43 thf(func_def_13, type, bot_bo1767780696ecID_o: (secrecy_specID > $o)).
% 0.49/0.43 thf(func_def_14, type, bot_bo1943466239ecy_KS: set_Secrecy_KS).
% 0.49/0.43 thf(func_def_15, type, bot_bo701486667y_Keys: set_Secrecy_Keys).
% 0.49/0.43 thf(func_def_16, type, bot_bo1124690338ecrets: set_Secrecy_Secrets).
% 0.49/0.43 thf(func_def_17, type, bot_bo443197316chanID: set_Secrecy_chanID).
% 0.49/0.43 thf(func_def_18, type, bot_bo1785112429specID: set_Secrecy_specID).
% 0.49/0.43 thf(func_def_19, type, ord_le1802272080chanID: (set_Secrecy_chanID > set_Secrecy_chanID > $o)).
% 0.49/0.43 thf(func_def_20, type, correctCompositionKS: (secrecy_specID > $o)).
% 0.49/0.43 thf(func_def_21, type, eout: (secrecy_specID > secrecy_Expression > $o)).
% 0.49/0.43 thf(func_def_22, type, eoutM: (secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o)).
% 0.49/0.43 thf(func_def_23, type, exprChannel: (secrecy_chanID > secrecy_Expression > $o)).
% 0.49/0.43 thf(func_def_24, type, ine: (secrecy_specID > secrecy_Expression > $o)).
% 0.49/0.43 thf(func_def_25, type, ineM: (secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o)).
% 0.49/0.43 thf(func_def_26, type, ine_exprChannelSet: (secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o)).
% 0.49/0.43 thf(func_def_27, type, ine_ex1303305700Single: (secrecy_specID > secrecy_chanID > secrecy_Expression > $o)).
% 0.49/0.43 thf(func_def_28, type, notSpe1586871396tsExpr: (secrecy_specID > list_S529945141ession > $o)).
% 0.49/0.43 thf(func_def_29, type, out_exprChannelSet: (secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o)).
% 0.49/0.43 thf(func_def_30, type, out_ex985543062Single: (secrecy_specID > secrecy_chanID > secrecy_Expression > $o)).
% 0.49/0.43 thf(func_def_31, type, specKeys: (secrecy_specID > set_Secrecy_Keys)).
% 0.49/0.43 thf(func_def_32, type, specKeysSecrets: (secrecy_specID > set_Secrecy_KS)).
% 0.49/0.43 thf(func_def_33, type, specSecrets: (secrecy_specID > set_Secrecy_Secrets)).
% 0.49/0.43 thf(func_def_34, type, secrecy_kE: (secrecy_Keys > secrecy_Expression)).
% 0.49/0.43 thf(func_def_35, type, secrecy_sE: (secrecy_Secrets > secrecy_Expression)).
% 0.49/0.43 thf(func_def_36, type, secrec1016742679ession: (secrecy_KS > secrecy_Expression)).
% 0.49/0.43 thf(func_def_37, type, secrecy_kKS: (secrecy_Keys > secrecy_KS)).
% 0.49/0.43 thf(func_def_38, type, secrecy_sKS: (secrecy_Secrets > secrecy_KS)).
% 0.49/0.43 thf(func_def_39, type, collect_Secrecy_KS: ((secrecy_KS > $o) > set_Secrecy_KS)).
% 0.49/0.43 thf(func_def_40, type, collect_Secrecy_Keys: ((secrecy_Keys > $o) > set_Secrecy_Keys)).
% 0.49/0.43 thf(func_def_41, type, collec836099393ecrets: ((secrecy_Secrets > $o) > set_Secrecy_Secrets)).
% 0.49/0.43 thf(func_def_42, type, collec625564175chanID: ((secrecy_chanID > $o) > set_Secrecy_chanID)).
% 0.49/0.43 thf(func_def_43, type, collec1545797240specID: ((secrecy_specID > $o) > set_Secrecy_specID)).
% 0.49/0.43 thf(func_def_44, type, insert_Secrecy_KS: (secrecy_KS > set_Secrecy_KS > set_Secrecy_KS)).
% 0.49/0.43 thf(func_def_45, type, insert_Secrecy_Keys: (secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys)).
% 0.49/0.43 thf(func_def_46, type, insert565337510ecrets: (secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets)).
% 0.49/0.43 thf(func_def_47, type, insert751661162chanID: (secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID)).
% 0.49/0.43 thf(func_def_48, type, insert1671894227specID: (secrecy_specID > set_Secrecy_specID > set_Secrecy_specID)).
% 0.49/0.43 thf(func_def_49, type, is_emp928984296chanID: (set_Secrecy_chanID > $o)).
% 0.49/0.43 thf(func_def_50, type, is_emp1849217361specID: (set_Secrecy_specID > $o)).
% 0.49/0.43 thf(func_def_51, type, is_sin1442426433ecy_KS: (set_Secrecy_KS > $o)).
% 0.49/0.43 thf(func_def_52, type, is_sin1096471309y_Keys: (set_Secrecy_Keys > $o)).
% 0.49/0.43 thf(func_def_53, type, is_sin1002224330ecrets: (set_Secrecy_Secrets > $o)).
% 0.49/0.43 thf(func_def_54, type, is_sin581274182chanID: (set_Secrecy_chanID > $o)).
% 0.49/0.43 thf(func_def_55, type, is_sin1501507247specID: (set_Secrecy_specID > $o)).
% 0.49/0.43 thf(func_def_56, type, the_el2054381829chanID: (set_Secrecy_chanID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_57, type, the_el827131246specID: (set_Secrecy_specID > secrecy_specID)).
% 0.49/0.43 thf(func_def_58, type, correctCompositionIn: (secrecy_specID > $o)).
% 0.49/0.43 thf(func_def_59, type, correc965049635ionLoc: (secrecy_specID > $o)).
% 0.49/0.43 thf(func_def_60, type, correc990227761ionOut: (secrecy_specID > $o)).
% 0.49/0.43 thf(func_def_61, type, inStream: (secrecy_specID > set_Secrecy_chanID > $o)).
% 0.49/0.43 thf(func_def_62, type, ins: (secrecy_specID > set_Secrecy_chanID)).
% 0.49/0.43 thf(func_def_63, type, loc: (secrecy_specID > set_Secrecy_chanID)).
% 0.49/0.43 thf(func_def_64, type, locStream: (secrecy_specID > set_Secrecy_chanID > $o)).
% 0.49/0.43 thf(func_def_65, type, out: (secrecy_specID > set_Secrecy_chanID)).
% 0.49/0.43 thf(func_def_66, type, outStream: (secrecy_specID > set_Secrecy_chanID > $o)).
% 0.49/0.43 thf(func_def_67, type, subcomponents: (secrecy_specID > set_Secrecy_specID)).
% 0.49/0.43 thf(func_def_68, type, member_Secrecy_KS: (secrecy_KS > set_Secrecy_KS > $o)).
% 0.49/0.43 thf(func_def_69, type, member_Secrecy_Keys: (secrecy_Keys > set_Secrecy_Keys > $o)).
% 0.49/0.43 thf(func_def_70, type, member2138796287ecrets: (secrecy_Secrets > set_Secrecy_Secrets > $o)).
% 0.49/0.43 thf(func_def_71, type, member1967978193chanID: (secrecy_chanID > set_Secrecy_chanID > $o)).
% 0.49/0.43 thf(func_def_72, type, member740727610specID: (secrecy_specID > set_Secrecy_specID > $o)).
% 0.49/0.43 thf(func_def_73, type, p: secrecy_specID).
% 0.49/0.43 thf(func_def_74, type, pq: secrecy_specID).
% 0.49/0.43 thf(func_def_75, type, q: secrecy_specID).
% 0.49/0.43 thf(func_def_76, type, m: secrecy_KS).
% 0.49/0.43 thf(func_def_77, type, secret: secrecy_Secrets).
% 0.49/0.43 thf(func_def_81, type, db0: !>[X0: $tType]:(X0)).
% 0.49/0.43 thf(func_def_82, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.49/0.43 thf(func_def_83, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.49/0.43 thf(func_def_84, type, vAND: ($o > $o > $o)).
% 0.49/0.43 thf(func_def_85, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.49/0.43 thf(func_def_86, type, vIMP: ($o > $o > $o)).
% 0.49/0.43 thf(func_def_87, type, db1: !>[X0: $tType]:(X0)).
% 0.49/0.43 thf(func_def_88, type, vNOT: ($o > $o)).
% 0.49/0.43 thf(func_def_89, type, db2: !>[X0: $tType]:(X0)).
% 0.49/0.43 thf(func_def_90, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.49/0.43 thf(func_def_91, type, db3: !>[X0: $tType]:(X0)).
% 0.49/0.43 thf(func_def_92, type, sK0: (set_Secrecy_specID > secrecy_specID)).
% 0.49/0.43 thf(func_def_93, type, sK1: (set_Secrecy_specID > secrecy_specID)).
% 0.49/0.43 thf(func_def_94, type, sK2: (secrecy_specID > set_Secrecy_chanID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_95, type, sK3: (set_Secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_96, type, sK4: ((secrecy_chanID > $o) > set_Secrecy_chanID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_97, type, sK5: ((secrecy_chanID > $o) > set_Secrecy_chanID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_98, type, sK6: ((secrecy_chanID > $o) > set_Secrecy_chanID > set_Secrecy_chanID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_99, type, sK7: (secrecy_specID > set_Secrecy_specID > set_Secrecy_specID)).
% 0.49/0.43 thf(func_def_100, type, sK8: (secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets)).
% 0.49/0.43 thf(func_def_101, type, sK9: (secrecy_KS > secrecy_Keys)).
% 0.49/0.43 thf(func_def_102, type, sK10: (secrecy_KS > secrecy_Secrets)).
% 0.49/0.43 thf(func_def_103, type, sK11: (secrecy_specID > set_Secrecy_chanID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_104, type, sK12: (set_Secrecy_Secrets > secrecy_Secrets)).
% 0.49/0.43 thf(func_def_105, type, sK13: (secrecy_specID > secrecy_Keys > secrecy_chanID)).
% 0.49/0.43 thf(func_def_106, type, sK14: (set_Secrecy_specID > secrecy_specID)).
% 0.49/0.43 thf(func_def_107, type, sK15: ((secrecy_KS > $o) > set_Secrecy_KS > secrecy_KS)).
% 0.49/0.43 thf(func_def_108, type, sK16: ((secrecy_KS > $o) > set_Secrecy_KS > secrecy_KS)).
% 0.49/0.43 thf(func_def_109, type, sK17: ((secrecy_KS > $o) > set_Secrecy_KS > set_Secrecy_KS > secrecy_KS)).
% 0.49/0.43 thf(func_def_110, type, sK18: (set_Secrecy_chanID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_111, type, sK19: (secrecy_specID > secrecy_specID > secrecy_KS > secrecy_Secrets)).
% 0.49/0.43 thf(func_def_112, type, sK20: (secrecy_specID > secrecy_specID > secrecy_KS > secrecy_Keys)).
% 0.49/0.43 thf(func_def_113, type, sK21: (set_Secrecy_KS > secrecy_KS)).
% 0.49/0.43 thf(func_def_114, type, sK22: (secrecy_Keys > secrecy_specID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_115, type, sK23: (set_Secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_116, type, sK24: (set_Secrecy_Secrets > secrecy_Secrets > set_Secrecy_Secrets)).
% 0.49/0.43 thf(func_def_117, type, sK25: (set_Secrecy_KS > secrecy_KS > set_Secrecy_KS)).
% 0.49/0.43 thf(func_def_118, type, sK26: (secrecy_specID > secrecy_Secrets > secrecy_chanID)).
% 0.49/0.43 thf(func_def_119, type, sK27: (secrecy_Keys > secrecy_specID > secrecy_specID)).
% 0.49/0.43 thf(func_def_120, type, sK28: ((secrecy_chanID > $o) > secrecy_chanID)).
% 0.49/0.43 thf(func_def_121, type, sK29: (set_Secrecy_chanID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_122, type, sK30: ((secrecy_KS > $o) > secrecy_Keys)).
% 0.49/0.43 thf(func_def_123, type, sK31: ((secrecy_KS > $o) > secrecy_Secrets)).
% 0.49/0.43 thf(func_def_124, type, sK32: (secrecy_Secrets > secrecy_specID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_125, type, sK33: (secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys)).
% 0.49/0.43 thf(func_def_126, type, sK34: ((secrecy_chanID > $o) > secrecy_chanID)).
% 0.49/0.43 thf(func_def_127, type, sK35: (set_Secrecy_Secrets > secrecy_Secrets)).
% 0.49/0.43 thf(func_def_128, type, sK36: (set_Secrecy_Secrets > secrecy_Secrets)).
% 0.49/0.43 thf(func_def_129, type, sK37: (set_Secrecy_chanID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_130, type, sK38: (set_Secrecy_chanID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_131, type, sK39: (secrecy_specID > set_Secrecy_chanID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_132, type, sK40: (set_Secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_133, type, sK41: ((secrecy_specID > $o) > secrecy_specID)).
% 0.49/0.43 thf(func_def_134, type, sK42: (secrecy_specID > set_Secrecy_chanID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_135, type, sK43: (secrecy_specID > set_Secrecy_chanID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_136, type, sK44: (secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets > secrecy_Secrets > set_Secrecy_Secrets)).
% 0.49/0.43 thf(func_def_137, type, sK45: (set_Secrecy_chanID > secrecy_chanID > set_Secrecy_chanID)).
% 0.49/0.43 thf(func_def_138, type, sK46: (secrecy_specID > secrecy_Secrets > secrecy_specID)).
% 0.49/0.43 thf(func_def_139, type, sK47: (set_Secrecy_KS > secrecy_KS)).
% 0.49/0.43 thf(func_def_140, type, sK48: (secrecy_specID > set_Secrecy_specID > set_Secrecy_specID)).
% 0.49/0.43 thf(func_def_141, type, sK49: (set_Secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_142, type, sK50: (set_Secrecy_Keys > secrecy_Keys)).
% 0.49/0.43 thf(func_def_143, type, sK51: (set_Secrecy_specID > secrecy_specID)).
% 0.49/0.43 thf(func_def_144, type, sK52: (secrecy_KS > secrecy_KS > set_Secrecy_KS > set_Secrecy_KS > set_Secrecy_KS)).
% 0.49/0.43 thf(func_def_145, type, sK53: (secrecy_specID > set_Secrecy_specID > set_Secrecy_specID > secrecy_specID > set_Secrecy_specID)).
% 0.49/0.43 thf(func_def_146, type, sK54: (set_Secrecy_specID > secrecy_specID)).
% 0.49/0.43 thf(func_def_147, type, sK55: (set_Secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_148, type, sK56: (set_Secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_149, type, sK57: (secrecy_Keys > set_Secrecy_Keys > secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys)).
% 0.49/0.43 thf(func_def_150, type, sK58: (set_Secrecy_Keys > secrecy_Keys)).
% 0.49/0.43 thf(func_def_151, type, sK59: (set_Secrecy_Keys > secrecy_Keys)).
% 0.49/0.43 thf(func_def_152, type, sK60: (set_Secrecy_chanID > secrecy_chanID > set_Secrecy_chanID)).
% 0.49/0.43 thf(func_def_153, type, sK61: ((secrecy_specID > $o) > secrecy_specID)).
% 0.49/0.43 thf(func_def_154, type, sK62: (set_Secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_155, type, sK63: (secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID > secrecy_chanID > set_Secrecy_chanID)).
% 0.49/0.43 thf(func_def_156, type, sK64: (set_Secrecy_KS > set_Secrecy_KS > (secrecy_KS > $o) > secrecy_KS)).
% 0.49/0.43 thf(func_def_157, type, sK65: (set_Secrecy_KS > (secrecy_KS > $o) > secrecy_KS)).
% 0.49/0.43 thf(func_def_158, type, sK66: (set_Secrecy_KS > (secrecy_KS > $o) > secrecy_KS)).
% 0.49/0.43 thf(func_def_159, type, sK67: (set_Secrecy_chanID > (secrecy_chanID > $o) > secrecy_chanID)).
% 0.49/0.43 thf(func_def_160, type, sK68: (set_Secrecy_chanID > (secrecy_chanID > $o) > secrecy_chanID)).
% 0.49/0.43 thf(func_def_161, type, sK69: (set_Secrecy_chanID > set_Secrecy_chanID > (secrecy_chanID > $o) > secrecy_chanID)).
% 0.49/0.43 thf(func_def_162, type, sK70: (set_Secrecy_Secrets > secrecy_Secrets)).
% 0.49/0.43 thf(func_def_163, type, sK71: (set_Secrecy_Secrets > secrecy_Secrets)).
% 0.49/0.43 thf(func_def_164, type, sK72: (set_Secrecy_KS > secrecy_KS)).
% 0.49/0.43 thf(func_def_165, type, sK73: (set_Secrecy_KS > secrecy_KS)).
% 0.49/0.43 thf(func_def_166, type, sK74: (secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys)).
% 0.49/0.43 thf(func_def_167, type, sK75: (set_Secrecy_chanID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_168, type, sK76: (set_Secrecy_Keys > secrecy_Keys)).
% 0.49/0.43 thf(func_def_169, type, sK77: (secrecy_specID > secrecy_specID > secrecy_KS > secrecy_Keys)).
% 0.49/0.43 thf(func_def_170, type, sK78: (secrecy_specID > secrecy_specID > secrecy_KS > secrecy_Secrets)).
% 0.49/0.43 thf(func_def_171, type, sK79: (set_Secrecy_specID > secrecy_specID)).
% 0.49/0.43 thf(func_def_172, type, sK80: (secrecy_specID > secrecy_Expression > secrecy_chanID)).
% 0.49/0.43 thf(func_def_173, type, sK81: (set_Secrecy_Keys > secrecy_Keys)).
% 0.49/0.43 thf(func_def_174, type, sK82: (secrecy_KS > set_Secrecy_KS > set_Secrecy_KS)).
% 0.49/0.43 thf(func_def_175, type, sK83: (set_Secrecy_KS > secrecy_KS)).
% 0.49/0.43 thf(func_def_176, type, sK84: (set_Secrecy_chanID > secrecy_chanID)).
% 0.49/0.43 thf(func_def_178, type, inv_secrecy_sKS_86: (secrecy_KS > secrecy_Secrets)).
% 0.49/0.43 thf(f1,axiom,(
% 0.49/0.43 ~(knowle945212990e_know @ q @ m)),
% 0.49/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_not__knowQm)).
% 0.49/0.43 thf(f2,axiom,(
% 0.49/0.43 (m = ((secrecy_sKS @ secret)))),
% 0.49/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_a2)).
% 0.49/0.43 thf(f9,axiom,(
% 0.49/0.43 ! [X0 : secrecy_specID,X1 : secrecy_Secrets] : ((member_Secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X0)) | (ine @ X0 @ (secrecy_sE @ X1)) = ((knowle945212990e_know @ X0 @ (secrecy_sKS @ X1))))),
% 0.49/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_know_Osimps_I2_J)).
% 0.49/0.43 thf(f356,conjecture,(
% 0.49/0.43 ~(member_Secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))),
% 0.49/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.49/0.43 thf(f357,negated_conjecture,(
% 0.49/0.43 ~ ~(member_Secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))),
% 0.49/0.43 inference(negated_conjecture,[status(cth)],[f356])).
% 0.49/0.43 thf(f451,plain,(
% 0.49/0.43 ~ ~(member_Secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))),
% 0.49/0.43 inference(rectify,[],[f357])).
% 0.49/0.43 thf(f452,plain,(
% 0.49/0.43 ~ ~ (((member_Secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))) = $true)),
% 0.49/0.43 inference(fool_elimination,[],[f451])).
% 0.49/0.43 thf(f520,plain,(
% 0.49/0.43 ! [X0 : secrecy_specID,X1 : secrecy_Secrets] : ((member_Secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X0)) | (ine @ X0 @ (secrecy_sE @ X1)) = ((knowle945212990e_know @ X0 @ (secrecy_sKS @ X1))))),
% 0.49/0.43 inference(rectify,[],[f9])).
% 0.49/0.43 thf(f521,plain,(
% 0.49/0.43 ! [X1 : secrecy_Secrets,X0 : secrecy_specID] : ((((knowle945212990e_know @ X0 @ (secrecy_sKS @ X1))) = $true) <=> ((((member_Secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X0))) = $true) | (((ine @ X0 @ (secrecy_sE @ X1))) = $true)))),
% 0.49/0.43 inference(fool_elimination,[],[f520])).
% 0.49/0.43 thf(f785,plain,(
% 0.49/0.43 ~(knowle945212990e_know @ q @ m)),
% 0.49/0.43 inference(rectify,[],[f1])).
% 0.49/0.43 thf(f786,plain,(
% 0.49/0.43 ~ (((knowle945212990e_know @ q @ m)) = $true)),
% 0.49/0.43 inference(fool_elimination,[],[f785])).
% 0.49/0.43 thf(f953,plain,(
% 0.49/0.43 (((member_Secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))) = $true)),
% 0.49/0.43 inference(flattening,[],[f452])).
% 0.49/0.43 thf(f1040,plain,(
% 0.49/0.43 (((knowle945212990e_know @ q @ m)) != $true)),
% 0.49/0.43 inference(flattening,[],[f786])).
% 0.49/0.43 thf(f1382,plain,(
% 0.49/0.43 ! [X1 : secrecy_Secrets,X0 : secrecy_specID] : (((((knowle945212990e_know @ X0 @ (secrecy_sKS @ X1))) = $true) | ((((member_Secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X0))) != $true) & (((ine @ X0 @ (secrecy_sE @ X1))) != $true))) & (((((member_Secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X0))) = $true) | (((ine @ X0 @ (secrecy_sE @ X1))) = $true)) | (((knowle945212990e_know @ X0 @ (secrecy_sKS @ X1))) != $true)))),
% 0.49/0.43 inference(nnf_transformation,[],[f521])).
% 0.49/0.43 thf(f1383,plain,(
% 0.49/0.43 ! [X1 : secrecy_Secrets,X0 : secrecy_specID] : (((((knowle945212990e_know @ X0 @ (secrecy_sKS @ X1))) = $true) | ((((member_Secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X0))) != $true) & (((ine @ X0 @ (secrecy_sE @ X1))) != $true))) & ((((member_Secrecy_KS @ (secrecy_sKS @ X1) @ (localSecrets @ X0))) = $true) | (((ine @ X0 @ (secrecy_sE @ X1))) = $true) | (((knowle945212990e_know @ X0 @ (secrecy_sKS @ X1))) != $true)))),
% 0.49/0.43 inference(flattening,[],[f1382])).
% 0.49/0.43 thf(f1384,plain,(
% 0.49/0.43 ! [X0 : secrecy_Secrets,X1 : secrecy_specID] : (((((knowle945212990e_know @ X1 @ (secrecy_sKS @ X0))) = $true) | ((((member_Secrecy_KS @ (secrecy_sKS @ X0) @ (localSecrets @ X1))) != $true) & (((ine @ X1 @ (secrecy_sE @ X0))) != $true))) & ((((member_Secrecy_KS @ (secrecy_sKS @ X0) @ (localSecrets @ X1))) = $true) | (((ine @ X1 @ (secrecy_sE @ X0))) = $true) | (((knowle945212990e_know @ X1 @ (secrecy_sKS @ X0))) != $true)))),
% 0.49/0.43 inference(rectify,[],[f1383])).
% 0.49/0.43 thf(f1776,plain,(
% 0.49/0.43 ( ! [X0 : secrecy_Secrets,X1 : secrecy_specID] : ((((member_Secrecy_KS @ (secrecy_sKS @ X0) @ (localSecrets @ X1))) != $true) | (((knowle945212990e_know @ X1 @ (secrecy_sKS @ X0))) = $true)) )),
% 0.49/0.43 inference(cnf_transformation,[],[f1384])).
% 0.49/0.43 thf(f1799,plain,(
% 0.49/0.43 (((member_Secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))) = $true)),
% 0.49/0.43 inference(cnf_transformation,[],[f953])).
% 0.49/0.43 thf(f1985,plain,(
% 0.49/0.43 (m = ((secrecy_sKS @ secret)))),
% 0.49/0.43 inference(cnf_transformation,[],[f2])).
% 0.49/0.43 thf(f1993,plain,(
% 0.49/0.43 (((knowle945212990e_know @ q @ m)) != $true)),
% 0.49/0.43 inference(cnf_transformation,[],[f1040])).
% 0.49/0.43 thf(f2592,definition,(
% 0.49/0.43 spl85_1 <=> (m = ((secrecy_sKS @ secret)))),
% 0.49/0.43 introduced(definition,[new_symbols(definition,[spl85_1])],[avatar_definition])).
% 0.49/0.43 thf(f2595,plain,(
% 0.49/0.43 spl85_1),
% 0.49/0.43 inference(avatar_split_clause,[],[f1985,f2592])).
% 0.49/0.43 thf(f2662,definition,(
% 0.49/0.43 spl85_15 <=> (((member_Secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))) = $true)),
% 0.49/0.43 introduced(definition,[new_symbols(definition,[spl85_15])],[avatar_definition])).
% 0.49/0.43 thf(f2664,plain,(
% 0.49/0.43 (((member_Secrecy_KS @ (secrecy_sKS @ secret) @ (localSecrets @ q))) = $true) | ~spl85_15),
% 0.49/0.43 inference(avatar_component_clause,[],[f2662])).
% 0.49/0.43 thf(f2665,plain,(
% 0.49/0.43 spl85_15),
% 0.49/0.43 inference(avatar_split_clause,[],[f1799,f2662])).
% 0.49/0.43 thf(f2792,definition,(
% 0.49/0.43 spl85_41 <=> (((knowle945212990e_know @ q @ m)) = $true)),
% 0.49/0.43 introduced(definition,[new_symbols(definition,[spl85_41])],[avatar_definition])).
% 0.49/0.43 thf(f2795,plain,(
% 0.49/0.43 ~spl85_41),
% 0.49/0.43 inference(avatar_split_clause,[],[f1993,f2792])).
% 0.49/0.43 thf(f2810,plain,(
% 0.49/0.43 (((knowle945212990e_know @ q @ (secrecy_sKS @ secret))) = $true) | ($true != $true) | ~spl85_15),
% 0.49/0.43 inference(superposition,[],[f1776,f2664])).
% 0.49/0.43 thf(f2813,plain,(
% 0.49/0.43 (((knowle945212990e_know @ q @ (secrecy_sKS @ secret))) = $true) | ~spl85_15),
% 0.49/0.43 inference(trivial_inequality_removal,[],[f2810])).
% 0.49/0.43 thf(f2820,definition,(
% 0.49/0.43 spl85_45 <=> (((knowle945212990e_know @ q @ (secrecy_sKS @ secret))) = $true)),
% 0.49/0.43 introduced(definition,[new_symbols(definition,[spl85_45])],[avatar_definition])).
% 0.49/0.43 thf(f2823,plain,(
% 0.49/0.43 spl85_45 | ~spl85_15),
% 0.49/0.43 inference(avatar_split_clause,[],[f2813,f2662,f2820])).
% 0.49/0.43 thf(f2824,definition,(
% 0.49/0.43 (m != ((secrecy_sKS @ secret))) | (((knowle945212990e_know @ q @ (secrecy_sKS @ secret))) != $true) | (((knowle945212990e_know @ q @ m)) = $true)),
% 0.49/0.43 introduced(theory,[theory_tautology_sat_conflict])).
% 0.49/0.43 cnf(s1, plain, spl85_1, inference(sat_conversion,[],[f2595])).
% 0.49/0.43 cnf(s16, plain, spl85_15, inference(sat_conversion,[],[f2665])).
% 0.49/0.43 cnf(s49, plain, ~spl85_41, inference(sat_conversion,[],[f2795])).
% 0.49/0.43 cnf(s53, plain, ~spl85_15 | spl85_45, inference(sat_conversion,[],[f2823])).
% 0.49/0.43 cnf(s54, plain, ~spl85_1 | spl85_41 | ~spl85_45, inference(sat_conversion,[],[f2824])).
% 0.49/0.43 cnf(s56, plain, spl85_45, inference(rat,[],[s53,s16])).
% 0.49/0.43 cnf(s57, plain, ~spl85_1, inference(rat,[],[s54,s49,s56])).
% 0.49/0.43 cnf(s58, plain, $false, inference(rat,[],[s1,s57])).
% 0.49/0.43 thf(f2825,plain,(
% 0.49/0.43 $false),
% 0.49/0.43 inference(avatar_sat_refutation,[],[s58])).
% 0.49/0.43 % SZS output end Proof for theBenchmark
% 0.49/0.43 % (2977710)------------------------------
% 0.49/0.43 % (2977710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (2977710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (2977710)CaDiCaL version: 2.1.3
% 0.49/0.43 % (2977710)Termination reason: Refutation
% 0.49/0.43 % (2977710)Time elapsed: 0.091 s
% 0.49/0.43 % (2977710)Peak memory usage: 15 MB
% 0.49/0.43 % (2977710)Instructions burned: 196 (million)
% 0.49/0.43 % (2977702)Success in time 0.148 s
% 0.49/0.43 % Vampire exiting
%------------------------------------------------------------------------------