%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP087^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 0.91s 0.54s
% Output : Refutation 0.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP087^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n005.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 19:52:01 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.25/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.91/0.49 % (2124876)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.91/0.49 % (2124894)lrs+10_16_si=on:nwc=1.5:random_seed=509506573:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.91/0.49 % (2124899)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.91/0.49 % (2124899)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
% 0.91/0.49 % (2124894)Instruction limit reached!
% 0.91/0.49 % (2124894)------------------------------
% 0.91/0.49 % (2124894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.49 % (2124894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.49 % (2124894)CaDiCaL version: 2.1.3
% 0.91/0.49 % (2124894)Termination reason: Instruction limit
% 0.91/0.49 % (2124894)Termination phase: shuffling
% 0.91/0.49 % (2124894)Time elapsed: 0.008 s
% 0.91/0.49 % (2124894)Peak memory usage: 10 MB
% 0.91/0.49 % (2124894)Instructions burned: 18 (million)
% 0.91/0.49 % (2124896)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=2589069077: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)
% 0.91/0.49 % (2124895)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2108740273:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.91/0.49 % (2124897)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2901158009:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.91/0.49 % (2124898)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=467262204:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.91/0.49 % (2124899)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=3395706392:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.91/0.49 % (2124895)Instruction limit reached!
% 0.91/0.49 % (2124895)------------------------------
% 0.91/0.49 % (2124895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.49 % (2124895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.49 % (2124895)CaDiCaL version: 2.1.3
% 0.91/0.49 % (2124895)Termination reason: Instruction limit
% 0.91/0.49 % (2124895)Termination phase: shuffling
% 0.91/0.49 % (2124895)Time elapsed: 0.004 s
% 0.91/0.49 % (2124895)Peak memory usage: 10 MB
% 0.91/0.49 % (2124895)Instructions burned: 4 (million)
% 0.91/0.49 % (2124910)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=886920728:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.91/0.49 % (2124910)Instruction limit reached!
% 0.91/0.49 % (2124910)------------------------------
% 0.91/0.49 % (2124910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.49 % (2124910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.49 % (2124910)CaDiCaL version: 2.1.3
% 0.91/0.49 % (2124910)Termination reason: Instruction limit
% 0.91/0.49 % (2124910)Termination phase: shuffling
% 0.91/0.49 % (2124910)Time elapsed: 0.002 s
% 0.91/0.49 % (2124910)Peak memory usage: 10 MB
% 0.91/0.49 % (2124910)Instructions burned: 4 (million)
% 0.91/0.49 % (2124897)Instruction limit reached!
% 0.91/0.49 % (2124897)------------------------------
% 0.91/0.49 % (2124897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.49 % (2124897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.49 % (2124897)CaDiCaL version: 2.1.3
% 0.91/0.49 % (2124897)Termination reason: Instruction limit
% 0.91/0.49 % (2124897)Termination phase: shuffling
% 0.91/0.49 % (2124897)Time elapsed: 0.021 s
% 0.91/0.49 % (2124897)Peak memory usage: 10 MB
% 0.91/0.49 % (2124897)Instructions burned: 24 (million)
% 0.91/0.49 % (2124893)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2923020094:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.91/0.49 % (2124921)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.91/0.54 % (2124921)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=441664429:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.91/0.54 % (2124916)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3581802375:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.91/0.54 % (2124921)Instruction limit reached!
% 0.91/0.54 % (2124921)------------------------------
% 0.91/0.54 % (2124921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.54 % (2124921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.54 % (2124921)CaDiCaL version: 2.1.3
% 0.91/0.54 % (2124921)Termination reason: Instruction limit
% 0.91/0.54 % (2124921)Termination phase: shuffling
% 0.91/0.54 % (2124921)Time elapsed: 0.003 s
% 0.91/0.54 % (2124921)Peak memory usage: 10 MB
% 0.91/0.54 % (2124921)Instructions burned: 7 (million)
% 0.91/0.54 % (2124916)Instruction limit reached!
% 0.91/0.54 % (2124916)------------------------------
% 0.91/0.54 % (2124916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.54 % (2124916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.54 % (2124916)CaDiCaL version: 2.1.3
% 0.91/0.54 % (2124916)Termination reason: Instruction limit
% 0.91/0.54 % (2124916)Termination phase: shuffling
% 0.91/0.54 % (2124916)Time elapsed: 0.005 s
% 0.91/0.54 % (2124916)Peak memory usage: 10 MB
% 0.91/0.54 % (2124916)Instructions burned: 5 (million)
% 0.91/0.54 % (2124928)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
% 0.91/0.54 % (2124928)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.91/0.54 % (2124898)Instruction limit reached!
% 0.91/0.54 % (2124898)------------------------------
% 0.91/0.54 % (2124898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.54 % (2124898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.54 % (2124898)CaDiCaL version: 2.1.3
% 0.91/0.54 % (2124898)Termination reason: Instruction limit
% 0.91/0.54 % (2124898)Termination phase: Property scanning
% 0.91/0.54 % (2124898)Time elapsed: 0.054 s
% 0.91/0.54 % (2124898)Peak memory usage: 12 MB
% 0.91/0.54 % (2124898)Instructions burned: 75 (million)
% 0.91/0.54 % (2124922)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=617607358:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.91/0.54 % (2124928)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2765833591:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 0.91/0.54 % (2124922)Instruction limit reached!
% 0.91/0.54 % (2124922)------------------------------
% 0.91/0.54 % (2124922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.54 % (2124922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.54 % (2124922)CaDiCaL version: 2.1.3
% 0.91/0.54 % (2124922)Termination reason: Instruction limit
% 0.91/0.54 % (2124922)Termination phase: shuffling
% 0.91/0.54 % (2124922)Time elapsed: 0.010 s
% 0.91/0.54 % (2124922)Peak memory usage: 10 MB
% 0.91/0.54 % (2124922)Instructions burned: 12 (million)
% 0.91/0.54 % (2124928)Instruction limit reached!
% 0.91/0.54 % (2124928)------------------------------
% 0.91/0.54 % (2124928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.54 % (2124928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.54 % (2124928)CaDiCaL version: 2.1.3
% 0.91/0.54 % (2124928)Termination reason: Instruction limit
% 0.91/0.54 % (2124928)Termination phase: shuffling
% 0.91/0.54 % (2124928)Time elapsed: 0.013 s
% 0.91/0.54 % (2124928)Peak memory usage: 10 MB
% 0.91/0.54 % (2124928)Instructions burned: 30 (million)
% 0.91/0.54 % (2124932)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=4186826292:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 0.91/0.54 % (2124942)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.91/0.54 % (2124937)lrs+10_1_si=on:cs=on:random_seed=3820123111:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.91/0.54 % (2124942)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=4216994229:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.91/0.54 % (2124944)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1967243413:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.91/0.54 % (2124942)Instruction limit reached!
% 0.91/0.54 % (2124942)------------------------------
% 0.91/0.54 % (2124942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.54 % (2124942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.54 % (2124942)CaDiCaL version: 2.1.3
% 0.91/0.54 % (2124942)Termination reason: Instruction limit
% 0.91/0.54 % (2124942)Termination phase: shuffling
% 0.91/0.54 % (2124942)Time elapsed: 0.002 s
% 0.91/0.54 % (2124942)Peak memory usage: 10 MB
% 0.91/0.54 % (2124942)Instructions burned: 3 (million)
% 0.91/0.54 % (2124937)Instruction limit reached!
% 0.91/0.54 % (2124937)------------------------------
% 0.91/0.54 % (2124937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.54 % (2124937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.54 % (2124937)CaDiCaL version: 2.1.3
% 0.91/0.54 % (2124937)Termination reason: Instruction limit
% 0.91/0.54 % (2124937)Termination phase: shuffling
% 0.91/0.54 % (2124937)Time elapsed: 0.008 s
% 0.91/0.54 % (2124937)Peak memory usage: 10 MB
% 0.91/0.54 % (2124937)Instructions burned: 8 (million)
% 0.91/0.54 % (2124944)Instruction limit reached!
% 0.91/0.54 % (2124944)------------------------------
% 0.91/0.54 % (2124944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.54 % (2124944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.54 % (2124944)CaDiCaL version: 2.1.3
% 0.91/0.54 % (2124944)Termination reason: Instruction limit
% 0.91/0.54 % (2124944)Termination phase: Property scanning
% 0.91/0.54 % (2124944)Time elapsed: 0.016 s
% 0.91/0.54 % (2124944)Peak memory usage: 10 MB
% 0.91/0.54 % (2124944)Instructions burned: 38 (million)
% 0.91/0.54 % (2124953)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2633175841:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.91/0.54 % (2124893)Instruction limit reached!
% 0.91/0.54 % (2124893)------------------------------
% 0.91/0.54 % (2124893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.54 % (2124893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.54 % (2124893)CaDiCaL version: 2.1.3
% 0.91/0.54 % (2124893)Termination reason: Instruction limit
% 0.91/0.54 % (2124893)Termination phase: Property scanning
% 0.91/0.54 % (2124893)Time elapsed: 0.090 s
% 0.91/0.54 % (2124893)Peak memory usage: 12 MB
% 0.91/0.54 % (2124893)Instructions burned: 88 (million)
% 0.91/0.54 % (2124958)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2587753998:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.91/0.54 % (2124899)Instruction limit reached!
% 0.91/0.54 % (2124899)------------------------------
% 0.91/0.54 % (2124899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.54 % (2124899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.54 % (2124899)CaDiCaL version: 2.1.3
% 0.91/0.54 % (2124899)Termination reason: Instruction limit
% 0.91/0.54 % (2124899)Termination phase: Saturation
% 0.91/0.54 % (2124899)Time elapsed: 0.125 s
% 0.91/0.54 % (2124899)Peak memory usage: 13 MB
% 0.91/0.54 % (2124899)Instructions burned: 157 (million)
% 0.91/0.54 % (2124956)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=877021560:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.91/0.54 % (2124958)Instruction limit reached!
% 0.91/0.54 % (2124958)------------------------------
% 0.91/0.54 % (2124958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.54 % (2124958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.54 % (2124958)CaDiCaL version: 2.1.3
% 0.91/0.54 % (2124958)Termination reason: Instruction limit
% 0.91/0.54 % (2124958)Termination phase: shuffling
% 0.91/0.54 % (2124958)Time elapsed: 0.007 s
% 0.91/0.54 % (2124958)Peak memory usage: 10 MB
% 0.91/0.54 % (2124958)Instructions burned: 17 (million)
% 0.91/0.54 % (2124932)Instruction limit reached!
% 0.91/0.54 % (2124932)------------------------------
% 0.91/0.54 % (2124932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.54 % (2124932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.54 % (2124932)CaDiCaL version: 2.1.3
% 0.91/0.54 % (2124932)Termination reason: Instruction limit
% 0.91/0.54 % (2124932)Termination phase: Clausification
% 0.91/0.54 % (2124932)Time elapsed: 0.070 s
% 0.91/0.54 % (2124932)Peak memory usage: 11 MB
% 0.91/0.54 % (2124932)Instructions burned: 87 (million)
% 0.91/0.54 % (2124966)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=723221390:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.91/0.54 % (2124971)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2569858020:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 0.91/0.54 % (2124963)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4092335091:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.91/0.54 % (2124956)Instruction limit reached!
% 0.91/0.54 % (2124956)------------------------------
% 0.91/0.54 % (2124956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.54 % (2124956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.54 % (2124956)CaDiCaL version: 2.1.3
% 0.91/0.54 % (2124956)Termination reason: Instruction limit
% 0.91/0.54 % (2124956)Termination phase: shuffling
% 0.91/0.54 % (2124956)Time elapsed: 0.021 s
% 0.91/0.54 % (2124956)Peak memory usage: 10 MB
% 0.91/0.54 % (2124956)Instructions burned: 26 (million)
% 0.91/0.54 % (2124971)Instruction limit reached!
% 0.91/0.54 % (2124971)------------------------------
% 0.91/0.54 % (2124971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.54 % (2124971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.54 % (2124971)CaDiCaL version: 2.1.3
% 0.91/0.54 % (2124971)Termination reason: Instruction limit
% 0.91/0.54 % (2124971)Termination phase: shuffling
% 0.91/0.54 % (2124971)Time elapsed: 0.003 s
% 0.91/0.54 % (2124971)Peak memory usage: 10 MB
% 0.91/0.54 % (2124971)Instructions burned: 8 (million)
% 0.91/0.54 % (2124966)Instruction limit reached!
% 0.91/0.54 % (2124966)------------------------------
% 0.91/0.54 % (2124966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.54 % (2124966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.54 % (2124966)CaDiCaL version: 2.1.3
% 0.91/0.54 % (2124966)Termination reason: Instruction limit
% 0.91/0.54 % (2124966)Termination phase: shuffling
% 0.91/0.54 % (2124966)Time elapsed: 0.009 s
% 0.91/0.54 % (2124966)Peak memory usage: 10 MB
% 0.91/0.54 % (2124966)Instructions burned: 15 (million)
% 0.91/0.54 % (2124953)Refutation not found, incomplete strategy
% 0.91/0.54 % (2124953)------------------------------
% 0.91/0.54 % (2124953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.54 % (2124953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.54 % (2124953)CaDiCaL version: 2.1.3
% 0.91/0.54 % (2124953)Termination reason: Refutation not found, incomplete strategy
% 0.91/0.54 % (2124953)Time elapsed: 0.049 s
% 0.91/0.54 % (2124953)Peak memory usage: 13 MB
% 0.91/0.54 % (2124953)Instructions burned: 71 (million)
% 0.91/0.54 % (2124953)------------------------------
% 0.91/0.54 % (2124953)------------------------------
% 0.91/0.54 % (2124974)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2960198388:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 0.91/0.54 % (2124896) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2124876-2124896"...
% 0.91/0.54 % (2124982)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 0.91/0.54 % (2124982)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.91/0.54 % (2124896)...printing done.
% 0.91/0.54 % (2124982)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=3381372415:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 0.91/0.54 % (2124896)Refutation found. Thanks to Tanya!
% 0.91/0.54 % SZS status Theorem for theBenchmark
% 0.91/0.54 % SZS output start Proof for theBenchmark
% 0.91/0.54 thf(type_def_5, type, secrecy_Expression: $tType).
% 0.91/0.54 thf(type_def_6, type, secrecy_Secrets: $tType).
% 0.91/0.54 thf(type_def_7, type, secrecy_specID: $tType).
% 0.91/0.54 thf(type_def_8, type, secrecy_chanID: $tType).
% 0.91/0.54 thf(type_def_9, type, secrecy_Keys: $tType).
% 0.91/0.54 thf(type_def_10, type, secrecy_KS: $tType).
% 0.91/0.54 thf(type_def_11, type, list: $tType > $tType).
% 0.91/0.54 thf(type_def_12, type, set: $tType > $tType).
% 0.91/0.54 thf(type_def_13, type, nat: $tType).
% 0.91/0.54 thf(type_def_14, type, sTfun: ($tType * $tType) > $tType).
% 0.91/0.54 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:($o)).
% 0.91/0.54 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 0.91/0.54 thf(func_def_2, type, bot: !>[X0: $tType]:($o)).
% 0.91/0.54 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 0.91/0.54 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 0.91/0.54 thf(func_def_5, type, linorder: !>[X0: $tType]:($o)).
% 0.91/0.54 thf(func_def_6, type, preorder: !>[X0: $tType]:($o)).
% 0.91/0.54 thf(func_def_7, type, order_bot: !>[X0: $tType]:($o)).
% 0.91/0.54 thf(func_def_8, type, bounde1808546759up_bot: !>[X0: $tType]:($o)).
% 0.91/0.54 thf(func_def_9, type, localSecrets: (secrecy_specID > set @ secrecy_KS)).
% 0.91/0.54 thf(func_def_10, type, knowle1667810483orrect: (secrecy_specID > secrecy_KS > $o)).
% 0.91/0.54 thf(func_def_11, type, knowle1437066798e_know: (secrecy_specID > secrecy_KS > $o)).
% 0.91/0.54 thf(func_def_12, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.91/0.54 thf(func_def_13, type, mem: !>[X0: $tType]:((X0 > list @ X0 > $o))).
% 0.91/0.54 thf(func_def_14, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.91/0.54 thf(func_def_15, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.91/0.54 thf(func_def_16, type, correctCompositionKS: (secrecy_specID > $o)).
% 0.91/0.54 thf(func_def_17, type, correc17873122onKeys: (secrecy_specID > $o)).
% 0.91/0.54 thf(func_def_18, type, eout: (secrecy_specID > secrecy_Expression > $o)).
% 0.91/0.54 thf(func_def_19, type, eoutM: (secrecy_specID > set @ secrecy_chanID > secrecy_Expression > $o)).
% 0.91/0.54 thf(func_def_20, type, exprChannel: (secrecy_chanID > secrecy_Expression > $o)).
% 0.91/0.54 thf(func_def_21, type, ine: (secrecy_specID > secrecy_Expression > $o)).
% 0.91/0.54 thf(func_def_22, type, ineM: (secrecy_specID > set @ secrecy_chanID > secrecy_Expression > $o)).
% 0.91/0.54 thf(func_def_23, type, ine_exprChannelSet: (secrecy_specID > set @ secrecy_chanID > secrecy_Expression > $o)).
% 0.91/0.54 thf(func_def_24, type, ine_ex1303305700Single: (secrecy_specID > secrecy_chanID > secrecy_Expression > $o)).
% 0.91/0.54 thf(func_def_25, type, notSpe1586871396tsExpr: (secrecy_specID > list @ secrecy_Expression > $o)).
% 0.91/0.54 thf(func_def_26, type, out_exprChannelSet: (secrecy_specID > set @ secrecy_chanID > secrecy_Expression > $o)).
% 0.91/0.54 thf(func_def_27, type, out_ex985543062Single: (secrecy_specID > secrecy_chanID > secrecy_Expression > $o)).
% 0.91/0.54 thf(func_def_28, type, specKeys: (secrecy_specID > set @ secrecy_Keys)).
% 0.91/0.54 thf(func_def_29, type, specKeysSecrets: (secrecy_specID > set @ secrecy_KS)).
% 0.91/0.54 thf(func_def_30, type, specSecrets: (secrecy_specID > set @ secrecy_Secrets)).
% 0.91/0.54 thf(func_def_31, type, secrecy_kE: (secrecy_Keys > secrecy_Expression)).
% 0.91/0.54 thf(func_def_32, type, secrecy_sE: (secrecy_Secrets > secrecy_Expression)).
% 0.91/0.54 thf(func_def_33, type, secrec1016742679ession: (secrecy_KS > secrecy_Expression)).
% 0.91/0.54 thf(func_def_34, type, secrecy_kKS: (secrecy_Keys > secrecy_KS)).
% 0.91/0.54 thf(func_def_35, type, secrecy_sKS: (secrecy_Secrets > secrecy_KS)).
% 0.91/0.54 thf(func_def_36, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.91/0.54 thf(func_def_37, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.91/0.54 thf(func_def_38, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 0.91/0.54 thf(func_def_39, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 0.91/0.54 thf(func_def_40, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 0.91/0.54 thf(func_def_41, type, correctCompositionIn: (secrecy_specID > $o)).
% 0.91/0.54 thf(func_def_42, type, correc965049635ionLoc: (secrecy_specID > $o)).
% 0.91/0.54 thf(func_def_43, type, correc990227761ionOut: (secrecy_specID > $o)).
% 0.91/0.54 thf(func_def_44, type, inStream: (secrecy_specID > set @ secrecy_chanID > $o)).
% 0.91/0.54 thf(func_def_45, type, ins: (secrecy_specID > set @ secrecy_chanID)).
% 0.91/0.55 thf(func_def_46, type, loc: (secrecy_specID > set @ secrecy_chanID)).
% 0.91/0.55 thf(func_def_47, type, locStream: (secrecy_specID > set @ secrecy_chanID > $o)).
% 0.91/0.55 thf(func_def_48, type, out: (secrecy_specID > set @ secrecy_chanID)).
% 0.91/0.55 thf(func_def_49, type, subcomponents: (secrecy_specID > set @ secrecy_specID)).
% 0.91/0.55 thf(func_def_50, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.91/0.55 thf(func_def_51, type, p: secrecy_specID).
% 0.91/0.55 thf(func_def_52, type, pq: secrecy_specID).
% 0.91/0.55 thf(func_def_53, type, q: secrecy_specID).
% 0.91/0.55 thf(func_def_54, type, key: secrecy_Keys).
% 0.91/0.55 thf(func_def_55, type, m: secrecy_KS).
% 0.91/0.55 thf(func_def_59, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.91/0.55 thf(func_def_60, type, vAND: ($o > $o > $o)).
% 0.91/0.55 thf(func_def_61, type, db0: !>[X0: $tType]:(X0)).
% 0.91/0.55 thf(func_def_62, type, db3: !>[X0: $tType]:(X0)).
% 0.91/0.55 thf(func_def_63, type, db2: !>[X0: $tType]:(X0)).
% 0.91/0.55 thf(func_def_64, type, db1: !>[X0: $tType]:(X0)).
% 0.91/0.55 thf(func_def_65, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.91/0.55 thf(func_def_66, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.91/0.55 thf(func_def_67, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.91/0.55 thf(func_def_68, type, vIMP: ($o > $o > $o)).
% 0.91/0.55 thf(func_def_69, type, vNOT: ($o > $o)).
% 0.91/0.55 thf(func_def_70, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.91/0.55 thf(func_def_71, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.91/0.55 thf(func_def_72, type, sK2: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.91/0.55 thf(func_def_73, type, sK3: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.91/0.55 thf(func_def_74, type, sK4: (secrecy_Secrets > secrecy_specID > secrecy_chanID)).
% 0.91/0.55 thf(func_def_75, type, sK5: !>[X0: $tType]:(((X0 > $o) > set @ X0 > set @ X0 > X0))).
% 0.91/0.55 thf(func_def_76, type, sK6: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.91/0.55 thf(func_def_77, type, sK7: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.91/0.55 thf(func_def_78, type, sK8: ((secrecy_KS > $o) > secrecy_Keys)).
% 0.91/0.55 thf(func_def_79, type, sK9: ((secrecy_KS > $o) > secrecy_Secrets)).
% 0.91/0.55 thf(func_def_80, type, sK10: !>[X0: $tType]:((set @ X0 > X0))).
% 0.91/0.55 thf(func_def_81, type, sK11: (secrecy_KS > secrecy_Secrets)).
% 0.91/0.55 thf(func_def_82, type, sK12: (secrecy_KS > secrecy_Keys)).
% 0.91/0.55 thf(func_def_83, type, sK13: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.91/0.55 thf(func_def_84, type, sK14: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 0.91/0.55 thf(func_def_85, type, sK15: (secrecy_Expression > secrecy_specID > secrecy_chanID)).
% 0.91/0.55 thf(func_def_86, type, sK16: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.91/0.55 thf(func_def_87, type, sK17: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.91/0.55 thf(func_def_88, type, sK18: !>[X0: $tType]:(((X0 > $o) > set @ X0 > set @ X0 > X0))).
% 0.91/0.55 thf(func_def_89, type, sK19: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.91/0.55 thf(func_def_90, type, sK20: !>[X0: $tType]:((set @ X0 > X0))).
% 0.91/0.55 thf(func_def_91, type, sK21: !>[X0: $tType]:((set @ X0 > X0))).
% 0.91/0.55 thf(func_def_92, type, sK22: (secrecy_Secrets > secrecy_specID > secrecy_specID)).
% 0.91/0.55 thf(func_def_93, type, sK23: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.91/0.55 thf(func_def_94, type, sK24: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 0.91/0.55 thf(func_def_95, type, sK25: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 0.91/0.55 thf(func_def_96, type, sK26: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.91/0.55 thf(func_def_97, type, sK27: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.91/0.55 thf(func_def_98, type, sK28: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 0.91/0.55 thf(func_def_99, type, sK29: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.91/0.55 thf(func_def_100, type, sK30: (secrecy_specID > secrecy_Keys > secrecy_chanID)).
% 0.91/0.55 thf(func_def_101, type, sK31: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.91/0.55 thf(func_def_102, type, sK32: !>[X0: $tType]:((set @ X0 > X0 > set @ X0 > X0 > set @ X0))).
% 0.91/0.55 thf(func_def_103, type, sK33: (set @ secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.91/0.55 thf(func_def_104, type, sK34: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.91/0.55 thf(func_def_105, type, sK35: (set @ secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.91/0.55 thf(func_def_106, type, sK36: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.91/0.55 thf(func_def_107, type, sK37: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.91/0.55 thf(func_def_108, type, sK38: (set @ secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.91/0.55 thf(func_def_109, type, sK39: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.91/0.55 thf(func_def_110, type, sK40: (secrecy_specID > secrecy_KS > secrecy_specID > secrecy_Secrets)).
% 0.91/0.55 thf(func_def_111, type, sK41: (secrecy_specID > secrecy_KS > secrecy_specID > secrecy_Keys)).
% 0.91/0.55 thf(func_def_112, type, sK42: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.91/0.55 thf(func_def_113, type, sK43: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.91/0.55 thf(func_def_114, type, sK44: (set @ secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.91/0.55 thf(func_def_115, type, sK45: !>[X0: $tType]:((set @ X0 > X0))).
% 0.91/0.55 thf(func_def_116, type, sK46: (secrecy_Keys > secrecy_specID > secrecy_chanID)).
% 0.91/0.55 thf(func_def_117, type, sK47: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.91/0.55 thf(func_def_118, type, sK48: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.91/0.55 thf(func_def_119, type, sK49: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.91/0.55 thf(func_def_120, type, sK50: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.91/0.55 thf(func_def_121, type, sK51: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.91/0.55 thf(func_def_122, type, sK52: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.91/0.55 thf(func_def_123, type, sK53: (secrecy_specID > secrecy_Secrets > secrecy_chanID)).
% 0.91/0.55 thf(func_def_124, type, sK54: (set @ secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.91/0.55 thf(func_def_125, type, sK55: (set @ secrecy_chanID > secrecy_specID > secrecy_chanID)).
% 0.91/0.55 thf(func_def_126, type, sK56: (secrecy_specID > secrecy_Keys > secrecy_specID)).
% 0.91/0.55 thf(func_def_127, type, sK57: !>[X0: $tType]:((set @ X0 > X0))).
% 0.91/0.55 thf(func_def_128, type, sK58: !>[X0: $tType]:((set @ X0 > X0))).
% 0.91/0.55 thf(func_def_129, type, sK59: (secrecy_Keys > secrecy_specID > secrecy_specID)).
% 0.91/0.55 thf(func_def_130, type, sK60: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.91/0.55 thf(func_def_131, type, sK61: (secrecy_specID > set @ secrecy_chanID > secrecy_chanID)).
% 0.91/0.55 thf(func_def_132, type, sK62: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.91/0.55 thf(func_def_133, type, sK63: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.91/0.55 thf(func_def_134, type, sK64: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.91/0.55 thf(func_def_135, type, sK65: (secrecy_specID > secrecy_KS > secrecy_specID > secrecy_Secrets)).
% 0.91/0.55 thf(func_def_136, type, sK66: (secrecy_specID > secrecy_KS > secrecy_specID > secrecy_Keys)).
% 0.91/0.55 thf(func_def_138, type, inv_secrecy_sKS_68: (secrecy_KS > secrecy_Secrets)).
% 0.91/0.55 thf(func_def_139, type, inv_secrecy_kE_69: (secrecy_Expression > secrecy_Keys)).
% 0.91/0.55 thf(func_def_140, type, inv_secrecy_sE_70: (secrecy_Expression > secrecy_Secrets)).
% 0.91/0.55 thf(func_def_141, type, inv_secrecy_kKS_71: (secrecy_KS > secrecy_Keys)).
% 0.91/0.55 thf(f1,axiom,(
% 0.91/0.55 (correctCompositionKS @ pq)),
% 0.91/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_cCompKS)).
% 0.91/0.55 thf(f2,axiom,(
% 0.91/0.55 ~(member @ secrecy_KS @ m @ (specKeysSecrets @ q))),
% 0.91/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_notKSQ)).
% 0.91/0.55 thf(f3,axiom,(
% 0.91/0.55 ~(member @ secrecy_KS @ m @ (specKeysSecrets @ p))),
% 0.91/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_notKSP)).
% 0.91/0.55 thf(f4,axiom,(
% 0.91/0.55 (((subcomponents @ pq)) = ((insert @ secrecy_specID @ p @ (insert @ secrecy_specID @ q @ bot_bot @ set @ secrecy_specID))))),
% 0.91/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_subPQ)).
% 0.91/0.55 thf(f8,axiom,(
% 0.91/0.55 ! [X3 : secrecy_KS,X1 : secrecy_specID,X0 : secrecy_specID,X2 : secrecy_specID] : ((((subcomponents @ X0)) = ((insert @ secrecy_specID @ X1 @ (insert @ secrecy_specID @ X2 @ bot_bot @ set @ secrecy_specID)))) => ((correctCompositionKS @ X0) => ((member @ secrecy_KS @ X3 @ (specKeysSecrets @ X0)) => ((member @ secrecy_KS @ X3 @ (specKeysSecrets @ X1)) | (member @ secrecy_KS @ X3 @ (specKeysSecrets @ X2))))))),
% 0.91/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_correctCompositionKS__PQ)).
% 0.91/0.55 thf(f285,conjecture,(
% 0.91/0.55 ~(member @ secrecy_KS @ m @ (specKeysSecrets @ pq))),
% 0.91/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.91/0.55 thf(f286,negated_conjecture,(
% 0.91/0.55 ~ ~(member @ secrecy_KS @ m @ (specKeysSecrets @ pq))),
% 0.91/0.55 inference(negated_conjecture,[status(cth)],[f285])).
% 0.91/0.55 thf(f571,plain,(
% 0.91/0.55 ~(member @ secrecy_KS @ m @ (specKeysSecrets @ p))),
% 0.91/0.55 inference(rectify,[],[f3])).
% 0.91/0.55 thf(f572,plain,(
% 0.91/0.55 ~ (((member @ secrecy_KS @ m @ (specKeysSecrets @ p))) = $true)),
% 0.91/0.55 inference(fool_elimination,[],[f571])).
% 0.91/0.55 thf(f582,plain,(
% 0.91/0.55 (correctCompositionKS @ pq)),
% 0.91/0.55 inference(rectify,[],[f1])).
% 0.91/0.55 thf(f583,plain,(
% 0.91/0.55 (((correctCompositionKS @ pq)) = $true)),
% 0.91/0.55 inference(fool_elimination,[],[f582])).
% 0.91/0.55 thf(f606,plain,(
% 0.91/0.55 ! [X0 : secrecy_KS,X1 : secrecy_specID,X2 : secrecy_specID,X3 : secrecy_specID] : ((((subcomponents @ X2)) = ((insert @ secrecy_specID @ X1 @ (insert @ secrecy_specID @ X3 @ bot_bot @ set @ secrecy_specID)))) => ((correctCompositionKS @ X2) => ((member @ secrecy_KS @ X0 @ (specKeysSecrets @ X2)) => ((member @ secrecy_KS @ X0 @ (specKeysSecrets @ X1)) | (member @ secrecy_KS @ X0 @ (specKeysSecrets @ X3))))))),
% 0.91/0.55 inference(rectify,[],[f8])).
% 0.91/0.55 thf(f607,plain,(
% 0.91/0.55 ! [X1 : secrecy_specID,X0 : secrecy_KS,X3 : secrecy_specID,X2 : secrecy_specID] : ((((subcomponents @ X2)) = ((insert @ secrecy_specID @ X1 @ (insert @ secrecy_specID @ X3 @ bot_bot @ set @ secrecy_specID)))) => (($true = ((correctCompositionKS @ X2))) => ((((member @ secrecy_KS @ X0 @ (specKeysSecrets @ X2))) = $true) => ((((member @ secrecy_KS @ X0 @ (specKeysSecrets @ X3))) = $true) | (((member @ secrecy_KS @ X0 @ (specKeysSecrets @ X1))) = $true)))))),
% 0.91/0.55 inference(fool_elimination,[],[f606])).
% 0.91/0.55 thf(f657,plain,(
% 0.91/0.55 ~(member @ secrecy_KS @ m @ (specKeysSecrets @ q))),
% 0.91/0.55 inference(rectify,[],[f2])).
% 0.91/0.55 thf(f658,plain,(
% 0.91/0.55 ~ (((member @ secrecy_KS @ m @ (specKeysSecrets @ q))) = $true)),
% 0.91/0.55 inference(fool_elimination,[],[f657])).
% 0.91/0.55 thf(f665,plain,(
% 0.91/0.55 ~ ~(member @ secrecy_KS @ m @ (specKeysSecrets @ pq))),
% 0.91/0.55 inference(rectify,[],[f286])).
% 0.91/0.55 thf(f666,plain,(
% 0.91/0.55 ~ ~ (((member @ secrecy_KS @ m @ (specKeysSecrets @ pq))) = $true)),
% 0.91/0.55 inference(fool_elimination,[],[f665])).
% 0.91/0.55 thf(f840,plain,(
% 0.91/0.55 (((member @ secrecy_KS @ m @ (specKeysSecrets @ p))) != $true)),
% 0.91/0.55 inference(flattening,[],[f572])).
% 0.91/0.55 thf(f865,plain,(
% 0.91/0.55 (((member @ secrecy_KS @ m @ (specKeysSecrets @ q))) != $true)),
% 0.91/0.55 inference(flattening,[],[f658])).
% 0.91/0.55 thf(f868,plain,(
% 0.91/0.55 (((member @ secrecy_KS @ m @ (specKeysSecrets @ pq))) = $true)),
% 0.91/0.55 inference(flattening,[],[f666])).
% 0.91/0.55 thf(f1114,plain,(
% 0.91/0.55 ! [X1 : secrecy_specID,X0 : secrecy_KS,X3 : secrecy_specID,X2 : secrecy_specID] : (((((((member @ secrecy_KS @ X0 @ (specKeysSecrets @ X3))) = $true) | (((member @ secrecy_KS @ X0 @ (specKeysSecrets @ X1))) = $true)) | (((member @ secrecy_KS @ X0 @ (specKeysSecrets @ X2))) != $true)) | ($true != ((correctCompositionKS @ X2)))) | (((subcomponents @ X2)) != ((insert @ secrecy_specID @ X1 @ (insert @ secrecy_specID @ X3 @ bot_bot @ set @ secrecy_specID)))))),
% 0.91/0.55 inference(ennf_transformation,[],[f607])).
% 0.91/0.55 thf(f1115,plain,(
% 0.91/0.55 ! [X0 : secrecy_KS,X3 : secrecy_specID,X2 : secrecy_specID,X1 : secrecy_specID] : (($true != ((correctCompositionKS @ X2))) | (((member @ secrecy_KS @ X0 @ (specKeysSecrets @ X3))) = $true) | (((member @ secrecy_KS @ X0 @ (specKeysSecrets @ X2))) != $true) | (((subcomponents @ X2)) != ((insert @ secrecy_specID @ X1 @ (insert @ secrecy_specID @ X3 @ bot_bot @ set @ secrecy_specID)))) | (((member @ secrecy_KS @ X0 @ (specKeysSecrets @ X1))) = $true))),
% 0.91/0.55 inference(flattening,[],[f1114])).
% 0.91/0.55 thf(f1261,plain,(
% 0.91/0.55 ! [X0 : secrecy_KS,X1 : secrecy_specID,X2 : secrecy_specID,X3 : secrecy_specID] : (($true != ((correctCompositionKS @ X2))) | (((member @ secrecy_KS @ X0 @ (specKeysSecrets @ X1))) = $true) | (((member @ secrecy_KS @ X0 @ (specKeysSecrets @ X2))) != $true) | (((subcomponents @ X2)) != ((insert @ secrecy_specID @ X3 @ (insert @ secrecy_specID @ X1 @ bot_bot @ set @ secrecy_specID)))) | (((member @ secrecy_KS @ X0 @ (specKeysSecrets @ X3))) = $true))),
% 0.91/0.55 inference(rectify,[],[f1115])).
% 0.91/0.55 thf(f1576,plain,(
% 0.91/0.55 ( ! [X2 : secrecy_specID,X3 : secrecy_specID,X0 : secrecy_KS,X1 : secrecy_specID] : ((((subcomponents @ X2)) != ((insert @ secrecy_specID @ X3 @ (insert @ secrecy_specID @ X1 @ bot_bot @ set @ secrecy_specID)))) | (((member @ secrecy_KS @ X0 @ (specKeysSecrets @ X2))) != $true) | (((member @ secrecy_KS @ X0 @ (specKeysSecrets @ X3))) = $true) | ($true != ((correctCompositionKS @ X2))) | (((member @ secrecy_KS @ X0 @ (specKeysSecrets @ X1))) = $true)) )),
% 0.91/0.55 inference(cnf_transformation,[],[f1261])).
% 0.91/0.55 thf(f1581,plain,(
% 0.91/0.55 (((correctCompositionKS @ pq)) = $true)),
% 0.91/0.55 inference(cnf_transformation,[],[f583])).
% 0.91/0.55 thf(f1654,plain,(
% 0.91/0.55 (((subcomponents @ pq)) = ((insert @ secrecy_specID @ p @ (insert @ secrecy_specID @ q @ bot_bot @ set @ secrecy_specID))))),
% 0.91/0.55 inference(cnf_transformation,[],[f4])).
% 0.91/0.55 thf(f1779,plain,(
% 0.91/0.55 (((member @ secrecy_KS @ m @ (specKeysSecrets @ q))) != $true)),
% 0.91/0.55 inference(cnf_transformation,[],[f865])).
% 0.91/0.55 thf(f1785,plain,(
% 0.91/0.55 (((member @ secrecy_KS @ m @ (specKeysSecrets @ p))) != $true)),
% 0.91/0.55 inference(cnf_transformation,[],[f840])).
% 0.91/0.55 thf(f1868,plain,(
% 0.91/0.55 (((member @ secrecy_KS @ m @ (specKeysSecrets @ pq))) = $true)),
% 0.91/0.55 inference(cnf_transformation,[],[f868])).
% 0.91/0.55 thf(f2042,definition,(
% 0.91/0.55 spl67_8 <=> (((member @ secrecy_KS @ m @ (specKeysSecrets @ pq))) = $true)),
% 0.91/0.55 introduced(definition,[new_symbols(definition,[spl67_8])],[avatar_definition])).
% 0.91/0.55 thf(f2044,plain,(
% 0.91/0.55 (((member @ secrecy_KS @ m @ (specKeysSecrets @ pq))) = $true) | ~spl67_8),
% 0.91/0.55 inference(avatar_component_clause,[],[f2042])).
% 0.91/0.55 thf(f2045,plain,(
% 0.91/0.55 spl67_8),
% 0.91/0.55 inference(avatar_split_clause,[],[f1868,f2042])).
% 0.91/0.55 thf(f2077,definition,(
% 0.91/0.55 spl67_15 <=> (((member @ secrecy_KS @ m @ (specKeysSecrets @ p))) = $true)),
% 0.91/0.55 introduced(definition,[new_symbols(definition,[spl67_15])],[avatar_definition])).
% 0.91/0.55 thf(f2079,plain,(
% 0.91/0.55 (((member @ secrecy_KS @ m @ (specKeysSecrets @ p))) != $true) | spl67_15),
% 0.91/0.55 inference(avatar_component_clause,[],[f2077])).
% 0.91/0.55 thf(f2080,plain,(
% 0.91/0.55 ~spl67_15),
% 0.91/0.55 inference(avatar_split_clause,[],[f1785,f2077])).
% 0.91/0.55 thf(f2092,definition,(
% 0.91/0.55 spl67_18 <=> (((member @ secrecy_KS @ m @ (specKeysSecrets @ q))) = $true)),
% 0.91/0.55 introduced(definition,[new_symbols(definition,[spl67_18])],[avatar_definition])).
% 0.91/0.55 thf(f2094,plain,(
% 0.91/0.55 (((member @ secrecy_KS @ m @ (specKeysSecrets @ q))) != $true) | spl67_18),
% 0.91/0.55 inference(avatar_component_clause,[],[f2092])).
% 0.91/0.55 thf(f2095,plain,(
% 0.91/0.55 ~spl67_18),
% 0.91/0.55 inference(avatar_split_clause,[],[f1779,f2092])).
% 0.91/0.55 thf(f2102,definition,(
% 0.91/0.55 spl67_20 <=> (((correctCompositionKS @ pq)) = $true)),
% 0.91/0.55 introduced(definition,[new_symbols(definition,[spl67_20])],[avatar_definition])).
% 0.91/0.55 thf(f2104,plain,(
% 0.91/0.55 (((correctCompositionKS @ pq)) = $true) | ~spl67_20),
% 0.91/0.55 inference(avatar_component_clause,[],[f2102])).
% 0.91/0.55 thf(f2105,plain,(
% 0.91/0.55 spl67_20),
% 0.91/0.55 inference(avatar_split_clause,[],[f1581,f2102])).
% 0.91/0.55 thf(f2117,definition,(
% 0.91/0.55 spl67_23 <=> (((subcomponents @ pq)) = ((insert @ secrecy_specID @ p @ (insert @ secrecy_specID @ q @ bot_bot @ set @ secrecy_specID))))),
% 0.91/0.55 introduced(definition,[new_symbols(definition,[spl67_23])],[avatar_definition])).
% 0.91/0.55 thf(f2119,plain,(
% 0.91/0.55 (((subcomponents @ pq)) = ((insert @ secrecy_specID @ p @ (insert @ secrecy_specID @ q @ bot_bot @ set @ secrecy_specID)))) | ~spl67_23),
% 0.91/0.55 inference(avatar_component_clause,[],[f2117])).
% 0.91/0.55 thf(f2120,plain,(
% 0.91/0.55 spl67_23),
% 0.91/0.55 inference(avatar_split_clause,[],[f1654,f2117])).
% 0.91/0.55 thf(f2186,plain,(
% 0.91/0.55 ( ! [X0 : secrecy_specID,X1 : secrecy_KS] : ((((member @ secrecy_KS @ X1 @ (specKeysSecrets @ q))) = $true) | ($true != ((member @ secrecy_KS @ X1 @ (specKeysSecrets @ X0)))) | (((member @ secrecy_KS @ X1 @ (specKeysSecrets @ p))) = $true) | (((correctCompositionKS @ X0)) != $true) | (((subcomponents @ pq)) != ((subcomponents @ X0)))) ) | ~spl67_23),
% 0.91/0.55 inference(superposition,[],[f1576,f2119])).
% 0.91/0.55 thf(f2230,plain,(
% 0.91/0.55 ( ! [X0 : secrecy_specID] : ((((member @ secrecy_KS @ m @ (specKeysSecrets @ p))) = $true) | ($true != ((member @ secrecy_KS @ m @ (specKeysSecrets @ X0)))) | (((correctCompositionKS @ X0)) != $true) | ($true != $true) | (((subcomponents @ pq)) != ((subcomponents @ X0)))) ) | (spl67_18 | ~spl67_23)),
% 0.91/0.55 inference(superposition,[],[f2094,f2186])).
% 0.91/0.55 thf(f2231,plain,(
% 0.91/0.55 ( ! [X0 : secrecy_specID] : ((((correctCompositionKS @ X0)) != $true) | (((subcomponents @ pq)) != ((subcomponents @ X0))) | ($true != ((member @ secrecy_KS @ m @ (specKeysSecrets @ X0)))) | (((member @ secrecy_KS @ m @ (specKeysSecrets @ p))) = $true)) ) | (spl67_18 | ~spl67_23)),
% 0.91/0.55 inference(trivial_inequality_removal,[],[f2230])).
% 0.91/0.55 thf(f2232,plain,(
% 0.91/0.55 ( ! [X0 : secrecy_specID] : (($true != ((member @ secrecy_KS @ m @ (specKeysSecrets @ X0)))) | (((subcomponents @ pq)) != ((subcomponents @ X0))) | (((correctCompositionKS @ X0)) != $true)) ) | (spl67_15 | spl67_18 | ~spl67_23)),
% 0.91/0.55 inference(forward_subsumption_resolution,[],[f2231,f2079])).
% 0.91/0.55 thf(f2312,plain,(
% 0.91/0.55 (((correctCompositionKS @ pq)) != $true) | (((subcomponents @ pq)) != ((subcomponents @ pq))) | ($true != $true) | (~spl67_8 | spl67_15 | spl67_18 | ~spl67_23)),
% 0.91/0.55 inference(superposition,[],[f2232,f2044])).
% 0.91/0.55 thf(f2318,plain,(
% 0.91/0.55 (((correctCompositionKS @ pq)) != $true) | (~spl67_8 | spl67_15 | spl67_18 | ~spl67_23)),
% 0.91/0.55 inference(trivial_inequality_removal,[],[f2312])).
% 0.91/0.55 thf(f2324,plain,(
% 0.91/0.55 $false | (~spl67_8 | spl67_15 | spl67_18 | ~spl67_20 | ~spl67_23)),
% 0.91/0.55 inference(forward_subsumption_resolution,[],[f2318,f2104])).
% 0.91/0.55 thf(f2325,plain,(
% 0.91/0.55 ~spl67_8 | spl67_15 | spl67_18 | ~spl67_20 | ~spl67_23),
% 0.91/0.55 inference(avatar_contradiction_clause,[],[f2324])).
% 0.91/0.55 cnf(s8, plain, spl67_8, inference(sat_conversion,[],[f2045])).
% 0.91/0.55 cnf(s15, plain, ~spl67_15, inference(sat_conversion,[],[f2080])).
% 0.91/0.55 cnf(s18, plain, ~spl67_18, inference(sat_conversion,[],[f2095])).
% 0.91/0.55 cnf(s20, plain, spl67_20, inference(sat_conversion,[],[f2105])).
% 0.91/0.55 cnf(s23, plain, spl67_23, inference(sat_conversion,[],[f2120])).
% 0.91/0.55 cnf(s40, plain, ~spl67_8 | spl67_15 | spl67_18 | ~spl67_20 | ~spl67_23, inference(sat_conversion,[],[f2325])).
% 0.91/0.55 cnf(s43, plain, ~spl67_8, inference(rat,[],[s40,s23,s20,s18,s15])).
% 0.91/0.55 cnf(s44, plain, $false, inference(rat,[],[s8,s43])).
% 0.91/0.55 thf(f2326,plain,(
% 0.91/0.55 $false),
% 0.91/0.55 inference(avatar_sat_refutation,[],[s44])).
% 0.91/0.55 % SZS output end Proof for theBenchmark
% 0.91/0.55 % (2124896)------------------------------
% 0.91/0.55 % (2124896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.55 % (2124896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.55 % (2124896)CaDiCaL version: 2.1.3
% 0.91/0.55 % (2124896)Termination reason: Refutation
% 0.91/0.55 % (2124896)Time elapsed: 0.180 s
% 0.91/0.55 % (2124896)Peak memory usage: 15 MB
% 0.91/0.55 % (2124896)Instructions burned: 215 (million)
% 0.91/0.55 % (2124876)Success in time 0.251 s
% 0.91/0.55 % Vampire exiting
%------------------------------------------------------------------------------