%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP128^2 : 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 : n011.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 08:08:28 AM UTC 2026
% Result : Theorem 0.51s 0.44s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP128^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n011.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 19:57:46 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.21/0.27 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
% 0.51/0.42 % (566654)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.51/0.42 % (566660)lrs+10_16_si=on:nwc=1.5:random_seed=3145218128:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.51/0.42 % (566660)Instruction limit reached!
% 0.51/0.42 % (566660)------------------------------
% 0.51/0.42 % (566660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.42 % (566665)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.51/0.42 % (566660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.42 % (566665)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
% 0.51/0.42 % (566660)CaDiCaL version: 2.1.3
% 0.51/0.42 % (566660)Termination reason: Instruction limit
% 0.51/0.42 % (566660)Termination phase: shuffling
% 0.51/0.42 % (566660)Time elapsed: 0.005 s
% 0.51/0.42 % (566660)Peak memory usage: 10 MB
% 0.51/0.42 % (566660)Instructions burned: 20 (million)
% 0.51/0.42 % (566663)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=400377674:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.51/0.42 % (566661)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3965595973:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.51/0.42 % (566662)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=2170654175: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)
% 0.51/0.42 % (566664)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2393198902:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.51/0.42 % (566665)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=3968782760:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.51/0.42 % (566659)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1461277108:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.51/0.42 % (566661)Instruction limit reached!
% 0.51/0.42 % (566661)------------------------------
% 0.51/0.42 % (566661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.42 % (566661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.42 % (566661)CaDiCaL version: 2.1.3
% 0.51/0.42 % (566661)Termination reason: Instruction limit
% 0.51/0.42 % (566661)Termination phase: shuffling
% 0.51/0.42 % (566661)Time elapsed: 0.003 s
% 0.51/0.42 % (566661)Peak memory usage: 10 MB
% 0.51/0.42 % (566661)Instructions burned: 4 (million)
% 0.51/0.42 % (566663)Instruction limit reached!
% 0.51/0.42 % (566663)------------------------------
% 0.51/0.42 % (566663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.42 % (566663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.42 % (566663)CaDiCaL version: 2.1.3
% 0.51/0.42 % (566663)Termination reason: Instruction limit
% 0.51/0.42 % (566663)Termination phase: shuffling
% 0.51/0.42 % (566663)Time elapsed: 0.011 s
% 0.51/0.42 % (566663)Peak memory usage: 10 MB
% 0.51/0.42 % (566663)Instructions burned: 24 (million)
% 0.51/0.42 % (566674)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2878177851:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.51/0.42 % (566659)Instruction limit reached!
% 0.51/0.42 % (566659)------------------------------
% 0.51/0.42 % (566659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.42 % (566659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.42 % (566659)CaDiCaL version: 2.1.3
% 0.51/0.42 % (566659)Termination reason: Instruction limit
% 0.51/0.42 % (566659)Termination phase: Preprocessing 3
% 0.51/0.42 % (566659)Time elapsed: 0.023 s
% 0.51/0.42 % (566659)Peak memory usage: 12 MB
% 0.51/0.42 % (566659)Instructions burned: 91 (million)
% 0.51/0.42 % (566674)Instruction limit reached!
% 0.51/0.42 % (566674)------------------------------
% 0.51/0.42 % (566674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.42 % (566674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (566674)CaDiCaL version: 2.1.3
% 0.51/0.44 % (566674)Termination reason: Instruction limit
% 0.51/0.44 % (566674)Termination phase: shuffling
% 0.51/0.44 % (566674)Time elapsed: 0.003 s
% 0.51/0.44 % (566674)Peak memory usage: 10 MB
% 0.51/0.44 % (566674)Instructions burned: 6 (million)
% 0.51/0.44 % (566675)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.51/0.44 % (566675)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1980257866:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.51/0.44 % (566667)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2320473777:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.51/0.44 % (566678)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
% 0.51/0.44 % (566678)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.51/0.44 % (566667)Instruction limit reached!
% 0.51/0.44 % (566667)------------------------------
% 0.51/0.44 % (566667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (566667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (566667)CaDiCaL version: 2.1.3
% 0.51/0.44 % (566667)Termination reason: Instruction limit
% 0.51/0.44 % (566667)Termination phase: shuffling
% 0.51/0.44 % (566667)Time elapsed: 0.004 s
% 0.51/0.44 % (566667)Peak memory usage: 10 MB
% 0.51/0.44 % (566667)Instructions burned: 6 (million)
% 0.51/0.44 % (566675)Instruction limit reached!
% 0.51/0.44 % (566675)------------------------------
% 0.51/0.44 % (566675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (566675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (566675)CaDiCaL version: 2.1.3
% 0.51/0.44 % (566675)Termination reason: Instruction limit
% 0.51/0.44 % (566675)Termination phase: shuffling
% 0.51/0.44 % (566675)Time elapsed: 0.004 s
% 0.51/0.44 % (566675)Peak memory usage: 10 MB
% 0.51/0.44 % (566675)Instructions burned: 7 (million)
% 0.51/0.44 % (566678)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2404934170:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.51/0.44 % (566664)Instruction limit reached!
% 0.51/0.44 % (566664)------------------------------
% 0.51/0.44 % (566664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (566664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (566664)CaDiCaL version: 2.1.3
% 0.51/0.44 % (566664)Termination reason: Instruction limit
% 0.51/0.44 % (566664)Termination phase: Preprocessing 1
% 0.51/0.44 % (566664)Time elapsed: 0.042 s
% 0.51/0.44 % (566664)Peak memory usage: 11 MB
% 0.51/0.44 % (566664)Instructions burned: 75 (million)
% 0.51/0.44 % (566678)Instruction limit reached!
% 0.51/0.44 % (566678)------------------------------
% 0.51/0.44 % (566678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (566678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (566678)CaDiCaL version: 2.1.3
% 0.51/0.44 % (566678)Termination reason: Instruction limit
% 0.51/0.44 % (566678)Termination phase: shuffling
% 0.51/0.44 % (566678)Time elapsed: 0.007 s
% 0.51/0.44 % (566678)Peak memory usage: 11 MB
% 0.51/0.44 % (566678)Instructions burned: 30 (million)
% 0.51/0.44 % (566682)lrs+10_1_si=on:cs=on:random_seed=2513036150:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.51/0.44 % (566681)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=1497005076:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.51/0.44 % (566677)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4112388580:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.51/0.44 % (566685)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3811531521:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.51/0.44 % (566684)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.51/0.44 % (566682)Instruction limit reached!
% 0.51/0.44 % (566682)------------------------------
% 0.51/0.44 % (566682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (566682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (566682)CaDiCaL version: 2.1.3
% 0.51/0.44 % (566682)Termination reason: Instruction limit
% 0.51/0.44 % (566682)Termination phase: shuffling
% 0.51/0.44 % (566682)Time elapsed: 0.004 s
% 0.51/0.44 % (566682)Peak memory usage: 10 MB
% 0.51/0.44 % (566682)Instructions burned: 8 (million)
% 0.51/0.44 % (566677)Instruction limit reached!
% 0.51/0.44 % (566677)------------------------------
% 0.51/0.44 % (566677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (566677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (566677)CaDiCaL version: 2.1.3
% 0.51/0.44 % (566677)Termination reason: Instruction limit
% 0.51/0.44 % (566677)Termination phase: shuffling
% 0.51/0.44 % (566677)Time elapsed: 0.006 s
% 0.51/0.44 % (566677)Peak memory usage: 10 MB
% 0.51/0.44 % (566677)Instructions burned: 12 (million)
% 0.51/0.44 % (566684)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=1790037628:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.51/0.44 % (566684)Instruction limit reached!
% 0.51/0.44 % (566684)------------------------------
% 0.51/0.44 % (566684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (566685)Instruction limit reached!
% 0.51/0.44 % (566685)------------------------------
% 0.51/0.44 % (566685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (566684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (566685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (566684)CaDiCaL version: 2.1.3
% 0.51/0.44 % (566684)Termination reason: Instruction limit
% 0.51/0.44 % (566684)Termination phase: shuffling
% 0.51/0.44 % (566684)Time elapsed: 0.002 s
% 0.51/0.44 % (566685)CaDiCaL version: 2.1.3
% 0.51/0.44 % (566684)Peak memory usage: 10 MB
% 0.51/0.44 % (566685)Termination reason: Instruction limit
% 0.51/0.44 % (566685)Termination phase: shuffling
% 0.51/0.44 % (566684)Instructions burned: 2 (million)
% 0.51/0.44 % (566685)Time elapsed: 0.010 s
% 0.51/0.44 % (566685)Peak memory usage: 11 MB
% 0.51/0.44 % (566685)Instructions burned: 39 (million)
% 0.51/0.44 % (566665)Instruction limit reached!
% 0.51/0.44 % (566665)------------------------------
% 0.51/0.44 % (566665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (566665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (566665)CaDiCaL version: 2.1.3
% 0.51/0.44 % (566665)Termination reason: Instruction limit
% 0.51/0.44 % (566665)Termination phase: Property scanning
% 0.51/0.44 % (566665)Time elapsed: 0.073 s
% 0.51/0.44 % (566665)Peak memory usage: 13 MB
% 0.51/0.44 % (566665)Instructions burned: 157 (million)
% 0.51/0.44 % (566693)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3556921979:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.51/0.44 % (566690)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=580563886:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.51/0.44 % (566693)Instruction limit reached!
% 0.51/0.44 % (566693)------------------------------
% 0.51/0.44 % (566693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (566693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (566693)CaDiCaL version: 2.1.3
% 0.51/0.44 % (566693)Termination reason: Instruction limit
% 0.51/0.44 % (566693)Termination phase: shuffling
% 0.51/0.44 % (566693)Time elapsed: 0.004 s
% 0.51/0.44 % (566693)Peak memory usage: 10 MB
% 0.51/0.44 % (566693)Instructions burned: 15 (million)
% 0.51/0.44 % (566692)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1203358318:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.51/0.44 % (566694)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1482526190:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.51/0.44 % (566698)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2139038355: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)
% 0.51/0.44 % (566698)Instruction limit reached!
% 0.51/0.44 % (566698)------------------------------
% 0.51/0.44 % (566698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (566698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (566698)CaDiCaL version: 2.1.3
% 0.51/0.44 % (566698)Termination reason: Instruction limit
% 0.51/0.44 % (566698)Termination phase: shuffling
% 0.51/0.44 % (566698)Time elapsed: 0.002 s
% 0.51/0.44 % (566698)Peak memory usage: 10 MB
% 0.51/0.44 % (566698)Instructions burned: 6 (million)
% 0.51/0.44 % (566696)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=321902912:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.51/0.44 % (566681)Instruction limit reached!
% 0.51/0.44 % (566681)------------------------------
% 0.51/0.44 % (566681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (566681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (566681)CaDiCaL version: 2.1.3
% 0.51/0.44 % (566681)Termination reason: Instruction limit
% 0.51/0.44 % (566681)Termination phase: Preprocessing 1
% 0.51/0.44 % (566681)Time elapsed: 0.040 s
% 0.51/0.44 % (566681)Peak memory usage: 11 MB
% 0.51/0.44 % (566681)Instructions burned: 88 (million)
% 0.51/0.44 % (566662) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-566654-566662"...
% 0.51/0.44 % (566692)Instruction limit reached!
% 0.51/0.44 % (566692)------------------------------
% 0.51/0.44 % (566692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (566692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (566692)CaDiCaL version: 2.1.3
% 0.51/0.44 % (566692)Termination reason: Instruction limit
% 0.51/0.44 % (566692)Termination phase: shuffling
% 0.51/0.44 % (566692)Time elapsed: 0.013 s
% 0.51/0.44 % (566692)Peak memory usage: 10 MB
% 0.51/0.44 % (566692)Instructions burned: 27 (million)
% 0.51/0.44 % (566662)...printing done.
% 0.51/0.44 % (566662)Refutation found. Thanks to Tanya!
% 0.51/0.44 % SZS status Theorem for theBenchmark
% 0.51/0.44 % SZS output start Proof for theBenchmark
% 0.51/0.44 thf(type_def_5, type, multiset: $tType > $tType).
% 0.51/0.44 thf(type_def_6, type, fset: $tType > $tType).
% 0.51/0.44 thf(type_def_7, type, set: $tType > $tType).
% 0.51/0.44 thf(type_def_8, type, d: $tType).
% 0.51/0.44 thf(type_def_9, type, c: $tType).
% 0.51/0.44 thf(type_def_10, type, b: $tType).
% 0.51/0.44 thf(type_def_11, type, a: $tType).
% 0.51/0.44 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 0.51/0.44 thf(func_def_0, type, preorder: !>[X0: $tType]:($o)).
% 0.51/0.44 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 0.51/0.44 thf(func_def_2, type, plus: !>[X0: $tType]:($o)).
% 0.51/0.44 thf(func_def_3, type, order: !>[X0: $tType]:($o)).
% 0.51/0.44 thf(func_def_4, type, group_add: !>[X0: $tType]:($o)).
% 0.51/0.44 thf(func_def_5, type, semigroup_add: !>[X0: $tType]:($o)).
% 0.51/0.44 thf(func_def_6, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 0.51/0.44 thf(func_def_7, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 0.51/0.44 thf(func_def_8, type, comple1141879883l_ccpo: !>[X0: $tType]:($o)).
% 0.51/0.44 thf(func_def_9, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 0.51/0.44 thf(func_def_10, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 0.51/0.44 thf(func_def_11, type, comple187826305attice: !>[X0: $tType]:($o)).
% 0.51/0.44 thf(func_def_12, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.51/0.44 thf(func_def_13, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 0.51/0.44 thf(func_def_14, type, bNF_rel_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > (X0 > X2) > (X1 > X3) > $o))).
% 0.51/0.44 thf(func_def_15, type, comple939513234o_fixp: !>[X0: $tType]:(((X0 > X0) > X0))).
% 0.51/0.44 thf(func_def_16, type, comple1396247847notone: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X1 > $o) > (X0 > X1) > $o))).
% 0.51/0.44 thf(func_def_17, type, ffold: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > fset @ X0 > X1))).
% 0.51/0.44 thf(func_def_18, type, finite100568337ommute: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 0.51/0.44 thf(func_def_19, type, finite_comp_fun_idem: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 0.51/0.44 thf(func_def_20, type, finite852775215axioms: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 0.51/0.44 thf(func_def_21, type, finite_fold_graph: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > set @ X0 > X1 > $o))).
% 0.51/0.44 thf(func_def_22, type, finite_folding: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 0.51/0.44 thf(func_def_23, type, finite_folding_idem: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 0.51/0.44 thf(func_def_24, type, finite1921348288axioms: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 0.51/0.44 thf(func_def_25, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 0.51/0.44 thf(func_def_26, type, fun_upd: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X0 > X1))).
% 0.51/0.44 thf(func_def_27, type, map_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > (X1 > X2) > X0 > X3))).
% 0.51/0.44 thf(func_def_28, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.51/0.44 thf(func_def_29, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.51/0.44 thf(func_def_30, type, fold_mset: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X1 > multiset @ X0 > X1))).
% 0.51/0.44 thf(func_def_31, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.51/0.44 thf(func_def_32, type, order_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 0.51/0.44 thf(func_def_33, type, partial_fun_ord: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X2 > X0) > (X2 > X1) > $o))).
% 0.51/0.44 thf(func_def_34, type, bex1_rel: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > $o))).
% 0.51/0.44 thf(func_def_35, type, quotient3: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > (X1 > X0) > $o))).
% 0.51/0.44 thf(func_def_36, type, domainp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0 > $o))).
% 0.51/0.44 thf(func_def_37, type, reflp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 0.51/0.44 thf(func_def_38, type, relcompp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > $o))).
% 0.51/0.44 thf(func_def_39, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.51/0.44 thf(func_def_40, type, bi_total: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 0.51/0.44 thf(func_def_41, type, bi_unique: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 0.51/0.44 thf(func_def_42, type, left_total: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 0.51/0.44 thf(func_def_43, type, left_unique: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 0.51/0.44 thf(func_def_44, type, rev_implies: ($o > $o > $o)).
% 0.51/0.44 thf(func_def_45, type, right_total: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 0.51/0.44 thf(func_def_46, type, right_unique: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 0.51/0.44 thf(func_def_47, type, transfer_bforall: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > $o))).
% 0.51/0.44 thf(func_def_48, type, transfer_forall: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.51/0.44 thf(func_def_49, type, transitive_rtranclp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > $o))).
% 0.51/0.44 thf(func_def_50, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.51/0.44 thf(func_def_51, type, a2: (a > b > $o)).
% 0.51/0.44 thf(func_def_52, type, b2: (c > d > $o)).
% 0.51/0.44 thf(func_def_53, type, f1: (a > c > c)).
% 0.51/0.44 thf(func_def_54, type, f2: (b > d > d)).
% 0.51/0.44 thf(func_def_56, type, vIMP: ($o > $o > $o)).
% 0.51/0.44 thf(func_def_59, type, db1: !>[X0: $tType]:(X0)).
% 0.51/0.44 thf(func_def_60, type, db0: !>[X0: $tType]:(X0)).
% 0.51/0.44 thf(func_def_61, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.51/0.44 thf(func_def_62, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.51/0.44 thf(func_def_63, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.51/0.44 thf(func_def_64, type, db2: !>[X0: $tType]:(X0)).
% 0.51/0.44 thf(func_def_65, type, db3: !>[X0: $tType]:(X0)).
% 0.51/0.44 thf(func_def_66, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.51/0.44 thf(func_def_67, type, vAND: ($o > $o > $o)).
% 0.51/0.44 thf(func_def_68, type, db4: !>[X0: $tType]:(X0)).
% 0.51/0.44 thf(func_def_69, type, db6: !>[X0: $tType]:(X0)).
% 0.51/0.44 thf(func_def_70, type, db5: !>[X0: $tType]:(X0)).
% 0.51/0.44 thf(func_def_71, type, sP0: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0 > X0) > set @ X0 > $o))).
% 0.51/0.44 thf(func_def_72, type, sP1: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X1 > X0) > (X1 > X0) > $o))).
% 0.51/0.44 thf(func_def_73, type, sK2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X3 > X1 > X2) > (X3 > X4 > $o) > (X4 > X0 > X5) > (X2 > X5 > $o) > (X1 > X0 > $o) > X4))).
% 0.51/0.44 thf(func_def_74, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X3 > X1 > X2) > (X3 > X4 > $o) > (X4 > X0 > X5) > (X2 > X5 > $o) > (X1 > X0 > $o) > X3))).
% 0.51/0.44 thf(func_def_75, type, sK4: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0 > X0) > set @ X0 > X0))).
% 0.51/0.44 thf(func_def_76, type, sK5: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0 > X0) > set @ X0 > X1))).
% 0.51/0.44 thf(func_def_77, type, sK6: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0 > X0) > set @ X0 > (X1 > X0 > X0) > X0))).
% 0.51/0.44 thf(func_def_78, type, sK7: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0 > X0) > set @ X0 > (X1 > X0 > X0) > X1))).
% 0.51/0.44 thf(func_def_79, type, sK8: !>[X0: $tType, X1: $tType]:((X1 > (X1 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_80, type, sK9: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > (X0 > X0 > $o) > (X1 > X1 > $o) > X1))).
% 0.51/0.44 thf(func_def_81, type, sK10: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > (X0 > X0 > $o) > (X1 > X1 > $o) > X1))).
% 0.51/0.44 thf(func_def_82, type, sK11: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > (X0 > X1) > (X0 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_83, type, sK12: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > (X0 > X1) > (X0 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_84, type, sK13: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_85, type, sK14: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X1))).
% 0.51/0.44 thf(func_def_86, type, sK15: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_87, type, sK16: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_88, type, sK17: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.51/0.44 thf(func_def_89, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > X2 > (X1 > X2 > $o) > X0 > X1))).
% 0.51/0.44 thf(func_def_90, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > X3) > (X2 > X0 > $o) > (X0 > X1) > (X3 > X1 > $o) > X2))).
% 0.51/0.44 thf(func_def_91, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > X3) > (X2 > X0 > $o) > (X0 > X1) > (X3 > X1 > $o) > X0))).
% 0.51/0.44 thf(func_def_92, type, sK21: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > X1))).
% 0.51/0.44 thf(func_def_93, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > (X1 > X0) > X2 > X1))).
% 0.51/0.44 thf(func_def_94, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > (X1 > X0) > X2))).
% 0.51/0.44 thf(func_def_95, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X2 > X0) > (X1 > X0) > X1))).
% 0.51/0.44 thf(func_def_96, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X0 > (X1 > X2 > $o) > (X2 > X0 > $o) > X2))).
% 0.51/0.44 thf(func_def_97, type, sK26: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 0.51/0.44 thf(func_def_98, type, sK27: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_99, type, sK28: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_100, type, sK29: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 0.51/0.44 thf(func_def_101, type, sK30: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > X0))).
% 0.51/0.44 thf(func_def_102, type, sK31: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_103, type, sK32: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_104, type, sK33: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_105, type, sK34: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > (X0 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_106, type, sK35: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > (X0 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_107, type, sK36: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X0 > X1))).
% 0.51/0.44 thf(func_def_108, type, sK37: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X1))).
% 0.51/0.44 thf(func_def_109, type, sK38: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_110, type, sK39: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_111, type, sK40: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X0 > $o) > X1))).
% 0.51/0.44 thf(func_def_112, type, sK41: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0 > $o) > X1))).
% 0.51/0.44 thf(func_def_113, type, sK42: !>[X0: $tType, X1: $tType]:((X1 > (X1 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_114, type, sK43: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0))).
% 0.51/0.44 thf(func_def_115, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X0 > $o) > (X3 > X0) > X2 > X1 > (X0 > X2 > $o) > X3))).
% 0.51/0.44 thf(func_def_116, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X1) > (X0 > X2 > X2) > (X1 > X2) > X1))).
% 0.51/0.44 thf(func_def_117, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X1) > (X0 > X2 > X2) > (X1 > X2) > X0))).
% 0.51/0.44 thf(func_def_118, type, sK47: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > X1))).
% 0.51/0.44 thf(func_def_119, type, sK48: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > X1))).
% 0.51/0.44 thf(func_def_120, type, sK49: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X1 > X0) > (X1 > X0) > X1))).
% 0.51/0.44 thf(func_def_121, type, sK50: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > X1 > X0 > (X0 > X1) > X0))).
% 0.51/0.44 thf(func_def_122, type, sK51: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > X0 > (X0 > X1) > X0))).
% 0.51/0.44 thf(func_def_123, type, sK52: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > X0 > (X0 > X1) > X0))).
% 0.51/0.44 thf(func_def_124, type, sK53: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > X1))).
% 0.51/0.44 thf(func_def_125, type, sK54: !>[X0: $tType, X1: $tType]:(((X1 > X0 > X0) > X1))).
% 0.51/0.44 thf(func_def_126, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (X0 > X1) > X1 > X2))).
% 0.51/0.44 thf(func_def_127, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (X0 > X1) > X0))).
% 0.51/0.44 thf(func_def_128, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (X0 > X1) > X0))).
% 0.51/0.44 thf(func_def_129, type, sK58: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_130, type, sK59: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.51/0.44 thf(func_def_131, type, sK60: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_132, type, sK61: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_133, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X2 > X1 > $o) > (X2 > X0 > $o) > X1))).
% 0.51/0.44 thf(func_def_134, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X2 > X1 > $o) > (X2 > X0 > $o) > X2))).
% 0.51/0.44 thf(func_def_135, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X2 > X1 > $o) > (X2 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_136, type, sK65: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_137, type, sK66: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X1 > X0 > X0) > X0))).
% 0.51/0.44 thf(func_def_138, type, sK67: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X1 > X0 > X0) > X1))).
% 0.51/0.44 thf(func_def_139, type, sK68: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X1 > X0 > X0) > (X1 > X0 > X0) > X1))).
% 0.51/0.44 thf(func_def_140, type, sK69: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X1 > X0 > X0) > (X1 > X0 > X0) > X0))).
% 0.51/0.44 thf(func_def_141, type, sK70: !>[X0: $tType]:((X0 > set @ X0 > set @ X0 > X0))).
% 0.51/0.44 thf(func_def_142, type, sK71: !>[X0: $tType]:((X0 > set @ X0 > set @ X0 > X0))).
% 0.51/0.44 thf(func_def_143, type, sK72: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0))).
% 0.51/0.44 thf(func_def_144, type, sK73: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X1))).
% 0.51/0.44 thf(func_def_145, type, sK74: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_146, type, sK75: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X1))).
% 0.51/0.44 thf(func_def_147, type, sK76: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 0.51/0.44 thf(func_def_148, type, sK77: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 0.51/0.44 thf(func_def_149, type, sK78: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X0))).
% 0.51/0.44 thf(func_def_150, type, sK79: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X1))).
% 0.51/0.44 thf(func_def_151, type, vNOT: ($o > $o)).
% 0.51/0.44 thf(f1,axiom,(
% 0.51/0.44 (finite100568337ommute @ a @ c @ f1)),
% 0.51/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms_I2_J)).
% 0.51/0.44 thf(f284,conjecture,(
% 0.51/0.44 (finite100568337ommute @ a @ c @ f1)),
% 0.51/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.51/0.44 thf(f285,negated_conjecture,(
% 0.51/0.44 ~(finite100568337ommute @ a @ c @ f1)),
% 0.51/0.44 inference(negated_conjecture,[status(cth)],[f284])).
% 0.51/0.44 thf(f458,plain,(
% 0.51/0.44 ~(finite100568337ommute @ a @ c @ f1)),
% 0.51/0.44 inference(rectify,[],[f285])).
% 0.51/0.44 thf(f459,plain,(
% 0.51/0.44 ~ (((finite100568337ommute @ a @ c @ f1)) = $true)),
% 0.51/0.44 inference(fool_elimination,[],[f458])).
% 0.51/0.44 thf(f554,plain,(
% 0.51/0.44 (finite100568337ommute @ a @ c @ f1)),
% 0.51/0.44 inference(rectify,[],[f1])).
% 0.51/0.44 thf(f555,plain,(
% 0.51/0.44 (((finite100568337ommute @ a @ c @ f1)) = $true)),
% 0.51/0.44 inference(fool_elimination,[],[f554])).
% 0.51/0.44 thf(f804,plain,(
% 0.51/0.44 (((finite100568337ommute @ a @ c @ f1)) != $true)),
% 0.51/0.44 inference(flattening,[],[f459])).
% 0.51/0.44 thf(f1363,plain,(
% 0.51/0.44 (((finite100568337ommute @ a @ c @ f1)) != $true)),
% 0.51/0.44 inference(cnf_transformation,[],[f804])).
% 0.51/0.44 thf(f1600,plain,(
% 0.51/0.44 (((finite100568337ommute @ a @ c @ f1)) = $true)),
% 0.51/0.44 inference(cnf_transformation,[],[f555])).
% 0.51/0.44 thf(f1829,definition,(
% 0.51/0.44 spl80_4 <=> (((finite100568337ommute @ a @ c @ f1)) = $true)),
% 0.51/0.44 introduced(definition,[new_symbols(definition,[spl80_4])],[avatar_definition])).
% 0.51/0.44 thf(f1832,plain,(
% 0.51/0.44 spl80_4),
% 0.51/0.44 inference(avatar_split_clause,[],[f1600,f1829])).
% 0.51/0.44 thf(f1853,plain,(
% 0.51/0.44 ~spl80_4),
% 0.51/0.44 inference(avatar_split_clause,[],[f1363,f1829])).
% 0.51/0.44 cnf(s4, plain, spl80_4, inference(sat_conversion,[],[f1832])).
% 0.51/0.44 cnf(s9, plain, ~spl80_4, inference(sat_conversion,[],[f1853])).
% 0.51/0.44 cnf(s10, plain, $false, inference(rat,[],[s4,s9])).
% 0.51/0.44 thf(f1854,plain,(
% 0.51/0.44 $false),
% 0.51/0.44 inference(avatar_sat_refutation,[],[s10])).
% 0.51/0.44 % SZS output end Proof for theBenchmark
% 0.51/0.44 % (566662)------------------------------
% 0.51/0.44 % (566662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (566662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (566662)CaDiCaL version: 2.1.3
% 0.51/0.44 % (566662)Termination reason: Refutation
% 0.51/0.44 % (566662)Time elapsed: 0.096 s
% 0.51/0.44 % (566662)Peak memory usage: 15 MB
% 0.51/0.44 % (566662)Instructions burned: 200 (million)
% 0.51/0.44 % (566654)Success in time 0.159 s
% 0.51/0.44 % Vampire exiting
%------------------------------------------------------------------------------