%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP163^1 : 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 : n016.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 08:08:37 AM UTC 2026
% Result : Theorem 0.57s 0.44s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP163^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n016.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 20:09:05 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
% 0.20/0.27 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
% 0.57/0.41 % (844896)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.57/0.41 % (844907)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.57/0.41 % (844907)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
% 0.57/0.41 % (844907)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=1671811454:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.57/0.41 % (844902)lrs+10_16_si=on:nwc=1.5:random_seed=3853319483:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.57/0.41 % (844901)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2337377430:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.57/0.41 % (844903)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1110552391:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.57/0.41 % (844904)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=165942301: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)
% 0.57/0.41 % (844905)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3088253915:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.57/0.41 % (844906)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=381152648:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.57/0.41 % (844903)Instruction limit reached!
% 0.57/0.41 % (844903)------------------------------
% 0.57/0.41 % (844903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (844903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (844903)CaDiCaL version: 2.1.3
% 0.57/0.41 % (844903)Termination reason: Instruction limit
% 0.57/0.41 % (844903)Termination phase: shuffling
% 0.57/0.41 % (844903)Time elapsed: 0.002 s
% 0.57/0.41 % (844903)Peak memory usage: 10 MB
% 0.57/0.41 % (844903)Instructions burned: 3 (million)
% 0.57/0.41 % (844902)Instruction limit reached!
% 0.57/0.41 % (844902)------------------------------
% 0.57/0.41 % (844902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (844902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (844902)CaDiCaL version: 2.1.3
% 0.57/0.41 % (844902)Termination reason: Instruction limit
% 0.57/0.41 % (844902)Termination phase: Property scanning
% 0.57/0.41 % (844902)Time elapsed: 0.009 s
% 0.57/0.41 % (844902)Peak memory usage: 10 MB
% 0.57/0.41 % (844902)Instructions burned: 19 (million)
% 0.57/0.41 % (844905)Instruction limit reached!
% 0.57/0.41 % (844905)------------------------------
% 0.57/0.41 % (844905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (844905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (844905)CaDiCaL version: 2.1.3
% 0.57/0.41 % (844905)Termination reason: Instruction limit
% 0.57/0.41 % (844905)Termination phase: Property scanning
% 0.57/0.41 % (844905)Time elapsed: 0.010 s
% 0.57/0.41 % (844905)Peak memory usage: 10 MB
% 0.57/0.41 % (844905)Instructions burned: 24 (million)
% 0.57/0.41 % (844915)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1424793555:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.57/0.41 % (844915)Instruction limit reached!
% 0.57/0.41 % (844915)------------------------------
% 0.57/0.41 % (844915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (844915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (844915)CaDiCaL version: 2.1.3
% 0.57/0.41 % (844915)Termination reason: Instruction limit
% 0.57/0.41 % (844915)Termination phase: shuffling
% 0.57/0.41 % (844915)Time elapsed: 0.003 s
% 0.57/0.41 % (844915)Peak memory usage: 10 MB
% 0.57/0.41 % (844915)Instructions burned: 6 (million)
% 0.57/0.41 % (844916)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=111132870:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.57/0.41 % (844917)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.57/0.44 % (844907)Instruction limit reached!
% 0.57/0.44 % (844907)------------------------------
% 0.57/0.44 % (844907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (844907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (844907)CaDiCaL version: 2.1.3
% 0.57/0.44 % (844907)Termination reason: Instruction limit
% 0.57/0.44 % (844907)Termination phase: Saturation
% 0.57/0.44 % (844907)Time elapsed: 0.038 s
% 0.57/0.44 % (844907)Peak memory usage: 14 MB
% 0.57/0.44 % (844907)Instructions burned: 158 (million)
% 0.57/0.44 % (844916)Instruction limit reached!
% 0.57/0.44 % (844916)------------------------------
% 0.57/0.44 % (844916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (844916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (844916)CaDiCaL version: 2.1.3
% 0.57/0.44 % (844916)Termination reason: Instruction limit
% 0.57/0.44 % (844916)Termination phase: shuffling
% 0.57/0.44 % (844916)Time elapsed: 0.003 s
% 0.57/0.44 % (844916)Peak memory usage: 10 MB
% 0.57/0.44 % (844916)Instructions burned: 5 (million)
% 0.57/0.44 % (844917)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3142861642:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.57/0.44 % (844906)Instruction limit reached!
% 0.57/0.44 % (844906)------------------------------
% 0.57/0.44 % (844906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (844906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (844906)CaDiCaL version: 2.1.3
% 0.57/0.44 % (844906)Termination reason: Instruction limit
% 0.57/0.44 % (844906)Termination phase: Function definition elimination
% 0.57/0.44 % (844906)Time elapsed: 0.034 s
% 0.57/0.44 % (844906)Peak memory usage: 12 MB
% 0.57/0.44 % (844906)Instructions burned: 77 (million)
% 0.57/0.44 % (844917)Instruction limit reached!
% 0.57/0.44 % (844917)------------------------------
% 0.57/0.44 % (844917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (844917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (844917)CaDiCaL version: 2.1.3
% 0.57/0.44 % (844917)Termination reason: Instruction limit
% 0.57/0.44 % (844917)Termination phase: shuffling
% 0.57/0.44 % (844917)Time elapsed: 0.004 s
% 0.57/0.44 % (844917)Peak memory usage: 10 MB
% 0.57/0.44 % (844917)Instructions burned: 8 (million)
% 0.57/0.44 % (844901)Instruction limit reached!
% 0.57/0.44 % (844901)------------------------------
% 0.57/0.44 % (844901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (844901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (844901)CaDiCaL version: 2.1.3
% 0.57/0.44 % (844901)Termination reason: Instruction limit
% 0.57/0.44 % (844901)Termination phase: Property scanning
% 0.57/0.44 % (844901)Time elapsed: 0.041 s
% 0.57/0.44 % (844901)Peak memory usage: 12 MB
% 0.57/0.44 % (844901)Instructions burned: 88 (million)
% 0.57/0.44 % (844922)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=1847421692:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.57/0.44 % (844921)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
% 0.57/0.44 % (844921)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.57/0.44 % (844920)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3599370849:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.57/0.44 % (844921)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2090657032:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.57/0.44 % (844925)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.57/0.44 % (844920)Instruction limit reached!
% 0.57/0.44 % (844920)------------------------------
% 0.57/0.44 % (844920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (844920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (844920)CaDiCaL version: 2.1.3
% 0.57/0.44 % (844920)Termination reason: Instruction limit
% 0.57/0.44 % (844920)Termination phase: shuffling
% 0.57/0.44 % (844920)Time elapsed: 0.006 s
% 0.57/0.44 % (844920)Peak memory usage: 10 MB
% 0.57/0.44 % (844920)Instructions burned: 14 (million)
% 0.57/0.44 % (844924)lrs+10_1_si=on:cs=on:random_seed=2866949762:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.57/0.44 % (844925)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=1984484345:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.57/0.44 % (844925)Instruction limit reached!
% 0.57/0.44 % (844925)------------------------------
% 0.57/0.44 % (844925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (844925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (844925)CaDiCaL version: 2.1.3
% 0.57/0.44 % (844925)Termination reason: Instruction limit
% 0.57/0.44 % (844925)Termination phase: shuffling
% 0.57/0.44 % (844925)Time elapsed: 0.002 s
% 0.57/0.44 % (844925)Peak memory usage: 10 MB
% 0.57/0.44 % (844925)Instructions burned: 3 (million)
% 0.57/0.44 % (844924)Instruction limit reached!
% 0.57/0.44 % (844924)------------------------------
% 0.57/0.44 % (844924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (844924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (844924)CaDiCaL version: 2.1.3
% 0.57/0.44 % (844924)Termination reason: Instruction limit
% 0.57/0.44 % (844924)Termination phase: shuffling
% 0.57/0.44 % (844924)Time elapsed: 0.004 s
% 0.57/0.44 % (844924)Peak memory usage: 10 MB
% 0.57/0.44 % (844924)Instructions burned: 8 (million)
% 0.57/0.44 % (844927)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3429455135:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.57/0.44 % (844922)Instruction limit reached!
% 0.57/0.44 % (844922)------------------------------
% 0.57/0.44 % (844922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (844922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (844922)CaDiCaL version: 2.1.3
% 0.57/0.44 % (844922)Termination reason: Instruction limit
% 0.57/0.44 % (844922)Termination phase: Property scanning
% 0.57/0.44 % (844922)Time elapsed: 0.019 s
% 0.57/0.44 % (844922)Peak memory usage: 11 MB
% 0.57/0.44 % (844922)Instructions burned: 86 (million)
% 0.57/0.44 % (844921)Instruction limit reached!
% 0.57/0.44 % (844921)------------------------------
% 0.57/0.44 % (844921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (844921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (844921)CaDiCaL version: 2.1.3
% 0.57/0.44 % (844921)Termination reason: Instruction limit
% 0.57/0.44 % (844921)Termination phase: shuffling
% 0.57/0.44 % (844921)Time elapsed: 0.013 s
% 0.57/0.44 % (844921)Peak memory usage: 10 MB
% 0.57/0.44 % (844921)Instructions burned: 28 (million)
% 0.57/0.44 % (844930)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1720257843:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.57/0.44 % (844933)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=614986497:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.57/0.44 % (844934)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3501794685:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.57/0.44 % (844927)Instruction limit reached!
% 0.57/0.44 % (844927)------------------------------
% 0.57/0.44 % (844927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (844927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (844927)CaDiCaL version: 2.1.3
% 0.57/0.44 % (844927)Termination reason: Instruction limit
% 0.57/0.44 % (844927)Termination phase: Preprocessing 3
% 0.57/0.44 % (844927)Time elapsed: 0.017 s
% 0.57/0.44 % (844927)Peak memory usage: 11 MB
% 0.57/0.44 % (844927)Instructions burned: 38 (million)
% 0.57/0.44 % (844936)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2139504672:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.57/0.44 % (844937)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1187843076:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.57/0.44 % (844934)Instruction limit reached!
% 0.57/0.44 % (844934)------------------------------
% 0.57/0.44 % (844934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (844934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (844934)CaDiCaL version: 2.1.3
% 0.57/0.44 % (844934)Termination reason: Instruction limit
% 0.57/0.44 % (844934)Termination phase: shuffling
% 0.57/0.44 % (844934)Time elapsed: 0.007 s
% 0.57/0.44 % (844934)Peak memory usage: 10 MB
% 0.57/0.44 % (844934)Instructions burned: 16 (million)
% 0.57/0.44 % (844933)Instruction limit reached!
% 0.57/0.44 % (844933)------------------------------
% 0.57/0.44 % (844933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (844933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (844933)CaDiCaL version: 2.1.3
% 0.57/0.44 % (844933)Termination reason: Instruction limit
% 0.57/0.44 % (844933)Termination phase: Property scanning
% 0.57/0.44 % (844933)Time elapsed: 0.011 s
% 0.57/0.44 % (844933)Peak memory usage: 10 MB
% 0.57/0.44 % (844933)Instructions burned: 27 (million)
% 0.57/0.44 % (844937)Instruction limit reached!
% 0.57/0.44 % (844937)------------------------------
% 0.57/0.44 % (844937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (844937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (844937)CaDiCaL version: 2.1.3
% 0.57/0.44 % (844937)Termination reason: Instruction limit
% 0.57/0.44 % (844937)Termination phase: shuffling
% 0.57/0.44 % (844937)Time elapsed: 0.007 s
% 0.57/0.44 % (844937)Peak memory usage: 10 MB
% 0.57/0.44 % (844937)Instructions burned: 16 (million)
% 0.57/0.44 % (844941)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1235263346: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)
% 0.57/0.44 % (844941)Instruction limit reached!
% 0.57/0.44 % (844941)------------------------------
% 0.57/0.44 % (844941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (844941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (844941)CaDiCaL version: 2.1.3
% 0.57/0.44 % (844941)Termination reason: Instruction limit
% 0.57/0.44 % (844941)Termination phase: shuffling
% 0.57/0.44 % (844941)Time elapsed: 0.002 s
% 0.57/0.44 % (844941)Peak memory usage: 10 MB
% 0.57/0.44 % (844941)Instructions burned: 3 (million)
% 0.57/0.44 % (844944)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1466031452:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.57/0.44 % (844930) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-844896-844930"...
% 0.57/0.44 % (844945)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3195595559:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.57/0.44 % (844946)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=650106397:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.57/0.44 % (844930)...printing done.
% 0.57/0.44 % (844930)Refutation found. Thanks to Tanya!
% 0.57/0.44 % SZS status Theorem for theBenchmark
% 0.57/0.44 % SZS output start Proof for theBenchmark
% 0.57/0.44 thf(type_def_5, type, set_Pr384614482nres_a: $tType).
% 0.57/0.44 thf(type_def_6, type, produc1609974940nres_a: $tType).
% 0.57/0.44 thf(type_def_7, type, refine424419629nres_a: $tType).
% 0.57/0.44 thf(type_def_8, type, set_set_a: $tType).
% 0.57/0.44 thf(type_def_9, type, set_a: $tType).
% 0.57/0.44 thf(type_def_10, type, a: $tType).
% 0.57/0.44 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 0.57/0.44 thf(func_def_0, type, bNF_Ca459084161nres_a: (set_Pr384614482nres_a > (refine424419629nres_a > refine424419629nres_a) > $o)).
% 0.57/0.44 thf(func_def_1, type, bNF_Ca953716171_set_a: (set_Pr384614482nres_a > (refine424419629nres_a > set_a) > $o)).
% 0.57/0.44 thf(func_def_2, type, if_Ref1724547303nres_a: ($o > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_3, type, if_set_a: ($o > set_a > set_a > set_a)).
% 0.57/0.44 thf(func_def_4, type, ord_le1480771457nres_a: (refine424419629nres_a > refine424419629nres_a > $o)).
% 0.57/0.44 thf(func_def_5, type, ord_less_set_a: (set_a > set_a > $o)).
% 0.57/0.44 thf(func_def_6, type, ord_le519537037nres_a: (refine424419629nres_a > refine424419629nres_a > $o)).
% 0.57/0.44 thf(func_def_7, type, ord_less_eq_set_a: (set_a > set_a > $o)).
% 0.57/0.44 thf(func_def_8, type, order_1714329108nres_a: ((refine424419629nres_a > $o) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_9, type, order_Greatest_set_a: ((set_a > $o) > set_a)).
% 0.57/0.44 thf(func_def_10, type, produc1136923598nres_a: (refine424419629nres_a > refine424419629nres_a > produc1609974940nres_a)).
% 0.57/0.44 thf(func_def_11, type, refine2063221604TURN_a: (a > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_12, type, refine1001002027nres_a: (refine424419629nres_a > a > $o)).
% 0.57/0.44 thf(func_def_13, type, refine1048213316_rel_a: (produc1609974940nres_a > produc1609974940nres_a > $o)).
% 0.57/0.44 thf(func_def_14, type, refine260105272_rel_a: (produc1609974940nres_a > produc1609974940nres_a > $o)).
% 0.57/0.44 thf(func_def_15, type, refine1312857699nres_a: (refine424419629nres_a > a > $o)).
% 0.57/0.44 thf(func_def_16, type, refine412683989fail_a: (refine424419629nres_a > $o)).
% 0.57/0.44 thf(func_def_17, type, refine464223677AILi_a: refine424419629nres_a).
% 0.57/0.44 thf(func_def_18, type, refine1198353288_RES_a: (set_a > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_19, type, refine1822134885_RES_a: (refine424419629nres_a > set_a)).
% 0.57/0.44 thf(func_def_20, type, collect_a: ((a > $o) > set_a)).
% 0.57/0.44 thf(func_def_21, type, accp_P624619091nres_a: ((produc1609974940nres_a > produc1609974940nres_a > $o) > produc1609974940nres_a > $o)).
% 0.57/0.44 thf(func_def_22, type, chain_subset_a: (set_set_a > $o)).
% 0.57/0.44 thf(func_def_23, type, member1468928819nres_a: (produc1609974940nres_a > set_Pr384614482nres_a > $o)).
% 0.57/0.44 thf(func_def_24, type, member_set_a: (set_a > set_set_a > $o)).
% 0.57/0.44 thf(func_def_25, type, member_a: (a > set_a > $o)).
% 0.57/0.44 thf(func_def_26, type, phi: (a > $o)).
% 0.57/0.44 thf(func_def_27, type, x: a).
% 0.57/0.44 thf(func_def_31, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.57/0.44 thf(func_def_32, type, vIMP: ($o > $o > $o)).
% 0.57/0.44 thf(func_def_33, type, db0: !>[X0: $tType]:(X0)).
% 0.57/0.44 thf(func_def_34, type, db2: !>[X0: $tType]:(X0)).
% 0.57/0.44 thf(func_def_35, type, db1: !>[X0: $tType]:(X0)).
% 0.57/0.44 thf(func_def_36, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.57/0.44 thf(func_def_37, type, vOR: ($o > $o > $o)).
% 0.57/0.44 thf(func_def_38, type, vNOT: ($o > $o)).
% 0.57/0.44 thf(func_def_39, type, vAND: ($o > $o > $o)).
% 0.57/0.44 thf(func_def_40, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.57/0.44 thf(func_def_41, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.57/0.44 thf(func_def_42, type, db3: !>[X0: $tType]:(X0)).
% 0.57/0.44 thf(func_def_43, type, sK0: ((set_a > refine424419629nres_a) > set_a)).
% 0.57/0.44 thf(func_def_44, type, sK1: ((set_a > refine424419629nres_a) > set_a)).
% 0.57/0.44 thf(func_def_45, type, sK2: (refine424419629nres_a > refine424419629nres_a > set_a)).
% 0.57/0.44 thf(func_def_46, type, sK3: (refine424419629nres_a > refine424419629nres_a > set_a)).
% 0.57/0.44 thf(func_def_47, type, sK4: (refine424419629nres_a > refine424419629nres_a > set_a)).
% 0.57/0.44 thf(func_def_48, type, sK5: (refine424419629nres_a > refine424419629nres_a > set_a)).
% 0.57/0.44 thf(func_def_49, type, sK6: (refine424419629nres_a > set_a)).
% 0.57/0.44 thf(func_def_50, type, sK7: ((refine424419629nres_a > refine424419629nres_a) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_51, type, sK8: ((refine424419629nres_a > refine424419629nres_a) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_52, type, sK9: ((set_a > set_a) > set_a)).
% 0.57/0.44 thf(func_def_53, type, sK10: ((set_a > set_a) > set_a)).
% 0.57/0.44 thf(func_def_54, type, sK11: ((refine424419629nres_a > refine424419629nres_a > $o) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_55, type, sK12: ((refine424419629nres_a > refine424419629nres_a > $o) > set_a)).
% 0.57/0.44 thf(func_def_56, type, sK13: ((refine424419629nres_a > refine424419629nres_a > $o) > set_a)).
% 0.57/0.44 thf(func_def_57, type, sK14: ((refine424419629nres_a > refine424419629nres_a > $o) > set_a)).
% 0.57/0.44 thf(func_def_58, type, sK15: ((a > $o) > (a > $o) > a)).
% 0.57/0.44 thf(func_def_59, type, sK16: (produc1609974940nres_a > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_60, type, sK17: (produc1609974940nres_a > set_a)).
% 0.57/0.44 thf(func_def_61, type, sK18: (produc1609974940nres_a > set_a)).
% 0.57/0.44 thf(func_def_62, type, sK19: (produc1609974940nres_a > set_a)).
% 0.57/0.44 thf(func_def_63, type, sK20: ((set_a > refine424419629nres_a) > set_a)).
% 0.57/0.44 thf(func_def_64, type, sK21: ((set_a > refine424419629nres_a) > set_a)).
% 0.57/0.44 thf(func_def_65, type, sK22: (refine424419629nres_a > set_a)).
% 0.57/0.44 thf(func_def_66, type, sK23: (refine424419629nres_a > refine424419629nres_a > set_a)).
% 0.57/0.44 thf(func_def_67, type, sK24: (refine424419629nres_a > refine424419629nres_a > set_a)).
% 0.57/0.44 thf(func_def_68, type, sK25: ((refine424419629nres_a > set_a) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_69, type, sK26: ((refine424419629nres_a > set_a) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_70, type, sK27: (produc1609974940nres_a > set_a)).
% 0.57/0.44 thf(func_def_71, type, sK28: (produc1609974940nres_a > set_a)).
% 0.57/0.44 thf(func_def_72, type, sK29: (produc1609974940nres_a > set_a)).
% 0.57/0.44 thf(func_def_73, type, sK30: (produc1609974940nres_a > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_74, type, sK31: ((refine424419629nres_a > $o) > set_a)).
% 0.57/0.44 thf(func_def_75, type, sK32: ((set_a > set_a) > set_a)).
% 0.57/0.44 thf(func_def_76, type, sK33: ((set_a > set_a) > set_a)).
% 0.57/0.44 thf(func_def_77, type, sK34: ((refine424419629nres_a > refine424419629nres_a) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_78, type, sK35: ((refine424419629nres_a > refine424419629nres_a) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_79, type, sK36: ((refine424419629nres_a > set_a) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_80, type, sK37: ((refine424419629nres_a > set_a) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_81, type, sK38: ((refine424419629nres_a > refine424419629nres_a > $o) > set_a)).
% 0.57/0.44 thf(func_def_82, type, sK39: ((refine424419629nres_a > refine424419629nres_a > $o) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_83, type, sK40: ((refine424419629nres_a > refine424419629nres_a > $o) > set_a)).
% 0.57/0.44 thf(func_def_84, type, sK41: ((refine424419629nres_a > refine424419629nres_a > $o) > set_a)).
% 0.57/0.44 thf(func_def_85, type, sK42: ((set_a > refine424419629nres_a) > set_a)).
% 0.57/0.44 thf(func_def_86, type, sK43: ((set_a > refine424419629nres_a) > set_a)).
% 0.57/0.44 thf(func_def_87, type, sK44: (refine424419629nres_a > refine424419629nres_a > set_a)).
% 0.57/0.44 thf(func_def_88, type, sK45: (refine424419629nres_a > refine424419629nres_a > set_a)).
% 0.57/0.44 thf(func_def_89, type, sK46: (refine424419629nres_a > set_a)).
% 0.57/0.44 thf(func_def_90, type, sK47: ((set_a > set_a) > set_a)).
% 0.57/0.44 thf(func_def_91, type, sK48: ((set_a > set_a) > set_a)).
% 0.57/0.44 thf(func_def_92, type, sK49: ((refine424419629nres_a > refine424419629nres_a) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_93, type, sK50: ((refine424419629nres_a > refine424419629nres_a) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_94, type, sK51: ((set_a > set_a) > set_a)).
% 0.57/0.44 thf(func_def_95, type, sK52: ((set_a > set_a) > set_a)).
% 0.57/0.44 thf(func_def_96, type, sK53: ((refine424419629nres_a > refine424419629nres_a > $o) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_97, type, sK54: ((refine424419629nres_a > refine424419629nres_a > $o) > set_a)).
% 0.57/0.44 thf(func_def_98, type, sK55: ((refine424419629nres_a > refine424419629nres_a > $o) > set_a)).
% 0.57/0.44 thf(func_def_99, type, sK56: ((refine424419629nres_a > refine424419629nres_a > $o) > set_a)).
% 0.57/0.44 thf(func_def_100, type, sK57: ((refine424419629nres_a > set_a) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_101, type, sK58: ((refine424419629nres_a > set_a) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_102, type, sK59: ((refine424419629nres_a > set_a) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_103, type, sK60: ((refine424419629nres_a > set_a) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_104, type, sK61: (produc1609974940nres_a > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_105, type, sK62: (produc1609974940nres_a > set_a)).
% 0.57/0.44 thf(func_def_106, type, sK63: (produc1609974940nres_a > set_a)).
% 0.57/0.44 thf(func_def_107, type, sK64: (produc1609974940nres_a > set_a)).
% 0.57/0.44 thf(func_def_108, type, sK65: ((refine424419629nres_a > refine424419629nres_a) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_109, type, sK66: ((refine424419629nres_a > refine424419629nres_a) > refine424419629nres_a)).
% 0.57/0.44 thf(func_def_110, type, sK67: ((a > $o) > (a > $o) > a)).
% 0.57/0.44 thf(func_def_111, type, sK68: ((set_a > refine424419629nres_a) > set_a)).
% 0.57/0.44 thf(func_def_112, type, sK69: ((set_a > refine424419629nres_a) > set_a)).
% 0.57/0.44 thf(f3,axiom,(
% 0.57/0.44 ! [X1 : a,X0 : set_a] : (((refine1312857699nres_a @ (refine1198353288_RES_a @ X0) @ X1)) = ((member_a @ X1 @ X0)))),
% 0.57/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_nf__inres__RES)).
% 0.57/0.44 thf(f18,axiom,(
% 0.57/0.44 ((^[X0 : refine424419629nres_a, X1 : a] : ((refine412683989fail_a @ X0) & (refine1001002027nres_a @ X0 @ X1))) = refine1312857699nres_a)),
% 0.57/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_nf__inres__def)).
% 0.57/0.44 thf(f42,axiom,(
% 0.57/0.44 ! [X1 : (a > $o),X0 : a] : (((member_a @ X0 @ (collect_a @ X1))) = ((X1 @ X0)))),
% 0.57/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_mem__Collect__eq)).
% 0.57/0.44 thf(f270,conjecture,(
% 0.57/0.44 (((refine1312857699nres_a @ (refine1198353288_RES_a @ (collect_a @ phi)) @ x)) = ((phi @ x)))),
% 0.57/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.57/0.44 thf(f271,negated_conjecture,(
% 0.57/0.44 ~ (((refine1312857699nres_a @ (refine1198353288_RES_a @ (collect_a @ phi)) @ x)) = ((phi @ x)))),
% 0.57/0.44 inference(negated_conjecture,[status(cth)],[f270])).
% 0.57/0.44 thf(f474,plain,(
% 0.57/0.44 ((^[X0 : refine424419629nres_a, X1 : a] : ((refine412683989fail_a @ X0) & (refine1001002027nres_a @ X0 @ X1))) = refine1312857699nres_a)),
% 0.57/0.44 inference(rectify,[],[f18])).
% 0.57/0.44 thf(f475,plain,(
% 0.57/0.44 (refine1312857699nres_a = (^[Y0 : refine424419629nres_a]: ((^[Y1 : a]: ((refine1001002027nres_a @ Y0 @ Y1) & (refine412683989fail_a @ Y0))))))),
% 0.57/0.44 inference(fool_elimination,[],[f474])).
% 0.57/0.44 thf(f769,plain,(
% 0.57/0.44 (((refine1312857699nres_a @ (refine1198353288_RES_a @ (collect_a @ phi)) @ x)) != ((phi @ x)))),
% 0.57/0.44 inference(flattening,[],[f271])).
% 0.57/0.44 thf(f771,plain,(
% 0.57/0.44 ! [X1 : set_a,X0 : a] : (((member_a @ X0 @ X1)) = ((refine1312857699nres_a @ (refine1198353288_RES_a @ X1) @ X0)))),
% 0.57/0.44 inference(rectify,[],[f3])).
% 0.57/0.44 thf(f903,plain,(
% 0.57/0.44 ! [X0 : set_a,X1 : a] : (((refine1312857699nres_a @ (refine1198353288_RES_a @ X0) @ X1)) = ((member_a @ X1 @ X0)))),
% 0.57/0.44 inference(rectify,[],[f771])).
% 0.57/0.44 thf(f919,plain,(
% 0.57/0.44 ! [X0 : (a > $o),X1 : a] : (((X0 @ X1)) = ((member_a @ X1 @ (collect_a @ X0))))),
% 0.57/0.44 inference(rectify,[],[f42])).
% 0.57/0.44 thf(f991,plain,(
% 0.57/0.44 ( ! [X0 : set_a,X1 : a] : ((((refine1312857699nres_a @ (refine1198353288_RES_a @ X0) @ X1)) = ((member_a @ X1 @ X0)))) )),
% 0.57/0.44 inference(cnf_transformation,[],[f903])).
% 0.57/0.44 thf(f1014,plain,(
% 0.57/0.44 ( ! [X0 : (a > $o),X1 : a] : ((((X0 @ X1)) = ((member_a @ X1 @ (collect_a @ X0))))) )),
% 0.57/0.44 inference(cnf_transformation,[],[f919])).
% 0.57/0.44 thf(f1016,plain,(
% 0.57/0.44 (refine1312857699nres_a = (^[Y0 : refine424419629nres_a]: ((^[Y1 : a]: ((refine1001002027nres_a @ Y0 @ Y1) & (refine412683989fail_a @ Y0))))))),
% 0.57/0.44 inference(cnf_transformation,[],[f475])).
% 0.57/0.44 thf(f1059,plain,(
% 0.57/0.44 (((refine1312857699nres_a @ (refine1198353288_RES_a @ (collect_a @ phi)) @ x)) != ((phi @ x)))),
% 0.57/0.44 inference(cnf_transformation,[],[f769])).
% 0.57/0.44 thf(f1064,definition,(
% 0.57/0.44 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.57/0.44 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.57/0.44 thf(f1065,plain,(
% 0.57/0.44 ( ! [X0 : set_a,X1 : a] : ((((member_a @ X1 @ X0)) = (((^[Y0 : refine424419629nres_a]: ((^[Y1 : a]: ((refine1001002027nres_a @ Y0 @ Y1) & (refine412683989fail_a @ Y0))))) @ (refine1198353288_RES_a @ X0) @ X1)))) )),
% 0.57/0.44 inference(definition_unfolding,[],[f991,f1016])).
% 0.57/0.44 thf(f1066,plain,(
% 0.57/0.44 (((phi @ x)) != (((^[Y0 : refine424419629nres_a]: ((^[Y1 : a]: ((refine1001002027nres_a @ Y0 @ Y1) & (refine412683989fail_a @ Y0))))) @ (refine1198353288_RES_a @ (collect_a @ phi)) @ x)))),
% 0.57/0.44 inference(definition_unfolding,[],[f1059,f1016])).
% 0.57/0.44 thf(f1097,plain,(
% 0.57/0.44 ( ! [X0 : set_a,X1 : a] : ((((member_a @ X1 @ X0)) = (((refine1001002027nres_a @ (refine1198353288_RES_a @ X0) @ X1) & (refine412683989fail_a @ (refine1198353288_RES_a @ X0)))))) )),
% 0.57/0.44 inference(beta-eta_normalization,[],[f1065])).
% 0.57/0.44 thf(f1098,plain,(
% 0.57/0.44 ($true = (((^[Y0 : refine424419629nres_a]: ((^[Y1 : a]: ((refine1001002027nres_a @ Y0 @ Y1) & (refine412683989fail_a @ Y0))))) @ (refine1198353288_RES_a @ (collect_a @ phi)) @ x))) | (((phi @ x)) = $true)),
% 0.57/0.44 inference(xor_proxy_clausification,[],[f1066])).
% 0.57/0.44 thf(f1099,plain,(
% 0.57/0.44 (((phi @ x)) = $false) | ($false = (((^[Y0 : refine424419629nres_a]: ((^[Y1 : a]: ((refine1001002027nres_a @ Y0 @ Y1) & (refine412683989fail_a @ Y0))))) @ (refine1198353288_RES_a @ (collect_a @ phi)) @ x)))),
% 0.57/0.44 inference(xor_proxy_clausification,[],[f1066])).
% 0.57/0.44 thf(f1100,plain,(
% 0.57/0.44 (((phi @ x)) = $false) | ($false = (((refine1001002027nres_a @ (refine1198353288_RES_a @ (collect_a @ phi)) @ x) & (refine412683989fail_a @ (refine1198353288_RES_a @ (collect_a @ phi))))))),
% 0.57/0.44 inference(beta-eta_normalization,[],[f1099])).
% 0.57/0.44 thf(f1101,plain,(
% 0.57/0.44 (((phi @ x)) = $false) | ($false = ((refine1001002027nres_a @ (refine1198353288_RES_a @ (collect_a @ phi)) @ x))) | ($false = ((refine412683989fail_a @ (refine1198353288_RES_a @ (collect_a @ phi)))))),
% 0.57/0.44 inference(and_proxy_clausification,[],[f1100])).
% 0.57/0.44 thf(f1102,plain,(
% 0.57/0.44 (((phi @ x)) = $true) | ($true = (((refine1001002027nres_a @ (refine1198353288_RES_a @ (collect_a @ phi)) @ x) & (refine412683989fail_a @ (refine1198353288_RES_a @ (collect_a @ phi))))))),
% 0.57/0.44 inference(beta-eta_normalization,[],[f1098])).
% 0.57/0.44 thf(f1103,plain,(
% 0.57/0.44 ($true = ((refine412683989fail_a @ (refine1198353288_RES_a @ (collect_a @ phi))))) | (((phi @ x)) = $true)),
% 0.57/0.44 inference(and_proxy_clausification,[],[f1102])).
% 0.57/0.44 thf(f1104,plain,(
% 0.57/0.44 ($true = ((refine1001002027nres_a @ (refine1198353288_RES_a @ (collect_a @ phi)) @ x))) | (((phi @ x)) = $true)),
% 0.57/0.44 inference(and_proxy_clausification,[],[f1102])).
% 0.57/0.44 thf(f1106,definition,(
% 0.57/0.44 spl70_1 <=> ($false = ((refine412683989fail_a @ (refine1198353288_RES_a @ (collect_a @ phi)))))),
% 0.57/0.44 introduced(definition,[new_symbols(definition,[spl70_1])],[avatar_definition])).
% 0.57/0.44 thf(f1108,plain,(
% 0.57/0.44 ($false = ((refine412683989fail_a @ (refine1198353288_RES_a @ (collect_a @ phi))))) | ~spl70_1),
% 0.57/0.44 inference(avatar_component_clause,[],[f1106])).
% 0.57/0.44 thf(f1110,definition,(
% 0.57/0.44 spl70_2 <=> ($false = ((refine1001002027nres_a @ (refine1198353288_RES_a @ (collect_a @ phi)) @ x)))),
% 0.57/0.44 introduced(definition,[new_symbols(definition,[spl70_2])],[avatar_definition])).
% 0.57/0.44 thf(f1111,plain,(
% 0.57/0.44 ($false != ((refine1001002027nres_a @ (refine1198353288_RES_a @ (collect_a @ phi)) @ x))) | spl70_2),
% 0.57/0.44 inference(avatar_component_clause,[],[f1110])).
% 0.57/0.44 thf(f1112,plain,(
% 0.57/0.44 ($false = ((refine1001002027nres_a @ (refine1198353288_RES_a @ (collect_a @ phi)) @ x))) | ~spl70_2),
% 0.57/0.44 inference(avatar_component_clause,[],[f1110])).
% 0.57/0.44 thf(f1114,definition,(
% 0.57/0.44 spl70_3 <=> (((phi @ x)) = $false)),
% 0.57/0.44 introduced(definition,[new_symbols(definition,[spl70_3])],[avatar_definition])).
% 0.57/0.44 thf(f1115,plain,(
% 0.57/0.44 (((phi @ x)) != $false) | spl70_3),
% 0.57/0.44 inference(avatar_component_clause,[],[f1114])).
% 0.57/0.44 thf(f1116,plain,(
% 0.57/0.44 (((phi @ x)) = $false) | ~spl70_3),
% 0.57/0.44 inference(avatar_component_clause,[],[f1114])).
% 0.57/0.44 thf(f1117,plain,(
% 0.57/0.44 spl70_1 | spl70_2 | spl70_3),
% 0.57/0.44 inference(avatar_split_clause,[],[f1101,f1114,f1110,f1106])).
% 0.57/0.44 thf(f1119,definition,(
% 0.57/0.44 spl70_4 <=> ($true = ((refine1001002027nres_a @ (refine1198353288_RES_a @ (collect_a @ phi)) @ x)))),
% 0.57/0.44 introduced(definition,[new_symbols(definition,[spl70_4])],[avatar_definition])).
% 0.57/0.44 thf(f1120,plain,(
% 0.57/0.44 ($true != ((refine1001002027nres_a @ (refine1198353288_RES_a @ (collect_a @ phi)) @ x))) | spl70_4),
% 0.57/0.44 inference(avatar_component_clause,[],[f1119])).
% 0.57/0.44 thf(f1121,plain,(
% 0.57/0.44 ($true = ((refine1001002027nres_a @ (refine1198353288_RES_a @ (collect_a @ phi)) @ x))) | ~spl70_4),
% 0.57/0.44 inference(avatar_component_clause,[],[f1119])).
% 0.57/0.44 thf(f1123,definition,(
% 0.57/0.44 spl70_5 <=> (((phi @ x)) = $true)),
% 0.57/0.44 introduced(definition,[new_symbols(definition,[spl70_5])],[avatar_definition])).
% 0.57/0.44 thf(f1125,plain,(
% 0.57/0.44 (((phi @ x)) = $true) | ~spl70_5),
% 0.57/0.44 inference(avatar_component_clause,[],[f1123])).
% 0.57/0.44 thf(f1126,plain,(
% 0.57/0.44 spl70_4 | spl70_5),
% 0.57/0.44 inference(avatar_split_clause,[],[f1104,f1123,f1119])).
% 0.57/0.44 thf(f1128,definition,(
% 0.57/0.44 spl70_6 <=> ($true = ((refine412683989fail_a @ (refine1198353288_RES_a @ (collect_a @ phi)))))),
% 0.57/0.44 introduced(definition,[new_symbols(definition,[spl70_6])],[avatar_definition])).
% 0.57/0.44 thf(f1129,plain,(
% 0.57/0.44 ($true != ((refine412683989fail_a @ (refine1198353288_RES_a @ (collect_a @ phi))))) | spl70_6),
% 0.57/0.44 inference(avatar_component_clause,[],[f1128])).
% 0.57/0.44 thf(f1130,plain,(
% 0.57/0.44 ($true = ((refine412683989fail_a @ (refine1198353288_RES_a @ (collect_a @ phi))))) | ~spl70_6),
% 0.57/0.44 inference(avatar_component_clause,[],[f1128])).
% 0.57/0.44 thf(f1131,plain,(
% 0.57/0.44 spl70_5 | spl70_6),
% 0.57/0.44 inference(avatar_split_clause,[],[f1103,f1128,f1123])).
% 0.57/0.44 thf(f1135,plain,(
% 0.57/0.44 ((($false & (refine412683989fail_a @ (refine1198353288_RES_a @ (collect_a @ phi))))) = ((member_a @ x @ (collect_a @ phi)))) | ~spl70_2),
% 0.57/0.44 inference(superposition,[],[f1097,f1112])).
% 0.57/0.44 thf(f1139,plain,(
% 0.57/0.44 ($false = ((member_a @ x @ (collect_a @ phi)))) | ((($false & (refine412683989fail_a @ (refine1198353288_RES_a @ (collect_a @ phi))))) = $true) | ~spl70_2),
% 0.57/0.44 inference(iff_proxy_clausification,[],[f1135])).
% 0.57/0.44 thf(f1143,plain,(
% 0.57/0.44 ($false = $true) | ($false = ((member_a @ x @ (collect_a @ phi)))) | ~spl70_2),
% 0.57/0.44 inference(and_proxy_clausification,[],[f1139])).
% 0.57/0.44 thf(f1144,plain,(
% 0.57/0.44 ($false = ((member_a @ x @ (collect_a @ phi)))) | ~spl70_2),
% 0.57/0.44 inference(trivial_inequality_removal,[],[f1143])).
% 0.57/0.44 thf(f1147,plain,(
% 0.57/0.44 (((phi @ x)) = $false) | ~spl70_2),
% 0.57/0.44 inference(forward_demodulation,[],[f1144,f1014])).
% 0.57/0.44 thf(f1149,plain,(
% 0.57/0.44 spl70_3 | ~spl70_2),
% 0.57/0.44 inference(avatar_split_clause,[],[f1147,f1110,f1114])).
% 0.57/0.44 thf(f1153,plain,(
% 0.57/0.44 ($false = $true) | (~spl70_3 | ~spl70_5)),
% 0.57/0.44 inference(superposition,[],[f1116,f1125])).
% 0.57/0.44 thf(f1159,plain,(
% 0.57/0.44 $false | (~spl70_3 | ~spl70_5)),
% 0.57/0.44 inference(trivial_inequality_removal,[],[f1153])).
% 0.57/0.44 thf(f1160,plain,(
% 0.57/0.44 ~spl70_3 | ~spl70_5),
% 0.57/0.44 inference(avatar_contradiction_clause,[],[f1159])).
% 0.57/0.44 thf(f1180,plain,(
% 0.57/0.44 ($false = $true) | (~spl70_1 | ~spl70_6)),
% 0.57/0.44 inference(superposition,[],[f1108,f1130])).
% 0.57/0.44 thf(f1182,plain,(
% 0.57/0.44 $false | (~spl70_1 | ~spl70_6)),
% 0.57/0.44 inference(trivial_inequality_removal,[],[f1180])).
% 0.57/0.44 thf(f1183,plain,(
% 0.57/0.44 ~spl70_1 | ~spl70_6),
% 0.57/0.44 inference(avatar_contradiction_clause,[],[f1182])).
% 0.57/0.44 thf(f1212,plain,(
% 0.57/0.44 ((($true & (refine412683989fail_a @ (refine1198353288_RES_a @ (collect_a @ phi))))) = ((member_a @ x @ (collect_a @ phi)))) | ~spl70_4),
% 0.57/0.44 inference(superposition,[],[f1097,f1121])).
% 0.57/0.44 thf(f1215,plain,(
% 0.57/0.44 ((($true & (refine412683989fail_a @ (refine1198353288_RES_a @ (collect_a @ phi))))) = $true) | ($false = ((member_a @ x @ (collect_a @ phi)))) | ~spl70_4),
% 0.57/0.44 inference(iff_proxy_clausification,[],[f1212])).
% 0.57/0.44 thf(f1216,plain,(
% 0.57/0.44 ((($true & (refine412683989fail_a @ (refine1198353288_RES_a @ (collect_a @ phi))))) = $false) | ($true = ((member_a @ x @ (collect_a @ phi)))) | ~spl70_4),
% 0.57/0.44 inference(iff_proxy_clausification,[],[f1212])).
% 0.57/0.44 thf(f1217,plain,(
% 0.57/0.44 ($true = ((member_a @ x @ (collect_a @ phi)))) | ($false = ((refine412683989fail_a @ (refine1198353288_RES_a @ (collect_a @ phi))))) | ($false = $true) | ~spl70_4),
% 0.57/0.44 inference(and_proxy_clausification,[],[f1216])).
% 0.57/0.44 thf(f1218,plain,(
% 0.57/0.44 ($false = ((refine412683989fail_a @ (refine1198353288_RES_a @ (collect_a @ phi))))) | ($true = ((member_a @ x @ (collect_a @ phi)))) | ~spl70_4),
% 0.57/0.44 inference(trivial_inequality_removal,[],[f1217])).
% 0.57/0.44 thf(f1219,plain,(
% 0.57/0.44 ($true = ((refine412683989fail_a @ (refine1198353288_RES_a @ (collect_a @ phi))))) | ($false = ((member_a @ x @ (collect_a @ phi)))) | ~spl70_4),
% 0.57/0.44 inference(and_proxy_clausification,[],[f1215])).
% 0.57/0.44 thf(f1223,plain,(
% 0.57/0.44 ($true = ((member_a @ x @ (collect_a @ phi)))) | ($false = $true) | (~spl70_4 | ~spl70_6)),
% 0.57/0.44 inference(forward_demodulation,[],[f1218,f1130])).
% 0.57/0.44 thf(f1224,plain,(
% 0.57/0.44 ($true = ((member_a @ x @ (collect_a @ phi)))) | (~spl70_4 | ~spl70_6)),
% 0.57/0.44 inference(trivial_inequality_removal,[],[f1223])).
% 0.57/0.44 thf(f1225,plain,(
% 0.57/0.44 (((phi @ x)) = $true) | (~spl70_4 | ~spl70_6)),
% 0.57/0.44 inference(forward_demodulation,[],[f1224,f1014])).
% 0.57/0.44 thf(f1226,plain,(
% 0.57/0.44 ($false = $true) | (~spl70_3 | ~spl70_4 | ~spl70_6)),
% 0.57/0.44 inference(forward_demodulation,[],[f1225,f1116])).
% 0.57/0.44 thf(f1227,plain,(
% 0.57/0.44 $false | (~spl70_3 | ~spl70_4 | ~spl70_6)),
% 0.57/0.44 inference(trivial_inequality_removal,[],[f1226])).
% 0.57/0.44 thf(f1228,plain,(
% 0.57/0.44 ~spl70_3 | ~spl70_4 | ~spl70_6),
% 0.57/0.44 inference(avatar_contradiction_clause,[],[f1227])).
% 0.57/0.44 thf(f1230,plain,(
% 0.57/0.44 ($false = ((member_a @ x @ (collect_a @ phi)))) | (~spl70_4 | spl70_6)),
% 0.57/0.44 inference(forward_subsumption_resolution,[],[f1219,f1129])).
% 0.57/0.44 thf(f1231,plain,(
% 0.57/0.44 (((phi @ x)) = $false) | (~spl70_4 | spl70_6)),
% 0.57/0.44 inference(forward_demodulation,[],[f1230,f1014])).
% 0.57/0.44 thf(f1232,plain,(
% 0.57/0.44 $false | (spl70_3 | ~spl70_4 | spl70_6)),
% 0.57/0.44 inference(forward_subsumption_resolution,[],[f1231,f1115])).
% 0.57/0.44 thf(f1233,plain,(
% 0.57/0.44 spl70_3 | ~spl70_4 | spl70_6),
% 0.57/0.44 inference(avatar_contradiction_clause,[],[f1232])).
% 0.57/0.44 thf(f1276,plain,(
% 0.57/0.44 ($false = ((refine1001002027nres_a @ (refine1198353288_RES_a @ (collect_a @ phi)) @ x))) | ($true != $true) | spl70_4),
% 0.57/0.44 inference(superposition,[],[f1120,f1064])).
% 0.57/0.44 thf(f1281,plain,(
% 0.57/0.44 ($false = ((refine1001002027nres_a @ (refine1198353288_RES_a @ (collect_a @ phi)) @ x))) | spl70_4),
% 0.57/0.44 inference(trivial_inequality_removal,[],[f1276])).
% 0.57/0.44 thf(f1286,plain,(
% 0.57/0.44 $false | (spl70_2 | spl70_4)),
% 0.57/0.44 inference(forward_subsumption_resolution,[],[f1281,f1111])).
% 0.57/0.44 thf(f1287,plain,(
% 0.57/0.44 spl70_2 | spl70_4),
% 0.57/0.44 inference(avatar_contradiction_clause,[],[f1286])).
% 0.57/0.44 cnf(s1, plain, spl70_1 | spl70_2 | spl70_3, inference(sat_conversion,[],[f1117])).
% 0.57/0.44 cnf(s2, plain, spl70_4 | spl70_5, inference(sat_conversion,[],[f1126])).
% 0.57/0.44 cnf(s3, plain, spl70_5 | spl70_6, inference(sat_conversion,[],[f1131])).
% 0.57/0.44 cnf(s4, plain, ~spl70_2 | spl70_3, inference(sat_conversion,[],[f1149])).
% 0.57/0.44 cnf(s7, plain, ~spl70_3 | ~spl70_5, inference(sat_conversion,[],[f1160])).
% 0.57/0.44 cnf(s8, plain, ~spl70_1 | ~spl70_6, inference(sat_conversion,[],[f1183])).
% 0.57/0.44 cnf(s10, plain, ~spl70_3 | ~spl70_4 | ~spl70_6, inference(sat_conversion,[],[f1228])).
% 0.57/0.44 cnf(s11, plain, spl70_3 | ~spl70_4 | spl70_6, inference(sat_conversion,[],[f1233])).
% 0.57/0.44 cnf(s12, plain, spl70_2 | spl70_4, inference(sat_conversion,[],[f1287])).
% 0.57/0.44 cnf(s13, plain, ~spl70_4 | ~spl70_3, inference(rat,[],[s3,s7,s10])).
% 0.57/0.44 cnf(s15, plain, ~spl70_3, inference(rat,[],[s2,s13,s7])).
% 0.57/0.44 cnf(s16, plain, ~spl70_2, inference(rat,[],[s4,s15])).
% 0.57/0.44 cnf(s17, plain, spl70_4, inference(rat,[],[s12,s16])).
% 0.57/0.44 cnf(s18, plain, spl70_1, inference(rat,[],[s1,s15,s16])).
% 0.57/0.44 cnf(s19, plain, spl70_6, inference(rat,[],[s11,s15,s17])).
% 0.57/0.44 cnf(s20, plain, $false, inference(rat,[],[s8,s19,s18])).
% 0.57/0.44 thf(f1288,plain,(
% 0.57/0.44 $false),
% 0.57/0.44 inference(avatar_sat_refutation,[],[s20])).
% 0.57/0.44 % SZS output end Proof for theBenchmark
% 0.57/0.44 % (844930)------------------------------
% 0.57/0.44 % (844930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (844930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (844930)CaDiCaL version: 2.1.3
% 0.57/0.44 % (844930)Termination reason: Refutation
% 0.57/0.44 % (844930)Time elapsed: 0.034 s
% 0.57/0.44 % (844930)Peak memory usage: 14 MB
% 0.57/0.44 % (844930)Instructions burned: 71 (million)
% 0.57/0.44 % (844896)Success in time 0.154 s
% 0.57/0.44 % Vampire exiting
%------------------------------------------------------------------------------