%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP205^2 : 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 : n026.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 08:08:49 AM UTC 2026
% Result : Theorem 3.46s 0.98s
% Output : Refutation 3.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP205^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n026.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 20:14:44 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.22/0.27 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
% 0.43/0.44 % (1119899)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.43/0.44 % (1119905)lrs+10_16_si=on:nwc=1.5:random_seed=3218368662:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.43/0.44 % (1119905)Instruction limit reached!
% 0.43/0.44 % (1119905)------------------------------
% 0.43/0.44 % (1119905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.44 % (1119905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.44 % (1119905)CaDiCaL version: 2.1.3
% 0.43/0.44 % (1119905)Termination reason: Instruction limit
% 0.43/0.44 % (1119905)Termination phase: shuffling
% 0.43/0.44 % (1119905)Time elapsed: 0.005 s
% 0.43/0.44 % (1119905)Peak memory usage: 10 MB
% 0.43/0.44 % (1119905)Instructions burned: 20 (million)
% 0.43/0.44 % (1119904)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=85558251:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.43/0.44 % (1119906)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=434351094:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.43/0.44 % (1119908)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2275013275:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.43/0.44 % (1119906)Instruction limit reached!
% 0.43/0.44 % (1119906)------------------------------
% 0.43/0.44 % (1119906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.44 % (1119906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.44 % (1119906)CaDiCaL version: 2.1.3
% 0.43/0.44 % (1119906)Termination reason: Instruction limit
% 0.43/0.44 % (1119906)Termination phase: shuffling
% 0.43/0.44 % (1119906)Time elapsed: 0.002 s
% 0.43/0.44 % (1119906)Peak memory usage: 10 MB
% 0.43/0.44 % (1119906)Instructions burned: 4 (million)
% 0.43/0.44 % (1119912)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2021185278:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.43/0.44 % (1119907)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=2677801923: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)
% 0.43/0.44 % (1119912)Instruction limit reached!
% 0.43/0.44 % (1119912)------------------------------
% 0.43/0.44 % (1119912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.44 % (1119912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.44 % (1119912)CaDiCaL version: 2.1.3
% 0.43/0.44 % (1119912)Termination reason: Instruction limit
% 0.43/0.44 % (1119912)Termination phase: shuffling
% 0.43/0.44 % (1119912)Time elapsed: 0.001 s
% 0.43/0.44 % (1119912)Peak memory usage: 10 MB
% 0.43/0.44 % (1119912)Instructions burned: 3 (million)
% 0.43/0.44 % (1119908)Instruction limit reached!
% 0.43/0.44 % (1119908)------------------------------
% 0.43/0.44 % (1119908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.44 % (1119908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.44 % (1119908)CaDiCaL version: 2.1.3
% 0.43/0.44 % (1119908)Termination reason: Instruction limit
% 0.43/0.44 % (1119908)Termination phase: Property scanning
% 0.43/0.44 % (1119908)Time elapsed: 0.013 s
% 0.43/0.44 % (1119908)Peak memory usage: 10 MB
% 0.43/0.44 % (1119908)Instructions burned: 26 (million)
% 0.43/0.44 % (1119910)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.43/0.44 % (1119910)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
% 0.43/0.44 % (1119919)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.43/0.44 % (1119919)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=260457528:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.43/0.44 % (1119916)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=205729817:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.43/0.44 % (1119910)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=3533666370:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.18/0.49 % (1119919)Instruction limit reached!
% 1.18/0.49 % (1119919)------------------------------
% 1.18/0.49 % (1119919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.49 % (1119919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.49 % (1119919)CaDiCaL version: 2.1.3
% 1.18/0.49 % (1119919)Termination reason: Instruction limit
% 1.18/0.49 % (1119919)Termination phase: shuffling
% 1.18/0.49 % (1119919)Time elapsed: 0.003 s
% 1.18/0.49 % (1119919)Peak memory usage: 10 MB
% 1.18/0.49 % (1119919)Instructions burned: 11 (million)
% 1.18/0.49 % (1119916)Instruction limit reached!
% 1.18/0.49 % (1119916)------------------------------
% 1.18/0.49 % (1119916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.49 % (1119916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.49 % (1119916)CaDiCaL version: 2.1.3
% 1.18/0.49 % (1119916)Termination reason: Instruction limit
% 1.18/0.49 % (1119916)Termination phase: shuffling
% 1.18/0.49 % (1119916)Time elapsed: 0.003 s
% 1.18/0.49 % (1119916)Peak memory usage: 10 MB
% 1.18/0.49 % (1119916)Instructions burned: 6 (million)
% 1.18/0.49 % (1119909)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=11922868:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.18/0.49 % (1119920)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1019519454:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.18/0.49 % (1119924)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
% 1.18/0.49 % (1119924)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.18/0.49 % (1119924)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1424841907:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.18/0.49 % (1119920)Instruction limit reached!
% 1.18/0.49 % (1119920)------------------------------
% 1.18/0.49 % (1119920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.49 % (1119920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.49 % (1119920)CaDiCaL version: 2.1.3
% 1.18/0.49 % (1119920)Termination reason: Instruction limit
% 1.18/0.49 % (1119920)Termination phase: shuffling
% 1.18/0.49 % (1119920)Time elapsed: 0.006 s
% 1.18/0.49 % (1119920)Peak memory usage: 10 MB
% 1.18/0.49 % (1119920)Instructions burned: 12 (million)
% 1.18/0.49 % (1119904)Instruction limit reached!
% 1.18/0.49 % (1119904)------------------------------
% 1.18/0.49 % (1119904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.49 % (1119904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.49 % (1119904)CaDiCaL version: 2.1.3
% 1.18/0.49 % (1119904)Termination reason: Instruction limit
% 1.18/0.49 % (1119904)Termination phase: Property scanning
% 1.18/0.49 % (1119904)Time elapsed: 0.043 s
% 1.18/0.49 % (1119904)Peak memory usage: 12 MB
% 1.18/0.49 % (1119904)Instructions burned: 88 (million)
% 1.18/0.49 % (1119924)Instruction limit reached!
% 1.18/0.49 % (1119924)------------------------------
% 1.18/0.49 % (1119924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.49 % (1119924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.49 % (1119924)CaDiCaL version: 2.1.3
% 1.18/0.49 % (1119924)Termination reason: Instruction limit
% 1.18/0.49 % (1119924)Termination phase: shuffling
% 1.18/0.49 % (1119924)Time elapsed: 0.007 s
% 1.18/0.49 % (1119924)Peak memory usage: 10 MB
% 1.18/0.49 % (1119924)Instructions burned: 29 (million)
% 1.18/0.49 % (1119925)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=3372222495:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.18/0.49 % (1119930)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.18/0.52 % (1119929)lrs+10_1_si=on:cs=on:random_seed=1550439408:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.18/0.52 % (1119930)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=2648530236:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.18/0.52 % (1119931)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1728133878:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.18/0.52 % (1119929)Instruction limit reached!
% 1.18/0.52 % (1119929)------------------------------
% 1.18/0.52 % (1119929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.52 % (1119929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.52 % (1119929)CaDiCaL version: 2.1.3
% 1.18/0.52 % (1119929)Termination reason: Instruction limit
% 1.18/0.52 % (1119929)Termination phase: shuffling
% 1.18/0.52 % (1119929)Time elapsed: 0.004 s
% 1.18/0.52 % (1119929)Peak memory usage: 10 MB
% 1.18/0.52 % (1119929)Instructions burned: 8 (million)
% 1.18/0.52 % (1119930)Instruction limit reached!
% 1.18/0.52 % (1119930)------------------------------
% 1.18/0.52 % (1119930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.52 % (1119930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.52 % (1119930)CaDiCaL version: 2.1.3
% 1.18/0.52 % (1119930)Termination reason: Instruction limit
% 1.18/0.52 % (1119930)Termination phase: shuffling
% 1.18/0.52 % (1119930)Time elapsed: 0.002 s
% 1.18/0.52 % (1119930)Peak memory usage: 10 MB
% 1.18/0.52 % (1119930)Instructions burned: 3 (million)
% 1.18/0.52 % (1119936)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2244285675:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.18/0.52 % (1119931)Instruction limit reached!
% 1.18/0.52 % (1119931)------------------------------
% 1.18/0.52 % (1119931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.52 % (1119931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.52 % (1119931)CaDiCaL version: 2.1.3
% 1.18/0.52 % (1119931)Termination reason: Instruction limit
% 1.18/0.52 % (1119931)Termination phase: Preprocessing 2
% 1.18/0.52 % (1119931)Time elapsed: 0.019 s
% 1.18/0.52 % (1119931)Peak memory usage: 11 MB
% 1.18/0.52 % (1119931)Instructions burned: 38 (million)
% 1.18/0.52 % (1119937)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=127221147:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.18/0.52 % (1119909)Instruction limit reached!
% 1.18/0.52 % (1119909)------------------------------
% 1.18/0.52 % (1119909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.52 % (1119909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.52 % (1119909)CaDiCaL version: 2.1.3
% 1.18/0.52 % (1119909)Termination reason: Instruction limit
% 1.18/0.52 % (1119909)Termination phase: Property scanning
% 1.18/0.52 % (1119909)Time elapsed: 0.057 s
% 1.18/0.52 % (1119909)Peak memory usage: 11 MB
% 1.18/0.52 % (1119909)Instructions burned: 77 (million)
% 1.18/0.52 % (1119925)Instruction limit reached!
% 1.18/0.52 % (1119925)------------------------------
% 1.18/0.52 % (1119925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.52 % (1119925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.52 % (1119925)CaDiCaL version: 2.1.3
% 1.18/0.52 % (1119925)Termination reason: Instruction limit
% 1.18/0.52 % (1119925)Termination phase: Property scanning
% 1.18/0.52 % (1119925)Time elapsed: 0.043 s
% 1.18/0.52 % (1119925)Peak memory usage: 11 MB
% 1.18/0.52 % (1119925)Instructions burned: 96 (million)
% 1.18/0.52 % (1119937)Instruction limit reached!
% 1.18/0.52 % (1119937)------------------------------
% 1.18/0.52 % (1119937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.52 % (1119937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.52 % (1119937)CaDiCaL version: 2.1.3
% 1.18/0.52 % (1119937)Termination reason: Instruction limit
% 1.18/0.52 % (1119937)Termination phase: Property scanning
% 1.18/0.52 % (1119937)Time elapsed: 0.013 s
% 1.18/0.52 % (1119937)Peak memory usage: 10 MB
% 1.18/0.52 % (1119937)Instructions burned: 26 (million)
% 1.18/0.52 % (1119941)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4199564162:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.18/0.58 % (1119939)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1589754450:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.18/0.58 % (1119942)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2824032701:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.18/0.58 % (1119943)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=468878205: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)
% 1.18/0.58 % (1119942)Instruction limit reached!
% 1.18/0.58 % (1119942)------------------------------
% 1.18/0.58 % (1119942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.58 % (1119942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.58 % (1119942)CaDiCaL version: 2.1.3
% 1.18/0.58 % (1119942)Termination reason: Instruction limit
% 1.18/0.58 % (1119942)Termination phase: shuffling
% 1.18/0.58 % (1119942)Time elapsed: 0.007 s
% 1.18/0.58 % (1119942)Peak memory usage: 10 MB
% 1.18/0.58 % (1119942)Instructions burned: 15 (million)
% 1.18/0.58 % (1119943)Instruction limit reached!
% 1.18/0.58 % (1119943)------------------------------
% 1.18/0.58 % (1119943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.58 % (1119943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.58 % (1119943)CaDiCaL version: 2.1.3
% 1.18/0.58 % (1119943)Termination reason: Instruction limit
% 1.18/0.58 % (1119943)Termination phase: shuffling
% 1.18/0.58 % (1119943)Time elapsed: 0.002 s
% 1.18/0.58 % (1119943)Peak memory usage: 10 MB
% 1.18/0.58 % (1119943)Instructions burned: 3 (million)
% 1.18/0.58 % (1119939)Instruction limit reached!
% 1.18/0.58 % (1119939)------------------------------
% 1.18/0.58 % (1119939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.58 % (1119939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.58 % (1119939)CaDiCaL version: 2.1.3
% 1.18/0.58 % (1119939)Termination reason: Instruction limit
% 1.18/0.58 % (1119939)Termination phase: shuffling
% 1.18/0.58 % (1119939)Time elapsed: 0.016 s
% 1.18/0.58 % (1119939)Peak memory usage: 10 MB
% 1.18/0.58 % (1119939)Instructions burned: 15 (million)
% 1.18/0.58 % (1119910)Instruction limit reached!
% 1.18/0.58 % (1119910)------------------------------
% 1.18/0.58 % (1119910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.58 % (1119910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.58 % (1119910)CaDiCaL version: 2.1.3
% 1.18/0.58 % (1119910)Termination reason: Instruction limit
% 1.18/0.58 % (1119910)Termination phase: Saturation
% 1.18/0.58 % (1119910)Time elapsed: 0.106 s
% 1.18/0.58 % (1119910)Peak memory usage: 14 MB
% 1.18/0.58 % (1119910)Instructions burned: 159 (million)
% 1.18/0.58 % (1119948)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1204228486:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.18/0.58 % (1119949)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2802289761:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.18/0.58 % (1119936)Instruction limit reached!
% 1.18/0.58 % (1119936)------------------------------
% 1.18/0.58 % (1119936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.58 % (1119936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.58 % (1119936)CaDiCaL version: 2.1.3
% 1.18/0.58 % (1119936)Termination reason: Instruction limit
% 1.18/0.58 % (1119936)Termination phase: Saturation
% 1.18/0.58 % (1119936)Time elapsed: 0.067 s
% 1.18/0.58 % (1119936)Peak memory usage: 14 MB
% 1.18/0.58 % (1119936)Instructions burned: 249 (million)
% 1.18/0.58 % (1119951)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
% 1.18/0.58 % (1119951)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.18/0.58 % (1119950)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3987990636:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.96/0.65 % (1119949)Instruction limit reached!
% 1.96/0.65 % (1119949)------------------------------
% 1.96/0.65 % (1119949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.65 % (1119949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.65 % (1119949)CaDiCaL version: 2.1.3
% 1.96/0.65 % (1119949)Termination reason: Instruction limit
% 1.96/0.65 % (1119949)Termination phase: Property scanning
% 1.96/0.65 % (1119949)Time elapsed: 0.011 s
% 1.96/0.65 % (1119949)Peak memory usage: 10 MB
% 1.96/0.65 % (1119949)Instructions burned: 23 (million)
% 1.96/0.65 % (1119954)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.96/0.65 % (1119948)Instruction limit reached!
% 1.96/0.65 % (1119948)------------------------------
% 1.96/0.65 % (1119948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.65 % (1119948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.65 % (1119948)CaDiCaL version: 2.1.3
% 1.96/0.65 % (1119948)Termination reason: Instruction limit
% 1.96/0.65 % (1119948)Termination phase: shuffling
% 1.96/0.65 % (1119948)Time elapsed: 0.013 s
% 1.96/0.65 % (1119948)Peak memory usage: 10 MB
% 1.96/0.65 % (1119948)Instructions burned: 28 (million)
% 1.96/0.65 % (1119954)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=3038891142:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.96/0.65 % (1119951)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=3935747100:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.96/0.65 % (1119954)Instruction limit reached!
% 1.96/0.65 % (1119954)------------------------------
% 1.96/0.65 % (1119954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.65 % (1119954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.65 % (1119954)CaDiCaL version: 2.1.3
% 1.96/0.65 % (1119954)Termination reason: Instruction limit
% 1.96/0.65 % (1119954)Termination phase: shuffling
% 1.96/0.65 % (1119954)Time elapsed: 0.002 s
% 1.96/0.65 % (1119954)Peak memory usage: 10 MB
% 1.96/0.65 % (1119954)Instructions burned: 9 (million)
% 1.96/0.65 % (1119951)Instruction limit reached!
% 1.96/0.65 % (1119951)------------------------------
% 1.96/0.65 % (1119951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.65 % (1119951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.65 % (1119951)CaDiCaL version: 2.1.3
% 1.96/0.65 % (1119951)Termination reason: Instruction limit
% 1.96/0.65 % (1119951)Termination phase: shuffling
% 1.96/0.65 % (1119951)Time elapsed: 0.007 s
% 1.96/0.65 % (1119951)Peak memory usage: 10 MB
% 1.96/0.65 % (1119951)Instructions burned: 14 (million)
% 1.96/0.65 % (1119956)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3861056378:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.96/0.65 % (1119957)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=508032684:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.96/0.65 % (1119960)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1153769165:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.96/0.65 % (1119957)Instruction limit reached!
% 1.96/0.65 % (1119957)------------------------------
% 1.96/0.65 % (1119957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.65 % (1119957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.65 % (1119957)CaDiCaL version: 2.1.3
% 1.96/0.65 % (1119957)Termination reason: Instruction limit
% 1.96/0.65 % (1119957)Termination phase: shuffling
% 1.96/0.65 % (1119957)Time elapsed: 0.004 s
% 1.96/0.65 % (1119957)Peak memory usage: 10 MB
% 1.96/0.65 % (1119957)Instructions burned: 8 (million)
% 1.96/0.65 % (1119961)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2487514062:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.96/0.65 % (1119950)Instruction limit reached!
% 1.96/0.65 % (1119950)------------------------------
% 1.96/0.65 % (1119950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.72 % (1119950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.72 % (1119950)CaDiCaL version: 2.1.3
% 2.61/0.72 % (1119950)Termination reason: Instruction limit
% 2.61/0.72 % (1119950)Termination phase: Property scanning
% 2.61/0.72 % (1119950)Time elapsed: 0.029 s
% 2.61/0.72 % (1119950)Peak memory usage: 11 MB
% 2.61/0.72 % (1119950)Instructions burned: 60 (million)
% 2.61/0.72 % (1119956)Instruction limit reached!
% 2.61/0.72 % (1119956)------------------------------
% 2.61/0.72 % (1119956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.72 % (1119956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.72 % (1119956)CaDiCaL version: 2.1.3
% 2.61/0.72 % (1119956)Termination reason: Instruction limit
% 2.61/0.72 % (1119956)Termination phase: shuffling
% 2.61/0.72 % (1119956)Time elapsed: 0.015 s
% 2.61/0.72 % (1119956)Peak memory usage: 10 MB
% 2.61/0.72 % (1119956)Instructions burned: 32 (million)
% 2.61/0.72 % (1119960)Instruction limit reached!
% 2.61/0.72 % (1119960)------------------------------
% 2.61/0.72 % (1119960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.72 % (1119960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.72 % (1119960)CaDiCaL version: 2.1.3
% 2.61/0.72 % (1119960)Termination reason: Instruction limit
% 2.61/0.72 % (1119960)Termination phase: shuffling
% 2.61/0.72 % (1119960)Time elapsed: 0.011 s
% 2.61/0.72 % (1119960)Peak memory usage: 10 MB
% 2.61/0.72 % (1119960)Instructions burned: 23 (million)
% 2.61/0.72 % (1119961)Instruction limit reached!
% 2.61/0.72 % (1119961)------------------------------
% 2.61/0.72 % (1119961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.72 % (1119961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.72 % (1119961)CaDiCaL version: 2.1.3
% 2.61/0.72 % (1119961)Termination reason: Instruction limit
% 2.61/0.72 % (1119961)Termination phase: Property scanning
% 2.61/0.72 % (1119961)Time elapsed: 0.011 s
% 2.61/0.72 % (1119961)Peak memory usage: 10 MB
% 2.61/0.72 % (1119961)Instructions burned: 22 (million)
% 2.61/0.72 % (1119965)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1227595596:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.61/0.72 % (1119967)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3991366274:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.61/0.72 % (1119968)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4087638943:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.61/0.72 % (1119969)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1057979038:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.61/0.72 % (1119970)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.61/0.72 % (1119970)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2652722316:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.61/0.72 % (1119970)Instruction limit reached!
% 2.61/0.72 % (1119970)------------------------------
% 2.61/0.72 % (1119970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.72 % (1119970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.72 % (1119970)CaDiCaL version: 2.1.3
% 2.61/0.72 % (1119970)Termination reason: Instruction limit
% 2.61/0.72 % (1119970)Termination phase: shuffling
% 2.61/0.72 % (1119970)Time elapsed: 0.004 s
% 2.61/0.72 % (1119970)Peak memory usage: 10 MB
% 2.61/0.72 % (1119970)Instructions burned: 7 (million)
% 2.61/0.72 % (1119976)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3324868156:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.61/0.72 % (1119969)Instruction limit reached!
% 2.61/0.72 % (1119969)------------------------------
% 2.61/0.72 % (1119969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.72 % (1119969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.72 % (1119969)CaDiCaL version: 2.1.3
% 2.61/0.72 % (1119969)Termination reason: Instruction limit
% 2.61/0.72 % (1119969)Termination phase: Preprocessing 3
% 3.03/0.80 % (1119969)Time elapsed: 0.041 s
% 3.03/0.80 % (1119969)Peak memory usage: 11 MB
% 3.03/0.80 % (1119969)Instructions burned: 42 (million)
% 3.03/0.80 % (1119978)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1069344898:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 3.03/0.80 % (1119967)Instruction limit reached!
% 3.03/0.80 % (1119967)------------------------------
% 3.03/0.80 % (1119967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.03/0.80 % (1119967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/0.80 % (1119967)CaDiCaL version: 2.1.3
% 3.03/0.80 % (1119967)Termination reason: Instruction limit
% 3.03/0.80 % (1119967)Termination phase: Saturation
% 3.03/0.80 % (1119967)Time elapsed: 0.071 s
% 3.03/0.80 % (1119967)Peak memory usage: 14 MB
% 3.03/0.80 % (1119967)Instructions burned: 143 (million)
% 3.03/0.80 % (1119941)Instruction limit reached!
% 3.03/0.80 % (1119941)------------------------------
% 3.03/0.80 % (1119941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.03/0.80 % (1119941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/0.80 % (1119941)CaDiCaL version: 2.1.3
% 3.03/0.80 % (1119941)Termination reason: Instruction limit
% 3.03/0.80 % (1119941)Termination phase: Saturation
% 3.03/0.80 % (1119941)Time elapsed: 0.170 s
% 3.03/0.80 % (1119941)Peak memory usage: 14 MB
% 3.03/0.80 % (1119941)Instructions burned: 331 (million)
% 3.03/0.80 % (1119980)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.03/0.80 % (1119980)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1890453970:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 3.03/0.80 % (1119981)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3353170683:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 3.03/0.80 % (1119980)Instruction limit reached!
% 3.03/0.80 % (1119980)------------------------------
% 3.03/0.80 % (1119980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.03/0.80 % (1119980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/0.80 % (1119980)CaDiCaL version: 2.1.3
% 3.03/0.80 % (1119980)Termination reason: Instruction limit
% 3.03/0.80 % (1119980)Termination phase: shuffling
% 3.03/0.80 % (1119980)Time elapsed: 0.004 s
% 3.03/0.80 % (1119980)Peak memory usage: 10 MB
% 3.03/0.80 % (1119980)Instructions burned: 8 (million)
% 3.03/0.80 % (1119978)Refutation not found, incomplete strategy
% 3.03/0.80 % (1119978)------------------------------
% 3.03/0.80 % (1119978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.03/0.80 % (1119978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/0.80 % (1119978)CaDiCaL version: 2.1.3
% 3.03/0.80 % (1119978)Termination reason: Refutation not found, incomplete strategy
% 3.03/0.80 % (1119978)Time elapsed: 0.035 s
% 3.03/0.80 % (1119978)Peak memory usage: 15 MB
% 3.03/0.80 % (1119978)Instructions burned: 131 (million)
% 3.03/0.80 % (1119978)------------------------------
% 3.03/0.80 % (1119978)------------------------------
% 3.03/0.80 % (1119968)Instruction limit reached!
% 3.03/0.80 % (1119968)------------------------------
% 3.03/0.80 % (1119968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.03/0.80 % (1119968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/0.80 % (1119968)CaDiCaL version: 2.1.3
% 3.03/0.80 % (1119968)Termination reason: Instruction limit
% 3.03/0.80 % (1119968)Termination phase: Saturation
% 3.03/0.80 % (1119968)Time elapsed: 0.103 s
% 3.03/0.80 % (1119968)Peak memory usage: 14 MB
% 3.03/0.80 % (1119968)Instructions burned: 194 (million)
% 3.03/0.80 % (1119981)Instruction limit reached!
% 3.03/0.80 % (1119981)------------------------------
% 3.03/0.80 % (1119981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.03/0.80 % (1119981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/0.80 % (1119981)CaDiCaL version: 2.1.3
% 3.03/0.80 % (1119981)Termination reason: Instruction limit
% 3.03/0.80 % (1119981)Termination phase: Property scanning
% 3.03/0.80 % (1119981)Time elapsed: 0.011 s
% 3.03/0.80 % (1119981)Peak memory usage: 10 MB
% 3.03/0.80 % (1119981)Instructions burned: 22 (million)
% 3.46/0.90 % (1119985)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2410393038:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.46/0.90 % (1119984)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2725312093:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.46/0.90 % (1119984)Instruction limit reached!
% 3.46/0.90 % (1119984)------------------------------
% 3.46/0.90 % (1119984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.90 % (1119984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.90 % (1119984)CaDiCaL version: 2.1.3
% 3.46/0.90 % (1119984)Termination reason: Instruction limit
% 3.46/0.90 % (1119984)Termination phase: shuffling
% 3.46/0.90 % (1119984)Time elapsed: 0.010 s
% 3.46/0.90 % (1119984)Peak memory usage: 10 MB
% 3.46/0.90 % (1119984)Instructions burned: 20 (million)
% 3.46/0.90 % (1119986)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=4258157095:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 3.46/0.90 % (1119987)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=1871127543:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 3.46/0.90 % (1119976)Instruction limit reached!
% 3.46/0.90 % (1119976)------------------------------
% 3.46/0.90 % (1119976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.90 % (1119976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.90 % (1119976)CaDiCaL version: 2.1.3
% 3.46/0.90 % (1119976)Termination reason: Instruction limit
% 3.46/0.90 % (1119976)Termination phase: Saturation
% 3.46/0.90 % (1119976)Time elapsed: 0.094 s
% 3.46/0.90 % (1119976)Peak memory usage: 14 MB
% 3.46/0.90 % (1119976)Instructions burned: 182 (million)
% 3.46/0.90 % (1119991)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=898407199:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.46/0.90 % (1119993)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=4098306421:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 3.46/0.90 % (1119987)Instruction limit reached!
% 3.46/0.90 % (1119987)------------------------------
% 3.46/0.90 % (1119987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.90 % (1119987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.90 % (1119987)CaDiCaL version: 2.1.3
% 3.46/0.90 % (1119987)Termination reason: Instruction limit
% 3.46/0.90 % (1119987)Termination phase: SInE selection
% 3.46/0.90 % (1119987)Time elapsed: 0.022 s
% 3.46/0.90 % (1119987)Peak memory usage: 11 MB
% 3.46/0.90 % (1119987)Instructions burned: 46 (million)
% 3.46/0.90 % (1119993)Instruction limit reached!
% 3.46/0.90 % (1119993)------------------------------
% 3.46/0.90 % (1119993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.90 % (1119993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.90 % (1119993)CaDiCaL version: 2.1.3
% 3.46/0.90 % (1119993)Termination reason: Instruction limit
% 3.46/0.90 % (1119993)Termination phase: Property scanning
% 3.46/0.90 % (1119993)Time elapsed: 0.011 s
% 3.46/0.90 % (1119993)Peak memory usage: 10 MB
% 3.46/0.90 % (1119993)Instructions burned: 22 (million)
% 3.46/0.90 % (1119996)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.46/0.90 % (1119996)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2752015217:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 3.46/0.90 % (1119997)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2714298467:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 3.46/0.90 % (1119997)Instruction limit reached!
% 3.46/0.90 % (1119997)------------------------------
% 3.46/0.90 % (1119997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.98 % (1119997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.98 % (1119997)CaDiCaL version: 2.1.3
% 3.46/0.98 % (1119997)Termination reason: Instruction limit
% 3.46/0.98 % (1119997)Termination phase: shuffling
% 3.46/0.98 % (1119997)Time elapsed: 0.007 s
% 3.46/0.98 % (1119997)Peak memory usage: 10 MB
% 3.46/0.98 % (1119997)Instructions burned: 15 (million)
% 3.46/0.98 % (1119985)Instruction limit reached!
% 3.46/0.98 % (1119985)------------------------------
% 3.46/0.98 % (1119985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.98 % (1119985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.98 % (1119985)CaDiCaL version: 2.1.3
% 3.46/0.98 % (1119985)Termination reason: Instruction limit
% 3.46/0.98 % (1119985)Termination phase: Saturation
% 3.46/0.98 % (1119985)Time elapsed: 0.089 s
% 3.46/0.98 % (1119985)Peak memory usage: 17 MB
% 3.46/0.98 % (1119985)Instructions burned: 319 (million)
% 3.46/0.98 % (1120000)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=2118241871:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.46/0.98 % (1120001)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3554450271:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.46/0.98 % (1120001)Instruction limit reached!
% 3.46/0.98 % (1120001)------------------------------
% 3.46/0.98 % (1120001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.98 % (1120001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.98 % (1120001)CaDiCaL version: 2.1.3
% 3.46/0.98 % (1120001)Termination reason: Instruction limit
% 3.46/0.98 % (1120001)Termination phase: Preprocessing 3
% 3.46/0.98 % (1120001)Time elapsed: 0.013 s
% 3.46/0.98 % (1120001)Peak memory usage: 11 MB
% 3.46/0.98 % (1120001)Instructions burned: 51 (million)
% 3.46/0.98 % (1120004)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=698279215:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.46/0.98 % (1120000)Instruction limit reached!
% 3.46/0.98 % (1120000)------------------------------
% 3.46/0.98 % (1120000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.98 % (1120000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.98 % (1120000)CaDiCaL version: 2.1.3
% 3.46/0.98 % (1120000)Termination reason: Instruction limit
% 3.46/0.98 % (1120000)Termination phase: SInE selection
% 3.46/0.98 % (1120000)Time elapsed: 0.031 s
% 3.46/0.98 % (1120000)Peak memory usage: 11 MB
% 3.46/0.98 % (1120000)Instructions burned: 67 (million)
% 3.46/0.98 % (1120004)Instruction limit reached!
% 3.46/0.98 % (1120004)------------------------------
% 3.46/0.98 % (1120004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.98 % (1120004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.98 % (1120004)CaDiCaL version: 2.1.3
% 3.46/0.98 % (1120004)Termination reason: Instruction limit
% 3.46/0.98 % (1120004)Termination phase: shuffling
% 3.46/0.98 % (1120004)Time elapsed: 0.008 s
% 3.46/0.98 % (1120004)Peak memory usage: 10 MB
% 3.46/0.98 % (1120004)Instructions burned: 32 (million)
% 3.46/0.98 % (1120007)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3973064674:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.46/0.98 % (1120006)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2014339381:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.46/0.98 % (1120007)Instruction limit reached!
% 3.46/0.98 % (1120007)------------------------------
% 3.46/0.98 % (1120007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.98 % (1120007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.98 % (1120007)CaDiCaL version: 2.1.3
% 3.46/0.98 % (1120007)Termination reason: Instruction limit
% 3.46/0.98 % (1120007)Termination phase: Property scanning
% 3.46/0.98 % (1120007)Time elapsed: 0.009 s
% 3.46/0.98 % (1120007)Peak memory usage: 10 MB
% 3.46/0.98 % (1120007)Instructions burned: 38 (million)
% 3.46/0.98 % (1119996)Instruction limit reached!
% 3.46/0.98 % (1119996)------------------------------
% 3.46/0.98 % (1119996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.98 % (1119996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.98 % (1119996)CaDiCaL version: 2.1.3
% 3.46/0.98 % (1119996)Termination reason: Instruction limit
% 3.46/0.98 % (1119996)Termination phase: Saturation
% 3.46/0.98 % (1119996)Time elapsed: 0.098 s
% 3.46/0.98 % (1119996)Peak memory usage: 14 MB
% 3.46/0.98 % (1119996)Instructions burned: 202 (million)
% 3.46/0.98 % (1120010)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=472156370:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2994 on theBenchmark for (2994ds/67Mi)
% 3.46/0.98 % (1119907)Instruction limit reached!
% 3.46/0.98 % (1119907)------------------------------
% 3.46/0.98 % (1119907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.98 % (1119907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.98 % (1119907)CaDiCaL version: 2.1.3
% 3.46/0.98 % (1119907)Termination reason: Instruction limit
% 3.46/0.98 % (1119907)Termination phase: Saturation
% 3.46/0.98 % (1119907)Time elapsed: 0.465 s
% 3.46/0.98 % (1119907)Peak memory usage: 15 MB
% 3.46/0.98 % (1119907)Instructions burned: 635 (million)
% 3.46/0.98 % (1120011)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.46/0.98 % (1120011)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3374606408:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 3.46/0.98 % (1120010)Instruction limit reached!
% 3.46/0.98 % (1120010)------------------------------
% 3.46/0.98 % (1120010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.98 % (1120010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.98 % (1120010)CaDiCaL version: 2.1.3
% 3.46/0.98 % (1120010)Termination reason: Instruction limit
% 3.46/0.98 % (1120010)Termination phase: Property scanning
% 3.46/0.98 % (1120010)Time elapsed: 0.017 s
% 3.46/0.98 % (1120010)Peak memory usage: 11 MB
% 3.46/0.98 % (1120010)Instructions burned: 70 (million)
% 3.46/0.98 % (1120013)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3424810373:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 3.46/0.98 % (1120015)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=964461856:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 3.46/0.98 % (1120006)Instruction limit reached!
% 3.46/0.98 % (1120006)------------------------------
% 3.46/0.98 % (1120006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.98 % (1120006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.98 % (1120006)CaDiCaL version: 2.1.3
% 3.46/0.98 % (1120006)Termination reason: Instruction limit
% 3.46/0.98 % (1120006)Termination phase: Saturation
% 3.46/0.98 % (1120006)Time elapsed: 0.070 s
% 3.46/0.98 % (1120006)Peak memory usage: 14 MB
% 3.46/0.98 % (1120006)Instructions burned: 138 (million)
% 3.46/0.98 % (1120015)Instruction limit reached!
% 3.46/0.98 % (1120015)------------------------------
% 3.46/0.98 % (1120015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.98 % (1120015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.98 % (1120015)CaDiCaL version: 2.1.3
% 3.46/0.98 % (1120015)Termination reason: Instruction limit
% 3.46/0.98 % (1120015)Termination phase: Saturation
% 3.46/0.98 % (1120015)Time elapsed: 0.025 s
% 3.46/0.98 % (1120015)Peak memory usage: 13 MB
% 3.46/0.98 % (1120015)Instructions burned: 99 (million)
% 3.46/0.98 % (1120019)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=115023530:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 3.46/0.98 % (1120018)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2869041175:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 3.46/0.98 % (1120011)Instruction limit reached!
% 3.46/0.98 % (1120011)------------------------------
% 3.46/0.98 % (1120011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.98 % (1120011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.98 % (1120011)CaDiCaL version: 2.1.3
% 3.46/0.98 % (1120011)Termination reason: Instruction limit
% 3.46/0.98 % (1120011)Termination phase: Saturation
% 3.46/0.98 % (1120011)Time elapsed: 0.081 s
% 3.46/0.98 % (1120011)Peak memory usage: 13 MB
% 3.46/0.98 % (1120011)Instructions burned: 182 (million)
% 3.46/0.98 % (1119991)Instruction limit reached!
% 3.46/0.98 % (1119991)------------------------------
% 3.46/0.98 % (1119991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.98 % (1119991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.98 % (1119991)CaDiCaL version: 2.1.3
% 3.46/0.98 % (1119991)Termination reason: Instruction limit
% 3.46/0.98 % (1119991)Termination phase: Saturation
% 3.46/0.98 % (1119991)Time elapsed: 0.231 s
% 3.46/0.98 % (1119991)Peak memory usage: 16 MB
% 3.46/0.98 % (1119991)Instructions burned: 480 (million)
% 3.46/0.98 % (1120022)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=577088803:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/515Mi)
% 3.46/0.98 % (1120023)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3445284990:st=1.5:i=130:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/130Mi)
% 3.46/0.98 % (1120013)Instruction limit reached!
% 3.46/0.98 % (1120013)------------------------------
% 3.46/0.98 % (1120013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.98 % (1120013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.98 % (1120013)CaDiCaL version: 2.1.3
% 3.46/0.98 % (1120013)Termination reason: Instruction limit
% 3.46/0.98 % (1120013)Termination phase: Saturation
% 3.46/0.98 % (1120013)Time elapsed: 0.123 s
% 3.46/0.98 % (1120013)Peak memory usage: 14 MB
% 3.46/0.98 % (1120013)Instructions burned: 247 (million)
% 3.46/0.98 % (1120018) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1119899-1120018"...
% 3.46/0.98 % (1120018)...printing done.
% 3.46/0.98 % (1120018)Refutation found. Thanks to Tanya!
% 3.46/0.98 % SZS status Theorem for theBenchmark
% 3.46/0.98 % SZS output start Proof for theBenchmark
% 3.46/0.98 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 3.46/0.98 thf(type_def_6, type, variable: $tType).
% 3.46/0.98 thf(type_def_7, type, option: $tType > $tType).
% 3.46/0.98 thf(type_def_8, type, game: $tType).
% 3.46/0.98 thf(type_def_9, type, char: $tType).
% 3.46/0.98 thf(type_def_10, type, trm: $tType).
% 3.46/0.98 thf(type_def_11, type, fml: $tType).
% 3.46/0.98 thf(type_def_12, type, set: $tType > $tType).
% 3.46/0.98 thf(type_def_13, type, sTfun: ($tType * $tType) > $tType).
% 3.46/0.98 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 3.46/0.98 thf(func_def_1, type, ord: !>[X0: $tType]:($o)).
% 3.46/0.98 thf(func_def_2, type, order: !>[X0: $tType]:($o)).
% 3.46/0.98 thf(func_def_3, type, lattice: !>[X0: $tType]:($o)).
% 3.46/0.98 thf(func_def_4, type, linorder: !>[X0: $tType]:($o)).
% 3.46/0.98 thf(func_def_5, type, preorder: !>[X0: $tType]:($o)).
% 3.46/0.98 thf(func_def_6, type, semilattice_sup: !>[X0: $tType]:($o)).
% 3.46/0.98 thf(func_def_7, type, bNF_Ca1785829860lChain: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > $o))).
% 3.46/0.98 thf(func_def_8, type, bNF_csquare: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set @ X0 > (X1 > X2) > (X3 > X2) > (X0 > X1) > (X0 > X3) > $o))).
% 3.46/0.98 thf(func_def_9, type, bNF_fstOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X0 @ X1))).
% 3.46/0.98 thf(func_def_10, type, bNF_pick_middlep: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > X1))).
% 3.46/0.98 thf(func_def_11, type, bNF_sndOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2))).
% 3.46/0.98 thf(func_def_12, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 3.46/0.98 thf(func_def_13, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 3.46/0.98 thf(func_def_14, type, none: !>[X0: $tType]:(option @ X0)).
% 3.46/0.98 thf(func_def_15, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 3.46/0.98 thf(func_def_16, type, case_option: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > option @ X1 > X0))).
% 3.46/0.98 thf(func_def_17, type, the: !>[X0: $tType]:((option @ X0 > X0))).
% 3.46/0.98 thf(func_def_18, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.46/0.98 thf(func_def_19, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 3.46/0.98 thf(func_def_20, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 3.46/0.98 thf(func_def_21, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 3.46/0.98 thf(func_def_22, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 3.46/0.98 thf(func_def_23, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 3.46/0.98 thf(func_def_24, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 3.46/0.98 thf(func_def_25, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 3.46/0.98 thf(func_def_26, type, product_scomp: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > product_prod @ X1 @ X2) > (X1 > X2 > X3) > X0 > X3))).
% 3.46/0.98 thf(func_def_27, type, relcompp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > $o))).
% 3.46/0.98 thf(func_def_28, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 3.46/0.98 thf(func_def_29, type, static_BVG: (game > set @ variable)).
% 3.46/0.98 thf(func_def_30, type, choice: (game > game > game)).
% 3.46/0.98 thf(func_def_31, type, compose: (game > game > game)).
% 3.46/0.98 thf(func_def_32, type, loop: (game > game)).
% 3.46/0.98 thf(func_def_33, type, uSubst1976112797hoiceo: (option @ game > option @ game > option @ game)).
% 3.46/0.98 thf(func_def_34, type, uSubst1385204910mposeo: (option @ game > option @ game > option @ game)).
% 3.46/0.98 thf(func_def_35, type, uSubst993936602_Loopo: (option @ game > option @ game)).
% 3.46/0.98 thf(func_def_36, type, uSubst95898988stappp: (product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > game > product_prod @ set @ variable @ option @ game)).
% 3.46/0.98 thf(func_def_37, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 3.46/0.98 thf(func_def_38, type, ua: set @ variable).
% 3.46/0.98 thf(func_def_39, type, alpha: game).
% 3.46/0.98 thf(func_def_40, type, beta: game).
% 3.46/0.98 thf(func_def_41, type, sigma: product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game)).
% 3.46/0.98 thf(func_def_45, type, vNOT: ($o > $o)).
% 3.46/0.98 thf(func_def_46, type, vAND: ($o > $o > $o)).
% 3.46/0.98 thf(func_def_47, type, db2: !>[X0: $tType]:(X0)).
% 3.46/0.98 thf(func_def_48, type, db1: !>[X0: $tType]:(X0)).
% 3.46/0.98 thf(func_def_49, type, db0: !>[X0: $tType]:(X0)).
% 3.46/0.98 thf(func_def_50, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 3.46/0.98 thf(func_def_51, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.46/0.98 thf(func_def_52, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.46/0.98 thf(func_def_53, type, vIMP: ($o > $o > $o)).
% 3.46/0.98 thf(func_def_54, type, vOR: ($o > $o > $o)).
% 3.46/0.98 thf(func_def_55, type, db3: !>[X0: $tType]:(X0)).
% 3.46/0.98 thf(func_def_56, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.46/0.98 thf(func_def_57, type, db5: !>[X0: $tType]:(X0)).
% 3.46/0.98 thf(func_def_58, type, db4: !>[X0: $tType]:(X0)).
% 3.46/0.98 thf(func_def_59, type, sK0: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 3.46/0.98 thf(func_def_60, type, sK1: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X1))).
% 3.46/0.98 thf(func_def_61, type, sK2: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X0))).
% 3.46/0.98 thf(func_def_62, type, sK3: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 3.46/0.98 thf(func_def_63, type, sK4: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 3.46/0.98 thf(f1,axiom,(
% 3.46/0.98 (ord_less_eq @ set @ variable @ (sup_sup @ set @ variable @ (sup_sup @ set @ variable @ ua @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))))) @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta))))) @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta)))),
% 3.46/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062U_A_092_060union_062_ABVG_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_J_A_092_060union_062_ABVG_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_A_Ifst_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_A_092_060beta_062_J_J_J_A_092_060subseteq_062_Afst_A_Iusubstappp_A_092_060sigma_062_A_Ifst_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_A_092_060beta_062_J_092_060close_062)).
% 3.46/0.98 thf(f2,axiom,(
% 3.46/0.98 (ord_less_eq @ set @ variable @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ (compose @ alpha @ beta))))) @ (sup_sup @ set @ variable @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)))) @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta))))))),
% 3.46/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_fact)).
% 3.46/0.98 thf(f28,axiom,(
% 3.46/0.98 ! [X0 : $tType,X1 : set @ X0,X3 : set @ X0,X2 : set @ X0] : ((ord_less_eq @ set @ X0 @ X1 @ X2) => ((ord_less_eq @ set @ X0 @ X2 @ X3) => (ord_less_eq @ set @ X0 @ X1 @ X3)))),
% 3.46/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_subset__trans)).
% 3.46/0.98 thf(f33,axiom,(
% 3.46/0.98 ! [X0 : $tType,X2 : set @ X0,X1 : set @ X0] : ((X1 = X2) => (ord_less_eq @ set @ X0 @ X1 @ X2))),
% 3.46/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_equalityD1)).
% 3.46/0.98 thf(f60,axiom,(
% 3.46/0.98 ! [X0 : $tType,X3 : set @ X0,X2 : set @ X0,X1 : set @ X0] : (((sup_sup @ set @ X0 @ (sup_sup @ set @ X0 @ X1 @ X2) @ X3)) = ((sup_sup @ set @ X0 @ X1 @ (sup_sup @ set @ X0 @ X2 @ X3))))),
% 3.46/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_Un__assoc)).
% 3.46/0.98 thf(f102,axiom,(
% 3.46/0.98 ! [X0 : $tType,X3 : set @ X0,X2 : set @ X0,X4 : set @ X0,X1 : set @ X0] : ((ord_less_eq @ set @ X0 @ X1 @ X2) => ((ord_less_eq @ set @ X0 @ X3 @ X4) => (ord_less_eq @ set @ X0 @ (sup_sup @ set @ X0 @ X1 @ X3) @ (sup_sup @ set @ X0 @ X2 @ X4))))),
% 3.46/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_101_Un__mono)).
% 3.46/0.98 thf(f272,conjecture,(
% 3.46/0.98 (ord_less_eq @ set @ variable @ (sup_sup @ set @ variable @ ua @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ (compose @ alpha @ beta)))))) @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta)))),
% 3.46/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 3.46/0.98 thf(f273,negated_conjecture,(
% 3.46/0.98 ~(ord_less_eq @ set @ variable @ (sup_sup @ set @ variable @ ua @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ (compose @ alpha @ beta)))))) @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta)))),
% 3.46/0.98 inference(negated_conjecture,[status(cth)],[f272])).
% 3.46/0.98 thf(f351,plain,(
% 3.46/0.98 (ord_less_eq @ set @ variable @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ (compose @ alpha @ beta))))) @ (sup_sup @ set @ variable @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)))) @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta))))))),
% 3.46/0.98 inference(rectify,[],[f2])).
% 3.46/0.98 thf(f352,plain,(
% 3.46/0.98 (((ord_less_eq @ set @ variable @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ (compose @ alpha @ beta))))) @ (sup_sup @ set @ variable @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)))) @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta))))))) = $true)),
% 3.46/0.98 inference(fool_elimination,[],[f351])).
% 3.46/0.98 thf(f375,plain,(
% 3.46/0.98 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0,X3 : set @ X0] : ((ord_less_eq @ set @ X0 @ X1 @ X3) => ((ord_less_eq @ set @ X0 @ X3 @ X2) => (ord_less_eq @ set @ X0 @ X1 @ X2)))),
% 3.46/0.98 inference(rectify,[],[f28])).
% 3.46/0.98 thf(f376,plain,(
% 3.46/0.98 ! [X0 : $tType,X3 : set @ X0,X2 : set @ X0,X1 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X1 @ X3)) = $true) => ((((ord_less_eq @ set @ X0 @ X3 @ X2)) = $true) => (((ord_less_eq @ set @ X0 @ X1 @ X2)) = $true)))),
% 3.46/0.98 inference(fool_elimination,[],[f375])).
% 3.46/0.98 thf(f392,plain,(
% 3.46/0.98 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0,X3 : set @ X0,X4 : set @ X0] : ((ord_less_eq @ set @ X0 @ X4 @ X2) => ((ord_less_eq @ set @ X0 @ X1 @ X3) => (ord_less_eq @ set @ X0 @ (sup_sup @ set @ X0 @ X4 @ X1) @ (sup_sup @ set @ X0 @ X2 @ X3))))),
% 3.46/0.98 inference(rectify,[],[f102])).
% 3.46/0.98 thf(f393,plain,(
% 3.46/0.98 ! [X0 : $tType,X2 : set @ X0,X1 : set @ X0,X4 : set @ X0,X3 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X4 @ X2)) = $true) => ((((ord_less_eq @ set @ X0 @ X1 @ X3)) = $true) => (((ord_less_eq @ set @ X0 @ (sup_sup @ set @ X0 @ X4 @ X1) @ (sup_sup @ set @ X0 @ X2 @ X3))) = $true)))),
% 3.46/0.98 inference(fool_elimination,[],[f392])).
% 3.46/0.98 thf(f442,plain,(
% 3.46/0.98 (ord_less_eq @ set @ variable @ (sup_sup @ set @ variable @ (sup_sup @ set @ variable @ ua @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))))) @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta))))) @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta)))),
% 3.46/0.98 inference(rectify,[],[f1])).
% 3.46/0.98 thf(f443,plain,(
% 3.46/0.98 (((ord_less_eq @ set @ variable @ (sup_sup @ set @ variable @ (sup_sup @ set @ variable @ ua @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))))) @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta))))) @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta)))) = $true)),
% 3.46/0.98 inference(fool_elimination,[],[f442])).
% 3.46/0.98 thf(f496,plain,(
% 3.46/0.98 ~(ord_less_eq @ set @ variable @ (sup_sup @ set @ variable @ ua @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ (compose @ alpha @ beta)))))) @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta)))),
% 3.46/0.98 inference(rectify,[],[f273])).
% 3.46/0.98 thf(f497,plain,(
% 3.46/0.98 ~ (((ord_less_eq @ set @ variable @ (sup_sup @ set @ variable @ ua @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ (compose @ alpha @ beta)))))) @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta)))) = $true)),
% 3.46/0.98 inference(fool_elimination,[],[f496])).
% 3.46/0.98 thf(f527,plain,(
% 3.46/0.98 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0] : ((X1 = X2) => (ord_less_eq @ set @ X0 @ X2 @ X1))),
% 3.46/0.98 inference(rectify,[],[f33])).
% 3.46/0.98 thf(f528,plain,(
% 3.46/0.98 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0] : ((X1 = X2) => (((ord_less_eq @ set @ X0 @ X2 @ X1)) = $true))),
% 3.46/0.98 inference(fool_elimination,[],[f527])).
% 3.46/0.98 thf(f674,plain,(
% 3.46/0.98 (((ord_less_eq @ set @ variable @ (sup_sup @ set @ variable @ ua @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ (compose @ alpha @ beta)))))) @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta)))) != $true)),
% 3.46/0.98 inference(flattening,[],[f497])).
% 3.46/0.98 thf(f677,plain,(
% 3.46/0.98 ! [X0 : $tType,X1 : set @ X0,X3 : set @ X0,X2 : set @ X0] : (((sup_sup @ set @ X0 @ X3 @ (sup_sup @ set @ X0 @ X2 @ X1))) = ((sup_sup @ set @ X0 @ (sup_sup @ set @ X0 @ X3 @ X2) @ X1)))),
% 3.46/0.98 inference(rectify,[],[f60])).
% 3.46/0.98 thf(f717,plain,(
% 3.46/0.98 ! [X0 : $tType,X2 : set @ X0,X1 : set @ X0,X4 : set @ X0,X3 : set @ X0] : (((((ord_less_eq @ set @ X0 @ (sup_sup @ set @ X0 @ X4 @ X1) @ (sup_sup @ set @ X0 @ X2 @ X3))) = $true) | (((ord_less_eq @ set @ X0 @ X1 @ X3)) != $true)) | (((ord_less_eq @ set @ X0 @ X4 @ X2)) != $true))),
% 3.46/0.98 inference(ennf_transformation,[],[f393])).
% 3.46/0.98 thf(f718,plain,(
% 3.46/0.98 ! [X0 : $tType,X1 : set @ X0,X3 : set @ X0,X4 : set @ X0,X2 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X1 @ X3)) != $true) | (((ord_less_eq @ set @ X0 @ X4 @ X2)) != $true) | (((ord_less_eq @ set @ X0 @ (sup_sup @ set @ X0 @ X4 @ X1) @ (sup_sup @ set @ X0 @ X2 @ X3))) = $true))),
% 3.46/0.98 inference(flattening,[],[f717])).
% 3.46/0.98 thf(f719,plain,(
% 3.46/0.98 ! [X0 : $tType,X2 : set @ X0,X1 : set @ X0] : ((X1 != X2) | (((ord_less_eq @ set @ X0 @ X2 @ X1)) = $true))),
% 3.46/0.98 inference(ennf_transformation,[],[f528])).
% 3.46/0.98 thf(f724,plain,(
% 3.46/0.98 ! [X0 : $tType,X3 : set @ X0,X2 : set @ X0,X1 : set @ X0] : (((((ord_less_eq @ set @ X0 @ X1 @ X2)) = $true) | (((ord_less_eq @ set @ X0 @ X3 @ X2)) != $true)) | (((ord_less_eq @ set @ X0 @ X1 @ X3)) != $true))),
% 3.46/0.98 inference(ennf_transformation,[],[f376])).
% 3.46/0.98 thf(f725,plain,(
% 3.46/0.98 ! [X0 : $tType,X2 : set @ X0,X3 : set @ X0,X1 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X3 @ X2)) != $true) | (((ord_less_eq @ set @ X0 @ X1 @ X2)) = $true) | (((ord_less_eq @ set @ X0 @ X1 @ X3)) != $true))),
% 3.46/0.98 inference(flattening,[],[f724])).
% 3.46/0.98 thf(f729,plain,(
% 3.46/0.98 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0,X3 : set @ X0,X4 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X1 @ X2)) != $true) | (((ord_less_eq @ set @ X0 @ X3 @ X4)) != $true) | (((ord_less_eq @ set @ X0 @ (sup_sup @ set @ X0 @ X3 @ X1) @ (sup_sup @ set @ X0 @ X4 @ X2))) = $true))),
% 3.46/0.98 inference(rectify,[],[f718])).
% 3.46/0.98 thf(f734,plain,(
% 3.46/0.98 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0,X3 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X2 @ X1)) != $true) | (((ord_less_eq @ set @ X0 @ X3 @ X1)) = $true) | (((ord_less_eq @ set @ X0 @ X3 @ X2)) != $true))),
% 3.46/0.98 inference(rectify,[],[f725])).
% 3.46/0.98 thf(f738,plain,(
% 3.46/0.98 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0] : ((X1 != X2) | (((ord_less_eq @ set @ X0 @ X1 @ X2)) = $true))),
% 3.46/0.98 inference(rectify,[],[f719])).
% 3.46/0.98 thf(f747,plain,(
% 3.46/0.98 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0,X3 : set @ X0] : (((sup_sup @ set @ X0 @ (sup_sup @ set @ X0 @ X2 @ X3) @ X1)) = ((sup_sup @ set @ X0 @ X2 @ (sup_sup @ set @ X0 @ X3 @ X1))))),
% 3.46/0.98 inference(rectify,[],[f677])).
% 3.46/0.98 thf(f765,plain,(
% 3.46/0.98 ( ! [X0 : $tType,X2 : set @ X0,X3 : set @ X0,X1 : set @ X0,X4 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X3 @ X4)) != $true) | (((ord_less_eq @ set @ X0 @ (sup_sup @ set @ X0 @ X3 @ X1) @ (sup_sup @ set @ X0 @ X4 @ X2))) = $true) | (((ord_less_eq @ set @ X0 @ X1 @ X2)) != $true)) )),
% 3.46/0.98 inference(cnf_transformation,[],[f729])).
% 3.46/0.98 thf(f771,plain,(
% 3.46/0.98 (((ord_less_eq @ set @ variable @ (sup_sup @ set @ variable @ ua @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ (compose @ alpha @ beta)))))) @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta)))) != $true)),
% 3.46/0.98 inference(cnf_transformation,[],[f674])).
% 3.46/0.98 thf(f772,plain,(
% 3.46/0.98 (((ord_less_eq @ set @ variable @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ (compose @ alpha @ beta))))) @ (sup_sup @ set @ variable @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)))) @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta))))))) = $true)),
% 3.46/0.98 inference(cnf_transformation,[],[f352])).
% 3.46/0.98 thf(f774,plain,(
% 3.46/0.98 ( ! [X0 : $tType,X2 : set @ X0,X3 : set @ X0,X1 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X3 @ X2)) != $true) | (((ord_less_eq @ set @ X0 @ X3 @ X1)) = $true) | (((ord_less_eq @ set @ X0 @ X2 @ X1)) != $true)) )),
% 3.46/0.98 inference(cnf_transformation,[],[f734])).
% 3.46/0.98 thf(f781,plain,(
% 3.46/0.98 ( ! [X0 : $tType,X2 : set @ X0,X1 : set @ X0] : ((X1 != X2) | (((ord_less_eq @ set @ X0 @ X1 @ X2)) = $true)) )),
% 3.46/0.98 inference(cnf_transformation,[],[f738])).
% 3.46/0.98 thf(f790,plain,(
% 3.46/0.98 ( ! [X0 : $tType,X2 : set @ X0,X3 : set @ X0,X1 : set @ X0] : ((((sup_sup @ set @ X0 @ (sup_sup @ set @ X0 @ X2 @ X3) @ X1)) = ((sup_sup @ set @ X0 @ X2 @ (sup_sup @ set @ X0 @ X3 @ X1))))) )),
% 3.46/0.98 inference(cnf_transformation,[],[f747])).
% 3.46/0.98 thf(f792,plain,(
% 3.46/0.98 (((ord_less_eq @ set @ variable @ (sup_sup @ set @ variable @ (sup_sup @ set @ variable @ ua @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))))) @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta))))) @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta)))) = $true)),
% 3.46/0.98 inference(cnf_transformation,[],[f443])).
% 3.46/0.98 thf(f827,plain,(
% 3.46/0.98 ( ! [X0 : $tType,X2 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X2 @ X2)) = $true)) )),
% 3.46/0.98 inference(equality_resolution,[],[f781])).
% 3.46/0.98 thf(f847,plain,(
% 3.46/0.98 ($true != ((ord_less_eq @ set @ variable @ (sup_sup @ set @ variable @ ua @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ (compose @ alpha @ beta)))))) @ (sup_sup @ set @ variable @ (sup_sup @ set @ variable @ ua @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha))))) @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta))))))))),
% 3.46/0.98 inference(unit_resulting_resolution,[],[f774,f792,f771])).
% 3.46/0.98 thf(f863,plain,(
% 3.46/0.98 ($true != ((ord_less_eq @ set @ variable @ (sup_sup @ set @ variable @ ua @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ (compose @ alpha @ beta)))))) @ (sup_sup @ set @ variable @ ua @ (sup_sup @ set @ variable @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)))) @ (static_BVG @ (the @ game @ (product_snd @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ (product_fst @ set @ variable @ option @ game @ (uSubst95898988stappp @ sigma @ ua @ alpha)) @ beta)))))))))),
% 3.46/0.98 inference(forward_demodulation,[],[f847,f790])).
% 3.46/0.98 thf(f1215,plain,(
% 3.46/0.98 $false),
% 3.46/0.98 inference(unit_resulting_resolution,[],[f765,f827,f772,f863])).
% 3.46/0.98 % SZS output end Proof for theBenchmark
% 3.46/0.98 % (1120018)------------------------------
% 3.46/0.98 % (1120018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.98 % (1120018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.98 % (1120018)CaDiCaL version: 2.1.3
% 3.46/0.98 % (1120018)Termination reason: Refutation
% 3.46/0.98 % (1120018)Time elapsed: 0.089 s
% 3.46/0.98 % (1120018)Peak memory usage: 14 MB
% 3.46/0.98 % (1120018)Instructions burned: 176 (million)
% 3.46/0.98 % (1119899)Success in time 0.693 s
% 3.46/0.98 % Vampire exiting
%------------------------------------------------------------------------------