%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV203^5 : TPTP v9.3.1. Released v4.0.0.
% 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 08:38:01 AM UTC 2026
% Result : Theorem 2.54s 0.68s
% Output : Refutation 2.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV203^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n026.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 15:23:33 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
% 0.09/0.24 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
% 0.76/0.37 % (726370)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.76/0.37 % (726380)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3724440278:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.76/0.37 % (726381)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.76/0.37 % (726381)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
% 0.76/0.37 % (726375)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2869750468:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.76/0.37 % (726376)lrs+10_16_si=on:nwc=1.5:random_seed=3992597447:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.76/0.37 % (726377)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1046783230:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.76/0.37 % (726381)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=2608905503:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.76/0.37 % (726379)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1380474334:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.76/0.37 % (726378)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=2930787120: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)
% 0.76/0.37 % (726377)Instruction limit reached!
% 0.76/0.37 % (726377)------------------------------
% 0.76/0.37 % (726377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.37 % (726377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.37 % (726377)CaDiCaL version: 2.1.3
% 0.76/0.37 % (726377)Termination reason: Instruction limit
% 0.76/0.37 % (726377)Termination phase: Saturation
% 0.76/0.37 % (726377)Time elapsed: 0.003 s
% 0.76/0.37 % (726377)Peak memory usage: 12 MB
% 0.76/0.37 % (726377)Instructions burned: 4 (million)
% 0.76/0.37 % (726376)Instruction limit reached!
% 0.76/0.37 % (726376)------------------------------
% 0.76/0.37 % (726376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.37 % (726376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.37 % (726376)CaDiCaL version: 2.1.3
% 0.76/0.37 % (726376)Termination reason: Instruction limit
% 0.76/0.37 % (726376)Termination phase: Saturation
% 0.76/0.37 % (726376)Time elapsed: 0.010 s
% 0.76/0.37 % (726376)Peak memory usage: 12 MB
% 0.76/0.37 % (726376)Instructions burned: 18 (million)
% 0.76/0.37 % (726379)Instruction limit reached!
% 0.76/0.37 % (726379)------------------------------
% 0.76/0.37 % (726379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.37 % (726379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.37 % (726379)CaDiCaL version: 2.1.3
% 0.76/0.37 % (726379)Termination reason: Instruction limit
% 0.76/0.37 % (726379)Termination phase: Saturation
% 0.76/0.37 % (726379)Time elapsed: 0.014 s
% 0.76/0.37 % (726379)Peak memory usage: 12 MB
% 0.76/0.37 % (726379)Instructions burned: 24 (million)
% 0.76/0.37 % (726380)Instruction limit reached!
% 0.76/0.37 % (726380)------------------------------
% 0.76/0.37 % (726380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.37 % (726380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.37 % (726380)CaDiCaL version: 2.1.3
% 0.76/0.37 % (726380)Termination reason: Instruction limit
% 0.76/0.37 % (726380)Termination phase: Saturation
% 0.76/0.37 % (726380)Time elapsed: 0.021 s
% 0.76/0.37 % (726380)Peak memory usage: 13 MB
% 0.76/0.37 % (726380)Instructions burned: 75 (million)
% 0.76/0.37 % (726389)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=748648981:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.76/0.37 % (726389)Instruction limit reached!
% 0.76/0.37 % (726389)------------------------------
% 0.76/0.37 % (726389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.37 % (726389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (726389)CaDiCaL version: 2.1.3
% 0.76/0.41 % (726389)Termination reason: Instruction limit
% 0.76/0.41 % (726389)Termination phase: Saturation
% 0.76/0.41 % (726389)Time elapsed: 0.002 s
% 0.76/0.41 % (726389)Peak memory usage: 12 MB
% 0.76/0.41 % (726389)Instructions burned: 3 (million)
% 0.76/0.41 % (726392)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1570500060:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.76/0.41 % (726391)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.76/0.41 % (726390)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1472970666:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.76/0.41 % (726392)Instruction limit reached!
% 0.76/0.41 % (726392)------------------------------
% 0.76/0.41 % (726392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (726392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (726392)CaDiCaL version: 2.1.3
% 0.76/0.41 % (726392)Termination reason: Instruction limit
% 0.76/0.41 % (726392)Termination phase: Saturation
% 0.76/0.41 % (726392)Time elapsed: 0.004 s
% 0.76/0.41 % (726392)Peak memory usage: 12 MB
% 0.76/0.41 % (726392)Instructions burned: 13 (million)
% 0.76/0.41 % (726391)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=280201187:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.76/0.41 % (726390)Instruction limit reached!
% 0.76/0.41 % (726390)------------------------------
% 0.76/0.41 % (726390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (726390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (726390)CaDiCaL version: 2.1.3
% 0.76/0.41 % (726390)Termination reason: Instruction limit
% 0.76/0.41 % (726390)Termination phase: Saturation
% 0.76/0.41 % (726390)Time elapsed: 0.004 s
% 0.76/0.41 % (726390)Peak memory usage: 12 MB
% 0.76/0.41 % (726390)Instructions burned: 6 (million)
% 0.76/0.41 % (726391)Instruction limit reached!
% 0.76/0.41 % (726391)------------------------------
% 0.76/0.41 % (726391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (726391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (726391)CaDiCaL version: 2.1.3
% 0.76/0.41 % (726391)Termination reason: Instruction limit
% 0.76/0.41 % (726391)Termination phase: Saturation
% 0.76/0.41 % (726391)Time elapsed: 0.004 s
% 0.76/0.41 % (726391)Peak memory usage: 12 MB
% 0.76/0.41 % (726391)Instructions burned: 8 (million)
% 0.76/0.41 % (726397)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=3599600899:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.76/0.41 % (726395)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
% 0.76/0.41 % (726395)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.76/0.41 % (726395)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3629235909:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.76/0.41 % (726375)Instruction limit reached!
% 0.76/0.41 % (726375)------------------------------
% 0.76/0.41 % (726375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (726375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (726375)CaDiCaL version: 2.1.3
% 0.76/0.41 % (726375)Termination reason: Instruction limit
% 0.76/0.41 % (726375)Termination phase: Saturation
% 0.76/0.41 % (726375)Time elapsed: 0.049 s
% 0.76/0.41 % (726375)Peak memory usage: 12 MB
% 0.76/0.41 % (726375)Instructions burned: 88 (million)
% 0.76/0.41 % (726400)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.76/0.41 % (726399)lrs+10_1_si=on:cs=on:random_seed=3265465192:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.76/0.45 % (726400)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=2365529153:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.76/0.45 % (726399)Instruction limit reached!
% 0.76/0.45 % (726399)------------------------------
% 0.76/0.45 % (726399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.45 % (726399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.45 % (726399)CaDiCaL version: 2.1.3
% 0.76/0.45 % (726399)Termination reason: Instruction limit
% 0.76/0.45 % (726399)Termination phase: Saturation
% 0.76/0.45 % (726399)Time elapsed: 0.005 s
% 0.76/0.45 % (726399)Peak memory usage: 12 MB
% 0.76/0.45 % (726399)Instructions burned: 9 (million)
% 0.76/0.45 % (726400)Instruction limit reached!
% 0.76/0.45 % (726400)------------------------------
% 0.76/0.45 % (726400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.45 % (726400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.45 % (726400)CaDiCaL version: 2.1.3
% 0.76/0.45 % (726400)Termination reason: Instruction limit
% 0.76/0.45 % (726400)Termination phase: Saturation
% 0.76/0.45 % (726400)Time elapsed: 0.002 s
% 0.76/0.45 % (726400)Peak memory usage: 11 MB
% 0.76/0.45 % (726400)Instructions burned: 4 (million)
% 0.76/0.45 % (726395)Instruction limit reached!
% 0.76/0.45 % (726395)------------------------------
% 0.76/0.45 % (726395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.45 % (726395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.45 % (726395)CaDiCaL version: 2.1.3
% 0.76/0.45 % (726395)Termination reason: Instruction limit
% 0.76/0.45 % (726395)Termination phase: Saturation
% 0.76/0.45 % (726395)Time elapsed: 0.016 s
% 0.76/0.45 % (726395)Peak memory usage: 12 MB
% 0.76/0.45 % (726395)Instructions burned: 28 (million)
% 0.76/0.45 % (726397)Instruction limit reached!
% 0.76/0.45 % (726397)------------------------------
% 0.76/0.45 % (726397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.45 % (726397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.45 % (726397)CaDiCaL version: 2.1.3
% 0.76/0.45 % (726397)Termination reason: Instruction limit
% 0.76/0.45 % (726397)Termination phase: Saturation
% 0.76/0.45 % (726397)Time elapsed: 0.024 s
% 0.76/0.45 % (726397)Peak memory usage: 12 MB
% 0.76/0.45 % (726397)Instructions burned: 87 (million)
% 0.76/0.45 % (726403)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2681077438:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.76/0.45 % (726409)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=117586598:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.76/0.45 % (726406)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3520447590:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.76/0.45 % (726407)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1935533265:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.76/0.45 % (726408)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=568369186:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.76/0.45 % (726407)Refutation not found, incomplete strategy
% 0.76/0.45 % (726407)------------------------------
% 0.76/0.45 % (726407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.45 % (726407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.45 % (726407)CaDiCaL version: 2.1.3
% 0.76/0.45 % (726407)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.45 % (726407)Time elapsed: 0.004 s
% 0.76/0.45 % (726407)Peak memory usage: 12 MB
% 0.76/0.45 % (726407)Instructions burned: 5 (million)
% 0.76/0.45 % (726407)------------------------------
% 0.76/0.45 % (726407)------------------------------
% 0.76/0.45 % (726381)Instruction limit reached!
% 0.76/0.45 % (726381)------------------------------
% 0.76/0.45 % (726381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.45 % (726381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.45 % (726381)CaDiCaL version: 2.1.3
% 0.76/0.45 % (726381)Termination reason: Instruction limit
% 1.46/0.50 % (726381)Termination phase: Saturation
% 1.46/0.50 % (726381)Time elapsed: 0.084 s
% 1.46/0.50 % (726381)Peak memory usage: 13 MB
% 1.46/0.50 % (726381)Instructions burned: 157 (million)
% 1.46/0.50 % (726403)Instruction limit reached!
% 1.46/0.50 % (726403)------------------------------
% 1.46/0.50 % (726403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.50 % (726403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.50 % (726403)CaDiCaL version: 2.1.3
% 1.46/0.50 % (726403)Termination reason: Instruction limit
% 1.46/0.50 % (726403)Termination phase: Saturation
% 1.46/0.50 % (726403)Time elapsed: 0.023 s
% 1.46/0.50 % (726403)Peak memory usage: 13 MB
% 1.46/0.50 % (726403)Instructions burned: 39 (million)
% 1.46/0.50 % (726408)Instruction limit reached!
% 1.46/0.50 % (726408)------------------------------
% 1.46/0.50 % (726408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.50 % (726408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.50 % (726408)CaDiCaL version: 2.1.3
% 1.46/0.50 % (726408)Termination reason: Instruction limit
% 1.46/0.50 % (726408)Termination phase: Saturation
% 1.46/0.50 % (726408)Time elapsed: 0.009 s
% 1.46/0.50 % (726408)Peak memory usage: 12 MB
% 1.46/0.50 % (726408)Instructions burned: 14 (million)
% 1.46/0.50 % (726415)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3825078764:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.46/0.50 % (726416)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3524925504: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)
% 1.46/0.50 % (726416)Instruction limit reached!
% 1.46/0.50 % (726416)------------------------------
% 1.46/0.50 % (726416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.50 % (726416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.50 % (726416)CaDiCaL version: 2.1.3
% 1.46/0.50 % (726416)Termination reason: Instruction limit
% 1.46/0.50 % (726416)Termination phase: Saturation
% 1.46/0.50 % (726416)Time elapsed: 0.002 s
% 1.46/0.50 % (726416)Peak memory usage: 11 MB
% 1.46/0.50 % (726416)Instructions burned: 3 (million)
% 1.46/0.50 % (726418)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3452173176:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.46/0.50 % (726417)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3615544705:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.46/0.50 % (726415)Instruction limit reached!
% 1.46/0.50 % (726415)------------------------------
% 1.46/0.50 % (726415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.50 % (726415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.50 % (726415)CaDiCaL version: 2.1.3
% 1.46/0.50 % (726415)Termination reason: Instruction limit
% 1.46/0.50 % (726415)Termination phase: Saturation
% 1.46/0.50 % (726415)Time elapsed: 0.008 s
% 1.46/0.50 % (726415)Peak memory usage: 12 MB
% 1.46/0.50 % (726415)Instructions burned: 14 (million)
% 1.46/0.50 % (726418)Instruction limit reached!
% 1.46/0.50 % (726418)------------------------------
% 1.46/0.50 % (726418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.50 % (726418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.50 % (726418)CaDiCaL version: 2.1.3
% 1.46/0.50 % (726418)Termination reason: Instruction limit
% 1.46/0.50 % (726418)Termination phase: Saturation
% 1.46/0.50 % (726418)Time elapsed: 0.013 s
% 1.46/0.50 % (726418)Peak memory usage: 11 MB
% 1.46/0.50 % (726418)Instructions burned: 23 (million)
% 1.46/0.50 % (726417)Instruction limit reached!
% 1.46/0.50 % (726417)------------------------------
% 1.46/0.50 % (726417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.50 % (726417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.50 % (726417)CaDiCaL version: 2.1.3
% 1.46/0.50 % (726417)Termination reason: Instruction limit
% 1.46/0.50 % (726417)Termination phase: Saturation
% 1.46/0.50 % (726417)Time elapsed: 0.014 s
% 1.46/0.50 % (726417)Peak memory usage: 12 MB
% 1.46/0.50 % (726417)Instructions burned: 26 (million)
% 1.46/0.50 % (726421)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=187673642:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.46/0.54 % (726424)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
% 1.46/0.54 % (726424)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.46/0.54 % (726424)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=1859696017:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.46/0.54 % (726425)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.46/0.54 % (726424)Instruction limit reached!
% 1.46/0.54 % (726424)------------------------------
% 1.46/0.54 % (726424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54 % (726424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54 % (726424)CaDiCaL version: 2.1.3
% 1.46/0.54 % (726424)Termination reason: Instruction limit
% 1.46/0.54 % (726424)Termination phase: Saturation
% 1.46/0.54 % (726424)Time elapsed: 0.008 s
% 1.46/0.54 % (726424)Peak memory usage: 12 MB
% 1.46/0.54 % (726424)Instructions burned: 15 (million)
% 1.46/0.54 % (726425)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=2783797199:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.46/0.54 % (726426)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=262559589:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.46/0.54 % (726425)Instruction limit reached!
% 1.46/0.54 % (726425)------------------------------
% 1.46/0.54 % (726425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54 % (726425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54 % (726425)CaDiCaL version: 2.1.3
% 1.46/0.54 % (726425)Termination reason: Instruction limit
% 1.46/0.54 % (726425)Termination phase: Saturation
% 1.46/0.54 % (726425)Time elapsed: 0.008 s
% 1.46/0.54 % (726425)Peak memory usage: 12 MB
% 1.46/0.54 % (726425)Instructions burned: 11 (million)
% 1.46/0.54 % (726421)Instruction limit reached!
% 1.46/0.54 % (726421)------------------------------
% 1.46/0.54 % (726421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54 % (726421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54 % (726429)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2667418367:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.46/0.54 % (726421)CaDiCaL version: 2.1.3
% 1.46/0.54 % (726421)Termination reason: Instruction limit
% 1.46/0.54 % (726421)Termination phase: Saturation
% 1.46/0.54 % (726421)Time elapsed: 0.032 s
% 1.46/0.54 % (726421)Peak memory usage: 12 MB
% 1.46/0.54 % (726421)Instructions burned: 60 (million)
% 1.46/0.54 % (726426)Instruction limit reached!
% 1.46/0.54 % (726426)------------------------------
% 1.46/0.54 % (726426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54 % (726426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54 % (726426)CaDiCaL version: 2.1.3
% 1.46/0.54 % (726426)Termination reason: Instruction limit
% 1.46/0.54 % (726426)Termination phase: Saturation
% 1.46/0.54 % (726426)Time elapsed: 0.017 s
% 1.46/0.54 % (726426)Peak memory usage: 12 MB
% 1.46/0.54 % (726426)Instructions burned: 32 (million)
% 1.46/0.54 % (726429)Instruction limit reached!
% 1.46/0.54 % (726429)------------------------------
% 1.46/0.54 % (726429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54 % (726429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54 % (726429)CaDiCaL version: 2.1.3
% 1.46/0.54 % (726429)Termination reason: Instruction limit
% 1.46/0.54 % (726429)Termination phase: Saturation
% 1.46/0.54 % (726429)Time elapsed: 0.005 s
% 1.46/0.54 % (726429)Peak memory usage: 12 MB
% 1.46/0.54 % (726429)Instructions burned: 8 (million)
% 1.46/0.54 % (726409)Instruction limit reached!
% 1.46/0.54 % (726409)------------------------------
% 1.46/0.54 % (726409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54 % (726409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.63 % (726409)CaDiCaL version: 2.1.3
% 2.15/0.63 % (726409)Termination reason: Instruction limit
% 2.15/0.63 % (726409)Termination phase: Saturation
% 2.15/0.63 % (726409)Time elapsed: 0.089 s
% 2.15/0.63 % (726409)Peak memory usage: 13 MB
% 2.15/0.63 % (726409)Instructions burned: 331 (million)
% 2.15/0.63 % (726432)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1653478580:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.15/0.63 % (726437)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2220304294:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 2.15/0.63 % (726434)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2164071163:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.15/0.63 % (726432)Instruction limit reached!
% 2.15/0.63 % (726432)------------------------------
% 2.15/0.63 % (726432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.63 % (726432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.63 % (726432)CaDiCaL version: 2.1.3
% 2.15/0.63 % (726432)Termination reason: Instruction limit
% 2.15/0.63 % (726432)Termination phase: Saturation
% 2.15/0.63 % (726432)Time elapsed: 0.011 s
% 2.15/0.63 % (726432)Peak memory usage: 12 MB
% 2.15/0.63 % (726432)Instructions burned: 25 (million)
% 2.15/0.63 % (726435)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=126304709:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.15/0.63 % (726436)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=238670089:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.15/0.63 % (726434)Instruction limit reached!
% 2.15/0.63 % (726434)------------------------------
% 2.15/0.63 % (726434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.63 % (726434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.63 % (726434)CaDiCaL version: 2.1.3
% 2.15/0.63 % (726434)Termination reason: Instruction limit
% 2.15/0.63 % (726434)Termination phase: Saturation
% 2.15/0.63 % (726434)Time elapsed: 0.012 s
% 2.15/0.63 % (726434)Peak memory usage: 12 MB
% 2.15/0.63 % (726434)Instructions burned: 20 (million)
% 2.15/0.63 % (726441)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2568875645:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.15/0.63 % (726444)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.15/0.63 % (726406)Instruction limit reached!
% 2.15/0.63 % (726406)------------------------------
% 2.15/0.63 % (726406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.63 % (726406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.63 % (726406)CaDiCaL version: 2.1.3
% 2.15/0.63 % (726406)Termination reason: Instruction limit
% 2.15/0.63 % (726406)Termination phase: Saturation
% 2.15/0.63 % (726406)Time elapsed: 0.126 s
% 2.15/0.63 % (726406)Peak memory usage: 13 MB
% 2.15/0.63 % (726406)Instructions burned: 250 (million)
% 2.15/0.63 % (726444)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2985505639:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.15/0.63 % (726444)Instruction limit reached!
% 2.15/0.63 % (726444)------------------------------
% 2.15/0.63 % (726444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.63 % (726444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.63 % (726444)CaDiCaL version: 2.1.3
% 2.15/0.63 % (726444)Termination reason: Instruction limit
% 2.15/0.63 % (726444)Termination phase: Saturation
% 2.15/0.63 % (726444)Time elapsed: 0.004 s
% 2.15/0.63 % (726444)Peak memory usage: 12 MB
% 2.15/0.63 % (726444)Instructions burned: 8 (million)
% 2.15/0.63 % (726441)Instruction limit reached!
% 2.15/0.63 % (726441)------------------------------
% 2.15/0.63 % (726441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.63 % (726441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.63 % (726441)CaDiCaL version: 2.1.3
% 2.15/0.63 % (726441)Termination reason: Instruction limit
% 2.15/0.63 % (726441)Termination phase: Saturation
% 2.54/0.68 % (726441)Time elapsed: 0.023 s
% 2.54/0.68 % (726441)Peak memory usage: 12 MB
% 2.54/0.68 % (726441)Instructions burned: 43 (million)
% 2.54/0.68 % (726378)Instruction limit reached!
% 2.54/0.68 % (726378)------------------------------
% 2.54/0.68 % (726378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68 % (726378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68 % (726378)CaDiCaL version: 2.1.3
% 2.54/0.68 % (726378)Termination reason: Instruction limit
% 2.54/0.68 % (726378)Termination phase: Saturation
% 2.54/0.68 % (726378)Time elapsed: 0.222 s
% 2.54/0.68 % (726378)Peak memory usage: 13 MB
% 2.54/0.68 % (726378)Instructions burned: 634 (million)
% 2.54/0.68 % (726446)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3339616779:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.54/0.68 % (726437)Instruction limit reached!
% 2.54/0.68 % (726437)------------------------------
% 2.54/0.68 % (726437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68 % (726437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68 % (726437)CaDiCaL version: 2.1.3
% 2.54/0.68 % (726437)Termination reason: Instruction limit
% 2.54/0.68 % (726437)Termination phase: Saturation
% 2.54/0.68 % (726437)Time elapsed: 0.054 s
% 2.54/0.68 % (726437)Peak memory usage: 13 MB
% 2.54/0.68 % (726437)Instructions burned: 196 (million)
% 2.54/0.68 % (726448)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=3586305337:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.54/0.68 % (726449)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.54/0.68 % (726453)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2371868500:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.54/0.68 % (726449)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2780832143:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.54/0.68 % (726451)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=640917710:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.54/0.68 % (726449)Instruction limit reached!
% 2.54/0.68 % (726449)------------------------------
% 2.54/0.68 % (726449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68 % (726449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68 % (726449)CaDiCaL version: 2.1.3
% 2.54/0.68 % (726449)Termination reason: Instruction limit
% 2.54/0.68 % (726449)Termination phase: Saturation
% 2.54/0.68 % (726449)Time elapsed: 0.007 s
% 2.54/0.68 % (726449)Peak memory usage: 12 MB
% 2.54/0.68 % (726449)Instructions burned: 13 (million)
% 2.54/0.68 % (726453)Instruction limit reached!
% 2.54/0.68 % (726453)------------------------------
% 2.54/0.68 % (726453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68 % (726453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68 % (726453)CaDiCaL version: 2.1.3
% 2.54/0.68 % (726453)Termination reason: Instruction limit
% 2.54/0.68 % (726453)Termination phase: Saturation
% 2.54/0.68 % (726453)Time elapsed: 0.008 s
% 2.54/0.68 % (726453)Peak memory usage: 12 MB
% 2.54/0.68 % (726453)Instructions burned: 28 (million)
% 2.54/0.68 % (726451)Instruction limit reached!
% 2.54/0.68 % (726451)------------------------------
% 2.54/0.68 % (726451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68 % (726451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68 % (726451)CaDiCaL version: 2.1.3
% 2.54/0.68 % (726451)Termination reason: Instruction limit
% 2.54/0.68 % (726451)Termination phase: Saturation
% 2.54/0.68 % (726451)Time elapsed: 0.011 s
% 2.54/0.68 % (726451)Peak memory usage: 12 MB
% 2.54/0.68 % (726451)Instructions burned: 22 (million)
% 2.54/0.68 % (726436)Instruction limit reached!
% 2.54/0.68 % (726436)------------------------------
% 2.54/0.68 % (726436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68 % (726436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68 % (726436)CaDiCaL version: 2.1.3
% 2.54/0.68 % (726436)Termination reason: Instruction limit
% 2.54/0.68 % (726436)Termination phase: Saturation
% 2.54/0.68 % (726436)Time elapsed: 0.073 s
% 2.54/0.68 % (726436)Peak memory usage: 13 MB
% 2.54/0.68 % (726436)Instructions burned: 143 (million)
% 2.54/0.68 % (726457)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=3661719253:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.54/0.68 % (726458)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=360451742:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.54/0.68 % (726459)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=2487267637:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.54/0.68 % (726460)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=545684033:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.54/0.68 % (726459)Instruction limit reached!
% 2.54/0.68 % (726459)------------------------------
% 2.54/0.68 % (726459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68 % (726459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68 % (726459)CaDiCaL version: 2.1.3
% 2.54/0.68 % (726459)Termination reason: Instruction limit
% 2.54/0.68 % (726459)Termination phase: Saturation
% 2.54/0.68 % (726459)Time elapsed: 0.025 s
% 2.54/0.68 % (726459)Peak memory usage: 12 MB
% 2.54/0.68 % (726459)Instructions burned: 47 (million)
% 2.54/0.68 % (726446)Instruction limit reached!
% 2.54/0.68 % (726446)------------------------------
% 2.54/0.68 % (726446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68 % (726446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68 % (726446)CaDiCaL version: 2.1.3
% 2.54/0.68 % (726446)Termination reason: Instruction limit
% 2.54/0.68 % (726446)Termination phase: Saturation
% 2.54/0.68 % (726446)Time elapsed: 0.090 s
% 2.54/0.68 % (726446)Peak memory usage: 13 MB
% 2.54/0.68 % (726446)Instructions burned: 182 (million)
% 2.54/0.68 % (726465)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3488988115: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)
% 2.54/0.68 % (726448)Instruction limit reached!
% 2.54/0.68 % (726448)------------------------------
% 2.54/0.68 % (726448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68 % (726448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68 % (726448)CaDiCaL version: 2.1.3
% 2.54/0.68 % (726448)Termination reason: Instruction limit
% 2.54/0.68 % (726448)Termination phase: Saturation
% 2.54/0.68 % (726448)Time elapsed: 0.086 s
% 2.54/0.68 % (726448)Peak memory usage: 13 MB
% 2.54/0.68 % (726448)Instructions burned: 170 (million)
% 2.54/0.68 % (726466)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.54/0.68 % (726465)Instruction limit reached!
% 2.54/0.68 % (726465)------------------------------
% 2.54/0.68 % (726465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68 % (726465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68 % (726465)CaDiCaL version: 2.1.3
% 2.54/0.68 % (726465)Termination reason: Instruction limit
% 2.54/0.68 % (726465)Termination phase: Saturation
% 2.54/0.68 % (726465)Time elapsed: 0.013 s
% 2.54/0.68 % (726465)Peak memory usage: 12 MB
% 2.54/0.68 % (726465)Instructions burned: 21 (million)
% 2.54/0.68 % (726466)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=928109535:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.54/0.68 % (726468)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3618850441:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.54/0.68 % (726457)Instruction limit reached!
% 2.54/0.68 % (726457)------------------------------
% 2.54/0.68 % (726457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68 % (726457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68 % (726457)CaDiCaL version: 2.1.3
% 2.54/0.68 % (726457)Termination reason: Instruction limit
% 2.54/0.68 % (726457)Termination phase: Saturation
% 2.54/0.68 % (726457)Time elapsed: 0.085 s
% 2.54/0.68 % (726457)Peak memory usage: 14 MB
% 2.54/0.68 % (726457)Instructions burned: 317 (million)
% 2.54/0.68 % (726468)Instruction limit reached!
% 2.54/0.68 % (726468)------------------------------
% 2.54/0.68 % (726468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68 % (726468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68 % (726468)CaDiCaL version: 2.1.3
% 2.54/0.68 % (726468)Termination reason: Instruction limit
% 2.54/0.68 % (726468)Termination phase: Saturation
% 2.54/0.68 % (726468)Time elapsed: 0.009 s
% 2.54/0.68 % (726468)Peak memory usage: 12 MB
% 2.54/0.68 % (726468)Instructions burned: 15 (million)
% 2.54/0.68 % (726469)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=203267377:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.54/0.68 % (726472)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=711364684:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.54/0.68 % (726473)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=325333504:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.54/0.68 % (726472)Instruction limit reached!
% 2.54/0.68 % (726472)------------------------------
% 2.54/0.68 % (726472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68 % (726472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68 % (726472)CaDiCaL version: 2.1.3
% 2.54/0.68 % (726472)Termination reason: Instruction limit
% 2.54/0.68 % (726472)Termination phase: Saturation
% 2.54/0.68 % (726472)Time elapsed: 0.015 s
% 2.54/0.68 % (726472)Peak memory usage: 12 MB
% 2.54/0.68 % (726472)Instructions burned: 52 (million)
% 2.54/0.68 % (726473)Instruction limit reached!
% 2.54/0.68 % (726473)------------------------------
% 2.54/0.68 % (726473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68 % (726473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68 % (726473)CaDiCaL version: 2.1.3
% 2.54/0.68 % (726473)Termination reason: Instruction limit
% 2.54/0.68 % (726473)Termination phase: Saturation
% 2.54/0.68 % (726473)Time elapsed: 0.016 s
% 2.54/0.68 % (726473)Peak memory usage: 12 MB
% 2.54/0.68 % (726473)Instructions burned: 31 (million)
% 2.54/0.68 % (726477)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2876988442:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 2.54/0.68 % (726469)Instruction limit reached!
% 2.54/0.68 % (726469)------------------------------
% 2.54/0.68 % (726469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68 % (726469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68 % (726469)CaDiCaL version: 2.1.3
% 2.54/0.68 % (726469)Termination reason: Instruction limit
% 2.54/0.68 % (726469)Termination phase: Saturation
% 2.54/0.68 % (726469)Time elapsed: 0.037 s
% 2.54/0.68 % (726469)Peak memory usage: 13 MB
% 2.54/0.68 % (726469)Instructions burned: 66 (million)
% 2.54/0.68 % (726466) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-726370-726466"...
% 2.54/0.68 % (726479)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=2471274472:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 2.54/0.68 % (726466)...printing done.
% 2.54/0.68 % (726466)Refutation found. Thanks to Tanya!
% 2.54/0.68 % SZS status Theorem for theBenchmark
% 2.54/0.68 % SZS output start Proof for theBenchmark
% 2.54/0.68 thf(type_def_5, type, iS: $tType).
% 2.54/0.68 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 2.54/0.68 thf(func_def_0, type, y: iS).
% 2.54/0.68 thf(func_def_1, type, x: iS).
% 2.54/0.68 thf(func_def_2, type, cP: (iS > iS > iS)).
% 2.54/0.68 thf(func_def_3, type, c0: iS).
% 2.54/0.68 thf(func_def_7, type, sK0: ((iS > $o) > iS)).
% 2.54/0.68 thf(func_def_8, type, sK1: ((iS > $o) > iS)).
% 2.54/0.68 thf(func_def_9, type, sK2: (iS > iS > iS > $o)).
% 2.54/0.68 thf(func_def_10, type, db0: !>[X0: $tType]:(X0)).
% 2.54/0.68 thf(func_def_11, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.54/0.68 thf(func_def_12, type, sK3: ((iS > iS) > (iS > iS) > (iS > iS) > iS)).
% 2.54/0.68 thf(func_def_13, type, sK4: ((iS > iS) > (iS > $o) > iS)).
% 2.54/0.68 thf(func_def_14, type, sK5: ((iS > iS) > iS)).
% 2.54/0.68 thf(func_def_15, type, db1: !>[X0: $tType]:(X0)).
% 2.54/0.68 thf(func_def_16, type, sK6: ((iS > iS) > iS)).
% 2.54/0.68 thf(f1,conjecture,(
% 2.54/0.68 (! [X4 : (iS > $o)] : ((! [X1 : iS,X0 : iS] : (((X4 @ X0) & (X4 @ X1)) => (X4 @ (cP @ X0 @ X1))) & (X4 @ c0)) => ! [X0 : iS] : (X4 @ X0)) & ! [X1 : iS,X0 : iS] : (((cP @ X0 @ X1)) != c0) & ! [X3 : iS,X1 : iS,X2 : iS,X0 : iS] : ((((cP @ X0 @ X2)) = ((cP @ X1 @ X3))) => ((X0 = X1) & (X2 = X3)))) => ! [X5 : (iS > iS > iS > $o)] : ((! [X6 : iS,X7 : iS,X8 : iS] : ((((X6 = X8) & (X7 = c0)) | ? [X9 : iS,X14 : iS,X10 : iS,X12 : iS,X13 : iS,X11 : iS] : ((X5 @ X9 @ X11 @ X13) & (X8 = ((cP @ X13 @ X14))) & (X6 = ((cP @ X9 @ X10))) & (X5 @ X10 @ X12 @ X14) & (X7 = ((cP @ X11 @ X12)))) | ((X6 = c0) & (X7 = X8))) => (X5 @ X6 @ X7 @ X8)) & $true) => (X5 @ (cP @ c0 @ y) @ (cP @ x @ y) @ (cP @ x @ y)))),
% 2.54/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cS_INCL_LEM5_pme)).
% 2.54/0.68 thf(f2,negated_conjecture,(
% 2.54/0.68 ~((! [X4 : (iS > $o)] : ((! [X1 : iS,X0 : iS] : (((X4 @ X0) & (X4 @ X1)) => (X4 @ (cP @ X0 @ X1))) & (X4 @ c0)) => ! [X0 : iS] : (X4 @ X0)) & ! [X1 : iS,X0 : iS] : (((cP @ X0 @ X1)) != c0) & ! [X3 : iS,X1 : iS,X2 : iS,X0 : iS] : ((((cP @ X0 @ X2)) = ((cP @ X1 @ X3))) => ((X0 = X1) & (X2 = X3)))) => ! [X5 : (iS > iS > iS > $o)] : ((! [X6 : iS,X7 : iS,X8 : iS] : ((((X6 = X8) & (X7 = c0)) | ? [X9 : iS,X14 : iS,X10 : iS,X12 : iS,X13 : iS,X11 : iS] : ((X5 @ X9 @ X11 @ X13) & (X8 = ((cP @ X13 @ X14))) & (X6 = ((cP @ X9 @ X10))) & (X5 @ X10 @ X12 @ X14) & (X7 = ((cP @ X11 @ X12)))) | ((X6 = c0) & (X7 = X8))) => (X5 @ X6 @ X7 @ X8)) & $true) => (X5 @ (cP @ c0 @ y) @ (cP @ x @ y) @ (cP @ x @ y))))),
% 2.54/0.68 inference(negated_conjecture,[status(cth)],[f1])).
% 2.54/0.68 thf(f3,plain,(
% 2.54/0.68 ~((! [X0 : (iS > $o)] : ((! [X1 : iS,X2 : iS] : (((X0 @ X2) & (X0 @ X1)) => (X0 @ (cP @ X2 @ X1))) & (X0 @ c0)) => ! [X3 : iS] : (X0 @ X3)) & ! [X4 : iS,X5 : iS] : (c0 != ((cP @ X5 @ X4))) & ! [X6 : iS,X7 : iS,X8 : iS,X9 : iS] : ((((cP @ X9 @ X8)) = ((cP @ X7 @ X6))) => ((X7 = X9) & (X6 = X8)))) => ! [X10 : (iS > iS > iS > $o)] : ((! [X11 : iS,X12 : iS,X13 : iS] : ((((X11 = X13) & (c0 = X12)) | ? [X14 : iS,X15 : iS,X16 : iS,X17 : iS,X18 : iS,X19 : iS] : ((X10 @ X14 @ X19 @ X18) & (((cP @ X18 @ X15)) = X13) & (((cP @ X14 @ X16)) = X11) & (X10 @ X16 @ X17 @ X15) & (((cP @ X19 @ X17)) = X12)) | ((c0 = X11) & (X12 = X13))) => (X10 @ X11 @ X12 @ X13)) & $true) => (X10 @ (cP @ c0 @ y) @ (cP @ x @ y) @ (cP @ x @ y))))),
% 2.54/0.68 inference(rectify,[],[f2])).
% 2.54/0.68 thf(f4,plain,(
% 2.54/0.68 ~((! [X8 : iS,X9 : iS,X6 : iS,X7 : iS] : ((((cP @ X9 @ X8)) = ((cP @ X7 @ X6))) => ((X7 = X9) & (X6 = X8))) & ! [X0 : (iS > $o)] : ((! [X2 : iS,X1 : iS] : ((($true = ((X0 @ X1))) & ($true = ((X0 @ X2)))) => (((X0 @ (cP @ X2 @ X1))) = $true)) & ($true = ((X0 @ c0)))) => ! [X3 : iS] : (((X0 @ X3)) = $true)) & ! [X5 : iS,X4 : iS] : (c0 != ((cP @ X5 @ X4)))) => ! [X10 : (iS > iS > iS > $o)] : ((! [X11 : iS,X12 : iS,X13 : iS] : ((((c0 = X11) & (X12 = X13)) | ? [X16 : iS,X19 : iS,X15 : iS,X17 : iS,X18 : iS,X14 : iS] : ((((cP @ X14 @ X16)) = X11) & (((cP @ X19 @ X17)) = X12) & ($true = ((X10 @ X16 @ X17 @ X15))) & (((cP @ X18 @ X15)) = X13) & (((X10 @ X14 @ X19 @ X18)) = $true)) | ((X11 = X13) & (c0 = X12))) => (((X10 @ X11 @ X12 @ X13)) = $true)) & $true) => (((X10 @ (cP @ c0 @ y) @ (cP @ x @ y) @ (cP @ x @ y))) = $true)))),
% 2.54/0.68 inference(fool_elimination,[],[f3])).
% 2.54/0.68 thf(f5,plain,(
% 2.54/0.68 ~((! [X8 : iS,X9 : iS,X6 : iS,X7 : iS] : ((((cP @ X9 @ X8)) = ((cP @ X7 @ X6))) => ((X7 = X9) & (X6 = X8))) & ! [X0 : (iS > $o)] : ((! [X2 : iS,X1 : iS] : ((($true = ((X0 @ X1))) & ($true = ((X0 @ X2)))) => (((X0 @ (cP @ X2 @ X1))) = $true)) & ($true = ((X0 @ c0)))) => ! [X3 : iS] : (((X0 @ X3)) = $true)) & ! [X5 : iS,X4 : iS] : (c0 != ((cP @ X5 @ X4)))) => ! [X10 : (iS > iS > iS > $o)] : (! [X11 : iS,X12 : iS,X13 : iS] : ((((c0 = X11) & (X12 = X13)) | ? [X16 : iS,X19 : iS,X15 : iS,X17 : iS,X18 : iS,X14 : iS] : ((((cP @ X14 @ X16)) = X11) & (((cP @ X19 @ X17)) = X12) & ($true = ((X10 @ X16 @ X17 @ X15))) & (((cP @ X18 @ X15)) = X13) & (((X10 @ X14 @ X19 @ X18)) = $true)) | ((X11 = X13) & (c0 = X12))) => (((X10 @ X11 @ X12 @ X13)) = $true)) => (((X10 @ (cP @ c0 @ y) @ (cP @ x @ y) @ (cP @ x @ y))) = $true)))),
% 2.54/0.68 inference(true_and_false_elimination,[],[f4])).
% 2.54/0.68 thf(f6,plain,(
% 2.54/0.68 ? [X10 : (iS > iS > iS > $o)] : ((((X10 @ (cP @ c0 @ y) @ (cP @ x @ y) @ (cP @ x @ y))) != $true) & ! [X12 : iS,X11 : iS,X13 : iS] : ((((c0 != X11) | (X12 != X13)) & ! [X18 : iS,X14 : iS,X17 : iS,X19 : iS,X15 : iS,X16 : iS] : ((((X10 @ X14 @ X19 @ X18)) != $true) | (((cP @ X19 @ X17)) != X12) | (((cP @ X14 @ X16)) != X11) | (((cP @ X18 @ X15)) != X13) | ($true != ((X10 @ X16 @ X17 @ X15)))) & ((c0 != X12) | (X11 != X13))) | (((X10 @ X11 @ X12 @ X13)) = $true))) & (! [X6 : iS,X9 : iS,X8 : iS,X7 : iS] : (((X7 = X9) & (X6 = X8)) | (((cP @ X9 @ X8)) != ((cP @ X7 @ X6)))) & ! [X0 : (iS > $o)] : (! [X3 : iS] : (((X0 @ X3)) = $true) | (? [X2 : iS,X1 : iS] : ((((X0 @ (cP @ X2 @ X1))) != $true) & (($true = ((X0 @ X1))) & ($true = ((X0 @ X2))))) | ($true != ((X0 @ c0))))) & ! [X5 : iS,X4 : iS] : (c0 != ((cP @ X5 @ X4))))),
% 2.54/0.68 inference(ennf_transformation,[],[f5])).
% 2.54/0.68 thf(f7,plain,(
% 2.54/0.68 ! [X5 : iS,X4 : iS] : (c0 != ((cP @ X5 @ X4))) & ! [X0 : (iS > $o)] : (! [X3 : iS] : (((X0 @ X3)) = $true) | ? [X2 : iS,X1 : iS] : (($true = ((X0 @ X2))) & (((X0 @ (cP @ X2 @ X1))) != $true) & ($true = ((X0 @ X1)))) | ($true != ((X0 @ c0)))) & ! [X6 : iS,X9 : iS,X8 : iS,X7 : iS] : (((X7 = X9) & (X6 = X8)) | (((cP @ X9 @ X8)) != ((cP @ X7 @ X6)))) & ? [X10 : (iS > iS > iS > $o)] : ((((X10 @ (cP @ c0 @ y) @ (cP @ x @ y) @ (cP @ x @ y))) != $true) & ! [X12 : iS,X11 : iS,X13 : iS] : ((((c0 != X11) | (X12 != X13)) & ! [X18 : iS,X14 : iS,X17 : iS,X19 : iS,X15 : iS,X16 : iS] : ((((X10 @ X14 @ X19 @ X18)) != $true) | (((cP @ X19 @ X17)) != X12) | (((cP @ X14 @ X16)) != X11) | (((cP @ X18 @ X15)) != X13) | ($true != ((X10 @ X16 @ X17 @ X15)))) & ((c0 != X12) | (X11 != X13))) | (((X10 @ X11 @ X12 @ X13)) = $true)))),
% 2.54/0.68 inference(flattening,[],[f6])).
% 2.54/0.68 thf(f8,plain,(
% 2.54/0.68 ! [X0 : iS,X1 : iS] : (((cP @ X0 @ X1)) != c0) & ! [X2 : (iS > $o)] : (! [X3 : iS] : ($true = ((X2 @ X3))) | ? [X4 : iS,X5 : iS] : ((((X2 @ X4)) = $true) & ($true != ((X2 @ (cP @ X4 @ X5)))) & (((X2 @ X5)) = $true)) | (((X2 @ c0)) != $true)) & ! [X6 : iS,X7 : iS,X8 : iS,X9 : iS] : (((X7 = X9) & (X6 = X8)) | (((cP @ X7 @ X8)) != ((cP @ X9 @ X6)))) & ? [X10 : (iS > iS > iS > $o)] : ((((X10 @ (cP @ c0 @ y) @ (cP @ x @ y) @ (cP @ x @ y))) != $true) & ! [X11 : iS,X12 : iS,X13 : iS] : ((((c0 != X12) | (X11 != X13)) & ! [X14 : iS,X15 : iS,X16 : iS,X17 : iS,X18 : iS,X19 : iS] : ((((X10 @ X15 @ X17 @ X14)) != $true) | (((cP @ X17 @ X16)) != X11) | (((cP @ X15 @ X19)) != X12) | (((cP @ X14 @ X18)) != X13) | ($true != ((X10 @ X19 @ X16 @ X18)))) & ((c0 != X11) | (X12 != X13))) | ($true = ((X10 @ X12 @ X11 @ X13)))))),
% 2.54/0.68 inference(rectify,[],[f7])).
% 2.54/0.68 thf(f9,plain,(
% 2.54/0.68 ! [X0 : iS,X1 : iS] : (((cP @ X0 @ X1)) != c0) & ! [X2 : (iS > $o)] : (! [X3 : iS] : ($true = ((X2 @ X3))) | ((((X2 @ (sK0 @ X2))) = $true) & (((X2 @ (cP @ (sK0 @ X2) @ (sK1 @ X2)))) != $true) & ($true = ((X2 @ (sK1 @ X2))))) | (((X2 @ c0)) != $true)) & ! [X6 : iS,X7 : iS,X8 : iS,X9 : iS] : (((X7 = X9) & (X6 = X8)) | (((cP @ X7 @ X8)) != ((cP @ X9 @ X6)))) & ((((sK2 @ (cP @ c0 @ y) @ (cP @ x @ y) @ (cP @ x @ y))) != $true) & ! [X11 : iS,X12 : iS,X13 : iS] : ((((c0 != X12) | (X11 != X13)) & ! [X14 : iS,X15 : iS,X16 : iS,X17 : iS,X18 : iS,X19 : iS] : ((((sK2 @ X15 @ X17 @ X14)) != $true) | (((cP @ X17 @ X16)) != X11) | (((cP @ X15 @ X19)) != X12) | (((cP @ X14 @ X18)) != X13) | (((sK2 @ X19 @ X16 @ X18)) != $true)) & ((c0 != X11) | (X12 != X13))) | ($true = ((sK2 @ X12 @ X11 @ X13)))))),
% 2.54/0.68 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,sK2]),skolemize(X5,sK1 @ X2),skolemize(X5,sK1 @ X2),skolemize(X10,sK2)],[f8])).
% 2.54/0.68 thf(f11,plain,(
% 2.54/0.68 ( ! [X11 : iS,X18 : iS,X19 : iS,X16 : iS,X14 : iS,X17 : iS,X15 : iS,X12 : iS,X13 : iS] : ((((sK2 @ X15 @ X17 @ X14)) != $true) | (((cP @ X17 @ X16)) != X11) | (((cP @ X15 @ X19)) != X12) | (((cP @ X14 @ X18)) != X13) | (((sK2 @ X19 @ X16 @ X18)) != $true) | ($true = ((sK2 @ X12 @ X11 @ X13)))) )),
% 2.54/0.68 inference(cnf_transformation,[],[f9])).
% 2.54/0.68 thf(f12,plain,(
% 2.54/0.68 ( ! [X11 : iS,X12 : iS,X13 : iS] : ((c0 != X12) | (X11 != X13) | ($true = ((sK2 @ X12 @ X11 @ X13)))) )),
% 2.54/0.68 inference(cnf_transformation,[],[f9])).
% 2.54/0.68 thf(f13,plain,(
% 2.54/0.68 (((sK2 @ (cP @ c0 @ y) @ (cP @ x @ y) @ (cP @ x @ y))) != $true)),
% 2.54/0.68 inference(cnf_transformation,[],[f9])).
% 2.54/0.68 thf(f16,plain,(
% 2.54/0.68 ( ! [X2 : (iS > $o),X3 : iS] : (($true = ((X2 @ (sK1 @ X2)))) | ($true = ((X2 @ X3))) | (((X2 @ c0)) != $true)) )),
% 2.54/0.68 inference(cnf_transformation,[],[f9])).
% 2.54/0.68 thf(f17,plain,(
% 2.54/0.68 ( ! [X2 : (iS > $o),X3 : iS] : ((((X2 @ (cP @ (sK0 @ X2) @ (sK1 @ X2)))) != $true) | (((X2 @ c0)) != $true) | ($true = ((X2 @ X3)))) )),
% 2.54/0.68 inference(cnf_transformation,[],[f9])).
% 2.54/0.68 thf(f18,plain,(
% 2.54/0.68 ( ! [X2 : (iS > $o),X3 : iS] : ((((X2 @ (sK0 @ X2))) = $true) | ($true = ((X2 @ X3))) | (((X2 @ c0)) != $true)) )),
% 2.54/0.68 inference(cnf_transformation,[],[f9])).
% 2.54/0.68 thf(f22,plain,(
% 2.54/0.68 ( ! [X11 : iS,X13 : iS] : ((X11 != X13) | ($true = ((sK2 @ c0 @ X11 @ X13)))) )),
% 2.54/0.68 inference(equality_resolution,[],[f12])).
% 2.54/0.68 thf(f23,plain,(
% 2.54/0.68 ( ! [X13 : iS] : (($true = ((sK2 @ c0 @ X13 @ X13)))) )),
% 2.54/0.68 inference(equality_resolution,[],[f22])).
% 2.54/0.68 thf(f24,plain,(
% 2.54/0.68 ( ! [X18 : iS,X19 : iS,X16 : iS,X14 : iS,X17 : iS,X15 : iS,X12 : iS,X13 : iS] : ((((sK2 @ X15 @ X17 @ X14)) != $true) | (((cP @ X15 @ X19)) != X12) | (((cP @ X14 @ X18)) != X13) | (((sK2 @ X19 @ X16 @ X18)) != $true) | (((sK2 @ X12 @ (cP @ X17 @ X16) @ X13)) = $true)) )),
% 2.54/0.68 inference(equality_resolution,[],[f11])).
% 2.54/0.68 thf(f25,plain,(
% 2.54/0.68 ( ! [X18 : iS,X19 : iS,X16 : iS,X14 : iS,X17 : iS,X15 : iS,X13 : iS] : ((((sK2 @ X15 @ X17 @ X14)) != $true) | (((cP @ X14 @ X18)) != X13) | (((sK2 @ X19 @ X16 @ X18)) != $true) | ($true = ((sK2 @ (cP @ X15 @ X19) @ (cP @ X17 @ X16) @ X13)))) )),
% 2.54/0.68 inference(equality_resolution,[],[f24])).
% 2.54/0.68 thf(f26,plain,(
% 2.54/0.68 ( ! [X18 : iS,X19 : iS,X16 : iS,X14 : iS,X17 : iS,X15 : iS] : (($true = ((sK2 @ (cP @ X15 @ X19) @ (cP @ X17 @ X16) @ (cP @ X14 @ X18)))) | (((sK2 @ X19 @ X16 @ X18)) != $true) | (((sK2 @ X15 @ X17 @ X14)) != $true)) )),
% 2.54/0.68 inference(equality_resolution,[],[f25])).
% 2.54/0.68 thf(f67,plain,(
% 2.54/0.68 (((sK2 @ c0 @ x @ x)) != $true) | ($true != $true) | (((sK2 @ y @ y @ y)) != $true)),
% 2.54/0.68 inference(constrained_superposition,[],[f13,f26])).
% 2.54/0.68 thf(f68,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : (iS > iS),X1 : (iS > iS),X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : (($true != ((sK2 @ X3 @ X5 @ X7))) | (((X0 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))))) != ((cP @ X2 @ X3))) | (((X1 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))))) != ((cP @ X4 @ X5))) | ((((^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ X8)) = $true) | ($true != ((sK2 @ X2 @ X4 @ X6))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))) != X6) | ($true != $true) | (((sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))) != X7) | ((((^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ c0)) != $true)) )),
% 2.54/0.68 inference(constrained_superposition,[],[f17,f26])).
% 2.54/0.68 thf(f70,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : (iS > iS),X1 : (iS > iS),X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : ((((X0 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))))) != ((cP @ X2 @ X3))) | ($true != ((sK2 @ X2 @ X4 @ X6))) | (((sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))) != X7) | ((((^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ X8)) = $true) | ((((^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ c0)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))) != X6) | ($true != ((sK2 @ X3 @ X5 @ X7))) | (((X1 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))))) != ((cP @ X4 @ X5)))) )),
% 2.54/0.68 inference(trivial_inequality_removal,[],[f68])).
% 2.54/0.68 thf(f71,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : (iS > iS),X1 : (iS > iS),X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : ((((X1 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))))) != ((cP @ X4 @ X5))) | (((sK2 @ (X0 @ c0) @ (X1 @ c0) @ c0)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))) != X6) | ($true != ((sK2 @ X2 @ X4 @ X6))) | (((sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))) != X7) | ($true = ((sK2 @ (X0 @ X8) @ (X1 @ X8) @ X8))) | ($true != ((sK2 @ X3 @ X5 @ X7))) | (((X0 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))))) != ((cP @ X2 @ X3)))) )),
% 2.54/0.68 inference(beta-eta_normalization,[],[f70])).
% 2.54/0.68 thf(f72,plain,(
% 2.54/0.68 (((sK2 @ y @ y @ y)) != $true) | (((sK2 @ c0 @ x @ x)) != $true)),
% 2.54/0.68 inference(trivial_inequality_removal,[],[f67])).
% 2.54/0.68 thf(f75,plain,(
% 2.54/0.68 (((sK2 @ y @ y @ y)) != $true) | ($true != $true)),
% 2.54/0.68 inference(forward_demodulation,[],[f72,f23])).
% 2.54/0.68 thf(f76,plain,(
% 2.54/0.68 (((sK2 @ y @ y @ y)) != $true)),
% 2.54/0.68 inference(trivial_inequality_removal,[],[f75])).
% 2.54/0.68 thf(f255,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : (iS > iS),X1 : iS,X6 : iS,X7 : (iS > $o),X4 : iS,X5 : iS] : ((((sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0)))) != X4) | ((^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ Y0 @ Y0)) != X7) | (((sK2 @ (X0 @ X5) @ ((^[Y0 : iS]: (Y0)) @ X5) @ X5)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ Y0 @ Y0)))) != X3) | ($true != ((sK2 @ X2 @ X3 @ X1))) | (((sK2 @ X6 @ (sK1 @ X7) @ X4)) != $true) | (((cP @ X2 @ X6)) != ((X0 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0))))))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0)))) != X1) | ($true != ((sK2 @ (X0 @ c0) @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0)))) )),
% 2.54/0.68 inference(equality_resolution,[],[f71])).
% 2.54/0.68 thf(f257,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : (iS > iS),X1 : iS,X6 : iS,X7 : (iS > $o),X4 : iS,X5 : iS] : ((((X0 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ Y0 @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ Y0 @ Y0)))))) != ((cP @ X2 @ X6))) | ($true = ((sK2 @ (X0 @ X5) @ X5 @ X5))) | (((sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ Y0 @ Y0)))) != X4) | (((sK2 @ (X0 @ c0) @ c0 @ c0)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ Y0 @ Y0)))) != X1) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ Y0 @ Y0)))) != X3) | ((^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ Y0 @ Y0)) != X7) | ($true != ((sK2 @ X2 @ X3 @ X1))) | (((sK2 @ X6 @ (sK1 @ X7) @ X4)) != $true)) )),
% 2.54/0.68 inference(beta-eta_normalization,[],[f255])).
% 2.54/0.68 thf(f259,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : iS,X6 : (iS > $o),X4 : (iS > $o),X5 : iS] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | ($true != ((sK2 @ X5 @ X3 @ X2))) | (((sK1 @ (^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ Y0)))) != X1) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X6) | ($true = ((sK2 @ ((^[Y0 : iS]: (Y0)) @ X0) @ X0 @ X0))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ Y0)))) != X2) | (((sK0 @ (^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ Y0)))) != X3) | ($true != ((sK2 @ (sK1 @ X6) @ (sK1 @ X4) @ X1))) | ($true != ((sK2 @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0 @ c0))) | ((^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ Y0)) != X4)) )),
% 2.54/0.68 inference(equality_resolution,[],[f257])).
% 2.54/0.68 thf(f262,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : iS,X6 : (iS > $o),X4 : (iS > $o),X5 : iS] : (((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X6) | ($true != ((sK2 @ X5 @ X3 @ X2))) | ($true != ((sK2 @ (sK1 @ X6) @ (sK1 @ X4) @ X1))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X4) | (((sK2 @ c0 @ c0 @ c0)) != $true) | ($true = ((sK2 @ X0 @ X0 @ X0))) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1)) )),
% 2.54/0.68 inference(beta-eta_normalization,[],[f259])).
% 2.54/0.68 thf(f263,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : iS,X6 : (iS > $o),X4 : (iS > $o),X5 : iS] : ((((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X6) | ($true != $true) | ($true != ((sK2 @ X5 @ X3 @ X2))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X4) | ($true = ((sK2 @ X0 @ X0 @ X0))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | ($true != ((sK2 @ (sK1 @ X6) @ (sK1 @ X4) @ X1))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3)) )),
% 2.54/0.68 inference(forward_demodulation,[],[f262,f23])).
% 2.54/0.68 thf(f264,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : iS,X6 : (iS > $o),X4 : (iS > $o),X5 : iS] : (($true != ((sK2 @ (sK1 @ X6) @ (sK1 @ X4) @ X1))) | ($true = ((sK2 @ X0 @ X0 @ X0))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X6) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X4) | ($true != ((sK2 @ X5 @ X3 @ X2))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5)) )),
% 2.54/0.68 inference(trivial_inequality_removal,[],[f263])).
% 2.54/0.68 thf(f265,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : (iS > iS),X0 : (iS > $o),X1 : (iS > $o),X8 : iS,X6 : iS,X9 : iS,X7 : iS,X4 : (iS > iS),X5 : iS] : (((^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ Y0 @ (X4 @ Y0))) != X1) | ((((^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X4 @ Y0))) @ c0)) != $true) | ($true = (((^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X4 @ Y0))) @ X9))) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((X4 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ Y0 @ (X4 @ Y0)))))) != X2) | ($true = ((sK2 @ X5 @ X5 @ X5))) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X1) | ($true != $true) | (((sK2 @ X8 @ X6 @ X7)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X8) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X0) | (((X3 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ Y0 @ (X4 @ Y0)))))) != ((sK1 @ X0))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X7)) )),
% 2.54/0.68 inference(constrained_superposition,[],[f264,f16])).
% 2.54/0.68 thf(f274,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : (iS > iS),X0 : (iS > $o),X1 : (iS > $o),X8 : iS,X6 : iS,X9 : iS,X7 : iS,X4 : (iS > iS),X5 : iS] : (((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X1) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | ((((^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X4 @ Y0))) @ c0)) != $true) | ($true = ((sK2 @ X5 @ X5 @ X5))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X8) | ((^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ Y0 @ (X4 @ Y0))) != X1) | (((X4 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ Y0 @ (X4 @ Y0)))))) != X2) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X0) | (((X3 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ Y0 @ (X4 @ Y0)))))) != ((sK1 @ X0))) | ($true = (((^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X4 @ Y0))) @ X9))) | (((sK2 @ X8 @ X6 @ X7)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X7)) )),
% 2.54/0.68 inference(trivial_inequality_removal,[],[f265])).
% 2.54/0.68 thf(f275,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : (iS > iS),X0 : (iS > $o),X1 : (iS > $o),X8 : iS,X6 : iS,X9 : iS,X7 : iS,X4 : (iS > iS),X5 : iS] : ((((X3 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ Y0 @ (X4 @ Y0)))))) != ((sK1 @ X0))) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK2 @ X8 @ X6 @ X7)) != $true) | ($true = ((sK2 @ X5 @ X5 @ X5))) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X0) | ($true = ((sK2 @ (X3 @ X9) @ X9 @ (X4 @ X9)))) | ((^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ Y0 @ (X4 @ Y0))) != X1) | (((sK2 @ (X3 @ c0) @ c0 @ (X4 @ c0))) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X7) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X1) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X8) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6) | (((X4 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ Y0 @ (X4 @ Y0)))))) != X2)) )),
% 2.54/0.68 inference(beta-eta_normalization,[],[f274])).
% 2.54/0.68 thf(f284,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X10 : (iS > $o),X0 : iS,X1 : iS,X8 : iS,X6 : (iS > iS),X9 : (iS > iS),X7 : (iS > iS),X4 : iS,X5 : (iS > iS)] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | (((X9 @ (sK1 @ (^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ (X9 @ Y0)))))) != X0) | ((^[Y0 : iS]: (sK2 @ (X5 @ Y0) @ (X6 @ Y0) @ (X7 @ Y0))) != (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0 @ (X9 @ c0))) != $true) | ((^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ (X9 @ Y0))) != X10) | (X7 != X9) | (((sK2 @ X4 @ X4 @ X4)) = $true) | ($true != ((sK2 @ X1 @ X2 @ X3))) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ X8) @ X8 @ (X9 @ X8))) = $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X10) | ((^[Y0 : iS]: (Y0)) != X5) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | ((^[Y0 : iS]: (Y0)) != X6)) )),
% 2.54/0.68 inference(equality_resolution,[],[f275])).
% 2.54/0.68 thf(f286,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X10 : (iS > $o),X0 : iS,X1 : iS,X8 : iS,X6 : (iS > iS),X9 : (iS > iS),X7 : (iS > iS),X4 : iS,X5 : (iS > iS)] : (((^[Y0 : iS]: (sK2 @ (X5 @ Y0) @ (X6 @ Y0) @ (X7 @ Y0))) != (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | ($true != ((sK2 @ X1 @ X2 @ X3))) | ((^[Y0 : iS]: (Y0)) != X5) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ (X9 @ Y0))) != X10) | (((sK2 @ X4 @ X4 @ X4)) = $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X10) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ($true != ((sK2 @ c0 @ c0 @ (X9 @ c0)))) | ($true = ((sK2 @ X8 @ X8 @ (X9 @ X8)))) | ((^[Y0 : iS]: (Y0)) != X6) | (((X9 @ (sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ (X9 @ Y0)))))) != X0) | (X7 != X9)) )),
% 2.54/0.68 inference(beta-eta_normalization,[],[f284])).
% 2.54/0.68 thf(f289,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X8 : (iS > iS),X6 : iS,X7 : iS,X4 : (iS > $o),X5 : iS] : (((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK2 @ X7 @ X7 @ (X3 @ X7))) = $true) | (((sK2 @ X1 @ X0 @ X2)) != $true) | (((X3 @ (sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ (X3 @ Y0)))))) != X6) | ($true != ((sK2 @ c0 @ c0 @ (X3 @ c0)))) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ (X3 @ Y0))) != X4) | ($true = ((sK2 @ X5 @ X5 @ X5))) | ((^[Y0 : iS]: (Y0)) != X8) | ((^[Y0 : iS]: (Y0)) != X3) | ((^[Y0 : iS]: (Y0)) != X8) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X4) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0)) )),
% 2.54/0.68 inference(equality_resolution,[],[f286])).
% 2.54/0.68 thf(f290,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X8 : (iS > iS),X6 : iS,X7 : iS,X4 : (iS > $o),X5 : iS] : ((((sK2 @ X1 @ X0 @ X2)) != $true) | ($true != ((sK2 @ c0 @ c0 @ (X3 @ c0)))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | ($true = ((sK2 @ X5 @ X5 @ X5))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ (X3 @ Y0))) != X4) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6) | (((sK2 @ X7 @ X7 @ (X3 @ X7))) = $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X4) | ((^[Y0 : iS]: (Y0)) != X8) | (((X3 @ (sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ (X3 @ Y0)))))) != X6) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | ((^[Y0 : iS]: (Y0)) != X3)) )),
% 2.54/0.68 inference(duplicate_literal_removal,[],[f289])).
% 2.54/0.68 thf(f291,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X8 : (iS > iS),X6 : iS,X7 : iS,X4 : (iS > $o),X5 : iS] : (((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ (X3 @ Y0))) != X4) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | ((^[Y0 : iS]: (Y0)) != X8) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6) | ($true != ((sK2 @ c0 @ c0 @ (X3 @ c0)))) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X4) | (((sK2 @ X1 @ X0 @ X2)) != $true) | ($true = ((sK2 @ X5 @ X5 @ X5))) | (((sK2 @ X7 @ X7 @ (X3 @ X7))) = $true) | (((X3 @ (sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ (X3 @ Y0)))))) != X6)) )),
% 2.54/0.68 inference(trivial_inequality_removal,[],[f290])).
% 2.54/0.68 thf(f312,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : (iS > iS),X6 : iS,X7 : iS,X4 : iS,X5 : iS] : (((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ (X3 @ Y0))) != (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | ($true != ((sK2 @ c0 @ c0 @ (X3 @ c0)))) | (((sK2 @ X7 @ X7 @ (X3 @ X7))) = $true) | (((sK2 @ X2 @ X4 @ X0)) != $true) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | ((^[Y0 : iS]: (Y0)) != X1) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | ($true = ((sK2 @ X6 @ X6 @ X6))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (((X3 @ (sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ (X3 @ Y0)))))) != X5)) )),
% 2.54/0.68 inference(equality_resolution,[],[f291])).
% 2.54/0.68 thf(f318,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : iS,X6 : iS,X4 : iS,X5 : (iS > iS)] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | ((^[Y0 : iS]: (Y0)) != X5) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK2 @ X1 @ X1 @ ((^[Y0 : iS]: (Y0)) @ X1))) = $true) | ($true != ((sK2 @ c0 @ c0 @ ((^[Y0 : iS]: (Y0)) @ c0)))) | ((((^[Y0 : iS]: (Y0)) @ (sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ ((^[Y1 : iS]: (Y1)) @ Y0)))))) != X4) | ($true = ((sK2 @ X6 @ X6 @ X6))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | ($true != ((sK2 @ X2 @ X0 @ X3)))) )),
% 2.54/0.68 inference(equality_resolution,[],[f312])).
% 2.54/0.68 thf(f323,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : iS,X6 : iS,X4 : iS,X5 : (iS > iS)] : (((((^[Y0 : iS]: (Y0)) @ (sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ ((^[Y1 : iS]: (Y1)) @ Y0)))))) != X4) | ($true != ((sK2 @ X2 @ X0 @ X3))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ($true = ((sK2 @ X6 @ X6 @ X6))) | ((^[Y0 : iS]: (Y0)) != X5) | (((sK2 @ X1 @ X1 @ ((^[Y0 : iS]: (Y0)) @ X1))) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | ($true != ((sK2 @ c0 @ c0 @ ((^[Y0 : iS]: (Y0)) @ c0)))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4)) )),
% 2.54/0.68 inference(trivial_inequality_removal,[],[f318])).
% 2.54/0.68 thf(f324,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : iS,X6 : iS,X4 : iS,X5 : (iS > iS)] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | ($true = ((sK2 @ X6 @ X6 @ X6))) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | ($true = ((sK2 @ X1 @ X1 @ X1))) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | ((^[Y0 : iS]: (Y0)) != X5) | (((sK2 @ c0 @ c0 @ c0)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ($true != ((sK2 @ X2 @ X0 @ X3)))) )),
% 2.54/0.68 inference(beta-eta_normalization,[],[f323])).
% 2.54/0.68 thf(f325,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : iS,X6 : iS,X4 : iS,X5 : (iS > iS)] : (($true = ((sK2 @ X1 @ X1 @ X1))) | ($true = ((sK2 @ X6 @ X6 @ X6))) | ($true != ((sK2 @ X2 @ X0 @ X3))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | ((^[Y0 : iS]: (Y0)) != X5) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (((sK2 @ c0 @ c0 @ c0)) != $true)) )),
% 2.54/0.68 inference(duplicate_literal_removal,[],[f324])).
% 2.54/0.68 thf(f326,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : iS,X6 : iS,X4 : iS,X5 : (iS > iS)] : (($true != ((sK2 @ X2 @ X0 @ X3))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ($true = ((sK2 @ X6 @ X6 @ X6))) | ($true != $true) | ($true = ((sK2 @ X1 @ X1 @ X1))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | ((^[Y0 : iS]: (Y0)) != X5) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4)) )),
% 2.54/0.68 inference(forward_demodulation,[],[f325,f23])).
% 2.54/0.68 thf(f327,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : iS,X6 : iS,X4 : iS,X5 : (iS > iS)] : ((((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | ((^[Y0 : iS]: (Y0)) != X5) | ($true = ((sK2 @ X1 @ X1 @ X1))) | ($true = ((sK2 @ X6 @ X6 @ X6))) | ($true != ((sK2 @ X2 @ X0 @ X3))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2)) )),
% 2.54/0.68 inference(trivial_inequality_removal,[],[f326])).
% 2.54/0.68 thf(f328,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : (iS > iS),X1 : iS,X4 : iS,X5 : iS] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | ($true != ((sK2 @ X3 @ X4 @ X5))) | ($true = ((sK2 @ X2 @ X2 @ X2))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | ((^[Y0 : iS]: (Y0)) != X0) | ($true = ((sK2 @ X1 @ X1 @ X1)))) )),
% 2.54/0.68 inference(equality_resolution,[],[f327])).
% 2.54/0.68 thf(f344,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X4 : iS] : ((((sK2 @ X0 @ X1 @ (sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0))))) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | ($true = ((sK2 @ X2 @ X2 @ X2))) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK2 @ X4 @ X4 @ X4)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0)) )),
% 2.54/0.68 inference(equality_resolution,[],[f328])).
% 2.54/0.68 thf(f356,plain,(
% 2.54/0.68 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : iS,X1 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : (iS > iS)] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ($true != $true) | ($true = (((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ X7))) | ($true = ((sK2 @ X6 @ X6 @ X6))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | ($true != (((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ c0))) | (((sK2 @ X4 @ X4 @ X4)) = $true) | (((X2 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != X0) | ((^[Y0 : iS]: (Y0)) != X3) | ((^[Y0 : iS]: (Y0)) != X5) | (((X3 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != X1) | ((^[Y0 : iS]: (Y0)) != X2)) )),
% 2.54/0.68 inference(constrained_superposition,[],[f344,f18])).
% 2.54/0.68 thf(f378,plain,(
% 2.54/0.68 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : iS,X1 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : (iS > iS)] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ((^[Y0 : iS]: (Y0)) != X2) | ($true = ((sK2 @ X6 @ X6 @ X6))) | ($true = (((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ X7))) | (((X2 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != X0) | ((^[Y0 : iS]: (Y0)) != X5) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | (((X3 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != X1) | ((^[Y0 : iS]: (Y0)) != X3) | ($true != (((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ c0))) | (((sK2 @ X4 @ X4 @ X4)) = $true)) )),
% 2.54/0.68 inference(trivial_inequality_removal,[],[f356])).
% 2.54/0.68 thf(f379,plain,(
% 2.54/0.68 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : iS,X1 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : (iS > iS)] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | (((sK2 @ (X2 @ c0) @ (X3 @ c0) @ c0)) != $true) | ((^[Y0 : iS]: (Y0)) != X5) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ($true = ((sK2 @ X6 @ X6 @ X6))) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK2 @ X4 @ X4 @ X4)) = $true) | ((^[Y0 : iS]: (Y0)) != X2) | ($true = ((sK2 @ (X2 @ X7) @ (X3 @ X7) @ X7))) | (((X2 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != X0) | (((X3 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != X1)) )),
% 2.54/0.68 inference(beta-eta_normalization,[],[f378])).
% 2.54/0.68 thf(f388,plain,(
% 2.54/0.68 ( ! [X2 : (iS > iS),X3 : iS,X0 : (iS > iS),X1 : (iS > iS),X6 : iS,X4 : iS,X5 : iS] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != ((X1 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | ((^[Y0 : iS]: (Y0)) != X2) | ((^[Y0 : iS]: (Y0)) != X1) | ($true = ((sK2 @ (X0 @ X6) @ (X1 @ X6) @ X6))) | (((sK2 @ X4 @ X4 @ X4)) = $true) | (((sK2 @ (X0 @ c0) @ (X1 @ c0) @ c0)) != $true) | ((^[Y0 : iS]: (Y0)) != X0) | ($true = ((sK2 @ X5 @ X5 @ X5))) | (((X0 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))))) != X3)) )),
% 2.54/0.68 inference(equality_resolution,[],[f379])).
% 2.54/0.68 thf(f389,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : iS] : (($true != ((sK2 @ ((^[Y0 : iS]: (Y0)) @ c0) @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0))) | ((^[Y0 : iS]: (Y0)) != X1) | ((((^[Y0 : iS]: (Y0)) @ (sK0 @ (^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0))))) != X0) | ($true = ((sK2 @ X3 @ X3 @ X3))) | ($true = ((sK2 @ ((^[Y0 : iS]: (Y0)) @ X2) @ ((^[Y0 : iS]: (Y0)) @ X2) @ X2))) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | (((sK2 @ X4 @ X4 @ X4)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0)) )),
% 2.54/0.68 inference(equality_resolution,[],[f388])).
% 2.54/0.68 thf(f392,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : iS] : (($true = ((sK2 @ X3 @ X3 @ X3))) | ($true = ((sK2 @ ((^[Y0 : iS]: (Y0)) @ X2) @ ((^[Y0 : iS]: (Y0)) @ X2) @ X2))) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | (((sK2 @ X4 @ X4 @ X4)) = $true) | ((^[Y0 : iS]: (Y0)) != X1) | ((((^[Y0 : iS]: (Y0)) @ (sK0 @ (^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0))))) != X0) | ($true != ((sK2 @ ((^[Y0 : iS]: (Y0)) @ c0) @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0)) )),
% 2.54/0.68 inference(duplicate_literal_removal,[],[f389])).
% 2.54/0.68 thf(f393,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : iS] : (((((^[Y0 : iS]: (Y0)) @ (sK0 @ (^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0))))) != X0) | ($true = ((sK2 @ X3 @ X3 @ X3))) | ((^[Y0 : iS]: (Y0)) != X1) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ($true = ((sK2 @ ((^[Y0 : iS]: (Y0)) @ X2) @ ((^[Y0 : iS]: (Y0)) @ X2) @ X2))) | ($true != ((sK2 @ ((^[Y0 : iS]: (Y0)) @ c0) @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0))) | (((sK2 @ X4 @ X4 @ X4)) = $true)) )),
% 2.54/0.68 inference(trivial_inequality_removal,[],[f392])).
% 2.54/0.68 thf(f394,plain,(
% 2.54/0.68 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : iS] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ((^[Y0 : iS]: (Y0)) != X1) | ($true = ((sK2 @ X3 @ X3 @ X3))) | ($true = ((sK2 @ X2 @ X2 @ X2))) | (((sK2 @ c0 @ c0 @ c0)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (((sK2 @ X4 @ X4 @ X4)) = $true)) )),
% 2.54/0.69 inference(beta-eta_normalization,[],[f393])).
% 2.54/0.69 thf(f395,plain,(
% 2.54/0.69 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : iS] : (((^[Y0 : iS]: (Y0)) != X1) | ($true = ((sK2 @ X3 @ X3 @ X3))) | ($true = ((sK2 @ X2 @ X2 @ X2))) | (((sK2 @ c0 @ c0 @ c0)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (((sK2 @ X4 @ X4 @ X4)) = $true)) )),
% 2.54/0.69 inference(duplicate_literal_removal,[],[f394])).
% 2.54/0.69 thf(f396,plain,(
% 2.54/0.69 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : iS] : (($true = ((sK2 @ X2 @ X2 @ X2))) | ($true != $true) | ($true = ((sK2 @ X3 @ X3 @ X3))) | (((sK2 @ X4 @ X4 @ X4)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ((^[Y0 : iS]: (Y0)) != X1)) )),
% 2.54/0.69 inference(forward_demodulation,[],[f395,f23])).
% 2.54/0.69 thf(f397,plain,(
% 2.54/0.69 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : iS] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ((^[Y0 : iS]: (Y0)) != X1) | ($true = ((sK2 @ X2 @ X2 @ X2))) | ($true = ((sK2 @ X3 @ X3 @ X3))) | (((sK2 @ X4 @ X4 @ X4)) = $true)) )),
% 2.54/0.69 inference(trivial_inequality_removal,[],[f396])).
% 2.54/0.69 thf(f398,plain,(
% 2.54/0.69 ( ! [X2 : iS,X3 : iS,X0 : (iS > iS),X1 : iS] : (($true = ((sK2 @ X3 @ X3 @ X3))) | ($true = ((sK2 @ X2 @ X2 @ X2))) | ($true = ((sK2 @ X1 @ X1 @ X1))) | ((^[Y0 : iS]: (Y0)) != X0)) )),
% 2.54/0.69 inference(equality_resolution,[],[f397])).
% 2.54/0.69 thf(f412,plain,(
% 2.54/0.69 ( ! [X2 : (iS > iS),X0 : iS,X1 : iS] : (($true != $true) | ($true = ((sK2 @ X1 @ X1 @ X1))) | ($true = ((sK2 @ X0 @ X0 @ X0))) | ((^[Y0 : iS]: (Y0)) != X2)) )),
% 2.54/0.69 inference(equality_factoring,[],[f398])).
% 2.54/0.69 thf(f413,plain,(
% 2.54/0.69 ( ! [X2 : (iS > iS),X0 : iS,X1 : iS] : (($true = ((sK2 @ X1 @ X1 @ X1))) | ($true = ((sK2 @ X0 @ X0 @ X0))) | ((^[Y0 : iS]: (Y0)) != X2)) )),
% 2.54/0.69 inference(trivial_inequality_removal,[],[f412])).
% 2.54/0.69 thf(f433,plain,(
% 2.54/0.69 ( ! [X0 : iS,X1 : (iS > iS)] : (($true != $true) | ($true = ((sK2 @ X0 @ X0 @ X0))) | ((^[Y0 : iS]: (Y0)) != X1)) )),
% 2.54/0.69 inference(constrained_superposition,[],[f76,f413])).
% 2.54/0.69 thf(f439,plain,(
% 2.54/0.69 ( ! [X0 : iS,X1 : (iS > iS)] : (($true = ((sK2 @ X0 @ X0 @ X0))) | ((^[Y0 : iS]: (Y0)) != X1)) )),
% 2.54/0.69 inference(trivial_inequality_removal,[],[f433])).
% 2.54/0.69 thf(f458,plain,(
% 2.54/0.69 ( ! [X0 : (iS > iS)] : (($true != $true) | ((^[Y0 : iS]: (Y0)) != X0)) )),
% 2.54/0.69 inference(constrained_superposition,[],[f76,f439])).
% 2.54/0.69 thf(f469,plain,(
% 2.54/0.69 ( ! [X0 : (iS > iS)] : (((^[Y0 : iS]: (Y0)) != X0)) )),
% 2.54/0.69 inference(trivial_inequality_removal,[],[f458])).
% 2.54/0.69 thf(f483,plain,(
% 2.54/0.69 $false),
% 2.54/0.69 inference(equality_resolution,[],[f469])).
% 2.54/0.69 % SZS output end Proof for theBenchmark
% 2.54/0.69 % (726466)------------------------------
% 2.54/0.69 % (726466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.69 % (726466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.69 % (726466)CaDiCaL version: 2.1.3
% 2.54/0.69 % (726466)Termination reason: Refutation
% 2.54/0.69 % (726466)Time elapsed: 0.064 s
% 2.54/0.69 % (726466)Peak memory usage: 12 MB
% 2.54/0.69 % (726466)Instructions burned: 133 (million)
% 2.54/0.69 % (726370)Success in time 0.434 s
% 2.54/0.69 % Vampire exiting
%------------------------------------------------------------------------------