%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP044^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 08:08:05 AM UTC 2026
% Result : Theorem 1.93s 0.58s
% Output : Refutation 1.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP044^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n010.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 19:42:03 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.21/0.27 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.41 % (3312367)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.52/0.41 % (3312372)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3052353515:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.52/0.41 % (3312378)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.52/0.41 % (3312378)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
% 0.52/0.41 % (3312373)lrs+10_16_si=on:nwc=1.5:random_seed=1161569711:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.52/0.41 % (3312375)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=3527482198: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)
% 0.52/0.41 % (3312376)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1268835325:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.52/0.41 % (3312377)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3937637232:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.52/0.41 % (3312378)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=2393262620:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.52/0.41 % (3312374)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3829614370:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.52/0.41 % (3312374)Instruction limit reached!
% 0.52/0.41 % (3312374)------------------------------
% 0.52/0.41 % (3312374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3312374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3312374)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3312374)Termination reason: Instruction limit
% 0.52/0.41 % (3312374)Termination phase: shuffling
% 0.52/0.41 % (3312374)Time elapsed: 0.002 s
% 0.52/0.41 % (3312374)Peak memory usage: 10 MB
% 0.52/0.41 % (3312374)Instructions burned: 3 (million)
% 0.52/0.41 % (3312373)Instruction limit reached!
% 0.52/0.41 % (3312373)------------------------------
% 0.52/0.41 % (3312373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3312373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3312373)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3312373)Termination reason: Instruction limit
% 0.52/0.41 % (3312373)Termination phase: Property scanning
% 0.52/0.41 % (3312373)Time elapsed: 0.010 s
% 0.52/0.41 % (3312373)Peak memory usage: 10 MB
% 0.52/0.41 % (3312373)Instructions burned: 19 (million)
% 0.52/0.41 % (3312376)Instruction limit reached!
% 0.52/0.41 % (3312376)------------------------------
% 0.52/0.41 % (3312376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3312376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3312376)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3312376)Termination reason: Instruction limit
% 0.52/0.41 % (3312376)Termination phase: Property scanning
% 0.52/0.41 % (3312376)Time elapsed: 0.011 s
% 0.52/0.41 % (3312376)Peak memory usage: 10 MB
% 0.52/0.41 % (3312376)Instructions burned: 24 (million)
% 0.52/0.41 % (3312372)Instruction limit reached!
% 0.52/0.41 % (3312372)------------------------------
% 0.52/0.41 % (3312372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3312372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3312372)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3312372)Termination reason: Instruction limit
% 0.52/0.41 % (3312372)Termination phase: Saturation
% 0.52/0.41 % (3312372)Time elapsed: 0.022 s
% 0.52/0.41 % (3312372)Peak memory usage: 13 MB
% 0.52/0.41 % (3312372)Instructions burned: 88 (million)
% 0.52/0.41 % (3312386)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3075378778:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.52/0.41 % (3312389)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2062607568:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.52/0.45 % (3312386)Instruction limit reached!
% 0.52/0.45 % (3312386)------------------------------
% 0.52/0.45 % (3312386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3312386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3312386)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3312386)Termination reason: Instruction limit
% 0.52/0.45 % (3312386)Termination phase: shuffling
% 0.52/0.45 % (3312386)Time elapsed: 0.002 s
% 0.52/0.45 % (3312386)Peak memory usage: 10 MB
% 0.52/0.45 % (3312386)Instructions burned: 2 (million)
% 0.52/0.45 % (3312388)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.52/0.45 % (3312389)Instruction limit reached!
% 0.52/0.45 % (3312389)------------------------------
% 0.52/0.45 % (3312389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3312389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3312389)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3312389)Termination reason: Instruction limit
% 0.52/0.45 % (3312389)Termination phase: shuffling
% 0.52/0.45 % (3312389)Time elapsed: 0.003 s
% 0.52/0.45 % (3312389)Peak memory usage: 11 MB
% 0.52/0.45 % (3312389)Instructions burned: 13 (million)
% 0.52/0.45 % (3312387)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3387889224:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.52/0.45 % (3312388)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1804404328:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.52/0.45 % (3312387)Instruction limit reached!
% 0.52/0.45 % (3312387)------------------------------
% 0.52/0.45 % (3312387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3312387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3312387)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3312387)Termination reason: Instruction limit
% 0.52/0.45 % (3312387)Termination phase: shuffling
% 0.52/0.45 % (3312387)Time elapsed: 0.003 s
% 0.52/0.45 % (3312387)Peak memory usage: 10 MB
% 0.52/0.45 % (3312387)Instructions burned: 5 (million)
% 0.52/0.45 % (3312388)Instruction limit reached!
% 0.52/0.45 % (3312388)------------------------------
% 0.52/0.45 % (3312388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3312388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3312388)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3312388)Termination reason: Instruction limit
% 0.52/0.45 % (3312388)Termination phase: shuffling
% 0.52/0.45 % (3312388)Time elapsed: 0.004 s
% 0.52/0.45 % (3312388)Peak memory usage: 10 MB
% 0.52/0.45 % (3312388)Instructions burned: 8 (million)
% 0.52/0.45 % (3312377)Instruction limit reached!
% 0.52/0.45 % (3312377)------------------------------
% 0.52/0.45 % (3312377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3312377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3312377)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3312377)Termination reason: Instruction limit
% 0.52/0.45 % (3312377)Termination phase: Property scanning
% 0.52/0.45 % (3312377)Time elapsed: 0.037 s
% 0.52/0.45 % (3312377)Peak memory usage: 12 MB
% 0.52/0.45 % (3312377)Instructions burned: 77 (million)
% 0.52/0.45 % (3312393)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=4264510779:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.52/0.45 % (3312392)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
% 0.52/0.45 % (3312392)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.52/0.45 % (3312392)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2814235894:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.52/0.45 % (3312397)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.23/0.46 % (3312396)lrs+10_1_si=on:cs=on:random_seed=3123706034:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.23/0.46 % (3312397)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=2797726862:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.23/0.46 % (3312396)Instruction limit reached!
% 1.23/0.46 % (3312396)------------------------------
% 1.23/0.46 % (3312396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.46 % (3312396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.46 % (3312396)CaDiCaL version: 2.1.3
% 1.23/0.46 % (3312396)Termination reason: Instruction limit
% 1.23/0.46 % (3312396)Termination phase: shuffling
% 1.23/0.46 % (3312396)Time elapsed: 0.004 s
% 1.23/0.46 % (3312396)Peak memory usage: 10 MB
% 1.23/0.46 % (3312396)Instructions burned: 8 (million)
% 1.23/0.46 % (3312398)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2375373711:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.23/0.46 % (3312397)Instruction limit reached!
% 1.23/0.46 % (3312397)------------------------------
% 1.23/0.46 % (3312397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.46 % (3312397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.46 % (3312397)CaDiCaL version: 2.1.3
% 1.23/0.46 % (3312397)Termination reason: Instruction limit
% 1.23/0.46 % (3312397)Termination phase: shuffling
% 1.23/0.46 % (3312397)Time elapsed: 0.002 s
% 1.23/0.46 % (3312397)Peak memory usage: 10 MB
% 1.23/0.46 % (3312397)Instructions burned: 3 (million)
% 1.23/0.46 % (3312392)Instruction limit reached!
% 1.23/0.46 % (3312392)------------------------------
% 1.23/0.46 % (3312392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.46 % (3312392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.46 % (3312392)CaDiCaL version: 2.1.3
% 1.23/0.46 % (3312392)Termination reason: Instruction limit
% 1.23/0.46 % (3312392)Termination phase: Property scanning
% 1.23/0.46 % (3312392)Time elapsed: 0.014 s
% 1.23/0.46 % (3312392)Peak memory usage: 11 MB
% 1.23/0.46 % (3312392)Instructions burned: 30 (million)
% 1.23/0.46 % (3312393)Instruction limit reached!
% 1.23/0.46 % (3312393)------------------------------
% 1.23/0.46 % (3312393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.46 % (3312393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.46 % (3312393)CaDiCaL version: 2.1.3
% 1.23/0.46 % (3312393)Termination reason: Instruction limit
% 1.23/0.46 % (3312393)Termination phase: Property scanning
% 1.23/0.46 % (3312393)Time elapsed: 0.020 s
% 1.23/0.46 % (3312393)Peak memory usage: 11 MB
% 1.23/0.46 % (3312393)Instructions burned: 91 (million)
% 1.23/0.46 % (3312406)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2978542490:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.23/0.46 % (3312403)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1708382907:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.23/0.46 % (3312406)Instruction limit reached!
% 1.23/0.46 % (3312406)------------------------------
% 1.23/0.46 % (3312406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.46 % (3312406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.46 % (3312406)CaDiCaL version: 2.1.3
% 1.23/0.46 % (3312406)Termination reason: Instruction limit
% 1.23/0.46 % (3312406)Termination phase: Property scanning
% 1.23/0.46 % (3312406)Time elapsed: 0.004 s
% 1.23/0.46 % (3312406)Peak memory usage: 10 MB
% 1.23/0.46 % (3312406)Instructions burned: 16 (million)
% 1.23/0.46 % (3312405)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1505212502:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.23/0.46 % (3312398)Instruction limit reached!
% 1.23/0.46 % (3312398)------------------------------
% 1.23/0.46 % (3312398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.46 % (3312398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.46 % (3312398)CaDiCaL version: 2.1.3
% 1.23/0.46 % (3312398)Termination reason: Instruction limit
% 1.23/0.46 % (3312398)Termination phase: Property scanning
% 1.23/0.51 % (3312398)Time elapsed: 0.020 s
% 1.23/0.51 % (3312398)Peak memory usage: 11 MB
% 1.23/0.51 % (3312398)Instructions burned: 40 (million)
% 1.23/0.51 % (3312407)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=149878328:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.23/0.51 % (3312378)Instruction limit reached!
% 1.23/0.51 % (3312378)------------------------------
% 1.23/0.51 % (3312378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.51 % (3312378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.51 % (3312378)CaDiCaL version: 2.1.3
% 1.23/0.51 % (3312378)Termination reason: Instruction limit
% 1.23/0.51 % (3312378)Termination phase: Saturation
% 1.23/0.51 % (3312378)Time elapsed: 0.080 s
% 1.23/0.51 % (3312378)Peak memory usage: 13 MB
% 1.23/0.51 % (3312378)Instructions burned: 163 (million)
% 1.23/0.51 % (3312410)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=981049343:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.23/0.51 % (3312405)Instruction limit reached!
% 1.23/0.51 % (3312405)------------------------------
% 1.23/0.51 % (3312405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.51 % (3312405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.51 % (3312405)CaDiCaL version: 2.1.3
% 1.23/0.51 % (3312405)Termination reason: Instruction limit
% 1.23/0.51 % (3312405)Termination phase: SInE selection
% 1.23/0.51 % (3312405)Time elapsed: 0.012 s
% 1.23/0.51 % (3312405)Peak memory usage: 11 MB
% 1.23/0.51 % (3312405)Instructions burned: 25 (million)
% 1.23/0.51 % (3312410)Instruction limit reached!
% 1.23/0.51 % (3312410)------------------------------
% 1.23/0.51 % (3312410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.51 % (3312410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.51 % (3312410)CaDiCaL version: 2.1.3
% 1.23/0.51 % (3312410)Termination reason: Instruction limit
% 1.23/0.51 % (3312410)Termination phase: Property scanning
% 1.23/0.51 % (3312410)Time elapsed: 0.004 s
% 1.23/0.51 % (3312410)Peak memory usage: 10 MB
% 1.23/0.51 % (3312410)Instructions burned: 16 (million)
% 1.23/0.51 % (3312412)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1701708428: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)
% 1.23/0.51 % (3312412)Instruction limit reached!
% 1.23/0.51 % (3312412)------------------------------
% 1.23/0.51 % (3312412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.51 % (3312412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.51 % (3312412)CaDiCaL version: 2.1.3
% 1.23/0.51 % (3312412)Termination reason: Instruction limit
% 1.23/0.51 % (3312412)Termination phase: shuffling
% 1.23/0.51 % (3312412)Time elapsed: 0.002 s
% 1.23/0.51 % (3312412)Peak memory usage: 10 MB
% 1.23/0.51 % (3312412)Instructions burned: 3 (million)
% 1.23/0.51 % (3312414)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1958194427:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.23/0.51 % (3312417)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1798607203:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.23/0.51 % (3312403)Refutation not found, incomplete strategy
% 1.23/0.51 % (3312403)------------------------------
% 1.23/0.51 % (3312403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.51 % (3312403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.51 % (3312403)CaDiCaL version: 2.1.3
% 1.23/0.51 % (3312403)Termination reason: Refutation not found, incomplete strategy
% 1.23/0.51 % (3312403)Time elapsed: 0.027 s
% 1.23/0.51 % (3312403)Peak memory usage: 13 MB
% 1.23/0.51 % (3312403)Instructions burned: 55 (million)
% 1.23/0.51 % (3312403)------------------------------
% 1.23/0.51 % (3312403)------------------------------
% 1.23/0.51 % (3312416)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3908745140:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.23/0.51 % (3312414)Instruction limit reached!
% 1.23/0.51 % (3312414)------------------------------
% 1.23/0.51 % (3312414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.51 % (3312414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.58 % (3312414)CaDiCaL version: 2.1.3
% 1.93/0.58 % (3312414)Termination reason: Instruction limit
% 1.93/0.58 % (3312414)Termination phase: shuffling
% 1.93/0.58 % (3312414)Time elapsed: 0.012 s
% 1.93/0.58 % (3312414)Peak memory usage: 10 MB
% 1.93/0.58 % (3312414)Instructions burned: 26 (million)
% 1.93/0.58 % (3312419)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
% 1.93/0.58 % (3312419)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.93/0.58 % (3312417)Instruction limit reached!
% 1.93/0.58 % (3312417)------------------------------
% 1.93/0.58 % (3312417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.58 % (3312417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.58 % (3312417)CaDiCaL version: 2.1.3
% 1.93/0.58 % (3312417)Termination reason: Instruction limit
% 1.93/0.58 % (3312417)Termination phase: Property scanning
% 1.93/0.58 % (3312417)Time elapsed: 0.015 s
% 1.93/0.58 % (3312417)Peak memory usage: 12 MB
% 1.93/0.58 % (3312417)Instructions burned: 62 (million)
% 1.93/0.58 % (3312419)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=3036782580:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.93/0.58 % (3312416)Instruction limit reached!
% 1.93/0.58 % (3312416)------------------------------
% 1.93/0.58 % (3312416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.58 % (3312416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.58 % (3312416)CaDiCaL version: 2.1.3
% 1.93/0.58 % (3312416)Termination reason: Instruction limit
% 1.93/0.58 % (3312416)Termination phase: Property scanning
% 1.93/0.58 % (3312416)Time elapsed: 0.012 s
% 1.93/0.58 % (3312416)Peak memory usage: 10 MB
% 1.93/0.58 % (3312416)Instructions burned: 23 (million)
% 1.93/0.58 % (3312422)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.93/0.58 % (3312422)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=2223982627:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.93/0.58 % (3312419)Instruction limit reached!
% 1.93/0.58 % (3312419)------------------------------
% 1.93/0.58 % (3312419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.58 % (3312419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.58 % (3312419)CaDiCaL version: 2.1.3
% 1.93/0.58 % (3312419)Termination reason: Instruction limit
% 1.93/0.58 % (3312419)Termination phase: shuffling
% 1.93/0.58 % (3312419)Time elapsed: 0.007 s
% 1.93/0.58 % (3312419)Peak memory usage: 10 MB
% 1.93/0.58 % (3312419)Instructions burned: 15 (million)
% 1.93/0.58 % (3312425)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=948091867:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.93/0.58 % (3312422)Instruction limit reached!
% 1.93/0.58 % (3312422)------------------------------
% 1.93/0.58 % (3312422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.58 % (3312422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.58 % (3312422)CaDiCaL version: 2.1.3
% 1.93/0.58 % (3312422)Termination reason: Instruction limit
% 1.93/0.58 % (3312422)Termination phase: shuffling
% 1.93/0.58 % (3312422)Time elapsed: 0.005 s
% 1.93/0.58 % (3312422)Peak memory usage: 10 MB
% 1.93/0.58 % (3312422)Instructions burned: 9 (million)
% 1.93/0.58 % (3312425)Instruction limit reached!
% 1.93/0.58 % (3312425)------------------------------
% 1.93/0.58 % (3312425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.58 % (3312425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.58 % (3312425)CaDiCaL version: 2.1.3
% 1.93/0.58 % (3312425)Termination reason: Instruction limit
% 1.93/0.58 % (3312425)Termination phase: shuffling
% 1.93/0.58 % (3312425)Time elapsed: 0.003 s
% 1.93/0.58 % (3312425)Peak memory usage: 11 MB
% 1.93/0.58 % (3312425)Instructions burned: 13 (million)
% 1.93/0.58 % (3312424)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=1166767693:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.93/0.58 % (3312427)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1206272432:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.93/0.58 % (3312432)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=177443402:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.93/0.58 % (3312429)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=338660278:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.93/0.58 % (3312424)Instruction limit reached!
% 1.93/0.58 % (3312424)------------------------------
% 1.93/0.58 % (3312424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.58 % (3312424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.58 % (3312424)CaDiCaL version: 2.1.3
% 1.93/0.58 % (3312424)Termination reason: Instruction limit
% 1.93/0.58 % (3312424)Termination phase: Property scanning
% 1.93/0.58 % (3312424)Time elapsed: 0.014 s
% 1.93/0.58 % (3312424)Peak memory usage: 11 MB
% 1.93/0.58 % (3312424)Instructions burned: 32 (million)
% 1.93/0.58 % (3312431)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1132620972:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.93/0.58 % (3312427)Instruction limit reached!
% 1.93/0.58 % (3312427)------------------------------
% 1.93/0.58 % (3312427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.58 % (3312427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.58 % (3312427)CaDiCaL version: 2.1.3
% 1.93/0.58 % (3312427)Termination reason: Instruction limit
% 1.93/0.58 % (3312427)Termination phase: shuffling
% 1.93/0.58 % (3312427)Time elapsed: 0.010 s
% 1.93/0.58 % (3312427)Peak memory usage: 10 MB
% 1.93/0.58 % (3312427)Instructions burned: 23 (million)
% 1.93/0.58 % (3312429)Instruction limit reached!
% 1.93/0.58 % (3312429)------------------------------
% 1.93/0.58 % (3312429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.58 % (3312429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.58 % (3312429)CaDiCaL version: 2.1.3
% 1.93/0.58 % (3312429)Termination reason: Instruction limit
% 1.93/0.58 % (3312429)Termination phase: Property scanning
% 1.93/0.58 % (3312429)Time elapsed: 0.009 s
% 1.93/0.58 % (3312429)Peak memory usage: 11 MB
% 1.93/0.58 % (3312429)Instructions burned: 20 (million)
% 1.93/0.58 % (3312437)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1108080871:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.93/0.58 % (3312439)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2885766566:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.93/0.58 % (3312440)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.93/0.58 % (3312440)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3997083632:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.93/0.58 % (3312440)Instruction limit reached!
% 1.93/0.58 % (3312440)------------------------------
% 1.93/0.58 % (3312440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.58 % (3312440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.58 % (3312440)CaDiCaL version: 2.1.3
% 1.93/0.58 % (3312440)Termination reason: Instruction limit
% 1.93/0.58 % (3312440)Termination phase: shuffling
% 1.93/0.58 % (3312440)Time elapsed: 0.004 s
% 1.93/0.58 % (3312440)Peak memory usage: 10 MB
% 1.93/0.58 % (3312440)Instructions burned: 8 (million)
% 1.93/0.58 % (3312432)Instruction limit reached!
% 1.93/0.58 % (3312432)------------------------------
% 1.93/0.58 % (3312432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.58 % (3312432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.58 % (3312432)CaDiCaL version: 2.1.3
% 1.93/0.58 % (3312432)Termination reason: Instruction limit
% 1.93/0.58 % (3312432)Termination phase: Saturation
% 1.93/0.58 % (3312432)Time elapsed: 0.037 s
% 1.93/0.58 % (3312432)Peak memory usage: 14 MB
% 1.93/0.58 % (3312432)Instructions burned: 145 (million)
% 1.93/0.58 % (3312445)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=3389794474: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)
% 1.93/0.58 % (3312439)Instruction limit reached!
% 1.93/0.58 % (3312439)------------------------------
% 1.93/0.58 % (3312439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.58 % (3312439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.58 % (3312439)CaDiCaL version: 2.1.3
% 1.93/0.58 % (3312439)Termination reason: Instruction limit
% 1.93/0.58 % (3312439)Termination phase: Preprocessing 3
% 1.93/0.58 % (3312439)Time elapsed: 0.020 s
% 1.93/0.58 % (3312439)Peak memory usage: 11 MB
% 1.93/0.58 % (3312439)Instructions burned: 43 (million)
% 1.93/0.58 % (3312444)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3776505855:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.93/0.58 % (3312447)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.93/0.58 % (3312447)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1006585517:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.93/0.58 % (3312447)Instruction limit reached!
% 1.93/0.58 % (3312447)------------------------------
% 1.93/0.58 % (3312447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.58 % (3312447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.58 % (3312447)CaDiCaL version: 2.1.3
% 1.93/0.58 % (3312447)Termination reason: Instruction limit
% 1.93/0.58 % (3312447)Termination phase: shuffling
% 1.93/0.58 % (3312447)Time elapsed: 0.004 s
% 1.93/0.58 % (3312447)Peak memory usage: 10 MB
% 1.93/0.58 % (3312447)Instructions burned: 8 (million)
% 1.93/0.58 % (3312450)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2141908080:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.93/0.58 % (3312445)Instruction limit reached!
% 1.93/0.58 % (3312445)------------------------------
% 1.93/0.58 % (3312445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.58 % (3312445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.58 % (3312445)CaDiCaL version: 2.1.3
% 1.93/0.58 % (3312445)Termination reason: Instruction limit
% 1.93/0.58 % (3312445)Termination phase: Saturation
% 1.93/0.58 % (3312445)Time elapsed: 0.047 s
% 1.93/0.58 % (3312445)Peak memory usage: 14 MB
% 1.93/0.58 % (3312445)Instructions burned: 173 (million)
% 1.93/0.58 % (3312450)Instruction limit reached!
% 1.93/0.58 % (3312450)------------------------------
% 1.93/0.58 % (3312450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.58 % (3312450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.58 % (3312450)CaDiCaL version: 2.1.3
% 1.93/0.58 % (3312450)Termination reason: Instruction limit
% 1.93/0.58 % (3312450)Termination phase: Property scanning
% 1.93/0.58 % (3312450)Time elapsed: 0.010 s
% 1.93/0.58 % (3312450)Peak memory usage: 11 MB
% 1.93/0.58 % (3312450)Instructions burned: 22 (million)
% 1.93/0.58 % (3312375) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3312367-3312375"...
% 1.93/0.58 % (3312375)...printing done.
% 1.93/0.58 % (3312452)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1244999842:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 1.93/0.58 % (3312375)Refutation found. Thanks to Tanya!
% 1.93/0.58 % SZS status Theorem for theBenchmark
% 1.93/0.58 % SZS output start Proof for theBenchmark
% 1.93/0.58 thf(type_def_5, type, poly: $tType > $tType).
% 1.93/0.58 thf(type_def_6, type, list: $tType > $tType).
% 1.93/0.58 thf(type_def_7, type, nat: $tType).
% 1.93/0.58 thf(type_def_8, type, a: $tType).
% 1.93/0.58 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 1.93/0.58 thf(func_def_0, type, comm_ring_1: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_2, type, one: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_3, type, sgn: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_4, type, idom: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_5, type, ring: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_6, type, plus: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_7, type, zero: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_8, type, ring_1: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_9, type, uminus: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_10, type, ord: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_11, type, ring_char_0: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_12, type, neg_numeral: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_13, type, comm_ring: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_14, type, mult_zero: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_15, type, group_add: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_16, type, monoid_add: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_17, type, monoid_mult: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_18, type, linorder: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_19, type, idom_abs_sgn: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_20, type, zero_neq_one: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_21, type, ab_group_add: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_22, type, wellorder: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_23, type, zero_less_one: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_24, type, semigroup_mult: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_25, type, comm_semiring_0: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_26, type, comm_semiring_1: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_27, type, linordered_idom: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_28, type, linordered_ring: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_29, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_30, type, comm_monoid_mult: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_31, type, ab_semigroup_mult: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_32, type, boolean_algebra: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_33, type, linordered_semidom: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_34, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_35, type, linord581940658strict: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_36, type, ring_11004092258visors: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_37, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_38, type, semiri1193490041visors: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_39, type, linord20386208strict: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_40, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_41, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_42, type, linord893533164strict: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_43, type, semiri1923998003cancel: !>[X0: $tType]:($o)).
% 1.93/0.58 thf(func_def_44, type, descar1668888542_psums: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.93/0.58 thf(func_def_45, type, descar316357986e_root: !>[X0: $tType]:((X0 > poly @ X0 > poly @ X0))).
% 1.93/0.58 thf(func_def_46, type, descar149487500hanges: !>[X0: $tType]:((list @ X0 > nat))).
% 1.93/0.58 thf(func_def_47, type, one_one: !>[X0: $tType]:(X0)).
% 1.93/0.58 thf(func_def_48, type, times_times: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.93/0.58 thf(func_def_49, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 1.93/0.58 thf(func_def_50, type, zero_zero: !>[X0: $tType]:(X0)).
% 1.93/0.58 thf(func_def_51, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.93/0.58 thf(func_def_52, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 1.93/0.58 thf(func_def_53, type, nil: !>[X0: $tType]:(list @ X0)).
% 1.93/0.58 thf(func_def_54, type, n_lists: !>[X0: $tType]:((nat > list @ X0 > list @ list @ X0))).
% 1.93/0.58 thf(func_def_55, type, null: !>[X0: $tType]:((list @ X0 > $o))).
% 1.93/0.58 thf(func_def_56, type, neg_numeral_dbl_dec: !>[X0: $tType]:((X0 > X0))).
% 1.93/0.58 thf(func_def_57, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.93/0.58 thf(func_def_58, type, poly2: !>[X0: $tType]:((list @ X0 > poly @ X0))).
% 1.93/0.58 thf(func_def_59, type, coeffs: !>[X0: $tType]:((poly @ X0 > list @ X0))).
% 1.93/0.58 thf(func_def_60, type, is_zero: !>[X0: $tType]:((poly @ X0 > $o))).
% 1.93/0.58 thf(func_def_61, type, pCons: !>[X0: $tType]:((X0 > poly @ X0 > poly @ X0))).
% 1.93/0.58 thf(func_def_62, type, poly_cutoff: !>[X0: $tType]:((nat > poly @ X0 > poly @ X0))).
% 1.93/0.58 thf(func_def_63, type, smult: !>[X0: $tType]:((X0 > poly @ X0 > poly @ X0))).
% 1.93/0.58 thf(func_def_64, type, g: poly @ a).
% 1.93/0.58 thf(func_def_65, type, v: (poly @ a > nat)).
% 1.93/0.58 thf(func_def_66, type, xs: list @ a).
% 1.93/0.58 thf(func_def_67, type, ys: list @ a).
% 1.93/0.58 thf(func_def_71, type, db1: !>[X0: $tType]:(X0)).
% 1.93/0.58 thf(func_def_72, type, db0: !>[X0: $tType]:(X0)).
% 1.93/0.58 thf(func_def_73, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.93/0.58 thf(func_def_74, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.93/0.58 thf(func_def_75, type, sK0: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_76, type, sK1: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_77, type, sK2: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.93/0.58 thf(func_def_78, type, sK3: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.93/0.58 thf(func_def_79, type, sK4: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_80, type, sK5: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.93/0.58 thf(func_def_81, type, sK6: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.93/0.58 thf(func_def_82, type, sK7: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_83, type, sK8: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_84, type, sK9: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_85, type, sK10: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.93/0.58 thf(func_def_86, type, sK11: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_87, type, sK12: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 1.93/0.58 thf(func_def_88, type, sK13: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 1.93/0.58 thf(func_def_89, type, sK14: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 1.93/0.58 thf(func_def_90, type, sK15: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 1.93/0.58 thf(func_def_91, type, sK16: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_92, type, sK17: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 1.93/0.58 thf(func_def_93, type, sK18: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 1.93/0.58 thf(func_def_94, type, sK19: !>[X0: $tType]:((poly @ X0 > X0))).
% 1.93/0.58 thf(func_def_95, type, sK20: !>[X0: $tType]:((poly @ X0 > poly @ X0))).
% 1.93/0.58 thf(func_def_96, type, sK21: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_97, type, sK22: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_98, type, sK23: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_99, type, sK24: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_100, type, sK25: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_101, type, sK26: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_102, type, sK27: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_103, type, sK28: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_104, type, sK29: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_105, type, sK30: ((nat > $o) > nat)).
% 1.93/0.58 thf(func_def_106, type, sK31: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > X0))).
% 1.93/0.58 thf(func_def_107, type, sK32: !>[X0: $tType]:(((poly @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_108, type, sK33: !>[X0: $tType]:(((poly @ X0 > $o) > poly @ X0))).
% 1.93/0.58 thf(func_def_109, type, sK34: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_110, type, sK35: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_111, type, sK36: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_112, type, sK37: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_113, type, sK38: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 1.93/0.58 thf(func_def_114, type, sK39: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 1.93/0.58 thf(func_def_115, type, sK40: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 1.93/0.58 thf(func_def_116, type, sK41: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 1.93/0.58 thf(func_def_117, type, sK42: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 1.93/0.58 thf(func_def_118, type, sK43: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > list @ X1))).
% 1.93/0.58 thf(func_def_119, type, sK44: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 1.93/0.58 thf(func_def_120, type, sK45: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_121, type, sK46: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_122, type, sK47: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_123, type, sK48: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_124, type, sK49: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_125, type, sK50: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_126, type, sK51: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_127, type, sK52: !>[X0: $tType]:((list @ X0 > X0))).
% 1.93/0.58 thf(func_def_128, type, sK53: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.93/0.58 thf(func_def_129, type, sK54: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 1.93/0.58 thf(func_def_130, type, sK55: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 1.93/0.58 thf(func_def_131, type, sK56: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 1.93/0.58 thf(func_def_132, type, sK57: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 1.93/0.58 thf(func_def_133, type, sK58: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_134, type, sK59: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_135, type, sK60: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_136, type, sK61: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_137, type, sK62: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_138, type, sK63: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_139, type, sK64: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > list @ X0))).
% 1.93/0.58 thf(func_def_140, type, sK65: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_141, type, sK66: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_142, type, sK67: !>[X0: $tType]:((list @ X0 > X0))).
% 1.93/0.58 thf(func_def_143, type, sK68: !>[X0: $tType]:((list @ X0 > X0))).
% 1.93/0.58 thf(func_def_144, type, sK69: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.93/0.58 thf(func_def_145, type, sK70: !>[X0: $tType]:((list @ X0 > X0))).
% 1.93/0.58 thf(func_def_146, type, sK71: !>[X0: $tType]:((list @ X0 > X0))).
% 1.93/0.58 thf(func_def_147, type, sK72: !>[X0: $tType]:((list @ X0 > X0))).
% 1.93/0.58 thf(func_def_148, type, sK73: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.93/0.58 thf(func_def_149, type, sK74: !>[X0: $tType]:((list @ X0 > X0))).
% 1.93/0.58 thf(func_def_150, type, sK75: !>[X0: $tType]:((poly @ X0 > poly @ X0))).
% 1.93/0.58 thf(func_def_151, type, sK76: !>[X0: $tType]:((poly @ X0 > X0))).
% 1.93/0.58 thf(func_def_152, type, sK77: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_153, type, sK78: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_154, type, sK79: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 1.93/0.58 thf(func_def_155, type, sK80: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 1.93/0.58 thf(func_def_156, type, sK81: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 1.93/0.58 thf(func_def_157, type, sK82: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 1.93/0.58 thf(func_def_158, type, sK83: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 1.93/0.58 thf(func_def_159, type, sK84: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_160, type, sK85: ((nat > $o) > nat)).
% 1.93/0.58 thf(func_def_161, type, sK86: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.93/0.58 thf(func_def_162, type, sK87: !>[X0: $tType]:((list @ X0 > X0))).
% 1.93/0.58 thf(func_def_163, type, sK88: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_164, type, sK89: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_165, type, sK90: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_166, type, sK91: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_167, type, sK92: ((nat > $o) > nat)).
% 1.93/0.58 thf(func_def_168, type, sK93: !>[X0: $tType]:((list @ X0 > X0))).
% 1.93/0.58 thf(func_def_169, type, sK94: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.93/0.58 thf(func_def_170, type, sK95: !>[X0: $tType, X1: $tType]:(((poly @ X0 > poly @ X1 > $o) > X1))).
% 1.93/0.58 thf(func_def_171, type, sK96: !>[X0: $tType, X1: $tType]:(((poly @ X0 > poly @ X1 > $o) > poly @ X0))).
% 1.93/0.58 thf(func_def_172, type, sK97: !>[X0: $tType, X1: $tType]:(((poly @ X0 > poly @ X1 > $o) > poly @ X1))).
% 1.93/0.58 thf(func_def_173, type, sK98: !>[X0: $tType, X1: $tType]:(((poly @ X0 > poly @ X1 > $o) > X0))).
% 1.93/0.58 thf(func_def_174, type, sK99: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > $o) > X1))).
% 1.93/0.58 thf(func_def_175, type, sK100: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 1.93/0.58 thf(func_def_176, type, sK101: !>[X0: $tType]:((list @ X0 > X0))).
% 1.93/0.58 thf(func_def_177, type, sK102: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.93/0.58 thf(func_def_178, type, sK103: !>[X0: $tType]:(((poly @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_179, type, sK104: !>[X0: $tType]:(((poly @ X0 > $o) > poly @ X0))).
% 1.93/0.58 thf(func_def_180, type, sK105: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_181, type, sK106: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_182, type, sK107: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_183, type, sK108: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_184, type, sK109: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_185, type, sK110: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_186, type, sK111: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_187, type, sK112: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_188, type, sK113: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_189, type, sK114: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_190, type, sK115: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_191, type, sK116: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.93/0.58 thf(func_def_192, type, sK117: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 1.93/0.58 thf(func_def_193, type, sK118: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_194, type, sK119: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.93/0.58 thf(func_def_195, type, sK120: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.93/0.58 thf(func_def_196, type, sK121: !>[X0: $tType]:((list @ X0 > X0))).
% 1.93/0.58 thf(func_def_197, type, sK122: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.93/0.58 thf(func_def_198, type, sK123: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0 > list @ X0))).
% 1.93/0.58 thf(func_def_199, type, vNOT: ($o > $o)).
% 1.93/0.58 thf(func_def_201, type, inv_append_125: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.93/0.58 thf(func_def_202, type, inv_append_126: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.93/0.58 thf(f5,axiom,(
% 1.93/0.58 ! [X0 : $tType] : (linordered_idom @ X0 => ! [X2 : poly @ X0,X1 : list @ X0] : ((((poly2 @ X0 @ X1)) = X2) => (((descar149487500hanges @ X0 @ X1)) = ((descar149487500hanges @ X0 @ (coeffs @ X0 @ X2))))))),
% 1.93/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_sign__changes__coeff__sign__changes)).
% 1.93/0.58 thf(f6,axiom,(
% 1.93/0.58 (ys = ((append @ a @ (coeffs @ a @ g) @ (cons @ a @ zero_zero @ a @ nil @ a))))),
% 1.93/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_ys__def)).
% 1.93/0.58 thf(f36,axiom,(
% 1.93/0.58 ! [X0 : $tType] : (zero @ X0 => ! [X1 : list @ X0] : (((poly2 @ X0 @ (append @ X0 @ X1 @ (cons @ X0 @ zero_zero @ X0 @ nil @ X0)))) = ((poly2 @ X0 @ X1))))),
% 1.93/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_Poly__snoc__zero)).
% 1.93/0.58 thf(f260,axiom,(
% 1.93/0.58 ! [X0 : $tType] : (linordered_idom @ X0 => zero @ X0)),
% 1.93/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subcl_Rings_Olinordered__idom___Groups_Ozero)).
% 1.93/0.58 thf(f364,axiom,(
% 1.93/0.58 linordered_idom @ a),
% 1.93/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_0)).
% 1.93/0.58 thf(f365,conjecture,(
% 1.93/0.58 (((descar149487500hanges @ a @ ys)) = ((descar149487500hanges @ a @ (coeffs @ a @ g))))),
% 1.93/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.93/0.58 thf(f366,negated_conjecture,(
% 1.93/0.58 ~ (((descar149487500hanges @ a @ ys)) = ((descar149487500hanges @ a @ (coeffs @ a @ g))))),
% 1.93/0.58 inference(negated_conjecture,[status(cth)],[f365])).
% 1.93/0.58 thf(f415,plain,(
% 1.93/0.58 ! [X0 : $tType] : (zero @ X0 => ! [X1 : list @ X0] : (((poly2 @ X0 @ (append @ X0 @ X1 @ (cons @ X0 @ zero_zero @ X0 @ nil @ X0)))) = ((poly2 @ X0 @ X1))))),
% 1.93/0.58 inference(rectify,[],[f36])).
% 1.93/0.58 thf(f416,plain,(
% 1.93/0.58 ! [X0 : $tType] : ((zero @ X0 = $true) => ! [X1 : list @ X0] : (((poly2 @ X0 @ X1)) = ((poly2 @ X0 @ (append @ X0 @ X1 @ (cons @ X0 @ zero_zero @ X0 @ nil @ X0))))))),
% 1.93/0.58 inference(fool_elimination,[],[f415])).
% 1.93/0.58 thf(f475,plain,(
% 1.93/0.58 ! [X0 : $tType] : (linordered_idom @ X0 => zero @ X0)),
% 1.93/0.58 inference(rectify,[],[f260])).
% 1.93/0.58 thf(f476,plain,(
% 1.93/0.58 ! [X0 : $tType] : ((linordered_idom @ X0 = $true) => (zero @ X0 = $true))),
% 1.93/0.58 inference(fool_elimination,[],[f475])).
% 1.93/0.58 thf(f593,plain,(
% 1.93/0.58 ! [X0 : $tType] : (linordered_idom @ X0 => ! [X1 : poly @ X0,X2 : list @ X0] : ((((poly2 @ X0 @ X2)) = X1) => (((descar149487500hanges @ X0 @ X2)) = ((descar149487500hanges @ X0 @ (coeffs @ X0 @ X1))))))),
% 1.93/0.58 inference(rectify,[],[f5])).
% 1.93/0.58 thf(f594,plain,(
% 1.93/0.58 ! [X0 : $tType] : ((linordered_idom @ X0 = $true) => ! [X1 : poly @ X0,X2 : list @ X0] : ((((poly2 @ X0 @ X2)) = X1) => (((descar149487500hanges @ X0 @ X2)) = ((descar149487500hanges @ X0 @ (coeffs @ X0 @ X1))))))),
% 1.93/0.58 inference(fool_elimination,[],[f593])).
% 1.93/0.58 thf(f820,plain,(
% 1.93/0.58 linordered_idom @ a),
% 1.93/0.58 inference(rectify,[],[f364])).
% 1.93/0.58 thf(f821,plain,(
% 1.93/0.58 (linordered_idom @ a = $true)),
% 1.93/0.58 inference(fool_elimination,[],[f820])).
% 1.93/0.58 thf(f1026,plain,(
% 1.93/0.58 (((descar149487500hanges @ a @ ys)) != ((descar149487500hanges @ a @ (coeffs @ a @ g))))),
% 1.93/0.58 inference(flattening,[],[f366])).
% 1.93/0.58 thf(f1066,plain,(
% 1.93/0.58 ! [X0 : $tType] : (! [X2 : list @ X0,X1 : poly @ X0] : ((((poly2 @ X0 @ X2)) != X1) | (((descar149487500hanges @ X0 @ X2)) = ((descar149487500hanges @ X0 @ (coeffs @ X0 @ X1))))) | (linordered_idom @ X0 != $true))),
% 1.93/0.58 inference(ennf_transformation,[],[f594])).
% 1.93/0.58 thf(f1237,plain,(
% 1.93/0.58 ! [X0 : $tType] : (! [X1 : list @ X0] : (((poly2 @ X0 @ X1)) = ((poly2 @ X0 @ (append @ X0 @ X1 @ (cons @ X0 @ zero_zero @ X0 @ nil @ X0))))) | (zero @ X0 != $true))),
% 1.93/0.58 inference(ennf_transformation,[],[f416])).
% 1.93/0.58 thf(f1241,plain,(
% 1.93/0.58 ! [X0 : $tType] : ((linordered_idom @ X0 != $true) | (zero @ X0 = $true))),
% 1.93/0.58 inference(ennf_transformation,[],[f476])).
% 1.93/0.58 thf(f1496,plain,(
% 1.93/0.58 ! [X0 : $tType] : (! [X1 : list @ X0,X2 : poly @ X0] : ((((poly2 @ X0 @ X1)) != X2) | (((descar149487500hanges @ X0 @ X1)) = ((descar149487500hanges @ X0 @ (coeffs @ X0 @ X2))))) | (linordered_idom @ X0 != $true))),
% 1.93/0.58 inference(rectify,[],[f1066])).
% 1.93/0.58 thf(f1672,plain,(
% 1.93/0.58 (ys = ((append @ a @ (coeffs @ a @ g) @ (cons @ a @ zero_zero @ a @ nil @ a))))),
% 1.93/0.58 inference(cnf_transformation,[],[f6])).
% 1.93/0.58 thf(f1839,plain,(
% 1.93/0.58 ( ! [X0 : $tType,X1 : list @ X0] : ((((poly2 @ X0 @ X1)) = ((poly2 @ X0 @ (append @ X0 @ X1 @ (cons @ X0 @ zero_zero @ X0 @ nil @ X0))))) | (zero @ X0 != $true)) )),
% 1.93/0.58 inference(cnf_transformation,[],[f1237])).
% 1.93/0.58 thf(f1874,plain,(
% 1.93/0.58 ( ! [X0 : $tType,X2 : poly @ X0,X1 : list @ X0] : ((((poly2 @ X0 @ X1)) != X2) | (((descar149487500hanges @ X0 @ X1)) = ((descar149487500hanges @ X0 @ (coeffs @ X0 @ X2)))) | (linordered_idom @ X0 != $true)) )),
% 1.93/0.58 inference(cnf_transformation,[],[f1496])).
% 1.93/0.58 thf(f1922,plain,(
% 1.93/0.58 ( ! [X0 : $tType] : ((zero @ X0 = $true) | (linordered_idom @ X0 != $true)) )),
% 1.93/0.58 inference(cnf_transformation,[],[f1241])).
% 1.93/0.58 thf(f2039,plain,(
% 1.93/0.58 (((descar149487500hanges @ a @ ys)) != ((descar149487500hanges @ a @ (coeffs @ a @ g))))),
% 1.93/0.58 inference(cnf_transformation,[],[f1026])).
% 1.93/0.58 thf(f2156,plain,(
% 1.93/0.58 (linordered_idom @ a = $true)),
% 1.93/0.58 inference(cnf_transformation,[],[f821])).
% 1.93/0.58 thf(f2203,plain,(
% 1.93/0.58 ( ! [X0 : $tType,X1 : list @ X0] : ((((descar149487500hanges @ X0 @ X1)) = ((descar149487500hanges @ X0 @ (coeffs @ X0 @ (poly2 @ X0 @ X1))))) | (linordered_idom @ X0 != $true)) )),
% 1.93/0.58 inference(equality_resolution,[],[f1874])).
% 1.93/0.58 thf(f2317,definition,(
% 1.93/0.58 spl124_6 <=> (linordered_idom @ a = $true)),
% 1.93/0.58 introduced(definition,[new_symbols(definition,[spl124_6])],[avatar_definition])).
% 1.93/0.58 thf(f2319,plain,(
% 1.93/0.58 (linordered_idom @ a = $true) | ~spl124_6),
% 1.93/0.58 inference(avatar_component_clause,[],[f2317])).
% 1.93/0.58 thf(f2320,plain,(
% 1.93/0.58 spl124_6),
% 1.93/0.58 inference(avatar_split_clause,[],[f2156,f2317])).
% 1.93/0.58 thf(f2327,definition,(
% 1.93/0.58 spl124_8 <=> (((descar149487500hanges @ a @ ys)) = ((descar149487500hanges @ a @ (coeffs @ a @ g))))),
% 1.93/0.58 introduced(definition,[new_symbols(definition,[spl124_8])],[avatar_definition])).
% 1.93/0.58 thf(f2329,plain,(
% 1.93/0.58 (((descar149487500hanges @ a @ ys)) != ((descar149487500hanges @ a @ (coeffs @ a @ g)))) | spl124_8),
% 1.93/0.58 inference(avatar_component_clause,[],[f2327])).
% 1.93/0.58 thf(f2330,plain,(
% 1.93/0.58 ~spl124_8),
% 1.93/0.58 inference(avatar_split_clause,[],[f2039,f2327])).
% 1.93/0.58 thf(f2457,definition,(
% 1.93/0.58 spl124_34 <=> (ys = ((append @ a @ (coeffs @ a @ g) @ (cons @ a @ zero_zero @ a @ nil @ a))))),
% 1.93/0.58 introduced(definition,[new_symbols(definition,[spl124_34])],[avatar_definition])).
% 1.93/0.58 thf(f2459,plain,(
% 1.93/0.58 (ys = ((append @ a @ (coeffs @ a @ g) @ (cons @ a @ zero_zero @ a @ nil @ a)))) | ~spl124_34),
% 1.93/0.58 inference(avatar_component_clause,[],[f2457])).
% 1.93/0.58 thf(f2460,plain,(
% 1.93/0.58 spl124_34),
% 1.93/0.58 inference(avatar_split_clause,[],[f1672,f2457])).
% 1.93/0.58 thf(f2552,plain,(
% 1.93/0.58 (((descar149487500hanges @ a @ (coeffs @ a @ g))) != ((descar149487500hanges @ a @ (append @ a @ (coeffs @ a @ g) @ (cons @ a @ zero_zero @ a @ nil @ a))))) | (spl124_8 | ~spl124_34)),
% 1.93/0.58 inference(superposition,[],[f2329,f2459])).
% 1.93/0.58 thf(f2554,definition,(
% 1.93/0.58 spl124_43 <=> (((descar149487500hanges @ a @ (coeffs @ a @ g))) = ((descar149487500hanges @ a @ (append @ a @ (coeffs @ a @ g) @ (cons @ a @ zero_zero @ a @ nil @ a)))))),
% 1.93/0.58 introduced(definition,[new_symbols(definition,[spl124_43])],[avatar_definition])).
% 1.93/0.58 thf(f2556,plain,(
% 1.93/0.58 (((descar149487500hanges @ a @ (coeffs @ a @ g))) != ((descar149487500hanges @ a @ (append @ a @ (coeffs @ a @ g) @ (cons @ a @ zero_zero @ a @ nil @ a))))) | spl124_43),
% 1.93/0.58 inference(avatar_component_clause,[],[f2554])).
% 1.93/0.58 thf(f2557,plain,(
% 1.93/0.58 ~spl124_43 | spl124_8 | ~spl124_34),
% 1.93/0.58 inference(avatar_split_clause,[],[f2552,f2457,f2327,f2554])).
% 1.93/0.58 thf(f5318,plain,(
% 1.93/0.58 ( ! [X0 : $tType,X1 : list @ X0] : ((zero @ X0 != $true) | (linordered_idom @ X0 != $true) | (((descar149487500hanges @ X0 @ (append @ X0 @ X1 @ (cons @ X0 @ zero_zero @ X0 @ nil @ X0)))) = ((descar149487500hanges @ X0 @ (coeffs @ X0 @ (poly2 @ X0 @ X1)))))) )),
% 1.93/0.58 inference(superposition,[],[f2203,f1839])).
% 1.93/0.58 thf(f5319,plain,(
% 1.93/0.58 ( ! [X0 : $tType,X1 : list @ X0] : ((((descar149487500hanges @ X0 @ (append @ X0 @ X1 @ (cons @ X0 @ zero_zero @ X0 @ nil @ X0)))) = ((descar149487500hanges @ X0 @ (coeffs @ X0 @ (poly2 @ X0 @ X1))))) | (linordered_idom @ X0 != $true)) )),
% 1.93/0.58 inference(forward_subsumption_resolution,[],[f5318,f1922])).
% 1.93/0.58 thf(f5504,plain,(
% 1.93/0.58 (linordered_idom @ a != $true) | (((descar149487500hanges @ a @ (coeffs @ a @ g))) != ((descar149487500hanges @ a @ (coeffs @ a @ (poly2 @ a @ (coeffs @ a @ g)))))) | spl124_43),
% 1.93/0.58 inference(superposition,[],[f2556,f5319])).
% 1.93/0.58 thf(f5524,plain,(
% 1.93/0.58 (linordered_idom @ a != $true) | spl124_43),
% 1.93/0.58 inference(forward_subsumption_resolution,[],[f5504,f2203])).
% 1.93/0.58 thf(f5532,plain,(
% 1.93/0.58 $false | (~spl124_6 | spl124_43)),
% 1.93/0.58 inference(forward_subsumption_resolution,[],[f5524,f2319])).
% 1.93/0.58 thf(f5533,plain,(
% 1.93/0.58 ~spl124_6 | spl124_43),
% 1.93/0.58 inference(avatar_contradiction_clause,[],[f5532])).
% 1.93/0.58 cnf(s6, plain, spl124_6, inference(sat_conversion,[],[f2320])).
% 1.93/0.58 cnf(s8, plain, ~spl124_8, inference(sat_conversion,[],[f2330])).
% 1.93/0.58 cnf(s35, plain, spl124_34, inference(sat_conversion,[],[f2460])).
% 1.93/0.58 cnf(s46, plain, spl124_8 | ~spl124_34 | ~spl124_43, inference(sat_conversion,[],[f2557])).
% 1.93/0.58 cnf(s138, plain, ~spl124_6 | spl124_43, inference(sat_conversion,[],[f5533])).
% 1.93/0.58 cnf(s163, plain, ~spl124_43, inference(rat,[],[s46,s35,s8])).
% 1.93/0.58 cnf(s164, plain, ~spl124_6, inference(rat,[],[s138,s163])).
% 1.93/0.58 cnf(s165, plain, $false, inference(rat,[],[s6,s164])).
% 1.93/0.58 thf(f5537,plain,(
% 1.93/0.58 $false),
% 1.93/0.58 inference(avatar_sat_refutation,[],[s165])).
% 1.93/0.58 % SZS output end Proof for theBenchmark
% 1.93/0.58 % (3312375)------------------------------
% 1.93/0.58 % (3312375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.58 % (3312375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.58 % (3312375)CaDiCaL version: 2.1.3
% 1.93/0.58 % (3312375)Termination reason: Refutation
% 1.93/0.58 % (3312375)Time elapsed: 0.244 s
% 1.93/0.58 % (3312375)Peak memory usage: 16 MB
% 1.93/0.58 % (3312375)Instructions burned: 445 (million)
% 1.93/0.58 % (3312367)Success in time 0.298 s
% 1.93/0.58 % Vampire exiting
%------------------------------------------------------------------------------