%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP182^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 08:08:42 AM UTC 2026
% Result : Theorem 0.58s 0.46s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP182^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n020.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 20:08:49 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.20/0.29 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
% 0.58/0.44 % (1526399)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.58/0.44 % (1526408)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4047914190:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.58/0.44 % (1526410)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.58/0.44 % (1526410)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
% 0.58/0.44 % (1526406)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2280407284:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.58/0.44 % (1526408)Instruction limit reached!
% 0.58/0.44 % (1526408)------------------------------
% 0.58/0.44 % (1526408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (1526408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (1526408)CaDiCaL version: 2.1.3
% 0.58/0.44 % (1526408)Termination reason: Instruction limit
% 0.58/0.44 % (1526408)Termination phase: Property scanning
% 0.58/0.44 % (1526408)Time elapsed: 0.007 s
% 0.58/0.44 % (1526408)Peak memory usage: 11 MB
% 0.58/0.44 % (1526405)lrs+10_16_si=on:nwc=1.5:random_seed=327653785:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.58/0.44 % (1526408)Instructions burned: 28 (million)
% 0.58/0.44 % (1526407)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=592867661: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)
% 0.58/0.44 % (1526409)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1271899240:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.58/0.44 % (1526410)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=232117697:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.58/0.44 % (1526406)Instruction limit reached!
% 0.58/0.44 % (1526406)------------------------------
% 0.58/0.44 % (1526406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (1526406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (1526406)CaDiCaL version: 2.1.3
% 0.58/0.44 % (1526406)Termination reason: Instruction limit
% 0.58/0.44 % (1526406)Termination phase: shuffling
% 0.58/0.44 % (1526406)Time elapsed: 0.003 s
% 0.58/0.44 % (1526406)Peak memory usage: 10 MB
% 0.58/0.44 % (1526406)Instructions burned: 4 (million)
% 0.58/0.44 % (1526405)Instruction limit reached!
% 0.58/0.44 % (1526405)------------------------------
% 0.58/0.44 % (1526405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (1526405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (1526405)CaDiCaL version: 2.1.3
% 0.58/0.44 % (1526405)Termination reason: Instruction limit
% 0.58/0.44 % (1526405)Termination phase: shuffling
% 0.58/0.44 % (1526405)Time elapsed: 0.009 s
% 0.58/0.44 % (1526405)Peak memory usage: 10 MB
% 0.58/0.44 % (1526405)Instructions burned: 19 (million)
% 0.58/0.44 % (1526415)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3474412146:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.58/0.44 % (1526415)Instruction limit reached!
% 0.58/0.44 % (1526415)------------------------------
% 0.58/0.44 % (1526415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (1526415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (1526415)CaDiCaL version: 2.1.3
% 0.58/0.44 % (1526415)Termination reason: Instruction limit
% 0.58/0.44 % (1526415)Termination phase: shuffling
% 0.58/0.44 % (1526415)Time elapsed: 0.003 s
% 0.58/0.44 % (1526415)Peak memory usage: 10 MB
% 0.58/0.44 % (1526415)Instructions burned: 11 (million)
% 0.58/0.44 % (1526404)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=619608426:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.58/0.44 % (1526418)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3836848223:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.58/0.46 % (1526421)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3652587860:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.58/0.46 % (1526418)Instruction limit reached!
% 0.58/0.46 % (1526418)------------------------------
% 0.58/0.46 % (1526418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (1526418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (1526418)CaDiCaL version: 2.1.3
% 0.58/0.46 % (1526418)Termination reason: Instruction limit
% 0.58/0.46 % (1526418)Termination phase: shuffling
% 0.58/0.46 % (1526418)Time elapsed: 0.003 s
% 0.58/0.46 % (1526418)Peak memory usage: 10 MB
% 0.58/0.46 % (1526418)Instructions burned: 6 (million)
% 0.58/0.46 % (1526419)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.58/0.46 % (1526421)Instruction limit reached!
% 0.58/0.46 % (1526421)------------------------------
% 0.58/0.46 % (1526421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (1526421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (1526421)CaDiCaL version: 2.1.3
% 0.58/0.46 % (1526421)Termination reason: Instruction limit
% 0.58/0.46 % (1526421)Termination phase: shuffling
% 0.58/0.46 % (1526421)Time elapsed: 0.003 s
% 0.58/0.46 % (1526421)Peak memory usage: 10 MB
% 0.58/0.46 % (1526421)Instructions burned: 12 (million)
% 0.58/0.46 % (1526419)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3767377250:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.58/0.46 % (1526419)Instruction limit reached!
% 0.58/0.46 % (1526419)------------------------------
% 0.58/0.46 % (1526419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (1526419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (1526419)CaDiCaL version: 2.1.3
% 0.58/0.46 % (1526419)Termination reason: Instruction limit
% 0.58/0.46 % (1526419)Termination phase: shuffling
% 0.58/0.46 % (1526419)Time elapsed: 0.008 s
% 0.58/0.46 % (1526419)Peak memory usage: 10 MB
% 0.58/0.46 % (1526419)Instructions burned: 16 (million)
% 0.58/0.46 % (1526409)Instruction limit reached!
% 0.58/0.46 % (1526409)------------------------------
% 0.58/0.46 % (1526409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (1526409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (1526409)CaDiCaL version: 2.1.3
% 0.58/0.46 % (1526409)Termination reason: Instruction limit
% 0.58/0.46 % (1526409)Termination phase: Preprocessing 3
% 0.58/0.46 % (1526409)Time elapsed: 0.038 s
% 0.58/0.46 % (1526409)Peak memory usage: 12 MB
% 0.58/0.46 % (1526409)Instructions burned: 76 (million)
% 0.58/0.46 % (1526427)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=3186154508:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.58/0.46 % (1526425)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
% 0.58/0.46 % (1526425)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.58/0.46 % (1526425)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1573894269:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.58/0.46 % (1526430)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.58/0.46 % (1526428)lrs+10_1_si=on:cs=on:random_seed=2513875765:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.58/0.46 % (1526425)Instruction limit reached!
% 0.58/0.46 % (1526425)------------------------------
% 0.58/0.46 % (1526425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (1526425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (1526425)CaDiCaL version: 2.1.3
% 0.58/0.46 % (1526425)Termination reason: Instruction limit
% 0.58/0.46 % (1526425)Termination phase: shuffling
% 0.58/0.46 % (1526425)Time elapsed: 0.014 s
% 0.58/0.46 % (1526425)Peak memory usage: 11 MB
% 0.58/0.46 % (1526425)Instructions burned: 30 (million)
% 0.58/0.46 % (1526430)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=3334431842:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.58/0.46 % (1526428)Instruction limit reached!
% 0.58/0.46 % (1526428)------------------------------
% 0.58/0.46 % (1526428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (1526428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (1526428)CaDiCaL version: 2.1.3
% 0.58/0.46 % (1526428)Termination reason: Instruction limit
% 0.58/0.46 % (1526428)Termination phase: shuffling
% 0.58/0.46 % (1526428)Time elapsed: 0.004 s
% 0.58/0.46 % (1526428)Peak memory usage: 10 MB
% 0.58/0.46 % (1526428)Instructions burned: 8 (million)
% 0.58/0.46 % (1526427)Instruction limit reached!
% 0.58/0.46 % (1526427)------------------------------
% 0.58/0.46 % (1526427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (1526427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (1526427)CaDiCaL version: 2.1.3
% 0.58/0.46 % (1526427)Termination reason: Instruction limit
% 0.58/0.46 % (1526427)Termination phase: Preprocessing 1
% 0.58/0.46 % (1526427)Time elapsed: 0.021 s
% 0.58/0.46 % (1526427)Peak memory usage: 11 MB
% 0.58/0.46 % (1526427)Instructions burned: 91 (million)
% 0.58/0.46 % (1526430)Instruction limit reached!
% 0.58/0.46 % (1526430)------------------------------
% 0.58/0.46 % (1526430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (1526430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (1526430)CaDiCaL version: 2.1.3
% 0.58/0.46 % (1526430)Termination reason: Instruction limit
% 0.58/0.46 % (1526430)Termination phase: shuffling
% 0.58/0.46 % (1526430)Time elapsed: 0.003 s
% 0.58/0.46 % (1526430)Peak memory usage: 10 MB
% 0.58/0.46 % (1526430)Instructions burned: 6 (million)
% 0.58/0.46 % (1526436)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=733548097:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.58/0.46 % (1526410)Instruction limit reached!
% 0.58/0.46 % (1526410)------------------------------
% 0.58/0.46 % (1526410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (1526410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (1526410)CaDiCaL version: 2.1.3
% 0.58/0.46 % (1526410)Termination reason: Instruction limit
% 0.58/0.46 % (1526410)Termination phase: Saturation
% 0.58/0.46 % (1526410)Time elapsed: 0.073 s
% 0.58/0.46 % (1526410)Peak memory usage: 14 MB
% 0.58/0.46 % (1526410)Instructions burned: 158 (million)
% 0.58/0.46 % (1526433)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3045888592:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.58/0.46 % (1526436)Instruction limit reached!
% 0.58/0.46 % (1526436)------------------------------
% 0.58/0.46 % (1526436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (1526436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (1526436)CaDiCaL version: 2.1.3
% 0.58/0.46 % (1526436)Termination reason: Instruction limit
% 0.58/0.46 % (1526436)Termination phase: Property scanning
% 0.58/0.46 % (1526436)Time elapsed: 0.007 s
% 0.58/0.46 % (1526436)Peak memory usage: 11 MB
% 0.58/0.46 % (1526436)Instructions burned: 26 (million)
% 0.58/0.46 % (1526435)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4162428506:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.58/0.46 % (1526437)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3605344404:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.58/0.46 % (1526437)Instruction limit reached!
% 0.58/0.46 % (1526437)------------------------------
% 0.58/0.46 % (1526437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (1526437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (1526437)CaDiCaL version: 2.1.3
% 0.58/0.46 % (1526437)Termination reason: Instruction limit
% 0.58/0.46 % (1526437)Termination phase: shuffling
% 0.58/0.46 % (1526437)Time elapsed: 0.007 s
% 0.58/0.46 % (1526437)Peak memory usage: 10 MB
% 0.58/0.46 % (1526437)Instructions burned: 14 (million)
% 0.58/0.46 % (1526441)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=363232191:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.58/0.46 % (1526439)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=529466954:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.58/0.46 % (1526441)Instruction limit reached!
% 0.58/0.46 % (1526441)------------------------------
% 0.58/0.46 % (1526441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (1526441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (1526441)CaDiCaL version: 2.1.3
% 0.58/0.46 % (1526441)Termination reason: Instruction limit
% 0.58/0.46 % (1526441)Termination phase: shuffling
% 0.58/0.46 % (1526441)Time elapsed: 0.004 s
% 0.58/0.46 % (1526441)Peak memory usage: 10 MB
% 0.58/0.46 % (1526441)Instructions burned: 16 (million)
% 0.58/0.46 % (1526433)Instruction limit reached!
% 0.58/0.46 % (1526433)------------------------------
% 0.58/0.46 % (1526433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (1526433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (1526433)CaDiCaL version: 2.1.3
% 0.58/0.46 % (1526433)Termination reason: Instruction limit
% 0.58/0.46 % (1526433)Termination phase: Property scanning
% 0.58/0.46 % (1526433)Time elapsed: 0.018 s
% 0.58/0.46 % (1526433)Peak memory usage: 11 MB
% 0.58/0.46 % (1526433)Instructions burned: 40 (million)
% 0.58/0.46 % (1526404)Instruction limit reached!
% 0.58/0.46 % (1526404)------------------------------
% 0.58/0.46 % (1526404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (1526404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (1526404)CaDiCaL version: 2.1.3
% 0.58/0.46 % (1526404)Termination reason: Instruction limit
% 0.58/0.46 % (1526404)Termination phase: Property scanning
% 0.58/0.46 % (1526404)Time elapsed: 0.078 s
% 0.58/0.46 % (1526404)Peak memory usage: 12 MB
% 0.58/0.46 % (1526404)Instructions burned: 88 (million)
% 0.58/0.46 % (1526407) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1526399-1526407"...
% 0.58/0.46 % (1526447)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4289139831:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.58/0.46 % (1526407)...printing done.
% 0.58/0.46 % (1526407)Refutation found. Thanks to Tanya!
% 0.58/0.46 % SZS status Theorem for theBenchmark
% 0.58/0.46 % SZS output start Proof for theBenchmark
% 0.58/0.46 thf(type_def_5, type, late_residual_Rep: $tType).
% 0.58/0.46 thf(type_def_6, type, late_subject_Rep: $tType).
% 0.58/0.46 thf(type_def_7, type, late_freeRes_Rep: $tType).
% 0.58/0.46 thf(type_def_8, type, late_residual: $tType).
% 0.58/0.46 thf(type_def_9, type, late_subject: $tType).
% 0.58/0.46 thf(type_def_10, type, late_freeRes: $tType).
% 0.58/0.46 thf(type_def_11, type, product_prod: ($tType * $tType) > $tType).
% 0.58/0.46 thf(type_def_12, type, pi_Rep: $tType).
% 0.58/0.46 thf(type_def_13, type, name: $tType).
% 0.58/0.46 thf(type_def_14, type, list: $tType > $tType).
% 0.58/0.46 thf(type_def_15, type, pi: $tType).
% 0.58/0.46 thf(type_def_16, type, set: $tType > $tType).
% 0.58/0.46 thf(type_def_17, type, sTfun: ($tType * $tType) > $tType).
% 0.58/0.46 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_1, type, fs_name: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_2, type, pt_name: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_5, type, cp_name_name: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_6, type, linorder: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_7, type, preorder: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_8, type, input: (name > name > pi > pi)).
% 0.58/0.46 thf(func_def_9, type, res: (name > pi > pi)).
% 0.58/0.46 thf(func_def_10, type, sum: (pi > pi > pi)).
% 0.58/0.46 thf(func_def_11, type, bNF_Greatest_shift: !>[X0: $tType, X1: $tType]:(((list @ X0 > X1) > X0 > list @ X0 > X1))).
% 0.58/0.46 thf(func_def_12, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.58/0.46 thf(func_def_13, type, late_OutputR: (name > name > late_freeRes)).
% 0.58/0.46 thf(func_def_14, type, late_BoundR: (late_subject > name > pi > late_residual)).
% 0.58/0.46 thf(func_def_15, type, late_FreeR: (late_freeRes > pi > late_residual)).
% 0.58/0.46 thf(func_def_16, type, late_r347633188eR_Rep: (late_freeRes > pi > late_residual_Rep)).
% 0.58/0.46 thf(func_def_17, type, late_BoundOutputS: (name > late_subject)).
% 0.58/0.46 thf(func_def_18, type, late_InputS: (name > late_subject)).
% 0.58/0.46 thf(func_def_19, type, late_transitions: (pi > late_residual > $o)).
% 0.58/0.46 thf(func_def_20, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.58/0.46 thf(func_def_21, type, nil: !>[X0: $tType]:(list @ X0)).
% 0.58/0.46 thf(func_def_22, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.58/0.46 thf(func_def_23, type, fresh: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 0.58/0.46 thf(func_def_24, type, perm: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X0 > X1 > X1))).
% 0.58/0.46 thf(func_def_25, type, supports: !>[X0: $tType, X1: $tType]:((set @ X0 > X1 > $o))).
% 0.58/0.46 thf(func_def_26, type, swap: !>[X0: $tType]:((product_prod @ X0 @ X0 > X0 > X0))).
% 0.58/0.46 thf(func_def_27, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.58/0.46 thf(func_def_28, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.58/0.46 thf(func_def_29, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.58/0.46 thf(func_def_30, type, eqvt: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 0.58/0.46 thf(func_def_31, type, id: !>[X0: $tType]:(set @ product_prod @ X0 @ X0)).
% 0.58/0.46 thf(func_def_32, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.58/0.46 thf(func_def_33, type, strong2129052853vative: (pi > pi > late_subject > name > set @ product_prod @ pi @ pi > $o)).
% 0.58/0.46 thf(func_def_34, type, strong743114133lation: (pi > set @ product_prod @ pi @ pi > pi > $o)).
% 0.58/0.46 thf(func_def_35, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.58/0.46 thf(func_def_36, type, p: pi).
% 0.58/0.46 thf(func_def_37, type, pq: pi).
% 0.58/0.46 thf(func_def_38, type, p2: pi).
% 0.58/0.46 thf(func_def_39, type, q: pi).
% 0.58/0.46 thf(func_def_40, type, rel: set @ product_prod @ pi @ pi).
% 0.58/0.46 thf(func_def_41, type, a: late_subject).
% 0.58/0.46 thf(func_def_42, type, aa: name).
% 0.58/0.46 thf(func_def_43, type, x: name).
% 0.58/0.46 thf(func_def_44, type, y: name).
% 0.58/0.46 thf(func_def_48, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.58/0.46 thf(func_def_49, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.58/0.46 thf(func_def_50, type, vIMP: ($o > $o > $o)).
% 0.58/0.46 thf(func_def_51, type, db0: !>[X0: $tType]:(X0)).
% 0.58/0.46 thf(func_def_52, type, db2: !>[X0: $tType]:(X0)).
% 0.58/0.46 thf(func_def_53, type, db1: !>[X0: $tType]:(X0)).
% 0.58/0.46 thf(func_def_54, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.58/0.46 thf(func_def_55, type, vAND: ($o > $o > $o)).
% 0.58/0.46 thf(func_def_56, type, vNOT: ($o > $o)).
% 0.58/0.46 thf(func_def_57, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.58/0.46 thf(func_def_58, type, db4: !>[X0: $tType]:(X0)).
% 0.58/0.46 thf(func_def_59, type, db5: !>[X0: $tType]:(X0)).
% 0.58/0.46 thf(func_def_60, type, db3: !>[X0: $tType]:(X0)).
% 0.58/0.46 thf(func_def_61, type, db6: !>[X0: $tType]:(X0)).
% 0.58/0.46 thf(func_def_62, type, vOR: ($o > $o > $o)).
% 0.58/0.46 thf(func_def_63, type, sP0: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > name > $o))).
% 0.58/0.46 thf(func_def_64, type, sP1: (name > pi > late_residual > $o)).
% 0.58/0.46 thf(func_def_65, type, sP2: (late_subject > name > pi > name > pi > $o)).
% 0.58/0.46 thf(func_def_66, type, sP3: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.58/0.46 thf(func_def_67, type, sP4: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.58/0.46 thf(func_def_68, type, sK5: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.58/0.46 thf(func_def_69, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X2 @ X0 > X1))).
% 0.58/0.46 thf(func_def_70, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X2 @ X0 > X4))).
% 0.58/0.46 thf(func_def_71, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X2 @ X0 > X5))).
% 0.58/0.46 thf(func_def_72, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X2 @ X0 > X6))).
% 0.58/0.46 thf(func_def_73, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X2 @ X0 > X0))).
% 0.58/0.46 thf(func_def_74, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X2 @ X0 > X2))).
% 0.58/0.46 thf(func_def_75, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X2 @ X0 > X3))).
% 0.58/0.46 thf(func_def_76, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ X3 > X3))).
% 0.58/0.46 thf(func_def_77, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ X3 > X4))).
% 0.58/0.46 thf(func_def_78, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ X3 > X0))).
% 0.58/0.46 thf(func_def_79, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ X3 > X2))).
% 0.58/0.46 thf(func_def_80, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ X3 > X1))).
% 0.58/0.46 thf(func_def_81, type, sK18: (pi > set @ product_prod @ pi @ pi > name > pi > late_subject > pi)).
% 0.58/0.46 thf(func_def_82, type, sK19: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_83, type, sK20: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_84, type, sK21: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_85, type, sK22: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_86, type, sK23: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_87, type, sK24: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_88, type, sK25: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_89, type, sK26: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_90, type, sK27: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_91, type, sK28: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_92, type, sK29: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_93, type, sK30: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_94, type, sK31: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_95, type, sK32: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_96, type, sK33: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 0.58/0.46 thf(func_def_97, type, sK34: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 0.58/0.46 thf(func_def_98, type, sK35: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > list @ X1))).
% 0.58/0.46 thf(func_def_99, type, sK36: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > list @ X0))).
% 0.58/0.46 thf(func_def_100, type, sK37: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > X0 > X1))).
% 0.58/0.46 thf(func_def_101, type, sK38: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > X0))).
% 0.58/0.46 thf(func_def_102, type, sK39: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > X0 > X1))).
% 0.58/0.46 thf(func_def_103, type, sK40: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > list @ X1))).
% 0.58/0.46 thf(func_def_104, type, sK41: !>[X0: $tType]:((list @ X0 > X0))).
% 0.58/0.46 thf(func_def_105, type, sK42: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.58/0.46 thf(func_def_106, type, sK43: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.58/0.46 thf(func_def_107, type, sK44: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.58/0.46 thf(func_def_108, type, sK45: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 0.58/0.46 thf(func_def_109, type, sK46: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 0.58/0.46 thf(func_def_110, type, sK47: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > name > pi))).
% 0.58/0.46 thf(func_def_111, type, sK48: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > name > name))).
% 0.58/0.46 thf(func_def_112, type, sK49: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > name > late_subject))).
% 0.58/0.46 thf(func_def_113, type, sK50: (set @ product_prod @ pi @ pi > name > pi > pi > pi)).
% 0.58/0.46 thf(func_def_114, type, sK51: (set @ product_prod @ pi @ pi > name > pi > pi > name)).
% 0.58/0.46 thf(func_def_115, type, sK52: (set @ product_prod @ pi @ pi > name > pi > pi > pi)).
% 0.58/0.46 thf(func_def_116, type, sK53: (set @ product_prod @ pi @ pi > name > pi > pi > late_freeRes)).
% 0.58/0.46 thf(func_def_117, type, sK54: !>[X0: $tType]:((list @ X0 > X0))).
% 0.58/0.46 thf(func_def_118, type, sK55: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.58/0.46 thf(func_def_119, type, sK56: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 0.58/0.46 thf(func_def_120, type, sK57: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_121, type, sK58: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 0.58/0.46 thf(func_def_122, type, sK59: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.58/0.46 thf(func_def_123, type, sK60: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 0.58/0.46 thf(func_def_124, type, sK61: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.58/0.46 thf(func_def_125, type, sK62: !>[X0: $tType]:((list @ X0 > X0))).
% 0.58/0.46 thf(func_def_126, type, sK63: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.58/0.46 thf(func_def_127, type, sK64: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0 > X1))).
% 0.58/0.46 thf(func_def_128, type, sK65: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > list @ X0))).
% 0.58/0.46 thf(func_def_129, type, sK66: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0 > X1))).
% 0.58/0.46 thf(func_def_130, type, sK67: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0))).
% 0.58/0.46 thf(func_def_131, type, sK68: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0))).
% 0.58/0.46 thf(func_def_132, type, sK69: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0))).
% 0.58/0.46 thf(func_def_133, type, sK70: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ list @ X0 > X0 > X1))).
% 0.58/0.46 thf(func_def_134, type, sK71: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ X0 > $o) > X1))).
% 0.58/0.46 thf(func_def_135, type, sK72: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_136, type, sK73: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ X0 > $o) > X4))).
% 0.58/0.46 thf(func_def_137, type, sK74: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ X0 > $o) > X2))).
% 0.58/0.46 thf(func_def_138, type, sK75: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ X0 > $o) > X3))).
% 0.58/0.46 thf(func_def_139, type, sK76: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 0.58/0.46 thf(func_def_140, type, sK77: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 0.58/0.46 thf(func_def_141, type, sK78: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 0.58/0.46 thf(func_def_142, type, sK79: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 0.58/0.46 thf(func_def_143, type, sK80: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 0.58/0.46 thf(func_def_144, type, sK81: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 0.58/0.46 thf(func_def_145, type, sK82: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 0.58/0.46 thf(func_def_146, type, sK83: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 0.58/0.46 thf(func_def_147, type, sK84: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 0.58/0.46 thf(func_def_148, type, sK85: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 0.58/0.46 thf(func_def_149, type, sK86: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 0.58/0.46 thf(func_def_150, type, sK87: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 0.58/0.46 thf(func_def_151, type, sK88: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 0.58/0.46 thf(func_def_152, type, sK89: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_153, type, sK90: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_154, type, sK91: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_155, type, sK92: !>[X0: $tType]:(((X0 > late_residual > $o) > name))).
% 0.58/0.46 thf(func_def_156, type, sK93: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 0.58/0.46 thf(func_def_157, type, sK94: !>[X0: $tType]:(((X0 > late_residual > $o) > late_subject))).
% 0.58/0.46 thf(func_def_158, type, sK95: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 0.58/0.46 thf(func_def_159, type, sK96: !>[X0: $tType]:(((X0 > late_residual > $o) > late_freeRes))).
% 0.58/0.46 thf(func_def_160, type, sK97: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 0.58/0.46 thf(func_def_161, type, sK98: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 0.58/0.46 thf(func_def_162, type, sK99: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_163, type, sK100: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 0.58/0.46 thf(func_def_164, type, sK101: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_165, type, sK102: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.58/0.46 thf(func_def_166, type, sK103: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 0.58/0.46 thf(func_def_167, type, sK104: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 0.58/0.46 thf(func_def_168, type, sK105: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.58/0.46 thf(func_def_169, type, sK106: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 0.58/0.46 thf(func_def_170, type, sK107: (pi > (pi > $o) > late_freeRes > name > pi)).
% 0.58/0.46 thf(func_def_171, type, sK108: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.58/0.46 thf(func_def_172, type, sK109: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.58/0.46 thf(func_def_173, type, sK110: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_174, type, sK111: ((late_residual > $o) > late_freeRes)).
% 0.58/0.46 thf(func_def_175, type, sK112: ((late_residual > $o) > pi)).
% 0.58/0.46 thf(func_def_176, type, sK113: ((late_residual > $o) > late_subject)).
% 0.58/0.46 thf(func_def_177, type, sK114: ((late_residual > $o) > pi)).
% 0.58/0.46 thf(func_def_178, type, sK115: ((late_residual > $o) > name)).
% 0.58/0.46 thf(func_def_179, type, sK116: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_180, type, sK117: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_181, type, sK118: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_182, type, sK119: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_183, type, sK120: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.58/0.46 thf(func_def_184, type, sK121: (name > pi > late_residual > name)).
% 0.58/0.46 thf(func_def_185, type, sK122: (name > pi > late_residual > pi)).
% 0.58/0.46 thf(func_def_186, type, sK123: (name > pi > late_residual > name)).
% 0.58/0.46 thf(func_def_187, type, sK124: (name > pi > late_residual > late_subject)).
% 0.58/0.46 thf(func_def_188, type, sK125: (name > pi > late_residual > pi)).
% 0.58/0.46 thf(func_def_189, type, sK126: (late_residual > pi > name > pi)).
% 0.58/0.46 thf(func_def_190, type, sK127: (late_residual > pi > name > name)).
% 0.58/0.46 thf(func_def_191, type, sK128: (late_residual > pi > name > name)).
% 0.58/0.46 thf(func_def_192, type, sK129: (late_residual > pi > name > pi)).
% 0.58/0.46 thf(func_def_193, type, sK130: (late_residual > pi > name > pi)).
% 0.58/0.46 thf(func_def_194, type, sK131: (late_residual > pi > name > late_freeRes)).
% 0.58/0.46 thf(func_def_195, type, sK132: (late_residual > pi > name > pi)).
% 0.58/0.46 thf(func_def_196, type, sK133: (late_residual > pi > name > name)).
% 0.58/0.46 thf(func_def_197, type, sK134: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X2 @ X0 > X0))).
% 0.58/0.46 thf(func_def_198, type, sK135: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X2 @ X0 > X2))).
% 0.58/0.46 thf(func_def_199, type, sK136: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X2 @ X0 > X1))).
% 0.58/0.46 thf(func_def_200, type, sK137: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_201, type, sK138: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_202, type, sK139: (pi > late_freeRes > pi > set @ product_prod @ pi @ pi > pi)).
% 0.58/0.46 thf(func_def_203, type, sK140: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.58/0.46 thf(func_def_204, type, sK141: !>[X0: $tType]:((list @ X0 > X0))).
% 0.58/0.46 thf(func_def_205, type, sK142: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_206, type, sK143: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_207, type, sK144: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_208, type, sK145: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0 > X1))).
% 0.58/0.46 thf(func_def_209, type, sK146: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_210, type, sK147: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_211, type, sK148: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0 > X1))).
% 0.58/0.46 thf(func_def_212, type, sK149: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_213, type, sK150: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0 > X1))).
% 0.58/0.46 thf(func_def_214, type, sK151: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.58/0.46 thf(func_def_215, type, sK152: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.58/0.46 thf(func_def_216, type, sK153: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ X0 > $o) > X3))).
% 0.58/0.46 thf(func_def_217, type, sK154: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ X0 > $o) > X5))).
% 0.58/0.46 thf(func_def_218, type, sK155: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_219, type, sK156: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ X0 > $o) > X4))).
% 0.58/0.46 thf(func_def_220, type, sK157: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ X0 > $o) > X1))).
% 0.58/0.46 thf(func_def_221, type, sK158: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ X0 > $o) > X2))).
% 0.58/0.46 thf(func_def_222, type, sK159: (late_subject > name > pi > name > pi > name)).
% 0.58/0.46 thf(func_def_223, type, sK160: (late_subject > name > pi > name > pi > late_subject)).
% 0.58/0.46 thf(func_def_224, type, sK161: (late_subject > name > pi > name > pi > pi)).
% 0.58/0.46 thf(func_def_225, type, sK162: (late_subject > name > pi > name > pi > name)).
% 0.58/0.46 thf(func_def_226, type, sK163: (late_subject > name > pi > name > pi > pi)).
% 0.58/0.46 thf(func_def_227, type, sK164: (pi > name > name > pi > late_subject > name)).
% 0.58/0.46 thf(func_def_228, type, sK165: (pi > name > name > pi > late_subject > pi)).
% 0.58/0.46 thf(func_def_229, type, sK166: (pi > name > name > pi > late_subject > name)).
% 0.58/0.46 thf(func_def_230, type, sK167: (pi > name > name > pi > late_subject > pi)).
% 0.58/0.46 thf(func_def_231, type, sK168: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X5 > X3))).
% 0.58/0.46 thf(func_def_232, type, sK169: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X5 > X5))).
% 0.58/0.46 thf(func_def_233, type, sK170: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X5 > X1))).
% 0.58/0.46 thf(func_def_234, type, sK171: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X5 > X4))).
% 0.58/0.46 thf(func_def_235, type, sK172: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X5 > X2))).
% 0.58/0.46 thf(func_def_236, type, sK173: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X5 > X0))).
% 0.58/0.46 thf(func_def_237, type, sK174: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_238, type, sK175: (pi > set @ product_prod @ pi @ pi > pi > pi)).
% 0.58/0.46 thf(func_def_239, type, sK176: (pi > set @ product_prod @ pi @ pi > pi > name)).
% 0.58/0.46 thf(func_def_240, type, sK177: (pi > set @ product_prod @ pi @ pi > pi > late_subject)).
% 0.58/0.46 thf(func_def_241, type, sK178: (pi > set @ product_prod @ pi @ pi > pi > pi)).
% 0.58/0.46 thf(func_def_242, type, sK179: (pi > set @ product_prod @ pi @ pi > pi > late_freeRes)).
% 0.58/0.46 thf(func_def_243, type, sK180: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X0))).
% 0.58/0.46 thf(func_def_244, type, sK181: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X2))).
% 0.58/0.46 thf(func_def_245, type, sK182: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X1))).
% 0.58/0.46 thf(func_def_246, type, sK183: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_247, type, sK184: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_248, type, sK185: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_249, type, sK186: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_250, type, sK187: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X6 @ X3 > $o) > X0))).
% 0.58/0.46 thf(func_def_251, type, sK188: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X6 @ X3 > $o) > X6))).
% 0.58/0.46 thf(func_def_252, type, sK189: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X6 @ X3 > $o) > X3))).
% 0.58/0.46 thf(func_def_253, type, sK190: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X6 @ X3 > $o) > X2))).
% 0.58/0.46 thf(func_def_254, type, sK191: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X6 @ X3 > $o) > X1))).
% 0.58/0.46 thf(func_def_255, type, sK192: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X6 @ X3 > $o) > X4))).
% 0.58/0.46 thf(func_def_256, type, sK193: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X6 @ X3 > $o) > X5))).
% 0.58/0.46 thf(func_def_257, type, sK194: (pi > name > late_subject > (late_subject > pi > $o) > name > pi)).
% 0.58/0.46 thf(func_def_258, type, sK195: (pi > name > late_subject > (late_subject > pi > $o) > name > name)).
% 0.58/0.46 thf(func_def_259, type, sK196: (pi > name > late_subject > (late_subject > pi > $o) > name > pi)).
% 0.58/0.46 thf(func_def_260, type, sK197: !>[X0: $tType]:((X0 > name))).
% 0.58/0.46 thf(func_def_261, type, sK198: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.58/0.46 thf(func_def_262, type, sK199: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 0.58/0.46 thf(func_def_263, type, sK200: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 0.58/0.46 thf(func_def_264, type, sK201: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.58/0.46 thf(func_def_265, type, sK202: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.58/0.46 thf(func_def_266, type, sK203: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.58/0.46 thf(func_def_267, type, sK204: !>[X0: $tType]:(((X0 > late_residual > $o) > late_subject))).
% 0.58/0.46 thf(func_def_268, type, sK205: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 0.58/0.46 thf(func_def_269, type, sK206: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 0.58/0.46 thf(func_def_270, type, sK207: !>[X0: $tType]:(((X0 > late_residual > $o) > name))).
% 0.58/0.46 thf(func_def_271, type, sK208: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 0.58/0.46 thf(func_def_272, type, sK209: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 0.58/0.46 thf(func_def_273, type, sK210: !>[X0: $tType]:(((X0 > late_residual > $o) > late_freeRes))).
% 0.58/0.46 thf(func_def_274, type, sK211: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 0.58/0.46 thf(func_def_275, type, sK212: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 0.58/0.46 thf(func_def_276, type, sK213: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 0.58/0.46 thf(func_def_277, type, sK214: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 0.58/0.46 thf(func_def_278, type, sK215: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.58/0.46 thf(func_def_279, type, sK216: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_280, type, sK217: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_281, type, sK218: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.58/0.46 thf(func_def_282, type, sK219: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X2))).
% 0.58/0.46 thf(func_def_283, type, sK220: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X1))).
% 0.58/0.46 thf(func_def_284, type, sK221: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X3))).
% 0.58/0.46 thf(func_def_285, type, sK222: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X0))).
% 0.58/0.46 thf(func_def_286, type, sK223: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 0.58/0.46 thf(func_def_287, type, sK224: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 0.58/0.46 thf(func_def_288, type, sK225: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 0.58/0.46 thf(func_def_289, type, sK226: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 0.58/0.46 thf(func_def_290, type, sK227: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 0.58/0.46 thf(func_def_291, type, sK228: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 0.58/0.46 thf(func_def_292, type, sK229: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_293, type, sK230: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_294, type, sK231: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_295, type, sK232: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.58/0.46 thf(func_def_296, type, sK233: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_297, type, sK234: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.58/0.46 thf(func_def_298, type, sK235: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.58/0.46 thf(func_def_299, type, sK236: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.58/0.46 thf(func_def_300, type, sK237: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ X3 > X1))).
% 0.58/0.46 thf(func_def_301, type, sK238: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ X3 > X0))).
% 0.58/0.46 thf(func_def_302, type, sK239: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ X3 > X3))).
% 0.58/0.46 thf(func_def_303, type, sK240: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ X3 > X2))).
% 0.58/0.46 thf(func_def_304, type, sK241: (pi > name > late_freeRes > pi > late_freeRes)).
% 0.58/0.46 thf(func_def_305, type, sK242: (pi > name > late_freeRes > pi > pi)).
% 0.58/0.46 thf(func_def_306, type, sK243: (pi > name > late_freeRes > pi > pi)).
% 0.58/0.46 thf(func_def_307, type, sK244: (pi > name > late_freeRes > pi > name)).
% 0.58/0.46 thf(func_def_308, type, sK245: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X0 @ X1 > X1))).
% 0.58/0.46 thf(func_def_309, type, sK246: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X0 @ X1 > X0))).
% 0.58/0.46 thf(func_def_310, type, sK247: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_311, type, sK248: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.58/0.46 thf(func_def_312, type, sK249: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_313, type, sK250: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_314, type, sK251: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 0.58/0.46 thf(func_def_315, type, sK252: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.58/0.46 thf(func_def_316, type, sK253: !>[X0: $tType]:((product_prod @ X0 @ X0 > X0))).
% 0.58/0.46 thf(func_def_317, type, sK254: !>[X0: $tType]:((list @ X0 > X0))).
% 0.58/0.46 thf(func_def_318, type, sK255: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.58/0.46 thf(func_def_319, type, sK256: !>[X0: $tType]:((list @ X0 > X0))).
% 0.58/0.46 thf(func_def_320, type, sK257: !>[X0: $tType]:((list @ X0 > X0))).
% 0.58/0.46 thf(func_def_321, type, sK258: !>[X0: $tType]:((set @ product_prod @ pi @ pi > pi > pi > X0 > pi))).
% 0.58/0.46 thf(func_def_322, type, sK259: !>[X0: $tType]:((set @ product_prod @ pi @ pi > pi > pi > X0 > name))).
% 0.58/0.46 thf(func_def_323, type, sK260: !>[X0: $tType]:((set @ product_prod @ pi @ pi > pi > pi > X0 > late_subject))).
% 0.58/0.46 thf(func_def_324, type, sK261: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 0.58/0.46 thf(func_def_325, type, sK262: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 0.58/0.46 thf(func_def_327, type, inv_late_BoundOutputS_264: (late_subject > name)).
% 0.58/0.46 thf(func_def_328, type, inv_perm_265: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X0 > X1 > X1))).
% 0.58/0.46 thf(f1,axiom,(
% 0.58/0.46 (ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ rel)),
% 0.58/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_Id)).
% 0.58/0.46 thf(f95,axiom,(
% 0.58/0.46 ! [X2 : late_subject,X0 : set @ product_prod @ pi @ pi,X1 : pi,X3 : name] : ((ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ X0) => (strong2129052853vative @ X1 @ X1 @ X2 @ X3 @ X0))),
% 0.58/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_derivativeReflexive)).
% 0.58/0.46 thf(f305,conjecture,(
% 0.58/0.46 (strong2129052853vative @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (late_BoundOutputS @ aa) @ y @ rel)),
% 0.58/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.58/0.46 thf(f306,negated_conjecture,(
% 0.58/0.46 ~(strong2129052853vative @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (late_BoundOutputS @ aa) @ y @ rel)),
% 0.58/0.46 inference(negated_conjecture,[status(cth)],[f305])).
% 0.58/0.46 thf(f503,plain,(
% 0.58/0.46 ! [X0 : late_subject,X1 : set @ product_prod @ pi @ pi,X2 : pi,X3 : name] : ((ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ X1) => (strong2129052853vative @ X2 @ X2 @ X0 @ X3 @ X1))),
% 0.58/0.46 inference(rectify,[],[f95])).
% 0.58/0.46 thf(f504,plain,(
% 0.58/0.46 ! [X2 : pi,X3 : name,X1 : set @ product_prod @ pi @ pi,X0 : late_subject] : ((((ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ X1)) = $true) => (((strong2129052853vative @ X2 @ X2 @ X0 @ X3 @ X1)) = $true))),
% 0.58/0.46 inference(fool_elimination,[],[f503])).
% 0.58/0.46 thf(f735,plain,(
% 0.58/0.46 (ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ rel)),
% 0.58/0.46 inference(rectify,[],[f1])).
% 0.58/0.46 thf(f736,plain,(
% 0.58/0.46 (((ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ rel)) = $true)),
% 0.58/0.46 inference(fool_elimination,[],[f735])).
% 0.58/0.46 thf(f776,plain,(
% 0.58/0.46 ~(strong2129052853vative @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (late_BoundOutputS @ aa) @ y @ rel)),
% 0.58/0.46 inference(rectify,[],[f306])).
% 0.58/0.46 thf(f777,plain,(
% 0.58/0.46 ~ (((strong2129052853vative @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (late_BoundOutputS @ aa) @ y @ rel)) = $true)),
% 0.58/0.46 inference(fool_elimination,[],[f776])).
% 0.58/0.46 thf(f853,plain,(
% 0.58/0.46 (((strong2129052853vative @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (late_BoundOutputS @ aa) @ y @ rel)) != $true)),
% 0.58/0.46 inference(flattening,[],[f777])).
% 0.58/0.46 thf(f1008,plain,(
% 0.58/0.46 ! [X2 : pi,X0 : late_subject,X3 : name,X1 : set @ product_prod @ pi @ pi] : ((((strong2129052853vative @ X2 @ X2 @ X0 @ X3 @ X1)) = $true) | (((ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ X1)) != $true))),
% 0.58/0.46 inference(ennf_transformation,[],[f504])).
% 0.58/0.46 thf(f1298,plain,(
% 0.58/0.46 ! [X0 : pi,X1 : late_subject,X2 : name,X3 : set @ product_prod @ pi @ pi] : (($true = ((strong2129052853vative @ X0 @ X0 @ X1 @ X2 @ X3))) | (((ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ X3)) != $true))),
% 0.58/0.46 inference(rectify,[],[f1008])).
% 0.58/0.46 thf(f1656,plain,(
% 0.58/0.46 (((strong2129052853vative @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (late_BoundOutputS @ aa) @ y @ rel)) != $true)),
% 0.58/0.46 inference(cnf_transformation,[],[f853])).
% 0.58/0.46 thf(f1692,plain,(
% 0.58/0.46 ( ! [X2 : name,X3 : set @ product_prod @ pi @ pi,X0 : pi,X1 : late_subject] : (($true = ((strong2129052853vative @ X0 @ X0 @ X1 @ X2 @ X3))) | (((ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ X3)) != $true)) )),
% 0.58/0.46 inference(cnf_transformation,[],[f1298])).
% 0.58/0.46 thf(f1805,plain,(
% 0.58/0.46 (((ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ rel)) = $true)),
% 0.58/0.46 inference(cnf_transformation,[],[f736])).
% 0.58/0.46 thf(f2095,definition,(
% 0.58/0.46 spl263_27 <=> (((strong2129052853vative @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (late_BoundOutputS @ aa) @ y @ rel)) = $true)),
% 0.58/0.46 introduced(definition,[new_symbols(definition,[spl263_27])],[avatar_definition])).
% 0.58/0.46 thf(f2097,plain,(
% 0.58/0.46 (((strong2129052853vative @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (perm @ name @ pi @ (cons @ product_prod @ name @ name @ (product_Pair @ name @ name @ y @ x) @ nil @ product_prod @ name @ name) @ p2) @ (late_BoundOutputS @ aa) @ y @ rel)) != $true) | spl263_27),
% 0.58/0.46 inference(avatar_component_clause,[],[f2095])).
% 0.58/0.46 thf(f2098,plain,(
% 0.58/0.46 ~spl263_27),
% 0.58/0.46 inference(avatar_split_clause,[],[f1656,f2095])).
% 0.58/0.46 thf(f2130,definition,(
% 0.58/0.46 spl263_34 <=> (((ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ rel)) = $true)),
% 0.58/0.46 introduced(definition,[new_symbols(definition,[spl263_34])],[avatar_definition])).
% 0.58/0.46 thf(f2132,plain,(
% 0.58/0.46 (((ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ rel)) = $true) | ~spl263_34),
% 0.58/0.46 inference(avatar_component_clause,[],[f2130])).
% 0.58/0.46 thf(f2133,plain,(
% 0.58/0.46 spl263_34),
% 0.58/0.46 inference(avatar_split_clause,[],[f1805,f2130])).
% 0.58/0.46 thf(f2336,plain,(
% 0.58/0.46 ($true != $true) | (((ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ rel)) != $true) | spl263_27),
% 0.58/0.46 inference(superposition,[],[f2097,f1692])).
% 0.58/0.46 thf(f2337,plain,(
% 0.58/0.46 (((ord_less_eq @ set @ product_prod @ pi @ pi @ id @ pi @ rel)) != $true) | spl263_27),
% 0.58/0.46 inference(trivial_inequality_removal,[],[f2336])).
% 0.58/0.46 thf(f2338,plain,(
% 0.58/0.46 $false | (spl263_27 | ~spl263_34)),
% 0.58/0.46 inference(forward_subsumption_resolution,[],[f2337,f2132])).
% 0.58/0.46 thf(f2339,plain,(
% 0.58/0.46 spl263_27 | ~spl263_34),
% 0.58/0.46 inference(avatar_contradiction_clause,[],[f2338])).
% 0.58/0.46 cnf(s27, plain, ~spl263_27, inference(sat_conversion,[],[f2098])).
% 0.58/0.46 cnf(s34, plain, spl263_34, inference(sat_conversion,[],[f2133])).
% 0.58/0.46 cnf(s55, plain, spl263_27 | ~spl263_34, inference(sat_conversion,[],[f2339])).
% 0.58/0.46 cnf(s56, plain, spl263_27, inference(rat,[],[s55,s34])).
% 0.58/0.46 cnf(s57, plain, $false, inference(rat,[],[s27,s56])).
% 0.58/0.46 thf(f2340,plain,(
% 0.58/0.46 $false),
% 0.58/0.46 inference(avatar_sat_refutation,[],[s57])).
% 0.58/0.46 % SZS output end Proof for theBenchmark
% 0.58/0.46 % (1526407)------------------------------
% 0.58/0.46 % (1526407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (1526407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (1526407)CaDiCaL version: 2.1.3
% 0.58/0.46 % (1526407)Termination reason: Refutation
% 0.58/0.46 % (1526407)Time elapsed: 0.106 s
% 0.58/0.46 % (1526407)Peak memory usage: 15 MB
% 0.58/0.46 % (1526407)Instructions burned: 209 (million)
% 0.58/0.46 % (1526399)Success in time 0.161 s
% 0.58/0.46 % Vampire exiting
%------------------------------------------------------------------------------