%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT136^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 07:48:24 AM UTC 2026
% Result : Theorem 2.03s 0.59s
% Output : Refutation 2.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT136^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n014.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 17:59:15 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.22/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.41 % (3006351)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.55/0.41 % (3006361)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4177508620:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.55/0.41 % (3006362)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.55/0.41 % (3006362)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
% 0.55/0.41 % (3006356)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=929512375:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.55/0.41 % (3006357)lrs+10_16_si=on:nwc=1.5:random_seed=2537769874:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.55/0.41 % (3006358)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3419011995:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.55/0.41 % (3006360)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1791840135:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.55/0.41 % (3006362)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=3977287027:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.55/0.41 % (3006359)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=2680451275: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)
% 0.55/0.41 % (3006358)Instruction limit reached!
% 0.55/0.41 % (3006358)------------------------------
% 0.55/0.41 % (3006358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.41 % (3006358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.41 % (3006358)CaDiCaL version: 2.1.3
% 0.55/0.41 % (3006358)Termination reason: Instruction limit
% 0.55/0.41 % (3006358)Termination phase: shuffling
% 0.55/0.41 % (3006358)Time elapsed: 0.003 s
% 0.55/0.41 % (3006358)Peak memory usage: 10 MB
% 0.55/0.41 % (3006358)Instructions burned: 6 (million)
% 0.55/0.41 % (3006357)Instruction limit reached!
% 0.55/0.41 % (3006357)------------------------------
% 0.55/0.41 % (3006357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.41 % (3006357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.41 % (3006357)CaDiCaL version: 2.1.3
% 0.55/0.41 % (3006357)Termination reason: Instruction limit
% 0.55/0.41 % (3006357)Termination phase: Property scanning
% 0.55/0.41 % (3006357)Time elapsed: 0.009 s
% 0.55/0.41 % (3006357)Peak memory usage: 10 MB
% 0.55/0.41 % (3006357)Instructions burned: 18 (million)
% 0.55/0.41 % (3006360)Instruction limit reached!
% 0.55/0.41 % (3006360)------------------------------
% 0.55/0.41 % (3006360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.41 % (3006360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.41 % (3006360)CaDiCaL version: 2.1.3
% 0.55/0.41 % (3006360)Termination reason: Instruction limit
% 0.55/0.41 % (3006360)Termination phase: Preprocessing 1
% 0.55/0.41 % (3006360)Time elapsed: 0.011 s
% 0.55/0.41 % (3006360)Peak memory usage: 10 MB
% 0.55/0.41 % (3006360)Instructions burned: 25 (million)
% 0.55/0.41 % (3006361)Instruction limit reached!
% 0.55/0.41 % (3006361)------------------------------
% 0.55/0.41 % (3006361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.41 % (3006361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.41 % (3006361)CaDiCaL version: 2.1.3
% 0.55/0.41 % (3006361)Termination reason: Instruction limit
% 0.55/0.41 % (3006361)Termination phase: Saturation
% 0.55/0.41 % (3006361)Time elapsed: 0.020 s
% 0.55/0.41 % (3006361)Peak memory usage: 12 MB
% 0.55/0.41 % (3006361)Instructions burned: 77 (million)
% 0.55/0.41 % (3006372)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.55/0.41 % (3006372)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3110296376:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.55/0.44 % (3006370)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3617140995:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.55/0.44 % (3006372)Instruction limit reached!
% 0.55/0.44 % (3006372)------------------------------
% 0.55/0.44 % (3006372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.44 % (3006372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.44 % (3006372)CaDiCaL version: 2.1.3
% 0.55/0.44 % (3006372)Termination reason: Instruction limit
% 0.55/0.44 % (3006372)Termination phase: shuffling
% 0.55/0.44 % (3006372)Time elapsed: 0.002 s
% 0.55/0.44 % (3006372)Peak memory usage: 10 MB
% 0.55/0.44 % (3006372)Instructions burned: 8 (million)
% 0.55/0.44 % (3006371)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4197263095:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.55/0.44 % (3006370)Instruction limit reached!
% 0.55/0.44 % (3006370)------------------------------
% 0.55/0.44 % (3006370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.44 % (3006370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.44 % (3006370)CaDiCaL version: 2.1.3
% 0.55/0.44 % (3006370)Termination reason: Instruction limit
% 0.55/0.44 % (3006370)Termination phase: shuffling
% 0.55/0.44 % (3006370)Time elapsed: 0.002 s
% 0.55/0.44 % (3006370)Peak memory usage: 10 MB
% 0.55/0.44 % (3006370)Instructions burned: 2 (million)
% 0.55/0.44 % (3006371)Instruction limit reached!
% 0.55/0.44 % (3006371)------------------------------
% 0.55/0.44 % (3006371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.44 % (3006371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.44 % (3006371)CaDiCaL version: 2.1.3
% 0.55/0.44 % (3006371)Termination reason: Instruction limit
% 0.55/0.44 % (3006371)Termination phase: shuffling
% 0.55/0.44 % (3006371)Time elapsed: 0.004 s
% 0.55/0.44 % (3006371)Peak memory usage: 10 MB
% 0.55/0.44 % (3006371)Instructions burned: 7 (million)
% 0.55/0.44 % (3006373)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3294034953:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.55/0.44 % (3006376)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
% 0.55/0.44 % (3006376)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.55/0.44 % (3006376)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3158719839:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.55/0.44 % (3006373)Instruction limit reached!
% 0.55/0.44 % (3006373)------------------------------
% 0.55/0.44 % (3006373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.44 % (3006373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.44 % (3006373)CaDiCaL version: 2.1.3
% 0.55/0.44 % (3006373)Termination reason: Instruction limit
% 0.55/0.44 % (3006373)Termination phase: shuffling
% 0.55/0.44 % (3006373)Time elapsed: 0.007 s
% 0.55/0.44 % (3006373)Peak memory usage: 10 MB
% 0.55/0.44 % (3006373)Instructions burned: 14 (million)
% 0.55/0.44 % (3006376)Instruction limit reached!
% 0.55/0.44 % (3006376)------------------------------
% 0.55/0.44 % (3006376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.44 % (3006376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.44 % (3006376)CaDiCaL version: 2.1.3
% 0.55/0.44 % (3006376)Termination reason: Instruction limit
% 0.55/0.44 % (3006376)Termination phase: Property scanning
% 0.55/0.44 % (3006376)Time elapsed: 0.007 s
% 0.55/0.44 % (3006376)Peak memory usage: 10 MB
% 0.55/0.44 % (3006376)Instructions burned: 28 (million)
% 0.55/0.44 % (3006378)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=3409299851:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.55/0.44 % (3006380)lrs+10_1_si=on:cs=on:random_seed=3630978649:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.55/0.44 % (3006383)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=9435406:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.55/0.47 % (3006382)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.55/0.47 % (3006380)Instruction limit reached!
% 0.55/0.47 % (3006380)------------------------------
% 0.55/0.47 % (3006380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.47 % (3006380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.47 % (3006380)CaDiCaL version: 2.1.3
% 0.55/0.47 % (3006380)Termination reason: Instruction limit
% 0.55/0.47 % (3006380)Termination phase: shuffling
% 0.55/0.47 % (3006380)Time elapsed: 0.004 s
% 0.55/0.47 % (3006380)Peak memory usage: 10 MB
% 0.55/0.47 % (3006380)Instructions burned: 8 (million)
% 0.55/0.47 % (3006382)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=3491462731:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.55/0.47 % (3006382)Instruction limit reached!
% 0.55/0.47 % (3006382)------------------------------
% 0.55/0.47 % (3006382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.47 % (3006382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.47 % (3006382)CaDiCaL version: 2.1.3
% 0.55/0.47 % (3006382)Termination reason: Instruction limit
% 0.55/0.47 % (3006382)Termination phase: shuffling
% 0.55/0.47 % (3006382)Time elapsed: 0.002 s
% 0.55/0.47 % (3006382)Peak memory usage: 10 MB
% 0.55/0.47 % (3006382)Instructions burned: 3 (million)
% 0.55/0.47 % (3006383)Instruction limit reached!
% 0.55/0.47 % (3006383)------------------------------
% 0.55/0.47 % (3006383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.47 % (3006383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.47 % (3006383)CaDiCaL version: 2.1.3
% 0.55/0.47 % (3006383)Termination reason: Instruction limit
% 0.55/0.47 % (3006383)Termination phase: Property scanning
% 0.55/0.47 % (3006383)Time elapsed: 0.011 s
% 0.55/0.47 % (3006383)Peak memory usage: 11 MB
% 0.55/0.47 % (3006383)Instructions burned: 42 (million)
% 0.55/0.47 % (3006387)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3291730426:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.55/0.47 % (3006356)Instruction limit reached!
% 0.55/0.47 % (3006356)------------------------------
% 0.55/0.47 % (3006356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.47 % (3006356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.47 % (3006356)CaDiCaL version: 2.1.3
% 0.55/0.47 % (3006356)Termination reason: Instruction limit
% 0.55/0.47 % (3006356)Termination phase: Saturation
% 0.55/0.47 % (3006356)Time elapsed: 0.073 s
% 0.55/0.47 % (3006356)Peak memory usage: 13 MB
% 0.55/0.47 % (3006356)Instructions burned: 87 (million)
% 0.55/0.47 % (3006390)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=578449099:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.55/0.47 % (3006390)Instruction limit reached!
% 0.55/0.47 % (3006390)------------------------------
% 0.55/0.47 % (3006390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.47 % (3006390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.47 % (3006390)CaDiCaL version: 2.1.3
% 0.55/0.47 % (3006390)Termination reason: Instruction limit
% 0.55/0.47 % (3006390)Termination phase: Property scanning
% 0.55/0.47 % (3006390)Time elapsed: 0.003 s
% 0.55/0.47 % (3006390)Peak memory usage: 10 MB
% 0.55/0.47 % (3006390)Instructions burned: 14 (million)
% 0.55/0.47 % (3006389)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2809096684:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.55/0.47 % (3006362)Instruction limit reached!
% 0.55/0.47 % (3006362)------------------------------
% 0.55/0.47 % (3006362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.47 % (3006362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.47 % (3006362)CaDiCaL version: 2.1.3
% 0.55/0.47 % (3006362)Termination reason: Instruction limit
% 0.55/0.47 % (3006362)Termination phase: Saturation
% 1.32/0.51 % (3006362)Time elapsed: 0.079 s
% 1.32/0.51 % (3006362)Peak memory usage: 13 MB
% 1.32/0.51 % (3006362)Instructions burned: 157 (million)
% 1.32/0.51 % (3006378)Instruction limit reached!
% 1.32/0.51 % (3006378)------------------------------
% 1.32/0.51 % (3006378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.51 % (3006378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.51 % (3006378)CaDiCaL version: 2.1.3
% 1.32/0.51 % (3006378)Termination reason: Instruction limit
% 1.32/0.51 % (3006378)Termination phase: Saturation
% 1.32/0.51 % (3006378)Time elapsed: 0.038 s
% 1.32/0.51 % (3006378)Peak memory usage: 12 MB
% 1.32/0.51 % (3006378)Instructions burned: 88 (million)
% 1.32/0.51 % (3006394)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1302216814:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.32/0.51 % (3006389)Instruction limit reached!
% 1.32/0.51 % (3006389)------------------------------
% 1.32/0.51 % (3006389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.51 % (3006389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.51 % (3006389)CaDiCaL version: 2.1.3
% 1.32/0.51 % (3006389)Termination reason: Instruction limit
% 1.32/0.51 % (3006389)Termination phase: SInE selection
% 1.32/0.51 % (3006389)Time elapsed: 0.012 s
% 1.32/0.51 % (3006389)Peak memory usage: 11 MB
% 1.32/0.51 % (3006389)Instructions burned: 26 (million)
% 1.32/0.51 % (3006392)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=584572927:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.32/0.51 % (3006394)Instruction limit reached!
% 1.32/0.51 % (3006394)------------------------------
% 1.32/0.51 % (3006394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.51 % (3006394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.51 % (3006394)CaDiCaL version: 2.1.3
% 1.32/0.51 % (3006394)Termination reason: Instruction limit
% 1.32/0.51 % (3006394)Termination phase: Property scanning
% 1.32/0.51 % (3006394)Time elapsed: 0.004 s
% 1.32/0.51 % (3006394)Peak memory usage: 10 MB
% 1.32/0.51 % (3006394)Instructions burned: 16 (million)
% 1.32/0.51 % (3006396)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3105653053: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)
% 1.32/0.51 % (3006396)Instruction limit reached!
% 1.32/0.51 % (3006396)------------------------------
% 1.32/0.51 % (3006396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.51 % (3006396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.51 % (3006396)CaDiCaL version: 2.1.3
% 1.32/0.51 % (3006396)Termination reason: Instruction limit
% 1.32/0.51 % (3006396)Termination phase: shuffling
% 1.32/0.51 % (3006396)Time elapsed: 0.001 s
% 1.32/0.51 % (3006396)Peak memory usage: 10 MB
% 1.32/0.51 % (3006396)Instructions burned: 2 (million)
% 1.32/0.51 % (3006401)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3508642632:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.32/0.51 % (3006397)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=885292459:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.32/0.51 % (3006399)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3758627923:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.32/0.51 % (3006403)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
% 1.32/0.51 % (3006403)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.32/0.51 % (3006397)Instruction limit reached!
% 1.32/0.51 % (3006397)------------------------------
% 1.32/0.51 % (3006397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.51 % (3006397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.51 % (3006397)CaDiCaL version: 2.1.3
% 1.32/0.51 % (3006397)Termination reason: Instruction limit
% 1.32/0.51 % (3006397)Termination phase: Property scanning
% 1.32/0.51 % (3006397)Time elapsed: 0.013 s
% 1.32/0.51 % (3006397)Peak memory usage: 10 MB
% 2.03/0.59 % (3006397)Instructions burned: 27 (million)
% 2.03/0.59 % (3006401)Instruction limit reached!
% 2.03/0.59 % (3006401)------------------------------
% 2.03/0.59 % (3006401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.59 % (3006401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.59 % (3006401)CaDiCaL version: 2.1.3
% 2.03/0.59 % (3006401)Termination reason: Instruction limit
% 2.03/0.59 % (3006401)Termination phase: Property scanning
% 2.03/0.59 % (3006401)Time elapsed: 0.015 s
% 2.03/0.59 % (3006401)Peak memory usage: 11 MB
% 2.03/0.59 % (3006401)Instructions burned: 62 (million)
% 2.03/0.59 % (3006403)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=3289986213:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.03/0.59 % (3006399)Instruction limit reached!
% 2.03/0.59 % (3006399)------------------------------
% 2.03/0.59 % (3006399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.59 % (3006399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.59 % (3006399)CaDiCaL version: 2.1.3
% 2.03/0.59 % (3006399)Termination reason: Instruction limit
% 2.03/0.59 % (3006399)Termination phase: Preprocessing 1
% 2.03/0.59 % (3006399)Time elapsed: 0.012 s
% 2.03/0.59 % (3006399)Peak memory usage: 10 MB
% 2.03/0.59 % (3006399)Instructions burned: 25 (million)
% 2.03/0.59 % (3006408)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=3471369437:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.03/0.59 % (3006403)Instruction limit reached!
% 2.03/0.59 % (3006403)------------------------------
% 2.03/0.59 % (3006403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.59 % (3006403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.59 % (3006403)CaDiCaL version: 2.1.3
% 2.03/0.59 % (3006403)Termination reason: Instruction limit
% 2.03/0.59 % (3006403)Termination phase: shuffling
% 2.03/0.59 % (3006403)Time elapsed: 0.010 s
% 2.03/0.59 % (3006403)Peak memory usage: 10 MB
% 2.03/0.59 % (3006403)Instructions burned: 23 (million)
% 2.03/0.59 % (3006407)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.03/0.59 % (3006407)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=3955828402:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.03/0.59 % (3006408)Instruction limit reached!
% 2.03/0.59 % (3006408)------------------------------
% 2.03/0.59 % (3006408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.59 % (3006408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.59 % (3006408)CaDiCaL version: 2.1.3
% 2.03/0.59 % (3006408)Termination reason: Instruction limit
% 2.03/0.59 % (3006408)Termination phase: Property scanning
% 2.03/0.59 % (3006408)Time elapsed: 0.007 s
% 2.03/0.59 % (3006408)Peak memory usage: 10 MB
% 2.03/0.59 % (3006408)Instructions burned: 31 (million)
% 2.03/0.59 % (3006387)Refutation not found, incomplete strategy
% 2.03/0.59 % (3006387)------------------------------
% 2.03/0.59 % (3006387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.59 % (3006387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.59 % (3006387)CaDiCaL version: 2.1.3
% 2.03/0.59 % (3006387)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.59 % (3006387)Time elapsed: 0.066 s
% 2.03/0.59 % (3006387)Peak memory usage: 14 MB
% 2.03/0.59 % (3006387)Instructions burned: 130 (million)
% 2.03/0.59 % (3006387)------------------------------
% 2.03/0.59 % (3006387)------------------------------
% 2.03/0.59 % (3006407)Instruction limit reached!
% 2.03/0.59 % (3006407)------------------------------
% 2.03/0.59 % (3006407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.59 % (3006407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.59 % (3006407)CaDiCaL version: 2.1.3
% 2.03/0.59 % (3006407)Termination reason: Instruction limit
% 2.03/0.59 % (3006407)Termination phase: shuffling
% 2.03/0.59 % (3006407)Time elapsed: 0.005 s
% 2.03/0.59 % (3006407)Peak memory usage: 10 MB
% 2.03/0.59 % (3006407)Instructions burned: 9 (million)
% 2.03/0.59 % (3006410)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3697704380:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.03/0.59 % (3006414)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4160782794:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.03/0.59 % (3006410)Instruction limit reached!
% 2.03/0.59 % (3006410)------------------------------
% 2.03/0.59 % (3006410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.59 % (3006410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.59 % (3006410)CaDiCaL version: 2.1.3
% 2.03/0.59 % (3006410)Termination reason: Instruction limit
% 2.03/0.59 % (3006410)Termination phase: shuffling
% 2.03/0.59 % (3006410)Time elapsed: 0.004 s
% 2.03/0.59 % (3006410)Peak memory usage: 10 MB
% 2.03/0.59 % (3006410)Instructions burned: 8 (million)
% 2.03/0.59 % (3006412)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=197353014:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.03/0.59 % (3006414)Instruction limit reached!
% 2.03/0.59 % (3006414)------------------------------
% 2.03/0.59 % (3006414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.59 % (3006414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.59 % (3006414)CaDiCaL version: 2.1.3
% 2.03/0.59 % (3006414)Termination reason: Instruction limit
% 2.03/0.59 % (3006414)Termination phase: Property scanning
% 2.03/0.59 % (3006414)Time elapsed: 0.005 s
% 2.03/0.59 % (3006414)Peak memory usage: 10 MB
% 2.03/0.59 % (3006414)Instructions burned: 21 (million)
% 2.03/0.59 % (3006415)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3897698035:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.03/0.59 % (3006412)Instruction limit reached!
% 2.03/0.59 % (3006412)------------------------------
% 2.03/0.59 % (3006412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.59 % (3006412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.59 % (3006412)CaDiCaL version: 2.1.3
% 2.03/0.59 % (3006412)Termination reason: Instruction limit
% 2.03/0.59 % (3006412)Termination phase: shuffling
% 2.03/0.59 % (3006412)Time elapsed: 0.011 s
% 2.03/0.59 % (3006412)Peak memory usage: 10 MB
% 2.03/0.59 % (3006412)Instructions burned: 23 (million)
% 2.03/0.59 % (3006416)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=87638433:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.03/0.59 % (3006421)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2110287505:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 2.03/0.59 % (3006420)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3938683727:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 2.03/0.59 % (3006421)Instruction limit reached!
% 2.03/0.59 % (3006421)------------------------------
% 2.03/0.59 % (3006421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.59 % (3006421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.59 % (3006421)CaDiCaL version: 2.1.3
% 2.03/0.59 % (3006421)Termination reason: Instruction limit
% 2.03/0.59 % (3006421)Termination phase: Property scanning
% 2.03/0.59 % (3006421)Time elapsed: 0.011 s
% 2.03/0.59 % (3006421)Peak memory usage: 11 MB
% 2.03/0.59 % (3006421)Instructions burned: 42 (million)
% 2.03/0.59 % (3006424)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.03/0.59 % (3006424)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2233246905:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.03/0.59 % (3006424)Instruction limit reached!
% 2.03/0.59 % (3006424)------------------------------
% 2.03/0.59 % (3006424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.59 % (3006424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.59 % (3006424)CaDiCaL version: 2.1.3
% 2.03/0.59 % (3006424)Termination reason: Instruction limit
% 2.03/0.59 % (3006424)Termination phase: shuffling
% 2.03/0.59 % (3006424)Time elapsed: 0.004 s
% 2.03/0.59 % (3006424)Peak memory usage: 10 MB
% 2.03/0.59 % (3006424)Instructions burned: 8 (million)
% 2.03/0.59 % (3006427)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=728067031:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.03/0.59 % (3006430)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=2992201528:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.03/0.59 % (3006416)Instruction limit reached!
% 2.03/0.59 % (3006416)------------------------------
% 2.03/0.59 % (3006416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.59 % (3006416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.59 % (3006416)CaDiCaL version: 2.1.3
% 2.03/0.59 % (3006416)Termination reason: Instruction limit
% 2.03/0.59 % (3006416)Termination phase: Saturation
% 2.03/0.59 % (3006416)Time elapsed: 0.071 s
% 2.03/0.59 % (3006416)Peak memory usage: 14 MB
% 2.03/0.59 % (3006416)Instructions burned: 144 (million)
% 2.03/0.59 % (3006427)Instruction limit reached!
% 2.03/0.59 % (3006427)------------------------------
% 2.03/0.59 % (3006427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.59 % (3006427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.59 % (3006427)CaDiCaL version: 2.1.3
% 2.03/0.59 % (3006427)Termination reason: Instruction limit
% 2.03/0.59 % (3006427)Termination phase: Saturation
% 2.03/0.59 % (3006427)Time elapsed: 0.053 s
% 2.03/0.59 % (3006427)Peak memory usage: 14 MB
% 2.03/0.59 % (3006427)Instructions burned: 186 (million)
% 2.03/0.59 % (3006433)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1698228655:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.03/0.59 % (3006432)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.03/0.59 % (3006432)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1142573677:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.03/0.59 % (3006430) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3006351-3006430"...
% 2.03/0.59 % (3006433)Instruction limit reached!
% 2.03/0.59 % (3006433)------------------------------
% 2.03/0.59 % (3006433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.59 % (3006433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.59 % (3006433)CaDiCaL version: 2.1.3
% 2.03/0.59 % (3006433)Termination reason: Instruction limit
% 2.03/0.59 % (3006433)Termination phase: Preprocessing 1
% 2.03/0.59 % (3006433)Time elapsed: 0.006 s
% 2.03/0.59 % (3006433)Peak memory usage: 10 MB
% 2.03/0.59 % (3006433)Instructions burned: 25 (million)
% 2.03/0.59 % (3006432)Instruction limit reached!
% 2.03/0.59 % (3006432)------------------------------
% 2.03/0.59 % (3006432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.59 % (3006432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.59 % (3006432)CaDiCaL version: 2.1.3
% 2.03/0.59 % (3006432)Termination reason: Instruction limit
% 2.03/0.59 % (3006432)Termination phase: shuffling
% 2.03/0.59 % (3006432)Time elapsed: 0.003 s
% 2.03/0.59 % (3006432)Peak memory usage: 10 MB
% 2.03/0.59 % (3006432)Instructions burned: 6 (million)
% 2.03/0.59 % (3006430)...printing done.
% 2.03/0.59 % (3006430)Refutation found. Thanks to Tanya!
% 2.03/0.59 % SZS status Theorem for theBenchmark
% 2.03/0.59 % SZS output start Proof for theBenchmark
% 2.03/0.59 thf(type_def_5, type, coindu1593790203_llist: $tType > $tType).
% 2.03/0.59 thf(type_def_6, type, extended_enat: $tType).
% 2.03/0.59 thf(type_def_7, type, list: $tType > $tType).
% 2.03/0.59 thf(type_def_8, type, set: $tType > $tType).
% 2.03/0.59 thf(type_def_9, type, nat: $tType).
% 2.03/0.59 thf(type_def_10, type, itself: $tType > $tType).
% 2.03/0.59 thf(type_def_11, type, a: $tType).
% 2.03/0.59 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 2.03/0.59 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_1, type, zero: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_2, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_3, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_4, type, group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_5, type, monoid_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_6, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_7, type, semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_8, type, comm_semiring_1: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_9, type, comm_monoid_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_10, type, ab_semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_11, type, cancel_semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_12, type, cancel1352612707id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_13, type, linord219039673up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_14, type, ordere216010020id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_15, type, ordere779506340up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_16, type, canoni770627133id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_17, type, strict797366125id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_18, type, ordere236663937imp_le: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_19, type, ordere223160158up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_20, type, strict2144017051up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_21, type, ordere516151231imp_le: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_22, type, semiri456707255roduct: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.03/0.59 thf(func_def_23, type, coindu493225792length: !>[X0: $tType]:((nat > coindu1593790203_llist @ X0 > extended_enat))).
% 2.03/0.59 thf(func_def_24, type, coindu441856546concat: !>[X0: $tType]:((coindu1593790203_llist @ coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 2.03/0.59 thf(func_def_25, type, coindu531130065ldropn: !>[X0: $tType]:((nat > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 2.03/0.59 thf(func_def_26, type, coindu1213758845finite: !>[X0: $tType]:((coindu1593790203_llist @ X0 > $o))).
% 2.03/0.59 thf(func_def_27, type, coindu1018505716length: !>[X0: $tType]:((coindu1593790203_llist @ X0 > extended_enat))).
% 2.03/0.59 thf(func_def_28, type, coindu1121789889_LCons: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 2.03/0.59 thf(func_def_29, type, coindu1598213697e_LNil: !>[X0: $tType]:(coindu1593790203_llist @ X0)).
% 2.03/0.59 thf(func_def_30, type, coindu335574135_lnull: !>[X0: $tType]:((coindu1593790203_llist @ X0 > $o))).
% 2.03/0.59 thf(func_def_31, type, coindu1079202755ist_of: !>[X0: $tType]:((list @ X0 > coindu1593790203_llist @ X0))).
% 2.03/0.59 thf(func_def_32, type, coindu749330388e_lnth: !>[X0: $tType]:((coindu1593790203_llist @ X0 > nat > X0))).
% 2.03/0.59 thf(func_def_33, type, extended_enat2: (nat > extended_enat)).
% 2.03/0.59 thf(func_def_34, type, extended_size_enat: (extended_enat > nat)).
% 2.03/0.59 thf(func_def_35, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 2.03/0.59 thf(func_def_36, type, zero_zero: !>[X0: $tType]:(X0)).
% 2.03/0.59 thf(func_def_37, type, groups15040474setsum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 2.03/0.59 thf(func_def_38, type, suc: (nat > nat)).
% 2.03/0.59 thf(func_def_39, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 2.03/0.59 thf(func_def_40, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.03/0.59 thf(func_def_41, type, type2: !>[X0: $tType]:(itself @ X0)).
% 2.03/0.59 thf(func_def_42, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 2.03/0.59 thf(func_def_43, type, set_ord_lessThan: !>[X0: $tType]:((X0 > set @ X0))).
% 2.03/0.59 thf(func_def_44, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 2.03/0.59 thf(func_def_45, type, n: nat).
% 2.03/0.59 thf(func_def_46, type, m: nat).
% 2.03/0.59 thf(func_def_47, type, n2: nat).
% 2.03/0.59 thf(func_def_48, type, n3: nat).
% 2.03/0.59 thf(func_def_49, type, na: nat).
% 2.03/0.59 thf(func_def_50, type, x: a).
% 2.03/0.59 thf(func_def_51, type, xs: coindu1593790203_llist @ a).
% 2.03/0.59 thf(func_def_52, type, xss: coindu1593790203_llist @ coindu1593790203_llist @ a).
% 2.03/0.59 thf(func_def_53, type, xss2: list @ coindu1593790203_llist @ a).
% 2.03/0.59 thf(func_def_54, type, xssa: coindu1593790203_llist @ coindu1593790203_llist @ a).
% 2.03/0.59 thf(func_def_58, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.03/0.59 thf(func_def_59, type, vAND: ($o > $o > $o)).
% 2.03/0.59 thf(func_def_60, type, vOR: ($o > $o > $o)).
% 2.03/0.59 thf(func_def_61, type, db0: !>[X0: $tType]:(X0)).
% 2.03/0.59 thf(func_def_62, type, db1: !>[X0: $tType]:(X0)).
% 2.03/0.59 thf(func_def_63, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.03/0.59 thf(func_def_64, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.03/0.59 thf(func_def_65, type, vNOT: ($o > $o)).
% 2.03/0.59 thf(func_def_66, type, db2: !>[X0: $tType]:(X0)).
% 2.03/0.59 thf(func_def_67, type, sP0: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > set @ X0 > $o))).
% 2.03/0.59 thf(func_def_68, type, sP1: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > $o))).
% 2.03/0.59 thf(func_def_69, type, sK2: ((nat > $o) > nat)).
% 2.03/0.59 thf(func_def_70, type, sK3: !>[X0: $tType]:(((X0 > extended_enat) > X0))).
% 2.03/0.59 thf(func_def_71, type, sK4: !>[X0: $tType]:(((X0 > extended_enat) > nat > X0))).
% 2.03/0.59 thf(func_def_72, type, sK5: (nat > nat > nat)).
% 2.03/0.59 thf(func_def_73, type, sK6: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 2.03/0.59 thf(func_def_74, type, sK7: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 2.03/0.59 thf(func_def_75, type, sK8: !>[X0: $tType]:((coindu1593790203_llist @ X0 > nat))).
% 2.03/0.59 thf(func_def_76, type, sK9: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 2.03/0.59 thf(func_def_77, type, sK10: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > X0))).
% 2.03/0.59 thf(func_def_78, type, sK11: (nat > nat)).
% 2.03/0.59 thf(func_def_79, type, sK12: !>[X0: $tType]:((nat > list @ X0))).
% 2.03/0.59 thf(func_def_80, type, sK13: !>[X0: $tType]:((set @ X0 > (X0 > nat) > X0))).
% 2.03/0.59 thf(func_def_81, type, sK14: (nat > nat)).
% 2.03/0.59 thf(func_def_82, type, sK15: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.03/0.59 thf(func_def_83, type, sK16: (nat > nat > nat)).
% 2.03/0.59 thf(func_def_84, type, sK17: ((nat > $o) > nat)).
% 2.03/0.59 thf(func_def_85, type, sK18: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 2.03/0.59 thf(func_def_86, type, sK19: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 2.03/0.59 thf(func_def_87, type, sK20: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 2.03/0.59 thf(func_def_88, type, sK21: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 2.03/0.59 thf(func_def_89, type, sK22: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.03/0.59 thf(func_def_90, type, sK23: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 2.03/0.59 thf(func_def_91, type, sK24: ((nat > $o) > nat)).
% 2.03/0.59 thf(func_def_92, type, sK25: (coindu1593790203_llist @ coindu1593790203_llist @ a > nat)).
% 2.03/0.59 thf(func_def_93, type, sK26: (coindu1593790203_llist @ coindu1593790203_llist @ a > nat)).
% 2.03/0.59 thf(func_def_94, type, sK27: ((nat > nat > $o) > nat)).
% 2.03/0.59 thf(func_def_95, type, sK28: ((nat > nat > $o) > nat)).
% 2.03/0.59 thf(func_def_96, type, sK29: ((nat > nat > $o) > nat)).
% 2.03/0.59 thf(func_def_97, type, sK30: ((nat > nat > $o) > nat)).
% 2.03/0.59 thf(func_def_98, type, sK31: (nat > nat)).
% 2.03/0.59 thf(func_def_99, type, sK32: coindu1593790203_llist @ a).
% 2.03/0.59 thf(func_def_100, type, sK33: a).
% 2.03/0.59 thf(func_def_101, type, sK34: ((nat > $o) > nat > nat)).
% 2.03/0.59 thf(func_def_102, type, sK35: ((nat > $o) > nat > nat)).
% 2.03/0.59 thf(func_def_103, type, sK36: ((nat > $o) > nat)).
% 2.03/0.59 thf(func_def_104, type, sK37: ((extended_enat > $o) > extended_enat)).
% 2.03/0.59 thf(func_def_105, type, sK38: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 2.03/0.59 thf(func_def_106, type, sK39: ((nat > $o) > nat)).
% 2.03/0.59 thf(func_def_107, type, sK40: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 2.03/0.59 thf(func_def_108, type, sK41: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 2.03/0.59 thf(func_def_109, type, sK42: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 2.03/0.59 thf(func_def_110, type, sK43: (nat > nat > nat)).
% 2.03/0.59 thf(func_def_111, type, sK44: (extended_enat > nat)).
% 2.03/0.59 thf(func_def_112, type, sK45: ((nat > $o) > nat)).
% 2.03/0.59 thf(func_def_113, type, sK46: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > X1))).
% 2.03/0.59 thf(func_def_114, type, sK47: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > set @ X0 > X0))).
% 2.03/0.59 thf(func_def_115, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0) > (X0 > X2) > (X1 > X2) > set @ X1 > X1))).
% 2.03/0.59 thf(func_def_116, type, sK49: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > X1))).
% 2.03/0.59 thf(func_def_117, type, sK50: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > set @ X1 > X1))).
% 2.03/0.59 thf(func_def_118, type, sK51: ((nat > nat > $o) > nat)).
% 2.03/0.59 thf(func_def_119, type, sK52: ((nat > nat > $o) > nat)).
% 2.03/0.59 thf(func_def_120, type, sK53: ((nat > nat > $o) > nat)).
% 2.03/0.59 thf(func_def_121, type, sK54: ((nat > nat > $o) > nat)).
% 2.03/0.59 thf(func_def_122, type, sK55: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 2.03/0.59 thf(func_def_123, type, sK56: (nat > nat > nat)).
% 2.03/0.59 thf(func_def_124, type, sK57: !>[X0: $tType]:((set @ nat > (nat > X0) > (nat > X0) > nat))).
% 2.03/0.59 thf(func_def_125, type, sK58: (extended_enat > nat > nat)).
% 2.03/0.59 thf(func_def_126, type, sK59: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 2.03/0.59 thf(f1,axiom,(
% 2.03/0.59 (ord_less @ extended_enat @ (extended_enat2 @ (size_size @ list @ coindu1593790203_llist @ a @ xss2)) @ (coindu1018505716length @ coindu1593790203_llist @ a @ xssa))),
% 2.03/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062enat_A_Ilength_Axss_H_J_A_060_Allength_Axss_092_060close_062)).
% 2.03/0.59 thf(f3,axiom,(
% 2.03/0.59 (ord_less @ extended_enat @ (extended_enat2 @ (suc @ n3)) @ (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ (size_size @ list @ coindu1593790203_llist @ a @ xss2))))),
% 2.03/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__092_060open_062enat_A_ISuc_An_H_J_A_060_Allength_A_Ilnth_Axss_A_Ilength_Axss_H_J_J_092_060close_062)).
% 2.03/0.59 thf(f5,axiom,(
% 2.03/0.59 (((coindu749330388e_lnth @ a @ (coindu441856546concat @ a @ xssa) @ (suc @ na))) = ((coindu749330388e_lnth @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ (size_size @ list @ coindu1593790203_llist @ a @ xss2)) @ (suc @ n3))))),
% 2.03/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4__092_060open_062lnth_A_Ilconcat_Axss_J_A_ISuc_An_J_A_061_Alnth_A_Ilnth_Axss_A_Ilength_Axss_H_J_J_A_ISuc_An_H_J_092_060close_062)).
% 2.03/0.59 thf(f6,axiom,(
% 2.03/0.59 (((extended_enat2 @ (suc @ na))) = ((plus_plus @ extended_enat @ (groups15040474setsum @ nat @ extended_enat @ (^[X0 : nat] : ((coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ X0)))) @ (set_ord_lessThan @ nat @ (size_size @ list @ coindu1593790203_llist @ a @ xss2))) @ (extended_enat2 @ (suc @ n3)))))),
% 2.03/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5__092_060open_062enat_A_ISuc_An_J_A_061_A_I_092_060Sum_062i_060length_Axss_H_O_Allength_A_Ilnth_Axss_Ai_J_J_A_L_Aenat_A_ISuc_An_H_J_092_060close_062)).
% 2.03/0.59 thf(f292,conjecture,(
% 2.03/0.59 ? [X0 : nat,X1 : nat] : ((((plus_plus @ extended_enat @ (groups15040474setsum @ nat @ extended_enat @ (^[X2 : nat] : ((coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ X2)))) @ (set_ord_lessThan @ nat @ X0)) @ (extended_enat2 @ X1))) = ((extended_enat2 @ (suc @ na)))) & (ord_less @ extended_enat @ (extended_enat2 @ X1) @ (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ X0))) & (ord_less @ extended_enat @ (extended_enat2 @ X0) @ (coindu1018505716length @ coindu1593790203_llist @ a @ xssa)) & (((coindu749330388e_lnth @ a @ (coindu441856546concat @ a @ xssa) @ (suc @ na))) = ((coindu749330388e_lnth @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ X0) @ X1))))),
% 2.03/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 2.03/0.59 thf(f293,negated_conjecture,(
% 2.03/0.59 ~ ? [X0 : nat,X1 : nat] : ((((plus_plus @ extended_enat @ (groups15040474setsum @ nat @ extended_enat @ (^[X2 : nat] : ((coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ X2)))) @ (set_ord_lessThan @ nat @ X0)) @ (extended_enat2 @ X1))) = ((extended_enat2 @ (suc @ na)))) & (ord_less @ extended_enat @ (extended_enat2 @ X1) @ (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ X0))) & (ord_less @ extended_enat @ (extended_enat2 @ X0) @ (coindu1018505716length @ coindu1593790203_llist @ a @ xssa)) & (((coindu749330388e_lnth @ a @ (coindu441856546concat @ a @ xssa) @ (suc @ na))) = ((coindu749330388e_lnth @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ X0) @ X1))))),
% 2.03/0.59 inference(negated_conjecture,[status(cth)],[f292])).
% 2.03/0.59 thf(f341,plain,(
% 2.03/0.59 ~ ? [X0 : nat,X1 : nat] : ((((plus_plus @ extended_enat @ (groups15040474setsum @ nat @ extended_enat @ (^[X2 : nat] : ((coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ X2)))) @ (set_ord_lessThan @ nat @ X0)) @ (extended_enat2 @ X1))) = ((extended_enat2 @ (suc @ na)))) & (ord_less @ extended_enat @ (extended_enat2 @ X1) @ (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ X0))) & (ord_less @ extended_enat @ (extended_enat2 @ X0) @ (coindu1018505716length @ coindu1593790203_llist @ a @ xssa)) & (((coindu749330388e_lnth @ a @ (coindu441856546concat @ a @ xssa) @ (suc @ na))) = ((coindu749330388e_lnth @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ X0) @ X1))))),
% 2.03/0.59 inference(rectify,[],[f293])).
% 2.03/0.59 thf(f342,plain,(
% 2.03/0.59 ~ ? [X0 : nat,X1 : nat] : ((((extended_enat2 @ (suc @ na))) = ((plus_plus @ extended_enat @ (groups15040474setsum @ nat @ extended_enat @ (^[Y0 : nat]: (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ Y0))) @ (set_ord_lessThan @ nat @ X0)) @ (extended_enat2 @ X1)))) & (((ord_less @ extended_enat @ (extended_enat2 @ X1) @ (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ X0)))) = $true) & (((coindu749330388e_lnth @ a @ (coindu441856546concat @ a @ xssa) @ (suc @ na))) = ((coindu749330388e_lnth @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ X0) @ X1))) & (((ord_less @ extended_enat @ (extended_enat2 @ X0) @ (coindu1018505716length @ coindu1593790203_llist @ a @ xssa))) = $true))),
% 2.03/0.59 inference(fool_elimination,[],[f341])).
% 2.03/0.59 thf(f552,plain,(
% 2.03/0.59 (ord_less @ extended_enat @ (extended_enat2 @ (size_size @ list @ coindu1593790203_llist @ a @ xss2)) @ (coindu1018505716length @ coindu1593790203_llist @ a @ xssa))),
% 2.03/0.59 inference(rectify,[],[f1])).
% 2.03/0.59 thf(f553,plain,(
% 2.03/0.59 (((ord_less @ extended_enat @ (extended_enat2 @ (size_size @ list @ coindu1593790203_llist @ a @ xss2)) @ (coindu1018505716length @ coindu1593790203_llist @ a @ xssa))) = $true)),
% 2.03/0.59 inference(fool_elimination,[],[f552])).
% 2.03/0.59 thf(f699,plain,(
% 2.03/0.59 (((extended_enat2 @ (suc @ na))) = ((plus_plus @ extended_enat @ (groups15040474setsum @ nat @ extended_enat @ (^[X0 : nat] : ((coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ X0)))) @ (set_ord_lessThan @ nat @ (size_size @ list @ coindu1593790203_llist @ a @ xss2))) @ (extended_enat2 @ (suc @ n3)))))),
% 2.03/0.59 inference(rectify,[],[f6])).
% 2.03/0.59 thf(f700,plain,(
% 2.03/0.59 (((extended_enat2 @ (suc @ na))) = ((plus_plus @ extended_enat @ (groups15040474setsum @ nat @ extended_enat @ (^[Y0 : nat]: (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ Y0))) @ (set_ord_lessThan @ nat @ (size_size @ list @ coindu1593790203_llist @ a @ xss2))) @ (extended_enat2 @ (suc @ n3)))))),
% 2.03/0.59 inference(fool_elimination,[],[f699])).
% 2.03/0.59 thf(f749,plain,(
% 2.03/0.59 (ord_less @ extended_enat @ (extended_enat2 @ (suc @ n3)) @ (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ (size_size @ list @ coindu1593790203_llist @ a @ xss2))))),
% 2.03/0.59 inference(rectify,[],[f3])).
% 2.03/0.59 thf(f750,plain,(
% 2.03/0.59 (((ord_less @ extended_enat @ (extended_enat2 @ (suc @ n3)) @ (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ (size_size @ list @ coindu1593790203_llist @ a @ xss2))))) = $true)),
% 2.03/0.59 inference(fool_elimination,[],[f749])).
% 2.03/0.59 thf(f834,plain,(
% 2.03/0.59 ! [X1 : nat,X0 : nat] : ((((coindu749330388e_lnth @ a @ (coindu441856546concat @ a @ xssa) @ (suc @ na))) != ((coindu749330388e_lnth @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ X0) @ X1))) | (((ord_less @ extended_enat @ (extended_enat2 @ X1) @ (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ X0)))) != $true) | (((extended_enat2 @ (suc @ na))) != ((plus_plus @ extended_enat @ (groups15040474setsum @ nat @ extended_enat @ (^[Y0 : nat]: (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ Y0))) @ (set_ord_lessThan @ nat @ X0)) @ (extended_enat2 @ X1)))) | (((ord_less @ extended_enat @ (extended_enat2 @ X0) @ (coindu1018505716length @ coindu1593790203_llist @ a @ xssa))) != $true))),
% 2.03/0.59 inference(ennf_transformation,[],[f342])).
% 2.03/0.59 thf(f1005,plain,(
% 2.03/0.59 ! [X0 : nat,X1 : nat] : ((((coindu749330388e_lnth @ a @ (coindu441856546concat @ a @ xssa) @ (suc @ na))) != ((coindu749330388e_lnth @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ X1) @ X0))) | (((ord_less @ extended_enat @ (extended_enat2 @ X0) @ (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ X1)))) != $true) | (((extended_enat2 @ (suc @ na))) != ((plus_plus @ extended_enat @ (groups15040474setsum @ nat @ extended_enat @ (^[Y0 : nat]: (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ Y0))) @ (set_ord_lessThan @ nat @ X1)) @ (extended_enat2 @ X0)))) | ($true != ((ord_less @ extended_enat @ (extended_enat2 @ X1) @ (coindu1018505716length @ coindu1593790203_llist @ a @ xssa)))))),
% 2.03/0.59 inference(rectify,[],[f834])).
% 2.03/0.59 thf(f1074,plain,(
% 2.03/0.59 (((extended_enat2 @ (suc @ na))) = ((plus_plus @ extended_enat @ (groups15040474setsum @ nat @ extended_enat @ (^[Y0 : nat]: (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ Y0))) @ (set_ord_lessThan @ nat @ (size_size @ list @ coindu1593790203_llist @ a @ xss2))) @ (extended_enat2 @ (suc @ n3)))))),
% 2.03/0.59 inference(cnf_transformation,[],[f700])).
% 2.03/0.59 thf(f1121,plain,(
% 2.03/0.59 (((ord_less @ extended_enat @ (extended_enat2 @ (suc @ n3)) @ (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ (size_size @ list @ coindu1593790203_llist @ a @ xss2))))) = $true)),
% 2.03/0.59 inference(cnf_transformation,[],[f750])).
% 2.03/0.59 thf(f1131,plain,(
% 2.03/0.59 (((ord_less @ extended_enat @ (extended_enat2 @ (size_size @ list @ coindu1593790203_llist @ a @ xss2)) @ (coindu1018505716length @ coindu1593790203_llist @ a @ xssa))) = $true)),
% 2.03/0.59 inference(cnf_transformation,[],[f553])).
% 2.03/0.59 thf(f1210,plain,(
% 2.03/0.59 ( ! [X0 : nat,X1 : nat] : ((((extended_enat2 @ (suc @ na))) != ((plus_plus @ extended_enat @ (groups15040474setsum @ nat @ extended_enat @ (^[Y0 : nat]: (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ Y0))) @ (set_ord_lessThan @ nat @ X1)) @ (extended_enat2 @ X0)))) | (((ord_less @ extended_enat @ (extended_enat2 @ X0) @ (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ X1)))) != $true) | ($true != ((ord_less @ extended_enat @ (extended_enat2 @ X1) @ (coindu1018505716length @ coindu1593790203_llist @ a @ xssa)))) | (((coindu749330388e_lnth @ a @ (coindu441856546concat @ a @ xssa) @ (suc @ na))) != ((coindu749330388e_lnth @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ X1) @ X0)))) )),
% 2.03/0.59 inference(cnf_transformation,[],[f1005])).
% 2.03/0.59 thf(f1232,plain,(
% 2.03/0.59 (((coindu749330388e_lnth @ a @ (coindu441856546concat @ a @ xssa) @ (suc @ na))) = ((coindu749330388e_lnth @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ (size_size @ list @ coindu1593790203_llist @ a @ xss2)) @ (suc @ n3))))),
% 2.03/0.59 inference(cnf_transformation,[],[f5])).
% 2.03/0.59 thf(f1393,plain,(
% 2.03/0.59 (((ord_less @ extended_enat @ (extended_enat2 @ (suc @ n3)) @ (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ (size_size @ list @ coindu1593790203_llist @ a @ xss2))))) != $true) | (((coindu749330388e_lnth @ a @ (coindu441856546concat @ a @ xssa) @ (suc @ na))) != ((coindu749330388e_lnth @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ (size_size @ list @ coindu1593790203_llist @ a @ xss2)) @ (suc @ n3)))) | (((ord_less @ extended_enat @ (extended_enat2 @ (size_size @ list @ coindu1593790203_llist @ a @ xss2)) @ (coindu1018505716length @ coindu1593790203_llist @ a @ xssa))) != $true) | (((extended_enat2 @ (suc @ na))) != ((extended_enat2 @ (suc @ na))))),
% 2.03/0.59 inference(constrained_superposition,[],[f1210,f1074])).
% 2.03/0.59 thf(f1394,plain,(
% 2.03/0.59 (((ord_less @ extended_enat @ (extended_enat2 @ (size_size @ list @ coindu1593790203_llist @ a @ xss2)) @ (coindu1018505716length @ coindu1593790203_llist @ a @ xssa))) != $true) | (((ord_less @ extended_enat @ (extended_enat2 @ (suc @ n3)) @ (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ (size_size @ list @ coindu1593790203_llist @ a @ xss2))))) != $true) | (((coindu749330388e_lnth @ a @ (coindu441856546concat @ a @ xssa) @ (suc @ na))) != ((coindu749330388e_lnth @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ (size_size @ list @ coindu1593790203_llist @ a @ xss2)) @ (suc @ n3))))),
% 2.03/0.59 inference(trivial_inequality_removal,[],[f1393])).
% 2.03/0.59 thf(f1396,plain,(
% 2.03/0.59 (((ord_less @ extended_enat @ (extended_enat2 @ (suc @ n3)) @ (coindu1018505716length @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ (size_size @ list @ coindu1593790203_llist @ a @ xss2))))) != $true) | (((coindu749330388e_lnth @ a @ (coindu441856546concat @ a @ xssa) @ (suc @ na))) != ((coindu749330388e_lnth @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ (size_size @ list @ coindu1593790203_llist @ a @ xss2)) @ (suc @ n3))))),
% 2.03/0.59 inference(forward_subsumption_resolution,[],[f1394,f1131])).
% 2.03/0.59 thf(f1397,plain,(
% 2.03/0.59 (((coindu749330388e_lnth @ a @ (coindu441856546concat @ a @ xssa) @ (suc @ na))) != ((coindu749330388e_lnth @ a @ (coindu749330388e_lnth @ coindu1593790203_llist @ a @ xssa @ (size_size @ list @ coindu1593790203_llist @ a @ xss2)) @ (suc @ n3))))),
% 2.03/0.59 inference(forward_subsumption_resolution,[],[f1396,f1121])).
% 2.03/0.59 thf(f1398,plain,(
% 2.03/0.59 $false),
% 2.03/0.59 inference(forward_subsumption_resolution,[],[f1397,f1232])).
% 2.03/0.59 % SZS output end Proof for theBenchmark
% 2.03/0.59 % (3006430)------------------------------
% 2.03/0.59 % (3006430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.59 % (3006430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.59 % (3006430)CaDiCaL version: 2.1.3
% 2.03/0.59 % (3006430)Termination reason: Refutation
% 2.03/0.59 % (3006430)Time elapsed: 0.054 s
% 2.03/0.59 % (3006430)Peak memory usage: 14 MB
% 2.03/0.59 % (3006430)Instructions burned: 103 (million)
% 2.03/0.59 % (3006351)Success in time 0.309 s
% 2.03/0.59 % Vampire exiting
%------------------------------------------------------------------------------