%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP155^1 : 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 : n009.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 08:08:35 AM UTC 2026
% Result : Theorem 2.89s 0.88s
% Output : Refutation 2.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP155^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n009.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 20:02:45 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
% 0.20/0.29 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
% 0.26/0.45 % (283555)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.26/0.45 % (283563)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=3066739828: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)
% 0.26/0.45 % (283560)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1268519659:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.26/0.45 % (283561)lrs+10_16_si=on:nwc=1.5:random_seed=497113206:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.26/0.45 % (283562)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=929383208:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.26/0.45 % (283564)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2608815927:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.26/0.45 % (283562)Instruction limit reached!
% 0.26/0.45 % (283562)------------------------------
% 0.26/0.45 % (283562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.45 % (283562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.45 % (283562)CaDiCaL version: 2.1.3
% 0.26/0.45 % (283562)Termination reason: Instruction limit
% 0.26/0.45 % (283562)Termination phase: shuffling
% 0.26/0.45 % (283562)Time elapsed: 0.002 s
% 0.26/0.45 % (283562)Peak memory usage: 10 MB
% 0.26/0.45 % (283562)Instructions burned: 3 (million)
% 0.26/0.45 % (283561)Instruction limit reached!
% 0.26/0.45 % (283561)------------------------------
% 0.26/0.45 % (283561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.45 % (283561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.45 % (283561)CaDiCaL version: 2.1.3
% 0.26/0.45 % (283561)Termination reason: Instruction limit
% 0.26/0.45 % (283561)Termination phase: shuffling
% 0.26/0.45 % (283561)Time elapsed: 0.009 s
% 0.26/0.45 % (283561)Peak memory usage: 10 MB
% 0.26/0.45 % (283561)Instructions burned: 20 (million)
% 0.26/0.45 % (283566)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.26/0.45 % (283566)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
% 0.26/0.45 % (283564)Instruction limit reached!
% 0.26/0.45 % (283564)------------------------------
% 0.26/0.45 % (283564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.45 % (283564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.45 % (283564)CaDiCaL version: 2.1.3
% 0.26/0.45 % (283564)Termination reason: Instruction limit
% 0.26/0.45 % (283564)Termination phase: shuffling
% 0.26/0.45 % (283564)Time elapsed: 0.011 s
% 0.26/0.45 % (283564)Peak memory usage: 10 MB
% 0.26/0.45 % (283564)Instructions burned: 26 (million)
% 0.26/0.45 % (283565)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3620895307:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.26/0.45 % (283566)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=2170368529:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.26/0.45 % (283572)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=784134944:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.26/0.45 % (283575)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.26/0.45 % (283572)Instruction limit reached!
% 0.26/0.45 % (283572)------------------------------
% 0.26/0.45 % (283572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.45 % (283572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.45 % (283572)CaDiCaL version: 2.1.3
% 0.26/0.45 % (283572)Termination reason: Instruction limit
% 0.26/0.45 % (283572)Termination phase: shuffling
% 0.26/0.45 % (283572)Time elapsed: 0.003 s
% 0.26/0.45 % (283572)Peak memory usage: 10 MB
% 0.26/0.45 % (283572)Instructions burned: 6 (million)
% 0.26/0.45 % (283573)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4245713724:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.12/0.49 % (283575)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2064491168:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.12/0.49 % (283573)Instruction limit reached!
% 1.12/0.49 % (283573)------------------------------
% 1.12/0.49 % (283573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.49 % (283573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.49 % (283573)CaDiCaL version: 2.1.3
% 1.12/0.49 % (283573)Termination reason: Instruction limit
% 1.12/0.49 % (283573)Termination phase: shuffling
% 1.12/0.49 % (283573)Time elapsed: 0.003 s
% 1.12/0.49 % (283573)Peak memory usage: 10 MB
% 1.12/0.49 % (283573)Instructions burned: 7 (million)
% 1.12/0.49 % (283575)Instruction limit reached!
% 1.12/0.49 % (283575)------------------------------
% 1.12/0.49 % (283575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.49 % (283575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.49 % (283575)CaDiCaL version: 2.1.3
% 1.12/0.49 % (283575)Termination reason: Instruction limit
% 1.12/0.49 % (283575)Termination phase: shuffling
% 1.12/0.49 % (283575)Time elapsed: 0.004 s
% 1.12/0.49 % (283575)Peak memory usage: 10 MB
% 1.12/0.49 % (283575)Instructions burned: 9 (million)
% 1.12/0.49 % (283560)Instruction limit reached!
% 1.12/0.49 % (283560)------------------------------
% 1.12/0.49 % (283560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.49 % (283560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.49 % (283560)CaDiCaL version: 2.1.3
% 1.12/0.49 % (283560)Termination reason: Instruction limit
% 1.12/0.49 % (283560)Termination phase: Property scanning
% 1.12/0.49 % (283560)Time elapsed: 0.040 s
% 1.12/0.49 % (283560)Peak memory usage: 12 MB
% 1.12/0.49 % (283560)Instructions burned: 88 (million)
% 1.12/0.49 % (283581)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.12/0.49 % (283581)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.12/0.49 % (283565)Instruction limit reached!
% 1.12/0.49 % (283565)------------------------------
% 1.12/0.49 % (283565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.49 % (283565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.49 % (283565)CaDiCaL version: 2.1.3
% 1.12/0.49 % (283565)Termination reason: Instruction limit
% 1.12/0.49 % (283565)Termination phase: Preprocessing 3
% 1.12/0.49 % (283565)Time elapsed: 0.035 s
% 1.12/0.49 % (283565)Peak memory usage: 12 MB
% 1.12/0.49 % (283565)Instructions burned: 76 (million)
% 1.12/0.49 % (283581)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=121835105:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.12/0.49 % (283578)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=936185861:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.12/0.49 % (283582)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=729386209:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.12/0.49 % (283583)lrs+10_1_si=on:cs=on:random_seed=1507646004:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.12/0.49 % (283584)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.12/0.49 % (283578)Instruction limit reached!
% 1.12/0.49 % (283578)------------------------------
% 1.12/0.49 % (283578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.49 % (283578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.49 % (283578)CaDiCaL version: 2.1.3
% 1.12/0.49 % (283578)Termination reason: Instruction limit
% 1.12/0.49 % (283578)Termination phase: shuffling
% 1.12/0.49 % (283578)Time elapsed: 0.010 s
% 1.12/0.49 % (283578)Peak memory usage: 10 MB
% 1.12/0.49 % (283578)Instructions burned: 12 (million)
% 1.12/0.53 % (283583)Instruction limit reached!
% 1.12/0.53 % (283583)------------------------------
% 1.12/0.53 % (283583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.53 % (283583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.53 % (283583)CaDiCaL version: 2.1.3
% 1.12/0.53 % (283583)Termination reason: Instruction limit
% 1.12/0.53 % (283583)Termination phase: shuffling
% 1.12/0.53 % (283583)Time elapsed: 0.005 s
% 1.12/0.53 % (283583)Peak memory usage: 10 MB
% 1.12/0.53 % (283583)Instructions burned: 10 (million)
% 1.12/0.53 % (283581)Instruction limit reached!
% 1.12/0.53 % (283581)------------------------------
% 1.12/0.53 % (283581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.53 % (283581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.53 % (283581)CaDiCaL version: 2.1.3
% 1.12/0.53 % (283581)Termination reason: Instruction limit
% 1.12/0.53 % (283581)Termination phase: shuffling
% 1.12/0.53 % (283581)Time elapsed: 0.013 s
% 1.12/0.53 % (283581)Peak memory usage: 10 MB
% 1.12/0.53 % (283581)Instructions burned: 29 (million)
% 1.12/0.53 % (283584)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=2713002897:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.12/0.53 % (283584)Instruction limit reached!
% 1.12/0.53 % (283584)------------------------------
% 1.12/0.53 % (283584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.53 % (283584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.53 % (283584)CaDiCaL version: 2.1.3
% 1.12/0.53 % (283584)Termination reason: Instruction limit
% 1.12/0.53 % (283584)Termination phase: shuffling
% 1.12/0.53 % (283584)Time elapsed: 0.003 s
% 1.12/0.53 % (283584)Peak memory usage: 10 MB
% 1.12/0.53 % (283584)Instructions burned: 6 (million)
% 1.12/0.53 % (283566)Instruction limit reached!
% 1.12/0.53 % (283566)------------------------------
% 1.12/0.53 % (283566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.53 % (283566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.53 % (283566)CaDiCaL version: 2.1.3
% 1.12/0.53 % (283566)Termination reason: Instruction limit
% 1.12/0.53 % (283566)Termination phase: Property scanning
% 1.12/0.53 % (283566)Time elapsed: 0.067 s
% 1.12/0.53 % (283566)Peak memory usage: 13 MB
% 1.12/0.53 % (283566)Instructions burned: 159 (million)
% 1.12/0.53 % (283589)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1783790222:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.12/0.53 % (283590)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3381628335:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.12/0.53 % (283591)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2604084755:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.12/0.53 % (283593)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2801721634:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.12/0.53 % (283591)Instruction limit reached!
% 1.12/0.53 % (283591)------------------------------
% 1.12/0.53 % (283591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.53 % (283591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.53 % (283591)CaDiCaL version: 2.1.3
% 1.12/0.53 % (283591)Termination reason: Instruction limit
% 1.12/0.53 % (283591)Termination phase: shuffling
% 1.12/0.53 % (283591)Time elapsed: 0.011 s
% 1.12/0.53 % (283591)Peak memory usage: 10 MB
% 1.12/0.53 % (283591)Instructions burned: 25 (million)
% 1.12/0.53 % (283593)Instruction limit reached!
% 1.12/0.53 % (283593)------------------------------
% 1.12/0.53 % (283593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.53 % (283593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.53 % (283593)CaDiCaL version: 2.1.3
% 1.12/0.53 % (283593)Termination reason: Instruction limit
% 1.12/0.53 % (283593)Termination phase: shuffling
% 1.12/0.53 % (283593)Time elapsed: 0.006 s
% 1.12/0.53 % (283593)Peak memory usage: 10 MB
% 1.12/0.53 % (283593)Instructions burned: 14 (million)
% 1.12/0.53 % (283594)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1024336803:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.12/0.57 % (283589)Instruction limit reached!
% 1.12/0.57 % (283589)------------------------------
% 1.12/0.57 % (283589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.57 % (283589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.57 % (283589)CaDiCaL version: 2.1.3
% 1.12/0.57 % (283589)Termination reason: Instruction limit
% 1.12/0.57 % (283589)Termination phase: Property scanning
% 1.12/0.57 % (283589)Time elapsed: 0.017 s
% 1.12/0.57 % (283589)Peak memory usage: 11 MB
% 1.12/0.57 % (283589)Instructions burned: 39 (million)
% 1.12/0.57 % (283582)Instruction limit reached!
% 1.12/0.57 % (283582)------------------------------
% 1.12/0.57 % (283582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.57 % (283582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.57 % (283582)CaDiCaL version: 2.1.3
% 1.12/0.57 % (283582)Termination reason: Instruction limit
% 1.12/0.57 % (283582)Termination phase: Property scanning
% 1.12/0.57 % (283582)Time elapsed: 0.056 s
% 1.12/0.57 % (283582)Peak memory usage: 11 MB
% 1.12/0.57 % (283582)Instructions burned: 88 (million)
% 1.12/0.57 % (283599)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1201619752:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.12/0.57 % (283600)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1417536654: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)
% 1.12/0.57 % (283600)Instruction limit reached!
% 1.12/0.57 % (283600)------------------------------
% 1.12/0.57 % (283600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.57 % (283600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.57 % (283600)CaDiCaL version: 2.1.3
% 1.12/0.57 % (283600)Termination reason: Instruction limit
% 1.12/0.57 % (283600)Termination phase: shuffling
% 1.12/0.57 % (283600)Time elapsed: 0.004 s
% 1.12/0.57 % (283600)Peak memory usage: 10 MB
% 1.12/0.57 % (283600)Instructions burned: 7 (million)
% 1.12/0.57 % (283599)Instruction limit reached!
% 1.12/0.57 % (283599)------------------------------
% 1.12/0.57 % (283599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.57 % (283599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.57 % (283599)CaDiCaL version: 2.1.3
% 1.12/0.57 % (283599)Termination reason: Instruction limit
% 1.12/0.57 % (283599)Termination phase: shuffling
% 1.12/0.57 % (283599)Time elapsed: 0.006 s
% 1.12/0.57 % (283599)Peak memory usage: 10 MB
% 1.12/0.57 % (283599)Instructions burned: 14 (million)
% 1.12/0.57 % (283602)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1432150198:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.12/0.57 % (283607)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
% 1.12/0.57 % (283607)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.12/0.57 % (283605)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=761791166:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.12/0.57 % (283606)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=260128149:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.12/0.57 % (283607)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=3562760265:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.12/0.57 % (283602)Instruction limit reached!
% 1.12/0.57 % (283602)------------------------------
% 1.12/0.57 % (283602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.57 % (283602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.57 % (283602)CaDiCaL version: 2.1.3
% 1.12/0.57 % (283602)Termination reason: Instruction limit
% 1.12/0.57 % (283602)Termination phase: shuffling
% 1.12/0.57 % (283602)Time elapsed: 0.012 s
% 1.12/0.57 % (283602)Peak memory usage: 10 MB
% 1.12/0.57 % (283602)Instructions burned: 28 (million)
% 1.92/0.61 % (283607)Instruction limit reached!
% 1.92/0.61 % (283607)------------------------------
% 1.92/0.61 % (283607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.61 % (283607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.61 % (283607)CaDiCaL version: 2.1.3
% 1.92/0.61 % (283607)Termination reason: Instruction limit
% 1.92/0.61 % (283607)Termination phase: shuffling
% 1.92/0.61 % (283607)Time elapsed: 0.007 s
% 1.92/0.61 % (283607)Peak memory usage: 10 MB
% 1.92/0.61 % (283607)Instructions burned: 15 (million)
% 1.92/0.61 % (283605)Instruction limit reached!
% 1.92/0.61 % (283605)------------------------------
% 1.92/0.61 % (283605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.61 % (283605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.61 % (283605)CaDiCaL version: 2.1.3
% 1.92/0.61 % (283605)Termination reason: Instruction limit
% 1.92/0.61 % (283605)Termination phase: shuffling
% 1.92/0.61 % (283605)Time elapsed: 0.010 s
% 1.92/0.61 % (283605)Peak memory usage: 10 MB
% 1.92/0.61 % (283605)Instructions burned: 23 (million)
% 1.92/0.61 % (283612)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.92/0.61 % (283563)Instruction limit reached!
% 1.92/0.61 % (283563)------------------------------
% 1.92/0.61 % (283563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.61 % (283563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.61 % (283563)CaDiCaL version: 2.1.3
% 1.92/0.61 % (283563)Termination reason: Instruction limit
% 1.92/0.61 % (283563)Termination phase: Saturation
% 1.92/0.61 % (283563)Time elapsed: 0.165 s
% 1.92/0.61 % (283563)Peak memory usage: 15 MB
% 1.92/0.61 % (283563)Instructions burned: 636 (million)
% 1.92/0.61 % (283612)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=1144497864:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.92/0.61 % (283606)Instruction limit reached!
% 1.92/0.61 % (283606)------------------------------
% 1.92/0.61 % (283606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.62 % (283606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.62 % (283606)CaDiCaL version: 2.1.3
% 1.92/0.62 % (283606)Termination reason: Instruction limit
% 1.92/0.62 % (283606)Termination phase: Preprocessing 3
% 1.92/0.62 % (283606)Time elapsed: 0.027 s
% 1.92/0.62 % (283606)Peak memory usage: 11 MB
% 1.92/0.62 % (283606)Instructions burned: 60 (million)
% 1.92/0.62 % (283612)Instruction limit reached!
% 1.92/0.62 % (283612)------------------------------
% 1.92/0.62 % (283612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.62 % (283612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.62 % (283612)CaDiCaL version: 2.1.3
% 1.92/0.62 % (283612)Termination reason: Instruction limit
% 1.92/0.62 % (283612)Termination phase: shuffling
% 1.92/0.62 % (283612)Time elapsed: 0.005 s
% 1.92/0.62 % (283612)Peak memory usage: 10 MB
% 1.92/0.62 % (283612)Instructions burned: 10 (million)
% 1.92/0.62 % (283613)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=1917028945:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.92/0.62 % (283614)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=51346475:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.92/0.62 % (283615)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1074684143:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.92/0.62 % (283614)Instruction limit reached!
% 1.92/0.62 % (283614)------------------------------
% 1.92/0.62 % (283614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.62 % (283614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.62 % (283614)CaDiCaL version: 2.1.3
% 1.92/0.62 % (283614)Termination reason: Instruction limit
% 1.92/0.62 % (283614)Termination phase: shuffling
% 1.92/0.62 % (283614)Time elapsed: 0.003 s
% 1.92/0.62 % (283614)Peak memory usage: 10 MB
% 1.92/0.62 % (283614)Instructions burned: 7 (million)
% 1.92/0.62 % (283615)Instruction limit reached!
% 1.92/0.62 % (283615)------------------------------
% 2.18/0.68 % (283615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.68 % (283615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.68 % (283615)CaDiCaL version: 2.1.3
% 2.18/0.68 % (283615)Termination reason: Instruction limit
% 2.18/0.68 % (283615)Termination phase: shuffling
% 2.18/0.68 % (283615)Time elapsed: 0.005 s
% 2.18/0.68 % (283615)Peak memory usage: 10 MB
% 2.18/0.68 % (283615)Instructions burned: 24 (million)
% 2.18/0.68 % (283613)Instruction limit reached!
% 2.18/0.68 % (283613)------------------------------
% 2.18/0.68 % (283613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.68 % (283613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.68 % (283613)CaDiCaL version: 2.1.3
% 2.18/0.68 % (283613)Termination reason: Instruction limit
% 2.18/0.68 % (283613)Termination phase: shuffling
% 2.18/0.68 % (283613)Time elapsed: 0.014 s
% 2.18/0.68 % (283613)Peak memory usage: 10 MB
% 2.18/0.68 % (283613)Instructions burned: 32 (million)
% 2.18/0.68 % (283617)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3864685872:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.18/0.68 % (283619)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1348118029:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.18/0.68 % (283623)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4124855387:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.18/0.68 % (283622)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1314237806:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.18/0.68 % (283617)Instruction limit reached!
% 2.18/0.68 % (283617)------------------------------
% 2.18/0.68 % (283617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.68 % (283617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.68 % (283617)CaDiCaL version: 2.1.3
% 2.18/0.68 % (283617)Termination reason: Instruction limit
% 2.18/0.68 % (283617)Termination phase: shuffling
% 2.18/0.68 % (283617)Time elapsed: 0.009 s
% 2.18/0.68 % (283617)Peak memory usage: 10 MB
% 2.18/0.68 % (283617)Instructions burned: 21 (million)
% 2.18/0.68 % (283624)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=623387899:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.18/0.68 % (283590)Instruction limit reached!
% 2.18/0.68 % (283590)------------------------------
% 2.18/0.68 % (283590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.68 % (283590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.68 % (283590)CaDiCaL version: 2.1.3
% 2.18/0.68 % (283590)Termination reason: Instruction limit
% 2.18/0.68 % (283590)Termination phase: Saturation
% 2.18/0.68 % (283590)Time elapsed: 0.115 s
% 2.18/0.68 % (283590)Peak memory usage: 13 MB
% 2.18/0.68 % (283590)Instructions burned: 249 (million)
% 2.18/0.68 % (283629)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.18/0.68 % (283629)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4104687802:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.18/0.68 % (283629)Instruction limit reached!
% 2.18/0.68 % (283629)------------------------------
% 2.18/0.68 % (283629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.68 % (283629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.68 % (283629)CaDiCaL version: 2.1.3
% 2.18/0.68 % (283629)Termination reason: Instruction limit
% 2.18/0.68 % (283629)Termination phase: shuffling
% 2.18/0.68 % (283629)Time elapsed: 0.004 s
% 2.18/0.68 % (283629)Peak memory usage: 10 MB
% 2.18/0.68 % (283629)Instructions burned: 9 (million)
% 2.18/0.68 % (283624)Instruction limit reached!
% 2.18/0.68 % (283624)------------------------------
% 2.18/0.68 % (283624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.68 % (283624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.68 % (283624)CaDiCaL version: 2.1.3
% 2.18/0.68 % (283624)Termination reason: Instruction limit
% 2.18/0.68 % (283624)Termination phase: Property scanning
% 2.18/0.68 % (283624)Time elapsed: 0.019 s
% 2.18/0.68 % (283624)Peak memory usage: 11 MB
% 2.41/0.74 % (283624)Instructions burned: 43 (million)
% 2.41/0.74 % (283631)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2049627327:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.41/0.74 % (283635)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.41/0.74 % (283623)Instruction limit reached!
% 2.41/0.74 % (283623)------------------------------
% 2.41/0.74 % (283623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.74 % (283623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.74 % (283623)CaDiCaL version: 2.1.3
% 2.41/0.74 % (283623)Termination reason: Instruction limit
% 2.41/0.74 % (283623)Termination phase: Saturation
% 2.41/0.74 % (283633)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=4067462668: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)
% 2.41/0.74 % (283623)Time elapsed: 0.050 s
% 2.41/0.74 % (283623)Peak memory usage: 14 MB
% 2.41/0.74 % (283623)Instructions burned: 194 (million)
% 2.41/0.74 % (283635)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=266389161:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.41/0.74 % (283635)Instruction limit reached!
% 2.41/0.74 % (283635)------------------------------
% 2.41/0.74 % (283635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.74 % (283635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.74 % (283635)CaDiCaL version: 2.1.3
% 2.41/0.74 % (283635)Termination reason: Instruction limit
% 2.41/0.74 % (283635)Termination phase: shuffling
% 2.41/0.74 % (283635)Time elapsed: 0.004 s
% 2.41/0.74 % (283635)Peak memory usage: 10 MB
% 2.41/0.74 % (283635)Instructions burned: 7 (million)
% 2.41/0.74 % (283594)Instruction limit reached!
% 2.41/0.74 % (283594)------------------------------
% 2.41/0.74 % (283594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.74 % (283594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.74 % (283594)CaDiCaL version: 2.1.3
% 2.41/0.74 % (283594)Termination reason: Instruction limit
% 2.41/0.74 % (283594)Termination phase: Saturation
% 2.41/0.74 % (283594)Time elapsed: 0.140 s
% 2.41/0.74 % (283594)Peak memory usage: 15 MB
% 2.41/0.74 % (283594)Instructions burned: 327 (million)
% 2.41/0.74 % (283637)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=110716860:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.41/0.74 % (283622)Instruction limit reached!
% 2.41/0.74 % (283622)------------------------------
% 2.41/0.74 % (283622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.74 % (283622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.74 % (283622)CaDiCaL version: 2.1.3
% 2.41/0.74 % (283622)Termination reason: Instruction limit
% 2.41/0.74 % (283622)Termination phase: Property scanning
% 2.41/0.74 % (283622)Time elapsed: 0.061 s
% 2.41/0.74 % (283622)Peak memory usage: 12 MB
% 2.41/0.74 % (283622)Instructions burned: 144 (million)
% 2.41/0.74 % (283637)Instruction limit reached!
% 2.41/0.74 % (283637)------------------------------
% 2.41/0.74 % (283637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.74 % (283637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.74 % (283637)CaDiCaL version: 2.1.3
% 2.41/0.74 % (283637)Termination reason: Instruction limit
% 2.41/0.74 % (283637)Termination phase: shuffling
% 2.41/0.74 % (283637)Time elapsed: 0.005 s
% 2.41/0.74 % (283637)Peak memory usage: 10 MB
% 2.41/0.74 % (283637)Instructions burned: 22 (million)
% 2.41/0.74 % (283639)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4156437410:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.41/0.74 % (283640)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=4204493600:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.41/0.74 % (283643)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=3042042031:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.89/0.87 % (283639)Instruction limit reached!
% 2.89/0.87 % (283639)------------------------------
% 2.89/0.87 % (283639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.87 % (283639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.87 % (283639)CaDiCaL version: 2.1.3
% 2.89/0.87 % (283639)Termination reason: Instruction limit
% 2.89/0.87 % (283639)Termination phase: shuffling
% 2.89/0.87 % (283639)Time elapsed: 0.009 s
% 2.89/0.87 % (283639)Peak memory usage: 10 MB
% 2.89/0.87 % (283639)Instructions burned: 21 (million)
% 2.89/0.87 % (283642)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=1015172290:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.89/0.87 % (283643)Instruction limit reached!
% 2.89/0.87 % (283643)------------------------------
% 2.89/0.87 % (283643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.87 % (283643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.87 % (283643)CaDiCaL version: 2.1.3
% 2.89/0.87 % (283643)Termination reason: Instruction limit
% 2.89/0.87 % (283643)Termination phase: Property scanning
% 2.89/0.87 % (283643)Time elapsed: 0.010 s
% 2.89/0.87 % (283643)Peak memory usage: 11 MB
% 2.89/0.87 % (283643)Instructions burned: 47 (million)
% 2.89/0.87 % (283649)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1331841153:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.89/0.87 % (283648)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1990085580:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.89/0.87 % (283649)Instruction limit reached!
% 2.89/0.87 % (283649)------------------------------
% 2.89/0.87 % (283649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.87 % (283649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.87 % (283649)CaDiCaL version: 2.1.3
% 2.89/0.87 % (283649)Termination reason: Instruction limit
% 2.89/0.87 % (283649)Termination phase: shuffling
% 2.89/0.87 % (283649)Time elapsed: 0.005 s
% 2.89/0.87 % (283649)Peak memory usage: 10 MB
% 2.89/0.87 % (283649)Instructions burned: 21 (million)
% 2.89/0.87 % (283652)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.89/0.87 % (283652)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2641047627:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.89/0.87 % (283631)Instruction limit reached!
% 2.89/0.87 % (283631)------------------------------
% 2.89/0.87 % (283631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.87 % (283631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.87 % (283631)CaDiCaL version: 2.1.3
% 2.89/0.87 % (283631)Termination reason: Instruction limit
% 2.89/0.88 % (283631)Termination phase: Saturation
% 2.89/0.88 % (283631)Time elapsed: 0.087 s
% 2.89/0.88 % (283631)Peak memory usage: 14 MB
% 2.89/0.88 % (283631)Instructions burned: 182 (million)
% 2.89/0.88 % (283633)Instruction limit reached!
% 2.89/0.88 % (283633)------------------------------
% 2.89/0.88 % (283633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.88 % (283633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.88 % (283633)CaDiCaL version: 2.1.3
% 2.89/0.88 % (283633)Termination reason: Instruction limit
% 2.89/0.88 % (283633)Termination phase: Saturation
% 2.89/0.88 % (283633)Time elapsed: 0.077 s
% 2.89/0.88 % (283633)Peak memory usage: 14 MB
% 2.89/0.88 % (283633)Instructions burned: 169 (million)
% 2.89/0.88 % (283654)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=998299233:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.89/0.88 % (283654)Instruction limit reached!
% 2.89/0.88 % (283654)------------------------------
% 2.89/0.88 % (283654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.88 % (283654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.88 % (283654)CaDiCaL version: 2.1.3
% 2.89/0.88 % (283654)Termination reason: Instruction limit
% 2.89/0.88 % (283654)Termination phase: shuffling
% 2.89/0.88 % (283654)Time elapsed: 0.006 s
% 2.89/0.88 % (283654)Peak memory usage: 10 MB
% 2.89/0.88 % (283654)Instructions burned: 14 (million)
% 2.89/0.88 % (283655)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=831664596:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.89/0.88 % (283652)Instruction limit reached!
% 2.89/0.88 % (283652)------------------------------
% 2.89/0.88 % (283652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.88 % (283652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.88 % (283652)CaDiCaL version: 2.1.3
% 2.89/0.88 % (283652)Termination reason: Instruction limit
% 2.89/0.88 % (283652)Termination phase: Saturation
% 2.89/0.88 % (283652)Time elapsed: 0.044 s
% 2.89/0.88 % (283652)Peak memory usage: 13 MB
% 2.89/0.88 % (283652)Instructions burned: 203 (million)
% 2.89/0.88 % (283658)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3789215050:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.89/0.88 % (283659)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2381491029:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 2.89/0.88 % (283655)Instruction limit reached!
% 2.89/0.88 % (283655)------------------------------
% 2.89/0.88 % (283655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.88 % (283655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.88 % (283655)CaDiCaL version: 2.1.3
% 2.89/0.88 % (283655)Termination reason: Instruction limit
% 2.89/0.88 % (283655)Termination phase: Property scanning
% 2.89/0.88 % (283655)Time elapsed: 0.029 s
% 2.89/0.88 % (283655)Peak memory usage: 11 MB
% 2.89/0.88 % (283655)Instructions burned: 68 (million)
% 2.89/0.88 % (283659)Instruction limit reached!
% 2.89/0.88 % (283659)------------------------------
% 2.89/0.88 % (283659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.88 % (283659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.88 % (283659)CaDiCaL version: 2.1.3
% 2.89/0.88 % (283659)Termination reason: Instruction limit
% 2.89/0.88 % (283659)Termination phase: shuffling
% 2.89/0.88 % (283659)Time elapsed: 0.007 s
% 2.89/0.88 % (283659)Peak memory usage: 10 MB
% 2.89/0.88 % (283659)Instructions burned: 31 (million)
% 2.89/0.88 % (283658)Instruction limit reached!
% 2.89/0.88 % (283658)------------------------------
% 2.89/0.88 % (283658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.88 % (283658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.88 % (283658)CaDiCaL version: 2.1.3
% 2.89/0.88 % (283658)Termination reason: Instruction limit
% 2.89/0.88 % (283658)Termination phase: Preprocessing 1
% 2.89/0.88 % (283658)Time elapsed: 0.022 s
% 2.89/0.88 % (283658)Peak memory usage: 11 MB
% 2.89/0.88 % (283658)Instructions burned: 51 (million)
% 2.89/0.88 % (283663)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3338893814:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 2.89/0.88 % (283662)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1756046501:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 2.89/0.88 % (283663)Instruction limit reached!
% 2.89/0.88 % (283663)------------------------------
% 2.89/0.88 % (283663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.88 % (283663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.88 % (283663)CaDiCaL version: 2.1.3
% 2.89/0.88 % (283663)Termination reason: Instruction limit
% 2.89/0.88 % (283663)Termination phase: shuffling
% 2.89/0.88 % (283663)Time elapsed: 0.008 s
% 2.89/0.88 % (283663)Peak memory usage: 10 MB
% 2.89/0.88 % (283663)Instructions burned: 37 (million)
% 2.89/0.88 % (283667)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.89/0.88 % (283665)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1583989286:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 2.89/0.88 % (283640)Instruction limit reached!
% 2.89/0.88 % (283640)------------------------------
% 2.89/0.88 % (283640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.88 % (283640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.88 % (283640)CaDiCaL version: 2.1.3
% 2.89/0.88 % (283640)Termination reason: Instruction limit
% 2.89/0.88 % (283640)Termination phase: Saturation
% 2.89/0.88 % (283640)Time elapsed: 0.131 s
% 2.89/0.88 % (283640)Peak memory usage: 15 MB
% 2.89/0.88 % (283640)Instructions burned: 317 (million)
% 2.89/0.88 % (283667)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=723870754:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 2.89/0.88 % (283670)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2347355970:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 2.89/0.88 % (283665)Instruction limit reached!
% 2.89/0.88 % (283665)------------------------------
% 2.89/0.88 % (283665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.88 % (283665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.88 % (283665)CaDiCaL version: 2.1.3
% 2.89/0.88 % (283665)Termination reason: Instruction limit
% 2.89/0.88 % (283665)Termination phase: Preprocessing 3
% 2.89/0.88 % (283665)Time elapsed: 0.030 s
% 2.89/0.88 % (283665)Peak memory usage: 11 MB
% 2.89/0.88 % (283665)Instructions burned: 68 (million)
% 2.89/0.88 % (283667)Instruction limit reached!
% 2.89/0.88 % (283667)------------------------------
% 2.89/0.88 % (283667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.88 % (283667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.88 % (283667)CaDiCaL version: 2.1.3
% 2.89/0.88 % (283667)Termination reason: Instruction limit
% 2.89/0.88 % (283667)Termination phase: Property scanning
% 2.89/0.88 % (283667)Time elapsed: 0.039 s
% 2.89/0.88 % (283667)Peak memory usage: 12 MB
% 2.89/0.88 % (283667)Instructions burned: 183 (million)
% 2.89/0.88 % (283673)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3586565722:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 2.89/0.88 % (283662)Instruction limit reached!
% 2.89/0.88 % (283662)------------------------------
% 2.89/0.88 % (283662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.88 % (283662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.88 % (283662)CaDiCaL version: 2.1.3
% 2.89/0.88 % (283662)Termination reason: Instruction limit
% 2.89/0.88 % (283662)Termination phase: Saturation
% 2.89/0.88 % (283662)Time elapsed: 0.075 s
% 2.89/0.88 % (283662)Peak memory usage: 13 MB
% 2.89/0.88 % (283662)Instructions burned: 137 (million)
% 2.89/0.88 % (283672)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1702288646:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 2.89/0.88 % (283676)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2309294596:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 2.89/0.88 % (283672)Instruction limit reached!
% 2.89/0.88 % (283672)------------------------------
% 2.89/0.88 % (283672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.88 % (283672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.88 % (283672)CaDiCaL version: 2.1.3
% 2.89/0.88 % (283672)Termination reason: Instruction limit
% 2.89/0.88 % (283672)Termination phase: Property scanning
% 2.89/0.88 % (283672)Time elapsed: 0.042 s
% 2.89/0.88 % (283672)Peak memory usage: 12 MB
% 2.89/0.88 % (283672)Instructions burned: 96 (million)
% 2.89/0.88 % (283648)Instruction limit reached!
% 2.89/0.88 % (283648)------------------------------
% 2.89/0.88 % (283648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.88 % (283648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.88 % (283648)CaDiCaL version: 2.1.3
% 2.89/0.88 % (283648)Termination reason: Instruction limit
% 2.89/0.88 % (283648)Termination phase: Saturation
% 2.89/0.88 % (283648)Time elapsed: 0.222 s
% 2.89/0.88 % (283648)Peak memory usage: 15 MB
% 2.89/0.88 % (283648)Instructions burned: 481 (million)
% 2.89/0.88 % (283678)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1606312360:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 2.89/0.88 % (283642) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-283555-283642"...
% 2.89/0.88 % (283642)...printing done.
% 2.89/0.88 % (283670)Instruction limit reached!
% 2.89/0.88 % (283670)------------------------------
% 2.89/0.88 % (283670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.88 % (283670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.88 % (283670)CaDiCaL version: 2.1.3
% 2.89/0.88 % (283670)Termination reason: Instruction limit
% 2.89/0.88 % (283670)Termination phase: Saturation
% 2.89/0.88 % (283670)Time elapsed: 0.116 s
% 2.89/0.88 % (283670)Peak memory usage: 14 MB
% 2.89/0.88 % (283670)Instructions burned: 246 (million)
% 2.89/0.88 % (283642)Refutation found. Thanks to Tanya!
% 2.89/0.88 % SZS status Theorem for theBenchmark
% 2.89/0.88 % SZS output start Proof for theBenchmark
% 2.89/0.88 thf(type_def_5, type, set_Pr1948701895od_a_a: $tType).
% 2.89/0.88 thf(type_def_6, type, produc1572603623od_a_a: $tType).
% 2.89/0.88 thf(type_def_7, type, produc1691597095_set_a: $tType).
% 2.89/0.88 thf(type_def_8, type, set_Pr1986765409at_nat: $tType).
% 2.89/0.88 thf(type_def_9, type, produc1404140509_a_nat: $tType).
% 2.89/0.88 thf(type_def_10, type, produc1463940355_set_a: $tType).
% 2.89/0.88 thf(type_def_11, type, set_Product_prod_a_a: $tType).
% 2.89/0.88 thf(type_def_12, type, product_prod_nat_nat: $tType).
% 2.89/0.88 thf(type_def_13, type, product_prod_a_a: $tType).
% 2.89/0.88 thf(type_def_14, type, set_set_a: $tType).
% 2.89/0.88 thf(type_def_15, type, set_nat: $tType).
% 2.89/0.88 thf(type_def_16, type, set_a: $tType).
% 2.89/0.88 thf(type_def_17, type, nat: $tType).
% 2.89/0.88 thf(type_def_18, type, a: $tType).
% 2.89/0.88 thf(type_def_19, type, sTfun: ($tType * $tType) > $tType).
% 2.89/0.88 thf(func_def_0, type, finite_card_nat: (set_nat > nat)).
% 2.89/0.88 thf(func_def_1, type, finite1481642319od_a_a: (set_Product_prod_a_a > nat)).
% 2.89/0.88 thf(func_def_2, type, finite_card_a: (set_a > nat)).
% 2.89/0.88 thf(func_def_3, type, finite_finite_nat: (set_nat > $o)).
% 2.89/0.88 thf(func_def_4, type, finite772653738at_nat: (set_Pr1986765409at_nat > $o)).
% 2.89/0.88 thf(func_def_5, type, finite1664988688od_a_a: (set_Pr1948701895od_a_a > $o)).
% 2.89/0.88 thf(func_def_6, type, finite179568208od_a_a: (set_Product_prod_a_a > $o)).
% 2.89/0.88 thf(func_def_7, type, finite_finite_set_a: (set_set_a > $o)).
% 2.89/0.88 thf(func_def_8, type, finite_finite_a: (set_a > $o)).
% 2.89/0.88 thf(func_def_9, type, zero_zero_nat: nat).
% 2.89/0.88 thf(func_def_10, type, order_1150839801on_nat: (set_nat > set_Pr1986765409at_nat > $o)).
% 2.89/0.88 thf(func_def_11, type, order_359341630od_a_a: (set_Product_prod_a_a > set_Pr1948701895od_a_a > $o)).
% 2.89/0.88 thf(func_def_12, type, order_preorder_on_a: (set_a > set_Product_prod_a_a > $o)).
% 2.89/0.88 thf(func_def_13, type, bot_bot_nat_o: (nat > $o)).
% 2.89/0.88 thf(func_def_14, type, bot_bo1293121322_a_a_o: (product_prod_a_a > $o)).
% 2.89/0.88 thf(func_def_15, type, bot_bot_a_o: (a > $o)).
% 2.89/0.88 thf(func_def_16, type, bot_bot_nat: nat).
% 2.89/0.88 thf(func_def_17, type, bot_bo1519632275_set_a: produc1691597095_set_a).
% 2.89/0.88 thf(func_def_18, type, bot_bot_set_nat: set_nat).
% 2.89/0.88 thf(func_def_19, type, bot_bo2131659635od_a_a: set_Product_prod_a_a).
% 2.89/0.88 thf(func_def_20, type, bot_bot_set_set_a: set_set_a).
% 2.89/0.88 thf(func_def_21, type, bot_bot_set_a: set_a).
% 2.89/0.88 thf(func_def_22, type, ord_less_nat: (nat > nat > $o)).
% 2.89/0.88 thf(func_def_23, type, ord_less_eq_nat: (nat > nat > $o)).
% 2.89/0.88 thf(func_def_24, type, ord_le1302190241at_nat: (product_prod_nat_nat > product_prod_nat_nat > $o)).
% 2.89/0.88 thf(func_def_25, type, ord_le841160035_set_a: (produc1463940355_set_a > produc1463940355_set_a > $o)).
% 2.89/0.88 thf(func_def_26, type, ord_le781360189_a_nat: (produc1404140509_a_nat > produc1404140509_a_nat > $o)).
% 2.89/0.88 thf(func_def_27, type, ord_le486764743_set_a: (produc1691597095_set_a > produc1691597095_set_a > $o)).
% 2.89/0.88 thf(func_def_28, type, ord_less_eq_set_nat: (set_nat > set_nat > $o)).
% 2.89/0.88 thf(func_def_29, type, ord_le1824328871od_a_a: (set_Product_prod_a_a > set_Product_prod_a_a > $o)).
% 2.89/0.88 thf(func_def_30, type, ord_less_eq_set_a: (set_a > set_a > $o)).
% 2.89/0.88 thf(func_def_31, type, prefer1936906324as_nat: (nat > set_nat > set_Pr1986765409at_nat > set_nat)).
% 2.89/0.88 thf(func_def_32, type, prefer74720675od_a_a: (product_prod_a_a > set_Product_prod_a_a > set_Pr1948701895od_a_a > set_Product_prod_a_a)).
% 2.89/0.88 thf(func_def_33, type, prefer436369274d_as_a: (a > set_a > set_Product_prod_a_a > set_a)).
% 2.89/0.88 thf(func_def_34, type, prefer563798164od_nat: (nat > set_nat > set_Pr1986765409at_nat > set_nat)).
% 2.89/0.88 thf(func_def_35, type, prefer477097315od_a_a: (product_prod_a_a > set_Product_prod_a_a > set_Pr1948701895od_a_a > set_Product_prod_a_a)).
% 2.89/0.88 thf(func_def_36, type, prefer161218362good_a: (a > set_a > set_Product_prod_a_a > set_a)).
% 2.89/0.88 thf(func_def_37, type, prefer1672638789an_nat: (nat > set_nat > set_Pr1986765409at_nat > set_nat)).
% 2.89/0.88 thf(func_def_38, type, prefer1498087410od_a_a: (product_prod_a_a > set_Product_prod_a_a > set_Pr1948701895od_a_a > set_Product_prod_a_a)).
% 2.89/0.88 thf(func_def_39, type, prefer1676310729than_a: (a > set_a > set_Product_prod_a_a > set_a)).
% 2.89/0.88 thf(func_def_40, type, prefer1293349710ce_nat: (set_nat > set_Pr1986765409at_nat > $o)).
% 2.89/0.88 thf(func_def_41, type, prefer1338892073od_a_a: (set_Product_prod_a_a > set_Pr1948701895od_a_a > $o)).
% 2.89/0.88 thf(func_def_42, type, prefer1292084992ence_a: (set_a > set_Product_prod_a_a > $o)).
% 2.89/0.88 thf(func_def_43, type, prefer1147844220ce_nat: (set_nat > set_Pr1986765409at_nat > $o)).
% 2.89/0.88 thf(func_def_44, type, prefer697821563od_a_a: (set_Product_prod_a_a > set_Pr1948701895od_a_a > $o)).
% 2.89/0.88 thf(func_def_45, type, prefer719835986ence_a: (set_a > set_Product_prod_a_a > $o)).
% 2.89/0.88 thf(func_def_46, type, prefer580340847ioms_a: (set_a > set_Product_prod_a_a > $o)).
% 2.89/0.88 thf(func_def_47, type, product_Pair_nat_nat: (nat > nat > product_prod_nat_nat)).
% 2.89/0.88 thf(func_def_48, type, produc1450889781_set_a: (nat > set_a > produc1463940355_set_a)).
% 2.89/0.88 thf(func_def_49, type, produc1474507607od_a_a: (product_prod_a_a > product_prod_a_a > produc1572603623od_a_a)).
% 2.89/0.88 thf(func_def_50, type, produc515611863_a_nat: (set_a > nat > produc1404140509_a_nat)).
% 2.89/0.88 thf(func_def_51, type, produc1928581911_set_a: (set_a > set_a > produc1691597095_set_a)).
% 2.89/0.88 thf(func_def_52, type, product_Pair_a_a: (a > a > product_prod_a_a)).
% 2.89/0.88 thf(func_def_53, type, refl_on_nat: (set_nat > set_Pr1986765409at_nat > $o)).
% 2.89/0.88 thf(func_def_54, type, refl_o1298442278od_a_a: (set_Product_prod_a_a > set_Pr1948701895od_a_a > $o)).
% 2.89/0.88 thf(func_def_55, type, refl_on_a: (set_a > set_Product_prod_a_a > $o)).
% 2.89/0.88 thf(func_def_56, type, total_on_nat: (set_nat > set_Pr1986765409at_nat > $o)).
% 2.89/0.88 thf(func_def_57, type, total_1490170027od_a_a: (set_Product_prod_a_a > set_Pr1948701895od_a_a > $o)).
% 2.89/0.88 thf(func_def_58, type, total_on_a: (set_a > set_Product_prod_a_a > $o)).
% 2.89/0.88 thf(func_def_59, type, trans_a: (set_Product_prod_a_a > $o)).
% 2.89/0.88 thf(func_def_60, type, collect_nat: ((nat > $o) > set_nat)).
% 2.89/0.88 thf(func_def_61, type, collec645855634od_a_a: ((product_prod_a_a > $o) > set_Product_prod_a_a)).
% 2.89/0.88 thf(func_def_62, type, collect_a: ((a > $o) > set_a)).
% 2.89/0.88 thf(func_def_63, type, is_empty_a: (set_a > $o)).
% 2.89/0.88 thf(func_def_64, type, member_nat: (nat > set_nat > $o)).
% 2.89/0.88 thf(func_def_65, type, member701585322at_nat: (product_prod_nat_nat > set_Pr1986765409at_nat > $o)).
% 2.89/0.88 thf(func_def_66, type, member2057358096od_a_a: (produc1572603623od_a_a > set_Pr1948701895od_a_a > $o)).
% 2.89/0.88 thf(func_def_67, type, member449909584od_a_a: (product_prod_a_a > set_Product_prod_a_a > $o)).
% 2.89/0.88 thf(func_def_68, type, member_set_a: (set_a > set_set_a > $o)).
% 2.89/0.88 thf(func_def_69, type, member_a: (a > set_a > $o)).
% 2.89/0.88 thf(func_def_70, type, carrier: set_a).
% 2.89/0.88 thf(func_def_71, type, relation: set_Product_prod_a_a).
% 2.89/0.89 thf(func_def_72, type, x: a).
% 2.89/0.89 thf(func_def_73, type, y: a).
% 2.89/0.89 thf(func_def_77, type, db0: !>[X0: $tType]:(X0)).
% 2.89/0.89 thf(func_def_78, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.89/0.89 thf(func_def_79, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.89/0.89 thf(func_def_80, type, vAND: ($o > $o > $o)).
% 2.89/0.89 thf(func_def_81, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.89/0.89 thf(func_def_82, type, vIMP: ($o > $o > $o)).
% 2.89/0.89 thf(func_def_83, type, db1: !>[X0: $tType]:(X0)).
% 2.89/0.89 thf(func_def_84, type, db2: !>[X0: $tType]:(X0)).
% 2.89/0.89 thf(func_def_85, type, db3: !>[X0: $tType]:(X0)).
% 2.89/0.89 thf(func_def_86, type, vNOT: ($o > $o)).
% 2.89/0.89 thf(func_def_87, type, vOR: ($o > $o > $o)).
% 2.89/0.89 thf(func_def_88, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.89/0.89 thf(func_def_89, type, sK0: (nat > (nat > $o) > nat)).
% 2.89/0.89 thf(func_def_90, type, sK1: ((nat > $o) > nat)).
% 2.89/0.89 thf(func_def_91, type, sK2: (nat > set_Product_prod_a_a > set_Product_prod_a_a)).
% 2.89/0.89 thf(func_def_92, type, sK3: (set_nat > nat)).
% 2.89/0.89 thf(func_def_93, type, sK4: (nat > set_nat > nat)).
% 2.89/0.89 thf(func_def_94, type, sK5: ((nat > nat) > nat)).
% 2.89/0.89 thf(func_def_95, type, sK6: ((nat > nat) > nat)).
% 2.89/0.89 thf(func_def_96, type, sK7: (set_nat > nat > nat)).
% 2.89/0.89 thf(func_def_97, type, sK8: ((a > $o) > (a > $o) > a)).
% 2.89/0.89 thf(func_def_98, type, sK9: (set_nat > nat)).
% 2.89/0.89 thf(func_def_99, type, sK10: ((a > $o) > a)).
% 2.89/0.89 thf(func_def_100, type, sK11: (set_a > (product_prod_a_a > a > $o) > set_Product_prod_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_101, type, sK12: (set_a > (product_prod_a_a > a > $o) > set_Product_prod_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_102, type, sK13: (set_a > (product_prod_a_a > a > $o) > set_Product_prod_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_103, type, sK14: (set_a > (product_prod_a_a > a > $o) > set_Product_prod_a_a > a)).
% 2.89/0.89 thf(func_def_104, type, sK15: ((set_a > nat) > set_a)).
% 2.89/0.89 thf(func_def_105, type, sK16: ((set_a > nat) > set_a)).
% 2.89/0.89 thf(func_def_106, type, sK17: (set_a > set_set_a > set_a)).
% 2.89/0.89 thf(func_def_107, type, sK18: (set_Product_prod_a_a > nat > set_Product_prod_a_a)).
% 2.89/0.89 thf(func_def_108, type, sK19: ((set_a > set_a) > set_a)).
% 2.89/0.89 thf(func_def_109, type, sK20: ((set_a > set_a) > set_a)).
% 2.89/0.89 thf(func_def_110, type, sK21: ((set_a > set_a) > set_a)).
% 2.89/0.89 thf(func_def_111, type, sK22: ((set_a > set_a) > set_a)).
% 2.89/0.89 thf(func_def_112, type, sK23: (set_Product_prod_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_113, type, sK24: (set_Product_prod_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_114, type, sK25: (set_Product_prod_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_115, type, sK26: (nat > set_nat > nat)).
% 2.89/0.89 thf(func_def_116, type, sK27: (set_set_a > set_a)).
% 2.89/0.89 thf(func_def_117, type, sK28: ((nat > nat > $o) > nat)).
% 2.89/0.89 thf(func_def_118, type, sK29: ((nat > nat > $o) > nat)).
% 2.89/0.89 thf(func_def_119, type, sK30: ((nat > nat > $o) > nat)).
% 2.89/0.89 thf(func_def_120, type, sK31: ((nat > nat > $o) > nat)).
% 2.89/0.89 thf(func_def_121, type, sK32: ((set_a > nat) > set_a)).
% 2.89/0.89 thf(func_def_122, type, sK33: ((set_a > nat) > set_a)).
% 2.89/0.89 thf(func_def_123, type, sK34: ((nat > set_a) > nat)).
% 2.89/0.89 thf(func_def_124, type, sK35: ((nat > set_a) > nat)).
% 2.89/0.89 thf(func_def_125, type, sK36: ((product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a)).
% 2.89/0.89 thf(func_def_126, type, sK37: ((product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a)).
% 2.89/0.89 thf(func_def_127, type, sK38: ((product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a)).
% 2.89/0.89 thf(func_def_128, type, sK39: ((product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a)).
% 2.89/0.89 thf(func_def_129, type, sK40: ((product_prod_a_a > product_prod_a_a > $o) > set_Product_prod_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_130, type, sK41: (nat > set_a > set_a)).
% 2.89/0.89 thf(func_def_131, type, sK42: (set_nat > (nat > nat > $o) > nat)).
% 2.89/0.89 thf(func_def_132, type, sK43: (nat > set_nat > (nat > nat > $o) > nat)).
% 2.89/0.89 thf(func_def_133, type, sK44: (set_nat > (nat > nat > $o) > nat)).
% 2.89/0.89 thf(func_def_134, type, sK45: (set_nat > nat > set_nat)).
% 2.89/0.89 thf(func_def_135, type, sK46: (nat > set_a > set_a)).
% 2.89/0.89 thf(func_def_136, type, sK47: (nat > set_a > set_a)).
% 2.89/0.89 thf(func_def_137, type, sK48: (product_prod_a_a > a)).
% 2.89/0.89 thf(func_def_138, type, sK49: (product_prod_a_a > a)).
% 2.89/0.89 thf(func_def_139, type, sK50: (set_a > a)).
% 2.89/0.89 thf(func_def_140, type, sK51: (set_nat > nat)).
% 2.89/0.89 thf(func_def_141, type, sK52: (set_a > a)).
% 2.89/0.89 thf(func_def_142, type, sK53: ((nat > nat) > nat)).
% 2.89/0.89 thf(func_def_143, type, sK54: ((nat > nat) > nat)).
% 2.89/0.89 thf(func_def_144, type, sK55: (set_Product_prod_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_145, type, sK56: (nat > set_nat > set_nat)).
% 2.89/0.89 thf(func_def_146, type, sK57: ((product_prod_a_a > nat > $o) > set_Product_prod_a_a > set_nat > product_prod_a_a)).
% 2.89/0.89 thf(func_def_147, type, sK58: ((product_prod_a_a > nat > $o) > set_Product_prod_a_a > set_nat > nat)).
% 2.89/0.89 thf(func_def_148, type, sK59: ((product_prod_a_a > nat > $o) > set_Product_prod_a_a > set_nat > product_prod_a_a)).
% 2.89/0.89 thf(func_def_149, type, sK60: ((product_prod_a_a > nat > $o) > set_Product_prod_a_a > set_nat > product_prod_a_a)).
% 2.89/0.89 thf(func_def_150, type, sK61: (set_nat > (nat > nat > $o) > set_nat > nat)).
% 2.89/0.89 thf(func_def_151, type, sK62: (set_nat > (nat > nat > $o) > set_nat > nat)).
% 2.89/0.89 thf(func_def_152, type, sK63: (set_nat > (nat > nat > $o) > set_nat > nat)).
% 2.89/0.89 thf(func_def_153, type, sK64: (set_nat > (nat > nat > $o) > set_nat > nat)).
% 2.89/0.89 thf(func_def_154, type, sK65: (set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_155, type, sK66: (set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_156, type, sK67: ((nat > nat) > nat)).
% 2.89/0.89 thf(func_def_157, type, sK68: ((nat > nat) > nat)).
% 2.89/0.89 thf(func_def_158, type, sK69: (set_Product_prod_a_a > a)).
% 2.89/0.89 thf(func_def_159, type, sK70: (set_Product_prod_a_a > a)).
% 2.89/0.89 thf(func_def_160, type, sK71: (set_Product_prod_a_a > a)).
% 2.89/0.89 thf(func_def_161, type, sK72: (set_nat > set_nat > nat)).
% 2.89/0.89 thf(func_def_162, type, sK73: (set_a > a)).
% 2.89/0.89 thf(func_def_163, type, sK74: (set_nat > nat > set_nat)).
% 2.89/0.89 thf(func_def_164, type, sK75: (set_a > a)).
% 2.89/0.89 thf(func_def_165, type, sK76: (nat > set_a > set_a)).
% 2.89/0.89 thf(func_def_166, type, sK77: (set_Product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > set_Product_prod_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_167, type, sK78: (set_Product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > set_Product_prod_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_168, type, sK79: (set_Product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > set_Product_prod_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_169, type, sK80: (set_Product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > set_Product_prod_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_170, type, sK81: ((product_prod_a_a > nat > $o) > set_Product_prod_a_a > nat)).
% 2.89/0.89 thf(func_def_171, type, sK82: (product_prod_a_a > (product_prod_a_a > nat > $o) > set_Product_prod_a_a > nat)).
% 2.89/0.89 thf(func_def_172, type, sK83: ((product_prod_a_a > nat > $o) > set_Product_prod_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_173, type, sK84: (set_nat > nat)).
% 2.89/0.89 thf(func_def_174, type, sK85: ((nat > a > $o) > set_a > set_nat > nat)).
% 2.89/0.89 thf(func_def_175, type, sK86: ((nat > a > $o) > set_a > set_nat > nat)).
% 2.89/0.89 thf(func_def_176, type, sK87: ((nat > a > $o) > set_a > set_nat > nat)).
% 2.89/0.89 thf(func_def_177, type, sK88: ((nat > a > $o) > set_a > set_nat > a)).
% 2.89/0.89 thf(func_def_178, type, sK89: ((set_a > nat) > set_a)).
% 2.89/0.89 thf(func_def_179, type, sK90: ((set_a > nat) > set_a)).
% 2.89/0.89 thf(func_def_180, type, sK91: (set_Product_prod_a_a > set_a > a)).
% 2.89/0.89 thf(func_def_181, type, sK92: (set_Product_prod_a_a > set_a > a)).
% 2.89/0.89 thf(func_def_182, type, sK93: (set_Product_prod_a_a > set_a > a)).
% 2.89/0.89 thf(func_def_183, type, sK94: (set_Product_prod_a_a > set_a > a)).
% 2.89/0.89 thf(func_def_184, type, sK95: ((a > nat > $o) > set_a > a)).
% 2.89/0.89 thf(func_def_185, type, sK96: ((a > nat > $o) > set_a > nat)).
% 2.89/0.89 thf(func_def_186, type, sK97: (a > (a > nat > $o) > set_a > nat)).
% 2.89/0.89 thf(func_def_187, type, sK98: ((product_prod_a_a > $o) > a)).
% 2.89/0.89 thf(func_def_188, type, sK99: ((product_prod_a_a > $o) > a)).
% 2.89/0.89 thf(func_def_189, type, sK100: ((a > $o) > a)).
% 2.89/0.89 thf(func_def_190, type, sK101: ((set_a > set_a) > set_a)).
% 2.89/0.89 thf(func_def_191, type, sK102: ((set_a > set_a) > set_a)).
% 2.89/0.89 thf(func_def_192, type, sK103: ((a > a > $o) > set_a > set_a > a)).
% 2.89/0.89 thf(func_def_193, type, sK104: ((a > a > $o) > set_a > set_a > a)).
% 2.89/0.89 thf(func_def_194, type, sK105: ((a > a > $o) > set_a > set_a > a)).
% 2.89/0.89 thf(func_def_195, type, sK106: ((a > a > $o) > set_a > set_a > a)).
% 2.89/0.89 thf(func_def_196, type, sK107: (set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_197, type, sK108: (set_set_a > set_a)).
% 2.89/0.89 thf(func_def_198, type, sK109: ((nat > $o) > nat)).
% 2.89/0.89 thf(func_def_199, type, sK110: (nat > (nat > $o) > nat)).
% 2.89/0.89 thf(func_def_200, type, sK111: (set_a > (a > product_prod_a_a > $o) > set_Product_prod_a_a > a)).
% 2.89/0.89 thf(func_def_201, type, sK112: (set_a > (a > product_prod_a_a > $o) > set_Product_prod_a_a > a)).
% 2.89/0.89 thf(func_def_202, type, sK113: (set_a > (a > product_prod_a_a > $o) > set_Product_prod_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_203, type, sK114: (set_a > (a > product_prod_a_a > $o) > set_Product_prod_a_a > a)).
% 2.89/0.89 thf(func_def_204, type, sK115: ((set_a > set_a) > set_a)).
% 2.89/0.89 thf(func_def_205, type, sK116: ((set_a > set_a) > set_a)).
% 2.89/0.89 thf(func_def_206, type, sK117: (set_Product_prod_a_a > set_nat > (nat > product_prod_a_a > $o) > nat)).
% 2.89/0.89 thf(func_def_207, type, sK118: (set_Product_prod_a_a > set_nat > (nat > product_prod_a_a > $o) > product_prod_a_a)).
% 2.89/0.89 thf(func_def_208, type, sK119: (set_Product_prod_a_a > set_nat > (nat > product_prod_a_a > $o) > nat)).
% 2.89/0.89 thf(func_def_209, type, sK120: (set_Product_prod_a_a > set_nat > (nat > product_prod_a_a > $o) > nat)).
% 2.89/0.89 thf(func_def_210, type, sK121: ((nat > nat) > nat)).
% 2.89/0.89 thf(func_def_211, type, sK122: ((nat > nat) > nat)).
% 2.89/0.89 thf(func_def_212, type, sK123: (set_Pr1986765409at_nat > set_nat > nat)).
% 2.89/0.89 thf(func_def_213, type, sK124: (set_Pr1986765409at_nat > set_nat > nat)).
% 2.89/0.89 thf(func_def_214, type, sK125: (set_Product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_215, type, sK126: (set_Product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_216, type, sK127: (set_Product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_217, type, sK128: (set_Product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a)).
% 2.89/0.89 thf(func_def_218, type, sK129: ((nat > set_a) > nat)).
% 2.89/0.89 thf(func_def_219, type, sK130: ((nat > set_a) > nat)).
% 2.89/0.89 thf(func_def_220, type, sK131: ((nat > nat > $o) > set_nat > nat)).
% 2.89/0.89 thf(func_def_221, type, sK132: ((nat > nat > $o) > nat)).
% 2.89/0.89 thf(func_def_222, type, sK133: ((nat > nat > $o) > nat)).
% 2.89/0.89 thf(func_def_223, type, sK134: ((nat > nat > $o) > nat)).
% 2.89/0.89 thf(func_def_224, type, sK135: ((nat > nat > $o) > nat)).
% 2.89/0.89 thf(func_def_225, type, sK136: (set_nat > nat)).
% 2.89/0.89 thf(func_def_226, type, sK137: (set_nat > set_Pr1986765409at_nat > nat)).
% 2.89/0.89 thf(func_def_227, type, sK138: (set_nat > set_Pr1986765409at_nat > nat)).
% 2.89/0.89 thf(func_def_228, type, sK139: (set_nat > set_Pr1986765409at_nat > nat)).
% 2.89/0.89 thf(func_def_229, type, sK140: (set_nat > set_Pr1986765409at_nat > nat)).
% 2.89/0.89 thf(func_def_230, type, sK141: ((nat > set_a) > nat)).
% 2.89/0.89 thf(func_def_231, type, sK142: ((nat > set_a) > nat)).
% 2.89/0.89 thf(func_def_232, type, sK143: (set_nat > nat)).
% 2.89/0.89 thf(func_def_233, type, sK144: (set_nat > set_a > (a > nat > $o) > a)).
% 2.89/0.89 thf(func_def_234, type, sK145: (set_nat > set_a > (a > nat > $o) > a)).
% 2.89/0.89 thf(func_def_235, type, sK146: (set_nat > set_a > (a > nat > $o) > a)).
% 2.89/0.89 thf(func_def_236, type, sK147: (set_nat > set_a > (a > nat > $o) > nat)).
% 2.89/0.89 thf(func_def_237, type, sK148: (set_Product_prod_a_a > set_Product_prod_a_a > a)).
% 2.89/0.89 thf(func_def_238, type, sK149: (set_Product_prod_a_a > set_Product_prod_a_a > a)).
% 2.89/0.89 thf(func_def_239, type, sK150: ((nat > $o) > nat > nat)).
% 2.89/0.89 thf(func_def_240, type, sK151: (product_prod_a_a > a)).
% 2.89/0.89 thf(func_def_241, type, sK152: (product_prod_a_a > a)).
% 2.89/0.89 thf(func_def_242, type, sK153: (set_Product_prod_a_a > nat > set_Product_prod_a_a)).
% 2.89/0.89 thf(func_def_243, type, sK154: (set_a > set_set_a > set_a)).
% 2.89/0.89 thf(func_def_244, type, sK155: (set_nat > nat)).
% 2.89/0.89 thf(func_def_245, type, sK156: ((a > $o) > (a > $o) > a)).
% 2.89/0.89 thf(func_def_246, type, sK157: (set_Product_prod_a_a > set_a > a)).
% 2.89/0.89 thf(func_def_247, type, sK158: (set_Product_prod_a_a > set_a > a)).
% 2.89/0.89 thf(func_def_248, type, sK159: ((set_a > nat) > set_a)).
% 2.89/0.89 thf(func_def_249, type, sK160: ((set_a > nat) > set_a)).
% 2.89/0.89 thf(func_def_250, type, sK161: ((product_prod_a_a > $o) > a)).
% 2.89/0.89 thf(func_def_251, type, sK162: ((product_prod_a_a > $o) > a)).
% 2.89/0.89 thf(func_def_252, type, sK163: ((nat > set_a) > nat)).
% 2.89/0.89 thf(func_def_253, type, sK164: ((nat > set_a) > nat)).
% 2.89/0.89 thf(func_def_254, type, sK165: (set_a > set_a > a)).
% 2.89/0.89 thf(func_def_255, type, sK166: ((a > a > $o) > a)).
% 2.89/0.89 thf(func_def_256, type, sK167: ((a > a > $o) > a)).
% 2.89/0.89 thf(func_def_257, type, sK168: ((a > a > $o) > a)).
% 2.89/0.89 thf(func_def_258, type, sK169: ((a > a > $o) > a)).
% 2.89/0.89 thf(func_def_259, type, sK170: ((a > a > $o) > set_a > a)).
% 2.89/0.89 thf(f2,axiom,(
% 2.89/0.89 (member_a @ x @ carrier)),
% 2.89/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_assms_I1_J)).
% 2.89/0.89 thf(f4,axiom,(
% 2.89/0.89 (ord_less_eq_nat @ (finite_card_a @ (prefer1676310729than_a @ x @ carrier @ relation)) @ (finite_card_a @ (prefer1676310729than_a @ y @ carrier @ relation)))),
% 2.89/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3__092_060open_062card_A_Ino__better__than_Ax_Acarrier_Arelation_J_A_092_060le_062_Acard_A_Ino__better__than_Ay_Acarrier_Arelation_J_092_060close_062)).
% 2.89/0.89 thf(f5,axiom,(
% 2.89/0.89 ! [X1 : a,X0 : a] : ((ord_less_eq_set_a @ (prefer1676310729than_a @ X0 @ carrier @ relation) @ (prefer1676310729than_a @ X1 @ carrier @ relation)) | (ord_less_eq_set_a @ (prefer1676310729than_a @ X1 @ carrier @ relation) @ (prefer1676310729than_a @ X0 @ carrier @ relation)))),
% 2.89/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_nbt__nest)).
% 2.89/0.89 thf(f16,axiom,(
% 2.89/0.89 ! [X0 : a] : ((member_a @ X0 @ carrier) => (finite_finite_a @ (prefer1676310729than_a @ X0 @ carrier @ relation)))),
% 2.89/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_fnt__carrier__fnt__nbt)).
% 2.89/0.89 thf(f120,axiom,(
% 2.89/0.89 ! [X0 : set_a,X1 : set_a] : (! [X2 : a] : ((member_a @ X2 @ X0) => (member_a @ X2 @ X1)) => (ord_less_eq_set_a @ X0 @ X1))),
% 2.89/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_119_subsetI)).
% 2.89/0.89 thf(f212,axiom,(
% 2.89/0.89 ! [X1 : set_a,X0 : set_a] : ((finite_finite_a @ X0) => ((ord_less_eq_set_a @ X1 @ X0) => ((ord_less_eq_nat @ (finite_card_a @ X0) @ (finite_card_a @ X1)) => (X1 = X0))))),
% 2.89/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_211_card__seteq)).
% 2.89/0.89 thf(f355,conjecture,(
% 2.89/0.89 (ord_less_eq_set_a @ (prefer1676310729than_a @ x @ carrier @ relation) @ (prefer1676310729than_a @ y @ carrier @ relation))),
% 2.89/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 2.89/0.89 thf(f356,negated_conjecture,(
% 2.89/0.89 ~(ord_less_eq_set_a @ (prefer1676310729than_a @ x @ carrier @ relation) @ (prefer1676310729than_a @ y @ carrier @ relation))),
% 2.89/0.89 inference(negated_conjecture,[status(cth)],[f355])).
% 2.89/0.89 thf(f460,plain,(
% 2.89/0.89 (ord_less_eq_nat @ (finite_card_a @ (prefer1676310729than_a @ x @ carrier @ relation)) @ (finite_card_a @ (prefer1676310729than_a @ y @ carrier @ relation)))),
% 2.89/0.89 inference(rectify,[],[f4])).
% 2.89/0.89 thf(f461,plain,(
% 2.89/0.89 (((ord_less_eq_nat @ (finite_card_a @ (prefer1676310729than_a @ x @ carrier @ relation)) @ (finite_card_a @ (prefer1676310729than_a @ y @ carrier @ relation)))) = $true)),
% 2.89/0.89 inference(fool_elimination,[],[f460])).
% 2.89/0.89 thf(f623,plain,(
% 2.89/0.89 ! [X0 : a,X1 : a] : ((ord_less_eq_set_a @ (prefer1676310729than_a @ X1 @ carrier @ relation) @ (prefer1676310729than_a @ X0 @ carrier @ relation)) | (ord_less_eq_set_a @ (prefer1676310729than_a @ X0 @ carrier @ relation) @ (prefer1676310729than_a @ X1 @ carrier @ relation)))),
% 2.89/0.89 inference(rectify,[],[f5])).
% 2.89/0.89 thf(f624,plain,(
% 2.89/0.89 ! [X0 : a,X1 : a] : ((((ord_less_eq_set_a @ (prefer1676310729than_a @ X0 @ carrier @ relation) @ (prefer1676310729than_a @ X1 @ carrier @ relation))) = $true) | (((ord_less_eq_set_a @ (prefer1676310729than_a @ X1 @ carrier @ relation) @ (prefer1676310729than_a @ X0 @ carrier @ relation))) = $true))),
% 2.89/0.89 inference(fool_elimination,[],[f623])).
% 2.89/0.89 thf(f625,plain,(
% 2.89/0.89 ! [X0 : set_a,X1 : set_a] : ((finite_finite_a @ X1) => ((ord_less_eq_set_a @ X0 @ X1) => ((ord_less_eq_nat @ (finite_card_a @ X1) @ (finite_card_a @ X0)) => (X1 = X0))))),
% 2.89/0.89 inference(rectify,[],[f212])).
% 2.89/0.89 thf(f626,plain,(
% 2.89/0.89 ! [X0 : set_a,X1 : set_a] : ((((finite_finite_a @ X1)) = $true) => ((((ord_less_eq_set_a @ X0 @ X1)) = $true) => ((((ord_less_eq_nat @ (finite_card_a @ X1) @ (finite_card_a @ X0))) = $true) => (X0 = X1))))),
% 2.89/0.89 inference(fool_elimination,[],[f625])).
% 2.89/0.89 thf(f654,plain,(
% 2.89/0.89 ! [X0 : set_a,X1 : set_a] : (! [X2 : a] : ((member_a @ X2 @ X0) => (member_a @ X2 @ X1)) => (ord_less_eq_set_a @ X0 @ X1))),
% 2.89/0.89 inference(rectify,[],[f120])).
% 2.89/0.89 thf(f655,plain,(
% 2.89/0.89 ! [X0 : set_a,X1 : set_a] : (! [X2 : a] : ((((member_a @ X2 @ X0)) = $true) => (((member_a @ X2 @ X1)) = $true)) => (((ord_less_eq_set_a @ X0 @ X1)) = $true))),
% 2.89/0.89 inference(fool_elimination,[],[f654])).
% 2.89/0.89 thf(f888,plain,(
% 2.89/0.89 (member_a @ x @ carrier)),
% 2.89/0.89 inference(rectify,[],[f2])).
% 2.89/0.89 thf(f889,plain,(
% 2.89/0.89 (((member_a @ x @ carrier)) = $true)),
% 2.89/0.89 inference(fool_elimination,[],[f888])).
% 2.89/0.89 thf(f922,plain,(
% 2.89/0.89 ! [X0 : a] : ((member_a @ X0 @ carrier) => (finite_finite_a @ (prefer1676310729than_a @ X0 @ carrier @ relation)))),
% 2.89/0.89 inference(rectify,[],[f16])).
% 2.89/0.89 thf(f923,plain,(
% 2.89/0.89 ! [X0 : a] : ((((member_a @ X0 @ carrier)) = $true) => (((finite_finite_a @ (prefer1676310729than_a @ X0 @ carrier @ relation))) = $true))),
% 2.89/0.89 inference(fool_elimination,[],[f922])).
% 2.89/0.89 thf(f967,plain,(
% 2.89/0.89 ~(ord_less_eq_set_a @ (prefer1676310729than_a @ x @ carrier @ relation) @ (prefer1676310729than_a @ y @ carrier @ relation))),
% 2.89/0.89 inference(rectify,[],[f356])).
% 2.89/0.89 thf(f968,plain,(
% 2.89/0.89 ~ (((ord_less_eq_set_a @ (prefer1676310729than_a @ x @ carrier @ relation) @ (prefer1676310729than_a @ y @ carrier @ relation))) = $true)),
% 2.89/0.89 inference(fool_elimination,[],[f967])).
% 2.89/0.89 thf(f1094,plain,(
% 2.89/0.89 (((ord_less_eq_set_a @ (prefer1676310729than_a @ x @ carrier @ relation) @ (prefer1676310729than_a @ y @ carrier @ relation))) != $true)),
% 2.89/0.89 inference(flattening,[],[f968])).
% 2.89/0.89 thf(f1270,plain,(
% 2.89/0.89 ! [X0 : a] : ((((finite_finite_a @ (prefer1676310729than_a @ X0 @ carrier @ relation))) = $true) | (((member_a @ X0 @ carrier)) != $true))),
% 2.89/0.89 inference(ennf_transformation,[],[f923])).
% 2.89/0.89 thf(f1394,plain,(
% 2.89/0.89 ! [X0 : set_a,X1 : set_a] : ((((X0 = X1) | (((ord_less_eq_nat @ (finite_card_a @ X1) @ (finite_card_a @ X0))) != $true)) | (((ord_less_eq_set_a @ X0 @ X1)) != $true)) | (((finite_finite_a @ X1)) != $true))),
% 2.89/0.89 inference(ennf_transformation,[],[f626])).
% 2.89/0.89 thf(f1395,plain,(
% 2.89/0.89 ! [X0 : set_a,X1 : set_a] : ((((ord_less_eq_nat @ (finite_card_a @ X1) @ (finite_card_a @ X0))) != $true) | (((ord_less_eq_set_a @ X0 @ X1)) != $true) | (((finite_finite_a @ X1)) != $true) | (X0 = X1))),
% 2.89/0.89 inference(flattening,[],[f1394])).
% 2.89/0.89 thf(f1402,plain,(
% 2.89/0.89 ! [X0 : set_a,X1 : set_a] : ((((ord_less_eq_set_a @ X0 @ X1)) = $true) | ? [X2 : a] : ((((member_a @ X2 @ X1)) != $true) & (((member_a @ X2 @ X0)) = $true)))),
% 2.89/0.89 inference(ennf_transformation,[],[f655])).
% 2.89/0.89 thf(f1890,plain,(
% 2.89/0.89 ! [X0 : set_a,X1 : set_a] : ((((ord_less_eq_set_a @ X0 @ X1)) = $true) | (($true != ((member_a @ (sK165 @ X1 @ X0) @ X1))) & (((member_a @ (sK165 @ X1 @ X0) @ X0)) = $true)))),
% 2.89/0.89 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X4,sK1 @ X0)],[f1402])).
% 2.89/0.89 thf(f2243,plain,(
% 2.89/0.89 (((member_a @ x @ carrier)) = $true)),
% 2.89/0.89 inference(cnf_transformation,[],[f889])).
% 2.89/0.89 thf(f2244,plain,(
% 2.89/0.89 ( ! [X0 : a,X1 : a] : ((((ord_less_eq_set_a @ (prefer1676310729than_a @ X1 @ carrier @ relation) @ (prefer1676310729than_a @ X0 @ carrier @ relation))) = $true) | (((ord_less_eq_set_a @ (prefer1676310729than_a @ X0 @ carrier @ relation) @ (prefer1676310729than_a @ X1 @ carrier @ relation))) = $true)) )),
% 2.89/0.89 inference(cnf_transformation,[],[f624])).
% 2.89/0.89 thf(f2265,plain,(
% 2.89/0.89 ( ! [X0 : a] : ((((member_a @ X0 @ carrier)) != $true) | (((finite_finite_a @ (prefer1676310729than_a @ X0 @ carrier @ relation))) = $true)) )),
% 2.89/0.89 inference(cnf_transformation,[],[f1270])).
% 2.89/0.89 thf(f2350,plain,(
% 2.89/0.89 ( ! [X0 : set_a,X1 : set_a] : ((((finite_finite_a @ X1)) != $true) | (((ord_less_eq_set_a @ X0 @ X1)) != $true) | (X0 = X1) | (((ord_less_eq_nat @ (finite_card_a @ X1) @ (finite_card_a @ X0))) != $true)) )),
% 2.89/0.89 inference(cnf_transformation,[],[f1395])).
% 2.89/0.89 thf(f2487,plain,(
% 2.89/0.89 (((ord_less_eq_nat @ (finite_card_a @ (prefer1676310729than_a @ x @ carrier @ relation)) @ (finite_card_a @ (prefer1676310729than_a @ y @ carrier @ relation)))) = $true)),
% 2.89/0.89 inference(cnf_transformation,[],[f461])).
% 2.89/0.89 thf(f2584,plain,(
% 2.89/0.89 (((ord_less_eq_set_a @ (prefer1676310729than_a @ x @ carrier @ relation) @ (prefer1676310729than_a @ y @ carrier @ relation))) != $true)),
% 2.89/0.89 inference(cnf_transformation,[],[f1094])).
% 2.89/0.89 thf(f2609,plain,(
% 2.89/0.89 ( ! [X0 : set_a,X1 : set_a] : ((((ord_less_eq_set_a @ X0 @ X1)) = $true) | (((member_a @ (sK165 @ X1 @ X0) @ X0)) = $true)) )),
% 2.89/0.89 inference(cnf_transformation,[],[f1890])).
% 2.89/0.89 thf(f2610,plain,(
% 2.89/0.89 ( ! [X0 : set_a,X1 : set_a] : (($true != ((member_a @ (sK165 @ X1 @ X0) @ X1))) | (((ord_less_eq_set_a @ X0 @ X1)) = $true)) )),
% 2.89/0.89 inference(cnf_transformation,[],[f1890])).
% 2.89/0.89 thf(f2880,definition,(
% 2.89/0.89 spl171_28 <=> (((ord_less_eq_set_a @ (prefer1676310729than_a @ x @ carrier @ relation) @ (prefer1676310729than_a @ y @ carrier @ relation))) = $true)),
% 2.89/0.89 introduced(definition,[new_symbols(definition,[spl171_28])],[avatar_definition])).
% 2.89/0.89 thf(f2882,plain,(
% 2.89/0.89 (((ord_less_eq_set_a @ (prefer1676310729than_a @ x @ carrier @ relation) @ (prefer1676310729than_a @ y @ carrier @ relation))) != $true) | spl171_28),
% 2.89/0.89 inference(avatar_component_clause,[],[f2880])).
% 2.89/0.89 thf(f2883,plain,(
% 2.89/0.89 ~spl171_28),
% 2.89/0.89 inference(avatar_split_clause,[],[f2584,f2880])).
% 2.89/0.89 thf(f2890,definition,(
% 2.89/0.89 spl171_30 <=> (((ord_less_eq_nat @ (finite_card_a @ (prefer1676310729than_a @ x @ carrier @ relation)) @ (finite_card_a @ (prefer1676310729than_a @ y @ carrier @ relation)))) = $true)),
% 2.89/0.89 introduced(definition,[new_symbols(definition,[spl171_30])],[avatar_definition])).
% 2.89/0.89 thf(f2892,plain,(
% 2.89/0.89 (((ord_less_eq_nat @ (finite_card_a @ (prefer1676310729than_a @ x @ carrier @ relation)) @ (finite_card_a @ (prefer1676310729than_a @ y @ carrier @ relation)))) = $true) | ~spl171_30),
% 2.89/0.89 inference(avatar_component_clause,[],[f2890])).
% 2.89/0.89 thf(f2893,plain,(
% 2.89/0.89 spl171_30),
% 2.89/0.89 inference(avatar_split_clause,[],[f2487,f2890])).
% 2.89/0.89 thf(f2920,definition,(
% 2.89/0.89 spl171_36 <=> (((member_a @ x @ carrier)) = $true)),
% 2.89/0.89 introduced(definition,[new_symbols(definition,[spl171_36])],[avatar_definition])).
% 2.89/0.89 thf(f2922,plain,(
% 2.89/0.89 (((member_a @ x @ carrier)) = $true) | ~spl171_36),
% 2.89/0.89 inference(avatar_component_clause,[],[f2920])).
% 2.89/0.89 thf(f2923,plain,(
% 2.89/0.89 spl171_36),
% 2.89/0.89 inference(avatar_split_clause,[],[f2243,f2920])).
% 2.89/0.89 thf(f2984,plain,(
% 2.89/0.89 ($true != $true) | ($true = ((finite_finite_a @ (prefer1676310729than_a @ x @ carrier @ relation)))) | ~spl171_36),
% 2.89/0.89 inference(superposition,[],[f2265,f2922])).
% 2.89/0.89 thf(f2985,plain,(
% 2.89/0.89 ($true = ((finite_finite_a @ (prefer1676310729than_a @ x @ carrier @ relation)))) | ~spl171_36),
% 2.89/0.89 inference(trivial_inequality_removal,[],[f2984])).
% 2.89/0.89 thf(f2988,definition,(
% 2.89/0.89 spl171_47 <=> ($true = ((finite_finite_a @ (prefer1676310729than_a @ x @ carrier @ relation))))),
% 2.89/0.89 introduced(definition,[new_symbols(definition,[spl171_47])],[avatar_definition])).
% 2.89/0.89 thf(f2990,plain,(
% 2.89/0.89 ($true = ((finite_finite_a @ (prefer1676310729than_a @ x @ carrier @ relation)))) | ~spl171_47),
% 2.89/0.89 inference(avatar_component_clause,[],[f2988])).
% 2.89/0.89 thf(f2991,plain,(
% 2.89/0.89 spl171_47 | ~spl171_36),
% 2.89/0.89 inference(avatar_split_clause,[],[f2985,f2920,f2988])).
% 2.89/0.89 thf(f3059,plain,(
% 2.89/0.89 ($true = ((ord_less_eq_set_a @ (prefer1676310729than_a @ y @ carrier @ relation) @ (prefer1676310729than_a @ x @ carrier @ relation)))) | spl171_28),
% 2.89/0.89 inference(unit_resulting_resolution,[],[f2244,f2882])).
% 2.89/0.89 thf(f3068,definition,(
% 2.89/0.89 spl171_55 <=> ($true = ((ord_less_eq_set_a @ (prefer1676310729than_a @ y @ carrier @ relation) @ (prefer1676310729than_a @ x @ carrier @ relation))))),
% 2.89/0.89 introduced(definition,[new_symbols(definition,[spl171_55])],[avatar_definition])).
% 2.89/0.89 thf(f3070,plain,(
% 2.89/0.89 ($true = ((ord_less_eq_set_a @ (prefer1676310729than_a @ y @ carrier @ relation) @ (prefer1676310729than_a @ x @ carrier @ relation)))) | ~spl171_55),
% 2.89/0.89 inference(avatar_component_clause,[],[f3068])).
% 2.89/0.89 thf(f3071,plain,(
% 2.89/0.89 spl171_55 | spl171_28),
% 2.89/0.89 inference(avatar_split_clause,[],[f3059,f2880,f3068])).
% 2.89/0.89 thf(f4682,plain,(
% 2.89/0.89 ($true = ((member_a @ (sK165 @ (prefer1676310729than_a @ y @ carrier @ relation) @ (prefer1676310729than_a @ x @ carrier @ relation)) @ (prefer1676310729than_a @ x @ carrier @ relation)))) | spl171_28),
% 2.89/0.89 inference(unit_resulting_resolution,[],[f2609,f2882])).
% 2.89/0.89 thf(f4744,definition,(
% 2.89/0.89 spl171_163 <=> ($true = ((member_a @ (sK165 @ (prefer1676310729than_a @ y @ carrier @ relation) @ (prefer1676310729than_a @ x @ carrier @ relation)) @ (prefer1676310729than_a @ x @ carrier @ relation))))),
% 2.89/0.89 introduced(definition,[new_symbols(definition,[spl171_163])],[avatar_definition])).
% 2.89/0.89 thf(f4747,plain,(
% 2.89/0.89 spl171_163 | spl171_28),
% 2.89/0.89 inference(avatar_split_clause,[],[f4682,f2880,f4744])).
% 2.89/0.89 thf(f4763,plain,(
% 2.89/0.89 (((member_a @ (sK165 @ (prefer1676310729than_a @ y @ carrier @ relation) @ (prefer1676310729than_a @ x @ carrier @ relation)) @ (prefer1676310729than_a @ y @ carrier @ relation))) != $true) | spl171_28),
% 2.89/0.89 inference(unit_resulting_resolution,[],[f2610,f2882])).
% 2.89/0.89 thf(f4776,definition,(
% 2.89/0.89 spl171_168 <=> (((member_a @ (sK165 @ (prefer1676310729than_a @ y @ carrier @ relation) @ (prefer1676310729than_a @ x @ carrier @ relation)) @ (prefer1676310729than_a @ y @ carrier @ relation))) = $true)),
% 2.89/0.89 introduced(definition,[new_symbols(definition,[spl171_168])],[avatar_definition])).
% 2.89/0.89 thf(f4779,plain,(
% 2.89/0.89 ~spl171_168 | spl171_28),
% 2.89/0.89 inference(avatar_split_clause,[],[f4763,f2880,f4776])).
% 2.89/0.89 thf(f5440,plain,(
% 2.89/0.89 (((prefer1676310729than_a @ x @ carrier @ relation)) = ((prefer1676310729than_a @ y @ carrier @ relation))) | (~spl171_30 | ~spl171_47 | ~spl171_55)),
% 2.89/0.89 inference(unit_resulting_resolution,[],[f2350,f2990,f3070,f2892])).
% 2.89/0.89 thf(f5478,definition,(
% 2.89/0.89 spl171_207 <=> (((prefer1676310729than_a @ x @ carrier @ relation)) = ((prefer1676310729than_a @ y @ carrier @ relation)))),
% 2.89/0.89 introduced(definition,[new_symbols(definition,[spl171_207])],[avatar_definition])).
% 2.89/0.89 thf(f5481,plain,(
% 2.89/0.89 spl171_207 | ~spl171_30 | ~spl171_47 | ~spl171_55),
% 2.89/0.89 inference(avatar_split_clause,[],[f5440,f3068,f2988,f2890,f5478])).
% 2.89/0.89 thf(f5491,definition,(
% 2.89/0.89 (((prefer1676310729than_a @ x @ carrier @ relation)) != ((prefer1676310729than_a @ y @ carrier @ relation))) | ($true != ((member_a @ (sK165 @ (prefer1676310729than_a @ y @ carrier @ relation) @ (prefer1676310729than_a @ x @ carrier @ relation)) @ (prefer1676310729than_a @ x @ carrier @ relation)))) | (((member_a @ (sK165 @ (prefer1676310729than_a @ y @ carrier @ relation) @ (prefer1676310729than_a @ x @ carrier @ relation)) @ (prefer1676310729than_a @ y @ carrier @ relation))) = $true)),
% 2.89/0.89 introduced(theory,[theory_tautology_sat_conflict])).
% 2.89/0.89 cnf(s29, plain, ~spl171_28, inference(sat_conversion,[],[f2883])).
% 2.89/0.89 cnf(s34, plain, spl171_30, inference(sat_conversion,[],[f2893])).
% 2.89/0.89 cnf(s41, plain, spl171_36, inference(sat_conversion,[],[f2923])).
% 2.89/0.89 cnf(s60, plain, ~spl171_36 | spl171_47, inference(sat_conversion,[],[f2991])).
% 2.89/0.89 cnf(s73, plain, spl171_28 | spl171_55, inference(sat_conversion,[],[f3071])).
% 2.89/0.89 cnf(s233, plain, spl171_28 | spl171_163, inference(sat_conversion,[],[f4747])).
% 2.89/0.89 cnf(s245, plain, spl171_28 | ~spl171_168, inference(sat_conversion,[],[f4779])).
% 2.89/0.89 cnf(s317, plain, ~spl171_30 | ~spl171_47 | ~spl171_55 | spl171_207, inference(sat_conversion,[],[f5481])).
% 2.89/0.89 cnf(s321, plain, ~spl171_163 | spl171_168 | ~spl171_207, inference(sat_conversion,[],[f5491])).
% 2.89/0.89 cnf(s326, plain, spl171_47, inference(rat,[],[s60,s41])).
% 2.89/0.89 cnf(s332, plain, ~spl171_168, inference(rat,[],[s245,s29])).
% 2.89/0.89 cnf(s333, plain, spl171_163, inference(rat,[],[s233,s29])).
% 2.89/0.89 cnf(s336, plain, spl171_55, inference(rat,[],[s73,s29])).
% 2.89/0.89 cnf(s338, plain, ~spl171_207, inference(rat,[],[s321,s332,s333])).
% 2.89/0.89 cnf(s344, plain, $false, inference(rat,[],[s317,s34,s326,s338,s336])).
% 2.89/0.89 thf(f5492,plain,(
% 2.89/0.89 $false),
% 2.89/0.89 inference(avatar_sat_refutation,[],[s344])).
% 2.89/0.89 % SZS output end Proof for theBenchmark
% 2.89/0.89 % (283642)------------------------------
% 2.89/0.89 % (283642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.89 % (283642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.89 % (283642)CaDiCaL version: 2.1.3
% 2.89/0.89 % (283642)Termination reason: Refutation
% 2.89/0.89 % (283642)Time elapsed: 0.255 s
% 2.89/0.89 % (283642)Peak memory usage: 17 MB
% 2.89/0.89 % (283642)Instructions burned: 495 (million)
% 2.89/0.89 % (283555)Success in time 0.586 s
% 2.89/0.89 % Vampire exiting
%------------------------------------------------------------------------------