%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU633^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 08:30:26 AM UTC 2026
% Result : Theorem 0.78s 0.41s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU633^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n006.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 13:59:55 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.25 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
% 0.78/0.37 % (760330)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.78/0.37 % (760341)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.78/0.37 % (760341)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
% 0.78/0.37 % (760335)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=274155808:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.78/0.37 % (760336)lrs+10_16_si=on:nwc=1.5:random_seed=3296198383:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.78/0.37 % (760337)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2340167637:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.78/0.37 % (760339)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1278567763:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.78/0.37 % (760340)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1427132134:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.78/0.37 % (760338)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=3038676709: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)
% 0.78/0.37 % (760341)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=1591622297:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.78/0.37 % (760337)Instruction limit reached!
% 0.78/0.37 % (760337)------------------------------
% 0.78/0.37 % (760337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.37 % (760337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.37 % (760337)CaDiCaL version: 2.1.3
% 0.78/0.37 % (760337)Termination reason: Instruction limit
% 0.78/0.37 % (760337)Termination phase: shuffling
% 0.78/0.37 % (760337)Time elapsed: 0.002 s
% 0.78/0.37 % (760337)Peak memory usage: 10 MB
% 0.78/0.37 % (760337)Instructions burned: 3 (million)
% 0.78/0.37 % (760336)Instruction limit reached!
% 0.78/0.37 % (760336)------------------------------
% 0.78/0.37 % (760336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.37 % (760336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.37 % (760336)CaDiCaL version: 2.1.3
% 0.78/0.37 % (760336)Termination reason: Instruction limit
% 0.78/0.37 % (760336)Termination phase: Property scanning
% 0.78/0.37 % (760336)Time elapsed: 0.008 s
% 0.78/0.37 % (760336)Peak memory usage: 10 MB
% 0.78/0.37 % (760336)Instructions burned: 18 (million)
% 0.78/0.37 % (760339)Instruction limit reached!
% 0.78/0.37 % (760339)------------------------------
% 0.78/0.37 % (760339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.37 % (760339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.37 % (760339)CaDiCaL version: 2.1.3
% 0.78/0.37 % (760339)Termination reason: Instruction limit
% 0.78/0.37 % (760339)Termination phase: Preprocessing 3
% 0.78/0.37 % (760339)Time elapsed: 0.011 s
% 0.78/0.37 % (760339)Peak memory usage: 11 MB
% 0.78/0.37 % (760339)Instructions burned: 24 (million)
% 0.78/0.37 % (760349)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4100196686:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.78/0.37 % (760349)Instruction limit reached!
% 0.78/0.37 % (760349)------------------------------
% 0.78/0.37 % (760349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.37 % (760349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.37 % (760349)CaDiCaL version: 2.1.3
% 0.78/0.37 % (760349)Termination reason: Instruction limit
% 0.78/0.37 % (760349)Termination phase: shuffling
% 0.78/0.37 % (760349)Time elapsed: 0.002 s
% 0.78/0.37 % (760349)Peak memory usage: 10 MB
% 0.78/0.37 % (760349)Instructions burned: 3 (million)
% 0.78/0.37 % (760351)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.37 % (760350)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2041700167:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.78/0.40 % (760350)Instruction limit reached!
% 0.78/0.40 % (760350)------------------------------
% 0.78/0.40 % (760350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.40 % (760350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.40 % (760350)CaDiCaL version: 2.1.3
% 0.78/0.40 % (760350)Termination reason: Instruction limit
% 0.78/0.40 % (760350)Termination phase: shuffling
% 0.78/0.40 % (760350)Time elapsed: 0.003 s
% 0.78/0.40 % (760350)Peak memory usage: 10 MB
% 0.78/0.40 % (760350)Instructions burned: 6 (million)
% 0.78/0.40 % (760351)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3871790260:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.78/0.40 % (760340)Instruction limit reached!
% 0.78/0.40 % (760340)------------------------------
% 0.78/0.40 % (760340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.40 % (760340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.40 % (760340)CaDiCaL version: 2.1.3
% 0.78/0.40 % (760340)Termination reason: Instruction limit
% 0.78/0.40 % (760340)Termination phase: Property scanning
% 0.78/0.40 % (760340)Time elapsed: 0.035 s
% 0.78/0.40 % (760340)Peak memory usage: 12 MB
% 0.78/0.40 % (760340)Instructions burned: 77 (million)
% 0.78/0.40 % (760351)Instruction limit reached!
% 0.78/0.40 % (760351)------------------------------
% 0.78/0.40 % (760351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.40 % (760351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.40 % (760351)CaDiCaL version: 2.1.3
% 0.78/0.40 % (760351)Termination reason: Instruction limit
% 0.78/0.40 % (760351)Termination phase: shuffling
% 0.78/0.40 % (760351)Time elapsed: 0.004 s
% 0.78/0.40 % (760351)Peak memory usage: 10 MB
% 0.78/0.40 % (760351)Instructions burned: 9 (million)
% 0.78/0.40 % (760335)Instruction limit reached!
% 0.78/0.40 % (760335)------------------------------
% 0.78/0.40 % (760335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.40 % (760335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.40 % (760335)CaDiCaL version: 2.1.3
% 0.78/0.40 % (760335)Termination reason: Instruction limit
% 0.78/0.40 % (760335)Termination phase: Property scanning
% 0.78/0.40 % (760335)Time elapsed: 0.040 s
% 0.78/0.40 % (760335)Peak memory usage: 12 MB
% 0.78/0.40 % (760335)Instructions burned: 89 (million)
% 0.78/0.40 % (760353)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2415416704:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.78/0.40 % (760356)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
% 0.78/0.40 % (760356)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.40 % (760353)Instruction limit reached!
% 0.78/0.40 % (760353)------------------------------
% 0.78/0.40 % (760353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.40 % (760353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.40 % (760353)CaDiCaL version: 2.1.3
% 0.78/0.40 % (760353)Termination reason: Instruction limit
% 0.78/0.40 % (760353)Termination phase: shuffling
% 0.78/0.40 % (760353)Time elapsed: 0.004 s
% 0.78/0.40 % (760353)Peak memory usage: 10 MB
% 0.78/0.40 % (760353)Instructions burned: 16 (million)
% 0.78/0.40 % (760356)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3900315438:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.78/0.40 % (760357)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=1391804142:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.78/0.40 % (760358)lrs+10_1_si=on:cs=on:random_seed=2012621380:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.78/0.40 % (760359)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.78/0.41 % (760359)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=4065648563:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.78/0.41 % (760358)Instruction limit reached!
% 0.78/0.41 % (760358)------------------------------
% 0.78/0.41 % (760358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (760358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (760358)CaDiCaL version: 2.1.3
% 0.78/0.41 % (760358)Termination reason: Instruction limit
% 0.78/0.41 % (760358)Termination phase: shuffling
% 0.78/0.41 % (760358)Time elapsed: 0.004 s
% 0.78/0.41 % (760358)Peak memory usage: 10 MB
% 0.78/0.41 % (760358)Instructions burned: 8 (million)
% 0.78/0.41 % (760361)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3919639456:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.78/0.41 % (760359)Instruction limit reached!
% 0.78/0.41 % (760359)------------------------------
% 0.78/0.41 % (760359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (760359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (760359)CaDiCaL version: 2.1.3
% 0.78/0.41 % (760359)Termination reason: Instruction limit
% 0.78/0.41 % (760359)Termination phase: shuffling
% 0.78/0.41 % (760359)Time elapsed: 0.001 s
% 0.78/0.41 % (760359)Peak memory usage: 9 MB
% 0.78/0.41 % (760359)Instructions burned: 2 (million)
% 0.78/0.41 % (760356)Instruction limit reached!
% 0.78/0.41 % (760356)------------------------------
% 0.78/0.41 % (760356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (760356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (760356)CaDiCaL version: 2.1.3
% 0.78/0.41 % (760356)Termination reason: Instruction limit
% 0.78/0.41 % (760356)Termination phase: Property scanning
% 0.78/0.41 % (760356)Time elapsed: 0.013 s
% 0.78/0.41 % (760356)Peak memory usage: 10 MB
% 0.78/0.41 % (760356)Instructions burned: 28 (million)
% 0.78/0.41 % (760341)Instruction limit reached!
% 0.78/0.41 % (760341)------------------------------
% 0.78/0.41 % (760341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (760341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (760341)CaDiCaL version: 2.1.3
% 0.78/0.41 % (760341)Termination reason: Instruction limit
% 0.78/0.41 % (760341)Termination phase: Saturation
% 0.78/0.41 % (760341)Time elapsed: 0.069 s
% 0.78/0.41 % (760341)Peak memory usage: 14 MB
% 0.78/0.41 % (760341)Instructions burned: 158 (million)
% 0.78/0.41 % (760361)Instruction limit reached!
% 0.78/0.41 % (760361)------------------------------
% 0.78/0.41 % (760361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (760361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (760361)CaDiCaL version: 2.1.3
% 0.78/0.41 % (760361)Termination reason: Instruction limit
% 0.78/0.41 % (760361)Termination phase: Preprocessing 3
% 0.78/0.41 % (760361)Time elapsed: 0.011 s
% 0.78/0.41 % (760361)Peak memory usage: 12 MB
% 0.78/0.41 % (760361)Instructions burned: 41 (million)
% 0.78/0.41 % (760367)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3161640470:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.78/0.41 % (760368)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1295167702:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.78/0.41 % (760371)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2913711765:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.78/0.41 % (760369)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2005721324:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.78/0.41 % (760371)Instruction limit reached!
% 0.78/0.41 % (760371)------------------------------
% 0.78/0.41 % (760371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (760371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (760371)CaDiCaL version: 2.1.3
% 0.78/0.41 % (760371)Termination reason: Instruction limit
% 0.78/0.41 % (760371)Termination phase: Property scanning
% 0.78/0.41 % (760371)Time elapsed: 0.004 s
% 0.78/0.41 % (760371)Peak memory usage: 10 MB
% 0.78/0.41 % (760371)Instructions burned: 17 (million)
% 0.78/0.41 % (760370)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2245912342:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.78/0.41 % (760369)Instruction limit reached!
% 0.78/0.41 % (760369)------------------------------
% 0.78/0.41 % (760369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (760369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (760369)CaDiCaL version: 2.1.3
% 0.78/0.41 % (760369)Termination reason: Instruction limit
% 0.78/0.41 % (760369)Termination phase: shuffling
% 0.78/0.41 % (760369)Time elapsed: 0.006 s
% 0.78/0.41 % (760369)Peak memory usage: 10 MB
% 0.78/0.41 % (760369)Instructions burned: 14 (million)
% 0.78/0.41 % (760357)Instruction limit reached!
% 0.78/0.41 % (760357)------------------------------
% 0.78/0.41 % (760357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (760357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (760357)CaDiCaL version: 2.1.3
% 0.78/0.41 % (760357)Termination reason: Instruction limit
% 0.78/0.41 % (760357)Termination phase: Saturation
% 0.78/0.41 % (760357)Time elapsed: 0.037 s
% 0.78/0.41 % (760357)Peak memory usage: 12 MB
% 0.78/0.41 % (760357)Instructions burned: 87 (million)
% 0.78/0.41 % (760368)Instruction limit reached!
% 0.78/0.41 % (760368)------------------------------
% 0.78/0.41 % (760368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (760368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (760368)CaDiCaL version: 2.1.3
% 0.78/0.41 % (760368)Termination reason: Instruction limit
% 0.78/0.41 % (760368)Termination phase: Preprocessing 3
% 0.78/0.41 % (760368)Time elapsed: 0.012 s
% 0.78/0.41 % (760368)Peak memory usage: 11 MB
% 0.78/0.41 % (760368)Instructions burned: 25 (million)
% 0.78/0.41 % (760376)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3759717641: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)
% 0.78/0.41 % (760376)Instruction limit reached!
% 0.78/0.41 % (760376)------------------------------
% 0.78/0.41 % (760376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (760376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (760376)CaDiCaL version: 2.1.3
% 0.78/0.41 % (760376)Termination reason: Instruction limit
% 0.78/0.41 % (760376)Termination phase: shuffling
% 0.78/0.41 % (760376)Time elapsed: 0.001 s
% 0.78/0.41 % (760376)Peak memory usage: 10 MB
% 0.78/0.41 % (760376)Instructions burned: 3 (million)
% 0.78/0.41 % (760382)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
% 0.78/0.41 % (760382)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.78/0.41 % (760382)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=3451178873:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.78/0.41 % (760378)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2016310724:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.78/0.41 % (760379)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=298620434:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.78/0.41 % (760380)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3627387905:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.78/0.41 % (760382)Instruction limit reached!
% 0.78/0.41 % (760382)------------------------------
% 0.78/0.41 % (760382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (760382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (760382)CaDiCaL version: 2.1.3
% 0.78/0.41 % (760382)Termination reason: Instruction limit
% 0.78/0.41 % (760382)Termination phase: shuffling
% 0.78/0.41 % (760382)Time elapsed: 0.004 s
% 0.78/0.41 % (760382)Peak memory usage: 10 MB
% 0.78/0.41 % (760382)Instructions burned: 18 (million)
% 0.78/0.41 % (760338) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-760330-760338"...
% 0.78/0.41 % (760378)Instruction limit reached!
% 0.78/0.41 % (760378)------------------------------
% 0.78/0.41 % (760378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (760378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (760378)CaDiCaL version: 2.1.3
% 0.78/0.41 % (760378)Termination reason: Instruction limit
% 0.78/0.41 % (760378)Termination phase: Property scanning
% 0.78/0.41 % (760378)Time elapsed: 0.012 s
% 0.78/0.41 % (760378)Peak memory usage: 10 MB
% 0.78/0.41 % (760378)Instructions burned: 28 (million)
% 0.78/0.41 % (760387)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.78/0.41 % (760379)Instruction limit reached!
% 0.78/0.41 % (760379)------------------------------
% 0.78/0.41 % (760379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (760379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (760379)CaDiCaL version: 2.1.3
% 0.78/0.41 % (760379)Termination reason: Instruction limit
% 0.78/0.41 % (760379)Termination phase: Property scanning
% 0.78/0.41 % (760379)Time elapsed: 0.011 s
% 0.78/0.41 % (760379)Peak memory usage: 10 MB
% 0.78/0.41 % (760379)Instructions burned: 24 (million)
% 0.78/0.41 % (760338)...printing done.
% 0.78/0.41 % (760387)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=2100066685:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.78/0.41 % (760338)Refutation found. Thanks to Tanya!
% 0.78/0.41 % SZS status Theorem for theBenchmark
% 0.78/0.41 % SZS output start Proof for theBenchmark
% 0.78/0.41 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.78/0.41 thf(func_def_0, type, in: ($i > $i > $o)).
% 0.78/0.41 thf(func_def_1, type, exu: (($i > $o) > $o)).
% 0.78/0.41 thf(func_def_3, type, setextAx: $o).
% 0.78/0.41 thf(func_def_5, type, emptysetAx: $o).
% 0.78/0.41 thf(func_def_6, type, setadjoin: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_7, type, setadjoinAx: $o).
% 0.78/0.41 thf(func_def_8, type, powerset: ($i > $i)).
% 0.78/0.41 thf(func_def_9, type, powersetAx: $o).
% 0.78/0.41 thf(func_def_10, type, setunion: ($i > $i)).
% 0.78/0.41 thf(func_def_11, type, setunionAx: $o).
% 0.78/0.41 thf(func_def_13, type, omega0Ax: $o).
% 0.78/0.41 thf(func_def_14, type, omegaSAx: $o).
% 0.78/0.41 thf(func_def_15, type, omegaIndAx: $o).
% 0.78/0.41 thf(func_def_16, type, replAx: $o).
% 0.78/0.41 thf(func_def_17, type, foundationAx: $o).
% 0.78/0.41 thf(func_def_18, type, wellorderingAx: $o).
% 0.78/0.41 thf(func_def_19, type, descr: (($i > $o) > $i)).
% 0.78/0.41 thf(func_def_20, type, descrp: $o).
% 0.78/0.41 thf(func_def_21, type, dsetconstr: ($i > ($i > $o) > $i)).
% 0.78/0.41 thf(func_def_22, type, dsetconstrI: $o).
% 0.78/0.41 thf(func_def_23, type, dsetconstrEL: $o).
% 0.78/0.41 thf(func_def_24, type, dsetconstrER: $o).
% 0.78/0.41 thf(func_def_25, type, exuE1: $o).
% 0.78/0.41 thf(func_def_26, type, prop2set: ($o > $i)).
% 0.78/0.41 thf(func_def_27, type, prop2setE: $o).
% 0.78/0.41 thf(func_def_28, type, emptysetE: $o).
% 0.78/0.41 thf(func_def_29, type, emptysetimpfalse: $o).
% 0.78/0.41 thf(func_def_30, type, notinemptyset: $o).
% 0.78/0.41 thf(func_def_31, type, exuE3e: $o).
% 0.78/0.41 thf(func_def_32, type, setext: $o).
% 0.78/0.41 thf(func_def_33, type, emptyI: $o).
% 0.78/0.41 thf(func_def_34, type, noeltsimpempty: $o).
% 0.78/0.41 thf(func_def_35, type, setbeta: $o).
% 0.78/0.41 thf(func_def_36, type, nonempty: ($i > $o)).
% 0.78/0.41 thf(func_def_37, type, nonemptyE1: $o).
% 0.78/0.41 thf(func_def_38, type, nonemptyI: $o).
% 0.78/0.41 thf(func_def_39, type, nonemptyI1: $o).
% 0.78/0.41 thf(func_def_40, type, setadjoinIL: $o).
% 0.78/0.41 thf(func_def_41, type, emptyinunitempty: $o).
% 0.78/0.41 thf(func_def_42, type, setadjoinIR: $o).
% 0.78/0.41 thf(func_def_43, type, setadjoinE: $o).
% 0.78/0.41 thf(func_def_44, type, setadjoinOr: $o).
% 0.78/0.41 thf(func_def_45, type, setoftrueEq: $o).
% 0.78/0.41 thf(func_def_46, type, powersetI: $o).
% 0.78/0.41 thf(func_def_47, type, emptyinPowerset: $o).
% 0.78/0.41 thf(func_def_48, type, emptyInPowerset: $o).
% 0.78/0.41 thf(func_def_49, type, powersetE: $o).
% 0.78/0.41 thf(func_def_50, type, setunionI: $o).
% 0.78/0.41 thf(func_def_51, type, setunionE: $o).
% 0.78/0.41 thf(func_def_52, type, subPowSU: $o).
% 0.78/0.41 thf(func_def_53, type, exuE2: $o).
% 0.78/0.41 thf(func_def_54, type, nonemptyImpWitness: $o).
% 0.78/0.41 thf(func_def_55, type, uniqinunit: $o).
% 0.78/0.41 thf(func_def_56, type, notinsingleton: $o).
% 0.78/0.41 thf(func_def_57, type, eqinunit: $o).
% 0.78/0.41 thf(func_def_58, type, singletonsswitch: $o).
% 0.78/0.41 thf(func_def_59, type, upairsetE: $o).
% 0.78/0.41 thf(func_def_60, type, upairsetIL: $o).
% 0.78/0.41 thf(func_def_61, type, upairsetIR: $o).
% 0.78/0.41 thf(func_def_62, type, emptyE1: $o).
% 0.78/0.41 thf(func_def_63, type, vacuousDall: $o).
% 0.78/0.41 thf(func_def_64, type, quantDeMorgan1: $o).
% 0.78/0.41 thf(func_def_65, type, quantDeMorgan2: $o).
% 0.78/0.41 thf(func_def_66, type, quantDeMorgan3: $o).
% 0.78/0.41 thf(func_def_67, type, quantDeMorgan4: $o).
% 0.78/0.41 thf(func_def_68, type, prop2setI: $o).
% 0.78/0.41 thf(func_def_69, type, set2prop: ($i > $o)).
% 0.78/0.41 thf(func_def_70, type, prop2set2propI: $o).
% 0.78/0.41 thf(func_def_71, type, notdexE: $o).
% 0.78/0.41 thf(func_def_72, type, notdallE: $o).
% 0.78/0.41 thf(func_def_73, type, exuI1: $o).
% 0.78/0.41 thf(func_def_74, type, exuI3: $o).
% 0.78/0.41 thf(func_def_75, type, exuI2: $o).
% 0.78/0.41 thf(func_def_76, type, inCongP: $o).
% 0.78/0.41 thf(func_def_77, type, in__Cong: $o).
% 0.78/0.41 thf(func_def_78, type, exuE3u: $o).
% 0.78/0.41 thf(func_def_79, type, exu__Cong: $o).
% 0.78/0.41 thf(func_def_80, type, emptyset__Cong: $o).
% 0.78/0.41 thf(func_def_81, type, setadjoin__Cong: $o).
% 0.78/0.41 thf(func_def_82, type, powerset__Cong: $o).
% 0.78/0.41 thf(func_def_83, type, setunion__Cong: $o).
% 0.78/0.41 thf(func_def_84, type, omega__Cong: $o).
% 0.78/0.41 thf(func_def_85, type, exuEu: $o).
% 0.78/0.41 thf(func_def_86, type, descr__Cong: $o).
% 0.78/0.41 thf(func_def_87, type, dsetconstr__Cong: $o).
% 0.78/0.41 thf(func_def_88, type, subset: ($i > $i > $o)).
% 0.78/0.41 thf(func_def_89, type, disjoint: ($i > $i > $o)).
% 0.78/0.41 thf(func_def_90, type, setsmeet: ($i > $i > $o)).
% 0.78/0.41 thf(func_def_91, type, subsetI1: $o).
% 0.78/0.41 thf(func_def_92, type, eqimpsubset2: $o).
% 0.78/0.41 thf(func_def_93, type, eqimpsubset1: $o).
% 0.78/0.41 thf(func_def_94, type, subsetI2: $o).
% 0.78/0.41 thf(func_def_95, type, emptysetsubset: $o).
% 0.78/0.41 thf(func_def_96, type, subsetE: $o).
% 0.78/0.41 thf(func_def_97, type, subsetE2: $o).
% 0.78/0.41 thf(func_def_98, type, notsubsetI: $o).
% 0.78/0.41 thf(func_def_99, type, notequalI1: $o).
% 0.78/0.41 thf(func_def_100, type, notequalI2: $o).
% 0.78/0.41 thf(func_def_101, type, subsetRefl: $o).
% 0.78/0.41 thf(func_def_102, type, subsetTrans: $o).
% 0.78/0.41 thf(func_def_103, type, setadjoinSub: $o).
% 0.78/0.41 thf(func_def_104, type, setadjoinSub2: $o).
% 0.78/0.41 thf(func_def_105, type, subset2powerset: $o).
% 0.78/0.41 thf(func_def_106, type, setextsub: $o).
% 0.78/0.41 thf(func_def_107, type, subsetemptysetimpeq: $o).
% 0.78/0.41 thf(func_def_108, type, powersetI1: $o).
% 0.78/0.41 thf(func_def_109, type, powersetE1: $o).
% 0.78/0.41 thf(func_def_110, type, inPowerset: $o).
% 0.78/0.41 thf(func_def_111, type, powersetsubset: $o).
% 0.78/0.41 thf(func_def_112, type, sepInPowerset: $o).
% 0.78/0.41 thf(func_def_113, type, sepSubset: $o).
% 0.78/0.41 thf(func_def_114, type, binunion: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_115, type, binunionIL: $o).
% 0.78/0.41 thf(func_def_116, type, upairset2IR: $o).
% 0.78/0.41 thf(func_def_117, type, binunionIR: $o).
% 0.78/0.41 thf(func_def_118, type, binunionEcases: $o).
% 0.78/0.41 thf(func_def_119, type, binunionE: $o).
% 0.78/0.41 thf(func_def_120, type, binunionLsub: $o).
% 0.78/0.41 thf(func_def_121, type, binunionRsub: $o).
% 0.78/0.41 thf(func_def_122, type, binintersect: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_123, type, binintersectI: $o).
% 0.78/0.41 thf(func_def_124, type, binintersectSubset5: $o).
% 0.78/0.41 thf(func_def_125, type, binintersectEL: $o).
% 0.78/0.41 thf(func_def_126, type, binintersectLsub: $o).
% 0.78/0.41 thf(func_def_127, type, binintersectSubset2: $o).
% 0.78/0.41 thf(func_def_128, type, binintersectSubset3: $o).
% 0.78/0.41 thf(func_def_129, type, binintersectER: $o).
% 0.78/0.41 thf(func_def_130, type, disjointsetsI1: $o).
% 0.78/0.41 thf(func_def_131, type, binintersectRsub: $o).
% 0.78/0.41 thf(func_def_132, type, binintersectSubset4: $o).
% 0.78/0.41 thf(func_def_133, type, binintersectSubset1: $o).
% 0.78/0.41 thf(func_def_134, type, bs114d: $o).
% 0.78/0.41 thf(func_def_135, type, regular: ($i > $o)).
% 0.78/0.41 thf(func_def_136, type, setminus: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_137, type, setminusI: $o).
% 0.78/0.41 thf(func_def_138, type, setminusEL: $o).
% 0.78/0.41 thf(func_def_139, type, setminusER: $o).
% 0.78/0.41 thf(func_def_140, type, setminusSubset2: $o).
% 0.78/0.41 thf(func_def_141, type, setminusERneg: $o).
% 0.78/0.41 thf(func_def_142, type, setminusELneg: $o).
% 0.78/0.41 thf(func_def_143, type, setminusILneg: $o).
% 0.78/0.41 thf(func_def_144, type, setminusIRneg: $o).
% 0.78/0.41 thf(func_def_145, type, setminusLsub: $o).
% 0.78/0.41 thf(func_def_146, type, setminusSubset1: $o).
% 0.78/0.41 thf(func_def_147, type, symdiff: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_148, type, symdiffE: $o).
% 0.78/0.41 thf(func_def_149, type, symdiffI1: $o).
% 0.78/0.41 thf(func_def_150, type, symdiffI2: $o).
% 0.78/0.41 thf(func_def_151, type, symdiffIneg1: $o).
% 0.78/0.41 thf(func_def_152, type, symdiffIneg2: $o).
% 0.78/0.41 thf(func_def_153, type, iskpair: ($i > $o)).
% 0.78/0.41 thf(func_def_154, type, secondinupair: $o).
% 0.78/0.41 thf(func_def_155, type, setukpairIL: $o).
% 0.78/0.41 thf(func_def_156, type, setukpairIR: $o).
% 0.78/0.41 thf(func_def_157, type, kpairiskpair: $o).
% 0.78/0.41 thf(func_def_158, type, kpair: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_159, type, kpairp: $o).
% 0.78/0.41 thf(func_def_160, type, cartprod: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_161, type, singletonsubset: $o).
% 0.78/0.41 thf(func_def_162, type, singletoninpowerset: $o).
% 0.78/0.41 thf(func_def_163, type, singletoninpowunion: $o).
% 0.78/0.41 thf(func_def_164, type, upairset2E: $o).
% 0.78/0.41 thf(func_def_165, type, upairsubunion: $o).
% 0.78/0.41 thf(func_def_166, type, upairinpowunion: $o).
% 0.78/0.41 thf(func_def_167, type, ubforcartprodlem1: $o).
% 0.78/0.41 thf(func_def_168, type, ubforcartprodlem2: $o).
% 0.78/0.41 thf(func_def_169, type, ubforcartprodlem3: $o).
% 0.78/0.41 thf(func_def_170, type, cartprodpairin: $o).
% 0.78/0.41 thf(func_def_171, type, cartprodmempair1: $o).
% 0.78/0.41 thf(func_def_172, type, cartprodmempair: $o).
% 0.78/0.41 thf(func_def_175, type, db0: !>[X0: $tType]:(X0)).
% 0.78/0.41 thf(func_def_176, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.78/0.41 thf(func_def_177, type, db1: !>[X0: $tType]:(X0)).
% 0.78/0.41 thf(func_def_178, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.78/0.41 thf(func_def_179, type, vAND: ($o > $o > $o)).
% 0.78/0.41 thf(func_def_180, type, db2: !>[X0: $tType]:(X0)).
% 0.78/0.41 thf(func_def_181, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.78/0.41 thf(func_def_182, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.78/0.41 thf(func_def_183, type, vIMP: ($o > $o > $o)).
% 0.78/0.41 thf(func_def_184, type, vNOT: ($o > $o)).
% 0.78/0.41 thf(func_def_185, type, sP0: ($i > $i > $o)).
% 0.78/0.41 thf(func_def_186, type, sP1: ($i > $o)).
% 0.78/0.41 thf(func_def_187, type, sP2: $o).
% 0.78/0.41 thf(func_def_190, type, sK5: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_191, type, sK6: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_211, type, sK26: ($i > $o)).
% 0.78/0.41 thf(func_def_222, type, sK37: ($i > $o)).
% 0.78/0.41 thf(func_def_232, type, sK47: ($i > $o)).
% 0.78/0.41 thf(func_def_236, type, sK51: ($i > $o)).
% 0.78/0.41 thf(func_def_237, type, sK52: ($i > $o)).
% 0.78/0.41 thf(func_def_238, type, sK53: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 0.78/0.41 thf(func_def_239, type, sK54: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 0.78/0.41 thf(func_def_251, type, sK66: ($i > ($i > $o) > $i)).
% 0.78/0.41 thf(func_def_252, type, sK67: ($i > $o)).
% 0.78/0.41 thf(func_def_268, type, sK83: ($i > $o)).
% 0.78/0.41 thf(func_def_271, type, sK86: ($i > ($i > $o) > $i)).
% 0.78/0.41 thf(func_def_272, type, sK87: ($i > $o)).
% 0.78/0.41 thf(func_def_278, type, sK93: $o).
% 0.78/0.41 thf(func_def_279, type, sK94: ($i > $o)).
% 0.78/0.41 thf(func_def_302, type, sK117: ($i > $o)).
% 0.78/0.41 thf(func_def_304, type, sK119: (($i > $o) > $i)).
% 0.78/0.41 thf(func_def_305, type, sK120: (($i > $o) > $i)).
% 0.78/0.41 thf(func_def_310, type, sK125: ($i > $i)).
% 0.78/0.41 thf(func_def_318, type, sK133: ($i > $o)).
% 0.78/0.41 thf(func_def_320, type, sK135: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_323, type, sK138: ($i > ($i > $i > $o) > $i)).
% 0.78/0.41 thf(func_def_324, type, sK139: ($i > ($i > $i > $o) > $i)).
% 0.78/0.41 thf(func_def_325, type, sK140: ($i > $i > ($i > $i > $o) > $i)).
% 0.78/0.41 thf(func_def_326, type, sK141: ($i > $i > $o)).
% 0.78/0.41 thf(func_def_328, type, sK143: ($i > $i)).
% 0.78/0.41 thf(func_def_329, type, sK144: ($i > $i)).
% 0.78/0.41 thf(func_def_334, type, sK149: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_337, type, sK152: $o).
% 0.78/0.41 thf(func_def_344, type, sK159: ($i > $i)).
% 0.78/0.41 thf(func_def_349, type, sK164: ($i > $i)).
% 0.78/0.41 thf(func_def_350, type, sK165: ($i > $i)).
% 0.78/0.41 thf(func_def_353, type, sK168: ($i > $i)).
% 0.78/0.41 thf(func_def_375, type, sK190: ($i > $o)).
% 0.78/0.41 thf(func_def_376, type, sK191: ($i > $o)).
% 0.78/0.41 thf(func_def_377, type, sK192: (($i > $o) > ($i > $o) > $i)).
% 0.78/0.41 thf(func_def_378, type, sK193: (($i > $o) > ($i > $o) > $i)).
% 0.78/0.41 thf(func_def_387, type, sK202: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_390, type, sK205: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_395, type, sK210: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_403, type, sK218: ($i > $o)).
% 0.78/0.41 thf(func_def_406, type, sK221: (($i > $o) > $i)).
% 0.78/0.41 thf(func_def_407, type, sK222: ($i > $o)).
% 0.78/0.41 thf(func_def_408, type, sK223: ($i > $i)).
% 0.78/0.41 thf(func_def_415, type, sK230: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_416, type, sK231: ($i > $o)).
% 0.78/0.41 thf(func_def_417, type, sK232: ($i > $i)).
% 0.78/0.41 thf(func_def_418, type, sK233: (($i > $o) > $i)).
% 0.78/0.41 thf(func_def_421, type, sK236: ($i > $i)).
% 0.78/0.41 thf(func_def_427, type, sK242: ($i > $i)).
% 0.78/0.41 thf(func_def_428, type, sK243: ($i > $i)).
% 0.78/0.41 thf(func_def_429, type, sK244: ($i > $i)).
% 0.78/0.41 thf(func_def_430, type, sK245: ($i > $i)).
% 0.78/0.41 thf(func_def_431, type, sK246: ($i > $i)).
% 0.78/0.41 thf(func_def_432, type, sK247: ($i > $i > $i > $i)).
% 0.78/0.41 thf(func_def_433, type, sK248: ($i > $i)).
% 0.78/0.41 thf(func_def_434, type, sK249: ($i > $i)).
% 0.78/0.41 thf(func_def_435, type, sK250: ($i > $i)).
% 0.78/0.41 thf(func_def_436, type, sK251: ($i > $i)).
% 0.78/0.41 thf(func_def_437, type, sK252: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_438, type, sK253: ($i > $i > $i > $i)).
% 0.78/0.41 thf(func_def_439, type, sK254: ($i > $i > $i > $i)).
% 0.78/0.41 thf(func_def_440, type, sK255: ($i > $i > $i > $i)).
% 0.78/0.41 thf(func_def_441, type, sK256: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_442, type, sK257: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_443, type, sK258: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_444, type, sK259: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_451, type, sK266: $o).
% 0.78/0.41 thf(func_def_457, type, sK272: $o).
% 0.78/0.41 thf(func_def_461, type, sK276: ($i > $o)).
% 0.78/0.41 thf(func_def_466, type, sK281: $o).
% 0.78/0.41 thf(func_def_486, type, sK301: ($i > $o)).
% 0.78/0.41 thf(func_def_489, type, sK304: ($i > $o)).
% 0.78/0.41 thf(func_def_500, type, sK315: ($i > $i > $i > $i)).
% 0.78/0.41 thf(func_def_501, type, sK316: ($i > $i > $i > $i)).
% 0.78/0.41 thf(func_def_502, type, sK317: ($i > $o)).
% 0.78/0.41 thf(func_def_505, type, sK320: ($i > ($i > $o) > $i)).
% 0.78/0.41 thf(func_def_510, type, sK325: ($i > $o)).
% 0.78/0.41 thf(func_def_511, type, sK326: ($i > $o)).
% 0.78/0.41 thf(func_def_512, type, sK327: (($i > $o) > ($i > $o) > $i)).
% 0.78/0.41 thf(func_def_513, type, sK328: (($i > $o) > ($i > $o) > $i)).
% 0.78/0.41 thf(func_def_514, type, sK329: ($i > $o)).
% 0.78/0.41 thf(func_def_519, type, sK334: $o).
% 0.78/0.41 thf(func_def_520, type, sK335: ($o > $i > $i > $i)).
% 0.78/0.41 thf(func_def_524, type, sK339: ($i > $o)).
% 0.78/0.41 thf(func_def_527, type, sK342: ($i > ($i > $o) > $i)).
% 0.78/0.41 thf(func_def_534, type, sK349: (($i > $o) > $i)).
% 0.78/0.41 thf(func_def_535, type, sK350: ($i > $o)).
% 0.78/0.41 thf(func_def_543, type, sK358: $o).
% 0.78/0.41 thf(func_def_548, type, sK363: (($i > $o) > $i > $i)).
% 0.78/0.41 thf(func_def_550, type, sK365: ($i > $o)).
% 0.78/0.41 thf(func_def_559, type, sK374: ($i > $o)).
% 0.78/0.41 thf(func_def_566, type, sK381: ($i > $i > $i)).
% 0.78/0.41 thf(func_def_573, type, sK388: ($i > $o)).
% 0.78/0.41 thf(func_def_575, type, sK390: ($i > ($i > $o) > $i)).
% 0.78/0.41 thf(func_def_587, type, sK402: ($i > $i)).
% 0.78/0.41 thf(func_def_589, type, sK404: ($i > $o)).
% 0.78/0.41 thf(func_def_591, type, sK406: (($i > $o) > $i > $i)).
% 0.78/0.41 thf(func_def_592, type, sK407: $o).
% 0.78/0.41 thf(func_def_594, type, sK409: ($i > $o)).
% 0.78/0.41 thf(func_def_596, type, sK411: (($i > $o) > $i > $i)).
% 0.78/0.41 thf(f6,axiom,(
% 0.78/0.41 (setunionAx = ! [X0 : $i,X1 : $i] : (? [X2 : $i] : ((in @ X2 @ X0) & (in @ X1 @ X2)) <=> (in @ X1 @ (setunion @ X0))))),
% 0.78/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionAx)).
% 0.78/0.41 thf(f154,conjecture,(
% 0.78/0.41 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => ! [X1 : $i,X0 : $i] : ((in @ X1 @ (setunion @ X0)) => ? [X2 : $i] : ((in @ X2 @ X0) & (in @ X1 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.78/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionE2)).
% 0.78/0.41 thf(f155,negated_conjecture,(
% 0.78/0.41 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => ! [X1 : $i,X0 : $i] : ((in @ X1 @ (setunion @ X0)) => ? [X2 : $i] : ((in @ X2 @ X0) & (in @ X1 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.78/0.41 inference(negated_conjecture,[status(cth)],[f154])).
% 0.78/0.41 thf(f193,plain,(
% 0.78/0.41 (setunionAx = ! [X0 : $i,X1 : $i] : (? [X2 : $i] : ((in @ X2 @ X0) & (in @ X1 @ X2)) <=> (in @ X1 @ (setunion @ X0))))),
% 0.78/0.41 inference(rectify,[],[f6])).
% 0.78/0.41 thf(f194,plain,(
% 0.78/0.41 ! [X1 : $i,X0 : $i] : ((((in @ X1 @ (setunion @ X0))) = $true) <=> ? [X2 : $i] : ((((in @ X2 @ X0)) = $true) & (((in @ X1 @ X2)) = $true))) <=> (setunionAx = $true)),
% 0.78/0.41 inference(fool_elimination,[],[f193])).
% 0.78/0.41 thf(f226,plain,(
% 0.78/0.41 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => ! [X0 : $i,X1 : $i] : ((in @ X0 @ (setunion @ X1)) => ? [X2 : $i] : ((in @ X2 @ X1) & (in @ X0 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.78/0.41 inference(rectify,[],[f155])).
% 0.78/0.41 thf(f227,plain,(
% 0.78/0.41 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ! [X0 : $i,X1 : $i] : (($true = ((in @ X0 @ (setunion @ X1)))) => ? [X2 : $i] : ((((in @ X0 @ X2)) = $true) & (((in @ X2 @ X1)) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.78/0.41 inference(fool_elimination,[],[f226])).
% 0.78/0.41 thf(f584,plain,(
% 0.78/0.41 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X1 : $i,X0 : $i] : (($true = ((in @ X0 @ (setunion @ X1)))) & ! [X2 : $i] : ((((in @ X0 @ X2)) != $true) | (((in @ X2 @ X1)) != $true))) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 0.78/0.41 inference(ennf_transformation,[],[f227])).
% 0.78/0.41 thf(f585,plain,(
% 0.78/0.41 (setadjoin__Cong = $true) & (setextsub = $true) & (foundationAx = $true) & (ubforcartprodlem1 = $true) & (dsetconstrI = $true) & (emptysetE = $true) & (cartprodmempair1 = $true) & (subset2powerset = $true) & (exuE1 = $true) & (setminusER = $true) & (setunionE = $true) & (subsetI2 = $true) & (noeltsimpempty = $true) & (binintersectEL = $true) & (binintersectLsub = $true) & (wellorderingAx = $true) & (subsetRefl = $true) & (emptyI = $true) & (singletoninpowunion = $true) & (eqinunit = $true) & (vacuousDall = $true) & (secondinupair = $true) & (replAx = $true) & (uniqinunit = $true) & (quantDeMorgan4 = $true) & (emptyE1 = $true) & (emptyset__Cong = $true) & (bs114d = $true) & (symdiffE = $true) & (setminusILneg = $true) & (setadjoinE = $true) & (singletonsubset = $true) & (symdiffIneg2 = $true) & (symdiffI1 = $true) & (emptyinunitempty = $true) & (powerset__Cong = $true) & (binintersectSubset2 = $true) & (powersetE1 = $true) & (setukpairIR = $true) & (sepSubset = $true) & (setadjoinOr = $true) & (setminusELneg = $true) & (prop2set2propI = $true) & (binintersectER = $true) & (eqimpsubset1 = $true) & (kpairp = $true) & (subsetemptysetimpeq = $true) & (omega__Cong = $true) & (kpairiskpair = $true) & (upairinpowunion = $true) & (symdiffI2 = $true) & (setadjoinSub2 = $true) & (upairsubunion = $true) & (setminusLsub = $true) & ? [X1 : $i,X0 : $i] : (($true = ((in @ X0 @ (setunion @ X1)))) & ! [X2 : $i] : ((((in @ X0 @ X2)) != $true) | (((in @ X2 @ X1)) != $true))) & (exuE2 = $true) & (subsetE = $true) & (setbeta = $true) & (subsetTrans = $true) & (quantDeMorgan3 = $true) & (symdiffIneg1 = $true) & (subsetI1 = $true) & (dsetconstrER = $true) & (setminusEL = $true) & (subsetE2 = $true) & (omega0Ax = $true) & (emptyInPowerset = $true) & (dsetconstrEL = $true) & (setminusIRneg = $true) & (binintersectI = $true) & (binunionE = $true) & (emptyinPowerset = $true) & (prop2setI = $true) & (descr__Cong = $true) & (singletoninpowerset = $true) & (descrp = $true) & (setadjoinIR = $true) & (exuE3e = $true) & (nonemptyImpWitness = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (powersetI1 = $true) & (exuI1 = $true) & (setadjoinIL = $true) & (inCongP = $true) & (binunionEcases = $true) & (cartprodmempair = $true) & (setadjoinSub = $true) & (omegaSAx = $true) & (setext = $true) & (singletonsswitch = $true) & (cartprodpairin = $true) & (nonemptyI = $true) & (powersetE = $true) & (notinsingleton = $true) & (binintersectSubset1 = $true) & (powersetsubset = $true) & (quantDeMorgan1 = $true) & (prop2setE = $true) & (dsetconstr__Cong = $true) & (binintersectSubset5 = $true) & (nonemptyE1 = $true) & (exuI2 = $true) & (exuI3 = $true) & (binunionLsub = $true) & (exu__Cong = $true) & (setminusSubset1 = $true) & (setminusERneg = $true) & (eqimpsubset2 = $true) & (emptysetsubset = $true) & (omegaIndAx = $true) & (setminusSubset2 = $true) & (emptysetAx = $true) & (setukpairIL = $true) & (nonemptyI1 = $true) & (setadjoinAx = $true) & (exuEu = $true) & (subPowSU = $true) & (setunionI = $true) & (setextAx = $true) & (binunionIR = $true) & (notdexE = $true) & (setoftrueEq = $true) & (binunionIL = $true) & (binintersectSubset4 = $true) & (ubforcartprodlem2 = $true) & (binintersectSubset3 = $true) & (upairset2E = $true) & (sepInPowerset = $true) & (quantDeMorgan2 = $true) & (setunion__Cong = $true) & (notdallE = $true) & (powersetAx = $true) & (upairset2IR = $true) & (exuE3u = $true) & (notequalI1 = $true) & (binintersectRsub = $true) & (notequalI2 = $true) & (powersetI = $true) & (setminusI = $true) & (binunionRsub = $true) & (notsubsetI = $true) & (setunionAx = $true) & (ubforcartprodlem3 = $true) & (in__Cong = $true) & (disjointsetsI1 = $true) & (inPowerset = $true) & (upairsetIR = $true) & (upairsetE = $true) & (upairsetIL = $true)),
% 0.78/0.41 inference(flattening,[],[f584])).
% 0.78/0.41 thf(f688,plain,(
% 0.78/0.41 (setadjoin__Cong = $true) & (setextsub = $true) & (foundationAx = $true) & (ubforcartprodlem1 = $true) & (dsetconstrI = $true) & (emptysetE = $true) & (cartprodmempair1 = $true) & (subset2powerset = $true) & (exuE1 = $true) & (setminusER = $true) & (setunionE = $true) & (subsetI2 = $true) & (noeltsimpempty = $true) & (binintersectEL = $true) & (binintersectLsub = $true) & (wellorderingAx = $true) & (subsetRefl = $true) & (emptyI = $true) & (singletoninpowunion = $true) & (eqinunit = $true) & (vacuousDall = $true) & (secondinupair = $true) & (replAx = $true) & (uniqinunit = $true) & (quantDeMorgan4 = $true) & (emptyE1 = $true) & (emptyset__Cong = $true) & (bs114d = $true) & (symdiffE = $true) & (setminusILneg = $true) & (setadjoinE = $true) & (singletonsubset = $true) & (symdiffIneg2 = $true) & (symdiffI1 = $true) & (emptyinunitempty = $true) & (powerset__Cong = $true) & (binintersectSubset2 = $true) & (powersetE1 = $true) & (setukpairIR = $true) & (sepSubset = $true) & (setadjoinOr = $true) & (setminusELneg = $true) & (prop2set2propI = $true) & (binintersectER = $true) & (eqimpsubset1 = $true) & (kpairp = $true) & (subsetemptysetimpeq = $true) & (omega__Cong = $true) & (kpairiskpair = $true) & (upairinpowunion = $true) & (symdiffI2 = $true) & (setadjoinSub2 = $true) & (upairsubunion = $true) & (setminusLsub = $true) & ? [X0 : $i,X1 : $i] : ((((in @ X1 @ (setunion @ X0))) = $true) & ! [X2 : $i] : ((((in @ X1 @ X2)) != $true) | (((in @ X2 @ X0)) != $true))) & (exuE2 = $true) & (subsetE = $true) & (setbeta = $true) & (subsetTrans = $true) & (quantDeMorgan3 = $true) & (symdiffIneg1 = $true) & (subsetI1 = $true) & (dsetconstrER = $true) & (setminusEL = $true) & (subsetE2 = $true) & (omega0Ax = $true) & (emptyInPowerset = $true) & (dsetconstrEL = $true) & (setminusIRneg = $true) & (binintersectI = $true) & (binunionE = $true) & (emptyinPowerset = $true) & (prop2setI = $true) & (descr__Cong = $true) & (singletoninpowerset = $true) & (descrp = $true) & (setadjoinIR = $true) & (exuE3e = $true) & (nonemptyImpWitness = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (powersetI1 = $true) & (exuI1 = $true) & (setadjoinIL = $true) & (inCongP = $true) & (binunionEcases = $true) & (cartprodmempair = $true) & (setadjoinSub = $true) & (omegaSAx = $true) & (setext = $true) & (singletonsswitch = $true) & (cartprodpairin = $true) & (nonemptyI = $true) & (powersetE = $true) & (notinsingleton = $true) & (binintersectSubset1 = $true) & (powersetsubset = $true) & (quantDeMorgan1 = $true) & (prop2setE = $true) & (dsetconstr__Cong = $true) & (binintersectSubset5 = $true) & (nonemptyE1 = $true) & (exuI2 = $true) & (exuI3 = $true) & (binunionLsub = $true) & (exu__Cong = $true) & (setminusSubset1 = $true) & (setminusERneg = $true) & (eqimpsubset2 = $true) & (emptysetsubset = $true) & (omegaIndAx = $true) & (setminusSubset2 = $true) & (emptysetAx = $true) & (setukpairIL = $true) & (nonemptyI1 = $true) & (setadjoinAx = $true) & (exuEu = $true) & (subPowSU = $true) & (setunionI = $true) & (setextAx = $true) & (binunionIR = $true) & (notdexE = $true) & (setoftrueEq = $true) & (binunionIL = $true) & (binintersectSubset4 = $true) & (ubforcartprodlem2 = $true) & (binintersectSubset3 = $true) & (upairset2E = $true) & (sepInPowerset = $true) & (quantDeMorgan2 = $true) & (setunion__Cong = $true) & (notdallE = $true) & (powersetAx = $true) & (upairset2IR = $true) & (exuE3u = $true) & (notequalI1 = $true) & (binintersectRsub = $true) & (notequalI2 = $true) & (powersetI = $true) & (setminusI = $true) & (binunionRsub = $true) & (notsubsetI = $true) & (setunionAx = $true) & (ubforcartprodlem3 = $true) & (in__Cong = $true) & (disjointsetsI1 = $true) & (inPowerset = $true) & (upairsetIR = $true) & (upairsetE = $true) & (upairsetIL = $true)),
% 0.78/0.42 inference(rectify,[],[f585])).
% 0.78/0.42 thf(f689,plain,(
% 0.78/0.42 (setadjoin__Cong = $true) & (setextsub = $true) & (foundationAx = $true) & (ubforcartprodlem1 = $true) & (dsetconstrI = $true) & (emptysetE = $true) & (cartprodmempair1 = $true) & (subset2powerset = $true) & (exuE1 = $true) & (setminusER = $true) & (setunionE = $true) & (subsetI2 = $true) & (noeltsimpempty = $true) & (binintersectEL = $true) & (binintersectLsub = $true) & (wellorderingAx = $true) & (subsetRefl = $true) & (emptyI = $true) & (singletoninpowunion = $true) & (eqinunit = $true) & (vacuousDall = $true) & (secondinupair = $true) & (replAx = $true) & (uniqinunit = $true) & (quantDeMorgan4 = $true) & (emptyE1 = $true) & (emptyset__Cong = $true) & (bs114d = $true) & (symdiffE = $true) & (setminusILneg = $true) & (setadjoinE = $true) & (singletonsubset = $true) & (symdiffIneg2 = $true) & (symdiffI1 = $true) & (emptyinunitempty = $true) & (powerset__Cong = $true) & (binintersectSubset2 = $true) & (powersetE1 = $true) & (setukpairIR = $true) & (sepSubset = $true) & (setadjoinOr = $true) & (setminusELneg = $true) & (prop2set2propI = $true) & (binintersectER = $true) & (eqimpsubset1 = $true) & (kpairp = $true) & (subsetemptysetimpeq = $true) & (omega__Cong = $true) & (kpairiskpair = $true) & (upairinpowunion = $true) & (symdiffI2 = $true) & (setadjoinSub2 = $true) & (upairsubunion = $true) & (setminusLsub = $true) & ((((in @ sK41 @ (setunion @ sK40))) = $true) & ! [X2 : $i] : (($true != ((in @ sK41 @ X2))) | (((in @ X2 @ sK40)) != $true))) & (exuE2 = $true) & (subsetE = $true) & (setbeta = $true) & (subsetTrans = $true) & (quantDeMorgan3 = $true) & (symdiffIneg1 = $true) & (subsetI1 = $true) & (dsetconstrER = $true) & (setminusEL = $true) & (subsetE2 = $true) & (omega0Ax = $true) & (emptyInPowerset = $true) & (dsetconstrEL = $true) & (setminusIRneg = $true) & (binintersectI = $true) & (binunionE = $true) & (emptyinPowerset = $true) & (prop2setI = $true) & (descr__Cong = $true) & (singletoninpowerset = $true) & (descrp = $true) & (setadjoinIR = $true) & (exuE3e = $true) & (nonemptyImpWitness = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (powersetI1 = $true) & (exuI1 = $true) & (setadjoinIL = $true) & (inCongP = $true) & (binunionEcases = $true) & (cartprodmempair = $true) & (setadjoinSub = $true) & (omegaSAx = $true) & (setext = $true) & (singletonsswitch = $true) & (cartprodpairin = $true) & (nonemptyI = $true) & (powersetE = $true) & (notinsingleton = $true) & (binintersectSubset1 = $true) & (powersetsubset = $true) & (quantDeMorgan1 = $true) & (prop2setE = $true) & (dsetconstr__Cong = $true) & (binintersectSubset5 = $true) & (nonemptyE1 = $true) & (exuI2 = $true) & (exuI3 = $true) & (binunionLsub = $true) & (exu__Cong = $true) & (setminusSubset1 = $true) & (setminusERneg = $true) & (eqimpsubset2 = $true) & (emptysetsubset = $true) & (omegaIndAx = $true) & (setminusSubset2 = $true) & (emptysetAx = $true) & (setukpairIL = $true) & (nonemptyI1 = $true) & (setadjoinAx = $true) & (exuEu = $true) & (subPowSU = $true) & (setunionI = $true) & (setextAx = $true) & (binunionIR = $true) & (notdexE = $true) & (setoftrueEq = $true) & (binunionIL = $true) & (binintersectSubset4 = $true) & (ubforcartprodlem2 = $true) & (binintersectSubset3 = $true) & (upairset2E = $true) & (sepInPowerset = $true) & (quantDeMorgan2 = $true) & (setunion__Cong = $true) & (notdallE = $true) & (powersetAx = $true) & (upairset2IR = $true) & (exuE3u = $true) & (notequalI1 = $true) & (binintersectRsub = $true) & (notequalI2 = $true) & (powersetI = $true) & (setminusI = $true) & (binunionRsub = $true) & (notsubsetI = $true) & (setunionAx = $true) & (ubforcartprodlem3 = $true) & (in__Cong = $true) & (disjointsetsI1 = $true) & (inPowerset = $true) & (upairsetIR = $true) & (upairsetE = $true) & (upairsetIL = $true)),
% 0.78/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41]),skolemize(X0,sK40),skolemize(X1,sK41)],[f688])).
% 0.78/0.42 thf(f1060,plain,(
% 0.78/0.42 (! [X1 : $i,X0 : $i] : (((((in @ X1 @ (setunion @ X0))) = $true) | ! [X2 : $i] : ((((in @ X2 @ X0)) != $true) | (((in @ X1 @ X2)) != $true))) & (? [X2 : $i] : ((((in @ X2 @ X0)) = $true) & (((in @ X1 @ X2)) = $true)) | (((in @ X1 @ (setunion @ X0))) != $true))) | (setunionAx != $true)) & ((setunionAx = $true) | ? [X1 : $i,X0 : $i] : ((! [X2 : $i] : ((((in @ X2 @ X0)) != $true) | (((in @ X1 @ X2)) != $true)) | (((in @ X1 @ (setunion @ X0))) != $true)) & (? [X2 : $i] : ((((in @ X2 @ X0)) = $true) & (((in @ X1 @ X2)) = $true)) | (((in @ X1 @ (setunion @ X0))) = $true))))),
% 0.78/0.42 inference(nnf_transformation,[],[f194])).
% 0.78/0.42 thf(f1061,plain,(
% 0.78/0.42 (! [X0 : $i,X1 : $i] : ((($true = ((in @ X0 @ (setunion @ X1)))) | ! [X2 : $i] : ((((in @ X2 @ X1)) != $true) | (((in @ X0 @ X2)) != $true))) & (? [X3 : $i] : ((((in @ X3 @ X1)) = $true) & (((in @ X0 @ X3)) = $true)) | ($true != ((in @ X0 @ (setunion @ X1)))))) | (setunionAx != $true)) & ((setunionAx = $true) | ? [X4 : $i,X5 : $i] : ((! [X6 : $i] : ((((in @ X6 @ X5)) != $true) | (((in @ X4 @ X6)) != $true)) | ($true != ((in @ X4 @ (setunion @ X5))))) & (? [X7 : $i] : ((((in @ X7 @ X5)) = $true) & (((in @ X4 @ X7)) = $true)) | ($true = ((in @ X4 @ (setunion @ X5)))))))),
% 0.78/0.42 inference(rectify,[],[f1060])).
% 0.78/0.42 thf(f1062,plain,(
% 0.78/0.42 (! [X0 : $i,X1 : $i] : ((($true = ((in @ X0 @ (setunion @ X1)))) | ! [X2 : $i] : ((((in @ X2 @ X1)) != $true) | (((in @ X0 @ X2)) != $true))) & (((((in @ (sK381 @ X1 @ X0) @ X1)) = $true) & (((in @ X0 @ (sK381 @ X1 @ X0))) = $true)) | ($true != ((in @ X0 @ (setunion @ X1)))))) | (setunionAx != $true)) & ((setunionAx = $true) | ((! [X6 : $i] : (($true != ((in @ X6 @ sK383))) | (((in @ sK382 @ X6)) != $true)) | (((in @ sK382 @ (setunion @ sK383))) != $true)) & (((((in @ sK384 @ sK383)) = $true) & (((in @ sK382 @ sK384)) = $true)) | (((in @ sK382 @ (setunion @ sK383))) = $true))))),
% 0.78/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,sK382,sK383,sK384]),skolemize(X3,sK6 @ X1 @ X0),skolemize(X4,sK382),skolemize(X5,sK383),skolemize(X7,sK384)],[f1061])).
% 0.78/0.42 thf(f1152,plain,(
% 0.78/0.42 (setunionAx = $true)),
% 0.78/0.42 inference(cnf_transformation,[],[f689])).
% 0.78/0.42 thf(f1240,plain,(
% 0.78/0.42 ( ! [X2 : $i] : (($true != ((in @ sK41 @ X2))) | (((in @ X2 @ sK40)) != $true)) )),
% 0.78/0.42 inference(cnf_transformation,[],[f689])).
% 0.78/0.42 thf(f1241,plain,(
% 0.78/0.42 (((in @ sK41 @ (setunion @ sK40))) = $true)),
% 0.78/0.42 inference(cnf_transformation,[],[f689])).
% 0.78/0.42 thf(f1785,plain,(
% 0.78/0.42 ( ! [X0 : $i,X1 : $i] : ((((in @ X0 @ (sK381 @ X1 @ X0))) = $true) | (setunionAx != $true) | ($true != ((in @ X0 @ (setunion @ X1))))) )),
% 0.78/0.42 inference(cnf_transformation,[],[f1062])).
% 0.78/0.42 thf(f1786,plain,(
% 0.78/0.42 ( ! [X0 : $i,X1 : $i] : (($true != ((in @ X0 @ (setunion @ X1)))) | (((in @ (sK381 @ X1 @ X0) @ X1)) = $true) | (setunionAx != $true)) )),
% 0.78/0.42 inference(cnf_transformation,[],[f1062])).
% 0.78/0.42 thf(f2887,definition,(
% 0.78/0.42 spl414_204 <=> (setunionAx = $true)),
% 0.78/0.42 introduced(definition,[new_symbols(definition,[spl414_204])],[avatar_definition])).
% 0.78/0.42 thf(f3143,plain,(
% 0.78/0.42 spl414_204),
% 0.78/0.42 inference(avatar_split_clause,[],[f1152,f2887])).
% 0.78/0.42 thf(f3307,definition,(
% 0.78/0.42 spl414_295 <=> ! [X0 : $i,X1 : $i] : ((((in @ X0 @ (sK381 @ X1 @ X0))) = $true) | ($true != ((in @ X0 @ (setunion @ X1)))))),
% 0.78/0.42 introduced(definition,[new_symbols(definition,[spl414_295])],[avatar_definition])).
% 0.78/0.42 thf(f3308,plain,(
% 0.78/0.42 ( ! [X0 : $i,X1 : $i] : ((((in @ X0 @ (sK381 @ X1 @ X0))) = $true) | ($true != ((in @ X0 @ (setunion @ X1))))) ) | ~spl414_295),
% 0.78/0.42 inference(avatar_component_clause,[],[f3307])).
% 0.78/0.42 thf(f3309,plain,(
% 0.78/0.42 spl414_295 | ~spl414_204),
% 0.78/0.42 inference(avatar_split_clause,[],[f1785,f2887,f3307])).
% 0.78/0.42 thf(f3404,definition,(
% 0.78/0.42 spl414_316 <=> (((in @ sK41 @ (setunion @ sK40))) = $true)),
% 0.78/0.42 introduced(definition,[new_symbols(definition,[spl414_316])],[avatar_definition])).
% 0.78/0.42 thf(f3406,plain,(
% 0.78/0.42 (((in @ sK41 @ (setunion @ sK40))) = $true) | ~spl414_316),
% 0.78/0.42 inference(avatar_component_clause,[],[f3404])).
% 0.78/0.42 thf(f3407,plain,(
% 0.78/0.42 spl414_316),
% 0.78/0.42 inference(avatar_split_clause,[],[f1241,f3404])).
% 0.78/0.42 thf(f3926,definition,(
% 0.78/0.42 spl414_428 <=> ! [X0 : $i,X1 : $i] : (($true != ((in @ X0 @ (setunion @ X1)))) | (((in @ (sK381 @ X1 @ X0) @ X1)) = $true))),
% 0.78/0.42 introduced(definition,[new_symbols(definition,[spl414_428])],[avatar_definition])).
% 0.78/0.42 thf(f3927,plain,(
% 0.78/0.42 ( ! [X0 : $i,X1 : $i] : ((((in @ (sK381 @ X1 @ X0) @ X1)) = $true) | ($true != ((in @ X0 @ (setunion @ X1))))) ) | ~spl414_428),
% 0.78/0.42 inference(avatar_component_clause,[],[f3926])).
% 0.78/0.42 thf(f3928,plain,(
% 0.78/0.42 spl414_428 | ~spl414_204),
% 0.78/0.42 inference(avatar_split_clause,[],[f1786,f2887,f3926])).
% 0.78/0.42 thf(f5872,plain,(
% 0.78/0.42 ( ! [X0 : $i] : (($true != $true) | (((in @ sK41 @ (setunion @ X0))) != $true) | (((in @ (sK381 @ X0 @ sK41) @ sK40)) != $true)) ) | ~spl414_295),
% 0.78/0.42 inference(superposition,[],[f1240,f3308])).
% 0.78/0.42 thf(f5873,plain,(
% 0.78/0.42 ( ! [X0 : $i] : ((((in @ (sK381 @ X0 @ sK41) @ sK40)) != $true) | (((in @ sK41 @ (setunion @ X0))) != $true)) ) | ~spl414_295),
% 0.78/0.42 inference(trivial_inequality_removal,[],[f5872])).
% 0.78/0.42 thf(f6083,plain,(
% 0.78/0.42 (((in @ sK41 @ (setunion @ sK40))) != $true) | (((in @ sK41 @ (setunion @ sK40))) != $true) | ($true != $true) | (~spl414_295 | ~spl414_428)),
% 0.78/0.42 inference(superposition,[],[f5873,f3927])).
% 0.78/0.42 thf(f6086,plain,(
% 0.78/0.42 ($true != $true) | (((in @ sK41 @ (setunion @ sK40))) != $true) | (~spl414_295 | ~spl414_428)),
% 0.78/0.42 inference(duplicate_literal_removal,[],[f6083])).
% 0.78/0.42 thf(f6087,plain,(
% 0.78/0.42 (((in @ sK41 @ (setunion @ sK40))) != $true) | (~spl414_295 | ~spl414_428)),
% 0.78/0.42 inference(trivial_inequality_removal,[],[f6086])).
% 0.78/0.42 thf(f6088,plain,(
% 0.78/0.42 $false | (~spl414_295 | ~spl414_316 | ~spl414_428)),
% 0.78/0.42 inference(forward_subsumption_resolution,[],[f6087,f3406])).
% 0.78/0.42 thf(f6089,plain,(
% 0.78/0.42 ~spl414_295 | ~spl414_316 | ~spl414_428),
% 0.78/0.42 inference(avatar_contradiction_clause,[],[f6088])).
% 0.78/0.42 cnf(s183, plain, spl414_204, inference(sat_conversion,[],[f3143])).
% 0.78/0.42 cnf(s216, plain, ~spl414_204 | spl414_295, inference(sat_conversion,[],[f3309])).
% 0.78/0.42 cnf(s237, plain, spl414_316, inference(sat_conversion,[],[f3407])).
% 0.78/0.42 cnf(s353, plain, ~spl414_204 | spl414_428, inference(sat_conversion,[],[f3928])).
% 0.78/0.42 cnf(s721, plain, ~spl414_295 | ~spl414_316 | ~spl414_428, inference(sat_conversion,[],[f6089])).
% 0.78/0.42 cnf(s824, plain, spl414_428, inference(rat,[],[s353,s183])).
% 0.78/0.42 cnf(s825, plain, spl414_295, inference(rat,[],[s216,s183])).
% 0.78/0.42 cnf(s826, plain, $false, inference(rat,[],[s721,s237,s824,s825])).
% 0.78/0.42 thf(f6090,plain,(
% 0.78/0.42 $false),
% 0.78/0.42 inference(avatar_sat_refutation,[],[s826])).
% 0.78/0.42 % SZS output end Proof for theBenchmark
% 0.78/0.42 % (760338)------------------------------
% 0.78/0.42 % (760338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.42 % (760338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.42 % (760338)CaDiCaL version: 2.1.3
% 0.78/0.42 % (760338)Termination reason: Refutation
% 0.78/0.42 % (760338)Time elapsed: 0.124 s
% 0.78/0.42 % (760338)Peak memory usage: 17 MB
% 0.78/0.42 % (760338)Instructions burned: 236 (million)
% 0.78/0.42 % (760330)Success in time 0.162 s
% 0.78/0.42 % Vampire exiting
%------------------------------------------------------------------------------