%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU618^1 : 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 : n018.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 08:30:21 AM UTC 2026
% Result : Theorem 0.74s 0.44s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU618^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n018.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 14:00:41 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.21/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.74/0.40 % (120035)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.74/0.40 % (120046)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.74/0.40 % (120046)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
% 0.74/0.40 % (120046)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=4175391374:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.74/0.40 % (120045)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1112233045:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.74/0.40 % (120042)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3350605743:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.74/0.40 % (120041)lrs+10_16_si=on:nwc=1.5:random_seed=3861073711:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.74/0.40 % (120040)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2242485796:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.74/0.40 % (120044)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3435899100:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.74/0.40 % (120043)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=190999627: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)
% 0.74/0.40 % (120042)Instruction limit reached!
% 0.74/0.40 % (120042)------------------------------
% 0.74/0.40 % (120042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (120042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (120042)CaDiCaL version: 2.1.3
% 0.74/0.40 % (120042)Termination reason: Instruction limit
% 0.74/0.40 % (120042)Termination phase: shuffling
% 0.74/0.40 % (120042)Time elapsed: 0.004 s
% 0.74/0.40 % (120042)Peak memory usage: 10 MB
% 0.74/0.40 % (120042)Instructions burned: 7 (million)
% 0.74/0.40 % (120041)Instruction limit reached!
% 0.74/0.40 % (120041)------------------------------
% 0.74/0.40 % (120041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (120041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (120041)CaDiCaL version: 2.1.3
% 0.74/0.40 % (120041)Termination reason: Instruction limit
% 0.74/0.40 % (120041)Termination phase: Property scanning
% 0.74/0.40 % (120041)Time elapsed: 0.009 s
% 0.74/0.40 % (120041)Peak memory usage: 10 MB
% 0.74/0.40 % (120041)Instructions burned: 20 (million)
% 0.74/0.40 % (120044)Instruction limit reached!
% 0.74/0.40 % (120044)------------------------------
% 0.74/0.40 % (120044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (120044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (120044)CaDiCaL version: 2.1.3
% 0.74/0.40 % (120044)Termination reason: Instruction limit
% 0.74/0.40 % (120044)Termination phase: Preprocessing 3
% 0.74/0.40 % (120044)Time elapsed: 0.012 s
% 0.74/0.40 % (120044)Peak memory usage: 11 MB
% 0.74/0.40 % (120044)Instructions burned: 24 (million)
% 0.74/0.40 % (120054)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=337998380:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.74/0.40 % (120054)Instruction limit reached!
% 0.74/0.40 % (120054)------------------------------
% 0.74/0.40 % (120054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (120054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (120054)CaDiCaL version: 2.1.3
% 0.74/0.40 % (120054)Termination reason: Instruction limit
% 0.74/0.40 % (120054)Termination phase: shuffling
% 0.74/0.40 % (120054)Time elapsed: 0.002 s
% 0.74/0.40 % (120054)Peak memory usage: 10 MB
% 0.74/0.40 % (120054)Instructions burned: 4 (million)
% 0.74/0.40 % (120056)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.74/0.40 % (120055)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2347227865:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.74/0.44 % (120046)Instruction limit reached!
% 0.74/0.44 % (120046)------------------------------
% 0.74/0.44 % (120046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (120046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (120046)CaDiCaL version: 2.1.3
% 0.74/0.44 % (120046)Termination reason: Instruction limit
% 0.74/0.44 % (120046)Termination phase: Saturation
% 0.74/0.44 % (120046)Time elapsed: 0.037 s
% 0.74/0.44 % (120046)Peak memory usage: 14 MB
% 0.74/0.44 % (120046)Instructions burned: 162 (million)
% 0.74/0.44 % (120056)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2947619036:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.74/0.44 % (120055)Instruction limit reached!
% 0.74/0.44 % (120055)------------------------------
% 0.74/0.44 % (120055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (120055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (120055)CaDiCaL version: 2.1.3
% 0.74/0.44 % (120055)Termination reason: Instruction limit
% 0.74/0.44 % (120055)Termination phase: shuffling
% 0.74/0.44 % (120055)Time elapsed: 0.003 s
% 0.74/0.44 % (120055)Peak memory usage: 10 MB
% 0.74/0.44 % (120055)Instructions burned: 6 (million)
% 0.74/0.44 % (120056)Instruction limit reached!
% 0.74/0.44 % (120056)------------------------------
% 0.74/0.44 % (120056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (120056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (120056)CaDiCaL version: 2.1.3
% 0.74/0.44 % (120056)Termination reason: Instruction limit
% 0.74/0.44 % (120056)Termination phase: shuffling
% 0.74/0.44 % (120056)Time elapsed: 0.004 s
% 0.74/0.44 % (120056)Peak memory usage: 10 MB
% 0.74/0.44 % (120056)Instructions burned: 8 (million)
% 0.74/0.44 % (120060)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
% 0.74/0.44 % (120060)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.74/0.44 % (120045)Instruction limit reached!
% 0.74/0.44 % (120045)------------------------------
% 0.74/0.44 % (120045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (120045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (120045)CaDiCaL version: 2.1.3
% 0.74/0.44 % (120045)Termination reason: Instruction limit
% 0.74/0.44 % (120045)Termination phase: Property scanning
% 0.74/0.44 % (120045)Time elapsed: 0.041 s
% 0.74/0.44 % (120045)Peak memory usage: 12 MB
% 0.74/0.44 % (120045)Instructions burned: 75 (million)
% 0.74/0.44 % (120060)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=678949071:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.74/0.44 % (120058)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4132922748:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.74/0.44 % (120060)Instruction limit reached!
% 0.74/0.44 % (120060)------------------------------
% 0.74/0.44 % (120060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (120060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (120060)CaDiCaL version: 2.1.3
% 0.74/0.44 % (120060)Termination reason: Instruction limit
% 0.74/0.44 % (120060)Termination phase: Property scanning
% 0.74/0.44 % (120060)Time elapsed: 0.006 s
% 0.74/0.44 % (120060)Peak memory usage: 10 MB
% 0.74/0.44 % (120060)Instructions burned: 28 (million)
% 0.74/0.44 % (120062)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=794885341:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.74/0.44 % (120058)Instruction limit reached!
% 0.74/0.44 % (120058)------------------------------
% 0.74/0.44 % (120058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (120058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (120058)CaDiCaL version: 2.1.3
% 0.74/0.44 % (120058)Termination reason: Instruction limit
% 0.74/0.44 % (120058)Termination phase: shuffling
% 0.74/0.44 % (120058)Time elapsed: 0.005 s
% 0.74/0.44 % (120058)Peak memory usage: 10 MB
% 0.74/0.44 % (120058)Instructions burned: 12 (million)
% 0.74/0.44 % (120040)Instruction limit reached!
% 0.74/0.44 % (120040)------------------------------
% 0.74/0.44 % (120040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (120040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (120040)CaDiCaL version: 2.1.3
% 0.74/0.44 % (120040)Termination reason: Instruction limit
% 0.74/0.44 % (120040)Termination phase: Saturation
% 0.74/0.44 % (120040)Time elapsed: 0.054 s
% 0.74/0.44 % (120040)Peak memory usage: 13 MB
% 0.74/0.44 % (120040)Instructions burned: 89 (million)
% 0.74/0.44 % (120063)lrs+10_1_si=on:cs=on:random_seed=1114618737:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.74/0.44 % (120067)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3557198773:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.74/0.44 % (120063)Instruction limit reached!
% 0.74/0.44 % (120063)------------------------------
% 0.74/0.44 % (120063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (120063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (120063)CaDiCaL version: 2.1.3
% 0.74/0.44 % (120063)Termination reason: Instruction limit
% 0.74/0.44 % (120063)Termination phase: shuffling
% 0.74/0.44 % (120063)Time elapsed: 0.004 s
% 0.74/0.44 % (120063)Peak memory usage: 10 MB
% 0.74/0.44 % (120063)Instructions burned: 9 (million)
% 0.74/0.44 % (120065)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.74/0.44 % (120065)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=3375671849:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.74/0.44 % (120067)Instruction limit reached!
% 0.74/0.44 % (120067)------------------------------
% 0.74/0.44 % (120067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (120067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (120067)CaDiCaL version: 2.1.3
% 0.74/0.44 % (120067)Termination reason: Instruction limit
% 0.74/0.44 % (120067)Termination phase: Preprocessing 3
% 0.74/0.44 % (120067)Time elapsed: 0.010 s
% 0.74/0.44 % (120067)Peak memory usage: 11 MB
% 0.74/0.44 % (120067)Instructions burned: 38 (million)
% 0.74/0.44 % (120065)Instruction limit reached!
% 0.74/0.44 % (120065)------------------------------
% 0.74/0.44 % (120065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (120065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (120065)CaDiCaL version: 2.1.3
% 0.74/0.44 % (120065)Termination reason: Instruction limit
% 0.74/0.44 % (120065)Termination phase: shuffling
% 0.74/0.44 % (120065)Time elapsed: 0.002 s
% 0.74/0.44 % (120069)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2838686978:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.74/0.44 % (120065)Peak memory usage: 10 MB
% 0.74/0.44 % (120065)Instructions burned: 4 (million)
% 0.74/0.44 % (120073)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1099122563:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.74/0.44 % (120075)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4120644750:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.74/0.44 % (120073)Instruction limit reached!
% 0.74/0.44 % (120073)------------------------------
% 0.74/0.44 % (120073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (120073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (120073)CaDiCaL version: 2.1.3
% 0.74/0.44 % (120073)Termination reason: Instruction limit
% 0.74/0.44 % (120073)Termination phase: shuffling
% 0.74/0.44 % (120073)Time elapsed: 0.006 s
% 0.74/0.44 % (120073)Peak memory usage: 10 MB
% 0.74/0.44 % (120073)Instructions burned: 14 (million)
% 0.74/0.44 % (120070)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=167086862:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.74/0.44 % (120062)Instruction limit reached!
% 0.74/0.44 % (120062)------------------------------
% 0.74/0.44 % (120062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (120062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (120062)CaDiCaL version: 2.1.3
% 0.74/0.44 % (120062)Termination reason: Instruction limit
% 0.74/0.44 % (120062)Termination phase: Saturation
% 0.74/0.44 % (120062)Time elapsed: 0.037 s
% 0.74/0.44 % (120062)Peak memory usage: 13 MB
% 0.74/0.44 % (120062)Instructions burned: 86 (million)
% 0.74/0.44 % (120077)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3407881967:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.74/0.44 % (120077)Instruction limit reached!
% 0.74/0.44 % (120077)------------------------------
% 0.74/0.44 % (120077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (120077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (120077)CaDiCaL version: 2.1.3
% 0.74/0.44 % (120077)Termination reason: Instruction limit
% 0.74/0.44 % (120077)Termination phase: shuffling
% 0.74/0.44 % (120077)Time elapsed: 0.007 s
% 0.74/0.44 % (120077)Peak memory usage: 10 MB
% 0.74/0.44 % (120077)Instructions burned: 15 (million)
% 0.74/0.44 % (120080)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2267566281: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)
% 0.74/0.44 % (120080)Instruction limit reached!
% 0.74/0.44 % (120080)------------------------------
% 0.74/0.44 % (120080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (120080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (120080)CaDiCaL version: 2.1.3
% 0.74/0.44 % (120080)Termination reason: Instruction limit
% 0.74/0.44 % (120080)Termination phase: shuffling
% 0.74/0.44 % (120080)Time elapsed: 0.002 s
% 0.74/0.44 % (120080)Peak memory usage: 9 MB
% 0.74/0.44 % (120080)Instructions burned: 4 (million)
% 0.74/0.44 % (120082)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1246636975:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.74/0.44 % (120070)Instruction limit reached!
% 0.74/0.44 % (120070)------------------------------
% 0.74/0.44 % (120070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (120070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (120070)CaDiCaL version: 2.1.3
% 0.74/0.44 % (120070)Termination reason: Instruction limit
% 0.74/0.44 % (120070)Termination phase: Preprocessing 3
% 0.74/0.44 % (120070)Time elapsed: 0.022 s
% 0.74/0.44 % (120070)Peak memory usage: 11 MB
% 0.74/0.44 % (120070)Instructions burned: 26 (million)
% 0.74/0.44 % (120084)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2773583373:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.74/0.44 % (120082)Instruction limit reached!
% 0.74/0.44 % (120082)------------------------------
% 0.74/0.44 % (120082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (120082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (120082)CaDiCaL version: 2.1.3
% 0.74/0.44 % (120082)Termination reason: Instruction limit
% 0.74/0.44 % (120082)Termination phase: Property scanning
% 0.74/0.44 % (120082)Time elapsed: 0.012 s
% 0.74/0.44 % (120082)Peak memory usage: 10 MB
% 0.74/0.44 % (120082)Instructions burned: 28 (million)
% 0.74/0.44 % (120043) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-120035-120043"...
% 0.74/0.44 % (120088)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
% 0.74/0.44 % (120088)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.74/0.44 % (120087)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=545669743:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.74/0.44 % (120084)Instruction limit reached!
% 0.74/0.44 % (120084)------------------------------
% 0.74/0.44 % (120084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.44 % (120084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.44 % (120084)CaDiCaL version: 2.1.3
% 0.74/0.44 % (120084)Termination reason: Instruction limit
% 0.74/0.44 % (120084)Termination phase: Property scanning
% 0.74/0.44 % (120084)Time elapsed: 0.011 s
% 0.74/0.44 % (120084)Peak memory usage: 10 MB
% 0.74/0.44 % (120084)Instructions burned: 25 (million)
% 0.74/0.44 % (120088)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=995276619:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.74/0.44 % (120043)...printing done.
% 0.74/0.44 % (120043)Refutation found. Thanks to Tanya!
% 0.74/0.44 % SZS status Theorem for theBenchmark
% 0.74/0.44 % SZS output start Proof for theBenchmark
% 0.74/0.44 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.74/0.44 thf(func_def_0, type, in: ($i > $i > $o)).
% 0.74/0.44 thf(func_def_1, type, exu: (($i > $o) > $o)).
% 0.74/0.44 thf(func_def_3, type, setextAx: $o).
% 0.74/0.44 thf(func_def_5, type, emptysetAx: $o).
% 0.74/0.44 thf(func_def_6, type, setadjoin: ($i > $i > $i)).
% 0.74/0.44 thf(func_def_7, type, setadjoinAx: $o).
% 0.74/0.44 thf(func_def_8, type, powerset: ($i > $i)).
% 0.74/0.44 thf(func_def_9, type, powersetAx: $o).
% 0.74/0.44 thf(func_def_10, type, setunion: ($i > $i)).
% 0.74/0.44 thf(func_def_11, type, setunionAx: $o).
% 0.74/0.44 thf(func_def_13, type, omega0Ax: $o).
% 0.74/0.44 thf(func_def_14, type, omegaSAx: $o).
% 0.74/0.44 thf(func_def_15, type, omegaIndAx: $o).
% 0.74/0.44 thf(func_def_16, type, replAx: $o).
% 0.74/0.44 thf(func_def_17, type, foundationAx: $o).
% 0.74/0.44 thf(func_def_18, type, wellorderingAx: $o).
% 0.74/0.44 thf(func_def_19, type, descr: (($i > $o) > $i)).
% 0.74/0.44 thf(func_def_20, type, descrp: $o).
% 0.74/0.44 thf(func_def_21, type, dsetconstr: ($i > ($i > $o) > $i)).
% 0.74/0.44 thf(func_def_22, type, dsetconstrI: $o).
% 0.74/0.44 thf(func_def_23, type, dsetconstrEL: $o).
% 0.74/0.44 thf(func_def_24, type, dsetconstrER: $o).
% 0.74/0.44 thf(func_def_25, type, exuE1: $o).
% 0.74/0.44 thf(func_def_26, type, prop2set: ($o > $i)).
% 0.74/0.44 thf(func_def_27, type, prop2setE: $o).
% 0.74/0.44 thf(func_def_28, type, emptysetE: $o).
% 0.74/0.44 thf(func_def_29, type, emptysetimpfalse: $o).
% 0.74/0.44 thf(func_def_30, type, notinemptyset: $o).
% 0.74/0.44 thf(func_def_31, type, exuE3e: $o).
% 0.74/0.44 thf(func_def_32, type, setext: $o).
% 0.74/0.44 thf(func_def_33, type, emptyI: $o).
% 0.74/0.44 thf(func_def_34, type, noeltsimpempty: $o).
% 0.74/0.44 thf(func_def_35, type, setbeta: $o).
% 0.74/0.44 thf(func_def_36, type, nonempty: ($i > $o)).
% 0.74/0.44 thf(func_def_37, type, nonemptyE1: $o).
% 0.74/0.44 thf(func_def_38, type, nonemptyI: $o).
% 0.74/0.44 thf(func_def_39, type, nonemptyI1: $o).
% 0.74/0.44 thf(func_def_40, type, setadjoinIL: $o).
% 0.74/0.44 thf(func_def_41, type, emptyinunitempty: $o).
% 0.74/0.44 thf(func_def_42, type, setadjoinIR: $o).
% 0.74/0.44 thf(func_def_43, type, setadjoinE: $o).
% 0.74/0.44 thf(func_def_44, type, setadjoinOr: $o).
% 0.74/0.44 thf(func_def_45, type, setoftrueEq: $o).
% 0.74/0.44 thf(func_def_46, type, powersetI: $o).
% 0.74/0.44 thf(func_def_47, type, emptyinPowerset: $o).
% 0.74/0.44 thf(func_def_48, type, emptyInPowerset: $o).
% 0.74/0.44 thf(func_def_49, type, powersetE: $o).
% 0.74/0.44 thf(func_def_50, type, setunionI: $o).
% 0.74/0.44 thf(func_def_51, type, setunionE: $o).
% 0.74/0.44 thf(func_def_52, type, subPowSU: $o).
% 0.74/0.44 thf(func_def_53, type, exuE2: $o).
% 0.74/0.44 thf(func_def_54, type, nonemptyImpWitness: $o).
% 0.74/0.44 thf(func_def_55, type, uniqinunit: $o).
% 0.74/0.44 thf(func_def_56, type, notinsingleton: $o).
% 0.74/0.44 thf(func_def_57, type, eqinunit: $o).
% 0.74/0.44 thf(func_def_58, type, singletonsswitch: $o).
% 0.74/0.44 thf(func_def_59, type, upairsetE: $o).
% 0.74/0.44 thf(func_def_60, type, upairsetIL: $o).
% 0.74/0.44 thf(func_def_61, type, upairsetIR: $o).
% 0.74/0.44 thf(func_def_62, type, emptyE1: $o).
% 0.74/0.44 thf(func_def_63, type, vacuousDall: $o).
% 0.74/0.44 thf(func_def_64, type, quantDeMorgan1: $o).
% 0.74/0.44 thf(func_def_65, type, quantDeMorgan2: $o).
% 0.74/0.44 thf(func_def_66, type, quantDeMorgan3: $o).
% 0.74/0.44 thf(func_def_67, type, quantDeMorgan4: $o).
% 0.74/0.44 thf(func_def_68, type, prop2setI: $o).
% 0.74/0.44 thf(func_def_69, type, set2prop: ($i > $o)).
% 0.74/0.44 thf(func_def_70, type, prop2set2propI: $o).
% 0.74/0.44 thf(func_def_71, type, notdexE: $o).
% 0.74/0.44 thf(func_def_72, type, notdallE: $o).
% 0.74/0.44 thf(func_def_73, type, exuI1: $o).
% 0.74/0.44 thf(func_def_74, type, exuI3: $o).
% 0.74/0.44 thf(func_def_75, type, exuI2: $o).
% 0.74/0.44 thf(func_def_76, type, inCongP: $o).
% 0.74/0.44 thf(func_def_77, type, in__Cong: $o).
% 0.74/0.44 thf(func_def_78, type, exuE3u: $o).
% 0.74/0.44 thf(func_def_79, type, exu__Cong: $o).
% 0.74/0.44 thf(func_def_80, type, emptyset__Cong: $o).
% 0.74/0.44 thf(func_def_81, type, setadjoin__Cong: $o).
% 0.74/0.44 thf(func_def_82, type, powerset__Cong: $o).
% 0.74/0.44 thf(func_def_83, type, setunion__Cong: $o).
% 0.74/0.44 thf(func_def_84, type, omega__Cong: $o).
% 0.74/0.44 thf(func_def_85, type, exuEu: $o).
% 0.74/0.44 thf(func_def_86, type, descr__Cong: $o).
% 0.74/0.44 thf(func_def_87, type, dsetconstr__Cong: $o).
% 0.74/0.44 thf(func_def_88, type, subset: ($i > $i > $o)).
% 0.74/0.44 thf(func_def_89, type, disjoint: ($i > $i > $o)).
% 0.74/0.44 thf(func_def_90, type, setsmeet: ($i > $i > $o)).
% 0.74/0.44 thf(func_def_91, type, subsetI1: $o).
% 0.74/0.44 thf(func_def_92, type, eqimpsubset2: $o).
% 0.74/0.44 thf(func_def_93, type, eqimpsubset1: $o).
% 0.74/0.44 thf(func_def_94, type, subsetI2: $o).
% 0.74/0.44 thf(func_def_95, type, emptysetsubset: $o).
% 0.74/0.44 thf(func_def_96, type, subsetE: $o).
% 0.74/0.44 thf(func_def_97, type, subsetE2: $o).
% 0.74/0.44 thf(func_def_98, type, notsubsetI: $o).
% 0.74/0.44 thf(func_def_99, type, notequalI1: $o).
% 0.74/0.44 thf(func_def_100, type, notequalI2: $o).
% 0.74/0.44 thf(func_def_101, type, subsetRefl: $o).
% 0.74/0.44 thf(func_def_102, type, subsetTrans: $o).
% 0.74/0.44 thf(func_def_103, type, setadjoinSub: $o).
% 0.74/0.44 thf(func_def_104, type, setadjoinSub2: $o).
% 0.74/0.44 thf(func_def_105, type, subset2powerset: $o).
% 0.74/0.44 thf(func_def_106, type, setextsub: $o).
% 0.74/0.44 thf(func_def_107, type, subsetemptysetimpeq: $o).
% 0.74/0.44 thf(func_def_108, type, powersetI1: $o).
% 0.74/0.44 thf(func_def_109, type, powersetE1: $o).
% 0.74/0.44 thf(func_def_110, type, inPowerset: $o).
% 0.74/0.44 thf(func_def_111, type, powersetsubset: $o).
% 0.74/0.44 thf(func_def_112, type, sepInPowerset: $o).
% 0.74/0.44 thf(func_def_113, type, sepSubset: $o).
% 0.74/0.44 thf(func_def_114, type, binunion: ($i > $i > $i)).
% 0.74/0.44 thf(func_def_115, type, binunionIL: $o).
% 0.74/0.44 thf(func_def_116, type, upairset2IR: $o).
% 0.74/0.44 thf(func_def_117, type, binunionIR: $o).
% 0.74/0.44 thf(func_def_118, type, binunionEcases: $o).
% 0.74/0.44 thf(func_def_119, type, binunionE: $o).
% 0.74/0.44 thf(func_def_120, type, binunionLsub: $o).
% 0.74/0.44 thf(func_def_121, type, binunionRsub: $o).
% 0.74/0.44 thf(func_def_122, type, binintersect: ($i > $i > $i)).
% 0.74/0.44 thf(func_def_123, type, binintersectI: $o).
% 0.74/0.44 thf(func_def_124, type, binintersectSubset5: $o).
% 0.74/0.44 thf(func_def_125, type, binintersectEL: $o).
% 0.74/0.44 thf(func_def_126, type, binintersectLsub: $o).
% 0.74/0.44 thf(func_def_127, type, binintersectSubset2: $o).
% 0.74/0.44 thf(func_def_128, type, binintersectSubset3: $o).
% 0.74/0.44 thf(func_def_129, type, binintersectER: $o).
% 0.74/0.44 thf(func_def_130, type, disjointsetsI1: $o).
% 0.74/0.44 thf(func_def_131, type, binintersectRsub: $o).
% 0.74/0.44 thf(func_def_132, type, binintersectSubset4: $o).
% 0.74/0.44 thf(func_def_133, type, binintersectSubset1: $o).
% 0.74/0.44 thf(func_def_134, type, bs114d: $o).
% 0.74/0.44 thf(func_def_135, type, regular: ($i > $o)).
% 0.74/0.44 thf(func_def_136, type, setminus: ($i > $i > $i)).
% 0.74/0.44 thf(func_def_137, type, setminusI: $o).
% 0.74/0.44 thf(func_def_138, type, setminusEL: $o).
% 0.74/0.44 thf(func_def_139, type, setminusER: $o).
% 0.74/0.44 thf(func_def_140, type, setminusSubset2: $o).
% 0.74/0.44 thf(func_def_141, type, setminusERneg: $o).
% 0.74/0.44 thf(func_def_142, type, setminusELneg: $o).
% 0.74/0.44 thf(func_def_143, type, setminusILneg: $o).
% 0.74/0.44 thf(func_def_144, type, setminusIRneg: $o).
% 0.74/0.44 thf(func_def_145, type, setminusLsub: $o).
% 0.74/0.44 thf(func_def_146, type, setminusSubset1: $o).
% 0.74/0.44 thf(func_def_147, type, symdiff: ($i > $i > $i)).
% 0.74/0.44 thf(func_def_148, type, symdiffE: $o).
% 0.74/0.44 thf(func_def_149, type, symdiffI1: $o).
% 0.74/0.44 thf(func_def_150, type, symdiffI2: $o).
% 0.74/0.44 thf(func_def_151, type, symdiffIneg1: $o).
% 0.74/0.44 thf(func_def_152, type, symdiffIneg2: $o).
% 0.74/0.44 thf(func_def_153, type, iskpair: ($i > $o)).
% 0.74/0.44 thf(func_def_154, type, secondinupair: $o).
% 0.74/0.44 thf(func_def_155, type, setukpairIL: $o).
% 0.74/0.44 thf(func_def_156, type, db0: !>[X0: $tType]:(X0)).
% 0.74/0.44 thf(func_def_157, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.74/0.44 thf(func_def_160, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.74/0.44 thf(func_def_161, type, vAND: ($o > $o > $o)).
% 0.74/0.44 thf(func_def_162, type, db1: !>[X0: $tType]:(X0)).
% 0.74/0.44 thf(func_def_163, type, db2: !>[X0: $tType]:(X0)).
% 0.74/0.44 thf(func_def_164, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.74/0.44 thf(func_def_165, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.74/0.44 thf(func_def_166, type, vIMP: ($o > $o > $o)).
% 0.74/0.44 thf(func_def_167, type, vNOT: ($o > $o)).
% 0.74/0.44 thf(func_def_168, type, sP0: ($i > $i > $o)).
% 0.74/0.44 thf(func_def_169, type, sP1: ($i > $o)).
% 0.74/0.44 thf(func_def_170, type, sP2: $o).
% 0.74/0.44 thf(func_def_177, type, sK9: ($i > $i)).
% 0.74/0.44 thf(func_def_180, type, sK12: ($i > $i)).
% 0.74/0.44 thf(func_def_183, type, sK15: ($i > $i > $i)).
% 0.74/0.44 thf(func_def_184, type, sK16: ($i > $i > $i)).
% 0.74/0.44 thf(func_def_193, type, sK25: $o).
% 0.74/0.44 thf(func_def_206, type, sK38: ($i > $i)).
% 0.74/0.44 thf(func_def_221, type, sK53: ($i > $o)).
% 0.74/0.44 thf(func_def_222, type, sK54: ($i > $o)).
% 0.74/0.44 thf(func_def_223, type, sK55: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 0.74/0.44 thf(func_def_224, type, sK56: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 0.74/0.44 thf(func_def_235, type, sK67: ($i > $o)).
% 0.74/0.44 thf(func_def_243, type, sK75: ($i > ($i > $i > $o) > $i)).
% 0.74/0.44 thf(func_def_244, type, sK76: ($i > $i > ($i > $i > $o) > $i)).
% 0.74/0.44 thf(func_def_245, type, sK77: ($i > ($i > $i > $o) > $i)).
% 0.74/0.44 thf(func_def_246, type, sK78: ($i > $i > $o)).
% 0.74/0.44 thf(func_def_248, type, sK80: ($i > $i)).
% 0.74/0.44 thf(func_def_249, type, sK81: ($i > $i)).
% 0.74/0.44 thf(func_def_254, type, sK86: ($i > $o)).
% 0.74/0.44 thf(func_def_264, type, sK96: ($i > $o)).
% 0.74/0.44 thf(func_def_266, type, sK98: (($i > $o) > $i)).
% 0.74/0.44 thf(func_def_267, type, sK99: (($i > $o) > $i)).
% 0.74/0.44 thf(func_def_271, type, sK103: ($i > $o)).
% 0.74/0.44 thf(func_def_276, type, sK108: ($i > $o)).
% 0.74/0.44 thf(func_def_295, type, sK127: $o).
% 0.74/0.44 thf(func_def_301, type, sK133: ($i > $o)).
% 0.74/0.44 thf(func_def_316, type, sK148: ($i > $i > $i)).
% 0.74/0.45 thf(func_def_318, type, sK150: ($i > $i)).
% 0.74/0.45 thf(func_def_319, type, sK151: ($i > $i)).
% 0.74/0.45 thf(func_def_320, type, sK152: ($i > $i)).
% 0.74/0.45 thf(func_def_321, type, sK153: ($i > $i)).
% 0.74/0.45 thf(func_def_322, type, sK154: ($i > $i)).
% 0.74/0.45 thf(func_def_323, type, sK155: ($i > $i > $i > $i)).
% 0.74/0.45 thf(func_def_324, type, sK156: ($i > $i)).
% 0.74/0.45 thf(func_def_325, type, sK157: ($i > $i)).
% 0.74/0.45 thf(func_def_326, type, sK158: ($i > $i)).
% 0.74/0.45 thf(func_def_327, type, sK159: ($i > $i)).
% 0.74/0.45 thf(func_def_328, type, sK160: ($i > $i > $i)).
% 0.74/0.45 thf(func_def_329, type, sK161: ($i > $i > $i)).
% 0.74/0.45 thf(func_def_330, type, sK162: ($i > $i > $i > $i)).
% 0.74/0.45 thf(func_def_331, type, sK163: ($i > $i > $i > $i)).
% 0.74/0.45 thf(func_def_332, type, sK164: ($i > $i > $i > $i)).
% 0.74/0.45 thf(func_def_333, type, sK165: ($i > $i > $i)).
% 0.74/0.45 thf(func_def_334, type, sK166: ($i > $i > $i)).
% 0.74/0.45 thf(func_def_335, type, sK167: ($i > $i > $i)).
% 0.74/0.45 thf(func_def_338, type, sK170: $o).
% 0.74/0.45 thf(func_def_339, type, sK171: ($o > $i > $i > $i)).
% 0.74/0.45 thf(func_def_347, type, sK179: ($i > $i)).
% 0.74/0.45 thf(func_def_348, type, sK180: ($i > $o)).
% 0.74/0.45 thf(func_def_356, type, sK188: ($i > $o)).
% 0.74/0.45 thf(func_def_366, type, sK198: (($i > $o) > ($i > $o) > $i)).
% 0.74/0.45 thf(func_def_367, type, sK199: (($i > $o) > ($i > $o) > $i)).
% 0.74/0.45 thf(func_def_368, type, sK200: ($i > $o)).
% 0.74/0.45 thf(func_def_369, type, sK201: ($i > $o)).
% 0.74/0.45 thf(func_def_370, type, sK202: ($i > $o)).
% 0.74/0.45 thf(func_def_375, type, sK207: ($i > $i > $i)).
% 0.74/0.45 thf(func_def_382, type, sK214: ($i > $i)).
% 0.74/0.45 thf(func_def_386, type, sK218: (($i > $o) > $i)).
% 0.74/0.45 thf(func_def_387, type, sK219: ($i > $o)).
% 0.74/0.45 thf(func_def_388, type, sK220: ($i > $i)).
% 0.74/0.45 thf(func_def_393, type, sK225: ($i > $i)).
% 0.74/0.45 thf(func_def_395, type, sK227: $o).
% 0.74/0.45 thf(func_def_401, type, sK233: (($i > $o) > $i)).
% 0.74/0.45 thf(func_def_402, type, sK234: ($i > $o)).
% 0.74/0.45 thf(func_def_404, type, sK236: ($i > ($i > $o) > $i)).
% 0.74/0.45 thf(func_def_405, type, sK237: ($i > $o)).
% 0.74/0.45 thf(func_def_411, type, sK243: ($i > $o)).
% 0.74/0.45 thf(func_def_420, type, sK252: ($i > $i)).
% 0.74/0.45 thf(func_def_421, type, sK253: ($i > $o)).
% 0.74/0.45 thf(func_def_424, type, sK256: ($i > $o)).
% 0.74/0.45 thf(func_def_426, type, sK258: ($i > $o)).
% 0.74/0.45 thf(func_def_429, type, sK261: ($i > ($i > $o) > $i)).
% 0.74/0.45 thf(func_def_430, type, sK262: (($i > $o) > ($i > $o) > $i)).
% 0.74/0.45 thf(func_def_431, type, sK263: (($i > $o) > ($i > $o) > $i)).
% 0.74/0.45 thf(func_def_432, type, sK264: ($i > $o)).
% 0.74/0.45 thf(func_def_433, type, sK265: ($i > $o)).
% 0.74/0.45 thf(func_def_434, type, sK266: $o).
% 0.74/0.45 thf(func_def_436, type, sK268: ($i > $i > $i)).
% 0.74/0.45 thf(func_def_444, type, sK276: ($i > $o)).
% 0.74/0.45 thf(func_def_460, type, sK292: $o).
% 0.74/0.45 thf(func_def_465, type, sK297: ($i > ($i > $o) > $i)).
% 0.74/0.45 thf(func_def_466, type, sK298: ($i > $o)).
% 0.74/0.45 thf(func_def_472, type, sK304: ($i > $i > $i)).
% 0.74/0.45 thf(func_def_475, type, sK307: ($i > ($i > $o) > $i)).
% 0.74/0.45 thf(func_def_476, type, sK308: ($i > $o)).
% 0.74/0.45 thf(func_def_483, type, sK315: ($i > $o)).
% 0.74/0.45 thf(func_def_485, type, sK317: ($i > ($i > $o) > $i)).
% 0.74/0.45 thf(func_def_487, type, sK319: $o).
% 0.74/0.45 thf(func_def_496, type, sK328: ($i > ($i > $o) > $i)).
% 0.74/0.45 thf(func_def_497, type, sK329: ($i > $o)).
% 0.74/0.45 thf(func_def_510, type, sK342: ($i > ($i > $o) > $i)).
% 0.74/0.45 thf(func_def_511, type, sK343: ($i > $o)).
% 0.74/0.45 thf(func_def_514, type, sK346: ($i > $i > $i)).
% 0.74/0.45 thf(func_def_520, type, sK352: $o).
% 0.74/0.45 thf(func_def_521, type, sK353: ($i > $o)).
% 0.74/0.45 thf(func_def_522, type, sK354: ($i > $i)).
% 0.74/0.45 thf(func_def_523, type, sK355: (($i > $o) > $i)).
% 0.74/0.45 thf(func_def_524, type, sK356: ($i > $i > $i)).
% 0.74/0.45 thf(func_def_525, type, sK357: ($i > $i > $i)).
% 0.74/0.45 thf(func_def_530, type, sK362: (($i > $o) > $i > $i)).
% 0.74/0.45 thf(func_def_532, type, sK364: ($i > $o)).
% 0.74/0.45 thf(f6,axiom,(
% 0.74/0.45 (! [X0 : $i,X1 : $i] : (? [X2 : $i] : ((in @ X2 @ X0) & (in @ X1 @ X2)) <=> (in @ X1 @ (setunion @ X0))) = setunionAx)),
% 0.74/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionAx)).
% 0.74/0.45 thf(f52,axiom,(
% 0.74/0.45 (! [X1 : $i,X0 : $i] : (in @ X1 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))) = upairsetIR)),
% 0.74/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upairsetIR)).
% 0.74/0.45 thf(f138,conjecture,(
% 0.74/0.45 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 => ! [X1 : $i,X0 : $i] : (in @ X1 @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.74/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setukpairIR)).
% 0.74/0.45 thf(f139,negated_conjecture,(
% 0.74/0.45 ~(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 => ! [X1 : $i,X0 : $i] : (in @ X1 @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.74/0.45 inference(negated_conjecture,[status(cth)],[f138])).
% 0.74/0.45 thf(f237,plain,(
% 0.74/0.45 (! [X0 : $i,X1 : $i] : (? [X2 : $i] : ((in @ X2 @ X0) & (in @ X1 @ X2)) <=> (in @ X1 @ (setunion @ X0))) = setunionAx)),
% 0.74/0.45 inference(rectify,[],[f6])).
% 0.74/0.45 thf(f238,plain,(
% 0.74/0.45 (setunionAx = $true) <=> ! [X0 : $i,X1 : $i] : ((((in @ X1 @ (setunion @ X0))) = $true) <=> ? [X2 : $i] : ((((in @ X2 @ X0)) = $true) & (((in @ X1 @ X2)) = $true)))),
% 0.74/0.45 inference(fool_elimination,[],[f237])).
% 0.74/0.45 thf(f298,plain,(
% 0.74/0.45 ~(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 => ! [X0 : $i,X1 : $i] : (in @ X0 @ (setunion @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)) @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.74/0.45 inference(rectify,[],[f139])).
% 0.74/0.45 thf(f299,plain,(
% 0.74/0.45 ~((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) => ! [X0 : $i,X1 : $i] : (((in @ X0 @ (setunion @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)) @ emptyset))))) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.74/0.45 inference(fool_elimination,[],[f298])).
% 0.74/0.45 thf(f339,plain,(
% 0.74/0.45 (! [X0 : $i,X1 : $i] : (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))) = upairsetIR)),
% 0.74/0.45 inference(rectify,[],[f52])).
% 0.74/0.45 thf(f340,plain,(
% 0.74/0.45 ! [X1 : $i,X0 : $i] : ($true = ((in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))))) <=> (upairsetIR = $true)),
% 0.74/0.45 inference(fool_elimination,[],[f339])).
% 0.74/0.45 thf(f514,plain,(
% 0.74/0.45 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X1 : $i,X0 : $i] : (((in @ X0 @ (setunion @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)) @ emptyset))))) != $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)),
% 0.74/0.45 inference(ennf_transformation,[],[f299])).
% 0.74/0.45 thf(f515,plain,(
% 0.74/0.45 (notsubsetI = $true) & (setext = $true) & (dsetconstrER = $true) & (dsetconstr__Cong = $true) & (eqimpsubset2 = $true) & (notinemptyset = $true) & (setadjoinIR = $true) & (omega0Ax = $true) & (upairsetIR = $true) & (subsetE2 = $true) & (setadjoinIL = $true) & (binintersectSubset4 = $true) & (quantDeMorgan3 = $true) & (subsetI1 = $true) & (inCongP = $true) & ? [X1 : $i,X0 : $i] : (((in @ X0 @ (setunion @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)) @ emptyset))))) != $true) & (binunionE = $true) & (setadjoin__Cong = $true) & (binunionRsub = $true) & (omegaIndAx = $true) & (inPowerset = $true) & (upairsetE = $true) & (singletonsswitch = $true) & (setadjoinSub2 = $true) & (dsetconstrEL = $true) & (emptysetE = $true) & (binunionLsub = $true) & (emptyinunitempty = $true) & (emptyset__Cong = $true) & (binintersectRsub = $true) & (subsetemptysetimpeq = $true) & (emptysetsubset = $true) & (notdallE = $true) & (foundationAx = $true) & (emptysetAx = $true) & (notequalI2 = $true) & (upairsetIL = $true) & (powersetE = $true) & (symdiffE = $true) & (powersetI = $true) & (emptysetimpfalse = $true) & (descrp = $true) & (binintersectSubset5 = $true) & (symdiffI2 = $true) & (setukpairIL = $true) & (binunionEcases = $true) & (subset2powerset = $true) & (binunionIL = $true) & (setadjoinAx = $true) & (binintersectER = $true) & (eqinunit = $true) & (subsetTrans = $true) & (eqimpsubset1 = $true) & (exuEu = $true) & (setunionAx = $true) & (setminusSubset1 = $true) & (quantDeMorgan4 = $true) & (setoftrueEq = $true) & (notequalI1 = $true) & (setminusI = $true) & (disjointsetsI1 = $true) & (setunionE = $true) & (powersetE1 = $true) & (exuI3 = $true) & (wellorderingAx = $true) & (prop2setE = $true) & (quantDeMorgan1 = $true) & (notinsingleton = $true) & (emptyinPowerset = $true) & (setadjoinSub = $true) & (powerset__Cong = $true) & (exuE3u = $true) & (exuE1 = $true) & (nonemptyI1 = $true) & (setminusERneg = $true) & (setminusILneg = $true) & (descr__Cong = $true) & (powersetI1 = $true) & (omega__Cong = $true) & (setminusSubset2 = $true) & (secondinupair = $true) & (bs114d = $true) & (binintersectSubset1 = $true) & (binintersectSubset2 = $true) & (setadjoinE = $true) & (noeltsimpempty = $true) & (setminusELneg = $true) & (nonemptyImpWitness = $true) & (binintersectSubset3 = $true) & (subPowSU = $true) & (setminusLsub = $true) & (sepSubset = $true) & (exuE2 = $true) & (exuI2 = $true) & (binintersectI = $true) & (setadjoinOr = $true) & (setunion__Cong = $true) & (setbeta = $true) & (dsetconstrI = $true) & (setunionI = $true) & (subsetRefl = $true) & (upairset2IR = $true) & (exuI1 = $true) & (nonemptyE1 = $true) & (setextsub = $true) & (prop2setI = $true) & (replAx = $true) & (setminusEL = $true) & (in__Cong = $true) & (prop2set2propI = $true) & (omegaSAx = $true) & (notdexE = $true) & (sepInPowerset = $true) & (powersetsubset = $true) & (symdiffIneg2 = $true) & (setminusIRneg = $true) & (binunionIR = $true) & (powersetAx = $true) & (symdiffIneg1 = $true) & (setextAx = $true) & (exu__Cong = $true) & (setminusER = $true) & (subsetE = $true) & (exuE3e = $true) & (binintersectLsub = $true) & (subsetI2 = $true) & (emptyE1 = $true) & (nonemptyI = $true) & (quantDeMorgan2 = $true) & (vacuousDall = $true) & (emptyI = $true) & (binintersectEL = $true) & (uniqinunit = $true) & (emptyInPowerset = $true) & (symdiffI1 = $true)),
% 0.74/0.45 inference(flattening,[],[f514])).
% 0.74/0.45 thf(f641,plain,(
% 0.74/0.45 (! [X1 : $i,X0 : $i] : ($true = ((in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))))) | (upairsetIR != $true)) & ((upairsetIR = $true) | ? [X1 : $i,X0 : $i] : ($true != ((in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))))))),
% 0.74/0.45 inference(nnf_transformation,[],[f340])).
% 0.74/0.45 thf(f642,plain,(
% 0.74/0.45 (! [X0 : $i,X1 : $i] : (((in @ X1 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) = $true) | (upairsetIR != $true)) & ((upairsetIR = $true) | ? [X2 : $i,X3 : $i] : ($true != ((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))))),
% 0.74/0.45 inference(rectify,[],[f641])).
% 0.74/0.45 thf(f643,plain,(
% 0.74/0.45 (! [X0 : $i,X1 : $i] : (((in @ X1 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) = $true) | (upairsetIR != $true)) & ((upairsetIR = $true) | (((in @ sK50 @ (setadjoin @ sK49 @ (setadjoin @ sK50 @ emptyset)))) != $true))),
% 0.74/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK49,sK50]),skolemize(X2,sK49),skolemize(X3,sK50)],[f642])).
% 0.74/0.45 thf(f759,plain,(
% 0.74/0.45 ((setunionAx = $true) | ? [X0 : $i,X1 : $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)))) & (! [X0 : $i,X1 : $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))),
% 0.74/0.45 inference(nnf_transformation,[],[f238])).
% 0.74/0.45 thf(f760,plain,(
% 0.74/0.45 ((setunionAx = $true) | ? [X0 : $i,X1 : $i] : ((! [X2 : $i] : ((((in @ X2 @ X0)) != $true) | (((in @ X1 @ X2)) != $true)) | (((in @ X1 @ (setunion @ X0))) != $true)) & (? [X3 : $i] : ((((in @ X3 @ X0)) = $true) & (((in @ X1 @ X3)) = $true)) | (((in @ X1 @ (setunion @ X0))) = $true)))) & (! [X4 : $i,X5 : $i] : ((($true = ((in @ X5 @ (setunion @ X4)))) | ! [X6 : $i] : (($true != ((in @ X6 @ X4))) | (((in @ X5 @ X6)) != $true))) & (? [X7 : $i] : ((((in @ X7 @ X4)) = $true) & (((in @ X5 @ X7)) = $true)) | ($true != ((in @ X5 @ (setunion @ X4)))))) | (setunionAx != $true))),
% 0.74/0.45 inference(rectify,[],[f759])).
% 0.74/0.45 thf(f761,plain,(
% 0.74/0.45 ((setunionAx = $true) | ((! [X2 : $i] : ((((in @ X2 @ sK145)) != $true) | ($true != ((in @ sK146 @ X2)))) | ($true != ((in @ sK146 @ (setunion @ sK145))))) & ((($true = ((in @ sK147 @ sK145))) & (((in @ sK146 @ sK147)) = $true)) | ($true = ((in @ sK146 @ (setunion @ sK145))))))) & (! [X4 : $i,X5 : $i] : ((($true = ((in @ X5 @ (setunion @ X4)))) | ! [X6 : $i] : (($true != ((in @ X6 @ X4))) | (((in @ X5 @ X6)) != $true))) & (((((in @ (sK148 @ X5 @ X4) @ X4)) = $true) & ($true = ((in @ X5 @ (sK148 @ X5 @ X4))))) | ($true != ((in @ X5 @ (setunion @ X4)))))) | (setunionAx != $true))),
% 0.74/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK145,sK146,sK147,vAPP]),skolemize(X0,sK145),skolemize(X1,sK146),skolemize(X3,sK147),skolemize(X7,sK12 @ X6)],[f760])).
% 0.74/0.45 thf(f966,plain,(
% 0.74/0.45 (notsubsetI = $true) & (setext = $true) & (dsetconstrER = $true) & (dsetconstr__Cong = $true) & (eqimpsubset2 = $true) & (notinemptyset = $true) & (setadjoinIR = $true) & (omega0Ax = $true) & (upairsetIR = $true) & (subsetE2 = $true) & (setadjoinIL = $true) & (binintersectSubset4 = $true) & (quantDeMorgan3 = $true) & (subsetI1 = $true) & (inCongP = $true) & ? [X0 : $i,X1 : $i] : (((in @ X1 @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))))) != $true) & (binunionE = $true) & (setadjoin__Cong = $true) & (binunionRsub = $true) & (omegaIndAx = $true) & (inPowerset = $true) & (upairsetE = $true) & (singletonsswitch = $true) & (setadjoinSub2 = $true) & (dsetconstrEL = $true) & (emptysetE = $true) & (binunionLsub = $true) & (emptyinunitempty = $true) & (emptyset__Cong = $true) & (binintersectRsub = $true) & (subsetemptysetimpeq = $true) & (emptysetsubset = $true) & (notdallE = $true) & (foundationAx = $true) & (emptysetAx = $true) & (notequalI2 = $true) & (upairsetIL = $true) & (powersetE = $true) & (symdiffE = $true) & (powersetI = $true) & (emptysetimpfalse = $true) & (descrp = $true) & (binintersectSubset5 = $true) & (symdiffI2 = $true) & (setukpairIL = $true) & (binunionEcases = $true) & (subset2powerset = $true) & (binunionIL = $true) & (setadjoinAx = $true) & (binintersectER = $true) & (eqinunit = $true) & (subsetTrans = $true) & (eqimpsubset1 = $true) & (exuEu = $true) & (setunionAx = $true) & (setminusSubset1 = $true) & (quantDeMorgan4 = $true) & (setoftrueEq = $true) & (notequalI1 = $true) & (setminusI = $true) & (disjointsetsI1 = $true) & (setunionE = $true) & (powersetE1 = $true) & (exuI3 = $true) & (wellorderingAx = $true) & (prop2setE = $true) & (quantDeMorgan1 = $true) & (notinsingleton = $true) & (emptyinPowerset = $true) & (setadjoinSub = $true) & (powerset__Cong = $true) & (exuE3u = $true) & (exuE1 = $true) & (nonemptyI1 = $true) & (setminusERneg = $true) & (setminusILneg = $true) & (descr__Cong = $true) & (powersetI1 = $true) & (omega__Cong = $true) & (setminusSubset2 = $true) & (secondinupair = $true) & (bs114d = $true) & (binintersectSubset1 = $true) & (binintersectSubset2 = $true) & (setadjoinE = $true) & (noeltsimpempty = $true) & (setminusELneg = $true) & (nonemptyImpWitness = $true) & (binintersectSubset3 = $true) & (subPowSU = $true) & (setminusLsub = $true) & (sepSubset = $true) & (exuE2 = $true) & (exuI2 = $true) & (binintersectI = $true) & (setadjoinOr = $true) & (setunion__Cong = $true) & (setbeta = $true) & (dsetconstrI = $true) & (setunionI = $true) & (subsetRefl = $true) & (upairset2IR = $true) & (exuI1 = $true) & (nonemptyE1 = $true) & (setextsub = $true) & (prop2setI = $true) & (replAx = $true) & (setminusEL = $true) & (in__Cong = $true) & (prop2set2propI = $true) & (omegaSAx = $true) & (notdexE = $true) & (sepInPowerset = $true) & (powersetsubset = $true) & (symdiffIneg2 = $true) & (setminusIRneg = $true) & (binunionIR = $true) & (powersetAx = $true) & (symdiffIneg1 = $true) & (setextAx = $true) & (exu__Cong = $true) & (setminusER = $true) & (subsetE = $true) & (exuE3e = $true) & (binintersectLsub = $true) & (subsetI2 = $true) & (emptyE1 = $true) & (nonemptyI = $true) & (quantDeMorgan2 = $true) & (vacuousDall = $true) & (emptyI = $true) & (binintersectEL = $true) & (uniqinunit = $true) & (emptyInPowerset = $true) & (symdiffI1 = $true)),
% 0.74/0.45 inference(rectify,[],[f515])).
% 0.74/0.45 thf(f967,plain,(
% 0.74/0.45 (notsubsetI = $true) & (setext = $true) & (dsetconstrER = $true) & (dsetconstr__Cong = $true) & (eqimpsubset2 = $true) & (notinemptyset = $true) & (setadjoinIR = $true) & (omega0Ax = $true) & (upairsetIR = $true) & (subsetE2 = $true) & (setadjoinIL = $true) & (binintersectSubset4 = $true) & (quantDeMorgan3 = $true) & (subsetI1 = $true) & (inCongP = $true) & (((in @ sK338 @ (setunion @ (setadjoin @ (setadjoin @ sK337 @ emptyset) @ (setadjoin @ (setadjoin @ sK337 @ (setadjoin @ sK338 @ emptyset)) @ emptyset))))) != $true) & (binunionE = $true) & (setadjoin__Cong = $true) & (binunionRsub = $true) & (omegaIndAx = $true) & (inPowerset = $true) & (upairsetE = $true) & (singletonsswitch = $true) & (setadjoinSub2 = $true) & (dsetconstrEL = $true) & (emptysetE = $true) & (binunionLsub = $true) & (emptyinunitempty = $true) & (emptyset__Cong = $true) & (binintersectRsub = $true) & (subsetemptysetimpeq = $true) & (emptysetsubset = $true) & (notdallE = $true) & (foundationAx = $true) & (emptysetAx = $true) & (notequalI2 = $true) & (upairsetIL = $true) & (powersetE = $true) & (symdiffE = $true) & (powersetI = $true) & (emptysetimpfalse = $true) & (descrp = $true) & (binintersectSubset5 = $true) & (symdiffI2 = $true) & (setukpairIL = $true) & (binunionEcases = $true) & (subset2powerset = $true) & (binunionIL = $true) & (setadjoinAx = $true) & (binintersectER = $true) & (eqinunit = $true) & (subsetTrans = $true) & (eqimpsubset1 = $true) & (exuEu = $true) & (setunionAx = $true) & (setminusSubset1 = $true) & (quantDeMorgan4 = $true) & (setoftrueEq = $true) & (notequalI1 = $true) & (setminusI = $true) & (disjointsetsI1 = $true) & (setunionE = $true) & (powersetE1 = $true) & (exuI3 = $true) & (wellorderingAx = $true) & (prop2setE = $true) & (quantDeMorgan1 = $true) & (notinsingleton = $true) & (emptyinPowerset = $true) & (setadjoinSub = $true) & (powerset__Cong = $true) & (exuE3u = $true) & (exuE1 = $true) & (nonemptyI1 = $true) & (setminusERneg = $true) & (setminusILneg = $true) & (descr__Cong = $true) & (powersetI1 = $true) & (omega__Cong = $true) & (setminusSubset2 = $true) & (secondinupair = $true) & (bs114d = $true) & (binintersectSubset1 = $true) & (binintersectSubset2 = $true) & (setadjoinE = $true) & (noeltsimpempty = $true) & (setminusELneg = $true) & (nonemptyImpWitness = $true) & (binintersectSubset3 = $true) & (subPowSU = $true) & (setminusLsub = $true) & (sepSubset = $true) & (exuE2 = $true) & (exuI2 = $true) & (binintersectI = $true) & (setadjoinOr = $true) & (setunion__Cong = $true) & (setbeta = $true) & (dsetconstrI = $true) & (setunionI = $true) & (subsetRefl = $true) & (upairset2IR = $true) & (exuI1 = $true) & (nonemptyE1 = $true) & (setextsub = $true) & (prop2setI = $true) & (replAx = $true) & (setminusEL = $true) & (in__Cong = $true) & (prop2set2propI = $true) & (omegaSAx = $true) & (notdexE = $true) & (sepInPowerset = $true) & (powersetsubset = $true) & (symdiffIneg2 = $true) & (setminusIRneg = $true) & (binunionIR = $true) & (powersetAx = $true) & (symdiffIneg1 = $true) & (setextAx = $true) & (exu__Cong = $true) & (setminusER = $true) & (subsetE = $true) & (exuE3e = $true) & (binintersectLsub = $true) & (subsetI2 = $true) & (emptyE1 = $true) & (nonemptyI = $true) & (quantDeMorgan2 = $true) & (vacuousDall = $true) & (emptyI = $true) & (binintersectEL = $true) & (uniqinunit = $true) & (emptyInPowerset = $true) & (symdiffI1 = $true)),
% 0.74/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK337,sK338]),skolemize(X0,sK337),skolemize(X1,sK338)],[f966])).
% 0.74/0.45 thf(f1059,plain,(
% 0.74/0.45 ( ! [X0 : $i,X1 : $i] : ((((in @ X1 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) = $true) | (upairsetIR != $true)) )),
% 0.74/0.45 inference(cnf_transformation,[],[f643])).
% 0.74/0.45 thf(f1198,plain,(
% 0.74/0.45 ( ! [X6 : $i,X4 : $i,X5 : $i] : (($true != ((in @ X6 @ X4))) | (((in @ X5 @ X6)) != $true) | ($true = ((in @ X5 @ (setunion @ X4)))) | (setunionAx != $true)) )),
% 0.74/0.45 inference(cnf_transformation,[],[f761])).
% 0.74/0.45 thf(f1563,plain,(
% 0.74/0.45 (setunionAx = $true)),
% 0.74/0.45 inference(cnf_transformation,[],[f967])).
% 0.74/0.45 thf(f1602,plain,(
% 0.74/0.45 (((in @ sK338 @ (setunion @ (setadjoin @ (setadjoin @ sK337 @ emptyset) @ (setadjoin @ (setadjoin @ sK337 @ (setadjoin @ sK338 @ emptyset)) @ emptyset))))) != $true)),
% 0.74/0.45 inference(cnf_transformation,[],[f967])).
% 0.74/0.45 thf(f1609,plain,(
% 0.74/0.45 (upairsetIR = $true)),
% 0.74/0.45 inference(cnf_transformation,[],[f967])).
% 0.74/0.45 thf(f2424,definition,(
% 0.74/0.45 spl366_142 <=> (((in @ sK338 @ (setunion @ (setadjoin @ (setadjoin @ sK337 @ emptyset) @ (setadjoin @ (setadjoin @ sK337 @ (setadjoin @ sK338 @ emptyset)) @ emptyset))))) = $true)),
% 0.74/0.45 introduced(definition,[new_symbols(definition,[spl366_142])],[avatar_definition])).
% 0.74/0.45 thf(f2426,plain,(
% 0.74/0.45 (((in @ sK338 @ (setunion @ (setadjoin @ (setadjoin @ sK337 @ emptyset) @ (setadjoin @ (setadjoin @ sK337 @ (setadjoin @ sK338 @ emptyset)) @ emptyset))))) != $true) | spl366_142),
% 0.74/0.45 inference(avatar_component_clause,[],[f2424])).
% 0.74/0.45 thf(f2427,plain,(
% 0.74/0.45 ~spl366_142),
% 0.74/0.45 inference(avatar_split_clause,[],[f1602,f2424])).
% 0.74/0.45 thf(f2680,definition,(
% 0.74/0.45 spl366_199 <=> ! [X2 : $i,X0 : $i,X1 : $i] : (($true != ((in @ X0 @ X1))) | ($true = ((in @ X2 @ (setunion @ X1)))) | (((in @ X2 @ X0)) != $true))),
% 0.74/0.45 introduced(definition,[new_symbols(definition,[spl366_199])],[avatar_definition])).
% 0.74/0.45 thf(f2681,plain,(
% 0.74/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = ((in @ X2 @ (setunion @ X1)))) | ($true != ((in @ X0 @ X1))) | (((in @ X2 @ X0)) != $true)) ) | ~spl366_199),
% 0.74/0.45 inference(avatar_component_clause,[],[f2680])).
% 0.74/0.45 thf(f2833,definition,(
% 0.74/0.45 spl366_233 <=> (upairsetIR = $true)),
% 0.74/0.45 introduced(definition,[new_symbols(definition,[spl366_233])],[avatar_definition])).
% 0.74/0.45 thf(f2851,definition,(
% 0.74/0.45 spl366_237 <=> (setunionAx = $true)),
% 0.74/0.45 introduced(definition,[new_symbols(definition,[spl366_237])],[avatar_definition])).
% 0.74/0.45 thf(f3488,plain,(
% 0.74/0.45 spl366_237),
% 0.74/0.45 inference(avatar_split_clause,[],[f1563,f2851])).
% 0.74/0.45 thf(f3629,plain,(
% 0.74/0.45 ~spl366_237 | spl366_199),
% 0.74/0.45 inference(avatar_split_clause,[],[f1198,f2680,f2851])).
% 0.74/0.45 thf(f3778,definition,(
% 0.74/0.45 spl366_430 <=> ! [X2 : $i,X3 : $i] : ($true = ((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))),
% 0.74/0.45 introduced(definition,[new_symbols(definition,[spl366_430])],[avatar_definition])).
% 0.74/0.45 thf(f3779,plain,(
% 0.74/0.45 ( ! [X2 : $i,X3 : $i] : (($true = ((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))) ) | ~spl366_430),
% 0.74/0.45 inference(avatar_component_clause,[],[f3778])).
% 0.74/0.45 thf(f3802,plain,(
% 0.74/0.45 spl366_233),
% 0.74/0.45 inference(avatar_split_clause,[],[f1609,f2833])).
% 0.74/0.45 thf(f4478,plain,(
% 0.74/0.45 spl366_430 | ~spl366_233),
% 0.74/0.45 inference(avatar_split_clause,[],[f1059,f2833,f3778])).
% 0.74/0.45 thf(f5711,plain,(
% 0.74/0.45 ( ! [X0 : $i] : (($true != $true) | ($true != ((in @ X0 @ (setadjoin @ (setadjoin @ sK337 @ emptyset) @ (setadjoin @ (setadjoin @ sK337 @ (setadjoin @ sK338 @ emptyset)) @ emptyset))))) | ($true != ((in @ sK338 @ X0)))) ) | (spl366_142 | ~spl366_199)),
% 0.74/0.45 inference(superposition,[],[f2426,f2681])).
% 0.74/0.45 thf(f5725,plain,(
% 0.74/0.45 ( ! [X0 : $i] : (($true != ((in @ X0 @ (setadjoin @ (setadjoin @ sK337 @ emptyset) @ (setadjoin @ (setadjoin @ sK337 @ (setadjoin @ sK338 @ emptyset)) @ emptyset))))) | ($true != ((in @ sK338 @ X0)))) ) | (spl366_142 | ~spl366_199)),
% 0.74/0.45 inference(trivial_inequality_removal,[],[f5711])).
% 0.74/0.45 thf(f5801,plain,(
% 0.74/0.45 ($true != $true) | (((in @ sK338 @ (setadjoin @ sK337 @ (setadjoin @ sK338 @ emptyset)))) != $true) | (spl366_142 | ~spl366_199 | ~spl366_430)),
% 0.74/0.45 inference(superposition,[],[f5725,f3779])).
% 0.74/0.45 thf(f5827,plain,(
% 0.74/0.45 (((in @ sK338 @ (setadjoin @ sK337 @ (setadjoin @ sK338 @ emptyset)))) != $true) | (spl366_142 | ~spl366_199 | ~spl366_430)),
% 0.74/0.45 inference(trivial_inequality_removal,[],[f5801])).
% 0.74/0.45 thf(f5874,plain,(
% 0.74/0.45 $false | (spl366_142 | ~spl366_199 | ~spl366_430)),
% 0.74/0.45 inference(forward_subsumption_resolution,[],[f5827,f3779])).
% 0.74/0.45 thf(f5875,plain,(
% 0.74/0.45 spl366_142 | ~spl366_199 | ~spl366_430),
% 0.74/0.45 inference(avatar_contradiction_clause,[],[f5874])).
% 0.74/0.45 cnf(s85, plain, ~spl366_142, inference(sat_conversion,[],[f2427])).
% 0.74/0.45 cnf(s298, plain, spl366_237, inference(sat_conversion,[],[f3488])).
% 0.74/0.45 cnf(s329, plain, spl366_199 | ~spl366_237, inference(sat_conversion,[],[f3629])).
% 0.74/0.45 cnf(s380, plain, spl366_233, inference(sat_conversion,[],[f3802])).
% 0.74/0.45 cnf(s575, plain, ~spl366_233 | spl366_430, inference(sat_conversion,[],[f4478])).
% 0.74/0.45 cnf(s662, plain, spl366_142 | ~spl366_199 | ~spl366_430, inference(sat_conversion,[],[f5875])).
% 0.74/0.45 cnf(s692, plain, spl366_430, inference(rat,[],[s575,s380])).
% 0.74/0.45 cnf(s710, plain, spl366_199, inference(rat,[],[s329,s298])).
% 0.74/0.45 cnf(s712, plain, spl366_142, inference(rat,[],[s662,s692,s710])).
% 0.74/0.45 cnf(s791, plain, $false, inference(rat,[],[s85,s712])).
% 0.74/0.45 thf(f5876,plain,(
% 0.74/0.45 $false),
% 0.74/0.45 inference(avatar_sat_refutation,[],[s791])).
% 0.74/0.45 % SZS output end Proof for theBenchmark
% 0.74/0.45 % (120043)------------------------------
% 0.74/0.45 % (120043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.45 % (120043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.45 % (120043)CaDiCaL version: 2.1.3
% 0.74/0.45 % (120043)Termination reason: Refutation
% 0.74/0.45 % (120043)Time elapsed: 0.128 s
% 0.74/0.45 % (120043)Peak memory usage: 17 MB
% 0.74/0.45 % (120043)Instructions burned: 239 (million)
% 0.74/0.45 % (120035)Success in time 0.165 s
% 0.74/0.45 % Vampire exiting
%------------------------------------------------------------------------------