%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU651^1 : 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 : n004.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 08:30:31 AM UTC 2026
% Result : Theorem 1.98s 0.66s
% Output : Refutation 1.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU651^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.23 % Computer : n004.cluster.edu
% 0.13/0.23 % Model : x86_64 x86_64
% 0.13/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.23 % Memory : 8046.5625MB
% 0.13/0.23 % OS : Linux 6.8.0-71-generic
% 0.13/0.23 % CPULimit : 300
% 0.13/0.23 % WCLimit : 300
% 0.13/0.23 % DateTime : Tue Sep 29 14:02:37 UTC 2026
% 0.13/0.23 % CPUTime :
% 0.13/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.27 Running higher-order theorem proving
% 0.25/0.31 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
% 0.33/0.48 % (1334700)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.33/0.48 % (1334711)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.33/0.48 % (1334711)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
% 0.33/0.48 % (1334705)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=52178976:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.33/0.48 % (1334706)lrs+10_16_si=on:nwc=1.5:random_seed=3644690:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.33/0.48 % (1334708)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=662684966: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)
% 0.33/0.48 % (1334710)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3293559997:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.33/0.48 % (1334711)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=2672478036:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.33/0.48 % (1334706)Instruction limit reached!
% 0.33/0.48 % (1334706)------------------------------
% 0.33/0.48 % (1334706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.48 % (1334706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.48 % (1334706)CaDiCaL version: 2.1.3
% 0.33/0.48 % (1334706)Termination reason: Instruction limit
% 0.33/0.48 % (1334706)Termination phase: shuffling
% 0.33/0.48 % (1334706)Time elapsed: 0.008 s
% 0.33/0.48 % (1334706)Peak memory usage: 10 MB
% 0.33/0.48 % (1334706)Instructions burned: 18 (million)
% 0.33/0.48 % (1334707)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=81945840:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.33/0.48 % (1334707)Instruction limit reached!
% 0.33/0.48 % (1334707)------------------------------
% 0.33/0.48 % (1334707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.48 % (1334707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.48 % (1334707)CaDiCaL version: 2.1.3
% 0.33/0.48 % (1334707)Termination reason: Instruction limit
% 0.33/0.48 % (1334707)Termination phase: shuffling
% 0.33/0.48 % (1334707)Time elapsed: 0.004 s
% 0.33/0.48 % (1334707)Peak memory usage: 10 MB
% 0.33/0.48 % (1334707)Instructions burned: 4 (million)
% 0.33/0.48 % (1334709)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1395384789:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.33/0.48 % (1334709)Instruction limit reached!
% 0.33/0.48 % (1334709)------------------------------
% 0.33/0.48 % (1334709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.48 % (1334709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.48 % (1334709)CaDiCaL version: 2.1.3
% 0.33/0.48 % (1334709)Termination reason: Instruction limit
% 0.33/0.48 % (1334709)Termination phase: Preprocessing 3
% 0.33/0.48 % (1334709)Time elapsed: 0.013 s
% 0.33/0.48 % (1334709)Peak memory usage: 11 MB
% 0.33/0.48 % (1334709)Instructions burned: 25 (million)
% 0.33/0.48 % (1334710)Instruction limit reached!
% 0.33/0.48 % (1334710)------------------------------
% 0.33/0.48 % (1334710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.48 % (1334710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.48 % (1334710)CaDiCaL version: 2.1.3
% 0.33/0.48 % (1334710)Termination reason: Instruction limit
% 0.33/0.48 % (1334710)Termination phase: Property scanning
% 0.33/0.48 % (1334710)Time elapsed: 0.035 s
% 0.33/0.48 % (1334710)Peak memory usage: 12 MB
% 0.33/0.48 % (1334710)Instructions burned: 75 (million)
% 0.33/0.48 % (1334705)Instruction limit reached!
% 0.33/0.48 % (1334705)------------------------------
% 0.33/0.48 % (1334705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.48 % (1334705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.48 % (1334705)CaDiCaL version: 2.1.3
% 1.15/0.53 % (1334705)Termination reason: Instruction limit
% 1.15/0.53 % (1334705)Termination phase: Property scanning
% 1.15/0.53 % (1334705)Time elapsed: 0.039 s
% 1.15/0.53 % (1334705)Peak memory usage: 12 MB
% 1.15/0.53 % (1334705)Instructions burned: 88 (million)
% 1.15/0.53 % (1334717)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1673938524:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.15/0.53 % (1334717)Instruction limit reached!
% 1.15/0.53 % (1334717)------------------------------
% 1.15/0.53 % (1334717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.53 % (1334717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.53 % (1334717)CaDiCaL version: 2.1.3
% 1.15/0.53 % (1334717)Termination reason: Instruction limit
% 1.15/0.53 % (1334717)Termination phase: shuffling
% 1.15/0.53 % (1334717)Time elapsed: 0.001 s
% 1.15/0.53 % (1334717)Peak memory usage: 10 MB
% 1.15/0.53 % (1334717)Instructions burned: 2 (million)
% 1.15/0.53 % (1334722)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.15/0.53 % (1334719)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2373302537:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.15/0.53 % (1334722)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=87348336:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.15/0.53 % (1334719)Instruction limit reached!
% 1.15/0.53 % (1334719)------------------------------
% 1.15/0.53 % (1334719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.53 % (1334719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.53 % (1334719)CaDiCaL version: 2.1.3
% 1.15/0.53 % (1334719)Termination reason: Instruction limit
% 1.15/0.53 % (1334719)Termination phase: shuffling
% 1.15/0.53 % (1334719)Time elapsed: 0.003 s
% 1.15/0.53 % (1334719)Peak memory usage: 10 MB
% 1.15/0.53 % (1334719)Instructions burned: 5 (million)
% 1.15/0.53 % (1334722)Instruction limit reached!
% 1.15/0.53 % (1334722)------------------------------
% 1.15/0.53 % (1334722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.53 % (1334722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.53 % (1334722)CaDiCaL version: 2.1.3
% 1.15/0.53 % (1334722)Termination reason: Instruction limit
% 1.15/0.53 % (1334722)Termination phase: shuffling
% 1.15/0.53 % (1334722)Time elapsed: 0.003 s
% 1.15/0.53 % (1334722)Peak memory usage: 10 MB
% 1.15/0.53 % (1334722)Instructions burned: 7 (million)
% 1.15/0.53 % (1334726)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=4067760607:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.15/0.53 % (1334723)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=82510714:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.15/0.53 % (1334724)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.15/0.53 % (1334724)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.15/0.53 % (1334730)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.15/0.53 % (1334711)Instruction limit reached!
% 1.15/0.53 % (1334711)------------------------------
% 1.15/0.53 % (1334711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.53 % (1334711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.53 % (1334711)CaDiCaL version: 2.1.3
% 1.15/0.53 % (1334711)Termination reason: Instruction limit
% 1.15/0.53 % (1334711)Termination phase: Saturation
% 1.15/0.53 % (1334711)Time elapsed: 0.066 s
% 1.15/0.53 % (1334711)Peak memory usage: 13 MB
% 1.15/0.53 % (1334711)Instructions burned: 157 (million)
% 1.15/0.53 % (1334729)lrs+10_1_si=on:cs=on:random_seed=448002757:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.15/0.53 % (1334724)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1581224983:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.15/0.58 % (1334730)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=4095974446:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.15/0.58 % (1334730)Instruction limit reached!
% 1.15/0.58 % (1334730)------------------------------
% 1.15/0.58 % (1334730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.58 % (1334730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.58 % (1334730)CaDiCaL version: 2.1.3
% 1.15/0.58 % (1334730)Termination reason: Instruction limit
% 1.15/0.58 % (1334730)Termination phase: shuffling
% 1.15/0.58 % (1334730)Time elapsed: 0.003 s
% 1.15/0.58 % (1334729)Instruction limit reached!
% 1.15/0.58 % (1334729)------------------------------
% 1.15/0.58 % (1334729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.58 % (1334730)Peak memory usage: 10 MB
% 1.15/0.58 % (1334730)Instructions burned: 5 (million)
% 1.15/0.58 % (1334729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.58 % (1334729)CaDiCaL version: 2.1.3
% 1.15/0.58 % (1334729)Termination reason: Instruction limit
% 1.15/0.58 % (1334729)Termination phase: shuffling
% 1.15/0.58 % (1334729)Time elapsed: 0.004 s
% 1.15/0.58 % (1334729)Peak memory usage: 10 MB
% 1.15/0.58 % (1334729)Instructions burned: 8 (million)
% 1.15/0.58 % (1334723)Instruction limit reached!
% 1.15/0.58 % (1334723)------------------------------
% 1.15/0.58 % (1334723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.58 % (1334723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.58 % (1334723)CaDiCaL version: 2.1.3
% 1.15/0.58 % (1334723)Termination reason: Instruction limit
% 1.15/0.58 % (1334723)Termination phase: shuffling
% 1.15/0.58 % (1334723)Time elapsed: 0.014 s
% 1.15/0.58 % (1334723)Peak memory usage: 10 MB
% 1.15/0.58 % (1334723)Instructions burned: 16 (million)
% 1.15/0.58 % (1334733)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=455864492:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.15/0.58 % (1334737)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1411660104:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.15/0.58 % (1334724)Instruction limit reached!
% 1.15/0.58 % (1334724)------------------------------
% 1.15/0.58 % (1334724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.58 % (1334724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.58 % (1334724)CaDiCaL version: 2.1.3
% 1.15/0.58 % (1334724)Termination reason: Instruction limit
% 1.15/0.58 % (1334724)Termination phase: Property scanning
% 1.15/0.58 % (1334724)Time elapsed: 0.024 s
% 1.15/0.58 % (1334724)Peak memory usage: 10 MB
% 1.15/0.58 % (1334724)Instructions burned: 29 (million)
% 1.15/0.58 % (1334726)Instruction limit reached!
% 1.15/0.58 % (1334726)------------------------------
% 1.15/0.58 % (1334726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.58 % (1334726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.58 % (1334726)CaDiCaL version: 2.1.3
% 1.15/0.58 % (1334726)Termination reason: Instruction limit
% 1.15/0.58 % (1334726)Termination phase: Saturation
% 1.15/0.58 % (1334726)Time elapsed: 0.036 s
% 1.15/0.58 % (1334726)Peak memory usage: 12 MB
% 1.15/0.58 % (1334726)Instructions burned: 87 (million)
% 1.15/0.58 % (1334739)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2082969145:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.15/0.58 % (1334733)Instruction limit reached!
% 1.15/0.58 % (1334733)------------------------------
% 1.15/0.58 % (1334733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.58 % (1334733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.58 % (1334733)CaDiCaL version: 2.1.3
% 1.15/0.58 % (1334733)Termination reason: Instruction limit
% 1.15/0.58 % (1334733)Termination phase: Preprocessing 3
% 1.15/0.58 % (1334733)Time elapsed: 0.026 s
% 1.15/0.58 % (1334733)Peak memory usage: 11 MB
% 1.15/0.58 % (1334733)Instructions burned: 38 (million)
% 1.15/0.58 % (1334738)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1297064550:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.98/0.66 % (1334739)Instruction limit reached!
% 1.98/0.66 % (1334739)------------------------------
% 1.98/0.66 % (1334739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.66 % (1334739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.66 % (1334739)CaDiCaL version: 2.1.3
% 1.98/0.66 % (1334739)Termination reason: Instruction limit
% 1.98/0.66 % (1334739)Termination phase: shuffling
% 1.98/0.66 % (1334739)Time elapsed: 0.008 s
% 1.98/0.66 % (1334739)Peak memory usage: 10 MB
% 1.98/0.66 % (1334739)Instructions burned: 17 (million)
% 1.98/0.66 % (1334743)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=775789643:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.98/0.66 % (1334743)Instruction limit reached!
% 1.98/0.66 % (1334743)------------------------------
% 1.98/0.66 % (1334743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.66 % (1334743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.66 % (1334743)CaDiCaL version: 2.1.3
% 1.98/0.66 % (1334743)Termination reason: Instruction limit
% 1.98/0.66 % (1334743)Termination phase: shuffling
% 1.98/0.66 % (1334743)Time elapsed: 0.007 s
% 1.98/0.66 % (1334743)Peak memory usage: 10 MB
% 1.98/0.66 % (1334743)Instructions burned: 16 (million)
% 1.98/0.66 % (1334742)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1899240705:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.98/0.66 % (1334738)Instruction limit reached!
% 1.98/0.66 % (1334738)------------------------------
% 1.98/0.66 % (1334738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.66 % (1334738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.66 % (1334738)CaDiCaL version: 2.1.3
% 1.98/0.66 % (1334738)Termination reason: Instruction limit
% 1.98/0.66 % (1334738)Termination phase: Preprocessing 1
% 1.98/0.66 % (1334738)Time elapsed: 0.016 s
% 1.98/0.66 % (1334738)Peak memory usage: 10 MB
% 1.98/0.66 % (1334738)Instructions burned: 27 (million)
% 1.98/0.66 % (1334745)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=192755016:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.98/0.66 % (1334747)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3989441917:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.98/0.66 % (1334749)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2339711862:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.98/0.66 % (1334745)Instruction limit reached!
% 1.98/0.66 % (1334745)------------------------------
% 1.98/0.66 % (1334745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.66 % (1334745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.66 % (1334745)CaDiCaL version: 2.1.3
% 1.98/0.66 % (1334745)Termination reason: Instruction limit
% 1.98/0.66 % (1334745)Termination phase: shuffling
% 1.98/0.66 % (1334745)Time elapsed: 0.003 s
% 1.98/0.66 % (1334745)Peak memory usage: 10 MB
% 1.98/0.66 % (1334745)Instructions burned: 3 (million)
% 1.98/0.66 % (1334751)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=788961005:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.98/0.66 % (1334749)Instruction limit reached!
% 1.98/0.66 % (1334749)------------------------------
% 1.98/0.66 % (1334749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.66 % (1334749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.66 % (1334749)CaDiCaL version: 2.1.3
% 1.98/0.66 % (1334749)Termination reason: Instruction limit
% 1.98/0.66 % (1334749)Termination phase: Property scanning
% 1.98/0.66 % (1334749)Time elapsed: 0.011 s
% 1.98/0.66 % (1334749)Peak memory usage: 10 MB
% 1.98/0.66 % (1334749)Instructions burned: 23 (million)
% 1.98/0.66 % (1334747)Instruction limit reached!
% 1.98/0.66 % (1334747)------------------------------
% 1.98/0.66 % (1334747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.66 % (1334747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.66 % (1334747)CaDiCaL version: 2.1.3
% 1.98/0.66 % (1334747)Termination reason: Instruction limit
% 1.98/0.66 % (1334747)Termination phase: Property scanning
% 1.98/0.66 % (1334747)Time elapsed: 0.019 s
% 1.98/0.66 % (1334747)Peak memory usage: 10 MB
% 1.98/0.66 % (1334747)Instructions burned: 27 (million)
% 1.98/0.66 % (1334757)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.98/0.66 % (1334757)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=353992853:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 1.98/0.66 % (1334755)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.98/0.66 % (1334755)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.98/0.66 % (1334755)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=3915057402:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.98/0.66 % (1334757)Instruction limit reached!
% 1.98/0.66 % (1334757)------------------------------
% 1.98/0.66 % (1334757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.66 % (1334757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.66 % (1334757)CaDiCaL version: 2.1.3
% 1.98/0.66 % (1334757)Termination reason: Instruction limit
% 1.98/0.66 % (1334757)Termination phase: shuffling
% 1.98/0.66 % (1334757)Time elapsed: 0.005 s
% 1.98/0.66 % (1334757)Peak memory usage: 10 MB
% 1.98/0.66 % (1334757)Instructions burned: 10 (million)
% 1.98/0.66 % (1334751)Instruction limit reached!
% 1.98/0.66 % (1334751)------------------------------
% 1.98/0.66 % (1334751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.66 % (1334751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.66 % (1334751)CaDiCaL version: 2.1.3
% 1.98/0.66 % (1334751)Termination reason: Instruction limit
% 1.98/0.66 % (1334751)Termination phase: Property scanning
% 1.98/0.66 % (1334751)Time elapsed: 0.028 s
% 1.98/0.66 % (1334751)Peak memory usage: 12 MB
% 1.98/0.66 % (1334751)Instructions burned: 60 (million)
% 1.98/0.66 % (1334755)Instruction limit reached!
% 1.98/0.66 % (1334755)------------------------------
% 1.98/0.66 % (1334755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.66 % (1334755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.66 % (1334755)CaDiCaL version: 2.1.3
% 1.98/0.66 % (1334755)Termination reason: Instruction limit
% 1.98/0.66 % (1334755)Termination phase: shuffling
% 1.98/0.66 % (1334755)Time elapsed: 0.007 s
% 1.98/0.66 % (1334755)Peak memory usage: 10 MB
% 1.98/0.66 % (1334755)Instructions burned: 15 (million)
% 1.98/0.66 % (1334761)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1593923283:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.98/0.66 % (1334761)Instruction limit reached!
% 1.98/0.66 % (1334761)------------------------------
% 1.98/0.66 % (1334761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.66 % (1334761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.66 % (1334761)CaDiCaL version: 2.1.3
% 1.98/0.66 % (1334761)Termination reason: Instruction limit
% 1.98/0.66 % (1334761)Termination phase: shuffling
% 1.98/0.66 % (1334761)Time elapsed: 0.004 s
% 1.98/0.66 % (1334761)Peak memory usage: 10 MB
% 1.98/0.66 % (1334761)Instructions burned: 7 (million)
% 1.98/0.66 % (1334763)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=792087840:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.98/0.66 % (1334758)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=558591311:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.98/0.66 % (1334763)Instruction limit reached!
% 1.98/0.66 % (1334763)------------------------------
% 1.98/0.66 % (1334763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.66 % (1334763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.66 % (1334763)CaDiCaL version: 2.1.3
% 1.98/0.66 % (1334763)Termination reason: Instruction limit
% 1.98/0.66 % (1334763)Termination phase: Property scanning
% 1.98/0.66 % (1334763)Time elapsed: 0.010 s
% 1.98/0.66 % (1334763)Peak memory usage: 10 MB
% 1.98/0.66 % (1334763)Instructions burned: 22 (million)
% 1.98/0.66 % (1334737)Instruction limit reached!
% 1.98/0.66 % (1334737)------------------------------
% 1.98/0.66 % (1334737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.66 % (1334737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.66 % (1334737)CaDiCaL version: 2.1.3
% 1.98/0.66 % (1334737)Termination reason: Instruction limit
% 1.98/0.66 % (1334737)Termination phase: Saturation
% 1.98/0.66 % (1334737)Time elapsed: 0.130 s
% 1.98/0.66 % (1334737)Peak memory usage: 14 MB
% 1.98/0.66 % (1334737)Instructions burned: 249 (million)
% 1.98/0.66 % (1334762)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1914813621:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.98/0.66 % (1334765)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2722050359:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.98/0.66 % (1334762)Instruction limit reached!
% 1.98/0.66 % (1334762)------------------------------
% 1.98/0.66 % (1334762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.66 % (1334762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.66 % (1334762)CaDiCaL version: 2.1.3
% 1.98/0.66 % (1334762)Termination reason: Instruction limit
% 1.98/0.66 % (1334762)Termination phase: Property scanning
% 1.98/0.66 % (1334762)Time elapsed: 0.012 s
% 1.98/0.66 % (1334762)Peak memory usage: 10 MB
% 1.98/0.66 % (1334762)Instructions burned: 25 (million)
% 1.98/0.66 % (1334758)Instruction limit reached!
% 1.98/0.66 % (1334758)------------------------------
% 1.98/0.66 % (1334758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.66 % (1334758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.66 % (1334758)CaDiCaL version: 2.1.3
% 1.98/0.66 % (1334758)Termination reason: Instruction limit
% 1.98/0.66 % (1334758)Termination phase: Property scanning
% 1.98/0.66 % (1334758)Time elapsed: 0.027 s
% 1.98/0.66 % (1334758)Peak memory usage: 10 MB
% 1.98/0.66 % (1334758)Instructions burned: 32 (million)
% 1.98/0.66 % (1334768)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=773020089:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.98/0.66 % (1334770)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2016087064:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.98/0.66 % (1334773)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.98/0.66 % (1334772)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1046914839:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.98/0.66 % (1334773)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2234604854:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.98/0.66 % (1334708) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1334700-1334708"...
% 1.98/0.66 % (1334773)Instruction limit reached!
% 1.98/0.66 % (1334773)------------------------------
% 1.98/0.66 % (1334773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.66 % (1334773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.66 % (1334773)CaDiCaL version: 2.1.3
% 1.98/0.66 % (1334773)Termination reason: Instruction limit
% 1.98/0.66 % (1334773)Termination phase: shuffling
% 1.98/0.66 % (1334773)Time elapsed: 0.007 s
% 1.98/0.66 % (1334773)Peak memory usage: 10 MB
% 1.98/0.66 % (1334773)Instructions burned: 7 (million)
% 1.98/0.66 % (1334708)...printing done.
% 1.98/0.66 % (1334708)Refutation found. Thanks to Tanya!
% 1.98/0.66 % SZS status Theorem for theBenchmark
% 1.98/0.66 % SZS output start Proof for theBenchmark
% 1.98/0.66 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 1.98/0.66 thf(func_def_0, type, in: ($i > $i > $o)).
% 1.98/0.66 thf(func_def_1, type, exu: (($i > $o) > $o)).
% 1.98/0.66 thf(func_def_3, type, setextAx: $o).
% 1.98/0.66 thf(func_def_5, type, emptysetAx: $o).
% 1.98/0.66 thf(func_def_6, type, setadjoin: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_7, type, setadjoinAx: $o).
% 1.98/0.66 thf(func_def_8, type, powerset: ($i > $i)).
% 1.98/0.66 thf(func_def_9, type, powersetAx: $o).
% 1.98/0.66 thf(func_def_10, type, setunion: ($i > $i)).
% 1.98/0.66 thf(func_def_11, type, setunionAx: $o).
% 1.98/0.66 thf(func_def_13, type, omega0Ax: $o).
% 1.98/0.66 thf(func_def_14, type, omegaSAx: $o).
% 1.98/0.66 thf(func_def_15, type, omegaIndAx: $o).
% 1.98/0.66 thf(func_def_16, type, replAx: $o).
% 1.98/0.66 thf(func_def_17, type, foundationAx: $o).
% 1.98/0.66 thf(func_def_18, type, wellorderingAx: $o).
% 1.98/0.66 thf(func_def_19, type, descr: (($i > $o) > $i)).
% 1.98/0.66 thf(func_def_20, type, descrp: $o).
% 1.98/0.66 thf(func_def_21, type, dsetconstr: ($i > ($i > $o) > $i)).
% 1.98/0.66 thf(func_def_22, type, dsetconstrI: $o).
% 1.98/0.66 thf(func_def_23, type, dsetconstrEL: $o).
% 1.98/0.66 thf(func_def_24, type, dsetconstrER: $o).
% 1.98/0.66 thf(func_def_25, type, exuE1: $o).
% 1.98/0.66 thf(func_def_26, type, prop2set: ($o > $i)).
% 1.98/0.66 thf(func_def_27, type, prop2setE: $o).
% 1.98/0.66 thf(func_def_28, type, emptysetE: $o).
% 1.98/0.66 thf(func_def_29, type, emptysetimpfalse: $o).
% 1.98/0.66 thf(func_def_30, type, notinemptyset: $o).
% 1.98/0.66 thf(func_def_31, type, exuE3e: $o).
% 1.98/0.66 thf(func_def_32, type, setext: $o).
% 1.98/0.66 thf(func_def_33, type, emptyI: $o).
% 1.98/0.66 thf(func_def_34, type, noeltsimpempty: $o).
% 1.98/0.66 thf(func_def_35, type, setbeta: $o).
% 1.98/0.66 thf(func_def_36, type, nonempty: ($i > $o)).
% 1.98/0.66 thf(func_def_37, type, nonemptyE1: $o).
% 1.98/0.66 thf(func_def_38, type, nonemptyI: $o).
% 1.98/0.66 thf(func_def_39, type, nonemptyI1: $o).
% 1.98/0.66 thf(func_def_40, type, setadjoinIL: $o).
% 1.98/0.66 thf(func_def_41, type, emptyinunitempty: $o).
% 1.98/0.66 thf(func_def_42, type, setadjoinIR: $o).
% 1.98/0.66 thf(func_def_43, type, setadjoinE: $o).
% 1.98/0.66 thf(func_def_44, type, setadjoinOr: $o).
% 1.98/0.66 thf(func_def_45, type, setoftrueEq: $o).
% 1.98/0.66 thf(func_def_46, type, powersetI: $o).
% 1.98/0.66 thf(func_def_47, type, emptyinPowerset: $o).
% 1.98/0.66 thf(func_def_48, type, emptyInPowerset: $o).
% 1.98/0.66 thf(func_def_49, type, powersetE: $o).
% 1.98/0.66 thf(func_def_50, type, setunionI: $o).
% 1.98/0.66 thf(func_def_51, type, setunionE: $o).
% 1.98/0.66 thf(func_def_52, type, subPowSU: $o).
% 1.98/0.66 thf(func_def_53, type, exuE2: $o).
% 1.98/0.66 thf(func_def_54, type, nonemptyImpWitness: $o).
% 1.98/0.66 thf(func_def_55, type, uniqinunit: $o).
% 1.98/0.66 thf(func_def_56, type, notinsingleton: $o).
% 1.98/0.66 thf(func_def_57, type, eqinunit: $o).
% 1.98/0.66 thf(func_def_58, type, singletonsswitch: $o).
% 1.98/0.66 thf(func_def_59, type, upairsetE: $o).
% 1.98/0.66 thf(func_def_60, type, upairsetIL: $o).
% 1.98/0.66 thf(func_def_61, type, upairsetIR: $o).
% 1.98/0.66 thf(func_def_62, type, emptyE1: $o).
% 1.98/0.66 thf(func_def_63, type, vacuousDall: $o).
% 1.98/0.66 thf(func_def_64, type, quantDeMorgan1: $o).
% 1.98/0.66 thf(func_def_65, type, quantDeMorgan2: $o).
% 1.98/0.66 thf(func_def_66, type, quantDeMorgan3: $o).
% 1.98/0.66 thf(func_def_67, type, quantDeMorgan4: $o).
% 1.98/0.66 thf(func_def_68, type, prop2setI: $o).
% 1.98/0.66 thf(func_def_69, type, set2prop: ($i > $o)).
% 1.98/0.66 thf(func_def_70, type, prop2set2propI: $o).
% 1.98/0.66 thf(func_def_71, type, notdexE: $o).
% 1.98/0.66 thf(func_def_72, type, notdallE: $o).
% 1.98/0.66 thf(func_def_73, type, exuI1: $o).
% 1.98/0.66 thf(func_def_74, type, exuI3: $o).
% 1.98/0.66 thf(func_def_75, type, exuI2: $o).
% 1.98/0.66 thf(func_def_76, type, inCongP: $o).
% 1.98/0.66 thf(func_def_77, type, in__Cong: $o).
% 1.98/0.66 thf(func_def_78, type, exuE3u: $o).
% 1.98/0.66 thf(func_def_79, type, exu__Cong: $o).
% 1.98/0.66 thf(func_def_80, type, emptyset__Cong: $o).
% 1.98/0.66 thf(func_def_81, type, setadjoin__Cong: $o).
% 1.98/0.66 thf(func_def_82, type, powerset__Cong: $o).
% 1.98/0.66 thf(func_def_83, type, setunion__Cong: $o).
% 1.98/0.66 thf(func_def_84, type, omega__Cong: $o).
% 1.98/0.66 thf(func_def_85, type, exuEu: $o).
% 1.98/0.66 thf(func_def_86, type, descr__Cong: $o).
% 1.98/0.66 thf(func_def_87, type, dsetconstr__Cong: $o).
% 1.98/0.66 thf(func_def_88, type, subset: ($i > $i > $o)).
% 1.98/0.66 thf(func_def_89, type, disjoint: ($i > $i > $o)).
% 1.98/0.66 thf(func_def_90, type, setsmeet: ($i > $i > $o)).
% 1.98/0.66 thf(func_def_91, type, subsetI1: $o).
% 1.98/0.66 thf(func_def_92, type, eqimpsubset2: $o).
% 1.98/0.66 thf(func_def_93, type, eqimpsubset1: $o).
% 1.98/0.66 thf(func_def_94, type, subsetI2: $o).
% 1.98/0.66 thf(func_def_95, type, emptysetsubset: $o).
% 1.98/0.66 thf(func_def_96, type, subsetE: $o).
% 1.98/0.66 thf(func_def_97, type, subsetE2: $o).
% 1.98/0.66 thf(func_def_98, type, notsubsetI: $o).
% 1.98/0.66 thf(func_def_99, type, notequalI1: $o).
% 1.98/0.66 thf(func_def_100, type, notequalI2: $o).
% 1.98/0.66 thf(func_def_101, type, subsetRefl: $o).
% 1.98/0.66 thf(func_def_102, type, subsetTrans: $o).
% 1.98/0.66 thf(func_def_103, type, setadjoinSub: $o).
% 1.98/0.66 thf(func_def_104, type, setadjoinSub2: $o).
% 1.98/0.66 thf(func_def_105, type, subset2powerset: $o).
% 1.98/0.66 thf(func_def_106, type, setextsub: $o).
% 1.98/0.66 thf(func_def_107, type, subsetemptysetimpeq: $o).
% 1.98/0.66 thf(func_def_108, type, powersetI1: $o).
% 1.98/0.66 thf(func_def_109, type, powersetE1: $o).
% 1.98/0.66 thf(func_def_110, type, inPowerset: $o).
% 1.98/0.66 thf(func_def_111, type, powersetsubset: $o).
% 1.98/0.66 thf(func_def_112, type, sepInPowerset: $o).
% 1.98/0.66 thf(func_def_113, type, sepSubset: $o).
% 1.98/0.66 thf(func_def_114, type, binunion: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_115, type, binunionIL: $o).
% 1.98/0.66 thf(func_def_116, type, upairset2IR: $o).
% 1.98/0.66 thf(func_def_117, type, binunionIR: $o).
% 1.98/0.66 thf(func_def_118, type, binunionEcases: $o).
% 1.98/0.66 thf(func_def_119, type, binunionE: $o).
% 1.98/0.66 thf(func_def_120, type, binunionLsub: $o).
% 1.98/0.66 thf(func_def_121, type, binunionRsub: $o).
% 1.98/0.66 thf(func_def_122, type, binintersect: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_123, type, binintersectI: $o).
% 1.98/0.66 thf(func_def_124, type, binintersectSubset5: $o).
% 1.98/0.66 thf(func_def_125, type, binintersectEL: $o).
% 1.98/0.66 thf(func_def_126, type, binintersectLsub: $o).
% 1.98/0.66 thf(func_def_127, type, binintersectSubset2: $o).
% 1.98/0.66 thf(func_def_128, type, binintersectSubset3: $o).
% 1.98/0.66 thf(func_def_129, type, binintersectER: $o).
% 1.98/0.66 thf(func_def_130, type, disjointsetsI1: $o).
% 1.98/0.66 thf(func_def_131, type, binintersectRsub: $o).
% 1.98/0.66 thf(func_def_132, type, binintersectSubset4: $o).
% 1.98/0.66 thf(func_def_133, type, binintersectSubset1: $o).
% 1.98/0.66 thf(func_def_134, type, bs114d: $o).
% 1.98/0.66 thf(func_def_135, type, regular: ($i > $o)).
% 1.98/0.66 thf(func_def_136, type, setminus: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_137, type, setminusI: $o).
% 1.98/0.66 thf(func_def_138, type, setminusEL: $o).
% 1.98/0.66 thf(func_def_139, type, setminusER: $o).
% 1.98/0.66 thf(func_def_140, type, setminusSubset2: $o).
% 1.98/0.66 thf(func_def_141, type, setminusERneg: $o).
% 1.98/0.66 thf(func_def_142, type, setminusELneg: $o).
% 1.98/0.66 thf(func_def_143, type, setminusILneg: $o).
% 1.98/0.66 thf(func_def_144, type, setminusIRneg: $o).
% 1.98/0.66 thf(func_def_145, type, setminusLsub: $o).
% 1.98/0.66 thf(func_def_146, type, setminusSubset1: $o).
% 1.98/0.66 thf(func_def_147, type, symdiff: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_148, type, symdiffE: $o).
% 1.98/0.66 thf(func_def_149, type, symdiffI1: $o).
% 1.98/0.66 thf(func_def_150, type, symdiffI2: $o).
% 1.98/0.66 thf(func_def_151, type, symdiffIneg1: $o).
% 1.98/0.66 thf(func_def_152, type, symdiffIneg2: $o).
% 1.98/0.66 thf(func_def_153, type, iskpair: ($i > $o)).
% 1.98/0.66 thf(func_def_154, type, secondinupair: $o).
% 1.98/0.66 thf(func_def_155, type, setukpairIL: $o).
% 1.98/0.66 thf(func_def_156, type, setukpairIR: $o).
% 1.98/0.66 thf(func_def_157, type, kpairiskpair: $o).
% 1.98/0.66 thf(func_def_158, type, kpair: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_159, type, kpairp: $o).
% 1.98/0.66 thf(func_def_160, type, cartprod: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_161, type, singletonsubset: $o).
% 1.98/0.66 thf(func_def_162, type, singletoninpowerset: $o).
% 1.98/0.66 thf(func_def_163, type, singletoninpowunion: $o).
% 1.98/0.66 thf(func_def_164, type, upairset2E: $o).
% 1.98/0.66 thf(func_def_165, type, upairsubunion: $o).
% 1.98/0.66 thf(func_def_166, type, upairinpowunion: $o).
% 1.98/0.66 thf(func_def_167, type, ubforcartprodlem1: $o).
% 1.98/0.66 thf(func_def_168, type, ubforcartprodlem2: $o).
% 1.98/0.66 thf(func_def_169, type, ubforcartprodlem3: $o).
% 1.98/0.66 thf(func_def_170, type, cartprodpairin: $o).
% 1.98/0.66 thf(func_def_171, type, cartprodmempair1: $o).
% 1.98/0.66 thf(func_def_172, type, cartprodmempair: $o).
% 1.98/0.66 thf(func_def_173, type, setunionE2: $o).
% 1.98/0.66 thf(func_def_174, type, setunionsingleton1: $o).
% 1.98/0.66 thf(func_def_175, type, setunionsingleton2: $o).
% 1.98/0.66 thf(func_def_176, type, setunionsingleton: $o).
% 1.98/0.66 thf(func_def_177, type, singleton: ($i > $o)).
% 1.98/0.66 thf(func_def_178, type, singletonprop: $o).
% 1.98/0.66 thf(func_def_179, type, ex1: ($i > ($i > $o) > $o)).
% 1.98/0.66 thf(func_def_180, type, ex1E1: $o).
% 1.98/0.66 thf(func_def_181, type, ex1I: $o).
% 1.98/0.66 thf(func_def_182, type, ex1I2: $o).
% 1.98/0.66 thf(func_def_183, type, singletonsuniq: $o).
% 1.98/0.66 thf(func_def_184, type, atmost1p: ($i > $o)).
% 1.98/0.66 thf(func_def_185, type, atleast2p: ($i > $o)).
% 1.98/0.66 thf(func_def_186, type, atmost2p: ($i > $o)).
% 1.98/0.66 thf(func_def_187, type, upairsetp: ($i > $o)).
% 1.98/0.66 thf(func_def_188, type, setukpairinjL1: $o).
% 1.98/0.66 thf(func_def_189, type, kfstsingleton: $o).
% 1.98/0.66 thf(func_def_190, type, theprop: $o).
% 1.98/0.66 thf(func_def_191, type, kfst: ($i > $i)).
% 1.98/0.66 thf(func_def_192, type, kfstpairEq: $o).
% 1.98/0.66 thf(func_def_193, type, cartprodfstin: $o).
% 1.98/0.66 thf(func_def_194, type, setukpairinjL2: $o).
% 1.98/0.66 thf(func_def_195, type, setukpairinjL: $o).
% 1.98/0.66 thf(func_def_196, type, setukpairinjR11: $o).
% 1.98/0.66 thf(func_def_197, type, setukpairinjR12: $o).
% 1.98/0.66 thf(func_def_200, type, db0: !>[X0: $tType]:(X0)).
% 1.98/0.66 thf(func_def_201, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.98/0.66 thf(func_def_202, type, db1: !>[X0: $tType]:(X0)).
% 1.98/0.66 thf(func_def_203, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.98/0.66 thf(func_def_204, type, vAND: ($o > $o > $o)).
% 1.98/0.66 thf(func_def_205, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.98/0.66 thf(func_def_206, type, vNOT: ($o > $o)).
% 1.98/0.66 thf(func_def_207, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.98/0.66 thf(func_def_208, type, vIMP: ($o > $o > $o)).
% 1.98/0.66 thf(func_def_209, type, db2: !>[X0: $tType]:(X0)).
% 1.98/0.66 thf(func_def_210, type, sP0: ($i > $i > $o)).
% 1.98/0.66 thf(func_def_211, type, sP1: ($i > $o)).
% 1.98/0.66 thf(func_def_212, type, sP2: $o).
% 1.98/0.66 thf(func_def_222, type, sK12: ($i > ($i > $o) > $i)).
% 1.98/0.66 thf(func_def_223, type, sK13: ($i > $o)).
% 1.98/0.66 thf(func_def_237, type, sK27: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_238, type, sK28: ($i > ($i > $o) > $i)).
% 1.98/0.66 thf(func_def_239, type, sK29: ($i > $o)).
% 1.98/0.66 thf(func_def_251, type, sK41: ($i > $o)).
% 1.98/0.66 thf(func_def_252, type, sK42: ($i > $o)).
% 1.98/0.66 thf(func_def_253, type, sK43: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 1.98/0.66 thf(func_def_254, type, sK44: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 1.98/0.66 thf(func_def_269, type, sK59: ($i > $i)).
% 1.98/0.66 thf(func_def_279, type, sK69: $o).
% 1.98/0.66 thf(func_def_282, type, sK72: ($i > $o)).
% 1.98/0.66 thf(func_def_285, type, sK75: $o).
% 1.98/0.66 thf(func_def_299, type, sK89: ($i > $o)).
% 1.98/0.66 thf(func_def_301, type, sK91: ($i > $o)).
% 1.98/0.66 thf(func_def_307, type, sK97: $o).
% 1.98/0.66 thf(func_def_317, type, sK107: ($i > $o)).
% 1.98/0.66 thf(func_def_318, type, sK108: ($i > $i)).
% 1.98/0.66 thf(func_def_319, type, sK109: (($i > $o) > $i)).
% 1.98/0.66 thf(func_def_326, type, sK116: ($i > $o)).
% 1.98/0.66 thf(func_def_333, type, sK123: ($i > $o)).
% 1.98/0.66 thf(func_def_335, type, sK125: (($i > $o) > $i > $i)).
% 1.98/0.66 thf(func_def_336, type, sK126: ($i > $o)).
% 1.98/0.66 thf(func_def_341, type, sK131: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_344, type, sK134: ($i > $o)).
% 1.98/0.66 thf(func_def_349, type, sK139: ($o > $i > $i > $i)).
% 1.98/0.66 thf(func_def_352, type, sK142: $o).
% 1.98/0.66 thf(func_def_361, type, sK151: ($i > $i)).
% 1.98/0.66 thf(func_def_362, type, sK152: ($i > $i)).
% 1.98/0.66 thf(func_def_363, type, sK153: ($i > $i)).
% 1.98/0.66 thf(func_def_364, type, sK154: ($i > $i)).
% 1.98/0.66 thf(func_def_365, type, sK155: ($i > $i)).
% 1.98/0.66 thf(func_def_366, type, sK156: ($i > $i > $i > $i)).
% 1.98/0.66 thf(func_def_367, type, sK157: ($i > $i)).
% 1.98/0.66 thf(func_def_368, type, sK158: ($i > $i)).
% 1.98/0.66 thf(func_def_369, type, sK159: ($i > $i)).
% 1.98/0.66 thf(func_def_370, type, sK160: ($i > $i)).
% 1.98/0.66 thf(func_def_371, type, sK161: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_372, type, sK162: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_373, type, sK163: ($i > $i > $i > $i)).
% 1.98/0.66 thf(func_def_374, type, sK164: ($i > $i > $i > $i)).
% 1.98/0.66 thf(func_def_375, type, sK165: ($i > $i > $i > $i)).
% 1.98/0.66 thf(func_def_376, type, sK166: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_377, type, sK167: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_378, type, sK168: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_391, type, sK181: ($i > $i > $o)).
% 1.98/0.66 thf(func_def_393, type, sK183: ($i > $i)).
% 1.98/0.66 thf(func_def_394, type, sK184: ($i > $i)).
% 1.98/0.66 thf(func_def_395, type, sK185: ($i > ($i > $i > $o) > $i)).
% 1.98/0.66 thf(func_def_396, type, sK186: ($i > $i > ($i > $i > $o) > $i)).
% 1.98/0.66 thf(func_def_397, type, sK187: ($i > ($i > $i > $o) > $i)).
% 1.98/0.66 thf(func_def_398, type, sK188: (($i > $o) > $i > $i)).
% 1.98/0.66 thf(func_def_400, type, sK190: ($i > $o)).
% 1.98/0.66 thf(func_def_415, type, sK205: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_430, type, sK220: $o).
% 1.98/0.66 thf(func_def_433, type, sK223: ($i > $o)).
% 1.98/0.66 thf(func_def_436, type, sK226: (($i > $o) > $i > $i)).
% 1.98/0.66 thf(func_def_438, type, sK228: ($i > $o)).
% 1.98/0.66 thf(func_def_445, type, sK235: ($i > $o)).
% 1.98/0.66 thf(func_def_446, type, sK236: ($i > $o)).
% 1.98/0.66 thf(func_def_447, type, sK237: (($i > $o) > ($i > $o) > $i)).
% 1.98/0.66 thf(func_def_448, type, sK238: (($i > $o) > ($i > $o) > $i)).
% 1.98/0.66 thf(func_def_452, type, sK242: ($i > $i)).
% 1.98/0.66 thf(func_def_455, type, sK245: ($i > $o)).
% 1.98/0.66 thf(func_def_457, type, sK247: (($i > $o) > $i > $i)).
% 1.98/0.66 thf(func_def_458, type, sK248: ($i > $o)).
% 1.98/0.66 thf(func_def_461, type, sK251: ($i > $i)).
% 1.98/0.66 thf(func_def_462, type, sK252: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_463, type, sK253: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_468, type, sK258: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_471, type, sK261: (($i > $o) > $i > $i)).
% 1.98/0.66 thf(func_def_473, type, sK263: ($i > $o)).
% 1.98/0.66 thf(func_def_481, type, sK271: ($i > $i > ($i > $o) > $i)).
% 1.98/0.66 thf(func_def_482, type, sK272: ($i > $o)).
% 1.98/0.66 thf(func_def_485, type, sK275: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_488, type, sK278: ($i > $o)).
% 1.98/0.66 thf(func_def_489, type, sK279: ($i > $i)).
% 1.98/0.66 thf(func_def_490, type, sK280: (($i > $o) > $i)).
% 1.98/0.66 thf(func_def_495, type, sK285: ($i > $o)).
% 1.98/0.66 thf(func_def_497, type, sK287: (($i > $o) > $i > $i)).
% 1.98/0.66 thf(func_def_498, type, sK288: (($i > $o) > $i > $i)).
% 1.98/0.66 thf(func_def_501, type, sK291: ($i > $i)).
% 1.98/0.66 thf(func_def_504, type, sK294: (($i > $o) > $i)).
% 1.98/0.66 thf(func_def_505, type, sK295: (($i > $o) > $i)).
% 1.98/0.66 thf(func_def_506, type, sK296: ($i > $o)).
% 1.98/0.66 thf(func_def_516, type, sK306: ($i > $o)).
% 1.98/0.66 thf(func_def_517, type, sK307: (($i > $o) > $i)).
% 1.98/0.66 thf(func_def_530, type, sK320: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_546, type, sK336: ($i > $o)).
% 1.98/0.66 thf(func_def_551, type, sK341: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_553, type, sK343: ($i > $o)).
% 1.98/0.66 thf(func_def_556, type, sK346: ($i > $o)).
% 1.98/0.66 thf(func_def_564, type, sK354: (($i > $o) > ($i > $o) > $i)).
% 1.98/0.66 thf(func_def_565, type, sK355: (($i > $o) > ($i > $o) > $i)).
% 1.98/0.66 thf(func_def_566, type, sK356: ($i > $o)).
% 1.98/0.66 thf(func_def_567, type, sK357: ($i > $o)).
% 1.98/0.66 thf(func_def_583, type, sK373: $o).
% 1.98/0.66 thf(func_def_584, type, sK374: ($i > $i > $i)).
% 1.98/0.66 thf(func_def_589, type, sK379: ($i > $o)).
% 1.98/0.66 thf(func_def_595, type, sK385: ($i > $i)).
% 1.98/0.66 thf(func_def_599, type, sK389: $o).
% 1.98/0.66 thf(func_def_609, type, sK399: ($i > $i > $i > $i)).
% 1.98/0.66 thf(func_def_610, type, sK400: ($i > $i > $i > $i)).
% 1.98/0.66 thf(func_def_611, type, sK401: (($i > $o) > $i > $i)).
% 1.98/0.66 thf(func_def_612, type, sK402: (($i > $o) > $i > $i)).
% 1.98/0.66 thf(func_def_614, type, sK404: ($i > $o)).
% 1.98/0.66 thf(func_def_628, type, sK418: ($i > $i)).
% 1.98/0.66 thf(func_def_630, type, sK420: ($i > $i)).
% 1.98/0.66 thf(func_def_635, type, sK425: ($i > $o)).
% 1.98/0.66 thf(func_def_637, type, sK427: ($i > ($i > $o) > $i)).
% 1.98/0.66 thf(func_def_644, type, sK434: (($i > $o) > $i > $i)).
% 1.98/0.66 thf(func_def_646, type, sK436: ($i > $o)).
% 1.98/0.66 thf(func_def_665, type, sK455: $o).
% 1.98/0.66 thf(f4,axiom,(
% 1.98/0.66 (setadjoinAx = ! [X1 : $i,X2 : $i,X0 : $i] : (((X2 = X0) | (in @ X2 @ X1)) <=> (in @ X2 @ (setadjoin @ X0 @ X1))))),
% 1.98/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinAx)).
% 1.98/0.66 thf(f21,axiom,(
% 1.98/0.66 (! [X0 : $i] : ~(in @ X0 @ emptyset) = notinemptyset)),
% 1.98/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notinemptyset)).
% 1.98/0.66 thf(f138,axiom,(
% 1.98/0.66 (setukpairIR = ! [X0 : $i,X1 : $i] : (in @ X1 @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))))),
% 1.98/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setukpairIR)).
% 1.98/0.66 thf(f157,axiom,(
% 1.98/0.66 (setunionsingleton = ! [X0 : $i] : (((setunion @ (setadjoin @ X0 @ emptyset))) = X0))),
% 1.98/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionsingleton)).
% 1.98/0.66 thf(f172,axiom,(
% 1.98/0.66 (! [X0 : $i,X1 : $i] : ((X0 = X1) => (((setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))) = ((setadjoin @ X0 @ emptyset)))) = setukpairinjR11)),
% 1.98/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setukpairinjR11)).
% 1.98/0.66 thf(f174,conjecture,(
% 1.98/0.66 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 => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => ! [X2 : $i,X0 : $i,X3 : $i,X1 : $i] : ((((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) = ((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))) => ((X2 = X3) => (X1 = X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.98/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setukpairinjR1)).
% 1.98/0.66 thf(f175,negated_conjecture,(
% 1.98/0.66 ~(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 => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => ! [X2 : $i,X0 : $i,X3 : $i,X1 : $i] : ((((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) = ((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))) => ((X2 = X3) => (X1 = X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.98/0.66 inference(negated_conjecture,[status(cth)],[f174])).
% 1.98/0.66 thf(f180,plain,(
% 1.98/0.66 ! [X0 : $i] : (((setunion @ (setadjoin @ X0 @ emptyset))) = X0) <=> (setunionsingleton = $true)),
% 1.98/0.66 inference(fool_elimination,[],[f157])).
% 1.98/0.66 thf(f181,plain,(
% 1.98/0.66 ! [X0 : $i,X1 : $i] : ((X0 = X1) => (((setadjoin @ X0 @ emptyset)) = ((setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))))) <=> (setukpairinjR11 = $true)),
% 1.98/0.66 inference(fool_elimination,[],[f172])).
% 1.98/0.66 thf(f188,plain,(
% 1.98/0.66 (! [X0 : $i] : ~(in @ X0 @ emptyset) = notinemptyset)),
% 1.98/0.66 inference(rectify,[],[f21])).
% 1.98/0.66 thf(f189,plain,(
% 1.98/0.66 ! [X0 : $i] : ~ (((in @ X0 @ emptyset)) = $true) <=> (notinemptyset = $true)),
% 1.98/0.66 inference(fool_elimination,[],[f188])).
% 1.98/0.66 thf(f275,plain,(
% 1.98/0.66 (setukpairIR = ! [X0 : $i,X1 : $i] : (in @ X1 @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))))),
% 1.98/0.66 inference(rectify,[],[f138])).
% 1.98/0.66 thf(f276,plain,(
% 1.98/0.66 ! [X1 : $i,X0 : $i] : (((in @ X1 @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))))) = $true) <=> (setukpairIR = $true)),
% 1.98/0.66 inference(fool_elimination,[],[f275])).
% 1.98/0.66 thf(f418,plain,(
% 1.98/0.66 ~(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 => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i] : ((((setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X3 @ emptyset)) @ emptyset))) = ((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X2 @ emptyset)) @ emptyset)))) => ((X0 = X2) => (X2 = X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.98/0.66 inference(rectify,[],[f175])).
% 1.98/0.66 thf(f419,plain,(
% 1.98/0.66 ~((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) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((((setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X3 @ emptyset)) @ emptyset))) = ((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X2 @ emptyset)) @ emptyset)))) => ((X0 = X2) => (X2 = X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.98/0.66 inference(fool_elimination,[],[f418])).
% 1.98/0.66 thf(f447,plain,(
% 1.98/0.66 (setadjoinAx = ! [X0 : $i,X1 : $i,X2 : $i] : (((X1 = X2) | (in @ X1 @ X0)) <=> (in @ X1 @ (setadjoin @ X2 @ X0))))),
% 1.98/0.66 inference(rectify,[],[f4])).
% 1.98/0.66 thf(f448,plain,(
% 1.98/0.66 ! [X2 : $i,X0 : $i,X1 : $i] : (((((in @ X1 @ X0)) = $true) | (X1 = X2)) <=> (((in @ X1 @ (setadjoin @ X2 @ X0))) = $true)) <=> (setadjoinAx = $true)),
% 1.98/0.66 inference(fool_elimination,[],[f447])).
% 1.98/0.66 thf(f512,plain,(
% 1.98/0.66 (notinemptyset = $true) <=> ! [X0 : $i] : (((in @ X0 @ emptyset)) != $true)),
% 1.98/0.66 inference(flattening,[],[f189])).
% 1.98/0.66 thf(f569,plain,(
% 1.98/0.66 (setukpairinjR11 = $true) <=> ! [X1 : $i,X0 : $i] : ((((setadjoin @ X0 @ emptyset)) = ((setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) | (X0 != X1))),
% 1.98/0.66 inference(ennf_transformation,[],[f181])).
% 1.98/0.66 thf(f602,plain,(
% 1.98/0.66 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((X2 != X3) & (X0 = X2)) & (((setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X3 @ emptyset)) @ emptyset))) = ((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X2 @ emptyset)) @ emptyset))))) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $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)),
% 1.98/0.66 inference(ennf_transformation,[],[f419])).
% 1.98/0.66 thf(f603,plain,(
% 1.98/0.66 (subsetTrans = $true) & (ex1I2 = $true) & (binintersectLsub = $true) & (binintersectSubset1 = $true) & (prop2set2propI = $true) & (singletonprop = $true) & (upairsetIR = $true) & (setminusILneg = $true) & (symdiffIneg1 = $true) & (binintersectEL = $true) & (symdiffE = $true) & (ubforcartprodlem3 = $true) & (exuE1 = $true) & (emptyinPowerset = $true) & (singletonsuniq = $true) & (emptyInPowerset = $true) & (setbeta = $true) & (sepSubset = $true) & (binintersectER = $true) & (in__Cong = $true) & (binunionLsub = $true) & (notdallE = $true) & (emptysetAx = $true) & (exuE2 = $true) & (setextsub = $true) & (setminusERneg = $true) & (setunionAx = $true) & (dsetconstrI = $true) & (dsetconstrER = $true) & (upairset2E = $true) & (setukpairinjL1 = $true) & (exuE3e = $true) & (secondinupair = $true) & (dsetconstrEL = $true) & (subsetE2 = $true) & (setminusSubset2 = $true) & (cartprodpairin = $true) & (setminusELneg = $true) & (nonemptyI1 = $true) & (symdiffI1 = $true) & (setadjoinAx = $true) & (quantDeMorgan2 = $true) & (setukpairinjL2 = $true) & (ubforcartprodlem2 = $true) & (symdiffI2 = $true) & (setunionsingleton = $true) & (setukpairinjR11 = $true) & (omega__Cong = $true) & (notdexE = $true) & (uniqinunit = $true) & (exuI2 = $true) & (eqimpsubset1 = $true) & (binintersectSubset3 = $true) & (notinsingleton = $true) & (singletoninpowerset = $true) & (singletonsswitch = $true) & (binunionRsub = $true) & (setadjoinOr = $true) & (inPowerset = $true) & (emptysetE = $true) & ? [X3 : $i,X1 : $i,X2 : $i,X0 : $i] : ((X0 = X2) & (X2 != X3) & (((setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X3 @ emptyset)) @ emptyset))) = ((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X2 @ emptyset)) @ emptyset))))) & (exuI3 = $true) & (omegaIndAx = $true) & (binintersectSubset2 = $true) & (eqinunit = $true) & (prop2setI = $true) & (wellorderingAx = $true) & (eqimpsubset2 = $true) & (nonemptyImpWitness = $true) & (singletonsubset = $true) & (exuEu = $true) & (binintersectRsub = $true) & (powersetE = $true) & (ex1I = $true) & (emptyE1 = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan1 = $true) & (sepInPowerset = $true) & (descrp = $true) & (setukpairIR = $true) & (foundationAx = $true) & (subsetRefl = $true) & (noeltsimpempty = $true) & (kpairiskpair = $true) & (setadjoinIR = $true) & (omegaSAx = $true) & (symdiffIneg2 = $true) & (descr__Cong = $true) & (setadjoinSub = $true) & (upairsetE = $true) & (prop2setE = $true) & (setukpairIL = $true) & (nonemptyI = $true) & (kpairp = $true) & (emptysetimpfalse = $true) & (notsubsetI = $true) & (setminusEL = $true) & (omega0Ax = $true) & (quantDeMorgan3 = $true) & (setoftrueEq = $true) & (subsetI2 = $true) & (powersetsubset = $true) & (subsetI1 = $true) & (setextAx = $true) & (setminusIRneg = $true) & (setunionE2 = $true) & (kfstsingleton = $true) & (notequalI2 = $true) & (setminusER = $true) & (emptyinunitempty = $true) & (cartprodmempair = $true) & (binunionEcases = $true) & (setunionsingleton1 = $true) & (powersetI = $true) & (emptyset__Cong = $true) & (singletoninpowunion = $true) & (setukpairinjL = $true) & (upairsubunion = $true) & (exuI1 = $true) & (setadjoinE = $true) & (binintersectI = $true) & (setminusI = $true) & (binintersectSubset5 = $true) & (powersetE1 = $true) & (notinemptyset = $true) & (setminusSubset1 = $true) & (subPowSU = $true) & (kfstpairEq = $true) & (setunionE = $true) & (binunionIL = $true) & (powersetAx = $true) & (powersetI1 = $true) & (setunionsingleton2 = $true) & (ex1E1 = $true) & (setunionI = $true) & (upairset2IR = $true) & (inCongP = $true) & (cartprodfstin = $true) & (upairsetIL = $true) & (dsetconstr__Cong = $true) & (bs114d = $true) & (exuE3u = $true) & (binintersectSubset4 = $true) & (binunionE = $true) & (cartprodmempair1 = $true) & (vacuousDall = $true) & (setunion__Cong = $true) & (exu__Cong = $true) & (subset2powerset = $true) & (notequalI1 = $true) & (setminusLsub = $true) & (setadjoinIL = $true) & (binunionIR = $true) & (setukpairinjR12 = $true) & (setadjoin__Cong = $true) & (emptysetsubset = $true) & (subsetE = $true) & (replAx = $true) & (disjointsetsI1 = $true) & (subsetemptysetimpeq = $true) & (emptyI = $true) & (setadjoinSub2 = $true) & (powerset__Cong = $true) & (theprop = $true) & (setext = $true) & (ubforcartprodlem1 = $true) & (upairinpowunion = $true) & (nonemptyE1 = $true)),
% 1.98/0.66 inference(flattening,[],[f602])).
% 1.98/0.66 thf(f744,plain,(
% 1.98/0.66 ((notinemptyset = $true) | ? [X0 : $i] : (((in @ X0 @ emptyset)) = $true)) & (! [X0 : $i] : (((in @ X0 @ emptyset)) != $true) | (notinemptyset != $true))),
% 1.98/0.66 inference(nnf_transformation,[],[f512])).
% 1.98/0.66 thf(f745,plain,(
% 1.98/0.66 ((notinemptyset = $true) | ? [X0 : $i] : (((in @ X0 @ emptyset)) = $true)) & (! [X1 : $i] : (((in @ X1 @ emptyset)) != $true) | (notinemptyset != $true))),
% 1.98/0.66 inference(rectify,[],[f744])).
% 1.98/0.66 thf(f746,plain,(
% 1.98/0.66 ((notinemptyset = $true) | (((in @ sK20 @ emptyset)) = $true)) & (! [X1 : $i] : (((in @ X1 @ emptyset)) != $true) | (notinemptyset != $true))),
% 1.98/0.66 inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X0,sK20)],[f745])).
% 1.98/0.66 thf(f841,plain,(
% 1.98/0.66 (! [X2 : $i,X0 : $i,X1 : $i] : ((((((in @ X1 @ X0)) = $true) | (X1 = X2)) | (((in @ X1 @ (setadjoin @ X2 @ X0))) != $true)) & ((((in @ X1 @ (setadjoin @ X2 @ X0))) = $true) | ((((in @ X1 @ X0)) != $true) & (X1 != X2)))) | (setadjoinAx != $true)) & ((setadjoinAx = $true) | ? [X2 : $i,X0 : $i,X1 : $i] : (((((in @ X1 @ (setadjoin @ X2 @ X0))) != $true) | ((((in @ X1 @ X0)) != $true) & (X1 != X2))) & ((((in @ X1 @ (setadjoin @ X2 @ X0))) = $true) | ((((in @ X1 @ X0)) = $true) | (X1 = X2)))))),
% 1.98/0.66 inference(nnf_transformation,[],[f448])).
% 1.98/0.66 thf(f842,plain,(
% 1.98/0.66 (! [X2 : $i,X0 : $i,X1 : $i] : (((((in @ X1 @ X0)) = $true) | (X1 = X2) | (((in @ X1 @ (setadjoin @ X2 @ X0))) != $true)) & ((((in @ X1 @ (setadjoin @ X2 @ X0))) = $true) | ((((in @ X1 @ X0)) != $true) & (X1 != X2)))) | (setadjoinAx != $true)) & ((setadjoinAx = $true) | ? [X2 : $i,X0 : $i,X1 : $i] : (((((in @ X1 @ (setadjoin @ X2 @ X0))) != $true) | ((((in @ X1 @ X0)) != $true) & (X1 != X2))) & ((((in @ X1 @ (setadjoin @ X2 @ X0))) = $true) | (((in @ X1 @ X0)) = $true) | (X1 = X2))))),
% 1.98/0.66 inference(flattening,[],[f841])).
% 1.98/0.66 thf(f843,plain,(
% 1.98/0.66 (! [X0 : $i,X1 : $i,X2 : $i] : (((((in @ X2 @ X1)) = $true) | (X0 = X2) | (((in @ X2 @ (setadjoin @ X0 @ X1))) != $true)) & ((((in @ X2 @ (setadjoin @ X0 @ X1))) = $true) | ((((in @ X2 @ X1)) != $true) & (X0 != X2)))) | (setadjoinAx != $true)) & ((setadjoinAx = $true) | ? [X3 : $i,X4 : $i,X5 : $i] : ((($true != ((in @ X5 @ (setadjoin @ X3 @ X4)))) | ((((in @ X5 @ X4)) != $true) & (X3 != X5))) & (($true = ((in @ X5 @ (setadjoin @ X3 @ X4)))) | (((in @ X5 @ X4)) = $true) | (X3 = X5))))),
% 1.98/0.66 inference(rectify,[],[f842])).
% 1.98/0.66 thf(f844,plain,(
% 1.98/0.66 (! [X0 : $i,X1 : $i,X2 : $i] : (((((in @ X2 @ X1)) = $true) | (X0 = X2) | (((in @ X2 @ (setadjoin @ X0 @ X1))) != $true)) & ((((in @ X2 @ (setadjoin @ X0 @ X1))) = $true) | ((((in @ X2 @ X1)) != $true) & (X0 != X2)))) | (setadjoinAx != $true)) & ((setadjoinAx = $true) | ((($true != ((in @ sK112 @ (setadjoin @ sK110 @ sK111)))) | ((((in @ sK112 @ sK111)) != $true) & (sK110 != sK112))) & (($true = ((in @ sK112 @ (setadjoin @ sK110 @ sK111)))) | (((in @ sK112 @ sK111)) = $true) | (sK110 = sK112))))),
% 1.98/0.66 inference(skolemize,[status(esa),new_symbols(skolem,[sK110,sK111,sK112]),skolemize(X3,sK110),skolemize(X4,sK111),skolemize(X5,sK112)],[f843])).
% 1.98/0.66 thf(f900,plain,(
% 1.98/0.66 (! [X0 : $i] : (((setunion @ (setadjoin @ X0 @ emptyset))) = X0) | (setunionsingleton != $true)) & ((setunionsingleton = $true) | ? [X0 : $i] : (((setunion @ (setadjoin @ X0 @ emptyset))) != X0))),
% 1.98/0.66 inference(nnf_transformation,[],[f180])).
% 1.98/0.66 thf(f901,plain,(
% 1.98/0.66 (! [X0 : $i] : (((setunion @ (setadjoin @ X0 @ emptyset))) = X0) | (setunionsingleton != $true)) & ((setunionsingleton = $true) | ? [X1 : $i] : (((setunion @ (setadjoin @ X1 @ emptyset))) != X1))),
% 1.98/0.66 inference(rectify,[],[f900])).
% 1.98/0.66 thf(f902,plain,(
% 1.98/0.66 (! [X0 : $i] : (((setunion @ (setadjoin @ X0 @ emptyset))) = X0) | (setunionsingleton != $true)) & ((setunionsingleton = $true) | (((setunion @ (setadjoin @ sK179 @ emptyset))) != sK179))),
% 1.98/0.66 inference(skolemize,[status(esa),new_symbols(skolem,[sK179]),skolemize(X1,sK179)],[f901])).
% 1.98/0.66 thf(f936,plain,(
% 1.98/0.66 ((setukpairinjR11 = $true) | ? [X1 : $i,X0 : $i] : ((((setadjoin @ X0 @ emptyset)) != ((setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) & (X0 = X1))) & (! [X1 : $i,X0 : $i] : ((((setadjoin @ X0 @ emptyset)) = ((setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) | (X0 != X1)) | (setukpairinjR11 != $true))),
% 1.98/0.66 inference(nnf_transformation,[],[f569])).
% 1.98/0.66 thf(f937,plain,(
% 1.98/0.66 ((setukpairinjR11 = $true) | ? [X0 : $i,X1 : $i] : ((((setadjoin @ X1 @ emptyset)) != ((setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)))) & (X0 = X1))) & (! [X2 : $i,X3 : $i] : ((((setadjoin @ X3 @ emptyset)) = ((setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))) | (X2 != X3)) | (setukpairinjR11 != $true))),
% 1.98/0.66 inference(rectify,[],[f936])).
% 1.98/0.66 thf(f938,plain,(
% 1.98/0.66 ((setukpairinjR11 = $true) | ((((setadjoin @ sK214 @ (setadjoin @ sK213 @ emptyset))) != ((setadjoin @ sK214 @ emptyset))) & (sK214 = sK213))) & (! [X2 : $i,X3 : $i] : ((((setadjoin @ X3 @ emptyset)) = ((setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))) | (X2 != X3)) | (setukpairinjR11 != $true))),
% 1.98/0.66 inference(skolemize,[status(esa),new_symbols(skolem,[sK213,sK214]),skolemize(X0,sK213),skolemize(X1,sK214)],[f937])).
% 1.98/0.66 thf(f1033,plain,(
% 1.98/0.66 (! [X1 : $i,X0 : $i] : (((in @ X1 @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))))) = $true) | (setukpairIR != $true)) & ((setukpairIR = $true) | ? [X1 : $i,X0 : $i] : (((in @ X1 @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))))) != $true))),
% 1.98/0.66 inference(nnf_transformation,[],[f276])).
% 1.98/0.66 thf(f1034,plain,(
% 1.98/0.66 (! [X0 : $i,X1 : $i] : ($true = ((in @ X0 @ (setunion @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)) @ emptyset)))))) | (setukpairIR != $true)) & ((setukpairIR = $true) | ? [X2 : $i,X3 : $i] : (((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)) @ emptyset))))) != $true))),
% 1.98/0.66 inference(rectify,[],[f1033])).
% 1.98/0.66 thf(f1035,plain,(
% 1.98/0.66 (! [X0 : $i,X1 : $i] : ($true = ((in @ X0 @ (setunion @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)) @ emptyset)))))) | (setukpairIR != $true)) & ((setukpairIR = $true) | (((in @ sK298 @ (setunion @ (setadjoin @ (setadjoin @ sK299 @ emptyset) @ (setadjoin @ (setadjoin @ sK299 @ (setadjoin @ sK298 @ emptyset)) @ emptyset))))) != $true))),
% 1.98/0.66 inference(skolemize,[status(esa),new_symbols(skolem,[sK298,sK299]),skolemize(X2,sK298),skolemize(X3,sK299)],[f1034])).
% 1.98/0.66 thf(f1105,plain,(
% 1.98/0.66 (subsetTrans = $true) & (ex1I2 = $true) & (binintersectLsub = $true) & (binintersectSubset1 = $true) & (prop2set2propI = $true) & (singletonprop = $true) & (upairsetIR = $true) & (setminusILneg = $true) & (symdiffIneg1 = $true) & (binintersectEL = $true) & (symdiffE = $true) & (ubforcartprodlem3 = $true) & (exuE1 = $true) & (emptyinPowerset = $true) & (singletonsuniq = $true) & (emptyInPowerset = $true) & (setbeta = $true) & (sepSubset = $true) & (binintersectER = $true) & (in__Cong = $true) & (binunionLsub = $true) & (notdallE = $true) & (emptysetAx = $true) & (exuE2 = $true) & (setextsub = $true) & (setminusERneg = $true) & (setunionAx = $true) & (dsetconstrI = $true) & (dsetconstrER = $true) & (upairset2E = $true) & (setukpairinjL1 = $true) & (exuE3e = $true) & (secondinupair = $true) & (dsetconstrEL = $true) & (subsetE2 = $true) & (setminusSubset2 = $true) & (cartprodpairin = $true) & (setminusELneg = $true) & (nonemptyI1 = $true) & (symdiffI1 = $true) & (setadjoinAx = $true) & (quantDeMorgan2 = $true) & (setukpairinjL2 = $true) & (ubforcartprodlem2 = $true) & (symdiffI2 = $true) & (setunionsingleton = $true) & (setukpairinjR11 = $true) & (omega__Cong = $true) & (notdexE = $true) & (uniqinunit = $true) & (exuI2 = $true) & (eqimpsubset1 = $true) & (binintersectSubset3 = $true) & (notinsingleton = $true) & (singletoninpowerset = $true) & (singletonsswitch = $true) & (binunionRsub = $true) & (setadjoinOr = $true) & (inPowerset = $true) & (emptysetE = $true) & ? [X0 : $i,X1 : $i,X2 : $i,X3 : $i] : ((X2 = X3) & (X0 != X2) & (((setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)) @ emptyset))) = ((setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)) @ emptyset))))) & (exuI3 = $true) & (omegaIndAx = $true) & (binintersectSubset2 = $true) & (eqinunit = $true) & (prop2setI = $true) & (wellorderingAx = $true) & (eqimpsubset2 = $true) & (nonemptyImpWitness = $true) & (singletonsubset = $true) & (exuEu = $true) & (binintersectRsub = $true) & (powersetE = $true) & (ex1I = $true) & (emptyE1 = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan1 = $true) & (sepInPowerset = $true) & (descrp = $true) & (setukpairIR = $true) & (foundationAx = $true) & (subsetRefl = $true) & (noeltsimpempty = $true) & (kpairiskpair = $true) & (setadjoinIR = $true) & (omegaSAx = $true) & (symdiffIneg2 = $true) & (descr__Cong = $true) & (setadjoinSub = $true) & (upairsetE = $true) & (prop2setE = $true) & (setukpairIL = $true) & (nonemptyI = $true) & (kpairp = $true) & (emptysetimpfalse = $true) & (notsubsetI = $true) & (setminusEL = $true) & (omega0Ax = $true) & (quantDeMorgan3 = $true) & (setoftrueEq = $true) & (subsetI2 = $true) & (powersetsubset = $true) & (subsetI1 = $true) & (setextAx = $true) & (setminusIRneg = $true) & (setunionE2 = $true) & (kfstsingleton = $true) & (notequalI2 = $true) & (setminusER = $true) & (emptyinunitempty = $true) & (cartprodmempair = $true) & (binunionEcases = $true) & (setunionsingleton1 = $true) & (powersetI = $true) & (emptyset__Cong = $true) & (singletoninpowunion = $true) & (setukpairinjL = $true) & (upairsubunion = $true) & (exuI1 = $true) & (setadjoinE = $true) & (binintersectI = $true) & (setminusI = $true) & (binintersectSubset5 = $true) & (powersetE1 = $true) & (notinemptyset = $true) & (setminusSubset1 = $true) & (subPowSU = $true) & (kfstpairEq = $true) & (setunionE = $true) & (binunionIL = $true) & (powersetAx = $true) & (powersetI1 = $true) & (setunionsingleton2 = $true) & (ex1E1 = $true) & (setunionI = $true) & (upairset2IR = $true) & (inCongP = $true) & (cartprodfstin = $true) & (upairsetIL = $true) & (dsetconstr__Cong = $true) & (bs114d = $true) & (exuE3u = $true) & (binintersectSubset4 = $true) & (binunionE = $true) & (cartprodmempair1 = $true) & (vacuousDall = $true) & (setunion__Cong = $true) & (exu__Cong = $true) & (subset2powerset = $true) & (notequalI1 = $true) & (setminusLsub = $true) & (setadjoinIL = $true) & (binunionIR = $true) & (setukpairinjR12 = $true) & (setadjoin__Cong = $true) & (emptysetsubset = $true) & (subsetE = $true) & (replAx = $true) & (disjointsetsI1 = $true) & (subsetemptysetimpeq = $true) & (emptyI = $true) & (setadjoinSub2 = $true) & (powerset__Cong = $true) & (theprop = $true) & (setext = $true) & (ubforcartprodlem1 = $true) & (upairinpowunion = $true) & (nonemptyE1 = $true)),
% 1.98/0.66 inference(rectify,[],[f603])).
% 1.98/0.66 thf(f1106,plain,(
% 1.98/0.66 (subsetTrans = $true) & (ex1I2 = $true) & (binintersectLsub = $true) & (binintersectSubset1 = $true) & (prop2set2propI = $true) & (singletonprop = $true) & (upairsetIR = $true) & (setminusILneg = $true) & (symdiffIneg1 = $true) & (binintersectEL = $true) & (symdiffE = $true) & (ubforcartprodlem3 = $true) & (exuE1 = $true) & (emptyinPowerset = $true) & (singletonsuniq = $true) & (emptyInPowerset = $true) & (setbeta = $true) & (sepSubset = $true) & (binintersectER = $true) & (in__Cong = $true) & (binunionLsub = $true) & (notdallE = $true) & (emptysetAx = $true) & (exuE2 = $true) & (setextsub = $true) & (setminusERneg = $true) & (setunionAx = $true) & (dsetconstrI = $true) & (dsetconstrER = $true) & (upairset2E = $true) & (setukpairinjL1 = $true) & (exuE3e = $true) & (secondinupair = $true) & (dsetconstrEL = $true) & (subsetE2 = $true) & (setminusSubset2 = $true) & (cartprodpairin = $true) & (setminusELneg = $true) & (nonemptyI1 = $true) & (symdiffI1 = $true) & (setadjoinAx = $true) & (quantDeMorgan2 = $true) & (setukpairinjL2 = $true) & (ubforcartprodlem2 = $true) & (symdiffI2 = $true) & (setunionsingleton = $true) & (setukpairinjR11 = $true) & (omega__Cong = $true) & (notdexE = $true) & (uniqinunit = $true) & (exuI2 = $true) & (eqimpsubset1 = $true) & (binintersectSubset3 = $true) & (notinsingleton = $true) & (singletoninpowerset = $true) & (singletonsswitch = $true) & (binunionRsub = $true) & (setadjoinOr = $true) & (inPowerset = $true) & (emptysetE = $true) & ((sK353 = sK352) & (sK350 != sK352) & (((setadjoin @ (setadjoin @ sK353 @ emptyset) @ (setadjoin @ (setadjoin @ sK353 @ (setadjoin @ sK352 @ emptyset)) @ emptyset))) = ((setadjoin @ (setadjoin @ sK351 @ emptyset) @ (setadjoin @ (setadjoin @ sK351 @ (setadjoin @ sK350 @ emptyset)) @ emptyset))))) & (exuI3 = $true) & (omegaIndAx = $true) & (binintersectSubset2 = $true) & (eqinunit = $true) & (prop2setI = $true) & (wellorderingAx = $true) & (eqimpsubset2 = $true) & (nonemptyImpWitness = $true) & (singletonsubset = $true) & (exuEu = $true) & (binintersectRsub = $true) & (powersetE = $true) & (ex1I = $true) & (emptyE1 = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan1 = $true) & (sepInPowerset = $true) & (descrp = $true) & (setukpairIR = $true) & (foundationAx = $true) & (subsetRefl = $true) & (noeltsimpempty = $true) & (kpairiskpair = $true) & (setadjoinIR = $true) & (omegaSAx = $true) & (symdiffIneg2 = $true) & (descr__Cong = $true) & (setadjoinSub = $true) & (upairsetE = $true) & (prop2setE = $true) & (setukpairIL = $true) & (nonemptyI = $true) & (kpairp = $true) & (emptysetimpfalse = $true) & (notsubsetI = $true) & (setminusEL = $true) & (omega0Ax = $true) & (quantDeMorgan3 = $true) & (setoftrueEq = $true) & (subsetI2 = $true) & (powersetsubset = $true) & (subsetI1 = $true) & (setextAx = $true) & (setminusIRneg = $true) & (setunionE2 = $true) & (kfstsingleton = $true) & (notequalI2 = $true) & (setminusER = $true) & (emptyinunitempty = $true) & (cartprodmempair = $true) & (binunionEcases = $true) & (setunionsingleton1 = $true) & (powersetI = $true) & (emptyset__Cong = $true) & (singletoninpowunion = $true) & (setukpairinjL = $true) & (upairsubunion = $true) & (exuI1 = $true) & (setadjoinE = $true) & (binintersectI = $true) & (setminusI = $true) & (binintersectSubset5 = $true) & (powersetE1 = $true) & (notinemptyset = $true) & (setminusSubset1 = $true) & (subPowSU = $true) & (kfstpairEq = $true) & (setunionE = $true) & (binunionIL = $true) & (powersetAx = $true) & (powersetI1 = $true) & (setunionsingleton2 = $true) & (ex1E1 = $true) & (setunionI = $true) & (upairset2IR = $true) & (inCongP = $true) & (cartprodfstin = $true) & (upairsetIL = $true) & (dsetconstr__Cong = $true) & (bs114d = $true) & (exuE3u = $true) & (binintersectSubset4 = $true) & (binunionE = $true) & (cartprodmempair1 = $true) & (vacuousDall = $true) & (setunion__Cong = $true) & (exu__Cong = $true) & (subset2powerset = $true) & (notequalI1 = $true) & (setminusLsub = $true) & (setadjoinIL = $true) & (binunionIR = $true) & (setukpairinjR12 = $true) & (setadjoin__Cong = $true) & (emptysetsubset = $true) & (subsetE = $true) & (replAx = $true) & (disjointsetsI1 = $true) & (subsetemptysetimpeq = $true) & (emptyI = $true) & (setadjoinSub2 = $true) & (powerset__Cong = $true) & (theprop = $true) & (setext = $true) & (ubforcartprodlem1 = $true) & (upairinpowunion = $true) & (nonemptyE1 = $true)),
% 1.98/0.66 inference(skolemize,[status(esa),new_symbols(skolem,[sK350,sK351,sK352,sK353]),skolemize(X0,sK350),skolemize(X1,sK351),skolemize(X2,sK352),skolemize(X3,sK353)],[f1105])).
% 1.98/0.66 thf(f1245,plain,(
% 1.98/0.66 ( ! [X1 : $i] : ((notinemptyset != $true) | (((in @ X1 @ emptyset)) != $true)) )),
% 1.98/0.66 inference(cnf_transformation,[],[f746])).
% 1.98/0.66 thf(f1377,plain,(
% 1.98/0.66 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((in @ X2 @ X1)) = $true) | (setadjoinAx != $true) | (((in @ X2 @ (setadjoin @ X0 @ X1))) != $true) | (X0 = X2)) )),
% 1.98/0.66 inference(cnf_transformation,[],[f844])).
% 1.98/0.66 thf(f1481,plain,(
% 1.98/0.66 ( ! [X0 : $i] : ((((setunion @ (setadjoin @ X0 @ emptyset))) = X0) | (setunionsingleton != $true)) )),
% 1.98/0.66 inference(cnf_transformation,[],[f902])).
% 1.98/0.66 thf(f1526,plain,(
% 1.98/0.66 ( ! [X2 : $i,X3 : $i] : ((((setadjoin @ X3 @ emptyset)) = ((setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))) | (X2 != X3) | (setukpairinjR11 != $true)) )),
% 1.98/0.66 inference(cnf_transformation,[],[f938])).
% 1.98/0.66 thf(f1654,plain,(
% 1.98/0.66 ( ! [X0 : $i,X1 : $i] : (($true = ((in @ X0 @ (setunion @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)) @ emptyset)))))) | (setukpairIR != $true)) )),
% 1.98/0.66 inference(cnf_transformation,[],[f1035])).
% 1.98/0.66 thf(f1767,plain,(
% 1.98/0.66 (notinemptyset = $true)),
% 1.98/0.66 inference(cnf_transformation,[],[f1106])).
% 1.98/0.66 thf(f1812,plain,(
% 1.98/0.66 (setukpairIR = $true)),
% 1.98/0.66 inference(cnf_transformation,[],[f1106])).
% 1.98/0.66 thf(f1831,plain,(
% 1.98/0.66 (((setadjoin @ (setadjoin @ sK353 @ emptyset) @ (setadjoin @ (setadjoin @ sK353 @ (setadjoin @ sK352 @ emptyset)) @ emptyset))) = ((setadjoin @ (setadjoin @ sK351 @ emptyset) @ (setadjoin @ (setadjoin @ sK351 @ (setadjoin @ sK350 @ emptyset)) @ emptyset))))),
% 1.98/0.66 inference(cnf_transformation,[],[f1106])).
% 1.98/0.66 thf(f1832,plain,(
% 1.98/0.66 (sK350 != sK352)),
% 1.98/0.66 inference(cnf_transformation,[],[f1106])).
% 1.98/0.66 thf(f1833,plain,(
% 1.98/0.66 (sK353 = sK352)),
% 1.98/0.66 inference(cnf_transformation,[],[f1106])).
% 1.98/0.66 thf(f1847,plain,(
% 1.98/0.66 (setukpairinjR11 = $true)),
% 1.98/0.66 inference(cnf_transformation,[],[f1106])).
% 1.98/0.66 thf(f1848,plain,(
% 1.98/0.66 (setunionsingleton = $true)),
% 1.98/0.66 inference(cnf_transformation,[],[f1106])).
% 1.98/0.66 thf(f1853,plain,(
% 1.98/0.66 (setadjoinAx = $true)),
% 1.98/0.66 inference(cnf_transformation,[],[f1106])).
% 1.98/0.66 thf(f2073,plain,(
% 1.98/0.66 ( ! [X3 : $i] : ((setukpairinjR11 != $true) | (((setadjoin @ X3 @ emptyset)) = ((setadjoin @ X3 @ (setadjoin @ X3 @ emptyset))))) )),
% 1.98/0.66 inference(equality_resolution,[],[f1526])).
% 1.98/0.66 thf(f2532,definition,(
% 1.98/0.66 spl463_72 <=> (setadjoinAx = $true)),
% 1.98/0.66 introduced(definition,[new_symbols(definition,[spl463_72])],[avatar_definition])).
% 1.98/0.66 thf(f2900,definition,(
% 1.98/0.66 spl463_154 <=> ! [X4 : $i,X5 : $i,X3 : $i] : ((X4 = X5) | ($true = ((in @ X4 @ X3))) | (((in @ X4 @ (setadjoin @ X5 @ X3))) != $true))),
% 1.98/0.66 introduced(definition,[new_symbols(definition,[spl463_154])],[avatar_definition])).
% 1.98/0.66 thf(f2901,plain,(
% 1.98/0.66 ( ! [X3 : $i,X4 : $i,X5 : $i] : ((((in @ X4 @ (setadjoin @ X5 @ X3))) != $true) | ($true = ((in @ X4 @ X3))) | (X4 = X5)) ) | ~spl463_154),
% 1.98/0.66 inference(avatar_component_clause,[],[f2900])).
% 1.98/0.66 thf(f3183,definition,(
% 1.98/0.66 spl463_217 <=> (setunionsingleton = $true)),
% 1.98/0.66 introduced(definition,[new_symbols(definition,[spl463_217])],[avatar_definition])).
% 1.98/0.66 thf(f3497,definition,(
% 1.98/0.66 spl463_287 <=> ! [X0 : $i] : (((in @ X0 @ emptyset)) != $true)),
% 1.98/0.66 introduced(definition,[new_symbols(definition,[spl463_287])],[avatar_definition])).
% 1.98/0.66 thf(f3498,plain,(
% 1.98/0.66 ( ! [X0 : $i] : ((((in @ X0 @ emptyset)) != $true)) ) | ~spl463_287),
% 1.98/0.66 inference(avatar_component_clause,[],[f3497])).
% 1.98/0.66 thf(f3570,definition,(
% 1.98/0.66 spl463_303 <=> (sK353 = sK352)),
% 1.98/0.66 introduced(definition,[new_symbols(definition,[spl463_303])],[avatar_definition])).
% 1.98/0.66 thf(f3572,plain,(
% 1.98/0.66 (sK353 = sK352) | ~spl463_303),
% 1.98/0.66 inference(avatar_component_clause,[],[f3570])).
% 1.98/0.66 thf(f3573,plain,(
% 1.98/0.66 spl463_303),
% 1.98/0.66 inference(avatar_split_clause,[],[f1833,f3570])).
% 1.98/0.66 thf(f3780,plain,(
% 1.98/0.66 spl463_217),
% 1.98/0.66 inference(avatar_split_clause,[],[f1848,f3183])).
% 1.98/0.66 thf(f3904,definition,(
% 1.98/0.66 spl463_374 <=> (setukpairIR = $true)),
% 1.98/0.66 introduced(definition,[new_symbols(definition,[spl463_374])],[avatar_definition])).
% 1.98/0.66 thf(f3908,definition,(
% 1.98/0.66 spl463_375 <=> ! [X0 : $i,X1 : $i] : ($true = ((in @ X0 @ (setunion @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)) @ emptyset))))))),
% 1.98/0.66 introduced(definition,[new_symbols(definition,[spl463_375])],[avatar_definition])).
% 1.98/0.66 thf(f3909,plain,(
% 1.98/0.66 ( ! [X0 : $i,X1 : $i] : (($true = ((in @ X0 @ (setunion @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)) @ emptyset))))))) ) | ~spl463_375),
% 1.98/0.66 inference(avatar_component_clause,[],[f3908])).
% 1.98/0.66 thf(f3910,plain,(
% 1.98/0.66 ~spl463_374 | spl463_375),
% 1.98/0.66 inference(avatar_split_clause,[],[f1654,f3908,f3904])).
% 1.98/0.66 thf(f4054,definition,(
% 1.98/0.66 spl463_406 <=> (((setadjoin @ (setadjoin @ sK353 @ emptyset) @ (setadjoin @ (setadjoin @ sK353 @ (setadjoin @ sK352 @ emptyset)) @ emptyset))) = ((setadjoin @ (setadjoin @ sK351 @ emptyset) @ (setadjoin @ (setadjoin @ sK351 @ (setadjoin @ sK350 @ emptyset)) @ emptyset))))),
% 1.98/0.66 introduced(definition,[new_symbols(definition,[spl463_406])],[avatar_definition])).
% 1.98/0.66 thf(f4056,plain,(
% 1.98/0.66 (((setadjoin @ (setadjoin @ sK353 @ emptyset) @ (setadjoin @ (setadjoin @ sK353 @ (setadjoin @ sK352 @ emptyset)) @ emptyset))) = ((setadjoin @ (setadjoin @ sK351 @ emptyset) @ (setadjoin @ (setadjoin @ sK351 @ (setadjoin @ sK350 @ emptyset)) @ emptyset)))) | ~spl463_406),
% 1.98/0.66 inference(avatar_component_clause,[],[f4054])).
% 1.98/0.66 thf(f4057,plain,(
% 1.98/0.66 spl463_406),
% 1.98/0.66 inference(avatar_split_clause,[],[f1831,f4054])).
% 1.98/0.66 thf(f4381,plain,(
% 1.98/0.66 spl463_154 | ~spl463_72),
% 1.98/0.66 inference(avatar_split_clause,[],[f1377,f2532,f2900])).
% 1.98/0.66 thf(f4453,definition,(
% 1.98/0.66 spl463_490 <=> (notinemptyset = $true)),
% 1.98/0.66 introduced(definition,[new_symbols(definition,[spl463_490])],[avatar_definition])).
% 1.98/0.66 thf(f4682,definition,(
% 1.98/0.66 spl463_538 <=> (sK350 = sK352)),
% 1.98/0.66 introduced(definition,[new_symbols(definition,[spl463_538])],[avatar_definition])).
% 1.98/0.66 thf(f4685,plain,(
% 1.98/0.66 ~spl463_538),
% 1.98/0.66 inference(avatar_split_clause,[],[f1832,f4682])).
% 1.98/0.66 thf(f5035,plain,(
% 1.98/0.66 spl463_72),
% 1.98/0.66 inference(avatar_split_clause,[],[f1853,f2532])).
% 1.98/0.66 thf(f5311,plain,(
% 1.98/0.66 ~spl463_490 | spl463_287),
% 1.98/0.66 inference(avatar_split_clause,[],[f1245,f3497,f4453])).
% 1.98/0.66 thf(f5374,definition,(
% 1.98/0.66 spl463_677 <=> ! [X3 : $i] : (((setadjoin @ X3 @ emptyset)) = ((setadjoin @ X3 @ (setadjoin @ X3 @ emptyset))))),
% 1.98/0.66 introduced(definition,[new_symbols(definition,[spl463_677])],[avatar_definition])).
% 1.98/0.66 thf(f5375,plain,(
% 1.98/0.66 ( ! [X3 : $i] : ((((setadjoin @ X3 @ emptyset)) = ((setadjoin @ X3 @ (setadjoin @ X3 @ emptyset))))) ) | ~spl463_677),
% 1.98/0.66 inference(avatar_component_clause,[],[f5374])).
% 1.98/0.66 thf(f5377,definition,(
% 1.98/0.66 spl463_678 <=> (setukpairinjR11 = $true)),
% 1.98/0.66 introduced(definition,[new_symbols(definition,[spl463_678])],[avatar_definition])).
% 1.98/0.66 thf(f5380,plain,(
% 1.98/0.66 spl463_677 | ~spl463_678),
% 1.98/0.66 inference(avatar_split_clause,[],[f2073,f5377,f5374])).
% 1.98/0.66 thf(f5401,definition,(
% 1.98/0.66 spl463_683 <=> ! [X0 : $i] : (((setunion @ (setadjoin @ X0 @ emptyset))) = X0)),
% 1.98/0.66 introduced(definition,[new_symbols(definition,[spl463_683])],[avatar_definition])).
% 1.98/0.66 thf(f5402,plain,(
% 1.98/0.66 ( ! [X0 : $i] : ((((setunion @ (setadjoin @ X0 @ emptyset))) = X0)) ) | ~spl463_683),
% 1.98/0.66 inference(avatar_component_clause,[],[f5401])).
% 1.98/0.66 thf(f5403,plain,(
% 1.98/0.66 ~spl463_217 | spl463_683),
% 1.98/0.66 inference(avatar_split_clause,[],[f1481,f5401,f3183])).
% 1.98/0.66 thf(f5492,plain,(
% 1.98/0.66 spl463_374),
% 1.98/0.66 inference(avatar_split_clause,[],[f1812,f3904])).
% 1.98/0.66 thf(f5556,plain,(
% 1.98/0.66 spl463_490),
% 1.98/0.66 inference(avatar_split_clause,[],[f1767,f4453])).
% 1.98/0.66 thf(f5683,plain,(
% 1.98/0.66 spl463_678),
% 1.98/0.66 inference(avatar_split_clause,[],[f1847,f5377])).
% 1.98/0.66 thf(f5909,plain,(
% 1.98/0.66 (((setadjoin @ (setadjoin @ sK353 @ emptyset) @ (setadjoin @ (setadjoin @ sK353 @ (setadjoin @ sK353 @ emptyset)) @ emptyset))) = ((setadjoin @ (setadjoin @ sK351 @ emptyset) @ (setadjoin @ (setadjoin @ sK351 @ (setadjoin @ sK350 @ emptyset)) @ emptyset)))) | (~spl463_303 | ~spl463_406)),
% 1.98/0.66 inference(forward_demodulation,[],[f4056,f3572])).
% 1.98/0.66 thf(f5911,definition,(
% 1.98/0.66 spl463_778 <=> (((setadjoin @ (setadjoin @ sK353 @ emptyset) @ (setadjoin @ (setadjoin @ sK353 @ (setadjoin @ sK353 @ emptyset)) @ emptyset))) = ((setadjoin @ (setadjoin @ sK351 @ emptyset) @ (setadjoin @ (setadjoin @ sK351 @ (setadjoin @ sK350 @ emptyset)) @ emptyset))))),
% 1.98/0.66 introduced(definition,[new_symbols(definition,[spl463_778])],[avatar_definition])).
% 1.98/0.66 thf(f5913,plain,(
% 1.98/0.66 (((setadjoin @ (setadjoin @ sK353 @ emptyset) @ (setadjoin @ (setadjoin @ sK353 @ (setadjoin @ sK353 @ emptyset)) @ emptyset))) = ((setadjoin @ (setadjoin @ sK351 @ emptyset) @ (setadjoin @ (setadjoin @ sK351 @ (setadjoin @ sK350 @ emptyset)) @ emptyset)))) | ~spl463_778),
% 1.98/0.66 inference(avatar_component_clause,[],[f5911])).
% 1.98/0.66 thf(f5914,plain,(
% 1.98/0.66 spl463_778 | ~spl463_303 | ~spl463_406),
% 1.98/0.66 inference(avatar_split_clause,[],[f5909,f4054,f3570,f5911])).
% 1.98/0.66 thf(f8085,plain,(
% 1.98/0.66 (((in @ sK350 @ (setunion @ (setadjoin @ (setadjoin @ sK353 @ emptyset) @ (setadjoin @ (setadjoin @ sK353 @ (setadjoin @ sK353 @ emptyset)) @ emptyset))))) = $true) | (~spl463_375 | ~spl463_778)),
% 1.98/0.66 inference(superposition,[],[f3909,f5913])).
% 1.98/0.66 thf(f8096,plain,(
% 1.98/0.66 (((in @ sK350 @ (setunion @ (setadjoin @ (setadjoin @ sK353 @ emptyset) @ (setadjoin @ (setadjoin @ sK353 @ emptyset) @ emptyset))))) = $true) | (~spl463_375 | ~spl463_677 | ~spl463_778)),
% 1.98/0.66 inference(forward_demodulation,[],[f8085,f5375])).
% 1.98/0.66 thf(f8099,definition,(
% 1.98/0.66 spl463_810 <=> (((in @ sK350 @ (setadjoin @ sK353 @ emptyset))) = $true)),
% 1.98/0.66 introduced(definition,[new_symbols(definition,[spl463_810])],[avatar_definition])).
% 1.98/0.66 thf(f8101,plain,(
% 1.98/0.66 (((in @ sK350 @ (setadjoin @ sK353 @ emptyset))) = $true) | ~spl463_810),
% 1.98/0.66 inference(avatar_component_clause,[],[f8099])).
% 1.98/0.66 thf(f8105,plain,(
% 1.98/0.66 (((in @ sK350 @ (setunion @ (setadjoin @ (setadjoin @ sK353 @ emptyset) @ emptyset)))) = $true) | (~spl463_375 | ~spl463_677 | ~spl463_778)),
% 1.98/0.66 inference(forward_demodulation,[],[f8096,f5375])).
% 1.98/0.66 thf(f8108,plain,(
% 1.98/0.66 (((in @ sK350 @ (setadjoin @ sK353 @ emptyset))) = $true) | (~spl463_375 | ~spl463_677 | ~spl463_683 | ~spl463_778)),
% 1.98/0.66 inference(forward_demodulation,[],[f8105,f5402])).
% 1.98/0.66 thf(f8110,plain,(
% 1.98/0.66 spl463_810 | ~spl463_375 | ~spl463_677 | ~spl463_683 | ~spl463_778),
% 1.98/0.66 inference(avatar_split_clause,[],[f8108,f5911,f5401,f5374,f3908,f8099])).
% 1.98/0.66 thf(f8113,plain,(
% 1.98/0.66 ($true != $true) | (((in @ sK350 @ emptyset)) = $true) | (sK350 = sK353) | (~spl463_154 | ~spl463_810)),
% 1.98/0.66 inference(superposition,[],[f2901,f8101])).
% 1.98/0.66 thf(f8118,plain,(
% 1.98/0.66 (((in @ sK350 @ emptyset)) = $true) | (sK350 = sK353) | (~spl463_154 | ~spl463_810)),
% 1.98/0.66 inference(trivial_inequality_removal,[],[f8113])).
% 1.98/0.66 thf(f8121,definition,(
% 1.98/0.66 spl463_811 <=> (sK350 = sK353)),
% 1.98/0.66 introduced(definition,[new_symbols(definition,[spl463_811])],[avatar_definition])).
% 1.98/0.66 thf(f8130,plain,(
% 1.98/0.66 (sK350 = sK353) | (~spl463_154 | ~spl463_287 | ~spl463_810)),
% 1.98/0.66 inference(forward_subsumption_resolution,[],[f8118,f3498])).
% 1.98/0.66 thf(f8136,plain,(
% 1.98/0.66 spl463_811 | ~spl463_154 | ~spl463_287 | ~spl463_810),
% 1.98/0.66 inference(avatar_split_clause,[],[f8130,f8099,f3497,f2900,f8121])).
% 1.98/0.66 thf(f8137,definition,(
% 1.98/0.66 (sK350 != sK353) | (sK353 != sK352) | (sK350 = sK352)),
% 1.98/0.66 introduced(theory,[theory_tautology_sat_conflict])).
% 1.98/0.66 cnf(s218, plain, spl463_303, inference(sat_conversion,[],[f3573])).
% 1.98/0.66 cnf(s267, plain, spl463_217, inference(sat_conversion,[],[f3780])).
% 1.98/0.66 cnf(s292, plain, ~spl463_374 | spl463_375, inference(sat_conversion,[],[f3910])).
% 1.98/0.66 cnf(s324, plain, spl463_406, inference(sat_conversion,[],[f4057])).
% 1.98/0.66 cnf(s403, plain, ~spl463_72 | spl463_154, inference(sat_conversion,[],[f4381])).
% 1.98/0.66 cnf(s474, plain, ~spl463_538, inference(sat_conversion,[],[f4685])).
% 1.98/0.66 cnf(s567, plain, spl463_72, inference(sat_conversion,[],[f5035])).
% 1.98/0.66 cnf(s647, plain, spl463_287 | ~spl463_490, inference(sat_conversion,[],[f5311])).
% 1.98/0.66 cnf(s666, plain, spl463_677 | ~spl463_678, inference(sat_conversion,[],[f5380])).
% 1.98/0.66 cnf(s673, plain, ~spl463_217 | spl463_683, inference(sat_conversion,[],[f5403])).
% 1.98/0.66 cnf(s696, plain, spl463_374, inference(sat_conversion,[],[f5492])).
% 1.98/0.66 cnf(s715, plain, spl463_490, inference(sat_conversion,[],[f5556])).
% 1.98/0.66 cnf(s748, plain, spl463_678, inference(sat_conversion,[],[f5683])).
% 1.98/0.66 cnf(s798, plain, ~spl463_303 | ~spl463_406 | spl463_778, inference(sat_conversion,[],[f5914])).
% 1.98/0.66 cnf(s845, plain, ~spl463_375 | ~spl463_677 | ~spl463_683 | ~spl463_778 | spl463_810, inference(sat_conversion,[],[f8110])).
% 1.98/0.66 cnf(s849, plain, ~spl463_154 | ~spl463_287 | ~spl463_810 | spl463_811, inference(sat_conversion,[],[f8136])).
% 1.98/0.66 cnf(s850, plain, ~spl463_303 | spl463_538 | ~spl463_811, inference(sat_conversion,[],[f8137])).
% 1.98/0.66 cnf(s855, plain, spl463_677, inference(rat,[],[s666,s748])).
% 1.98/0.66 cnf(s858, plain, spl463_287, inference(rat,[],[s647,s715])).
% 1.98/0.66 cnf(s900, plain, spl463_154, inference(rat,[],[s403,s567])).
% 1.98/0.66 cnf(s934, plain, spl463_375, inference(rat,[],[s292,s696])).
% 1.98/0.66 cnf(s942, plain, spl463_683, inference(rat,[],[s673,s267])).
% 1.98/0.66 cnf(s965, plain, ~spl463_811, inference(rat,[],[s850,s474,s218])).
% 1.98/0.66 cnf(s966, plain, spl463_778, inference(rat,[],[s798,s324,s218])).
% 1.98/0.66 cnf(s967, plain, ~spl463_810, inference(rat,[],[s849,s900,s858,s965])).
% 1.98/0.66 cnf(s970, plain, $false, inference(rat,[],[s845,s942,s934,s855,s967,s966])).
% 1.98/0.66 thf(f8138,plain,(
% 1.98/0.66 $false),
% 1.98/0.66 inference(avatar_sat_refutation,[],[s970])).
% 1.98/0.66 % SZS output end Proof for theBenchmark
% 1.98/0.66 % (1334708)------------------------------
% 1.98/0.66 % (1334708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.66 % (1334708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.66 % (1334708)CaDiCaL version: 2.1.3
% 1.98/0.66 % (1334708)Termination reason: Refutation
% 1.98/0.66 % (1334708)Time elapsed: 0.285 s
% 1.98/0.66 % (1334708)Peak memory usage: 19 MB
% 1.98/0.66 % (1334708)Instructions burned: 407 (million)
% 1.98/0.66 % (1334700)Success in time 0.339 s
% 1.98/0.66 % Vampire exiting
%------------------------------------------------------------------------------