%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU797^1 : 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 : n008.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 08:31:26 AM UTC 2026
% Result : Theorem 3.33s 0.91s
% Output : Refutation 3.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU797^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 % Computer : n008.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Tue Sep 29 14:32:09 UTC 2026
% 0.11/0.21 % CPUTime :
% 0.11/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 Running higher-order theorem proving
% 0.22/0.33 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
% 0.77/0.48 % (3240436)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.77/0.48 % (3240465)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1521288389:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.77/0.48 % (3240466)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.77/0.48 % (3240466)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
% 0.77/0.48 % (3240459)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4202872278:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.77/0.48 % (3240461)lrs+10_16_si=on:nwc=1.5:random_seed=3494652027:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.77/0.48 % (3240462)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3489802478:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.77/0.48 % (3240463)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=3222349239: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)
% 0.77/0.48 % (3240464)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1347617455:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.77/0.48 % (3240466)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=3040511078:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.77/0.48 % (3240462)Instruction limit reached!
% 0.77/0.48 % (3240462)------------------------------
% 0.77/0.48 % (3240462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.48 % (3240462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.48 % (3240462)CaDiCaL version: 2.1.3
% 0.77/0.48 % (3240462)Termination reason: Instruction limit
% 0.77/0.48 % (3240462)Termination phase: shuffling
% 0.77/0.48 % (3240462)Time elapsed: 0.002 s
% 0.77/0.48 % (3240462)Peak memory usage: 10 MB
% 0.77/0.48 % (3240462)Instructions burned: 3 (million)
% 0.77/0.48 % (3240461)Instruction limit reached!
% 0.77/0.48 % (3240461)------------------------------
% 0.77/0.48 % (3240461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.48 % (3240461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.48 % (3240461)CaDiCaL version: 2.1.3
% 0.77/0.48 % (3240461)Termination reason: Instruction limit
% 0.77/0.48 % (3240461)Termination phase: shuffling
% 0.77/0.48 % (3240461)Time elapsed: 0.008 s
% 0.77/0.48 % (3240461)Peak memory usage: 10 MB
% 0.77/0.48 % (3240461)Instructions burned: 18 (million)
% 0.77/0.48 % (3240465)Instruction limit reached!
% 0.77/0.48 % (3240465)------------------------------
% 0.77/0.48 % (3240465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.48 % (3240465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.48 % (3240465)CaDiCaL version: 2.1.3
% 0.77/0.48 % (3240465)Termination reason: Instruction limit
% 0.77/0.48 % (3240465)Termination phase: Preprocessing 2
% 0.77/0.48 % (3240465)Time elapsed: 0.018 s
% 0.77/0.48 % (3240465)Peak memory usage: 11 MB
% 0.77/0.48 % (3240465)Instructions burned: 76 (million)
% 0.77/0.48 % (3240464)Instruction limit reached!
% 0.77/0.48 % (3240464)------------------------------
% 0.77/0.48 % (3240464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.48 % (3240464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.48 % (3240464)CaDiCaL version: 2.1.3
% 0.77/0.48 % (3240464)Termination reason: Instruction limit
% 0.77/0.48 % (3240464)Termination phase: shuffling
% 0.77/0.48 % (3240464)Time elapsed: 0.011 s
% 0.77/0.48 % (3240464)Peak memory usage: 10 MB
% 0.77/0.48 % (3240464)Instructions burned: 25 (million)
% 0.77/0.48 % (3240489)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.77/0.48 % (3240489)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2944168122:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.77/0.52 % (3240484)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2774628440:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.77/0.52 % (3240489)Instruction limit reached!
% 0.77/0.52 % (3240489)------------------------------
% 0.77/0.52 % (3240489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.52 % (3240489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.52 % (3240489)CaDiCaL version: 2.1.3
% 0.77/0.52 % (3240489)Termination reason: Instruction limit
% 0.77/0.52 % (3240489)Termination phase: shuffling
% 0.77/0.52 % (3240489)Time elapsed: 0.002 s
% 0.77/0.52 % (3240489)Peak memory usage: 10 MB
% 0.77/0.52 % (3240489)Instructions burned: 8 (million)
% 0.77/0.52 % (3240484)Instruction limit reached!
% 0.77/0.52 % (3240484)------------------------------
% 0.77/0.52 % (3240484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.52 % (3240484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.52 % (3240484)CaDiCaL version: 2.1.3
% 0.77/0.52 % (3240484)Termination reason: Instruction limit
% 0.77/0.52 % (3240484)Termination phase: shuffling
% 0.77/0.52 % (3240484)Time elapsed: 0.002 s
% 0.77/0.52 % (3240484)Peak memory usage: 10 MB
% 0.77/0.52 % (3240484)Instructions burned: 3 (million)
% 0.77/0.52 % (3240487)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3799673219:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.77/0.52 % (3240490)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3101831011:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.77/0.52 % (3240487)Instruction limit reached!
% 0.77/0.52 % (3240487)------------------------------
% 0.77/0.52 % (3240487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.52 % (3240487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.52 % (3240487)CaDiCaL version: 2.1.3
% 0.77/0.52 % (3240487)Termination reason: Instruction limit
% 0.77/0.52 % (3240487)Termination phase: shuffling
% 0.77/0.52 % (3240487)Time elapsed: 0.003 s
% 0.77/0.52 % (3240487)Peak memory usage: 10 MB
% 0.77/0.52 % (3240487)Instructions burned: 6 (million)
% 0.77/0.52 % (3240502)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=3611480500:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.77/0.52 % (3240490)Instruction limit reached!
% 0.77/0.52 % (3240490)------------------------------
% 0.77/0.52 % (3240490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.52 % (3240490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.52 % (3240490)CaDiCaL version: 2.1.3
% 0.77/0.52 % (3240490)Termination reason: Instruction limit
% 0.77/0.52 % (3240490)Termination phase: shuffling
% 0.77/0.52 % (3240490)Time elapsed: 0.007 s
% 0.77/0.52 % (3240490)Peak memory usage: 10 MB
% 0.77/0.52 % (3240490)Instructions burned: 14 (million)
% 0.77/0.52 % (3240459)Instruction limit reached!
% 0.77/0.52 % (3240459)------------------------------
% 0.77/0.52 % (3240459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.52 % (3240459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.52 % (3240459)CaDiCaL version: 2.1.3
% 0.77/0.52 % (3240459)Termination reason: Instruction limit
% 0.77/0.52 % (3240459)Termination phase: Preprocessing 3
% 0.77/0.52 % (3240459)Time elapsed: 0.040 s
% 0.77/0.52 % (3240459)Peak memory usage: 12 MB
% 0.77/0.52 % (3240459)Instructions burned: 88 (million)
% 0.77/0.52 % (3240501)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
% 0.77/0.52 % (3240501)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.77/0.52 % (3240501)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=884869189:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.77/0.52 % (3240507)lrs+10_1_si=on:cs=on:random_seed=4166255883:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.77/0.52 % (3240507)Instruction limit reached!
% 0.77/0.55 % (3240507)------------------------------
% 0.77/0.55 % (3240507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.55 % (3240507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.55 % (3240507)CaDiCaL version: 2.1.3
% 0.77/0.55 % (3240507)Termination reason: Instruction limit
% 0.77/0.55 % (3240507)Termination phase: shuffling
% 0.77/0.55 % (3240507)Time elapsed: 0.004 s
% 0.77/0.55 % (3240507)Peak memory usage: 10 MB
% 0.77/0.55 % (3240507)Instructions burned: 8 (million)
% 0.77/0.55 % (3240509)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.77/0.55 % (3240502)Instruction limit reached!
% 0.77/0.55 % (3240502)------------------------------
% 0.77/0.55 % (3240502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.55 % (3240502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.55 % (3240502)CaDiCaL version: 2.1.3
% 0.77/0.55 % (3240502)Termination reason: Instruction limit
% 0.77/0.55 % (3240502)Termination phase: Property scanning
% 0.77/0.55 % (3240502)Time elapsed: 0.021 s
% 0.77/0.55 % (3240502)Peak memory usage: 11 MB
% 0.77/0.55 % (3240502)Instructions burned: 89 (million)
% 0.77/0.55 % (3240501)Instruction limit reached!
% 0.77/0.55 % (3240501)------------------------------
% 0.77/0.55 % (3240501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.55 % (3240501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.55 % (3240501)CaDiCaL version: 2.1.3
% 0.77/0.55 % (3240501)Termination reason: Instruction limit
% 0.77/0.55 % (3240501)Termination phase: shuffling
% 0.77/0.55 % (3240501)Time elapsed: 0.014 s
% 0.77/0.55 % (3240501)Peak memory usage: 11 MB
% 0.77/0.55 % (3240501)Instructions burned: 30 (million)
% 0.77/0.55 % (3240509)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=2240391784:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.77/0.55 % (3240510)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2394783899:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.77/0.55 % (3240509)Instruction limit reached!
% 0.77/0.55 % (3240509)------------------------------
% 0.77/0.55 % (3240509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.55 % (3240509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.55 % (3240509)CaDiCaL version: 2.1.3
% 0.77/0.55 % (3240509)Termination reason: Instruction limit
% 0.77/0.55 % (3240509)Termination phase: shuffling
% 0.77/0.55 % (3240509)Time elapsed: 0.002 s
% 0.77/0.55 % (3240509)Peak memory usage: 10 MB
% 0.77/0.55 % (3240509)Instructions burned: 3 (million)
% 0.77/0.55 % (3240466)Instruction limit reached!
% 0.77/0.55 % (3240466)------------------------------
% 0.77/0.55 % (3240466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.55 % (3240466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.55 % (3240466)CaDiCaL version: 2.1.3
% 0.77/0.55 % (3240466)Termination reason: Instruction limit
% 0.77/0.55 % (3240466)Termination phase: Twee Goal Transformation
% 0.77/0.55 % (3240466)Time elapsed: 0.067 s
% 0.77/0.55 % (3240466)Peak memory usage: 12 MB
% 0.77/0.55 % (3240466)Instructions burned: 158 (million)
% 0.77/0.55 % (3240520)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=36727964:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.77/0.55 % (3240520)Instruction limit reached!
% 0.77/0.55 % (3240520)------------------------------
% 0.77/0.55 % (3240520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.55 % (3240520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.55 % (3240520)CaDiCaL version: 2.1.3
% 0.77/0.55 % (3240520)Termination reason: Instruction limit
% 0.77/0.55 % (3240520)Termination phase: shuffling
% 0.77/0.55 % (3240520)Time elapsed: 0.006 s
% 0.77/0.55 % (3240520)Peak memory usage: 10 MB
% 0.77/0.55 % (3240520)Instructions burned: 26 (million)
% 0.77/0.55 % (3240519)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=297342313:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.77/0.55 % (3240521)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2565643943:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.49/0.63 % (3240510)Instruction limit reached!
% 1.49/0.63 % (3240510)------------------------------
% 1.49/0.63 % (3240510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.63 % (3240510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.63 % (3240510)CaDiCaL version: 2.1.3
% 1.49/0.63 % (3240510)Termination reason: Instruction limit
% 1.49/0.63 % (3240510)Termination phase: Property scanning
% 1.49/0.63 % (3240510)Time elapsed: 0.017 s
% 1.49/0.63 % (3240510)Peak memory usage: 11 MB
% 1.49/0.63 % (3240510)Instructions burned: 38 (million)
% 1.49/0.63 % (3240526)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3134215680:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.49/0.63 % (3240521)Instruction limit reached!
% 1.49/0.63 % (3240521)------------------------------
% 1.49/0.63 % (3240521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.63 % (3240521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.63 % (3240521)CaDiCaL version: 2.1.3
% 1.49/0.63 % (3240521)Termination reason: Instruction limit
% 1.49/0.63 % (3240521)Termination phase: shuffling
% 1.49/0.63 % (3240521)Time elapsed: 0.007 s
% 1.49/0.63 % (3240521)Peak memory usage: 10 MB
% 1.49/0.63 % (3240521)Instructions burned: 14 (million)
% 1.49/0.63 % (3240532)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3066215229: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)
% 1.49/0.63 % (3240528)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2290683370:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.49/0.63 % (3240532)Instruction limit reached!
% 1.49/0.63 % (3240532)------------------------------
% 1.49/0.63 % (3240532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.63 % (3240532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.63 % (3240532)CaDiCaL version: 2.1.3
% 1.49/0.63 % (3240532)Termination reason: Instruction limit
% 1.49/0.63 % (3240532)Termination phase: shuffling
% 1.49/0.63 % (3240532)Time elapsed: 0.001 s
% 1.49/0.63 % (3240532)Peak memory usage: 10 MB
% 1.49/0.63 % (3240532)Instructions burned: 3 (million)
% 1.49/0.63 % (3240528)Instruction limit reached!
% 1.49/0.63 % (3240528)------------------------------
% 1.49/0.63 % (3240528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.63 % (3240528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.63 % (3240528)CaDiCaL version: 2.1.3
% 1.49/0.63 % (3240528)Termination reason: Instruction limit
% 1.49/0.63 % (3240528)Termination phase: shuffling
% 1.49/0.63 % (3240528)Time elapsed: 0.007 s
% 1.49/0.63 % (3240528)Peak memory usage: 10 MB
% 1.49/0.63 % (3240528)Instructions burned: 15 (million)
% 1.49/0.63 % (3240544)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1792374100:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.49/0.63 % (3240536)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3256573414:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.49/0.63 % (3240542)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3252815019:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.49/0.63 % (3240548)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
% 1.49/0.63 % (3240548)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.49/0.63 % (3240536)Instruction limit reached!
% 1.49/0.63 % (3240536)------------------------------
% 1.49/0.63 % (3240536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.63 % (3240536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.63 % (3240536)CaDiCaL version: 2.1.3
% 1.49/0.63 % (3240536)Termination reason: Instruction limit
% 1.49/0.63 % (3240536)Termination phase: shuffling
% 1.49/0.63 % (3240536)Time elapsed: 0.013 s
% 1.49/0.63 % (3240536)Peak memory usage: 11 MB
% 1.76/0.68 % (3240536)Instructions burned: 28 (million)
% 1.76/0.68 % (3240544)Instruction limit reached!
% 1.76/0.68 % (3240544)------------------------------
% 1.76/0.68 % (3240544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.68 % (3240544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.68 % (3240544)CaDiCaL version: 2.1.3
% 1.76/0.68 % (3240544)Termination reason: Instruction limit
% 1.76/0.68 % (3240544)Termination phase: Naming
% 1.76/0.68 % (3240544)Time elapsed: 0.015 s
% 1.76/0.68 % (3240544)Peak memory usage: 12 MB
% 1.76/0.68 % (3240544)Instructions burned: 62 (million)
% 1.76/0.68 % (3240548)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=1626420891:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.76/0.68 % (3240542)Instruction limit reached!
% 1.76/0.68 % (3240542)------------------------------
% 1.76/0.68 % (3240542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.68 % (3240542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.68 % (3240542)CaDiCaL version: 2.1.3
% 1.76/0.68 % (3240542)Termination reason: Instruction limit
% 1.76/0.68 % (3240542)Termination phase: shuffling
% 1.76/0.68 % (3240542)Time elapsed: 0.010 s
% 1.76/0.68 % (3240542)Peak memory usage: 10 MB
% 1.76/0.68 % (3240542)Instructions burned: 23 (million)
% 1.76/0.68 % (3240548)Instruction limit reached!
% 1.76/0.68 % (3240548)------------------------------
% 1.76/0.68 % (3240548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.68 % (3240548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.68 % (3240548)CaDiCaL version: 2.1.3
% 1.76/0.68 % (3240548)Termination reason: Instruction limit
% 1.76/0.68 % (3240548)Termination phase: shuffling
% 1.76/0.68 % (3240548)Time elapsed: 0.007 s
% 1.76/0.68 % (3240548)Peak memory usage: 10 MB
% 1.76/0.68 % (3240548)Instructions burned: 15 (million)
% 1.76/0.68 % (3240557)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.76/0.68 % (3240557)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=279692770:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.76/0.68 % (3240558)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=580082268:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.76/0.68 % (3240560)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3347623765:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.76/0.68 % (3240560)Instruction limit reached!
% 1.76/0.68 % (3240560)------------------------------
% 1.76/0.68 % (3240560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.68 % (3240557)Instruction limit reached!
% 1.76/0.68 % (3240557)------------------------------
% 1.76/0.68 % (3240557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.68 % (3240557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.68 % (3240560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.68 % (3240560)CaDiCaL version: 2.1.3
% 1.76/0.68 % (3240557)CaDiCaL version: 2.1.3
% 1.76/0.68 % (3240560)Termination reason: Instruction limit
% 1.76/0.68 % (3240560)Termination phase: shuffling
% 1.76/0.68 % (3240557)Termination reason: Instruction limit
% 1.76/0.68 % (3240557)Termination phase: shuffling
% 1.76/0.68 % (3240560)Time elapsed: 0.002 s
% 1.76/0.68 % (3240557)Time elapsed: 0.004 s
% 1.76/0.68 % (3240560)Peak memory usage: 10 MB
% 1.76/0.68 % (3240557)Peak memory usage: 10 MB
% 1.76/0.68 % (3240557)Instructions burned: 8 (million)
% 1.76/0.68 % (3240560)Instructions burned: 8 (million)
% 1.76/0.68 % (3240563)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1682182584:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.76/0.68 % (3240558)Instruction limit reached!
% 1.76/0.68 % (3240558)------------------------------
% 1.76/0.68 % (3240558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.68 % (3240558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.68 % (3240558)CaDiCaL version: 2.1.3
% 2.10/0.74 % (3240558)Termination reason: Instruction limit
% 2.10/0.74 % (3240558)Termination phase: shuffling
% 2.10/0.74 % (3240558)Time elapsed: 0.014 s
% 2.10/0.74 % (3240558)Peak memory usage: 11 MB
% 2.10/0.74 % (3240558)Instructions burned: 31 (million)
% 2.10/0.74 % (3240571)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3538502418:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.10/0.74 % (3240563)Instruction limit reached!
% 2.10/0.74 % (3240563)------------------------------
% 2.10/0.74 % (3240563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.74 % (3240563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.74 % (3240563)CaDiCaL version: 2.1.3
% 2.10/0.74 % (3240563)Termination reason: Instruction limit
% 2.10/0.74 % (3240563)Termination phase: shuffling
% 2.10/0.74 % (3240563)Time elapsed: 0.011 s
% 2.10/0.74 % (3240563)Peak memory usage: 10 MB
% 2.10/0.74 % (3240563)Instructions burned: 24 (million)
% 2.10/0.74 % (3240570)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=481958328:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.10/0.74 % (3240570)Instruction limit reached!
% 2.10/0.74 % (3240570)------------------------------
% 2.10/0.74 % (3240570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.74 % (3240570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.74 % (3240570)CaDiCaL version: 2.1.3
% 2.10/0.74 % (3240570)Termination reason: Instruction limit
% 2.10/0.74 % (3240570)Termination phase: shuffling
% 2.10/0.74 % (3240570)Time elapsed: 0.010 s
% 2.10/0.74 % (3240570)Peak memory usage: 10 MB
% 2.10/0.74 % (3240570)Instructions burned: 21 (million)
% 2.10/0.74 % (3240574)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1182126078:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.10/0.74 % (3240577)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2496997325:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.10/0.74 % (3240519)Instruction limit reached!
% 2.10/0.74 % (3240519)------------------------------
% 2.10/0.74 % (3240519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.74 % (3240519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.74 % (3240519)CaDiCaL version: 2.1.3
% 2.10/0.74 % (3240519)Termination reason: Instruction limit
% 2.10/0.74 % (3240519)Termination phase: Saturation
% 2.10/0.74 % (3240519)Time elapsed: 0.105 s
% 2.10/0.74 % (3240519)Peak memory usage: 14 MB
% 2.10/0.74 % (3240519)Instructions burned: 250 (million)
% 2.10/0.74 % (3240582)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=891946958:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.10/0.74 % (3240592)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.10/0.74 % (3240592)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1343061496:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.10/0.74 % (3240582)Instruction limit reached!
% 2.10/0.74 % (3240582)------------------------------
% 2.10/0.74 % (3240582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.74 % (3240582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.74 % (3240582)CaDiCaL version: 2.1.3
% 2.10/0.74 % (3240582)Termination reason: Instruction limit
% 2.10/0.74 % (3240582)Termination phase: shuffling
% 2.10/0.74 % (3240582)Time elapsed: 0.019 s
% 2.10/0.74 % (3240582)Peak memory usage: 11 MB
% 2.10/0.74 % (3240582)Instructions burned: 43 (million)
% 2.10/0.74 % (3240592)Instruction limit reached!
% 2.10/0.74 % (3240592)------------------------------
% 2.10/0.74 % (3240592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.74 % (3240592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.74 % (3240592)CaDiCaL version: 2.1.3
% 2.10/0.74 % (3240592)Termination reason: Instruction limit
% 2.10/0.74 % (3240592)Termination phase: shuffling
% 2.10/0.74 % (3240592)Time elapsed: 0.004 s
% 2.10/0.74 % (3240592)Peak memory usage: 10 MB
% 2.10/0.74 % (3240592)Instructions burned: 9 (million)
% 2.10/0.74 % (3240526)Instruction limit reached!
% 2.10/0.74 % (3240526)------------------------------
% 2.10/0.74 % (3240526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.82 % (3240526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.82 % (3240526)CaDiCaL version: 2.1.3
% 2.51/0.82 % (3240526)Termination reason: Instruction limit
% 2.51/0.82 % (3240526)Termination phase: Saturation
% 2.51/0.82 % (3240526)Time elapsed: 0.139 s
% 2.51/0.82 % (3240526)Peak memory usage: 15 MB
% 2.51/0.82 % (3240526)Instructions burned: 327 (million)
% 2.51/0.82 % (3240600)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2753973671:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.51/0.82 % (3240601)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=914148338:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.51/0.82 % (3240574)Instruction limit reached!
% 2.51/0.82 % (3240574)------------------------------
% 2.51/0.82 % (3240574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.82 % (3240574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.82 % (3240574)CaDiCaL version: 2.1.3
% 2.51/0.82 % (3240574)Termination reason: Instruction limit
% 2.51/0.82 % (3240574)Termination phase: Twee Goal Transformation
% 2.51/0.82 % (3240574)Time elapsed: 0.060 s
% 2.51/0.82 % (3240574)Peak memory usage: 12 MB
% 2.51/0.82 % (3240574)Instructions burned: 143 (million)
% 2.51/0.82 % (3240606)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.51/0.82 % (3240606)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=4279707229:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.51/0.82 % (3240612)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1388896795:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.51/0.82 % (3240606)Instruction limit reached!
% 2.51/0.82 % (3240606)------------------------------
% 2.51/0.82 % (3240606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.82 % (3240606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.82 % (3240606)CaDiCaL version: 2.1.3
% 2.51/0.82 % (3240606)Termination reason: Instruction limit
% 2.51/0.82 % (3240606)Termination phase: shuffling
% 2.51/0.82 % (3240606)Time elapsed: 0.003 s
% 2.51/0.82 % (3240606)Peak memory usage: 10 MB
% 2.51/0.82 % (3240606)Instructions burned: 6 (million)
% 2.51/0.82 % (3240577)Instruction limit reached!
% 2.51/0.82 % (3240577)------------------------------
% 2.51/0.82 % (3240577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.82 % (3240577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.82 % (3240577)CaDiCaL version: 2.1.3
% 2.51/0.82 % (3240577)Termination reason: Instruction limit
% 2.51/0.82 % (3240577)Termination phase: Property scanning
% 2.51/0.82 % (3240577)Time elapsed: 0.080 s
% 2.51/0.82 % (3240577)Peak memory usage: 13 MB
% 2.51/0.82 % (3240577)Instructions burned: 193 (million)
% 2.51/0.82 % (3240612)Instruction limit reached!
% 2.51/0.82 % (3240612)------------------------------
% 2.51/0.82 % (3240612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.82 % (3240612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.82 % (3240612)CaDiCaL version: 2.1.3
% 2.51/0.82 % (3240612)Termination reason: Instruction limit
% 2.51/0.82 % (3240612)Termination phase: shuffling
% 2.51/0.82 % (3240612)Time elapsed: 0.010 s
% 2.51/0.82 % (3240612)Peak memory usage: 10 MB
% 2.51/0.82 % (3240612)Instructions burned: 23 (million)
% 2.51/0.82 % (3240627)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3406705872:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.51/0.82 % (3240631)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=867547525:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.51/0.82 % (3240627)Instruction limit reached!
% 2.51/0.82 % (3240627)------------------------------
% 2.51/0.82 % (3240627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.82 % (3240627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.90 % (3240627)CaDiCaL version: 2.1.3
% 2.51/0.90 % (3240627)Termination reason: Instruction limit
% 2.51/0.90 % (3240627)Termination phase: shuffling
% 2.51/0.90 % (3240627)Time elapsed: 0.008 s
% 2.51/0.90 % (3240627)Peak memory usage: 10 MB
% 2.51/0.90 % (3240627)Instructions burned: 19 (million)
% 2.51/0.90 % (3240636)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=2622402535:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.51/0.90 % (3240649)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=1727359068:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.51/0.90 % (3240601)Instruction limit reached!
% 2.51/0.90 % (3240601)------------------------------
% 2.51/0.90 % (3240601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.90 % (3240601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.90 % (3240601)CaDiCaL version: 2.1.3
% 2.51/0.90 % (3240601)Termination reason: Instruction limit
% 2.51/0.90 % (3240601)Termination phase: Property scanning
% 2.51/0.90 % (3240601)Time elapsed: 0.070 s
% 2.51/0.90 % (3240601)Peak memory usage: 12 MB
% 2.51/0.90 % (3240601)Instructions burned: 170 (million)
% 2.51/0.90 % (3240600)Instruction limit reached!
% 2.51/0.90 % (3240600)------------------------------
% 2.51/0.90 % (3240600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.90 % (3240600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.90 % (3240600)CaDiCaL version: 2.1.3
% 2.51/0.90 % (3240600)Termination reason: Instruction limit
% 2.51/0.90 % (3240600)Termination phase: Property scanning
% 2.51/0.90 % (3240600)Time elapsed: 0.075 s
% 2.51/0.90 % (3240600)Peak memory usage: 12 MB
% 2.51/0.90 % (3240600)Instructions burned: 181 (million)
% 2.51/0.90 % (3240649)Instruction limit reached!
% 2.51/0.90 % (3240649)------------------------------
% 2.51/0.90 % (3240649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.90 % (3240649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.90 % (3240649)CaDiCaL version: 2.1.3
% 2.51/0.90 % (3240649)Termination reason: Instruction limit
% 2.51/0.90 % (3240649)Termination phase: shuffling
% 2.51/0.90 % (3240649)Time elapsed: 0.019 s
% 2.51/0.90 % (3240649)Peak memory usage: 11 MB
% 2.51/0.90 % (3240649)Instructions burned: 45 (million)
% 2.51/0.90 % (3240656)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=378067070:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.51/0.90 % (3240463)Instruction limit reached!
% 2.51/0.90 % (3240463)------------------------------
% 2.51/0.90 % (3240463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.90 % (3240463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.90 % (3240463)CaDiCaL version: 2.1.3
% 2.51/0.90 % (3240463)Termination reason: Instruction limit
% 2.51/0.90 % (3240463)Termination phase: Saturation
% 2.51/0.90 % (3240463)Time elapsed: 0.320 s
% 2.51/0.90 % (3240463)Peak memory usage: 22 MB
% 2.51/0.90 % (3240463)Instructions burned: 635 (million)
% 2.51/0.90 % (3240659)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=23530385:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.51/0.90 % (3240660)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.51/0.90 % (3240659)Instruction limit reached!
% 2.51/0.90 % (3240659)------------------------------
% 2.51/0.90 % (3240659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.90 % (3240659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.90 % (3240659)CaDiCaL version: 2.1.3
% 2.51/0.90 % (3240659)Termination reason: Instruction limit
% 2.51/0.90 % (3240659)Termination phase: shuffling
% 2.51/0.90 % (3240659)Time elapsed: 0.010 s
% 2.51/0.90 % (3240659)Peak memory usage: 10 MB
% 2.51/0.90 % (3240659)Instructions burned: 23 (million)
% 2.51/0.90 % (3240660)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=703151188:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.33/0.91 % (3240663)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4136765814:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.33/0.91 % (3240663)Instruction limit reached!
% 3.33/0.91 % (3240663)------------------------------
% 3.33/0.91 % (3240663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/0.91 % (3240663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/0.91 % (3240663)CaDiCaL version: 2.1.3
% 3.33/0.91 % (3240663)Termination reason: Instruction limit
% 3.33/0.91 % (3240663)Termination phase: shuffling
% 3.33/0.91 % (3240663)Time elapsed: 0.006 s
% 3.33/0.91 % (3240663)Peak memory usage: 10 MB
% 3.33/0.91 % (3240663)Instructions burned: 13 (million)
% 3.33/0.91 % (3240664)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=802311001:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.33/0.91 % (3240667)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2839952552:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.33/0.91 % (3240664)Instruction limit reached!
% 3.33/0.91 % (3240664)------------------------------
% 3.33/0.91 % (3240664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/0.91 % (3240664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/0.91 % (3240664)CaDiCaL version: 2.1.3
% 3.33/0.91 % (3240664)Termination reason: Instruction limit
% 3.33/0.91 % (3240664)Termination phase: Property scanning
% 3.33/0.91 % (3240664)Time elapsed: 0.029 s
% 3.33/0.91 % (3240664)Peak memory usage: 11 MB
% 3.33/0.91 % (3240664)Instructions burned: 67 (million)
% 3.33/0.91 % (3240667)Instruction limit reached!
% 3.33/0.91 % (3240667)------------------------------
% 3.33/0.91 % (3240667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/0.91 % (3240667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/0.91 % (3240667)CaDiCaL version: 2.1.3
% 3.33/0.91 % (3240667)Termination reason: Instruction limit
% 3.33/0.91 % (3240667)Termination phase: Property scanning
% 3.33/0.91 % (3240667)Time elapsed: 0.023 s
% 3.33/0.91 % (3240667)Peak memory usage: 11 MB
% 3.33/0.91 % (3240667)Instructions burned: 53 (million)
% 3.33/0.91 % (3240670)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2044497122:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.33/0.91 % (3240671)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2323153373:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.33/0.91 % (3240631)Instruction limit reached!
% 3.33/0.91 % (3240631)------------------------------
% 3.33/0.91 % (3240631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/0.91 % (3240631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/0.91 % (3240631)CaDiCaL version: 2.1.3
% 3.33/0.91 % (3240631)Termination reason: Instruction limit
% 3.33/0.91 % (3240631)Termination phase: Saturation
% 3.33/0.91 % (3240631)Time elapsed: 0.140 s
% 3.33/0.91 % (3240631)Peak memory usage: 16 MB
% 3.33/0.91 % (3240631)Instructions burned: 317 (million)
% 3.33/0.91 % (3240670)Instruction limit reached!
% 3.33/0.91 % (3240670)------------------------------
% 3.33/0.91 % (3240670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/0.91 % (3240670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/0.91 % (3240670)CaDiCaL version: 2.1.3
% 3.33/0.91 % (3240670)Termination reason: Instruction limit
% 3.33/0.91 % (3240670)Termination phase: shuffling
% 3.33/0.91 % (3240670)Time elapsed: 0.014 s
% 3.33/0.91 % (3240670)Peak memory usage: 11 MB
% 3.33/0.91 % (3240670)Instructions burned: 31 (million)
% 3.33/0.91 % (3240660)Instruction limit reached!
% 3.33/0.91 % (3240660)------------------------------
% 3.33/0.91 % (3240660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/0.91 % (3240660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/0.91 % (3240660)CaDiCaL version: 2.1.3
% 3.33/0.91 % (3240660)Termination reason: Instruction limit
% 3.33/0.91 % (3240660)Termination phase: Saturation
% 3.33/0.91 % (3240660)Time elapsed: 0.083 s
% 3.33/0.91 % (3240660)Peak memory usage: 13 MB
% 3.33/0.91 % (3240660)Instructions burned: 202 (million)
% 3.33/0.91 % (3240675)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2604452984:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.33/0.91 % (3240674)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=53341253:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.33/0.91 % (3240676)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.33/0.91 % (3240676)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=720321541:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.33/0.91 % (3240674)Instruction limit reached!
% 3.33/0.91 % (3240674)------------------------------
% 3.33/0.91 % (3240674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/0.91 % (3240674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/0.91 % (3240674)CaDiCaL version: 2.1.3
% 3.33/0.91 % (3240674)Termination reason: Instruction limit
% 3.33/0.91 % (3240674)Termination phase: shuffling
% 3.33/0.91 % (3240674)Time elapsed: 0.016 s
% 3.33/0.91 % (3240674)Peak memory usage: 11 MB
% 3.33/0.91 % (3240674)Instructions burned: 36 (million)
% 3.33/0.91 % (3240571)Instruction limit reached!
% 3.33/0.91 % (3240571)------------------------------
% 3.33/0.91 % (3240571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/0.91 % (3240571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/0.91 % (3240571)CaDiCaL version: 2.1.3
% 3.33/0.91 % (3240571)Termination reason: Instruction limit
% 3.33/0.91 % (3240571)Termination phase: Saturation
% 3.33/0.91 % (3240571)Time elapsed: 0.305 s
% 3.33/0.91 % (3240571)Peak memory usage: 20 MB
% 3.33/0.91 % (3240571)Instructions burned: 1240 (million)
% 3.33/0.91 % (3240675)Instruction limit reached!
% 3.33/0.91 % (3240675)------------------------------
% 3.33/0.91 % (3240675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/0.91 % (3240675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/0.91 % (3240675)CaDiCaL version: 2.1.3
% 3.33/0.91 % (3240675)Termination reason: Instruction limit
% 3.33/0.91 % (3240675)Termination phase: Property scanning
% 3.33/0.91 % (3240675)Time elapsed: 0.030 s
% 3.33/0.91 % (3240675)Peak memory usage: 11 MB
% 3.33/0.91 % (3240675)Instructions burned: 69 (million)
% 3.33/0.91 % (3240681)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2234499948:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 3.33/0.91 % (3240671)Instruction limit reached!
% 3.33/0.91 % (3240671)------------------------------
% 3.33/0.91 % (3240671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/0.91 % (3240671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/0.91 % (3240671)CaDiCaL version: 2.1.3
% 3.33/0.91 % (3240671)Termination reason: Instruction limit
% 3.33/0.91 % (3240671)Termination phase: Twee Goal Transformation
% 3.33/0.91 % (3240671)Time elapsed: 0.058 s
% 3.33/0.91 % (3240671)Peak memory usage: 12 MB
% 3.33/0.91 % (3240671)Instructions burned: 139 (million)
% 3.33/0.91 % (3240680)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=379800286:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 3.33/0.91 % (3240682)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2230731771:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 3.33/0.91 % (3240684)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4113388194:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 3.33/0.91 % (3240681)Instruction limit reached!
% 3.33/0.91 % (3240681)------------------------------
% 3.33/0.91 % (3240681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/0.91 % (3240681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/0.91 % (3240681)CaDiCaL version: 2.1.3
% 3.33/0.91 % (3240681)Termination reason: Instruction limit
% 3.33/0.91 % (3240681)Termination phase: Property scanning
% 3.33/0.91 % (3240681)Time elapsed: 0.022 s
% 3.33/0.91 % (3240681)Peak memory usage: 12 MB
% 3.33/0.91 % (3240681)Instructions burned: 101 (million)
% 3.33/0.91 % (3240656) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3240436-3240656"...
% 3.33/0.91 % (3240688)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3607985435:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 3.33/0.91 % (3240656)...printing done.
% 3.33/0.91 % (3240656)Refutation found. Thanks to Tanya!
% 3.33/0.91 % SZS status Theorem for theBenchmark
% 3.33/0.91 % SZS output start Proof for theBenchmark
% 3.33/0.91 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 3.33/0.91 thf(func_def_0, type, in: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_1, type, exu: (($i > $o) > $o)).
% 3.33/0.91 thf(func_def_3, type, setextAx: $o).
% 3.33/0.91 thf(func_def_5, type, emptysetAx: $o).
% 3.33/0.91 thf(func_def_6, type, setadjoin: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_7, type, setadjoinAx: $o).
% 3.33/0.91 thf(func_def_8, type, powerset: ($i > $i)).
% 3.33/0.91 thf(func_def_9, type, powersetAx: $o).
% 3.33/0.91 thf(func_def_10, type, setunion: ($i > $i)).
% 3.33/0.91 thf(func_def_11, type, setunionAx: $o).
% 3.33/0.91 thf(func_def_13, type, omega0Ax: $o).
% 3.33/0.91 thf(func_def_14, type, omegaSAx: $o).
% 3.33/0.91 thf(func_def_15, type, omegaIndAx: $o).
% 3.33/0.91 thf(func_def_16, type, replAx: $o).
% 3.33/0.91 thf(func_def_17, type, foundationAx: $o).
% 3.33/0.91 thf(func_def_18, type, wellorderingAx: $o).
% 3.33/0.91 thf(func_def_19, type, descr: (($i > $o) > $i)).
% 3.33/0.91 thf(func_def_20, type, descrp: $o).
% 3.33/0.91 thf(func_def_21, type, dsetconstr: ($i > ($i > $o) > $i)).
% 3.33/0.91 thf(func_def_22, type, dsetconstrI: $o).
% 3.33/0.91 thf(func_def_23, type, dsetconstrEL: $o).
% 3.33/0.91 thf(func_def_24, type, dsetconstrER: $o).
% 3.33/0.91 thf(func_def_25, type, exuE1: $o).
% 3.33/0.91 thf(func_def_26, type, prop2set: ($o > $i)).
% 3.33/0.91 thf(func_def_27, type, prop2setE: $o).
% 3.33/0.91 thf(func_def_28, type, emptysetE: $o).
% 3.33/0.91 thf(func_def_29, type, emptysetimpfalse: $o).
% 3.33/0.91 thf(func_def_30, type, notinemptyset: $o).
% 3.33/0.91 thf(func_def_31, type, exuE3e: $o).
% 3.33/0.91 thf(func_def_32, type, setext: $o).
% 3.33/0.91 thf(func_def_33, type, emptyI: $o).
% 3.33/0.91 thf(func_def_34, type, noeltsimpempty: $o).
% 3.33/0.91 thf(func_def_35, type, setbeta: $o).
% 3.33/0.91 thf(func_def_36, type, nonempty: ($i > $o)).
% 3.33/0.91 thf(func_def_37, type, nonemptyE1: $o).
% 3.33/0.91 thf(func_def_38, type, nonemptyI: $o).
% 3.33/0.91 thf(func_def_39, type, nonemptyI1: $o).
% 3.33/0.91 thf(func_def_40, type, setadjoinIL: $o).
% 3.33/0.91 thf(func_def_41, type, emptyinunitempty: $o).
% 3.33/0.91 thf(func_def_42, type, setadjoinIR: $o).
% 3.33/0.91 thf(func_def_43, type, setadjoinE: $o).
% 3.33/0.91 thf(func_def_44, type, setadjoinOr: $o).
% 3.33/0.91 thf(func_def_45, type, setoftrueEq: $o).
% 3.33/0.91 thf(func_def_46, type, powersetI: $o).
% 3.33/0.91 thf(func_def_47, type, emptyinPowerset: $o).
% 3.33/0.91 thf(func_def_48, type, emptyInPowerset: $o).
% 3.33/0.91 thf(func_def_49, type, powersetE: $o).
% 3.33/0.91 thf(func_def_50, type, setunionI: $o).
% 3.33/0.91 thf(func_def_51, type, setunionE: $o).
% 3.33/0.91 thf(func_def_52, type, subPowSU: $o).
% 3.33/0.91 thf(func_def_53, type, exuE2: $o).
% 3.33/0.91 thf(func_def_54, type, nonemptyImpWitness: $o).
% 3.33/0.91 thf(func_def_55, type, uniqinunit: $o).
% 3.33/0.91 thf(func_def_56, type, notinsingleton: $o).
% 3.33/0.91 thf(func_def_57, type, eqinunit: $o).
% 3.33/0.91 thf(func_def_58, type, singletonsswitch: $o).
% 3.33/0.91 thf(func_def_59, type, upairsetE: $o).
% 3.33/0.91 thf(func_def_60, type, upairsetIL: $o).
% 3.33/0.91 thf(func_def_61, type, upairsetIR: $o).
% 3.33/0.91 thf(func_def_62, type, emptyE1: $o).
% 3.33/0.91 thf(func_def_63, type, vacuousDall: $o).
% 3.33/0.91 thf(func_def_64, type, quantDeMorgan1: $o).
% 3.33/0.91 thf(func_def_65, type, quantDeMorgan2: $o).
% 3.33/0.91 thf(func_def_66, type, quantDeMorgan3: $o).
% 3.33/0.91 thf(func_def_67, type, quantDeMorgan4: $o).
% 3.33/0.91 thf(func_def_68, type, prop2setI: $o).
% 3.33/0.91 thf(func_def_69, type, set2prop: ($i > $o)).
% 3.33/0.91 thf(func_def_70, type, prop2set2propI: $o).
% 3.33/0.91 thf(func_def_71, type, notdexE: $o).
% 3.33/0.91 thf(func_def_72, type, notdallE: $o).
% 3.33/0.91 thf(func_def_73, type, exuI1: $o).
% 3.33/0.91 thf(func_def_74, type, exuI3: $o).
% 3.33/0.91 thf(func_def_75, type, exuI2: $o).
% 3.33/0.91 thf(func_def_76, type, inCongP: $o).
% 3.33/0.91 thf(func_def_77, type, in__Cong: $o).
% 3.33/0.91 thf(func_def_78, type, exuE3u: $o).
% 3.33/0.91 thf(func_def_79, type, exu__Cong: $o).
% 3.33/0.91 thf(func_def_80, type, emptyset__Cong: $o).
% 3.33/0.91 thf(func_def_81, type, setadjoin__Cong: $o).
% 3.33/0.91 thf(func_def_82, type, powerset__Cong: $o).
% 3.33/0.91 thf(func_def_83, type, setunion__Cong: $o).
% 3.33/0.91 thf(func_def_84, type, omega__Cong: $o).
% 3.33/0.91 thf(func_def_85, type, exuEu: $o).
% 3.33/0.91 thf(func_def_86, type, descr__Cong: $o).
% 3.33/0.91 thf(func_def_87, type, dsetconstr__Cong: $o).
% 3.33/0.91 thf(func_def_88, type, subset: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_89, type, disjoint: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_90, type, setsmeet: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_91, type, subsetI1: $o).
% 3.33/0.91 thf(func_def_92, type, eqimpsubset2: $o).
% 3.33/0.91 thf(func_def_93, type, eqimpsubset1: $o).
% 3.33/0.91 thf(func_def_94, type, subsetI2: $o).
% 3.33/0.91 thf(func_def_95, type, emptysetsubset: $o).
% 3.33/0.91 thf(func_def_96, type, subsetE: $o).
% 3.33/0.91 thf(func_def_97, type, subsetE2: $o).
% 3.33/0.91 thf(func_def_98, type, notsubsetI: $o).
% 3.33/0.91 thf(func_def_99, type, notequalI1: $o).
% 3.33/0.91 thf(func_def_100, type, notequalI2: $o).
% 3.33/0.91 thf(func_def_101, type, subsetRefl: $o).
% 3.33/0.91 thf(func_def_102, type, subsetTrans: $o).
% 3.33/0.91 thf(func_def_103, type, setadjoinSub: $o).
% 3.33/0.91 thf(func_def_104, type, setadjoinSub2: $o).
% 3.33/0.91 thf(func_def_105, type, subset2powerset: $o).
% 3.33/0.91 thf(func_def_106, type, setextsub: $o).
% 3.33/0.91 thf(func_def_107, type, subsetemptysetimpeq: $o).
% 3.33/0.91 thf(func_def_108, type, powersetI1: $o).
% 3.33/0.91 thf(func_def_109, type, powersetE1: $o).
% 3.33/0.91 thf(func_def_110, type, inPowerset: $o).
% 3.33/0.91 thf(func_def_111, type, powersetsubset: $o).
% 3.33/0.91 thf(func_def_112, type, sepInPowerset: $o).
% 3.33/0.91 thf(func_def_113, type, sepSubset: $o).
% 3.33/0.91 thf(func_def_114, type, binunion: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_115, type, binunionIL: $o).
% 3.33/0.91 thf(func_def_116, type, upairset2IR: $o).
% 3.33/0.91 thf(func_def_117, type, binunionIR: $o).
% 3.33/0.91 thf(func_def_118, type, binunionEcases: $o).
% 3.33/0.91 thf(func_def_119, type, binunionE: $o).
% 3.33/0.91 thf(func_def_120, type, binunionLsub: $o).
% 3.33/0.91 thf(func_def_121, type, binunionRsub: $o).
% 3.33/0.91 thf(func_def_122, type, binintersect: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_123, type, binintersectI: $o).
% 3.33/0.91 thf(func_def_124, type, binintersectSubset5: $o).
% 3.33/0.91 thf(func_def_125, type, binintersectEL: $o).
% 3.33/0.91 thf(func_def_126, type, binintersectLsub: $o).
% 3.33/0.91 thf(func_def_127, type, binintersectSubset2: $o).
% 3.33/0.91 thf(func_def_128, type, binintersectSubset3: $o).
% 3.33/0.91 thf(func_def_129, type, binintersectER: $o).
% 3.33/0.91 thf(func_def_130, type, disjointsetsI1: $o).
% 3.33/0.91 thf(func_def_131, type, binintersectRsub: $o).
% 3.33/0.91 thf(func_def_132, type, binintersectSubset4: $o).
% 3.33/0.91 thf(func_def_133, type, binintersectSubset1: $o).
% 3.33/0.91 thf(func_def_134, type, bs114d: $o).
% 3.33/0.91 thf(func_def_135, type, regular: ($i > $o)).
% 3.33/0.91 thf(func_def_136, type, setminus: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_137, type, setminusI: $o).
% 3.33/0.91 thf(func_def_138, type, setminusEL: $o).
% 3.33/0.91 thf(func_def_139, type, setminusER: $o).
% 3.33/0.91 thf(func_def_140, type, setminusSubset2: $o).
% 3.33/0.91 thf(func_def_141, type, setminusERneg: $o).
% 3.33/0.91 thf(func_def_142, type, setminusELneg: $o).
% 3.33/0.91 thf(func_def_143, type, setminusILneg: $o).
% 3.33/0.91 thf(func_def_144, type, setminusIRneg: $o).
% 3.33/0.91 thf(func_def_145, type, setminusLsub: $o).
% 3.33/0.91 thf(func_def_146, type, setminusSubset1: $o).
% 3.33/0.91 thf(func_def_147, type, symdiff: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_148, type, symdiffE: $o).
% 3.33/0.91 thf(func_def_149, type, symdiffI1: $o).
% 3.33/0.91 thf(func_def_150, type, symdiffI2: $o).
% 3.33/0.91 thf(func_def_151, type, symdiffIneg1: $o).
% 3.33/0.91 thf(func_def_152, type, symdiffIneg2: $o).
% 3.33/0.91 thf(func_def_153, type, iskpair: ($i > $o)).
% 3.33/0.91 thf(func_def_154, type, secondinupair: $o).
% 3.33/0.91 thf(func_def_155, type, setukpairIL: $o).
% 3.33/0.91 thf(func_def_156, type, setukpairIR: $o).
% 3.33/0.91 thf(func_def_157, type, kpairiskpair: $o).
% 3.33/0.91 thf(func_def_158, type, kpair: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_159, type, kpairp: $o).
% 3.33/0.91 thf(func_def_160, type, cartprod: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_161, type, singletonsubset: $o).
% 3.33/0.91 thf(func_def_162, type, singletoninpowerset: $o).
% 3.33/0.91 thf(func_def_163, type, singletoninpowunion: $o).
% 3.33/0.91 thf(func_def_164, type, upairset2E: $o).
% 3.33/0.91 thf(func_def_165, type, upairsubunion: $o).
% 3.33/0.91 thf(func_def_166, type, upairinpowunion: $o).
% 3.33/0.91 thf(func_def_167, type, ubforcartprodlem1: $o).
% 3.33/0.91 thf(func_def_168, type, ubforcartprodlem2: $o).
% 3.33/0.91 thf(func_def_169, type, ubforcartprodlem3: $o).
% 3.33/0.91 thf(func_def_170, type, cartprodpairin: $o).
% 3.33/0.91 thf(func_def_171, type, cartprodmempair1: $o).
% 3.33/0.91 thf(func_def_172, type, cartprodmempair: $o).
% 3.33/0.91 thf(func_def_173, type, setunionE2: $o).
% 3.33/0.91 thf(func_def_174, type, setunionsingleton1: $o).
% 3.33/0.91 thf(func_def_175, type, setunionsingleton2: $o).
% 3.33/0.91 thf(func_def_176, type, setunionsingleton: $o).
% 3.33/0.91 thf(func_def_177, type, singleton: ($i > $o)).
% 3.33/0.91 thf(func_def_178, type, singletonprop: $o).
% 3.33/0.91 thf(func_def_179, type, ex1: ($i > ($i > $o) > $o)).
% 3.33/0.91 thf(func_def_180, type, ex1E1: $o).
% 3.33/0.91 thf(func_def_181, type, ex1I: $o).
% 3.33/0.91 thf(func_def_182, type, ex1I2: $o).
% 3.33/0.91 thf(func_def_183, type, singletonsuniq: $o).
% 3.33/0.91 thf(func_def_184, type, atmost1p: ($i > $o)).
% 3.33/0.91 thf(func_def_185, type, atleast2p: ($i > $o)).
% 3.33/0.91 thf(func_def_186, type, atmost2p: ($i > $o)).
% 3.33/0.91 thf(func_def_187, type, upairsetp: ($i > $o)).
% 3.33/0.91 thf(func_def_188, type, setukpairinjL1: $o).
% 3.33/0.91 thf(func_def_189, type, kfstsingleton: $o).
% 3.33/0.91 thf(func_def_190, type, theprop: $o).
% 3.33/0.91 thf(func_def_191, type, kfst: ($i > $i)).
% 3.33/0.91 thf(func_def_192, type, kfstpairEq: $o).
% 3.33/0.91 thf(func_def_193, type, cartprodfstin: $o).
% 3.33/0.91 thf(func_def_194, type, setukpairinjL2: $o).
% 3.33/0.91 thf(func_def_195, type, setukpairinjL: $o).
% 3.33/0.91 thf(func_def_196, type, setukpairinjR11: $o).
% 3.33/0.91 thf(func_def_197, type, setukpairinjR12: $o).
% 3.33/0.91 thf(func_def_198, type, setukpairinjR1: $o).
% 3.33/0.91 thf(func_def_199, type, upairequniteq: $o).
% 3.33/0.91 thf(func_def_200, type, setukpairinjR2: $o).
% 3.33/0.91 thf(func_def_201, type, setukpairinjR: $o).
% 3.33/0.91 thf(func_def_202, type, ksndsingleton: $o).
% 3.33/0.91 thf(func_def_203, type, ksnd: ($i > $i)).
% 3.33/0.91 thf(func_def_204, type, ksndpairEq: $o).
% 3.33/0.91 thf(func_def_205, type, kpairsurjEq: $o).
% 3.33/0.91 thf(func_def_206, type, cartprodsndin: $o).
% 3.33/0.91 thf(func_def_207, type, cartprodpairmemEL: $o).
% 3.33/0.91 thf(func_def_208, type, cartprodpairmemER: $o).
% 3.33/0.91 thf(func_def_209, type, cartprodmempaircEq: $o).
% 3.33/0.91 thf(func_def_210, type, cartprodfstpairEq: $o).
% 3.33/0.91 thf(func_def_211, type, cartprodsndpairEq: $o).
% 3.33/0.91 thf(func_def_212, type, cartprodpairsurjEq: $o).
% 3.33/0.91 thf(func_def_213, type, breln: ($i > $i > $i > $o)).
% 3.33/0.91 thf(func_def_214, type, dpsetconstr: ($i > $i > ($i > $i > $o) > $i)).
% 3.33/0.91 thf(func_def_215, type, dpsetconstrI: $o).
% 3.33/0.91 thf(func_def_216, type, dpsetconstrSub: $o).
% 3.33/0.91 thf(func_def_217, type, setOfPairsIsBReln: $o).
% 3.33/0.91 thf(func_def_218, type, dpsetconstrERa: $o).
% 3.33/0.91 thf(func_def_219, type, dpsetconstrEL1: $o).
% 3.33/0.91 thf(func_def_220, type, dpsetconstrEL2: $o).
% 3.33/0.91 thf(func_def_221, type, dpsetconstrER: $o).
% 3.33/0.91 thf(func_def_222, type, func: ($i > $i > $i > $o)).
% 3.33/0.91 thf(func_def_223, type, funcSet: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_224, type, funcImageSingleton: $o).
% 3.33/0.91 thf(func_def_225, type, apProp: $o).
% 3.33/0.91 thf(func_def_226, type, ap: ($i > $i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_227, type, app: $o).
% 3.33/0.91 thf(func_def_228, type, infuncsetfunc: $o).
% 3.33/0.91 thf(func_def_229, type, ap2p: $o).
% 3.33/0.91 thf(func_def_230, type, funcinfuncset: $o).
% 3.33/0.91 thf(func_def_231, type, lamProp: $o).
% 3.33/0.91 thf(func_def_232, type, lam: ($i > $i > ($i > $i) > $i)).
% 3.33/0.91 thf(func_def_233, type, lamp: $o).
% 3.33/0.91 thf(func_def_234, type, lam2p: $o).
% 3.33/0.91 thf(func_def_235, type, brelnall1: $o).
% 3.33/0.91 thf(func_def_236, type, brelnall2: $o).
% 3.33/0.91 thf(func_def_237, type, ex1E2: $o).
% 3.33/0.91 thf(func_def_238, type, funcGraphProp1: $o).
% 3.33/0.91 thf(func_def_239, type, funcGraphProp3: $o).
% 3.33/0.91 thf(func_def_240, type, funcGraphProp2: $o).
% 3.33/0.91 thf(func_def_241, type, funcextLem: $o).
% 3.33/0.91 thf(func_def_242, type, funcGraphProp4: $o).
% 3.33/0.91 thf(func_def_243, type, subbreln: $o).
% 3.33/0.91 thf(func_def_244, type, eqbreln: $o).
% 3.33/0.91 thf(func_def_245, type, funcext: $o).
% 3.33/0.91 thf(func_def_246, type, funcext2: $o).
% 3.33/0.91 thf(func_def_247, type, ap2apEq1: $o).
% 3.33/0.91 thf(func_def_248, type, ap2apEq2: $o).
% 3.33/0.91 thf(func_def_249, type, beta1: $o).
% 3.33/0.91 thf(func_def_250, type, eta1: $o).
% 3.33/0.91 thf(func_def_251, type, lam2lamEq: $o).
% 3.33/0.91 thf(func_def_252, type, beta2: $o).
% 3.33/0.91 thf(func_def_253, type, eta2: $o).
% 3.33/0.91 thf(func_def_254, type, iffalseProp1: $o).
% 3.33/0.91 thf(func_def_255, type, iffalseProp2: $o).
% 3.33/0.91 thf(func_def_256, type, iftrueProp1: $o).
% 3.33/0.91 thf(func_def_257, type, iftrueProp2: $o).
% 3.33/0.91 thf(func_def_258, type, ifSingleton: $o).
% 3.33/0.91 thf(func_def_259, type, if: ($i > $o > $i > $i > $i)).
% 3.33/0.91 thf(func_def_260, type, ifp: $o).
% 3.33/0.91 thf(func_def_261, type, theeq: $o).
% 3.33/0.91 thf(func_def_262, type, iftrue: $o).
% 3.33/0.91 thf(func_def_263, type, iffalse: $o).
% 3.33/0.91 thf(func_def_264, type, iftrueorfalse: $o).
% 3.33/0.91 thf(func_def_265, type, binintersectT_lem: $o).
% 3.33/0.91 thf(func_def_266, type, binunionT_lem: $o).
% 3.33/0.91 thf(func_def_267, type, powersetT_lem: $o).
% 3.33/0.91 thf(func_def_268, type, setminusT_lem: $o).
% 3.33/0.91 thf(func_def_269, type, complementT_lem: $o).
% 3.33/0.91 thf(func_def_270, type, setextT: $o).
% 3.33/0.91 thf(func_def_271, type, subsetTI: $o).
% 3.33/0.91 thf(func_def_272, type, powersetTI1: $o).
% 3.33/0.91 thf(func_def_273, type, powersetTE1: $o).
% 3.33/0.91 thf(func_def_274, type, complementTI1: $o).
% 3.33/0.91 thf(func_def_275, type, complementTE1: $o).
% 3.33/0.91 thf(func_def_276, type, binintersectTELcontra: $o).
% 3.33/0.91 thf(func_def_277, type, binintersectTERcontra: $o).
% 3.33/0.91 thf(func_def_278, type, contrasubsetT: $o).
% 3.33/0.91 thf(func_def_279, type, contrasubsetT1: $o).
% 3.33/0.91 thf(func_def_280, type, contrasubsetT2: $o).
% 3.33/0.91 thf(func_def_281, type, contrasubsetT3: $o).
% 3.33/0.91 thf(func_def_282, type, doubleComplementI1: $o).
% 3.33/0.91 thf(func_def_283, type, doubleComplementE1: $o).
% 3.33/0.91 thf(func_def_284, type, doubleComplementSub1: $o).
% 3.33/0.91 thf(func_def_285, type, doubleComplementSub2: $o).
% 3.33/0.91 thf(func_def_286, type, doubleComplementEq: $o).
% 3.33/0.91 thf(func_def_287, type, complementTnotintersectT: $o).
% 3.33/0.91 thf(func_def_288, type, complementImpComplementIntersect: $o).
% 3.33/0.91 thf(func_def_289, type, complementSubsetComplementIntersect: $o).
% 3.33/0.91 thf(func_def_290, type, complementInPowersetComplementIntersect: $o).
% 3.33/0.91 thf(func_def_291, type, contraSubsetComplement: $o).
% 3.33/0.91 thf(func_def_292, type, complementTcontraSubset: $o).
% 3.33/0.91 thf(func_def_293, type, binunionTILcontra: $o).
% 3.33/0.91 thf(func_def_294, type, binunionTIRcontra: $o).
% 3.33/0.91 thf(func_def_295, type, inIntersectImpInUnion: $o).
% 3.33/0.91 thf(func_def_296, type, inIntersectImpInUnion2: $o).
% 3.33/0.91 thf(func_def_297, type, inIntersectImpInIntersectUnions: $o).
% 3.33/0.91 thf(func_def_298, type, intersectInPowersetIntersectUnions: $o).
% 3.33/0.91 thf(func_def_299, type, inComplementUnionImpNotIn1: $o).
% 3.33/0.91 thf(func_def_300, type, inComplementUnionImpInComplement1: $o).
% 3.33/0.91 thf(func_def_301, type, binunionTE: $o).
% 3.33/0.91 thf(func_def_302, type, binunionTEcontra: $o).
% 3.33/0.91 thf(func_def_303, type, demorgan2a1: $o).
% 3.33/0.91 thf(func_def_304, type, complementUnionInPowersetComplement: $o).
% 3.33/0.91 thf(func_def_305, type, demorgan2a2: $o).
% 3.33/0.91 thf(func_def_306, type, demorgan1a: $o).
% 3.33/0.91 thf(func_def_307, type, demorgan1b: $o).
% 3.33/0.91 thf(func_def_308, type, demorgan1: $o).
% 3.33/0.91 thf(func_def_309, type, demorgan2a: $o).
% 3.33/0.91 thf(func_def_310, type, demorgan2b2: $o).
% 3.33/0.91 thf(func_def_311, type, demorgan2b: $o).
% 3.33/0.91 thf(func_def_312, type, demorgan2: $o).
% 3.33/0.91 thf(func_def_313, type, woz13rule0: $o).
% 3.33/0.91 thf(func_def_314, type, woz13rule1: $o).
% 3.33/0.91 thf(func_def_315, type, woz13rule2: $o).
% 3.33/0.91 thf(func_def_316, type, woz13rule3: $o).
% 3.33/0.91 thf(func_def_317, type, woz13rule4: $o).
% 3.33/0.91 thf(func_def_318, type, woz1_1: $o).
% 3.33/0.91 thf(func_def_319, type, woz1_2: $o).
% 3.33/0.91 thf(func_def_320, type, woz1_3: $o).
% 3.33/0.91 thf(func_def_321, type, woz1_4: $o).
% 3.33/0.91 thf(func_def_322, type, woz1_5: $o).
% 3.33/0.91 thf(func_def_323, type, breln1: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_324, type, breln1all2: $o).
% 3.33/0.91 thf(func_def_325, type, breln1Set: ($i > $i)).
% 3.33/0.91 thf(func_def_326, type, breln1SetBreln1: $o).
% 3.33/0.91 thf(func_def_327, type, transitive: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_328, type, antisymmetric: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_329, type, reflexive: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_330, type, refltransitive: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_331, type, refllinearorder: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_332, type, reflwellordering: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_333, type, choice2fnsingleton: $o).
% 3.33/0.91 thf(func_def_334, type, setOfPairsIsBReln1: $o).
% 3.33/0.91 thf(func_def_335, type, breln1all1: $o).
% 3.33/0.91 thf(func_def_336, type, subbreln1: $o).
% 3.33/0.91 thf(func_def_337, type, eqbreln1: $o).
% 3.33/0.91 thf(func_def_338, type, breln1invset: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_339, type, breln1invprop: $o).
% 3.33/0.91 thf(func_def_340, type, breln1invI: $o).
% 3.33/0.91 thf(func_def_341, type, breln1invE: $o).
% 3.33/0.91 thf(func_def_342, type, breln1compset: ($i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_343, type, breln1compprop: $o).
% 3.33/0.91 thf(func_def_344, type, breln1compI: $o).
% 3.33/0.91 thf(func_def_345, type, breln1compE: $o).
% 3.33/0.91 thf(func_def_346, type, breln1compEex: $o).
% 3.33/0.91 thf(func_def_347, type, breln1unionprop: $o).
% 3.33/0.91 thf(func_def_348, type, breln1unionIL: $o).
% 3.33/0.91 thf(func_def_349, type, breln1unionIR: $o).
% 3.33/0.91 thf(func_def_350, type, breln1unionI: $o).
% 3.33/0.91 thf(func_def_351, type, breln1unionE: $o).
% 3.33/0.91 thf(func_def_352, type, breln1unionEcases: $o).
% 3.33/0.91 thf(func_def_353, type, breln1unionCommutes: $o).
% 3.33/0.91 thf(func_def_354, type, woz2Ex: $o).
% 3.33/0.91 thf(func_def_355, type, woz2W: $o).
% 3.33/0.91 thf(func_def_356, type, woz2A: $o).
% 3.33/0.91 thf(func_def_357, type, woz2B: $o).
% 3.33/0.91 thf(func_def_358, type, image1Ex: $o).
% 3.33/0.91 thf(func_def_359, type, image1Ex1: $o).
% 3.33/0.91 thf(func_def_360, type, image1: ($i > ($i > $i) > $i)).
% 3.33/0.91 thf(func_def_361, type, image1Equiv: $o).
% 3.33/0.91 thf(func_def_362, type, image1E: $o).
% 3.33/0.91 thf(func_def_365, type, db1: !>[X0: $tType]:(X0)).
% 3.33/0.91 thf(func_def_366, type, db0: !>[X0: $tType]:(X0)).
% 3.33/0.91 thf(func_def_367, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 3.33/0.91 thf(func_def_368, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.33/0.91 thf(func_def_369, type, vNOT: ($o > $o)).
% 3.33/0.91 thf(func_def_370, type, vAND: ($o > $o > $o)).
% 3.33/0.91 thf(func_def_371, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.33/0.91 thf(func_def_372, type, vIMP: ($o > $o > $o)).
% 3.33/0.91 thf(func_def_373, type, vOR: ($o > $o > $o)).
% 3.33/0.91 thf(func_def_374, type, vIFF: ($o > $o > $o)).
% 3.33/0.91 thf(func_def_375, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.33/0.91 thf(func_def_376, type, db2: !>[X0: $tType]:(X0)).
% 3.33/0.91 thf(func_def_377, type, sP0: $o).
% 3.33/0.91 thf(func_def_378, type, sP1: $o).
% 3.33/0.91 thf(func_def_379, type, sP2: $o).
% 3.33/0.91 thf(func_def_380, type, sP3: $o).
% 3.33/0.91 thf(func_def_381, type, sP4: ($o > $i > $i > $i > $o)).
% 3.33/0.91 thf(func_def_382, type, sP5: $o).
% 3.33/0.91 thf(func_def_383, type, sP6: $o).
% 3.33/0.91 thf(func_def_384, type, sP7: ($i > $i > $i > $i > $o)).
% 3.33/0.91 thf(func_def_385, type, sP8: $o).
% 3.33/0.91 thf(func_def_386, type, sP9: $o).
% 3.33/0.91 thf(func_def_387, type, sP10: $o).
% 3.33/0.91 thf(func_def_388, type, sP11: ($i > $i > $i > $o)).
% 3.33/0.91 thf(func_def_389, type, sP12: $o).
% 3.33/0.91 thf(func_def_390, type, sP13: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_391, type, sP14: ($i > $o)).
% 3.33/0.91 thf(func_def_392, type, sP15: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_393, type, sP16: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_394, type, sP17: ($i > $i > $i > $o)).
% 3.33/0.91 thf(func_def_396, type, sK19: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_419, type, sK42: ($i > $i)).
% 3.33/0.91 thf(func_def_421, type, sK44: ($i > $i)).
% 3.33/0.91 thf(func_def_422, type, sK45: ($i > $i)).
% 3.33/0.91 thf(func_def_423, type, sK46: ($i > ($i > $i) > $i)).
% 3.33/0.91 thf(func_def_424, type, sK47: ($i > $i > ($i > $i) > $i)).
% 3.33/0.91 thf(func_def_432, type, sK55: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_450, type, sK73: ($i > $i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_451, type, sK74: ($i > $o)).
% 3.33/0.91 thf(func_def_454, type, sK77: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_456, type, sK79: ($i > $i)).
% 3.33/0.91 thf(func_def_457, type, sK80: ($i > $i)).
% 3.33/0.91 thf(func_def_458, type, sK81: ($i > ($i > $i > $o) > $i)).
% 3.33/0.91 thf(func_def_459, type, sK82: ($i > ($i > $i > $o) > $i)).
% 3.33/0.91 thf(func_def_460, type, sK83: ($i > $i > ($i > $i > $o) > $i)).
% 3.33/0.91 thf(func_def_461, type, sK84: (($i > $i) > $i > $i > $i)).
% 3.33/0.91 thf(func_def_464, type, sK87: ($i > $i)).
% 3.33/0.91 thf(func_def_475, type, sK98: ($i > $o)).
% 3.33/0.91 thf(func_def_489, type, sK112: ($i > $i)).
% 3.33/0.91 thf(func_def_490, type, sK113: ($i > $i)).
% 3.33/0.91 thf(func_def_496, type, sK119: ($i > ($i > $i) > $i > $i)).
% 3.33/0.91 thf(func_def_498, type, sK121: ($i > $i)).
% 3.33/0.91 thf(func_def_505, type, sK128: $o).
% 3.33/0.91 thf(func_def_513, type, sK136: ($i > ($i > $o) > $i)).
% 3.33/0.91 thf(func_def_514, type, sK137: ($i > $o)).
% 3.33/0.91 thf(func_def_520, type, sK143: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_527, type, sK150: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_542, type, sK165: ($i > $i)).
% 3.33/0.91 thf(func_def_544, type, sK167: (($i > $i) > $i > $i > $i)).
% 3.33/0.91 thf(func_def_569, type, sK192: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_573, type, sK196: ($i > $i)).
% 3.33/0.91 thf(func_def_574, type, sK197: ($i > $o)).
% 3.33/0.91 thf(func_def_575, type, sK198: ($i > $i)).
% 3.33/0.91 thf(func_def_576, type, sK199: (($i > $o) > $i)).
% 3.33/0.91 thf(func_def_582, type, sK205: ($i > $o)).
% 3.33/0.91 thf(func_def_583, type, sK206: (($i > $o) > $i > $i > $i)).
% 3.33/0.91 thf(func_def_584, type, sK207: ($i > $o)).
% 3.33/0.91 thf(func_def_587, type, sK210: ($i > ($i > $o) > $i)).
% 3.33/0.91 thf(func_def_588, type, sK211: ($i > ($i > $o) > $i)).
% 3.33/0.91 thf(func_def_594, type, sK217: ($i > $i)).
% 3.33/0.91 thf(func_def_601, type, sK224: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_604, type, sK227: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_612, type, sK235: ($i > $i)).
% 3.33/0.91 thf(func_def_620, type, sK243: ($o > $i > $i > $i)).
% 3.33/0.91 thf(func_def_623, type, sK246: $o).
% 3.33/0.91 thf(func_def_634, type, sK257: ($i > $o)).
% 3.33/0.91 thf(func_def_636, type, sK259: $o).
% 3.33/0.91 thf(func_def_643, type, sK266: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_673, type, sK296: $o).
% 3.33/0.91 thf(func_def_678, type, sK301: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_711, type, sK334: ($i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_712, type, sK335: ($i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_723, type, sK346: ($i > $o)).
% 3.33/0.91 thf(func_def_727, type, sK350: ($i > $i)).
% 3.33/0.91 thf(func_def_729, type, sK352: ($i > ($i > $i) > $i > $i)).
% 3.33/0.91 thf(func_def_733, type, sK356: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_736, type, sK359: ($i > $o)).
% 3.33/0.91 thf(func_def_739, type, sK362: $o).
% 3.33/0.91 thf(func_def_753, type, sK376: (($i > $i) > $i > $i > $i)).
% 3.33/0.91 thf(func_def_756, type, sK379: ($i > $i)).
% 3.33/0.91 thf(func_def_764, type, sK387: $o).
% 3.33/0.91 thf(func_def_769, type, sK392: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_774, type, sK397: ($i > $i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_778, type, sK401: ($i > $i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_779, type, sK402: ($i > $i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_784, type, sK407: ($i > ($i > $i > $o) > $i > $i)).
% 3.33/0.91 thf(func_def_786, type, sK409: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_790, type, sK413: ($i > $i)).
% 3.33/0.91 thf(func_def_794, type, sK417: (($i > $o) > $i)).
% 3.33/0.91 thf(func_def_795, type, sK418: (($i > $o) > $i)).
% 3.33/0.91 thf(func_def_796, type, sK419: ($i > $o)).
% 3.33/0.91 thf(func_def_804, type, sK427: ($i > $o)).
% 3.33/0.91 thf(func_def_848, type, sK471: $o).
% 3.33/0.91 thf(func_def_859, type, sK482: ($i > $o)).
% 3.33/0.91 thf(func_def_860, type, sK483: ($i > $o)).
% 3.33/0.91 thf(func_def_861, type, sK484: (($i > $o) > ($i > $o) > $i)).
% 3.33/0.91 thf(func_def_862, type, sK485: (($i > $o) > ($i > $o) > $i)).
% 3.33/0.91 thf(func_def_865, type, sK488: $o).
% 3.33/0.91 thf(func_def_869, type, sK492: $o).
% 3.33/0.91 thf(func_def_883, type, sK506: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_900, type, sK523: ($i > $i)).
% 3.33/0.91 thf(func_def_902, type, sK525: (($i > $i) > $i > $i > $i)).
% 3.33/0.91 thf(func_def_924, type, sK547: ($i > $o)).
% 3.33/0.91 thf(func_def_927, type, sK550: ($i > ($i > $o) > $i)).
% 3.33/0.91 thf(func_def_928, type, sK551: ($i > ($i > $o) > $i)).
% 3.33/0.91 thf(func_def_930, type, sK553: $o).
% 3.33/0.91 thf(func_def_937, type, sK560: $o).
% 3.33/0.91 thf(func_def_939, type, sK562: ($i > $i)).
% 3.33/0.91 thf(func_def_954, type, sK577: ($i > $i)).
% 3.33/0.91 thf(func_def_960, type, sK583: (($i > $o) > $i)).
% 3.33/0.91 thf(func_def_961, type, sK584: ($i > $o)).
% 3.33/0.91 thf(func_def_962, type, sK585: ($i > $i)).
% 3.33/0.91 thf(func_def_969, type, sK592: $o).
% 3.33/0.91 thf(func_def_986, type, sK609: ($i > $o)).
% 3.33/0.91 thf(func_def_991, type, sK614: ($i > $o)).
% 3.33/0.91 thf(func_def_994, type, sK617: ($i > $o)).
% 3.33/0.91 thf(func_def_997, type, sK620: $o).
% 3.33/0.91 thf(func_def_1015, type, sK638: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_1016, type, sK639: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_1027, type, sK650: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_1035, type, sK658: ($i > $i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1036, type, sK659: ($i > $i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1037, type, sK660: ($i > $i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1038, type, sK661: ($i > $i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1043, type, sK666: ($i > $i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1048, type, sK671: ($i > $o)).
% 3.33/0.91 thf(func_def_1049, type, sK672: ($i > ($i > $o) > $i)).
% 3.33/0.91 thf(func_def_1050, type, sK673: ($i > $o)).
% 3.33/0.91 thf(func_def_1055, type, sK678: $o).
% 3.33/0.91 thf(func_def_1062, type, sK685: ($i > $o)).
% 3.33/0.91 thf(func_def_1065, type, sK688: ($i > ($i > $o) > $i)).
% 3.33/0.91 thf(func_def_1077, type, sK700: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_1083, type, sK706: ($i > $o)).
% 3.33/0.91 thf(func_def_1087, type, sK710: (($i > $o) > $i > $i)).
% 3.33/0.91 thf(func_def_1089, type, sK712: ($i > $o)).
% 3.33/0.91 thf(func_def_1092, type, sK715: ($i > $o)).
% 3.33/0.91 thf(func_def_1095, type, sK718: ($i > ($i > $o) > $i)).
% 3.33/0.91 thf(func_def_1102, type, sK725: $o).
% 3.33/0.91 thf(func_def_1107, type, sK730: ($i > $i)).
% 3.33/0.91 thf(func_def_1110, type, sK733: ($i > $i > ($i > $i) > $i)).
% 3.33/0.91 thf(func_def_1123, type, sK746: (($i > $o) > $i > $i)).
% 3.33/0.91 thf(func_def_1125, type, sK748: ($i > $o)).
% 3.33/0.91 thf(func_def_1144, type, sK767: $o).
% 3.33/0.91 thf(func_def_1145, type, sK768: ($o > $i > $i > $i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1162, type, sK785: ($i > $i > $i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1166, type, sK789: ($i > $o)).
% 3.33/0.91 thf(func_def_1174, type, sK797: (($i > $o) > $i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1175, type, sK798: (($i > $o) > $i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1179, type, sK802: ($i > $o)).
% 3.33/0.91 thf(func_def_1188, type, sK811: ($i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1189, type, sK812: ($i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1190, type, sK813: ($i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1191, type, sK814: ($i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1194, type, sK817: ($i > $o)).
% 3.33/0.91 thf(func_def_1195, type, sK818: ($i > $o)).
% 3.33/0.91 thf(func_def_1196, type, sK819: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1197, type, sK820: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1213, type, sK836: $o).
% 3.33/0.91 thf(func_def_1218, type, sK841: ($i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1219, type, sK842: ($i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1254, type, sK877: ($i > $o)).
% 3.33/0.91 thf(func_def_1255, type, sK878: (($i > $o) > $i)).
% 3.33/0.91 thf(func_def_1260, type, sK883: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_1265, type, sK888: (($i > $o) > ($i > $o) > $i)).
% 3.33/0.91 thf(func_def_1266, type, sK889: (($i > $o) > ($i > $o) > $i)).
% 3.33/0.91 thf(func_def_1267, type, sK890: ($i > $o)).
% 3.33/0.91 thf(func_def_1268, type, sK891: ($i > $o)).
% 3.33/0.91 thf(func_def_1271, type, sK894: ($i > $i)).
% 3.33/0.91 thf(func_def_1272, type, sK895: (($i > $i) > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1290, type, sK913: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_1291, type, sK914: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_1292, type, sK915: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_1293, type, sK916: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_1294, type, sK917: ($i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1295, type, sK918: ($i > $i)).
% 3.33/0.91 thf(func_def_1296, type, sK919: ($i > $i)).
% 3.33/0.91 thf(func_def_1297, type, sK920: ($i > $i)).
% 3.33/0.91 thf(func_def_1298, type, sK921: ($i > $i)).
% 3.33/0.91 thf(func_def_1299, type, sK922: ($i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1300, type, sK923: ($i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1301, type, sK924: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_1302, type, sK925: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_1303, type, sK926: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_1305, type, sK928: ($i > $i)).
% 3.33/0.91 thf(func_def_1306, type, sK929: ($i > $i)).
% 3.33/0.91 thf(func_def_1307, type, sK930: ($i > $i)).
% 3.33/0.91 thf(func_def_1308, type, sK931: ($i > $i > $i)).
% 3.33/0.91 thf(func_def_1309, type, sK932: ($i > $o)).
% 3.33/0.91 thf(func_def_1311, type, sK934: ($i > ($i > $o) > $i)).
% 3.33/0.91 thf(func_def_1319, type, sK942: $o).
% 3.33/0.91 thf(func_def_1331, type, sK954: ($i > $o)).
% 3.33/0.91 thf(func_def_1333, type, sK956: (($i > $o) > $i > $i)).
% 3.33/0.91 thf(func_def_1334, type, sK957: (($i > $o) > $i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1335, type, sK958: (($i > $o) > $i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1339, type, sK962: ($i > $o)).
% 3.33/0.91 thf(func_def_1343, type, sK966: ($i > $o)).
% 3.33/0.91 thf(func_def_1345, type, sK968: (($i > $o) > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1346, type, sK969: (($i > $o) > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1348, type, sK971: $o).
% 3.33/0.91 thf(func_def_1349, type, sK972: ($i > $o)).
% 3.33/0.91 thf(func_def_1356, type, sK979: ($i > $o)).
% 3.33/0.91 thf(func_def_1358, type, sK981: (($i > $o) > $i > $i)).
% 3.33/0.91 thf(func_def_1361, type, sK984: ($i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1365, type, sK988: ($i > $i)).
% 3.33/0.91 thf(func_def_1377, type, sK1000: ($i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1399, type, sK1022: ($i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1400, type, sK1023: ($i > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1421, type, sK1044: ($i > $i)).
% 3.33/0.91 thf(func_def_1426, type, sK1049: ($i > $i > $o)).
% 3.33/0.91 thf(func_def_1430, type, sK1053: $o).
% 3.33/0.91 thf(func_def_1432, type, sK1055: (($i > $o) > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1433, type, sK1056: (($i > $o) > $i > $i > $i)).
% 3.33/0.91 thf(func_def_1436, type, sK1059: ($i > $o)).
% 3.33/0.91 thf(f314,axiom,(
% 3.33/0.91 (! [X0 : $i,X2 : $i,X1 : ($i > $i)] : ((in @ X2 @ (image1 @ X0 @ (^[X3 : $i] : ((X1 @ X3))))) <=> ? [X3 : $i] : ((in @ X3 @ X0) & (X2 = ((X1 @ X3))))) = image1Equiv)),
% 3.33/0.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image1Equiv)).
% 3.33/0.91 thf(f316,conjecture,(
% 3.33/0.91 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 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => ! [X0 : $i,X2 : $i,X1 : ($i > $i)] : (? [X3 : $i] : ((X2 = ((X1 @ X3))) & (in @ X3 @ X0)) => (in @ X2 @ (image1 @ X0 @ (^[X3 : $i] : ((X1 @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 3.33/0.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image1I)).
% 3.33/0.91 thf(f317,negated_conjecture,(
% 3.33/0.91 ~(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 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => ! [X0 : $i,X2 : $i,X1 : ($i > $i)] : (? [X3 : $i] : ((X2 = ((X1 @ X3))) & (in @ X3 @ X0)) => (in @ X2 @ (image1 @ X0 @ (^[X3 : $i] : ((X1 @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 3.33/0.91 inference(negated_conjecture,[status(cth)],[f316])).
% 3.33/0.91 thf(f425,plain,(
% 3.33/0.91 ~(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 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => ! [X0 : $i,X1 : $i,X2 : ($i > $i)] : (? [X3 : $i] : ((((X2 @ X3)) = X1) & (in @ X3 @ X0)) => (in @ X1 @ (image1 @ X0 @ (^[X4 : $i] : ((X2 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 3.33/0.91 inference(rectify,[],[f317])).
% 3.33/0.91 thf(f426,plain,(
% 3.33/0.91 ~((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) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ((demorgan1b = $true) => ((demorgan1 = $true) => ((demorgan2a = $true) => ((demorgan2b2 = $true) => ((demorgan2b = $true) => ((demorgan2 = $true) => ((woz13rule0 = $true) => ((woz13rule1 = $true) => ((woz13rule2 = $true) => ((woz13rule3 = $true) => ((woz13rule4 = $true) => ((woz1_1 = $true) => ((woz1_2 = $true) => ((woz1_3 = $true) => ((woz1_4 = $true) => ((woz1_5 = $true) => ((breln1all2 = $true) => ((breln1SetBreln1 = $true) => ((choice2fnsingleton = $true) => ((setOfPairsIsBReln1 = $true) => ((breln1all1 = $true) => ((subbreln1 = $true) => ((eqbreln1 = $true) => ((breln1invprop = $true) => ((breln1invI = $true) => ((breln1invE = $true) => ((breln1compprop = $true) => ((breln1compI = $true) => ((breln1compE = $true) => ((breln1compEex = $true) => ((breln1unionprop = $true) => ((breln1unionIL = $true) => ((breln1unionIR = $true) => ((breln1unionI = $true) => ((breln1unionE = $true) => ((breln1unionEcases = $true) => ((breln1unionCommutes = $true) => ((woz2Ex = $true) => ((woz2W = $true) => ((woz2A = $true) => ((woz2B = $true) => ((image1Ex = $true) => ((image1Ex1 = $true) => ((image1Equiv = $true) => ((image1E = $true) => ! [X2 : ($i > $i),X1 : $i,X0 : $i] : (? [X3 : $i] : ((((X2 @ X3)) = X1) & (((in @ X3 @ X0)) = $true)) => ($true = ((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 3.33/0.91 inference(fool_elimination,[],[f425])).
% 3.33/0.91 thf(f562,plain,(
% 3.33/0.91 (! [X0 : $i,X1 : $i,X2 : ($i > $i)] : ((in @ X1 @ (image1 @ X0 @ (^[X3 : $i] : ((X2 @ X3))))) <=> ? [X4 : $i] : ((in @ X4 @ X0) & (((X2 @ X4)) = X1))) = image1Equiv)),
% 3.33/0.91 inference(rectify,[],[f314])).
% 3.33/0.91 thf(f563,plain,(
% 3.33/0.91 ! [X0 : $i,X1 : $i,X2 : ($i > $i)] : (($true = ((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))))) <=> ? [X4 : $i] : ((((in @ X4 @ X0)) = $true) & (((X2 @ X4)) = X1))) <=> (image1Equiv = $true)),
% 3.33/0.91 inference(fool_elimination,[],[f562])).
% 3.33/0.91 thf(f964,plain,(
% 3.33/0.91 (image1Equiv = $true) <=> ! [X0 : $i,X1 : $i,X2 : ($i > $i)] : (? [X3 : $i] : ((((in @ X3 @ X0)) = $true) & (((X2 @ X3)) = X1)) <=> ($true = ((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))))))),
% 3.33/0.91 inference(rectify,[],[f563])).
% 3.33/0.91 thf(f1370,plain,(
% 3.33/0.91 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X1 : $i,X0 : $i,X2 : ($i > $i)] : (? [X3 : $i] : ((((X2 @ X3)) = X1) & (((in @ X3 @ X0)) = $true)) & ($true != ((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0))))))) & (image1E = $true)) & (image1Equiv = $true)) & (image1Ex1 = $true)) & (image1Ex = $true)) & (woz2B = $true)) & (woz2A = $true)) & (woz2W = $true)) & (woz2Ex = $true)) & (breln1unionCommutes = $true)) & (breln1unionEcases = $true)) & (breln1unionE = $true)) & (breln1unionI = $true)) & (breln1unionIR = $true)) & (breln1unionIL = $true)) & (breln1unionprop = $true)) & (breln1compEex = $true)) & (breln1compE = $true)) & (breln1compI = $true)) & (breln1compprop = $true)) & (breln1invE = $true)) & (breln1invI = $true)) & (breln1invprop = $true)) & (eqbreln1 = $true)) & (subbreln1 = $true)) & (breln1all1 = $true)) & (setOfPairsIsBReln1 = $true)) & (choice2fnsingleton = $true)) & (breln1SetBreln1 = $true)) & (breln1all2 = $true)) & (woz1_5 = $true)) & (woz1_4 = $true)) & (woz1_3 = $true)) & (woz1_2 = $true)) & (woz1_1 = $true)) & (woz13rule4 = $true)) & (woz13rule3 = $true)) & (woz13rule2 = $true)) & (woz13rule1 = $true)) & (woz13rule0 = $true)) & (demorgan2 = $true)) & (demorgan2b = $true)) & (demorgan2b2 = $true)) & (demorgan2a = $true)) & (demorgan1 = $true)) & (demorgan1b = $true)) & (demorgan1a = $true)) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (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)),
% 3.33/0.91 inference(ennf_transformation,[],[f426])).
% 3.33/0.91 thf(f1371,plain,(
% 3.33/0.91 (iffalseProp1 = $true) & (kfstpairEq = $true) & (setOfPairsIsBReln1 = $true) & (powersetE1 = $true) & (image1Ex = $true) & (notsubsetI = $true) & (breln1unionI = $true) & (exuE2 = $true) & (breln1invE = $true) & (binunionT_lem = $true) & (iffalseProp2 = $true) & (demorgan2a2 = $true) & (ex1E2 = $true) & (setadjoin__Cong = $true) & (woz1_1 = $true) & (in__Cong = $true) & (complementUnionInPowersetComplement = $true) & (dpsetconstrEL2 = $true) & (theprop = $true) & (binintersectLsub = $true) & (brelnall1 = $true) & (symdiffIneg1 = $true) & (funcImageSingleton = $true) & (emptyinunitempty = $true) & (binunionEcases = $true) & (inComplementUnionImpNotIn1 = $true) & (ksndsingleton = $true) & (prop2set2propI = $true) & (breln1SetBreln1 = $true) & (symdiffI2 = $true) & (exu__Cong = $true) & (upairset2E = $true) & (setext = $true) & (eqbreln = $true) & (doubleComplementEq = $true) & (ksndpairEq = $true) & (woz13rule3 = $true) & (lamp = $true) & (quantDeMorgan4 = $true) & (image1Ex1 = $true) & (setunionI = $true) & (demorgan1b = $true) & (notdexE = $true) & (ex1I = $true) & (notinsingleton = $true) & (dpsetconstrI = $true) & (setukpairinjR2 = $true) & (breln1unionCommutes = $true) & (setadjoinE = $true) & (complementT_lem = $true) & (nonemptyImpWitness = $true) & (prop2setI = $true) & (setminusER = $true) & (cartprodpairsurjEq = $true) & (singletonprop = $true) & (cartprodpairmemEL = $true) & (subsetTrans = $true) & (setukpairinjL2 = $true) & (inPowerset = $true) & (beta2 = $true) & (setunionsingleton = $true) & (woz13rule1 = $true) & (cartprodfstpairEq = $true) & (exuI3 = $true) & (setminusILneg = $true) & (nonemptyI1 = $true) & (binintersectSubset1 = $true) & (setukpairIL = $true) & (demorgan2a1 = $true) & (ap2p = $true) & (iftrue = $true) & (cartprodsndpairEq = $true) & (noeltsimpempty = $true) & (emptysetimpfalse = $true) & (symdiffIneg2 = $true) & (binunionTEcontra = $true) & (eta1 = $true) & (lamProp = $true) & (subsetI2 = $true) & (complementSubsetComplementIntersect = $true) & (breln1compprop = $true) & (setadjoinSub2 = $true) & (breln1compE = $true) & (eqimpsubset2 = $true) & (powersetTI1 = $true) & (dsetconstrI = $true) & (doubleComplementE1 = $true) & (quantDeMorgan3 = $true) & (bs114d = $true) & (powersetI = $true) & (exuE3u = $true) & (contrasubsetT2 = $true) & (emptyset__Cong = $true) & (subbreln = $true) & (contraSubsetComplement = $true) & (binintersectSubset2 = $true) & (singletonsubset = $true) & (binintersectSubset3 = $true) & (breln1invI = $true) & (complementTnotintersectT = $true) & (apProp = $true) & (complementTcontraSubset = $true) & (setadjoinAx = $true) & (image1Equiv = $true) & (binunionE = $true) & (nonemptyE1 = $true) & (setminusSubset1 = $true) & (woz1_4 = $true) & (exuI2 = $true) & (cartprodmempair = $true) & (dsetconstr__Cong = $true) & (lam2lamEq = $true) & (ifp = $true) & (woz13rule0 = $true) & (binintersectER = $true) & (upairsubunion = $true) & (eqimpsubset1 = $true) & (breln1unionEcases = $true) & (wellorderingAx = $true) & (demorgan1 = $true) & (ubforcartprodlem3 = $true) & (subset2powerset = $true) & (intersectInPowersetIntersectUnions = $true) & (inCongP = $true) & (funcGraphProp4 = $true) & (doubleComplementI1 = $true) & (subsetI1 = $true) & (binintersectT_lem = $true) & (dpsetconstrERa = $true) & (contrasubsetT1 = $true) & (binunionTE = $true) & ? [X1 : $i,X0 : $i,X2 : ($i > $i)] : (? [X3 : $i] : ((((X2 @ X3)) = X1) & (((in @ X3 @ X0)) = $true)) & ($true != ((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0))))))) & (complementTI1 = $true) & (omegaSAx = $true) & (foundationAx = $true) & (omega0Ax = $true) & (prop2setE = $true) & (notinemptyset = $true) & (inIntersectImpInUnion2 = $true) & (binintersectRsub = $true) & (breln1unionIR = $true) & (doubleComplementSub2 = $true) & (demorgan2 = $true) & (setunion__Cong = $true) & (binintersectEL = $true) & (complementTE1 = $true) & (setminusLsub = $true) & (eqbreln1 = $true) & (setbeta = $true) & (subsetE2 = $true) & (beta1 = $true) & (demorgan2a = $true) & (subsetE = $true) & (setunionsingleton1 = $true) & (notequalI2 = $true) & (setminusT_lem = $true) & (infuncsetfunc = $true) & (ex1I2 = $true) & (emptysetsubset = $true) & (cartprodpairmemER = $true) & (cartprodpairin = $true) & (lam2p = $true) & (singletoninpowerset = $true) & (doubleComplementSub1 = $true) & (setminusI = $true) & (setukpairinjR = $true) & (binunionRsub = $true) & (breln1compI = $true) & (funcGraphProp1 = $true) & (descrp = $true) & (powersetT_lem = $true) & (kfstsingleton = $true) & (singletonsuniq = $true) & (cartprodfstin = $true) & (subbreln1 = $true) & (omegaIndAx = $true) & (symdiffE = $true) & (breln1all2 = $true) & (setOfPairsIsBReln = $true) & (complementImpComplementIntersect = $true) & (setadjoinSub = $true) & (binintersectSubset4 = $true) & (ifSingleton = $true) & (setadjoinIL = $true) & (upairsetIR = $true) & (woz1_2 = $true) & (upairequniteq = $true) & (nonemptyI = $true) & (breln1unionprop = $true) & (singletoninpowunion = $true) & (setminusSubset2 = $true) & (setextT = $true) & (ubforcartprodlem2 = $true) & (funcinfuncset = $true) & (setextAx = $true) & (cartprodmempair1 = $true) & (complementInPowersetComplementIntersect = $true) & (demorgan1a = $true) & (woz2W = $true) & (eta2 = $true) & (ex1E1 = $true) & (setminusIRneg = $true) & (powersetI1 = $true) & (uniqinunit = $true) & (setadjoinOr = $true) & (descr__Cong = $true) & (setextsub = $true) & (breln1invprop = $true) & (binunionTIRcontra = $true) & (woz2A = $true) & (woz13rule2 = $true) & (binintersectTELcontra = $true) & (iftrueProp1 = $true) & (emptyE1 = $true) & (funcGraphProp2 = $true) & (binunionTILcontra = $true) & (kpairsurjEq = $true) & (woz1_3 = $true) & (exuI1 = $true) & (demorgan2b2 = $true) & (subsetRefl = $true) & (cartprodmempaircEq = $true) & (ubforcartprodlem1 = $true) & (emptyI = $true) & (quantDeMorgan1 = $true) & (binunionIL = $true) & (exuE1 = $true) & (upairsetIL = $true) & (binintersectTERcontra = $true) & (setunionE2 = $true) & (quantDeMorgan2 = $true) & (dsetconstrEL = $true) & (dsetconstrER = $true) & (setukpairinjR12 = $true) & (setukpairinjR1 = $true) & (setunionE = $true) & (ap2apEq1 = $true) & (binintersectI = $true) & (woz2Ex = $true) & (subsetemptysetimpeq = $true) & (powersetsubset = $true) & (setukpairinjL = $true) & (funcGraphProp3 = $true) & (demorgan2b = $true) & (contrasubsetT = $true) & (sepInPowerset = $true) & (kpairp = $true) & (contrasubsetT3 = $true) & (setukpairIR = $true) & (setunionsingleton2 = $true) & (upairset2IR = $true) & (breln1unionIL = $true) & (brelnall2 = $true) & (inComplementUnionImpInComplement1 = $true) & (funcext = $true) & (ap2apEq2 = $true) & (cartprodsndin = $true) & (setminusELneg = $true) & (omega__Cong = $true) & (breln1all1 = $true) & (dpsetconstrER = $true) & (woz13rule4 = $true) & (replAx = $true) & (kpairiskpair = $true) & (woz1_5 = $true) & (secondinupair = $true) & (choice2fnsingleton = $true) & (powersetTE1 = $true) & (setminusERneg = $true) & (emptysetAx = $true) & (emptyinPowerset = $true) & (eqinunit = $true) & (funcext2 = $true) & (dpsetconstrSub = $true) & (setukpairinjR11 = $true) & (image1E = $true) & (dpsetconstrEL1 = $true) & (emptyInPowerset = $true) & (setoftrueEq = $true) & (symdiffI1 = $true) & (breln1compEex = $true) & (notequalI1 = $true) & (setukpairinjL1 = $true) & (setadjoinIR = $true) & (theeq = $true) & (inIntersectImpInIntersectUnions = $true) & (subsetTI = $true) & (powersetAx = $true) & (iftrueorfalse = $true) & (inIntersectImpInUnion = $true) & (app = $true) & (disjointsetsI1 = $true) & (iftrueProp2 = $true) & (funcextLem = $true) & (subPowSU = $true) & (singletonsswitch = $true) & (binunionLsub = $true) & (woz2B = $true) & (emptysetE = $true) & (iffalse = $true) & (breln1unionE = $true) & (exuE3e = $true) & (powerset__Cong = $true) & (upairinpowunion = $true) & (vacuousDall = $true) & (exuEu = $true) & (powersetE = $true) & (upairsetE = $true) & (setunionAx = $true) & (binintersectSubset5 = $true) & (setminusEL = $true) & (binunionIR = $true) & (sepSubset = $true) & (notdallE = $true)),
% 3.33/0.91 inference(flattening,[],[f1370])).
% 3.33/0.91 thf(f1872,plain,(
% 3.33/0.91 ((image1Equiv = $true) | ? [X0 : $i,X1 : $i,X2 : ($i > $i)] : ((($true != ((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))))) | ! [X3 : $i] : ((((in @ X3 @ X0)) != $true) | (((X2 @ X3)) != X1))) & (($true = ((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))))) | ? [X3 : $i] : ((((in @ X3 @ X0)) = $true) & (((X2 @ X3)) = X1))))) & (! [X0 : $i,X1 : $i,X2 : ($i > $i)] : ((? [X3 : $i] : ((((in @ X3 @ X0)) = $true) & (((X2 @ X3)) = X1)) | ($true != ((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0))))))) & (($true = ((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))))) | ! [X3 : $i] : ((((in @ X3 @ X0)) != $true) | (((X2 @ X3)) != X1)))) | (image1Equiv != $true))),
% 3.33/0.91 inference(nnf_transformation,[],[f964])).
% 3.33/0.91 thf(f1873,plain,(
% 3.33/0.91 ((image1Equiv = $true) | ? [X0 : $i,X1 : $i,X2 : ($i > $i)] : ((($true != ((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))))) | ! [X3 : $i] : ((((in @ X3 @ X0)) != $true) | (((X2 @ X3)) != X1))) & (($true = ((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))))) | ? [X4 : $i] : ((((in @ X4 @ X0)) = $true) & (((X2 @ X4)) = X1))))) & (! [X5 : $i,X6 : $i,X7 : ($i > $i)] : ((? [X8 : $i] : (($true = ((in @ X8 @ X5))) & (((X7 @ X8)) = X6)) | ($true != ((in @ X6 @ (image1 @ X5 @ (^[Y0 : $i]: (X7 @ Y0))))))) & (($true = ((in @ X6 @ (image1 @ X5 @ (^[Y0 : $i]: (X7 @ Y0)))))) | ! [X9 : $i] : (($true != ((in @ X9 @ X5))) | (((X7 @ X9)) != X6)))) | (image1Equiv != $true))),
% 3.33/0.91 inference(rectify,[],[f1872])).
% 3.33/0.91 thf(f1874,plain,(
% 3.33/0.91 ((image1Equiv = $true) | ((($true != ((in @ sK522 @ (image1 @ sK521 @ (^[Y0 : $i]: (sK523 @ Y0)))))) | ! [X3 : $i] : (($true != ((in @ X3 @ sK521))) | (sK522 != ((sK523 @ X3))))) & (($true = ((in @ sK522 @ (image1 @ sK521 @ (^[Y0 : $i]: (sK523 @ Y0)))))) | (($true = ((in @ sK524 @ sK521))) & (sK522 = ((sK523 @ sK524))))))) & (! [X5 : $i,X6 : $i,X7 : ($i > $i)] : (((($true = ((in @ (sK525 @ X7 @ X6 @ X5) @ X5))) & (((X7 @ (sK525 @ X7 @ X6 @ X5))) = X6)) | ($true != ((in @ X6 @ (image1 @ X5 @ (^[Y0 : $i]: (X7 @ Y0))))))) & (($true = ((in @ X6 @ (image1 @ X5 @ (^[Y0 : $i]: (X7 @ Y0)))))) | ! [X9 : $i] : (($true != ((in @ X9 @ X5))) | (((X7 @ X9)) != X6)))) | (image1Equiv != $true))),
% 3.33/0.91 inference(skolemize,[status(esa),new_symbols(skolem,[sK521,sK522,sK523,sK524,vAPP]),skolemize(X0,sK521),skolemize(X1,sK522),skolemize(X2,sK523),skolemize(X4,sK524),skolemize(X11,sK47 @ X9 @ X7 @ X6)],[f1873])).
% 3.33/0.91 thf(f1922,plain,(
% 3.33/0.91 (iffalseProp1 = $true) & (kfstpairEq = $true) & (setOfPairsIsBReln1 = $true) & (powersetE1 = $true) & (image1Ex = $true) & (notsubsetI = $true) & (breln1unionI = $true) & (exuE2 = $true) & (breln1invE = $true) & (binunionT_lem = $true) & (iffalseProp2 = $true) & (demorgan2a2 = $true) & (ex1E2 = $true) & (setadjoin__Cong = $true) & (woz1_1 = $true) & (in__Cong = $true) & (complementUnionInPowersetComplement = $true) & (dpsetconstrEL2 = $true) & (theprop = $true) & (binintersectLsub = $true) & (brelnall1 = $true) & (symdiffIneg1 = $true) & (funcImageSingleton = $true) & (emptyinunitempty = $true) & (binunionEcases = $true) & (inComplementUnionImpNotIn1 = $true) & (ksndsingleton = $true) & (prop2set2propI = $true) & (breln1SetBreln1 = $true) & (symdiffI2 = $true) & (exu__Cong = $true) & (upairset2E = $true) & (setext = $true) & (eqbreln = $true) & (doubleComplementEq = $true) & (ksndpairEq = $true) & (woz13rule3 = $true) & (lamp = $true) & (quantDeMorgan4 = $true) & (image1Ex1 = $true) & (setunionI = $true) & (demorgan1b = $true) & (notdexE = $true) & (ex1I = $true) & (notinsingleton = $true) & (dpsetconstrI = $true) & (setukpairinjR2 = $true) & (breln1unionCommutes = $true) & (setadjoinE = $true) & (complementT_lem = $true) & (nonemptyImpWitness = $true) & (prop2setI = $true) & (setminusER = $true) & (cartprodpairsurjEq = $true) & (singletonprop = $true) & (cartprodpairmemEL = $true) & (subsetTrans = $true) & (setukpairinjL2 = $true) & (inPowerset = $true) & (beta2 = $true) & (setunionsingleton = $true) & (woz13rule1 = $true) & (cartprodfstpairEq = $true) & (exuI3 = $true) & (setminusILneg = $true) & (nonemptyI1 = $true) & (binintersectSubset1 = $true) & (setukpairIL = $true) & (demorgan2a1 = $true) & (ap2p = $true) & (iftrue = $true) & (cartprodsndpairEq = $true) & (noeltsimpempty = $true) & (emptysetimpfalse = $true) & (symdiffIneg2 = $true) & (binunionTEcontra = $true) & (eta1 = $true) & (lamProp = $true) & (subsetI2 = $true) & (complementSubsetComplementIntersect = $true) & (breln1compprop = $true) & (setadjoinSub2 = $true) & (breln1compE = $true) & (eqimpsubset2 = $true) & (powersetTI1 = $true) & (dsetconstrI = $true) & (doubleComplementE1 = $true) & (quantDeMorgan3 = $true) & (bs114d = $true) & (powersetI = $true) & (exuE3u = $true) & (contrasubsetT2 = $true) & (emptyset__Cong = $true) & (subbreln = $true) & (contraSubsetComplement = $true) & (binintersectSubset2 = $true) & (singletonsubset = $true) & (binintersectSubset3 = $true) & (breln1invI = $true) & (complementTnotintersectT = $true) & (apProp = $true) & (complementTcontraSubset = $true) & (setadjoinAx = $true) & (image1Equiv = $true) & (binunionE = $true) & (nonemptyE1 = $true) & (setminusSubset1 = $true) & (woz1_4 = $true) & (exuI2 = $true) & (cartprodmempair = $true) & (dsetconstr__Cong = $true) & (lam2lamEq = $true) & (ifp = $true) & (woz13rule0 = $true) & (binintersectER = $true) & (upairsubunion = $true) & (eqimpsubset1 = $true) & (breln1unionEcases = $true) & (wellorderingAx = $true) & (demorgan1 = $true) & (ubforcartprodlem3 = $true) & (subset2powerset = $true) & (intersectInPowersetIntersectUnions = $true) & (inCongP = $true) & (funcGraphProp4 = $true) & (doubleComplementI1 = $true) & (subsetI1 = $true) & (binintersectT_lem = $true) & (dpsetconstrERa = $true) & (contrasubsetT1 = $true) & (binunionTE = $true) & ? [X0 : $i,X1 : $i,X2 : ($i > $i)] : (? [X3 : $i] : ((((X2 @ X3)) = X0) & (((in @ X3 @ X1)) = $true)) & ($true != ((in @ X0 @ (image1 @ X1 @ (^[Y0 : $i]: (X2 @ Y0))))))) & (complementTI1 = $true) & (omegaSAx = $true) & (foundationAx = $true) & (omega0Ax = $true) & (prop2setE = $true) & (notinemptyset = $true) & (inIntersectImpInUnion2 = $true) & (binintersectRsub = $true) & (breln1unionIR = $true) & (doubleComplementSub2 = $true) & (demorgan2 = $true) & (setunion__Cong = $true) & (binintersectEL = $true) & (complementTE1 = $true) & (setminusLsub = $true) & (eqbreln1 = $true) & (setbeta = $true) & (subsetE2 = $true) & (beta1 = $true) & (demorgan2a = $true) & (subsetE = $true) & (setunionsingleton1 = $true) & (notequalI2 = $true) & (setminusT_lem = $true) & (infuncsetfunc = $true) & (ex1I2 = $true) & (emptysetsubset = $true) & (cartprodpairmemER = $true) & (cartprodpairin = $true) & (lam2p = $true) & (singletoninpowerset = $true) & (doubleComplementSub1 = $true) & (setminusI = $true) & (setukpairinjR = $true) & (binunionRsub = $true) & (breln1compI = $true) & (funcGraphProp1 = $true) & (descrp = $true) & (powersetT_lem = $true) & (kfstsingleton = $true) & (singletonsuniq = $true) & (cartprodfstin = $true) & (subbreln1 = $true) & (omegaIndAx = $true) & (symdiffE = $true) & (breln1all2 = $true) & (setOfPairsIsBReln = $true) & (complementImpComplementIntersect = $true) & (setadjoinSub = $true) & (binintersectSubset4 = $true) & (ifSingleton = $true) & (setadjoinIL = $true) & (upairsetIR = $true) & (woz1_2 = $true) & (upairequniteq = $true) & (nonemptyI = $true) & (breln1unionprop = $true) & (singletoninpowunion = $true) & (setminusSubset2 = $true) & (setextT = $true) & (ubforcartprodlem2 = $true) & (funcinfuncset = $true) & (setextAx = $true) & (cartprodmempair1 = $true) & (complementInPowersetComplementIntersect = $true) & (demorgan1a = $true) & (woz2W = $true) & (eta2 = $true) & (ex1E1 = $true) & (setminusIRneg = $true) & (powersetI1 = $true) & (uniqinunit = $true) & (setadjoinOr = $true) & (descr__Cong = $true) & (setextsub = $true) & (breln1invprop = $true) & (binunionTIRcontra = $true) & (woz2A = $true) & (woz13rule2 = $true) & (binintersectTELcontra = $true) & (iftrueProp1 = $true) & (emptyE1 = $true) & (funcGraphProp2 = $true) & (binunionTILcontra = $true) & (kpairsurjEq = $true) & (woz1_3 = $true) & (exuI1 = $true) & (demorgan2b2 = $true) & (subsetRefl = $true) & (cartprodmempaircEq = $true) & (ubforcartprodlem1 = $true) & (emptyI = $true) & (quantDeMorgan1 = $true) & (binunionIL = $true) & (exuE1 = $true) & (upairsetIL = $true) & (binintersectTERcontra = $true) & (setunionE2 = $true) & (quantDeMorgan2 = $true) & (dsetconstrEL = $true) & (dsetconstrER = $true) & (setukpairinjR12 = $true) & (setukpairinjR1 = $true) & (setunionE = $true) & (ap2apEq1 = $true) & (binintersectI = $true) & (woz2Ex = $true) & (subsetemptysetimpeq = $true) & (powersetsubset = $true) & (setukpairinjL = $true) & (funcGraphProp3 = $true) & (demorgan2b = $true) & (contrasubsetT = $true) & (sepInPowerset = $true) & (kpairp = $true) & (contrasubsetT3 = $true) & (setukpairIR = $true) & (setunionsingleton2 = $true) & (upairset2IR = $true) & (breln1unionIL = $true) & (brelnall2 = $true) & (inComplementUnionImpInComplement1 = $true) & (funcext = $true) & (ap2apEq2 = $true) & (cartprodsndin = $true) & (setminusELneg = $true) & (omega__Cong = $true) & (breln1all1 = $true) & (dpsetconstrER = $true) & (woz13rule4 = $true) & (replAx = $true) & (kpairiskpair = $true) & (woz1_5 = $true) & (secondinupair = $true) & (choice2fnsingleton = $true) & (powersetTE1 = $true) & (setminusERneg = $true) & (emptysetAx = $true) & (emptyinPowerset = $true) & (eqinunit = $true) & (funcext2 = $true) & (dpsetconstrSub = $true) & (setukpairinjR11 = $true) & (image1E = $true) & (dpsetconstrEL1 = $true) & (emptyInPowerset = $true) & (setoftrueEq = $true) & (symdiffI1 = $true) & (breln1compEex = $true) & (notequalI1 = $true) & (setukpairinjL1 = $true) & (setadjoinIR = $true) & (theeq = $true) & (inIntersectImpInIntersectUnions = $true) & (subsetTI = $true) & (powersetAx = $true) & (iftrueorfalse = $true) & (inIntersectImpInUnion = $true) & (app = $true) & (disjointsetsI1 = $true) & (iftrueProp2 = $true) & (funcextLem = $true) & (subPowSU = $true) & (singletonsswitch = $true) & (binunionLsub = $true) & (woz2B = $true) & (emptysetE = $true) & (iffalse = $true) & (breln1unionE = $true) & (exuE3e = $true) & (powerset__Cong = $true) & (upairinpowunion = $true) & (vacuousDall = $true) & (exuEu = $true) & (powersetE = $true) & (upairsetE = $true) & (setunionAx = $true) & (binintersectSubset5 = $true) & (setminusEL = $true) & (binunionIR = $true) & (sepSubset = $true) & (notdallE = $true)),
% 3.33/0.91 inference(rectify,[],[f1371])).
% 3.33/0.91 thf(f1923,plain,(
% 3.33/0.91 (iffalseProp1 = $true) & (kfstpairEq = $true) & (setOfPairsIsBReln1 = $true) & (powersetE1 = $true) & (image1Ex = $true) & (notsubsetI = $true) & (breln1unionI = $true) & (exuE2 = $true) & (breln1invE = $true) & (binunionT_lem = $true) & (iffalseProp2 = $true) & (demorgan2a2 = $true) & (ex1E2 = $true) & (setadjoin__Cong = $true) & (woz1_1 = $true) & (in__Cong = $true) & (complementUnionInPowersetComplement = $true) & (dpsetconstrEL2 = $true) & (theprop = $true) & (binintersectLsub = $true) & (brelnall1 = $true) & (symdiffIneg1 = $true) & (funcImageSingleton = $true) & (emptyinunitempty = $true) & (binunionEcases = $true) & (inComplementUnionImpNotIn1 = $true) & (ksndsingleton = $true) & (prop2set2propI = $true) & (breln1SetBreln1 = $true) & (symdiffI2 = $true) & (exu__Cong = $true) & (upairset2E = $true) & (setext = $true) & (eqbreln = $true) & (doubleComplementEq = $true) & (ksndpairEq = $true) & (woz13rule3 = $true) & (lamp = $true) & (quantDeMorgan4 = $true) & (image1Ex1 = $true) & (setunionI = $true) & (demorgan1b = $true) & (notdexE = $true) & (ex1I = $true) & (notinsingleton = $true) & (dpsetconstrI = $true) & (setukpairinjR2 = $true) & (breln1unionCommutes = $true) & (setadjoinE = $true) & (complementT_lem = $true) & (nonemptyImpWitness = $true) & (prop2setI = $true) & (setminusER = $true) & (cartprodpairsurjEq = $true) & (singletonprop = $true) & (cartprodpairmemEL = $true) & (subsetTrans = $true) & (setukpairinjL2 = $true) & (inPowerset = $true) & (beta2 = $true) & (setunionsingleton = $true) & (woz13rule1 = $true) & (cartprodfstpairEq = $true) & (exuI3 = $true) & (setminusILneg = $true) & (nonemptyI1 = $true) & (binintersectSubset1 = $true) & (setukpairIL = $true) & (demorgan2a1 = $true) & (ap2p = $true) & (iftrue = $true) & (cartprodsndpairEq = $true) & (noeltsimpempty = $true) & (emptysetimpfalse = $true) & (symdiffIneg2 = $true) & (binunionTEcontra = $true) & (eta1 = $true) & (lamProp = $true) & (subsetI2 = $true) & (complementSubsetComplementIntersect = $true) & (breln1compprop = $true) & (setadjoinSub2 = $true) & (breln1compE = $true) & (eqimpsubset2 = $true) & (powersetTI1 = $true) & (dsetconstrI = $true) & (doubleComplementE1 = $true) & (quantDeMorgan3 = $true) & (bs114d = $true) & (powersetI = $true) & (exuE3u = $true) & (contrasubsetT2 = $true) & (emptyset__Cong = $true) & (subbreln = $true) & (contraSubsetComplement = $true) & (binintersectSubset2 = $true) & (singletonsubset = $true) & (binintersectSubset3 = $true) & (breln1invI = $true) & (complementTnotintersectT = $true) & (apProp = $true) & (complementTcontraSubset = $true) & (setadjoinAx = $true) & (image1Equiv = $true) & (binunionE = $true) & (nonemptyE1 = $true) & (setminusSubset1 = $true) & (woz1_4 = $true) & (exuI2 = $true) & (cartprodmempair = $true) & (dsetconstr__Cong = $true) & (lam2lamEq = $true) & (ifp = $true) & (woz13rule0 = $true) & (binintersectER = $true) & (upairsubunion = $true) & (eqimpsubset1 = $true) & (breln1unionEcases = $true) & (wellorderingAx = $true) & (demorgan1 = $true) & (ubforcartprodlem3 = $true) & (subset2powerset = $true) & (intersectInPowersetIntersectUnions = $true) & (inCongP = $true) & (funcGraphProp4 = $true) & (doubleComplementI1 = $true) & (subsetI1 = $true) & (binintersectT_lem = $true) & (dpsetconstrERa = $true) & (contrasubsetT1 = $true) & (binunionTE = $true) & (((sK575 = ((sK577 @ sK578))) & ($true = ((in @ sK578 @ sK576)))) & ($true != ((in @ sK575 @ (image1 @ sK576 @ (^[Y0 : $i]: (sK577 @ Y0))))))) & (complementTI1 = $true) & (omegaSAx = $true) & (foundationAx = $true) & (omega0Ax = $true) & (prop2setE = $true) & (notinemptyset = $true) & (inIntersectImpInUnion2 = $true) & (binintersectRsub = $true) & (breln1unionIR = $true) & (doubleComplementSub2 = $true) & (demorgan2 = $true) & (setunion__Cong = $true) & (binintersectEL = $true) & (complementTE1 = $true) & (setminusLsub = $true) & (eqbreln1 = $true) & (setbeta = $true) & (subsetE2 = $true) & (beta1 = $true) & (demorgan2a = $true) & (subsetE = $true) & (setunionsingleton1 = $true) & (notequalI2 = $true) & (setminusT_lem = $true) & (infuncsetfunc = $true) & (ex1I2 = $true) & (emptysetsubset = $true) & (cartprodpairmemER = $true) & (cartprodpairin = $true) & (lam2p = $true) & (singletoninpowerset = $true) & (doubleComplementSub1 = $true) & (setminusI = $true) & (setukpairinjR = $true) & (binunionRsub = $true) & (breln1compI = $true) & (funcGraphProp1 = $true) & (descrp = $true) & (powersetT_lem = $true) & (kfstsingleton = $true) & (singletonsuniq = $true) & (cartprodfstin = $true) & (subbreln1 = $true) & (omegaIndAx = $true) & (symdiffE = $true) & (breln1all2 = $true) & (setOfPairsIsBReln = $true) & (complementImpComplementIntersect = $true) & (setadjoinSub = $true) & (binintersectSubset4 = $true) & (ifSingleton = $true) & (setadjoinIL = $true) & (upairsetIR = $true) & (woz1_2 = $true) & (upairequniteq = $true) & (nonemptyI = $true) & (breln1unionprop = $true) & (singletoninpowunion = $true) & (setminusSubset2 = $true) & (setextT = $true) & (ubforcartprodlem2 = $true) & (funcinfuncset = $true) & (setextAx = $true) & (cartprodmempair1 = $true) & (complementInPowersetComplementIntersect = $true) & (demorgan1a = $true) & (woz2W = $true) & (eta2 = $true) & (ex1E1 = $true) & (setminusIRneg = $true) & (powersetI1 = $true) & (uniqinunit = $true) & (setadjoinOr = $true) & (descr__Cong = $true) & (setextsub = $true) & (breln1invprop = $true) & (binunionTIRcontra = $true) & (woz2A = $true) & (woz13rule2 = $true) & (binintersectTELcontra = $true) & (iftrueProp1 = $true) & (emptyE1 = $true) & (funcGraphProp2 = $true) & (binunionTILcontra = $true) & (kpairsurjEq = $true) & (woz1_3 = $true) & (exuI1 = $true) & (demorgan2b2 = $true) & (subsetRefl = $true) & (cartprodmempaircEq = $true) & (ubforcartprodlem1 = $true) & (emptyI = $true) & (quantDeMorgan1 = $true) & (binunionIL = $true) & (exuE1 = $true) & (upairsetIL = $true) & (binintersectTERcontra = $true) & (setunionE2 = $true) & (quantDeMorgan2 = $true) & (dsetconstrEL = $true) & (dsetconstrER = $true) & (setukpairinjR12 = $true) & (setukpairinjR1 = $true) & (setunionE = $true) & (ap2apEq1 = $true) & (binintersectI = $true) & (woz2Ex = $true) & (subsetemptysetimpeq = $true) & (powersetsubset = $true) & (setukpairinjL = $true) & (funcGraphProp3 = $true) & (demorgan2b = $true) & (contrasubsetT = $true) & (sepInPowerset = $true) & (kpairp = $true) & (contrasubsetT3 = $true) & (setukpairIR = $true) & (setunionsingleton2 = $true) & (upairset2IR = $true) & (breln1unionIL = $true) & (brelnall2 = $true) & (inComplementUnionImpInComplement1 = $true) & (funcext = $true) & (ap2apEq2 = $true) & (cartprodsndin = $true) & (setminusELneg = $true) & (omega__Cong = $true) & (breln1all1 = $true) & (dpsetconstrER = $true) & (woz13rule4 = $true) & (replAx = $true) & (kpairiskpair = $true) & (woz1_5 = $true) & (secondinupair = $true) & (choice2fnsingleton = $true) & (powersetTE1 = $true) & (setminusERneg = $true) & (emptysetAx = $true) & (emptyinPowerset = $true) & (eqinunit = $true) & (funcext2 = $true) & (dpsetconstrSub = $true) & (setukpairinjR11 = $true) & (image1E = $true) & (dpsetconstrEL1 = $true) & (emptyInPowerset = $true) & (setoftrueEq = $true) & (symdiffI1 = $true) & (breln1compEex = $true) & (notequalI1 = $true) & (setukpairinjL1 = $true) & (setadjoinIR = $true) & (theeq = $true) & (inIntersectImpInIntersectUnions = $true) & (subsetTI = $true) & (powersetAx = $true) & (iftrueorfalse = $true) & (inIntersectImpInUnion = $true) & (app = $true) & (disjointsetsI1 = $true) & (iftrueProp2 = $true) & (funcextLem = $true) & (subPowSU = $true) & (singletonsswitch = $true) & (binunionLsub = $true) & (woz2B = $true) & (emptysetE = $true) & (iffalse = $true) & (breln1unionE = $true) & (exuE3e = $true) & (powerset__Cong = $true) & (upairinpowunion = $true) & (vacuousDall = $true) & (exuEu = $true) & (powersetE = $true) & (upairsetE = $true) & (setunionAx = $true) & (binintersectSubset5 = $true) & (setminusEL = $true) & (binunionIR = $true) & (sepSubset = $true) & (notdallE = $true)),
% 3.33/0.91 inference(skolemize,[status(esa),new_symbols(skolem,[sK575,sK576,sK577,sK578]),skolemize(X0,sK575),skolemize(X1,sK576),skolemize(X2,sK577),skolemize(X3,sK578)],[f1922])).
% 3.33/0.91 thf(f3067,plain,(
% 3.33/0.91 ( ! [X6 : $i,X9 : $i,X7 : ($i > $i),X5 : $i] : (($true = ((in @ X6 @ (image1 @ X5 @ (^[Y0 : $i]: (X7 @ Y0)))))) | ($true != ((in @ X9 @ X5))) | (((X7 @ X9)) != X6) | (image1Equiv != $true)) )),
% 3.33/0.91 inference(cnf_transformation,[],[f1874])).
% 3.33/0.91 thf(f3326,plain,(
% 3.33/0.91 ($true != ((in @ sK575 @ (image1 @ sK576 @ (^[Y0 : $i]: (sK577 @ Y0))))))),
% 3.33/0.91 inference(cnf_transformation,[],[f1923])).
% 3.33/0.91 thf(f3327,plain,(
% 3.33/0.91 ($true = ((in @ sK578 @ sK576)))),
% 3.33/0.91 inference(cnf_transformation,[],[f1923])).
% 3.33/0.91 thf(f3328,plain,(
% 3.33/0.91 (sK575 = ((sK577 @ sK578)))),
% 3.33/0.91 inference(cnf_transformation,[],[f1923])).
% 3.33/0.91 thf(f3356,plain,(
% 3.33/0.91 (image1Equiv = $true)),
% 3.33/0.91 inference(cnf_transformation,[],[f1923])).
% 3.33/0.91 thf(f4126,definition,(
% 3.33/0.91 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 3.33/0.91 introduced(theory,[fool_exhaustiveness_axiom])).
% 3.33/0.91 thf(f4151,plain,(
% 3.33/0.91 ( ! [X9 : $i,X7 : ($i > $i),X5 : $i] : ((image1Equiv != $true) | ($true = ((in @ (X7 @ X9) @ (image1 @ X5 @ (^[Y0 : $i]: (X7 @ Y0)))))) | ($true != ((in @ X9 @ X5)))) )),
% 3.33/0.91 inference(equality_resolution,[],[f3067])).
% 3.33/0.91 thf(f4261,plain,(
% 3.33/0.91 ( ! [X9 : $i,X7 : ($i > $i),X5 : $i] : (($true = ((in @ (X7 @ X9) @ (image1 @ X5 @ X7)))) | (image1Equiv != $true) | ($true != ((in @ X9 @ X5)))) )),
% 3.33/0.91 inference(beta-eta_normalization,[],[f4151])).
% 3.33/0.91 thf(f4315,plain,(
% 3.33/0.91 ($true != ((in @ sK575 @ (image1 @ sK576 @ sK577))))),
% 3.33/0.91 inference(beta-eta_normalization,[],[f3326])).
% 3.33/0.91 thf(f4316,plain,(
% 3.33/0.91 ( ! [X0 : $i] : (($true != ((in @ sK578 @ X0))) | (image1Equiv != $true) | ($true = ((in @ sK575 @ (image1 @ X0 @ sK577))))) )),
% 3.33/0.91 inference(constrained_superposition,[],[f4261,f3328])).
% 3.33/0.91 thf(f4319,plain,(
% 3.33/0.91 ( ! [X0 : $i] : (($true = ((in @ sK575 @ (image1 @ X0 @ sK577)))) | ($true != ((in @ sK578 @ X0)))) )),
% 3.33/0.91 inference(forward_subsumption_resolution,[],[f4316,f3356])).
% 3.33/0.91 thf(f4340,plain,(
% 3.33/0.91 ($true != $true) | (((in @ sK575 @ (image1 @ sK576 @ sK577))) = $false)),
% 3.33/0.91 inference(constrained_superposition,[],[f4315,f4126])).
% 3.33/0.91 thf(f4346,plain,(
% 3.33/0.91 (((in @ sK575 @ (image1 @ sK576 @ sK577))) = $false)),
% 3.33/0.91 inference(trivial_inequality_removal,[],[f4340])).
% 3.33/0.91 thf(f4386,plain,(
% 3.33/0.91 ($true = $false) | ($true != ((in @ sK578 @ sK576)))),
% 3.33/0.91 inference(constrained_superposition,[],[f4319,f4346])).
% 3.33/0.91 thf(f4392,plain,(
% 3.33/0.91 ($true != ((in @ sK578 @ sK576)))),
% 3.33/0.91 inference(trivial_inequality_removal,[],[f4386])).
% 3.33/0.91 thf(f4397,plain,(
% 3.33/0.91 $false),
% 3.33/0.91 inference(forward_subsumption_resolution,[],[f4392,f3327])).
% 3.33/0.91 % SZS output end Proof for theBenchmark
% 3.33/0.91 % (3240656)------------------------------
% 3.33/0.91 % (3240656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/0.91 % (3240656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/0.91 % (3240656)CaDiCaL version: 2.1.3
% 3.33/0.91 % (3240656)Termination reason: Refutation
% 3.33/0.91 % (3240656)Time elapsed: 0.184 s
% 3.33/0.91 % (3240656)Peak memory usage: 19 MB
% 3.33/0.91 % (3240656)Instructions burned: 383 (million)
% 3.33/0.91 % (3240436)Success in time 0.569 s
% 3.33/0.91 % Vampire exiting
%------------------------------------------------------------------------------