%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU716^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:30:55 AM UTC 2026
% Result : Theorem 4.56s 1.20s
% Output : Refutation 4.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU716^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.29 % Computer : n016.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8046.5625MB
% 0.12/0.29 % OS : Linux 6.8.0-71-generic
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Tue Sep 29 14:19:42 UTC 2026
% 0.12/0.30 % CPUTime :
% 0.12/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.30/0.35 Running higher-order theorem proving
% 0.37/0.44 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.28/0.72 % (421096)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.28/0.72 % (421103)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3380366155:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.28/0.72 % (421103)Instruction limit reached!
% 1.28/0.72 % (421103)------------------------------
% 1.28/0.72 % (421103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.72 % (421103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.72 % (421103)CaDiCaL version: 2.1.3
% 1.28/0.72 % (421103)Termination reason: Instruction limit
% 1.28/0.72 % (421103)Termination phase: shuffling
% 1.28/0.72 % (421103)Time elapsed: 0.004 s
% 1.28/0.72 % (421103)Peak memory usage: 10 MB
% 1.28/0.72 % (421103)Instructions burned: 4 (million)
% 1.28/0.72 % (421107)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.28/0.72 % (421107)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.28/0.72 % (421107)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=2770842895:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.28/0.72 % (421101)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4078649756:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.28/0.72 % (421104)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=3496196685: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)
% 1.28/0.72 % (421102)lrs+10_16_si=on:nwc=1.5:random_seed=3300529179:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.28/0.72 % (421105)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1963227794:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.28/0.72 % (421106)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3273597598:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.28/0.72 % (421109)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1301719964:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.28/0.72 % (421109)Instruction limit reached!
% 1.28/0.72 % (421109)------------------------------
% 1.28/0.72 % (421109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.72 % (421109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.72 % (421109)CaDiCaL version: 2.1.3
% 1.28/0.72 % (421109)Termination reason: Instruction limit
% 1.28/0.72 % (421109)Termination phase: shuffling
% 1.28/0.72 % (421109)Time elapsed: 0.004 s
% 1.28/0.72 % (421109)Peak memory usage: 10 MB
% 1.28/0.72 % (421109)Instructions burned: 3 (million)
% 1.28/0.72 % (421102)Instruction limit reached!
% 1.28/0.72 % (421102)------------------------------
% 1.28/0.72 % (421102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.72 % (421102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.72 % (421102)CaDiCaL version: 2.1.3
% 1.28/0.72 % (421102)Termination reason: Instruction limit
% 1.28/0.72 % (421102)Termination phase: shuffling
% 1.28/0.72 % (421102)Time elapsed: 0.017 s
% 1.28/0.72 % (421102)Peak memory usage: 10 MB
% 1.28/0.72 % (421102)Instructions burned: 19 (million)
% 1.28/0.72 % (421105)Instruction limit reached!
% 1.28/0.72 % (421105)------------------------------
% 1.28/0.72 % (421105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.72 % (421105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.72 % (421105)CaDiCaL version: 2.1.3
% 1.28/0.72 % (421105)Termination reason: Instruction limit
% 1.28/0.72 % (421105)Termination phase: Property scanning
% 1.28/0.72 % (421105)Time elapsed: 0.021 s
% 1.28/0.72 % (421105)Peak memory usage: 10 MB
% 1.28/0.72 % (421105)Instructions burned: 24 (million)
% 1.28/0.72 % (421101)Instruction limit reached!
% 1.28/0.72 % (421101)------------------------------
% 1.28/0.72 % (421101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.72 % (421101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.78 % (421101)CaDiCaL version: 2.1.3
% 1.28/0.78 % (421101)Termination reason: Instruction limit
% 1.28/0.78 % (421101)Termination phase: Preprocessing 3
% 1.28/0.78 % (421101)Time elapsed: 0.040 s
% 1.28/0.78 % (421101)Peak memory usage: 13 MB
% 1.28/0.78 % (421101)Instructions burned: 88 (million)
% 1.28/0.78 % (421118)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.28/0.78 % (421120)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.28/0.78 % (421120)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.28/0.78 % (421117)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=763200729:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2998 on theBenchmark for (2998ds/5Mi)
% 1.28/0.78 % (421118)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2255238504:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.28/0.78 % (421120)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1336547248:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.28/0.78 % (421117)Instruction limit reached!
% 1.28/0.78 % (421117)------------------------------
% 1.28/0.78 % (421117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.78 % (421117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.78 % (421117)CaDiCaL version: 2.1.3
% 1.28/0.78 % (421117)Termination reason: Instruction limit
% 1.28/0.78 % (421117)Termination phase: shuffling
% 1.28/0.78 % (421117)Time elapsed: 0.005 s
% 1.28/0.78 % (421117)Peak memory usage: 10 MB
% 1.28/0.78 % (421117)Instructions burned: 5 (million)
% 1.28/0.78 % (421118)Instruction limit reached!
% 1.28/0.78 % (421118)------------------------------
% 1.28/0.78 % (421118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.78 % (421118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.78 % (421119)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=898061276:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 1.28/0.78 % (421118)CaDiCaL version: 2.1.3
% 1.28/0.78 % (421118)Termination reason: Instruction limit
% 1.28/0.78 % (421118)Termination phase: shuffling
% 1.28/0.78 % (421118)Time elapsed: 0.007 s
% 1.28/0.78 % (421118)Peak memory usage: 10 MB
% 1.28/0.78 % (421118)Instructions burned: 7 (million)
% 1.28/0.78 % (421106)Instruction limit reached!
% 1.28/0.78 % (421106)------------------------------
% 1.28/0.78 % (421106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.78 % (421106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.78 % (421106)CaDiCaL version: 2.1.3
% 1.28/0.78 % (421106)Termination reason: Instruction limit
% 1.28/0.78 % (421106)Termination phase: Preprocessing 3
% 1.28/0.78 % (421106)Time elapsed: 0.063 s
% 1.28/0.78 % (421106)Peak memory usage: 12 MB
% 1.28/0.78 % (421106)Instructions burned: 75 (million)
% 1.28/0.78 % (421120)Instruction limit reached!
% 1.28/0.78 % (421120)------------------------------
% 1.28/0.78 % (421120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.78 % (421120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.78 % (421120)CaDiCaL version: 2.1.3
% 1.28/0.78 % (421120)Termination reason: Instruction limit
% 1.28/0.78 % (421120)Termination phase: shuffling
% 1.28/0.78 % (421120)Time elapsed: 0.013 s
% 1.28/0.78 % (421120)Peak memory usage: 10 MB
% 1.28/0.78 % (421120)Instructions burned: 30 (million)
% 1.28/0.78 % (421119)Instruction limit reached!
% 1.28/0.78 % (421119)------------------------------
% 1.28/0.78 % (421119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.78 % (421119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.78 % (421119)CaDiCaL version: 2.1.3
% 1.28/0.78 % (421119)Termination reason: Instruction limit
% 1.28/0.78 % (421119)Termination phase: shuffling
% 1.28/0.78 % (421119)Time elapsed: 0.011 s
% 1.28/0.78 % (421119)Peak memory usage: 10 MB
% 1.85/0.86 % (421119)Instructions burned: 12 (million)
% 1.85/0.86 % (421127)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.85/0.86 % (421127)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=2263396983:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.85/0.86 % (421127)Instruction limit reached!
% 1.85/0.86 % (421127)------------------------------
% 1.85/0.86 % (421127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.86 % (421127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.86 % (421127)CaDiCaL version: 2.1.3
% 1.85/0.86 % (421127)Termination reason: Instruction limit
% 1.85/0.86 % (421127)Termination phase: shuffling
% 1.85/0.86 % (421127)Time elapsed: 0.002 s
% 1.85/0.86 % (421127)Peak memory usage: 10 MB
% 1.85/0.86 % (421127)Instructions burned: 4 (million)
% 1.85/0.86 % (421124)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=1248837153:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.85/0.86 % (421126)lrs+10_1_si=on:cs=on:random_seed=2515947445:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.85/0.86 % (421126)Instruction limit reached!
% 1.85/0.86 % (421126)------------------------------
% 1.85/0.86 % (421126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.86 % (421126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.86 % (421126)CaDiCaL version: 2.1.3
% 1.85/0.86 % (421126)Termination reason: Instruction limit
% 1.85/0.86 % (421126)Termination phase: shuffling
% 1.85/0.86 % (421126)Time elapsed: 0.007 s
% 1.85/0.86 % (421126)Peak memory usage: 10 MB
% 1.85/0.86 % (421126)Instructions burned: 8 (million)
% 1.85/0.86 % (421128)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2453259110:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.85/0.86 % (421129)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2997625081:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.85/0.86 % (421131)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=603028092:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/25Mi)
% 1.85/0.86 % (421131)Instruction limit reached!
% 1.85/0.86 % (421131)------------------------------
% 1.85/0.86 % (421131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.86 % (421131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.86 % (421131)CaDiCaL version: 2.1.3
% 1.85/0.86 % (421131)Termination reason: Instruction limit
% 1.85/0.86 % (421131)Termination phase: Property scanning
% 1.85/0.86 % (421131)Time elapsed: 0.012 s
% 1.85/0.86 % (421131)Peak memory usage: 10 MB
% 1.85/0.86 % (421131)Instructions burned: 26 (million)
% 1.85/0.86 % (421107)Instruction limit reached!
% 1.85/0.86 % (421107)------------------------------
% 1.85/0.86 % (421107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.86 % (421107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.86 % (421107)CaDiCaL version: 2.1.3
% 1.85/0.86 % (421107)Termination reason: Instruction limit
% 1.85/0.86 % (421107)Termination phase: Saturation
% 1.85/0.86 % (421107)Time elapsed: 0.129 s
% 1.85/0.86 % (421107)Peak memory usage: 13 MB
% 1.85/0.86 % (421107)Instructions burned: 159 (million)
% 1.85/0.86 % (421128)Instruction limit reached!
% 1.85/0.86 % (421128)------------------------------
% 1.85/0.86 % (421128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.86 % (421128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.86 % (421128)CaDiCaL version: 2.1.3
% 1.85/0.86 % (421128)Termination reason: Instruction limit
% 1.85/0.86 % (421128)Termination phase: SInE selection
% 1.85/0.86 % (421128)Time elapsed: 0.032 s
% 1.85/0.86 % (421128)Peak memory usage: 11 MB
% 1.85/0.86 % (421128)Instructions burned: 39 (million)
% 1.85/0.86 % (421135)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1971401798:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.85/0.86 % (421138)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1287802039:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/327Mi)
% 2.69/0.91 % (421135)Instruction limit reached!
% 2.69/0.91 % (421135)------------------------------
% 2.69/0.91 % (421135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.91 % (421135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.91 % (421135)CaDiCaL version: 2.1.3
% 2.69/0.91 % (421135)Termination reason: Instruction limit
% 2.69/0.91 % (421135)Termination phase: shuffling
% 2.69/0.91 % (421135)Time elapsed: 0.013 s
% 2.69/0.91 % (421135)Peak memory usage: 10 MB
% 2.69/0.91 % (421135)Instructions burned: 15 (million)
% 2.69/0.91 % (421139)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2902131634:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/14Mi)
% 2.69/0.91 % (421124)Instruction limit reached!
% 2.69/0.91 % (421124)------------------------------
% 2.69/0.91 % (421124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.91 % (421124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.91 % (421124)CaDiCaL version: 2.1.3
% 2.69/0.91 % (421124)Termination reason: Instruction limit
% 2.69/0.91 % (421124)Termination phase: Property scanning
% 2.69/0.91 % (421124)Time elapsed: 0.070 s
% 2.69/0.91 % (421124)Peak memory usage: 11 MB
% 2.69/0.91 % (421124)Instructions burned: 86 (million)
% 2.69/0.91 % (421141)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1432202411:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 2.69/0.91 % (421139)Instruction limit reached!
% 2.69/0.91 % (421139)------------------------------
% 2.69/0.91 % (421139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.91 % (421139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.91 % (421139)CaDiCaL version: 2.1.3
% 2.69/0.91 % (421139)Termination reason: Instruction limit
% 2.69/0.91 % (421139)Termination phase: shuffling
% 2.69/0.91 % (421139)Time elapsed: 0.012 s
% 2.69/0.91 % (421139)Peak memory usage: 10 MB
% 2.69/0.91 % (421139)Instructions burned: 14 (million)
% 2.69/0.91 % (421141)Instruction limit reached!
% 2.69/0.91 % (421141)------------------------------
% 2.69/0.91 % (421141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.91 % (421141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.91 % (421141)CaDiCaL version: 2.1.3
% 2.69/0.91 % (421141)Termination reason: Instruction limit
% 2.69/0.91 % (421141)Termination phase: shuffling
% 2.69/0.91 % (421141)Time elapsed: 0.003 s
% 2.69/0.91 % (421141)Peak memory usage: 10 MB
% 2.69/0.91 % (421141)Instructions burned: 2 (million)
% 2.69/0.91 % (421143)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=766885613:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 2.69/0.91 % (421145)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1184547813:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.69/0.91 % (421148)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
% 2.69/0.91 % (421148)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.69/0.91 % (421147)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=714263480:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.69/0.91 % (421148)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=2128993443:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.69/0.91 % (421143)Instruction limit reached!
% 2.69/0.91 % (421143)------------------------------
% 2.69/0.91 % (421143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.91 % (421143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.91 % (421143)CaDiCaL version: 2.1.3
% 2.69/0.91 % (421143)Termination reason: Instruction limit
% 2.69/0.91 % (421143)Termination phase: shuffling
% 2.69/0.91 % (421143)Time elapsed: 0.022 s
% 2.69/0.91 % (421143)Peak memory usage: 11 MB
% 2.69/0.91 % (421143)Instructions burned: 26 (million)
% 2.69/0.96 % (421145)Instruction limit reached!
% 2.69/0.96 % (421145)------------------------------
% 2.69/0.96 % (421145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.96 % (421145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.96 % (421145)CaDiCaL version: 2.1.3
% 2.69/0.96 % (421145)Termination reason: Instruction limit
% 2.69/0.96 % (421145)Termination phase: shuffling
% 2.69/0.96 % (421145)Time elapsed: 0.020 s
% 2.69/0.96 % (421145)Peak memory usage: 10 MB
% 2.69/0.96 % (421145)Instructions burned: 23 (million)
% 2.69/0.96 % (421148)Instruction limit reached!
% 2.69/0.96 % (421148)------------------------------
% 2.69/0.96 % (421148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.96 % (421148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.96 % (421148)CaDiCaL version: 2.1.3
% 2.69/0.96 % (421148)Termination reason: Instruction limit
% 2.69/0.96 % (421148)Termination phase: shuffling
% 2.69/0.96 % (421148)Time elapsed: 0.013 s
% 2.69/0.96 % (421148)Peak memory usage: 10 MB
% 2.69/0.96 % (421148)Instructions burned: 14 (million)
% 2.69/0.96 % (421153)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.69/0.96 % (421153)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=2091336862:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2996 on theBenchmark for (2996ds/8Mi)
% 2.69/0.96 % (421154)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=2215063246:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.69/0.96 % (421155)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1457589347:i=7:hud=5:bd=preordered:rtra=on:bet=on_2996 on theBenchmark for (2996ds/7Mi)
% 2.69/0.96 % (421153)Instruction limit reached!
% 2.69/0.96 % (421153)------------------------------
% 2.69/0.96 % (421153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.96 % (421153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.96 % (421153)CaDiCaL version: 2.1.3
% 2.69/0.96 % (421153)Termination reason: Instruction limit
% 2.69/0.96 % (421153)Termination phase: shuffling
% 2.69/0.96 % (421153)Time elapsed: 0.008 s
% 2.69/0.96 % (421153)Peak memory usage: 10 MB
% 2.69/0.96 % (421153)Instructions burned: 8 (million)
% 2.69/0.96 % (421147)Instruction limit reached!
% 2.69/0.96 % (421147)------------------------------
% 2.69/0.96 % (421147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.96 % (421147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.96 % (421147)CaDiCaL version: 2.1.3
% 2.69/0.96 % (421147)Termination reason: Instruction limit
% 2.69/0.96 % (421147)Termination phase: Preprocessing 3
% 2.69/0.96 % (421147)Time elapsed: 0.052 s
% 2.69/0.96 % (421147)Peak memory usage: 12 MB
% 2.69/0.96 % (421147)Instructions burned: 61 (million)
% 2.69/0.96 % (421155)Instruction limit reached!
% 2.69/0.96 % (421155)------------------------------
% 2.69/0.96 % (421155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.96 % (421155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.96 % (421155)CaDiCaL version: 2.1.3
% 2.69/0.96 % (421155)Termination reason: Instruction limit
% 2.69/0.96 % (421155)Termination phase: shuffling
% 2.69/0.96 % (421155)Time elapsed: 0.007 s
% 2.69/0.96 % (421155)Peak memory usage: 10 MB
% 2.69/0.96 % (421155)Instructions burned: 7 (million)
% 2.69/0.96 % (421138)Instruction limit reached!
% 2.69/0.96 % (421138)------------------------------
% 2.69/0.96 % (421138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.96 % (421138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.96 % (421138)CaDiCaL version: 2.1.3
% 2.69/0.96 % (421138)Termination reason: Instruction limit
% 2.69/0.96 % (421138)Termination phase: Saturation
% 2.69/0.96 % (421138)Time elapsed: 0.137 s
% 2.69/0.96 % (421138)Peak memory usage: 15 MB
% 2.69/0.96 % (421138)Instructions burned: 330 (million)
% 2.69/0.96 % (421154)Instruction limit reached!
% 2.69/0.96 % (421154)------------------------------
% 2.69/0.96 % (421154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.96 % (421154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.06 % (421154)CaDiCaL version: 2.1.3
% 3.79/1.06 % (421154)Termination reason: Instruction limit
% 3.79/1.06 % (421154)Termination phase: shuffling
% 3.79/1.06 % (421154)Time elapsed: 0.028 s
% 3.79/1.06 % (421154)Peak memory usage: 10 MB
% 3.79/1.06 % (421154)Instructions burned: 32 (million)
% 3.79/1.06 % (421160)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=358233107:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/20Mi)
% 3.79/1.06 % (421159)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3579251394:i=23:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/23Mi)
% 3.79/1.06 % (421160)Instruction limit reached!
% 3.79/1.06 % (421160)------------------------------
% 3.79/1.06 % (421160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/1.06 % (421160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.06 % (421160)CaDiCaL version: 2.1.3
% 3.79/1.06 % (421160)Termination reason: Instruction limit
% 3.79/1.06 % (421160)Termination phase: shuffling
% 3.79/1.06 % (421160)Time elapsed: 0.010 s
% 3.79/1.06 % (421160)Peak memory usage: 10 MB
% 3.79/1.06 % (421160)Instructions burned: 21 (million)
% 3.79/1.06 % (421164)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2966398510:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/193Mi)
% 3.79/1.06 % (421161)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2010912655:i=1240:rtra=on:ixr=off_2996 on theBenchmark for (2996ds/1240Mi)
% 3.79/1.06 % (421162)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=821901280:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 3.79/1.06 % (421159)Instruction limit reached!
% 3.79/1.06 % (421159)------------------------------
% 3.79/1.06 % (421159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/1.06 % (421159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.06 % (421159)CaDiCaL version: 2.1.3
% 3.79/1.06 % (421159)Termination reason: Instruction limit
% 3.79/1.06 % (421159)Termination phase: shuffling
% 3.79/1.06 % (421159)Time elapsed: 0.020 s
% 3.79/1.06 % (421159)Peak memory usage: 10 MB
% 3.79/1.06 % (421159)Instructions burned: 23 (million)
% 3.79/1.06 % (421129)Instruction limit reached!
% 3.79/1.06 % (421129)------------------------------
% 3.79/1.06 % (421129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/1.06 % (421129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.06 % (421129)CaDiCaL version: 2.1.3
% 3.79/1.06 % (421129)Termination reason: Instruction limit
% 3.79/1.06 % (421129)Termination phase: Saturation
% 3.79/1.06 % (421129)Time elapsed: 0.207 s
% 3.79/1.06 % (421129)Peak memory usage: 15 MB
% 3.79/1.06 % (421129)Instructions burned: 250 (million)
% 3.79/1.06 % (421167)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3361348001:i=42:hud=10:rtra=on_2995 on theBenchmark for (2995ds/42Mi)
% 3.79/1.06 % (421170)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 3.79/1.06 % (421170)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1759217584:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2995 on theBenchmark for (2995ds/7Mi)
% 3.79/1.06 % (421167)Instruction limit reached!
% 3.79/1.06 % (421167)------------------------------
% 3.79/1.06 % (421167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/1.06 % (421167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.06 % (421167)CaDiCaL version: 2.1.3
% 3.79/1.06 % (421167)Termination reason: Instruction limit
% 3.79/1.06 % (421167)Termination phase: Property scanning
% 3.79/1.06 % (421167)Time elapsed: 0.019 s
% 3.79/1.06 % (421167)Peak memory usage: 11 MB
% 3.79/1.06 % (421167)Instructions burned: 43 (million)
% 3.79/1.06 % (421170)Instruction limit reached!
% 3.79/1.06 % (421170)------------------------------
% 3.79/1.06 % (421170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/1.06 % (421170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.06 % (421170)CaDiCaL version: 2.1.3
% 3.79/1.06 % (421170)Termination reason: Instruction limit
% 3.79/1.06 % (421170)Termination phase: shuffling
% 3.79/1.06 % (421170)Time elapsed: 0.004 s
% 3.79/1.13 % (421170)Peak memory usage: 10 MB
% 3.79/1.13 % (421170)Instructions burned: 8 (million)
% 3.79/1.13 % (421172)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3848024862:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/181Mi)
% 3.79/1.13 % (421164)Instruction limit reached!
% 3.79/1.13 % (421164)------------------------------
% 3.79/1.13 % (421164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/1.13 % (421164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.13 % (421164)CaDiCaL version: 2.1.3
% 3.79/1.13 % (421164)Termination reason: Instruction limit
% 3.79/1.13 % (421164)Termination phase: Saturation
% 3.79/1.13 % (421164)Time elapsed: 0.047 s
% 3.79/1.13 % (421164)Peak memory usage: 14 MB
% 3.79/1.13 % (421164)Instructions burned: 194 (million)
% 3.79/1.13 % (421178)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.79/1.13 % (421180)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1022154478:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 3.79/1.13 % (421177)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=989915508:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2995 on theBenchmark for (2995ds/169Mi)
% 3.79/1.13 % (421178)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1646112918:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2995 on theBenchmark for (2995ds/6Mi)
% 3.79/1.13 % (421178)Instruction limit reached!
% 3.79/1.13 % (421178)------------------------------
% 3.79/1.13 % (421178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/1.13 % (421178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.13 % (421178)CaDiCaL version: 2.1.3
% 3.79/1.13 % (421178)Termination reason: Instruction limit
% 3.79/1.13 % (421178)Termination phase: shuffling
% 3.79/1.13 % (421178)Time elapsed: 0.003 s
% 3.79/1.13 % (421178)Peak memory usage: 10 MB
% 3.79/1.13 % (421178)Instructions burned: 6 (million)
% 3.79/1.13 % (421162)Instruction limit reached!
% 3.79/1.13 % (421162)------------------------------
% 3.79/1.13 % (421162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/1.13 % (421162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.13 % (421162)CaDiCaL version: 2.1.3
% 3.79/1.13 % (421162)Termination reason: Instruction limit
% 3.79/1.13 % (421162)Termination phase: Saturation
% 3.79/1.13 % (421162)Time elapsed: 0.061 s
% 3.79/1.13 % (421162)Peak memory usage: 13 MB
% 3.79/1.13 % (421162)Instructions burned: 145 (million)
% 3.79/1.13 % (421180)Instruction limit reached!
% 3.79/1.13 % (421180)------------------------------
% 3.79/1.13 % (421180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/1.13 % (421180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.13 % (421180)CaDiCaL version: 2.1.3
% 3.79/1.13 % (421180)Termination reason: Instruction limit
% 3.79/1.13 % (421180)Termination phase: shuffling
% 3.79/1.13 % (421180)Time elapsed: 0.006 s
% 3.79/1.13 % (421180)Peak memory usage: 10 MB
% 3.79/1.13 % (421180)Instructions burned: 27 (million)
% 3.79/1.13 % (421186)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=3767090011:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 3.79/1.13 % (421184)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=29044860:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 3.79/1.13 % (421185)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=3495716690:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 3.79/1.13 % (421184)Instruction limit reached!
% 3.79/1.13 % (421184)------------------------------
% 3.79/1.13 % (421184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/1.13 % (421184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.13 % (421184)CaDiCaL version: 2.1.3
% 4.56/1.20 % (421184)Termination reason: Instruction limit
% 4.56/1.20 % (421184)Termination phase: shuffling
% 4.56/1.20 % (421184)Time elapsed: 0.008 s
% 4.56/1.20 % (421184)Peak memory usage: 10 MB
% 4.56/1.20 % (421184)Instructions burned: 19 (million)
% 4.56/1.20 % (421190)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=3721925129:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2994 on theBenchmark for (2994ds/45Mi)
% 4.56/1.20 % (421177)Instruction limit reached!
% 4.56/1.20 % (421177)------------------------------
% 4.56/1.20 % (421177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.20 % (421177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.20 % (421177)CaDiCaL version: 2.1.3
% 4.56/1.20 % (421177)Termination reason: Instruction limit
% 4.56/1.20 % (421177)Termination phase: Saturation
% 4.56/1.20 % (421177)Time elapsed: 0.072 s
% 4.56/1.20 % (421177)Peak memory usage: 13 MB
% 4.56/1.20 % (421177)Instructions burned: 170 (million)
% 4.56/1.20 % (421190)Instruction limit reached!
% 4.56/1.20 % (421190)------------------------------
% 4.56/1.20 % (421190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.20 % (421190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.20 % (421190)CaDiCaL version: 2.1.3
% 4.56/1.20 % (421190)Termination reason: Instruction limit
% 4.56/1.20 % (421190)Termination phase: SInE selection
% 4.56/1.20 % (421190)Time elapsed: 0.021 s
% 4.56/1.20 % (421190)Peak memory usage: 11 MB
% 4.56/1.20 % (421190)Instructions burned: 47 (million)
% 4.56/1.20 % (421172)Instruction limit reached!
% 4.56/1.20 % (421172)------------------------------
% 4.56/1.20 % (421172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.20 % (421172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.20 % (421172)CaDiCaL version: 2.1.3
% 4.56/1.20 % (421172)Termination reason: Instruction limit
% 4.56/1.20 % (421172)Termination phase: Saturation
% 4.56/1.20 % (421172)Time elapsed: 0.096 s
% 4.56/1.20 % (421172)Peak memory usage: 14 MB
% 4.56/1.20 % (421172)Instructions burned: 182 (million)
% 4.56/1.20 % (421194)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 4.56/1.20 % (421192)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2737739072:i=480:rtra=on_2994 on theBenchmark for (2994ds/480Mi)
% 4.56/1.20 % (421193)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=4057233199:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 4.56/1.20 % (421194)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4290880352:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 4.56/1.20 % (421193)Instruction limit reached!
% 4.56/1.20 % (421193)------------------------------
% 4.56/1.20 % (421193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.20 % (421193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.20 % (421193)CaDiCaL version: 2.1.3
% 4.56/1.20 % (421193)Termination reason: Instruction limit
% 4.56/1.20 % (421193)Termination phase: shuffling
% 4.56/1.20 % (421193)Time elapsed: 0.011 s
% 4.56/1.20 % (421193)Peak memory usage: 10 MB
% 4.56/1.20 % (421193)Instructions burned: 22 (million)
% 4.56/1.20 % (421104)Instruction limit reached!
% 4.56/1.20 % (421104)------------------------------
% 4.56/1.20 % (421104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.20 % (421104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.20 % (421104)CaDiCaL version: 2.1.3
% 4.56/1.20 % (421104)Termination reason: Instruction limit
% 4.56/1.20 % (421104)Termination phase: Saturation
% 4.56/1.20 % (421104)Time elapsed: 0.457 s
% 4.56/1.20 % (421104)Peak memory usage: 20 MB
% 4.56/1.20 % (421104)Instructions burned: 635 (million)
% 4.56/1.20 % (421198)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1557068492:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 4.56/1.20 % (421199)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=2986567950:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 4.56/1.20 % (421198)Instruction limit reached!
% 4.56/1.20 % (421198)------------------------------
% 4.56/1.20 % (421198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.20 % (421198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.20 % (421198)CaDiCaL version: 2.1.3
% 4.56/1.20 % (421198)Termination reason: Instruction limit
% 4.56/1.20 % (421198)Termination phase: shuffling
% 4.56/1.20 % (421198)Time elapsed: 0.006 s
% 4.56/1.20 % (421198)Peak memory usage: 10 MB
% 4.56/1.20 % (421198)Instructions burned: 14 (million)
% 4.56/1.20 % (421202)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2930144360:i=51:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/51Mi)
% 4.56/1.20 % (421199)Instruction limit reached!
% 4.56/1.20 % (421199)------------------------------
% 4.56/1.20 % (421199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.20 % (421199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.20 % (421199)CaDiCaL version: 2.1.3
% 4.56/1.20 % (421199)Termination reason: Instruction limit
% 4.56/1.20 % (421199)Termination phase: SInE selection
% 4.56/1.20 % (421199)Time elapsed: 0.029 s
% 4.56/1.20 % (421199)Peak memory usage: 11 MB
% 4.56/1.20 % (421199)Instructions burned: 68 (million)
% 4.56/1.20 % (421185)Instruction limit reached!
% 4.56/1.20 % (421185)------------------------------
% 4.56/1.20 % (421185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.20 % (421185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.20 % (421185)CaDiCaL version: 2.1.3
% 4.56/1.20 % (421185)Termination reason: Instruction limit
% 4.56/1.20 % (421185)Termination phase: Saturation
% 4.56/1.20 % (421185)Time elapsed: 0.151 s
% 4.56/1.20 % (421185)Peak memory usage: 15 MB
% 4.56/1.20 % (421185)Instructions burned: 316 (million)
% 4.56/1.20 % (421208)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1963693987:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 4.56/1.20 % (421202)Instruction limit reached!
% 4.56/1.20 % (421202)------------------------------
% 4.56/1.20 % (421202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.20 % (421202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.20 % (421202)CaDiCaL version: 2.1.3
% 4.56/1.20 % (421202)Termination reason: Instruction limit
% 4.56/1.20 % (421202)Termination phase: Property scanning
% 4.56/1.20 % (421202)Time elapsed: 0.023 s
% 4.56/1.20 % (421202)Peak memory usage: 11 MB
% 4.56/1.20 % (421202)Instructions burned: 51 (million)
% 4.56/1.20 % (421194)Instruction limit reached!
% 4.56/1.20 % (421194)------------------------------
% 4.56/1.20 % (421194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.20 % (421194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.20 % (421194)CaDiCaL version: 2.1.3
% 4.56/1.20 % (421194)Termination reason: Instruction limit
% 4.56/1.20 % (421194)Termination phase: Saturation
% 4.56/1.20 % (421194)Time elapsed: 0.087 s
% 4.56/1.20 % (421194)Peak memory usage: 15 MB
% 4.56/1.20 % (421194)Instructions burned: 200 (million)
% 4.56/1.20 % (421208)Instruction limit reached!
% 4.56/1.20 % (421208)------------------------------
% 4.56/1.20 % (421208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.20 % (421208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.20 % (421208)CaDiCaL version: 2.1.3
% 4.56/1.20 % (421208)Termination reason: Instruction limit
% 4.56/1.20 % (421208)Termination phase: shuffling
% 4.56/1.20 % (421208)Time elapsed: 0.014 s
% 4.56/1.20 % (421208)Peak memory usage: 10 MB
% 4.56/1.20 % (421208)Instructions burned: 31 (million)
% 4.56/1.20 % (421215)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2879284715:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 4.56/1.20 % (421219)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=1751695153:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 4.56/1.20 % (421224)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1019308507:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/67Mi)
% 4.56/1.20 % (421227)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 4.56/1.20 % (421227)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1032836166:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2993 on theBenchmark for (2993ds/180Mi)
% 4.56/1.20 % (421219)Instruction limit reached!
% 4.56/1.20 % (421219)------------------------------
% 4.56/1.20 % (421219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.20 % (421219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.20 % (421219)CaDiCaL version: 2.1.3
% 4.56/1.20 % (421219)Termination reason: Instruction limit
% 4.56/1.20 % (421219)Termination phase: Property scanning
% 4.56/1.20 % (421219)Time elapsed: 0.016 s
% 4.56/1.20 % (421219)Peak memory usage: 10 MB
% 4.56/1.20 % (421219)Instructions burned: 36 (million)
% 4.56/1.20 % (421240)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=576792212:st=2:i=246:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/246Mi)
% 4.56/1.20 % (421224)Instruction limit reached!
% 4.56/1.20 % (421224)------------------------------
% 4.56/1.20 % (421224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.20 % (421224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.20 % (421224)CaDiCaL version: 2.1.3
% 4.56/1.20 % (421224)Termination reason: Instruction limit
% 4.56/1.20 % (421224)Termination phase: Property scanning
% 4.56/1.20 % (421224)Time elapsed: 0.029 s
% 4.56/1.20 % (421224)Peak memory usage: 11 MB
% 4.56/1.20 % (421224)Instructions burned: 68 (million)
% 4.56/1.20 % (421215)Instruction limit reached!
% 4.56/1.20 % (421215)------------------------------
% 4.56/1.20 % (421215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.20 % (421215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.20 % (421215)CaDiCaL version: 2.1.3
% 4.56/1.20 % (421215)Termination reason: Instruction limit
% 4.56/1.20 % (421215)Termination phase: Saturation
% 4.56/1.20 % (421215)Time elapsed: 0.058 s
% 4.56/1.20 % (421215)Peak memory usage: 13 MB
% 4.56/1.20 % (421215)Instructions burned: 138 (million)
% 4.56/1.20 % (421253)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3913273147:cond=on:i=96:bd=all:rtra=on_2992 on theBenchmark for (2992ds/96Mi)
% 4.56/1.20 % (421186)Instruction limit reached!
% 4.56/1.20 % (421186)------------------------------
% 4.56/1.20 % (421186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.20 % (421186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.20 % (421186)CaDiCaL version: 2.1.3
% 4.56/1.20 % (421186)Termination reason: Instruction limit
% 4.56/1.20 % (421186)Termination phase: Saturation
% 4.56/1.20 % (421186)Time elapsed: 0.242 s
% 4.56/1.20 % (421186)Peak memory usage: 23 MB
% 4.56/1.20 % (421186)Instructions burned: 853 (million)
% 4.56/1.20 % (421192) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-421096-421192"...
% 4.56/1.20 % (421192)...printing done.
% 4.56/1.20 % (421192)Refutation found. Thanks to Tanya!
% 4.56/1.20 % SZS status Theorem for theBenchmark
% 4.56/1.20 % SZS output start Proof for theBenchmark
% 4.56/1.20 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 4.56/1.20 thf(func_def_0, type, in: ($i > $i > $o)).
% 4.56/1.20 thf(func_def_1, type, exu: (($i > $o) > $o)).
% 4.56/1.20 thf(func_def_3, type, setextAx: $o).
% 4.56/1.20 thf(func_def_5, type, emptysetAx: $o).
% 4.56/1.20 thf(func_def_6, type, setadjoin: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_7, type, setadjoinAx: $o).
% 4.56/1.20 thf(func_def_8, type, powerset: ($i > $i)).
% 4.56/1.20 thf(func_def_9, type, powersetAx: $o).
% 4.56/1.20 thf(func_def_10, type, setunion: ($i > $i)).
% 4.56/1.20 thf(func_def_11, type, setunionAx: $o).
% 4.56/1.20 thf(func_def_13, type, omega0Ax: $o).
% 4.56/1.20 thf(func_def_14, type, omegaSAx: $o).
% 4.56/1.20 thf(func_def_15, type, omegaIndAx: $o).
% 4.56/1.20 thf(func_def_16, type, replAx: $o).
% 4.56/1.20 thf(func_def_17, type, foundationAx: $o).
% 4.56/1.20 thf(func_def_18, type, wellorderingAx: $o).
% 4.56/1.20 thf(func_def_19, type, descr: (($i > $o) > $i)).
% 4.56/1.20 thf(func_def_20, type, descrp: $o).
% 4.56/1.20 thf(func_def_21, type, dsetconstr: ($i > ($i > $o) > $i)).
% 4.56/1.20 thf(func_def_22, type, dsetconstrI: $o).
% 4.56/1.20 thf(func_def_23, type, dsetconstrEL: $o).
% 4.56/1.20 thf(func_def_24, type, dsetconstrER: $o).
% 4.56/1.20 thf(func_def_25, type, exuE1: $o).
% 4.56/1.20 thf(func_def_26, type, prop2set: ($o > $i)).
% 4.56/1.20 thf(func_def_27, type, prop2setE: $o).
% 4.56/1.20 thf(func_def_28, type, emptysetE: $o).
% 4.56/1.20 thf(func_def_29, type, emptysetimpfalse: $o).
% 4.56/1.20 thf(func_def_30, type, notinemptyset: $o).
% 4.56/1.20 thf(func_def_31, type, exuE3e: $o).
% 4.56/1.20 thf(func_def_32, type, setext: $o).
% 4.56/1.20 thf(func_def_33, type, emptyI: $o).
% 4.56/1.20 thf(func_def_34, type, noeltsimpempty: $o).
% 4.56/1.20 thf(func_def_35, type, setbeta: $o).
% 4.56/1.20 thf(func_def_36, type, nonempty: ($i > $o)).
% 4.56/1.20 thf(func_def_37, type, nonemptyE1: $o).
% 4.56/1.20 thf(func_def_38, type, nonemptyI: $o).
% 4.56/1.20 thf(func_def_39, type, nonemptyI1: $o).
% 4.56/1.20 thf(func_def_40, type, setadjoinIL: $o).
% 4.56/1.20 thf(func_def_41, type, emptyinunitempty: $o).
% 4.56/1.20 thf(func_def_42, type, setadjoinIR: $o).
% 4.56/1.20 thf(func_def_43, type, setadjoinE: $o).
% 4.56/1.20 thf(func_def_44, type, setadjoinOr: $o).
% 4.56/1.20 thf(func_def_45, type, setoftrueEq: $o).
% 4.56/1.20 thf(func_def_46, type, powersetI: $o).
% 4.56/1.20 thf(func_def_47, type, emptyinPowerset: $o).
% 4.56/1.20 thf(func_def_48, type, emptyInPowerset: $o).
% 4.56/1.20 thf(func_def_49, type, powersetE: $o).
% 4.56/1.20 thf(func_def_50, type, setunionI: $o).
% 4.56/1.20 thf(func_def_51, type, setunionE: $o).
% 4.56/1.20 thf(func_def_52, type, subPowSU: $o).
% 4.56/1.20 thf(func_def_53, type, exuE2: $o).
% 4.56/1.20 thf(func_def_54, type, nonemptyImpWitness: $o).
% 4.56/1.20 thf(func_def_55, type, uniqinunit: $o).
% 4.56/1.20 thf(func_def_56, type, notinsingleton: $o).
% 4.56/1.20 thf(func_def_57, type, eqinunit: $o).
% 4.56/1.20 thf(func_def_58, type, singletonsswitch: $o).
% 4.56/1.20 thf(func_def_59, type, upairsetE: $o).
% 4.56/1.20 thf(func_def_60, type, upairsetIL: $o).
% 4.56/1.20 thf(func_def_61, type, upairsetIR: $o).
% 4.56/1.20 thf(func_def_62, type, emptyE1: $o).
% 4.56/1.20 thf(func_def_63, type, vacuousDall: $o).
% 4.56/1.20 thf(func_def_64, type, quantDeMorgan1: $o).
% 4.56/1.20 thf(func_def_65, type, quantDeMorgan2: $o).
% 4.56/1.20 thf(func_def_66, type, quantDeMorgan3: $o).
% 4.56/1.20 thf(func_def_67, type, quantDeMorgan4: $o).
% 4.56/1.20 thf(func_def_68, type, prop2setI: $o).
% 4.56/1.20 thf(func_def_69, type, set2prop: ($i > $o)).
% 4.56/1.20 thf(func_def_70, type, prop2set2propI: $o).
% 4.56/1.20 thf(func_def_71, type, notdexE: $o).
% 4.56/1.20 thf(func_def_72, type, notdallE: $o).
% 4.56/1.20 thf(func_def_73, type, exuI1: $o).
% 4.56/1.20 thf(func_def_74, type, exuI3: $o).
% 4.56/1.20 thf(func_def_75, type, exuI2: $o).
% 4.56/1.20 thf(func_def_76, type, inCongP: $o).
% 4.56/1.20 thf(func_def_77, type, in__Cong: $o).
% 4.56/1.20 thf(func_def_78, type, exuE3u: $o).
% 4.56/1.20 thf(func_def_79, type, exu__Cong: $o).
% 4.56/1.20 thf(func_def_80, type, emptyset__Cong: $o).
% 4.56/1.20 thf(func_def_81, type, setadjoin__Cong: $o).
% 4.56/1.20 thf(func_def_82, type, powerset__Cong: $o).
% 4.56/1.20 thf(func_def_83, type, setunion__Cong: $o).
% 4.56/1.20 thf(func_def_84, type, omega__Cong: $o).
% 4.56/1.20 thf(func_def_85, type, exuEu: $o).
% 4.56/1.20 thf(func_def_86, type, descr__Cong: $o).
% 4.56/1.20 thf(func_def_87, type, dsetconstr__Cong: $o).
% 4.56/1.20 thf(func_def_88, type, subset: ($i > $i > $o)).
% 4.56/1.20 thf(func_def_89, type, disjoint: ($i > $i > $o)).
% 4.56/1.20 thf(func_def_90, type, setsmeet: ($i > $i > $o)).
% 4.56/1.20 thf(func_def_91, type, subsetI1: $o).
% 4.56/1.20 thf(func_def_92, type, eqimpsubset2: $o).
% 4.56/1.20 thf(func_def_93, type, eqimpsubset1: $o).
% 4.56/1.20 thf(func_def_94, type, subsetI2: $o).
% 4.56/1.20 thf(func_def_95, type, emptysetsubset: $o).
% 4.56/1.20 thf(func_def_96, type, subsetE: $o).
% 4.56/1.20 thf(func_def_97, type, subsetE2: $o).
% 4.56/1.20 thf(func_def_98, type, notsubsetI: $o).
% 4.56/1.20 thf(func_def_99, type, notequalI1: $o).
% 4.56/1.20 thf(func_def_100, type, notequalI2: $o).
% 4.56/1.20 thf(func_def_101, type, subsetRefl: $o).
% 4.56/1.20 thf(func_def_102, type, subsetTrans: $o).
% 4.56/1.20 thf(func_def_103, type, setadjoinSub: $o).
% 4.56/1.20 thf(func_def_104, type, setadjoinSub2: $o).
% 4.56/1.20 thf(func_def_105, type, subset2powerset: $o).
% 4.56/1.20 thf(func_def_106, type, setextsub: $o).
% 4.56/1.20 thf(func_def_107, type, subsetemptysetimpeq: $o).
% 4.56/1.20 thf(func_def_108, type, powersetI1: $o).
% 4.56/1.20 thf(func_def_109, type, powersetE1: $o).
% 4.56/1.20 thf(func_def_110, type, inPowerset: $o).
% 4.56/1.20 thf(func_def_111, type, powersetsubset: $o).
% 4.56/1.20 thf(func_def_112, type, sepInPowerset: $o).
% 4.56/1.20 thf(func_def_113, type, sepSubset: $o).
% 4.56/1.20 thf(func_def_114, type, binunion: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_115, type, binunionIL: $o).
% 4.56/1.20 thf(func_def_116, type, upairset2IR: $o).
% 4.56/1.20 thf(func_def_117, type, binunionIR: $o).
% 4.56/1.20 thf(func_def_118, type, binunionEcases: $o).
% 4.56/1.20 thf(func_def_119, type, binunionE: $o).
% 4.56/1.20 thf(func_def_120, type, binunionLsub: $o).
% 4.56/1.20 thf(func_def_121, type, binunionRsub: $o).
% 4.56/1.20 thf(func_def_122, type, binintersect: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_123, type, binintersectI: $o).
% 4.56/1.20 thf(func_def_124, type, binintersectSubset5: $o).
% 4.56/1.20 thf(func_def_125, type, binintersectEL: $o).
% 4.56/1.20 thf(func_def_126, type, binintersectLsub: $o).
% 4.56/1.20 thf(func_def_127, type, binintersectSubset2: $o).
% 4.56/1.20 thf(func_def_128, type, binintersectSubset3: $o).
% 4.56/1.20 thf(func_def_129, type, binintersectER: $o).
% 4.56/1.20 thf(func_def_130, type, disjointsetsI1: $o).
% 4.56/1.20 thf(func_def_131, type, binintersectRsub: $o).
% 4.56/1.20 thf(func_def_132, type, binintersectSubset4: $o).
% 4.56/1.20 thf(func_def_133, type, binintersectSubset1: $o).
% 4.56/1.20 thf(func_def_134, type, bs114d: $o).
% 4.56/1.20 thf(func_def_135, type, regular: ($i > $o)).
% 4.56/1.20 thf(func_def_136, type, setminus: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_137, type, setminusI: $o).
% 4.56/1.20 thf(func_def_138, type, setminusEL: $o).
% 4.56/1.20 thf(func_def_139, type, setminusER: $o).
% 4.56/1.20 thf(func_def_140, type, setminusSubset2: $o).
% 4.56/1.20 thf(func_def_141, type, setminusERneg: $o).
% 4.56/1.20 thf(func_def_142, type, setminusELneg: $o).
% 4.56/1.20 thf(func_def_143, type, setminusILneg: $o).
% 4.56/1.20 thf(func_def_144, type, setminusIRneg: $o).
% 4.56/1.20 thf(func_def_145, type, setminusLsub: $o).
% 4.56/1.20 thf(func_def_146, type, setminusSubset1: $o).
% 4.56/1.20 thf(func_def_147, type, symdiff: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_148, type, symdiffE: $o).
% 4.56/1.20 thf(func_def_149, type, symdiffI1: $o).
% 4.56/1.20 thf(func_def_150, type, symdiffI2: $o).
% 4.56/1.20 thf(func_def_151, type, symdiffIneg1: $o).
% 4.56/1.20 thf(func_def_152, type, symdiffIneg2: $o).
% 4.56/1.20 thf(func_def_153, type, iskpair: ($i > $o)).
% 4.56/1.20 thf(func_def_154, type, secondinupair: $o).
% 4.56/1.20 thf(func_def_155, type, setukpairIL: $o).
% 4.56/1.20 thf(func_def_156, type, setukpairIR: $o).
% 4.56/1.20 thf(func_def_157, type, kpairiskpair: $o).
% 4.56/1.20 thf(func_def_158, type, kpair: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_159, type, kpairp: $o).
% 4.56/1.20 thf(func_def_160, type, cartprod: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_161, type, singletonsubset: $o).
% 4.56/1.20 thf(func_def_162, type, singletoninpowerset: $o).
% 4.56/1.20 thf(func_def_163, type, singletoninpowunion: $o).
% 4.56/1.20 thf(func_def_164, type, upairset2E: $o).
% 4.56/1.20 thf(func_def_165, type, upairsubunion: $o).
% 4.56/1.20 thf(func_def_166, type, upairinpowunion: $o).
% 4.56/1.20 thf(func_def_167, type, ubforcartprodlem1: $o).
% 4.56/1.20 thf(func_def_168, type, ubforcartprodlem2: $o).
% 4.56/1.20 thf(func_def_169, type, ubforcartprodlem3: $o).
% 4.56/1.20 thf(func_def_170, type, cartprodpairin: $o).
% 4.56/1.20 thf(func_def_171, type, cartprodmempair1: $o).
% 4.56/1.20 thf(func_def_172, type, cartprodmempair: $o).
% 4.56/1.20 thf(func_def_173, type, setunionE2: $o).
% 4.56/1.20 thf(func_def_174, type, setunionsingleton1: $o).
% 4.56/1.20 thf(func_def_175, type, setunionsingleton2: $o).
% 4.56/1.20 thf(func_def_176, type, setunionsingleton: $o).
% 4.56/1.20 thf(func_def_177, type, singleton: ($i > $o)).
% 4.56/1.20 thf(func_def_178, type, singletonprop: $o).
% 4.56/1.20 thf(func_def_179, type, ex1: ($i > ($i > $o) > $o)).
% 4.56/1.20 thf(func_def_180, type, ex1E1: $o).
% 4.56/1.20 thf(func_def_181, type, ex1I: $o).
% 4.56/1.20 thf(func_def_182, type, ex1I2: $o).
% 4.56/1.20 thf(func_def_183, type, singletonsuniq: $o).
% 4.56/1.20 thf(func_def_184, type, atmost1p: ($i > $o)).
% 4.56/1.20 thf(func_def_185, type, atleast2p: ($i > $o)).
% 4.56/1.20 thf(func_def_186, type, atmost2p: ($i > $o)).
% 4.56/1.20 thf(func_def_187, type, upairsetp: ($i > $o)).
% 4.56/1.20 thf(func_def_188, type, setukpairinjL1: $o).
% 4.56/1.20 thf(func_def_189, type, kfstsingleton: $o).
% 4.56/1.20 thf(func_def_190, type, theprop: $o).
% 4.56/1.20 thf(func_def_191, type, kfst: ($i > $i)).
% 4.56/1.20 thf(func_def_192, type, kfstpairEq: $o).
% 4.56/1.20 thf(func_def_193, type, cartprodfstin: $o).
% 4.56/1.20 thf(func_def_194, type, setukpairinjL2: $o).
% 4.56/1.20 thf(func_def_195, type, setukpairinjL: $o).
% 4.56/1.20 thf(func_def_196, type, setukpairinjR11: $o).
% 4.56/1.20 thf(func_def_197, type, setukpairinjR12: $o).
% 4.56/1.20 thf(func_def_198, type, setukpairinjR1: $o).
% 4.56/1.20 thf(func_def_199, type, upairequniteq: $o).
% 4.56/1.20 thf(func_def_200, type, setukpairinjR2: $o).
% 4.56/1.20 thf(func_def_201, type, setukpairinjR: $o).
% 4.56/1.20 thf(func_def_202, type, ksndsingleton: $o).
% 4.56/1.20 thf(func_def_203, type, ksnd: ($i > $i)).
% 4.56/1.20 thf(func_def_204, type, ksndpairEq: $o).
% 4.56/1.20 thf(func_def_205, type, kpairsurjEq: $o).
% 4.56/1.20 thf(func_def_206, type, cartprodsndin: $o).
% 4.56/1.20 thf(func_def_207, type, cartprodpairmemEL: $o).
% 4.56/1.20 thf(func_def_208, type, cartprodpairmemER: $o).
% 4.56/1.20 thf(func_def_209, type, cartprodmempaircEq: $o).
% 4.56/1.20 thf(func_def_210, type, cartprodfstpairEq: $o).
% 4.56/1.20 thf(func_def_211, type, cartprodsndpairEq: $o).
% 4.56/1.20 thf(func_def_212, type, cartprodpairsurjEq: $o).
% 4.56/1.20 thf(func_def_213, type, breln: ($i > $i > $i > $o)).
% 4.56/1.20 thf(func_def_214, type, dpsetconstr: ($i > $i > ($i > $i > $o) > $i)).
% 4.56/1.20 thf(func_def_215, type, dpsetconstrI: $o).
% 4.56/1.20 thf(func_def_216, type, dpsetconstrSub: $o).
% 4.56/1.20 thf(func_def_217, type, setOfPairsIsBReln: $o).
% 4.56/1.20 thf(func_def_218, type, dpsetconstrERa: $o).
% 4.56/1.20 thf(func_def_219, type, dpsetconstrEL1: $o).
% 4.56/1.20 thf(func_def_220, type, dpsetconstrEL2: $o).
% 4.56/1.20 thf(func_def_221, type, dpsetconstrER: $o).
% 4.56/1.20 thf(func_def_222, type, func: ($i > $i > $i > $o)).
% 4.56/1.20 thf(func_def_223, type, funcSet: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_224, type, funcImageSingleton: $o).
% 4.56/1.20 thf(func_def_225, type, apProp: $o).
% 4.56/1.20 thf(func_def_226, type, ap: ($i > $i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_227, type, app: $o).
% 4.56/1.20 thf(func_def_228, type, infuncsetfunc: $o).
% 4.56/1.20 thf(func_def_229, type, ap2p: $o).
% 4.56/1.20 thf(func_def_230, type, funcinfuncset: $o).
% 4.56/1.20 thf(func_def_231, type, lamProp: $o).
% 4.56/1.20 thf(func_def_232, type, lam: ($i > $i > ($i > $i) > $i)).
% 4.56/1.20 thf(func_def_233, type, lamp: $o).
% 4.56/1.20 thf(func_def_234, type, lam2p: $o).
% 4.56/1.20 thf(func_def_235, type, brelnall1: $o).
% 4.56/1.20 thf(func_def_236, type, brelnall2: $o).
% 4.56/1.20 thf(func_def_237, type, ex1E2: $o).
% 4.56/1.20 thf(func_def_238, type, funcGraphProp1: $o).
% 4.56/1.20 thf(func_def_239, type, funcGraphProp3: $o).
% 4.56/1.20 thf(func_def_240, type, funcGraphProp2: $o).
% 4.56/1.20 thf(func_def_241, type, funcextLem: $o).
% 4.56/1.20 thf(func_def_242, type, funcGraphProp4: $o).
% 4.56/1.20 thf(func_def_243, type, subbreln: $o).
% 4.56/1.20 thf(func_def_244, type, eqbreln: $o).
% 4.56/1.20 thf(func_def_245, type, funcext: $o).
% 4.56/1.20 thf(func_def_246, type, funcext2: $o).
% 4.56/1.20 thf(func_def_247, type, ap2apEq1: $o).
% 4.56/1.20 thf(func_def_248, type, ap2apEq2: $o).
% 4.56/1.20 thf(func_def_249, type, beta1: $o).
% 4.56/1.20 thf(func_def_250, type, eta1: $o).
% 4.56/1.20 thf(func_def_251, type, lam2lamEq: $o).
% 4.56/1.20 thf(func_def_252, type, beta2: $o).
% 4.56/1.20 thf(func_def_253, type, eta2: $o).
% 4.56/1.20 thf(func_def_254, type, iffalseProp1: $o).
% 4.56/1.20 thf(func_def_255, type, iffalseProp2: $o).
% 4.56/1.20 thf(func_def_256, type, iftrueProp1: $o).
% 4.56/1.20 thf(func_def_257, type, iftrueProp2: $o).
% 4.56/1.20 thf(func_def_258, type, ifSingleton: $o).
% 4.56/1.20 thf(func_def_259, type, if: ($i > $o > $i > $i > $i)).
% 4.56/1.20 thf(func_def_260, type, ifp: $o).
% 4.56/1.20 thf(func_def_261, type, theeq: $o).
% 4.56/1.20 thf(func_def_262, type, iftrue: $o).
% 4.56/1.20 thf(func_def_263, type, iffalse: $o).
% 4.56/1.20 thf(func_def_264, type, iftrueorfalse: $o).
% 4.56/1.20 thf(func_def_265, type, binintersectT_lem: $o).
% 4.56/1.20 thf(func_def_266, type, binunionT_lem: $o).
% 4.56/1.20 thf(func_def_267, type, powersetT_lem: $o).
% 4.56/1.20 thf(func_def_268, type, setminusT_lem: $o).
% 4.56/1.20 thf(func_def_269, type, complementT_lem: $o).
% 4.56/1.20 thf(func_def_270, type, setextT: $o).
% 4.56/1.20 thf(func_def_273, type, db1: !>[X0: $tType]:(X0)).
% 4.56/1.20 thf(func_def_274, type, db0: !>[X0: $tType]:(X0)).
% 4.56/1.20 thf(func_def_275, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 4.56/1.20 thf(func_def_276, type, vOR: ($o > $o > $o)).
% 4.56/1.20 thf(func_def_277, type, vAND: ($o > $o > $o)).
% 4.56/1.20 thf(func_def_278, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 4.56/1.20 thf(func_def_279, type, vNOT: ($o > $o)).
% 4.56/1.20 thf(func_def_280, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 4.56/1.20 thf(func_def_281, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 4.56/1.20 thf(func_def_282, type, vIMP: ($o > $o > $o)).
% 4.56/1.20 thf(func_def_283, type, db2: !>[X0: $tType]:(X0)).
% 4.56/1.20 thf(func_def_284, type, sP0: ($i > $i > $o)).
% 4.56/1.20 thf(func_def_285, type, sP1: ($i > $o)).
% 4.56/1.20 thf(func_def_286, type, sP2: ($i > $i > $o)).
% 4.56/1.20 thf(func_def_287, type, sP3: ($i > $i > $o)).
% 4.56/1.20 thf(func_def_288, type, sP4: ($i > $i > $i > $i > $o)).
% 4.56/1.20 thf(func_def_289, type, sP5: $o).
% 4.56/1.20 thf(func_def_290, type, sP6: $o).
% 4.56/1.20 thf(func_def_291, type, sP7: $o).
% 4.56/1.20 thf(func_def_292, type, sP8: ($i > $o > $i > $i > $o)).
% 4.56/1.20 thf(func_def_293, type, sP9: $o).
% 4.56/1.20 thf(func_def_294, type, sP10: ($i > $i > $i > $o)).
% 4.56/1.20 thf(func_def_295, type, sP11: $o).
% 4.56/1.20 thf(func_def_301, type, sK17: ($i > $i)).
% 4.56/1.20 thf(func_def_303, type, sK19: (($i > $i) > $i > $i > $i)).
% 4.56/1.20 thf(func_def_307, type, sK23: ($i > $o)).
% 4.56/1.20 thf(func_def_313, type, sK29: ($i > $i > $o)).
% 4.56/1.20 thf(func_def_322, type, sK38: ($i > $o)).
% 4.56/1.20 thf(func_def_324, type, sK40: (($i > $o) > $i)).
% 4.56/1.20 thf(func_def_325, type, sK41: (($i > $o) > $i)).
% 4.56/1.20 thf(func_def_329, type, sK45: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_330, type, sK46: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_331, type, sK47: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_332, type, sK48: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_333, type, sK49: ($i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_334, type, sK50: ($i > $i)).
% 4.56/1.20 thf(func_def_335, type, sK51: ($i > $i)).
% 4.56/1.20 thf(func_def_336, type, sK52: ($i > $i)).
% 4.56/1.20 thf(func_def_337, type, sK53: ($i > $i)).
% 4.56/1.20 thf(func_def_338, type, sK54: ($i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_339, type, sK55: ($i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_340, type, sK56: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_341, type, sK57: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_342, type, sK58: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_343, type, sK59: ($i > $i)).
% 4.56/1.20 thf(func_def_344, type, sK60: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_346, type, sK62: ($i > $i)).
% 4.56/1.20 thf(func_def_347, type, sK63: ($i > $i)).
% 4.56/1.20 thf(func_def_352, type, sK68: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_354, type, sK70: ($i > $o)).
% 4.56/1.20 thf(func_def_356, type, sK72: (($i > $o) > $i > $i)).
% 4.56/1.20 thf(func_def_358, type, sK74: (($i > $o) > $i)).
% 4.56/1.20 thf(func_def_359, type, sK75: ($i > $o)).
% 4.56/1.20 thf(func_def_360, type, sK76: ($i > $i)).
% 4.56/1.20 thf(func_def_366, type, sK82: $o).
% 4.56/1.20 thf(func_def_368, type, sK84: $o).
% 4.56/1.20 thf(func_def_380, type, sK96: (($i > $o) > $i)).
% 4.56/1.20 thf(func_def_381, type, sK97: ($i > $o)).
% 4.56/1.20 thf(func_def_387, type, sK103: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 4.56/1.20 thf(func_def_388, type, sK104: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 4.56/1.20 thf(func_def_391, type, sK107: ($i > $o)).
% 4.56/1.20 thf(func_def_392, type, sK108: ($i > $o)).
% 4.56/1.20 thf(func_def_397, type, sK113: ($i > $i)).
% 4.56/1.20 thf(func_def_398, type, sK114: (($i > $i) > $i > $i > $i)).
% 4.56/1.20 thf(func_def_406, type, sK122: ($i > $i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_407, type, sK123: ($i > $i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_408, type, sK124: ($i > $i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_409, type, sK125: ($i > $i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_415, type, sK131: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_417, type, sK133: ($i > $o)).
% 4.56/1.20 thf(func_def_420, type, sK136: $o).
% 4.56/1.20 thf(func_def_427, type, sK143: $o).
% 4.56/1.20 thf(func_def_440, type, sK156: ($i > $o)).
% 4.56/1.20 thf(func_def_447, type, sK163: $o).
% 4.56/1.20 thf(func_def_452, type, sK168: ($i > $o)).
% 4.56/1.20 thf(func_def_454, type, sK170: ($i > ($i > $o) > $i)).
% 4.56/1.20 thf(func_def_464, type, sK180: $o).
% 4.56/1.20 thf(func_def_479, type, sK195: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_481, type, sK197: ($i > $i)).
% 4.56/1.20 thf(func_def_484, type, sK200: ($i > ($i > $i) > $i > $i)).
% 4.56/1.20 thf(func_def_517, type, sK233: ($i > $i)).
% 4.56/1.20 thf(func_def_519, type, sK235: ($i > ($i > $i) > $i > $i)).
% 4.56/1.20 thf(func_def_543, type, sK259: ($i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_544, type, sK260: ($i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_550, type, sK266: $o).
% 4.56/1.20 thf(func_def_551, type, sK267: ($o > $i > $i > $i)).
% 4.56/1.20 thf(func_def_562, type, sK278: ($i > $o)).
% 4.56/1.20 thf(func_def_565, type, sK281: (($i > $o) > $i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_566, type, sK282: (($i > $o) > $i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_570, type, sK286: ($i > $o)).
% 4.56/1.20 thf(func_def_573, type, sK289: ($i > $i)).
% 4.56/1.20 thf(func_def_577, type, sK293: ($i > $i > $o)).
% 4.56/1.20 thf(func_def_591, type, sK307: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_599, type, sK315: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_602, type, sK318: ($i > ($i > $o) > $i)).
% 4.56/1.20 thf(func_def_603, type, sK319: ($i > $o)).
% 4.56/1.20 thf(func_def_607, type, sK323: $o).
% 4.56/1.20 thf(func_def_610, type, sK326: ($i > $o)).
% 4.56/1.20 thf(func_def_611, type, sK327: ($i > $i)).
% 4.56/1.20 thf(func_def_612, type, sK328: (($i > $o) > $i)).
% 4.56/1.20 thf(func_def_615, type, sK331: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_626, type, sK342: ($i > $i)).
% 4.56/1.20 thf(func_def_627, type, sK343: (($i > $i) > $i > $i > $i)).
% 4.56/1.20 thf(func_def_638, type, sK354: $o).
% 4.56/1.20 thf(func_def_647, type, sK363: ($i > $o)).
% 4.56/1.20 thf(func_def_648, type, sK364: ($i > $o)).
% 4.56/1.20 thf(func_def_649, type, sK365: (($i > $o) > ($i > $o) > $i)).
% 4.56/1.20 thf(func_def_650, type, sK366: (($i > $o) > ($i > $o) > $i)).
% 4.56/1.20 thf(func_def_654, type, sK370: ($i > $i > ($i > $o) > $i)).
% 4.56/1.20 thf(func_def_655, type, sK371: ($i > $o)).
% 4.56/1.20 thf(func_def_658, type, sK374: ($i > $i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_685, type, sK401: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_686, type, sK402: ($i > $o)).
% 4.56/1.20 thf(func_def_692, type, sK408: ($i > $i > $o)).
% 4.56/1.20 thf(func_def_694, type, sK410: ($i > $i > $o)).
% 4.56/1.20 thf(func_def_698, type, sK414: $o).
% 4.56/1.20 thf(func_def_703, type, sK419: ($i > $o)).
% 4.56/1.20 thf(func_def_708, type, sK424: ($i > $i)).
% 4.56/1.20 thf(func_def_709, type, sK425: ($i > $i)).
% 4.56/1.20 thf(func_def_729, type, sK445: $o).
% 4.56/1.20 thf(func_def_731, type, sK447: $o).
% 4.56/1.20 thf(func_def_737, type, sK453: ($i > $i > $o)).
% 4.56/1.20 thf(func_def_738, type, sK454: ($i > $i)).
% 4.56/1.20 thf(func_def_739, type, sK455: ($i > $i)).
% 4.56/1.20 thf(func_def_740, type, sK456: (($i > $i > $o) > $i > $i)).
% 4.56/1.20 thf(func_def_741, type, sK457: ($i > ($i > $i > $o) > $i > $i)).
% 4.56/1.20 thf(func_def_742, type, sK458: (($i > $i > $o) > $i > $i)).
% 4.56/1.20 thf(func_def_746, type, sK462: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_754, type, sK470: ($i > $o)).
% 4.56/1.20 thf(func_def_755, type, sK471: ($i > $o)).
% 4.56/1.20 thf(func_def_756, type, sK472: (($i > $o) > ($i > $o) > $i)).
% 4.56/1.20 thf(func_def_757, type, sK473: (($i > $o) > ($i > $o) > $i)).
% 4.56/1.20 thf(func_def_758, type, sK474: $o).
% 4.56/1.20 thf(func_def_769, type, sK485: (($i > $o) > $i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_770, type, sK486: (($i > $o) > $i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_774, type, sK490: ($i > $o)).
% 4.56/1.20 thf(func_def_778, type, sK494: ($i > $i)).
% 4.56/1.20 thf(func_def_787, type, sK503: $o).
% 4.56/1.20 thf(func_def_789, type, sK505: ($i > ($i > $o) > $i)).
% 4.56/1.20 thf(func_def_790, type, sK506: ($i > $o)).
% 4.56/1.20 thf(func_def_793, type, sK509: ($i > $o)).
% 4.56/1.20 thf(func_def_801, type, sK517: ($i > $o)).
% 4.56/1.20 thf(func_def_803, type, sK519: ($i > $i)).
% 4.56/1.20 thf(func_def_806, type, sK522: ($i > ($i > $i) > $i > $i)).
% 4.56/1.20 thf(func_def_808, type, sK524: ($i > $i)).
% 4.56/1.20 thf(func_def_811, type, sK527: ($i > $o)).
% 4.56/1.20 thf(func_def_813, type, sK529: (($i > $o) > $i > $i)).
% 4.56/1.20 thf(func_def_814, type, sK530: (($i > $o) > $i > $i)).
% 4.56/1.20 thf(func_def_832, type, sK548: ($i > $o)).
% 4.56/1.20 thf(func_def_840, type, sK556: $o).
% 4.56/1.20 thf(func_def_859, type, sK575: ($i > ($i > $o) > $i)).
% 4.56/1.20 thf(func_def_860, type, sK576: ($i > $o)).
% 4.56/1.20 thf(func_def_869, type, sK585: ($i > $o)).
% 4.56/1.20 thf(func_def_872, type, sK588: ($i > $o)).
% 4.56/1.20 thf(func_def_875, type, sK591: ($i > ($i > $o) > $i)).
% 4.56/1.20 thf(func_def_880, type, sK596: ($i > $i > $o)).
% 4.56/1.20 thf(func_def_886, type, sK602: ($i > $i > $o)).
% 4.56/1.20 thf(func_def_894, type, sK610: ($i > $i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_899, type, sK615: ($i > $o)).
% 4.56/1.20 thf(func_def_901, type, sK617: (($i > $o) > $i > $i)).
% 4.56/1.20 thf(func_def_908, type, sK624: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_909, type, sK625: ($i > $i > $i)).
% 4.56/1.20 thf(func_def_911, type, sK627: ($i > $i)).
% 4.56/1.20 thf(func_def_912, type, sK628: ($i > $o)).
% 4.56/1.20 thf(func_def_915, type, sK631: ($i > $i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_921, type, sK637: ($i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_925, type, sK641: ($i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_926, type, sK642: ($i > $o)).
% 4.56/1.20 thf(func_def_929, type, sK645: ($i > ($i > $o) > $i)).
% 4.56/1.20 thf(func_def_930, type, sK646: ($i > ($i > $o) > $i)).
% 4.56/1.20 thf(func_def_932, type, sK648: ($i > $o)).
% 4.56/1.20 thf(func_def_933, type, sK649: (($i > $o) > $i > $i)).
% 4.56/1.20 thf(func_def_938, type, sK654: ($i > $i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_939, type, sK655: ($i > $i > $i > $i > $i)).
% 4.56/1.20 thf(func_def_940, type, sK656: ($i > $i > $o)).
% 4.56/1.20 thf(func_def_951, type, sK667: (($i > $o) > $i > $i)).
% 4.56/1.20 thf(func_def_953, type, sK669: ($i > $o)).
% 4.56/1.20 thf(func_def_970, type, sK686: ($i > $o)).
% 4.56/1.20 thf(func_def_973, type, sK689: $o).
% 4.56/1.20 thf(func_def_984, type, sK700: ($i > $o)).
% 4.56/1.20 thf(func_def_1001, type, sK717: ($i > $i)).
% 4.56/1.20 thf(func_def_1007, type, sK723: $o).
% 4.56/1.20 thf(f40,axiom,(
% 4.56/1.20 (powersetE = ! [X1 : $i,X2 : $i,X0 : $i] : ((in @ X1 @ (powerset @ X0)) => ((in @ X2 @ X1) => (in @ X2 @ X0))))),
% 4.56/1.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetE)).
% 4.56/1.20 thf(f81,axiom,(
% 4.56/1.20 (subsetI2 = ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)))),
% 4.56/1.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetI2)).
% 4.56/1.20 thf(f237,conjecture,(
% 4.56/1.20 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 => ! [X1 : $i,X0 : $i] : ((in @ X1 @ (powerset @ X0)) => ! [X2 : $i] : ((in @ X2 @ (powerset @ X0)) => (! [X3 : $i] : ((in @ X3 @ X0) => ((in @ X3 @ X1) => (in @ X3 @ X2))) => (subset @ X1 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 4.56/1.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetTI)).
% 4.56/1.20 thf(f238,negated_conjecture,(
% 4.56/1.20 ~(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 => ! [X1 : $i,X0 : $i] : ((in @ X1 @ (powerset @ X0)) => ! [X2 : $i] : ((in @ X2 @ (powerset @ X0)) => (! [X3 : $i] : ((in @ X3 @ X0) => ((in @ X3 @ X1) => (in @ X3 @ X2))) => (subset @ X1 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 4.56/1.20 inference(negated_conjecture,[status(cth)],[f237])).
% 4.56/1.20 thf(f348,plain,(
% 4.56/1.20 ~(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 => ! [X0 : $i,X1 : $i] : ((in @ X0 @ (powerset @ X1)) => ! [X2 : $i] : ((in @ X2 @ (powerset @ X1)) => (! [X3 : $i] : ((in @ X3 @ X1) => ((in @ X3 @ X0) => (in @ X3 @ X2))) => (subset @ X0 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 4.56/1.20 inference(rectify,[],[f238])).
% 4.56/1.20 thf(f349,plain,(
% 4.56/1.20 ~((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) => ! [X1 : $i,X0 : $i] : ((((in @ X0 @ (powerset @ X1))) = $true) => ! [X2 : $i] : (($true = ((in @ X2 @ (powerset @ X1)))) => (! [X3 : $i] : ((((in @ X3 @ X1)) = $true) => ((((in @ X3 @ X0)) = $true) => (((in @ X3 @ X2)) = $true))) => (((subset @ X0 @ X2)) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 4.56/1.20 inference(fool_elimination,[],[f348])).
% 4.56/1.20 thf(f526,plain,(
% 4.56/1.20 (subsetI2 = ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)))),
% 4.56/1.20 inference(rectify,[],[f81])).
% 4.56/1.20 thf(f527,plain,(
% 4.56/1.20 (subsetI2 = $true) <=> ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((((in @ X2 @ X0)) = $true) => (((in @ X2 @ X1)) = $true)) => (((subset @ X0 @ X1)) = $true))),
% 4.56/1.20 inference(fool_elimination,[],[f526])).
% 4.56/1.20 thf(f616,plain,(
% 4.56/1.20 (powersetE = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X0 @ (powerset @ X2)) => ((in @ X1 @ X0) => (in @ X1 @ X2))))),
% 4.56/1.20 inference(rectify,[],[f40])).
% 4.56/1.20 thf(f617,plain,(
% 4.56/1.20 (powersetE = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : ((((in @ X0 @ (powerset @ X2))) = $true) => ((((in @ X1 @ X0)) = $true) => (((in @ X1 @ X2)) = $true)))),
% 4.56/1.20 inference(fool_elimination,[],[f616])).
% 4.56/1.20 thf(f745,plain,(
% 4.56/1.20 ! [X1 : $i,X0 : $i] : (? [X2 : $i] : ((((in @ X2 @ X1)) != $true) & (((in @ X2 @ X0)) = $true)) | (((subset @ X0 @ X1)) = $true)) <=> (subsetI2 = $true)),
% 4.56/1.20 inference(ennf_transformation,[],[f527])).
% 4.56/1.20 thf(f793,plain,(
% 4.56/1.20 (powersetE = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : (((((in @ X1 @ X2)) = $true) | (((in @ X1 @ X0)) != $true)) | (((in @ X0 @ (powerset @ X2))) != $true))),
% 4.56/1.20 inference(ennf_transformation,[],[f617])).
% 4.56/1.20 thf(f794,plain,(
% 4.56/1.20 (powersetE = $true) <=> ! [X1 : $i,X2 : $i,X0 : $i] : ((((in @ X1 @ X2)) = $true) | (((in @ X0 @ (powerset @ X2))) != $true) | (((in @ X1 @ X0)) != $true))),
% 4.56/1.20 inference(flattening,[],[f793])).
% 4.56/1.20 thf(f820,plain,(
% 4.56/1.20 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X1 : $i,X0 : $i] : (? [X2 : $i] : (((((subset @ X0 @ X2)) != $true) & ! [X3 : $i] : (((((in @ X3 @ X2)) = $true) | (((in @ X3 @ X0)) != $true)) | (((in @ X3 @ X1)) != $true))) & ($true = ((in @ X2 @ (powerset @ X1))))) & (((in @ X0 @ (powerset @ X1))) = $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)),
% 4.56/1.20 inference(ennf_transformation,[],[f349])).
% 4.56/1.20 thf(f821,plain,(
% 4.56/1.20 (quantDeMorgan3 = $true) & (ex1E1 = $true) & (prop2setE = $true) & (eqimpsubset2 = $true) & (eta2 = $true) & (ksndpairEq = $true) & (binintersectSubset2 = $true) & (kpairsurjEq = $true) & (notdallE = $true) & (cartprodpairsurjEq = $true) & (binunionIL = $true) & (app = $true) & (ex1E2 = $true) & (omega__Cong = $true) & (cartprodpairmemER = $true) & (ap2p = $true) & (dsetconstr__Cong = $true) & (disjointsetsI1 = $true) & (singletoninpowunion = $true) & (setukpairinjL1 = $true) & (funcext2 = $true) & (symdiffIneg1 = $true) & (wellorderingAx = $true) & (singletonsswitch = $true) & (singletoninpowerset = $true) & (cartprodpairin = $true) & (subPowSU = $true) & (sepSubset = $true) & (emptysetAx = $true) & (setadjoinE = $true) & (binunionRsub = $true) & (ifSingleton = $true) & (upairequniteq = $true) & (binintersectI = $true) & (setunionsingleton = $true) & (emptyInPowerset = $true) & (cartprodfstin = $true) & (funcext = $true) & (prop2setI = $true) & (dsetconstrEL = $true) & (setoftrueEq = $true) & (setminusSubset1 = $true) & (setadjoinIR = $true) & (upairsetIR = $true) & (notinemptyset = $true) & (ubforcartprodlem1 = $true) & (exuE2 = $true) & (singletonprop = $true) & (quantDeMorgan2 = $true) & (omegaIndAx = $true) & ? [X1 : $i,X0 : $i] : ((((in @ X0 @ (powerset @ X1))) = $true) & ? [X2 : $i] : (($true = ((in @ X2 @ (powerset @ X1)))) & (((subset @ X0 @ X2)) != $true) & ! [X3 : $i] : ((((in @ X3 @ X0)) != $true) | (((in @ X3 @ X1)) != $true) | (((in @ X3 @ X2)) = $true)))) & (funcextLem = $true) & (singletonsuniq = $true) & (cartprodpairmemEL = $true) & (iffalse = $true) & (binintersectRsub = $true) & (nonemptyImpWitness = $true) & (setukpairinjR11 = $true) & (powersetE = $true) & (subsetTrans = $true) & (exuEu = $true) & (subsetI1 = $true) & (setadjoinIL = $true) & (funcGraphProp3 = $true) & (setOfPairsIsBReln = $true) & (kpairiskpair = $true) & (subbreln = $true) & (binintersectER = $true) & (exuE3u = $true) & (upairset2E = $true) & (binintersectT_lem = $true) & (iffalseProp2 = $true) & (exuI1 = $true) & (eqbreln = $true) & (cartprodmempair = $true) & (notequalI1 = $true) & (dpsetconstrER = $true) & (symdiffE = $true) & (setukpairinjL = $true) & (binintersectSubset3 = $true) & (quantDeMorgan4 = $true) & (theprop = $true) & (descrp = $true) & (prop2set2propI = $true) & (setadjoinAx = $true) & (lamProp = $true) & (powersetE1 = $true) & (emptyset__Cong = $true) & (eqinunit = $true) & (setextT = $true) & (setunionAx = $true) & (eta1 = $true) & (powersetI = $true) & (setukpairIL = $true) & (inCongP = $true) & (inPowerset = $true) & (descr__Cong = $true) & (nonemptyI = $true) & (subsetI2 = $true) & (complementT_lem = $true) & (setminusIRneg = $true) & (setunionE2 = $true) & (exuI2 = $true) & (funcGraphProp2 = $true) & (setminusLsub = $true) & (singletonsubset = $true) & (eqimpsubset1 = $true) & (lamp = $true) & (ap2apEq2 = $true) & (setminusI = $true) & (upairsubunion = $true) & (exuI3 = $true) & (emptyI = $true) & (setbeta = $true) & (setminusILneg = $true) & (apProp = $true) & (subsetE2 = $true) & (setunionsingleton1 = $true) & (funcGraphProp1 = $true) & (dpsetconstrI = $true) & (setunionI = $true) & (binunionLsub = $true) & (setukpairinjR12 = $true) & (in__Cong = $true) & (upairsetE = $true) & (setukpairinjL2 = $true) & (emptysetimpfalse = $true) & (powerset__Cong = $true) & (setextAx = $true) & (sepInPowerset = $true) & (upairsetIL = $true) & (brelnall1 = $true) & (setminusSubset2 = $true) & (ap2apEq1 = $true) & (binunionT_lem = $true) & (setukpairinjR1 = $true) & (setunionE = $true) & (cartprodmempair1 = $true) & (dsetconstrI = $true) & (setminusERneg = $true) & (powersetAx = $true) & (notsubsetI = $true) & (setukpairIR = $true) & (upairset2IR = $true) & (dpsetconstrEL1 = $true) & (ksndsingleton = $true) & (setunion__Cong = $true) & (notequalI2 = $true) & (symdiffIneg2 = $true) & (binunionE = $true) & (binunionEcases = $true) & (setukpairinjR2 = $true) & (symdiffI1 = $true) & (omega0Ax = $true) & (setextsub = $true) & (binintersectSubset4 = $true) & (emptysetsubset = $true) & (binunionIR = $true) & (ubforcartprodlem3 = $true) & (beta1 = $true) & (cartprodsndin = $true) & (brelnall2 = $true) & (dpsetconstrSub = $true) & (setadjoin__Cong = $true) & (powersetsubset = $true) & (iffalseProp1 = $true) & (setext = $true) & (cartprodfstpairEq = $true) & (kfstpairEq = $true) & (dpsetconstrERa = $true) & (ex1I2 = $true) & (quantDeMorgan1 = $true) & (kfstsingleton = $true) & (emptyinPowerset = $true) & (setadjoinSub2 = $true) & (emptyinunitempty = $true) & (iftrueorfalse = $true) & (dsetconstrER = $true) & (subset2powerset = $true) & (replAx = $true) & (emptysetE = $true) & (setadjoinSub = $true) & (foundationAx = $true) & (bs114d = $true) & (setukpairinjR = $true) & (kpairp = $true) & (lam2p = $true) & (exuE1 = $true) & (infuncsetfunc = $true) & (binintersectEL = $true) & (ifp = $true) & (exu__Cong = $true) & (upairinpowunion = $true) & (nonemptyI1 = $true) & (subsetE = $true) & (omegaSAx = $true) & (setunionsingleton2 = $true) & (ex1I = $true) & (powersetI1 = $true) & (secondinupair = $true) & (beta2 = $true) & (noeltsimpempty = $true) & (funcGraphProp4 = $true) & (binintersectLsub = $true) & (uniqinunit = $true) & (setminusER = $true) & (notdexE = $true) & (lam2lamEq = $true) & (subsetemptysetimpeq = $true) & (setminusEL = $true) & (notinsingleton = $true) & (cartprodsndpairEq = $true) & (exuE3e = $true) & (binintersectSubset1 = $true) & (nonemptyE1 = $true) & (emptyE1 = $true) & (ubforcartprodlem2 = $true) & (funcImageSingleton = $true) & (iftrueProp1 = $true) & (funcinfuncset = $true) & (symdiffI2 = $true) & (vacuousDall = $true) & (iftrue = $true) & (dpsetconstrEL2 = $true) & (cartprodmempaircEq = $true) & (theeq = $true) & (iftrueProp2 = $true) & (setminusT_lem = $true) & (subsetRefl = $true) & (powersetT_lem = $true) & (setminusELneg = $true) & (setadjoinOr = $true) & (binintersectSubset5 = $true)),
% 4.56/1.20 inference(flattening,[],[f820])).
% 4.56/1.20 thf(f1164,plain,(
% 4.56/1.20 (quantDeMorgan3 = $true) & (ex1E1 = $true) & (prop2setE = $true) & (eqimpsubset2 = $true) & (eta2 = $true) & (ksndpairEq = $true) & (binintersectSubset2 = $true) & (kpairsurjEq = $true) & (notdallE = $true) & (cartprodpairsurjEq = $true) & (binunionIL = $true) & (app = $true) & (ex1E2 = $true) & (omega__Cong = $true) & (cartprodpairmemER = $true) & (ap2p = $true) & (dsetconstr__Cong = $true) & (disjointsetsI1 = $true) & (singletoninpowunion = $true) & (setukpairinjL1 = $true) & (funcext2 = $true) & (symdiffIneg1 = $true) & (wellorderingAx = $true) & (singletonsswitch = $true) & (singletoninpowerset = $true) & (cartprodpairin = $true) & (subPowSU = $true) & (sepSubset = $true) & (emptysetAx = $true) & (setadjoinE = $true) & (binunionRsub = $true) & (ifSingleton = $true) & (upairequniteq = $true) & (binintersectI = $true) & (setunionsingleton = $true) & (emptyInPowerset = $true) & (cartprodfstin = $true) & (funcext = $true) & (prop2setI = $true) & (dsetconstrEL = $true) & (setoftrueEq = $true) & (setminusSubset1 = $true) & (setadjoinIR = $true) & (upairsetIR = $true) & (notinemptyset = $true) & (ubforcartprodlem1 = $true) & (exuE2 = $true) & (singletonprop = $true) & (quantDeMorgan2 = $true) & (omegaIndAx = $true) & ? [X0 : $i,X1 : $i] : ((((in @ X1 @ (powerset @ X0))) = $true) & ? [X2 : $i] : ((((in @ X2 @ (powerset @ X0))) = $true) & (((subset @ X1 @ X2)) != $true) & ! [X3 : $i] : ((((in @ X3 @ X1)) != $true) | (((in @ X3 @ X0)) != $true) | (((in @ X3 @ X2)) = $true)))) & (funcextLem = $true) & (singletonsuniq = $true) & (cartprodpairmemEL = $true) & (iffalse = $true) & (binintersectRsub = $true) & (nonemptyImpWitness = $true) & (setukpairinjR11 = $true) & (powersetE = $true) & (subsetTrans = $true) & (exuEu = $true) & (subsetI1 = $true) & (setadjoinIL = $true) & (funcGraphProp3 = $true) & (setOfPairsIsBReln = $true) & (kpairiskpair = $true) & (subbreln = $true) & (binintersectER = $true) & (exuE3u = $true) & (upairset2E = $true) & (binintersectT_lem = $true) & (iffalseProp2 = $true) & (exuI1 = $true) & (eqbreln = $true) & (cartprodmempair = $true) & (notequalI1 = $true) & (dpsetconstrER = $true) & (symdiffE = $true) & (setukpairinjL = $true) & (binintersectSubset3 = $true) & (quantDeMorgan4 = $true) & (theprop = $true) & (descrp = $true) & (prop2set2propI = $true) & (setadjoinAx = $true) & (lamProp = $true) & (powersetE1 = $true) & (emptyset__Cong = $true) & (eqinunit = $true) & (setextT = $true) & (setunionAx = $true) & (eta1 = $true) & (powersetI = $true) & (setukpairIL = $true) & (inCongP = $true) & (inPowerset = $true) & (descr__Cong = $true) & (nonemptyI = $true) & (subsetI2 = $true) & (complementT_lem = $true) & (setminusIRneg = $true) & (setunionE2 = $true) & (exuI2 = $true) & (funcGraphProp2 = $true) & (setminusLsub = $true) & (singletonsubset = $true) & (eqimpsubset1 = $true) & (lamp = $true) & (ap2apEq2 = $true) & (setminusI = $true) & (upairsubunion = $true) & (exuI3 = $true) & (emptyI = $true) & (setbeta = $true) & (setminusILneg = $true) & (apProp = $true) & (subsetE2 = $true) & (setunionsingleton1 = $true) & (funcGraphProp1 = $true) & (dpsetconstrI = $true) & (setunionI = $true) & (binunionLsub = $true) & (setukpairinjR12 = $true) & (in__Cong = $true) & (upairsetE = $true) & (setukpairinjL2 = $true) & (emptysetimpfalse = $true) & (powerset__Cong = $true) & (setextAx = $true) & (sepInPowerset = $true) & (upairsetIL = $true) & (brelnall1 = $true) & (setminusSubset2 = $true) & (ap2apEq1 = $true) & (binunionT_lem = $true) & (setukpairinjR1 = $true) & (setunionE = $true) & (cartprodmempair1 = $true) & (dsetconstrI = $true) & (setminusERneg = $true) & (powersetAx = $true) & (notsubsetI = $true) & (setukpairIR = $true) & (upairset2IR = $true) & (dpsetconstrEL1 = $true) & (ksndsingleton = $true) & (setunion__Cong = $true) & (notequalI2 = $true) & (symdiffIneg2 = $true) & (binunionE = $true) & (binunionEcases = $true) & (setukpairinjR2 = $true) & (symdiffI1 = $true) & (omega0Ax = $true) & (setextsub = $true) & (binintersectSubset4 = $true) & (emptysetsubset = $true) & (binunionIR = $true) & (ubforcartprodlem3 = $true) & (beta1 = $true) & (cartprodsndin = $true) & (brelnall2 = $true) & (dpsetconstrSub = $true) & (setadjoin__Cong = $true) & (powersetsubset = $true) & (iffalseProp1 = $true) & (setext = $true) & (cartprodfstpairEq = $true) & (kfstpairEq = $true) & (dpsetconstrERa = $true) & (ex1I2 = $true) & (quantDeMorgan1 = $true) & (kfstsingleton = $true) & (emptyinPowerset = $true) & (setadjoinSub2 = $true) & (emptyinunitempty = $true) & (iftrueorfalse = $true) & (dsetconstrER = $true) & (subset2powerset = $true) & (replAx = $true) & (emptysetE = $true) & (setadjoinSub = $true) & (foundationAx = $true) & (bs114d = $true) & (setukpairinjR = $true) & (kpairp = $true) & (lam2p = $true) & (exuE1 = $true) & (infuncsetfunc = $true) & (binintersectEL = $true) & (ifp = $true) & (exu__Cong = $true) & (upairinpowunion = $true) & (nonemptyI1 = $true) & (subsetE = $true) & (omegaSAx = $true) & (setunionsingleton2 = $true) & (ex1I = $true) & (powersetI1 = $true) & (secondinupair = $true) & (beta2 = $true) & (noeltsimpempty = $true) & (funcGraphProp4 = $true) & (binintersectLsub = $true) & (uniqinunit = $true) & (setminusER = $true) & (notdexE = $true) & (lam2lamEq = $true) & (subsetemptysetimpeq = $true) & (setminusEL = $true) & (notinsingleton = $true) & (cartprodsndpairEq = $true) & (exuE3e = $true) & (binintersectSubset1 = $true) & (nonemptyE1 = $true) & (emptyE1 = $true) & (ubforcartprodlem2 = $true) & (funcImageSingleton = $true) & (iftrueProp1 = $true) & (funcinfuncset = $true) & (symdiffI2 = $true) & (vacuousDall = $true) & (iftrue = $true) & (dpsetconstrEL2 = $true) & (cartprodmempaircEq = $true) & (theeq = $true) & (iftrueProp2 = $true) & (setminusT_lem = $true) & (subsetRefl = $true) & (powersetT_lem = $true) & (setminusELneg = $true) & (setadjoinOr = $true) & (binintersectSubset5 = $true)),
% 4.56/1.20 inference(rectify,[],[f821])).
% 4.56/1.20 thf(f1165,plain,(
% 4.56/1.20 (quantDeMorgan3 = $true) & (ex1E1 = $true) & (prop2setE = $true) & (eqimpsubset2 = $true) & (eta2 = $true) & (ksndpairEq = $true) & (binintersectSubset2 = $true) & (kpairsurjEq = $true) & (notdallE = $true) & (cartprodpairsurjEq = $true) & (binunionIL = $true) & (app = $true) & (ex1E2 = $true) & (omega__Cong = $true) & (cartprodpairmemER = $true) & (ap2p = $true) & (dsetconstr__Cong = $true) & (disjointsetsI1 = $true) & (singletoninpowunion = $true) & (setukpairinjL1 = $true) & (funcext2 = $true) & (symdiffIneg1 = $true) & (wellorderingAx = $true) & (singletonsswitch = $true) & (singletoninpowerset = $true) & (cartprodpairin = $true) & (subPowSU = $true) & (sepSubset = $true) & (emptysetAx = $true) & (setadjoinE = $true) & (binunionRsub = $true) & (ifSingleton = $true) & (upairequniteq = $true) & (binintersectI = $true) & (setunionsingleton = $true) & (emptyInPowerset = $true) & (cartprodfstin = $true) & (funcext = $true) & (prop2setI = $true) & (dsetconstrEL = $true) & (setoftrueEq = $true) & (setminusSubset1 = $true) & (setadjoinIR = $true) & (upairsetIR = $true) & (notinemptyset = $true) & (ubforcartprodlem1 = $true) & (exuE2 = $true) & (singletonprop = $true) & (quantDeMorgan2 = $true) & (omegaIndAx = $true) & ((((in @ sK166 @ (powerset @ sK165))) = $true) & ((((in @ sK167 @ (powerset @ sK165))) = $true) & (((subset @ sK166 @ sK167)) != $true) & ! [X3 : $i] : ((((in @ X3 @ sK166)) != $true) | (((in @ X3 @ sK165)) != $true) | ($true = ((in @ X3 @ sK167)))))) & (funcextLem = $true) & (singletonsuniq = $true) & (cartprodpairmemEL = $true) & (iffalse = $true) & (binintersectRsub = $true) & (nonemptyImpWitness = $true) & (setukpairinjR11 = $true) & (powersetE = $true) & (subsetTrans = $true) & (exuEu = $true) & (subsetI1 = $true) & (setadjoinIL = $true) & (funcGraphProp3 = $true) & (setOfPairsIsBReln = $true) & (kpairiskpair = $true) & (subbreln = $true) & (binintersectER = $true) & (exuE3u = $true) & (upairset2E = $true) & (binintersectT_lem = $true) & (iffalseProp2 = $true) & (exuI1 = $true) & (eqbreln = $true) & (cartprodmempair = $true) & (notequalI1 = $true) & (dpsetconstrER = $true) & (symdiffE = $true) & (setukpairinjL = $true) & (binintersectSubset3 = $true) & (quantDeMorgan4 = $true) & (theprop = $true) & (descrp = $true) & (prop2set2propI = $true) & (setadjoinAx = $true) & (lamProp = $true) & (powersetE1 = $true) & (emptyset__Cong = $true) & (eqinunit = $true) & (setextT = $true) & (setunionAx = $true) & (eta1 = $true) & (powersetI = $true) & (setukpairIL = $true) & (inCongP = $true) & (inPowerset = $true) & (descr__Cong = $true) & (nonemptyI = $true) & (subsetI2 = $true) & (complementT_lem = $true) & (setminusIRneg = $true) & (setunionE2 = $true) & (exuI2 = $true) & (funcGraphProp2 = $true) & (setminusLsub = $true) & (singletonsubset = $true) & (eqimpsubset1 = $true) & (lamp = $true) & (ap2apEq2 = $true) & (setminusI = $true) & (upairsubunion = $true) & (exuI3 = $true) & (emptyI = $true) & (setbeta = $true) & (setminusILneg = $true) & (apProp = $true) & (subsetE2 = $true) & (setunionsingleton1 = $true) & (funcGraphProp1 = $true) & (dpsetconstrI = $true) & (setunionI = $true) & (binunionLsub = $true) & (setukpairinjR12 = $true) & (in__Cong = $true) & (upairsetE = $true) & (setukpairinjL2 = $true) & (emptysetimpfalse = $true) & (powerset__Cong = $true) & (setextAx = $true) & (sepInPowerset = $true) & (upairsetIL = $true) & (brelnall1 = $true) & (setminusSubset2 = $true) & (ap2apEq1 = $true) & (binunionT_lem = $true) & (setukpairinjR1 = $true) & (setunionE = $true) & (cartprodmempair1 = $true) & (dsetconstrI = $true) & (setminusERneg = $true) & (powersetAx = $true) & (notsubsetI = $true) & (setukpairIR = $true) & (upairset2IR = $true) & (dpsetconstrEL1 = $true) & (ksndsingleton = $true) & (setunion__Cong = $true) & (notequalI2 = $true) & (symdiffIneg2 = $true) & (binunionE = $true) & (binunionEcases = $true) & (setukpairinjR2 = $true) & (symdiffI1 = $true) & (omega0Ax = $true) & (setextsub = $true) & (binintersectSubset4 = $true) & (emptysetsubset = $true) & (binunionIR = $true) & (ubforcartprodlem3 = $true) & (beta1 = $true) & (cartprodsndin = $true) & (brelnall2 = $true) & (dpsetconstrSub = $true) & (setadjoin__Cong = $true) & (powersetsubset = $true) & (iffalseProp1 = $true) & (setext = $true) & (cartprodfstpairEq = $true) & (kfstpairEq = $true) & (dpsetconstrERa = $true) & (ex1I2 = $true) & (quantDeMorgan1 = $true) & (kfstsingleton = $true) & (emptyinPowerset = $true) & (setadjoinSub2 = $true) & (emptyinunitempty = $true) & (iftrueorfalse = $true) & (dsetconstrER = $true) & (subset2powerset = $true) & (replAx = $true) & (emptysetE = $true) & (setadjoinSub = $true) & (foundationAx = $true) & (bs114d = $true) & (setukpairinjR = $true) & (kpairp = $true) & (lam2p = $true) & (exuE1 = $true) & (infuncsetfunc = $true) & (binintersectEL = $true) & (ifp = $true) & (exu__Cong = $true) & (upairinpowunion = $true) & (nonemptyI1 = $true) & (subsetE = $true) & (omegaSAx = $true) & (setunionsingleton2 = $true) & (ex1I = $true) & (powersetI1 = $true) & (secondinupair = $true) & (beta2 = $true) & (noeltsimpempty = $true) & (funcGraphProp4 = $true) & (binintersectLsub = $true) & (uniqinunit = $true) & (setminusER = $true) & (notdexE = $true) & (lam2lamEq = $true) & (subsetemptysetimpeq = $true) & (setminusEL = $true) & (notinsingleton = $true) & (cartprodsndpairEq = $true) & (exuE3e = $true) & (binintersectSubset1 = $true) & (nonemptyE1 = $true) & (emptyE1 = $true) & (ubforcartprodlem2 = $true) & (funcImageSingleton = $true) & (iftrueProp1 = $true) & (funcinfuncset = $true) & (symdiffI2 = $true) & (vacuousDall = $true) & (iftrue = $true) & (dpsetconstrEL2 = $true) & (cartprodmempaircEq = $true) & (theeq = $true) & (iftrueProp2 = $true) & (setminusT_lem = $true) & (subsetRefl = $true) & (powersetT_lem = $true) & (setminusELneg = $true) & (setadjoinOr = $true) & (binintersectSubset5 = $true)),
% 4.56/1.20 inference(skolemize,[status(esa),new_symbols(skolem,[sK165,sK166,sK167]),skolemize(X0,sK165),skolemize(X1,sK166),skolemize(X2,sK167)],[f1164])).
% 4.56/1.20 thf(f1316,plain,(
% 4.56/1.20 (! [X1 : $i,X0 : $i] : (? [X2 : $i] : ((((in @ X2 @ X1)) != $true) & (((in @ X2 @ X0)) = $true)) | (((subset @ X0 @ X1)) = $true)) | (subsetI2 != $true)) & ((subsetI2 = $true) | ? [X1 : $i,X0 : $i] : (! [X2 : $i] : ((((in @ X2 @ X1)) = $true) | (((in @ X2 @ X0)) != $true)) & (((subset @ X0 @ X1)) != $true)))),
% 4.56/1.20 inference(nnf_transformation,[],[f745])).
% 4.56/1.20 thf(f1317,plain,(
% 4.56/1.20 (! [X0 : $i,X1 : $i] : (? [X2 : $i] : ((((in @ X2 @ X0)) != $true) & (((in @ X2 @ X1)) = $true)) | (((subset @ X1 @ X0)) = $true)) | (subsetI2 != $true)) & ((subsetI2 = $true) | ? [X3 : $i,X4 : $i] : (! [X5 : $i] : (($true = ((in @ X5 @ X3))) | (((in @ X5 @ X4)) != $true)) & (((subset @ X4 @ X3)) != $true)))),
% 4.56/1.20 inference(rectify,[],[f1316])).
% 4.56/1.20 thf(f1318,plain,(
% 4.56/1.20 (! [X0 : $i,X1 : $i] : (((((in @ (sK315 @ X1 @ X0) @ X0)) != $true) & ($true = ((in @ (sK315 @ X1 @ X0) @ X1)))) | (((subset @ X1 @ X0)) = $true)) | (subsetI2 != $true)) & ((subsetI2 = $true) | (! [X5 : $i] : ((((in @ X5 @ sK316)) = $true) | ($true != ((in @ X5 @ sK317)))) & (((subset @ sK317 @ sK316)) != $true)))),
% 4.56/1.20 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,sK316,sK317]),skolemize(X8,sK19 @ X7 @ X6 @ X5),skolemize(X3,sK316),skolemize(X4,sK317)],[f1317])).
% 4.56/1.20 thf(f1392,plain,(
% 4.56/1.20 ((powersetE = $true) | ? [X1 : $i,X2 : $i,X0 : $i] : ((((in @ X1 @ X2)) != $true) & (((in @ X0 @ (powerset @ X2))) = $true) & (((in @ X1 @ X0)) = $true))) & (! [X1 : $i,X2 : $i,X0 : $i] : ((((in @ X1 @ X2)) = $true) | (((in @ X0 @ (powerset @ X2))) != $true) | (((in @ X1 @ X0)) != $true)) | (powersetE != $true))),
% 4.56/1.20 inference(nnf_transformation,[],[f794])).
% 4.56/1.20 thf(f1393,plain,(
% 4.56/1.20 ((powersetE = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : ((((in @ X0 @ X1)) != $true) & ($true = ((in @ X2 @ (powerset @ X1)))) & ($true = ((in @ X0 @ X2))))) & (! [X3 : $i,X4 : $i,X5 : $i] : ((((in @ X3 @ X4)) = $true) | (((in @ X5 @ (powerset @ X4))) != $true) | (((in @ X3 @ X5)) != $true)) | (powersetE != $true))),
% 4.56/1.20 inference(rectify,[],[f1392])).
% 4.56/1.20 thf(f1394,plain,(
% 4.56/1.20 ((powersetE = $true) | ((((in @ sK391 @ sK392)) != $true) & (((in @ sK393 @ (powerset @ sK392))) = $true) & (((in @ sK391 @ sK393)) = $true))) & (! [X3 : $i,X4 : $i,X5 : $i] : ((((in @ X3 @ X4)) = $true) | (((in @ X5 @ (powerset @ X4))) != $true) | (((in @ X3 @ X5)) != $true)) | (powersetE != $true))),
% 4.56/1.20 inference(skolemize,[status(esa),new_symbols(skolem,[sK391,sK392,sK393]),skolemize(X0,sK391),skolemize(X1,sK392),skolemize(X2,sK393)],[f1393])).
% 4.56/1.20 thf(f2074,plain,(
% 4.56/1.20 (subsetI2 = $true)),
% 4.56/1.20 inference(cnf_transformation,[],[f1165])).
% 4.56/1.20 thf(f2114,plain,(
% 4.56/1.20 (powersetE = $true)),
% 4.56/1.20 inference(cnf_transformation,[],[f1165])).
% 4.56/1.20 thf(f2122,plain,(
% 4.56/1.20 ( ! [X3 : $i] : (($true = ((in @ X3 @ sK167))) | (((in @ X3 @ sK166)) != $true) | (((in @ X3 @ sK165)) != $true)) )),
% 4.56/1.20 inference(cnf_transformation,[],[f1165])).
% 4.56/1.20 thf(f2123,plain,(
% 4.56/1.20 (((subset @ sK166 @ sK167)) != $true)),
% 4.56/1.20 inference(cnf_transformation,[],[f1165])).
% 4.56/1.20 thf(f2125,plain,(
% 4.56/1.20 (((in @ sK166 @ (powerset @ sK165))) = $true)),
% 4.56/1.20 inference(cnf_transformation,[],[f1165])).
% 4.56/1.20 thf(f2352,plain,(
% 4.56/1.20 ( ! [X0 : $i,X1 : $i] : (($true = ((in @ (sK315 @ X1 @ X0) @ X1))) | (subsetI2 != $true) | (((subset @ X1 @ X0)) = $true)) )),
% 4.56/1.20 inference(cnf_transformation,[],[f1318])).
% 4.56/1.20 thf(f2353,plain,(
% 4.56/1.20 ( ! [X0 : $i,X1 : $i] : ((((in @ (sK315 @ X1 @ X0) @ X0)) != $true) | (((subset @ X1 @ X0)) = $true) | (subsetI2 != $true)) )),
% 4.56/1.20 inference(cnf_transformation,[],[f1318])).
% 4.56/1.20 thf(f2453,plain,(
% 4.56/1.20 ( ! [X3 : $i,X4 : $i,X5 : $i] : ((((in @ X5 @ (powerset @ X4))) != $true) | (powersetE != $true) | (((in @ X3 @ X5)) != $true) | (((in @ X3 @ X4)) = $true)) )),
% 4.56/1.20 inference(cnf_transformation,[],[f1394])).
% 4.56/1.20 thf(f3117,plain,(
% 4.56/1.20 ( ! [X0 : $i] : ((powersetE != $true) | ($true != $true) | ($true = ((in @ X0 @ sK165))) | (((in @ X0 @ sK166)) != $true)) )),
% 4.56/1.20 inference(constrained_superposition,[],[f2453,f2125])).
% 4.56/1.20 thf(f3124,plain,(
% 4.56/1.20 ( ! [X0 : $i] : (($true = ((in @ X0 @ sK165))) | (powersetE != $true) | (((in @ X0 @ sK166)) != $true)) )),
% 4.56/1.20 inference(trivial_inequality_removal,[],[f3117])).
% 4.56/1.20 thf(f3128,plain,(
% 4.56/1.20 ( ! [X0 : $i] : (($true = ((in @ X0 @ sK165))) | (((in @ X0 @ sK166)) != $true)) )),
% 4.56/1.20 inference(forward_subsumption_resolution,[],[f3124,f2114])).
% 4.56/1.20 thf(f3147,plain,(
% 4.56/1.20 ( ! [X0 : $i] : (($true != $true) | (subsetI2 != $true) | (((in @ (sK315 @ X0 @ sK167) @ sK166)) != $true) | ($true = ((subset @ X0 @ sK167))) | (((in @ (sK315 @ X0 @ sK167) @ sK165)) != $true)) )),
% 4.56/1.20 inference(constrained_superposition,[],[f2353,f2122])).
% 4.56/1.20 thf(f3157,plain,(
% 4.56/1.20 ( ! [X0 : $i] : ((((in @ (sK315 @ X0 @ sK167) @ sK166)) != $true) | (((in @ (sK315 @ X0 @ sK167) @ sK165)) != $true) | ($true = ((subset @ X0 @ sK167))) | (subsetI2 != $true)) )),
% 4.56/1.20 inference(trivial_inequality_removal,[],[f3147])).
% 4.56/1.20 thf(f3175,plain,(
% 4.56/1.20 ( ! [X0 : $i] : ((((in @ (sK315 @ X0 @ sK167) @ sK166)) != $true) | ($true = ((subset @ X0 @ sK167))) | (((in @ (sK315 @ X0 @ sK167) @ sK165)) != $true)) )),
% 4.56/1.20 inference(forward_subsumption_resolution,[],[f3157,f2074])).
% 4.56/1.20 thf(f3196,plain,(
% 4.56/1.20 ( ! [X0 : $i] : ((((in @ (sK315 @ X0 @ sK167) @ sK166)) != $true) | ($true = ((subset @ X0 @ sK167)))) )),
% 4.56/1.20 inference(forward_subsumption_resolution,[],[f3175,f3128])).
% 4.56/1.20 thf(f3850,plain,(
% 4.56/1.20 (((subset @ sK166 @ sK167)) = $true) | ($true != $true) | (subsetI2 != $true) | (((subset @ sK166 @ sK167)) = $true)),
% 4.56/1.20 inference(constrained_superposition,[],[f3196,f2352])).
% 4.56/1.20 thf(f3863,plain,(
% 4.56/1.20 ($true != $true) | (subsetI2 != $true) | (((subset @ sK166 @ sK167)) = $true)),
% 4.56/1.20 inference(duplicate_literal_removal,[],[f3850])).
% 4.56/1.20 thf(f3864,plain,(
% 4.56/1.20 (subsetI2 != $true) | (((subset @ sK166 @ sK167)) = $true)),
% 4.56/1.20 inference(trivial_inequality_removal,[],[f3863])).
% 4.56/1.20 thf(f3868,plain,(
% 4.56/1.20 (((subset @ sK166 @ sK167)) = $true)),
% 4.56/1.20 inference(forward_subsumption_resolution,[],[f3864,f2074])).
% 4.56/1.20 thf(f3869,plain,(
% 4.56/1.20 $false),
% 4.56/1.20 inference(forward_subsumption_resolution,[],[f3868,f2123])).
% 4.56/1.20 % SZS output end Proof for theBenchmark
% 4.56/1.20 % (421192)------------------------------
% 4.56/1.20 % (421192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.20 % (421192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.20 % (421192)CaDiCaL version: 2.1.3
% 4.56/1.20 % (421192)Termination reason: Refutation
% 4.56/1.20 % (421192)Time elapsed: 0.171 s
% 4.56/1.20 % (421192)Peak memory usage: 17 MB
% 4.56/1.20 % (421192)Instructions burned: 342 (million)
% 4.56/1.20 % (421096)Success in time 0.743 s
% 4.56/1.20 % Vampire exiting
%------------------------------------------------------------------------------