0.03/0.18	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.18	% Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
0.13/0.40	% Computer : n018.cluster.edu
0.13/0.40	% Model    : x86_64 x86_64
0.13/0.40	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.40	% Memory   : 8042.1875MB
0.13/0.40	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.40	% CPULimit   : 300
0.13/0.40	% WCLimit    : 300
0.13/0.40	% DateTime   : Fri Jul  5 04:23:39 EDT 2024
0.13/0.40	% CPUTime    : 
0.19/0.42	This is a THF_ problem
0.19/0.42	Running vampire_ho --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol -m 12000  -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
0.19/0.46	% (3048)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
0.19/0.46	% (3049)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
0.19/0.46	% (3047)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2999ds/96Mi)
0.19/0.46	% (3051)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
0.19/0.46	% (3050)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on theBenchmark for (2999ds/385Mi)
0.19/0.46	% (3052)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on theBenchmark for (2999ds/74Mi)
0.19/0.46	% (3053)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
0.19/0.46	% (3054)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on theBenchmark for (2999ds/915Mi)
0.19/0.46	% (3053)Instruction limit reached!
0.19/0.46	% (3053)------------------------------
0.19/0.46	% (3053)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.19/0.46	% (3053)Termination reason: Unknown
0.19/0.46	% (3053)Termination phase: shuffling
0.19/0.46	
0.19/0.46	% (3053)Memory used [KB]: 1535
0.19/0.46	% (3053)Time elapsed: 0.004 s
0.19/0.46	% (3053)Instructions burned: 4 (million)
0.19/0.46	% (3053)------------------------------
0.19/0.46	% (3053)------------------------------
0.19/0.47	% (3051)Instruction limit reached!
0.19/0.47	% (3051)------------------------------
0.19/0.47	% (3051)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.19/0.47	% (3051)Termination reason: Unknown
0.19/0.47	% (3051)Termination phase: shuffling
0.19/0.47	
0.19/0.47	% (3051)Memory used [KB]: 1791
0.19/0.47	% (3051)Time elapsed: 0.011 s
0.19/0.47	% (3051)Instructions burned: 18 (million)
0.19/0.47	% (3051)------------------------------
0.19/0.47	% (3051)------------------------------
0.19/0.48	% (3049)Instruction limit reached!
0.19/0.48	% (3049)------------------------------
0.19/0.48	% (3049)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.19/0.48	% (3049)Termination reason: Unknown
0.19/0.48	% (3049)Termination phase: shuffling
0.19/0.48	
0.19/0.48	% (3049)Memory used [KB]: 2174
0.19/0.48	% (3049)Time elapsed: 0.019 s
0.19/0.48	% (3049)Instructions burned: 34 (million)
0.19/0.48	% (3049)------------------------------
0.19/0.48	% (3049)------------------------------
0.19/0.48	% (3055)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
0.19/0.48	% (3048)Instruction limit reached!
0.19/0.48	% (3048)------------------------------
0.19/0.48	% (3048)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.19/0.48	% (3048)Termination reason: Unknown
0.19/0.48	% (3048)Termination phase: shuffling
0.19/0.48	
0.19/0.48	% (3048)Memory used [KB]: 2174
0.19/0.48	% (3048)Time elapsed: 0.020 s
0.19/0.48	% (3048)Instructions burned: 36 (million)
0.19/0.48	% (3048)------------------------------
0.19/0.48	% (3048)------------------------------
0.19/0.49	% (3056)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
0.22/0.49	% (3056)Instruction limit reached!
0.22/0.49	% (3056)------------------------------
0.22/0.49	% (3056)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.49	% (3056)Termination reason: Unknown
0.22/0.49	% (3056)Termination phase: shuffling
0.22/0.49	
0.22/0.49	% (3056)Memory used [KB]: 1535
0.22/0.49	% (3056)Time elapsed: 0.005 s
0.22/0.49	% (3056)Instructions burned: 7 (million)
0.22/0.49	% (3056)------------------------------
0.22/0.49	% (3056)------------------------------
0.22/0.49	% (3055)Instruction limit reached!
0.22/0.49	% (3055)------------------------------
0.22/0.49	% (3055)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.49	% (3055)Termination reason: Unknown
0.22/0.49	% (3055)Termination phase: shuffling
0.22/0.49	
0.22/0.49	% (3055)Memory used [KB]: 1918
0.22/0.49	% (3055)Time elapsed: 0.013 s
0.22/0.49	% (3055)Instructions burned: 22 (million)
0.22/0.49	% (3055)------------------------------
0.22/0.49	% (3055)------------------------------
0.22/0.49	% (3057)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2999ds/1021Mi)
0.22/0.50	% (3058)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
0.22/0.50	% (3052)Instruction limit reached!
0.22/0.50	% (3052)------------------------------
0.22/0.50	% (3052)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.50	% (3052)Termination reason: Unknown
0.22/0.50	% (3052)Termination phase: Property scanning
0.22/0.50	
0.22/0.50	% (3052)Memory used [KB]: 2430
0.22/0.50	% (3052)Time elapsed: 0.037 s
0.22/0.50	% (3052)Instructions burned: 74 (million)
0.22/0.50	% (3052)------------------------------
0.22/0.50	% (3052)------------------------------
0.22/0.50	% (3059)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on theBenchmark for (2999ds/9Mi)
0.22/0.51	% (3060)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on theBenchmark for (2999ds/1044Mi)
0.22/0.51	% (3047)Instruction limit reached!
0.22/0.51	% (3047)------------------------------
0.22/0.51	% (3047)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.51	% (3047)Termination reason: Unknown
0.22/0.51	% (3047)Termination phase: Property scanning
0.22/0.51	
0.22/0.51	% (3047)Memory used [KB]: 2558
0.22/0.51	% (3047)Time elapsed: 0.048 s
0.22/0.51	% (3047)Instructions burned: 97 (million)
0.22/0.51	% (3047)------------------------------
0.22/0.51	% (3047)------------------------------
0.22/0.51	% (3059)Instruction limit reached!
0.22/0.51	% (3059)------------------------------
0.22/0.51	% (3059)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.51	% (3059)Termination reason: Unknown
0.22/0.51	% (3059)Termination phase: shuffling
0.22/0.51	
0.22/0.51	% (3059)Memory used [KB]: 1535
0.22/0.51	% (3059)Time elapsed: 0.007 s
0.22/0.51	% (3059)Instructions burned: 9 (million)
0.22/0.51	% (3059)------------------------------
0.22/0.51	% (3059)------------------------------
0.22/0.51	% (3061)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on theBenchmark for (2999ds/128Mi)
0.22/0.52	% (3062)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on theBenchmark for (2999ds/61Mi)
0.22/0.52	% (3063)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on theBenchmark for (2999ds/14Mi)
0.22/0.53	% (3058)Instruction limit reached!
0.22/0.53	% (3058)------------------------------
0.22/0.53	% (3058)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.53	% (3058)Termination reason: Unknown
0.22/0.53	% (3058)Termination phase: Property scanning
0.22/0.53	
0.22/0.53	% (3058)Memory used [KB]: 2430
0.22/0.53	% (3058)Time elapsed: 0.036 s
0.22/0.53	% (3058)Instructions burned: 71 (million)
0.22/0.53	% (3058)------------------------------
0.22/0.53	% (3058)------------------------------
0.22/0.53	% (3063)Instruction limit reached!
0.22/0.53	% (3063)------------------------------
0.22/0.53	% (3063)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.53	% (3063)Termination reason: Unknown
0.22/0.53	% (3063)Termination phase: shuffling
0.22/0.53	
0.22/0.53	% (3063)Memory used [KB]: 1791
0.22/0.53	% (3063)Time elapsed: 0.011 s
0.22/0.53	% (3063)Instructions burned: 14 (million)
0.22/0.53	% (3063)------------------------------
0.22/0.53	% (3063)------------------------------
0.22/0.54	% (3064)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
0.22/0.55	% (3064)Instruction limit reached!
0.22/0.55	% (3064)------------------------------
0.22/0.55	% (3064)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.55	% (3064)Termination reason: Unknown
0.22/0.55	% (3064)Termination phase: shuffling
0.22/0.55	
0.22/0.55	% (3064)Memory used [KB]: 1407
0.22/0.55	% (3064)Time elapsed: 0.003 s
0.22/0.55	% (3064)Instructions burned: 3 (million)
0.22/0.55	% (3064)------------------------------
0.22/0.55	% (3064)------------------------------
0.22/0.55	% (3065)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
0.22/0.56	% (3062)Instruction limit reached!
0.22/0.56	% (3062)------------------------------
0.22/0.56	% (3062)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.56	% (3062)Termination reason: Unknown
0.22/0.56	% (3062)Termination phase: Preprocessing 3
0.22/0.56	
0.22/0.56	% (3062)Memory used [KB]: 2814
0.22/0.56	% (3062)Time elapsed: 0.038 s
0.22/0.56	% (3062)Instructions burned: 62 (million)
0.22/0.56	% (3062)------------------------------
0.22/0.56	% (3062)------------------------------
0.22/0.56	% (3066)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2998ds/11Mi)
0.22/0.57	% (3066)Instruction limit reached!
0.22/0.57	% (3066)------------------------------
0.22/0.57	% (3066)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.57	% (3066)Termination reason: Unknown
0.22/0.57	% (3066)Termination phase: shuffling
0.22/0.57	
0.22/0.57	% (3066)Memory used [KB]: 1663
0.22/0.57	% (3066)Time elapsed: 0.007 s
0.22/0.57	% (3066)Instructions burned: 11 (million)
0.22/0.57	% (3066)------------------------------
0.22/0.57	% (3066)------------------------------
0.22/0.57	% (3061)Instruction limit reached!
0.22/0.57	% (3061)------------------------------
0.22/0.57	% (3061)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.57	% (3061)Termination reason: Unknown
0.22/0.57	% (3061)Termination phase: Property scanning
0.22/0.57	
0.22/0.57	% (3061)Memory used [KB]: 2686
0.22/0.57	% (3061)Time elapsed: 0.061 s
0.22/0.57	% (3061)Instructions burned: 130 (million)
0.22/0.57	% (3061)------------------------------
0.22/0.57	% (3061)------------------------------
0.22/0.57	% (3067)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2998ds/140Mi)
0.22/0.58	% (3068)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2998ds/26Mi)
0.22/0.58	% (3069)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
0.22/0.60	% (3069)Instruction limit reached!
0.22/0.60	% (3069)------------------------------
0.22/0.60	% (3069)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.60	% (3069)Termination reason: Unknown
0.22/0.60	% (3069)Termination phase: Property scanning
0.22/0.60	
0.22/0.60	% (3069)Memory used [KB]: 2430
0.22/0.60	% (3069)Time elapsed: 0.019 s
0.22/0.60	% (3069)Instructions burned: 56 (million)
0.22/0.60	% (3069)------------------------------
0.22/0.60	% (3069)------------------------------
0.22/0.61	% (3068)Instruction limit reached!
0.22/0.61	% (3068)------------------------------
0.22/0.61	% (3068)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.61	% (3068)Termination reason: Unknown
0.22/0.61	% (3068)Termination phase: shuffling
0.22/0.61	
0.22/0.61	% (3068)Memory used [KB]: 1918
0.22/0.61	% (3068)Time elapsed: 0.015 s
0.22/0.61	% (3068)Instructions burned: 26 (million)
0.22/0.61	% (3068)------------------------------
0.22/0.61	% (3068)------------------------------
0.22/0.61	% (3070)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2998ds/275Mi)
1.44/0.62	% (3054)First to succeed.
1.44/0.62	% (3071)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
1.44/0.63	% (3071)Instruction limit reached!
1.44/0.63	% (3071)------------------------------
1.44/0.63	% (3071)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.44/0.63	% (3071)Termination reason: Unknown
1.44/0.63	% (3071)Termination phase: shuffling
1.44/0.63	
1.44/0.63	% (3071)Memory used [KB]: 1535
1.44/0.63	% (3071)Time elapsed: 0.002 s
1.44/0.63	% (3071)Instructions burned: 3 (million)
1.44/0.63	% (3071)------------------------------
1.44/0.63	% (3071)------------------------------
1.44/0.63	% (3054)Refutation found. Thanks to Tanya!
1.44/0.63	% SZS status Theorem for theBenchmark
1.44/0.63	% SZS output start Proof for theBenchmark
1.44/0.63	thf(func_def_0, type, in: $i > $i > $o).
1.44/0.63	thf(func_def_1, type, exu: ($i > $o) > $o).
1.44/0.63	thf(func_def_6, type, setadjoin: $i > $i > $i).
1.44/0.63	thf(func_def_8, type, powerset: $i > $i).
1.44/0.63	thf(func_def_10, type, setunion: $i > $i).
1.44/0.63	thf(func_def_19, type, descr: ($i > $o) > $i).
1.44/0.63	thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
1.44/0.63	thf(func_def_26, type, prop2set: $o > $i).
1.44/0.63	thf(func_def_36, type, nonempty: $i > $o).
1.44/0.63	thf(func_def_69, type, set2prop: $i > $o).
1.44/0.63	thf(func_def_88, type, subset: $i > $i > $o).
1.44/0.63	thf(func_def_89, type, disjoint: $i > $i > $o).
1.44/0.63	thf(func_def_90, type, setsmeet: $i > $i > $o).
1.44/0.63	thf(func_def_114, type, binunion: $i > $i > $i).
1.44/0.63	thf(func_def_122, type, binintersect: $i > $i > $i).
1.44/0.63	thf(func_def_135, type, regular: $i > $o).
1.44/0.63	thf(func_def_136, type, setminus: $i > $i > $i).
1.44/0.63	thf(func_def_147, type, symdiff: $i > $i > $i).
1.44/0.63	thf(func_def_153, type, iskpair: $i > $o).
1.44/0.63	thf(func_def_158, type, kpair: $i > $i > $i).
1.44/0.63	thf(func_def_160, type, cartprod: $i > $i > $i).
1.44/0.63	thf(func_def_177, type, singleton: $i > $o).
1.44/0.63	thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
1.44/0.63	thf(func_def_184, type, atmost1p: $i > $o).
1.44/0.63	thf(func_def_185, type, atleast2p: $i > $o).
1.44/0.63	thf(func_def_186, type, atmost2p: $i > $o).
1.44/0.63	thf(func_def_187, type, upairsetp: $i > $o).
1.44/0.63	thf(func_def_191, type, kfst: $i > $i).
1.44/0.63	thf(func_def_203, type, ksnd: $i > $i).
1.44/0.63	thf(func_def_213, type, breln: $i > $i > $i > $o).
1.44/0.63	thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
1.44/0.63	thf(func_def_222, type, func: $i > $i > $i > $o).
1.44/0.63	thf(func_def_223, type, funcSet: $i > $i > $i).
1.44/0.63	thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
1.44/0.63	thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
1.44/0.63	thf(func_def_259, type, if: $i > $o > $i > $i > $i).
1.44/0.63	thf(func_def_308, type, sP1: $i > $i > $i > $o > $o).
1.44/0.63	thf(func_def_309, type, sP2: $i > $i > $o).
1.44/0.63	thf(func_def_310, type, sP3: $i > $o).
1.44/0.63	thf(func_def_311, type, sP4: $i > $i > $o).
1.44/0.63	thf(func_def_312, type, sP5: $i > $i > $o).
1.44/0.63	thf(func_def_314, type, sP7: $i > $i > $i > $o).
1.44/0.63	thf(func_def_316, type, sP9: $i > $i > $i > $i > $o).
1.44/0.63	thf(func_def_333, type, sK26: $i > $o).
1.44/0.63	thf(func_def_334, type, sK27: $i > $i).
1.44/0.63	thf(func_def_335, type, sK28: ($i > $o) > $i).
1.44/0.63	thf(func_def_354, type, sK47: $i > $i > $i > $i > $i).
1.44/0.63	thf(func_def_355, type, sK48: $i > $i > $i > $i > $i).
1.44/0.63	thf(func_def_363, type, sK56: $i > $o).
1.44/0.63	thf(func_def_366, type, sK59: $i > ($i > $o) > $i).
1.44/0.63	thf(func_def_377, type, sK70: $i > $o).
1.44/0.63	thf(func_def_386, type, sK79: $i > $o).
1.44/0.63	thf(func_def_392, type, sK85: $i > $o).
1.44/0.63	thf(func_def_401, type, sK94: $i > $i > $i).
1.44/0.63	thf(func_def_410, type, sK103: $i > $o).
1.44/0.63	thf(func_def_411, type, sK104: ($i > $o) > $i).
1.44/0.63	thf(func_def_412, type, sK105: $i > $i).
1.44/0.63	thf(func_def_414, type, sK107: $i > $i > $i > $i > $i).
1.44/0.63	thf(func_def_430, type, sK123: $i > $i).
1.44/0.63	thf(func_def_451, type, sK144: $i > $o).
1.44/0.63	thf(func_def_452, type, sK145: $i > $o).
1.44/0.63	thf(func_def_453, type, sK146: $i > $o).
1.44/0.63	thf(func_def_454, type, sK147: ($i > $o) > ($i > $o) > $i).
1.44/0.63	thf(func_def_455, type, sK148: ($i > $o) > ($i > $o) > $i).
1.44/0.63	thf(func_def_457, type, sK150: $i > $o).
1.44/0.63	thf(func_def_458, type, sK151: ($i > $o) > $i > $i).
1.44/0.63	thf(func_def_460, type, sK153: $i > $i).
1.44/0.63	thf(func_def_462, type, sK155: $i > ($i > $i) > $i > $i).
1.44/0.63	thf(func_def_471, type, sK164: $i > $i > $i).
1.44/0.63	thf(func_def_477, type, sK170: $i > $o).
1.44/0.63	thf(func_def_502, type, sK195: $i > $o).
1.44/0.63	thf(func_def_504, type, sK197: ($i > $o) > $i > $i).
1.44/0.63	thf(func_def_505, type, sK198: $i > $o).
1.44/0.63	thf(func_def_507, type, sK200: $i > ($i > $o) > $i).
1.44/0.63	thf(func_def_510, type, sK203: $i > $i > $o).
1.44/0.63	thf(func_def_526, type, sK219: ($i > $o) > ($i > $o) > $i > $i > $i).
1.44/0.63	thf(func_def_527, type, sK220: ($i > $o) > ($i > $o) > $i > $i > $i).
1.44/0.63	thf(func_def_530, type, sK223: $i > $o).
1.44/0.63	thf(func_def_531, type, sK224: $i > $o).
1.44/0.63	thf(func_def_541, type, sK234: $i > $i > $i).
1.44/0.63	thf(func_def_559, type, sK252: $i > $o).
1.44/0.63	thf(func_def_561, type, sK254: $i > $o).
1.44/0.63	thf(func_def_563, type, sK256: ($i > $o) > $i > $i).
1.44/0.63	thf(func_def_564, type, sK257: ($i > $o) > $i > $i).
1.44/0.63	thf(func_def_569, type, sK262: $i > ($i > $i) > $i > $i).
1.44/0.63	thf(func_def_571, type, sK264: $i > $i).
1.44/0.63	thf(func_def_583, type, sK276: $i > $i > $o).
1.44/0.63	thf(func_def_597, type, sK290: $i > $o).
1.44/0.63	thf(func_def_599, type, sK292: ($i > $o) > $i).
1.44/0.63	thf(func_def_600, type, sK293: ($i > $o) > $i).
1.44/0.63	thf(func_def_607, type, sK300: $i > $i > $o).
1.44/0.63	thf(func_def_611, type, sK304: $i > $o).
1.44/0.63	thf(func_def_618, type, sK311: $i > $i > $i).
1.44/0.63	thf(func_def_621, type, sK314: $i > $i).
1.44/0.63	thf(func_def_622, type, sK315: ($i > $i) > $i > $i > $i).
1.44/0.63	thf(func_def_640, type, sK333: $i > $i > $i).
1.44/0.63	thf(func_def_641, type, sK334: $i > $i > $o).
1.44/0.63	thf(func_def_648, type, sK341: $i > $o).
1.44/0.63	thf(func_def_657, type, sK350: $i > $o).
1.44/0.63	thf(func_def_659, type, sK352: ($i > $o) > $i > $i > $i > $i).
1.44/0.63	thf(func_def_660, type, sK353: ($i > $o) > $i > $i > $i > $i).
1.44/0.63	thf(func_def_702, type, sK395: $i > $i > $i > $i > $i).
1.44/0.63	thf(func_def_703, type, sK396: $i > $o).
1.44/0.63	thf(func_def_729, type, sK422: $i > $i > $o).
1.44/0.63	thf(func_def_743, type, sK436: $i > $i > $i).
1.44/0.63	thf(func_def_750, type, sK443: $i > ($i > $o) > $i).
1.44/0.63	thf(func_def_751, type, sK444: $i > $o).
1.44/0.63	thf(func_def_771, type, sK464: $i > $i).
1.44/0.63	thf(func_def_774, type, sK467: $i > $i).
1.44/0.63	thf(func_def_776, type, sK469: $i > $i).
1.44/0.63	thf(func_def_784, type, sK477: $i > $i).
1.44/0.63	thf(func_def_787, type, sK480: $i > ($i > $i) > $i > $i).
1.44/0.63	thf(func_def_792, type, sK485: $i > $i).
1.44/0.63	thf(func_def_795, type, sK488: $i > $i > ($i > $i) > $i).
1.44/0.63	thf(func_def_804, type, sK497: $i > $i > $i).
1.44/0.63	thf(func_def_805, type, sK498: $i > $i > $i).
1.44/0.63	thf(func_def_806, type, sK499: $i > $i > $i).
1.44/0.63	thf(func_def_807, type, sK500: $i > $i > $i).
1.44/0.63	thf(func_def_808, type, sK501: $i > $i > $i > $i).
1.44/0.63	thf(func_def_809, type, sK502: $i > $i).
1.44/0.63	thf(func_def_810, type, sK503: $i > $i).
1.44/0.63	thf(func_def_811, type, sK504: $i > $i).
1.44/0.63	thf(func_def_812, type, sK505: $i > $i).
1.44/0.63	thf(func_def_813, type, sK506: $i > $i > $i > $i).
1.44/0.63	thf(func_def_814, type, sK507: $i > $i > $i > $i).
1.44/0.63	thf(func_def_815, type, sK508: $i > $i > $i).
1.44/0.63	thf(func_def_816, type, sK509: $i > $i > $i).
1.44/0.63	thf(func_def_817, type, sK510: $i > $i > $i).
1.44/0.63	thf(func_def_819, type, sK512: $i > $i).
1.44/0.63	thf(func_def_820, type, sK513: $i > $i).
1.44/0.63	thf(func_def_821, type, sK514: $i > $i).
1.44/0.63	thf(func_def_822, type, sK515: $i > $i > $i).
1.44/0.63	thf(func_def_824, type, sK517: $i > $i).
1.44/0.63	thf(func_def_853, type, sK546: $i > ($i > $o) > $i).
1.44/0.63	thf(func_def_854, type, sK547: $i > $o).
1.44/0.63	thf(func_def_873, type, sK566: $i > $o).
1.44/0.63	thf(func_def_875, type, sK568: ($i > $o) > $i > $i).
1.44/0.63	thf(func_def_878, type, sK571: $i > $i > $i).
1.44/0.63	thf(func_def_879, type, sK572: $i > $i > $i).
1.44/0.63	thf(func_def_882, type, sK575: $i > $i).
1.44/0.63	thf(func_def_883, type, sK576: ($i > $i) > $i > $i > $i).
1.44/0.63	thf(func_def_884, type, sK577: $i > $i > $o).
1.44/0.63	thf(func_def_893, type, sK586: $i > $o).
1.44/0.63	thf(func_def_894, type, sK587: $i > $o).
1.44/0.63	thf(func_def_895, type, sK588: ($i > $o) > ($i > $o) > $i).
1.44/0.63	thf(func_def_896, type, sK589: ($i > $o) > ($i > $o) > $i).
1.44/0.63	thf(func_def_904, type, sK597: $i > $i > $i > $i).
1.44/0.63	thf(func_def_914, type, sK607: $i > $o).
1.44/0.63	thf(func_def_915, type, sK608: $i > $i).
1.44/0.63	thf(func_def_916, type, sK609: ($i > $o) > $i).
1.44/0.63	thf(func_def_918, type, sK611: $i > $i).
1.44/0.63	thf(func_def_922, type, sK615: $i > ($i > $o) > $i).
1.44/0.63	thf(func_def_923, type, sK616: $i > $o).
1.44/0.63	thf(func_def_930, type, sK623: $i > $o).
1.44/0.63	thf(func_def_935, type, sK628: $i > $i > $i).
1.44/0.63	thf(func_def_944, type, sK637: ($i > $o) > $i > $i > $i > $i).
1.44/0.63	thf(func_def_945, type, sK638: ($i > $o) > $i > $i > $i > $i).
1.44/0.63	thf(func_def_949, type, sK642: $i > $o).
1.44/0.63	thf(func_def_953, type, sK646: $i > $o).
1.44/0.63	thf(func_def_964, type, sK657: $i > $i > $o).
1.44/0.63	thf(func_def_966, type, sK659: $i > $i).
1.44/0.63	thf(func_def_967, type, sK660: $i > $i).
1.44/0.63	thf(func_def_968, type, sK661: $i > ($i > $i > $o) > $i).
1.44/0.63	thf(func_def_969, type, sK662: $i > $i > ($i > $i > $o) > $i).
1.44/0.63	thf(func_def_970, type, sK663: $i > ($i > $i > $o) > $i).
1.44/0.63	thf(func_def_985, type, sK678: $i > $o).
1.44/0.63	thf(func_def_986, type, sK679: ($i > $o) > $i > $i > $i).
1.44/0.63	thf(func_def_1000, type, sK693: $i > $i > $i > $i).
1.44/0.63	thf(func_def_1006, type, sK699: $o > $i > $i > $i).
1.44/0.63	thf(func_def_1022, type, sK715: $i > $i > $o).
1.44/0.63	thf(func_def_1050, type, sK743: $i > $i > $i > $i).
1.44/0.63	thf(func_def_1051, type, sK744: $i > $i > $i > $i).
1.44/0.63	thf(func_def_1067, type, sK760: $i > $o).
1.44/0.63	thf(func_def_1076, type, sK769: $i > $i > $i > $i).
1.44/0.63	thf(func_def_1080, type, sK773: $i > $i > $i > $i).
1.44/0.63	thf(func_def_1085, type, sK778: $i > $i > $i).
1.44/0.63	thf(func_def_1092, type, sK785: $i > $i > $i > $i > $i).
1.44/0.63	thf(func_def_1094, type, sK787: $i > $o).
1.44/0.63	thf(func_def_1099, type, sK792: $i > $i > $i > $i > $i).
1.44/0.63	thf(func_def_1100, type, sK793: $i > $i > $i > $i > $i).
1.44/0.63	thf(func_def_1101, type, sK794: $i > $i > $i > $i > $i).
1.44/0.63	thf(func_def_1102, type, sK795: $i > $i > $i > $i > $i).
1.44/0.63	thf(func_def_1109, type, sK802: $i > $o).
1.44/0.63	thf(func_def_1111, type, sK804: ($i > $o) > $i > $i).
1.44/0.63	thf(func_def_1112, type, sK805: ($i > $o) > $i > $i).
1.44/0.63	thf(func_def_1113, type, sK806: $i > $o).
1.44/0.63	thf(func_def_1116, type, sK809: $i > ($i > $o) > $i).
1.44/0.63	thf(func_def_1118, type, ph811: !>[X0: $tType]:(X0)).
1.44/0.63	thf(f4017,plain,(
1.44/0.63	  $false),
1.44/0.63	  inference(subsumption_resolution,[],[f4016,f2973])).
1.44/0.63	thf(f2973,plain,(
1.44/0.63	  (binunionIR = $true)),
1.44/0.63	  inference(cnf_transformation,[],[f1716])).
1.44/0.63	thf(f1716,plain,(
1.44/0.63	  (setminusT_lem = $true) & (eta1 = $true) & (powersetTI1 = $true) & (setadjoin__Cong = $true) & (singletonprop = $true) & (complementInPowersetComplementIntersect = $true) & (ksndsingleton = $true) & (symdiffIneg1 = $true) & (cartprodpairmemEL = $true) & (emptysetE = $true) & (doubleComplementI1 = $true) & (sepInPowerset = $true) & (setukpairIL = $true) & (lamp = $true) & (setext = $true) & (inCongP = $true) & (notequalI1 = $true) & (setminusSubset1 = $true) & (symdiffE = $true) & (disjointsetsI1 = $true) & (contrasubsetT3 = $true) & (subsetE = $true) & (cartprodfstpairEq = $true) & (omega__Cong = $true) & (upairsetIL = $true) & (ksndpairEq = $true) & (subsetemptysetimpeq = $true) & (setunion__Cong = $true) & (setminusEL = $true) & (setunionE2 = $true) & (exuE1 = $true) & (subsetRefl = $true) & (nonemptyI = $true) & (eqbreln = $true) & (complementSubsetComplementIntersect = $true) & (quantDeMorgan3 = $true) & (contrasubsetT = $true) & (inPowerset = $true) & (subsetI2 = $true) & (vacuousDall = $true) & (setunionE = $true) & (binintersectSubset2 = $true) & (setunionsingleton2 = $true) & (ex1I2 = $true) & (kfstsingleton = $true) & (exuI2 = $true) & (setukpairIR = $true) & (powersetI = $true) & (replAx = $true) & (setadjoinAx = $true) & (omegaIndAx = $true) & (powersetAx = $true) & (setukpairinjL1 = $true) & (emptyinunitempty = $true) & (subset2powerset = $true) & (emptysetAx = $true) & (omega0Ax = $true) & (complementImpComplementIntersect = $true) & (beta2 = $true) & (emptyinPowerset = $true) & (bs114d = $true) & (dpsetconstrERa = $true) & (prop2setI = $true) & (setminusERneg = $true) & (binunionLsub = $true) & (binintersectRsub = $true) & (binunionIL = $true) & (dpsetconstrEL2 = $true) & (nonemptyE1 = $true) & (funcGraphProp2 = $true) & (iftrueProp2 = $true) & (emptyInPowerset = $true) & (iffalseProp2 = $true) & (notsubsetI = $true) & (setunionI = $true) & (binintersectSubset4 = $true) & (dpsetconstrSub = $true) & (binunionE = $true) & (uniqinunit = $true) & (lam2lamEq = $true) & (contrasubsetT1 = $true) & (upairinpowunion = $true) & (complementTnotintersectT = $true) & (secondinupair = $true) & (binunionTILcontra = $true) & (nonemptyI1 = $true) & (theprop = $true) & (funcGraphProp1 = $true) & (quantDeMorgan1 = $true) & (dpsetconstrER = $true) & (setminusILneg = $true) & (powersetsubset = $true) & (binintersectTELcontra = $true) & (doubleComplementSub2 = $true) & (upairsetE = $true) & (infuncsetfunc = $true) & (subsetTI = $true) & (upairsubunion = $true) & (setextsub = $true) & (descrp = $true) & (powersetI1 = $true) & (funcextLem = $true) & (contraSubsetComplement = $true) & (setminusLsub = $true) & (omegaSAx = $true) & (powersetT_lem = $true) & (complementTE1 = $true) & (setminusI = $true) & (prop2set2propI = $true) & (ex1E1 = $true) & (iftrueorfalse = $true) & (cartprodmempaircEq = $true) & (kpairiskpair = $true) & (setukpairinjR1 = $true) & (subsetI1 = $true) & (emptysetimpfalse = $true) & (app = $true) & (ifSingleton = $true) & (lam2p = $true) & (eqimpsubset1 = $true) & (setunionAx = $true) & (apProp = $true) & (cartprodpairmemER = $true) & (setukpairinjR2 = $true) & (cartprodmempair1 = $true) & (cartprodpairin = $true) & (sepSubset = $true) & (funcext2 = $true) & (funcGraphProp3 = $true) & (notinemptyset = $true) & (setadjoinIL = $true) & (iffalseProp1 = $true) & (setbeta = $true) & (foundationAx = $true) & (setminusIRneg = $true) & (binintersectTERcontra = $true) & (dsetconstr__Cong = $true) & (eta2 = $true) & (complementT_lem = $true) & (quantDeMorgan2 = $true) & (brelnall2 = $true) & (notdexE = $true) & (symdiffIneg2 = $true) & (binunionIR = $true) & (symdiffI2 = $true) & (in__Cong = $true) & (doubleComplementEq = $true) & (beta1 = $true) & (iftrueProp1 = $true) & (funcImageSingleton = $true) & (exuI1 = $true) & (eqinunit = $true) & (setadjoinSub2 = $true) & (funcGraphProp4 = $true) & (contrasubsetT2 = $true) & (setOfPairsIsBReln = $true) & (binintersectLsub = $true) & (iffalse = $true) & (symdiffI1 = $true) & ((($true = (in @ sK389 @ (powerset @ sK387))) & (($true = (in @ sK390 @ sK389)) & ($true = (in @ sK390 @ sK387)) & ($true != (in @ sK390 @ (binunion @ sK388 @ sK389))))) & ($true = (in @ sK388 @ (powerset @ sK387)))) & (setunionsingleton = $true) & (iftrue = $true) & (exuEu = $true) & (complementTI1 = $true) & (dsetconstrER = $true) & (cartprodsndpairEq = $true) & (setukpairinjL = $true) & (ap2apEq1 = $true) & (exuE3u = $true) & (setminusSubset2 = $true) & (setukpairinjR12 = $true) & (subsetTrans = $true) & (binintersectSubset1 = $true) & (setoftrueEq = $true) & (ifp = $true) & (subPowSU = $true) & (binintersectER = $true) & (noeltsimpempty = $true) & (dpsetconstrEL1 = $true) & (funcinfuncset = $true) & (binintersectSubset5 = $true) & (setunionsingleton1 = $true) & (setadjoinSub = $true) & (cartprodpairsurjEq = $true) & (powersetE = $true) & (emptyE1 = $true) & (powersetE1 = $true) & (kpairsurjEq = $true) & (dpsetconstrI = $true) & (notdallE = $true) & (notequalI2 = $true) & (subsetE2 = $true) & (ap2apEq2 = $true) & (upairset2IR = $true) & (quantDeMorgan4 = $true) & (funcext = $true) & (wellorderingAx = $true) & (eqimpsubset2 = $true) & (prop2setE = $true) & (powersetTE1 = $true) & (complementTcontraSubset = $true) & (ubforcartprodlem3 = $true) & (exu__Cong = $true) & (binunionEcases = $true) & (upairset2E = $true) & (exuI3 = $true) & (binintersectT_lem = $true) & (nonemptyImpWitness = $true) & (ubforcartprodlem1 = $true) & (brelnall1 = $true) & (binunionT_lem = $true) & (dsetconstrEL = $true) & (emptyI = $true) & (setminusER = $true) & (emptyset__Cong = $true) & (binunionRsub = $true) & (setukpairinjR = $true) & (setadjoinIR = $true) & (binintersectSubset3 = $true) & (kfstpairEq = $true) & (singletonsuniq = $true) & (cartprodfstin = $true) & (emptysetsubset = $true) & (cartprodmempair = $true) & (descr__Cong = $true) & (exuE3e = $true) & (powerset__Cong = $true) & (binintersectEL = $true) & (singletoninpowunion = $true) & (singletonsswitch = $true) & (singletoninpowerset = $true) & (binintersectI = $true) & (cartprodsndin = $true) & (setukpairinjL2 = $true) & (upairsetIR = $true) & (notinsingleton = $true) & (setukpairinjR11 = $true) & (setadjoinOr = $true) & (upairequniteq = $true) & (ap2p = $true) & (kpairp = $true) & (setadjoinE = $true) & (ubforcartprodlem2 = $true) & (doubleComplementSub1 = $true) & (setminusELneg = $true) & (theeq = $true) & (lamProp = $true) & (doubleComplementE1 = $true) & (setextAx = $true) & (ex1I = $true) & (exuE2 = $true) & (setextT = $true) & (ex1E2 = $true) & (singletonsubset = $true) & (subbreln = $true) & (dsetconstrI = $true)),
1.44/0.63	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK387,sK388,sK389,sK390])],[f934,f1715,f1714,f1713])).
1.44/0.63	thf(f1713,plain,(
1.44/0.63	  ? [X0,X1] : (? [X2] : (($true = (in @ X2 @ (powerset @ X0))) & ? [X3] : (($true = (in @ X3 @ X2)) & ((in @ X3 @ X0) = $true) & ($true != (in @ X3 @ (binunion @ X1 @ X2))))) & ($true = (in @ X1 @ (powerset @ X0)))) => (? [X2] : (($true = (in @ X2 @ (powerset @ sK387))) & ? [X3] : (($true = (in @ X3 @ X2)) & ((in @ X3 @ sK387) = $true) & ($true != (in @ X3 @ (binunion @ sK388 @ X2))))) & ($true = (in @ sK388 @ (powerset @ sK387))))),
1.44/0.63	  introduced(choice_axiom,[])).
1.44/0.63	thf(f1714,plain,(
1.44/0.63	  ? [X2] : (($true = (in @ X2 @ (powerset @ sK387))) & ? [X3] : (($true = (in @ X3 @ X2)) & ((in @ X3 @ sK387) = $true) & ($true != (in @ X3 @ (binunion @ sK388 @ X2))))) => (($true = (in @ sK389 @ (powerset @ sK387))) & ? [X3] : (($true = (in @ X3 @ sK389)) & ((in @ X3 @ sK387) = $true) & ($true != (in @ X3 @ (binunion @ sK388 @ sK389)))))),
1.44/0.63	  introduced(choice_axiom,[])).
1.44/0.63	thf(f1715,plain,(
1.44/0.63	  ? [X3] : (($true = (in @ X3 @ sK389)) & ((in @ X3 @ sK387) = $true) & ($true != (in @ X3 @ (binunion @ sK388 @ sK389)))) => (($true = (in @ sK390 @ sK389)) & ($true = (in @ sK390 @ sK387)) & ($true != (in @ sK390 @ (binunion @ sK388 @ sK389))))),
1.44/0.63	  introduced(choice_axiom,[])).
1.44/0.63	thf(f934,plain,(
1.44/0.63	  (setminusT_lem = $true) & (eta1 = $true) & (powersetTI1 = $true) & (setadjoin__Cong = $true) & (singletonprop = $true) & (complementInPowersetComplementIntersect = $true) & (ksndsingleton = $true) & (symdiffIneg1 = $true) & (cartprodpairmemEL = $true) & (emptysetE = $true) & (doubleComplementI1 = $true) & (sepInPowerset = $true) & (setukpairIL = $true) & (lamp = $true) & (setext = $true) & (inCongP = $true) & (notequalI1 = $true) & (setminusSubset1 = $true) & (symdiffE = $true) & (disjointsetsI1 = $true) & (contrasubsetT3 = $true) & (subsetE = $true) & (cartprodfstpairEq = $true) & (omega__Cong = $true) & (upairsetIL = $true) & (ksndpairEq = $true) & (subsetemptysetimpeq = $true) & (setunion__Cong = $true) & (setminusEL = $true) & (setunionE2 = $true) & (exuE1 = $true) & (subsetRefl = $true) & (nonemptyI = $true) & (eqbreln = $true) & (complementSubsetComplementIntersect = $true) & (quantDeMorgan3 = $true) & (contrasubsetT = $true) & (inPowerset = $true) & (subsetI2 = $true) & (vacuousDall = $true) & (setunionE = $true) & (binintersectSubset2 = $true) & (setunionsingleton2 = $true) & (ex1I2 = $true) & (kfstsingleton = $true) & (exuI2 = $true) & (setukpairIR = $true) & (powersetI = $true) & (replAx = $true) & (setadjoinAx = $true) & (omegaIndAx = $true) & (powersetAx = $true) & (setukpairinjL1 = $true) & (emptyinunitempty = $true) & (subset2powerset = $true) & (emptysetAx = $true) & (omega0Ax = $true) & (complementImpComplementIntersect = $true) & (beta2 = $true) & (emptyinPowerset = $true) & (bs114d = $true) & (dpsetconstrERa = $true) & (prop2setI = $true) & (setminusERneg = $true) & (binunionLsub = $true) & (binintersectRsub = $true) & (binunionIL = $true) & (dpsetconstrEL2 = $true) & (nonemptyE1 = $true) & (funcGraphProp2 = $true) & (iftrueProp2 = $true) & (emptyInPowerset = $true) & (iffalseProp2 = $true) & (notsubsetI = $true) & (setunionI = $true) & (binintersectSubset4 = $true) & (dpsetconstrSub = $true) & (binunionE = $true) & (uniqinunit = $true) & (lam2lamEq = $true) & (contrasubsetT1 = $true) & (upairinpowunion = $true) & (complementTnotintersectT = $true) & (secondinupair = $true) & (binunionTILcontra = $true) & (nonemptyI1 = $true) & (theprop = $true) & (funcGraphProp1 = $true) & (quantDeMorgan1 = $true) & (dpsetconstrER = $true) & (setminusILneg = $true) & (powersetsubset = $true) & (binintersectTELcontra = $true) & (doubleComplementSub2 = $true) & (upairsetE = $true) & (infuncsetfunc = $true) & (subsetTI = $true) & (upairsubunion = $true) & (setextsub = $true) & (descrp = $true) & (powersetI1 = $true) & (funcextLem = $true) & (contraSubsetComplement = $true) & (setminusLsub = $true) & (omegaSAx = $true) & (powersetT_lem = $true) & (complementTE1 = $true) & (setminusI = $true) & (prop2set2propI = $true) & (ex1E1 = $true) & (iftrueorfalse = $true) & (cartprodmempaircEq = $true) & (kpairiskpair = $true) & (setukpairinjR1 = $true) & (subsetI1 = $true) & (emptysetimpfalse = $true) & (app = $true) & (ifSingleton = $true) & (lam2p = $true) & (eqimpsubset1 = $true) & (setunionAx = $true) & (apProp = $true) & (cartprodpairmemER = $true) & (setukpairinjR2 = $true) & (cartprodmempair1 = $true) & (cartprodpairin = $true) & (sepSubset = $true) & (funcext2 = $true) & (funcGraphProp3 = $true) & (notinemptyset = $true) & (setadjoinIL = $true) & (iffalseProp1 = $true) & (setbeta = $true) & (foundationAx = $true) & (setminusIRneg = $true) & (binintersectTERcontra = $true) & (dsetconstr__Cong = $true) & (eta2 = $true) & (complementT_lem = $true) & (quantDeMorgan2 = $true) & (brelnall2 = $true) & (notdexE = $true) & (symdiffIneg2 = $true) & (binunionIR = $true) & (symdiffI2 = $true) & (in__Cong = $true) & (doubleComplementEq = $true) & (beta1 = $true) & (iftrueProp1 = $true) & (funcImageSingleton = $true) & (exuI1 = $true) & (eqinunit = $true) & (setadjoinSub2 = $true) & (funcGraphProp4 = $true) & (contrasubsetT2 = $true) & (setOfPairsIsBReln = $true) & (binintersectLsub = $true) & (iffalse = $true) & (symdiffI1 = $true) & ? [X0,X1] : (? [X2] : (($true = (in @ X2 @ (powerset @ X0))) & ? [X3] : (($true = (in @ X3 @ X2)) & ((in @ X3 @ X0) = $true) & ($true != (in @ X3 @ (binunion @ X1 @ X2))))) & ($true = (in @ X1 @ (powerset @ X0)))) & (setunionsingleton = $true) & (iftrue = $true) & (exuEu = $true) & (complementTI1 = $true) & (dsetconstrER = $true) & (cartprodsndpairEq = $true) & (setukpairinjL = $true) & (ap2apEq1 = $true) & (exuE3u = $true) & (setminusSubset2 = $true) & (setukpairinjR12 = $true) & (subsetTrans = $true) & (binintersectSubset1 = $true) & (setoftrueEq = $true) & (ifp = $true) & (subPowSU = $true) & (binintersectER = $true) & (noeltsimpempty = $true) & (dpsetconstrEL1 = $true) & (funcinfuncset = $true) & (binintersectSubset5 = $true) & (setunionsingleton1 = $true) & (setadjoinSub = $true) & (cartprodpairsurjEq = $true) & (powersetE = $true) & (emptyE1 = $true) & (powersetE1 = $true) & (kpairsurjEq = $true) & (dpsetconstrI = $true) & (notdallE = $true) & (notequalI2 = $true) & (subsetE2 = $true) & (ap2apEq2 = $true) & (upairset2IR = $true) & (quantDeMorgan4 = $true) & (funcext = $true) & (wellorderingAx = $true) & (eqimpsubset2 = $true) & (prop2setE = $true) & (powersetTE1 = $true) & (complementTcontraSubset = $true) & (ubforcartprodlem3 = $true) & (exu__Cong = $true) & (binunionEcases = $true) & (upairset2E = $true) & (exuI3 = $true) & (binintersectT_lem = $true) & (nonemptyImpWitness = $true) & (ubforcartprodlem1 = $true) & (brelnall1 = $true) & (binunionT_lem = $true) & (dsetconstrEL = $true) & (emptyI = $true) & (setminusER = $true) & (emptyset__Cong = $true) & (binunionRsub = $true) & (setukpairinjR = $true) & (setadjoinIR = $true) & (binintersectSubset3 = $true) & (kfstpairEq = $true) & (singletonsuniq = $true) & (cartprodfstin = $true) & (emptysetsubset = $true) & (cartprodmempair = $true) & (descr__Cong = $true) & (exuE3e = $true) & (powerset__Cong = $true) & (binintersectEL = $true) & (singletoninpowunion = $true) & (singletonsswitch = $true) & (singletoninpowerset = $true) & (binintersectI = $true) & (cartprodsndin = $true) & (setukpairinjL2 = $true) & (upairsetIR = $true) & (notinsingleton = $true) & (setukpairinjR11 = $true) & (setadjoinOr = $true) & (upairequniteq = $true) & (ap2p = $true) & (kpairp = $true) & (setadjoinE = $true) & (ubforcartprodlem2 = $true) & (doubleComplementSub1 = $true) & (setminusELneg = $true) & (theeq = $true) & (lamProp = $true) & (doubleComplementE1 = $true) & (setextAx = $true) & (ex1I = $true) & (exuE2 = $true) & (setextT = $true) & (ex1E2 = $true) & (singletonsubset = $true) & (subbreln = $true) & (dsetconstrI = $true)),
1.44/0.63	  inference(flattening,[],[f933])).
1.44/0.63	thf(f933,plain,(
1.44/0.63	  ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : (? [X3] : ((($true = (in @ X3 @ X2)) & ($true != (in @ X3 @ (binunion @ X1 @ X2)))) & ((in @ X3 @ X0) = $true)) & ($true = (in @ X2 @ (powerset @ X0)))) & ($true = (in @ X1 @ (powerset @ X0)))) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
1.44/0.63	  inference(ennf_transformation,[],[f813])).
1.44/0.63	thf(f813,plain,(
1.44/0.63	  ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ! [X0,X1] : (($true = (in @ X1 @ (powerset @ X0))) => ! [X2] : (($true = (in @ X2 @ (powerset @ X0))) => ! [X3] : (((in @ X3 @ X0) = $true) => (($true != (in @ X3 @ (binunion @ X1 @ X2))) => ($true != (in @ X3 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.44/0.63	  inference(flattening,[],[f581])).
1.44/0.63	thf(f581,plain,(
1.44/0.63	  ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ! [X0,X1] : (($true = (in @ X1 @ (powerset @ X0))) => ! [X2] : (($true = (in @ X2 @ (powerset @ X0))) => ! [X3] : (((in @ X3 @ X0) = $true) => (~($true = (in @ X3 @ (binunion @ X1 @ X2))) => ~($true = (in @ X3 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.44/0.63	  inference(fool_elimination,[],[f580])).
1.44/0.63	thf(f580,plain,(
1.44/0.63	  ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => ! [X0,X1] : ((in @ X1 @ (powerset @ X0)) => ! [X2] : ((in @ X2 @ (powerset @ X0)) => ! [X3] : ((in @ X3 @ X0) => (~(in @ X3 @ (binunion @ X1 @ X2)) => ~(in @ X3 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.44/0.63	  inference(rectify,[],[f261])).
1.44/0.63	thf(f261,negated_conjecture,(
1.44/0.63	  ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => ! [X3,X11] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => (~(in @ X1 @ (binunion @ X11 @ X16)) => ~(in @ X1 @ X16))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.44/0.63	  inference(negated_conjecture,[],[f260])).
1.44/0.63	thf(f260,conjecture,(
1.44/0.63	  setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => ! [X3,X11] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => (~(in @ X1 @ (binunion @ X11 @ X16)) => ~(in @ X1 @ X16)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.44/0.63	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',binunionTIRcontra)).
1.44/0.63	thf(f4016,plain,(
1.44/0.63	  (binunionIR != $true)),
1.44/0.63	  inference(subsumption_resolution,[],[f4011,f2956])).
1.44/0.63	thf(f2956,plain,(
1.44/0.63	  ($true = (in @ sK390 @ sK389))),
1.44/0.63	  inference(cnf_transformation,[],[f1716])).
1.44/0.63	thf(f4011,plain,(
1.44/0.63	  ($true != (in @ sK390 @ sK389)) | (binunionIR != $true)),
1.44/0.63	  inference(trivial_inequality_removal,[],[f4001])).
1.44/0.63	thf(f4001,plain,(
1.44/0.63	  ($true != $true) | (binunionIR != $true) | ($true != (in @ sK390 @ sK389))),
1.44/0.63	  inference(superposition,[],[f2954,f2413])).
1.44/0.63	thf(f2413,plain,(
1.44/0.63	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X1 @ (binunion @ X2 @ X0)) = $true) | (binunionIR != $true) | ((in @ X1 @ X0) != $true)) )),
1.44/0.63	  inference(cnf_transformation,[],[f1188])).
1.44/0.63	thf(f1188,plain,(
1.44/0.63	  (! [X0,X1,X2] : (((in @ X1 @ (binunion @ X2 @ X0)) = $true) | ((in @ X1 @ X0) != $true)) | (binunionIR != $true)) & ((binunionIR = $true) | (($true != (in @ sK43 @ (binunion @ sK44 @ sK42))) & ($true = (in @ sK43 @ sK42))))),
1.44/0.63	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK42,sK43,sK44])],[f1186,f1187])).
1.44/0.63	thf(f1187,plain,(
1.44/0.63	  ? [X3,X4,X5] : (($true != (in @ X4 @ (binunion @ X5 @ X3))) & ((in @ X4 @ X3) = $true)) => (($true != (in @ sK43 @ (binunion @ sK44 @ sK42))) & ($true = (in @ sK43 @ sK42)))),
1.44/0.63	  introduced(choice_axiom,[])).
1.44/0.63	thf(f1186,plain,(
1.44/0.63	  (! [X0,X1,X2] : (((in @ X1 @ (binunion @ X2 @ X0)) = $true) | ((in @ X1 @ X0) != $true)) | (binunionIR != $true)) & ((binunionIR = $true) | ? [X3,X4,X5] : (($true != (in @ X4 @ (binunion @ X5 @ X3))) & ((in @ X4 @ X3) = $true)))),
1.44/0.63	  inference(rectify,[],[f1185])).
1.44/0.63	thf(f1185,plain,(
1.44/0.63	  (! [X0,X1,X2] : (((in @ X1 @ (binunion @ X2 @ X0)) = $true) | ((in @ X1 @ X0) != $true)) | (binunionIR != $true)) & ((binunionIR = $true) | ? [X0,X1,X2] : (((in @ X1 @ (binunion @ X2 @ X0)) != $true) & ((in @ X1 @ X0) = $true)))),
1.44/0.63	  inference(nnf_transformation,[],[f1013])).
1.44/0.63	thf(f1013,plain,(
1.44/0.63	  ! [X0,X1,X2] : (((in @ X1 @ (binunion @ X2 @ X0)) = $true) | ((in @ X1 @ X0) != $true)) <=> (binunionIR = $true)),
1.44/0.63	  inference(ennf_transformation,[],[f729])).
1.44/0.63	thf(f729,plain,(
1.44/0.63	  ! [X0,X1,X2] : (((in @ X1 @ X0) = $true) => ((in @ X1 @ (binunion @ X2 @ X0)) = $true)) <=> (binunionIR = $true)),
1.44/0.63	  inference(fool_elimination,[],[f728])).
1.44/0.63	thf(f728,plain,(
1.44/0.63	  (! [X0,X1,X2] : ((in @ X1 @ X0) => (in @ X1 @ (binunion @ X2 @ X0))) = binunionIR)),
1.44/0.63	  inference(rectify,[],[f103])).
1.44/0.63	thf(f103,axiom,(
1.44/0.63	  (! [X4,X1,X3] : ((in @ X1 @ X4) => (in @ X1 @ (binunion @ X3 @ X4))) = binunionIR)),
1.44/0.63	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',binunionIR)).
1.44/0.63	thf(f2954,plain,(
1.44/0.63	  ($true != (in @ sK390 @ (binunion @ sK388 @ sK389)))),
1.44/0.63	  inference(cnf_transformation,[],[f1716])).
1.44/0.63	% SZS output end Proof for theBenchmark
1.44/0.63	% (3054)------------------------------
1.44/0.63	% (3054)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.44/0.63	% (3054)Termination reason: Refutation
1.44/0.63	
1.44/0.63	% (3054)Memory used [KB]: 10746
1.44/0.63	% (3054)Time elapsed: 0.165 s
1.44/0.63	% (3054)Instructions burned: 355 (million)
1.44/0.63	% (3054)------------------------------
1.44/0.63	% (3054)------------------------------
1.44/0.63	% (3046)Success in time 0.203 s
1.44/0.63	% Vampire---4.8 exiting
1.44/0.63	EOF