0.06/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.11	% Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
0.11/0.31	% Computer : n009.cluster.edu
0.11/0.31	% Model    : x86_64 x86_64
0.11/0.31	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.31	% Memory   : 8042.1875MB
0.11/0.31	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.31	% CPULimit   : 300
0.11/0.31	% WCLimit    : 300
0.11/0.31	% DateTime   : Fri Jul  5 04:22:39 EDT 2024
0.11/0.31	% CPUTime    : 
0.17/0.33	This is a THF_ problem
0.17/0.33	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/sandbox2/benchmark/theBenchmark.p
0.17/0.34	% (30548)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)
0.17/0.35	% (30549)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
0.17/0.35	% (30546)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
0.17/0.35	% (30550)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)
0.17/0.35	% (30545)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2999ds/96Mi)
0.17/0.35	% (30547)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
0.17/0.35	% (30552)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)
0.17/0.35	% (30549)Instruction limit reached!
0.17/0.35	% (30549)------------------------------
0.17/0.35	% (30549)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.17/0.35	% (30549)Termination reason: Unknown
0.17/0.35	% (30549)Termination phase: Saturation
0.17/0.35	
0.17/0.35	% (30549)Memory used [KB]: 5756
0.17/0.35	% (30549)Time elapsed: 0.009 s
0.17/0.35	% (30549)Instructions burned: 18 (million)
0.17/0.35	% (30549)------------------------------
0.17/0.35	% (30549)------------------------------
0.17/0.36	% (30551)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
0.17/0.36	% (30551)Instruction limit reached!
0.17/0.36	% (30551)------------------------------
0.17/0.36	% (30551)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.17/0.36	% (30551)Termination reason: Unknown
0.17/0.36	% (30551)Termination phase: Preprocessing 3
0.17/0.36	
0.17/0.36	% (30551)Memory used [KB]: 1023
0.17/0.36	% (30551)Time elapsed: 0.005 s
0.17/0.36	% (30551)Instructions burned: 4 (million)
0.17/0.36	% (30551)------------------------------
0.17/0.36	% (30551)------------------------------
0.17/0.36	% (30546)Instruction limit reached!
0.17/0.36	% (30546)------------------------------
0.17/0.36	% (30546)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.17/0.36	% (30546)Termination reason: Unknown
0.17/0.36	% (30546)Termination phase: Saturation
0.17/0.36	
0.17/0.36	% (30546)Memory used [KB]: 5884
0.17/0.36	% (30546)Time elapsed: 0.018 s
0.17/0.36	% (30546)Instructions burned: 36 (million)
0.17/0.36	% (30546)------------------------------
0.17/0.36	% (30546)------------------------------
0.17/0.36	% (30553)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)
0.17/0.37	% (30547)Instruction limit reached!
0.17/0.37	% (30547)------------------------------
0.17/0.37	% (30547)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.17/0.37	% (30547)Termination reason: Unknown
0.17/0.37	% (30547)Termination phase: Saturation
0.17/0.37	
0.17/0.37	% (30547)Memory used [KB]: 5884
0.17/0.37	% (30547)Time elapsed: 0.021 s
0.17/0.37	% (30547)Instructions burned: 34 (million)
0.17/0.37	% (30547)------------------------------
0.17/0.37	% (30547)------------------------------
0.17/0.37	% (30553)Instruction limit reached!
0.17/0.37	% (30553)------------------------------
0.17/0.37	% (30553)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.17/0.37	% (30553)Termination reason: Unknown
0.17/0.37	% (30553)Termination phase: Saturation
0.17/0.37	
0.17/0.38	% (30553)Memory used [KB]: 5756
0.17/0.38	% (30553)Time elapsed: 0.012 s
0.17/0.38	% (30553)Instructions burned: 21 (million)
0.17/0.38	% (30553)------------------------------
0.17/0.38	% (30553)------------------------------
0.17/0.38	% (30555)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)
0.17/0.38	% (30554)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
0.17/0.38	% (30556)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)
0.17/0.39	% (30554)Instruction limit reached!
0.17/0.39	% (30554)------------------------------
0.17/0.39	% (30554)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.17/0.39	% (30554)Termination reason: Unknown
0.17/0.39	% (30554)Termination phase: Property scanning
0.17/0.39	
0.17/0.39	% (30554)Memory used [KB]: 1151
0.17/0.39	% (30554)Time elapsed: 0.007 s
0.17/0.39	% (30554)Instructions burned: 7 (million)
0.17/0.39	% (30554)------------------------------
0.17/0.39	% (30554)------------------------------
0.17/0.39	% (30550)Instruction limit reached!
0.17/0.39	% (30550)------------------------------
0.17/0.39	% (30550)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.17/0.39	% (30550)Termination reason: Unknown
0.17/0.39	% (30550)Termination phase: Saturation
0.17/0.39	
0.17/0.39	% (30550)Memory used [KB]: 5884
0.17/0.39	% (30550)Time elapsed: 0.041 s
0.17/0.39	% (30550)Instructions burned: 74 (million)
0.17/0.39	% (30550)------------------------------
0.17/0.39	% (30550)------------------------------
0.17/0.39	% (30557)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)
0.17/0.39	% (30557)Instruction limit reached!
0.17/0.39	% (30557)------------------------------
0.17/0.39	% (30557)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.17/0.39	% (30557)Termination reason: Unknown
0.17/0.39	% (30557)Termination phase: Saturation
0.17/0.39	
0.17/0.39	% (30557)Memory used [KB]: 5628
0.17/0.39	% (30557)Time elapsed: 0.007 s
0.17/0.39	% (30557)Instructions burned: 9 (million)
0.17/0.39	% (30557)------------------------------
0.17/0.39	% (30557)------------------------------
0.17/0.40	% (30558)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)
0.18/0.40	% (30545)Instruction limit reached!
0.18/0.40	% (30545)------------------------------
0.18/0.40	% (30545)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.18/0.40	% (30545)Termination reason: Unknown
0.18/0.40	% (30545)Termination phase: Saturation
0.18/0.40	
0.18/0.40	% (30545)Memory used [KB]: 6012
0.18/0.40	% (30545)Time elapsed: 0.056 s
0.18/0.40	% (30545)Instructions burned: 96 (million)
0.18/0.40	% (30545)------------------------------
0.18/0.40	% (30545)------------------------------
0.18/0.40	% (30559)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)
0.18/0.41	% (30560)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on theBenchmark for (2999ds/61Mi)
0.18/0.42	% (30561)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on theBenchmark for (2999ds/14Mi)
0.18/0.43	% (30561)Instruction limit reached!
0.18/0.43	% (30561)------------------------------
0.18/0.43	% (30561)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.18/0.43	% (30561)Termination reason: Unknown
0.18/0.43	% (30561)Termination phase: Saturation
0.18/0.43	
0.18/0.43	% (30561)Memory used [KB]: 5628
0.18/0.43	% (30561)Time elapsed: 0.010 s
0.18/0.43	% (30556)Instruction limit reached!
0.18/0.43	% (30556)------------------------------
0.18/0.43	% (30556)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.18/0.43	% (30556)Termination reason: Unknown
0.18/0.43	% (30556)Termination phase: Saturation
0.18/0.43	
0.18/0.43	% (30556)Memory used [KB]: 6012
0.18/0.43	% (30556)Time elapsed: 0.046 s
0.18/0.43	% (30556)Instructions burned: 71 (million)
0.18/0.43	% (30556)------------------------------
0.18/0.43	% (30556)------------------------------
0.18/0.43	% (30561)Instructions burned: 15 (million)
0.18/0.43	% (30561)------------------------------
0.18/0.43	% (30561)------------------------------
0.18/0.44	% (30562)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)
0.18/0.44	% (30563)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)
0.18/0.44	% (30562)Instruction limit reached!
0.18/0.44	% (30562)------------------------------
0.18/0.44	% (30562)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.18/0.44	% (30562)Termination reason: Unknown
0.18/0.44	% (30562)Termination phase: shuffling
0.18/0.44	
0.18/0.44	% (30562)Memory used [KB]: 1023
0.18/0.44	% (30562)Time elapsed: 0.003 s
0.18/0.44	% (30562)Instructions burned: 2 (million)
0.18/0.44	% (30562)------------------------------
0.18/0.44	% (30562)------------------------------
0.18/0.44	% (30560)Instruction limit reached!
0.18/0.44	% (30560)------------------------------
0.18/0.44	% (30560)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.18/0.44	% (30560)Termination reason: Unknown
0.18/0.44	% (30560)Termination phase: Saturation
0.18/0.44	
0.18/0.44	% (30560)Memory used [KB]: 6012
0.18/0.44	% (30560)Time elapsed: 0.037 s
0.18/0.44	% (30560)Instructions burned: 61 (million)
0.18/0.44	% (30560)------------------------------
0.18/0.44	% (30560)------------------------------
0.18/0.46	% (30565)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)
0.18/0.46	% (30564)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)
0.18/0.46	% (30559)Instruction limit reached!
0.18/0.46	% (30559)------------------------------
0.18/0.46	% (30559)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.18/0.46	% (30559)Termination reason: Unknown
0.18/0.46	% (30559)Termination phase: Saturation
0.18/0.46	
0.18/0.46	% (30559)Memory used [KB]: 6268
0.18/0.46	% (30559)Time elapsed: 0.061 s
0.18/0.46	% (30559)Instructions burned: 129 (million)
0.18/0.46	% (30559)------------------------------
0.18/0.46	% (30559)------------------------------
0.18/0.47	% (30564)Instruction limit reached!
0.18/0.47	% (30564)------------------------------
0.18/0.47	% (30564)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.18/0.47	% (30564)Termination reason: Unknown
0.18/0.47	% (30564)Termination phase: Saturation
0.18/0.47	
0.18/0.47	% (30564)Memory used [KB]: 5500
0.18/0.47	% (30564)Time elapsed: 0.008 s
0.18/0.47	% (30564)Instructions burned: 11 (million)
0.18/0.47	% (30564)------------------------------
0.18/0.47	% (30564)------------------------------
0.18/0.47	% (30566)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)
0.18/0.48	% (30567)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)
0.18/0.48	% (30566)Instruction limit reached!
0.18/0.48	% (30566)------------------------------
0.18/0.48	% (30566)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.18/0.48	% (30566)Termination reason: Unknown
0.18/0.48	% (30566)Termination phase: Saturation
0.18/0.48	
0.18/0.48	% (30566)Memory used [KB]: 5500
0.18/0.48	% (30566)Time elapsed: 0.008 s
0.18/0.48	% (30566)Instructions burned: 27 (million)
0.18/0.48	% (30566)------------------------------
0.18/0.48	% (30566)------------------------------
0.18/0.49	% (30568)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)
0.18/0.50	% (30567)Instruction limit reached!
0.18/0.50	% (30567)------------------------------
0.18/0.50	% (30567)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.18/0.50	% (30567)Termination reason: Unknown
0.18/0.50	% (30567)Termination phase: Saturation
0.18/0.50	
0.18/0.50	% (30567)Memory used [KB]: 1535
0.18/0.50	% (30567)Time elapsed: 0.022 s
0.18/0.50	% (30567)Instructions burned: 58 (million)
0.18/0.50	% (30567)------------------------------
0.18/0.50	% (30567)------------------------------
0.18/0.51	% (30569)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)
0.18/0.51	% (30569)Instruction limit reached!
0.18/0.51	% (30569)------------------------------
0.18/0.51	% (30569)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.18/0.51	% (30569)Termination reason: Unknown
0.18/0.51	% (30569)Termination phase: Preprocessing 2
0.18/0.51	
0.18/0.51	% (30569)Memory used [KB]: 1023
0.18/0.51	% (30569)Time elapsed: 0.002 s
0.18/0.51	% (30569)Instructions burned: 3 (million)
0.18/0.51	% (30569)------------------------------
0.18/0.51	% (30569)------------------------------
0.18/0.52	% (30565)Instruction limit reached!
0.18/0.52	% (30565)------------------------------
0.18/0.52	% (30565)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.18/0.52	% (30565)Termination reason: Unknown
0.18/0.52	% (30565)Termination phase: Saturation
0.18/0.52	
0.18/0.52	% (30565)Memory used [KB]: 6396
0.18/0.52	% (30565)Time elapsed: 0.061 s
0.18/0.52	% (30565)Instructions burned: 141 (million)
0.18/0.52	% (30565)------------------------------
0.18/0.52	% (30565)------------------------------
0.18/0.52	% (30570)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
0.18/0.52	% (30570)Instruction limit reached!
0.18/0.52	% (30570)------------------------------
0.18/0.52	% (30570)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.18/0.52	% (30570)Termination reason: Unknown
0.18/0.52	% (30570)Termination phase: Saturation
0.18/0.52	
0.18/0.52	% (30570)Memory used [KB]: 5500
0.18/0.52	% (30570)Time elapsed: 0.006 s
0.18/0.52	% (30570)Instructions burned: 19 (million)
0.18/0.52	% (30570)------------------------------
0.18/0.52	% (30570)------------------------------
0.18/0.53	% (30548)Instruction limit reached!
0.18/0.53	% (30548)------------------------------
0.18/0.53	% (30548)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.18/0.53	% (30548)Termination reason: Unknown
0.18/0.53	% (30548)Termination phase: Saturation
0.18/0.53	
0.18/0.53	% (30548)Memory used [KB]: 7291
0.18/0.53	% (30548)Time elapsed: 0.182 s
0.18/0.53	% (30548)Instructions burned: 385 (million)
0.18/0.53	% (30548)------------------------------
0.18/0.53	% (30548)------------------------------
0.18/0.53	% (30571)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2998ds/44Mi)
0.18/0.53	% (30573)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2998ds/62Mi)
0.18/0.54	% (30572)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on theBenchmark for (2998ds/191Mi)
0.18/0.54	% (30571)Instruction limit reached!
0.18/0.54	% (30571)------------------------------
0.18/0.54	% (30571)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.18/0.54	% (30571)Termination reason: Unknown
0.18/0.54	% (30571)Termination phase: Saturation
0.18/0.54	
0.18/0.54	% (30571)Memory used [KB]: 1151
0.18/0.54	% (30571)Time elapsed: 0.013 s
0.18/0.54	% (30571)Instructions burned: 46 (million)
0.18/0.54	% (30571)------------------------------
0.18/0.54	% (30571)------------------------------
0.18/0.55	% (30574)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=105:si=on:rtra=on_0 on theBenchmark for (2998ds/105Mi)
0.18/0.56	% (30573)Instruction limit reached!
0.18/0.56	% (30573)------------------------------
0.18/0.56	% (30573)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.18/0.56	% (30573)Termination reason: Unknown
0.18/0.56	% (30573)Termination phase: Saturation
0.18/0.56	
0.18/0.56	% (30573)Memory used [KB]: 5756
0.18/0.56	% (30573)Time elapsed: 0.027 s
0.18/0.56	% (30573)Instructions burned: 63 (million)
0.18/0.56	% (30573)------------------------------
0.18/0.56	% (30573)------------------------------
0.18/0.57	% (30575)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
0.18/0.57	% (30575)Instruction limit reached!
0.18/0.57	% (30575)------------------------------
0.18/0.57	% (30575)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.18/0.57	% (30575)Termination reason: Unknown
0.18/0.57	% (30575)Termination phase: Preprocessing 2
0.18/0.57	
0.18/0.57	% (30575)Memory used [KB]: 1023
0.18/0.57	% (30575)Time elapsed: 0.003 s
0.18/0.57	% (30575)Instructions burned: 3 (million)
0.18/0.57	% (30575)------------------------------
0.18/0.57	% (30575)------------------------------
0.18/0.58	% (30583)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=238:si=on:rtra=on_0 on theBenchmark for (2997ds/238Mi)
0.18/0.59	% (30568)Instruction limit reached!
0.18/0.59	% (30568)------------------------------
0.18/0.59	% (30568)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.18/0.59	% (30568)Termination reason: Unknown
0.18/0.59	% (30568)Termination phase: Saturation
0.18/0.59	
0.18/0.59	% (30568)Memory used [KB]: 6524
0.18/0.59	% (30568)Time elapsed: 0.103 s
0.18/0.59	% (30568)Instructions burned: 276 (million)
0.18/0.59	% (30568)------------------------------
0.18/0.59	% (30568)------------------------------
0.18/0.59	% (30574)Instruction limit reached!
0.18/0.59	% (30574)------------------------------
0.18/0.59	% (30574)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.18/0.59	% (30574)Termination reason: Unknown
0.18/0.59	% (30574)Termination phase: Saturation
0.18/0.59	
0.18/0.59	% (30574)Memory used [KB]: 6140
0.18/0.59	% (30574)Time elapsed: 0.048 s
0.18/0.59	% (30574)Instructions burned: 106 (million)
0.18/0.59	% (30574)------------------------------
0.18/0.59	% (30574)------------------------------
2.19/0.61	% (30585)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2997ds/4Mi)
2.19/0.61	% (30585)Instruction limit reached!
2.19/0.61	% (30585)------------------------------
2.19/0.61	% (30585)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.19/0.61	% (30585)Termination reason: Unknown
2.19/0.61	% (30585)Termination phase: Naming
2.19/0.61	
2.19/0.61	% (30585)Memory used [KB]: 1023
2.19/0.61	% (30585)Time elapsed: 0.003 s
2.19/0.61	% (30585)Instructions burned: 4 (million)
2.19/0.61	% (30585)------------------------------
2.19/0.61	% (30585)------------------------------
2.19/0.61	% (30584)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
2.19/0.61	% (30584)Instruction limit reached!
2.19/0.61	% (30584)------------------------------
2.19/0.61	% (30584)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.19/0.61	% (30584)Termination reason: Unknown
2.19/0.61	% (30584)Termination phase: Property scanning
2.19/0.61	
2.19/0.61	% (30584)Memory used [KB]: 1023
2.19/0.61	% (30584)Time elapsed: 0.002 s
2.19/0.61	% (30584)Instructions burned: 3 (million)
2.19/0.61	% (30584)------------------------------
2.19/0.61	% (30584)------------------------------
2.19/0.62	% (30563)First to succeed.
2.32/0.62	% (30572)Instruction limit reached!
2.32/0.62	% (30572)------------------------------
2.32/0.62	% (30572)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.32/0.62	% (30572)Termination reason: Unknown
2.32/0.62	% (30572)Termination phase: Saturation
2.32/0.62	
2.32/0.62	% (30572)Memory used [KB]: 6524
2.32/0.62	% (30572)Time elapsed: 0.084 s
2.32/0.62	% (30572)Instructions burned: 191 (million)
2.32/0.62	% (30572)------------------------------
2.32/0.62	% (30572)------------------------------
2.32/0.62	% (30587)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
2.32/0.62	% (30586)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
2.42/0.64	% (30588)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=199:si=on:rtra=on_0 on theBenchmark for (2997ds/199Mi)
2.42/0.64	% (30563)Refutation found. Thanks to Tanya!
2.42/0.64	% SZS status Theorem for theBenchmark
2.42/0.64	% SZS output start Proof for theBenchmark
2.42/0.64	thf(type_def_5, type, a: $tType).
2.42/0.64	thf(func_def_0, type, a: $tType).
2.42/0.64	thf(func_def_20, type, ph1: !>[X0: $tType]:(X0)).
2.42/0.64	thf(func_def_21, type, sK2: a).
2.42/0.64	thf(func_def_22, type, sK3: a > a > $o).
2.42/0.64	thf(func_def_23, type, sK4: a).
2.42/0.64	thf(func_def_24, type, sK5: a > a > $o).
2.42/0.64	thf(func_def_25, type, sK6: a > $o).
2.42/0.64	thf(func_def_26, type, sK7: a).
2.42/0.64	thf(func_def_27, type, sK8: a).
2.42/0.64	thf(func_def_28, type, sK9: a).
2.42/0.64	thf(func_def_29, type, sK10: a).
2.42/0.64	thf(func_def_30, type, sK11: a > $o).
2.42/0.64	thf(func_def_31, type, sK12: a).
2.42/0.64	thf(func_def_32, type, sK13: a).
2.42/0.64	thf(func_def_33, type, sK14: a).
2.42/0.64	thf(func_def_34, type, sK15: a).
2.42/0.64	thf(func_def_35, type, sK16: a).
2.42/0.64	thf(func_def_36, type, sK17: a > $o).
2.42/0.64	thf(func_def_37, type, sK18: a).
2.42/0.64	thf(func_def_38, type, sK19: a).
2.42/0.64	thf(func_def_39, type, sK20: a).
2.42/0.64	thf(func_def_40, type, sK21: a).
2.42/0.64	thf(func_def_41, type, sK22: a).
2.42/0.64	thf(func_def_42, type, sK23: a).
2.42/0.64	thf(func_def_43, type, sK24: a).
2.42/0.64	thf(func_def_44, type, sK25: a).
2.42/0.64	thf(f2843,plain,(
2.42/0.64	  $false),
2.42/0.64	  inference(avatar_sat_refutation,[],[f29,f41,f105,f273,f324,f404,f439,f910,f1006,f1025,f1231,f1261,f1433,f1483,f1551,f2178,f2197,f2450,f2456,f2464,f2813])).
2.42/0.64	thf(f2813,plain,(
2.42/0.64	  ~spl0_1 | ~spl0_14 | ~spl0_23),
2.42/0.64	  inference(avatar_contradiction_clause,[],[f2812])).
2.42/0.64	thf(f2812,plain,(
2.42/0.64	  $false | (~spl0_1 | ~spl0_14 | ~spl0_23)),
2.42/0.64	  inference(trivial_inequality_removal,[],[f2811])).
2.42/0.64	thf(f2811,plain,(
2.42/0.64	  ($true = $false) | (~spl0_1 | ~spl0_14 | ~spl0_23)),
2.42/0.64	  inference(forward_demodulation,[],[f2810,f2637])).
2.42/0.64	thf(f2637,plain,(
2.42/0.64	  ((sK17 @ sK23) = $false) | ~spl0_23),
2.42/0.64	  inference(boolean_simplification,[],[f2636])).
2.42/0.64	thf(f2636,plain,(
2.42/0.64	  (($true => (sK17 @ sK23)) = $false) | ~spl0_23),
2.42/0.64	  inference(backward_demodulation,[],[f2630,f2635])).
2.42/0.64	thf(f2635,plain,(
2.42/0.64	  (((sK17 @ sK24) & (sK3 @ sK24 @ sK23)) = $true) | ~spl0_23),
2.42/0.64	  inference(binary_proxy_clausification,[],[f2630])).
2.42/0.64	thf(f2630,plain,(
2.42/0.64	  ((((sK17 @ sK24) & (sK3 @ sK24 @ sK23)) => (sK17 @ sK23)) = $false) | ~spl0_23),
2.42/0.64	  inference(beta_eta_normalization,[],[f2629])).
2.42/0.64	thf(f2629,plain,(
2.42/0.64	  (((^[Y0 : a]: (((sK17 @ Y0) & (sK3 @ Y0 @ sK23)) => (sK17 @ sK23))) @ sK24) = $false) | ~spl0_23),
2.42/0.64	  inference(sigma_clausification,[],[f2614])).
2.42/0.64	thf(f2614,plain,(
2.42/0.64	  ((!! @ a @ (^[Y0 : a]: (((sK17 @ Y0) & (sK3 @ Y0 @ sK23)) => (sK17 @ sK23)))) = $false) | ~spl0_23),
2.42/0.64	  inference(beta_eta_normalization,[],[f2612])).
2.42/0.64	thf(f2612,plain,(
2.42/0.64	  (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK17 @ Y1) & (sK3 @ Y1 @ Y0)) => (sK17 @ Y0))))) @ sK23) = $false) | ~spl0_23),
2.42/0.64	  inference(sigma_clausification,[],[f1227])).
2.42/0.64	thf(f1227,plain,(
2.42/0.64	  ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK17 @ Y1) & (sK3 @ Y1 @ Y0)) => (sK17 @ Y0)))))) = $false) | ~spl0_23),
2.42/0.64	  inference(avatar_component_clause,[],[f1226])).
2.42/0.64	thf(f1226,plain,(
2.42/0.64	  spl0_23 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK17 @ Y1) & (sK3 @ Y1 @ Y0)) => (sK17 @ Y0)))))) = $false)),
2.42/0.64	  introduced(avatar_definition,[new_symbols(naming,[spl0_23])])).
2.42/0.64	thf(f2810,plain,(
2.42/0.64	  ($true = (sK17 @ sK23)) | (~spl0_1 | ~spl0_14 | ~spl0_23)),
2.42/0.64	  inference(boolean_simplification,[],[f2809])).
2.42/0.64	thf(f2809,plain,(
2.42/0.64	  ($true = ($true => (sK17 @ sK23))) | (~spl0_1 | ~spl0_14 | ~spl0_23)),
2.42/0.64	  inference(forward_demodulation,[],[f2755,f2654])).
2.42/0.64	thf(f2654,plain,(
2.42/0.64	  ($true = (sK17 @ sK25)) | ~spl0_23),
2.42/0.64	  inference(binary_proxy_clausification,[],[f2648])).
2.42/0.64	thf(f2648,plain,(
2.42/0.64	  ($true = ((sK17 @ sK25) & (sK3 @ sK25 @ sK23))) | ~spl0_23),
2.42/0.64	  inference(not_proxy_clausification,[],[f2643])).
2.42/0.64	thf(f2643,plain,(
2.42/0.64	  ((~ ((sK17 @ sK25) & (sK3 @ sK25 @ sK23))) = $false) | ~spl0_23),
2.42/0.64	  inference(beta_eta_normalization,[],[f2642])).
2.42/0.64	thf(f2642,plain,(
2.42/0.64	  (((^[Y0 : a]: (~ ((sK17 @ Y0) & (sK3 @ Y0 @ sK23)))) @ sK25) = $false) | ~spl0_23),
2.42/0.64	  inference(sigma_clausification,[],[f2639])).
2.42/0.64	thf(f2639,plain,(
2.42/0.64	  ((!! @ a @ (^[Y0 : a]: (~ ((sK17 @ Y0) & (sK3 @ Y0 @ sK23))))) = $false) | ~spl0_23),
2.42/0.64	  inference(boolean_simplification,[],[f2638])).
2.42/0.64	thf(f2638,plain,(
2.42/0.64	  ((!! @ a @ (^[Y0 : a]: (((sK17 @ Y0) & (sK3 @ Y0 @ sK23)) => $false))) = $false) | ~spl0_23),
2.42/0.64	  inference(backward_demodulation,[],[f2614,f2637])).
2.42/0.64	thf(f2755,plain,(
2.42/0.64	  ($true = ((sK17 @ sK25) => (sK17 @ sK23))) | (~spl0_1 | ~spl0_14 | ~spl0_23)),
2.42/0.64	  inference(boolean_simplification,[],[f2754])).
2.42/0.64	thf(f2754,plain,(
2.42/0.64	  ($true = (($true & (sK17 @ sK25)) => (sK17 @ sK23))) | (~spl0_1 | ~spl0_14 | ~spl0_23)),
2.42/0.64	  inference(boolean_simplification,[],[f2717])).
2.42/0.64	thf(f2717,plain,(
2.42/0.64	  ($true = ((((sK5 @ sK25 @ sK23) | $true) & (sK17 @ sK25)) => (sK17 @ sK23))) | (~spl0_1 | ~spl0_14 | ~spl0_23)),
2.42/0.64	  inference(superposition,[],[f2678,f2656])).
2.42/0.64	thf(f2656,plain,(
2.42/0.64	  ($true = (sK3 @ sK25 @ sK23)) | ~spl0_23),
2.42/0.64	  inference(boolean_simplification,[],[f2655])).
2.42/0.64	thf(f2655,plain,(
2.42/0.64	  ($true = ($true & (sK3 @ sK25 @ sK23))) | ~spl0_23),
2.42/0.64	  inference(backward_demodulation,[],[f2648,f2654])).
2.42/0.64	thf(f2678,plain,(
2.42/0.64	  ( ! [X2 : a,X1 : a] : (($true = ((((sK5 @ X1 @ X2) | (sK3 @ X1 @ X2)) & (sK17 @ X1)) => (sK17 @ X2)))) ) | (~spl0_1 | ~spl0_14)),
2.42/0.64	  inference(beta_eta_normalization,[],[f2677])).
2.42/0.64	thf(f2677,plain,(
2.42/0.64	  ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: ((((sK5 @ X1 @ Y0) | (sK3 @ X1 @ Y0)) & (sK17 @ X1)) => (sK17 @ Y0))) @ X2))) ) | (~spl0_1 | ~spl0_14)),
2.42/0.64	  inference(pi_clausification,[],[f2666])).
2.42/0.64	thf(f2666,plain,(
2.42/0.64	  ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((((sK5 @ X1 @ Y0) | (sK3 @ X1 @ Y0)) & (sK17 @ X1)) => (sK17 @ Y0)))))) ) | (~spl0_1 | ~spl0_14)),
2.42/0.64	  inference(beta_eta_normalization,[],[f2665])).
2.42/0.64	thf(f2665,plain,(
2.42/0.64	  ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) & (sK17 @ Y0)) => (sK17 @ Y1))))) @ X1))) ) | (~spl0_1 | ~spl0_14)),
2.42/0.64	  inference(pi_clausification,[],[f2552])).
2.42/0.64	thf(f2552,plain,(
2.42/0.64	  ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) & (sK17 @ Y0)) => (sK17 @ Y1)))))) = $true) | (~spl0_1 | ~spl0_14)),
2.42/0.64	  inference(binary_proxy_clausification,[],[f2498])).
2.42/0.64	thf(f2498,plain,(
2.42/0.64	  ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) & (sK17 @ Y0)) => (sK17 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK16 @ Y0) | (sK3 @ sK16 @ Y0)) => (sK17 @ Y0)))))) | (~spl0_1 | ~spl0_14)),
2.42/0.64	  inference(binary_proxy_clausification,[],[f2487])).
2.42/0.64	thf(f2487,plain,(
2.42/0.64	  ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) & (sK17 @ Y0)) => (sK17 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK16 @ Y0) | (sK3 @ sK16 @ Y0)) => (sK17 @ Y0))))) => (sK17 @ sK15)) = $false) | (~spl0_1 | ~spl0_14)),
2.42/0.64	  inference(beta_eta_normalization,[],[f2486])).
2.42/0.64	thf(f2486,plain,(
2.42/0.64	  (((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK16 @ Y1) | (sK3 @ sK16 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))) @ sK17) = $false) | (~spl0_1 | ~spl0_14)),
2.42/0.64	  inference(sigma_clausification,[],[f2476])).
2.42/0.64	thf(f2476,plain,(
2.42/0.64	  ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK16 @ Y1) | (sK3 @ sK16 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15)))) = $false) | (~spl0_1 | ~spl0_14)),
2.42/0.64	  inference(boolean_simplification,[],[f2475])).
2.42/0.64	thf(f2475,plain,(
2.42/0.64	  (($true => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK16 @ Y1) | (sK3 @ sK16 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))))) = $false) | (~spl0_1 | ~spl0_14)),
2.42/0.64	  inference(boolean_simplification,[],[f2474])).
2.42/0.64	thf(f2474,plain,(
2.42/0.64	  ((($true | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK16 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & (sK5 @ Y1 @ Y2)) => (Y0 @ Y2))))))) => (Y0 @ sK15))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK16 @ Y1) | (sK3 @ sK16 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))))) = $false) | (~spl0_1 | ~spl0_14)),
2.42/0.64	  inference(forward_demodulation,[],[f2473,f438])).
2.42/0.64	thf(f438,plain,(
2.42/0.64	  ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK16 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK3 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK15))))) | ~spl0_14),
2.42/0.64	  inference(avatar_component_clause,[],[f437])).
2.42/0.64	thf(f437,plain,(
2.42/0.64	  spl0_14 <=> ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK16 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK3 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK15)))))),
2.42/0.64	  introduced(avatar_definition,[new_symbols(naming,[spl0_14])])).
2.42/0.64	thf(f2473,plain,(
2.42/0.64	  ((((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK16 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK3 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK15)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK16 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & (sK5 @ Y1 @ Y2)) => (Y0 @ Y2))))))) => (Y0 @ sK15))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK16 @ Y1) | (sK3 @ sK16 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))))) = $false) | ~spl0_1),
2.42/0.64	  inference(beta_eta_normalization,[],[f2472])).
2.42/0.64	thf(f2472,plain,(
2.42/0.64	  (((^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK3 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ sK15)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK5 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & (sK5 @ Y2 @ Y3)) => (Y1 @ Y3))))))) => (Y1 @ sK15))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK5 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ Y0 @ Y2) | (sK3 @ Y0 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK15)))))) @ sK16) = $false) | ~spl0_1),
2.42/0.64	  inference(sigma_clausification,[],[f2468])).
2.42/0.64	thf(f2468,plain,(
2.42/0.64	  ((!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK3 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ sK15)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK5 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & (sK5 @ Y2 @ Y3)) => (Y1 @ Y3))))))) => (Y1 @ sK15))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK5 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ Y0 @ Y2) | (sK3 @ Y0 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK15))))))) = $false) | ~spl0_1),
2.42/0.64	  inference(beta_eta_normalization,[],[f2467])).
2.42/0.64	thf(f2467,plain,(
2.42/0.64	  (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK3 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & (sK5 @ Y3 @ Y4)) => (Y2 @ Y4))))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y1 @ Y3) | (sK3 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0)))))))) @ sK15) = $false) | ~spl0_1),
2.42/0.64	  inference(sigma_clausification,[],[f25])).
2.42/0.64	thf(f25,plain,(
2.42/0.64	  ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK3 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & (sK5 @ Y3 @ Y4)) => (Y2 @ Y4))))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y1 @ Y3) | (sK3 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0))))))))) = $false) | ~spl0_1),
2.42/0.64	  inference(avatar_component_clause,[],[f24])).
2.42/0.64	thf(f24,plain,(
2.42/0.64	  spl0_1 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK3 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & (sK5 @ Y3 @ Y4)) => (Y2 @ Y4))))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y1 @ Y3) | (sK3 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0))))))))) = $false)),
2.42/0.64	  introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
2.42/0.64	thf(f2464,plain,(
2.42/0.64	  ~spl0_4 | ~spl0_7 | ~spl0_10 | ~spl0_17),
2.42/0.64	  inference(avatar_contradiction_clause,[],[f2463])).
2.42/0.64	thf(f2463,plain,(
2.42/0.64	  $false | (~spl0_4 | ~spl0_7 | ~spl0_10 | ~spl0_17)),
2.42/0.64	  inference(trivial_inequality_removal,[],[f2462])).
2.42/0.64	thf(f2462,plain,(
2.42/0.64	  ($true = $false) | (~spl0_4 | ~spl0_7 | ~spl0_10 | ~spl0_17)),
2.42/0.64	  inference(boolean_simplification,[],[f2461])).
2.42/0.64	thf(f2461,plain,(
2.42/0.64	  ((~ $true) = $true) | (~spl0_4 | ~spl0_7 | ~spl0_10 | ~spl0_17)),
2.42/0.64	  inference(boolean_simplification,[],[f2460])).
2.42/0.64	thf(f2460,plain,(
2.42/0.64	  ($true = (~ ($true | (sK5 @ sK8 @ sK18)))) | (~spl0_4 | ~spl0_7 | ~spl0_10 | ~spl0_17)),
2.42/0.64	  inference(forward_demodulation,[],[f2442,f906])).
2.42/0.64	thf(f906,plain,(
2.42/0.64	  ($true = (sK3 @ sK8 @ sK18)) | ~spl0_17),
2.42/0.64	  inference(avatar_component_clause,[],[f905])).
2.42/0.64	thf(f905,plain,(
2.42/0.64	  spl0_17 <=> ($true = (sK3 @ sK8 @ sK18))),
2.42/0.64	  introduced(avatar_definition,[new_symbols(naming,[spl0_17])])).
2.42/0.64	thf(f2442,plain,(
2.42/0.64	  ($true = (~ ((sK3 @ sK8 @ sK18) | (sK5 @ sK8 @ sK18)))) | (~spl0_4 | ~spl0_7 | ~spl0_10)),
2.42/0.64	  inference(boolean_simplification,[],[f2439])).
2.42/0.64	thf(f2439,plain,(
2.42/0.64	  ($true = (((sK3 @ sK8 @ sK18) | (sK5 @ sK8 @ sK18)) => $false)) | (~spl0_4 | ~spl0_7 | ~spl0_10)),
2.42/0.64	  inference(superposition,[],[f1650,f2429])).
2.42/0.64	thf(f2429,plain,(
2.42/0.64	  ((sK11 @ sK18) = $false) | (~spl0_4 | ~spl0_7 | ~spl0_10)),
2.42/0.64	  inference(binary_proxy_clausification,[],[f2408])).
2.42/0.64	thf(f2408,plain,(
2.42/0.64	  ((((sK5 @ sK8 @ sK18) | (sK3 @ sK8 @ sK18)) => (sK11 @ sK18)) = $false) | (~spl0_4 | ~spl0_7 | ~spl0_10)),
2.42/0.64	  inference(beta_eta_normalization,[],[f2406])).
2.42/0.64	thf(f2406,plain,(
2.42/0.64	  (((^[Y0 : a]: (((sK5 @ sK8 @ Y0) | (sK3 @ sK8 @ Y0)) => (sK11 @ Y0))) @ sK18) = $false) | (~spl0_4 | ~spl0_7 | ~spl0_10)),
2.42/0.64	  inference(sigma_clausification,[],[f2385])).
2.42/0.64	thf(f2385,plain,(
2.42/0.64	  ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK8 @ Y0) | (sK3 @ sK8 @ Y0)) => (sK11 @ Y0)))) = $false) | (~spl0_4 | ~spl0_7 | ~spl0_10)),
2.42/0.64	  inference(not_proxy_clausification,[],[f2227])).
2.42/0.64	thf(f2227,plain,(
2.42/0.64	  ($true = (~ (!! @ a @ (^[Y0 : a]: (((sK5 @ sK8 @ Y0) | (sK3 @ sK8 @ Y0)) => (sK11 @ Y0)))))) | (~spl0_4 | ~spl0_7 | ~spl0_10)),
2.42/0.64	  inference(boolean_simplification,[],[f2225])).
2.42/0.64	thf(f2225,plain,(
2.42/0.64	  (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK8 @ Y0) | (sK3 @ sK8 @ Y0)) => (sK11 @ Y0)))) => $false) = $true) | (~spl0_4 | ~spl0_7 | ~spl0_10)),
2.42/0.64	  inference(backward_demodulation,[],[f1902,f2223])).
2.42/0.64	thf(f2223,plain,(
2.42/0.64	  ((sK11 @ sK9) = $false) | (~spl0_4 | ~spl0_7 | ~spl0_10)),
2.42/0.64	  inference(not_proxy_clausification,[],[f2217])).
2.42/0.64	thf(f2217,plain,(
2.42/0.64	  ($true = (~ (sK11 @ sK9))) | (~spl0_4 | ~spl0_7 | ~spl0_10)),
2.42/0.64	  inference(boolean_simplification,[],[f2216])).
2.42/0.64	thf(f2216,plain,(
2.42/0.64	  ($true = ((sK11 @ sK9) => $false)) | (~spl0_4 | ~spl0_7 | ~spl0_10)),
2.42/0.64	  inference(forward_demodulation,[],[f2215,f2200])).
2.42/0.64	thf(f2200,plain,(
2.42/0.64	  ((sK11 @ sK12) = $false) | (~spl0_7 | ~spl0_10)),
2.42/0.64	  inference(boolean_simplification,[],[f2199])).
2.42/0.64	thf(f2199,plain,(
2.42/0.64	  (($true => (sK11 @ sK12)) = $false) | (~spl0_7 | ~spl0_10)),
2.42/0.64	  inference(boolean_simplification,[],[f2198])).
2.42/0.64	thf(f2198,plain,(
2.42/0.64	  ((((sK5 @ sK9 @ sK12) | $true) => (sK11 @ sK12)) = $false) | (~spl0_7 | ~spl0_10)),
2.42/0.64	  inference(backward_demodulation,[],[f1757,f323])).
2.42/0.64	thf(f323,plain,(
2.42/0.64	  ($true = (sK3 @ sK9 @ sK12)) | ~spl0_10),
2.42/0.64	  inference(avatar_component_clause,[],[f322])).
2.42/0.64	thf(f322,plain,(
2.42/0.64	  spl0_10 <=> ($true = (sK3 @ sK9 @ sK12))),
2.42/0.64	  introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
2.42/0.64	thf(f1757,plain,(
2.42/0.64	  ((((sK5 @ sK9 @ sK12) | (sK3 @ sK9 @ sK12)) => (sK11 @ sK12)) = $false) | ~spl0_7),
2.42/0.64	  inference(beta_eta_normalization,[],[f1753])).
2.42/0.64	thf(f1753,plain,(
2.42/0.64	  (((^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK3 @ sK9 @ Y0)) => (sK11 @ Y0))) @ sK12) = $false) | ~spl0_7),
2.42/0.64	  inference(sigma_clausification,[],[f269])).
2.42/0.64	thf(f269,plain,(
2.42/0.64	  ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK3 @ sK9 @ Y0)) => (sK11 @ Y0)))) = $false) | ~spl0_7),
2.42/0.64	  inference(avatar_component_clause,[],[f268])).
2.42/0.64	thf(f268,plain,(
2.42/0.64	  spl0_7 <=> ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK3 @ sK9 @ Y0)) => (sK11 @ Y0)))) = $false)),
2.42/0.64	  introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
2.42/0.64	thf(f2215,plain,(
2.42/0.64	  ($true = ((sK11 @ sK9) => (sK11 @ sK12))) | (~spl0_4 | ~spl0_10)),
2.42/0.64	  inference(boolean_simplification,[],[f2214])).
2.42/0.64	thf(f2214,plain,(
2.42/0.64	  ($true = (($true & (sK11 @ sK9)) => (sK11 @ sK12))) | (~spl0_4 | ~spl0_10)),
2.42/0.64	  inference(boolean_simplification,[],[f2210])).
2.42/0.64	thf(f2210,plain,(
2.42/0.64	  ($true = ((($true | (sK5 @ sK9 @ sK12)) & (sK11 @ sK9)) => (sK11 @ sK12))) | (~spl0_4 | ~spl0_10)),
2.42/0.64	  inference(superposition,[],[f1777,f323])).
2.42/0.64	thf(f1777,plain,(
2.42/0.64	  ( ! [X2 : a,X1 : a] : (($true = ((((sK3 @ X1 @ X2) | (sK5 @ X1 @ X2)) & (sK11 @ X1)) => (sK11 @ X2)))) ) | ~spl0_4),
2.42/0.64	  inference(beta_eta_normalization,[],[f1776])).
2.42/0.64	thf(f1776,plain,(
2.42/0.64	  ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: ((((sK3 @ X1 @ Y0) | (sK5 @ X1 @ Y0)) & (sK11 @ X1)) => (sK11 @ Y0))) @ X2))) ) | ~spl0_4),
2.42/0.64	  inference(pi_clausification,[],[f1764])).
2.42/0.64	thf(f1764,plain,(
2.42/0.64	  ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((((sK3 @ X1 @ Y0) | (sK5 @ X1 @ Y0)) & (sK11 @ X1)) => (sK11 @ Y0)))))) ) | ~spl0_4),
2.42/0.64	  inference(beta_eta_normalization,[],[f1763])).
2.42/0.64	thf(f1763,plain,(
2.42/0.64	  ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK11 @ Y0)) => (sK11 @ Y1))))) @ X1))) ) | ~spl0_4),
2.42/0.64	  inference(pi_clausification,[],[f1635])).
2.42/0.64	thf(f1635,plain,(
2.42/0.64	  ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK11 @ Y0)) => (sK11 @ Y1))))))) | ~spl0_4),
2.42/0.64	  inference(binary_proxy_clausification,[],[f1629])).
2.42/0.64	thf(f1629,plain,(
2.42/0.64	  ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK11 @ Y0)) => (sK11 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK3 @ sK8 @ Y0) | (sK5 @ sK8 @ Y0)) => (sK11 @ Y0)))))) | ~spl0_4),
2.42/0.64	  inference(binary_proxy_clausification,[],[f1616])).
2.42/0.64	thf(f1616,plain,(
2.42/0.64	  ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK11 @ Y0)) => (sK11 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK3 @ sK8 @ Y0) | (sK5 @ sK8 @ Y0)) => (sK11 @ Y0))))) => (sK11 @ sK10)) = $false) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f1615])).
2.42/0.65	thf(f1615,plain,(
2.42/0.65	  (((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK3 @ sK8 @ Y1) | (sK5 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10))) @ sK11) = $false) | ~spl0_4),
2.42/0.65	  inference(sigma_clausification,[],[f1605])).
2.42/0.65	thf(f1605,plain,(
2.42/0.65	  ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK3 @ sK8 @ Y1) | (sK5 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10)))) = $false) | ~spl0_4),
2.42/0.65	  inference(boolean_simplification,[],[f1604])).
2.42/0.65	thf(f1604,plain,(
2.42/0.65	  (($true => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK3 @ sK8 @ Y1) | (sK5 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10))))) = $false) | ~spl0_4),
2.42/0.65	  inference(backward_demodulation,[],[f1588,f1603])).
2.42/0.65	thf(f1603,plain,(
2.42/0.65	  ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK9 @ Y1) | (sK3 @ sK9 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2))))))) => (Y0 @ sK10)))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK8 @ Y1) | (sK3 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK9)))))) | ~spl0_4),
2.42/0.65	  inference(binary_proxy_clausification,[],[f1588])).
2.42/0.65	thf(f1588,plain,(
2.42/0.65	  ((((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK9 @ Y1) | (sK3 @ sK9 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2))))))) => (Y0 @ sK10)))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK8 @ Y1) | (sK3 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK9))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK3 @ sK8 @ Y1) | (sK5 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10))))) = $false) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f1587])).
2.42/0.65	thf(f1587,plain,(
2.42/0.65	  (((^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((sK5 @ sK9 @ Y2) | (sK3 @ sK9 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & ((sK3 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3))) => (Y1 @ Y3))))))) => (Y1 @ Y0)))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK3 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ sK8 @ Y2) | (sK3 @ sK8 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK9))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK3 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK3 @ sK8 @ Y2) | (sK5 @ sK8 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0)))))) @ sK10) = $false) | ~spl0_4),
2.42/0.65	  inference(sigma_clausification,[],[f1573])).
2.42/0.65	thf(f1573,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((sK5 @ sK9 @ Y2) | (sK3 @ sK9 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & ((sK3 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3))) => (Y1 @ Y3))))))) => (Y1 @ Y0)))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK3 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ sK8 @ Y2) | (sK3 @ sK8 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK9))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK3 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK3 @ sK8 @ Y2) | (sK5 @ sK8 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0))))))) = $false) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f1572])).
2.42/0.65	thf(f1572,plain,(
2.42/0.65	  (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((sK5 @ Y0 @ Y3) | (sK3 @ Y0 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & ((sK3 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4))) => (Y2 @ Y4))))))) => (Y2 @ Y1)))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK3 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ sK8 @ Y3) | (sK3 @ sK8 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK3 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK3 @ sK8 @ Y3) | (sK5 @ sK8 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1)))))))) @ sK9) = $false) | ~spl0_4),
2.42/0.65	  inference(sigma_clausification,[],[f1561])).
2.42/0.65	thf(f1561,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((sK5 @ Y0 @ Y3) | (sK3 @ Y0 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & ((sK3 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4))) => (Y2 @ Y4))))))) => (Y2 @ Y1)))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK3 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ sK8 @ Y3) | (sK3 @ sK8 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK3 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK3 @ sK8 @ Y3) | (sK5 @ sK8 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1))))))))) = $false) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f1560])).
2.42/0.65	thf(f1560,plain,(
2.42/0.65	  (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK3 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5))))))) => (Y3 @ Y2)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK3 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK3 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2)))))))))) @ sK8) = $false) | ~spl0_4),
2.42/0.65	  inference(sigma_clausification,[],[f40])).
2.42/0.65	thf(f40,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK3 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5))))))) => (Y3 @ Y2)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK3 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK3 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2))))))))))) = $false) | ~spl0_4),
2.42/0.65	  inference(avatar_component_clause,[],[f39])).
2.42/0.65	thf(f39,plain,(
2.42/0.65	  spl0_4 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK3 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5))))))) => (Y3 @ Y2)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK3 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK3 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2))))))))))) = $false)),
2.42/0.65	  introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
2.42/0.65	thf(f1902,plain,(
2.42/0.65	  ($true = ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK8 @ Y0) | (sK3 @ sK8 @ Y0)) => (sK11 @ Y0)))) => (sK11 @ sK9))) | ~spl0_4),
2.42/0.65	  inference(boolean_simplification,[],[f1897])).
2.42/0.65	thf(f1897,plain,(
2.42/0.65	  ($true = (($true & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK8 @ Y0) | (sK3 @ sK8 @ Y0)) => (sK11 @ Y0))))) => (sK11 @ sK9))) | ~spl0_4),
2.42/0.65	  inference(superposition,[],[f1883,f1635])).
2.42/0.65	thf(f1883,plain,(
2.42/0.65	  ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (X1 @ Y0)) => (X1 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK8 @ Y0) | (sK3 @ sK8 @ Y0)) => (X1 @ Y0))))) => (X1 @ sK9)))) ) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f1882])).
2.42/0.65	thf(f1882,plain,(
2.42/0.65	  ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK8 @ Y1) | (sK3 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK9))) @ X1))) ) | ~spl0_4),
2.42/0.65	  inference(pi_clausification,[],[f1662])).
2.42/0.65	thf(f1662,plain,(
2.42/0.65	  ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK8 @ Y1) | (sK3 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK9))))) | ~spl0_4),
2.42/0.65	  inference(binary_proxy_clausification,[],[f1603])).
2.42/0.65	thf(f1650,plain,(
2.42/0.65	  ( ! [X1 : a] : (($true = (((sK3 @ sK8 @ X1) | (sK5 @ sK8 @ X1)) => (sK11 @ X1)))) ) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f1649])).
2.42/0.65	thf(f1649,plain,(
2.42/0.65	  ( ! [X1 : a] : (($true = ((^[Y0 : a]: (((sK3 @ sK8 @ Y0) | (sK5 @ sK8 @ Y0)) => (sK11 @ Y0))) @ X1))) ) | ~spl0_4),
2.42/0.65	  inference(pi_clausification,[],[f1637])).
2.42/0.65	thf(f1637,plain,(
2.42/0.65	  ($true = (!! @ a @ (^[Y0 : a]: (((sK3 @ sK8 @ Y0) | (sK5 @ sK8 @ Y0)) => (sK11 @ Y0))))) | ~spl0_4),
2.42/0.65	  inference(boolean_simplification,[],[f1636])).
2.42/0.65	thf(f1636,plain,(
2.42/0.65	  ($true = ($true & (!! @ a @ (^[Y0 : a]: (((sK3 @ sK8 @ Y0) | (sK5 @ sK8 @ Y0)) => (sK11 @ Y0)))))) | ~spl0_4),
2.42/0.65	  inference(backward_demodulation,[],[f1629,f1635])).
2.42/0.65	thf(f2456,plain,(
2.42/0.65	  ~spl0_4 | ~spl0_7 | ~spl0_10 | ~spl0_18),
2.42/0.65	  inference(avatar_contradiction_clause,[],[f2455])).
2.42/0.65	thf(f2455,plain,(
2.42/0.65	  $false | (~spl0_4 | ~spl0_7 | ~spl0_10 | ~spl0_18)),
2.42/0.65	  inference(trivial_inequality_removal,[],[f2454])).
2.42/0.65	thf(f2454,plain,(
2.42/0.65	  ($true = $false) | (~spl0_4 | ~spl0_7 | ~spl0_10 | ~spl0_18)),
2.42/0.65	  inference(boolean_simplification,[],[f2453])).
2.42/0.65	thf(f2453,plain,(
2.42/0.65	  ((~ $true) = $true) | (~spl0_4 | ~spl0_7 | ~spl0_10 | ~spl0_18)),
2.42/0.65	  inference(boolean_simplification,[],[f2451])).
2.42/0.65	thf(f2451,plain,(
2.42/0.65	  ($true = (~ ((sK3 @ sK8 @ sK18) | $true))) | (~spl0_4 | ~spl0_7 | ~spl0_10 | ~spl0_18)),
2.42/0.65	  inference(backward_demodulation,[],[f2442,f909])).
2.42/0.65	thf(f909,plain,(
2.42/0.65	  ($true = (sK5 @ sK8 @ sK18)) | ~spl0_18),
2.42/0.65	  inference(avatar_component_clause,[],[f908])).
2.42/0.65	thf(f908,plain,(
2.42/0.65	  spl0_18 <=> ($true = (sK5 @ sK8 @ sK18))),
2.42/0.65	  introduced(avatar_definition,[new_symbols(naming,[spl0_18])])).
2.42/0.65	thf(f2450,plain,(
2.42/0.65	  spl0_17 | spl0_18 | ~spl0_4 | ~spl0_7 | ~spl0_10),
2.42/0.65	  inference(avatar_split_clause,[],[f2449,f322,f268,f39,f908,f905])).
2.42/0.65	thf(f2449,plain,(
2.42/0.65	  ($true = (sK5 @ sK8 @ sK18)) | ($true = (sK3 @ sK8 @ sK18)) | (~spl0_4 | ~spl0_7 | ~spl0_10)),
2.42/0.65	  inference(binary_proxy_clausification,[],[f2430])).
2.42/0.65	thf(f2430,plain,(
2.42/0.65	  ($true = ((sK5 @ sK8 @ sK18) | (sK3 @ sK8 @ sK18))) | (~spl0_4 | ~spl0_7 | ~spl0_10)),
2.42/0.65	  inference(binary_proxy_clausification,[],[f2408])).
2.42/0.65	thf(f2197,plain,(
2.42/0.65	  ~spl0_4 | ~spl0_7 | ~spl0_9 | ~spl0_18),
2.42/0.65	  inference(avatar_contradiction_clause,[],[f2196])).
2.42/0.65	thf(f2196,plain,(
2.42/0.65	  $false | (~spl0_4 | ~spl0_7 | ~spl0_9 | ~spl0_18)),
2.42/0.65	  inference(trivial_inequality_removal,[],[f2195])).
2.42/0.65	thf(f2195,plain,(
2.42/0.65	  ($true = $false) | (~spl0_4 | ~spl0_7 | ~spl0_9 | ~spl0_18)),
2.42/0.65	  inference(boolean_simplification,[],[f2194])).
2.42/0.65	thf(f2194,plain,(
2.42/0.65	  ((~ $true) = $true) | (~spl0_4 | ~spl0_7 | ~spl0_9 | ~spl0_18)),
2.42/0.65	  inference(boolean_simplification,[],[f2193])).
2.42/0.65	thf(f2193,plain,(
2.42/0.65	  ($true = (~ ((sK3 @ sK8 @ sK18) | $true))) | (~spl0_4 | ~spl0_7 | ~spl0_9 | ~spl0_18)),
2.42/0.65	  inference(forward_demodulation,[],[f2191,f909])).
2.42/0.65	thf(f2191,plain,(
2.42/0.65	  ($true = (~ ((sK3 @ sK8 @ sK18) | (sK5 @ sK8 @ sK18)))) | (~spl0_4 | ~spl0_7 | ~spl0_9 | ~spl0_18)),
2.42/0.65	  inference(boolean_simplification,[],[f2186])).
2.42/0.65	thf(f2186,plain,(
2.42/0.65	  ($true = (((sK3 @ sK8 @ sK18) | (sK5 @ sK8 @ sK18)) => $false)) | (~spl0_4 | ~spl0_7 | ~spl0_9 | ~spl0_18)),
2.42/0.65	  inference(superposition,[],[f1650,f2181])).
2.42/0.65	thf(f2181,plain,(
2.42/0.65	  ((sK11 @ sK18) = $false) | (~spl0_4 | ~spl0_7 | ~spl0_9 | ~spl0_18)),
2.42/0.65	  inference(boolean_simplification,[],[f2180])).
2.42/0.65	thf(f2180,plain,(
2.42/0.65	  (($true => (sK11 @ sK18)) = $false) | (~spl0_4 | ~spl0_7 | ~spl0_9 | ~spl0_18)),
2.42/0.65	  inference(boolean_simplification,[],[f2179])).
2.42/0.65	thf(f2179,plain,(
2.42/0.65	  ((($true | (sK3 @ sK8 @ sK18)) => (sK11 @ sK18)) = $false) | (~spl0_4 | ~spl0_7 | ~spl0_9 | ~spl0_18)),
2.42/0.65	  inference(backward_demodulation,[],[f2172,f909])).
2.42/0.65	thf(f2172,plain,(
2.42/0.65	  ((((sK5 @ sK8 @ sK18) | (sK3 @ sK8 @ sK18)) => (sK11 @ sK18)) = $false) | (~spl0_4 | ~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(beta_eta_normalization,[],[f2168])).
2.42/0.65	thf(f2168,plain,(
2.42/0.65	  (((^[Y0 : a]: (((sK5 @ sK8 @ Y0) | (sK3 @ sK8 @ Y0)) => (sK11 @ Y0))) @ sK18) = $false) | (~spl0_4 | ~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(sigma_clausification,[],[f2151])).
2.42/0.65	thf(f2151,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK8 @ Y0) | (sK3 @ sK8 @ Y0)) => (sK11 @ Y0)))) = $false) | (~spl0_4 | ~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(not_proxy_clausification,[],[f1905])).
2.42/0.65	thf(f1905,plain,(
2.42/0.65	  ($true = (~ (!! @ a @ (^[Y0 : a]: (((sK5 @ sK8 @ Y0) | (sK3 @ sK8 @ Y0)) => (sK11 @ Y0)))))) | (~spl0_4 | ~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(boolean_simplification,[],[f1904])).
2.42/0.65	thf(f1904,plain,(
2.42/0.65	  (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK8 @ Y0) | (sK3 @ sK8 @ Y0)) => (sK11 @ Y0)))) => $false) = $true) | (~spl0_4 | ~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(forward_demodulation,[],[f1902,f1879])).
2.42/0.65	thf(f1879,plain,(
2.42/0.65	  ((sK11 @ sK9) = $false) | (~spl0_4 | ~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(not_proxy_clausification,[],[f1854])).
2.42/0.65	thf(f1854,plain,(
2.42/0.65	  ($true = (~ (sK11 @ sK9))) | (~spl0_4 | ~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(boolean_simplification,[],[f1853])).
2.42/0.65	thf(f1853,plain,(
2.42/0.65	  ($true = ((sK11 @ sK9) => $false)) | (~spl0_4 | ~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(forward_demodulation,[],[f1831,f1760])).
2.42/0.65	thf(f1760,plain,(
2.42/0.65	  ((sK11 @ sK12) = $false) | (~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(boolean_simplification,[],[f1759])).
2.42/0.65	thf(f1759,plain,(
2.42/0.65	  (($true => (sK11 @ sK12)) = $false) | (~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(boolean_simplification,[],[f1758])).
2.42/0.65	thf(f1758,plain,(
2.42/0.65	  ((($true | (sK3 @ sK9 @ sK12)) => (sK11 @ sK12)) = $false) | (~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(forward_demodulation,[],[f1757,f320])).
2.42/0.65	thf(f320,plain,(
2.42/0.65	  ($true = (sK5 @ sK9 @ sK12)) | ~spl0_9),
2.42/0.65	  inference(avatar_component_clause,[],[f319])).
2.42/0.65	thf(f319,plain,(
2.42/0.65	  spl0_9 <=> ($true = (sK5 @ sK9 @ sK12))),
2.42/0.65	  introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
2.42/0.65	thf(f1831,plain,(
2.42/0.65	  ($true = ((sK11 @ sK9) => (sK11 @ sK12))) | (~spl0_4 | ~spl0_9)),
2.42/0.65	  inference(boolean_simplification,[],[f1830])).
2.42/0.65	thf(f1830,plain,(
2.42/0.65	  ($true = (($true & (sK11 @ sK9)) => (sK11 @ sK12))) | (~spl0_4 | ~spl0_9)),
2.42/0.65	  inference(boolean_simplification,[],[f1801])).
2.42/0.65	thf(f1801,plain,(
2.42/0.65	  ($true = ((((sK3 @ sK9 @ sK12) | $true) & (sK11 @ sK9)) => (sK11 @ sK12))) | (~spl0_4 | ~spl0_9)),
2.42/0.65	  inference(superposition,[],[f1777,f320])).
2.42/0.65	thf(f2178,plain,(
2.42/0.65	  ~spl0_4 | ~spl0_7 | ~spl0_9 | ~spl0_17),
2.42/0.65	  inference(avatar_contradiction_clause,[],[f2177])).
2.42/0.65	thf(f2177,plain,(
2.42/0.65	  $false | (~spl0_4 | ~spl0_7 | ~spl0_9 | ~spl0_17)),
2.42/0.65	  inference(trivial_inequality_removal,[],[f2176])).
2.42/0.65	thf(f2176,plain,(
2.42/0.65	  ($true = $false) | (~spl0_4 | ~spl0_7 | ~spl0_9 | ~spl0_17)),
2.42/0.65	  inference(backward_demodulation,[],[f1658,f2175])).
2.42/0.65	thf(f2175,plain,(
2.42/0.65	  ((sK11 @ sK18) = $false) | (~spl0_4 | ~spl0_7 | ~spl0_9 | ~spl0_17)),
2.42/0.65	  inference(boolean_simplification,[],[f2174])).
2.42/0.65	thf(f2174,plain,(
2.42/0.65	  (($true => (sK11 @ sK18)) = $false) | (~spl0_4 | ~spl0_7 | ~spl0_9 | ~spl0_17)),
2.42/0.65	  inference(boolean_simplification,[],[f2173])).
2.42/0.65	thf(f2173,plain,(
2.42/0.65	  ((((sK5 @ sK8 @ sK18) | $true) => (sK11 @ sK18)) = $false) | (~spl0_4 | ~spl0_7 | ~spl0_9 | ~spl0_17)),
2.42/0.65	  inference(forward_demodulation,[],[f2172,f906])).
2.42/0.65	thf(f1658,plain,(
2.42/0.65	  ($true = (sK11 @ sK18)) | (~spl0_4 | ~spl0_17)),
2.42/0.65	  inference(boolean_simplification,[],[f1657])).
2.42/0.65	thf(f1657,plain,(
2.42/0.65	  ($true = ($true => (sK11 @ sK18))) | (~spl0_4 | ~spl0_17)),
2.42/0.65	  inference(boolean_simplification,[],[f1656])).
2.42/0.65	thf(f1656,plain,(
2.42/0.65	  ($true = (($true | (sK5 @ sK8 @ sK18)) => (sK11 @ sK18))) | (~spl0_4 | ~spl0_17)),
2.42/0.65	  inference(superposition,[],[f1650,f906])).
2.42/0.65	thf(f1551,plain,(
2.42/0.65	  ~spl0_1 | ~spl0_13 | ~spl0_26),
2.42/0.65	  inference(avatar_contradiction_clause,[],[f1550])).
2.42/0.65	thf(f1550,plain,(
2.42/0.65	  $false | (~spl0_1 | ~spl0_13 | ~spl0_26)),
2.42/0.65	  inference(trivial_inequality_removal,[],[f1549])).
2.42/0.65	thf(f1549,plain,(
2.42/0.65	  ($true = $false) | (~spl0_1 | ~spl0_13 | ~spl0_26)),
2.42/0.65	  inference(forward_demodulation,[],[f1548,f1510])).
2.42/0.65	thf(f1510,plain,(
2.42/0.65	  ((sK17 @ sK22) = $false) | ~spl0_26),
2.42/0.65	  inference(boolean_simplification,[],[f1509])).
2.42/0.65	thf(f1509,plain,(
2.42/0.65	  (($true => (sK17 @ sK22)) = $false) | ~spl0_26),
2.42/0.65	  inference(backward_demodulation,[],[f1506,f1508])).
2.42/0.65	thf(f1508,plain,(
2.42/0.65	  (((sK17 @ sK21) & (sK5 @ sK21 @ sK22)) = $true) | ~spl0_26),
2.42/0.65	  inference(binary_proxy_clausification,[],[f1506])).
2.42/0.65	thf(f1506,plain,(
2.42/0.65	  ((((sK17 @ sK21) & (sK5 @ sK21 @ sK22)) => (sK17 @ sK22)) = $false) | ~spl0_26),
2.42/0.65	  inference(beta_eta_normalization,[],[f1505])).
2.42/0.65	thf(f1505,plain,(
2.42/0.65	  (((^[Y0 : a]: (((sK17 @ sK21) & (sK5 @ sK21 @ Y0)) => (sK17 @ Y0))) @ sK22) = $false) | ~spl0_26),
2.42/0.65	  inference(sigma_clausification,[],[f1488])).
2.42/0.65	thf(f1488,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (((sK17 @ sK21) & (sK5 @ sK21 @ Y0)) => (sK17 @ Y0)))) = $false) | ~spl0_26),
2.42/0.65	  inference(beta_eta_normalization,[],[f1486])).
2.42/0.65	thf(f1486,plain,(
2.42/0.65	  (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK17 @ Y0) & (sK5 @ Y0 @ Y1)) => (sK17 @ Y1))))) @ sK21) = $false) | ~spl0_26),
2.42/0.65	  inference(sigma_clausification,[],[f1432])).
2.42/0.65	thf(f1432,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK17 @ Y0) & (sK5 @ Y0 @ Y1)) => (sK17 @ Y1)))))) = $false) | ~spl0_26),
2.42/0.65	  inference(avatar_component_clause,[],[f1431])).
2.42/0.65	thf(f1431,plain,(
2.42/0.65	  spl0_26 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK17 @ Y0) & (sK5 @ Y0 @ Y1)) => (sK17 @ Y1)))))) = $false)),
2.42/0.65	  introduced(avatar_definition,[new_symbols(naming,[spl0_26])])).
2.42/0.65	thf(f1548,plain,(
2.42/0.65	  ((sK17 @ sK22) = $true) | (~spl0_1 | ~spl0_13 | ~spl0_26)),
2.42/0.65	  inference(boolean_simplification,[],[f1547])).
2.42/0.65	thf(f1547,plain,(
2.42/0.65	  ($true = ($true => (sK17 @ sK22))) | (~spl0_1 | ~spl0_13 | ~spl0_26)),
2.42/0.65	  inference(forward_demodulation,[],[f1544,f1538])).
2.42/0.65	thf(f1538,plain,(
2.42/0.65	  ($true = (sK17 @ sK21)) | ~spl0_26),
2.42/0.65	  inference(binary_proxy_clausification,[],[f1508])).
2.42/0.65	thf(f1544,plain,(
2.42/0.65	  ($true = ((sK17 @ sK21) => (sK17 @ sK22))) | (~spl0_1 | ~spl0_13 | ~spl0_26)),
2.42/0.65	  inference(boolean_simplification,[],[f1543])).
2.42/0.65	thf(f1543,plain,(
2.42/0.65	  ($true = (($true & (sK17 @ sK21)) => (sK17 @ sK22))) | (~spl0_1 | ~spl0_13 | ~spl0_26)),
2.42/0.65	  inference(boolean_simplification,[],[f1541])).
2.42/0.65	thf(f1541,plain,(
2.42/0.65	  ($true = ((($true | (sK3 @ sK21 @ sK22)) & (sK17 @ sK21)) => (sK17 @ sK22))) | (~spl0_1 | ~spl0_13 | ~spl0_26)),
2.42/0.65	  inference(superposition,[],[f1296,f1540])).
2.42/0.65	thf(f1540,plain,(
2.42/0.65	  ($true = (sK5 @ sK21 @ sK22)) | ~spl0_26),
2.42/0.65	  inference(boolean_simplification,[],[f1539])).
2.42/0.65	thf(f1539,plain,(
2.42/0.65	  ($true = ($true & (sK5 @ sK21 @ sK22))) | ~spl0_26),
2.42/0.65	  inference(backward_demodulation,[],[f1508,f1538])).
2.42/0.65	thf(f1296,plain,(
2.42/0.65	  ( ! [X2 : a,X1 : a] : (($true = ((((sK5 @ X1 @ X2) | (sK3 @ X1 @ X2)) & (sK17 @ X1)) => (sK17 @ X2)))) ) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(beta_eta_normalization,[],[f1295])).
2.42/0.65	thf(f1295,plain,(
2.42/0.65	  ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: ((((sK5 @ X1 @ Y0) | (sK3 @ X1 @ Y0)) & (sK17 @ X1)) => (sK17 @ Y0))) @ X2))) ) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(pi_clausification,[],[f1289])).
2.42/0.65	thf(f1289,plain,(
2.42/0.65	  ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((((sK5 @ X1 @ Y0) | (sK3 @ X1 @ Y0)) & (sK17 @ X1)) => (sK17 @ Y0)))))) ) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(beta_eta_normalization,[],[f1288])).
2.42/0.65	thf(f1288,plain,(
2.42/0.65	  ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) & (sK17 @ Y0)) => (sK17 @ Y1))))) @ X1))) ) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(pi_clausification,[],[f1285])).
2.42/0.65	thf(f1285,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) & (sK17 @ Y0)) => (sK17 @ Y1)))))) = $true) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(boolean_simplification,[],[f1284])).
2.42/0.65	thf(f1284,plain,(
2.42/0.65	  ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) & (sK17 @ Y0)) => (sK17 @ Y1)))))) & $true)) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(backward_demodulation,[],[f1275,f1282])).
2.42/0.65	thf(f1282,plain,(
2.42/0.65	  ($true = (!! @ a @ (^[Y0 : a]: (((sK5 @ sK16 @ Y0) | (sK3 @ sK16 @ Y0)) => (sK17 @ Y0))))) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(binary_proxy_clausification,[],[f1275])).
2.42/0.65	thf(f1275,plain,(
2.42/0.65	  ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) & (sK17 @ Y0)) => (sK17 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK16 @ Y0) | (sK3 @ sK16 @ Y0)) => (sK17 @ Y0)))))) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(binary_proxy_clausification,[],[f1268])).
2.42/0.65	thf(f1268,plain,(
2.42/0.65	  ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) & (sK17 @ Y0)) => (sK17 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK16 @ Y0) | (sK3 @ sK16 @ Y0)) => (sK17 @ Y0))))) => (sK17 @ sK15)) = $false) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(beta_eta_normalization,[],[f1267])).
2.42/0.65	thf(f1267,plain,(
2.42/0.65	  (((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK16 @ Y1) | (sK3 @ sK16 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))) @ sK17) = $false) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(sigma_clausification,[],[f1264])).
2.42/0.65	thf(f1264,plain,(
2.42/0.65	  ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK16 @ Y1) | (sK3 @ sK16 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15)))) = $false) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(boolean_simplification,[],[f1263])).
2.42/0.65	thf(f1263,plain,(
2.42/0.65	  (($true => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK16 @ Y1) | (sK3 @ sK16 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))))) = $false) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(boolean_simplification,[],[f1262])).
2.42/0.65	thf(f1262,plain,(
2.42/0.65	  ((((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK16 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK3 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK15)))) | $true) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK16 @ Y1) | (sK3 @ sK16 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))))) = $false) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(backward_demodulation,[],[f1033,f435])).
2.42/0.65	thf(f435,plain,(
2.42/0.65	  ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK16 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & (sK5 @ Y1 @ Y2)) => (Y0 @ Y2))))))) => (Y0 @ sK15))))) | ~spl0_13),
2.42/0.65	  inference(avatar_component_clause,[],[f434])).
2.42/0.65	thf(f434,plain,(
2.42/0.65	  spl0_13 <=> ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK16 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & (sK5 @ Y1 @ Y2)) => (Y0 @ Y2))))))) => (Y0 @ sK15)))))),
2.42/0.65	  introduced(avatar_definition,[new_symbols(naming,[spl0_13])])).
2.42/0.65	thf(f1033,plain,(
2.42/0.65	  ((((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK16 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK3 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK15)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK16 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & (sK5 @ Y1 @ Y2)) => (Y0 @ Y2))))))) => (Y0 @ sK15))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK16 @ Y1) | (sK3 @ sK16 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))))) = $false) | ~spl0_1),
2.42/0.65	  inference(beta_eta_normalization,[],[f1032])).
2.42/0.65	thf(f1032,plain,(
2.42/0.65	  (((^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK3 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ sK15)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK5 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & (sK5 @ Y2 @ Y3)) => (Y1 @ Y3))))))) => (Y1 @ sK15))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK5 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ Y0 @ Y2) | (sK3 @ Y0 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK15)))))) @ sK16) = $false) | ~spl0_1),
2.42/0.65	  inference(sigma_clausification,[],[f1029])).
2.42/0.65	thf(f1029,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK3 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ sK15)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK5 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & (sK5 @ Y2 @ Y3)) => (Y1 @ Y3))))))) => (Y1 @ sK15))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK5 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ Y0 @ Y2) | (sK3 @ Y0 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK15))))))) = $false) | ~spl0_1),
2.42/0.65	  inference(beta_eta_normalization,[],[f1028])).
2.42/0.65	thf(f1028,plain,(
2.42/0.65	  (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK3 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & (sK5 @ Y3 @ Y4)) => (Y2 @ Y4))))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y1 @ Y3) | (sK3 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0)))))))) @ sK15) = $false) | ~spl0_1),
2.42/0.65	  inference(sigma_clausification,[],[f25])).
2.42/0.65	thf(f1483,plain,(
2.42/0.65	  ~spl0_1 | ~spl0_13 | ~spl0_25),
2.42/0.65	  inference(avatar_contradiction_clause,[],[f1482])).
2.42/0.65	thf(f1482,plain,(
2.42/0.65	  $false | (~spl0_1 | ~spl0_13 | ~spl0_25)),
2.42/0.65	  inference(trivial_inequality_removal,[],[f1481])).
2.42/0.65	thf(f1481,plain,(
2.42/0.65	  ($true = $false) | (~spl0_1 | ~spl0_13 | ~spl0_25)),
2.42/0.65	  inference(boolean_simplification,[],[f1480])).
2.42/0.65	thf(f1480,plain,(
2.42/0.65	  ((~ $true) = $true) | (~spl0_1 | ~spl0_13 | ~spl0_25)),
2.42/0.65	  inference(boolean_simplification,[],[f1479])).
2.42/0.65	thf(f1479,plain,(
2.42/0.65	  ($true = (~ ($true | (sK3 @ sK16 @ sK20)))) | (~spl0_1 | ~spl0_13 | ~spl0_25)),
2.42/0.65	  inference(forward_demodulation,[],[f1474,f1465])).
2.42/0.65	thf(f1465,plain,(
2.42/0.65	  ($true = (sK5 @ sK16 @ sK20)) | ~spl0_25),
2.42/0.65	  inference(binary_proxy_clausification,[],[f1447])).
2.42/0.65	thf(f1447,plain,(
2.42/0.65	  (((sK5 @ sK16 @ sK20) => (sK17 @ sK20)) = $false) | ~spl0_25),
2.42/0.65	  inference(beta_eta_normalization,[],[f1445])).
2.42/0.65	thf(f1445,plain,(
2.42/0.65	  (((^[Y0 : a]: ((sK5 @ sK16 @ Y0) => (sK17 @ Y0))) @ sK20) = $false) | ~spl0_25),
2.42/0.65	  inference(sigma_clausification,[],[f1429])).
2.42/0.65	thf(f1429,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: ((sK5 @ sK16 @ Y0) => (sK17 @ Y0)))) = $false) | ~spl0_25),
2.42/0.65	  inference(avatar_component_clause,[],[f1428])).
2.42/0.65	thf(f1428,plain,(
2.42/0.65	  spl0_25 <=> ((!! @ a @ (^[Y0 : a]: ((sK5 @ sK16 @ Y0) => (sK17 @ Y0)))) = $false)),
2.42/0.65	  introduced(avatar_definition,[new_symbols(naming,[spl0_25])])).
2.42/0.65	thf(f1474,plain,(
2.42/0.65	  ((~ ((sK5 @ sK16 @ sK20) | (sK3 @ sK16 @ sK20))) = $true) | (~spl0_1 | ~spl0_13 | ~spl0_25)),
2.42/0.65	  inference(boolean_simplification,[],[f1473])).
2.42/0.65	thf(f1473,plain,(
2.42/0.65	  ($true = (((sK5 @ sK16 @ sK20) | (sK3 @ sK16 @ sK20)) => $false)) | (~spl0_1 | ~spl0_13 | ~spl0_25)),
2.42/0.65	  inference(superposition,[],[f1287,f1464])).
2.42/0.65	thf(f1464,plain,(
2.42/0.65	  ((sK17 @ sK20) = $false) | ~spl0_25),
2.42/0.65	  inference(binary_proxy_clausification,[],[f1447])).
2.42/0.65	thf(f1287,plain,(
2.42/0.65	  ( ! [X1 : a] : (($true = (((sK5 @ sK16 @ X1) | (sK3 @ sK16 @ X1)) => (sK17 @ X1)))) ) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(beta_eta_normalization,[],[f1286])).
2.42/0.65	thf(f1286,plain,(
2.42/0.65	  ( ! [X1 : a] : (($true = ((^[Y0 : a]: (((sK5 @ sK16 @ Y0) | (sK3 @ sK16 @ Y0)) => (sK17 @ Y0))) @ X1))) ) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(pi_clausification,[],[f1282])).
2.42/0.65	thf(f1433,plain,(
2.42/0.65	  spl0_25 | spl0_26 | ~spl0_1 | ~spl0_13),
2.42/0.65	  inference(avatar_split_clause,[],[f1424,f434,f24,f1431,f1428])).
2.42/0.65	thf(f1424,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: ((sK5 @ sK16 @ Y0) => (sK17 @ Y0)))) = $false) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK17 @ Y0) & (sK5 @ Y0 @ Y1)) => (sK17 @ Y1)))))) = $false) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(binary_proxy_clausification,[],[f1418])).
2.42/0.65	thf(f1418,plain,(
2.42/0.65	  (((!! @ a @ (^[Y0 : a]: ((sK5 @ sK16 @ Y0) => (sK17 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK17 @ Y0) & (sK5 @ Y0 @ Y1)) => (sK17 @ Y1))))))) = $false) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(not_proxy_clausification,[],[f1281])).
2.42/0.65	thf(f1281,plain,(
2.42/0.65	  ($true = (~ ((!! @ a @ (^[Y0 : a]: ((sK5 @ sK16 @ Y0) => (sK17 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK17 @ Y0) & (sK5 @ Y0 @ Y1)) => (sK17 @ Y1))))))))) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(boolean_simplification,[],[f1280])).
2.42/0.65	thf(f1280,plain,(
2.42/0.65	  ($true = (((!! @ a @ (^[Y0 : a]: ((sK5 @ sK16 @ Y0) => (sK17 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK17 @ Y0) & (sK5 @ Y0 @ Y1)) => (sK17 @ Y1))))))) => $false)) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(superposition,[],[f1266,f1274])).
2.42/0.65	thf(f1274,plain,(
2.42/0.65	  ((sK17 @ sK15) = $false) | (~spl0_1 | ~spl0_13)),
2.42/0.65	  inference(binary_proxy_clausification,[],[f1268])).
2.42/0.65	thf(f1266,plain,(
2.42/0.65	  ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: ((sK5 @ sK16 @ Y0) => (X1 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((X1 @ Y0) & (sK5 @ Y0 @ Y1)) => (X1 @ Y1))))))) => (X1 @ sK15)))) ) | ~spl0_13),
2.42/0.65	  inference(beta_eta_normalization,[],[f1265])).
2.42/0.65	thf(f1265,plain,(
2.42/0.65	  ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK16 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & (sK5 @ Y1 @ Y2)) => (Y0 @ Y2))))))) => (Y0 @ sK15))) @ X1))) ) | ~spl0_13),
2.42/0.65	  inference(pi_clausification,[],[f435])).
2.42/0.65	thf(f1261,plain,(
2.42/0.65	  ~spl0_1 | ~spl0_14 | ~spl0_24),
2.42/0.65	  inference(avatar_contradiction_clause,[],[f1260])).
2.42/0.65	thf(f1260,plain,(
2.42/0.65	  $false | (~spl0_1 | ~spl0_14 | ~spl0_24)),
2.42/0.65	  inference(trivial_inequality_removal,[],[f1259])).
2.42/0.65	thf(f1259,plain,(
2.42/0.65	  ($true = $false) | (~spl0_1 | ~spl0_14 | ~spl0_24)),
2.42/0.65	  inference(boolean_simplification,[],[f1258])).
2.42/0.65	thf(f1258,plain,(
2.42/0.65	  ((~ $true) = $true) | (~spl0_1 | ~spl0_14 | ~spl0_24)),
2.42/0.65	  inference(boolean_simplification,[],[f1257])).
2.42/0.65	thf(f1257,plain,(
2.42/0.65	  ($true = (~ ((sK5 @ sK16 @ sK19) | $true))) | (~spl0_1 | ~spl0_14 | ~spl0_24)),
2.42/0.65	  inference(forward_demodulation,[],[f1256,f1247])).
2.42/0.65	thf(f1247,plain,(
2.42/0.65	  ($true = (sK3 @ sK16 @ sK19)) | ~spl0_24),
2.42/0.65	  inference(binary_proxy_clausification,[],[f1245])).
2.42/0.65	thf(f1245,plain,(
2.42/0.65	  (((sK3 @ sK16 @ sK19) => (sK17 @ sK19)) = $false) | ~spl0_24),
2.42/0.65	  inference(beta_eta_normalization,[],[f1241])).
2.42/0.65	thf(f1241,plain,(
2.42/0.65	  (((^[Y0 : a]: ((sK3 @ sK16 @ Y0) => (sK17 @ Y0))) @ sK19) = $false) | ~spl0_24),
2.42/0.65	  inference(sigma_clausification,[],[f1230])).
2.42/0.65	thf(f1230,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: ((sK3 @ sK16 @ Y0) => (sK17 @ Y0)))) = $false) | ~spl0_24),
2.42/0.65	  inference(avatar_component_clause,[],[f1229])).
2.42/0.65	thf(f1229,plain,(
2.42/0.65	  spl0_24 <=> ((!! @ a @ (^[Y0 : a]: ((sK3 @ sK16 @ Y0) => (sK17 @ Y0)))) = $false)),
2.42/0.65	  introduced(avatar_definition,[new_symbols(naming,[spl0_24])])).
2.42/0.65	thf(f1256,plain,(
2.42/0.65	  ($true = (~ ((sK5 @ sK16 @ sK19) | (sK3 @ sK16 @ sK19)))) | (~spl0_1 | ~spl0_14 | ~spl0_24)),
2.42/0.65	  inference(boolean_simplification,[],[f1252])).
2.42/0.65	thf(f1252,plain,(
2.42/0.65	  ($true = (((sK5 @ sK16 @ sK19) | (sK3 @ sK16 @ sK19)) => $false)) | (~spl0_1 | ~spl0_14 | ~spl0_24)),
2.42/0.65	  inference(superposition,[],[f1081,f1249])).
2.42/0.65	thf(f1249,plain,(
2.42/0.65	  ((sK17 @ sK19) = $false) | ~spl0_24),
2.42/0.65	  inference(boolean_simplification,[],[f1248])).
2.42/0.65	thf(f1248,plain,(
2.42/0.65	  (($true => (sK17 @ sK19)) = $false) | ~spl0_24),
2.42/0.65	  inference(backward_demodulation,[],[f1245,f1247])).
2.42/0.65	thf(f1081,plain,(
2.42/0.65	  ( ! [X1 : a] : (($true = (((sK5 @ sK16 @ X1) | (sK3 @ sK16 @ X1)) => (sK17 @ X1)))) ) | (~spl0_1 | ~spl0_14)),
2.42/0.65	  inference(beta_eta_normalization,[],[f1080])).
2.42/0.65	thf(f1080,plain,(
2.42/0.65	  ( ! [X1 : a] : (($true = ((^[Y0 : a]: (((sK5 @ sK16 @ Y0) | (sK3 @ sK16 @ Y0)) => (sK17 @ Y0))) @ X1))) ) | (~spl0_1 | ~spl0_14)),
2.42/0.65	  inference(pi_clausification,[],[f1070])).
2.42/0.65	thf(f1070,plain,(
2.42/0.65	  ($true = (!! @ a @ (^[Y0 : a]: (((sK5 @ sK16 @ Y0) | (sK3 @ sK16 @ Y0)) => (sK17 @ Y0))))) | (~spl0_1 | ~spl0_14)),
2.42/0.65	  inference(boolean_simplification,[],[f1069])).
2.42/0.65	thf(f1069,plain,(
2.42/0.65	  ($true = ($true & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK16 @ Y0) | (sK3 @ sK16 @ Y0)) => (sK17 @ Y0)))))) | (~spl0_1 | ~spl0_14)),
2.42/0.65	  inference(backward_demodulation,[],[f1062,f1068])).
2.42/0.65	thf(f1068,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) & (sK17 @ Y0)) => (sK17 @ Y1)))))) = $true) | (~spl0_1 | ~spl0_14)),
2.42/0.65	  inference(binary_proxy_clausification,[],[f1062])).
2.42/0.65	thf(f1062,plain,(
2.42/0.65	  ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) & (sK17 @ Y0)) => (sK17 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK16 @ Y0) | (sK3 @ sK16 @ Y0)) => (sK17 @ Y0)))))) | (~spl0_1 | ~spl0_14)),
2.42/0.65	  inference(binary_proxy_clausification,[],[f1048])).
2.42/0.65	thf(f1048,plain,(
2.42/0.65	  ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) & (sK17 @ Y0)) => (sK17 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK16 @ Y0) | (sK3 @ sK16 @ Y0)) => (sK17 @ Y0))))) => (sK17 @ sK15)) = $false) | (~spl0_1 | ~spl0_14)),
2.42/0.65	  inference(beta_eta_normalization,[],[f1047])).
2.42/0.65	thf(f1047,plain,(
2.42/0.65	  (((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK16 @ Y1) | (sK3 @ sK16 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))) @ sK17) = $false) | (~spl0_1 | ~spl0_14)),
2.42/0.65	  inference(sigma_clausification,[],[f1036])).
2.42/0.65	thf(f1036,plain,(
2.42/0.65	  ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK16 @ Y1) | (sK3 @ sK16 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15)))) = $false) | (~spl0_1 | ~spl0_14)),
2.42/0.65	  inference(boolean_simplification,[],[f1035])).
2.42/0.65	thf(f1035,plain,(
2.42/0.65	  (($true => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK16 @ Y1) | (sK3 @ sK16 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))))) = $false) | (~spl0_1 | ~spl0_14)),
2.42/0.65	  inference(boolean_simplification,[],[f1034])).
2.42/0.65	thf(f1034,plain,(
2.42/0.65	  ((($true | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK16 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & (sK5 @ Y1 @ Y2)) => (Y0 @ Y2))))))) => (Y0 @ sK15))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK16 @ Y1) | (sK3 @ sK16 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))))) = $false) | (~spl0_1 | ~spl0_14)),
2.42/0.65	  inference(forward_demodulation,[],[f1033,f438])).
2.42/0.65	thf(f1231,plain,(
2.42/0.65	  spl0_23 | spl0_24 | ~spl0_1 | ~spl0_14),
2.42/0.65	  inference(avatar_split_clause,[],[f1222,f437,f24,f1229,f1226])).
2.42/0.65	thf(f1222,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK17 @ Y1) & (sK3 @ Y1 @ Y0)) => (sK17 @ Y0)))))) = $false) | ((!! @ a @ (^[Y0 : a]: ((sK3 @ sK16 @ Y0) => (sK17 @ Y0)))) = $false) | (~spl0_1 | ~spl0_14)),
2.42/0.65	  inference(binary_proxy_clausification,[],[f1209])).
2.42/0.65	thf(f1209,plain,(
2.42/0.65	  (((!! @ a @ (^[Y0 : a]: ((sK3 @ sK16 @ Y0) => (sK17 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK17 @ Y1) & (sK3 @ Y1 @ Y0)) => (sK17 @ Y0))))))) = $false) | (~spl0_1 | ~spl0_14)),
2.42/0.65	  inference(not_proxy_clausification,[],[f1066])).
2.42/0.65	thf(f1066,plain,(
2.42/0.65	  ($true = (~ ((!! @ a @ (^[Y0 : a]: ((sK3 @ sK16 @ Y0) => (sK17 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK17 @ Y1) & (sK3 @ Y1 @ Y0)) => (sK17 @ Y0))))))))) | (~spl0_1 | ~spl0_14)),
2.42/0.65	  inference(boolean_simplification,[],[f1065])).
2.42/0.65	thf(f1065,plain,(
2.42/0.65	  ($true = (((!! @ a @ (^[Y0 : a]: ((sK3 @ sK16 @ Y0) => (sK17 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK17 @ Y1) & (sK3 @ Y1 @ Y0)) => (sK17 @ Y0))))))) => $false)) | (~spl0_1 | ~spl0_14)),
2.42/0.65	  inference(superposition,[],[f1031,f1064])).
2.42/0.65	thf(f1064,plain,(
2.42/0.65	  ((sK17 @ sK15) = $false) | (~spl0_1 | ~spl0_14)),
2.42/0.65	  inference(boolean_simplification,[],[f1063])).
2.42/0.65	thf(f1063,plain,(
2.42/0.65	  (($true => (sK17 @ sK15)) = $false) | (~spl0_1 | ~spl0_14)),
2.42/0.65	  inference(backward_demodulation,[],[f1048,f1062])).
2.42/0.65	thf(f1031,plain,(
2.42/0.65	  ( ! [X1 : a > $o] : (((((!! @ a @ (^[Y0 : a]: ((sK3 @ sK16 @ Y0) => (X1 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((X1 @ Y1) & (sK3 @ Y1 @ Y0)) => (X1 @ Y0))))))) => (X1 @ sK15)) = $true)) ) | ~spl0_14),
2.42/0.65	  inference(beta_eta_normalization,[],[f1030])).
2.42/0.65	thf(f1030,plain,(
2.42/0.65	  ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK16 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK3 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK15))) @ X1))) ) | ~spl0_14),
2.42/0.65	  inference(pi_clausification,[],[f438])).
2.42/0.65	thf(f1025,plain,(
2.42/0.65	  ~spl0_3 | ~spl0_6),
2.42/0.65	  inference(avatar_contradiction_clause,[],[f1024])).
2.42/0.65	thf(f1024,plain,(
2.42/0.65	  $false | (~spl0_3 | ~spl0_6)),
2.42/0.65	  inference(trivial_inequality_removal,[],[f1023])).
2.42/0.65	thf(f1023,plain,(
2.42/0.65	  ($true = $false) | (~spl0_3 | ~spl0_6)),
2.42/0.65	  inference(boolean_simplification,[],[f1022])).
2.42/0.65	thf(f1022,plain,(
2.42/0.65	  ((~ $true) = $true) | (~spl0_3 | ~spl0_6)),
2.42/0.65	  inference(boolean_simplification,[],[f1021])).
2.42/0.65	thf(f1021,plain,(
2.42/0.65	  ($true = (~ ((sK3 @ sK4 @ sK7) | $true))) | (~spl0_3 | ~spl0_6)),
2.42/0.65	  inference(forward_demodulation,[],[f1017,f104])).
2.42/0.65	thf(f104,plain,(
2.42/0.65	  ($true = (sK5 @ sK4 @ sK7)) | ~spl0_6),
2.42/0.65	  inference(avatar_component_clause,[],[f103])).
2.42/0.65	thf(f103,plain,(
2.42/0.65	  spl0_6 <=> ($true = (sK5 @ sK4 @ sK7))),
2.42/0.65	  introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
2.42/0.65	thf(f1017,plain,(
2.42/0.65	  ($true = (~ ((sK3 @ sK4 @ sK7) | (sK5 @ sK4 @ sK7)))) | (~spl0_3 | ~spl0_6)),
2.42/0.65	  inference(boolean_simplification,[],[f1014])).
2.42/0.65	thf(f1014,plain,(
2.42/0.65	  ($true = (((sK3 @ sK4 @ sK7) | (sK5 @ sK4 @ sK7)) => $false)) | (~spl0_3 | ~spl0_6)),
2.42/0.65	  inference(superposition,[],[f63,f1009])).
2.42/0.65	thf(f1009,plain,(
2.42/0.65	  ((sK6 @ sK7) = $false) | (~spl0_3 | ~spl0_6)),
2.42/0.65	  inference(boolean_simplification,[],[f1008])).
2.42/0.65	thf(f1008,plain,(
2.42/0.65	  (($true => (sK6 @ sK7)) = $false) | (~spl0_3 | ~spl0_6)),
2.42/0.65	  inference(boolean_simplification,[],[f1007])).
2.42/0.65	thf(f1007,plain,(
2.42/0.65	  ((($true | (sK3 @ sK4 @ sK7)) => (sK6 @ sK7)) = $false) | (~spl0_3 | ~spl0_6)),
2.42/0.65	  inference(forward_demodulation,[],[f1000,f104])).
2.42/0.65	thf(f1000,plain,(
2.42/0.65	  ((((sK5 @ sK4 @ sK7) | (sK3 @ sK4 @ sK7)) => (sK6 @ sK7)) = $false) | ~spl0_3),
2.42/0.65	  inference(beta_eta_normalization,[],[f996])).
2.42/0.65	thf(f996,plain,(
2.42/0.65	  (((^[Y0 : a]: (((sK5 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0))) @ sK7) = $false) | ~spl0_3),
2.42/0.65	  inference(sigma_clausification,[],[f982])).
2.42/0.65	thf(f982,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0)))) = $false) | ~spl0_3),
2.42/0.65	  inference(not_proxy_clausification,[],[f970])).
2.42/0.65	thf(f970,plain,(
2.42/0.65	  ($true = (~ (!! @ a @ (^[Y0 : a]: (((sK5 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0)))))) | ~spl0_3),
2.42/0.65	  inference(boolean_simplification,[],[f969])).
2.42/0.65	thf(f969,plain,(
2.42/0.65	  (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0)))) => $false) = $true) | ~spl0_3),
2.42/0.65	  inference(forward_demodulation,[],[f968,f47])).
2.42/0.65	thf(f47,plain,(
2.42/0.65	  ((sK6 @ sK2) = $false)),
2.42/0.65	  inference(boolean_simplification,[],[f46])).
2.42/0.65	thf(f46,plain,(
2.42/0.65	  (($true => (sK6 @ sK2)) = $false)),
2.42/0.65	  inference(backward_demodulation,[],[f33,f45])).
2.42/0.65	thf(f45,plain,(
2.42/0.65	  (((!! @ a @ (^[Y0 : a]: (((sK3 @ sK4 @ Y0) | (sK5 @ sK4 @ Y0)) => (sK6 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1))))))) = $true)),
2.42/0.65	  inference(binary_proxy_clausification,[],[f33])).
2.42/0.65	thf(f33,plain,(
2.42/0.65	  ((((!! @ a @ (^[Y0 : a]: (((sK3 @ sK4 @ Y0) | (sK5 @ sK4 @ Y0)) => (sK6 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1))))))) => (sK6 @ sK2)) = $false)),
2.42/0.65	  inference(beta_eta_normalization,[],[f32])).
2.42/0.65	thf(f32,plain,(
2.42/0.65	  (((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK3 @ sK4 @ Y1) | (sK5 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2))) @ sK6) = $false)),
2.42/0.65	  inference(sigma_clausification,[],[f18])).
2.42/0.65	thf(f18,plain,(
2.42/0.65	  ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK3 @ sK4 @ Y1) | (sK5 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2)))) = $false)),
2.42/0.65	  inference(binary_proxy_clausification,[],[f17])).
2.42/0.65	thf(f17,plain,(
2.42/0.65	  (((((~ (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK3 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5))))))) => (Y3 @ Y2)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK3 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK3 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2)))))))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK3 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & (sK5 @ Y3 @ Y4)) => (Y2 @ Y4))))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y1 @ Y3) | (sK3 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0)))))))))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK3 @ sK4 @ Y1) | (sK5 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2))))) = $false)),
2.42/0.65	  inference(beta_eta_normalization,[],[f16])).
2.42/0.65	thf(f16,plain,(
2.42/0.65	  (((^[Y0 : a > a > $o]: ((((~ (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((Y0 @ sK4 @ Y2) | (sK3 @ sK4 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK3 @ Y2 @ Y3) | (Y0 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK2))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y0 @ Y2 @ Y5) | (sK3 @ Y2 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & ((sK3 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6))) => (Y4 @ Y6))))))) => (Y4 @ Y3)))) & (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((sK3 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y0 @ Y1 @ Y5) | (sK3 @ Y1 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y2))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((sK3 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((sK3 @ Y1 @ Y5) | (Y0 @ Y1 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y3)))))))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK3 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & (sK3 @ Y5 @ Y4)) => (Y3 @ Y4))))))) => (Y3 @ Y1)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((Y0 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & (Y0 @ Y4 @ Y5)) => (Y3 @ Y5))))))) => (Y3 @ Y1))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((Y0 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((Y0 @ Y2 @ Y4) | (sK3 @ Y2 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1)))))))))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((sK3 @ sK4 @ Y2) | (Y0 @ sK4 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK3 @ Y2 @ Y3) | (Y0 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK2)))))) @ sK5) = $false)),
2.42/0.65	  inference(sigma_clausification,[],[f15])).
2.42/0.65	thf(f15,plain,(
2.42/0.65	  ((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: ((((~ (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((Y0 @ sK4 @ Y2) | (sK3 @ sK4 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK3 @ Y2 @ Y3) | (Y0 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK2))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y0 @ Y2 @ Y5) | (sK3 @ Y2 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & ((sK3 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6))) => (Y4 @ Y6))))))) => (Y4 @ Y3)))) & (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((sK3 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y0 @ Y1 @ Y5) | (sK3 @ Y1 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y2))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((sK3 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((sK3 @ Y1 @ Y5) | (Y0 @ Y1 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y3)))))))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK3 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & (sK3 @ Y5 @ Y4)) => (Y3 @ Y4))))))) => (Y3 @ Y1)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((Y0 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & (Y0 @ Y4 @ Y5)) => (Y3 @ Y5))))))) => (Y3 @ Y1))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((Y0 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((Y0 @ Y2 @ Y4) | (sK3 @ Y2 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1)))))))))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((sK3 @ sK4 @ Y2) | (Y0 @ sK4 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK3 @ Y2 @ Y3) | (Y0 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK2))))))) = $false)),
2.42/0.65	  inference(beta_eta_normalization,[],[f14])).
2.42/0.65	thf(f14,plain,(
2.42/0.65	  (((^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: ((((~ (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((Y1 @ Y0 @ Y3) | (sK3 @ Y0 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK3 @ Y3 @ Y4) | (Y1 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ sK2))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (((Y1 @ Y3 @ Y6) | (sK3 @ Y3 @ Y6)) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y6) & ((sK3 @ Y6 @ Y7) | (Y1 @ Y6 @ Y7))) => (Y5 @ Y7))))))) => (Y5 @ Y4)))) & (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((((sK3 @ Y6 @ Y7) | (Y1 @ Y6 @ Y7)) & (Y5 @ Y6)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: (((Y1 @ Y2 @ Y6) | (sK3 @ Y2 @ Y6)) => (Y5 @ Y6))))) => (Y5 @ Y3))))) => (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((((sK3 @ Y6 @ Y7) | (Y1 @ Y6 @ Y7)) & (Y5 @ Y6)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: (((sK3 @ Y2 @ Y6) | (Y1 @ Y2 @ Y6)) => (Y5 @ Y6))))) => (Y5 @ Y4)))))))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((sK3 @ Y3 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y6) & (sK3 @ Y6 @ Y5)) => (Y4 @ Y5))))))) => (Y4 @ Y2)))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((Y1 @ Y3 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & (Y1 @ Y5 @ Y6)) => (Y4 @ Y6))))))) => (Y4 @ Y2))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y1 @ Y5 @ Y6) | (sK3 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y1 @ Y3 @ Y5) | (sK3 @ Y3 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y2)))))))))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((sK3 @ Y0 @ Y3) | (Y1 @ Y0 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK3 @ Y3 @ Y4) | (Y1 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ sK2)))))))) @ sK4) = $false)),
2.42/0.65	  inference(sigma_clausification,[],[f13])).
2.42/0.65	thf(f13,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: ((((~ (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((Y1 @ Y0 @ Y3) | (sK3 @ Y0 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK3 @ Y3 @ Y4) | (Y1 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ sK2))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (((Y1 @ Y3 @ Y6) | (sK3 @ Y3 @ Y6)) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y6) & ((sK3 @ Y6 @ Y7) | (Y1 @ Y6 @ Y7))) => (Y5 @ Y7))))))) => (Y5 @ Y4)))) & (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((((sK3 @ Y6 @ Y7) | (Y1 @ Y6 @ Y7)) & (Y5 @ Y6)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: (((Y1 @ Y2 @ Y6) | (sK3 @ Y2 @ Y6)) => (Y5 @ Y6))))) => (Y5 @ Y3))))) => (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((((sK3 @ Y6 @ Y7) | (Y1 @ Y6 @ Y7)) & (Y5 @ Y6)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: (((sK3 @ Y2 @ Y6) | (Y1 @ Y2 @ Y6)) => (Y5 @ Y6))))) => (Y5 @ Y4)))))))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((sK3 @ Y3 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y6) & (sK3 @ Y6 @ Y5)) => (Y4 @ Y5))))))) => (Y4 @ Y2)))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((Y1 @ Y3 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & (Y1 @ Y5 @ Y6)) => (Y4 @ Y6))))))) => (Y4 @ Y2))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y1 @ Y5 @ Y6) | (sK3 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y1 @ Y3 @ Y5) | (sK3 @ Y3 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y2)))))))))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((sK3 @ Y0 @ Y3) | (Y1 @ Y0 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK3 @ Y3 @ Y4) | (Y1 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ sK2))))))))) = $false)),
2.42/0.65	  inference(beta_eta_normalization,[],[f12])).
2.42/0.65	thf(f12,plain,(
2.42/0.65	  (((^[Y0 : a > a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: ((((~ (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((Y2 @ Y1 @ Y4) | (Y0 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((Y0 @ Y4 @ Y5) | (Y2 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ sK2))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (((Y2 @ Y4 @ Y7) | (Y0 @ Y4 @ Y7)) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y7) & ((Y0 @ Y7 @ Y8) | (Y2 @ Y7 @ Y8))) => (Y6 @ Y8))))))) => (Y6 @ Y5)))) & (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((Y0 @ Y7 @ Y8) | (Y2 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y2 @ Y3 @ Y7) | (Y0 @ Y3 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y4))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((Y0 @ Y7 @ Y8) | (Y2 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y0 @ Y3 @ Y7) | (Y2 @ Y3 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y5)))))))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((Y0 @ Y4 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y7) & (Y0 @ Y7 @ Y6)) => (Y5 @ Y6))))))) => (Y5 @ Y3)))) | (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((Y2 @ Y4 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y6) & (Y2 @ Y6 @ Y7)) => (Y5 @ Y7))))))) => (Y5 @ Y3))))) => (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((((Y2 @ Y6 @ Y7) | (Y0 @ Y6 @ Y7)) & (Y5 @ Y6)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: (((Y2 @ Y4 @ Y6) | (Y0 @ Y4 @ Y6)) => (Y5 @ Y6))))) => (Y5 @ Y3)))))))))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((Y0 @ Y1 @ Y4) | (Y2 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((Y0 @ Y4 @ Y5) | (Y2 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ sK2)))))))))) @ sK3) = $false)),
2.42/0.65	  inference(sigma_clausification,[],[f11])).
2.42/0.65	thf(f11,plain,(
2.42/0.65	  ((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: ((((~ (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((Y2 @ Y1 @ Y4) | (Y0 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((Y0 @ Y4 @ Y5) | (Y2 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ sK2))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (((Y2 @ Y4 @ Y7) | (Y0 @ Y4 @ Y7)) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y7) & ((Y0 @ Y7 @ Y8) | (Y2 @ Y7 @ Y8))) => (Y6 @ Y8))))))) => (Y6 @ Y5)))) & (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((Y0 @ Y7 @ Y8) | (Y2 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y2 @ Y3 @ Y7) | (Y0 @ Y3 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y4))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((Y0 @ Y7 @ Y8) | (Y2 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y0 @ Y3 @ Y7) | (Y2 @ Y3 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y5)))))))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((Y0 @ Y4 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y7) & (Y0 @ Y7 @ Y6)) => (Y5 @ Y6))))))) => (Y5 @ Y3)))) | (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((Y2 @ Y4 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y6) & (Y2 @ Y6 @ Y7)) => (Y5 @ Y7))))))) => (Y5 @ Y3))))) => (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((((Y2 @ Y6 @ Y7) | (Y0 @ Y6 @ Y7)) & (Y5 @ Y6)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: (((Y2 @ Y4 @ Y6) | (Y0 @ Y4 @ Y6)) => (Y5 @ Y6))))) => (Y5 @ Y3)))))))))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((Y0 @ Y1 @ Y4) | (Y2 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((Y0 @ Y4 @ Y5) | (Y2 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ sK2))))))))))) = $false)),
2.42/0.65	  inference(beta_eta_normalization,[],[f10])).
2.42/0.65	thf(f10,plain,(
2.42/0.65	  (((^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (!! @ a @ (^[Y2 : a]: (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: ((((~ (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y3 @ Y2 @ Y5) | (Y1 @ Y2 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y1 @ Y5 @ Y6) | (Y3 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y0))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (((Y3 @ Y5 @ Y8) | (Y1 @ Y5 @ Y8)) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y7 @ Y8) & ((Y1 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9))) => (Y7 @ Y9))))))) => (Y7 @ Y6)))) & (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y1 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9)) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y3 @ Y4 @ Y8) | (Y1 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y5))))) => (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y1 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9)) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y1 @ Y4 @ Y8) | (Y3 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y6)))))))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y1 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y8) & (Y1 @ Y8 @ Y7)) => (Y6 @ Y7))))))) => (Y6 @ Y4)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y3 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y7) & (Y3 @ Y7 @ Y8)) => (Y6 @ Y8))))))) => (Y6 @ Y4))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((Y3 @ Y7 @ Y8) | (Y1 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y3 @ Y5 @ Y7) | (Y1 @ Y5 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y4)))))))))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y1 @ Y2 @ Y5) | (Y3 @ Y2 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y1 @ Y5 @ Y6) | (Y3 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y0)))))))))))) @ sK2) = $false)),
2.42/0.65	  inference(sigma_clausification,[],[f7])).
2.42/0.65	thf(f7,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (!! @ a @ (^[Y2 : a]: (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: ((((~ (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y3 @ Y2 @ Y5) | (Y1 @ Y2 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y1 @ Y5 @ Y6) | (Y3 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y0))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (((Y3 @ Y5 @ Y8) | (Y1 @ Y5 @ Y8)) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y7 @ Y8) & ((Y1 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9))) => (Y7 @ Y9))))))) => (Y7 @ Y6)))) & (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y1 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9)) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y3 @ Y4 @ Y8) | (Y1 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y5))))) => (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y1 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9)) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y1 @ Y4 @ Y8) | (Y3 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y6)))))))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y1 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y8) & (Y1 @ Y8 @ Y7)) => (Y6 @ Y7))))))) => (Y6 @ Y4)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y3 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y7) & (Y3 @ Y7 @ Y8)) => (Y6 @ Y8))))))) => (Y6 @ Y4))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((Y3 @ Y7 @ Y8) | (Y1 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y3 @ Y5 @ Y7) | (Y1 @ Y5 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y4)))))))))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y1 @ Y2 @ Y5) | (Y3 @ Y2 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y1 @ Y5 @ Y6) | (Y3 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y0))))))))))))) = $false)),
2.42/0.65	  inference(not_proxy_clausification,[],[f6])).
2.42/0.65	thf(f6,plain,(
2.42/0.65	  ($true = (~ (!! @ a @ (^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (!! @ a @ (^[Y2 : a]: (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: ((((~ (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y3 @ Y2 @ Y5) | (Y1 @ Y2 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y1 @ Y5 @ Y6) | (Y3 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y0))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (((Y3 @ Y5 @ Y8) | (Y1 @ Y5 @ Y8)) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y7 @ Y8) & ((Y1 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9))) => (Y7 @ Y9))))))) => (Y7 @ Y6)))) & (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y1 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9)) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y3 @ Y4 @ Y8) | (Y1 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y5))))) => (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y1 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9)) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y1 @ Y4 @ Y8) | (Y3 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y6)))))))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y1 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y8) & (Y1 @ Y8 @ Y7)) => (Y6 @ Y7))))))) => (Y6 @ Y4)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y3 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y7) & (Y3 @ Y7 @ Y8)) => (Y6 @ Y8))))))) => (Y6 @ Y4))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((Y3 @ Y7 @ Y8) | (Y1 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y3 @ Y5 @ Y7) | (Y1 @ Y5 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y4)))))))))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y1 @ Y2 @ Y5) | (Y3 @ Y2 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y1 @ Y5 @ Y6) | (Y3 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y0)))))))))))))))),
2.42/0.65	  inference(cnf_transformation,[],[f5])).
2.42/0.65	thf(f5,plain,(
2.42/0.65	  ($true = (~ (!! @ a @ (^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (!! @ a @ (^[Y2 : a]: (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: ((((~ (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y3 @ Y2 @ Y5) | (Y1 @ Y2 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y1 @ Y5 @ Y6) | (Y3 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y0))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (((Y3 @ Y5 @ Y8) | (Y1 @ Y5 @ Y8)) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y7 @ Y8) & ((Y1 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9))) => (Y7 @ Y9))))))) => (Y7 @ Y6)))) & (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y1 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9)) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y3 @ Y4 @ Y8) | (Y1 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y5))))) => (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y1 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9)) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y1 @ Y4 @ Y8) | (Y3 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y6)))))))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y1 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y8) & (Y1 @ Y8 @ Y7)) => (Y6 @ Y7))))))) => (Y6 @ Y4)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y3 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y7) & (Y3 @ Y7 @ Y8)) => (Y6 @ Y8))))))) => (Y6 @ Y4))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((Y3 @ Y7 @ Y8) | (Y1 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y3 @ Y5 @ Y7) | (Y1 @ Y5 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y4)))))))))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y1 @ Y2 @ Y5) | (Y3 @ Y2 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y1 @ Y5 @ Y6) | (Y3 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y0)))))))))))))))),
2.42/0.65	  inference(fool_elimination,[],[f4])).
2.42/0.65	thf(f4,plain,(
2.42/0.65	  ~! [X0 : a > a > $o,X1 : a,X2 : a > a > $o,X3 : a] : (! [X4 : a > $o] : ((! [X5 : a,X6 : a] : (((X4 @ X6) & ((X0 @ X6 @ X5) | (X2 @ X6 @ X5))) => (X4 @ X5)) & ! [X7 : a] : (((X0 @ X1 @ X7) | (X2 @ X1 @ X7)) => (X4 @ X7))) => (X4 @ X3)) | (! [X8 : a,X9 : a] : ((! [X10 : a > $o] : ((! [X11 : a,X12 : a] : (((X0 @ X12 @ X11) & (X10 @ X12)) => (X10 @ X11)) & ! [X13 : a] : ((X0 @ X8 @ X13) => (X10 @ X13))) => (X10 @ X9)) | ! [X14 : a > $o] : ((! [X15 : a,X16 : a] : (((X2 @ X15 @ X16) & (X14 @ X15)) => (X14 @ X16)) & ! [X17 : a] : ((X2 @ X8 @ X17) => (X14 @ X17))) => (X14 @ X9))) => ! [X18 : a > $o] : ((! [X19 : a] : (((X2 @ X8 @ X19) | (X0 @ X8 @ X19)) => (X18 @ X19)) & ! [X20 : a,X21 : a] : (((X18 @ X21) & ((X2 @ X21 @ X20) | (X0 @ X21 @ X20))) => (X18 @ X20))) => (X18 @ X9))) & ! [X22 : a,X23 : a,X24 : a] : ((! [X25 : a > $o] : ((! [X26 : a] : (((X2 @ X24 @ X26) | (X0 @ X24 @ X26)) => (X25 @ X26)) & ! [X27 : a,X28 : a] : (((X25 @ X28) & ((X0 @ X28 @ X27) | (X2 @ X28 @ X27))) => (X25 @ X27))) => (X25 @ X23)) & ! [X29 : a > $o] : ((! [X30 : a,X31 : a] : ((((X0 @ X31 @ X30) | (X2 @ X31 @ X30)) & (X29 @ X31)) => (X29 @ X30)) & ! [X32 : a] : (((X2 @ X23 @ X32) | (X0 @ X23 @ X32)) => (X29 @ X32))) => (X29 @ X22))) => ! [X33 : a > $o] : ((! [X34 : a] : (((X0 @ X24 @ X34) | (X2 @ X24 @ X34)) => (X33 @ X34)) & ! [X35 : a,X36 : a] : (((X33 @ X36) & ((X0 @ X36 @ X35) | (X2 @ X36 @ X35))) => (X33 @ X35))) => (X33 @ X22))) & ~! [X37 : a > $o] : ((! [X38 : a,X39 : a] : (((X37 @ X39) & ((X0 @ X39 @ X38) | (X2 @ X39 @ X38))) => (X37 @ X38)) & ! [X40 : a] : (((X2 @ X1 @ X40) | (X0 @ X1 @ X40)) => (X37 @ X40))) => (X37 @ X3))))),
2.42/0.65	  inference(rectify,[],[f2])).
2.42/0.65	thf(f2,negated_conjecture,(
2.42/0.65	  ~! [X1 : a > a > $o,X2 : a,X0 : a > a > $o,X3 : a] : (! [X4 : a > $o] : ((! [X7 : a,X6 : a] : (((X4 @ X6) & ((X1 @ X6 @ X7) | (X0 @ X6 @ X7))) => (X4 @ X7)) & ! [X5 : a] : (((X1 @ X2 @ X5) | (X0 @ X2 @ X5)) => (X4 @ X5))) => (X4 @ X3)) | (! [X8 : a,X9 : a] : ((! [X4 : a > $o] : ((! [X7 : a,X6 : a] : (((X1 @ X6 @ X7) & (X4 @ X6)) => (X4 @ X7)) & ! [X5 : a] : ((X1 @ X8 @ X5) => (X4 @ X5))) => (X4 @ X9)) | ! [X4 : a > $o] : ((! [X6 : a,X7 : a] : (((X0 @ X6 @ X7) & (X4 @ X6)) => (X4 @ X7)) & ! [X5 : a] : ((X0 @ X8 @ X5) => (X4 @ X5))) => (X4 @ X9))) => ! [X4 : a > $o] : ((! [X5 : a] : (((X0 @ X8 @ X5) | (X1 @ X8 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : (((X4 @ X6) & ((X0 @ X6 @ X7) | (X1 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X9))) & ! [X10 : a,X9 : a,X8 : a] : ((! [X4 : a > $o] : ((! [X5 : a] : (((X0 @ X8 @ X5) | (X1 @ X8 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : (((X4 @ X6) & ((X1 @ X6 @ X7) | (X0 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X9)) & ! [X4 : a > $o] : ((! [X7 : a,X6 : a] : ((((X1 @ X6 @ X7) | (X0 @ X6 @ X7)) & (X4 @ X6)) => (X4 @ X7)) & ! [X5 : a] : (((X0 @ X9 @ X5) | (X1 @ X9 @ X5)) => (X4 @ X5))) => (X4 @ X10))) => ! [X4 : a > $o] : ((! [X5 : a] : (((X1 @ X8 @ X5) | (X0 @ X8 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : (((X4 @ X6) & ((X1 @ X6 @ X7) | (X0 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X10))) & ~! [X4 : a > $o] : ((! [X7 : a,X6 : a] : (((X4 @ X6) & ((X1 @ X6 @ X7) | (X0 @ X6 @ X7))) => (X4 @ X7)) & ! [X5 : a] : (((X0 @ X2 @ X5) | (X1 @ X2 @ X5)) => (X4 @ X5))) => (X4 @ X3))))),
2.42/0.65	  inference(negated_conjecture,[],[f1])).
2.42/0.65	thf(f1,conjecture,(
2.42/0.65	  ! [X1 : a > a > $o,X2 : a,X0 : a > a > $o,X3 : a] : (! [X4 : a > $o] : ((! [X7 : a,X6 : a] : (((X4 @ X6) & ((X1 @ X6 @ X7) | (X0 @ X6 @ X7))) => (X4 @ X7)) & ! [X5 : a] : (((X1 @ X2 @ X5) | (X0 @ X2 @ X5)) => (X4 @ X5))) => (X4 @ X3)) | (! [X8 : a,X9 : a] : ((! [X4 : a > $o] : ((! [X7 : a,X6 : a] : (((X1 @ X6 @ X7) & (X4 @ X6)) => (X4 @ X7)) & ! [X5 : a] : ((X1 @ X8 @ X5) => (X4 @ X5))) => (X4 @ X9)) | ! [X4 : a > $o] : ((! [X6 : a,X7 : a] : (((X0 @ X6 @ X7) & (X4 @ X6)) => (X4 @ X7)) & ! [X5 : a] : ((X0 @ X8 @ X5) => (X4 @ X5))) => (X4 @ X9))) => ! [X4 : a > $o] : ((! [X5 : a] : (((X0 @ X8 @ X5) | (X1 @ X8 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : (((X4 @ X6) & ((X0 @ X6 @ X7) | (X1 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X9))) & ! [X10 : a,X9 : a,X8 : a] : ((! [X4 : a > $o] : ((! [X5 : a] : (((X0 @ X8 @ X5) | (X1 @ X8 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : (((X4 @ X6) & ((X1 @ X6 @ X7) | (X0 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X9)) & ! [X4 : a > $o] : ((! [X7 : a,X6 : a] : ((((X1 @ X6 @ X7) | (X0 @ X6 @ X7)) & (X4 @ X6)) => (X4 @ X7)) & ! [X5 : a] : (((X0 @ X9 @ X5) | (X1 @ X9 @ X5)) => (X4 @ X5))) => (X4 @ X10))) => ! [X4 : a > $o] : ((! [X5 : a] : (((X1 @ X8 @ X5) | (X0 @ X8 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : (((X4 @ X6) & ((X1 @ X6 @ X7) | (X0 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X10))) & ~! [X4 : a > $o] : ((! [X7 : a,X6 : a] : (((X4 @ X6) & ((X1 @ X6 @ X7) | (X0 @ X6 @ X7))) => (X4 @ X7)) & ! [X5 : a] : (((X0 @ X2 @ X5) | (X1 @ X2 @ X5)) => (X4 @ X5))) => (X4 @ X3))))),
2.42/0.65	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM251H_pme)).
2.42/0.65	thf(f968,plain,(
2.42/0.65	  ($true = ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0)))) => (sK6 @ sK2))) | ~spl0_3),
2.42/0.65	  inference(boolean_simplification,[],[f961])).
2.42/0.65	thf(f961,plain,(
2.42/0.65	  ($true = (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0)))) & $true) => (sK6 @ sK2))) | ~spl0_3),
2.42/0.65	  inference(superposition,[],[f930,f53])).
2.42/0.65	thf(f53,plain,(
2.42/0.65	  ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1)))))))),
2.42/0.65	  inference(binary_proxy_clausification,[],[f45])).
2.42/0.65	thf(f930,plain,(
2.42/0.65	  ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (X1 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (X1 @ Y0)) => (X1 @ Y1))))))) => (X1 @ sK2)))) ) | ~spl0_3),
2.42/0.65	  inference(beta_eta_normalization,[],[f929])).
2.42/0.65	thf(f929,plain,(
2.42/0.65	  ( ! [X1 : a > $o] : ((((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2))) @ X1) = $true)) ) | ~spl0_3),
2.42/0.65	  inference(pi_clausification,[],[f915])).
2.42/0.65	thf(f915,plain,(
2.42/0.65	  ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2))))) | ~spl0_3),
2.42/0.65	  inference(not_proxy_clausification,[],[f37])).
2.42/0.65	thf(f37,plain,(
2.42/0.65	  ((~ (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2))))) = $false) | ~spl0_3),
2.42/0.65	  inference(avatar_component_clause,[],[f36])).
2.42/0.65	thf(f36,plain,(
2.42/0.65	  spl0_3 <=> ((~ (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2))))) = $false)),
2.42/0.65	  introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
2.42/0.65	thf(f63,plain,(
2.42/0.65	  ( ! [X1 : a] : (($true = (((sK3 @ sK4 @ X1) | (sK5 @ sK4 @ X1)) => (sK6 @ X1)))) )),
2.42/0.65	  inference(beta_eta_normalization,[],[f62])).
2.42/0.65	thf(f62,plain,(
2.42/0.65	  ( ! [X1 : a] : (($true = ((^[Y0 : a]: (((sK3 @ sK4 @ Y0) | (sK5 @ sK4 @ Y0)) => (sK6 @ Y0))) @ X1))) )),
2.42/0.65	  inference(pi_clausification,[],[f56])).
2.42/0.65	thf(f56,plain,(
2.42/0.65	  ($true = (!! @ a @ (^[Y0 : a]: (((sK3 @ sK4 @ Y0) | (sK5 @ sK4 @ Y0)) => (sK6 @ Y0)))))),
2.42/0.65	  inference(boolean_simplification,[],[f55])).
2.42/0.65	thf(f55,plain,(
2.42/0.65	  ($true = ((!! @ a @ (^[Y0 : a]: (((sK3 @ sK4 @ Y0) | (sK5 @ sK4 @ Y0)) => (sK6 @ Y0)))) & $true))),
2.42/0.65	  inference(backward_demodulation,[],[f45,f53])).
2.42/0.65	thf(f1006,plain,(
2.42/0.65	  ~spl0_3 | ~spl0_5),
2.42/0.65	  inference(avatar_contradiction_clause,[],[f1005])).
2.42/0.65	thf(f1005,plain,(
2.42/0.65	  $false | (~spl0_3 | ~spl0_5)),
2.42/0.65	  inference(trivial_inequality_removal,[],[f1004])).
2.42/0.65	thf(f1004,plain,(
2.42/0.65	  ($true = $false) | (~spl0_3 | ~spl0_5)),
2.42/0.65	  inference(backward_demodulation,[],[f926,f1003])).
2.42/0.65	thf(f1003,plain,(
2.42/0.65	  ((sK6 @ sK7) = $false) | (~spl0_3 | ~spl0_5)),
2.42/0.65	  inference(boolean_simplification,[],[f1002])).
2.42/0.65	thf(f1002,plain,(
2.42/0.65	  (($true => (sK6 @ sK7)) = $false) | (~spl0_3 | ~spl0_5)),
2.42/0.65	  inference(boolean_simplification,[],[f1001])).
2.42/0.65	thf(f1001,plain,(
2.42/0.65	  ((((sK5 @ sK4 @ sK7) | $true) => (sK6 @ sK7)) = $false) | (~spl0_3 | ~spl0_5)),
2.42/0.65	  inference(forward_demodulation,[],[f1000,f101])).
2.42/0.65	thf(f101,plain,(
2.42/0.65	  ($true = (sK3 @ sK4 @ sK7)) | ~spl0_5),
2.42/0.65	  inference(avatar_component_clause,[],[f100])).
2.42/0.65	thf(f100,plain,(
2.42/0.65	  spl0_5 <=> ($true = (sK3 @ sK4 @ sK7))),
2.42/0.65	  introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
2.42/0.65	thf(f926,plain,(
2.42/0.65	  ($true = (sK6 @ sK7)) | ~spl0_5),
2.42/0.65	  inference(trivial_inequality_removal,[],[f925])).
2.42/0.65	thf(f925,plain,(
2.42/0.65	  ($true = (sK6 @ sK7)) | ($true = $false) | ~spl0_5),
2.42/0.65	  inference(boolean_simplification,[],[f918])).
2.42/0.65	thf(f918,plain,(
2.42/0.65	  (($true | (sK5 @ sK4 @ sK7)) = $false) | ($true = (sK6 @ sK7)) | ~spl0_5),
2.42/0.65	  inference(superposition,[],[f64,f101])).
2.42/0.65	thf(f64,plain,(
2.42/0.65	  ( ! [X1 : a] : ((((sK3 @ sK4 @ X1) | (sK5 @ sK4 @ X1)) = $false) | ($true = (sK6 @ X1))) )),
2.42/0.65	  inference(binary_proxy_clausification,[],[f63])).
2.42/0.65	thf(f910,plain,(
2.42/0.65	  spl0_17 | spl0_18 | ~spl0_4 | ~spl0_7 | ~spl0_9),
2.42/0.65	  inference(avatar_split_clause,[],[f903,f319,f268,f39,f908,f905])).
2.42/0.65	thf(f903,plain,(
2.42/0.65	  ($true = (sK5 @ sK8 @ sK18)) | ($true = (sK3 @ sK8 @ sK18)) | (~spl0_4 | ~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(binary_proxy_clausification,[],[f889])).
2.42/0.65	thf(f889,plain,(
2.42/0.65	  ($true = ((sK5 @ sK8 @ sK18) | (sK3 @ sK8 @ sK18))) | (~spl0_4 | ~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(binary_proxy_clausification,[],[f887])).
2.42/0.65	thf(f887,plain,(
2.42/0.65	  ((((sK5 @ sK8 @ sK18) | (sK3 @ sK8 @ sK18)) => (sK11 @ sK18)) = $false) | (~spl0_4 | ~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(beta_eta_normalization,[],[f883])).
2.42/0.65	thf(f883,plain,(
2.42/0.65	  (((^[Y0 : a]: (((sK5 @ sK8 @ Y0) | (sK3 @ sK8 @ Y0)) => (sK11 @ Y0))) @ sK18) = $false) | (~spl0_4 | ~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(sigma_clausification,[],[f855])).
2.42/0.65	thf(f855,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK8 @ Y0) | (sK3 @ sK8 @ Y0)) => (sK11 @ Y0)))) = $false) | (~spl0_4 | ~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(not_proxy_clausification,[],[f644])).
2.42/0.65	thf(f644,plain,(
2.42/0.65	  ($true = (~ (!! @ a @ (^[Y0 : a]: (((sK5 @ sK8 @ Y0) | (sK3 @ sK8 @ Y0)) => (sK11 @ Y0)))))) | (~spl0_4 | ~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(boolean_simplification,[],[f643])).
2.42/0.65	thf(f643,plain,(
2.42/0.65	  (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK8 @ Y0) | (sK3 @ sK8 @ Y0)) => (sK11 @ Y0)))) => $false) = $true) | (~spl0_4 | ~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(backward_demodulation,[],[f577,f641])).
2.42/0.65	thf(f641,plain,(
2.42/0.65	  ((sK11 @ sK9) = $false) | (~spl0_4 | ~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(not_proxy_clausification,[],[f628])).
2.42/0.65	thf(f628,plain,(
2.42/0.65	  ($true = (~ (sK11 @ sK9))) | (~spl0_4 | ~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(boolean_simplification,[],[f627])).
2.42/0.65	thf(f627,plain,(
2.42/0.65	  ($true = ((sK11 @ sK9) => $false)) | (~spl0_4 | ~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(forward_demodulation,[],[f615,f571])).
2.42/0.65	thf(f571,plain,(
2.42/0.65	  ((sK11 @ sK12) = $false) | (~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(boolean_simplification,[],[f570])).
2.42/0.65	thf(f570,plain,(
2.42/0.65	  (($true => (sK11 @ sK12)) = $false) | (~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(boolean_simplification,[],[f569])).
2.42/0.65	thf(f569,plain,(
2.42/0.65	  ((($true | (sK3 @ sK9 @ sK12)) => (sK11 @ sK12)) = $false) | (~spl0_7 | ~spl0_9)),
2.42/0.65	  inference(forward_demodulation,[],[f568,f320])).
2.42/0.65	thf(f568,plain,(
2.42/0.65	  ((((sK5 @ sK9 @ sK12) | (sK3 @ sK9 @ sK12)) => (sK11 @ sK12)) = $false) | ~spl0_7),
2.42/0.65	  inference(beta_eta_normalization,[],[f567])).
2.42/0.65	thf(f567,plain,(
2.42/0.65	  (((^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK3 @ sK9 @ Y0)) => (sK11 @ Y0))) @ sK12) = $false) | ~spl0_7),
2.42/0.65	  inference(sigma_clausification,[],[f269])).
2.42/0.65	thf(f615,plain,(
2.42/0.65	  ($true = ((sK11 @ sK9) => (sK11 @ sK12))) | (~spl0_4 | ~spl0_9)),
2.42/0.65	  inference(boolean_simplification,[],[f614])).
2.42/0.65	thf(f614,plain,(
2.42/0.65	  ($true = (($true & (sK11 @ sK9)) => (sK11 @ sK12))) | (~spl0_4 | ~spl0_9)),
2.42/0.65	  inference(boolean_simplification,[],[f600])).
2.42/0.65	thf(f600,plain,(
2.42/0.65	  ($true = ((((sK3 @ sK9 @ sK12) | $true) & (sK11 @ sK9)) => (sK11 @ sK12))) | (~spl0_4 | ~spl0_9)),
2.42/0.65	  inference(superposition,[],[f588,f320])).
2.42/0.65	thf(f588,plain,(
2.42/0.65	  ( ! [X2 : a,X1 : a] : (($true = ((((sK3 @ X1 @ X2) | (sK5 @ X1 @ X2)) & (sK11 @ X1)) => (sK11 @ X2)))) ) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f587])).
2.42/0.65	thf(f587,plain,(
2.42/0.65	  ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: ((((sK3 @ X1 @ Y0) | (sK5 @ X1 @ Y0)) & (sK11 @ X1)) => (sK11 @ Y0))) @ X2))) ) | ~spl0_4),
2.42/0.65	  inference(pi_clausification,[],[f576])).
2.42/0.65	thf(f576,plain,(
2.42/0.65	  ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((((sK3 @ X1 @ Y0) | (sK5 @ X1 @ Y0)) & (sK11 @ X1)) => (sK11 @ Y0)))))) ) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f574])).
2.42/0.65	thf(f574,plain,(
2.42/0.65	  ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK11 @ Y0)) => (sK11 @ Y1))))) @ X1))) ) | ~spl0_4),
2.42/0.65	  inference(pi_clausification,[],[f512])).
2.42/0.65	thf(f512,plain,(
2.42/0.65	  ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK11 @ Y0)) => (sK11 @ Y1))))))) | ~spl0_4),
2.42/0.65	  inference(binary_proxy_clausification,[],[f506])).
2.42/0.65	thf(f506,plain,(
2.42/0.65	  ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK11 @ Y0)) => (sK11 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK3 @ sK8 @ Y0) | (sK5 @ sK8 @ Y0)) => (sK11 @ Y0)))))) | ~spl0_4),
2.42/0.65	  inference(binary_proxy_clausification,[],[f495])).
2.42/0.65	thf(f495,plain,(
2.42/0.65	  ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK11 @ Y0)) => (sK11 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK3 @ sK8 @ Y0) | (sK5 @ sK8 @ Y0)) => (sK11 @ Y0))))) => (sK11 @ sK10)) = $false) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f494])).
2.42/0.65	thf(f494,plain,(
2.42/0.65	  (((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK3 @ sK8 @ Y1) | (sK5 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10))) @ sK11) = $false) | ~spl0_4),
2.42/0.65	  inference(sigma_clausification,[],[f484])).
2.42/0.65	thf(f484,plain,(
2.42/0.65	  ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK3 @ sK8 @ Y1) | (sK5 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10)))) = $false) | ~spl0_4),
2.42/0.65	  inference(boolean_simplification,[],[f483])).
2.42/0.65	thf(f483,plain,(
2.42/0.65	  (($true => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK3 @ sK8 @ Y1) | (sK5 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10))))) = $false) | ~spl0_4),
2.42/0.65	  inference(backward_demodulation,[],[f471,f482])).
2.42/0.65	thf(f482,plain,(
2.42/0.65	  ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK9 @ Y1) | (sK3 @ sK9 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2))))))) => (Y0 @ sK10)))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK8 @ Y1) | (sK3 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK9)))))) | ~spl0_4),
2.42/0.65	  inference(binary_proxy_clausification,[],[f471])).
2.42/0.65	thf(f471,plain,(
2.42/0.65	  ((((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK9 @ Y1) | (sK3 @ sK9 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2))))))) => (Y0 @ sK10)))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK8 @ Y1) | (sK3 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK9))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK3 @ sK8 @ Y1) | (sK5 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10))))) = $false) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f470])).
2.42/0.65	thf(f470,plain,(
2.42/0.65	  (((^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((sK5 @ sK9 @ Y2) | (sK3 @ sK9 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & ((sK3 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3))) => (Y1 @ Y3))))))) => (Y1 @ Y0)))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK3 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ sK8 @ Y2) | (sK3 @ sK8 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK9))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK3 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK3 @ sK8 @ Y2) | (sK5 @ sK8 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0)))))) @ sK10) = $false) | ~spl0_4),
2.42/0.65	  inference(sigma_clausification,[],[f461])).
2.42/0.65	thf(f461,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((sK5 @ sK9 @ Y2) | (sK3 @ sK9 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & ((sK3 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3))) => (Y1 @ Y3))))))) => (Y1 @ Y0)))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK3 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ sK8 @ Y2) | (sK3 @ sK8 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK9))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK3 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK3 @ sK8 @ Y2) | (sK5 @ sK8 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0))))))) = $false) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f460])).
2.42/0.65	thf(f460,plain,(
2.42/0.65	  (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((sK5 @ Y0 @ Y3) | (sK3 @ Y0 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & ((sK3 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4))) => (Y2 @ Y4))))))) => (Y2 @ Y1)))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK3 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ sK8 @ Y3) | (sK3 @ sK8 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK3 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK3 @ sK8 @ Y3) | (sK5 @ sK8 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1)))))))) @ sK9) = $false) | ~spl0_4),
2.42/0.65	  inference(sigma_clausification,[],[f449])).
2.42/0.65	thf(f449,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((sK5 @ Y0 @ Y3) | (sK3 @ Y0 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & ((sK3 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4))) => (Y2 @ Y4))))))) => (Y2 @ Y1)))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK3 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ sK8 @ Y3) | (sK3 @ sK8 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK3 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK3 @ sK8 @ Y3) | (sK5 @ sK8 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1))))))))) = $false) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f448])).
2.42/0.65	thf(f448,plain,(
2.42/0.65	  (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK3 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5))))))) => (Y3 @ Y2)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK3 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK3 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2)))))))))) @ sK8) = $false) | ~spl0_4),
2.42/0.65	  inference(sigma_clausification,[],[f40])).
2.42/0.65	thf(f577,plain,(
2.42/0.65	  ($true = ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK8 @ Y0) | (sK3 @ sK8 @ Y0)) => (sK11 @ Y0)))) => (sK11 @ sK9))) | ~spl0_4),
2.42/0.65	  inference(boolean_simplification,[],[f575])).
2.42/0.65	thf(f575,plain,(
2.42/0.65	  ($true = (($true & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK8 @ Y0) | (sK3 @ sK8 @ Y0)) => (sK11 @ Y0))))) => (sK11 @ sK9))) | ~spl0_4),
2.42/0.65	  inference(superposition,[],[f545,f512])).
2.42/0.65	thf(f545,plain,(
2.42/0.65	  ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (X1 @ Y0)) => (X1 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK8 @ Y0) | (sK3 @ sK8 @ Y0)) => (X1 @ Y0))))) => (X1 @ sK9)))) ) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f544])).
2.42/0.65	thf(f544,plain,(
2.42/0.65	  ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK8 @ Y1) | (sK3 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK9))) @ X1))) ) | ~spl0_4),
2.42/0.65	  inference(pi_clausification,[],[f540])).
2.42/0.65	thf(f540,plain,(
2.42/0.65	  ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK8 @ Y1) | (sK3 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK9))))) | ~spl0_4),
2.42/0.65	  inference(boolean_simplification,[],[f539])).
2.42/0.65	thf(f539,plain,(
2.42/0.65	  ($true = ($true & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK8 @ Y1) | (sK3 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK9)))))) | ~spl0_4),
2.42/0.65	  inference(backward_demodulation,[],[f482,f538])).
2.42/0.65	thf(f538,plain,(
2.42/0.65	  ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK9 @ Y1) | (sK3 @ sK9 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2))))))) => (Y0 @ sK10))))) | ~spl0_4),
2.42/0.65	  inference(binary_proxy_clausification,[],[f482])).
2.42/0.65	thf(f439,plain,(
2.42/0.65	  spl0_13 | spl0_14 | ~spl0_1),
2.42/0.65	  inference(avatar_split_clause,[],[f432,f24,f437,f434])).
2.42/0.65	thf(f432,plain,(
2.42/0.65	  ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK16 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK3 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK15))))) | ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK16 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & (sK5 @ Y1 @ Y2)) => (Y0 @ Y2))))))) => (Y0 @ sK15))))) | ~spl0_1),
2.42/0.65	  inference(binary_proxy_clausification,[],[f419])).
2.42/0.65	thf(f419,plain,(
2.42/0.65	  ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK16 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK3 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK15)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK16 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & (sK5 @ Y1 @ Y2)) => (Y0 @ Y2))))))) => (Y0 @ sK15)))))) | ~spl0_1),
2.42/0.65	  inference(binary_proxy_clausification,[],[f417])).
2.42/0.65	thf(f417,plain,(
2.42/0.65	  ((((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK3 @ sK16 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK3 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK15)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK16 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & (sK5 @ Y1 @ Y2)) => (Y0 @ Y2))))))) => (Y0 @ sK15))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK16 @ Y1) | (sK3 @ sK16 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))))) = $false) | ~spl0_1),
2.42/0.65	  inference(beta_eta_normalization,[],[f416])).
2.42/0.65	thf(f416,plain,(
2.42/0.65	  (((^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK3 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ sK15)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK5 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & (sK5 @ Y2 @ Y3)) => (Y1 @ Y3))))))) => (Y1 @ sK15))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK5 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ Y0 @ Y2) | (sK3 @ Y0 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK15)))))) @ sK16) = $false) | ~spl0_1),
2.42/0.65	  inference(sigma_clausification,[],[f415])).
2.42/0.65	thf(f415,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK3 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK3 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ sK15)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK5 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & (sK5 @ Y2 @ Y3)) => (Y1 @ Y3))))))) => (Y1 @ sK15))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK5 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ Y0 @ Y2) | (sK3 @ Y0 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK15))))))) = $false) | ~spl0_1),
2.42/0.65	  inference(beta_eta_normalization,[],[f414])).
2.42/0.65	thf(f414,plain,(
2.42/0.65	  (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK3 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & (sK5 @ Y3 @ Y4)) => (Y2 @ Y4))))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y1 @ Y3) | (sK3 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0)))))))) @ sK15) = $false) | ~spl0_1),
2.42/0.65	  inference(sigma_clausification,[],[f25])).
2.42/0.65	thf(f404,plain,(
2.42/0.65	  ~spl0_4 | ~spl0_8),
2.42/0.65	  inference(avatar_contradiction_clause,[],[f403])).
2.42/0.65	thf(f403,plain,(
2.42/0.65	  $false | (~spl0_4 | ~spl0_8)),
2.42/0.65	  inference(trivial_inequality_removal,[],[f402])).
2.42/0.65	thf(f402,plain,(
2.42/0.65	  ($true = $false) | (~spl0_4 | ~spl0_8)),
2.42/0.65	  inference(forward_demodulation,[],[f401,f347])).
2.42/0.65	thf(f347,plain,(
2.42/0.65	  ($false = (sK11 @ sK14)) | ~spl0_8),
2.42/0.65	  inference(binary_proxy_clausification,[],[f346])).
2.42/0.65	thf(f346,plain,(
2.42/0.65	  ((((sK11 @ sK13) & ((sK3 @ sK13 @ sK14) | (sK5 @ sK13 @ sK14))) => (sK11 @ sK14)) = $false) | ~spl0_8),
2.42/0.65	  inference(beta_eta_normalization,[],[f345])).
2.42/0.65	thf(f345,plain,(
2.42/0.65	  (((^[Y0 : a]: (((sK11 @ sK13) & ((sK3 @ sK13 @ Y0) | (sK5 @ sK13 @ Y0))) => (sK11 @ Y0))) @ sK14) = $false) | ~spl0_8),
2.42/0.65	  inference(sigma_clausification,[],[f329])).
2.42/0.65	thf(f329,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (((sK11 @ sK13) & ((sK3 @ sK13 @ Y0) | (sK5 @ sK13 @ Y0))) => (sK11 @ Y0)))) = $false) | ~spl0_8),
2.42/0.65	  inference(beta_eta_normalization,[],[f327])).
2.42/0.65	thf(f327,plain,(
2.42/0.65	  (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK11 @ Y0) & ((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (sK11 @ Y1))))) @ sK13) = $false) | ~spl0_8),
2.42/0.65	  inference(sigma_clausification,[],[f272])).
2.42/0.65	thf(f272,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK11 @ Y0) & ((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (sK11 @ Y1)))))) = $false) | ~spl0_8),
2.42/0.65	  inference(avatar_component_clause,[],[f271])).
2.42/0.65	thf(f271,plain,(
2.42/0.65	  spl0_8 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK11 @ Y0) & ((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (sK11 @ Y1)))))) = $false)),
2.42/0.65	  introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
2.42/0.65	thf(f401,plain,(
2.42/0.65	  ($true = (sK11 @ sK14)) | (~spl0_4 | ~spl0_8)),
2.42/0.65	  inference(boolean_simplification,[],[f400])).
2.42/0.65	thf(f400,plain,(
2.42/0.65	  ($true = ($true => (sK11 @ sK14))) | (~spl0_4 | ~spl0_8)),
2.42/0.65	  inference(forward_demodulation,[],[f399,f384])).
2.42/0.65	thf(f384,plain,(
2.42/0.65	  ($true = (sK11 @ sK13)) | ~spl0_8),
2.42/0.65	  inference(binary_proxy_clausification,[],[f348])).
2.42/0.65	thf(f348,plain,(
2.42/0.65	  ($true = ((sK11 @ sK13) & ((sK3 @ sK13 @ sK14) | (sK5 @ sK13 @ sK14)))) | ~spl0_8),
2.42/0.65	  inference(binary_proxy_clausification,[],[f346])).
2.42/0.65	thf(f399,plain,(
2.42/0.65	  ($true = ((sK11 @ sK13) => (sK11 @ sK14))) | (~spl0_4 | ~spl0_8)),
2.42/0.65	  inference(boolean_simplification,[],[f397])).
2.42/0.65	thf(f397,plain,(
2.42/0.65	  ($true = (($true & (sK11 @ sK13)) => (sK11 @ sK14))) | (~spl0_4 | ~spl0_8)),
2.42/0.65	  inference(superposition,[],[f203,f386])).
2.42/0.65	thf(f386,plain,(
2.42/0.65	  ($true = ((sK3 @ sK13 @ sK14) | (sK5 @ sK13 @ sK14))) | ~spl0_8),
2.42/0.65	  inference(boolean_simplification,[],[f385])).
2.42/0.65	thf(f385,plain,(
2.42/0.65	  (($true & ((sK3 @ sK13 @ sK14) | (sK5 @ sK13 @ sK14))) = $true) | ~spl0_8),
2.42/0.65	  inference(backward_demodulation,[],[f348,f384])).
2.42/0.65	thf(f203,plain,(
2.42/0.65	  ( ! [X2 : a,X1 : a] : (($true = ((((sK3 @ X1 @ X2) | (sK5 @ X1 @ X2)) & (sK11 @ X1)) => (sK11 @ X2)))) ) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f202])).
2.42/0.65	thf(f202,plain,(
2.42/0.65	  ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: ((((sK3 @ X1 @ Y0) | (sK5 @ X1 @ Y0)) & (sK11 @ X1)) => (sK11 @ Y0))) @ X2))) ) | ~spl0_4),
2.42/0.65	  inference(pi_clausification,[],[f198])).
2.42/0.65	thf(f198,plain,(
2.42/0.65	  ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((((sK3 @ X1 @ Y0) | (sK5 @ X1 @ Y0)) & (sK11 @ X1)) => (sK11 @ Y0)))))) ) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f197])).
2.42/0.65	thf(f197,plain,(
2.42/0.65	  ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK11 @ Y0)) => (sK11 @ Y1))))) @ X1))) ) | ~spl0_4),
2.42/0.65	  inference(pi_clausification,[],[f186])).
2.42/0.65	thf(f186,plain,(
2.42/0.65	  ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK11 @ Y0)) => (sK11 @ Y1))))))) | ~spl0_4),
2.42/0.65	  inference(boolean_simplification,[],[f185])).
2.42/0.65	thf(f185,plain,(
2.42/0.65	  ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK11 @ Y0)) => (sK11 @ Y1)))))) & $true)) | ~spl0_4),
2.42/0.65	  inference(backward_demodulation,[],[f176,f183])).
2.42/0.65	thf(f183,plain,(
2.42/0.65	  ($true = (!! @ a @ (^[Y0 : a]: (((sK3 @ sK8 @ Y0) | (sK5 @ sK8 @ Y0)) => (sK11 @ Y0))))) | ~spl0_4),
2.42/0.65	  inference(binary_proxy_clausification,[],[f176])).
2.42/0.65	thf(f176,plain,(
2.42/0.65	  ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK11 @ Y0)) => (sK11 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK3 @ sK8 @ Y0) | (sK5 @ sK8 @ Y0)) => (sK11 @ Y0)))))) | ~spl0_4),
2.42/0.65	  inference(binary_proxy_clausification,[],[f161])).
2.42/0.65	thf(f161,plain,(
2.42/0.65	  ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK11 @ Y0)) => (sK11 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK3 @ sK8 @ Y0) | (sK5 @ sK8 @ Y0)) => (sK11 @ Y0))))) => (sK11 @ sK10)) = $false) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f160])).
2.42/0.65	thf(f160,plain,(
2.42/0.65	  (((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK3 @ sK8 @ Y1) | (sK5 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10))) @ sK11) = $false) | ~spl0_4),
2.42/0.65	  inference(sigma_clausification,[],[f138])).
2.42/0.65	thf(f138,plain,(
2.42/0.65	  ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK3 @ sK8 @ Y1) | (sK5 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10)))) = $false) | ~spl0_4),
2.42/0.65	  inference(binary_proxy_clausification,[],[f121])).
2.42/0.65	thf(f121,plain,(
2.42/0.65	  ((((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK9 @ Y1) | (sK3 @ sK9 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2))))))) => (Y0 @ sK10)))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK8 @ Y1) | (sK3 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK9))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK3 @ sK8 @ Y1) | (sK5 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10))))) = $false) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f120])).
2.42/0.65	thf(f120,plain,(
2.42/0.65	  (((^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((sK5 @ sK9 @ Y2) | (sK3 @ sK9 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & ((sK3 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3))) => (Y1 @ Y3))))))) => (Y1 @ Y0)))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK3 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ sK8 @ Y2) | (sK3 @ sK8 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK9))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK3 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK3 @ sK8 @ Y2) | (sK5 @ sK8 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0)))))) @ sK10) = $false) | ~spl0_4),
2.42/0.65	  inference(sigma_clausification,[],[f117])).
2.42/0.65	thf(f117,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((sK5 @ sK9 @ Y2) | (sK3 @ sK9 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & ((sK3 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3))) => (Y1 @ Y3))))))) => (Y1 @ Y0)))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK3 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ sK8 @ Y2) | (sK3 @ sK8 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK9))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK3 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK3 @ sK8 @ Y2) | (sK5 @ sK8 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0))))))) = $false) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f116])).
2.42/0.65	thf(f116,plain,(
2.42/0.65	  (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((sK5 @ Y0 @ Y3) | (sK3 @ Y0 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & ((sK3 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4))) => (Y2 @ Y4))))))) => (Y2 @ Y1)))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK3 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ sK8 @ Y3) | (sK3 @ sK8 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK3 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK3 @ sK8 @ Y3) | (sK5 @ sK8 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1)))))))) @ sK9) = $false) | ~spl0_4),
2.42/0.65	  inference(sigma_clausification,[],[f113])).
2.42/0.65	thf(f113,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((sK5 @ Y0 @ Y3) | (sK3 @ Y0 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & ((sK3 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4))) => (Y2 @ Y4))))))) => (Y2 @ Y1)))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK3 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ sK8 @ Y3) | (sK3 @ sK8 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK3 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK3 @ sK8 @ Y3) | (sK5 @ sK8 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1))))))))) = $false) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f112])).
2.42/0.65	thf(f112,plain,(
2.42/0.65	  (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK3 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5))))))) => (Y3 @ Y2)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK3 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK3 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2)))))))))) @ sK8) = $false) | ~spl0_4),
2.42/0.65	  inference(sigma_clausification,[],[f40])).
2.42/0.65	thf(f324,plain,(
2.42/0.65	  spl0_9 | spl0_10 | ~spl0_7),
2.42/0.65	  inference(avatar_split_clause,[],[f317,f268,f322,f319])).
2.42/0.65	thf(f317,plain,(
2.42/0.65	  ($true = (sK3 @ sK9 @ sK12)) | ($true = (sK5 @ sK9 @ sK12)) | ~spl0_7),
2.42/0.65	  inference(binary_proxy_clausification,[],[f298])).
2.42/0.65	thf(f298,plain,(
2.42/0.65	  (((sK5 @ sK9 @ sK12) | (sK3 @ sK9 @ sK12)) = $true) | ~spl0_7),
2.42/0.65	  inference(binary_proxy_clausification,[],[f296])).
2.42/0.65	thf(f296,plain,(
2.42/0.65	  ((((sK5 @ sK9 @ sK12) | (sK3 @ sK9 @ sK12)) => (sK11 @ sK12)) = $false) | ~spl0_7),
2.42/0.65	  inference(beta_eta_normalization,[],[f292])).
2.42/0.65	thf(f292,plain,(
2.42/0.65	  (((^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK3 @ sK9 @ Y0)) => (sK11 @ Y0))) @ sK12) = $false) | ~spl0_7),
2.42/0.65	  inference(sigma_clausification,[],[f269])).
2.42/0.65	thf(f273,plain,(
2.42/0.65	  spl0_7 | spl0_8 | ~spl0_4),
2.42/0.65	  inference(avatar_split_clause,[],[f264,f39,f271,f268])).
2.42/0.65	thf(f264,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK3 @ sK9 @ Y0)) => (sK11 @ Y0)))) = $false) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK11 @ Y0) & ((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (sK11 @ Y1)))))) = $false) | ~spl0_4),
2.42/0.65	  inference(binary_proxy_clausification,[],[f245])).
2.42/0.65	thf(f245,plain,(
2.42/0.65	  (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK3 @ sK9 @ Y0)) => (sK11 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK11 @ Y0) & ((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (sK11 @ Y1))))))) = $false) | ~spl0_4),
2.42/0.65	  inference(not_proxy_clausification,[],[f193])).
2.42/0.65	thf(f193,plain,(
2.42/0.65	  ((~ ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK3 @ sK9 @ Y0)) => (sK11 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK11 @ Y0) & ((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (sK11 @ Y1)))))))) = $true) | ~spl0_4),
2.42/0.65	  inference(boolean_simplification,[],[f192])).
2.42/0.65	thf(f192,plain,(
2.42/0.65	  ($true = (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK3 @ sK9 @ Y0)) => (sK11 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK11 @ Y0) & ((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (sK11 @ Y1))))))) => $false)) | ~spl0_4),
2.42/0.65	  inference(superposition,[],[f188,f178])).
2.42/0.65	thf(f178,plain,(
2.42/0.65	  ((sK11 @ sK10) = $false) | ~spl0_4),
2.42/0.65	  inference(boolean_simplification,[],[f177])).
2.42/0.65	thf(f177,plain,(
2.42/0.65	  (($true => (sK11 @ sK10)) = $false) | ~spl0_4),
2.42/0.65	  inference(backward_demodulation,[],[f161,f176])).
2.42/0.65	thf(f188,plain,(
2.42/0.65	  ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK3 @ sK9 @ Y0)) => (X1 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((X1 @ Y0) & ((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (X1 @ Y1))))))) => (X1 @ sK10)))) ) | ~spl0_4),
2.42/0.65	  inference(beta_eta_normalization,[],[f187])).
2.42/0.65	thf(f187,plain,(
2.42/0.65	  ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK9 @ Y1) | (sK3 @ sK9 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2))))))) => (Y0 @ sK10))) @ X1))) ) | ~spl0_4),
2.42/0.65	  inference(pi_clausification,[],[f182])).
2.42/0.65	thf(f182,plain,(
2.42/0.65	  ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK9 @ Y1) | (sK3 @ sK9 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2))))))) => (Y0 @ sK10))))) | ~spl0_4),
2.42/0.65	  inference(boolean_simplification,[],[f181])).
2.42/0.65	thf(f181,plain,(
2.42/0.65	  ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK9 @ Y1) | (sK3 @ sK9 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2))))))) => (Y0 @ sK10)))) & $true)) | ~spl0_4),
2.42/0.65	  inference(backward_demodulation,[],[f139,f179])).
2.42/0.65	thf(f179,plain,(
2.42/0.65	  ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK8 @ Y1) | (sK3 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK9))))) | ~spl0_4),
2.42/0.65	  inference(binary_proxy_clausification,[],[f139])).
2.42/0.65	thf(f139,plain,(
2.42/0.65	  ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK9 @ Y1) | (sK3 @ sK9 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2))))))) => (Y0 @ sK10)))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK8 @ Y1) | (sK3 @ sK8 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK9)))))) | ~spl0_4),
2.42/0.65	  inference(binary_proxy_clausification,[],[f121])).
2.42/0.65	thf(f105,plain,(
2.42/0.65	  spl0_5 | spl0_6 | ~spl0_3),
2.42/0.65	  inference(avatar_split_clause,[],[f98,f36,f103,f100])).
2.42/0.65	thf(f98,plain,(
2.42/0.65	  ($true = (sK5 @ sK4 @ sK7)) | ($true = (sK3 @ sK4 @ sK7)) | ~spl0_3),
2.42/0.65	  inference(binary_proxy_clausification,[],[f91])).
2.42/0.65	thf(f91,plain,(
2.42/0.65	  ($true = ((sK5 @ sK4 @ sK7) | (sK3 @ sK4 @ sK7))) | ~spl0_3),
2.42/0.65	  inference(binary_proxy_clausification,[],[f83])).
2.42/0.65	thf(f83,plain,(
2.42/0.65	  ((((sK5 @ sK4 @ sK7) | (sK3 @ sK4 @ sK7)) => (sK6 @ sK7)) = $false) | ~spl0_3),
2.42/0.65	  inference(beta_eta_normalization,[],[f79])).
2.42/0.65	thf(f79,plain,(
2.42/0.65	  (((^[Y0 : a]: (((sK5 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0))) @ sK7) = $false) | ~spl0_3),
2.42/0.65	  inference(sigma_clausification,[],[f70])).
2.42/0.65	thf(f70,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0)))) = $false) | ~spl0_3),
2.42/0.65	  inference(not_proxy_clausification,[],[f61])).
2.42/0.65	thf(f61,plain,(
2.42/0.65	  ($true = (~ (!! @ a @ (^[Y0 : a]: (((sK5 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0)))))) | ~spl0_3),
2.42/0.65	  inference(boolean_simplification,[],[f60])).
2.42/0.65	thf(f60,plain,(
2.42/0.65	  ($true = (~ ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0)))) & $true))) | ~spl0_3),
2.42/0.65	  inference(forward_demodulation,[],[f59,f53])).
2.42/0.65	thf(f59,plain,(
2.42/0.65	  ($true = (~ ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1))))))))) | ~spl0_3),
2.42/0.65	  inference(boolean_simplification,[],[f58])).
2.42/0.65	thf(f58,plain,(
2.42/0.65	  ($true = (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (sK6 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1))))))) => $false)) | ~spl0_3),
2.42/0.65	  inference(superposition,[],[f52,f47])).
2.42/0.65	thf(f52,plain,(
2.42/0.65	  ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK4 @ Y0) | (sK3 @ sK4 @ Y0)) => (X1 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK3 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (X1 @ Y0)) => (X1 @ Y1))))))) => (X1 @ sK2)))) ) | ~spl0_3),
2.42/0.65	  inference(beta_eta_normalization,[],[f51])).
2.42/0.65	thf(f51,plain,(
2.42/0.65	  ( ! [X1 : a > $o] : ((((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2))) @ X1) = $true)) ) | ~spl0_3),
2.42/0.65	  inference(pi_clausification,[],[f48])).
2.42/0.65	thf(f48,plain,(
2.42/0.65	  ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2))))) | ~spl0_3),
2.42/0.65	  inference(not_proxy_clausification,[],[f37])).
2.42/0.65	thf(f41,plain,(
2.42/0.65	  spl0_3 | spl0_4 | ~spl0_2),
2.42/0.65	  inference(avatar_split_clause,[],[f34,f27,f39,f36])).
2.42/0.65	thf(f27,plain,(
2.42/0.65	  spl0_2 <=> (((~ (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK3 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5))))))) => (Y3 @ Y2)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK3 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK3 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2)))))))))))) = $false)),
2.42/0.65	  introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
2.42/0.65	thf(f34,plain,(
2.42/0.65	  ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK3 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5))))))) => (Y3 @ Y2)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK3 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK3 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2))))))))))) = $false) | ((~ (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2))))) = $false) | ~spl0_2),
2.42/0.65	  inference(binary_proxy_clausification,[],[f28])).
2.42/0.65	thf(f28,plain,(
2.42/0.65	  (((~ (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK3 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5))))))) => (Y3 @ Y2)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK3 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK3 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2)))))))))))) = $false) | ~spl0_2),
2.42/0.65	  inference(avatar_component_clause,[],[f27])).
2.42/0.65	thf(f29,plain,(
2.42/0.65	  spl0_1 | spl0_2),
2.42/0.65	  inference(avatar_split_clause,[],[f22,f27,f24])).
2.42/0.65	thf(f22,plain,(
2.42/0.65	  (((~ (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK3 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5))))))) => (Y3 @ Y2)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK3 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK3 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2)))))))))))) = $false) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK3 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & (sK5 @ Y3 @ Y4)) => (Y2 @ Y4))))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y1 @ Y3) | (sK3 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0))))))))) = $false)),
2.42/0.65	  inference(binary_proxy_clausification,[],[f21])).
2.42/0.65	thf(f21,plain,(
2.42/0.65	  ((((~ (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK3 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5))))))) => (Y3 @ Y2)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK3 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK3 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2)))))))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK3 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & (sK5 @ Y3 @ Y4)) => (Y2 @ Y4))))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y1 @ Y3) | (sK3 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0)))))))))) = $false)),
2.42/0.65	  inference(boolean_simplification,[],[f20])).
2.42/0.65	thf(f20,plain,(
2.42/0.65	  (((((~ (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK4 @ Y1) | (sK3 @ sK4 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK3 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK2))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK3 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5))))))) => (Y3 @ Y2)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK3 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK3 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK3 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2)))))))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK3 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK3 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & (sK5 @ Y3 @ Y4)) => (Y2 @ Y4))))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y1 @ Y3) | (sK3 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0)))))))))) | $false) = $false)),
2.42/0.65	  inference(backward_demodulation,[],[f17,f18])).
2.42/0.65	% SZS output end Proof for theBenchmark
2.42/0.65	% (30563)------------------------------
2.42/0.65	% (30563)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.42/0.65	% (30563)Termination reason: Refutation
2.42/0.65	
2.42/0.65	% (30563)Memory used [KB]: 7164
2.42/0.65	% (30563)Time elapsed: 0.203 s
2.42/0.65	% (30563)Instructions burned: 413 (million)
2.42/0.65	% (30563)------------------------------
2.42/0.65	% (30563)------------------------------
2.42/0.65	% (30544)Success in time 0.297 s
2.42/0.65	% Vampire---4.8 exiting
2.42/0.65	EOF