0.00/0.12	% Problem    : Vampire---4.8_27452 : TPTP v0.0.0. Released v0.0.0.
0.13/0.14	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.14/0.35	% Computer : n011.cluster.edu
0.14/0.35	% Model    : x86_64 x86_64
0.14/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.35	% Memory   : 8042.1875MB
0.14/0.35	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.35	% CPULimit   : 1440
0.14/0.35	% WCLimit    : 180
0.14/0.35	% DateTime   : Mon Jul  3 12:49:24 EDT 2023
0.14/0.35	% CPUTime    : 
0.14/0.35	This is a THF_ problem
0.14/0.36	Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.rt4fhjAPMg/Vampire---4.8_27452 -m 12000  -t 180
0.14/0.38	% (27565)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi)
0.14/0.38	% (27567)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 Vampire---4 for (1799ds/74Mi)
0.14/0.38	% (27569)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi)
0.14/0.38	% (27566)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.14/0.38	% (27568)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi)
0.14/0.38	% (27562)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.14/0.38	% (27568)Instruction limit reached!
0.14/0.38	% (27568)------------------------------
0.14/0.38	% (27568)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.14/0.38	% (27568)Termination reason: Unknown
0.14/0.38	% (27568)Termination phase: Preprocessing 3
0.14/0.38	
0.14/0.38	% (27564)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi)
0.14/0.38	% (27568)Memory used [KB]: 1023
0.14/0.38	% (27568)Time elapsed: 0.005 s
0.14/0.38	% (27568)Instructions burned: 5 (million)
0.14/0.38	% (27568)------------------------------
0.14/0.38	% (27568)------------------------------
0.14/0.39	% (27566)Instruction limit reached!
0.14/0.39	% (27566)------------------------------
0.14/0.39	% (27566)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.14/0.39	% (27566)Termination reason: Unknown
0.14/0.39	% (27566)Termination phase: Saturation
0.14/0.39	
0.14/0.39	% (27566)Memory used [KB]: 5756
0.14/0.39	% (27566)Time elapsed: 0.013 s
0.14/0.39	% (27566)Instructions burned: 18 (million)
0.14/0.39	% (27566)------------------------------
0.14/0.39	% (27566)------------------------------
0.14/0.39	% (27563)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.14/0.39	% (27570)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 Vampire---4 for (1799ds/21Mi)
0.14/0.40	% (27564)Instruction limit reached!
0.14/0.40	% (27564)------------------------------
0.14/0.40	% (27564)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.14/0.40	% (27564)Termination reason: Unknown
0.14/0.40	% (27564)Termination phase: Saturation
0.14/0.40	
0.14/0.40	% (27564)Memory used [KB]: 5884
0.14/0.40	% (27564)Time elapsed: 0.024 s
0.14/0.40	% (27564)Instructions burned: 34 (million)
0.14/0.40	% (27564)------------------------------
0.14/0.40	% (27564)------------------------------
0.14/0.40	% (27571)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi)
0.14/0.40	% (27570)Instruction limit reached!
0.14/0.40	% (27570)------------------------------
0.14/0.40	% (27570)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.14/0.40	% (27570)Termination reason: Unknown
0.14/0.40	% (27570)Termination phase: Saturation
0.14/0.40	
0.14/0.40	% (27570)Memory used [KB]: 5756
0.14/0.40	% (27570)Time elapsed: 0.013 s
0.14/0.40	% (27570)Instructions burned: 21 (million)
0.14/0.40	% (27570)------------------------------
0.14/0.40	% (27570)------------------------------
0.14/0.41	% (27571)Instruction limit reached!
0.14/0.41	% (27571)------------------------------
0.14/0.41	% (27571)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.14/0.41	% (27571)Termination reason: Unknown
0.14/0.41	% (27571)Termination phase: Property scanning
0.14/0.41	
0.14/0.41	% (27571)Memory used [KB]: 1151
0.14/0.41	% (27571)Time elapsed: 0.006 s
0.14/0.41	% (27571)Instructions burned: 7 (million)
0.14/0.41	% (27571)------------------------------
0.14/0.41	% (27571)------------------------------
0.14/0.41	% (27563)Instruction limit reached!
0.14/0.41	% (27563)------------------------------
0.14/0.41	% (27563)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.14/0.41	% (27563)Termination reason: Unknown
0.14/0.41	% (27563)Termination phase: Saturation
0.14/0.41	
0.14/0.41	% (27563)Memory used [KB]: 5756
0.14/0.41	% (27563)Time elapsed: 0.022 s
0.14/0.41	% (27563)Instructions burned: 36 (million)
0.14/0.41	% (27563)------------------------------
0.14/0.41	% (27563)------------------------------
0.14/0.41	% (27572)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 Vampire---4 for (1799ds/1021Mi)
0.14/0.42	% (27567)Instruction limit reached!
0.14/0.42	% (27567)------------------------------
0.14/0.42	% (27567)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.14/0.42	% (27567)Termination reason: Unknown
0.14/0.42	% (27567)Termination phase: Saturation
0.14/0.42	
0.14/0.42	% (27567)Memory used [KB]: 5756
0.14/0.42	% (27567)Time elapsed: 0.042 s
0.14/0.42	% (27567)Instructions burned: 74 (million)
0.14/0.42	% (27567)------------------------------
0.14/0.42	% (27567)------------------------------
0.14/0.42	% (27573)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi)
0.14/0.42	% (27574)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 Vampire---4 for (1799ds/9Mi)
0.14/0.42	% (27575)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi)
0.21/0.43	% (27574)Instruction limit reached!
0.21/0.43	% (27574)------------------------------
0.21/0.43	% (27574)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.43	% (27574)Termination reason: Unknown
0.21/0.43	% (27574)Termination phase: Saturation
0.21/0.43	
0.21/0.43	% (27574)Memory used [KB]: 1151
0.21/0.43	% (27574)Time elapsed: 0.007 s
0.21/0.43	% (27574)Instructions burned: 10 (million)
0.21/0.43	% (27574)------------------------------
0.21/0.43	% (27574)------------------------------
0.21/0.43	% (27576)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi)
0.21/0.44	% (27577)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi)
0.21/0.44	% (27562)Instruction limit reached!
0.21/0.44	% (27562)------------------------------
0.21/0.44	% (27562)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.44	% (27562)Termination reason: Unknown
0.21/0.44	% (27562)Termination phase: Saturation
0.21/0.44	
0.21/0.44	% (27562)Memory used [KB]: 6012
0.21/0.44	% (27562)Time elapsed: 0.081 s
0.21/0.44	% (27562)Instructions burned: 97 (million)
0.21/0.44	% (27562)------------------------------
0.21/0.44	% (27562)------------------------------
0.21/0.46	% (27573)Instruction limit reached!
0.21/0.46	% (27573)------------------------------
0.21/0.46	% (27573)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.46	% (27573)Termination reason: Unknown
0.21/0.46	% (27573)Termination phase: Saturation
0.21/0.46	
0.21/0.46	% (27573)Memory used [KB]: 6012
0.21/0.46	% (27573)Time elapsed: 0.043 s
0.21/0.46	% (27573)Instructions burned: 71 (million)
0.21/0.46	% (27573)------------------------------
0.21/0.46	% (27573)------------------------------
0.21/0.47	% (27578)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi)
0.21/0.47	% (27577)Instruction limit reached!
0.21/0.47	% (27577)------------------------------
0.21/0.47	% (27577)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.47	% (27577)Termination reason: Unknown
0.21/0.47	% (27577)Termination phase: Saturation
0.21/0.47	
0.21/0.47	% (27577)Memory used [KB]: 6012
0.21/0.47	% (27577)Time elapsed: 0.028 s
0.21/0.47	% (27577)Instructions burned: 62 (million)
0.21/0.47	% (27577)------------------------------
0.21/0.47	% (27577)------------------------------
0.21/0.47	% (27579)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 Vampire---4 for (1799ds/2Mi)
0.21/0.47	% (27578)Instruction limit reached!
0.21/0.47	% (27578)------------------------------
0.21/0.47	% (27578)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.47	% (27578)Termination reason: Unknown
0.21/0.47	% (27578)Termination phase: Saturation
0.21/0.47	
0.21/0.47	% (27578)Memory used [KB]: 5628
0.21/0.47	% (27578)Time elapsed: 0.008 s
0.21/0.47	% (27578)Instructions burned: 14 (million)
0.21/0.47	% (27578)------------------------------
0.21/0.47	% (27578)------------------------------
0.21/0.47	% (27579)Instruction limit reached!
0.21/0.47	% (27579)------------------------------
0.21/0.47	% (27579)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.47	% (27579)Termination reason: Unknown
0.21/0.47	% (27579)Termination phase: shuffling
0.21/0.47	
0.21/0.47	% (27579)Memory used [KB]: 1023
0.21/0.47	% (27579)Time elapsed: 0.002 s
0.21/0.47	% (27579)Instructions burned: 3 (million)
0.21/0.47	% (27579)------------------------------
0.21/0.47	% (27579)------------------------------
0.21/0.47	% (27580)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 Vampire---4 for (1799ds/1041Mi)
0.21/0.48	% (27582)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (1798ds/140Mi)
0.21/0.49	% (27581)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (1798ds/11Mi)
0.21/0.49	% (27576)Instruction limit reached!
0.21/0.49	% (27576)------------------------------
0.21/0.49	% (27576)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.49	% (27576)Termination reason: Unknown
0.21/0.49	% (27576)Termination phase: Saturation
0.21/0.49	
0.21/0.49	% (27576)Memory used [KB]: 6268
0.21/0.49	% (27576)Time elapsed: 0.061 s
0.21/0.49	% (27576)Instructions burned: 128 (million)
0.21/0.49	% (27576)------------------------------
0.21/0.49	% (27576)------------------------------
0.21/0.49	% (27581)Instruction limit reached!
0.21/0.49	% (27581)------------------------------
0.21/0.49	% (27581)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.49	% (27581)Termination reason: Unknown
0.21/0.49	% (27581)Termination phase: Saturation
0.21/0.49	
0.21/0.49	% (27581)Memory used [KB]: 5500
0.21/0.49	% (27581)Time elapsed: 0.007 s
0.21/0.49	% (27581)Instructions burned: 12 (million)
0.21/0.49	% (27581)------------------------------
0.21/0.49	% (27581)------------------------------
0.21/0.50	% (27583)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 Vampire---4 for (1798ds/26Mi)
0.21/0.50	% (27584)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1798ds/56Mi)
0.21/0.51	% (27583)Instruction limit reached!
0.21/0.51	% (27583)------------------------------
0.21/0.51	% (27583)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.51	% (27583)Termination reason: Unknown
0.21/0.51	% (27583)Termination phase: Saturation
0.21/0.51	
0.21/0.51	% (27583)Memory used [KB]: 5500
0.21/0.51	% (27583)Time elapsed: 0.008 s
0.21/0.51	% (27583)Instructions burned: 28 (million)
0.21/0.51	% (27583)------------------------------
0.21/0.51	% (27583)------------------------------
0.21/0.51	% (27585)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (1798ds/275Mi)
0.21/0.52	% (27584)Instruction limit reached!
0.21/0.52	% (27584)------------------------------
0.21/0.52	% (27584)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.52	% (27584)Termination reason: Unknown
0.21/0.52	% (27584)Termination phase: Saturation
0.21/0.52	
0.21/0.52	% (27584)Memory used [KB]: 1407
0.21/0.52	% (27584)Time elapsed: 0.021 s
0.21/0.52	% (27584)Instructions burned: 57 (million)
0.21/0.52	% (27584)------------------------------
0.21/0.52	% (27584)------------------------------
0.21/0.53	% (27582)Instruction limit reached!
0.21/0.53	% (27582)------------------------------
0.21/0.53	% (27582)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.53	% (27582)Termination reason: Unknown
0.21/0.53	% (27582)Termination phase: Saturation
0.21/0.53	
0.21/0.53	% (27582)Memory used [KB]: 6396
0.21/0.53	% (27582)Time elapsed: 0.049 s
0.21/0.53	% (27582)Instructions burned: 140 (million)
0.21/0.53	% (27582)------------------------------
0.21/0.53	% (27582)------------------------------
0.21/0.53	% (27565)Instruction limit reached!
0.21/0.53	% (27565)------------------------------
0.21/0.53	% (27565)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.53	% (27565)Termination reason: Unknown
0.21/0.53	% (27565)Termination phase: Saturation
0.21/0.53	
0.21/0.53	% (27565)Memory used [KB]: 6140
0.21/0.53	% (27565)Time elapsed: 0.155 s
0.21/0.53	% (27565)Instructions burned: 385 (million)
0.21/0.53	% (27565)------------------------------
0.21/0.53	% (27565)------------------------------
0.21/0.53	% (27586)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi)
0.21/0.53	% (27586)Instruction limit reached!
0.21/0.53	% (27586)------------------------------
0.21/0.53	% (27586)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.53	% (27586)Termination reason: Unknown
0.21/0.53	% (27586)Termination phase: shuffling
0.21/0.53	
0.21/0.53	% (27586)Memory used [KB]: 1023
0.21/0.53	% (27586)Time elapsed: 0.002 s
0.21/0.53	% (27586)Instructions burned: 3 (million)
0.21/0.53	% (27586)------------------------------
0.21/0.53	% (27586)------------------------------
0.21/0.54	% (27587)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 Vampire---4 for (1798ds/19Mi)
0.21/0.54	% (27588)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 Vampire---4 for (1798ds/44Mi)
0.21/0.54	% (27589)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on Vampire---4 for (1798ds/191Mi)
0.21/0.54	% (27587)Instruction limit reached!
0.21/0.54	% (27587)------------------------------
0.21/0.54	% (27587)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.54	% (27587)Termination reason: Unknown
0.21/0.54	% (27587)Termination phase: Saturation
0.21/0.54	
0.21/0.54	% (27587)Memory used [KB]: 5500
0.21/0.54	% (27587)Time elapsed: 0.006 s
0.21/0.54	% (27587)Instructions burned: 20 (million)
0.21/0.54	% (27587)------------------------------
0.21/0.54	% (27587)------------------------------
0.21/0.55	% (27588)Instruction limit reached!
0.21/0.55	% (27588)------------------------------
0.21/0.55	% (27588)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.55	% (27588)Termination reason: Unknown
0.21/0.55	% (27588)Termination phase: Saturation
0.21/0.55	
0.21/0.55	% (27588)Memory used [KB]: 1151
0.21/0.55	% (27588)Time elapsed: 0.013 s
0.21/0.55	% (27588)Instructions burned: 47 (million)
0.21/0.55	% (27588)------------------------------
0.21/0.55	% (27588)------------------------------
0.21/0.55	% (27590)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (1798ds/62Mi)
0.21/0.56	% (27591)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=105:si=on:rtra=on_0 on Vampire---4 for (1798ds/105Mi)
1.69/0.58	% (27590)Instruction limit reached!
1.69/0.58	% (27590)------------------------------
1.69/0.58	% (27590)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.69/0.58	% (27590)Termination reason: Unknown
1.69/0.58	% (27590)Termination phase: Saturation
1.69/0.58	
1.69/0.58	% (27590)Memory used [KB]: 5756
1.69/0.58	% (27590)Time elapsed: 0.046 s
1.69/0.58	% (27590)Instructions burned: 63 (million)
1.69/0.58	% (27590)------------------------------
1.69/0.58	% (27590)------------------------------
1.83/0.58	% (27592)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1797ds/3Mi)
1.83/0.59	% (27592)Instruction limit reached!
1.83/0.59	% (27592)------------------------------
1.83/0.59	% (27592)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.83/0.59	% (27592)Termination reason: Unknown
1.83/0.59	% (27592)Termination phase: Preprocessing 3
1.83/0.59	
1.83/0.59	% (27592)Memory used [KB]: 1023
1.83/0.59	% (27592)Time elapsed: 0.003 s
1.83/0.59	% (27592)Instructions burned: 5 (million)
1.83/0.59	% (27592)------------------------------
1.83/0.59	% (27592)------------------------------
1.83/0.59	% (27593)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 Vampire---4 for (1797ds/238Mi)
1.83/0.59	% (27591)Instruction limit reached!
1.83/0.59	% (27591)------------------------------
1.83/0.59	% (27591)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.83/0.59	% (27591)Termination reason: Unknown
1.83/0.59	% (27591)Termination phase: Saturation
1.83/0.59	
1.83/0.59	% (27591)Memory used [KB]: 6012
1.83/0.59	% (27591)Time elapsed: 0.060 s
1.83/0.59	% (27591)Instructions burned: 107 (million)
1.83/0.59	% (27591)------------------------------
1.83/0.59	% (27591)------------------------------
1.83/0.60	% (27594)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 Vampire---4 for (1797ds/3Mi)
1.83/0.60	% (27594)Instruction limit reached!
1.83/0.60	% (27594)------------------------------
1.83/0.60	% (27594)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.83/0.60	% (27594)Termination reason: Unknown
1.83/0.60	% (27594)Termination phase: shuffling
1.83/0.60	
1.83/0.60	% (27594)Memory used [KB]: 1023
1.83/0.60	% (27594)Time elapsed: 0.002 s
1.83/0.60	% (27594)Instructions burned: 3 (million)
1.83/0.60	% (27594)------------------------------
1.83/0.60	% (27594)------------------------------
1.83/0.61	% (27589)Instruction limit reached!
1.83/0.61	% (27589)------------------------------
1.83/0.61	% (27589)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.83/0.61	% (27589)Termination reason: Unknown
1.83/0.61	% (27589)Termination phase: Saturation
1.83/0.61	
1.83/0.61	% (27589)Memory used [KB]: 6140
1.83/0.61	% (27589)Time elapsed: 0.091 s
1.83/0.61	% (27589)Instructions burned: 193 (million)
1.83/0.61	% (27589)------------------------------
1.83/0.61	% (27589)------------------------------
1.83/0.61	% (27585)Instruction limit reached!
1.83/0.61	% (27585)------------------------------
1.83/0.61	% (27585)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.83/0.61	% (27585)Termination reason: Unknown
1.83/0.61	% (27585)Termination phase: Saturation
1.83/0.61	
1.83/0.61	% (27585)Memory used [KB]: 6524
1.83/0.61	% (27585)Time elapsed: 0.096 s
1.83/0.61	% (27585)Instructions burned: 277 (million)
1.83/0.61	% (27585)------------------------------
1.83/0.61	% (27585)------------------------------
1.83/0.61	% (27595)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 Vampire---4 for (1797ds/4Mi)
1.83/0.61	% (27595)Instruction limit reached!
1.83/0.61	% (27595)------------------------------
1.83/0.61	% (27595)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.83/0.61	% (27595)Termination reason: Unknown
1.83/0.61	% (27595)Termination phase: Preprocessing 3
1.83/0.61	
1.83/0.61	% (27595)Memory used [KB]: 1151
1.83/0.61	% (27595)Time elapsed: 0.003 s
1.83/0.61	% (27595)Instructions burned: 6 (million)
1.83/0.61	% (27595)------------------------------
1.83/0.61	% (27595)------------------------------
1.83/0.62	% (27596)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 Vampire---4 for (1797ds/149Mi)
1.83/0.62	% (27597)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on Vampire---4 for (1797ds/150Mi)
1.83/0.62	% (27598)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 Vampire---4 for (1797ds/199Mi)
2.21/0.65	% (27596)Instruction limit reached!
2.21/0.65	% (27596)------------------------------
2.21/0.65	% (27596)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.21/0.65	% (27596)Termination reason: Unknown
2.21/0.65	% (27596)Termination phase: Property scanning
2.21/0.65	
2.21/0.65	% (27596)Memory used [KB]: 2046
2.21/0.65	% (27596)Time elapsed: 0.037 s
2.21/0.65	% (27596)Instructions burned: 151 (million)
2.21/0.65	% (27596)------------------------------
2.21/0.65	% (27596)------------------------------
2.21/0.66	% (27599)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (1797ds/39Mi)
2.21/0.66	% (27597)Instruction limit reached!
2.21/0.66	% (27597)------------------------------
2.21/0.66	% (27597)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.21/0.66	% (27597)Termination reason: Unknown
2.21/0.66	% (27597)Termination phase: Saturation
2.21/0.66	
2.21/0.66	% (27597)Memory used [KB]: 6268
2.21/0.66	% (27597)Time elapsed: 0.072 s
2.21/0.66	% (27597)Instructions burned: 152 (million)
2.21/0.66	% (27597)------------------------------
2.21/0.66	% (27597)------------------------------
2.21/0.67	% (27593)Instruction limit reached!
2.21/0.67	% (27593)------------------------------
2.21/0.67	% (27593)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.21/0.67	% (27593)Termination reason: Unknown
2.21/0.67	% (27593)Termination phase: Saturation
2.21/0.67	
2.21/0.67	% (27593)Memory used [KB]: 5884
2.21/0.67	% (27593)Time elapsed: 0.074 s
2.21/0.67	% (27593)Instructions burned: 239 (million)
2.21/0.67	% (27593)------------------------------
2.21/0.67	% (27593)------------------------------
2.21/0.67	% (27599)Instruction limit reached!
2.21/0.67	% (27599)------------------------------
2.21/0.67	% (27599)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.21/0.67	% (27599)Termination reason: Unknown
2.21/0.67	% (27599)Termination phase: Saturation
2.21/0.67	
2.21/0.67	% (27599)Memory used [KB]: 5756
2.21/0.67	% (27599)Time elapsed: 0.014 s
2.21/0.67	% (27599)Instructions burned: 39 (million)
2.21/0.67	% (27599)------------------------------
2.21/0.67	% (27599)------------------------------
2.21/0.67	% (27600)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=721:si=on:rtra=on_0 on Vampire---4 for (1796ds/721Mi)
2.21/0.68	% (27601)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=3:si=on:rtra=on_0 on Vampire---4 for (1796ds/3Mi)
2.21/0.68	% (27601)Instruction limit reached!
2.21/0.68	% (27601)------------------------------
2.21/0.68	% (27601)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.21/0.68	% (27601)Termination reason: Unknown
2.21/0.68	% (27601)Termination phase: Naming
2.21/0.68	
2.21/0.68	% (27601)Memory used [KB]: 1023
2.21/0.68	% (27601)Time elapsed: 0.002 s
2.21/0.68	% (27601)Instructions burned: 3 (million)
2.21/0.68	% (27601)------------------------------
2.21/0.68	% (27601)------------------------------
2.21/0.68	% (27602)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (1796ds/18Mi)
2.21/0.68	% (27603)lrs+10_1:1_au=on:c=on:sac=on:slsq=on:slsqc=2:i=218:si=on:rtra=on_0 on Vampire---4 for (1796ds/218Mi)
2.21/0.69	% (27602)Instruction limit reached!
2.21/0.69	% (27602)------------------------------
2.21/0.69	% (27602)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.21/0.69	% (27602)Termination reason: Unknown
2.21/0.69	% (27602)Termination phase: Saturation
2.21/0.69	
2.21/0.69	% (27602)Memory used [KB]: 5756
2.21/0.69	% (27602)Time elapsed: 0.007 s
2.21/0.69	% (27602)Instructions burned: 19 (million)
2.21/0.69	% (27602)------------------------------
2.21/0.69	% (27602)------------------------------
2.21/0.69	% (27598)Instruction limit reached!
2.21/0.69	% (27598)------------------------------
2.21/0.69	% (27598)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.21/0.69	% (27598)Termination reason: Unknown
2.21/0.69	% (27598)Termination phase: Saturation
2.21/0.69	
2.21/0.69	% (27598)Memory used [KB]: 6268
2.21/0.69	% (27598)Time elapsed: 0.093 s
2.21/0.69	% (27598)Instructions burned: 201 (million)
2.21/0.69	% (27598)------------------------------
2.21/0.69	% (27598)------------------------------
2.21/0.70	% (27604)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on Vampire---4 for (1796ds/448Mi)
2.21/0.70	% (27605)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (1796ds/6Mi)
2.21/0.70	% (27580)First to succeed.
2.21/0.70	% (27605)Instruction limit reached!
2.21/0.70	% (27605)------------------------------
2.21/0.70	% (27605)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.21/0.70	% (27605)Termination reason: Unknown
2.21/0.70	% (27605)Termination phase: Property scanning
2.21/0.70	
2.21/0.70	% (27605)Memory used [KB]: 1023
2.21/0.70	% (27605)Time elapsed: 0.003 s
2.21/0.70	% (27605)Instructions burned: 7 (million)
2.21/0.70	% (27605)------------------------------
2.21/0.70	% (27605)------------------------------
2.21/0.71	% (27606)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=9:si=on:rtra=on_0 on Vampire---4 for (1796ds/9Mi)
2.81/0.71	% (27606)Instruction limit reached!
2.81/0.71	% (27606)------------------------------
2.81/0.71	% (27606)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.81/0.71	% (27606)Termination reason: Unknown
2.81/0.71	% (27606)Termination phase: Property scanning
2.81/0.71	
2.81/0.71	% (27606)Memory used [KB]: 1151
2.81/0.71	% (27606)Time elapsed: 0.004 s
2.81/0.71	% (27606)Instructions burned: 10 (million)
2.81/0.71	% (27606)------------------------------
2.81/0.71	% (27606)------------------------------
2.81/0.72	% (27580)Refutation found. Thanks to Tanya!
2.81/0.72	% SZS status Theorem for Vampire---4
2.81/0.72	% SZS output start Proof for Vampire---4
2.81/0.72	thf(type_def_5, type, a: $tType).
2.81/0.72	thf(func_def_0, type, a: $tType).
2.81/0.72	thf(func_def_20, type, ph1: !>[X0: $tType]:(X0)).
2.81/0.72	thf(func_def_21, type, sK2: a).
2.81/0.72	thf(func_def_22, type, sK3: a > a > $o).
2.81/0.72	thf(func_def_23, type, sK4: a > a > $o).
2.81/0.72	thf(func_def_24, type, sK5: a).
2.81/0.72	thf(func_def_25, type, sK6: a > a > $o).
2.81/0.72	thf(func_def_26, type, sK7: a).
2.81/0.72	thf(func_def_27, type, sK8: a).
2.81/0.72	thf(func_def_28, type, sK9: a > a > $o).
2.81/0.72	thf(func_def_29, type, sK10: a).
2.81/0.72	thf(func_def_30, type, sK11: a).
2.81/0.72	thf(func_def_31, type, sK12: a).
2.81/0.72	thf(func_def_32, type, sK13: a).
2.81/0.72	thf(func_def_33, type, sK14: a).
2.81/0.72	thf(func_def_34, type, sK15: a).
2.81/0.72	thf(func_def_35, type, sK16: a).
2.81/0.72	thf(func_def_36, type, sK17: a).
2.81/0.72	thf(func_def_37, type, sK18: a).
2.81/0.72	thf(func_def_38, type, sK19: a).
2.81/0.72	thf(func_def_39, type, sK20: a > a > $o).
2.81/0.72	thf(func_def_40, type, sK21: a).
2.81/0.72	thf(func_def_41, type, sK22: a).
2.81/0.72	thf(func_def_42, type, sK23: a).
2.81/0.72	thf(func_def_43, type, sK24: a).
2.81/0.72	thf(func_def_44, type, sK25: a).
2.81/0.72	thf(func_def_45, type, sK26: a).
2.81/0.72	thf(func_def_46, type, sK27: a).
2.81/0.72	thf(func_def_47, type, sK28: a).
2.81/0.72	thf(func_def_48, type, sK29: a).
2.81/0.72	thf(func_def_49, type, sK30: a).
2.81/0.72	thf(func_def_50, type, sK31: a).
2.81/0.72	thf(func_def_51, type, sK32: a).
2.81/0.72	thf(func_def_52, type, sK33: a).
2.81/0.72	thf(func_def_53, type, sK34: a).
2.81/0.72	thf(func_def_54, type, sK35: a).
2.81/0.72	thf(func_def_55, type, sK36: a).
2.81/0.72	thf(func_def_56, type, sK37: a).
2.81/0.72	thf(func_def_57, type, sK38: a).
2.81/0.72	thf(func_def_58, type, sK39: a).
2.81/0.72	thf(func_def_59, type, sK40: a).
2.81/0.72	thf(func_def_60, type, sK41: a).
2.81/0.72	thf(func_def_61, type, sK42: a).
2.81/0.72	thf(func_def_62, type, sK43: a).
2.81/0.72	thf(func_def_63, type, sK44: a).
2.81/0.72	thf(func_def_64, type, sK45: a).
2.81/0.72	thf(func_def_65, type, sK46: a).
2.81/0.72	thf(func_def_66, type, sK47: a).
2.81/0.72	thf(f3848,plain,(
2.81/0.72	  $false),
2.81/0.72	  inference(avatar_sat_refutation,[],[f56,f120,f226,f262,f342,f457,f1073,f1147,f1314,f2022,f2143,f2187,f2224,f2312,f2338,f2767,f3311,f3441,f3620,f3833])).
2.81/0.72	thf(f3833,plain,(
2.81/0.72	  ~spl0_2 | ~spl0_4 | ~spl0_13),
2.81/0.72	  inference(avatar_contradiction_clause,[],[f3832])).
2.81/0.72	thf(f3832,plain,(
2.81/0.72	  $false | (~spl0_2 | ~spl0_4 | ~spl0_13)),
2.81/0.72	  inference(trivial_inequality_removal,[],[f3831])).
2.81/0.72	thf(f3831,plain,(
2.81/0.72	  ($false = $true) | (~spl0_2 | ~spl0_4 | ~spl0_13)),
2.81/0.72	  inference(forward_demodulation,[],[f3774,f3668])).
2.81/0.72	thf(f3668,plain,(
2.81/0.72	  ($false = (sK9 @ sK46 @ sK47)) | ~spl0_13),
2.81/0.72	  inference(boolean_simplification,[],[f3667])).
2.81/0.72	thf(f3667,plain,(
2.81/0.72	  ($false = ($true => (sK9 @ sK46 @ sK47))) | ~spl0_13),
2.81/0.72	  inference(backward_demodulation,[],[f3653,f3666])).
2.81/0.72	thf(f3666,plain,(
2.81/0.72	  ($true = (sK4 @ sK46 @ sK47)) | ~spl0_13),
2.81/0.72	  inference(binary_proxy_clausification,[],[f3653])).
2.81/0.72	thf(f3653,plain,(
2.81/0.72	  ($false = ((sK4 @ sK46 @ sK47) => (sK9 @ sK46 @ sK47))) | ~spl0_13),
2.81/0.72	  inference(beta_eta_normalization,[],[f3652])).
2.81/0.72	thf(f3652,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: ((sK4 @ sK46 @ Y0) => (sK9 @ sK46 @ Y0))) @ sK47)) | ~spl0_13),
2.81/0.72	  inference(sigma_clausification,[],[f3642])).
2.81/0.72	thf(f3642,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: ((sK4 @ sK46 @ Y0) => (sK9 @ sK46 @ Y0))))) | ~spl0_13),
2.81/0.72	  inference(beta_eta_normalization,[],[f3640])).
2.81/0.72	thf(f3640,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK4 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1))))) @ sK46)) | ~spl0_13),
2.81/0.72	  inference(sigma_clausification,[],[f453])).
2.81/0.72	thf(f453,plain,(
2.81/0.72	  ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK4 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1)))))) = $false) | ~spl0_13),
2.81/0.72	  inference(avatar_component_clause,[],[f452])).
2.81/0.72	thf(f452,plain,(
2.81/0.72	  spl0_13 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK4 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1)))))) = $false)),
2.81/0.72	  introduced(avatar_definition,[new_symbols(naming,[spl0_13])])).
2.81/0.72	thf(f3774,plain,(
2.81/0.72	  ($true = (sK9 @ sK46 @ sK47)) | (~spl0_2 | ~spl0_4 | ~spl0_13)),
2.81/0.72	  inference(boolean_simplification,[],[f3773])).
2.81/0.72	thf(f3773,plain,(
2.81/0.72	  ($true = ($true => (sK9 @ sK46 @ sK47))) | (~spl0_2 | ~spl0_4 | ~spl0_13)),
2.81/0.72	  inference(boolean_simplification,[],[f3761])).
2.81/0.72	thf(f3761,plain,(
2.81/0.72	  ($true = (($true | (sK3 @ sK46 @ sK47)) => (sK9 @ sK46 @ sK47))) | (~spl0_2 | ~spl0_4 | ~spl0_13)),
2.81/0.72	  inference(superposition,[],[f3702,f3666])).
2.81/0.72	thf(f3702,plain,(
2.81/0.72	  ( ! [X2 : a,X1 : a] : (($true = (((sK4 @ X1 @ X2) | (sK3 @ X1 @ X2)) => (sK9 @ X1 @ X2)))) ) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(beta_eta_normalization,[],[f3701])).
2.81/0.72	thf(f3701,plain,(
2.81/0.72	  ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: (((sK4 @ X1 @ Y0) | (sK3 @ X1 @ Y0)) => (sK9 @ X1 @ Y0))) @ X2))) ) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(pi_clausification,[],[f3688])).
2.81/0.72	thf(f3688,plain,(
2.81/0.72	  ( ! [X1 : a] : (((!! @ a @ (^[Y0 : a]: (((sK4 @ X1 @ Y0) | (sK3 @ X1 @ Y0)) => (sK9 @ X1 @ Y0)))) = $true)) ) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(beta_eta_normalization,[],[f3687])).
2.81/0.72	thf(f3687,plain,(
2.81/0.72	  ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK9 @ Y0 @ Y1))))) @ X1))) ) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(pi_clausification,[],[f3474])).
2.81/0.72	thf(f3474,plain,(
2.81/0.72	  ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK9 @ Y0 @ Y1))))))) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(binary_proxy_clausification,[],[f3468])).
2.81/0.72	thf(f3468,plain,(
2.81/0.72	  (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK9 @ Y0 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y2) & (sK9 @ Y1 @ Y0)) => (sK9 @ Y1 @ Y2))))))))) = $true) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(binary_proxy_clausification,[],[f3458])).
2.81/0.72	thf(f3458,plain,(
2.81/0.72	  ($false = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK9 @ Y0 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y2) & (sK9 @ Y1 @ Y0)) => (sK9 @ Y1 @ Y2))))))))) => (sK9 @ sK7 @ sK8))) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(beta_eta_normalization,[],[f3457])).
2.81/0.72	thf(f3457,plain,(
2.81/0.72	  ($false = ((^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8))) @ sK9)) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(sigma_clausification,[],[f3454])).
2.81/0.72	thf(f3454,plain,(
2.81/0.72	  ($false = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8))))) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(boolean_simplification,[],[f3453])).
2.81/0.72	thf(f3453,plain,(
2.81/0.72	  (($true => (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8))))) = $false) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(boolean_simplification,[],[f3452])).
2.81/0.72	thf(f3452,plain,(
2.81/0.72	  ($false = (($true | (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8))))) => (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8)))))) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(forward_demodulation,[],[f3451,f119])).
2.81/0.72	thf(f119,plain,(
2.81/0.72	  ($true = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK4 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8))))) | ~spl0_4),
2.81/0.72	  inference(avatar_component_clause,[],[f118])).
2.81/0.72	thf(f118,plain,(
2.81/0.72	  spl0_4 <=> ($true = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK4 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8)))))),
2.81/0.72	  introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
2.81/0.72	thf(f3451,plain,(
2.81/0.72	  ($false = (((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK4 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8)))) | (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8))))) => (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8)))))) | ~spl0_2),
2.81/0.72	  inference(beta_eta_normalization,[],[f3450])).
2.81/0.72	thf(f3450,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (((!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y4 @ Y2) & (Y1 @ Y3 @ Y4)) => (Y1 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK4 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK7 @ Y0)))) | (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y2 @ Y3) & (Y1 @ Y4 @ Y2)) => (Y1 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK7 @ Y0))))) => (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) => (Y1 @ Y2 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y3 @ Y2)) => (Y1 @ Y3 @ Y4))))))))) => (Y1 @ sK7 @ Y0)))))) @ sK8)) | ~spl0_2),
2.81/0.72	  inference(sigma_clausification,[],[f3447])).
2.81/0.72	thf(f3447,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (((!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y4 @ Y2) & (Y1 @ Y3 @ Y4)) => (Y1 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK4 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK7 @ Y0)))) | (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y2 @ Y3) & (Y1 @ Y4 @ Y2)) => (Y1 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK7 @ Y0))))) => (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) => (Y1 @ Y2 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y3 @ Y2)) => (Y1 @ Y3 @ Y4))))))))) => (Y1 @ sK7 @ Y0)))))))) | ~spl0_2),
2.81/0.72	  inference(beta_eta_normalization,[],[f3446])).
2.81/0.72	thf(f3446,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK4 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ Y1)))) | (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y5 @ Y3)) => (Y2 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK3 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ Y1))))) => (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y4 @ Y3)) => (Y2 @ Y4 @ Y5))))))))) => (Y2 @ Y0 @ Y1)))))))) @ sK7)) | ~spl0_2),
2.81/0.72	  inference(sigma_clausification,[],[f55])).
2.81/0.72	thf(f55,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK4 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ Y1)))) | (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y5 @ Y3)) => (Y2 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK3 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ Y1))))) => (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y4 @ Y3)) => (Y2 @ Y4 @ Y5))))))))) => (Y2 @ Y0 @ Y1)))))))))) | ~spl0_2),
2.81/0.72	  inference(avatar_component_clause,[],[f54])).
2.81/0.72	thf(f54,plain,(
2.81/0.72	  spl0_2 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK4 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ Y1)))) | (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y5 @ Y3)) => (Y2 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK3 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ Y1))))) => (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y4 @ Y3)) => (Y2 @ Y4 @ Y5))))))))) => (Y2 @ Y0 @ Y1))))))))))),
2.81/0.72	  introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
2.81/0.72	thf(f3620,plain,(
2.81/0.72	  ~spl0_2 | ~spl0_4 | ~spl0_14),
2.81/0.72	  inference(avatar_contradiction_clause,[],[f3619])).
2.81/0.72	thf(f3619,plain,(
2.81/0.72	  $false | (~spl0_2 | ~spl0_4 | ~spl0_14)),
2.81/0.72	  inference(trivial_inequality_removal,[],[f3618])).
2.81/0.72	thf(f3618,plain,(
2.81/0.72	  ($false = $true) | (~spl0_2 | ~spl0_4 | ~spl0_14)),
2.81/0.72	  inference(forward_demodulation,[],[f3611,f3254])).
2.81/0.72	thf(f3254,plain,(
2.81/0.72	  ((sK9 @ sK39 @ sK38) = $false) | ~spl0_14),
2.81/0.72	  inference(binary_proxy_clausification,[],[f3243])).
2.81/0.72	thf(f3243,plain,(
2.81/0.72	  ($false = (((sK9 @ sK40 @ sK38) & (sK9 @ sK39 @ sK40)) => (sK9 @ sK39 @ sK38))) | ~spl0_14),
2.81/0.72	  inference(beta_eta_normalization,[],[f3242])).
2.81/0.72	thf(f3242,plain,(
2.81/0.72	  (((^[Y0 : a]: (((sK9 @ Y0 @ sK38) & (sK9 @ sK39 @ Y0)) => (sK9 @ sK39 @ sK38))) @ sK40) = $false) | ~spl0_14),
2.81/0.72	  inference(sigma_clausification,[],[f3222])).
2.81/0.72	thf(f3222,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (((sK9 @ Y0 @ sK38) & (sK9 @ sK39 @ Y0)) => (sK9 @ sK39 @ sK38))))) | ~spl0_14),
2.81/0.72	  inference(beta_eta_normalization,[],[f3221])).
2.81/0.72	thf(f3221,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK9 @ Y1 @ sK38) & (sK9 @ Y0 @ Y1)) => (sK9 @ Y0 @ sK38))))) @ sK39)) | ~spl0_14),
2.81/0.72	  inference(sigma_clausification,[],[f3212])).
2.81/0.72	thf(f3212,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK9 @ Y1 @ sK38) & (sK9 @ Y0 @ Y1)) => (sK9 @ Y0 @ sK38))))))) | ~spl0_14),
2.81/0.72	  inference(beta_eta_normalization,[],[f3211])).
2.81/0.72	thf(f3211,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y2 @ Y0) & (sK9 @ Y1 @ Y2)) => (sK9 @ Y1 @ Y0))))))) @ sK38)) | ~spl0_14),
2.81/0.72	  inference(sigma_clausification,[],[f456])).
2.81/0.72	thf(f456,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y2 @ Y0) & (sK9 @ Y1 @ Y2)) => (sK9 @ Y1 @ Y0))))))))) | ~spl0_14),
2.81/0.72	  inference(avatar_component_clause,[],[f455])).
2.81/0.72	thf(f455,plain,(
2.81/0.72	  spl0_14 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y2 @ Y0) & (sK9 @ Y1 @ Y2)) => (sK9 @ Y1 @ Y0)))))))))),
2.81/0.72	  introduced(avatar_definition,[new_symbols(naming,[spl0_14])])).
2.81/0.72	thf(f3611,plain,(
2.81/0.72	  ((sK9 @ sK39 @ sK38) = $true) | (~spl0_2 | ~spl0_4 | ~spl0_14)),
2.81/0.72	  inference(boolean_simplification,[],[f3609])).
2.81/0.72	thf(f3609,plain,(
2.81/0.72	  (($true => (sK9 @ sK39 @ sK38)) = $true) | (~spl0_2 | ~spl0_4 | ~spl0_14)),
2.81/0.72	  inference(superposition,[],[f3530,f3272])).
2.81/0.72	thf(f3272,plain,(
2.81/0.72	  ((sK9 @ sK41 @ sK38) = $true) | ~spl0_14),
2.81/0.72	  inference(binary_proxy_clausification,[],[f3268])).
2.81/0.72	thf(f3268,plain,(
2.81/0.72	  ($true = ((sK9 @ sK41 @ sK38) & (sK9 @ sK39 @ sK41))) | ~spl0_14),
2.81/0.72	  inference(not_proxy_clausification,[],[f3263])).
2.81/0.72	thf(f3263,plain,(
2.81/0.72	  ($false = (~ ((sK9 @ sK41 @ sK38) & (sK9 @ sK39 @ sK41)))) | ~spl0_14),
2.81/0.72	  inference(beta_eta_normalization,[],[f3262])).
2.81/0.72	thf(f3262,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (~ ((sK9 @ Y0 @ sK38) & (sK9 @ sK39 @ Y0)))) @ sK41)) | ~spl0_14),
2.81/0.72	  inference(sigma_clausification,[],[f3258])).
2.81/0.72	thf(f3258,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (~ ((sK9 @ Y0 @ sK38) & (sK9 @ sK39 @ Y0)))))) | ~spl0_14),
2.81/0.72	  inference(boolean_simplification,[],[f3257])).
2.81/0.72	thf(f3257,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (((sK9 @ Y0 @ sK38) & (sK9 @ sK39 @ Y0)) => $false)))) | ~spl0_14),
2.81/0.72	  inference(backward_demodulation,[],[f3222,f3254])).
2.81/0.72	thf(f3530,plain,(
2.81/0.72	  ( ! [X0 : a] : (($true = ((sK9 @ sK41 @ X0) => (sK9 @ sK39 @ X0)))) ) | (~spl0_2 | ~spl0_4 | ~spl0_14)),
2.81/0.72	  inference(boolean_simplification,[],[f3519])).
2.81/0.72	thf(f3519,plain,(
2.81/0.72	  ( ! [X0 : a] : (((((sK9 @ sK41 @ X0) & $true) => (sK9 @ sK39 @ X0)) = $true)) ) | (~spl0_2 | ~spl0_4 | ~spl0_14)),
2.81/0.72	  inference(superposition,[],[f3498,f3274])).
2.81/0.72	thf(f3274,plain,(
2.81/0.72	  ($true = (sK9 @ sK39 @ sK41)) | ~spl0_14),
2.81/0.72	  inference(boolean_simplification,[],[f3273])).
2.81/0.72	thf(f3273,plain,(
2.81/0.72	  ($true = ($true & (sK9 @ sK39 @ sK41))) | ~spl0_14),
2.81/0.72	  inference(backward_demodulation,[],[f3268,f3272])).
2.81/0.72	thf(f3498,plain,(
2.81/0.72	  ( ! [X2 : a,X3 : a,X1 : a] : (((((sK9 @ X1 @ X3) & (sK9 @ X2 @ X1)) => (sK9 @ X2 @ X3)) = $true)) ) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(beta_eta_normalization,[],[f3497])).
2.81/0.72	thf(f3497,plain,(
2.81/0.72	  ( ! [X2 : a,X3 : a,X1 : a] : (($true = ((^[Y0 : a]: (((sK9 @ X1 @ Y0) & (sK9 @ X2 @ X1)) => (sK9 @ X2 @ Y0))) @ X3))) ) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(pi_clausification,[],[f3490])).
2.81/0.72	thf(f3490,plain,(
2.81/0.72	  ( ! [X2 : a,X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: (((sK9 @ X1 @ Y0) & (sK9 @ X2 @ X1)) => (sK9 @ X2 @ Y0)))))) ) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(beta_eta_normalization,[],[f3489])).
2.81/0.72	thf(f3489,plain,(
2.81/0.72	  ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK9 @ X1 @ Y1) & (sK9 @ Y0 @ X1)) => (sK9 @ Y0 @ Y1))))) @ X2))) ) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(pi_clausification,[],[f3484])).
2.81/0.72	thf(f3484,plain,(
2.81/0.72	  ( ! [X1 : a] : (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK9 @ X1 @ Y1) & (sK9 @ Y0 @ X1)) => (sK9 @ Y0 @ Y1)))))) = $true)) ) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(beta_eta_normalization,[],[f3483])).
2.81/0.72	thf(f3483,plain,(
2.81/0.72	  ( ! [X1 : a] : ((((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y2) & (sK9 @ Y1 @ Y0)) => (sK9 @ Y1 @ Y2))))))) @ X1) = $true)) ) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(pi_clausification,[],[f3476])).
2.81/0.72	thf(f3476,plain,(
2.81/0.72	  ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y2) & (sK9 @ Y1 @ Y0)) => (sK9 @ Y1 @ Y2))))))))) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(boolean_simplification,[],[f3475])).
2.81/0.72	thf(f3475,plain,(
2.81/0.72	  ($true = ($true & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y2) & (sK9 @ Y1 @ Y0)) => (sK9 @ Y1 @ Y2)))))))))) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(backward_demodulation,[],[f3468,f3474])).
2.81/0.72	thf(f3441,plain,(
2.81/0.72	  ~spl0_10 | ~spl0_52),
2.81/0.72	  inference(avatar_contradiction_clause,[],[f3440])).
2.81/0.72	thf(f3440,plain,(
2.81/0.72	  $false | (~spl0_10 | ~spl0_52)),
2.81/0.72	  inference(trivial_inequality_removal,[],[f3439])).
2.81/0.72	thf(f3439,plain,(
2.81/0.72	  ($false = $true) | (~spl0_10 | ~spl0_52)),
2.81/0.72	  inference(boolean_simplification,[],[f3438])).
2.81/0.72	thf(f3438,plain,(
2.81/0.72	  ($true = (~ $true)) | (~spl0_10 | ~spl0_52)),
2.81/0.72	  inference(forward_demodulation,[],[f3431,f3399])).
2.81/0.72	thf(f3399,plain,(
2.81/0.72	  ((sK20 @ sK43 @ sK45) = $true) | ~spl0_52),
2.81/0.72	  inference(binary_proxy_clausification,[],[f3387])).
2.81/0.72	thf(f3387,plain,(
2.81/0.72	  ($true = ((sK20 @ sK43 @ sK45) & (sK20 @ sK45 @ sK42))) | ~spl0_52),
2.81/0.72	  inference(not_proxy_clausification,[],[f3382])).
2.81/0.72	thf(f3382,plain,(
2.81/0.72	  ($false = (~ ((sK20 @ sK43 @ sK45) & (sK20 @ sK45 @ sK42)))) | ~spl0_52),
2.81/0.72	  inference(beta_eta_normalization,[],[f3381])).
2.81/0.72	thf(f3381,plain,(
2.81/0.72	  (((^[Y0 : a]: (~ ((sK20 @ sK43 @ Y0) & (sK20 @ Y0 @ sK42)))) @ sK45) = $false) | ~spl0_52),
2.81/0.72	  inference(sigma_clausification,[],[f3367])).
2.81/0.72	thf(f3367,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (~ ((sK20 @ sK43 @ Y0) & (sK20 @ Y0 @ sK42)))))) | ~spl0_52),
2.81/0.72	  inference(boolean_simplification,[],[f3366])).
2.81/0.72	thf(f3366,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (((sK20 @ sK43 @ Y0) & (sK20 @ Y0 @ sK42)) => $false)))) | ~spl0_52),
2.81/0.72	  inference(backward_demodulation,[],[f3343,f3363])).
2.81/0.72	thf(f3363,plain,(
2.81/0.72	  ($false = (sK20 @ sK43 @ sK42)) | ~spl0_52),
2.81/0.72	  inference(binary_proxy_clausification,[],[f3348])).
2.81/0.72	thf(f3348,plain,(
2.81/0.72	  ($false = (((sK20 @ sK43 @ sK44) & (sK20 @ sK44 @ sK42)) => (sK20 @ sK43 @ sK42))) | ~spl0_52),
2.81/0.72	  inference(beta_eta_normalization,[],[f3347])).
2.81/0.72	thf(f3347,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (((sK20 @ sK43 @ Y0) & (sK20 @ Y0 @ sK42)) => (sK20 @ sK43 @ sK42))) @ sK44)) | ~spl0_52),
2.81/0.72	  inference(sigma_clausification,[],[f3343])).
2.81/0.72	thf(f3343,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (((sK20 @ sK43 @ Y0) & (sK20 @ Y0 @ sK42)) => (sK20 @ sK43 @ sK42))))) | ~spl0_52),
2.81/0.72	  inference(beta_eta_normalization,[],[f3342])).
2.81/0.72	thf(f3342,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK20 @ Y0 @ Y1) & (sK20 @ Y1 @ sK42)) => (sK20 @ Y0 @ sK42))))) @ sK43)) | ~spl0_52),
2.81/0.72	  inference(sigma_clausification,[],[f3327])).
2.81/0.72	thf(f3327,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK20 @ Y0 @ Y1) & (sK20 @ Y1 @ sK42)) => (sK20 @ Y0 @ sK42))))))) | ~spl0_52),
2.81/0.72	  inference(beta_eta_normalization,[],[f3323])).
2.81/0.72	thf(f3323,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y1 @ Y2) & (sK20 @ Y2 @ Y0)) => (sK20 @ Y1 @ Y0))))))) @ sK42)) | ~spl0_52),
2.81/0.72	  inference(sigma_clausification,[],[f3310])).
2.81/0.72	thf(f3310,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y1 @ Y2) & (sK20 @ Y2 @ Y0)) => (sK20 @ Y1 @ Y0))))))))) | ~spl0_52),
2.81/0.72	  inference(avatar_component_clause,[],[f3309])).
2.81/0.72	thf(f3309,plain,(
2.81/0.72	  spl0_52 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y1 @ Y2) & (sK20 @ Y2 @ Y0)) => (sK20 @ Y1 @ Y0)))))))))),
2.81/0.72	  introduced(avatar_definition,[new_symbols(naming,[spl0_52])])).
2.81/0.72	thf(f3431,plain,(
2.81/0.72	  ($true = (~ (sK20 @ sK43 @ sK45))) | (~spl0_10 | ~spl0_52)),
2.81/0.72	  inference(boolean_simplification,[],[f3427])).
2.81/0.72	thf(f3427,plain,(
2.81/0.72	  ($true = ((sK20 @ sK43 @ sK45) => $false)) | (~spl0_10 | ~spl0_52)),
2.81/0.72	  inference(superposition,[],[f3407,f3363])).
2.81/0.72	thf(f3407,plain,(
2.81/0.72	  ( ! [X0 : a] : (($true = ((sK20 @ X0 @ sK45) => (sK20 @ X0 @ sK42)))) ) | (~spl0_10 | ~spl0_52)),
2.81/0.72	  inference(boolean_simplification,[],[f3403])).
2.81/0.72	thf(f3403,plain,(
2.81/0.72	  ( ! [X0 : a] : (($true = (($true & (sK20 @ X0 @ sK45)) => (sK20 @ X0 @ sK42)))) ) | (~spl0_10 | ~spl0_52)),
2.81/0.72	  inference(superposition,[],[f2980,f3401])).
2.81/0.72	thf(f3401,plain,(
2.81/0.72	  ($true = (sK20 @ sK45 @ sK42)) | ~spl0_52),
2.81/0.72	  inference(boolean_simplification,[],[f3400])).
2.81/0.72	thf(f3400,plain,(
2.81/0.72	  ($true = ($true & (sK20 @ sK45 @ sK42))) | ~spl0_52),
2.81/0.72	  inference(backward_demodulation,[],[f3387,f3399])).
2.81/0.72	thf(f2980,plain,(
2.81/0.72	  ( ! [X2 : a,X3 : a,X1 : a] : (($true = (((sK20 @ X3 @ X1) & (sK20 @ X2 @ X3)) => (sK20 @ X2 @ X1)))) ) | ~spl0_10),
2.81/0.72	  inference(beta_eta_normalization,[],[f2979])).
2.81/0.72	thf(f2979,plain,(
2.81/0.72	  ( ! [X2 : a,X3 : a,X1 : a] : (($true = ((^[Y0 : a]: (((sK20 @ Y0 @ X1) & (sK20 @ X2 @ Y0)) => (sK20 @ X2 @ X1))) @ X3))) ) | ~spl0_10),
2.81/0.72	  inference(pi_clausification,[],[f2972])).
2.81/0.72	thf(f2972,plain,(
2.81/0.72	  ( ! [X2 : a,X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: (((sK20 @ Y0 @ X1) & (sK20 @ X2 @ Y0)) => (sK20 @ X2 @ X1)))))) ) | ~spl0_10),
2.81/0.72	  inference(beta_eta_normalization,[],[f2971])).
2.81/0.72	thf(f2971,plain,(
2.81/0.72	  ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK20 @ Y1 @ X1) & (sK20 @ Y0 @ Y1)) => (sK20 @ Y0 @ X1))))) @ X2))) ) | ~spl0_10),
2.81/0.72	  inference(pi_clausification,[],[f2964])).
2.81/0.72	thf(f2964,plain,(
2.81/0.72	  ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK20 @ Y1 @ X1) & (sK20 @ Y0 @ Y1)) => (sK20 @ Y0 @ X1)))))))) ) | ~spl0_10),
2.81/0.72	  inference(beta_eta_normalization,[],[f2963])).
2.81/0.72	thf(f2963,plain,(
2.81/0.72	  ( ! [X1 : a] : ((((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y2 @ Y0) & (sK20 @ Y1 @ Y2)) => (sK20 @ Y1 @ Y0))))))) @ X1) = $true)) ) | ~spl0_10),
2.81/0.72	  inference(pi_clausification,[],[f2957])).
2.81/0.72	thf(f2957,plain,(
2.81/0.72	  ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y2 @ Y0) & (sK20 @ Y1 @ Y2)) => (sK20 @ Y1 @ Y0)))))))) = $true) | ~spl0_10),
2.81/0.72	  inference(boolean_simplification,[],[f2956])).
2.81/0.72	thf(f2956,plain,(
2.81/0.72	  ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y2 @ Y0) & (sK20 @ Y1 @ Y2)) => (sK20 @ Y1 @ Y0)))))))) & $true)) | ~spl0_10),
2.81/0.72	  inference(backward_demodulation,[],[f2951,f2954])).
2.81/0.72	thf(f2954,plain,(
2.81/0.72	  ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y1 @ Y0) | (sK3 @ Y1 @ Y0)) => (sK20 @ Y1 @ Y0))))))) | ~spl0_10),
2.81/0.72	  inference(binary_proxy_clausification,[],[f2951])).
2.81/0.72	thf(f2951,plain,(
2.81/0.72	  ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y2 @ Y0) & (sK20 @ Y1 @ Y2)) => (sK20 @ Y1 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y1 @ Y0) | (sK3 @ Y1 @ Y0)) => (sK20 @ Y1 @ Y0)))))))) | ~spl0_10),
2.81/0.72	  inference(binary_proxy_clausification,[],[f2943])).
2.81/0.72	thf(f2943,plain,(
2.81/0.72	  ($false = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y2 @ Y0) & (sK20 @ Y1 @ Y2)) => (sK20 @ Y1 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y1 @ Y0) | (sK3 @ Y1 @ Y0)) => (sK20 @ Y1 @ Y0))))))) => (sK20 @ sK19 @ sK15))) | ~spl0_10),
2.81/0.72	  inference(beta_eta_normalization,[],[f2942])).
2.81/0.72	thf(f2942,plain,(
2.81/0.72	  ($false = ((^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y2 @ Y1) | (sK3 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ sK19 @ sK15))) @ sK20)) | ~spl0_10),
2.81/0.72	  inference(sigma_clausification,[],[f2935])).
2.81/0.72	thf(f2935,plain,(
2.81/0.72	  ($false = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y2 @ Y1) | (sK3 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ sK19 @ sK15))))) | ~spl0_10),
2.81/0.72	  inference(boolean_simplification,[],[f2934])).
2.81/0.72	thf(f2934,plain,(
2.81/0.72	  ($false = ($true => (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y2 @ Y1) | (sK3 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ sK19 @ sK15)))))) | ~spl0_10),
2.81/0.72	  inference(backward_demodulation,[],[f2925,f2933])).
2.81/0.72	thf(f2933,plain,(
2.81/0.72	  (((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK17 @ sK15)))) & (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK19 @ sK17))))) = $true) | ~spl0_10),
2.81/0.72	  inference(binary_proxy_clausification,[],[f2925])).
2.81/0.72	thf(f2925,plain,(
2.81/0.72	  ($false = (((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK17 @ sK15)))) & (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK19 @ sK17))))) => (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y2 @ Y1) | (sK3 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ sK19 @ sK15)))))) | ~spl0_10),
2.81/0.72	  inference(beta_eta_normalization,[],[f2924])).
2.81/0.72	thf(f2924,plain,(
2.81/0.72	  (((^[Y0 : a]: (((!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y4 @ Y3) & (Y1 @ Y2 @ Y4)) => (Y1 @ Y2 @ Y3)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK17 @ sK15)))) & (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y3 @ Y4) & (Y1 @ Y4 @ Y2)) => (Y1 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ Y0 @ sK17))))) => (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y4 @ Y2) & (Y1 @ Y3 @ Y4)) => (Y1 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y3 @ Y2) | (sK3 @ Y3 @ Y2)) => (Y1 @ Y3 @ Y2))))))) => (Y1 @ Y0 @ sK15)))))) @ sK19) = $false) | ~spl0_10),
2.81/0.72	  inference(sigma_clausification,[],[f2918])).
2.81/0.72	thf(f2918,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (((!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y4 @ Y3) & (Y1 @ Y2 @ Y4)) => (Y1 @ Y2 @ Y3)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK17 @ sK15)))) & (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y3 @ Y4) & (Y1 @ Y4 @ Y2)) => (Y1 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ Y0 @ sK17))))) => (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y4 @ Y2) & (Y1 @ Y3 @ Y4)) => (Y1 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y3 @ Y2) | (sK3 @ Y3 @ Y2)) => (Y1 @ Y3 @ Y2))))))) => (Y1 @ Y0 @ sK15)))))))) | ~spl0_10),
2.81/0.72	  inference(beta_eta_normalization,[],[f2917])).
2.81/0.72	thf(f2917,plain,(
2.81/0.72	  (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ sK15)))) & (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y4 @ Y5) & (Y2 @ Y5 @ Y3)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y1 @ Y0))))) => (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y4 @ Y3) | (sK3 @ Y4 @ Y3)) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y1 @ sK15)))))))) @ sK17) = $false) | ~spl0_10),
2.81/0.72	  inference(sigma_clausification,[],[f2891])).
2.81/0.72	thf(f2891,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ sK15)))) & (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y4 @ Y5) & (Y2 @ Y5 @ Y3)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y1 @ Y0))))) => (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y4 @ Y3) | (sK3 @ Y4 @ Y3)) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y1 @ sK15)))))))))) | ~spl0_10),
2.81/0.72	  inference(beta_eta_normalization,[],[f2890])).
2.81/0.72	thf(f2890,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y5) & (Y3 @ Y4 @ Y6)) => (Y3 @ Y4 @ Y5)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y1 @ Y0)))) & (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y5 @ Y6) & (Y3 @ Y6 @ Y4)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y2 @ Y1))))) => (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y4) & (Y3 @ Y5 @ Y6)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y5 @ Y4) | (sK3 @ Y5 @ Y4)) => (Y3 @ Y5 @ Y4))))))) => (Y3 @ Y2 @ Y0)))))))))) @ sK15)) | ~spl0_10),
2.81/0.72	  inference(sigma_clausification,[],[f261])).
2.81/0.72	thf(f261,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y5) & (Y3 @ Y4 @ Y6)) => (Y3 @ Y4 @ Y5)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y1 @ Y0)))) & (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y5 @ Y6) & (Y3 @ Y6 @ Y4)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y2 @ Y1))))) => (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y4) & (Y3 @ Y5 @ Y6)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y5 @ Y4) | (sK3 @ Y5 @ Y4)) => (Y3 @ Y5 @ Y4))))))) => (Y3 @ Y2 @ Y0)))))))))))) | ~spl0_10),
2.81/0.72	  inference(avatar_component_clause,[],[f260])).
2.81/0.72	thf(f260,plain,(
2.81/0.72	  spl0_10 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y5) & (Y3 @ Y4 @ Y6)) => (Y3 @ Y4 @ Y5)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y1 @ Y0)))) & (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y5 @ Y6) & (Y3 @ Y6 @ Y4)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y2 @ Y1))))) => (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y4) & (Y3 @ Y5 @ Y6)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y5 @ Y4) | (sK3 @ Y5 @ Y4)) => (Y3 @ Y5 @ Y4))))))) => (Y3 @ Y2 @ Y0))))))))))))),
2.81/0.72	  introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
2.81/0.72	thf(f3311,plain,(
2.81/0.72	  spl0_52 | spl0_45 | ~spl0_44),
2.81/0.72	  inference(avatar_split_clause,[],[f3305,f2020,f2138,f3309])).
2.81/0.72	thf(f2138,plain,(
2.81/0.72	  spl0_45 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK20 @ Y0 @ Y1)))))))),
2.81/0.72	  introduced(avatar_definition,[new_symbols(naming,[spl0_45])])).
2.81/0.72	thf(f2020,plain,(
2.81/0.72	  spl0_44 <=> ($true = (~ ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y1 @ Y2) & (sK20 @ Y2 @ Y0)) => (sK20 @ Y1 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK20 @ Y0 @ Y1)))))))))),
2.81/0.72	  introduced(avatar_definition,[new_symbols(naming,[spl0_44])])).
2.81/0.72	thf(f3305,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK20 @ Y0 @ Y1))))))) | ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y1 @ Y2) & (sK20 @ Y2 @ Y0)) => (sK20 @ Y1 @ Y0))))))))) | ~spl0_44),
2.81/0.72	  inference(binary_proxy_clausification,[],[f3290])).
2.81/0.72	thf(f3290,plain,(
2.81/0.72	  ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y1 @ Y2) & (sK20 @ Y2 @ Y0)) => (sK20 @ Y1 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK20 @ Y0 @ Y1)))))))) | ~spl0_44),
2.81/0.72	  inference(not_proxy_clausification,[],[f2021])).
2.81/0.72	thf(f2021,plain,(
2.81/0.72	  ($true = (~ ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y1 @ Y2) & (sK20 @ Y2 @ Y0)) => (sK20 @ Y1 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK20 @ Y0 @ Y1))))))))) | ~spl0_44),
2.81/0.72	  inference(avatar_component_clause,[],[f2020])).
2.81/0.72	thf(f2767,plain,(
2.81/0.72	  ~spl0_2 | ~spl0_3 | ~spl0_6),
2.81/0.72	  inference(avatar_contradiction_clause,[],[f2766])).
2.81/0.72	thf(f2766,plain,(
2.81/0.72	  $false | (~spl0_2 | ~spl0_3 | ~spl0_6)),
2.81/0.72	  inference(trivial_inequality_removal,[],[f2763])).
2.81/0.72	thf(f2763,plain,(
2.81/0.72	  ($false = $true) | (~spl0_2 | ~spl0_3 | ~spl0_6)),
2.81/0.72	  inference(superposition,[],[f2436,f2752])).
2.81/0.72	thf(f2752,plain,(
2.81/0.72	  ($false = (((sK9 @ sK35 @ sK36) & (sK9 @ sK37 @ sK35)) => (sK9 @ sK37 @ sK36))) | ~spl0_6),
2.81/0.72	  inference(beta_eta_normalization,[],[f2751])).
2.81/0.72	thf(f2751,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (((sK9 @ sK35 @ sK36) & (sK9 @ Y0 @ sK35)) => (sK9 @ Y0 @ sK36))) @ sK37)) | ~spl0_6),
2.81/0.72	  inference(sigma_clausification,[],[f2725])).
2.81/0.72	thf(f2725,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (((sK9 @ sK35 @ sK36) & (sK9 @ Y0 @ sK35)) => (sK9 @ Y0 @ sK36))))) | ~spl0_6),
2.81/0.72	  inference(beta_eta_normalization,[],[f2724])).
2.81/0.72	thf(f2724,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK9 @ sK35 @ Y0) & (sK9 @ Y1 @ sK35)) => (sK9 @ Y1 @ Y0))))) @ sK36)) | ~spl0_6),
2.81/0.72	  inference(sigma_clausification,[],[f2710])).
2.81/0.72	thf(f2710,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK9 @ sK35 @ Y0) & (sK9 @ Y1 @ sK35)) => (sK9 @ Y1 @ Y0))))))) | ~spl0_6),
2.81/0.72	  inference(beta_eta_normalization,[],[f2706])).
2.81/0.72	thf(f2706,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y1) & (sK9 @ Y2 @ Y0)) => (sK9 @ Y2 @ Y1))))))) @ sK35)) | ~spl0_6),
2.81/0.72	  inference(sigma_clausification,[],[f225])).
2.81/0.72	thf(f225,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y1) & (sK9 @ Y2 @ Y0)) => (sK9 @ Y2 @ Y1))))))))) | ~spl0_6),
2.81/0.72	  inference(avatar_component_clause,[],[f224])).
2.81/0.72	thf(f224,plain,(
2.81/0.72	  spl0_6 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y1) & (sK9 @ Y2 @ Y0)) => (sK9 @ Y2 @ Y1)))))))))),
2.81/0.72	  introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
2.81/0.72	thf(f2436,plain,(
2.81/0.72	  ( ! [X2 : a,X3 : a,X1 : a] : (((((sK9 @ X1 @ X3) & (sK9 @ X2 @ X1)) => (sK9 @ X2 @ X3)) = $true)) ) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(beta_eta_normalization,[],[f2435])).
2.81/0.72	thf(f2435,plain,(
2.81/0.72	  ( ! [X2 : a,X3 : a,X1 : a] : (($true = ((^[Y0 : a]: (((sK9 @ X1 @ Y0) & (sK9 @ X2 @ X1)) => (sK9 @ X2 @ Y0))) @ X3))) ) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(pi_clausification,[],[f2428])).
2.81/0.72	thf(f2428,plain,(
2.81/0.72	  ( ! [X2 : a,X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: (((sK9 @ X1 @ Y0) & (sK9 @ X2 @ X1)) => (sK9 @ X2 @ Y0)))))) ) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(beta_eta_normalization,[],[f2427])).
2.81/0.72	thf(f2427,plain,(
2.81/0.72	  ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK9 @ X1 @ Y1) & (sK9 @ Y0 @ X1)) => (sK9 @ Y0 @ Y1))))) @ X2))) ) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(pi_clausification,[],[f2423])).
2.81/0.72	thf(f2423,plain,(
2.81/0.72	  ( ! [X1 : a] : (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK9 @ X1 @ Y1) & (sK9 @ Y0 @ X1)) => (sK9 @ Y0 @ Y1)))))) = $true)) ) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(beta_eta_normalization,[],[f2422])).
2.81/0.72	thf(f2422,plain,(
2.81/0.72	  ( ! [X1 : a] : ((((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y2) & (sK9 @ Y1 @ Y0)) => (sK9 @ Y1 @ Y2))))))) @ X1) = $true)) ) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(pi_clausification,[],[f2405])).
2.81/0.72	thf(f2405,plain,(
2.81/0.72	  ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y2) & (sK9 @ Y1 @ Y0)) => (sK9 @ Y1 @ Y2))))))))) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(boolean_simplification,[],[f2404])).
2.81/0.72	thf(f2404,plain,(
2.81/0.72	  ($true = ($true & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y2) & (sK9 @ Y1 @ Y0)) => (sK9 @ Y1 @ Y2)))))))))) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(backward_demodulation,[],[f2397,f2403])).
2.81/0.72	thf(f2403,plain,(
2.81/0.72	  ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK9 @ Y0 @ Y1))))))) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(binary_proxy_clausification,[],[f2397])).
2.81/0.72	thf(f2397,plain,(
2.81/0.72	  (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK9 @ Y0 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y2) & (sK9 @ Y1 @ Y0)) => (sK9 @ Y1 @ Y2))))))))) = $true) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(binary_proxy_clausification,[],[f2373])).
2.81/0.72	thf(f2373,plain,(
2.81/0.72	  ($false = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK9 @ Y0 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y2) & (sK9 @ Y1 @ Y0)) => (sK9 @ Y1 @ Y2))))))))) => (sK9 @ sK7 @ sK8))) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(beta_eta_normalization,[],[f2372])).
2.81/0.72	thf(f2372,plain,(
2.81/0.72	  ($false = ((^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8))) @ sK9)) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(sigma_clausification,[],[f2363])).
2.81/0.72	thf(f2363,plain,(
2.81/0.72	  ($false = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8))))) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(boolean_simplification,[],[f2362])).
2.81/0.72	thf(f2362,plain,(
2.81/0.72	  (($true => (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8))))) = $false) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(boolean_simplification,[],[f2361])).
2.81/0.72	thf(f2361,plain,(
2.81/0.72	  ($false = (((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK4 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8)))) | $true) => (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8)))))) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(forward_demodulation,[],[f2360,f116])).
2.81/0.72	thf(f116,plain,(
2.81/0.72	  ($true = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8))))) | ~spl0_3),
2.81/0.72	  inference(avatar_component_clause,[],[f115])).
2.81/0.72	thf(f115,plain,(
2.81/0.72	  spl0_3 <=> ($true = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8)))))),
2.81/0.72	  introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
2.81/0.72	thf(f2360,plain,(
2.81/0.72	  ($false = (((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK4 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8)))) | (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8))))) => (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8)))))) | ~spl0_2),
2.81/0.72	  inference(beta_eta_normalization,[],[f2359])).
2.81/0.72	thf(f2359,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (((!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y4 @ Y2) & (Y1 @ Y3 @ Y4)) => (Y1 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK4 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK7 @ Y0)))) | (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y2 @ Y3) & (Y1 @ Y4 @ Y2)) => (Y1 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK7 @ Y0))))) => (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) => (Y1 @ Y2 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y3 @ Y2)) => (Y1 @ Y3 @ Y4))))))))) => (Y1 @ sK7 @ Y0)))))) @ sK8)) | ~spl0_2),
2.81/0.72	  inference(sigma_clausification,[],[f2342])).
2.81/0.72	thf(f2342,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (((!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y4 @ Y2) & (Y1 @ Y3 @ Y4)) => (Y1 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK4 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK7 @ Y0)))) | (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y2 @ Y3) & (Y1 @ Y4 @ Y2)) => (Y1 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK7 @ Y0))))) => (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) => (Y1 @ Y2 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y3 @ Y2)) => (Y1 @ Y3 @ Y4))))))))) => (Y1 @ sK7 @ Y0)))))))) | ~spl0_2),
2.81/0.72	  inference(beta_eta_normalization,[],[f2341])).
2.81/0.72	thf(f2341,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK4 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ Y1)))) | (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y5 @ Y3)) => (Y2 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK3 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ Y1))))) => (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y4 @ Y3)) => (Y2 @ Y4 @ Y5))))))))) => (Y2 @ Y0 @ Y1)))))))) @ sK7)) | ~spl0_2),
2.81/0.72	  inference(sigma_clausification,[],[f55])).
2.81/0.72	thf(f2338,plain,(
2.81/0.72	  ~spl0_31 | ~spl0_34),
2.81/0.72	  inference(avatar_contradiction_clause,[],[f2337])).
2.81/0.72	thf(f2337,plain,(
2.81/0.72	  $false | (~spl0_31 | ~spl0_34)),
2.81/0.72	  inference(trivial_inequality_removal,[],[f2336])).
2.81/0.72	thf(f2336,plain,(
2.81/0.72	  ($false = $true) | (~spl0_31 | ~spl0_34)),
2.81/0.72	  inference(boolean_simplification,[],[f2335])).
2.81/0.72	thf(f2335,plain,(
2.81/0.72	  ($true = (~ $true)) | (~spl0_31 | ~spl0_34)),
2.81/0.72	  inference(boolean_simplification,[],[f2334])).
2.81/0.72	thf(f2334,plain,(
2.81/0.72	  ($true = (~ ($true | (sK3 @ sK26 @ sK25)))) | (~spl0_31 | ~spl0_34)),
2.81/0.72	  inference(forward_demodulation,[],[f2327,f1146])).
2.81/0.72	thf(f1146,plain,(
2.81/0.72	  ((sK4 @ sK26 @ sK25) = $true) | ~spl0_34),
2.81/0.72	  inference(avatar_component_clause,[],[f1145])).
2.81/0.72	thf(f1145,plain,(
2.81/0.72	  spl0_34 <=> ((sK4 @ sK26 @ sK25) = $true)),
2.81/0.72	  introduced(avatar_definition,[new_symbols(naming,[spl0_34])])).
2.81/0.72	thf(f2327,plain,(
2.81/0.72	  ($true = (~ ((sK4 @ sK26 @ sK25) | (sK3 @ sK26 @ sK25)))) | (~spl0_31 | ~spl0_34)),
2.81/0.72	  inference(boolean_simplification,[],[f2322])).
2.81/0.72	thf(f2322,plain,(
2.81/0.72	  ((((sK4 @ sK26 @ sK25) | (sK3 @ sK26 @ sK25)) => $false) = $true) | (~spl0_31 | ~spl0_34)),
2.81/0.72	  inference(superposition,[],[f88,f2315])).
2.81/0.72	thf(f2315,plain,(
2.81/0.72	  ($false = (sK6 @ sK26 @ sK25)) | (~spl0_31 | ~spl0_34)),
2.81/0.72	  inference(boolean_simplification,[],[f2314])).
2.81/0.72	thf(f2314,plain,(
2.81/0.72	  ($false = ($true => (sK6 @ sK26 @ sK25))) | (~spl0_31 | ~spl0_34)),
2.81/0.72	  inference(boolean_simplification,[],[f2313])).
2.81/0.72	thf(f2313,plain,(
2.81/0.72	  ($false = (((sK3 @ sK26 @ sK25) | $true) => (sK6 @ sK26 @ sK25))) | (~spl0_31 | ~spl0_34)),
2.81/0.72	  inference(forward_demodulation,[],[f2306,f1146])).
2.81/0.72	thf(f2306,plain,(
2.81/0.72	  ((((sK3 @ sK26 @ sK25) | (sK4 @ sK26 @ sK25)) => (sK6 @ sK26 @ sK25)) = $false) | ~spl0_31),
2.81/0.72	  inference(beta_eta_normalization,[],[f2305])).
2.81/0.72	thf(f2305,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (((sK3 @ Y0 @ sK25) | (sK4 @ Y0 @ sK25)) => (sK6 @ Y0 @ sK25))) @ sK26)) | ~spl0_31),
2.81/0.72	  inference(sigma_clausification,[],[f2273])).
2.81/0.72	thf(f2273,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (((sK3 @ Y0 @ sK25) | (sK4 @ Y0 @ sK25)) => (sK6 @ Y0 @ sK25))))) | ~spl0_31),
2.81/0.72	  inference(beta_eta_normalization,[],[f2271])).
2.81/0.72	thf(f2271,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) | (sK4 @ Y1 @ Y0)) => (sK6 @ Y1 @ Y0))))) @ sK25)) | ~spl0_31),
2.81/0.72	  inference(sigma_clausification,[],[f1069])).
2.81/0.72	thf(f1069,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) | (sK4 @ Y1 @ Y0)) => (sK6 @ Y1 @ Y0))))))) | ~spl0_31),
2.81/0.72	  inference(avatar_component_clause,[],[f1068])).
2.81/0.72	thf(f1068,plain,(
2.81/0.72	  spl0_31 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) | (sK4 @ Y1 @ Y0)) => (sK6 @ Y1 @ Y0)))))))),
2.81/0.72	  introduced(avatar_definition,[new_symbols(naming,[spl0_31])])).
2.81/0.72	thf(f88,plain,(
2.81/0.72	  ( ! [X2 : a,X1 : a] : (($true = (((sK4 @ X1 @ X2) | (sK3 @ X1 @ X2)) => (sK6 @ X1 @ X2)))) )),
2.81/0.72	  inference(beta_eta_normalization,[],[f87])).
2.81/0.72	thf(f87,plain,(
2.81/0.72	  ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: (((sK4 @ X1 @ Y0) | (sK3 @ X1 @ Y0)) => (sK6 @ X1 @ Y0))) @ X2))) )),
2.81/0.72	  inference(pi_clausification,[],[f80])).
2.81/0.72	thf(f80,plain,(
2.81/0.72	  ( ! [X1 : a] : (((!! @ a @ (^[Y0 : a]: (((sK4 @ X1 @ Y0) | (sK3 @ X1 @ Y0)) => (sK6 @ X1 @ Y0)))) = $true)) )),
2.81/0.72	  inference(beta_eta_normalization,[],[f79])).
2.81/0.72	thf(f79,plain,(
2.81/0.72	  ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK6 @ Y0 @ Y1))))) @ X1))) )),
2.81/0.72	  inference(pi_clausification,[],[f31])).
2.81/0.72	thf(f31,plain,(
2.81/0.72	  ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK6 @ Y0 @ Y1)))))))),
2.81/0.72	  inference(binary_proxy_clausification,[],[f25])).
2.81/0.72	thf(f25,plain,(
2.81/0.72	  (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK6 @ Y0 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK6 @ Y0 @ Y1) & (sK6 @ Y1 @ Y2)) => (sK6 @ Y0 @ Y2))))))))) = $true)),
2.81/0.72	  inference(binary_proxy_clausification,[],[f23])).
2.81/0.72	thf(f23,plain,(
2.81/0.72	  ($false = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK6 @ Y0 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK6 @ Y0 @ Y1) & (sK6 @ Y1 @ Y2)) => (sK6 @ Y0 @ Y2))))))))) => (sK6 @ sK5 @ sK2)))),
2.81/0.72	  inference(beta_eta_normalization,[],[f22])).
2.81/0.72	thf(f22,plain,(
2.81/0.72	  (((^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y1 @ Y3))))))))) => (Y0 @ sK5 @ sK2))) @ sK6) = $false)),
2.81/0.72	  inference(sigma_clausification,[],[f21])).
2.81/0.72	thf(f21,plain,(
2.81/0.72	  ($false = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y1 @ Y3))))))))) => (Y0 @ sK5 @ sK2)))))),
2.81/0.72	  inference(boolean_simplification,[],[f20])).
2.81/0.72	thf(f20,plain,(
2.81/0.72	  ($false = ($false | (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y1 @ Y3))))))))) => (Y0 @ sK5 @ sK2))))))),
2.81/0.72	  inference(backward_demodulation,[],[f17,f19])).
2.81/0.72	thf(f19,plain,(
2.81/0.72	  ($false = (((~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) | (sK4 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ sK5 @ sK2))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y5) & (Y3 @ Y4 @ Y6)) => (Y3 @ Y4 @ Y5)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y1 @ Y0)))) & (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y5 @ Y6) & (Y3 @ Y6 @ Y4)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y2 @ Y1))))) => (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y4) & (Y3 @ Y5 @ Y6)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y5 @ Y4) | (sK3 @ Y5 @ Y4)) => (Y3 @ Y5 @ Y4))))))) => (Y3 @ Y2 @ Y0)))))))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK4 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ Y1)))) | (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y5 @ Y3)) => (Y2 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK3 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ Y1))))) => (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y4 @ Y3)) => (Y2 @ Y4 @ Y5))))))))) => (Y2 @ Y0 @ Y1)))))))))))),
2.81/0.72	  inference(binary_proxy_clausification,[],[f17])).
2.81/0.72	thf(f17,plain,(
2.81/0.72	  ($false = ((((~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) | (sK4 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ sK5 @ sK2))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y5) & (Y3 @ Y4 @ Y6)) => (Y3 @ Y4 @ Y5)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y1 @ Y0)))) & (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y5 @ Y6) & (Y3 @ Y6 @ Y4)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y2 @ Y1))))) => (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y4) & (Y3 @ Y5 @ Y6)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y5 @ Y4) | (sK3 @ Y5 @ Y4)) => (Y3 @ Y5 @ Y4))))))) => (Y3 @ Y2 @ Y0)))))))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK4 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ Y1)))) | (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y5 @ Y3)) => (Y2 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK3 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ Y1))))) => (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y4 @ Y3)) => (Y2 @ Y4 @ Y5))))))))) => (Y2 @ Y0 @ Y1)))))))))) | (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y1 @ Y3))))))))) => (Y0 @ sK5 @ sK2))))))),
2.81/0.72	  inference(beta_eta_normalization,[],[f16])).
2.81/0.72	thf(f16,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: ((((~ (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y3 @ Y2) & (Y1 @ Y4 @ Y3)) => (Y1 @ Y4 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y3 @ Y2) | (sK4 @ Y3 @ Y2)) => (Y1 @ Y3 @ Y2))))))) => (Y1 @ Y0 @ sK2))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y7 @ Y6) & (Y4 @ Y5 @ Y7)) => (Y4 @ Y5 @ Y6)))))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((sK4 @ Y5 @ Y6) | (sK3 @ Y5 @ Y6)) => (Y4 @ Y5 @ Y6))))))) => (Y4 @ Y2 @ Y1)))) & (!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y6 @ Y7) & (Y4 @ Y7 @ Y5)) => (Y4 @ Y6 @ Y5)))))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((sK4 @ Y5 @ Y6) | (sK3 @ Y5 @ Y6)) => (Y4 @ Y5 @ Y6))))))) => (Y4 @ Y3 @ Y2))))) => (!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y7 @ Y5) & (Y4 @ Y6 @ Y7)) => (Y4 @ Y6 @ Y5)))))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((sK4 @ Y6 @ Y5) | (sK3 @ Y6 @ Y5)) => (Y4 @ Y6 @ Y5))))))) => (Y4 @ Y3 @ Y1)))))))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y4) & (Y3 @ Y5 @ Y6)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((sK4 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y1 @ Y2)))) | (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y4 @ Y5) & (Y3 @ Y6 @ Y4)) => (Y3 @ Y6 @ Y5)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((sK3 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y1 @ Y2))))) => (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y4 @ Y6) & (Y3 @ Y5 @ Y4)) => (Y3 @ Y5 @ Y6))))))))) => (Y3 @ Y1 @ Y2)))))))))) | (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) => (Y1 @ Y2 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y2 @ Y3) & (Y1 @ Y3 @ Y4)) => (Y1 @ Y2 @ Y4))))))))) => (Y1 @ Y0 @ sK2)))))) @ sK5))),
2.81/0.72	  inference(sigma_clausification,[],[f15])).
2.81/0.72	thf(f15,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: ((((~ (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y3 @ Y2) & (Y1 @ Y4 @ Y3)) => (Y1 @ Y4 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK3 @ Y3 @ Y2) | (sK4 @ Y3 @ Y2)) => (Y1 @ Y3 @ Y2))))))) => (Y1 @ Y0 @ sK2))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y7 @ Y6) & (Y4 @ Y5 @ Y7)) => (Y4 @ Y5 @ Y6)))))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((sK4 @ Y5 @ Y6) | (sK3 @ Y5 @ Y6)) => (Y4 @ Y5 @ Y6))))))) => (Y4 @ Y2 @ Y1)))) & (!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y6 @ Y7) & (Y4 @ Y7 @ Y5)) => (Y4 @ Y6 @ Y5)))))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((sK4 @ Y5 @ Y6) | (sK3 @ Y5 @ Y6)) => (Y4 @ Y5 @ Y6))))))) => (Y4 @ Y3 @ Y2))))) => (!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y7 @ Y5) & (Y4 @ Y6 @ Y7)) => (Y4 @ Y6 @ Y5)))))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((sK4 @ Y6 @ Y5) | (sK3 @ Y6 @ Y5)) => (Y4 @ Y6 @ Y5))))))) => (Y4 @ Y3 @ Y1)))))))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y4) & (Y3 @ Y5 @ Y6)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((sK4 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y1 @ Y2)))) | (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y4 @ Y5) & (Y3 @ Y6 @ Y4)) => (Y3 @ Y6 @ Y5)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((sK3 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y1 @ Y2))))) => (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y4 @ Y6) & (Y3 @ Y5 @ Y4)) => (Y3 @ Y5 @ Y6))))))))) => (Y3 @ Y1 @ Y2)))))))))) | (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) => (Y1 @ Y2 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y2 @ Y3) & (Y1 @ Y3 @ Y4)) => (Y1 @ Y2 @ Y4))))))))) => (Y1 @ Y0 @ sK2))))))))),
2.81/0.72	  inference(beta_eta_normalization,[],[f14])).
2.81/0.72	thf(f14,plain,(
2.81/0.72	  ($false = ((^[Y0 : a > a > $o]: (!! @ a @ (^[Y1 : a]: ((((~ (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y4 @ Y3) & (Y2 @ Y5 @ Y4)) => (Y2 @ Y5 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y4 @ Y3) | (Y0 @ Y4 @ Y3)) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y1 @ sK2))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((!! @ (a > a > $o) @ (^[Y5 : a > a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y5 @ Y8 @ Y7) & (Y5 @ Y6 @ Y8)) => (Y5 @ Y6 @ Y7)))))))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y0 @ Y6 @ Y7) | (sK3 @ Y6 @ Y7)) => (Y5 @ Y6 @ Y7))))))) => (Y5 @ Y3 @ Y2)))) & (!! @ (a > a > $o) @ (^[Y5 : a > a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y5 @ Y7 @ Y8) & (Y5 @ Y8 @ Y6)) => (Y5 @ Y7 @ Y6)))))))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y0 @ Y6 @ Y7) | (sK3 @ Y6 @ Y7)) => (Y5 @ Y6 @ Y7))))))) => (Y5 @ Y4 @ Y3))))) => (!! @ (a > a > $o) @ (^[Y5 : a > a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y5 @ Y8 @ Y6) & (Y5 @ Y7 @ Y8)) => (Y5 @ Y7 @ Y6)))))))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y0 @ Y7 @ Y6) | (sK3 @ Y7 @ Y6)) => (Y5 @ Y7 @ Y6))))))) => (Y5 @ Y4 @ Y2)))))))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y7 @ Y5) & (Y4 @ Y6 @ Y7)) => (Y4 @ Y6 @ Y5)))))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((Y0 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6))))))) => (Y4 @ Y2 @ Y3)))) | (!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y5 @ Y6) & (Y4 @ Y7 @ Y5)) => (Y4 @ Y7 @ Y6)))))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((sK3 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6))))))) => (Y4 @ Y2 @ Y3))))) => (!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y0 @ Y5 @ Y6) | (sK3 @ Y5 @ Y6)) => (Y4 @ Y5 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y5 @ Y7) & (Y4 @ Y6 @ Y5)) => (Y4 @ Y6 @ Y7))))))))) => (Y4 @ Y2 @ Y3)))))))))) | (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y0 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y3 @ Y5))))))))) => (Y2 @ Y1 @ sK2)))))))) @ sK4))),
2.81/0.72	  inference(sigma_clausification,[],[f13])).
2.81/0.72	thf(f13,plain,(
2.81/0.72	  ($false = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ a @ (^[Y1 : a]: ((((~ (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y4 @ Y3) & (Y2 @ Y5 @ Y4)) => (Y2 @ Y5 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK3 @ Y4 @ Y3) | (Y0 @ Y4 @ Y3)) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y1 @ sK2))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((!! @ (a > a > $o) @ (^[Y5 : a > a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y5 @ Y8 @ Y7) & (Y5 @ Y6 @ Y8)) => (Y5 @ Y6 @ Y7)))))))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y0 @ Y6 @ Y7) | (sK3 @ Y6 @ Y7)) => (Y5 @ Y6 @ Y7))))))) => (Y5 @ Y3 @ Y2)))) & (!! @ (a > a > $o) @ (^[Y5 : a > a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y5 @ Y7 @ Y8) & (Y5 @ Y8 @ Y6)) => (Y5 @ Y7 @ Y6)))))))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y0 @ Y6 @ Y7) | (sK3 @ Y6 @ Y7)) => (Y5 @ Y6 @ Y7))))))) => (Y5 @ Y4 @ Y3))))) => (!! @ (a > a > $o) @ (^[Y5 : a > a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y5 @ Y8 @ Y6) & (Y5 @ Y7 @ Y8)) => (Y5 @ Y7 @ Y6)))))))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y0 @ Y7 @ Y6) | (sK3 @ Y7 @ Y6)) => (Y5 @ Y7 @ Y6))))))) => (Y5 @ Y4 @ Y2)))))))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y7 @ Y5) & (Y4 @ Y6 @ Y7)) => (Y4 @ Y6 @ Y5)))))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((Y0 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6))))))) => (Y4 @ Y2 @ Y3)))) | (!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y5 @ Y6) & (Y4 @ Y7 @ Y5)) => (Y4 @ Y7 @ Y6)))))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((sK3 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6))))))) => (Y4 @ Y2 @ Y3))))) => (!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y0 @ Y5 @ Y6) | (sK3 @ Y5 @ Y6)) => (Y4 @ Y5 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y5 @ Y7) & (Y4 @ Y6 @ Y5)) => (Y4 @ Y6 @ Y7))))))))) => (Y4 @ Y2 @ Y3)))))))))) | (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y0 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y3 @ Y5))))))))) => (Y2 @ Y1 @ sK2))))))))))),
2.81/0.72	  inference(beta_eta_normalization,[],[f12])).
2.81/0.72	thf(f12,plain,(
2.81/0.72	  ($false = ((^[Y0 : a > a > $o]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (!! @ a @ (^[Y2 : a]: ((((~ (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y5 @ Y4) & (Y3 @ Y6 @ Y5)) => (Y3 @ Y6 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y0 @ Y5 @ Y4) | (Y1 @ Y5 @ Y4)) => (Y3 @ Y5 @ Y4))))))) => (Y3 @ Y2 @ sK2))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > a > $o) @ (^[Y6 : a > a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y6 @ Y9 @ Y8) & (Y6 @ Y7 @ Y9)) => (Y6 @ Y7 @ Y8)))))))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y1 @ Y7 @ Y8) | (Y0 @ Y7 @ Y8)) => (Y6 @ Y7 @ Y8))))))) => (Y6 @ Y4 @ Y3)))) & (!! @ (a > a > $o) @ (^[Y6 : a > a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y6 @ Y8 @ Y9) & (Y6 @ Y9 @ Y7)) => (Y6 @ Y8 @ Y7)))))))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y1 @ Y7 @ Y8) | (Y0 @ Y7 @ Y8)) => (Y6 @ Y7 @ Y8))))))) => (Y6 @ Y5 @ Y4))))) => (!! @ (a > a > $o) @ (^[Y6 : a > a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y6 @ Y9 @ Y7) & (Y6 @ Y8 @ Y9)) => (Y6 @ Y8 @ Y7)))))))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y1 @ Y8 @ Y7) | (Y0 @ Y8 @ Y7)) => (Y6 @ Y8 @ Y7))))))) => (Y6 @ Y5 @ Y3)))))))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((!! @ (a > a > $o) @ (^[Y5 : a > a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y5 @ Y8 @ Y6) & (Y5 @ Y7 @ Y8)) => (Y5 @ Y7 @ Y6)))))))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((Y1 @ Y6 @ Y7) => (Y5 @ Y6 @ Y7))))))) => (Y5 @ Y3 @ Y4)))) | (!! @ (a > a > $o) @ (^[Y5 : a > a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y5 @ Y6 @ Y7) & (Y5 @ Y8 @ Y6)) => (Y5 @ Y8 @ Y7)))))))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((Y0 @ Y6 @ Y7) => (Y5 @ Y6 @ Y7))))))) => (Y5 @ Y3 @ Y4))))) => (!! @ (a > a > $o) @ (^[Y5 : a > a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y1 @ Y6 @ Y7) | (Y0 @ Y6 @ Y7)) => (Y5 @ Y6 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y5 @ Y6 @ Y8) & (Y5 @ Y7 @ Y6)) => (Y5 @ Y7 @ Y8))))))))) => (Y5 @ Y3 @ Y4)))))))))) | (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y1 @ Y4 @ Y5) | (Y0 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y4 @ Y5) & (Y3 @ Y5 @ Y6)) => (Y3 @ Y4 @ Y6))))))))) => (Y3 @ Y2 @ sK2)))))))))) @ sK3))),
2.81/0.72	  inference(sigma_clausification,[],[f11])).
2.81/0.72	thf(f11,plain,(
2.81/0.72	  ((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (!! @ a @ (^[Y2 : a]: ((((~ (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y5 @ Y4) & (Y3 @ Y6 @ Y5)) => (Y3 @ Y6 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y0 @ Y5 @ Y4) | (Y1 @ Y5 @ Y4)) => (Y3 @ Y5 @ Y4))))))) => (Y3 @ Y2 @ sK2))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > a > $o) @ (^[Y6 : a > a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y6 @ Y9 @ Y8) & (Y6 @ Y7 @ Y9)) => (Y6 @ Y7 @ Y8)))))))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y1 @ Y7 @ Y8) | (Y0 @ Y7 @ Y8)) => (Y6 @ Y7 @ Y8))))))) => (Y6 @ Y4 @ Y3)))) & (!! @ (a > a > $o) @ (^[Y6 : a > a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y6 @ Y8 @ Y9) & (Y6 @ Y9 @ Y7)) => (Y6 @ Y8 @ Y7)))))))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y1 @ Y7 @ Y8) | (Y0 @ Y7 @ Y8)) => (Y6 @ Y7 @ Y8))))))) => (Y6 @ Y5 @ Y4))))) => (!! @ (a > a > $o) @ (^[Y6 : a > a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y6 @ Y9 @ Y7) & (Y6 @ Y8 @ Y9)) => (Y6 @ Y8 @ Y7)))))))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y1 @ Y8 @ Y7) | (Y0 @ Y8 @ Y7)) => (Y6 @ Y8 @ Y7))))))) => (Y6 @ Y5 @ Y3)))))))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((!! @ (a > a > $o) @ (^[Y5 : a > a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y5 @ Y8 @ Y6) & (Y5 @ Y7 @ Y8)) => (Y5 @ Y7 @ Y6)))))))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((Y1 @ Y6 @ Y7) => (Y5 @ Y6 @ Y7))))))) => (Y5 @ Y3 @ Y4)))) | (!! @ (a > a > $o) @ (^[Y5 : a > a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y5 @ Y6 @ Y7) & (Y5 @ Y8 @ Y6)) => (Y5 @ Y8 @ Y7)))))))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((Y0 @ Y6 @ Y7) => (Y5 @ Y6 @ Y7))))))) => (Y5 @ Y3 @ Y4))))) => (!! @ (a > a > $o) @ (^[Y5 : a > a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y1 @ Y6 @ Y7) | (Y0 @ Y6 @ Y7)) => (Y5 @ Y6 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y5 @ Y6 @ Y8) & (Y5 @ Y7 @ Y6)) => (Y5 @ Y7 @ Y8))))))))) => (Y5 @ Y3 @ Y4)))))))))) | (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y1 @ Y4 @ Y5) | (Y0 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y4 @ Y5) & (Y3 @ Y5 @ Y6)) => (Y3 @ Y4 @ Y6))))))))) => (Y3 @ Y2 @ sK2))))))))))) = $false)),
2.81/0.72	  inference(beta_eta_normalization,[],[f10])).
2.81/0.72	thf(f10,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (!! @ a @ (^[Y3 : a]: ((((~ (!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y6 @ Y5) & (Y4 @ Y7 @ Y6)) => (Y4 @ Y7 @ Y5)))))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y1 @ Y6 @ Y5) | (Y2 @ Y6 @ Y5)) => (Y4 @ Y6 @ Y5))))))) => (Y4 @ Y3 @ Y0))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((!! @ (a > a > $o) @ (^[Y7 : a > a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (!! @ a @ (^[Y10 : a]: (((Y7 @ Y10 @ Y9) & (Y7 @ Y8 @ Y10)) => (Y7 @ Y8 @ Y9)))))))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y2 @ Y8 @ Y9) | (Y1 @ Y8 @ Y9)) => (Y7 @ Y8 @ Y9))))))) => (Y7 @ Y5 @ Y4)))) & (!! @ (a > a > $o) @ (^[Y7 : a > a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (!! @ a @ (^[Y10 : a]: (((Y7 @ Y9 @ Y10) & (Y7 @ Y10 @ Y8)) => (Y7 @ Y9 @ Y8)))))))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y2 @ Y8 @ Y9) | (Y1 @ Y8 @ Y9)) => (Y7 @ Y8 @ Y9))))))) => (Y7 @ Y6 @ Y5))))) => (!! @ (a > a > $o) @ (^[Y7 : a > a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (!! @ a @ (^[Y10 : a]: (((Y7 @ Y10 @ Y8) & (Y7 @ Y9 @ Y10)) => (Y7 @ Y9 @ Y8)))))))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y2 @ Y9 @ Y8) | (Y1 @ Y9 @ Y8)) => (Y7 @ Y9 @ Y8))))))) => (Y7 @ Y6 @ Y4)))))))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > a > $o) @ (^[Y6 : a > a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y6 @ Y9 @ Y7) & (Y6 @ Y8 @ Y9)) => (Y6 @ Y8 @ Y7)))))))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((Y2 @ Y7 @ Y8) => (Y6 @ Y7 @ Y8))))))) => (Y6 @ Y4 @ Y5)))) | (!! @ (a > a > $o) @ (^[Y6 : a > a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y6 @ Y7 @ Y8) & (Y6 @ Y9 @ Y7)) => (Y6 @ Y9 @ Y8)))))))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((Y1 @ Y7 @ Y8) => (Y6 @ Y7 @ Y8))))))) => (Y6 @ Y4 @ Y5))))) => (!! @ (a > a > $o) @ (^[Y6 : a > a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y2 @ Y7 @ Y8) | (Y1 @ Y7 @ Y8)) => (Y6 @ Y7 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y6 @ Y7 @ Y9) & (Y6 @ Y8 @ Y7)) => (Y6 @ Y8 @ Y9))))))))) => (Y6 @ Y4 @ Y5)))))))))) | (!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y2 @ Y5 @ Y6) | (Y1 @ Y5 @ Y6)) => (Y4 @ Y5 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y5 @ Y6) & (Y4 @ Y6 @ Y7)) => (Y4 @ Y5 @ Y7))))))))) => (Y4 @ Y3 @ Y0)))))))))))) @ sK2))),
2.81/0.72	  inference(sigma_clausification,[],[f7])).
2.81/0.72	thf(f7,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (!! @ a @ (^[Y3 : a]: ((((~ (!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y6 @ Y5) & (Y4 @ Y7 @ Y6)) => (Y4 @ Y7 @ Y5)))))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y1 @ Y6 @ Y5) | (Y2 @ Y6 @ Y5)) => (Y4 @ Y6 @ Y5))))))) => (Y4 @ Y3 @ Y0))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((!! @ (a > a > $o) @ (^[Y7 : a > a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (!! @ a @ (^[Y10 : a]: (((Y7 @ Y10 @ Y9) & (Y7 @ Y8 @ Y10)) => (Y7 @ Y8 @ Y9)))))))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y2 @ Y8 @ Y9) | (Y1 @ Y8 @ Y9)) => (Y7 @ Y8 @ Y9))))))) => (Y7 @ Y5 @ Y4)))) & (!! @ (a > a > $o) @ (^[Y7 : a > a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (!! @ a @ (^[Y10 : a]: (((Y7 @ Y9 @ Y10) & (Y7 @ Y10 @ Y8)) => (Y7 @ Y9 @ Y8)))))))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y2 @ Y8 @ Y9) | (Y1 @ Y8 @ Y9)) => (Y7 @ Y8 @ Y9))))))) => (Y7 @ Y6 @ Y5))))) => (!! @ (a > a > $o) @ (^[Y7 : a > a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (!! @ a @ (^[Y10 : a]: (((Y7 @ Y10 @ Y8) & (Y7 @ Y9 @ Y10)) => (Y7 @ Y9 @ Y8)))))))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y2 @ Y9 @ Y8) | (Y1 @ Y9 @ Y8)) => (Y7 @ Y9 @ Y8))))))) => (Y7 @ Y6 @ Y4)))))))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > a > $o) @ (^[Y6 : a > a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y6 @ Y9 @ Y7) & (Y6 @ Y8 @ Y9)) => (Y6 @ Y8 @ Y7)))))))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((Y2 @ Y7 @ Y8) => (Y6 @ Y7 @ Y8))))))) => (Y6 @ Y4 @ Y5)))) | (!! @ (a > a > $o) @ (^[Y6 : a > a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y6 @ Y7 @ Y8) & (Y6 @ Y9 @ Y7)) => (Y6 @ Y9 @ Y8)))))))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((Y1 @ Y7 @ Y8) => (Y6 @ Y7 @ Y8))))))) => (Y6 @ Y4 @ Y5))))) => (!! @ (a > a > $o) @ (^[Y6 : a > a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y2 @ Y7 @ Y8) | (Y1 @ Y7 @ Y8)) => (Y6 @ Y7 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y6 @ Y7 @ Y9) & (Y6 @ Y8 @ Y7)) => (Y6 @ Y8 @ Y9))))))))) => (Y6 @ Y4 @ Y5)))))))))) | (!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y2 @ Y5 @ Y6) | (Y1 @ Y5 @ Y6)) => (Y4 @ Y5 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y5 @ Y6) & (Y4 @ Y6 @ Y7)) => (Y4 @ Y5 @ Y7))))))))) => (Y4 @ Y3 @ Y0))))))))))))))),
2.81/0.72	  inference(not_proxy_clausification,[],[f6])).
2.81/0.72	thf(f6,plain,(
2.81/0.72	  ($true = (~ (!! @ a @ (^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (!! @ a @ (^[Y3 : a]: ((((~ (!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y6 @ Y5) & (Y4 @ Y7 @ Y6)) => (Y4 @ Y7 @ Y5)))))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y1 @ Y6 @ Y5) | (Y2 @ Y6 @ Y5)) => (Y4 @ Y6 @ Y5))))))) => (Y4 @ Y3 @ Y0))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((!! @ (a > a > $o) @ (^[Y7 : a > a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (!! @ a @ (^[Y10 : a]: (((Y7 @ Y10 @ Y9) & (Y7 @ Y8 @ Y10)) => (Y7 @ Y8 @ Y9)))))))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y2 @ Y8 @ Y9) | (Y1 @ Y8 @ Y9)) => (Y7 @ Y8 @ Y9))))))) => (Y7 @ Y5 @ Y4)))) & (!! @ (a > a > $o) @ (^[Y7 : a > a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (!! @ a @ (^[Y10 : a]: (((Y7 @ Y9 @ Y10) & (Y7 @ Y10 @ Y8)) => (Y7 @ Y9 @ Y8)))))))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y2 @ Y8 @ Y9) | (Y1 @ Y8 @ Y9)) => (Y7 @ Y8 @ Y9))))))) => (Y7 @ Y6 @ Y5))))) => (!! @ (a > a > $o) @ (^[Y7 : a > a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (!! @ a @ (^[Y10 : a]: (((Y7 @ Y10 @ Y8) & (Y7 @ Y9 @ Y10)) => (Y7 @ Y9 @ Y8)))))))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y2 @ Y9 @ Y8) | (Y1 @ Y9 @ Y8)) => (Y7 @ Y9 @ Y8))))))) => (Y7 @ Y6 @ Y4)))))))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > a > $o) @ (^[Y6 : a > a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y6 @ Y9 @ Y7) & (Y6 @ Y8 @ Y9)) => (Y6 @ Y8 @ Y7)))))))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((Y2 @ Y7 @ Y8) => (Y6 @ Y7 @ Y8))))))) => (Y6 @ Y4 @ Y5)))) | (!! @ (a > a > $o) @ (^[Y6 : a > a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y6 @ Y7 @ Y8) & (Y6 @ Y9 @ Y7)) => (Y6 @ Y9 @ Y8)))))))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((Y1 @ Y7 @ Y8) => (Y6 @ Y7 @ Y8))))))) => (Y6 @ Y4 @ Y5))))) => (!! @ (a > a > $o) @ (^[Y6 : a > a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y2 @ Y7 @ Y8) | (Y1 @ Y7 @ Y8)) => (Y6 @ Y7 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y6 @ Y7 @ Y9) & (Y6 @ Y8 @ Y7)) => (Y6 @ Y8 @ Y9))))))))) => (Y6 @ Y4 @ Y5)))))))))) | (!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y2 @ Y5 @ Y6) | (Y1 @ Y5 @ Y6)) => (Y4 @ Y5 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y5 @ Y6) & (Y4 @ Y6 @ Y7)) => (Y4 @ Y5 @ Y7))))))))) => (Y4 @ Y3 @ Y0)))))))))))))))),
2.81/0.72	  inference(cnf_transformation,[],[f5])).
2.81/0.72	thf(f5,plain,(
2.81/0.72	  ($true = (~ (!! @ a @ (^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (!! @ a @ (^[Y3 : a]: ((((~ (!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y6 @ Y5) & (Y4 @ Y7 @ Y6)) => (Y4 @ Y7 @ Y5)))))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y1 @ Y6 @ Y5) | (Y2 @ Y6 @ Y5)) => (Y4 @ Y6 @ Y5))))))) => (Y4 @ Y3 @ Y0))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((!! @ (a > a > $o) @ (^[Y7 : a > a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (!! @ a @ (^[Y10 : a]: (((Y7 @ Y10 @ Y9) & (Y7 @ Y8 @ Y10)) => (Y7 @ Y8 @ Y9)))))))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y2 @ Y8 @ Y9) | (Y1 @ Y8 @ Y9)) => (Y7 @ Y8 @ Y9))))))) => (Y7 @ Y5 @ Y4)))) & (!! @ (a > a > $o) @ (^[Y7 : a > a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (!! @ a @ (^[Y10 : a]: (((Y7 @ Y9 @ Y10) & (Y7 @ Y10 @ Y8)) => (Y7 @ Y9 @ Y8)))))))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y2 @ Y8 @ Y9) | (Y1 @ Y8 @ Y9)) => (Y7 @ Y8 @ Y9))))))) => (Y7 @ Y6 @ Y5))))) => (!! @ (a > a > $o) @ (^[Y7 : a > a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (!! @ a @ (^[Y10 : a]: (((Y7 @ Y10 @ Y8) & (Y7 @ Y9 @ Y10)) => (Y7 @ Y9 @ Y8)))))))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y2 @ Y9 @ Y8) | (Y1 @ Y9 @ Y8)) => (Y7 @ Y9 @ Y8))))))) => (Y7 @ Y6 @ Y4)))))))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > a > $o) @ (^[Y6 : a > a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y6 @ Y9 @ Y7) & (Y6 @ Y8 @ Y9)) => (Y6 @ Y8 @ Y7)))))))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((Y2 @ Y7 @ Y8) => (Y6 @ Y7 @ Y8))))))) => (Y6 @ Y4 @ Y5)))) | (!! @ (a > a > $o) @ (^[Y6 : a > a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y6 @ Y7 @ Y8) & (Y6 @ Y9 @ Y7)) => (Y6 @ Y9 @ Y8)))))))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((Y1 @ Y7 @ Y8) => (Y6 @ Y7 @ Y8))))))) => (Y6 @ Y4 @ Y5))))) => (!! @ (a > a > $o) @ (^[Y6 : a > a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y2 @ Y7 @ Y8) | (Y1 @ Y7 @ Y8)) => (Y6 @ Y7 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y6 @ Y7 @ Y9) & (Y6 @ Y8 @ Y7)) => (Y6 @ Y8 @ Y9))))))))) => (Y6 @ Y4 @ Y5)))))))))) | (!! @ (a > a > $o) @ (^[Y4 : a > a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y2 @ Y5 @ Y6) | (Y1 @ Y5 @ Y6)) => (Y4 @ Y5 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y4 @ Y5 @ Y6) & (Y4 @ Y6 @ Y7)) => (Y4 @ Y5 @ Y7))))))))) => (Y4 @ Y3 @ Y0)))))))))))))))),
2.81/0.72	  inference(fool_elimination,[],[f4])).
2.81/0.72	thf(f4,plain,(
2.81/0.72	  ~! [X0 : a,X1 : a > a > $o,X2 : a > a > $o,X3 : a] : (! [X4 : a > a > $o] : ((! [X5 : a,X6 : a,X7 : a] : (((X4 @ X6 @ X5) & (X4 @ X7 @ X6)) => (X4 @ X7 @ X5)) & ! [X8 : a,X9 : a] : (((X2 @ X9 @ X8) | (X1 @ X9 @ X8)) => (X4 @ X9 @ X8))) => (X4 @ X0 @ X3)) | (! [X10 : a,X11 : a] : ((! [X12 : a > a > $o] : ((! [X13 : a,X14 : a] : ((X2 @ X14 @ X13) => (X12 @ X14 @ X13)) & ! [X15 : a,X16 : a,X17 : a] : (((X12 @ X15 @ X17) & (X12 @ X17 @ X16)) => (X12 @ X15 @ X16))) => (X12 @ X11 @ X10)) | ! [X18 : a > a > $o] : ((! [X19 : a,X20 : a] : ((X1 @ X20 @ X19) => (X18 @ X20 @ X19)) & ! [X21 : a,X22 : a,X23 : a] : (((X18 @ X22 @ X21) & (X18 @ X21 @ X23)) => (X18 @ X22 @ X23))) => (X18 @ X11 @ X10))) => ! [X24 : a > a > $o] : ((! [X25 : a,X26 : a,X27 : a] : (((X24 @ X26 @ X27) & (X24 @ X27 @ X25)) => (X24 @ X26 @ X25)) & ! [X28 : a,X29 : a] : (((X2 @ X29 @ X28) | (X1 @ X29 @ X28)) => (X24 @ X29 @ X28))) => (X24 @ X11 @ X10))) & ! [X30 : a,X31 : a,X32 : a] : ((! [X33 : a > a > $o] : ((! [X34 : a,X35 : a] : (((X2 @ X35 @ X34) | (X1 @ X35 @ X34)) => (X33 @ X35 @ X34)) & ! [X36 : a,X37 : a,X38 : a] : (((X33 @ X36 @ X38) & (X33 @ X37 @ X36)) => (X33 @ X37 @ X38))) => (X33 @ X30 @ X31)) & ! [X39 : a > a > $o] : ((! [X40 : a,X41 : a] : (((X2 @ X41 @ X40) | (X1 @ X41 @ X40)) => (X39 @ X41 @ X40)) & ! [X42 : a,X43 : a,X44 : a] : (((X39 @ X44 @ X42) & (X39 @ X42 @ X43)) => (X39 @ X44 @ X43))) => (X39 @ X31 @ X32))) => ! [X45 : a > a > $o] : ((! [X46 : a,X47 : a] : (((X2 @ X46 @ X47) | (X1 @ X46 @ X47)) => (X45 @ X46 @ X47)) & ! [X48 : a,X49 : a,X50 : a] : (((X45 @ X49 @ X48) & (X45 @ X48 @ X50)) => (X45 @ X49 @ X50))) => (X45 @ X30 @ X32))) & ~! [X51 : a > a > $o] : ((! [X52 : a,X53 : a] : (((X1 @ X52 @ X53) | (X2 @ X52 @ X53)) => (X51 @ X52 @ X53)) & ! [X54 : a,X55 : a,X56 : a] : (((X51 @ X54 @ X55) & (X51 @ X55 @ X56)) => (X51 @ X54 @ X56))) => (X51 @ X0 @ X3))))),
2.81/0.72	  inference(rectify,[],[f2])).
2.81/0.72	thf(f2,negated_conjecture,(
2.81/0.72	  ~! [X2 : a,X0 : a > a > $o,X1 : a > a > $o,X3 : a] : (! [X7 : a > a > $o] : ((! [X6 : a,X5 : a,X4 : a] : (((X7 @ X5 @ X6) & (X7 @ X4 @ X5)) => (X7 @ X4 @ X6)) & ! [X5 : a,X4 : a] : (((X1 @ X4 @ X5) | (X0 @ X4 @ X5)) => (X7 @ X4 @ X5))) => (X7 @ X2 @ X3)) | (! [X5 : a,X4 : a] : ((! [X7 : a > a > $o] : ((! [X9 : a,X8 : a] : ((X1 @ X8 @ X9) => (X7 @ X8 @ X9)) & ! [X8 : a,X6 : a,X9 : a] : (((X7 @ X8 @ X9) & (X7 @ X9 @ X6)) => (X7 @ X8 @ X6))) => (X7 @ X4 @ X5)) | ! [X7 : a > a > $o] : ((! [X9 : a,X8 : a] : ((X0 @ X8 @ X9) => (X7 @ X8 @ X9)) & ! [X9 : a,X8 : a,X6 : a] : (((X7 @ X8 @ X9) & (X7 @ X9 @ X6)) => (X7 @ X8 @ X6))) => (X7 @ X4 @ X5))) => ! [X7 : a > a > $o] : ((! [X6 : a,X8 : a,X9 : a] : (((X7 @ X8 @ X9) & (X7 @ X9 @ X6)) => (X7 @ X8 @ X6)) & ! [X9 : a,X8 : a] : (((X1 @ X8 @ X9) | (X0 @ X8 @ X9)) => (X7 @ X8 @ X9))) => (X7 @ X4 @ X5))) & ! [X4 : a,X5 : a,X6 : a] : ((! [X7 : a > a > $o] : ((! [X9 : a,X8 : a] : (((X1 @ X8 @ X9) | (X0 @ X8 @ X9)) => (X7 @ X8 @ X9)) & ! [X9 : a,X8 : a,X10 : a] : (((X7 @ X9 @ X10) & (X7 @ X8 @ X9)) => (X7 @ X8 @ X10))) => (X7 @ X4 @ X5)) & ! [X7 : a > a > $o] : ((! [X9 : a,X8 : a] : (((X1 @ X8 @ X9) | (X0 @ X8 @ X9)) => (X7 @ X8 @ X9)) & ! [X9 : a,X10 : a,X8 : a] : (((X7 @ X8 @ X9) & (X7 @ X9 @ X10)) => (X7 @ X8 @ X10))) => (X7 @ X5 @ X6))) => ! [X7 : a > a > $o] : ((! [X8 : a,X9 : a] : (((X1 @ X8 @ X9) | (X0 @ X8 @ X9)) => (X7 @ X8 @ X9)) & ! [X9 : a,X8 : a,X10 : a] : (((X7 @ X8 @ X9) & (X7 @ X9 @ X10)) => (X7 @ X8 @ X10))) => (X7 @ X4 @ X6))) & ~! [X7 : a > a > $o] : ((! [X4 : a,X5 : a] : (((X0 @ X4 @ X5) | (X1 @ X4 @ X5)) => (X7 @ X4 @ X5)) & ! [X4 : a,X5 : a,X6 : a] : (((X7 @ X4 @ X5) & (X7 @ X5 @ X6)) => (X7 @ X4 @ X6))) => (X7 @ X2 @ X3))))),
2.81/0.72	  inference(negated_conjecture,[],[f1])).
2.81/0.72	thf(f1,conjecture,(
2.81/0.72	  ! [X2 : a,X0 : a > a > $o,X1 : a > a > $o,X3 : a] : (! [X7 : a > a > $o] : ((! [X6 : a,X5 : a,X4 : a] : (((X7 @ X5 @ X6) & (X7 @ X4 @ X5)) => (X7 @ X4 @ X6)) & ! [X5 : a,X4 : a] : (((X1 @ X4 @ X5) | (X0 @ X4 @ X5)) => (X7 @ X4 @ X5))) => (X7 @ X2 @ X3)) | (! [X5 : a,X4 : a] : ((! [X7 : a > a > $o] : ((! [X9 : a,X8 : a] : ((X1 @ X8 @ X9) => (X7 @ X8 @ X9)) & ! [X8 : a,X6 : a,X9 : a] : (((X7 @ X8 @ X9) & (X7 @ X9 @ X6)) => (X7 @ X8 @ X6))) => (X7 @ X4 @ X5)) | ! [X7 : a > a > $o] : ((! [X9 : a,X8 : a] : ((X0 @ X8 @ X9) => (X7 @ X8 @ X9)) & ! [X9 : a,X8 : a,X6 : a] : (((X7 @ X8 @ X9) & (X7 @ X9 @ X6)) => (X7 @ X8 @ X6))) => (X7 @ X4 @ X5))) => ! [X7 : a > a > $o] : ((! [X6 : a,X8 : a,X9 : a] : (((X7 @ X8 @ X9) & (X7 @ X9 @ X6)) => (X7 @ X8 @ X6)) & ! [X9 : a,X8 : a] : (((X1 @ X8 @ X9) | (X0 @ X8 @ X9)) => (X7 @ X8 @ X9))) => (X7 @ X4 @ X5))) & ! [X4 : a,X5 : a,X6 : a] : ((! [X7 : a > a > $o] : ((! [X9 : a,X8 : a] : (((X1 @ X8 @ X9) | (X0 @ X8 @ X9)) => (X7 @ X8 @ X9)) & ! [X9 : a,X8 : a,X10 : a] : (((X7 @ X9 @ X10) & (X7 @ X8 @ X9)) => (X7 @ X8 @ X10))) => (X7 @ X4 @ X5)) & ! [X7 : a > a > $o] : ((! [X9 : a,X8 : a] : (((X1 @ X8 @ X9) | (X0 @ X8 @ X9)) => (X7 @ X8 @ X9)) & ! [X9 : a,X10 : a,X8 : a] : (((X7 @ X8 @ X9) & (X7 @ X9 @ X10)) => (X7 @ X8 @ X10))) => (X7 @ X5 @ X6))) => ! [X7 : a > a > $o] : ((! [X8 : a,X9 : a] : (((X1 @ X8 @ X9) | (X0 @ X8 @ X9)) => (X7 @ X8 @ X9)) & ! [X9 : a,X8 : a,X10 : a] : (((X7 @ X8 @ X9) & (X7 @ X9 @ X10)) => (X7 @ X8 @ X10))) => (X7 @ X4 @ X6))) & ~! [X7 : a > a > $o] : ((! [X4 : a,X5 : a] : (((X0 @ X4 @ X5) | (X1 @ X4 @ X5)) => (X7 @ X4 @ X5)) & ! [X4 : a,X5 : a,X6 : a] : (((X7 @ X4 @ X5) & (X7 @ X5 @ X6)) => (X7 @ X4 @ X6))) => (X7 @ X2 @ X3))))),
2.81/0.72	  file('/export/starexec/sandbox2/tmp/tmp.rt4fhjAPMg/Vampire---4.8_27452',cTHM250H_pme)).
2.81/0.72	thf(f2312,plain,(
2.81/0.72	  ~spl0_31 | ~spl0_33),
2.81/0.72	  inference(avatar_contradiction_clause,[],[f2311])).
2.81/0.72	thf(f2311,plain,(
2.81/0.72	  $false | (~spl0_31 | ~spl0_33)),
2.81/0.72	  inference(trivial_inequality_removal,[],[f2310])).
2.81/0.72	thf(f2310,plain,(
2.81/0.72	  ($false = $true) | (~spl0_31 | ~spl0_33)),
2.81/0.72	  inference(backward_demodulation,[],[f2232,f2309])).
2.81/0.72	thf(f2309,plain,(
2.81/0.72	  ($false = (sK6 @ sK26 @ sK25)) | (~spl0_31 | ~spl0_33)),
2.81/0.72	  inference(boolean_simplification,[],[f2308])).
2.81/0.72	thf(f2308,plain,(
2.81/0.72	  ($false = ($true => (sK6 @ sK26 @ sK25))) | (~spl0_31 | ~spl0_33)),
2.81/0.72	  inference(boolean_simplification,[],[f2307])).
2.81/0.72	thf(f2307,plain,(
2.81/0.72	  ($false = (($true | (sK4 @ sK26 @ sK25)) => (sK6 @ sK26 @ sK25))) | (~spl0_31 | ~spl0_33)),
2.81/0.72	  inference(forward_demodulation,[],[f2306,f1143])).
2.81/0.72	thf(f1143,plain,(
2.81/0.72	  ($true = (sK3 @ sK26 @ sK25)) | ~spl0_33),
2.81/0.72	  inference(avatar_component_clause,[],[f1142])).
2.81/0.72	thf(f1142,plain,(
2.81/0.72	  spl0_33 <=> ($true = (sK3 @ sK26 @ sK25))),
2.81/0.72	  introduced(avatar_definition,[new_symbols(naming,[spl0_33])])).
2.81/0.72	thf(f2232,plain,(
2.81/0.72	  ($true = (sK6 @ sK26 @ sK25)) | ~spl0_33),
2.81/0.72	  inference(boolean_simplification,[],[f2231])).
2.81/0.72	thf(f2231,plain,(
2.81/0.72	  ($true = ($true => (sK6 @ sK26 @ sK25))) | ~spl0_33),
2.81/0.72	  inference(boolean_simplification,[],[f2230])).
2.81/0.72	thf(f2230,plain,(
2.81/0.72	  ((((sK4 @ sK26 @ sK25) | $true) => (sK6 @ sK26 @ sK25)) = $true) | ~spl0_33),
2.81/0.72	  inference(superposition,[],[f88,f1143])).
2.81/0.72	thf(f2224,plain,(
2.81/0.72	  ~spl0_10 | ~spl0_46),
2.81/0.72	  inference(avatar_contradiction_clause,[],[f2223])).
2.81/0.72	thf(f2223,plain,(
2.81/0.72	  $false | (~spl0_10 | ~spl0_46)),
2.81/0.72	  inference(trivial_inequality_removal,[],[f2219])).
2.81/0.72	thf(f2219,plain,(
2.81/0.72	  ($false = $true) | (~spl0_10 | ~spl0_46)),
2.81/0.72	  inference(superposition,[],[f1448,f2216])).
2.81/0.72	thf(f2216,plain,(
2.81/0.72	  ((!! @ a @ (^[Y0 : a]: (((sK20 @ Y0 @ sK33) & (sK20 @ sK32 @ Y0)) => (sK20 @ sK32 @ sK33)))) = $false) | ~spl0_46),
2.81/0.72	  inference(beta_eta_normalization,[],[f2215])).
2.81/0.72	thf(f2215,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK20 @ Y1 @ Y0) & (sK20 @ sK32 @ Y1)) => (sK20 @ sK32 @ Y0))))) @ sK33)) | ~spl0_46),
2.81/0.72	  inference(sigma_clausification,[],[f2206])).
2.81/0.72	thf(f2206,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK20 @ Y1 @ Y0) & (sK20 @ sK32 @ Y1)) => (sK20 @ sK32 @ Y0))))))) | ~spl0_46),
2.81/0.72	  inference(beta_eta_normalization,[],[f2202])).
2.81/0.72	thf(f2202,plain,(
2.81/0.72	  (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y2 @ Y1) & (sK20 @ Y0 @ Y2)) => (sK20 @ Y0 @ Y1))))))) @ sK32) = $false) | ~spl0_46),
2.81/0.72	  inference(sigma_clausification,[],[f2142])).
2.81/0.72	thf(f2142,plain,(
2.81/0.72	  ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y2 @ Y1) & (sK20 @ Y0 @ Y2)) => (sK20 @ Y0 @ Y1)))))))) = $false) | ~spl0_46),
2.81/0.72	  inference(avatar_component_clause,[],[f2141])).
2.81/0.72	thf(f2141,plain,(
2.81/0.72	  spl0_46 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y2 @ Y1) & (sK20 @ Y0 @ Y2)) => (sK20 @ Y0 @ Y1)))))))) = $false)),
2.81/0.72	  introduced(avatar_definition,[new_symbols(naming,[spl0_46])])).
2.81/0.72	thf(f1448,plain,(
2.81/0.72	  ( ! [X2 : a,X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: (((sK20 @ Y0 @ X1) & (sK20 @ X2 @ Y0)) => (sK20 @ X2 @ X1)))))) ) | ~spl0_10),
2.81/0.72	  inference(beta_eta_normalization,[],[f1447])).
2.81/0.72	thf(f1447,plain,(
2.81/0.72	  ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK20 @ Y1 @ X1) & (sK20 @ Y0 @ Y1)) => (sK20 @ Y0 @ X1))))) @ X2))) ) | ~spl0_10),
2.81/0.72	  inference(pi_clausification,[],[f1435])).
2.81/0.72	thf(f1435,plain,(
2.81/0.72	  ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK20 @ Y1 @ X1) & (sK20 @ Y0 @ Y1)) => (sK20 @ Y0 @ X1)))))))) ) | ~spl0_10),
2.81/0.72	  inference(beta_eta_normalization,[],[f1434])).
2.81/0.72	thf(f1434,plain,(
2.81/0.72	  ( ! [X1 : a] : ((((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y2 @ Y0) & (sK20 @ Y1 @ Y2)) => (sK20 @ Y1 @ Y0))))))) @ X1) = $true)) ) | ~spl0_10),
2.81/0.72	  inference(pi_clausification,[],[f1418])).
2.81/0.72	thf(f1418,plain,(
2.81/0.72	  ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y2 @ Y0) & (sK20 @ Y1 @ Y2)) => (sK20 @ Y1 @ Y0)))))))) = $true) | ~spl0_10),
2.81/0.72	  inference(boolean_simplification,[],[f1417])).
2.81/0.72	thf(f1417,plain,(
2.81/0.72	  ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y2 @ Y0) & (sK20 @ Y1 @ Y2)) => (sK20 @ Y1 @ Y0)))))))) & $true)) | ~spl0_10),
2.81/0.72	  inference(backward_demodulation,[],[f1412,f1415])).
2.81/0.72	thf(f1415,plain,(
2.81/0.72	  ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y1 @ Y0) | (sK3 @ Y1 @ Y0)) => (sK20 @ Y1 @ Y0))))))) | ~spl0_10),
2.81/0.72	  inference(binary_proxy_clausification,[],[f1412])).
2.81/0.72	thf(f1412,plain,(
2.81/0.72	  ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y2 @ Y0) & (sK20 @ Y1 @ Y2)) => (sK20 @ Y1 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y1 @ Y0) | (sK3 @ Y1 @ Y0)) => (sK20 @ Y1 @ Y0)))))))) | ~spl0_10),
2.81/0.72	  inference(binary_proxy_clausification,[],[f1392])).
2.81/0.72	thf(f1392,plain,(
2.81/0.72	  ($false = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y2 @ Y0) & (sK20 @ Y1 @ Y2)) => (sK20 @ Y1 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y1 @ Y0) | (sK3 @ Y1 @ Y0)) => (sK20 @ Y1 @ Y0))))))) => (sK20 @ sK19 @ sK15))) | ~spl0_10),
2.81/0.72	  inference(beta_eta_normalization,[],[f1391])).
2.81/0.72	thf(f1391,plain,(
2.81/0.72	  ($false = ((^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y2 @ Y1) | (sK3 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ sK19 @ sK15))) @ sK20)) | ~spl0_10),
2.81/0.72	  inference(sigma_clausification,[],[f1387])).
2.81/0.72	thf(f1387,plain,(
2.81/0.72	  ($false = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y2 @ Y1) | (sK3 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ sK19 @ sK15))))) | ~spl0_10),
2.81/0.72	  inference(boolean_simplification,[],[f1386])).
2.81/0.72	thf(f1386,plain,(
2.81/0.72	  ($false = ($true => (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y2 @ Y1) | (sK3 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ sK19 @ sK15)))))) | ~spl0_10),
2.81/0.72	  inference(backward_demodulation,[],[f1372,f1385])).
2.81/0.72	thf(f1385,plain,(
2.81/0.72	  (((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK17 @ sK15)))) & (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK19 @ sK17))))) = $true) | ~spl0_10),
2.81/0.72	  inference(binary_proxy_clausification,[],[f1372])).
2.81/0.72	thf(f1372,plain,(
2.81/0.72	  ($false = (((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK17 @ sK15)))) & (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK19 @ sK17))))) => (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y2 @ Y1) | (sK3 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ sK19 @ sK15)))))) | ~spl0_10),
2.81/0.72	  inference(beta_eta_normalization,[],[f1371])).
2.81/0.72	thf(f1371,plain,(
2.81/0.72	  (((^[Y0 : a]: (((!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y4 @ Y3) & (Y1 @ Y2 @ Y4)) => (Y1 @ Y2 @ Y3)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK17 @ sK15)))) & (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y3 @ Y4) & (Y1 @ Y4 @ Y2)) => (Y1 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ Y0 @ sK17))))) => (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y4 @ Y2) & (Y1 @ Y3 @ Y4)) => (Y1 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y3 @ Y2) | (sK3 @ Y3 @ Y2)) => (Y1 @ Y3 @ Y2))))))) => (Y1 @ Y0 @ sK15)))))) @ sK19) = $false) | ~spl0_10),
2.81/0.72	  inference(sigma_clausification,[],[f1350])).
2.81/0.72	thf(f1350,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (((!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y4 @ Y3) & (Y1 @ Y2 @ Y4)) => (Y1 @ Y2 @ Y3)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK17 @ sK15)))) & (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y3 @ Y4) & (Y1 @ Y4 @ Y2)) => (Y1 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ Y0 @ sK17))))) => (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y4 @ Y2) & (Y1 @ Y3 @ Y4)) => (Y1 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y3 @ Y2) | (sK3 @ Y3 @ Y2)) => (Y1 @ Y3 @ Y2))))))) => (Y1 @ Y0 @ sK15)))))))) | ~spl0_10),
2.81/0.72	  inference(beta_eta_normalization,[],[f1349])).
2.81/0.72	thf(f1349,plain,(
2.81/0.72	  (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ sK15)))) & (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y4 @ Y5) & (Y2 @ Y5 @ Y3)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y1 @ Y0))))) => (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y4 @ Y3) | (sK3 @ Y4 @ Y3)) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y1 @ sK15)))))))) @ sK17) = $false) | ~spl0_10),
2.81/0.72	  inference(sigma_clausification,[],[f1334])).
2.81/0.72	thf(f1334,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ sK15)))) & (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y4 @ Y5) & (Y2 @ Y5 @ Y3)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y1 @ Y0))))) => (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y4 @ Y3) | (sK3 @ Y4 @ Y3)) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y1 @ sK15)))))))))) | ~spl0_10),
2.81/0.72	  inference(beta_eta_normalization,[],[f1333])).
2.81/0.72	thf(f1333,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y5) & (Y3 @ Y4 @ Y6)) => (Y3 @ Y4 @ Y5)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y1 @ Y0)))) & (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y5 @ Y6) & (Y3 @ Y6 @ Y4)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y2 @ Y1))))) => (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y4) & (Y3 @ Y5 @ Y6)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y5 @ Y4) | (sK3 @ Y5 @ Y4)) => (Y3 @ Y5 @ Y4))))))) => (Y3 @ Y2 @ Y0)))))))))) @ sK15)) | ~spl0_10),
2.81/0.72	  inference(sigma_clausification,[],[f261])).
2.81/0.72	thf(f2187,plain,(
2.81/0.72	  ~spl0_10 | ~spl0_45),
2.81/0.72	  inference(avatar_contradiction_clause,[],[f2186])).
2.81/0.72	thf(f2186,plain,(
2.81/0.72	  $false | (~spl0_10 | ~spl0_45)),
2.81/0.72	  inference(trivial_inequality_removal,[],[f2182])).
2.81/0.72	thf(f2182,plain,(
2.81/0.72	  ($false = $true) | (~spl0_10 | ~spl0_45)),
2.81/0.72	  inference(superposition,[],[f2171,f1534])).
2.81/0.72	thf(f1534,plain,(
2.81/0.72	  ( ! [X2 : a,X1 : a] : (($true = (((sK4 @ X2 @ X1) | (sK3 @ X2 @ X1)) => (sK20 @ X2 @ X1)))) ) | ~spl0_10),
2.81/0.72	  inference(beta_eta_normalization,[],[f1533])).
2.81/0.72	thf(f1533,plain,(
2.81/0.72	  ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: (((sK4 @ Y0 @ X1) | (sK3 @ Y0 @ X1)) => (sK20 @ Y0 @ X1))) @ X2))) ) | ~spl0_10),
2.81/0.72	  inference(pi_clausification,[],[f1529])).
2.81/0.72	thf(f1529,plain,(
2.81/0.72	  ( ! [X1 : a] : (((!! @ a @ (^[Y0 : a]: (((sK4 @ Y0 @ X1) | (sK3 @ Y0 @ X1)) => (sK20 @ Y0 @ X1)))) = $true)) ) | ~spl0_10),
2.81/0.72	  inference(beta_eta_normalization,[],[f1528])).
2.81/0.72	thf(f1528,plain,(
2.81/0.72	  ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y1 @ Y0) | (sK3 @ Y1 @ Y0)) => (sK20 @ Y1 @ Y0))))) @ X1))) ) | ~spl0_10),
2.81/0.72	  inference(pi_clausification,[],[f1415])).
2.81/0.72	thf(f2171,plain,(
2.81/0.72	  ($false = (((sK4 @ sK30 @ sK31) | (sK3 @ sK30 @ sK31)) => (sK20 @ sK30 @ sK31))) | ~spl0_45),
2.81/0.72	  inference(beta_eta_normalization,[],[f2170])).
2.81/0.72	thf(f2170,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (((sK4 @ sK30 @ Y0) | (sK3 @ sK30 @ Y0)) => (sK20 @ sK30 @ Y0))) @ sK31)) | ~spl0_45),
2.81/0.72	  inference(sigma_clausification,[],[f2164])).
2.81/0.72	thf(f2164,plain,(
2.81/0.72	  ((!! @ a @ (^[Y0 : a]: (((sK4 @ sK30 @ Y0) | (sK3 @ sK30 @ Y0)) => (sK20 @ sK30 @ Y0)))) = $false) | ~spl0_45),
2.81/0.72	  inference(beta_eta_normalization,[],[f2159])).
2.81/0.72	thf(f2159,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK20 @ Y0 @ Y1))))) @ sK30)) | ~spl0_45),
2.81/0.72	  inference(sigma_clausification,[],[f2139])).
2.81/0.72	thf(f2139,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK20 @ Y0 @ Y1))))))) | ~spl0_45),
2.81/0.72	  inference(avatar_component_clause,[],[f2138])).
2.81/0.72	thf(f2143,plain,(
2.81/0.72	  spl0_45 | spl0_46 | ~spl0_10 | ~spl0_43),
2.81/0.72	  inference(avatar_split_clause,[],[f2134,f2017,f260,f2141,f2138])).
2.81/0.72	thf(f2017,plain,(
2.81/0.72	  spl0_43 <=> ($false = (sK20 @ sK17 @ sK15))),
2.81/0.72	  introduced(avatar_definition,[new_symbols(naming,[spl0_43])])).
2.81/0.72	thf(f2134,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK20 @ Y0 @ Y1))))))) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y2 @ Y1) & (sK20 @ Y0 @ Y2)) => (sK20 @ Y0 @ Y1)))))))) = $false) | (~spl0_10 | ~spl0_43)),
2.81/0.72	  inference(binary_proxy_clausification,[],[f2113])).
2.81/0.72	thf(f2113,plain,(
2.81/0.72	  ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y2 @ Y1) & (sK20 @ Y0 @ Y2)) => (sK20 @ Y0 @ Y1)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK20 @ Y0 @ Y1)))))))) | (~spl0_10 | ~spl0_43)),
2.81/0.72	  inference(not_proxy_clausification,[],[f2036])).
2.81/0.72	thf(f2036,plain,(
2.81/0.72	  ($true = (~ ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y2 @ Y1) & (sK20 @ Y0 @ Y2)) => (sK20 @ Y0 @ Y1)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK20 @ Y0 @ Y1))))))))) | (~spl0_10 | ~spl0_43)),
2.81/0.72	  inference(boolean_simplification,[],[f2028])).
2.81/0.72	thf(f2028,plain,(
2.81/0.72	  ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y2 @ Y1) & (sK20 @ Y0 @ Y2)) => (sK20 @ Y0 @ Y1)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK20 @ Y0 @ Y1))))))) => $false) = $true) | (~spl0_10 | ~spl0_43)),
2.81/0.72	  inference(superposition,[],[f1497,f2018])).
2.81/0.72	thf(f2018,plain,(
2.81/0.72	  ($false = (sK20 @ sK17 @ sK15)) | ~spl0_43),
2.81/0.72	  inference(avatar_component_clause,[],[f2017])).
2.81/0.72	thf(f1497,plain,(
2.81/0.72	  ( ! [X1 : a > a > $o] : (((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((X1 @ Y2 @ Y1) & (X1 @ Y0 @ Y2)) => (X1 @ Y0 @ Y1)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (X1 @ Y0 @ Y1))))))) => (X1 @ sK17 @ sK15)) = $true)) ) | ~spl0_10),
2.81/0.72	  inference(beta_eta_normalization,[],[f1496])).
2.81/0.72	thf(f1496,plain,(
2.81/0.72	  ( ! [X1 : a > a > $o] : (($true = ((^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK17 @ sK15))) @ X1))) ) | ~spl0_10),
2.81/0.72	  inference(pi_clausification,[],[f1491])).
2.81/0.72	thf(f1491,plain,(
2.81/0.72	  ($true = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK17 @ sK15))))) | ~spl0_10),
2.81/0.72	  inference(boolean_simplification,[],[f1490])).
2.81/0.72	thf(f1490,plain,(
2.81/0.72	  (((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK17 @ sK15)))) & $true) = $true) | ~spl0_10),
2.81/0.72	  inference(backward_demodulation,[],[f1385,f1488])).
2.81/0.72	thf(f1488,plain,(
2.81/0.72	  ($true = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK19 @ sK17))))) | ~spl0_10),
2.81/0.72	  inference(binary_proxy_clausification,[],[f1385])).
2.81/0.72	thf(f2022,plain,(
2.81/0.72	  spl0_43 | spl0_44 | ~spl0_10),
2.81/0.72	  inference(avatar_split_clause,[],[f2000,f260,f2020,f2017])).
2.81/0.72	thf(f2000,plain,(
2.81/0.72	  ($false = (sK20 @ sK17 @ sK15)) | ($true = (~ ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y1 @ Y2) & (sK20 @ Y2 @ Y0)) => (sK20 @ Y1 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK20 @ Y0 @ Y1))))))))) | ~spl0_10),
2.81/0.72	  inference(boolean_simplification,[],[f1997])).
2.81/0.72	thf(f1997,plain,(
2.81/0.72	  ($false = (sK20 @ sK17 @ sK15)) | ($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK20 @ Y1 @ Y2) & (sK20 @ Y2 @ Y0)) => (sK20 @ Y1 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK20 @ Y0 @ Y1))))))) => $false)) | ~spl0_10),
2.81/0.72	  inference(superposition,[],[f1624,f1521])).
2.81/0.72	thf(f1521,plain,(
2.81/0.72	  ( ! [X0 : a] : (($false = (sK20 @ sK19 @ X0)) | ($false = (sK20 @ X0 @ sK15))) ) | ~spl0_10),
2.81/0.72	  inference(binary_proxy_clausification,[],[f1512])).
2.81/0.72	thf(f1512,plain,(
2.81/0.72	  ( ! [X0 : a] : (($false = ((sK20 @ X0 @ sK15) & (sK20 @ sK19 @ X0)))) ) | ~spl0_10),
2.81/0.72	  inference(not_proxy_clausification,[],[f1481])).
2.81/0.72	thf(f1481,plain,(
2.81/0.72	  ( ! [X0 : a] : (($true = (~ ((sK20 @ X0 @ sK15) & (sK20 @ sK19 @ X0))))) ) | ~spl0_10),
2.81/0.72	  inference(boolean_simplification,[],[f1469])).
2.81/0.72	thf(f1469,plain,(
2.81/0.72	  ( ! [X0 : a] : (($true = (((sK20 @ X0 @ sK15) & (sK20 @ sK19 @ X0)) => $false))) ) | ~spl0_10),
2.81/0.72	  inference(superposition,[],[f1463,f1414])).
2.81/0.72	thf(f1414,plain,(
2.81/0.72	  ((sK20 @ sK19 @ sK15) = $false) | ~spl0_10),
2.81/0.72	  inference(boolean_simplification,[],[f1413])).
2.81/0.72	thf(f1413,plain,(
2.81/0.72	  ($false = ($true => (sK20 @ sK19 @ sK15))) | ~spl0_10),
2.81/0.72	  inference(backward_demodulation,[],[f1392,f1412])).
2.81/0.72	thf(f1463,plain,(
2.81/0.72	  ( ! [X2 : a,X3 : a,X1 : a] : (($true = (((sK20 @ X3 @ X1) & (sK20 @ X2 @ X3)) => (sK20 @ X2 @ X1)))) ) | ~spl0_10),
2.81/0.72	  inference(beta_eta_normalization,[],[f1462])).
2.81/0.72	thf(f1462,plain,(
2.81/0.72	  ( ! [X2 : a,X3 : a,X1 : a] : (($true = ((^[Y0 : a]: (((sK20 @ Y0 @ X1) & (sK20 @ X2 @ Y0)) => (sK20 @ X2 @ X1))) @ X3))) ) | ~spl0_10),
2.81/0.72	  inference(pi_clausification,[],[f1448])).
2.81/0.72	thf(f1624,plain,(
2.81/0.72	  ( ! [X1 : a > a > $o] : (((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((X1 @ Y1 @ Y2) & (X1 @ Y2 @ Y0)) => (X1 @ Y1 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (X1 @ Y0 @ Y1))))))) => (X1 @ sK19 @ sK17)) = $true)) ) | ~spl0_10),
2.81/0.72	  inference(beta_eta_normalization,[],[f1623])).
2.81/0.72	thf(f1623,plain,(
2.81/0.72	  ( ! [X1 : a > a > $o] : (($true = ((^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK19 @ sK17))) @ X1))) ) | ~spl0_10),
2.81/0.72	  inference(pi_clausification,[],[f1488])).
2.81/0.72	thf(f1314,plain,(
2.81/0.72	  ~spl0_32),
2.81/0.72	  inference(avatar_contradiction_clause,[],[f1313])).
2.81/0.72	thf(f1313,plain,(
2.81/0.72	  $false | ~spl0_32),
2.81/0.72	  inference(trivial_inequality_removal,[],[f1312])).
2.81/0.72	thf(f1312,plain,(
2.81/0.72	  ($false = $true) | ~spl0_32),
2.81/0.72	  inference(boolean_simplification,[],[f1311])).
2.81/0.72	thf(f1311,plain,(
2.81/0.72	  ($true = (~ $true)) | ~spl0_32),
2.81/0.72	  inference(forward_demodulation,[],[f1287,f1231])).
2.81/0.72	thf(f1231,plain,(
2.81/0.72	  ($true = (sK6 @ sK29 @ sK28)) | ~spl0_32),
2.81/0.72	  inference(binary_proxy_clausification,[],[f1212])).
2.81/0.72	thf(f1212,plain,(
2.81/0.72	  (((sK6 @ sK28 @ sK27) & (sK6 @ sK29 @ sK28)) = $true) | ~spl0_32),
2.81/0.72	  inference(binary_proxy_clausification,[],[f1171])).
2.81/0.72	thf(f1171,plain,(
2.81/0.72	  ($false = (((sK6 @ sK28 @ sK27) & (sK6 @ sK29 @ sK28)) => (sK6 @ sK29 @ sK27))) | ~spl0_32),
2.81/0.72	  inference(beta_eta_normalization,[],[f1170])).
2.81/0.72	thf(f1170,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (((sK6 @ sK28 @ sK27) & (sK6 @ Y0 @ sK28)) => (sK6 @ Y0 @ sK27))) @ sK29)) | ~spl0_32),
2.81/0.72	  inference(sigma_clausification,[],[f1165])).
2.81/0.72	thf(f1165,plain,(
2.81/0.72	  ((!! @ a @ (^[Y0 : a]: (((sK6 @ sK28 @ sK27) & (sK6 @ Y0 @ sK28)) => (sK6 @ Y0 @ sK27)))) = $false) | ~spl0_32),
2.81/0.72	  inference(beta_eta_normalization,[],[f1164])).
2.81/0.72	thf(f1164,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0 @ sK27) & (sK6 @ Y1 @ Y0)) => (sK6 @ Y1 @ sK27))))) @ sK28)) | ~spl0_32),
2.81/0.72	  inference(sigma_clausification,[],[f1155])).
2.81/0.72	thf(f1155,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0 @ sK27) & (sK6 @ Y1 @ Y0)) => (sK6 @ Y1 @ sK27))))))) | ~spl0_32),
2.81/0.72	  inference(beta_eta_normalization,[],[f1153])).
2.81/0.72	thf(f1153,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK6 @ Y1 @ Y0) & (sK6 @ Y2 @ Y1)) => (sK6 @ Y2 @ Y0))))))) @ sK27)) | ~spl0_32),
2.81/0.72	  inference(sigma_clausification,[],[f1072])).
2.81/0.72	thf(f1072,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK6 @ Y1 @ Y0) & (sK6 @ Y2 @ Y1)) => (sK6 @ Y2 @ Y0))))))))) | ~spl0_32),
2.81/0.72	  inference(avatar_component_clause,[],[f1071])).
2.81/0.72	thf(f1071,plain,(
2.81/0.72	  spl0_32 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK6 @ Y1 @ Y0) & (sK6 @ Y2 @ Y1)) => (sK6 @ Y2 @ Y0)))))))))),
2.81/0.72	  introduced(avatar_definition,[new_symbols(naming,[spl0_32])])).
2.81/0.72	thf(f1287,plain,(
2.81/0.72	  ($true = (~ (sK6 @ sK29 @ sK28))) | ~spl0_32),
2.81/0.72	  inference(boolean_simplification,[],[f1280])).
2.81/0.72	thf(f1280,plain,(
2.81/0.72	  (((sK6 @ sK29 @ sK28) => $false) = $true) | ~spl0_32),
2.81/0.72	  inference(superposition,[],[f1241,f1211])).
2.81/0.72	thf(f1211,plain,(
2.81/0.72	  ($false = (sK6 @ sK29 @ sK27)) | ~spl0_32),
2.81/0.72	  inference(binary_proxy_clausification,[],[f1171])).
2.81/0.72	thf(f1241,plain,(
2.81/0.72	  ( ! [X0 : a] : (($true = ((sK6 @ X0 @ sK28) => (sK6 @ X0 @ sK27)))) ) | ~spl0_32),
2.81/0.72	  inference(boolean_simplification,[],[f1239])).
2.81/0.72	thf(f1239,plain,(
2.81/0.72	  ( ! [X0 : a] : (($true = (((sK6 @ X0 @ sK28) & $true) => (sK6 @ X0 @ sK27)))) ) | ~spl0_32),
2.81/0.72	  inference(superposition,[],[f39,f1234])).
2.81/0.72	thf(f1234,plain,(
2.81/0.72	  ($true = (sK6 @ sK28 @ sK27)) | ~spl0_32),
2.81/0.72	  inference(boolean_simplification,[],[f1233])).
2.81/0.72	thf(f1233,plain,(
2.81/0.72	  ($true = ((sK6 @ sK28 @ sK27) & $true)) | ~spl0_32),
2.81/0.72	  inference(backward_demodulation,[],[f1212,f1231])).
2.81/0.72	thf(f39,plain,(
2.81/0.72	  ( ! [X2 : a,X3 : a,X1 : a] : (($true = (((sK6 @ X1 @ X2) & (sK6 @ X2 @ X3)) => (sK6 @ X1 @ X3)))) )),
2.81/0.72	  inference(beta_eta_normalization,[],[f38])).
2.81/0.72	thf(f38,plain,(
2.81/0.72	  ( ! [X2 : a,X3 : a,X1 : a] : (($true = ((^[Y0 : a]: (((sK6 @ X1 @ X2) & (sK6 @ X2 @ Y0)) => (sK6 @ X1 @ Y0))) @ X3))) )),
2.81/0.72	  inference(pi_clausification,[],[f37])).
2.81/0.72	thf(f37,plain,(
2.81/0.72	  ( ! [X2 : a,X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: (((sK6 @ X1 @ X2) & (sK6 @ X2 @ Y0)) => (sK6 @ X1 @ Y0)))))) )),
2.81/0.72	  inference(beta_eta_normalization,[],[f36])).
2.81/0.72	thf(f36,plain,(
2.81/0.72	  ( ! [X2 : a,X1 : a] : ((((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ X1 @ Y0) & (sK6 @ Y0 @ Y1)) => (sK6 @ X1 @ Y1))))) @ X2) = $true)) )),
2.81/0.72	  inference(pi_clausification,[],[f35])).
2.81/0.72	thf(f35,plain,(
2.81/0.72	  ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ X1 @ Y0) & (sK6 @ Y0 @ Y1)) => (sK6 @ X1 @ Y1)))))))) )),
2.81/0.72	  inference(beta_eta_normalization,[],[f34])).
2.81/0.72	thf(f34,plain,(
2.81/0.72	  ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK6 @ Y0 @ Y1) & (sK6 @ Y1 @ Y2)) => (sK6 @ Y0 @ Y2))))))) @ X1))) )),
2.81/0.72	  inference(pi_clausification,[],[f33])).
2.81/0.72	thf(f33,plain,(
2.81/0.72	  ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK6 @ Y0 @ Y1) & (sK6 @ Y1 @ Y2)) => (sK6 @ Y0 @ Y2)))))))))),
2.81/0.72	  inference(boolean_simplification,[],[f32])).
2.81/0.72	thf(f32,plain,(
2.81/0.72	  ($true = ($true & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK6 @ Y0 @ Y1) & (sK6 @ Y1 @ Y2)) => (sK6 @ Y0 @ Y2))))))))))),
2.81/0.72	  inference(backward_demodulation,[],[f25,f31])).
2.81/0.72	thf(f1147,plain,(
2.81/0.72	  spl0_33 | spl0_34 | ~spl0_31),
2.81/0.72	  inference(avatar_split_clause,[],[f1140,f1068,f1145,f1142])).
2.81/0.72	thf(f1140,plain,(
2.81/0.72	  ($true = (sK3 @ sK26 @ sK25)) | ((sK4 @ sK26 @ sK25) = $true) | ~spl0_31),
2.81/0.72	  inference(binary_proxy_clausification,[],[f1121])).
2.81/0.72	thf(f1121,plain,(
2.81/0.72	  ($true = ((sK3 @ sK26 @ sK25) | (sK4 @ sK26 @ sK25))) | ~spl0_31),
2.81/0.72	  inference(binary_proxy_clausification,[],[f1106])).
2.81/0.72	thf(f1106,plain,(
2.81/0.72	  ((((sK3 @ sK26 @ sK25) | (sK4 @ sK26 @ sK25)) => (sK6 @ sK26 @ sK25)) = $false) | ~spl0_31),
2.81/0.72	  inference(beta_eta_normalization,[],[f1105])).
2.81/0.72	thf(f1105,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (((sK3 @ Y0 @ sK25) | (sK4 @ Y0 @ sK25)) => (sK6 @ Y0 @ sK25))) @ sK26)) | ~spl0_31),
2.81/0.72	  inference(sigma_clausification,[],[f1084])).
2.81/0.72	thf(f1084,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (((sK3 @ Y0 @ sK25) | (sK4 @ Y0 @ sK25)) => (sK6 @ Y0 @ sK25))))) | ~spl0_31),
2.81/0.72	  inference(beta_eta_normalization,[],[f1080])).
2.81/0.72	thf(f1080,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) | (sK4 @ Y1 @ Y0)) => (sK6 @ Y1 @ Y0))))) @ sK25)) | ~spl0_31),
2.81/0.72	  inference(sigma_clausification,[],[f1069])).
2.81/0.72	thf(f1073,plain,(
2.81/0.72	  spl0_31 | spl0_32 | ~spl0_9),
2.81/0.72	  inference(avatar_split_clause,[],[f1064,f257,f1071,f1068])).
2.81/0.72	thf(f257,plain,(
2.81/0.72	  spl0_9 <=> ($false = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) | (sK4 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ sK5 @ sK2))))))),
2.81/0.72	  introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
2.81/0.72	thf(f1064,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK6 @ Y1 @ Y0) & (sK6 @ Y2 @ Y1)) => (sK6 @ Y2 @ Y0))))))))) | ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) | (sK4 @ Y1 @ Y0)) => (sK6 @ Y1 @ Y0))))))) | ~spl0_9),
2.81/0.72	  inference(binary_proxy_clausification,[],[f1057])).
2.81/0.72	thf(f1057,plain,(
2.81/0.72	  ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK6 @ Y1 @ Y0) & (sK6 @ Y2 @ Y1)) => (sK6 @ Y2 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) | (sK4 @ Y1 @ Y0)) => (sK6 @ Y1 @ Y0)))))))) | ~spl0_9),
2.81/0.72	  inference(not_proxy_clausification,[],[f1049])).
2.81/0.72	thf(f1049,plain,(
2.81/0.72	  ((~ ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK6 @ Y1 @ Y0) & (sK6 @ Y2 @ Y1)) => (sK6 @ Y2 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) | (sK4 @ Y1 @ Y0)) => (sK6 @ Y1 @ Y0)))))))) = $true) | ~spl0_9),
2.81/0.72	  inference(boolean_simplification,[],[f1044])).
2.81/0.72	thf(f1044,plain,(
2.81/0.72	  ($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK6 @ Y1 @ Y0) & (sK6 @ Y2 @ Y1)) => (sK6 @ Y2 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) | (sK4 @ Y1 @ Y0)) => (sK6 @ Y1 @ Y0))))))) => $false)) | ~spl0_9),
2.81/0.72	  inference(superposition,[],[f1038,f24])).
2.81/0.72	thf(f24,plain,(
2.81/0.72	  ($false = (sK6 @ sK5 @ sK2))),
2.81/0.72	  inference(binary_proxy_clausification,[],[f23])).
2.81/0.72	thf(f1038,plain,(
2.81/0.72	  ( ! [X1 : a > a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((X1 @ Y1 @ Y0) & (X1 @ Y2 @ Y1)) => (X1 @ Y2 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y1 @ Y0) | (sK4 @ Y1 @ Y0)) => (X1 @ Y1 @ Y0))))))) => (X1 @ sK5 @ sK2)))) ) | ~spl0_9),
2.81/0.72	  inference(beta_eta_normalization,[],[f1037])).
2.81/0.72	thf(f1037,plain,(
2.81/0.72	  ( ! [X1 : a > a > $o] : ((((^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) | (sK4 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ sK5 @ sK2))) @ X1) = $true)) ) | ~spl0_9),
2.81/0.72	  inference(pi_clausification,[],[f1021])).
2.81/0.72	thf(f1021,plain,(
2.81/0.72	  ($true = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) | (sK4 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ sK5 @ sK2))))) | ~spl0_9),
2.81/0.72	  inference(not_proxy_clausification,[],[f258])).
2.81/0.72	thf(f258,plain,(
2.81/0.72	  ($false = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) | (sK4 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ sK5 @ sK2)))))) | ~spl0_9),
2.81/0.72	  inference(avatar_component_clause,[],[f257])).
2.81/0.72	thf(f457,plain,(
2.81/0.72	  spl0_13 | spl0_14 | ~spl0_2 | ~spl0_4),
2.81/0.72	  inference(avatar_split_clause,[],[f448,f118,f54,f455,f452])).
2.81/0.72	thf(f448,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y2 @ Y0) & (sK9 @ Y1 @ Y2)) => (sK9 @ Y1 @ Y0))))))))) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK4 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1)))))) = $false) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(binary_proxy_clausification,[],[f437])).
2.81/0.72	thf(f437,plain,(
2.81/0.72	  ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y2 @ Y0) & (sK9 @ Y1 @ Y2)) => (sK9 @ Y1 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK4 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1)))))))) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(not_proxy_clausification,[],[f411])).
2.81/0.72	thf(f411,plain,(
2.81/0.72	  ($true = (~ ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y2 @ Y0) & (sK9 @ Y1 @ Y2)) => (sK9 @ Y1 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK4 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1))))))))) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(boolean_simplification,[],[f410])).
2.81/0.72	thf(f410,plain,(
2.81/0.72	  ($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y2 @ Y0) & (sK9 @ Y1 @ Y2)) => (sK9 @ Y1 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK4 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1))))))) => $false)) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(superposition,[],[f399,f364])).
2.81/0.72	thf(f364,plain,(
2.81/0.72	  ($false = (sK9 @ sK7 @ sK8)) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(boolean_simplification,[],[f363])).
2.81/0.72	thf(f363,plain,(
2.81/0.72	  ($false = ($true => (sK9 @ sK7 @ sK8))) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(backward_demodulation,[],[f357,f362])).
2.81/0.72	thf(f362,plain,(
2.81/0.72	  (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK9 @ Y0 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y2) & (sK9 @ Y1 @ Y0)) => (sK9 @ Y1 @ Y2))))))))) = $true) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(binary_proxy_clausification,[],[f357])).
2.81/0.72	thf(f357,plain,(
2.81/0.72	  ($false = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK9 @ Y0 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y2) & (sK9 @ Y1 @ Y0)) => (sK9 @ Y1 @ Y2))))))))) => (sK9 @ sK7 @ sK8))) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(beta_eta_normalization,[],[f356])).
2.81/0.72	thf(f356,plain,(
2.81/0.72	  ($false = ((^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8))) @ sK9)) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(sigma_clausification,[],[f347])).
2.81/0.72	thf(f347,plain,(
2.81/0.72	  ($false = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8))))) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(boolean_simplification,[],[f346])).
2.81/0.72	thf(f346,plain,(
2.81/0.72	  (($true => (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8))))) = $false) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(boolean_simplification,[],[f345])).
2.81/0.72	thf(f345,plain,(
2.81/0.72	  ($false = (($true | (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8))))) => (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8)))))) | (~spl0_2 | ~spl0_4)),
2.81/0.72	  inference(forward_demodulation,[],[f274,f119])).
2.81/0.72	thf(f274,plain,(
2.81/0.72	  ($false = (((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK4 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8)))) | (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8))))) => (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8)))))) | ~spl0_2),
2.81/0.72	  inference(beta_eta_normalization,[],[f273])).
2.81/0.72	thf(f273,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (((!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y4 @ Y2) & (Y1 @ Y3 @ Y4)) => (Y1 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK4 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK7 @ Y0)))) | (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y2 @ Y3) & (Y1 @ Y4 @ Y2)) => (Y1 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK7 @ Y0))))) => (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) => (Y1 @ Y2 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y3 @ Y2)) => (Y1 @ Y3 @ Y4))))))))) => (Y1 @ sK7 @ Y0)))))) @ sK8)) | ~spl0_2),
2.81/0.72	  inference(sigma_clausification,[],[f268])).
2.81/0.72	thf(f268,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (((!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y4 @ Y2) & (Y1 @ Y3 @ Y4)) => (Y1 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK4 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK7 @ Y0)))) | (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y2 @ Y3) & (Y1 @ Y4 @ Y2)) => (Y1 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK7 @ Y0))))) => (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) => (Y1 @ Y2 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y3 @ Y2)) => (Y1 @ Y3 @ Y4))))))))) => (Y1 @ sK7 @ Y0)))))))) | ~spl0_2),
2.81/0.72	  inference(beta_eta_normalization,[],[f267])).
2.81/0.72	thf(f267,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK4 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ Y1)))) | (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y5 @ Y3)) => (Y2 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK3 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ Y1))))) => (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y4 @ Y3)) => (Y2 @ Y4 @ Y5))))))))) => (Y2 @ Y0 @ Y1)))))))) @ sK7)) | ~spl0_2),
2.81/0.72	  inference(sigma_clausification,[],[f55])).
2.81/0.72	thf(f399,plain,(
2.81/0.72	  ( ! [X1 : a > a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((X1 @ Y2 @ Y0) & (X1 @ Y1 @ Y2)) => (X1 @ Y1 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK4 @ Y0 @ Y1) => (X1 @ Y0 @ Y1))))))) => (X1 @ sK7 @ sK8)))) ) | ~spl0_4),
2.81/0.72	  inference(beta_eta_normalization,[],[f398])).
2.81/0.72	thf(f398,plain,(
2.81/0.72	  ( ! [X1 : a > a > $o] : (($true = ((^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK4 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8))) @ X1))) ) | ~spl0_4),
2.81/0.72	  inference(pi_clausification,[],[f119])).
2.81/0.72	thf(f342,plain,(
2.81/0.72	  ~spl0_2 | ~spl0_3 | ~spl0_5),
2.81/0.72	  inference(avatar_contradiction_clause,[],[f341])).
2.81/0.72	thf(f341,plain,(
2.81/0.72	  $false | (~spl0_2 | ~spl0_3 | ~spl0_5)),
2.81/0.72	  inference(trivial_inequality_removal,[],[f340])).
2.81/0.72	thf(f340,plain,(
2.81/0.72	  ($false = $true) | (~spl0_2 | ~spl0_3 | ~spl0_5)),
2.81/0.72	  inference(forward_demodulation,[],[f330,f308])).
2.81/0.72	thf(f308,plain,(
2.81/0.72	  ((sK9 @ sK12 @ sK13) = $false) | ~spl0_5),
2.81/0.72	  inference(binary_proxy_clausification,[],[f283])).
2.81/0.72	thf(f283,plain,(
2.81/0.72	  ($false = ((sK3 @ sK12 @ sK13) => (sK9 @ sK12 @ sK13))) | ~spl0_5),
2.81/0.72	  inference(beta_eta_normalization,[],[f282])).
2.81/0.72	thf(f282,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: ((sK3 @ sK12 @ Y0) => (sK9 @ sK12 @ Y0))) @ sK13)) | ~spl0_5),
2.81/0.72	  inference(sigma_clausification,[],[f279])).
2.81/0.72	thf(f279,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: ((sK3 @ sK12 @ Y0) => (sK9 @ sK12 @ Y0))))) | ~spl0_5),
2.81/0.72	  inference(beta_eta_normalization,[],[f278])).
2.81/0.72	thf(f278,plain,(
2.81/0.72	  (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK3 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1))))) @ sK12) = $false) | ~spl0_5),
2.81/0.72	  inference(sigma_clausification,[],[f222])).
2.81/0.72	thf(f222,plain,(
2.81/0.72	  ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK3 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1)))))) = $false) | ~spl0_5),
2.81/0.72	  inference(avatar_component_clause,[],[f221])).
2.81/0.72	thf(f221,plain,(
2.81/0.72	  spl0_5 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK3 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1)))))) = $false)),
2.81/0.72	  introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
2.81/0.72	thf(f330,plain,(
2.81/0.72	  ((sK9 @ sK12 @ sK13) = $true) | (~spl0_2 | ~spl0_3 | ~spl0_5)),
2.81/0.72	  inference(boolean_simplification,[],[f329])).
2.81/0.72	thf(f329,plain,(
2.81/0.72	  (($true => (sK9 @ sK12 @ sK13)) = $true) | (~spl0_2 | ~spl0_3 | ~spl0_5)),
2.81/0.72	  inference(boolean_simplification,[],[f325])).
2.81/0.72	thf(f325,plain,(
2.81/0.72	  ($true = (((sK4 @ sK12 @ sK13) | $true) => (sK9 @ sK12 @ sK13))) | (~spl0_2 | ~spl0_3 | ~spl0_5)),
2.81/0.72	  inference(superposition,[],[f317,f309])).
2.81/0.72	thf(f309,plain,(
2.81/0.72	  ($true = (sK3 @ sK12 @ sK13)) | ~spl0_5),
2.81/0.72	  inference(binary_proxy_clausification,[],[f283])).
2.81/0.72	thf(f317,plain,(
2.81/0.72	  ( ! [X2 : a,X1 : a] : (($true = (((sK4 @ X1 @ X2) | (sK3 @ X1 @ X2)) => (sK9 @ X1 @ X2)))) ) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(beta_eta_normalization,[],[f316])).
2.81/0.72	thf(f316,plain,(
2.81/0.72	  ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: (((sK4 @ X1 @ Y0) | (sK3 @ X1 @ Y0)) => (sK9 @ X1 @ Y0))) @ X2))) ) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(pi_clausification,[],[f315])).
2.81/0.72	thf(f315,plain,(
2.81/0.72	  ( ! [X1 : a] : (((!! @ a @ (^[Y0 : a]: (((sK4 @ X1 @ Y0) | (sK3 @ X1 @ Y0)) => (sK9 @ X1 @ Y0)))) = $true)) ) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(beta_eta_normalization,[],[f314])).
2.81/0.72	thf(f314,plain,(
2.81/0.72	  ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK9 @ Y0 @ Y1))))) @ X1))) ) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(pi_clausification,[],[f293])).
2.81/0.72	thf(f293,plain,(
2.81/0.72	  ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK9 @ Y0 @ Y1))))))) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(boolean_simplification,[],[f292])).
2.81/0.72	thf(f292,plain,(
2.81/0.72	  ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK9 @ Y0 @ Y1)))))) & $true)) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(backward_demodulation,[],[f285,f290])).
2.81/0.72	thf(f290,plain,(
2.81/0.72	  ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y2) & (sK9 @ Y1 @ Y0)) => (sK9 @ Y1 @ Y2))))))))) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(binary_proxy_clausification,[],[f285])).
2.81/0.72	thf(f285,plain,(
2.81/0.72	  (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK9 @ Y0 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y2) & (sK9 @ Y1 @ Y0)) => (sK9 @ Y1 @ Y2))))))))) = $true) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(binary_proxy_clausification,[],[f281])).
2.81/0.72	thf(f281,plain,(
2.81/0.72	  ($false = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK9 @ Y0 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y2) & (sK9 @ Y1 @ Y0)) => (sK9 @ Y1 @ Y2))))))))) => (sK9 @ sK7 @ sK8))) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(beta_eta_normalization,[],[f280])).
2.81/0.72	thf(f280,plain,(
2.81/0.72	  ($false = ((^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8))) @ sK9)) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(sigma_clausification,[],[f277])).
2.81/0.72	thf(f277,plain,(
2.81/0.72	  ($false = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8))))) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(boolean_simplification,[],[f276])).
2.81/0.72	thf(f276,plain,(
2.81/0.72	  (($true => (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8))))) = $false) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(boolean_simplification,[],[f275])).
2.81/0.72	thf(f275,plain,(
2.81/0.72	  ($false = (((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK4 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8)))) | $true) => (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8)))))) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(forward_demodulation,[],[f274,f116])).
2.81/0.72	thf(f262,plain,(
2.81/0.72	  spl0_9 | spl0_10 | ~spl0_1),
2.81/0.72	  inference(avatar_split_clause,[],[f255,f51,f260,f257])).
2.81/0.72	thf(f51,plain,(
2.81/0.72	  spl0_1 <=> ($false = ((~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) | (sK4 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ sK5 @ sK2))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y5) & (Y3 @ Y4 @ Y6)) => (Y3 @ Y4 @ Y5)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y1 @ Y0)))) & (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y5 @ Y6) & (Y3 @ Y6 @ Y4)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y2 @ Y1))))) => (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y4) & (Y3 @ Y5 @ Y6)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y5 @ Y4) | (sK3 @ Y5 @ Y4)) => (Y3 @ Y5 @ Y4))))))) => (Y3 @ Y2 @ Y0)))))))))))))),
2.81/0.72	  introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
2.81/0.72	thf(f255,plain,(
2.81/0.72	  ($false = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) | (sK4 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ sK5 @ sK2)))))) | ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y5) & (Y3 @ Y4 @ Y6)) => (Y3 @ Y4 @ Y5)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y1 @ Y0)))) & (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y5 @ Y6) & (Y3 @ Y6 @ Y4)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y2 @ Y1))))) => (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y4) & (Y3 @ Y5 @ Y6)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y5 @ Y4) | (sK3 @ Y5 @ Y4)) => (Y3 @ Y5 @ Y4))))))) => (Y3 @ Y2 @ Y0)))))))))))) | ~spl0_1),
2.81/0.72	  inference(binary_proxy_clausification,[],[f52])).
2.81/0.72	thf(f52,plain,(
2.81/0.72	  ($false = ((~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) | (sK4 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ sK5 @ sK2))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y5) & (Y3 @ Y4 @ Y6)) => (Y3 @ Y4 @ Y5)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y1 @ Y0)))) & (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y5 @ Y6) & (Y3 @ Y6 @ Y4)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y2 @ Y1))))) => (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y4) & (Y3 @ Y5 @ Y6)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y5 @ Y4) | (sK3 @ Y5 @ Y4)) => (Y3 @ Y5 @ Y4))))))) => (Y3 @ Y2 @ Y0))))))))))))) | ~spl0_1),
2.81/0.72	  inference(avatar_component_clause,[],[f51])).
2.81/0.72	thf(f226,plain,(
2.81/0.72	  spl0_5 | spl0_6 | ~spl0_2 | ~spl0_3),
2.81/0.72	  inference(avatar_split_clause,[],[f217,f115,f54,f224,f221])).
2.81/0.72	thf(f217,plain,(
2.81/0.72	  ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK3 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1)))))) = $false) | ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y1) & (sK9 @ Y2 @ Y0)) => (sK9 @ Y2 @ Y1))))))))) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(binary_proxy_clausification,[],[f132])).
2.81/0.72	thf(f132,plain,(
2.81/0.72	  ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y1) & (sK9 @ Y2 @ Y0)) => (sK9 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK3 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1)))))))) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(not_proxy_clausification,[],[f131])).
2.81/0.72	thf(f131,plain,(
2.81/0.72	  ($true = (~ ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y1) & (sK9 @ Y2 @ Y0)) => (sK9 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK3 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1))))))))) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(boolean_simplification,[],[f130])).
2.81/0.72	thf(f130,plain,(
2.81/0.72	  ($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y1) & (sK9 @ Y2 @ Y0)) => (sK9 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK3 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1))))))) => $false)) | (~spl0_2 | ~spl0_3)),
2.81/0.72	  inference(superposition,[],[f124,f103])).
2.81/0.72	thf(f103,plain,(
2.81/0.72	  ($false = (sK9 @ sK7 @ sK8)) | ~spl0_2),
2.81/0.72	  inference(binary_proxy_clausification,[],[f96])).
2.81/0.72	thf(f96,plain,(
2.81/0.72	  ($false = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK4 @ Y0 @ Y1) | (sK3 @ Y0 @ Y1)) => (sK9 @ Y0 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK9 @ Y0 @ Y2) & (sK9 @ Y1 @ Y0)) => (sK9 @ Y1 @ Y2))))))))) => (sK9 @ sK7 @ sK8))) | ~spl0_2),
2.81/0.72	  inference(beta_eta_normalization,[],[f95])).
2.81/0.72	thf(f95,plain,(
2.81/0.72	  ($false = ((^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8))) @ sK9)) | ~spl0_2),
2.81/0.72	  inference(sigma_clausification,[],[f81])).
2.81/0.72	thf(f81,plain,(
2.81/0.72	  ($false = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8))))) | ~spl0_2),
2.81/0.72	  inference(binary_proxy_clausification,[],[f78])).
2.81/0.72	thf(f78,plain,(
2.81/0.72	  ($false = (((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK4 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8)))) | (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8))))) => (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK4 @ Y1 @ Y2) | (sK3 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK7 @ sK8)))))) | ~spl0_2),
2.81/0.72	  inference(beta_eta_normalization,[],[f77])).
2.81/0.72	thf(f77,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (((!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y4 @ Y2) & (Y1 @ Y3 @ Y4)) => (Y1 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK4 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK7 @ Y0)))) | (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y2 @ Y3) & (Y1 @ Y4 @ Y2)) => (Y1 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK7 @ Y0))))) => (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) => (Y1 @ Y2 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y3 @ Y2)) => (Y1 @ Y3 @ Y4))))))))) => (Y1 @ sK7 @ Y0)))))) @ sK8)) | ~spl0_2),
2.81/0.72	  inference(sigma_clausification,[],[f69])).
2.81/0.72	thf(f69,plain,(
2.81/0.72	  ($false = (!! @ a @ (^[Y0 : a]: (((!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y4 @ Y2) & (Y1 @ Y3 @ Y4)) => (Y1 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK4 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK7 @ Y0)))) | (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y2 @ Y3) & (Y1 @ Y4 @ Y2)) => (Y1 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))) => (Y1 @ sK7 @ Y0))))) => (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK4 @ Y2 @ Y3) | (sK3 @ Y2 @ Y3)) => (Y1 @ Y2 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y3 @ Y2)) => (Y1 @ Y3 @ Y4))))))))) => (Y1 @ sK7 @ Y0)))))))) | ~spl0_2),
2.81/0.72	  inference(beta_eta_normalization,[],[f68])).
2.81/0.72	thf(f68,plain,(
2.81/0.72	  ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK4 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ Y1)))) | (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y5 @ Y3)) => (Y2 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK3 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ Y1))))) => (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y4 @ Y3)) => (Y2 @ Y4 @ Y5))))))))) => (Y2 @ Y0 @ Y1)))))))) @ sK7)) | ~spl0_2),
2.81/0.72	  inference(sigma_clausification,[],[f55])).
2.81/0.72	thf(f124,plain,(
2.81/0.72	  ( ! [X1 : a > a > $o] : (((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((X1 @ Y0 @ Y1) & (X1 @ Y2 @ Y0)) => (X1 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK3 @ Y0 @ Y1) => (X1 @ Y0 @ Y1))))))) => (X1 @ sK7 @ sK8)) = $true)) ) | ~spl0_3),
2.81/0.72	  inference(beta_eta_normalization,[],[f123])).
2.81/0.72	thf(f123,plain,(
2.81/0.72	  ( ! [X1 : a > a > $o] : (($true = ((^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8))) @ X1))) ) | ~spl0_3),
2.81/0.72	  inference(pi_clausification,[],[f116])).
2.81/0.72	thf(f120,plain,(
2.81/0.72	  spl0_3 | spl0_4 | ~spl0_2),
2.81/0.72	  inference(avatar_split_clause,[],[f113,f54,f118,f115])).
2.81/0.72	thf(f113,plain,(
2.81/0.72	  ($true = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK4 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8))))) | ($true = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8))))) | ~spl0_2),
2.81/0.72	  inference(binary_proxy_clausification,[],[f82])).
2.81/0.72	thf(f82,plain,(
2.81/0.72	  ($true = ((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK4 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8)))) | (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2))))))) => (Y0 @ sK7 @ sK8)))))) | ~spl0_2),
2.81/0.72	  inference(binary_proxy_clausification,[],[f78])).
2.81/0.72	thf(f56,plain,(
2.81/0.72	  spl0_1 | spl0_2),
2.81/0.72	  inference(avatar_split_clause,[],[f49,f54,f51])).
2.81/0.72	thf(f49,plain,(
2.81/0.72	  ($false = ((~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y2 @ Y1) | (sK4 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ sK5 @ sK2))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y5) & (Y3 @ Y4 @ Y6)) => (Y3 @ Y4 @ Y5)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y1 @ Y0)))) & (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y5 @ Y6) & (Y3 @ Y6 @ Y4)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y4 @ Y5) | (sK3 @ Y4 @ Y5)) => (Y3 @ Y4 @ Y5))))))) => (Y3 @ Y2 @ Y1))))) => (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y3 @ Y6 @ Y4) & (Y3 @ Y5 @ Y6)) => (Y3 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((sK4 @ Y5 @ Y4) | (sK3 @ Y5 @ Y4)) => (Y3 @ Y5 @ Y4))))))) => (Y3 @ Y2 @ Y0))))))))))))) | ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK4 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ Y1)))) | (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y5 @ Y3)) => (Y2 @ Y5 @ Y4)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK3 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4))))))) => (Y2 @ Y0 @ Y1))))) => (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK4 @ Y3 @ Y4) | (sK3 @ Y3 @ Y4)) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y4 @ Y3)) => (Y2 @ Y4 @ Y5))))))))) => (Y2 @ Y0 @ Y1))))))))))),
2.81/0.72	  inference(binary_proxy_clausification,[],[f19])).
2.81/0.72	% SZS output end Proof for Vampire---4
2.81/0.72	% (27580)------------------------------
2.81/0.72	% (27580)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.81/0.72	% (27580)Termination reason: Refutation
2.81/0.72	
2.81/0.72	% (27580)Memory used [KB]: 7547
2.81/0.72	% (27580)Time elapsed: 0.246 s
2.81/0.72	% (27580)Instructions burned: 643 (million)
2.81/0.72	% (27580)------------------------------
2.81/0.72	% (27580)------------------------------
2.81/0.72	% (27561)Success in time 0.367 s
2.81/0.72	% Vampire---4.8 exiting
2.81/0.72	EOF