0.05/0.10	% Problem    : Vampire---4.8_15295 : TPTP v0.0.0. Released v0.0.0.
0.05/0.11	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.10/0.31	% Computer : n003.cluster.edu
0.10/0.31	% Model    : x86_64 x86_64
0.10/0.31	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.31	% Memory   : 8042.1875MB
0.10/0.31	% OS       : Linux 3.10.0-693.el7.x86_64
0.10/0.31	% CPULimit   : 1440
0.10/0.31	% WCLimit    : 180
0.10/0.31	% DateTime   : Mon Jul  3 12:57:31 EDT 2023
0.10/0.31	% CPUTime    : 
0.10/0.31	This is a THF_ problem
0.10/0.31	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/sandbox/tmp/tmp.Xa2JAN36xL/Vampire---4.8_15295 -m 12000  -t 180
0.15/0.33	% (15403)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1800ds/96Mi)
0.15/0.33	% (15404)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1800ds/36Mi)
0.15/0.33	% (15406)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 (1800ds/385Mi)
0.15/0.33	% (15407)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1800ds/17Mi)
0.15/0.33	% (15409)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1800ds/4Mi)
0.15/0.33	% (15405)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1800ds/34Mi)
0.15/0.33	% (15408)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 (1800ds/74Mi)
0.15/0.33	% (15410)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 (1800ds/915Mi)
0.15/0.33	% (15409)Instruction limit reached!
0.15/0.33	% (15409)------------------------------
0.15/0.33	% (15409)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.33	% (15409)Termination reason: Unknown
0.15/0.33	% (15409)Termination phase: Saturation
0.15/0.33	
0.15/0.33	% (15409)Memory used [KB]: 5500
0.15/0.33	% (15409)Time elapsed: 0.004 s
0.15/0.33	% (15409)Instructions burned: 4 (million)
0.15/0.33	% (15409)------------------------------
0.15/0.33	% (15409)------------------------------
0.15/0.34	% (15407)Instruction limit reached!
0.15/0.34	% (15407)------------------------------
0.15/0.34	% (15407)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.34	% (15407)Termination reason: Unknown
0.15/0.34	% (15407)Termination phase: Saturation
0.15/0.34	
0.15/0.34	% (15407)Memory used [KB]: 5628
0.15/0.34	% (15407)Time elapsed: 0.011 s
0.15/0.34	% (15407)Instructions burned: 18 (million)
0.15/0.34	% (15407)------------------------------
0.15/0.34	% (15407)------------------------------
0.15/0.34	% (15411)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)
0.15/0.34	% (15404)Instruction limit reached!
0.15/0.34	% (15404)------------------------------
0.15/0.34	% (15404)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.34	% (15404)Termination reason: Unknown
0.15/0.34	% (15404)Termination phase: Saturation
0.15/0.34	
0.15/0.34	% (15404)Memory used [KB]: 5756
0.15/0.34	% (15404)Time elapsed: 0.019 s
0.15/0.34	% (15404)Instructions burned: 36 (million)
0.15/0.34	% (15404)------------------------------
0.15/0.34	% (15404)------------------------------
0.15/0.34	% (15405)Instruction limit reached!
0.15/0.34	% (15405)------------------------------
0.15/0.34	% (15405)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.34	% (15405)Termination reason: Unknown
0.15/0.34	% (15405)Termination phase: Saturation
0.15/0.34	
0.15/0.34	% (15405)Memory used [KB]: 5628
0.15/0.34	% (15405)Time elapsed: 0.020 s
0.15/0.34	% (15405)Instructions burned: 34 (million)
0.15/0.34	% (15405)------------------------------
0.15/0.34	% (15405)------------------------------
0.15/0.35	% (15412)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi)
0.15/0.35	% (15412)Instruction limit reached!
0.15/0.35	% (15412)------------------------------
0.15/0.35	% (15412)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.35	% (15412)Termination reason: Unknown
0.15/0.35	% (15412)Termination phase: Saturation
0.15/0.35	
0.15/0.35	% (15412)Memory used [KB]: 5500
0.15/0.35	% (15412)Time elapsed: 0.005 s
0.15/0.35	% (15412)Instructions burned: 7 (million)
0.15/0.35	% (15412)------------------------------
0.15/0.35	% (15412)------------------------------
0.15/0.35	% (15411)Instruction limit reached!
0.15/0.35	% (15411)------------------------------
0.15/0.35	% (15411)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.35	% (15411)Termination reason: Unknown
0.15/0.35	% (15411)Termination phase: Saturation
0.15/0.35	
0.15/0.35	% (15411)Memory used [KB]: 5628
0.15/0.35	% (15411)Time elapsed: 0.013 s
0.15/0.35	% (15411)Instructions burned: 21 (million)
0.15/0.35	% (15411)------------------------------
0.15/0.35	% (15411)------------------------------
0.15/0.36	% (15413)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)
0.15/0.36	% (15414)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)
0.15/0.36	% (15408)Instruction limit reached!
0.15/0.36	% (15408)------------------------------
0.15/0.36	% (15408)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.36	% (15408)Termination reason: Unknown
0.15/0.36	% (15408)Termination phase: Saturation
0.15/0.36	
0.15/0.36	% (15408)Memory used [KB]: 6140
0.15/0.36	% (15408)Time elapsed: 0.036 s
0.15/0.36	% (15408)Instructions burned: 75 (million)
0.15/0.36	% (15408)------------------------------
0.15/0.36	% (15408)------------------------------
0.15/0.36	% (15415)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)
0.15/0.37	% (15416)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)
0.15/0.37	% (15415)Instruction limit reached!
0.15/0.37	% (15415)------------------------------
0.15/0.37	% (15415)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.37	% (15415)Termination reason: Unknown
0.15/0.37	% (15415)Termination phase: Saturation
0.15/0.37	
0.15/0.37	% (15415)Memory used [KB]: 5628
0.15/0.37	% (15415)Time elapsed: 0.007 s
0.15/0.37	% (15415)Instructions burned: 9 (million)
0.15/0.37	% (15415)------------------------------
0.15/0.37	% (15415)------------------------------
0.15/0.37	% (15403)Instruction limit reached!
0.15/0.37	% (15403)------------------------------
0.15/0.37	% (15403)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.37	% (15403)Termination reason: Unknown
0.15/0.37	% (15403)Termination phase: Saturation
0.15/0.37	
0.15/0.37	% (15403)Memory used [KB]: 5884
0.15/0.37	% (15403)Time elapsed: 0.048 s
0.15/0.37	% (15403)Instructions burned: 98 (million)
0.15/0.37	% (15403)------------------------------
0.15/0.37	% (15403)------------------------------
0.15/0.37	% (15417)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)
0.15/0.38	% (15418)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi)
0.15/0.39	% (15419)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi)
0.15/0.39	% (15419)Instruction limit reached!
0.15/0.39	% (15419)------------------------------
0.15/0.39	% (15419)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.39	% (15419)Termination reason: Unknown
0.15/0.39	% (15419)Termination phase: Saturation
0.15/0.39	
0.15/0.39	% (15419)Memory used [KB]: 5628
0.15/0.39	% (15419)Time elapsed: 0.009 s
0.15/0.39	% (15419)Instructions burned: 15 (million)
0.15/0.39	% (15419)------------------------------
0.15/0.39	% (15419)------------------------------
0.15/0.39	% (15414)Instruction limit reached!
0.15/0.39	% (15414)------------------------------
0.15/0.39	% (15414)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.39	% (15414)Termination reason: Unknown
0.15/0.39	% (15414)Termination phase: Saturation
0.15/0.39	
0.15/0.39	% (15414)Memory used [KB]: 5884
0.15/0.39	% (15414)Time elapsed: 0.038 s
0.15/0.39	% (15414)Instructions burned: 71 (million)
0.15/0.39	% (15414)------------------------------
0.15/0.39	% (15414)------------------------------
0.15/0.41	% (15420)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)
0.15/0.41	% (15420)Instruction limit reached!
0.15/0.41	% (15420)------------------------------
0.15/0.41	% (15420)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.41	% (15420)Termination reason: Unknown
0.15/0.41	% (15420)Termination phase: shuffling
0.15/0.41	
0.15/0.41	% (15420)Memory used [KB]: 1023
0.15/0.41	% (15420)Time elapsed: 0.002 s
0.15/0.41	% (15420)Instructions burned: 2 (million)
0.15/0.41	% (15420)------------------------------
0.15/0.41	% (15420)------------------------------
0.15/0.41	% (15421)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)
0.15/0.41	% (15418)Instruction limit reached!
0.15/0.41	% (15418)------------------------------
0.15/0.41	% (15418)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.41	% (15418)Termination reason: Unknown
0.15/0.41	% (15418)Termination phase: Saturation
0.15/0.41	
0.15/0.41	% (15418)Memory used [KB]: 5884
0.15/0.41	% (15418)Time elapsed: 0.030 s
0.15/0.41	% (15418)Instructions burned: 61 (million)
0.15/0.41	% (15418)------------------------------
0.15/0.41	% (15418)------------------------------
0.15/0.42	% (15422)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 (1799ds/11Mi)
0.15/0.42	% (15423)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 (1799ds/140Mi)
0.15/0.42	% (15422)Instruction limit reached!
0.15/0.42	% (15422)------------------------------
0.15/0.42	% (15422)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.42	% (15422)Termination reason: Unknown
0.15/0.42	% (15422)Termination phase: Saturation
0.15/0.42	
0.15/0.42	% (15422)Memory used [KB]: 5500
0.15/0.42	% (15422)Time elapsed: 0.007 s
0.15/0.42	% (15422)Instructions burned: 12 (million)
0.15/0.42	% (15422)------------------------------
0.15/0.42	% (15422)------------------------------
0.15/0.43	% (15417)Instruction limit reached!
0.15/0.43	% (15417)------------------------------
0.15/0.43	% (15417)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.43	% (15417)Termination reason: Unknown
0.15/0.43	% (15417)Termination phase: Saturation
0.15/0.43	
0.15/0.43	% (15417)Memory used [KB]: 6268
0.15/0.43	% (15417)Time elapsed: 0.062 s
0.15/0.43	% (15417)Instructions burned: 128 (million)
0.15/0.43	% (15417)------------------------------
0.15/0.43	% (15417)------------------------------
0.15/0.44	% (15424)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)
0.15/0.45	% (15424)Instruction limit reached!
0.15/0.45	% (15424)------------------------------
0.15/0.45	% (15424)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.45	% (15424)Termination reason: Unknown
0.15/0.45	% (15424)Termination phase: Saturation
0.15/0.45	
0.15/0.45	% (15424)Memory used [KB]: 5500
0.15/0.45	% (15424)Time elapsed: 0.012 s
0.15/0.45	% (15424)Instructions burned: 26 (million)
0.15/0.45	% (15424)------------------------------
0.15/0.45	% (15424)------------------------------
0.15/0.45	% (15425)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)
0.15/0.45	% (15425)Refutation not found, incomplete strategy
0.15/0.45	% (15425)------------------------------
0.15/0.45	% (15425)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.45	% (15425)Termination reason: Refutation not found, incomplete strategy
0.15/0.45	
0.15/0.45	
0.15/0.45	% (15425)Memory used [KB]: 1151
0.15/0.45	% (15425)Time elapsed: 0.008 s
0.15/0.45	% (15425)Instructions burned: 12 (million)
0.15/0.45	% (15425)------------------------------
0.15/0.45	% (15425)------------------------------
0.15/0.46	% (15426)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)
0.15/0.47	% (15427)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)
0.15/0.47	% (15427)Instruction limit reached!
0.15/0.47	% (15427)------------------------------
0.15/0.47	% (15427)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.47	% (15427)Termination reason: Unknown
0.15/0.47	% (15427)Termination phase: Saturation
0.15/0.47	
0.15/0.47	% (15427)Memory used [KB]: 1023
0.15/0.47	% (15427)Time elapsed: 0.003 s
0.15/0.47	% (15427)Instructions burned: 3 (million)
0.15/0.47	% (15427)------------------------------
0.15/0.47	% (15427)------------------------------
0.15/0.48	% (15428)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)
0.15/0.49	% (15423)Instruction limit reached!
0.15/0.49	% (15423)------------------------------
0.15/0.49	% (15423)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.49	% (15423)Termination reason: Unknown
0.15/0.49	% (15423)Termination phase: Saturation
0.15/0.49	
0.15/0.49	% (15423)Memory used [KB]: 6140
0.15/0.49	% (15423)Time elapsed: 0.068 s
0.15/0.49	% (15423)Instructions burned: 140 (million)
0.15/0.49	% (15423)------------------------------
0.15/0.49	% (15423)------------------------------
0.15/0.49	% (15428)Instruction limit reached!
0.15/0.49	% (15428)------------------------------
0.15/0.49	% (15428)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.49	% (15428)Termination reason: Unknown
0.15/0.49	% (15428)Termination phase: Saturation
0.15/0.49	
0.15/0.49	% (15428)Memory used [KB]: 5628
0.15/0.49	% (15428)Time elapsed: 0.011 s
0.15/0.49	% (15428)Instructions burned: 20 (million)
0.15/0.49	% (15428)------------------------------
0.15/0.49	% (15428)------------------------------
0.15/0.50	% (15429)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)
0.15/0.51	% (15430)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)
0.15/0.51	% (15406)Instruction limit reached!
0.15/0.51	% (15406)------------------------------
0.15/0.51	% (15406)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.51	% (15406)Termination reason: Unknown
0.15/0.51	% (15406)Termination phase: Saturation
0.15/0.51	
0.15/0.51	% (15406)Memory used [KB]: 6268
0.15/0.51	% (15406)Time elapsed: 0.182 s
0.15/0.51	% (15406)Instructions burned: 387 (million)
0.15/0.51	% (15406)------------------------------
0.15/0.51	% (15406)------------------------------
0.15/0.52	% (15431)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)
0.15/0.52	% (15429)Instruction limit reached!
0.15/0.52	% (15429)------------------------------
0.15/0.52	% (15429)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.52	% (15429)Termination reason: Unknown
0.15/0.52	% (15429)Termination phase: Saturation
0.15/0.52	
0.15/0.52	% (15429)Memory used [KB]: 1279
0.15/0.52	% (15429)Time elapsed: 0.021 s
0.15/0.52	% (15429)Instructions burned: 44 (million)
0.15/0.52	% (15429)------------------------------
0.15/0.52	% (15429)------------------------------
0.15/0.54	% (15432)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)
0.15/0.54	% (15432)Refutation not found, incomplete strategy
0.15/0.54	% (15432)------------------------------
0.15/0.54	% (15432)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.54	% (15432)Termination reason: Refutation not found, incomplete strategy
0.15/0.54	
0.15/0.54	
0.15/0.54	% (15432)Memory used [KB]: 5500
0.15/0.54	% (15432)Time elapsed: 0.026 s
0.15/0.54	% (15432)Instructions burned: 6 (million)
0.15/0.54	% (15432)------------------------------
0.15/0.54	% (15432)------------------------------
1.85/0.55	% (15433)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)
1.85/0.56	% (15433)Instruction limit reached!
1.85/0.56	% (15433)------------------------------
1.85/0.56	% (15433)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.85/0.56	% (15433)Termination reason: Unknown
1.85/0.56	% (15433)Termination phase: Saturation
1.85/0.56	
1.85/0.56	% (15433)Memory used [KB]: 1023
1.85/0.56	% (15433)Time elapsed: 0.003 s
1.85/0.56	% (15433)Instructions burned: 4 (million)
1.85/0.56	% (15433)------------------------------
1.85/0.56	% (15433)------------------------------
2.05/0.57	% (15431)Instruction limit reached!
2.05/0.57	% (15431)------------------------------
2.05/0.57	% (15431)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.05/0.57	% (15431)Termination reason: Unknown
2.05/0.57	% (15431)Termination phase: Saturation
2.05/0.57	
2.05/0.57	% (15431)Memory used [KB]: 6012
2.05/0.57	% (15431)Time elapsed: 0.058 s
2.05/0.57	% (15431)Instructions burned: 63 (million)
2.05/0.57	% (15431)------------------------------
2.05/0.57	% (15431)------------------------------
2.05/0.57	% (15434)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)
2.05/0.58	% (15435)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)
2.05/0.58	% (15435)Instruction limit reached!
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2.05/0.58	% (15435)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.05/0.58	% (15435)Termination reason: Unknown
2.05/0.58	% (15435)Termination phase: Property scanning
2.05/0.58	
2.05/0.58	% (15435)Memory used [KB]: 1023
2.05/0.58	% (15435)Time elapsed: 0.003 s
2.05/0.58	% (15435)Instructions burned: 4 (million)
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2.05/0.59	% (15426)Instruction limit reached!
2.05/0.59	% (15426)------------------------------
2.05/0.59	% (15426)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.05/0.59	% (15426)Termination reason: Unknown
2.05/0.59	% (15426)Termination phase: Saturation
2.05/0.59	
2.05/0.59	% (15426)Memory used [KB]: 6140
2.05/0.59	% (15426)Time elapsed: 0.130 s
2.05/0.59	% (15426)Instructions burned: 275 (million)
2.05/0.59	% (15426)------------------------------
2.05/0.59	% (15426)------------------------------
2.05/0.59	% (15436)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)
2.05/0.60	% (15436)Instruction limit reached!
2.05/0.60	% (15436)------------------------------
2.05/0.60	% (15436)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.05/0.60	% (15436)Termination reason: Unknown
2.05/0.60	% (15436)Termination phase: Saturation
2.05/0.60	
2.05/0.60	% (15436)Memory used [KB]: 5500
2.05/0.60	% (15436)Time elapsed: 0.004 s
2.05/0.60	% (15436)Instructions burned: 4 (million)
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2.05/0.60	% (15430)Instruction limit reached!
2.05/0.60	% (15430)------------------------------
2.05/0.60	% (15430)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.05/0.60	% (15430)Termination reason: Unknown
2.05/0.60	% (15430)Termination phase: Saturation
2.05/0.60	
2.05/0.60	% (15430)Memory used [KB]: 6396
2.05/0.60	% (15430)Time elapsed: 0.093 s
2.05/0.60	% (15430)Instructions burned: 193 (million)
2.05/0.60	% (15430)------------------------------
2.05/0.60	% (15430)------------------------------
2.05/0.60	% (15437)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)
2.05/0.61	% (15438)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)
2.05/0.61	% (15439)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)
2.48/0.65	% (15434)First to succeed.
2.48/0.66	% (15434)Refutation found. Thanks to Tanya!
2.48/0.66	% SZS status Theorem for Vampire---4
2.48/0.66	% SZS output start Proof for Vampire---4
2.48/0.66	thf(type_def_5, type, iS: $tType).
2.48/0.66	thf(func_def_0, type, iS: $tType).
2.48/0.66	thf(func_def_1, type, x: iS).
2.48/0.66	thf(func_def_2, type, cP: iS > iS > iS).
2.48/0.66	thf(func_def_3, type, c0: iS).
2.48/0.66	thf(func_def_26, type, sK1: iS > iS > iS > $o).
2.48/0.66	thf(func_def_27, type, sK2: (iS > $o) > iS).
2.48/0.66	thf(func_def_28, type, sK3: (iS > $o) > iS).
2.48/0.66	thf(func_def_29, type, ph4: !>[X0: $tType]:(X0)).
2.48/0.66	thf(f443,plain,(
2.48/0.66	  $false),
2.48/0.66	  inference(trivial_inequality_removal,[],[f375])).
2.48/0.66	thf(f375,plain,(
2.48/0.66	  ($true = $false) | (c0 != c0)),
2.48/0.66	  inference(superposition,[],[f364,f96])).
2.48/0.66	thf(f96,plain,(
2.48/0.66	  ( ! [X0 : iS,X1 : iS] : (($true = (sK1 @ c0 @ X0 @ X1)) | (X0 != X1)) )),
2.48/0.66	  inference(equality_resolution,[],[f51])).
2.48/0.66	thf(f51,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS] : ((c0 != X2) | ($true = (sK1 @ X2 @ X1 @ X3)) | (X1 != X3)) )),
2.48/0.66	  inference(equality_proxy_clausification,[],[f50])).
2.48/0.66	thf(f50,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS] : (($true = (sK1 @ X2 @ X1 @ X3)) | (X1 != X3) | ((c0 = X2) = $false)) )),
2.48/0.66	  inference(equality_proxy_clausification,[],[f49])).
2.48/0.66	thf(f49,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS] : (((X3 = X1) = $false) | ((c0 = X2) = $false) | ($true = (sK1 @ X2 @ X1 @ X3))) )),
2.48/0.66	  inference(binary_proxy_clausification,[],[f28])).
2.48/0.66	thf(f28,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS] : (($true = (sK1 @ X2 @ X1 @ X3)) | (((X3 = X1) & (c0 = X2)) = $false)) )),
2.48/0.66	  inference(binary_proxy_clausification,[],[f24])).
2.48/0.66	thf(f24,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS] : (($true = (sK1 @ X2 @ X1 @ X3)) | (((?? @ iS @ (^[Y0 : iS]: (?? @ iS @ (^[Y1 : iS]: (?? @ iS @ (^[Y2 : iS]: (?? @ iS @ (^[Y3 : iS]: (?? @ iS @ (^[Y4 : iS]: (?? @ iS @ (^[Y5 : iS]: (((((sK1 @ Y2 @ Y5 @ Y4) & ((cP @ Y4 @ Y3) = X3)) & (sK1 @ Y0 @ Y1 @ Y3)) & ((cP @ Y2 @ Y0) = X2)) & ((cP @ Y5 @ Y1) = X1)))))))))))))) | ((X3 = X1) & (c0 = X2))) = $false)) )),
2.48/0.66	  inference(binary_proxy_clausification,[],[f22])).
2.48/0.66	thf(f22,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS] : (($true = (sK1 @ X2 @ X1 @ X3)) | ((((?? @ iS @ (^[Y0 : iS]: (?? @ iS @ (^[Y1 : iS]: (?? @ iS @ (^[Y2 : iS]: (?? @ iS @ (^[Y3 : iS]: (?? @ iS @ (^[Y4 : iS]: (?? @ iS @ (^[Y5 : iS]: (((((sK1 @ Y2 @ Y5 @ Y4) & ((cP @ Y4 @ Y3) = X3)) & (sK1 @ Y0 @ Y1 @ Y3)) & ((cP @ Y2 @ Y0) = X2)) & ((cP @ Y5 @ Y1) = X1)))))))))))))) | ((X3 = X1) & (c0 = X2))) | ((c0 = X1) & (X3 = X2))) = $false)) )),
2.48/0.66	  inference(binary_proxy_clausification,[],[f21])).
2.48/0.66	thf(f21,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS] : (($true = ((((?? @ iS @ (^[Y0 : iS]: (?? @ iS @ (^[Y1 : iS]: (?? @ iS @ (^[Y2 : iS]: (?? @ iS @ (^[Y3 : iS]: (?? @ iS @ (^[Y4 : iS]: (?? @ iS @ (^[Y5 : iS]: (((((sK1 @ Y2 @ Y5 @ Y4) & ((cP @ Y4 @ Y3) = X3)) & (sK1 @ Y0 @ Y1 @ Y3)) & ((cP @ Y2 @ Y0) = X2)) & ((cP @ Y5 @ Y1) = X1)))))))))))))) | ((X3 = X1) & (c0 = X2))) | ((c0 = X1) & (X3 = X2))) => (sK1 @ X2 @ X1 @ X3)))) )),
2.48/0.66	  inference(beta_eta_normalization,[],[f20])).
2.48/0.66	thf(f20,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS] : ((((^[Y0 : iS]: ((((?? @ iS @ (^[Y1 : iS]: (?? @ iS @ (^[Y2 : iS]: (?? @ iS @ (^[Y3 : iS]: (?? @ iS @ (^[Y4 : iS]: (?? @ iS @ (^[Y5 : iS]: (?? @ iS @ (^[Y6 : iS]: (((((sK1 @ Y3 @ Y6 @ Y5) & ((cP @ Y5 @ Y4) = Y0)) & (sK1 @ Y1 @ Y2 @ Y4)) & ((cP @ Y3 @ Y1) = X2)) & ((cP @ Y6 @ Y2) = X1)))))))))))))) | ((Y0 = X1) & (c0 = X2))) | ((c0 = X1) & (Y0 = X2))) => (sK1 @ X2 @ X1 @ Y0))) @ X3) = $true)) )),
2.48/0.66	  inference(pi_clausification,[],[f19])).
2.48/0.66	thf(f19,plain,(
2.48/0.66	  ( ! [X2 : iS,X1 : iS] : (($true = (!! @ iS @ (^[Y0 : iS]: ((((?? @ iS @ (^[Y1 : iS]: (?? @ iS @ (^[Y2 : iS]: (?? @ iS @ (^[Y3 : iS]: (?? @ iS @ (^[Y4 : iS]: (?? @ iS @ (^[Y5 : iS]: (?? @ iS @ (^[Y6 : iS]: (((((sK1 @ Y3 @ Y6 @ Y5) & ((cP @ Y5 @ Y4) = Y0)) & (sK1 @ Y1 @ Y2 @ Y4)) & ((cP @ Y3 @ Y1) = X2)) & ((cP @ Y6 @ Y2) = X1)))))))))))))) | ((Y0 = X1) & (c0 = X2))) | ((c0 = X1) & (Y0 = X2))) => (sK1 @ X2 @ X1 @ Y0)))))) )),
2.48/0.66	  inference(beta_eta_normalization,[],[f18])).
2.48/0.66	thf(f18,plain,(
2.48/0.66	  ( ! [X2 : iS,X1 : iS] : (($true = ((^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: ((((?? @ iS @ (^[Y2 : iS]: (?? @ iS @ (^[Y3 : iS]: (?? @ iS @ (^[Y4 : iS]: (?? @ iS @ (^[Y5 : iS]: (?? @ iS @ (^[Y6 : iS]: (?? @ iS @ (^[Y7 : iS]: (((((sK1 @ Y4 @ Y7 @ Y6) & ((cP @ Y6 @ Y5) = Y1)) & (sK1 @ Y2 @ Y3 @ Y5)) & ((cP @ Y4 @ Y2) = Y0)) & ((cP @ Y7 @ Y3) = X1)))))))))))))) | ((Y1 = X1) & (c0 = Y0))) | ((c0 = X1) & (Y1 = Y0))) => (sK1 @ Y0 @ X1 @ Y1))))) @ X2))) )),
2.48/0.66	  inference(pi_clausification,[],[f17])).
2.48/0.66	thf(f17,plain,(
2.48/0.66	  ( ! [X1 : iS] : (($true = (!! @ iS @ (^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: ((((?? @ iS @ (^[Y2 : iS]: (?? @ iS @ (^[Y3 : iS]: (?? @ iS @ (^[Y4 : iS]: (?? @ iS @ (^[Y5 : iS]: (?? @ iS @ (^[Y6 : iS]: (?? @ iS @ (^[Y7 : iS]: (((((sK1 @ Y4 @ Y7 @ Y6) & ((cP @ Y6 @ Y5) = Y1)) & (sK1 @ Y2 @ Y3 @ Y5)) & ((cP @ Y4 @ Y2) = Y0)) & ((cP @ Y7 @ Y3) = X1)))))))))))))) | ((Y1 = X1) & (c0 = Y0))) | ((c0 = X1) & (Y1 = Y0))) => (sK1 @ Y0 @ X1 @ Y1)))))))) )),
2.48/0.66	  inference(beta_eta_normalization,[],[f16])).
2.48/0.66	thf(f16,plain,(
2.48/0.66	  ( ! [X1 : iS] : ((((^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: ((((?? @ iS @ (^[Y3 : iS]: (?? @ iS @ (^[Y4 : iS]: (?? @ iS @ (^[Y5 : iS]: (?? @ iS @ (^[Y6 : iS]: (?? @ iS @ (^[Y7 : iS]: (?? @ iS @ (^[Y8 : iS]: (((((sK1 @ Y5 @ Y8 @ Y7) & ((cP @ Y7 @ Y6) = Y2)) & (sK1 @ Y3 @ Y4 @ Y6)) & ((cP @ Y5 @ Y3) = Y1)) & ((cP @ Y8 @ Y4) = Y0)))))))))))))) | ((Y2 = Y0) & (c0 = Y1))) | ((c0 = Y0) & (Y2 = Y1))) => (sK1 @ Y1 @ Y0 @ Y2))))))) @ X1) = $true)) )),
2.48/0.66	  inference(pi_clausification,[],[f15])).
2.48/0.66	thf(f15,plain,(
2.48/0.66	  ($true = (!! @ iS @ (^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: ((((?? @ iS @ (^[Y3 : iS]: (?? @ iS @ (^[Y4 : iS]: (?? @ iS @ (^[Y5 : iS]: (?? @ iS @ (^[Y6 : iS]: (?? @ iS @ (^[Y7 : iS]: (?? @ iS @ (^[Y8 : iS]: (((((sK1 @ Y5 @ Y8 @ Y7) & ((cP @ Y7 @ Y6) = Y2)) & (sK1 @ Y3 @ Y4 @ Y6)) & ((cP @ Y5 @ Y3) = Y1)) & ((cP @ Y8 @ Y4) = Y0)))))))))))))) | ((Y2 = Y0) & (c0 = Y1))) | ((c0 = Y0) & (Y2 = Y1))) => (sK1 @ Y1 @ Y0 @ Y2)))))))))),
2.48/0.66	  inference(binary_proxy_clausification,[],[f13])).
2.48/0.66	thf(f13,plain,(
2.48/0.66	  (((!! @ iS @ (^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: ((((?? @ iS @ (^[Y3 : iS]: (?? @ iS @ (^[Y4 : iS]: (?? @ iS @ (^[Y5 : iS]: (?? @ iS @ (^[Y6 : iS]: (?? @ iS @ (^[Y7 : iS]: (?? @ iS @ (^[Y8 : iS]: (((((sK1 @ Y5 @ Y8 @ Y7) & ((cP @ Y7 @ Y6) = Y2)) & (sK1 @ Y3 @ Y4 @ Y6)) & ((cP @ Y5 @ Y3) = Y1)) & ((cP @ Y8 @ Y4) = Y0)))))))))))))) | ((Y2 = Y0) & (c0 = Y1))) | ((c0 = Y0) & (Y2 = Y1))) => (sK1 @ Y1 @ Y0 @ Y2)))))))) => (sK1 @ x @ x @ x)) = $false)),
2.48/0.66	  inference(beta_eta_normalization,[],[f12])).
2.48/0.66	thf(f12,plain,(
2.48/0.66	  (((^[Y0 : iS > iS > iS > $o]: ((!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (!! @ iS @ (^[Y3 : iS]: ((((?? @ iS @ (^[Y4 : iS]: (?? @ iS @ (^[Y5 : iS]: (?? @ iS @ (^[Y6 : iS]: (?? @ iS @ (^[Y7 : iS]: (?? @ iS @ (^[Y8 : iS]: (?? @ iS @ (^[Y9 : iS]: (((((Y0 @ Y6 @ Y9 @ Y8) & ((cP @ Y8 @ Y7) = Y3)) & (Y0 @ Y4 @ Y5 @ Y7)) & ((cP @ Y6 @ Y4) = Y2)) & ((cP @ Y9 @ Y5) = Y1)))))))))))))) | ((Y3 = Y1) & (c0 = Y2))) | ((c0 = Y1) & (Y3 = Y2))) => (Y0 @ Y2 @ Y1 @ Y3)))))))) => (Y0 @ x @ x @ x))) @ sK1) = $false)),
2.48/0.66	  inference(sigma_clausification,[],[f10])).
2.48/0.66	thf(f10,plain,(
2.48/0.66	  ((!! @ (iS > iS > iS > $o) @ (^[Y0 : iS > iS > iS > $o]: ((!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (!! @ iS @ (^[Y3 : iS]: ((((?? @ iS @ (^[Y4 : iS]: (?? @ iS @ (^[Y5 : iS]: (?? @ iS @ (^[Y6 : iS]: (?? @ iS @ (^[Y7 : iS]: (?? @ iS @ (^[Y8 : iS]: (?? @ iS @ (^[Y9 : iS]: (((((Y0 @ Y6 @ Y9 @ Y8) & ((cP @ Y8 @ Y7) = Y3)) & (Y0 @ Y4 @ Y5 @ Y7)) & ((cP @ Y6 @ Y4) = Y2)) & ((cP @ Y9 @ Y5) = Y1)))))))))))))) | ((Y3 = Y1) & (c0 = Y2))) | ((c0 = Y1) & (Y3 = Y2))) => (Y0 @ Y2 @ Y1 @ Y3)))))))) => (Y0 @ x @ x @ x)))) = $false)),
2.48/0.66	  inference(binary_proxy_clausification,[],[f9])).
2.48/0.66	thf(f9,plain,(
2.48/0.66	  ($false = ((((!! @ iS @ (^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (~ (c0 = (cP @ Y1 @ Y0))))))) & (!! @ (iS > $o) @ (^[Y0 : iS > $o]: (((Y0 @ c0) & (!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (((Y0 @ Y2) & (Y0 @ Y1)) => (Y0 @ (cP @ Y2 @ Y1)))))))) => (!! @ iS @ Y0))))) & (!! @ iS @ (^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (!! @ iS @ (^[Y3 : iS]: (((cP @ Y2 @ Y3) = (cP @ Y1 @ Y0)) => ((Y2 = Y1) & (Y3 = Y0)))))))))))) => (!! @ (iS > iS > iS > $o) @ (^[Y0 : iS > iS > iS > $o]: ((!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (!! @ iS @ (^[Y3 : iS]: ((((?? @ iS @ (^[Y4 : iS]: (?? @ iS @ (^[Y5 : iS]: (?? @ iS @ (^[Y6 : iS]: (?? @ iS @ (^[Y7 : iS]: (?? @ iS @ (^[Y8 : iS]: (?? @ iS @ (^[Y9 : iS]: (((((Y0 @ Y6 @ Y9 @ Y8) & ((cP @ Y8 @ Y7) = Y3)) & (Y0 @ Y4 @ Y5 @ Y7)) & ((cP @ Y6 @ Y4) = Y2)) & ((cP @ Y9 @ Y5) = Y1)))))))))))))) | ((Y3 = Y1) & (c0 = Y2))) | ((c0 = Y1) & (Y3 = Y2))) => (Y0 @ Y2 @ Y1 @ Y3)))))))) => (Y0 @ x @ x @ x))))))),
2.48/0.66	  inference(not_proxy_clausification,[],[f8])).
2.48/0.66	thf(f8,plain,(
2.48/0.66	  ($true = (~ ((((!! @ iS @ (^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (~ (c0 = (cP @ Y1 @ Y0))))))) & (!! @ (iS > $o) @ (^[Y0 : iS > $o]: (((Y0 @ c0) & (!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (((Y0 @ Y2) & (Y0 @ Y1)) => (Y0 @ (cP @ Y2 @ Y1)))))))) => (!! @ iS @ Y0))))) & (!! @ iS @ (^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (!! @ iS @ (^[Y3 : iS]: (((cP @ Y2 @ Y3) = (cP @ Y1 @ Y0)) => ((Y2 = Y1) & (Y3 = Y0)))))))))))) => (!! @ (iS > iS > iS > $o) @ (^[Y0 : iS > iS > iS > $o]: ((!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (!! @ iS @ (^[Y3 : iS]: ((((?? @ iS @ (^[Y4 : iS]: (?? @ iS @ (^[Y5 : iS]: (?? @ iS @ (^[Y6 : iS]: (?? @ iS @ (^[Y7 : iS]: (?? @ iS @ (^[Y8 : iS]: (?? @ iS @ (^[Y9 : iS]: (((((Y0 @ Y6 @ Y9 @ Y8) & ((cP @ Y8 @ Y7) = Y3)) & (Y0 @ Y4 @ Y5 @ Y7)) & ((cP @ Y6 @ Y4) = Y2)) & ((cP @ Y9 @ Y5) = Y1)))))))))))))) | ((Y3 = Y1) & (c0 = Y2))) | ((c0 = Y1) & (Y3 = Y2))) => (Y0 @ Y2 @ Y1 @ Y3)))))))) => (Y0 @ x @ x @ x)))))))),
2.48/0.66	  inference(boolean_simplification,[],[f7])).
2.48/0.66	thf(f7,plain,(
2.48/0.66	  ($true = (~ ((((!! @ iS @ (^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (~ (c0 = (cP @ Y1 @ Y0))))))) & (!! @ (iS > $o) @ (^[Y0 : iS > $o]: (((Y0 @ c0) & (!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (((Y0 @ Y2) & (Y0 @ Y1)) => (Y0 @ (cP @ Y2 @ Y1)))))))) => (!! @ iS @ Y0))))) & (!! @ iS @ (^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (!! @ iS @ (^[Y3 : iS]: (((cP @ Y2 @ Y3) = (cP @ Y1 @ Y0)) => ((Y2 = Y1) & (Y3 = Y0)))))))))))) => (!! @ (iS > iS > iS > $o) @ (^[Y0 : iS > iS > iS > $o]: (((!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (!! @ iS @ (^[Y3 : iS]: ((((?? @ iS @ (^[Y4 : iS]: (?? @ iS @ (^[Y5 : iS]: (?? @ iS @ (^[Y6 : iS]: (?? @ iS @ (^[Y7 : iS]: (?? @ iS @ (^[Y8 : iS]: (?? @ iS @ (^[Y9 : iS]: (((((Y0 @ Y6 @ Y9 @ Y8) & ((cP @ Y8 @ Y7) = Y3)) & (Y0 @ Y4 @ Y5 @ Y7)) & ((cP @ Y6 @ Y4) = Y2)) & ((cP @ Y9 @ Y5) = Y1)))))))))))))) | ((Y3 = Y1) & (c0 = Y2))) | ((c0 = Y1) & (Y3 = Y2))) => (Y0 @ Y2 @ Y1 @ Y3)))))))) & $true) => (Y0 @ x @ x @ x)))))))),
2.48/0.66	  inference(beta_eta_normalization,[],[f6])).
2.48/0.66	thf(f6,plain,(
2.48/0.66	  ($true = (~ ((((!! @ iS @ (^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (~ (c0 = (cP @ Y1 @ Y0))))))) & (!! @ (iS > $o) @ (^[Y0 : iS > $o]: (((Y0 @ c0) & (!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (((Y0 @ Y2) & (Y0 @ Y1)) => (Y0 @ (cP @ Y2 @ Y1)))))))) => (!! @ iS @ (^[Y1 : iS]: (Y0 @ Y1))))))) & (!! @ iS @ (^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (!! @ iS @ (^[Y3 : iS]: (((cP @ Y2 @ Y3) = (cP @ Y1 @ Y0)) => ((Y2 = Y1) & (Y3 = Y0)))))))))))) => (!! @ (iS > iS > iS > $o) @ (^[Y0 : iS > iS > iS > $o]: (((!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (!! @ iS @ (^[Y3 : iS]: ((((?? @ iS @ (^[Y4 : iS]: (?? @ iS @ (^[Y5 : iS]: (?? @ iS @ (^[Y6 : iS]: (?? @ iS @ (^[Y7 : iS]: (?? @ iS @ (^[Y8 : iS]: (?? @ iS @ (^[Y9 : iS]: (((((Y0 @ Y6 @ Y9 @ Y8) & ((cP @ Y8 @ Y7) = Y3)) & (Y0 @ Y4 @ Y5 @ Y7)) & ((cP @ Y6 @ Y4) = Y2)) & ((cP @ Y9 @ Y5) = Y1)))))))))))))) | ((Y3 = Y1) & (c0 = Y2))) | ((c0 = Y1) & (Y3 = Y2))) => (Y0 @ Y2 @ Y1 @ Y3)))))))) & $true) => (Y0 @ x @ x @ x)))))))),
2.48/0.66	  inference(cnf_transformation,[],[f5])).
2.48/0.66	thf(f5,plain,(
2.48/0.66	  ($true = (~ ((((!! @ iS @ (^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (~ (c0 = (cP @ Y1 @ Y0))))))) & (!! @ (iS > $o) @ (^[Y0 : iS > $o]: (((Y0 @ c0) & (!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (((Y0 @ Y2) & (Y0 @ Y1)) => (Y0 @ (cP @ Y2 @ Y1)))))))) => (!! @ iS @ (^[Y1 : iS]: (Y0 @ Y1))))))) & (!! @ iS @ (^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (!! @ iS @ (^[Y3 : iS]: (((cP @ Y2 @ Y3) = (cP @ Y1 @ Y0)) => ((Y2 = Y1) & (Y3 = Y0)))))))))))) => (!! @ (iS > iS > iS > $o) @ (^[Y0 : iS > iS > iS > $o]: (((!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (!! @ iS @ (^[Y3 : iS]: ((((?? @ iS @ (^[Y4 : iS]: (?? @ iS @ (^[Y5 : iS]: (?? @ iS @ (^[Y6 : iS]: (?? @ iS @ (^[Y7 : iS]: (?? @ iS @ (^[Y8 : iS]: (?? @ iS @ (^[Y9 : iS]: (((((Y0 @ Y6 @ Y9 @ Y8) & ((cP @ Y8 @ Y7) = Y3)) & (Y0 @ Y4 @ Y5 @ Y7)) & ((cP @ Y6 @ Y4) = Y2)) & ((cP @ Y9 @ Y5) = Y1)))))))))))))) | ((Y3 = Y1) & (c0 = Y2))) | ((c0 = Y1) & (Y3 = Y2))) => (Y0 @ Y2 @ Y1 @ Y3)))))))) & $true) => (Y0 @ x @ x @ x)))))))),
2.48/0.66	  inference(fool_elimination,[],[f4])).
2.48/0.66	thf(f4,plain,(
2.48/0.66	  ~((! [X0 : iS,X1 : iS,X2 : iS,X3 : iS] : (((cP @ X1 @ X0) = (cP @ X2 @ X3)) => ((X0 = X3) & (X1 = X2))) & ! [X4 : iS > $o] : ((! [X5 : iS,X6 : iS] : (((X4 @ X6) & (X4 @ X5)) => (X4 @ (cP @ X5 @ X6))) & (X4 @ c0)) => ! [X7 : iS] : (X4 @ X7)) & ! [X8 : iS,X9 : iS] : (c0 != (cP @ X8 @ X9))) => ! [X10 : iS > iS > iS > $o] : (($true & ! [X11 : iS,X12 : iS,X13 : iS] : ((((X11 = X12) & (c0 = X13)) | ((c0 = X12) & (X11 = X13)) | ? [X14 : iS,X15 : iS,X16 : iS,X17 : iS,X18 : iS,X19 : iS] : (((cP @ X14 @ X18) = X13) & ((cP @ X17 @ X19) = X12) & (X10 @ X19 @ X18 @ X16) & ((cP @ X15 @ X16) = X11) & (X10 @ X17 @ X14 @ X15))) => (X10 @ X12 @ X13 @ X11))) => (X10 @ x @ x @ x)))),
2.48/0.66	  inference(rectify,[],[f2])).
2.48/0.66	thf(f2,negated_conjecture,(
2.48/0.66	  ~((! [X3 : iS,X1 : iS,X2 : iS,X4 : iS] : (((cP @ X1 @ X3) = (cP @ X2 @ X4)) => ((X3 = X4) & (X1 = X2))) & ! [X0 : iS > $o] : ((! [X1 : iS,X2 : iS] : (((X0 @ X2) & (X0 @ X1)) => (X0 @ (cP @ X1 @ X2))) & (X0 @ c0)) => ! [X1 : iS] : (X0 @ X1)) & ! [X1 : iS,X2 : iS] : (c0 != (cP @ X1 @ X2))) => ! [X5 : iS > iS > iS > $o] : (($true & ! [X8 : iS,X6 : iS,X7 : iS] : ((((X6 = X8) & (c0 = X7)) | ((c0 = X6) & (X7 = X8)) | ? [X11 : iS,X13 : iS,X14 : iS,X9 : iS,X12 : iS,X10 : iS] : (((cP @ X11 @ X12) = X7) & ((cP @ X9 @ X10) = X6) & (X5 @ X10 @ X12 @ X14) & ((cP @ X13 @ X14) = X8) & (X5 @ X9 @ X11 @ X13))) => (X5 @ X6 @ X7 @ X8))) => (X5 @ x @ x @ x)))),
2.48/0.66	  inference(negated_conjecture,[],[f1])).
2.48/0.66	thf(f1,conjecture,(
2.48/0.66	  (! [X3 : iS,X1 : iS,X2 : iS,X4 : iS] : (((cP @ X1 @ X3) = (cP @ X2 @ X4)) => ((X3 = X4) & (X1 = X2))) & ! [X0 : iS > $o] : ((! [X1 : iS,X2 : iS] : (((X0 @ X2) & (X0 @ X1)) => (X0 @ (cP @ X1 @ X2))) & (X0 @ c0)) => ! [X1 : iS] : (X0 @ X1)) & ! [X1 : iS,X2 : iS] : (c0 != (cP @ X1 @ X2))) => ! [X5 : iS > iS > iS > $o] : (($true & ! [X8 : iS,X6 : iS,X7 : iS] : ((((X6 = X8) & (c0 = X7)) | ((c0 = X6) & (X7 = X8)) | ? [X11 : iS,X13 : iS,X14 : iS,X9 : iS,X12 : iS,X10 : iS] : (((cP @ X11 @ X12) = X7) & ((cP @ X9 @ X10) = X6) & (X5 @ X10 @ X12 @ X14) & ((cP @ X13 @ X14) = X8) & (X5 @ X9 @ X11 @ X13))) => (X5 @ X6 @ X7 @ X8))) => (X5 @ x @ x @ x))),
2.48/0.66	  file('/export/starexec/sandbox/tmp/tmp.Xa2JAN36xL/Vampire---4.8_15295',cS_INCL_LEM3_pme)).
2.48/0.66	thf(f364,plain,(
2.48/0.66	  ((sK1 @ c0 @ c0 @ c0) = $false)),
2.48/0.66	  inference(trivial_inequality_removal,[],[f355])).
2.48/0.66	thf(f355,plain,(
2.48/0.66	  ($true = $false) | ((sK1 @ c0 @ c0 @ c0) = $false)),
2.48/0.66	  inference(superposition,[],[f14,f337])).
2.48/0.66	thf(f337,plain,(
2.48/0.66	  ( ! [X0 : iS] : (($true = (sK1 @ X0 @ X0 @ X0)) | ((sK1 @ c0 @ c0 @ c0) = $false)) )),
2.48/0.66	  inference(trivial_inequality_removal,[],[f329])).
2.48/0.66	thf(f329,plain,(
2.48/0.66	  ( ! [X0 : iS] : (((sK1 @ c0 @ c0 @ c0) = $false) | ($true = (sK1 @ X0 @ X0 @ X0)) | ($true = $false)) )),
2.48/0.66	  inference(superposition,[],[f14,f301])).
2.48/0.66	thf(f301,plain,(
2.48/0.66	  ( ! [X0 : iS,X1 : iS] : (($true = (sK1 @ X1 @ X1 @ X1)) | ($true = (sK1 @ X0 @ X0 @ X0)) | ((sK1 @ c0 @ c0 @ c0) = $false)) )),
2.48/0.66	  inference(trivial_inequality_removal,[],[f292])).
2.48/0.66	thf(f292,plain,(
2.48/0.66	  ( ! [X0 : iS,X1 : iS] : (($true = $false) | ((sK1 @ c0 @ c0 @ c0) = $false) | ($true = (sK1 @ X1 @ X1 @ X1)) | ($true = (sK1 @ X0 @ X0 @ X0))) )),
2.48/0.66	  inference(superposition,[],[f14,f286])).
2.48/0.66	thf(f286,plain,(
2.48/0.66	  ( ! [X2 : iS,X0 : iS,X1 : iS] : (($true = (sK1 @ X2 @ X2 @ X2)) | ((sK1 @ c0 @ c0 @ c0) = $false) | ($true = (sK1 @ X1 @ X1 @ X1)) | ($true = (sK1 @ X0 @ X0 @ X0))) )),
2.48/0.66	  inference(trivial_inequality_removal,[],[f285])).
2.48/0.66	thf(f285,plain,(
2.48/0.66	  ( ! [X2 : iS,X0 : iS,X1 : iS] : (($true = (sK1 @ X1 @ X1 @ X1)) | ($true = (sK1 @ X2 @ X2 @ X2)) | ($true = (sK1 @ X0 @ X0 @ X0)) | ((sK1 @ c0 @ c0 @ c0) = $false) | ((sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) != (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))))) )),
2.48/0.66	  inference(duplicate_literal_removal,[],[f284])).
2.48/0.66	thf(f284,plain,(
2.48/0.66	  ( ! [X2 : iS,X0 : iS,X1 : iS] : (((sK1 @ c0 @ c0 @ c0) = $false) | ((sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) != (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) | ((sK1 @ c0 @ c0 @ c0) = $false) | ($true = (sK1 @ X2 @ X2 @ X2)) | ($true = (sK1 @ X0 @ X0 @ X0)) | ($true = (sK1 @ X1 @ X1 @ X1))) )),
2.48/0.66	  inference(beta_eta_normalization,[],[f283])).
2.48/0.66	thf(f283,plain,(
2.48/0.66	  ( ! [X2 : iS,X0 : iS,X1 : iS] : (((sK1 @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0 @ ((^[Y0 : iS]: (Y0)) @ c0)) = $false) | ($true = (sK1 @ X2 @ X2 @ X2)) | ($true = (sK1 @ X0 @ X0 @ X0)) | ($true = (sK1 @ ((^[Y0 : iS]: (Y0)) @ X1) @ X1 @ ((^[Y0 : iS]: (Y0)) @ X1))) | (((^[Y0 : iS]: (Y0)) @ (sK2 @ (^[Y0 : iS]: (sK1 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ ((^[Y1 : iS]: (Y1)) @ Y0))))) != (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) | ((sK1 @ c0 @ c0 @ c0) = $false)) )),
2.48/0.66	  inference(trivial_inequality_removal,[],[f282])).
2.48/0.66	thf(f282,plain,(
2.48/0.66	  ( ! [X2 : iS,X0 : iS,X1 : iS] : (((sK1 @ c0 @ c0 @ c0) = $false) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | ($true = (sK1 @ X0 @ X0 @ X0)) | ($true = (sK1 @ ((^[Y0 : iS]: (Y0)) @ X1) @ X1 @ ((^[Y0 : iS]: (Y0)) @ X1))) | (((^[Y0 : iS]: (Y0)) @ (sK2 @ (^[Y0 : iS]: (sK1 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ ((^[Y1 : iS]: (Y1)) @ Y0))))) != (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) | ($true = (sK1 @ X2 @ X2 @ X2)) | ((sK1 @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0 @ ((^[Y0 : iS]: (Y0)) @ c0)) = $false)) )),
2.48/0.66	  inference(duplicate_literal_removal,[],[f279])).
2.48/0.66	thf(f279,plain,(
2.48/0.66	  ( ! [X2 : iS,X0 : iS,X1 : iS] : (((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | ((sK1 @ c0 @ c0 @ c0) = $false) | (((^[Y0 : iS]: (Y0)) @ (sK2 @ (^[Y0 : iS]: (sK1 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ ((^[Y1 : iS]: (Y1)) @ Y0))))) != (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) | ($true = (sK1 @ ((^[Y0 : iS]: (Y0)) @ X1) @ X1 @ ((^[Y0 : iS]: (Y0)) @ X1))) | ($true = (sK1 @ X0 @ X0 @ X0)) | ((sK1 @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0 @ ((^[Y0 : iS]: (Y0)) @ c0)) = $false) | ($true = (sK1 @ X2 @ X2 @ X2))) )),
2.48/0.66	  inference(equality_resolution,[],[f276])).
2.48/0.66	thf(f276,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X0 : iS > iS,X1 : iS > iS,X4 : iS] : (((X1 @ (sK2 @ (^[Y0 : iS]: (sK1 @ (X1 @ Y0) @ Y0 @ (X0 @ Y0))))) != (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) | ((sK1 @ c0 @ c0 @ c0) = $false) | ((sK1 @ (X1 @ c0) @ c0 @ (X0 @ c0)) = $false) | ((X0 @ (sK2 @ (^[Y0 : iS]: (sK1 @ (X1 @ Y0) @ Y0 @ (X0 @ Y0))))) != (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) | ($true = (sK1 @ X4 @ X4 @ X4)) | ((sK1 @ (X1 @ X2) @ X2 @ (X0 @ X2)) = $true) | ((^[Y0 : iS]: (Y0)) != X0) | ($true = (sK1 @ X3 @ X3 @ X3)) | ((^[Y0 : iS]: (Y0)) != X1)) )),
2.48/0.66	  inference(beta_eta_normalization,[],[f275])).
2.48/0.66	thf(f275,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X0 : iS > iS,X1 : iS > iS,X4 : iS] : (((sK1 @ c0 @ c0 @ c0) = $false) | ((X1 @ (sK2 @ (^[Y0 : iS]: (sK1 @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X0 @ Y0))))) != (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (X0 @ Y0))) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (X1 @ Y0))) | ($true = (sK1 @ X4 @ X4 @ X4)) | ($true = (sK1 @ X3 @ X3 @ X3)) | ((X0 @ (sK2 @ (^[Y0 : iS]: (sK1 @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X0 @ Y0))))) != (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) | ($true = ((^[Y0 : iS]: (sK1 @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X0 @ Y0))) @ X2)) | ($false = ((^[Y0 : iS]: (sK1 @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X0 @ Y0))) @ c0))) )),
2.48/0.66	  inference(trivial_inequality_removal,[],[f262])).
2.48/0.66	thf(f262,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X0 : iS > iS,X1 : iS > iS,X4 : iS] : (((sK1 @ c0 @ c0 @ c0) = $false) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (X1 @ Y0))) | ((X1 @ (sK2 @ (^[Y0 : iS]: (sK1 @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X0 @ Y0))))) != (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (X0 @ Y0))) | ($true = (sK1 @ X4 @ X4 @ X4)) | ($true = ((^[Y0 : iS]: (sK1 @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X0 @ Y0))) @ X2)) | ($false = ((^[Y0 : iS]: (sK1 @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X0 @ Y0))) @ c0)) | ($true = $false) | ((X0 @ (sK2 @ (^[Y0 : iS]: (sK1 @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X0 @ Y0))))) != (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) | ($true = (sK1 @ X3 @ X3 @ X3))) )),
2.48/0.66	  inference(constrained_superposition,[],[f88,f256])).
2.48/0.66	thf(f256,plain,(
2.48/0.66	  ( ! [X0 : iS,X1 : iS] : (((sK1 @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) = $false) | ($true = (sK1 @ X1 @ X1 @ X1)) | ($true = (sK1 @ X0 @ X0 @ X0)) | ((sK1 @ c0 @ c0 @ c0) = $false)) )),
2.48/0.66	  inference(trivial_inequality_removal,[],[f255])).
2.48/0.66	thf(f255,plain,(
2.48/0.66	  ( ! [X0 : iS,X1 : iS] : (((sK1 @ c0 @ c0 @ c0) = $false) | ($true = (sK1 @ X1 @ X1 @ X1)) | ((sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) != (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) | ($true = (sK1 @ X0 @ X0 @ X0)) | ((sK1 @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) = $false)) )),
2.48/0.66	  inference(duplicate_literal_removal,[],[f254])).
2.48/0.66	thf(f254,plain,(
2.48/0.66	  ( ! [X0 : iS,X1 : iS] : (((sK1 @ c0 @ c0 @ c0) = $false) | ($true = (sK1 @ X0 @ X0 @ X0)) | ((sK1 @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) = $false) | ((sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) != (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) | ($true = (sK1 @ X1 @ X1 @ X1)) | ((sK1 @ c0 @ c0 @ c0) = $false)) )),
2.48/0.66	  inference(beta_eta_normalization,[],[f253])).
2.48/0.66	thf(f253,plain,(
2.48/0.66	  ( ! [X0 : iS,X1 : iS] : (($true = (sK1 @ X0 @ ((^[Y0 : iS]: (Y0)) @ X0) @ ((^[Y0 : iS]: (Y0)) @ X0))) | ($true = (sK1 @ X1 @ X1 @ X1)) | ((sK1 @ c0 @ c0 @ c0) = $false) | ((sK1 @ c0 @ ((^[Y0 : iS]: (Y0)) @ c0) @ ((^[Y0 : iS]: (Y0)) @ c0)) = $false) | (((^[Y0 : iS]: (Y0)) @ (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))))) != (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) | ((sK1 @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) = $false)) )),
2.48/0.66	  inference(trivial_inequality_removal,[],[f252])).
2.48/0.66	thf(f252,plain,(
2.48/0.66	  ( ! [X0 : iS,X1 : iS] : (((sK1 @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) = $false) | (((^[Y0 : iS]: (Y0)) @ (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))))) != (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) | ((sK1 @ c0 @ ((^[Y0 : iS]: (Y0)) @ c0) @ ((^[Y0 : iS]: (Y0)) @ c0)) = $false) | ($true = (sK1 @ X0 @ ((^[Y0 : iS]: (Y0)) @ X0) @ ((^[Y0 : iS]: (Y0)) @ X0))) | ($true = (sK1 @ X1 @ X1 @ X1)) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | ((sK1 @ c0 @ c0 @ c0) = $false)) )),
2.48/0.66	  inference(duplicate_literal_removal,[],[f249])).
2.48/0.66	thf(f249,plain,(
2.48/0.66	  ( ! [X0 : iS,X1 : iS] : (($true = (sK1 @ X1 @ X1 @ X1)) | (((^[Y0 : iS]: (Y0)) @ (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))))) != (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) | ((sK1 @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) = $false) | ((sK1 @ c0 @ ((^[Y0 : iS]: (Y0)) @ c0) @ ((^[Y0 : iS]: (Y0)) @ c0)) = $false) | ((sK1 @ c0 @ c0 @ c0) = $false) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | ($true = (sK1 @ X0 @ ((^[Y0 : iS]: (Y0)) @ X0) @ ((^[Y0 : iS]: (Y0)) @ X0)))) )),
2.48/0.66	  inference(equality_resolution,[],[f237])).
2.48/0.66	thf(f237,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X0 : iS > iS,X1 : iS > iS] : (((sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) != (X1 @ (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) | ((X0 @ (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ (X0 @ Y0) @ (X1 @ Y0))))) != (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) | ((^[Y0 : iS]: (Y0)) != X0) | ($true = (sK1 @ X2 @ (X0 @ X2) @ (X1 @ X2))) | ((^[Y0 : iS]: (Y0)) != X1) | ((sK1 @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) = $false) | ($true = (sK1 @ X3 @ X3 @ X3)) | ((sK1 @ c0 @ (X0 @ c0) @ (X1 @ c0)) = $false) | ((sK1 @ c0 @ c0 @ c0) = $false)) )),
2.48/0.66	  inference(beta_eta_normalization,[],[f236])).
2.48/0.66	thf(f236,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X0 : iS > iS,X1 : iS > iS] : (((sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) != (X1 @ (sK3 @ (^[Y0 : iS]: (sK1 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X0 @ Y0) @ (X1 @ Y0)))))) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (X0 @ Y0))) | ((X0 @ (sK3 @ (^[Y0 : iS]: (sK1 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X0 @ Y0) @ (X1 @ Y0))))) != (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) | ($true = ((^[Y0 : iS]: (sK1 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X0 @ Y0) @ (X1 @ Y0))) @ X2)) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (X1 @ Y0))) | ($true = (sK1 @ X3 @ X3 @ X3)) | ((sK1 @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) = $false) | (((^[Y0 : iS]: (sK1 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X0 @ Y0) @ (X1 @ Y0))) @ c0) = $false) | ((sK1 @ c0 @ c0 @ c0) = $false)) )),
2.48/0.66	  inference(trivial_inequality_removal,[],[f232])).
2.48/0.66	thf(f232,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X0 : iS > iS,X1 : iS > iS] : (((X0 @ (sK3 @ (^[Y0 : iS]: (sK1 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X0 @ Y0) @ (X1 @ Y0))))) != (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) | ((sK1 @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) = $false) | ((sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) != (X1 @ (sK3 @ (^[Y0 : iS]: (sK1 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X0 @ Y0) @ (X1 @ Y0)))))) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (X1 @ Y0))) | (((^[Y0 : iS]: (sK1 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X0 @ Y0) @ (X1 @ Y0))) @ c0) = $false) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (X0 @ Y0))) | ($true = $false) | ((sK1 @ c0 @ c0 @ c0) = $false) | ($true = ((^[Y0 : iS]: (sK1 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X0 @ Y0) @ (X1 @ Y0))) @ X2)) | ($true = (sK1 @ X3 @ X3 @ X3))) )),
2.48/0.66	  inference(constrained_superposition,[],[f89,f227])).
2.48/0.66	thf(f227,plain,(
2.48/0.66	  ( ! [X0 : iS] : (((sK1 @ (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) = $false) | ((sK1 @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) = $false) | ($true = (sK1 @ X0 @ X0 @ X0)) | ((sK1 @ c0 @ c0 @ c0) = $false)) )),
2.48/0.66	  inference(equality_resolution,[],[f226])).
2.48/0.66	thf(f226,plain,(
2.48/0.66	  ( ! [X0 : iS,X1 : iS] : (((sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) != X0) | ((sK1 @ (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) = $false) | ((sK1 @ c0 @ c0 @ c0) = $false) | ($true = (sK1 @ X1 @ X1 @ X1)) | ((sK1 @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ X0 @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) = $false)) )),
2.48/0.66	  inference(equality_resolution,[],[f225])).
2.48/0.66	thf(f225,plain,(
2.48/0.66	  ( ! [X2 : iS,X0 : iS,X1 : iS] : (((sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) != X0) | ((sK1 @ c0 @ c0 @ c0) = $false) | ((sK1 @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ X2 @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) = $false) | ((sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) != X2) | ((sK1 @ (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0))) @ X0 @ (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ Y0)))) = $false) | ($true = (sK1 @ X1 @ X1 @ X1))) )),
2.48/0.66	  inference(beta_eta_normalization,[],[f222])).
2.48/0.66	thf(f222,plain,(
2.48/0.66	  ( ! [X2 : iS,X0 : iS,X1 : iS] : (($true = (sK1 @ X1 @ X1 @ ((^[Y0 : iS]: (Y0)) @ X1))) | ((sK1 @ c0 @ c0 @ ((^[Y0 : iS]: (Y0)) @ c0)) = $false) | ((sK1 @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ ((^[Y1 : iS]: (Y1)) @ Y0)))) @ X2 @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ ((^[Y1 : iS]: (Y1)) @ Y0))))) = $false) | ((sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ ((^[Y1 : iS]: (Y1)) @ Y0)))) != X0) | ((sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ ((^[Y1 : iS]: (Y1)) @ Y0)))) != X2) | ($false = (sK1 @ (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ ((^[Y1 : iS]: (Y1)) @ Y0)))) @ X0 @ (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ ((^[Y1 : iS]: (Y1)) @ Y0))))))) )),
2.48/0.66	  inference(equality_resolution,[],[f212])).
2.48/0.66	thf(f212,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : iS > iS,X4 : iS,X5 : iS] : (((cP @ X3 @ X4) != (X1 @ (cP @ (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ (X1 @ Y0)))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ (X1 @ Y0))))))) | ((sK1 @ (sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ (X1 @ Y0)))) @ X2 @ X3) = $false) | ((sK3 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ (X1 @ Y0)))) != X2) | ($true = (sK1 @ X0 @ X0 @ (X1 @ X0))) | ((sK1 @ (sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ (X1 @ Y0)))) @ X5 @ X4) = $false) | ((sK1 @ c0 @ c0 @ (X1 @ c0)) = $false) | ((sK2 @ (^[Y0 : iS]: (sK1 @ Y0 @ Y0 @ (X1 @ Y0)))) != X5)) )),
2.48/0.66	  inference(beta_eta_normalization,[],[f209])).
2.48/0.66	thf(f209,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : iS > iS,X4 : iS,X5 : iS] : (((sK1 @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0 @ (X1 @ c0)) = $false) | ((cP @ X3 @ X4) != (X1 @ (cP @ (sK3 @ (^[Y0 : iS]: (sK1 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ (X1 @ Y0)))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ (X1 @ Y0))))))) | ((sK2 @ (^[Y0 : iS]: (sK1 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ (X1 @ Y0)))) != X5) | ((sK1 @ (sK3 @ (^[Y0 : iS]: (sK1 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ (X1 @ Y0)))) @ X2 @ X3) = $false) | ((sK1 @ (sK2 @ (^[Y0 : iS]: (sK1 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ (X1 @ Y0)))) @ X5 @ X4) = $false) | ((sK1 @ ((^[Y0 : iS]: (Y0)) @ X0) @ X0 @ (X1 @ X0)) = $true) | ((sK3 @ (^[Y0 : iS]: (sK1 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ (X1 @ Y0)))) != X2)) )),
2.48/0.66	  inference(equality_resolution,[],[f180])).
2.48/0.66	thf(f180,plain,(
2.48/0.66	  ( ! [X2 : iS > iS,X3 : iS > iS,X0 : iS,X1 : iS,X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : (((cP @ X4 @ X5) != (X3 @ (cP @ (sK3 @ (^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ Y0 @ (X2 @ Y0)))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ Y0 @ (X2 @ Y0))))))) | ($true = (sK1 @ (X3 @ X8) @ X8 @ (X2 @ X8))) | ((sK3 @ (^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ Y0 @ (X2 @ Y0)))) != X6) | ((X2 @ (cP @ (sK3 @ (^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ Y0 @ (X2 @ Y0)))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ Y0 @ (X2 @ Y0)))))) != (cP @ X0 @ X1)) | ((sK1 @ (X3 @ c0) @ c0 @ (X2 @ c0)) = $false) | ((sK1 @ X5 @ X7 @ X1) = $false) | ((sK1 @ X4 @ X6 @ X0) = $false) | ((sK2 @ (^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ Y0 @ (X2 @ Y0)))) != X7)) )),
2.48/0.66	  inference(beta_eta_normalization,[],[f179])).
2.48/0.66	thf(f179,plain,(
2.48/0.66	  ( ! [X2 : iS > iS,X3 : iS > iS,X0 : iS,X1 : iS,X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : (($true = ((^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X2 @ Y0))) @ X8)) | ((cP @ X0 @ X1) != (X2 @ (cP @ (sK3 @ (^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X2 @ Y0)))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X2 @ Y0))))))) | ((sK2 @ (^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X2 @ Y0)))) != X7) | ((cP @ X4 @ X5) != (X3 @ (cP @ (sK3 @ (^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X2 @ Y0)))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X2 @ Y0))))))) | ($false = ((^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X2 @ Y0))) @ c0)) | ((sK3 @ (^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X2 @ Y0)))) != X6) | ((sK1 @ X4 @ X6 @ X0) = $false) | ((sK1 @ X5 @ X7 @ X1) = $false)) )),
2.48/0.66	  inference(trivial_inequality_removal,[],[f173])).
2.48/0.66	thf(f173,plain,(
2.48/0.66	  ( ! [X2 : iS > iS,X3 : iS > iS,X0 : iS,X1 : iS,X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : (($false = ((^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X2 @ Y0))) @ c0)) | ((sK2 @ (^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X2 @ Y0)))) != X7) | ($true = ((^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X2 @ Y0))) @ X8)) | ((cP @ X0 @ X1) != (X2 @ (cP @ (sK3 @ (^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X2 @ Y0)))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X2 @ Y0))))))) | ((cP @ X4 @ X5) != (X3 @ (cP @ (sK3 @ (^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X2 @ Y0)))) @ (sK2 @ (^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X2 @ Y0))))))) | ($true = $false) | ((sK1 @ X4 @ X6 @ X0) = $false) | ((sK3 @ (^[Y0 : iS]: (sK1 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X2 @ Y0)))) != X6) | ((sK1 @ X5 @ X7 @ X1) = $false)) )),
2.48/0.66	  inference(constrained_superposition,[],[f171,f86])).
2.48/0.66	thf(f86,plain,(
2.48/0.66	  ( ! [X2 : iS,X1 : iS > $o] : (((X1 @ (cP @ (sK3 @ X1) @ (sK2 @ X1))) = $false) | ((X1 @ c0) = $false) | ($true = (X1 @ X2))) )),
2.48/0.66	  inference(pi_clausification,[],[f84])).
2.48/0.66	thf(f84,plain,(
2.48/0.66	  ( ! [X1 : iS > $o] : (((X1 @ (cP @ (sK3 @ X1) @ (sK2 @ X1))) = $false) | ((X1 @ c0) = $false) | ((!! @ iS @ X1) = $true)) )),
2.48/0.66	  inference(binary_proxy_clausification,[],[f83])).
2.48/0.66	thf(f83,plain,(
2.48/0.66	  ( ! [X1 : iS > $o] : (((((X1 @ (sK3 @ X1)) & (X1 @ (sK2 @ X1))) => (X1 @ (cP @ (sK3 @ X1) @ (sK2 @ X1)))) = $false) | ((!! @ iS @ X1) = $true) | ((X1 @ c0) = $false)) )),
2.48/0.66	  inference(beta_eta_normalization,[],[f82])).
2.48/0.66	thf(f82,plain,(
2.48/0.66	  ( ! [X1 : iS > $o] : ((((^[Y0 : iS]: (((X1 @ Y0) & (X1 @ (sK2 @ X1))) => (X1 @ (cP @ Y0 @ (sK2 @ X1))))) @ (sK3 @ X1)) = $false) | ((!! @ iS @ X1) = $true) | ((X1 @ c0) = $false)) )),
2.48/0.66	  inference(sigma_clausification,[],[f81])).
2.48/0.66	thf(f81,plain,(
2.48/0.66	  ( ! [X1 : iS > $o] : (((!! @ iS @ (^[Y0 : iS]: (((X1 @ Y0) & (X1 @ (sK2 @ X1))) => (X1 @ (cP @ Y0 @ (sK2 @ X1)))))) = $false) | ((!! @ iS @ X1) = $true) | ((X1 @ c0) = $false)) )),
2.48/0.66	  inference(beta_eta_normalization,[],[f80])).
2.48/0.66	thf(f80,plain,(
2.48/0.66	  ( ! [X1 : iS > $o] : (((!! @ iS @ X1) = $true) | ((X1 @ c0) = $false) | (((^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (((X1 @ Y1) & (X1 @ Y0)) => (X1 @ (cP @ Y1 @ Y0)))))) @ (sK2 @ X1)) = $false)) )),
2.48/0.66	  inference(sigma_clausification,[],[f79])).
2.48/0.66	thf(f79,plain,(
2.48/0.66	  ( ! [X1 : iS > $o] : (($false = (!! @ iS @ (^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (((X1 @ Y1) & (X1 @ Y0)) => (X1 @ (cP @ Y1 @ Y0)))))))) | ((!! @ iS @ X1) = $true) | ((X1 @ c0) = $false)) )),
2.48/0.66	  inference(binary_proxy_clausification,[],[f78])).
2.48/0.66	thf(f78,plain,(
2.48/0.66	  ( ! [X1 : iS > $o] : ((((X1 @ c0) & (!! @ iS @ (^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (((X1 @ Y1) & (X1 @ Y0)) => (X1 @ (cP @ Y1 @ Y0)))))))) = $false) | ((!! @ iS @ X1) = $true)) )),
2.48/0.66	  inference(binary_proxy_clausification,[],[f77])).
2.48/0.66	thf(f77,plain,(
2.48/0.66	  ( ! [X1 : iS > $o] : (($true = (((X1 @ c0) & (!! @ iS @ (^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (((X1 @ Y1) & (X1 @ Y0)) => (X1 @ (cP @ Y1 @ Y0)))))))) => (!! @ iS @ X1)))) )),
2.48/0.66	  inference(beta_eta_normalization,[],[f76])).
2.48/0.66	thf(f76,plain,(
2.48/0.66	  ( ! [X1 : iS > $o] : (($true = ((^[Y0 : iS > $o]: (((Y0 @ c0) & (!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (((Y0 @ Y2) & (Y0 @ Y1)) => (Y0 @ (cP @ Y2 @ Y1)))))))) => (!! @ iS @ Y0))) @ X1))) )),
2.48/0.66	  inference(pi_clausification,[],[f68])).
2.48/0.66	thf(f68,plain,(
2.48/0.66	  ($true = (!! @ (iS > $o) @ (^[Y0 : iS > $o]: (((Y0 @ c0) & (!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (((Y0 @ Y2) & (Y0 @ Y1)) => (Y0 @ (cP @ Y2 @ Y1)))))))) => (!! @ iS @ Y0)))))),
2.48/0.66	  inference(binary_proxy_clausification,[],[f53])).
2.48/0.66	thf(f53,plain,(
2.48/0.66	  (((!! @ iS @ (^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (~ (c0 = (cP @ Y1 @ Y0))))))) & (!! @ (iS > $o) @ (^[Y0 : iS > $o]: (((Y0 @ c0) & (!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (((Y0 @ Y2) & (Y0 @ Y1)) => (Y0 @ (cP @ Y2 @ Y1)))))))) => (!! @ iS @ Y0))))) = $true)),
2.48/0.66	  inference(binary_proxy_clausification,[],[f11])).
2.48/0.66	thf(f11,plain,(
2.48/0.66	  ($true = (((!! @ iS @ (^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (~ (c0 = (cP @ Y1 @ Y0))))))) & (!! @ (iS > $o) @ (^[Y0 : iS > $o]: (((Y0 @ c0) & (!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (((Y0 @ Y2) & (Y0 @ Y1)) => (Y0 @ (cP @ Y2 @ Y1)))))))) => (!! @ iS @ Y0))))) & (!! @ iS @ (^[Y0 : iS]: (!! @ iS @ (^[Y1 : iS]: (!! @ iS @ (^[Y2 : iS]: (!! @ iS @ (^[Y3 : iS]: (((cP @ Y2 @ Y3) = (cP @ Y1 @ Y0)) => ((Y2 = Y1) & (Y3 = Y0)))))))))))))),
2.48/0.66	  inference(binary_proxy_clausification,[],[f9])).
2.48/0.66	thf(f171,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : iS,X4 : iS,X5 : iS] : (($true = (sK1 @ (cP @ X3 @ X0) @ (cP @ X4 @ X1) @ (cP @ X5 @ X2))) | ((sK1 @ X0 @ X1 @ X2) = $false) | ((sK1 @ X3 @ X4 @ X5) = $false)) )),
2.48/0.66	  inference(equality_resolution,[],[f170])).
2.48/0.66	thf(f170,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : iS,X6 : iS,X4 : iS,X5 : iS] : (((cP @ X6 @ X2) != X5) | ((sK1 @ X0 @ X1 @ X2) = $false) | ($true = (sK1 @ (cP @ X3 @ X0) @ (cP @ X4 @ X1) @ X5)) | ((sK1 @ X3 @ X4 @ X6) = $false)) )),
2.48/0.66	  inference(equality_resolution,[],[f169])).
2.48/0.66	thf(f169,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : (((cP @ X7 @ X4) != X0) | ((sK1 @ X4 @ X2 @ X5) = $false) | ($true = (sK1 @ X0 @ (cP @ X1 @ X2) @ X3)) | ((sK1 @ X7 @ X1 @ X6) = $false) | ((cP @ X6 @ X5) != X3)) )),
2.48/0.66	  inference(equality_resolution,[],[f48])).
2.48/0.66	thf(f48,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS,X8 : iS,X6 : iS,X9 : iS,X7 : iS,X4 : iS,X5 : iS] : (((cP @ X9 @ X5) != X1) | ($true = (sK1 @ X2 @ X1 @ X3)) | ((sK1 @ X4 @ X5 @ X7) = $false) | ((cP @ X8 @ X7) != X3) | ((sK1 @ X6 @ X9 @ X8) = $false) | ((cP @ X6 @ X4) != X2)) )),
2.48/0.66	  inference(equality_proxy_clausification,[],[f47])).
2.48/0.66	thf(f47,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS,X8 : iS,X6 : iS,X9 : iS,X7 : iS,X4 : iS,X5 : iS] : (((sK1 @ X6 @ X9 @ X8) = $false) | ($true = (sK1 @ X2 @ X1 @ X3)) | (((cP @ X8 @ X7) = X3) = $false) | ((sK1 @ X4 @ X5 @ X7) = $false) | ((cP @ X9 @ X5) != X1) | ((cP @ X6 @ X4) != X2)) )),
2.48/0.66	  inference(binary_proxy_clausification,[],[f46])).
2.48/0.66	thf(f46,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS,X8 : iS,X6 : iS,X9 : iS,X7 : iS,X4 : iS,X5 : iS] : (((cP @ X6 @ X4) != X2) | ((cP @ X9 @ X5) != X1) | ($true = (sK1 @ X2 @ X1 @ X3)) | ($false = ((sK1 @ X6 @ X9 @ X8) & ((cP @ X8 @ X7) = X3))) | ((sK1 @ X4 @ X5 @ X7) = $false)) )),
2.48/0.66	  inference(binary_proxy_clausification,[],[f45])).
2.48/0.66	thf(f45,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS,X8 : iS,X6 : iS,X9 : iS,X7 : iS,X4 : iS,X5 : iS] : (((cP @ X9 @ X5) != X1) | ((((sK1 @ X6 @ X9 @ X8) & ((cP @ X8 @ X7) = X3)) & (sK1 @ X4 @ X5 @ X7)) = $false) | ((cP @ X6 @ X4) != X2) | ($true = (sK1 @ X2 @ X1 @ X3))) )),
2.48/0.66	  inference(equality_proxy_clausification,[],[f44])).
2.48/0.66	thf(f44,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS,X8 : iS,X6 : iS,X9 : iS,X7 : iS,X4 : iS,X5 : iS] : (((cP @ X9 @ X5) != X1) | (((cP @ X6 @ X4) = X2) = $false) | ((((sK1 @ X6 @ X9 @ X8) & ((cP @ X8 @ X7) = X3)) & (sK1 @ X4 @ X5 @ X7)) = $false) | ($true = (sK1 @ X2 @ X1 @ X3))) )),
2.48/0.66	  inference(equality_proxy_clausification,[],[f43])).
2.48/0.66	thf(f43,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS,X8 : iS,X6 : iS,X9 : iS,X7 : iS,X4 : iS,X5 : iS] : ((((cP @ X9 @ X5) = X1) = $false) | ($true = (sK1 @ X2 @ X1 @ X3)) | (((cP @ X6 @ X4) = X2) = $false) | ((((sK1 @ X6 @ X9 @ X8) & ((cP @ X8 @ X7) = X3)) & (sK1 @ X4 @ X5 @ X7)) = $false)) )),
2.48/0.66	  inference(binary_proxy_clausification,[],[f42])).
2.48/0.66	thf(f42,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS,X8 : iS,X6 : iS,X9 : iS,X7 : iS,X4 : iS,X5 : iS] : (($true = (sK1 @ X2 @ X1 @ X3)) | (((((sK1 @ X6 @ X9 @ X8) & ((cP @ X8 @ X7) = X3)) & (sK1 @ X4 @ X5 @ X7)) & ((cP @ X6 @ X4) = X2)) = $false) | (((cP @ X9 @ X5) = X1) = $false)) )),
2.48/0.66	  inference(binary_proxy_clausification,[],[f41])).
2.48/0.66	thf(f41,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS,X8 : iS,X6 : iS,X9 : iS,X7 : iS,X4 : iS,X5 : iS] : (($true = (sK1 @ X2 @ X1 @ X3)) | ((((((sK1 @ X6 @ X9 @ X8) & ((cP @ X8 @ X7) = X3)) & (sK1 @ X4 @ X5 @ X7)) & ((cP @ X6 @ X4) = X2)) & ((cP @ X9 @ X5) = X1)) = $false)) )),
2.48/0.66	  inference(beta_eta_normalization,[],[f40])).
2.48/0.66	thf(f40,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS,X8 : iS,X6 : iS,X9 : iS,X7 : iS,X4 : iS,X5 : iS] : ((((^[Y0 : iS]: (((((sK1 @ X6 @ Y0 @ X8) & ((cP @ X8 @ X7) = X3)) & (sK1 @ X4 @ X5 @ X7)) & ((cP @ X6 @ X4) = X2)) & ((cP @ Y0 @ X5) = X1))) @ X9) = $false) | ($true = (sK1 @ X2 @ X1 @ X3))) )),
2.48/0.66	  inference(pi_clausification,[],[f39])).
2.48/0.66	thf(f39,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS,X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : (((?? @ iS @ (^[Y0 : iS]: (((((sK1 @ X6 @ Y0 @ X8) & ((cP @ X8 @ X7) = X3)) & (sK1 @ X4 @ X5 @ X7)) & ((cP @ X6 @ X4) = X2)) & ((cP @ Y0 @ X5) = X1)))) = $false) | ($true = (sK1 @ X2 @ X1 @ X3))) )),
2.48/0.66	  inference(beta_eta_normalization,[],[f38])).
2.48/0.66	thf(f38,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS,X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : ((((^[Y0 : iS]: (?? @ iS @ (^[Y1 : iS]: (((((sK1 @ X6 @ Y1 @ Y0) & ((cP @ Y0 @ X7) = X3)) & (sK1 @ X4 @ X5 @ X7)) & ((cP @ X6 @ X4) = X2)) & ((cP @ Y1 @ X5) = X1))))) @ X8) = $false) | ($true = (sK1 @ X2 @ X1 @ X3))) )),
2.48/0.66	  inference(pi_clausification,[],[f37])).
2.48/0.66	thf(f37,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : (($true = (sK1 @ X2 @ X1 @ X3)) | ((?? @ iS @ (^[Y0 : iS]: (?? @ iS @ (^[Y1 : iS]: (((((sK1 @ X6 @ Y1 @ Y0) & ((cP @ Y0 @ X7) = X3)) & (sK1 @ X4 @ X5 @ X7)) & ((cP @ X6 @ X4) = X2)) & ((cP @ Y1 @ X5) = X1)))))) = $false)) )),
2.48/0.66	  inference(beta_eta_normalization,[],[f36])).
2.48/0.66	thf(f36,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : (($true = (sK1 @ X2 @ X1 @ X3)) | (((^[Y0 : iS]: (?? @ iS @ (^[Y1 : iS]: (?? @ iS @ (^[Y2 : iS]: (((((sK1 @ X6 @ Y2 @ Y1) & ((cP @ Y1 @ Y0) = X3)) & (sK1 @ X4 @ X5 @ Y0)) & ((cP @ X6 @ X4) = X2)) & ((cP @ Y2 @ X5) = X1))))))) @ X7) = $false)) )),
2.48/0.66	  inference(pi_clausification,[],[f35])).
2.48/0.66	thf(f35,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS,X6 : iS,X4 : iS,X5 : iS] : (($true = (sK1 @ X2 @ X1 @ X3)) | ((?? @ iS @ (^[Y0 : iS]: (?? @ iS @ (^[Y1 : iS]: (?? @ iS @ (^[Y2 : iS]: (((((sK1 @ X6 @ Y2 @ Y1) & ((cP @ Y1 @ Y0) = X3)) & (sK1 @ X4 @ X5 @ Y0)) & ((cP @ X6 @ X4) = X2)) & ((cP @ Y2 @ X5) = X1)))))))) = $false)) )),
2.48/0.66	  inference(beta_eta_normalization,[],[f34])).
2.48/0.66	thf(f34,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS,X6 : iS,X4 : iS,X5 : iS] : (($true = (sK1 @ X2 @ X1 @ X3)) | (((^[Y0 : iS]: (?? @ iS @ (^[Y1 : iS]: (?? @ iS @ (^[Y2 : iS]: (?? @ iS @ (^[Y3 : iS]: (((((sK1 @ Y0 @ Y3 @ Y2) & ((cP @ Y2 @ Y1) = X3)) & (sK1 @ X4 @ X5 @ Y1)) & ((cP @ Y0 @ X4) = X2)) & ((cP @ Y3 @ X5) = X1))))))))) @ X6) = $false)) )),
2.48/0.66	  inference(pi_clausification,[],[f33])).
2.48/0.66	thf(f33,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS,X4 : iS,X5 : iS] : (($false = (?? @ iS @ (^[Y0 : iS]: (?? @ iS @ (^[Y1 : iS]: (?? @ iS @ (^[Y2 : iS]: (?? @ iS @ (^[Y3 : iS]: (((((sK1 @ Y0 @ Y3 @ Y2) & ((cP @ Y2 @ Y1) = X3)) & (sK1 @ X4 @ X5 @ Y1)) & ((cP @ Y0 @ X4) = X2)) & ((cP @ Y3 @ X5) = X1))))))))))) | ($true = (sK1 @ X2 @ X1 @ X3))) )),
2.48/0.66	  inference(beta_eta_normalization,[],[f32])).
2.48/0.66	thf(f32,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS,X4 : iS,X5 : iS] : (($true = (sK1 @ X2 @ X1 @ X3)) | (((^[Y0 : iS]: (?? @ iS @ (^[Y1 : iS]: (?? @ iS @ (^[Y2 : iS]: (?? @ iS @ (^[Y3 : iS]: (?? @ iS @ (^[Y4 : iS]: (((((sK1 @ Y1 @ Y4 @ Y3) & ((cP @ Y3 @ Y2) = X3)) & (sK1 @ X4 @ Y0 @ Y2)) & ((cP @ Y1 @ X4) = X2)) & ((cP @ Y4 @ Y0) = X1))))))))))) @ X5) = $false)) )),
2.48/0.66	  inference(pi_clausification,[],[f31])).
2.48/0.66	thf(f31,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS,X4 : iS] : (($true = (sK1 @ X2 @ X1 @ X3)) | ((?? @ iS @ (^[Y0 : iS]: (?? @ iS @ (^[Y1 : iS]: (?? @ iS @ (^[Y2 : iS]: (?? @ iS @ (^[Y3 : iS]: (?? @ iS @ (^[Y4 : iS]: (((((sK1 @ Y1 @ Y4 @ Y3) & ((cP @ Y3 @ Y2) = X3)) & (sK1 @ X4 @ Y0 @ Y2)) & ((cP @ Y1 @ X4) = X2)) & ((cP @ Y4 @ Y0) = X1)))))))))))) = $false)) )),
2.48/0.66	  inference(beta_eta_normalization,[],[f30])).
2.48/0.66	thf(f30,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS,X4 : iS] : (($true = (sK1 @ X2 @ X1 @ X3)) | (((^[Y0 : iS]: (?? @ iS @ (^[Y1 : iS]: (?? @ iS @ (^[Y2 : iS]: (?? @ iS @ (^[Y3 : iS]: (?? @ iS @ (^[Y4 : iS]: (?? @ iS @ (^[Y5 : iS]: (((((sK1 @ Y2 @ Y5 @ Y4) & ((cP @ Y4 @ Y3) = X3)) & (sK1 @ Y0 @ Y1 @ Y3)) & ((cP @ Y2 @ Y0) = X2)) & ((cP @ Y5 @ Y1) = X1))))))))))))) @ X4) = $false)) )),
2.48/0.66	  inference(pi_clausification,[],[f29])).
2.48/0.66	thf(f29,plain,(
2.48/0.66	  ( ! [X2 : iS,X3 : iS,X1 : iS] : (($true = (sK1 @ X2 @ X1 @ X3)) | ((?? @ iS @ (^[Y0 : iS]: (?? @ iS @ (^[Y1 : iS]: (?? @ iS @ (^[Y2 : iS]: (?? @ iS @ (^[Y3 : iS]: (?? @ iS @ (^[Y4 : iS]: (?? @ iS @ (^[Y5 : iS]: (((((sK1 @ Y2 @ Y5 @ Y4) & ((cP @ Y4 @ Y3) = X3)) & (sK1 @ Y0 @ Y1 @ Y3)) & ((cP @ Y2 @ Y0) = X2)) & ((cP @ Y5 @ Y1) = X1)))))))))))))) = $false)) )),
2.48/0.66	  inference(binary_proxy_clausification,[],[f24])).
2.48/0.66	thf(f89,plain,(
2.48/0.66	  ( ! [X2 : iS,X1 : iS > $o] : (((X1 @ (sK3 @ X1)) = $true) | ($true = (X1 @ X2)) | ((X1 @ c0) = $false)) )),
2.48/0.66	  inference(binary_proxy_clausification,[],[f87])).
2.48/0.66	thf(f87,plain,(
2.48/0.66	  ( ! [X2 : iS,X1 : iS > $o] : (($true = (X1 @ X2)) | ((X1 @ c0) = $false) | ($true = ((X1 @ (sK3 @ X1)) & (X1 @ (sK2 @ X1))))) )),
2.48/0.66	  inference(pi_clausification,[],[f85])).
2.48/0.66	thf(f85,plain,(
2.48/0.66	  ( ! [X1 : iS > $o] : (((!! @ iS @ X1) = $true) | ($true = ((X1 @ (sK3 @ X1)) & (X1 @ (sK2 @ X1)))) | ((X1 @ c0) = $false)) )),
2.48/0.66	  inference(binary_proxy_clausification,[],[f83])).
2.48/0.66	thf(f88,plain,(
2.48/0.66	  ( ! [X2 : iS,X1 : iS > $o] : (($true = (X1 @ (sK2 @ X1))) | ($true = (X1 @ X2)) | ((X1 @ c0) = $false)) )),
2.48/0.66	  inference(binary_proxy_clausification,[],[f87])).
2.48/0.66	thf(f14,plain,(
2.48/0.66	  ((sK1 @ x @ x @ x) = $false)),
2.48/0.66	  inference(binary_proxy_clausification,[],[f13])).
2.48/0.66	% SZS output end Proof for Vampire---4
2.48/0.66	% (15434)------------------------------
2.48/0.66	% (15434)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.48/0.66	% (15434)Termination reason: Refutation
2.48/0.66	
2.48/0.66	% (15434)Memory used [KB]: 6268
2.48/0.66	% (15434)Time elapsed: 0.112 s
2.48/0.66	% (15434)Instructions burned: 178 (million)
2.48/0.66	% (15434)------------------------------
2.48/0.66	% (15434)------------------------------
2.48/0.66	% (15402)Success in time 0.347 s
2.48/0.66	% Vampire---4.8 exiting
2.48/0.66	EOF