0.07/0.12	% Problem    : Vampire---4.8_20420 : TPTP v0.0.0. Released v0.0.0.
0.07/0.14	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.13/0.34	% Computer : n029.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 1440
0.13/0.34	% WCLimit    : 180
0.13/0.34	% DateTime   : Mon Jul  3 13:26:57 EDT 2023
0.13/0.34	% CPUTime    : 
0.13/0.35	This is a THF_ problem
0.13/0.35	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.4ya5l2fMV8/Vampire---4.8_20420 -m 12000  -t 180
0.13/0.37	% (20532)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.13/0.37	% (20530)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)
0.13/0.37	% (20533)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)
0.13/0.37	% (20535)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)
0.13/0.37	% (20534)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)
0.13/0.37	% (20528)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.13/0.37	% (20534)Instruction limit reached!
0.13/0.37	% (20534)------------------------------
0.13/0.37	% (20534)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.13/0.37	% (20534)Termination reason: Unknown
0.13/0.37	% (20534)Termination phase: Property scanning
0.13/0.37	
0.13/0.37	% (20534)Memory used [KB]: 1023
0.13/0.37	% (20534)Time elapsed: 0.004 s
0.13/0.37	% (20534)Instructions burned: 5 (million)
0.13/0.37	% (20534)------------------------------
0.13/0.37	% (20534)------------------------------
0.20/0.38	% (20532)Instruction limit reached!
0.20/0.38	% (20532)------------------------------
0.20/0.38	% (20532)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.38	% (20532)Termination reason: Unknown
0.20/0.38	% (20532)Termination phase: Saturation
0.20/0.38	
0.20/0.38	% (20532)Memory used [KB]: 5628
0.20/0.38	% (20532)Time elapsed: 0.011 s
0.20/0.38	% (20532)Instructions burned: 18 (million)
0.20/0.38	% (20532)------------------------------
0.20/0.38	% (20532)------------------------------
0.20/0.38	% (20535)Refutation not found, incomplete strategy
0.20/0.38	% (20535)------------------------------
0.20/0.38	% (20535)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.38	% (20535)Termination reason: Refutation not found, incomplete strategy
0.20/0.38	
0.20/0.38	
0.20/0.38	% (20535)Memory used [KB]: 5628
0.20/0.38	% (20535)Time elapsed: 0.011 s
0.20/0.38	% (20535)Instructions burned: 10 (million)
0.20/0.38	% (20535)------------------------------
0.20/0.38	% (20535)------------------------------
0.20/0.38	% (20529)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.20/0.38	% (20531)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)
0.20/0.39	% (20536)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)
0.20/0.39	% (20530)Instruction limit reached!
0.20/0.39	% (20530)------------------------------
0.20/0.39	% (20530)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.39	% (20530)Termination reason: Unknown
0.20/0.39	% (20530)Termination phase: Saturation
0.20/0.39	
0.20/0.39	% (20530)Memory used [KB]: 5884
0.20/0.39	% (20530)Time elapsed: 0.022 s
0.20/0.39	% (20530)Instructions burned: 35 (million)
0.20/0.39	% (20530)------------------------------
0.20/0.39	% (20530)------------------------------
0.20/0.39	% (20537)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi)
0.20/0.39	% (20537)Instruction limit reached!
0.20/0.39	% (20537)------------------------------
0.20/0.39	% (20537)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.39	% (20537)Termination reason: Unknown
0.20/0.39	% (20537)Termination phase: Property scanning
0.20/0.39	
0.20/0.39	% (20537)Memory used [KB]: 1023
0.20/0.39	% (20537)Time elapsed: 0.005 s
0.20/0.39	% (20537)Instructions burned: 7 (million)
0.20/0.39	% (20537)------------------------------
0.20/0.39	% (20537)------------------------------
0.20/0.40	% (20536)Instruction limit reached!
0.20/0.40	% (20536)------------------------------
0.20/0.40	% (20536)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.40	% (20536)Termination reason: Unknown
0.20/0.40	% (20536)Termination phase: Saturation
0.20/0.40	
0.20/0.40	% (20536)Memory used [KB]: 5756
0.20/0.40	% (20536)Time elapsed: 0.015 s
0.20/0.40	% (20536)Instructions burned: 22 (million)
0.20/0.40	% (20536)------------------------------
0.20/0.40	% (20536)------------------------------
0.20/0.40	% (20529)Refutation not found, incomplete strategy
0.20/0.40	% (20529)------------------------------
0.20/0.40	% (20529)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.40	% (20529)Termination reason: Refutation not found, incomplete strategy
0.20/0.40	
0.20/0.40	
0.20/0.40	% (20529)Memory used [KB]: 5628
0.20/0.40	% (20529)Time elapsed: 0.035 s
0.20/0.40	% (20529)Instructions burned: 12 (million)
0.20/0.40	% (20529)------------------------------
0.20/0.40	% (20529)------------------------------
0.20/0.40	% (20538)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)
0.20/0.40	% (20539)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)
0.20/0.41	% (20540)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)
0.20/0.41	% (20533)Instruction limit reached!
0.20/0.41	% (20533)------------------------------
0.20/0.41	% (20533)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.41	% (20533)Termination reason: Unknown
0.20/0.41	% (20533)Termination phase: Saturation
0.20/0.41	
0.20/0.41	% (20533)Memory used [KB]: 6012
0.20/0.41	% (20533)Time elapsed: 0.047 s
0.20/0.41	% (20533)Instructions burned: 75 (million)
0.20/0.41	% (20540)Instruction limit reached!
0.20/0.41	% (20540)------------------------------
0.20/0.41	% (20540)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.41	% (20533)------------------------------
0.20/0.41	% (20533)------------------------------
0.20/0.41	% (20540)Termination reason: Unknown
0.20/0.41	% (20540)Termination phase: Function definition elimination
0.20/0.41	
0.20/0.41	% (20540)Memory used [KB]: 1151
0.20/0.41	% (20540)Time elapsed: 0.006 s
0.20/0.41	% (20540)Instructions burned: 9 (million)
0.20/0.41	% (20540)------------------------------
0.20/0.41	% (20540)------------------------------
0.20/0.41	% (20541)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)
0.20/0.42	% (20542)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)
0.20/0.43	% (20543)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi)
0.20/0.43	% (20544)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi)
0.20/0.43	% (20528)Instruction limit reached!
0.20/0.43	% (20528)------------------------------
0.20/0.43	% (20528)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.43	% (20528)Termination reason: Unknown
0.20/0.43	% (20528)Termination phase: Saturation
0.20/0.43	
0.20/0.43	% (20528)Memory used [KB]: 6012
0.20/0.43	% (20528)Time elapsed: 0.062 s
0.20/0.43	% (20528)Instructions burned: 97 (million)
0.20/0.43	% (20528)------------------------------
0.20/0.43	% (20528)------------------------------
0.20/0.44	% (20544)Instruction limit reached!
0.20/0.44	% (20544)------------------------------
0.20/0.44	% (20544)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.44	% (20544)Termination reason: Unknown
0.20/0.44	% (20544)Termination phase: Saturation
0.20/0.44	
0.20/0.44	% (20544)Memory used [KB]: 5628
0.20/0.44	% (20544)Time elapsed: 0.009 s
0.20/0.44	% (20544)Instructions burned: 14 (million)
0.20/0.44	% (20544)------------------------------
0.20/0.44	% (20544)------------------------------
0.20/0.44	% (20545)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)
0.20/0.44	% (20545)Instruction limit reached!
0.20/0.44	% (20545)------------------------------
0.20/0.44	% (20545)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.44	% (20545)Termination reason: Unknown
0.20/0.44	% (20545)Termination phase: shuffling
0.20/0.44	
0.20/0.44	% (20545)Memory used [KB]: 1023
0.20/0.44	% (20545)Time elapsed: 0.003 s
0.20/0.44	% (20545)Instructions burned: 2 (million)
0.20/0.44	% (20545)------------------------------
0.20/0.44	% (20545)------------------------------
0.20/0.45	% (20539)Instruction limit reached!
0.20/0.45	% (20539)------------------------------
0.20/0.45	% (20539)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.45	% (20539)Termination reason: Unknown
0.20/0.45	% (20539)Termination phase: Saturation
0.20/0.45	
0.20/0.45	% (20539)Memory used [KB]: 5756
0.20/0.45	% (20539)Time elapsed: 0.046 s
0.20/0.45	% (20539)Instructions burned: 72 (million)
0.20/0.45	% (20539)------------------------------
0.20/0.45	% (20539)------------------------------
0.20/0.45	% (20546)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)
0.20/0.46	% (20543)Instruction limit reached!
0.20/0.46	% (20543)------------------------------
0.20/0.46	% (20543)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.46	% (20543)Termination reason: Unknown
0.20/0.46	% (20543)Termination phase: Saturation
0.20/0.46	
0.20/0.46	% (20543)Memory used [KB]: 6012
0.20/0.46	% (20543)Time elapsed: 0.030 s
0.20/0.46	% (20543)Instructions burned: 63 (million)
0.20/0.46	% (20543)------------------------------
0.20/0.46	% (20543)------------------------------
0.20/0.46	% (20547)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)
0.20/0.46	% (20548)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)
0.20/0.46	% (20547)Instruction limit reached!
0.20/0.46	% (20547)------------------------------
0.20/0.46	% (20547)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.46	% (20547)Termination reason: Unknown
0.20/0.46	% (20547)Termination phase: Saturation
0.20/0.46	
0.20/0.46	% (20547)Memory used [KB]: 5628
0.20/0.46	% (20547)Time elapsed: 0.006 s
0.20/0.46	% (20547)Instructions burned: 12 (million)
0.20/0.46	% (20547)------------------------------
0.20/0.46	% (20547)------------------------------
0.20/0.46	% (20548)Refutation not found, incomplete strategy
0.20/0.46	% (20548)------------------------------
0.20/0.46	% (20548)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.46	% (20548)Termination reason: Refutation not found, incomplete strategy
0.20/0.46	
0.20/0.46	
0.20/0.46	% (20548)Memory used [KB]: 5628
0.20/0.46	% (20548)Time elapsed: 0.005 s
0.20/0.46	% (20548)Instructions burned: 9 (million)
0.20/0.46	% (20548)------------------------------
0.20/0.46	% (20548)------------------------------
0.20/0.46	% (20549)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 (1799ds/26Mi)
0.20/0.47	% (20550)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)
0.20/0.47	% (20551)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)
0.20/0.47	% (20549)Instruction limit reached!
0.20/0.47	% (20549)------------------------------
0.20/0.47	% (20549)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.47	% (20549)Termination reason: Unknown
0.20/0.47	% (20549)Termination phase: Saturation
0.20/0.47	
0.20/0.47	% (20549)Memory used [KB]: 5756
0.20/0.47	% (20549)Time elapsed: 0.009 s
0.20/0.47	% (20549)Instructions burned: 26 (million)
0.20/0.47	% (20549)------------------------------
0.20/0.47	% (20549)------------------------------
0.20/0.48	% (20542)Instruction limit reached!
0.20/0.48	% (20542)------------------------------
0.20/0.48	% (20542)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.48	% (20542)Termination reason: Unknown
0.20/0.48	% (20542)Termination phase: Saturation
0.20/0.48	
0.20/0.48	% (20542)Memory used [KB]: 6268
0.20/0.48	% (20542)Time elapsed: 0.061 s
0.20/0.48	% (20542)Instructions burned: 129 (million)
0.20/0.48	% (20542)------------------------------
0.20/0.48	% (20542)------------------------------
0.20/0.48	% (20551)Refutation not found, incomplete strategy
0.20/0.48	% (20551)------------------------------
0.20/0.48	% (20551)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.48	% (20551)Termination reason: Refutation not found, incomplete strategy
0.20/0.48	
0.20/0.48	
0.20/0.48	% (20551)Memory used [KB]: 5756
0.20/0.48	% (20551)Time elapsed: 0.008 s
0.20/0.48	% (20551)Instructions burned: 22 (million)
0.20/0.48	% (20551)------------------------------
0.20/0.48	% (20551)------------------------------
0.20/0.48	% (20552)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)
0.20/0.48	% (20552)Instruction limit reached!
0.20/0.48	% (20552)------------------------------
0.20/0.48	% (20552)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.48	% (20552)Termination reason: Unknown
0.20/0.48	% (20552)Termination phase: shuffling
0.20/0.48	
0.20/0.48	% (20552)Memory used [KB]: 1023
0.20/0.48	% (20552)Time elapsed: 0.002 s
0.20/0.48	% (20552)Instructions burned: 4 (million)
0.20/0.48	% (20552)------------------------------
0.20/0.48	% (20552)------------------------------
0.20/0.49	% (20546)First to succeed.
0.20/0.49	% (20554)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)
0.20/0.49	% (20550)Instruction limit reached!
0.20/0.49	% (20550)------------------------------
0.20/0.49	% (20550)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.49	% (20550)Termination reason: Unknown
0.20/0.49	% (20550)Termination phase: Saturation
0.20/0.49	
0.20/0.49	% (20550)Memory used [KB]: 1535
0.20/0.49	% (20550)Time elapsed: 0.019 s
0.20/0.49	% (20550)Instructions burned: 58 (million)
0.20/0.49	% (20550)------------------------------
0.20/0.49	% (20550)------------------------------
0.20/0.49	% (20553)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)
0.20/0.49	% (20555)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)
0.20/0.49	% (20546)Refutation found. Thanks to Tanya!
0.20/0.49	% SZS status Theorem for Vampire---4
0.20/0.49	% SZS output start Proof for Vampire---4
0.20/0.49	thf(type_def_5, type, mu: $tType).
0.20/0.49	thf(func_def_0, type, mu: $tType).
0.20/0.49	thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
0.20/0.49	thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
0.20/0.49	thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
0.20/0.49	thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
0.20/0.49	thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
0.20/0.49	thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
0.20/0.49	thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
0.20/0.49	thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
0.20/0.49	thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
0.20/0.49	thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
0.20/0.49	thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
0.20/0.49	thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
0.20/0.49	thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
0.20/0.49	thf(func_def_15, type, mtrue: $i > $o).
0.20/0.49	thf(func_def_16, type, mfalse: $i > $o).
0.20/0.49	thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
0.20/0.49	thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
0.20/0.49	thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
0.20/0.49	thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
0.20/0.49	thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
0.20/0.49	thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
0.20/0.49	thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
0.20/0.49	thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
0.20/0.49	thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
0.20/0.49	thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
0.20/0.49	thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
0.20/0.49	thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
0.20/0.49	thf(func_def_29, type, mvalid: ($i > $o) > $o).
0.20/0.49	thf(func_def_30, type, minvalid: ($i > $o) > $o).
0.20/0.49	thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
0.20/0.49	thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
0.20/0.49	thf(func_def_33, type, i: $i > $i > $o).
0.20/0.49	thf(func_def_34, type, j: $i > $i > $o).
0.20/0.49	thf(func_def_35, type, k: $i > $i > $o).
0.20/0.49	thf(func_def_36, type, l: $i > $i > $o).
0.20/0.49	thf(func_def_37, type, confluence: ($i > $i > $o) > ($i > $i > $o) > ($i > $i > $o) > ($i > $i > $o) > $o).
0.20/0.49	thf(func_def_56, type, ph1: !>[X0: $tType]:(X0)).
0.20/0.49	thf(func_def_58, type, sK3: $i > $o).
0.20/0.49	thf(func_def_65, type, sK10: ($i > $o) > $i).
0.20/0.49	thf(func_def_66, type, sK11: $i > ($i > $o) > $i).
0.20/0.49	thf(func_def_67, type, sK12: ($i > $o) > $i).
0.20/0.49	thf(func_def_68, type, sK13: ($i > $o) > $i > $i).
0.20/0.49	thf(f516,plain,(
0.20/0.49	  $false),
0.20/0.49	  inference(avatar_sat_refutation,[],[f161,f251,f487,f492,f511,f515])).
0.20/0.49	thf(f515,plain,(
0.20/0.49	  ~spl0_12),
0.20/0.49	  inference(avatar_contradiction_clause,[],[f514])).
0.20/0.49	thf(f514,plain,(
0.20/0.49	  $false | ~spl0_12),
0.20/0.49	  inference(trivial_inequality_removal,[],[f513])).
0.20/0.49	thf(f513,plain,(
0.20/0.49	  ($true = $false) | ~spl0_12),
0.20/0.49	  inference(beta_eta_normalization,[],[f512])).
0.20/0.49	thf(f512,plain,(
0.20/0.49	  (((^[Y0 : $i]: ($true)) @ sK14) = $false) | ~spl0_12),
0.20/0.49	  inference(sigma_clausification,[],[f498])).
0.20/0.49	thf(f498,plain,(
0.20/0.49	  ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false) | ~spl0_12),
0.20/0.49	  inference(avatar_component_clause,[],[f497])).
0.20/0.49	thf(f497,plain,(
0.20/0.49	  spl0_12 <=> ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false)),
0.20/0.49	  introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
0.20/0.49	thf(f511,plain,(
0.20/0.49	  spl0_12 | ~spl0_4 | ~spl0_10),
0.20/0.49	  inference(avatar_split_clause,[],[f510,f485,f159,f497])).
0.20/0.49	thf(f159,plain,(
0.20/0.49	  spl0_4 <=> ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((i @ Y0 @ Y2) & (k @ Y0 @ Y1)) => (?? @ $i @ (^[Y3 : $i]: ((l @ Y1 @ Y3) & (j @ Y2 @ Y3))))))))))) = $false)),
0.20/0.49	  introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
0.20/0.49	thf(f485,plain,(
0.20/0.49	  spl0_10 <=> ((j @ sK9 @ (sK10 @ (j @ sK9))) = $true)),
0.20/0.49	  introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
0.20/0.49	thf(f510,plain,(
0.20/0.49	  ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false) | (~spl0_4 | ~spl0_10)),
0.20/0.49	  inference(trivial_inequality_removal,[],[f509])).
0.20/0.49	thf(f509,plain,(
0.20/0.49	  ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false) | ($true = $false) | (~spl0_4 | ~spl0_10)),
0.20/0.49	  inference(boolean_simplification,[],[f508])).
0.20/0.49	thf(f508,plain,(
0.20/0.49	  ((~ $false) = $false) | ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false) | (~spl0_4 | ~spl0_10)),
0.20/0.49	  inference(forward_demodulation,[],[f505,f507])).
0.20/0.49	thf(f507,plain,(
0.20/0.49	  ((l @ sK8 @ (sK10 @ (j @ sK9))) = $false) | (~spl0_4 | ~spl0_10)),
0.20/0.49	  inference(boolean_simplification,[],[f500])).
0.20/0.49	thf(f500,plain,(
0.20/0.49	  (((l @ sK8 @ (sK10 @ (j @ sK9))) & $true) = $false) | (~spl0_4 | ~spl0_10)),
0.20/0.49	  inference(superposition,[],[f288,f486])).
0.20/0.49	thf(f486,plain,(
0.20/0.49	  ((j @ sK9 @ (sK10 @ (j @ sK9))) = $true) | ~spl0_10),
0.20/0.49	  inference(avatar_component_clause,[],[f485])).
0.20/0.49	thf(f288,plain,(
0.20/0.49	  ( ! [X1 : $i] : ((((l @ sK8 @ X1) & (j @ sK9 @ X1)) = $false)) ) | ~spl0_4),
0.20/0.49	  inference(beta_eta_normalization,[],[f287])).
0.20/0.49	thf(f287,plain,(
0.20/0.49	  ( ! [X1 : $i] : ((((^[Y0 : $i]: ((l @ sK8 @ Y0) & (j @ sK9 @ Y0))) @ X1) = $false)) ) | ~spl0_4),
0.20/0.49	  inference(pi_clausification,[],[f274])).
0.20/0.49	thf(f274,plain,(
0.20/0.49	  ((?? @ $i @ (^[Y0 : $i]: ((l @ sK8 @ Y0) & (j @ sK9 @ Y0)))) = $false) | ~spl0_4),
0.20/0.49	  inference(binary_proxy_clausification,[],[f273])).
0.20/0.49	thf(f273,plain,(
0.20/0.49	  ((((i @ sK7 @ sK9) & (k @ sK7 @ sK8)) => (?? @ $i @ (^[Y0 : $i]: ((l @ sK8 @ Y0) & (j @ sK9 @ Y0))))) = $false) | ~spl0_4),
0.20/0.49	  inference(beta_eta_normalization,[],[f272])).
0.20/0.49	thf(f272,plain,(
0.20/0.49	  (((^[Y0 : $i]: (((i @ sK7 @ Y0) & (k @ sK7 @ sK8)) => (?? @ $i @ (^[Y1 : $i]: ((l @ sK8 @ Y1) & (j @ Y0 @ Y1)))))) @ sK9) = $false) | ~spl0_4),
0.20/0.49	  inference(sigma_clausification,[],[f270])).
0.20/0.49	thf(f270,plain,(
0.20/0.49	  ((!! @ $i @ (^[Y0 : $i]: (((i @ sK7 @ Y0) & (k @ sK7 @ sK8)) => (?? @ $i @ (^[Y1 : $i]: ((l @ sK8 @ Y1) & (j @ Y0 @ Y1))))))) = $false) | ~spl0_4),
0.20/0.49	  inference(beta_eta_normalization,[],[f269])).
0.20/0.49	thf(f269,plain,(
0.20/0.49	  (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((i @ sK7 @ Y1) & (k @ sK7 @ Y0)) => (?? @ $i @ (^[Y2 : $i]: ((l @ Y0 @ Y2) & (j @ Y1 @ Y2)))))))) @ sK8) = $false) | ~spl0_4),
0.20/0.49	  inference(sigma_clausification,[],[f266])).
0.20/0.49	thf(f266,plain,(
0.20/0.49	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((i @ sK7 @ Y1) & (k @ sK7 @ Y0)) => (?? @ $i @ (^[Y2 : $i]: ((l @ Y0 @ Y2) & (j @ Y1 @ Y2))))))))) = $false) | ~spl0_4),
0.20/0.49	  inference(beta_eta_normalization,[],[f265])).
0.20/0.49	thf(f265,plain,(
0.20/0.49	  (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((i @ Y0 @ Y2) & (k @ Y0 @ Y1)) => (?? @ $i @ (^[Y3 : $i]: ((l @ Y1 @ Y3) & (j @ Y2 @ Y3)))))))))) @ sK7) = $false) | ~spl0_4),
0.20/0.49	  inference(sigma_clausification,[],[f160])).
0.20/0.49	thf(f160,plain,(
0.20/0.49	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((i @ Y0 @ Y2) & (k @ Y0 @ Y1)) => (?? @ $i @ (^[Y3 : $i]: ((l @ Y1 @ Y3) & (j @ Y2 @ Y3))))))))))) = $false) | ~spl0_4),
0.20/0.49	  inference(avatar_component_clause,[],[f159])).
0.20/0.49	thf(f505,plain,(
0.20/0.49	  ((~ (l @ sK8 @ (sK10 @ (j @ sK9)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false) | (~spl0_4 | ~spl0_10)),
0.20/0.49	  inference(boolean_simplification,[],[f504])).
0.20/0.49	thf(f504,plain,(
0.20/0.49	  ((!! @ $i @ (^[Y0 : $i]: ((~ (j @ sK9 @ Y0)) | (j @ sK9 @ Y0)))) = $false) | ((~ (l @ sK8 @ (sK10 @ (j @ sK9)))) = $false) | (~spl0_4 | ~spl0_10)),
0.20/0.49	  inference(boolean_simplification,[],[f503])).
0.20/0.49	thf(f503,plain,(
0.20/0.49	  (((~ (l @ sK8 @ (sK10 @ (j @ sK9)))) | $false) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (j @ sK9 @ Y0)) | (j @ sK9 @ Y0)))) = $false) | (~spl0_4 | ~spl0_10)),
0.20/0.49	  inference(boolean_simplification,[],[f502])).
0.20/0.49	thf(f502,plain,(
0.20/0.49	  (((~ (l @ sK8 @ (sK10 @ (j @ sK9)))) | (~ $true)) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (j @ sK9 @ Y0)) | (j @ sK9 @ Y0)))) = $false) | (~spl0_4 | ~spl0_10)),
0.20/0.49	  inference(superposition,[],[f337,f486])).
0.20/0.49	thf(f337,plain,(
0.20/0.49	  ( ! [X0 : $i > $o] : ((((~ (l @ sK8 @ (sK10 @ X0))) | (~ (X0 @ (sK10 @ X0)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (j @ sK9 @ Y0)) | (X0 @ Y0)))) = $false)) ) | ~spl0_4),
0.20/0.49	  inference(not_proxy_clausification,[],[f326])).
0.20/0.49	thf(f326,plain,(
0.20/0.49	  ( ! [X0 : $i > $o] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (j @ sK9 @ Y0)) | (X0 @ Y0))))) = $true) | (((~ (l @ sK8 @ (sK10 @ X0))) | (~ (X0 @ (sK10 @ X0)))) = $false)) ) | ~spl0_4),
0.20/0.49	  inference(beta_eta_normalization,[],[f318])).
0.20/0.49	thf(f318,plain,(
0.20/0.49	  ( ! [X0 : $i > $o] : ((((^[Y0 : $i]: ((~ (l @ sK8 @ Y0)) | (~ (X0 @ Y0)))) @ (sK10 @ X0)) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (j @ sK9 @ Y0)) | (X0 @ Y0))))) = $true)) ) | ~spl0_4),
0.20/0.49	  inference(sigma_clausification,[],[f312])).
0.20/0.49	thf(f312,plain,(
0.20/0.49	  ( ! [X0 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((~ (l @ sK8 @ Y0)) | (~ (X0 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (j @ sK9 @ Y0)) | (X0 @ Y0))))) = $true)) ) | ~spl0_4),
0.20/0.49	  inference(not_proxy_clausification,[],[f307])).
0.20/0.49	thf(f307,plain,(
0.20/0.49	  ( ! [X0 : $i > $o] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (l @ sK8 @ Y0)) | (~ (X0 @ Y0)))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (j @ sK9 @ Y0)) | (X0 @ Y0))))) = $true)) ) | ~spl0_4),
0.20/0.49	  inference(boolean_simplification,[],[f306])).
0.20/0.49	thf(f306,plain,(
0.20/0.49	  ( ! [X0 : $i > $o] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (l @ sK8 @ Y0)) | (~ (X0 @ Y0)))))) = $true) | (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (j @ sK9 @ Y0)) | (X0 @ Y0)))))) = $true)) ) | ~spl0_4),
0.20/0.49	  inference(boolean_simplification,[],[f305])).
0.20/0.49	thf(f305,plain,(
0.20/0.49	  ( ! [X0 : $i > $o] : ((((~ $true) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (j @ sK9 @ Y0)) | (X0 @ Y0)))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (l @ sK8 @ Y0)) | (~ (X0 @ Y0)))))) = $true)) ) | ~spl0_4),
0.20/0.49	  inference(superposition,[],[f303,f283])).
0.20/0.49	thf(f283,plain,(
0.20/0.49	  ($true = (i @ sK7 @ sK9)) | ~spl0_4),
0.20/0.49	  inference(boolean_simplification,[],[f282])).
0.20/0.49	thf(f282,plain,(
0.20/0.49	  (((i @ sK7 @ sK9) & $true) = $true) | ~spl0_4),
0.20/0.49	  inference(backward_demodulation,[],[f275,f280])).
0.20/0.49	thf(f280,plain,(
0.20/0.49	  ((k @ sK7 @ sK8) = $true) | ~spl0_4),
0.20/0.49	  inference(binary_proxy_clausification,[],[f275])).
0.20/0.49	thf(f275,plain,(
0.20/0.49	  ($true = ((i @ sK7 @ sK9) & (k @ sK7 @ sK8))) | ~spl0_4),
0.20/0.49	  inference(binary_proxy_clausification,[],[f273])).
0.20/0.49	thf(f303,plain,(
0.20/0.49	  ( ! [X0 : $i > $o,X1 : $i] : (($true = ((~ (i @ sK7 @ X1)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (j @ X1 @ Y0)) | (X0 @ Y0))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (l @ sK8 @ Y0)) | (~ (X0 @ Y0)))))) = $true)) ) | ~spl0_4),
0.20/0.49	  inference(boolean_simplification,[],[f302])).
0.20/0.49	thf(f302,plain,(
0.20/0.49	  ( ! [X0 : $i > $o,X1 : $i] : (($true = ((~ (i @ sK7 @ X1)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (j @ X1 @ Y0)) | (X0 @ Y0))))))) | ($true = ($false | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (l @ sK8 @ Y0)) | (~ (X0 @ Y0))))))))) ) | ~spl0_4),
0.20/0.49	  inference(boolean_simplification,[],[f301])).
0.20/0.49	thf(f301,plain,(
0.20/0.49	  ( ! [X0 : $i > $o,X1 : $i] : (($true = ((~ (i @ sK7 @ X1)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (j @ X1 @ Y0)) | (X0 @ Y0))))))) | (((~ $true) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (l @ sK8 @ Y0)) | (~ (X0 @ Y0))))))) = $true)) ) | ~spl0_4),
0.20/0.49	  inference(superposition,[],[f298,f280])).
0.20/0.49	thf(f298,plain,(
0.20/0.49	  ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : ((((~ (k @ X1 @ X3)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (l @ X3 @ Y0)) | (~ (X2 @ Y0))))))) = $true) | (((~ (i @ X1 @ X4)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (j @ X4 @ Y0)) | (X2 @ Y0)))))) = $true)) ) | ~spl0_4),
0.20/0.49	  inference(beta_eta_normalization,[],[f296])).
0.20/0.49	thf(f296,plain,(
0.20/0.49	  ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : ((((~ (k @ X1 @ X3)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (l @ X3 @ Y0)) | (~ (X2 @ Y0))))))) = $true) | (((^[Y0 : $i]: ((~ (i @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (j @ Y0 @ Y1)) | (X2 @ Y1))))))) @ X4) = $true)) ) | ~spl0_4),
0.20/0.49	  inference(pi_clausification,[],[f294])).
0.20/0.49	thf(f294,plain,(
0.20/0.49	  ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (i @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (j @ Y0 @ Y1)) | (X2 @ Y1)))))))) = $true) | (((~ (k @ X1 @ X3)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (l @ X3 @ Y0)) | (~ (X2 @ Y0))))))) = $true)) ) | ~spl0_4),
0.20/0.49	  inference(beta_eta_normalization,[],[f292])).
0.20/0.49	thf(f292,plain,(
0.20/0.49	  ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (i @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (j @ Y0 @ Y1)) | (X2 @ Y1)))))))) = $true) | (((^[Y0 : $i]: ((~ (k @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (l @ Y0 @ Y1)) | (~ (X2 @ Y1)))))))) @ X3) = $true)) ) | ~spl0_4),
0.20/0.49	  inference(pi_clausification,[],[f271])).
0.20/0.49	thf(f271,plain,(
0.20/0.49	  ( ! [X2 : $i > $o,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (k @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (l @ Y0 @ Y1)) | (~ (X2 @ Y1)))))))))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (i @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (j @ Y0 @ Y1)) | (X2 @ Y1)))))))) = $true)) ) | ~spl0_4),
0.20/0.49	  inference(binary_proxy_clausification,[],[f268])).
0.20/0.49	thf(f268,plain,(
0.20/0.49	  ( ! [X2 : $i > $o,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((~ (i @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (j @ Y0 @ Y1)) | (X2 @ Y1)))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (k @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (l @ Y0 @ Y1)) | (~ (X2 @ Y1)))))))))) = $true)) ) | ~spl0_4),
0.20/0.49	  inference(beta_eta_normalization,[],[f267])).
0.20/0.49	thf(f267,plain,(
0.20/0.49	  ( ! [X2 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (i @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (j @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (k @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (l @ Y1 @ Y2)) | (~ (Y0 @ Y2))))))))))) @ X2))) ) | ~spl0_4),
0.20/0.49	  inference(pi_clausification,[],[f264])).
0.20/0.49	thf(f264,plain,(
0.20/0.49	  ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (i @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (j @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (k @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (l @ Y1 @ Y2)) | (~ (Y0 @ Y2)))))))))))))) ) | ~spl0_4),
0.20/0.49	  inference(beta_eta_normalization,[],[f263])).
0.20/0.49	thf(f263,plain,(
0.20/0.49	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (i @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (j @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (k @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (l @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))))))) @ X1) = $true)) ) | ~spl0_4),
0.20/0.49	  inference(pi_clausification,[],[f262])).
0.20/0.49	thf(f262,plain,(
0.20/0.49	  ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (i @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (j @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (k @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (l @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))) != $false) | ~spl0_4),
0.20/0.49	  inference(forward_demodulation,[],[f145,f160])).
0.20/0.49	thf(f145,plain,(
0.20/0.49	  ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (i @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (j @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (k @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (l @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))) != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((i @ Y0 @ Y2) & (k @ Y0 @ Y1)) => (?? @ $i @ (^[Y3 : $i]: ((l @ Y1 @ Y3) & (j @ Y2 @ Y3))))))))))))),
0.20/0.49	  inference(binary_proxy_clausification,[],[f144])).
0.20/0.49	thf(f144,plain,(
0.20/0.49	  (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((i @ Y0 @ Y2) & (k @ Y0 @ Y1)) => (?? @ $i @ (^[Y3 : $i]: ((l @ Y1 @ Y3) & (j @ Y2 @ Y3))))))))))) = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (i @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (j @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (k @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (l @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))))))))) = $false)),
0.20/0.49	  inference(not_proxy_clausification,[],[f143])).
0.20/0.49	thf(f143,plain,(
0.20/0.49	  ((~ ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((i @ Y0 @ Y2) & (k @ Y0 @ Y1)) => (?? @ $i @ (^[Y3 : $i]: ((l @ Y1 @ Y3) & (j @ Y2 @ Y3))))))))))) = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (i @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (j @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (k @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (l @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))))) = $true)),
0.20/0.49	  inference(boolean_simplification,[],[f142])).
0.20/0.49	thf(f142,plain,(
0.20/0.49	  ((~ ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((i @ Y0 @ Y2) & (k @ Y0 @ Y1)) => (?? @ $i @ (^[Y3 : $i]: ((l @ Y1 @ Y3) & (j @ Y2 @ Y3))))))))))) = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (i @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (j @ Y2 @ Y3)) | (Y1 @ Y3)))))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (k @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (l @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))))) = $true)),
0.20/0.49	  inference(beta_eta_normalization,[],[f141])).
0.20/0.49	thf(f141,plain,(
0.20/0.49	  ((~ (((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y0 @ Y4 @ Y6) & (Y2 @ Y4 @ Y5)) => (?? @ $i @ (^[Y7 : $i]: ((Y3 @ Y5 @ Y7) & (Y1 @ Y6 @ Y7)))))))))))))))))) @ i @ j @ k @ l) = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y6))))))))) @ Y1 @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y2)))))) @ i @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ j @ Y0)) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ k @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y6))))))))) @ Y1 @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y2)))))) @ l @ Y0)))))))) = $true)),
0.20/0.49	  inference(definition_unfolding,[],[f112,f124,f128,f110,f133,f140,f121,f121,f140])).
0.20/0.49	thf(f121,plain,(
0.20/0.49	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
0.20/0.49	  inference(cnf_transformation,[],[f80])).
0.20/0.49	thf(f80,plain,(
0.20/0.49	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
0.20/0.49	  inference(fool_elimination,[],[f79])).
0.20/0.49	thf(f79,plain,(
0.20/0.49	  ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))) = mbox)),
0.20/0.49	  inference(rectify,[],[f16])).
0.20/0.49	thf(f16,axiom,(
0.20/0.49	  ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))) = mbox)),
0.20/0.49	  file('/export/starexec/sandbox/tmp/tmp.4ya5l2fMV8/Vampire---4.8_20420',mbox)).
0.20/0.49	thf(f140,plain,(
0.20/0.49	  (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y2 @ Y4 @ Y5)) | (Y3 @ Y5))))))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
0.20/0.49	  inference(definition_unfolding,[],[f122,f109,f121,f109])).
0.20/0.49	thf(f109,plain,(
0.20/0.49	  (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
0.20/0.49	  inference(cnf_transformation,[],[f98])).
0.20/0.49	thf(f98,plain,(
0.20/0.49	  (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
0.20/0.49	  inference(fool_elimination,[],[f97])).
0.20/0.49	thf(f97,plain,(
0.20/0.49	  ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
0.20/0.49	  inference(rectify,[],[f3])).
0.20/0.49	thf(f3,axiom,(
0.20/0.49	  ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
0.20/0.49	  file('/export/starexec/sandbox/tmp/tmp.4ya5l2fMV8/Vampire---4.8_20420',mnot)).
0.20/0.49	thf(f122,plain,(
0.20/0.49	  (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
0.20/0.49	  inference(cnf_transformation,[],[f88])).
0.20/0.49	thf(f88,plain,(
0.20/0.49	  (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
0.20/0.49	  inference(fool_elimination,[],[f87])).
0.20/0.49	thf(f87,plain,(
0.20/0.49	  ((^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))) = mdia)),
0.20/0.49	  inference(rectify,[],[f17])).
0.20/0.49	thf(f17,axiom,(
0.20/0.49	  ((^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))) = mdia)),
0.20/0.49	  file('/export/starexec/sandbox/tmp/tmp.4ya5l2fMV8/Vampire---4.8_20420',mdia)).
0.20/0.49	thf(f133,plain,(
0.20/0.49	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
0.20/0.49	  inference(definition_unfolding,[],[f123,f114,f109])).
0.20/0.49	thf(f114,plain,(
0.20/0.49	  (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
0.20/0.49	  inference(cnf_transformation,[],[f68])).
0.20/0.49	thf(f68,plain,(
0.20/0.49	  (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
0.20/0.49	  inference(fool_elimination,[],[f67])).
0.20/0.49	thf(f67,plain,(
0.20/0.49	  (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
0.20/0.49	  inference(rectify,[],[f4])).
0.20/0.49	thf(f4,axiom,(
0.20/0.49	  (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))),
0.20/0.49	  file('/export/starexec/sandbox/tmp/tmp.4ya5l2fMV8/Vampire---4.8_20420',mor)).
0.20/0.49	thf(f123,plain,(
0.20/0.49	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
0.20/0.49	  inference(cnf_transformation,[],[f86])).
0.20/0.49	thf(f86,plain,(
0.20/0.49	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
0.20/0.49	  inference(fool_elimination,[],[f85])).
0.20/0.49	thf(f85,plain,(
0.20/0.49	  (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
0.20/0.49	  inference(rectify,[],[f6])).
0.20/0.49	thf(f6,axiom,(
0.20/0.49	  (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
0.20/0.49	  file('/export/starexec/sandbox/tmp/tmp.4ya5l2fMV8/Vampire---4.8_20420',mimplies)).
0.20/0.49	thf(f110,plain,(
0.20/0.49	  (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
0.20/0.49	  inference(cnf_transformation,[],[f72])).
0.20/0.49	thf(f72,plain,(
0.20/0.49	  (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
0.20/0.49	  inference(fool_elimination,[],[f71])).
0.20/0.49	thf(f71,plain,(
0.20/0.49	  (mforall_prop = (^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))))),
0.20/0.49	  inference(rectify,[],[f11])).
0.20/0.49	thf(f11,axiom,(
0.20/0.49	  (mforall_prop = (^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))))),
0.20/0.49	  file('/export/starexec/sandbox/tmp/tmp.4ya5l2fMV8/Vampire---4.8_20420',mforall_prop)).
0.20/0.49	thf(f128,plain,(
0.20/0.49	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
0.20/0.49	  inference(cnf_transformation,[],[f48])).
0.20/0.49	thf(f48,plain,(
0.20/0.49	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
0.20/0.49	  inference(fool_elimination,[],[f47])).
0.20/0.49	thf(f47,plain,(
0.20/0.49	  ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
0.20/0.49	  inference(rectify,[],[f28])).
0.20/0.49	thf(f28,axiom,(
0.20/0.49	  ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
0.20/0.49	  file('/export/starexec/sandbox/tmp/tmp.4ya5l2fMV8/Vampire---4.8_20420',mvalid)).
0.20/0.49	thf(f124,plain,(
0.20/0.49	  (confluence = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y0 @ Y4 @ Y6) & (Y2 @ Y4 @ Y5)) => (?? @ $i @ (^[Y7 : $i]: ((Y3 @ Y5 @ Y7) & (Y1 @ Y6 @ Y7)))))))))))))))))))),
0.20/0.49	  inference(cnf_transformation,[],[f60])).
0.20/0.49	thf(f60,plain,(
0.20/0.49	  (confluence = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y0 @ Y4 @ Y6) & (Y2 @ Y4 @ Y5)) => (?? @ $i @ (^[Y7 : $i]: ((Y3 @ Y5 @ Y7) & (Y1 @ Y6 @ Y7)))))))))))))))))))),
0.20/0.49	  inference(fool_elimination,[],[f59])).
0.20/0.49	thf(f59,plain,(
0.20/0.49	  (confluence = (^[X0 : $i > $i > $o, X1 : $i > $i > $o, X2 : $i > $i > $o, X3 : $i > $i > $o] : (! [X4,X5,X6] : (((X2 @ X6 @ X5) & (X0 @ X6 @ X4)) => ? [X7] : ((X1 @ X4 @ X7) & (X3 @ X5 @ X7))))))),
0.20/0.49	  inference(rectify,[],[f32])).
0.20/0.49	thf(f32,axiom,(
0.20/0.49	  (confluence = (^[X11 : $i > $i > $o, X12 : $i > $i > $o, X13 : $i > $i > $o, X14 : $i > $i > $o] : (! [X16,X17,X15] : (((X13 @ X15 @ X17) & (X11 @ X15 @ X16)) => ? [X18] : ((X12 @ X16 @ X18) & (X14 @ X17 @ X18))))))),
0.20/0.49	  file('/export/starexec/sandbox/tmp/tmp.4ya5l2fMV8/Vampire---4.8_20420',confluence)).
0.20/0.49	thf(f112,plain,(
0.20/0.49	  ($true = (~ ((confluence @ i @ j @ k @ l) = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ i @ (mbox @ j @ Y0)) @ (mbox @ k @ (mdia @ l @ Y0)))))))))),
0.20/0.49	  inference(cnf_transformation,[],[f84])).
0.20/0.49	thf(f84,plain,(
0.20/0.49	  ($true = (~ ((confluence @ i @ j @ k @ l) = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ i @ (mbox @ j @ Y0)) @ (mbox @ k @ (mdia @ l @ Y0)))))))))),
0.20/0.49	  inference(fool_elimination,[],[f83])).
0.20/0.49	thf(f83,plain,(
0.20/0.49	  ~((confluence @ i @ j @ k @ l) <=> (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mdia @ i @ (mbox @ j @ X0)) @ (mbox @ k @ (mdia @ l @ X0)))))))),
0.20/0.49	  inference(rectify,[],[f34])).
0.20/0.49	thf(f34,negated_conjecture,(
0.20/0.49	  ~((confluence @ i @ j @ k @ l) <=> (mvalid @ (mforall_prop @ (^[X5 : $i > $o] : (mimplies @ (mdia @ i @ (mbox @ j @ X5)) @ (mbox @ k @ (mdia @ l @ X5)))))))),
0.20/0.49	  inference(negated_conjecture,[],[f33])).
0.20/0.49	thf(f33,conjecture,(
0.20/0.49	  (confluence @ i @ j @ k @ l) <=> (mvalid @ (mforall_prop @ (^[X5 : $i > $o] : (mimplies @ (mdia @ i @ (mbox @ j @ X5)) @ (mbox @ k @ (mdia @ l @ X5))))))),
0.20/0.49	  file('/export/starexec/sandbox/tmp/tmp.4ya5l2fMV8/Vampire---4.8_20420',conj)).
0.20/0.49	thf(f492,plain,(
0.20/0.49	  spl0_10 | ~spl0_9),
0.20/0.49	  inference(avatar_split_clause,[],[f488,f482,f485])).
0.20/0.49	thf(f482,plain,(
0.20/0.49	  spl0_9 <=> ((~ (j @ sK9 @ (sK10 @ (j @ sK9)))) = $false)),
0.20/0.49	  introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
0.20/0.49	thf(f488,plain,(
0.20/0.49	  ((j @ sK9 @ (sK10 @ (j @ sK9))) = $true) | ~spl0_9),
0.20/0.49	  inference(not_proxy_clausification,[],[f483])).
0.20/0.49	thf(f483,plain,(
0.20/0.49	  ((~ (j @ sK9 @ (sK10 @ (j @ sK9)))) = $false) | ~spl0_9),
0.20/0.49	  inference(avatar_component_clause,[],[f482])).
0.20/0.49	thf(f487,plain,(
0.20/0.49	  spl0_9 | spl0_10 | ~spl0_4),
0.20/0.49	  inference(avatar_split_clause,[],[f479,f159,f485,f482])).
0.20/0.49	thf(f479,plain,(
0.20/0.49	  ((j @ sK9 @ (sK10 @ (j @ sK9))) = $true) | ((~ (j @ sK9 @ (sK10 @ (j @ sK9)))) = $false) | ~spl0_4),
0.20/0.49	  inference(trivial_inequality_removal,[],[f478])).
0.20/0.49	thf(f478,plain,(
0.20/0.49	  ((~ (j @ sK9 @ (sK10 @ (j @ sK9)))) = $false) | ((j @ sK9 @ (sK10 @ (j @ sK9))) = $true) | ($true = $false) | ~spl0_4),
0.20/0.49	  inference(boolean_simplification,[],[f477])).
0.20/0.49	thf(f477,plain,(
0.20/0.49	  ((~ (j @ sK9 @ (sK10 @ (j @ sK9)))) = $false) | ((~ $false) = $false) | ((j @ sK9 @ (sK10 @ (j @ sK9))) = $true) | ~spl0_4),
0.20/0.49	  inference(boolean_simplification,[],[f465])).
0.20/0.49	thf(f465,plain,(
0.20/0.49	  ((~ (j @ sK9 @ (sK10 @ (j @ sK9)))) = $false) | ($false = ((~ $false) | $false)) | ((j @ sK9 @ (sK10 @ (j @ sK9))) = $true) | ~spl0_4),
0.20/0.49	  inference(superposition,[],[f372,f404])).
0.20/0.49	thf(f404,plain,(
0.20/0.49	  ( ! [X0 : $i > $o] : (((X0 @ (sK12 @ X0)) = $false) | ((X0 @ (sK10 @ X0)) = $true)) ) | ~spl0_4),
0.20/0.49	  inference(not_proxy_clausification,[],[f391])).
0.20/0.49	thf(f391,plain,(
0.20/0.49	  ( ! [X0 : $i > $o] : (((~ (X0 @ (sK10 @ X0))) = $false) | ((X0 @ (sK12 @ X0)) = $false)) ) | ~spl0_4),
0.20/0.49	  inference(binary_proxy_clausification,[],[f372])).
0.20/0.49	thf(f372,plain,(
0.20/0.49	  ( ! [X0 : $i > $o] : ((((~ (j @ sK9 @ (sK12 @ X0))) | (X0 @ (sK12 @ X0))) = $false) | ((~ (X0 @ (sK10 @ X0))) = $false)) ) | ~spl0_4),
0.20/0.49	  inference(beta_eta_normalization,[],[f367])).
0.20/0.49	thf(f367,plain,(
0.20/0.49	  ( ! [X0 : $i > $o] : (((~ (X0 @ (sK10 @ X0))) = $false) | (((^[Y0 : $i]: ((~ (j @ sK9 @ Y0)) | (X0 @ Y0))) @ (sK12 @ X0)) = $false)) ) | ~spl0_4),
0.20/0.49	  inference(sigma_clausification,[],[f352])).
0.20/0.49	thf(f352,plain,(
0.20/0.49	  ( ! [X0 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((~ (j @ sK9 @ Y0)) | (X0 @ Y0)))) = $false) | ((~ (X0 @ (sK10 @ X0))) = $false)) ) | ~spl0_4),
0.20/0.49	  inference(binary_proxy_clausification,[],[f337])).
0.20/0.49	thf(f251,plain,(
0.20/0.49	  ~spl0_3),
0.20/0.49	  inference(avatar_contradiction_clause,[],[f250])).
0.20/0.49	thf(f250,plain,(
0.20/0.49	  $false | ~spl0_3),
0.20/0.49	  inference(trivial_inequality_removal,[],[f249])).
0.20/0.49	thf(f249,plain,(
0.20/0.49	  ($true = $false) | ~spl0_3),
0.20/0.49	  inference(boolean_simplification,[],[f248])).
0.20/0.49	thf(f248,plain,(
0.20/0.49	  ((~ $true) = $true) | ~spl0_3),
0.20/0.49	  inference(forward_demodulation,[],[f247,f231])).
0.20/0.49	thf(f231,plain,(
0.20/0.49	  ((l @ sK5 @ sK6) = $true) | ~spl0_3),
0.20/0.49	  inference(binary_proxy_clausification,[],[f225])).
0.20/0.49	thf(f225,plain,(
0.20/0.49	  (((l @ sK5 @ sK6) & (j @ sK4 @ sK6)) = $true) | ~spl0_3),
0.20/0.49	  inference(beta_eta_normalization,[],[f222])).
0.20/0.49	thf(f222,plain,(
0.20/0.49	  (((^[Y0 : $i]: ((l @ sK5 @ Y0) & (j @ sK4 @ Y0))) @ sK6) = $true) | ~spl0_3),
0.20/0.49	  inference(sigma_clausification,[],[f217])).
0.20/0.49	thf(f217,plain,(
0.20/0.49	  ((?? @ $i @ (^[Y0 : $i]: ((l @ sK5 @ Y0) & (j @ sK4 @ Y0)))) = $true) | ~spl0_3),
0.20/0.49	  inference(boolean_simplification,[],[f215])).
0.20/0.49	thf(f215,plain,(
0.20/0.49	  (($true => (?? @ $i @ (^[Y0 : $i]: ((l @ sK5 @ Y0) & (j @ sK4 @ Y0))))) = $true) | ~spl0_3),
0.20/0.49	  inference(superposition,[],[f203,f212])).
0.20/0.49	thf(f212,plain,(
0.20/0.49	  ($true = (k @ sK2 @ sK5)) | ~spl0_3),
0.20/0.49	  inference(not_proxy_clausification,[],[f211])).
0.20/0.49	thf(f211,plain,(
0.20/0.49	  ((~ (k @ sK2 @ sK5)) = $false) | ~spl0_3),
0.20/0.49	  inference(boolean_simplification,[],[f210])).
0.20/0.49	thf(f210,plain,(
0.20/0.49	  ($false = ((~ (k @ sK2 @ sK5)) | $false)) | ~spl0_3),
0.20/0.49	  inference(backward_demodulation,[],[f207,f208])).
0.20/0.49	thf(f208,plain,(
0.20/0.49	  ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (l @ sK5 @ Y0)) | (~ (sK3 @ Y0))))))) | ~spl0_3),
0.20/0.49	  inference(binary_proxy_clausification,[],[f207])).
0.20/0.49	thf(f207,plain,(
0.20/0.49	  (((~ (k @ sK2 @ sK5)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (l @ sK5 @ Y0)) | (~ (sK3 @ Y0))))))) = $false) | ~spl0_3),
0.20/0.49	  inference(beta_eta_normalization,[],[f206])).
0.20/0.49	thf(f206,plain,(
0.20/0.49	  (((^[Y0 : $i]: ((~ (k @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (l @ Y0 @ Y1)) | (~ (sK3 @ Y1)))))))) @ sK5) = $false) | ~spl0_3),
0.20/0.49	  inference(sigma_clausification,[],[f184])).
0.20/0.49	thf(f184,plain,(
0.20/0.49	  ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (k @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (l @ Y0 @ Y1)) | (~ (sK3 @ Y1)))))))))) | ~spl0_3),
0.20/0.49	  inference(binary_proxy_clausification,[],[f183])).
0.20/0.49	thf(f183,plain,(
0.20/0.49	  (((!! @ $i @ (^[Y0 : $i]: ((~ (i @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (j @ Y0 @ Y1)) | (sK3 @ Y1)))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (k @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (l @ Y0 @ Y1)) | (~ (sK3 @ Y1)))))))))) = $false) | ~spl0_3),
0.20/0.49	  inference(beta_eta_normalization,[],[f182])).
0.20/0.49	thf(f182,plain,(
0.20/0.49	  ($false = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (i @ sK2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (j @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (k @ sK2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (l @ Y1 @ Y2)) | (~ (Y0 @ Y2))))))))))) @ sK3)) | ~spl0_3),
0.20/0.49	  inference(sigma_clausification,[],[f181])).
0.20/0.49	thf(f181,plain,(
0.20/0.49	  ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (i @ sK2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (j @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (k @ sK2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (l @ Y1 @ Y2)) | (~ (Y0 @ Y2)))))))))))) = $false) | ~spl0_3),
0.20/0.49	  inference(beta_eta_normalization,[],[f180])).
0.20/0.49	thf(f180,plain,(
0.20/0.49	  (((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (i @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (j @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (k @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (l @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))))))) @ sK2) = $false) | ~spl0_3),
0.20/0.49	  inference(sigma_clausification,[],[f157])).
0.20/0.49	thf(f157,plain,(
0.20/0.49	  ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (i @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (j @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (k @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (l @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))) = $false) | ~spl0_3),
0.20/0.49	  inference(avatar_component_clause,[],[f156])).
0.20/0.49	thf(f156,plain,(
0.20/0.49	  spl0_3 <=> ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (i @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (j @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (k @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (l @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))) = $false)),
0.20/0.49	  introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
0.20/0.49	thf(f203,plain,(
0.20/0.49	  ( ! [X0 : $i] : ((((k @ sK2 @ X0) => (?? @ $i @ (^[Y0 : $i]: ((l @ X0 @ Y0) & (j @ sK4 @ Y0))))) = $true)) ) | ~spl0_3),
0.20/0.49	  inference(boolean_simplification,[],[f202])).
0.20/0.49	thf(f202,plain,(
0.20/0.49	  ( ! [X0 : $i] : (((($true & (k @ sK2 @ X0)) => (?? @ $i @ (^[Y0 : $i]: ((l @ X0 @ Y0) & (j @ sK4 @ Y0))))) = $true)) ) | ~spl0_3),
0.20/0.49	  inference(superposition,[],[f175,f197])).
0.20/0.49	thf(f197,plain,(
0.20/0.49	  ($true = (i @ sK2 @ sK4)) | ~spl0_3),
0.20/0.49	  inference(not_proxy_clausification,[],[f191])).
0.20/0.49	thf(f191,plain,(
0.20/0.49	  ((~ (i @ sK2 @ sK4)) = $false) | ~spl0_3),
0.20/0.49	  inference(binary_proxy_clausification,[],[f189])).
0.20/0.49	thf(f189,plain,(
0.20/0.49	  (((~ (i @ sK2 @ sK4)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (j @ sK4 @ Y0)) | (sK3 @ Y0)))))) = $false) | ~spl0_3),
0.20/0.49	  inference(beta_eta_normalization,[],[f188])).
0.20/0.49	thf(f188,plain,(
0.20/0.49	  (((^[Y0 : $i]: ((~ (i @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (j @ Y0 @ Y1)) | (sK3 @ Y1))))))) @ sK4) = $false) | ~spl0_3),
0.20/0.49	  inference(sigma_clausification,[],[f187])).
0.20/0.49	thf(f187,plain,(
0.20/0.49	  ((!! @ $i @ (^[Y0 : $i]: ((~ (i @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (j @ Y0 @ Y1)) | (sK3 @ Y1)))))))) = $false) | ~spl0_3),
0.20/0.49	  inference(boolean_simplification,[],[f186])).
0.20/0.49	thf(f186,plain,(
0.20/0.49	  (((!! @ $i @ (^[Y0 : $i]: ((~ (i @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (j @ Y0 @ Y1)) | (sK3 @ Y1)))))))) | $false) = $false) | ~spl0_3),
0.20/0.49	  inference(backward_demodulation,[],[f183,f184])).
0.20/0.49	thf(f175,plain,(
0.20/0.49	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((i @ X1 @ X3) & (k @ X1 @ X2)) => (?? @ $i @ (^[Y0 : $i]: ((l @ X2 @ Y0) & (j @ X3 @ Y0))))) = $true)) ) | ~spl0_3),
0.20/0.49	  inference(beta_eta_normalization,[],[f174])).
0.20/0.49	thf(f174,plain,(
0.20/0.49	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((i @ X1 @ Y0) & (k @ X1 @ X2)) => (?? @ $i @ (^[Y1 : $i]: ((l @ X2 @ Y1) & (j @ Y0 @ Y1)))))) @ X3))) ) | ~spl0_3),
0.20/0.49	  inference(pi_clausification,[],[f173])).
0.20/0.49	thf(f173,plain,(
0.20/0.49	  ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((i @ X1 @ Y0) & (k @ X1 @ X2)) => (?? @ $i @ (^[Y1 : $i]: ((l @ X2 @ Y1) & (j @ Y0 @ Y1))))))) = $true)) ) | ~spl0_3),
0.20/0.49	  inference(beta_eta_normalization,[],[f172])).
0.20/0.49	thf(f172,plain,(
0.20/0.49	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((i @ X1 @ Y1) & (k @ X1 @ Y0)) => (?? @ $i @ (^[Y2 : $i]: ((l @ Y0 @ Y2) & (j @ Y1 @ Y2)))))))) @ X2) = $true)) ) | ~spl0_3),
0.20/0.49	  inference(pi_clausification,[],[f171])).
0.20/0.49	thf(f171,plain,(
0.20/0.49	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((i @ X1 @ Y1) & (k @ X1 @ Y0)) => (?? @ $i @ (^[Y2 : $i]: ((l @ Y0 @ Y2) & (j @ Y1 @ Y2))))))))) = $true)) ) | ~spl0_3),
0.20/0.49	  inference(beta_eta_normalization,[],[f170])).
0.20/0.49	thf(f170,plain,(
0.20/0.49	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((i @ Y0 @ Y2) & (k @ Y0 @ Y1)) => (?? @ $i @ (^[Y3 : $i]: ((l @ Y1 @ Y3) & (j @ Y2 @ Y3)))))))))) @ X1))) ) | ~spl0_3),
0.20/0.49	  inference(pi_clausification,[],[f162])).
0.20/0.49	thf(f162,plain,(
0.20/0.49	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((i @ Y0 @ Y2) & (k @ Y0 @ Y1)) => (?? @ $i @ (^[Y3 : $i]: ((l @ Y1 @ Y3) & (j @ Y2 @ Y3))))))))))) != $false) | ~spl0_3),
0.20/0.49	  inference(backward_demodulation,[],[f145,f157])).
0.20/0.49	thf(f247,plain,(
0.20/0.49	  ($true = (~ (l @ sK5 @ sK6))) | ~spl0_3),
0.20/0.49	  inference(boolean_simplification,[],[f246])).
0.20/0.49	thf(f246,plain,(
0.20/0.49	  (((~ (l @ sK5 @ sK6)) | $false) = $true) | ~spl0_3),
0.20/0.49	  inference(boolean_simplification,[],[f243])).
0.20/0.49	thf(f243,plain,(
0.20/0.49	  (((~ (l @ sK5 @ sK6)) | (~ $true)) = $true) | ~spl0_3),
0.20/0.49	  inference(superposition,[],[f229,f237])).
0.20/0.49	thf(f237,plain,(
0.20/0.49	  ($true = (sK3 @ sK6)) | ~spl0_3),
0.20/0.49	  inference(boolean_simplification,[],[f236])).
0.20/0.49	thf(f236,plain,(
0.20/0.49	  ($true = ($false | (sK3 @ sK6))) | ~spl0_3),
0.20/0.49	  inference(boolean_simplification,[],[f235])).
0.20/0.49	thf(f235,plain,(
0.20/0.49	  ($true = ((~ $true) | (sK3 @ sK6))) | ~spl0_3),
0.20/0.49	  inference(superposition,[],[f201,f233])).
0.20/0.49	thf(f233,plain,(
0.20/0.49	  ((j @ sK4 @ sK6) = $true) | ~spl0_3),
0.20/0.49	  inference(boolean_simplification,[],[f232])).
0.20/0.49	thf(f232,plain,(
0.20/0.49	  (($true & (j @ sK4 @ sK6)) = $true) | ~spl0_3),
0.20/0.49	  inference(backward_demodulation,[],[f225,f231])).
0.20/0.49	thf(f201,plain,(
0.20/0.49	  ( ! [X1 : $i] : (($true = ((~ (j @ sK4 @ X1)) | (sK3 @ X1)))) ) | ~spl0_3),
0.20/0.49	  inference(beta_eta_normalization,[],[f200])).
0.20/0.49	thf(f200,plain,(
0.20/0.49	  ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (j @ sK4 @ Y0)) | (sK3 @ Y0))) @ X1) = $true)) ) | ~spl0_3),
0.20/0.49	  inference(pi_clausification,[],[f194])).
0.20/0.49	thf(f194,plain,(
0.20/0.49	  ((!! @ $i @ (^[Y0 : $i]: ((~ (j @ sK4 @ Y0)) | (sK3 @ Y0)))) = $true) | ~spl0_3),
0.20/0.49	  inference(not_proxy_clausification,[],[f193])).
0.20/0.49	thf(f193,plain,(
0.20/0.49	  ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (j @ sK4 @ Y0)) | (sK3 @ Y0))))) = $false) | ~spl0_3),
0.20/0.49	  inference(boolean_simplification,[],[f192])).
0.20/0.49	thf(f192,plain,(
0.20/0.49	  (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (j @ sK4 @ Y0)) | (sK3 @ Y0)))))) = $false) | ~spl0_3),
0.20/0.49	  inference(backward_demodulation,[],[f189,f191])).
0.20/0.49	thf(f229,plain,(
0.20/0.49	  ( ! [X1 : $i] : (($true = ((~ (l @ sK5 @ X1)) | (~ (sK3 @ X1))))) ) | ~spl0_3),
0.20/0.49	  inference(beta_eta_normalization,[],[f228])).
0.20/0.49	thf(f228,plain,(
0.20/0.49	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (l @ sK5 @ Y0)) | (~ (sK3 @ Y0)))) @ X1))) ) | ~spl0_3),
0.20/0.49	  inference(pi_clausification,[],[f219])).
0.20/0.49	thf(f219,plain,(
0.20/0.49	  ((!! @ $i @ (^[Y0 : $i]: ((~ (l @ sK5 @ Y0)) | (~ (sK3 @ Y0))))) = $true) | ~spl0_3),
0.20/0.49	  inference(not_proxy_clausification,[],[f208])).
0.20/0.49	thf(f161,plain,(
0.20/0.49	  spl0_3 | spl0_4),
0.20/0.49	  inference(avatar_split_clause,[],[f147,f159,f156])).
0.20/0.49	thf(f147,plain,(
0.20/0.49	  ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (i @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (j @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (k @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (l @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((i @ Y0 @ Y2) & (k @ Y0 @ Y1)) => (?? @ $i @ (^[Y3 : $i]: ((l @ Y1 @ Y3) & (j @ Y2 @ Y3))))))))))) = $false)),
0.20/0.49	  inference(binary_proxy_clausification,[],[f145])).
0.20/0.49	% SZS output end Proof for Vampire---4
0.20/0.49	% (20546)------------------------------
0.20/0.49	% (20546)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.49	% (20546)Termination reason: Refutation
0.20/0.49	
0.20/0.49	% (20546)Memory used [KB]: 6140
0.20/0.49	% (20546)Time elapsed: 0.041 s
0.20/0.49	% (20546)Instructions burned: 89 (million)
0.20/0.49	% (20546)------------------------------
0.20/0.49	% (20546)------------------------------
0.20/0.49	% (20527)Success in time 0.128 s
0.20/0.49	% Vampire---4.8 exiting
0.20/0.49	EOF