0.07/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : run_vampire %s %d THM
0.12/0.34	% Computer : n013.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 1440
0.12/0.34	% WCLimit    : 180
0.12/0.34	% DateTime   : Thu Jul  4 10:18:09 EDT 2024
0.12/0.35	% CPUTime    : 
0.12/0.36	This is a THF_ problem
0.12/0.37	Running higher-order theorem proving
0.12/0.38	Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.c8kjTVOscG/E---3.1_13119.p -m 16384 -t 180
0.12/0.40	% (13230)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/2Mi)
0.12/0.40	% (13228)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 E---3.1_13119 for (1799ds/4Mi)
0.12/0.40	% (13229)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/27Mi)
0.12/0.40	% (13227)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/183Mi)
0.12/0.40	% (13231)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/2Mi)
0.12/0.40	% (13233)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/18Mi)
0.12/0.40	% (13232)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/275Mi)
0.12/0.40	% (13230)Instruction limit reached!
0.12/0.40	% (13230)------------------------------
0.12/0.40	% (13230)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.12/0.40	% (13230)Termination reason: Unknown
0.12/0.40	% (13231)Instruction limit reached!
0.12/0.40	% (13231)------------------------------
0.12/0.40	% (13231)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.12/0.40	% (13230)Termination phase: shuffling
0.12/0.40	
0.12/0.40	% (13230)Memory used [KB]: 1023
0.12/0.40	% (13230)Time elapsed: 0.004 s
0.12/0.40	% (13230)Instructions burned: 3 (million)
0.12/0.40	% (13230)------------------------------
0.12/0.40	% (13230)------------------------------
0.12/0.40	% (13231)Termination reason: Unknown
0.12/0.40	% (13231)Termination phase: shuffling
0.12/0.40	
0.12/0.40	% (13231)Memory used [KB]: 1023
0.12/0.40	% (13231)Time elapsed: 0.004 s
0.12/0.40	% (13231)Instructions burned: 3 (million)
0.12/0.40	% (13231)------------------------------
0.12/0.40	% (13231)------------------------------
0.12/0.40	% (13228)Instruction limit reached!
0.12/0.40	% (13228)------------------------------
0.12/0.40	% (13228)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.12/0.40	% (13228)Termination reason: Unknown
0.12/0.40	% (13228)Termination phase: Property scanning
0.12/0.40	
0.12/0.40	% (13228)Memory used [KB]: 1023
0.12/0.40	% (13228)Time elapsed: 0.005 s
0.12/0.40	% (13228)Instructions burned: 4 (million)
0.12/0.40	% (13228)------------------------------
0.12/0.40	% (13228)------------------------------
0.12/0.41	% (13233)Instruction limit reached!
0.12/0.41	% (13233)------------------------------
0.12/0.41	% (13233)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.12/0.41	% (13233)Termination reason: Unknown
0.12/0.41	% (13233)Termination phase: Saturation
0.12/0.41	
0.12/0.41	% (13233)Memory used [KB]: 5628
0.12/0.41	% (13233)Time elapsed: 0.012 s
0.12/0.41	% (13233)Instructions burned: 18 (million)
0.12/0.41	% (13233)------------------------------
0.12/0.41	% (13233)------------------------------
0.23/0.42	% (13229)Instruction limit reached!
0.23/0.42	% (13229)------------------------------
0.23/0.42	% (13229)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.42	% (13229)Termination reason: Unknown
0.23/0.42	% (13229)Termination phase: Saturation
0.23/0.42	
0.23/0.42	% (13229)Memory used [KB]: 5756
0.23/0.42	% (13229)Time elapsed: 0.019 s
0.23/0.42	% (13229)Instructions burned: 28 (million)
0.23/0.42	% (13229)------------------------------
0.23/0.42	% (13229)------------------------------
0.23/0.42	% (13234)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/3Mi)
0.23/0.42	% (13235)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/37Mi)
0.23/0.42	% (13236)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/15Mi)
0.23/0.42	% (13234)Instruction limit reached!
0.23/0.42	% (13234)------------------------------
0.23/0.42	% (13234)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.42	% (13234)Termination reason: Unknown
0.23/0.42	% (13234)Termination phase: shuffling
0.23/0.42	
0.23/0.42	% (13234)Memory used [KB]: 1023
0.23/0.42	% (13234)Time elapsed: 0.004 s
0.23/0.42	% (13234)Instructions burned: 3 (million)
0.23/0.42	% (13234)------------------------------
0.23/0.42	% (13234)------------------------------
0.23/0.42	% (13237)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/3Mi)
0.23/0.43	% (13236)Instruction limit reached!
0.23/0.43	% (13236)------------------------------
0.23/0.43	% (13236)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.43	% (13236)Termination reason: Unknown
0.23/0.43	% (13236)Termination phase: Saturation
0.23/0.43	
0.23/0.43	% (13236)Memory used [KB]: 5628
0.23/0.43	% (13236)Time elapsed: 0.011 s
0.23/0.43	% (13236)Instructions burned: 16 (million)
0.23/0.43	% (13236)------------------------------
0.23/0.43	% (13236)------------------------------
0.23/0.43	% (13237)Instruction limit reached!
0.23/0.43	% (13237)------------------------------
0.23/0.43	% (13237)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.43	% (13237)Termination reason: Unknown
0.23/0.43	% (13237)Termination phase: shuffling
0.23/0.43	
0.23/0.43	% (13237)Memory used [KB]: 1023
0.23/0.43	% (13237)Time elapsed: 0.004 s
0.23/0.43	% (13237)Instructions burned: 3 (million)
0.23/0.43	% (13237)------------------------------
0.23/0.43	% (13237)------------------------------
0.23/0.43	% (13238)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 E---3.1_13119 for (1799ds/1041Mi)
0.23/0.43	% (13239)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/7Mi)
0.23/0.44	% (13239)Instruction limit reached!
0.23/0.44	% (13239)------------------------------
0.23/0.44	% (13239)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.44	% (13239)Termination reason: Unknown
0.23/0.44	% (13239)Termination phase: Property scanning
0.23/0.44	
0.23/0.44	% (13239)Memory used [KB]: 1023
0.23/0.44	% (13239)Time elapsed: 0.006 s
0.23/0.44	% (13239)Instructions burned: 7 (million)
0.23/0.44	% (13239)------------------------------
0.23/0.44	% (13239)------------------------------
0.23/0.44	% (13235)Instruction limit reached!
0.23/0.44	% (13235)------------------------------
0.23/0.44	% (13235)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.44	% (13235)Termination reason: Unknown
0.23/0.44	% (13235)Termination phase: Saturation
0.23/0.44	
0.23/0.44	% (13235)Memory used [KB]: 5884
0.23/0.44	% (13235)Time elapsed: 0.024 s
0.23/0.44	% (13235)Instructions burned: 37 (million)
0.23/0.44	% (13235)------------------------------
0.23/0.44	% (13235)------------------------------
0.23/0.44	% (13240)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/16Mi)
0.23/0.44	% (13241)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/3Mi)
0.23/0.44	% (13241)Instruction limit reached!
0.23/0.44	% (13241)------------------------------
0.23/0.44	% (13241)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.44	% (13241)Termination reason: Unknown
0.23/0.44	% (13241)Termination phase: shuffling
0.23/0.44	
0.23/0.44	% (13241)Memory used [KB]: 1023
0.23/0.44	% (13241)Time elapsed: 0.004 s
0.23/0.44	% (13241)Instructions burned: 3 (million)
0.23/0.44	% (13241)------------------------------
0.23/0.44	% (13241)------------------------------
0.23/0.45	% (13240)Instruction limit reached!
0.23/0.45	% (13240)------------------------------
0.23/0.45	% (13240)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.45	% (13240)Termination reason: Unknown
0.23/0.45	% (13240)Termination phase: Saturation
0.23/0.45	
0.23/0.45	% (13240)Memory used [KB]: 5884
0.23/0.45	% (13240)Time elapsed: 0.013 s
0.23/0.45	% (13240)Instructions burned: 16 (million)
0.23/0.45	% (13240)------------------------------
0.23/0.45	% (13240)------------------------------
0.23/0.45	% (13242)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 E---3.1_13119 for (1799ds/3Mi)
0.23/0.45	% (13243)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/7Mi)
0.23/0.46	% (13242)Instruction limit reached!
0.23/0.46	% (13242)------------------------------
0.23/0.46	% (13242)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.46	% (13242)Termination reason: Unknown
0.23/0.46	% (13242)Termination phase: shuffling
0.23/0.46	
0.23/0.46	% (13242)Memory used [KB]: 1023
0.23/0.46	% (13242)Time elapsed: 0.004 s
0.23/0.46	% (13242)Instructions burned: 4 (million)
0.23/0.46	% (13242)------------------------------
0.23/0.46	% (13242)------------------------------
0.23/0.46	% (13243)Instruction limit reached!
0.23/0.46	% (13243)------------------------------
0.23/0.46	% (13243)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.46	% (13243)Termination reason: Unknown
0.23/0.46	% (13243)Termination phase: Function definition elimination
0.23/0.46	
0.23/0.46	% (13243)Memory used [KB]: 1023
0.23/0.46	% (13243)Time elapsed: 0.006 s
0.23/0.46	% (13243)Instructions burned: 7 (million)
0.23/0.46	% (13243)------------------------------
0.23/0.46	% (13243)------------------------------
0.23/0.46	% (13244)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/3Mi)
0.23/0.46	% (13244)Instruction limit reached!
0.23/0.46	% (13244)------------------------------
0.23/0.46	% (13244)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.46	% (13244)Termination reason: Unknown
0.23/0.46	% (13244)Termination phase: Property scanning
0.23/0.46	
0.23/0.46	% (13244)Memory used [KB]: 1023
0.23/0.46	% (13244)Time elapsed: 0.004 s
0.23/0.46	% (13244)Instructions burned: 4 (million)
0.23/0.46	% (13244)------------------------------
0.23/0.46	% (13244)------------------------------
0.23/0.47	% (13245)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/4Mi)
0.23/0.47	% (13246)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/18Mi)
0.23/0.47	% (13245)Instruction limit reached!
0.23/0.47	% (13245)------------------------------
0.23/0.47	% (13245)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.47	% (13245)Termination reason: Unknown
0.23/0.47	% (13245)Termination phase: Preprocessing 1
0.23/0.47	
0.23/0.47	% (13245)Memory used [KB]: 1023
0.23/0.47	% (13245)Time elapsed: 0.005 s
0.23/0.47	% (13245)Instructions burned: 5 (million)
0.23/0.47	% (13245)------------------------------
0.23/0.47	% (13245)------------------------------
0.23/0.47	% (13247)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/710Mi)
0.23/0.48	% (13248)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/6Mi)
0.23/0.48	% (13246)Instruction limit reached!
0.23/0.48	% (13246)------------------------------
0.23/0.48	% (13246)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.48	% (13246)Termination reason: Unknown
0.23/0.48	% (13246)Termination phase: Saturation
0.23/0.48	
0.23/0.48	% (13246)Memory used [KB]: 5756
0.23/0.48	% (13246)Time elapsed: 0.010 s
0.23/0.48	% (13246)Instructions burned: 18 (million)
0.23/0.48	% (13246)------------------------------
0.23/0.48	% (13246)------------------------------
0.23/0.48	% (13248)Instruction limit reached!
0.23/0.48	% (13248)------------------------------
0.23/0.48	% (13248)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.48	% (13248)Termination reason: Unknown
0.23/0.48	% (13248)Termination phase: Property scanning
0.23/0.48	
0.23/0.48	% (13248)Memory used [KB]: 1023
0.23/0.48	% (13248)Time elapsed: 0.005 s
0.23/0.48	% (13248)Instructions burned: 8 (million)
0.23/0.48	% (13248)------------------------------
0.23/0.48	% (13248)------------------------------
0.23/0.49	% (13249)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/902Mi)
0.23/0.49	% (13251)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 E---3.1_13119 for (1799ds/21Mi)
0.23/0.49	% (13252)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_13119 for (1799ds/5Mi)
0.23/0.49	% (13252)Instruction limit reached!
0.23/0.49	% (13252)------------------------------
0.23/0.49	% (13252)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.49	% (13252)Termination reason: Unknown
0.23/0.49	% (13252)Termination phase: shuffling
0.23/0.49	
0.23/0.49	% (13252)Memory used [KB]: 1023
0.23/0.49	% (13252)Time elapsed: 0.004 s
0.23/0.49	% (13252)Instructions burned: 7 (million)
0.23/0.49	% (13252)------------------------------
0.23/0.49	% (13252)------------------------------
0.23/0.49	% (13249)Refutation not found, incomplete strategy
0.23/0.49	% (13249)------------------------------
0.23/0.49	% (13249)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.49	% (13249)Termination reason: Refutation not found, incomplete strategy
0.23/0.49	
0.23/0.49	
0.23/0.49	% (13249)Memory used [KB]: 5628
0.23/0.49	% (13249)Time elapsed: 0.007 s
0.23/0.49	% (13249)Instructions burned: 9 (million)
0.23/0.49	% (13249)------------------------------
0.23/0.49	% (13249)------------------------------
0.23/0.50	% (13251)Instruction limit reached!
0.23/0.50	% (13251)------------------------------
0.23/0.50	% (13251)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.50	% (13251)Termination reason: Unknown
0.23/0.50	% (13251)Termination phase: Saturation
0.23/0.50	
0.23/0.50	% (13251)Memory used [KB]: 5756
0.23/0.50	% (13251)Time elapsed: 0.010 s
0.23/0.50	% (13251)Instructions burned: 22 (million)
0.23/0.50	% (13251)------------------------------
0.23/0.50	% (13251)------------------------------
0.23/0.50	% (13253)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on E---3.1_13119 for (1798ds/6Mi)
0.23/0.50	% (13253)Instruction limit reached!
0.23/0.50	% (13253)------------------------------
0.23/0.50	% (13253)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.50	% (13253)Termination reason: Unknown
0.23/0.50	% (13253)Termination phase: Saturation
0.23/0.50	
0.23/0.50	% (13253)Memory used [KB]: 5500
0.23/0.50	% (13253)Time elapsed: 0.004 s
0.23/0.50	% (13253)Instructions burned: 7 (million)
0.23/0.50	% (13253)------------------------------
0.23/0.50	% (13253)------------------------------
0.23/0.50	% (13254)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_13119 for (1798ds/377Mi)
0.23/0.50	% (13255)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=779:si=on:rtra=on_0 on E---3.1_13119 for (1798ds/779Mi)
0.23/0.51	% (13256)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 E---3.1_13119 for (1798ds/19Mi)
0.23/0.51	% (13227)Instruction limit reached!
0.23/0.51	% (13227)------------------------------
0.23/0.51	% (13227)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.51	% (13227)Termination reason: Unknown
0.23/0.51	% (13227)Termination phase: Saturation
0.23/0.51	
0.23/0.51	% (13227)Memory used [KB]: 7164
0.23/0.51	% (13227)Time elapsed: 0.116 s
0.23/0.51	% (13227)Instructions burned: 184 (million)
0.23/0.51	% (13227)------------------------------
0.23/0.51	% (13227)------------------------------
0.23/0.52	% (13256)Instruction limit reached!
0.23/0.52	% (13256)------------------------------
0.23/0.52	% (13256)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.52	% (13256)Termination reason: Unknown
0.23/0.52	% (13256)Termination phase: Saturation
0.23/0.52	
0.23/0.52	% (13256)Memory used [KB]: 5628
0.23/0.52	% (13256)Time elapsed: 0.008 s
0.23/0.52	% (13256)Instructions burned: 19 (million)
0.23/0.52	% (13256)------------------------------
0.23/0.52	% (13256)------------------------------
0.23/0.52	% (13257)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on E---3.1_13119 for (1798ds/879Mi)
0.23/0.53	% (13258)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_13119 for (1798ds/17Mi)
0.23/0.53	% (13258)Instruction limit reached!
0.23/0.53	% (13258)------------------------------
0.23/0.53	% (13258)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.53	% (13258)Termination reason: Unknown
0.23/0.53	% (13258)Termination phase: Saturation
0.23/0.53	
0.23/0.53	% (13258)Memory used [KB]: 5628
0.23/0.53	% (13258)Time elapsed: 0.007 s
0.23/0.53	% (13258)Instructions burned: 17 (million)
0.23/0.53	% (13258)------------------------------
0.23/0.53	% (13258)------------------------------
0.23/0.54	% (13232)Instruction limit reached!
0.23/0.54	% (13232)------------------------------
0.23/0.54	% (13232)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.54	% (13232)Termination reason: Unknown
0.23/0.54	% (13232)Termination phase: Saturation
0.23/0.54	
0.23/0.54	% (13232)Memory used [KB]: 6524
0.23/0.54	% (13232)Time elapsed: 0.141 s
0.23/0.54	% (13232)Instructions burned: 276 (million)
0.23/0.54	% (13232)------------------------------
0.23/0.54	% (13232)------------------------------
0.23/0.54	% (13259)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_13119 for (1798ds/3Mi)
0.23/0.54	% (13259)Instruction limit reached!
0.23/0.54	% (13259)------------------------------
0.23/0.54	% (13259)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.54	% (13259)Termination reason: Unknown
0.23/0.54	% (13259)Termination phase: Property scanning
0.23/0.54	
0.23/0.54	% (13259)Memory used [KB]: 1023
0.23/0.54	% (13259)Time elapsed: 0.003 s
0.23/0.54	% (13259)Instructions burned: 4 (million)
0.23/0.54	% (13259)------------------------------
0.23/0.54	% (13259)------------------------------
0.23/0.55	% (13260)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_13119 for (1798ds/30Mi)
0.23/0.55	% (13261)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on E---3.1_13119 for (1798ds/127Mi)
0.23/0.55	% (13260)Refutation not found, incomplete strategy
0.23/0.55	% (13260)------------------------------
0.23/0.55	% (13260)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.55	% (13260)Termination reason: Refutation not found, incomplete strategy
0.23/0.55	
0.23/0.55	
0.23/0.55	% (13260)Memory used [KB]: 5628
0.23/0.55	% (13260)Time elapsed: 0.006 s
0.23/0.55	% (13260)Instructions burned: 13 (million)
0.23/0.55	% (13260)------------------------------
0.23/0.55	% (13260)------------------------------
0.23/0.56	% (13262)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on E---3.1_13119 for (1798ds/100Mi)
0.23/0.58	% (13254)First to succeed.
0.23/0.59	% (13254)Refutation found. Thanks to Tanya!
0.23/0.59	% SZS status Theorem for E---3.1_13119
0.23/0.59	% SZS output start Proof for E---3.1_13119
0.23/0.59	thf(type_def_5, type, mu: $tType).
0.23/0.59	thf(func_def_0, type, mu: $tType).
0.23/0.59	thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
0.23/0.59	thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.59	thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
0.23/0.59	thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.59	thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.59	thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.59	thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.59	thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.59	thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
0.23/0.59	thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
0.23/0.59	thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
0.23/0.59	thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
0.23/0.59	thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
0.23/0.59	thf(func_def_15, type, mtrue: $i > $o).
0.23/0.59	thf(func_def_16, type, mfalse: $i > $o).
0.23/0.59	thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
0.23/0.59	thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
0.23/0.59	thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
0.23/0.59	thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
0.23/0.59	thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
0.23/0.59	thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
0.23/0.59	thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
0.23/0.59	thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
0.23/0.59	thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
0.23/0.59	thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
0.23/0.59	thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
0.23/0.59	thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
0.23/0.59	thf(func_def_29, type, mvalid: ($i > $o) > $o).
0.23/0.59	thf(func_def_30, type, minvalid: ($i > $o) > $o).
0.23/0.59	thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
0.23/0.59	thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
0.23/0.59	thf(func_def_48, type, sK0: $i > $i > $o).
0.23/0.59	thf(func_def_51, type, sK3: $i > $o).
0.23/0.59	thf(func_def_53, type, sK5: $i > $o).
0.23/0.59	thf(func_def_61, type, sK13: $i > $o).
0.23/0.59	thf(func_def_64, type, sK16: $i > ($i > $o) > $i).
0.23/0.59	thf(func_def_65, type, sK17: ($i > $o) > $i > $i).
0.23/0.59	thf(func_def_66, type, sK18: ($i > $o) > $i > $i).
0.23/0.59	thf(func_def_67, type, ph19: !>[X0: $tType]:(X0)).
0.23/0.59	thf(f1827,plain,(
0.23/0.59	  $false),
0.23/0.59	  inference(avatar_sat_refutation,[],[f322,f326,f333,f337,f344,f349,f354,f355,f360,f365,f366,f367,f375,f380,f385,f386,f395,f400,f409,f414,f504,f635,f770,f774,f839,f919,f972,f992,f1019,f1120,f1171,f1174,f1288,f1297,f1325,f1549,f1672,f1731,f1734,f1826])).
0.23/0.59	thf(f1826,plain,(
0.23/0.59	  ~spl1_10 | ~spl1_18 | ~spl1_19 | ~spl1_60),
0.23/0.59	  inference(avatar_contradiction_clause,[],[f1825])).
0.23/0.59	thf(f1825,plain,(
0.23/0.59	  $false | (~spl1_10 | ~spl1_18 | ~spl1_19 | ~spl1_60)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1824])).
0.23/0.59	thf(f1824,plain,(
0.23/0.59	  ($true = $false) | (~spl1_10 | ~spl1_18 | ~spl1_19 | ~spl1_60)),
0.23/0.59	  inference(backward_demodulation,[],[f394,f1819])).
0.23/0.59	thf(f1819,plain,(
0.23/0.59	  ((sK3 @ sK8) = $false) | (~spl1_10 | ~spl1_19 | ~spl1_60)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1804])).
0.23/0.59	thf(f1804,plain,(
0.23/0.59	  ((sK3 @ sK8) = $false) | ($true = $false) | (~spl1_10 | ~spl1_19 | ~spl1_60)),
0.23/0.59	  inference(superposition,[],[f399,f1746])).
0.23/0.59	thf(f1746,plain,(
0.23/0.59	  ( ! [X0 : $i] : (((sK0 @ sK2 @ X0) = $false) | ($false = (sK3 @ X0))) ) | (~spl1_10 | ~spl1_60)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1743])).
0.23/0.59	thf(f1743,plain,(
0.23/0.59	  ( ! [X0 : $i] : (($true = $false) | ($false = (sK3 @ X0)) | ((sK0 @ sK2 @ X0) = $false)) ) | (~spl1_10 | ~spl1_60)),
0.23/0.59	  inference(superposition,[],[f353,f1118])).
0.23/0.59	thf(f1118,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : (((sK0 @ X1 @ sK11) = $false) | ($false = (sK3 @ X0)) | ((sK0 @ X1 @ X0) = $false)) ) | ~spl1_60),
0.23/0.59	  inference(avatar_component_clause,[],[f1117])).
0.23/0.59	thf(f1117,plain,(
0.23/0.59	  spl1_60 <=> ! [X0,X1] : (($false = (sK3 @ X0)) | ((sK0 @ X1 @ sK11) = $false) | ((sK0 @ X1 @ X0) = $false))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_60])])).
0.23/0.59	thf(f353,plain,(
0.23/0.59	  ($true = (sK0 @ sK2 @ sK11)) | ~spl1_10),
0.23/0.59	  inference(avatar_component_clause,[],[f351])).
0.23/0.59	thf(f351,plain,(
0.23/0.59	  spl1_10 <=> ($true = (sK0 @ sK2 @ sK11))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_10])])).
0.23/0.59	thf(f399,plain,(
0.23/0.59	  ($true = (sK0 @ sK2 @ sK8)) | ~spl1_19),
0.23/0.59	  inference(avatar_component_clause,[],[f397])).
0.23/0.59	thf(f397,plain,(
0.23/0.59	  spl1_19 <=> ($true = (sK0 @ sK2 @ sK8))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_19])])).
0.23/0.59	thf(f394,plain,(
0.23/0.59	  ((sK3 @ sK8) = $true) | ~spl1_18),
0.23/0.59	  inference(avatar_component_clause,[],[f392])).
0.23/0.59	thf(f392,plain,(
0.23/0.59	  spl1_18 <=> ((sK3 @ sK8) = $true)),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_18])])).
0.23/0.59	thf(f1734,plain,(
0.23/0.59	  ~spl1_9 | ~spl1_30),
0.23/0.59	  inference(avatar_contradiction_clause,[],[f1733])).
0.23/0.59	thf(f1733,plain,(
0.23/0.59	  $false | (~spl1_9 | ~spl1_30)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1732])).
0.23/0.59	thf(f1732,plain,(
0.23/0.59	  ($true = $false) | (~spl1_9 | ~spl1_30)),
0.23/0.59	  inference(backward_demodulation,[],[f348,f584])).
0.23/0.59	thf(f584,plain,(
0.23/0.59	  ((sK0 @ sK12 @ sK15) = $false) | ~spl1_30),
0.23/0.59	  inference(avatar_component_clause,[],[f582])).
0.23/0.59	thf(f582,plain,(
0.23/0.59	  spl1_30 <=> ((sK0 @ sK12 @ sK15) = $false)),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_30])])).
0.23/0.59	thf(f348,plain,(
0.23/0.59	  ($true = (sK0 @ sK12 @ sK15)) | ~spl1_9),
0.23/0.59	  inference(avatar_component_clause,[],[f346])).
0.23/0.59	thf(f346,plain,(
0.23/0.59	  spl1_9 <=> ($true = (sK0 @ sK12 @ sK15))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_9])])).
0.23/0.59	thf(f1731,plain,(
0.23/0.59	  spl1_27 | spl1_27 | ~spl1_4 | ~spl1_6 | ~spl1_8),
0.23/0.59	  inference(avatar_split_clause,[],[f1719,f342,f335,f328,f501,f501])).
0.23/0.59	thf(f501,plain,(
0.23/0.59	  spl1_27 <=> ! [X2,X3] : (((sK0 @ X3 @ sK15) = $false) | ($false = (sK0 @ X3 @ X2)) | ($true = (sK13 @ X2)))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_27])])).
0.23/0.59	thf(f328,plain,(
0.23/0.59	  spl1_4 <=> ! [X7,X8,X3 : $i > $o,X1] : (((X3 @ (sK17 @ X3 @ X8)) = $false) | ((sK0 @ X1 @ X7) = $false) | ((sK0 @ X1 @ X8) = $false) | ((X3 @ X7) = $true))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
0.23/0.59	thf(f335,plain,(
0.23/0.59	  spl1_6 <=> ! [X7,X8,X3 : $i > $o,X1] : (((X3 @ X7) = $true) | ($true = (sK0 @ X8 @ (sK17 @ X3 @ X8))) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X1 @ X7) = $false))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_6])])).
0.23/0.59	thf(f342,plain,(
0.23/0.59	  spl1_8 <=> ! [X2] : (((sK0 @ sK15 @ X2) = $false) | ($true = (sK13 @ X2)))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
0.23/0.59	thf(f1719,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X0 @ sK15) = $false) | ($false = (sK0 @ X3 @ X2)) | ($true = (sK13 @ X2)) | ((sK0 @ X0 @ X1) = $false) | ((sK13 @ X1) = $true) | ((sK0 @ X3 @ sK15) = $false)) ) | (~spl1_4 | ~spl1_6 | ~spl1_8)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1716])).
0.23/0.59	thf(f1716,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X3 @ sK15) = $false) | ((sK0 @ X0 @ X1) = $false) | ($true = (sK13 @ X2)) | ($false = (sK0 @ X3 @ X2)) | ($true = $false) | ((sK13 @ X1) = $true) | ((sK0 @ X0 @ sK15) = $false)) ) | (~spl1_4 | ~spl1_6 | ~spl1_8)),
0.23/0.59	  inference(superposition,[],[f1607,f329])).
0.23/0.59	thf(f329,plain,(
0.23/0.59	  ( ! [X3 : $i > $o,X1 : $i,X8 : $i,X7 : $i] : (((X3 @ (sK17 @ X3 @ X8)) = $false) | ((X3 @ X7) = $true) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X1 @ X7) = $false)) ) | ~spl1_4),
0.23/0.59	  inference(avatar_component_clause,[],[f328])).
0.23/0.59	thf(f1607,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (sK13 @ (sK17 @ X0 @ sK15))) | ((sK0 @ X2 @ X1) = $false) | ((X0 @ X1) = $true) | ((sK0 @ X2 @ sK15) = $false)) ) | (~spl1_6 | ~spl1_8)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1597])).
0.23/0.59	thf(f1597,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((X0 @ X1) = $true) | ((sK0 @ X2 @ X1) = $false) | ((sK0 @ X2 @ sK15) = $false) | ($true = $false) | ($true = (sK13 @ (sK17 @ X0 @ sK15)))) ) | (~spl1_6 | ~spl1_8)),
0.23/0.59	  inference(superposition,[],[f343,f336])).
0.23/0.59	thf(f336,plain,(
0.23/0.59	  ( ! [X3 : $i > $o,X1 : $i,X8 : $i,X7 : $i] : (($true = (sK0 @ X8 @ (sK17 @ X3 @ X8))) | ((X3 @ X7) = $true) | ((sK0 @ X1 @ X7) = $false) | ((sK0 @ X1 @ X8) = $false)) ) | ~spl1_6),
0.23/0.59	  inference(avatar_component_clause,[],[f335])).
0.23/0.59	thf(f343,plain,(
0.23/0.59	  ( ! [X2 : $i] : (((sK0 @ sK15 @ X2) = $false) | ($true = (sK13 @ X2))) ) | ~spl1_8),
0.23/0.59	  inference(avatar_component_clause,[],[f342])).
0.23/0.59	thf(f1672,plain,(
0.23/0.59	  spl1_30 | ~spl1_11 | ~spl1_12 | ~spl1_27),
0.23/0.59	  inference(avatar_split_clause,[],[f1671,f501,f362,f357,f582])).
0.23/0.59	thf(f357,plain,(
0.23/0.59	  spl1_11 <=> ((sK13 @ sK14) = $false)),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_11])])).
0.23/0.59	thf(f362,plain,(
0.23/0.59	  spl1_12 <=> ($true = (sK0 @ sK12 @ sK14))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_12])])).
0.23/0.59	thf(f1671,plain,(
0.23/0.59	  ((sK0 @ sK12 @ sK15) = $false) | (~spl1_11 | ~spl1_12 | ~spl1_27)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1670])).
0.23/0.59	thf(f1670,plain,(
0.23/0.59	  ((sK0 @ sK12 @ sK15) = $false) | ($true = $false) | (~spl1_11 | ~spl1_12 | ~spl1_27)),
0.23/0.59	  inference(forward_demodulation,[],[f1662,f359])).
0.23/0.59	thf(f359,plain,(
0.23/0.59	  ((sK13 @ sK14) = $false) | ~spl1_11),
0.23/0.59	  inference(avatar_component_clause,[],[f357])).
0.23/0.59	thf(f1662,plain,(
0.23/0.59	  ((sK13 @ sK14) = $true) | ((sK0 @ sK12 @ sK15) = $false) | (~spl1_12 | ~spl1_27)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1633])).
0.23/0.59	thf(f1633,plain,(
0.23/0.59	  ($true = $false) | ((sK0 @ sK12 @ sK15) = $false) | ((sK13 @ sK14) = $true) | (~spl1_12 | ~spl1_27)),
0.23/0.59	  inference(superposition,[],[f502,f364])).
0.23/0.59	thf(f364,plain,(
0.23/0.59	  ($true = (sK0 @ sK12 @ sK14)) | ~spl1_12),
0.23/0.59	  inference(avatar_component_clause,[],[f362])).
0.23/0.59	thf(f502,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i] : (($false = (sK0 @ X3 @ X2)) | ((sK0 @ X3 @ sK15) = $false) | ($true = (sK13 @ X2))) ) | ~spl1_27),
0.23/0.59	  inference(avatar_component_clause,[],[f501])).
0.23/0.59	thf(f1549,plain,(
0.23/0.59	  spl1_55 | ~spl1_1 | ~spl1_5 | ~spl1_13),
0.23/0.59	  inference(avatar_split_clause,[],[f1518,f369,f331,f317,f908])).
0.23/0.59	thf(f908,plain,(
0.23/0.59	  spl1_55 <=> ! [X2,X3] : (((sK0 @ X2 @ sK9) = $false) | ($true = (sK5 @ X3)) | ((sK0 @ X2 @ X3) = $false))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_55])])).
0.23/0.59	thf(f317,plain,(
0.23/0.59	  spl1_1 <=> ! [X5,X4 : $i > $o,X6,X2] : (((X4 @ X6) = $false) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X2 @ X5) = $false) | ($true = (X4 @ (sK16 @ X5 @ X4))))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
0.23/0.59	thf(f331,plain,(
0.23/0.59	  spl1_5 <=> ! [X5,X4 : $i > $o,X6,X2] : (($true = (sK0 @ X5 @ (sK16 @ X5 @ X4))) | ((X4 @ X6) = $false) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X2 @ X5) = $false))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_5])])).
0.23/0.59	thf(f369,plain,(
0.23/0.59	  spl1_13 <=> ! [X1] : (($true = (sK5 @ X1)) | ((sK0 @ sK9 @ X1) = $false))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_13])])).
0.23/0.59	thf(f1518,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : (($false = (sK0 @ X0 @ sK9)) | ($true = (sK5 @ X1)) | ((sK0 @ X0 @ X1) = $false)) ) | (~spl1_1 | ~spl1_5 | ~spl1_13)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1517])).
0.23/0.59	thf(f1517,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : (($true = (sK5 @ X1)) | ((sK0 @ X0 @ X1) = $false) | (X1 != X1) | ($false != $false) | ($false = (sK0 @ X0 @ sK9))) ) | (~spl1_1 | ~spl1_5 | ~spl1_13)),
0.23/0.59	  inference(duplicate_literal_removal,[],[f1494])).
0.23/0.59	thf(f1494,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : (((sK0 @ X0 @ X1) = $false) | ($true = (sK5 @ X1)) | ($false != $false) | (X1 != X1) | ($false = (sK0 @ X0 @ sK9)) | ($false = (sK0 @ X0 @ sK9))) ) | (~spl1_1 | ~spl1_5 | ~spl1_13)),
0.23/0.59	  inference(equality_factoring,[],[f1415])).
0.23/0.59	thf(f1415,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK0 @ X3 @ X0)) | ((sK0 @ X1 @ sK9) = $false) | ((sK5 @ X0) = $true) | ($false = (sK0 @ X1 @ X2)) | ((sK0 @ X3 @ sK9) = $false) | (X0 != X2)) ) | (~spl1_1 | ~spl1_5 | ~spl1_13)),
0.23/0.59	  inference(equality_proxy_clausification,[],[f1413])).
0.23/0.59	thf(f1413,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((X0 = X2) = $false) | ((sK0 @ X1 @ sK9) = $false) | ($false = (sK0 @ X1 @ X2)) | ((sK0 @ X3 @ sK9) = $false) | ($false = (sK0 @ X3 @ X0)) | ((sK5 @ X0) = $true)) ) | (~spl1_1 | ~spl1_5 | ~spl1_13)),
0.23/0.59	  inference(superposition,[],[f1406,f1040])).
0.23/0.59	thf(f1040,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (((sK16 @ X0 @ (= @ X1)) = X1) | ((sK0 @ X2 @ X1) = $false) | ((sK0 @ X2 @ X0) = $false)) ) | ~spl1_1),
0.23/0.59	  inference(leibniz_equality_elimination,[],[f318])).
0.23/0.59	thf(f318,plain,(
0.23/0.59	  ( ! [X2 : $i,X6 : $i,X4 : $i > $o,X5 : $i] : (($true = (X4 @ (sK16 @ X5 @ X4))) | ((X4 @ X6) = $false) | ((sK0 @ X2 @ X5) = $false) | ((sK0 @ X2 @ X6) = $false)) ) | ~spl1_1),
0.23/0.59	  inference(avatar_component_clause,[],[f317])).
0.23/0.59	thf(f1406,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK5 @ (sK16 @ sK9 @ X0)) = $true) | ((sK0 @ X2 @ sK9) = $false) | ((sK0 @ X2 @ X1) = $false) | ((X0 @ X1) = $false)) ) | (~spl1_5 | ~spl1_13)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1399])).
0.23/0.59	thf(f1399,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK0 @ X2 @ X1) = $false) | ((sK5 @ (sK16 @ sK9 @ X0)) = $true) | ($true = $false) | ((X0 @ X1) = $false) | ((sK0 @ X2 @ sK9) = $false)) ) | (~spl1_5 | ~spl1_13)),
0.23/0.59	  inference(superposition,[],[f370,f332])).
0.23/0.59	thf(f332,plain,(
0.23/0.59	  ( ! [X2 : $i,X6 : $i,X4 : $i > $o,X5 : $i] : (($true = (sK0 @ X5 @ (sK16 @ X5 @ X4))) | ((X4 @ X6) = $false) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X2 @ X5) = $false)) ) | ~spl1_5),
0.23/0.59	  inference(avatar_component_clause,[],[f331])).
0.23/0.59	thf(f370,plain,(
0.23/0.59	  ( ! [X1 : $i] : (((sK0 @ sK9 @ X1) = $false) | ($true = (sK5 @ X1))) ) | ~spl1_13),
0.23/0.59	  inference(avatar_component_clause,[],[f369])).
0.23/0.59	thf(f1325,plain,(
0.23/0.59	  spl1_55 | spl1_55 | ~spl1_4 | ~spl1_6 | ~spl1_13),
0.23/0.59	  inference(avatar_split_clause,[],[f1219,f369,f335,f328,f908,f908])).
0.23/0.59	thf(f1219,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (sK5 @ X1)) | ((sK0 @ X0 @ X1) = $false) | ($true = (sK5 @ X3)) | ((sK0 @ X2 @ X3) = $false) | ((sK0 @ X2 @ sK9) = $false) | ($false = (sK0 @ X0 @ sK9))) ) | (~spl1_4 | ~spl1_6 | ~spl1_13)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1216])).
0.23/0.59	thf(f1216,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK0 @ X0 @ sK9)) | ((sK0 @ X0 @ X1) = $false) | ($true = (sK5 @ X1)) | ($true = $false) | ((sK0 @ X2 @ X3) = $false) | ($true = (sK5 @ X3)) | ((sK0 @ X2 @ sK9) = $false)) ) | (~spl1_4 | ~spl1_6 | ~spl1_13)),
0.23/0.59	  inference(superposition,[],[f329,f1210])).
0.23/0.59	thf(f1210,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK5 @ (sK17 @ X0 @ sK9)) = $true) | ((sK0 @ X2 @ X1) = $false) | ((sK0 @ X2 @ sK9) = $false) | ((X0 @ X1) = $true)) ) | (~spl1_6 | ~spl1_13)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1199])).
0.23/0.59	thf(f1199,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK5 @ (sK17 @ X0 @ sK9)) = $true) | ($true = $false) | ((sK0 @ X2 @ X1) = $false) | ((sK0 @ X2 @ sK9) = $false) | ((X0 @ X1) = $true)) ) | (~spl1_6 | ~spl1_13)),
0.23/0.59	  inference(superposition,[],[f370,f336])).
0.23/0.59	thf(f1297,plain,(
0.23/0.59	  spl1_49 | spl1_50 | ~spl1_4 | ~spl1_6 | ~spl1_7 | ~spl1_14 | ~spl1_15),
0.23/0.59	  inference(avatar_split_clause,[],[f1296,f377,f372,f339,f335,f328,f747,f744])).
0.23/0.59	thf(f744,plain,(
0.23/0.59	  spl1_49 <=> ! [X0,X1] : ((sK10 != X1) | ((sK0 @ X0 @ sK11) = $false) | ((sK0 @ X0 @ X1) = $false))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_49])])).
0.23/0.59	thf(f747,plain,(
0.23/0.59	  spl1_50 <=> ((sK0 @ sK2 @ sK11) = $false)),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_50])])).
0.23/0.59	thf(f339,plain,(
0.23/0.59	  spl1_7 <=> ! [X1] : (((sK3 @ X1) = $false) | ((sK0 @ sK11 @ X1) = $false))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_7])])).
0.23/0.59	thf(f372,plain,(
0.23/0.59	  spl1_14 <=> ($true = (sK3 @ sK10))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_14])])).
0.23/0.59	thf(f377,plain,(
0.23/0.59	  spl1_15 <=> ((sK0 @ sK2 @ sK10) = $true)),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_15])])).
0.23/0.59	thf(f1296,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : ((sK10 != X1) | ((sK0 @ X0 @ sK11) = $false) | ((sK0 @ X0 @ X1) = $false) | ((sK0 @ sK2 @ sK11) = $false)) ) | (~spl1_4 | ~spl1_6 | ~spl1_7 | ~spl1_14 | ~spl1_15)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1295])).
0.23/0.59	thf(f1295,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : (((sK0 @ X0 @ sK11) = $false) | ((sK0 @ sK2 @ sK11) = $false) | ((sK0 @ X0 @ X1) = $false) | (sK10 != X1) | ($true = $false)) ) | (~spl1_4 | ~spl1_6 | ~spl1_7 | ~spl1_14 | ~spl1_15)),
0.23/0.59	  inference(forward_demodulation,[],[f1262,f374])).
0.23/0.59	thf(f374,plain,(
0.23/0.59	  ($true = (sK3 @ sK10)) | ~spl1_14),
0.23/0.59	  inference(avatar_component_clause,[],[f372])).
0.23/0.59	thf(f1262,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : (((sK0 @ X0 @ sK11) = $false) | (sK10 != X1) | ((sK0 @ sK2 @ sK11) = $false) | ((sK0 @ X0 @ X1) = $false) | ($false = (sK3 @ sK10))) ) | (~spl1_4 | ~spl1_6 | ~spl1_7 | ~spl1_15)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1242])).
0.23/0.59	thf(f1242,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : (((sK0 @ sK2 @ sK11) = $false) | ((sK0 @ X0 @ sK11) = $false) | ((sK0 @ X0 @ X1) = $false) | ($false = (sK3 @ sK10)) | (sK10 != X1) | ($true = $false)) ) | (~spl1_4 | ~spl1_6 | ~spl1_7 | ~spl1_15)),
0.23/0.59	  inference(superposition,[],[f1233,f379])).
0.23/0.59	thf(f379,plain,(
0.23/0.59	  ((sK0 @ sK2 @ sK10) = $true) | ~spl1_15),
0.23/0.59	  inference(avatar_component_clause,[],[f377])).
0.23/0.59	thf(f1233,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK0 @ X3 @ X0)) | ((sK0 @ X3 @ sK11) = $false) | ((sK0 @ X2 @ sK11) = $false) | ((sK0 @ X2 @ X1) = $false) | ($false = (sK3 @ X0)) | (X0 != X1)) ) | (~spl1_4 | ~spl1_6 | ~spl1_7)),
0.23/0.59	  inference(equality_proxy_clausification,[],[f1232])).
0.23/0.59	thf(f1232,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK3 @ X0)) | ((sK0 @ X2 @ sK11) = $false) | ((X0 = X1) = $false) | ((sK0 @ X3 @ sK11) = $false) | ((sK0 @ X2 @ X1) = $false) | ($false = (sK0 @ X3 @ X0))) ) | (~spl1_4 | ~spl1_6 | ~spl1_7)),
0.23/0.59	  inference(not_proxy_clausification,[],[f1231])).
0.23/0.59	thf(f1231,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK3 @ X0)) | ((sK0 @ X3 @ sK11) = $false) | ((~ (X0 = X1)) = $true) | ((sK0 @ X2 @ sK11) = $false) | ((sK0 @ X2 @ X1) = $false) | ($false = (sK0 @ X3 @ X0))) ) | (~spl1_4 | ~spl1_6 | ~spl1_7)),
0.23/0.59	  inference(beta_eta_normalization,[],[f1223])).
0.23/0.59	thf(f1223,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X3 @ sK11) = $false) | ((sK0 @ X2 @ sK11) = $false) | ($false = (sK3 @ X0)) | ($false = (sK0 @ X3 @ X0)) | ((sK0 @ X2 @ X1) = $false) | ($true = ((^[Y0 : $i]: (~ (X0 = Y0))) @ X1))) ) | (~spl1_4 | ~spl1_6 | ~spl1_7)),
0.23/0.59	  inference(superposition,[],[f1207,f1182])).
0.23/0.59	thf(f1182,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (((sK17 @ (^[Y0 : $i]: (~ (X0 = Y0))) @ X1) = X0) | ((sK0 @ X2 @ X1) = $false) | ((sK0 @ X2 @ X0) = $false)) ) | ~spl1_4),
0.23/0.59	  inference(leibniz_equality_elimination,[],[f329])).
0.23/0.59	thf(f1207,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($false = (sK3 @ (sK17 @ X0 @ sK11))) | ((X0 @ X1) = $true) | ((sK0 @ X2 @ sK11) = $false) | ((sK0 @ X2 @ X1) = $false)) ) | (~spl1_6 | ~spl1_7)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1200])).
0.23/0.59	thf(f1200,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK0 @ X2 @ sK11) = $false) | ((X0 @ X1) = $true) | ((sK0 @ X2 @ X1) = $false) | ($false = (sK3 @ (sK17 @ X0 @ sK11))) | ($true = $false)) ) | (~spl1_6 | ~spl1_7)),
0.23/0.59	  inference(superposition,[],[f340,f336])).
0.23/0.59	thf(f340,plain,(
0.23/0.59	  ( ! [X1 : $i] : (((sK0 @ sK11 @ X1) = $false) | ((sK3 @ X1) = $false)) ) | ~spl1_7),
0.23/0.59	  inference(avatar_component_clause,[],[f339])).
0.23/0.59	thf(f1288,plain,(
0.23/0.59	  spl1_60 | ~spl1_4 | ~spl1_6 | ~spl1_7),
0.23/0.59	  inference(avatar_split_clause,[],[f1276,f339,f335,f328,f1117])).
0.23/0.59	thf(f1276,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : (((sK3 @ X1) = $false) | ((sK0 @ X0 @ sK11) = $false) | ((sK0 @ X0 @ X1) = $false)) ) | (~spl1_4 | ~spl1_6 | ~spl1_7)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1275])).
0.23/0.59	thf(f1275,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : (((sK3 @ X1) = $false) | ((sK0 @ X0 @ X1) = $false) | ((sK0 @ X0 @ sK11) = $false) | (X1 != X1) | ($false != $false)) ) | (~spl1_4 | ~spl1_6 | ~spl1_7)),
0.23/0.59	  inference(duplicate_literal_removal,[],[f1257])).
0.23/0.59	thf(f1257,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : (($false != $false) | ((sK3 @ X1) = $false) | (X1 != X1) | ((sK0 @ X0 @ X1) = $false) | ((sK0 @ X0 @ sK11) = $false) | ((sK0 @ X0 @ sK11) = $false)) ) | (~spl1_4 | ~spl1_6 | ~spl1_7)),
0.23/0.59	  inference(equality_factoring,[],[f1233])).
0.23/0.59	thf(f1174,plain,(
0.23/0.59	  ~spl1_14 | ~spl1_15 | spl1_50 | ~spl1_60),
0.23/0.59	  inference(avatar_contradiction_clause,[],[f1173])).
0.23/0.59	thf(f1173,plain,(
0.23/0.59	  $false | (~spl1_14 | ~spl1_15 | spl1_50 | ~spl1_60)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1172])).
0.23/0.59	thf(f1172,plain,(
0.23/0.59	  ($true = $false) | (~spl1_14 | ~spl1_15 | spl1_50 | ~spl1_60)),
0.23/0.59	  inference(backward_demodulation,[],[f374,f1163])).
0.23/0.59	thf(f1163,plain,(
0.23/0.59	  ($false = (sK3 @ sK10)) | (~spl1_15 | spl1_50 | ~spl1_60)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1140])).
0.23/0.59	thf(f1140,plain,(
0.23/0.59	  ($false = (sK3 @ sK10)) | ($true = $false) | (~spl1_15 | spl1_50 | ~spl1_60)),
0.23/0.59	  inference(superposition,[],[f1135,f379])).
0.23/0.59	thf(f1135,plain,(
0.23/0.59	  ( ! [X0 : $i] : (((sK0 @ sK2 @ X0) = $false) | ($false = (sK3 @ X0))) ) | (spl1_50 | ~spl1_60)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1129])).
0.23/0.59	thf(f1129,plain,(
0.23/0.59	  ( ! [X0 : $i] : (((sK0 @ sK2 @ X0) = $false) | ($false = (sK3 @ X0)) | ($false != $false)) ) | (spl1_50 | ~spl1_60)),
0.23/0.59	  inference(superposition,[],[f748,f1118])).
0.23/0.59	thf(f748,plain,(
0.23/0.59	  ((sK0 @ sK2 @ sK11) != $false) | spl1_50),
0.23/0.59	  inference(avatar_component_clause,[],[f747])).
0.23/0.59	thf(f1171,plain,(
0.23/0.59	  ~spl1_21 | ~spl1_22 | spl1_50 | ~spl1_60),
0.23/0.59	  inference(avatar_contradiction_clause,[],[f1170])).
0.23/0.59	thf(f1170,plain,(
0.23/0.59	  $false | (~spl1_21 | ~spl1_22 | spl1_50 | ~spl1_60)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1169])).
0.23/0.59	thf(f1169,plain,(
0.23/0.59	  ($true = $false) | (~spl1_21 | ~spl1_22 | spl1_50 | ~spl1_60)),
0.23/0.59	  inference(backward_demodulation,[],[f408,f1166])).
0.23/0.59	thf(f1166,plain,(
0.23/0.59	  ((sK3 @ sK7) = $false) | (~spl1_22 | spl1_50 | ~spl1_60)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1145])).
0.23/0.59	thf(f1145,plain,(
0.23/0.59	  ($true = $false) | ((sK3 @ sK7) = $false) | (~spl1_22 | spl1_50 | ~spl1_60)),
0.23/0.59	  inference(superposition,[],[f413,f1135])).
0.23/0.59	thf(f413,plain,(
0.23/0.59	  ($true = (sK0 @ sK2 @ sK7)) | ~spl1_22),
0.23/0.59	  inference(avatar_component_clause,[],[f411])).
0.23/0.59	thf(f411,plain,(
0.23/0.59	  spl1_22 <=> ($true = (sK0 @ sK2 @ sK7))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_22])])).
0.23/0.59	thf(f408,plain,(
0.23/0.59	  ((sK3 @ sK7) = $true) | ~spl1_21),
0.23/0.59	  inference(avatar_component_clause,[],[f406])).
0.23/0.59	thf(f406,plain,(
0.23/0.59	  spl1_21 <=> ((sK3 @ sK7) = $true)),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_21])])).
0.23/0.59	thf(f1120,plain,(
0.23/0.59	  spl1_60 | spl1_60 | ~spl1_1 | ~spl1_5 | ~spl1_7),
0.23/0.59	  inference(avatar_split_clause,[],[f1057,f339,f331,f317,f1117,f1117])).
0.23/0.59	thf(f1057,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X0 @ X1) = $false) | ((sK3 @ X1) = $false) | ((sK3 @ X2) = $false) | ((sK0 @ X0 @ sK11) = $false) | ($false = (sK0 @ X3 @ X2)) | ((sK0 @ X3 @ sK11) = $false)) ) | (~spl1_1 | ~spl1_5 | ~spl1_7)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1051])).
0.23/0.59	thf(f1051,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X0 @ sK11) = $false) | ($true = $false) | ($false = (sK0 @ X3 @ X2)) | ((sK0 @ X0 @ X1) = $false) | ((sK0 @ X3 @ sK11) = $false) | ((sK3 @ X1) = $false) | ((sK3 @ X2) = $false)) ) | (~spl1_1 | ~spl1_5 | ~spl1_7)),
0.23/0.59	  inference(superposition,[],[f640,f318])).
0.23/0.59	thf(f640,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($false = (sK3 @ (sK16 @ sK11 @ X0))) | ((sK0 @ X2 @ X1) = $false) | ((X0 @ X1) = $false) | ((sK0 @ X2 @ sK11) = $false)) ) | (~spl1_5 | ~spl1_7)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f637])).
0.23/0.59	thf(f637,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((X0 @ X1) = $false) | ($false = (sK3 @ (sK16 @ sK11 @ X0))) | ((sK0 @ X2 @ X1) = $false) | ((sK0 @ X2 @ sK11) = $false) | ($true = $false)) ) | (~spl1_5 | ~spl1_7)),
0.23/0.59	  inference(superposition,[],[f340,f332])).
0.23/0.59	thf(f1019,plain,(
0.23/0.59	  ~spl1_2 | ~spl1_3 | ~spl1_7 | ~spl1_10 | ~spl1_21 | ~spl1_22),
0.23/0.59	  inference(avatar_contradiction_clause,[],[f1018])).
0.23/0.59	thf(f1018,plain,(
0.23/0.59	  $false | (~spl1_2 | ~spl1_3 | ~spl1_7 | ~spl1_10 | ~spl1_21 | ~spl1_22)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1017])).
0.23/0.59	thf(f1017,plain,(
0.23/0.59	  ($true = $false) | (~spl1_2 | ~spl1_3 | ~spl1_7 | ~spl1_10 | ~spl1_21 | ~spl1_22)),
0.23/0.59	  inference(backward_demodulation,[],[f408,f1016])).
0.23/0.59	thf(f1016,plain,(
0.23/0.59	  ((sK3 @ sK7) = $false) | (~spl1_2 | ~spl1_3 | ~spl1_7 | ~spl1_10 | ~spl1_22)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f1005])).
0.23/0.59	thf(f1005,plain,(
0.23/0.59	  ($true = $false) | ((sK3 @ sK7) = $false) | (~spl1_2 | ~spl1_3 | ~spl1_7 | ~spl1_10 | ~spl1_22)),
0.23/0.59	  inference(superposition,[],[f413,f875])).
0.23/0.59	thf(f875,plain,(
0.23/0.59	  ( ! [X0 : $i] : (((sK0 @ sK2 @ X0) = $false) | ($false = (sK3 @ X0))) ) | (~spl1_2 | ~spl1_3 | ~spl1_7 | ~spl1_10)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f869])).
0.23/0.59	thf(f869,plain,(
0.23/0.59	  ( ! [X0 : $i] : (($false = (sK3 @ X0)) | ($true = $false) | ((sK0 @ sK2 @ X0) = $false)) ) | (~spl1_2 | ~spl1_3 | ~spl1_7 | ~spl1_10)),
0.23/0.59	  inference(superposition,[],[f353,f703])).
0.23/0.59	thf(f703,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : (((sK0 @ X0 @ sK11) = $false) | ((sK0 @ X0 @ X1) = $false) | ((sK3 @ X1) = $false)) ) | (~spl1_2 | ~spl1_3 | ~spl1_7)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f702])).
0.23/0.59	thf(f702,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : (($false != $false) | ((sK0 @ X0 @ sK11) = $false) | ((sK3 @ X1) = $false) | ((sK0 @ X0 @ X1) = $false) | (X1 != X1)) ) | (~spl1_2 | ~spl1_3 | ~spl1_7)),
0.23/0.59	  inference(duplicate_literal_removal,[],[f686])).
0.23/0.59	thf(f686,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : (($false != $false) | ((sK0 @ X0 @ sK11) = $false) | ((sK3 @ X1) = $false) | ((sK0 @ X0 @ X1) = $false) | ((sK0 @ X0 @ sK11) = $false) | (X1 != X1)) ) | (~spl1_2 | ~spl1_3 | ~spl1_7)),
0.23/0.59	  inference(equality_factoring,[],[f669])).
0.23/0.59	thf(f669,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK0 @ X3 @ X0)) | ((sK0 @ X2 @ X1) = $false) | ($false = (sK3 @ X0)) | ((sK0 @ X3 @ sK11) = $false) | ((sK0 @ X2 @ sK11) = $false) | (X0 != X1)) ) | (~spl1_2 | ~spl1_3 | ~spl1_7)),
0.23/0.59	  inference(equality_proxy_clausification,[],[f668])).
0.23/0.59	thf(f668,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK0 @ X3 @ X0)) | ((X0 = X1) = $false) | ((sK0 @ X2 @ X1) = $false) | ((sK0 @ X3 @ sK11) = $false) | ((sK0 @ X2 @ sK11) = $false) | ($false = (sK3 @ X0))) ) | (~spl1_2 | ~spl1_3 | ~spl1_7)),
0.23/0.59	  inference(not_proxy_clausification,[],[f667])).
0.23/0.59	thf(f667,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X2 @ X1) = $false) | ((sK0 @ X3 @ sK11) = $false) | ($false = (sK0 @ X3 @ X0)) | ((sK0 @ X2 @ sK11) = $false) | ($false = (sK3 @ X0)) | ((~ (X0 = X1)) = $true)) ) | (~spl1_2 | ~spl1_3 | ~spl1_7)),
0.23/0.59	  inference(beta_eta_normalization,[],[f665])).
0.23/0.59	thf(f665,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK0 @ X3 @ X0)) | ((sK0 @ X2 @ X1) = $false) | ((sK0 @ X2 @ sK11) = $false) | ($true = ((^[Y0 : $i]: (~ (X0 = Y0))) @ X1)) | ((sK0 @ X3 @ sK11) = $false) | ($false = (sK3 @ X0))) ) | (~spl1_2 | ~spl1_3 | ~spl1_7)),
0.23/0.59	  inference(superposition,[],[f663,f416])).
0.23/0.59	thf(f416,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (((sK18 @ (^[Y0 : $i]: (~ (X0 = Y0))) @ X1) = X0) | ((sK0 @ X2 @ X0) = $false) | ((sK0 @ X2 @ X1) = $false)) ) | ~spl1_2),
0.23/0.59	  inference(leibniz_equality_elimination,[],[f321])).
0.23/0.59	thf(f321,plain,(
0.23/0.59	  ( ! [X3 : $i > $o,X1 : $i,X8 : $i,X7 : $i] : (((X3 @ (sK18 @ X3 @ X8)) = $false) | ((X3 @ X7) = $true) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X1 @ X7) = $false)) ) | ~spl1_2),
0.23/0.59	  inference(avatar_component_clause,[],[f320])).
0.23/0.59	thf(f320,plain,(
0.23/0.59	  spl1_2 <=> ! [X7,X8,X3 : $i > $o,X1] : (((X3 @ X7) = $true) | ((sK0 @ X1 @ X7) = $false) | ((X3 @ (sK18 @ X3 @ X8)) = $false) | ((sK0 @ X1 @ X8) = $false))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
0.23/0.59	thf(f663,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK3 @ (sK18 @ X0 @ sK11)) = $false) | ((X0 @ X2) = $true) | ($false = (sK0 @ X1 @ X2)) | ((sK0 @ X1 @ sK11) = $false)) ) | (~spl1_3 | ~spl1_7)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f650])).
0.23/0.59	thf(f650,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((X0 @ X2) = $true) | ($false = (sK0 @ X1 @ X2)) | ((sK0 @ X1 @ sK11) = $false) | ($true = $false) | ((sK3 @ (sK18 @ X0 @ sK11)) = $false)) ) | (~spl1_3 | ~spl1_7)),
0.23/0.59	  inference(superposition,[],[f325,f340])).
0.23/0.59	thf(f325,plain,(
0.23/0.59	  ( ! [X3 : $i > $o,X1 : $i,X8 : $i,X7 : $i] : (((sK0 @ X8 @ (sK18 @ X3 @ X8)) = $true) | ((sK0 @ X1 @ X7) = $false) | ((X3 @ X7) = $true) | ((sK0 @ X1 @ X8) = $false)) ) | ~spl1_3),
0.23/0.59	  inference(avatar_component_clause,[],[f324])).
0.23/0.59	thf(f324,plain,(
0.23/0.59	  spl1_3 <=> ! [X7,X8,X3 : $i > $o,X1] : (((X3 @ X7) = $true) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X8 @ (sK18 @ X3 @ X8)) = $true) | ((sK0 @ X1 @ X7) = $false))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
0.23/0.59	thf(f992,plain,(
0.23/0.59	  ~spl1_2 | ~spl1_3 | ~spl1_7 | ~spl1_10 | ~spl1_18 | ~spl1_19),
0.23/0.59	  inference(avatar_contradiction_clause,[],[f991])).
0.23/0.59	thf(f991,plain,(
0.23/0.59	  $false | (~spl1_2 | ~spl1_3 | ~spl1_7 | ~spl1_10 | ~spl1_18 | ~spl1_19)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f990])).
0.23/0.59	thf(f990,plain,(
0.23/0.59	  ($true = $false) | (~spl1_2 | ~spl1_3 | ~spl1_7 | ~spl1_10 | ~spl1_18 | ~spl1_19)),
0.23/0.59	  inference(backward_demodulation,[],[f394,f988])).
0.23/0.59	thf(f988,plain,(
0.23/0.59	  ((sK3 @ sK8) = $false) | (~spl1_2 | ~spl1_3 | ~spl1_7 | ~spl1_10 | ~spl1_19)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f981])).
0.23/0.59	thf(f981,plain,(
0.23/0.59	  ($true = $false) | ((sK3 @ sK8) = $false) | (~spl1_2 | ~spl1_3 | ~spl1_7 | ~spl1_10 | ~spl1_19)),
0.23/0.59	  inference(superposition,[],[f875,f399])).
0.23/0.59	thf(f972,plain,(
0.23/0.59	  ~spl1_16 | ~spl1_17 | ~spl1_20 | ~spl1_55),
0.23/0.59	  inference(avatar_contradiction_clause,[],[f971])).
0.23/0.59	thf(f971,plain,(
0.23/0.59	  $false | (~spl1_16 | ~spl1_17 | ~spl1_20 | ~spl1_55)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f970])).
0.23/0.59	thf(f970,plain,(
0.23/0.59	  ($true = $false) | (~spl1_16 | ~spl1_17 | ~spl1_20 | ~spl1_55)),
0.23/0.59	  inference(forward_demodulation,[],[f958,f390])).
0.23/0.59	thf(f390,plain,(
0.23/0.59	  ($false = (sK5 @ sK6)) | ~spl1_17),
0.23/0.59	  inference(avatar_component_clause,[],[f388])).
0.23/0.59	thf(f388,plain,(
0.23/0.59	  spl1_17 <=> ($false = (sK5 @ sK6))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_17])])).
0.23/0.59	thf(f958,plain,(
0.23/0.59	  ($true = (sK5 @ sK6)) | (~spl1_16 | ~spl1_20 | ~spl1_55)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f950])).
0.23/0.59	thf(f950,plain,(
0.23/0.59	  ($true = $false) | ($true = (sK5 @ sK6)) | (~spl1_16 | ~spl1_20 | ~spl1_55)),
0.23/0.59	  inference(superposition,[],[f927,f404])).
0.23/0.59	thf(f404,plain,(
0.23/0.59	  ((sK0 @ sK4 @ sK6) = $true) | ~spl1_20),
0.23/0.59	  inference(avatar_component_clause,[],[f402])).
0.23/0.59	thf(f402,plain,(
0.23/0.59	  spl1_20 <=> ((sK0 @ sK4 @ sK6) = $true)),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_20])])).
0.23/0.59	thf(f927,plain,(
0.23/0.59	  ( ! [X0 : $i] : (((sK0 @ sK4 @ X0) = $false) | ((sK5 @ X0) = $true)) ) | (~spl1_16 | ~spl1_55)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f922])).
0.23/0.59	thf(f922,plain,(
0.23/0.59	  ( ! [X0 : $i] : (((sK5 @ X0) = $true) | ($true = $false) | ((sK0 @ sK4 @ X0) = $false)) ) | (~spl1_16 | ~spl1_55)),
0.23/0.59	  inference(superposition,[],[f384,f909])).
0.23/0.59	thf(f909,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i] : (((sK0 @ X2 @ sK9) = $false) | ($true = (sK5 @ X3)) | ((sK0 @ X2 @ X3) = $false)) ) | ~spl1_55),
0.23/0.59	  inference(avatar_component_clause,[],[f908])).
0.23/0.59	thf(f384,plain,(
0.23/0.59	  ($true = (sK0 @ sK4 @ sK9)) | ~spl1_16),
0.23/0.59	  inference(avatar_component_clause,[],[f382])).
0.23/0.59	thf(f382,plain,(
0.23/0.59	  spl1_16 <=> ($true = (sK0 @ sK4 @ sK9))),
0.23/0.59	  introduced(avatar_definition,[new_symbols(naming,[spl1_16])])).
0.23/0.59	thf(f919,plain,(
0.23/0.59	  spl1_55 | spl1_55 | ~spl1_2 | ~spl1_3 | ~spl1_13),
0.23/0.59	  inference(avatar_split_clause,[],[f901,f369,f324,f320,f908,f908])).
0.23/0.59	thf(f901,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (sK5 @ X2)) | ((sK0 @ X0 @ X1) = $false) | ($true = (sK5 @ X1)) | ($false = (sK0 @ X3 @ X2)) | ((sK0 @ X3 @ sK9) = $false) | ($false = (sK0 @ X0 @ sK9))) ) | (~spl1_2 | ~spl1_3 | ~spl1_13)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f898])).
0.23/0.59	thf(f898,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK0 @ X0 @ sK9)) | ((sK0 @ X0 @ X1) = $false) | ($false = (sK0 @ X3 @ X2)) | ($true = (sK5 @ X1)) | ((sK0 @ X3 @ sK9) = $false) | ($true = (sK5 @ X2)) | ($true = $false)) ) | (~spl1_2 | ~spl1_3 | ~spl1_13)),
0.23/0.59	  inference(superposition,[],[f865,f321])).
0.23/0.59	thf(f865,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK5 @ (sK18 @ X0 @ sK9)) = $true) | ($false = (sK0 @ X1 @ X2)) | ((X0 @ X2) = $true) | ((sK0 @ X1 @ sK9) = $false)) ) | (~spl1_3 | ~spl1_13)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f860])).
0.23/0.59	thf(f860,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($false = (sK0 @ X1 @ X2)) | ($true = $false) | ((sK5 @ (sK18 @ X0 @ sK9)) = $true) | ((X0 @ X2) = $true) | ((sK0 @ X1 @ sK9) = $false)) ) | (~spl1_3 | ~spl1_13)),
0.23/0.59	  inference(superposition,[],[f325,f370])).
0.23/0.59	thf(f839,plain,(
0.23/0.59	  ~spl1_10 | ~spl1_15 | ~spl1_49),
0.23/0.59	  inference(avatar_contradiction_clause,[],[f838])).
0.23/0.59	thf(f838,plain,(
0.23/0.59	  $false | (~spl1_10 | ~spl1_15 | ~spl1_49)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f826])).
0.23/0.59	thf(f826,plain,(
0.23/0.59	  (sK10 != sK10) | ($true = $false) | (~spl1_10 | ~spl1_15 | ~spl1_49)),
0.23/0.59	  inference(superposition,[],[f379,f814])).
0.23/0.59	thf(f814,plain,(
0.23/0.59	  ( ! [X0 : $i] : (((sK0 @ sK2 @ X0) = $false) | (sK10 != X0)) ) | (~spl1_10 | ~spl1_49)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f809])).
0.23/0.59	thf(f809,plain,(
0.23/0.59	  ( ! [X0 : $i] : (($true = $false) | ((sK0 @ sK2 @ X0) = $false) | (sK10 != X0)) ) | (~spl1_10 | ~spl1_49)),
0.23/0.59	  inference(superposition,[],[f353,f745])).
0.23/0.59	thf(f745,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : (((sK0 @ X0 @ sK11) = $false) | ((sK0 @ X0 @ X1) = $false) | (sK10 != X1)) ) | ~spl1_49),
0.23/0.59	  inference(avatar_component_clause,[],[f744])).
0.23/0.59	thf(f774,plain,(
0.23/0.59	  ~spl1_10 | ~spl1_50),
0.23/0.59	  inference(avatar_contradiction_clause,[],[f773])).
0.23/0.59	thf(f773,plain,(
0.23/0.59	  $false | (~spl1_10 | ~spl1_50)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f772])).
0.23/0.59	thf(f772,plain,(
0.23/0.59	  ($true = $false) | (~spl1_10 | ~spl1_50)),
0.23/0.59	  inference(backward_demodulation,[],[f353,f749])).
0.23/0.59	thf(f749,plain,(
0.23/0.59	  ((sK0 @ sK2 @ sK11) = $false) | ~spl1_50),
0.23/0.59	  inference(avatar_component_clause,[],[f747])).
0.23/0.59	thf(f770,plain,(
0.23/0.59	  spl1_50 | spl1_49 | ~spl1_2 | ~spl1_3 | ~spl1_7 | ~spl1_14 | ~spl1_15),
0.23/0.59	  inference(avatar_split_clause,[],[f769,f377,f372,f339,f324,f320,f744,f747])).
0.23/0.59	thf(f769,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : (((sK0 @ sK2 @ sK11) = $false) | ((sK0 @ X0 @ X1) = $false) | (sK10 != X1) | ((sK0 @ X0 @ sK11) = $false)) ) | (~spl1_2 | ~spl1_3 | ~spl1_7 | ~spl1_14 | ~spl1_15)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f768])).
0.23/0.59	thf(f768,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : (((sK0 @ sK2 @ sK11) = $false) | ((sK0 @ X0 @ X1) = $false) | ((sK0 @ X0 @ sK11) = $false) | ($true = $false) | (sK10 != X1)) ) | (~spl1_2 | ~spl1_3 | ~spl1_7 | ~spl1_14 | ~spl1_15)),
0.23/0.59	  inference(forward_demodulation,[],[f691,f374])).
0.23/0.59	thf(f691,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : (($false = (sK3 @ sK10)) | ((sK0 @ sK2 @ sK11) = $false) | ((sK0 @ X0 @ sK11) = $false) | ((sK0 @ X0 @ X1) = $false) | (sK10 != X1)) ) | (~spl1_2 | ~spl1_3 | ~spl1_7 | ~spl1_15)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f675])).
0.23/0.59	thf(f675,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : (((sK0 @ X0 @ X1) = $false) | (sK10 != X1) | ((sK0 @ X0 @ sK11) = $false) | ($true = $false) | ($false = (sK3 @ sK10)) | ((sK0 @ sK2 @ sK11) = $false)) ) | (~spl1_2 | ~spl1_3 | ~spl1_7 | ~spl1_15)),
0.23/0.59	  inference(superposition,[],[f669,f379])).
0.23/0.59	thf(f635,plain,(
0.23/0.59	  spl1_27 | ~spl1_1 | ~spl1_5 | ~spl1_8),
0.23/0.59	  inference(avatar_split_clause,[],[f553,f342,f331,f317,f501])).
0.23/0.59	thf(f553,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : (((sK0 @ X0 @ sK15) = $false) | ((sK13 @ X1) = $true) | ((sK0 @ X0 @ X1) = $false)) ) | (~spl1_1 | ~spl1_5 | ~spl1_8)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f552])).
0.23/0.59	thf(f552,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : ((X1 != X1) | ((sK0 @ X0 @ sK15) = $false) | ((sK0 @ X0 @ X1) = $false) | ($false != $false) | ((sK13 @ X1) = $true)) ) | (~spl1_1 | ~spl1_5 | ~spl1_8)),
0.23/0.59	  inference(duplicate_literal_removal,[],[f550])).
0.23/0.59	thf(f550,plain,(
0.23/0.59	  ( ! [X0 : $i,X1 : $i] : ((X1 != X1) | ((sK0 @ X0 @ sK15) = $false) | ((sK13 @ X1) = $true) | ($false != $false) | ((sK0 @ X0 @ sK15) = $false) | ((sK0 @ X0 @ X1) = $false)) ) | (~spl1_1 | ~spl1_5 | ~spl1_8)),
0.23/0.59	  inference(equality_factoring,[],[f529])).
0.23/0.59	thf(f529,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK0 @ X3 @ X0)) | ((sK0 @ X3 @ sK15) = $false) | ($true = (sK13 @ X0)) | ($false = (sK0 @ X1 @ X2)) | ($false = (sK0 @ X1 @ sK15)) | (X0 != X2)) ) | (~spl1_1 | ~spl1_5 | ~spl1_8)),
0.23/0.59	  inference(equality_proxy_clausification,[],[f527])).
0.23/0.59	thf(f527,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK0 @ X3 @ X0)) | ($false = (sK0 @ X1 @ sK15)) | ($true = (sK13 @ X0)) | ((X0 = X2) = $false) | ($false = (sK0 @ X1 @ X2)) | ((sK0 @ X3 @ sK15) = $false)) ) | (~spl1_1 | ~spl1_5 | ~spl1_8)),
0.23/0.59	  inference(superposition,[],[f483,f506])).
0.23/0.59	thf(f506,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (((sK16 @ X0 @ (= @ X1)) = X1) | ((sK0 @ X2 @ X1) = $false) | ((sK0 @ X2 @ X0) = $false)) ) | ~spl1_1),
0.23/0.59	  inference(leibniz_equality_elimination,[],[f318])).
0.23/0.59	thf(f483,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK13 @ (sK16 @ sK15 @ X0)) = $true) | ((sK0 @ X2 @ X1) = $false) | ((sK0 @ X2 @ sK15) = $false) | ((X0 @ X1) = $false)) ) | (~spl1_5 | ~spl1_8)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f479])).
0.23/0.59	thf(f479,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK0 @ X2 @ X1) = $false) | ((X0 @ X1) = $false) | ((sK13 @ (sK16 @ sK15 @ X0)) = $true) | ($true = $false) | ((sK0 @ X2 @ sK15) = $false)) ) | (~spl1_5 | ~spl1_8)),
0.23/0.59	  inference(superposition,[],[f332,f343])).
0.23/0.59	thf(f504,plain,(
0.23/0.59	  spl1_27 | spl1_27 | ~spl1_2 | ~spl1_3 | ~spl1_8),
0.23/0.59	  inference(avatar_split_clause,[],[f489,f342,f324,f320,f501,f501])).
0.23/0.59	thf(f489,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X1 @ X0) = $false) | ($true = (sK13 @ X0)) | ($false = (sK0 @ X3 @ X2)) | ($false = (sK0 @ X1 @ sK15)) | ($true = (sK13 @ X2)) | ((sK0 @ X3 @ sK15) = $false)) ) | (~spl1_2 | ~spl1_3 | ~spl1_8)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f487])).
0.23/0.59	thf(f487,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (sK13 @ X2)) | ((sK0 @ X1 @ X0) = $false) | ((sK0 @ X3 @ sK15) = $false) | ($true = $false) | ($true = (sK13 @ X0)) | ($false = (sK0 @ X1 @ sK15)) | ($false = (sK0 @ X3 @ X2))) ) | (~spl1_2 | ~spl1_3 | ~spl1_8)),
0.23/0.59	  inference(superposition,[],[f321,f484])).
0.23/0.59	thf(f484,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (sK13 @ (sK18 @ X0 @ sK15))) | ((X0 @ X1) = $true) | ((sK0 @ X2 @ sK15) = $false) | ((sK0 @ X2 @ X1) = $false)) ) | (~spl1_3 | ~spl1_8)),
0.23/0.59	  inference(trivial_inequality_removal,[],[f478])).
0.23/0.59	thf(f478,plain,(
0.23/0.59	  ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK0 @ X2 @ X1) = $false) | ($true = (sK13 @ (sK18 @ X0 @ sK15))) | ((sK0 @ X2 @ sK15) = $false) | ($true = $false) | ((X0 @ X1) = $true)) ) | (~spl1_3 | ~spl1_8)),
0.23/0.59	  inference(superposition,[],[f325,f343])).
0.23/0.59	thf(f414,plain,(
0.23/0.59	  spl1_20 | spl1_22),
0.23/0.59	  inference(avatar_split_clause,[],[f166,f411,f402])).
0.23/0.59	thf(f166,plain,(
0.23/0.59	  ($true = (sK0 @ sK2 @ sK7)) | ((sK0 @ sK4 @ sK6) = $true)),
0.23/0.59	  inference(not_proxy_clausification,[],[f165])).
0.23/0.59	thf(f165,plain,(
0.23/0.59	  ((sK0 @ sK4 @ sK6) = $true) | ((~ (sK0 @ sK2 @ sK7)) = $false)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f163])).
0.23/0.59	thf(f163,plain,(
0.23/0.59	  (((~ (sK0 @ sK2 @ sK7)) | (~ (sK3 @ sK7))) = $false) | ((sK0 @ sK4 @ sK6) = $true)),
0.23/0.59	  inference(not_proxy_clausification,[],[f162])).
0.23/0.59	thf(f162,plain,(
0.23/0.59	  ((~ (sK0 @ sK4 @ sK6)) = $false) | (((~ (sK0 @ sK2 @ sK7)) | (~ (sK3 @ sK7))) = $false)),
0.23/0.59	  inference(beta_eta_normalization,[],[f161])).
0.23/0.59	thf(f161,plain,(
0.23/0.59	  (((^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0)))) @ sK7) = $false) | ((~ (sK0 @ sK4 @ sK6)) = $false)),
0.23/0.59	  inference(sigma_clausification,[],[f160])).
0.23/0.59	thf(f160,plain,(
0.23/0.59	  ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0)))))) | ((~ (sK0 @ sK4 @ sK6)) = $false)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f158])).
0.23/0.59	thf(f158,plain,(
0.23/0.59	  (((~ (sK0 @ sK4 @ sK6)) | (sK5 @ sK6)) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0))))))),
0.23/0.59	  inference(beta_eta_normalization,[],[f157])).
0.23/0.59	thf(f157,plain,(
0.23/0.59	  ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0)))))) | (((^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (sK5 @ Y0))) @ sK6) = $false)),
0.23/0.59	  inference(sigma_clausification,[],[f156])).
0.23/0.59	thf(f156,plain,(
0.23/0.59	  ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (sK5 @ Y0))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0))))))),
0.23/0.59	  inference(binary_proxy_clausification,[],[f154])).
0.23/0.59	thf(f154,plain,(
0.23/0.59	  (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (sK5 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK5 @ Y1))))))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0))))))),
0.23/0.59	  inference(beta_eta_normalization,[],[f153])).
0.23/0.59	thf(f153,plain,(
0.23/0.59	  ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0)))))) | (((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK4 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK4 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))))) @ sK5) = $false)),
0.23/0.59	  inference(sigma_clausification,[],[f152])).
0.23/0.59	thf(f152,plain,(
0.23/0.59	  ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK4 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK4 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0))))))),
0.23/0.59	  inference(beta_eta_normalization,[],[f151])).
0.23/0.59	thf(f151,plain,(
0.23/0.59	  ($false = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3)))))))))))) @ sK4)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0))))))),
0.23/0.59	  inference(sigma_clausification,[],[f150])).
0.23/0.59	thf(f150,plain,(
0.23/0.59	  ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0))))))),
0.23/0.59	  inference(binary_proxy_clausification,[],[f148])).
0.23/0.59	thf(f148,plain,(
0.23/0.59	  (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (~ (sK3 @ Y1)))))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))))) = $false)),
0.23/0.59	  inference(beta_eta_normalization,[],[f147])).
0.23/0.59	thf(f147,plain,(
0.23/0.59	  ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))))) = $false) | (((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK2 @ Y1)) | (~ (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (~ (Y0 @ Y2))))))))))) @ sK3) = $false)),
0.23/0.59	  inference(sigma_clausification,[],[f146])).
0.23/0.59	thf(f146,plain,(
0.23/0.59	  ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK2 @ Y1)) | (~ (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (~ (Y0 @ Y2)))))))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))))) = $false)),
0.23/0.59	  inference(beta_eta_normalization,[],[f145])).
0.23/0.59	thf(f145,plain,(
0.23/0.59	  ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))))) = $false) | (((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))))))) @ sK2) = $false)),
0.23/0.59	  inference(sigma_clausification,[],[f144])).
0.23/0.59	thf(f144,plain,(
0.23/0.59	  ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))))) = $false)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f142])).
0.23/0.59	thf(f142,plain,(
0.23/0.59	  ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))) != (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))))))),
0.23/0.59	  inference(boolean_simplification,[],[f141])).
0.23/0.59	thf(f141,plain,(
0.23/0.59	  ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))) != (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))))))),
0.23/0.59	  inference(boolean_simplification,[],[f140])).
0.23/0.59	thf(f140,plain,(
0.23/0.59	  ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))) != (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))))))),
0.23/0.59	  inference(beta_eta_normalization,[],[f139])).
0.23/0.59	thf(f139,plain,(
0.23/0.59	  (((^[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 > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ sK0 @ Y0)) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ sK0 @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ sK0 @ Y0))))))) != ((^[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)))))) @ sK0 @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ sK0 @ ((^[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)))))) @ sK0 @ Y0)))))))),
0.23/0.59	  inference(definition_unfolding,[],[f124,f98,f99,f131,f138,f117,f138,f98,f99,f131,f106,f117,f117,f106,f117])).
0.23/0.59	thf(f106,plain,(
0.23/0.59	  (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
0.23/0.59	  inference(cnf_transformation,[],[f61])).
0.23/0.59	thf(f61,plain,(
0.23/0.59	  (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
0.23/0.59	  inference(fool_elimination,[],[f60])).
0.23/0.59	thf(f60,plain,(
0.23/0.59	  ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
0.23/0.59	  inference(rectify,[],[f3])).
0.23/0.59	thf(f3,axiom,(
0.23/0.59	  ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
0.23/0.59	  file('/export/starexec/sandbox2/tmp/tmp.c8kjTVOscG/E---3.1_13119.p',mnot)).
0.23/0.59	thf(f117,plain,(
0.23/0.59	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
0.23/0.59	  inference(cnf_transformation,[],[f74])).
0.23/0.59	thf(f74,plain,(
0.23/0.59	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
0.23/0.59	  inference(fool_elimination,[],[f73])).
0.23/0.59	thf(f73,plain,(
0.23/0.59	  ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))) = mbox)),
0.23/0.59	  inference(rectify,[],[f16])).
0.23/0.59	thf(f16,axiom,(
0.23/0.59	  ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))) = mbox)),
0.23/0.59	  file('/export/starexec/sandbox2/tmp/tmp.c8kjTVOscG/E---3.1_13119.p',mbox)).
0.23/0.59	thf(f138,plain,(
0.23/0.59	  (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)))))))),
0.23/0.59	  inference(definition_unfolding,[],[f114,f106,f117,f106])).
0.23/0.59	thf(f114,plain,(
0.23/0.59	  (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
0.23/0.59	  inference(cnf_transformation,[],[f86])).
0.23/0.59	thf(f86,plain,(
0.23/0.59	  (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
0.23/0.59	  inference(fool_elimination,[],[f85])).
0.23/0.59	thf(f85,plain,(
0.23/0.59	  (mdia = (^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))))),
0.23/0.59	  inference(rectify,[],[f17])).
0.23/0.59	thf(f17,axiom,(
0.23/0.59	  (mdia = (^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))))),
0.23/0.59	  file('/export/starexec/sandbox2/tmp/tmp.c8kjTVOscG/E---3.1_13119.p',mdia)).
0.23/0.59	thf(f131,plain,(
0.23/0.59	  (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)))))),
0.23/0.59	  inference(definition_unfolding,[],[f121,f115,f106])).
0.23/0.59	thf(f115,plain,(
0.23/0.59	  (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
0.23/0.59	  inference(cnf_transformation,[],[f63])).
0.23/0.59	thf(f63,plain,(
0.23/0.59	  (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
0.23/0.59	  inference(fool_elimination,[],[f62])).
0.23/0.59	thf(f62,plain,(
0.23/0.59	  ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
0.23/0.59	  inference(rectify,[],[f4])).
0.23/0.59	thf(f4,axiom,(
0.23/0.59	  ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))) = mor)),
0.23/0.59	  file('/export/starexec/sandbox2/tmp/tmp.c8kjTVOscG/E---3.1_13119.p',mor)).
0.23/0.59	thf(f121,plain,(
0.23/0.59	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
0.23/0.59	  inference(cnf_transformation,[],[f69])).
0.23/0.59	thf(f69,plain,(
0.23/0.59	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
0.23/0.59	  inference(fool_elimination,[],[f68])).
0.23/0.59	thf(f68,plain,(
0.23/0.59	  (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
0.23/0.59	  inference(rectify,[],[f6])).
0.23/0.59	thf(f6,axiom,(
0.23/0.59	  (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
0.23/0.59	  file('/export/starexec/sandbox2/tmp/tmp.c8kjTVOscG/E---3.1_13119.p',mimplies)).
0.23/0.59	thf(f99,plain,(
0.23/0.59	  (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
0.23/0.59	  inference(cnf_transformation,[],[f67])).
0.23/0.59	thf(f67,plain,(
0.23/0.59	  (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
0.23/0.59	  inference(fool_elimination,[],[f66])).
0.23/0.59	thf(f66,plain,(
0.23/0.59	  ((^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))) = mforall_prop)),
0.23/0.59	  inference(rectify,[],[f11])).
0.23/0.59	thf(f11,axiom,(
0.23/0.59	  ((^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))) = mforall_prop)),
0.23/0.59	  file('/export/starexec/sandbox2/tmp/tmp.c8kjTVOscG/E---3.1_13119.p',mforall_prop)).
0.23/0.59	thf(f98,plain,(
0.23/0.59	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
0.23/0.59	  inference(cnf_transformation,[],[f57])).
0.23/0.59	thf(f57,plain,(
0.23/0.59	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
0.23/0.59	  inference(fool_elimination,[],[f56])).
0.23/0.59	thf(f56,plain,(
0.23/0.59	  (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
0.23/0.59	  inference(rectify,[],[f28])).
0.23/0.59	thf(f28,axiom,(
0.23/0.59	  (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
0.23/0.59	  file('/export/starexec/sandbox2/tmp/tmp.c8kjTVOscG/E---3.1_13119.p',mvalid)).
0.23/0.59	thf(f124,plain,(
0.23/0.59	  ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ sK0 @ Y0) @ (mbox @ sK0 @ (mdia @ sK0 @ Y0)))))) != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ sK0 @ Y0)) @ (mbox @ sK0 @ (mnot @ (mbox @ sK0 @ Y0))))))))),
0.23/0.59	  inference(cnf_transformation,[],[f97])).
0.23/0.59	thf(f97,plain,(
0.23/0.59	  ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ sK0 @ Y0) @ (mbox @ sK0 @ (mdia @ sK0 @ Y0)))))) != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ sK0 @ Y0)) @ (mbox @ sK0 @ (mnot @ (mbox @ sK0 @ Y0))))))))),
0.23/0.59	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f95,f96])).
0.23/0.59	thf(f96,plain,(
0.23/0.59	  ? [X0 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ X0 @ Y0) @ (mbox @ X0 @ (mdia @ X0 @ Y0)))))) != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ X0 @ Y0)) @ (mbox @ X0 @ (mnot @ (mbox @ X0 @ Y0)))))))) => ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ sK0 @ Y0) @ (mbox @ sK0 @ (mdia @ sK0 @ Y0)))))) != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ sK0 @ Y0)) @ (mbox @ sK0 @ (mnot @ (mbox @ sK0 @ Y0))))))))),
0.23/0.59	  introduced(choice_axiom,[])).
0.23/0.59	thf(f95,plain,(
0.23/0.59	  ? [X0 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ X0 @ Y0) @ (mbox @ X0 @ (mdia @ X0 @ Y0)))))) != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ X0 @ Y0)) @ (mbox @ X0 @ (mnot @ (mbox @ X0 @ Y0))))))))),
0.23/0.59	  inference(ennf_transformation,[],[f65])).
0.23/0.59	thf(f65,plain,(
0.23/0.59	  ~! [X0 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ X0 @ Y0) @ (mbox @ X0 @ (mdia @ X0 @ Y0)))))) = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ X0 @ Y0)) @ (mbox @ X0 @ (mnot @ (mbox @ X0 @ Y0))))))))),
0.23/0.59	  inference(fool_elimination,[],[f64])).
0.23/0.59	thf(f64,plain,(
0.23/0.59	  ~! [X0 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[X1 : $i > $o] : (mimplies @ (mnot @ (mbox @ X0 @ X1)) @ (mbox @ X0 @ (mnot @ (mbox @ X0 @ X1))))))) <=> (mvalid @ (mforall_prop @ (^[X2 : $i > $o] : (mimplies @ (mdia @ X0 @ X2) @ (mbox @ X0 @ (mdia @ X0 @ X2)))))))),
0.23/0.59	  inference(rectify,[],[f33])).
0.23/0.59	thf(f33,negated_conjecture,(
0.23/0.59	  ~! [X6 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ X6 @ X3)) @ (mbox @ X6 @ (mnot @ (mbox @ X6 @ X3))))))) <=> (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mdia @ X6 @ X3) @ (mbox @ X6 @ (mdia @ X6 @ X3)))))))),
0.23/0.59	  inference(negated_conjecture,[],[f32])).
0.23/0.59	thf(f32,conjecture,(
0.23/0.59	  ! [X6 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ X6 @ X3)) @ (mbox @ X6 @ (mnot @ (mbox @ X6 @ X3))))))) <=> (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mdia @ X6 @ X3) @ (mbox @ X6 @ (mdia @ X6 @ X3)))))))),
0.23/0.59	  file('/export/starexec/sandbox2/tmp/tmp.c8kjTVOscG/E---3.1_13119.p',conj)).
0.23/0.59	thf(f409,plain,(
0.23/0.59	  spl1_20 | spl1_21),
0.23/0.59	  inference(avatar_split_clause,[],[f167,f406,f402])).
0.23/0.59	thf(f167,plain,(
0.23/0.59	  ((sK0 @ sK4 @ sK6) = $true) | ((sK3 @ sK7) = $true)),
0.23/0.59	  inference(not_proxy_clausification,[],[f164])).
0.23/0.59	thf(f164,plain,(
0.23/0.59	  ((~ (sK3 @ sK7)) = $false) | ((sK0 @ sK4 @ sK6) = $true)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f163])).
0.23/0.59	thf(f400,plain,(
0.23/0.59	  spl1_19 | spl1_17),
0.23/0.59	  inference(avatar_split_clause,[],[f172,f388,f397])).
0.23/0.59	thf(f172,plain,(
0.23/0.59	  ($false = (sK5 @ sK6)) | ($true = (sK0 @ sK2 @ sK8))),
0.23/0.59	  inference(not_proxy_clausification,[],[f171])).
0.23/0.59	thf(f171,plain,(
0.23/0.59	  ((~ (sK0 @ sK2 @ sK8)) = $false) | ($false = (sK5 @ sK6))),
0.23/0.59	  inference(binary_proxy_clausification,[],[f169])).
0.23/0.59	thf(f169,plain,(
0.23/0.59	  ($false = (sK5 @ sK6)) | (((~ (sK0 @ sK2 @ sK8)) | (~ (sK3 @ sK8))) = $false)),
0.23/0.59	  inference(beta_eta_normalization,[],[f168])).
0.23/0.59	thf(f168,plain,(
0.23/0.59	  (((^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0)))) @ sK8) = $false) | ($false = (sK5 @ sK6))),
0.23/0.59	  inference(sigma_clausification,[],[f159])).
0.23/0.59	thf(f159,plain,(
0.23/0.59	  ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0)))))) | ($false = (sK5 @ sK6))),
0.23/0.59	  inference(binary_proxy_clausification,[],[f158])).
0.23/0.59	thf(f395,plain,(
0.23/0.59	  spl1_17 | spl1_18),
0.23/0.59	  inference(avatar_split_clause,[],[f173,f392,f388])).
0.23/0.59	thf(f173,plain,(
0.23/0.59	  ($false = (sK5 @ sK6)) | ((sK3 @ sK8) = $true)),
0.23/0.59	  inference(not_proxy_clausification,[],[f170])).
0.23/0.59	thf(f170,plain,(
0.23/0.59	  ($false = (sK5 @ sK6)) | ((~ (sK3 @ sK8)) = $false)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f169])).
0.23/0.59	thf(f386,plain,(
0.23/0.59	  spl1_15 | spl1_16),
0.23/0.59	  inference(avatar_split_clause,[],[f183,f382,f377])).
0.23/0.59	thf(f183,plain,(
0.23/0.59	  ($true = (sK0 @ sK4 @ sK9)) | ((sK0 @ sK2 @ sK10) = $true)),
0.23/0.59	  inference(not_proxy_clausification,[],[f182])).
0.23/0.59	thf(f182,plain,(
0.23/0.59	  ($true = (sK0 @ sK4 @ sK9)) | ((~ (sK0 @ sK2 @ sK10)) = $false)),
0.23/0.59	  inference(not_proxy_clausification,[],[f181])).
0.23/0.59	thf(f181,plain,(
0.23/0.59	  ((~ (sK0 @ sK4 @ sK9)) = $false) | ((~ (sK0 @ sK2 @ sK10)) = $false)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f179])).
0.23/0.59	thf(f179,plain,(
0.23/0.59	  (((~ (sK0 @ sK2 @ sK10)) | (~ (sK3 @ sK10))) = $false) | ((~ (sK0 @ sK4 @ sK9)) = $false)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f177])).
0.23/0.59	thf(f177,plain,(
0.23/0.59	  (((~ (sK0 @ sK4 @ sK9)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK9 @ Y0)) | (sK5 @ Y0)))))) = $false) | (((~ (sK0 @ sK2 @ sK10)) | (~ (sK3 @ sK10))) = $false)),
0.23/0.59	  inference(beta_eta_normalization,[],[f176])).
0.23/0.59	thf(f176,plain,(
0.23/0.59	  (((~ (sK0 @ sK4 @ sK9)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK9 @ Y0)) | (sK5 @ Y0)))))) = $false) | ($false = ((^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0)))) @ sK10))),
0.23/0.59	  inference(sigma_clausification,[],[f175])).
0.23/0.59	thf(f175,plain,(
0.23/0.59	  ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0)))))) | (((~ (sK0 @ sK4 @ sK9)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK9 @ Y0)) | (sK5 @ Y0)))))) = $false)),
0.23/0.59	  inference(beta_eta_normalization,[],[f174])).
0.23/0.59	thf(f174,plain,(
0.23/0.59	  (((^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK5 @ Y1))))))) @ sK9) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0))))))),
0.23/0.59	  inference(sigma_clausification,[],[f155])).
0.23/0.59	thf(f155,plain,(
0.23/0.59	  ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK5 @ Y1)))))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0))))))),
0.23/0.59	  inference(binary_proxy_clausification,[],[f154])).
0.23/0.59	thf(f385,plain,(
0.23/0.59	  spl1_16 | spl1_14),
0.23/0.59	  inference(avatar_split_clause,[],[f185,f372,f382])).
0.23/0.59	thf(f185,plain,(
0.23/0.59	  ($true = (sK3 @ sK10)) | ($true = (sK0 @ sK4 @ sK9))),
0.23/0.59	  inference(not_proxy_clausification,[],[f184])).
0.23/0.59	thf(f184,plain,(
0.23/0.59	  ((~ (sK0 @ sK4 @ sK9)) = $false) | ($true = (sK3 @ sK10))),
0.23/0.59	  inference(not_proxy_clausification,[],[f180])).
0.23/0.59	thf(f180,plain,(
0.23/0.59	  ($false = (~ (sK3 @ sK10))) | ((~ (sK0 @ sK4 @ sK9)) = $false)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f179])).
0.23/0.59	thf(f380,plain,(
0.23/0.59	  spl1_15 | spl1_13),
0.23/0.59	  inference(avatar_split_clause,[],[f193,f369,f377])).
0.23/0.59	thf(f193,plain,(
0.23/0.59	  ( ! [X1 : $i] : (((sK0 @ sK2 @ sK10) = $true) | ($true = (sK5 @ X1)) | ((sK0 @ sK9 @ X1) = $false)) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f192])).
0.23/0.59	thf(f192,plain,(
0.23/0.59	  ( ! [X1 : $i] : (($true = (sK5 @ X1)) | ((sK0 @ sK2 @ sK10) = $true) | ($true = (~ (sK0 @ sK9 @ X1)))) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f191])).
0.23/0.59	thf(f191,plain,(
0.23/0.59	  ( ! [X1 : $i] : (((sK0 @ sK2 @ sK10) = $true) | (((~ (sK0 @ sK9 @ X1)) | (sK5 @ X1)) = $true)) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f190])).
0.23/0.59	thf(f190,plain,(
0.23/0.59	  ( ! [X1 : $i] : (((sK0 @ sK2 @ sK10) = $true) | ($true = ((^[Y0 : $i]: ((~ (sK0 @ sK9 @ Y0)) | (sK5 @ Y0))) @ X1))) )),
0.23/0.59	  inference(pi_clausification,[],[f189])).
0.23/0.59	thf(f189,plain,(
0.23/0.59	  ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK9 @ Y0)) | (sK5 @ Y0))))) | ((sK0 @ sK2 @ sK10) = $true)),
0.23/0.59	  inference(not_proxy_clausification,[],[f188])).
0.23/0.59	thf(f188,plain,(
0.23/0.59	  ((~ (sK0 @ sK2 @ sK10)) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK9 @ Y0)) | (sK5 @ Y0)))))),
0.23/0.59	  inference(binary_proxy_clausification,[],[f186])).
0.23/0.59	thf(f186,plain,(
0.23/0.59	  (((~ (sK0 @ sK2 @ sK10)) | (~ (sK3 @ sK10))) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK9 @ Y0)) | (sK5 @ Y0)))))),
0.23/0.59	  inference(not_proxy_clausification,[],[f178])).
0.23/0.59	thf(f178,plain,(
0.23/0.59	  ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK9 @ Y0)) | (sK5 @ Y0))))) = $false) | (((~ (sK0 @ sK2 @ sK10)) | (~ (sK3 @ sK10))) = $false)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f177])).
0.23/0.59	thf(f375,plain,(
0.23/0.59	  spl1_13 | spl1_14),
0.23/0.59	  inference(avatar_split_clause,[],[f198,f372,f369])).
0.23/0.59	thf(f198,plain,(
0.23/0.59	  ( ! [X1 : $i] : (($true = (sK5 @ X1)) | ((sK0 @ sK9 @ X1) = $false) | ($true = (sK3 @ sK10))) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f197])).
0.23/0.59	thf(f197,plain,(
0.23/0.59	  ( ! [X1 : $i] : (($true = (sK5 @ X1)) | ($true = (sK3 @ sK10)) | ($true = (~ (sK0 @ sK9 @ X1)))) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f196])).
0.23/0.59	thf(f196,plain,(
0.23/0.59	  ( ! [X1 : $i] : ((((~ (sK0 @ sK9 @ X1)) | (sK5 @ X1)) = $true) | ($true = (sK3 @ sK10))) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f195])).
0.23/0.59	thf(f195,plain,(
0.23/0.59	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (sK0 @ sK9 @ Y0)) | (sK5 @ Y0))) @ X1)) | ($true = (sK3 @ sK10))) )),
0.23/0.59	  inference(pi_clausification,[],[f194])).
0.23/0.59	thf(f194,plain,(
0.23/0.59	  ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK9 @ Y0)) | (sK5 @ Y0))))) | ($true = (sK3 @ sK10))),
0.23/0.59	  inference(not_proxy_clausification,[],[f187])).
0.23/0.59	thf(f187,plain,(
0.23/0.59	  ($false = (~ (sK3 @ sK10))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK9 @ Y0)) | (sK5 @ Y0)))))),
0.23/0.59	  inference(binary_proxy_clausification,[],[f186])).
0.23/0.59	thf(f367,plain,(
0.23/0.59	  spl1_10 | spl1_12),
0.23/0.59	  inference(avatar_split_clause,[],[f214,f362,f351])).
0.23/0.59	thf(f214,plain,(
0.23/0.59	  ($true = (sK0 @ sK2 @ sK11)) | ($true = (sK0 @ sK12 @ sK14))),
0.23/0.59	  inference(not_proxy_clausification,[],[f213])).
0.23/0.59	thf(f213,plain,(
0.23/0.59	  ($true = (sK0 @ sK2 @ sK11)) | ((~ (sK0 @ sK12 @ sK14)) = $false)),
0.23/0.59	  inference(not_proxy_clausification,[],[f212])).
0.23/0.59	thf(f212,plain,(
0.23/0.59	  ((~ (sK0 @ sK2 @ sK11)) = $false) | ((~ (sK0 @ sK12 @ sK14)) = $false)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f210])).
0.23/0.59	thf(f210,plain,(
0.23/0.59	  (((~ (sK0 @ sK12 @ sK14)) | (sK13 @ sK14)) = $false) | ((~ (sK0 @ sK2 @ sK11)) = $false)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f208])).
0.23/0.59	thf(f208,plain,(
0.23/0.59	  ($false = ((~ (sK0 @ sK2 @ sK11)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0)))))))) | (((~ (sK0 @ sK12 @ sK14)) | (sK13 @ sK14)) = $false)),
0.23/0.59	  inference(beta_eta_normalization,[],[f207])).
0.23/0.59	thf(f207,plain,(
0.23/0.59	  ($false = ((~ (sK0 @ sK2 @ sK11)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0)))))))) | (((^[Y0 : $i]: ((~ (sK0 @ sK12 @ Y0)) | (sK13 @ Y0))) @ sK14) = $false)),
0.23/0.59	  inference(sigma_clausification,[],[f206])).
0.23/0.59	thf(f206,plain,(
0.23/0.59	  ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK12 @ Y0)) | (sK13 @ Y0)))) = $false) | ($false = ((~ (sK0 @ sK2 @ sK11)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0))))))))),
0.23/0.59	  inference(binary_proxy_clausification,[],[f204])).
0.23/0.59	thf(f204,plain,(
0.23/0.59	  (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK12 @ Y0)) | (sK13 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK12 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK13 @ Y1))))))))) = $false) | ($false = ((~ (sK0 @ sK2 @ sK11)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0))))))))),
0.23/0.59	  inference(beta_eta_normalization,[],[f203])).
0.23/0.59	thf(f203,plain,(
0.23/0.59	  ($false = ((~ (sK0 @ sK2 @ sK11)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0)))))))) | ($false = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK12 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK12 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))))) @ sK13))),
0.23/0.59	  inference(sigma_clausification,[],[f202])).
0.23/0.59	thf(f202,plain,(
0.23/0.59	  ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK12 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK12 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))) = $false) | ($false = ((~ (sK0 @ sK2 @ sK11)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0))))))))),
0.23/0.59	  inference(beta_eta_normalization,[],[f201])).
0.23/0.59	thf(f201,plain,(
0.23/0.59	  ($false = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3)))))))))))) @ sK12)) | ($false = ((~ (sK0 @ sK2 @ sK11)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0))))))))),
0.23/0.59	  inference(sigma_clausification,[],[f200])).
0.23/0.59	thf(f200,plain,(
0.23/0.59	  ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))))) = $false) | ($false = ((~ (sK0 @ sK2 @ sK11)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0))))))))),
0.23/0.59	  inference(beta_eta_normalization,[],[f199])).
0.23/0.59	thf(f199,plain,(
0.23/0.59	  ($false = ((^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (~ (sK3 @ Y1)))))))) @ sK11)) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))))) = $false)),
0.23/0.59	  inference(sigma_clausification,[],[f149])).
0.23/0.59	thf(f149,plain,(
0.23/0.59	  ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (~ (sK3 @ Y1))))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))))) = $false)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f148])).
0.23/0.59	thf(f366,plain,(
0.23/0.59	  spl1_10 | spl1_11),
0.23/0.59	  inference(avatar_split_clause,[],[f215,f357,f351])).
0.23/0.59	thf(f215,plain,(
0.23/0.59	  ($true = (sK0 @ sK2 @ sK11)) | ((sK13 @ sK14) = $false)),
0.23/0.59	  inference(not_proxy_clausification,[],[f211])).
0.23/0.59	thf(f211,plain,(
0.23/0.59	  ((sK13 @ sK14) = $false) | ((~ (sK0 @ sK2 @ sK11)) = $false)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f210])).
0.23/0.59	thf(f365,plain,(
0.23/0.59	  spl1_7 | spl1_12),
0.23/0.59	  inference(avatar_split_clause,[],[f224,f362,f339])).
0.23/0.59	thf(f224,plain,(
0.23/0.59	  ( ! [X1 : $i] : (($true = (sK0 @ sK12 @ sK14)) | ((sK0 @ sK11 @ X1) = $false) | ((sK3 @ X1) = $false)) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f223])).
0.23/0.59	thf(f223,plain,(
0.23/0.59	  ( ! [X1 : $i] : (((sK3 @ X1) = $false) | ($true = (~ (sK0 @ sK11 @ X1))) | ($true = (sK0 @ sK12 @ sK14))) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f222])).
0.23/0.59	thf(f222,plain,(
0.23/0.59	  ( ! [X1 : $i] : (($true = (~ (sK3 @ X1))) | ($true = (~ (sK0 @ sK11 @ X1))) | ($true = (sK0 @ sK12 @ sK14))) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f221])).
0.23/0.59	thf(f221,plain,(
0.23/0.59	  ( ! [X1 : $i] : (($true = ((~ (sK0 @ sK11 @ X1)) | (~ (sK3 @ X1)))) | ($true = (sK0 @ sK12 @ sK14))) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f220])).
0.23/0.59	thf(f220,plain,(
0.23/0.59	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0)))) @ X1)) | ($true = (sK0 @ sK12 @ sK14))) )),
0.23/0.59	  inference(pi_clausification,[],[f219])).
0.23/0.59	thf(f219,plain,(
0.23/0.59	  ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0))))) = $true) | ($true = (sK0 @ sK12 @ sK14))),
0.23/0.59	  inference(not_proxy_clausification,[],[f218])).
0.23/0.59	thf(f218,plain,(
0.23/0.59	  ($true = (sK0 @ sK12 @ sK14)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0)))))) = $false)),
0.23/0.59	  inference(not_proxy_clausification,[],[f217])).
0.23/0.59	thf(f217,plain,(
0.23/0.59	  ((~ (sK0 @ sK12 @ sK14)) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0)))))) = $false)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f209])).
0.23/0.59	thf(f209,plain,(
0.23/0.59	  (((~ (sK0 @ sK12 @ sK14)) | (sK13 @ sK14)) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0)))))) = $false)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f208])).
0.23/0.59	thf(f360,plain,(
0.23/0.59	  spl1_11 | spl1_7),
0.23/0.59	  inference(avatar_split_clause,[],[f230,f339,f357])).
0.23/0.59	thf(f230,plain,(
0.23/0.59	  ( ! [X1 : $i] : (((sK13 @ sK14) = $false) | ((sK0 @ sK11 @ X1) = $false) | ((sK3 @ X1) = $false)) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f229])).
0.23/0.59	thf(f229,plain,(
0.23/0.59	  ( ! [X1 : $i] : (((sK0 @ sK11 @ X1) = $false) | ((sK13 @ sK14) = $false) | ($true = (~ (sK3 @ X1)))) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f228])).
0.23/0.59	thf(f228,plain,(
0.23/0.59	  ( ! [X1 : $i] : (($true = (~ (sK0 @ sK11 @ X1))) | ((sK13 @ sK14) = $false) | ($true = (~ (sK3 @ X1)))) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f227])).
0.23/0.59	thf(f227,plain,(
0.23/0.59	  ( ! [X1 : $i] : (((sK13 @ sK14) = $false) | ($true = ((~ (sK0 @ sK11 @ X1)) | (~ (sK3 @ X1))))) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f226])).
0.23/0.59	thf(f226,plain,(
0.23/0.59	  ( ! [X1 : $i] : (((sK13 @ sK14) = $false) | ($true = ((^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0)))) @ X1))) )),
0.23/0.59	  inference(pi_clausification,[],[f225])).
0.23/0.59	thf(f225,plain,(
0.23/0.59	  ((sK13 @ sK14) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0))))) = $true)),
0.23/0.59	  inference(not_proxy_clausification,[],[f216])).
0.23/0.59	thf(f216,plain,(
0.23/0.59	  ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0)))))) = $false) | ((sK13 @ sK14) = $false)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f209])).
0.23/0.59	thf(f355,plain,(
0.23/0.59	  spl1_10 | spl1_9),
0.23/0.59	  inference(avatar_split_clause,[],[f238,f346,f351])).
0.23/0.59	thf(f238,plain,(
0.23/0.59	  ($true = (sK0 @ sK12 @ sK15)) | ($true = (sK0 @ sK2 @ sK11))),
0.23/0.59	  inference(not_proxy_clausification,[],[f237])).
0.23/0.59	thf(f237,plain,(
0.23/0.59	  ((~ (sK0 @ sK12 @ sK15)) = $false) | ($true = (sK0 @ sK2 @ sK11))),
0.23/0.59	  inference(binary_proxy_clausification,[],[f235])).
0.23/0.59	thf(f235,plain,(
0.23/0.59	  ($true = (sK0 @ sK2 @ sK11)) | ($false = ((~ (sK0 @ sK12 @ sK15)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0)))))))),
0.23/0.59	  inference(not_proxy_clausification,[],[f234])).
0.23/0.59	thf(f234,plain,(
0.23/0.59	  ((~ (sK0 @ sK2 @ sK11)) = $false) | ($false = ((~ (sK0 @ sK12 @ sK15)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0)))))))),
0.23/0.59	  inference(binary_proxy_clausification,[],[f232])).
0.23/0.59	thf(f232,plain,(
0.23/0.59	  ($false = ((~ (sK0 @ sK2 @ sK11)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0)))))))) | ($false = ((~ (sK0 @ sK12 @ sK15)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0)))))))),
0.23/0.59	  inference(beta_eta_normalization,[],[f231])).
0.23/0.59	thf(f231,plain,(
0.23/0.59	  (((^[Y0 : $i]: ((~ (sK0 @ sK12 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK13 @ Y1))))))) @ sK15) = $false) | ($false = ((~ (sK0 @ sK2 @ sK11)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0))))))))),
0.23/0.59	  inference(sigma_clausification,[],[f205])).
0.23/0.59	thf(f205,plain,(
0.23/0.59	  ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK12 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK13 @ Y1))))))))) | ($false = ((~ (sK0 @ sK2 @ sK11)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0))))))))),
0.23/0.59	  inference(binary_proxy_clausification,[],[f204])).
0.23/0.59	thf(f354,plain,(
0.23/0.59	  spl1_8 | spl1_10),
0.23/0.59	  inference(avatar_split_clause,[],[f243,f351,f342])).
0.23/0.59	thf(f243,plain,(
0.23/0.59	  ( ! [X1 : $i] : (((sK13 @ X1) = $true) | ((sK0 @ sK15 @ X1) = $false) | ($true = (sK0 @ sK2 @ sK11))) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f242])).
0.23/0.59	thf(f242,plain,(
0.23/0.59	  ( ! [X1 : $i] : (((sK13 @ X1) = $true) | ($true = (~ (sK0 @ sK15 @ X1))) | ($true = (sK0 @ sK2 @ sK11))) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f241])).
0.23/0.59	thf(f241,plain,(
0.23/0.59	  ( ! [X1 : $i] : (($true = ((~ (sK0 @ sK15 @ X1)) | (sK13 @ X1))) | ($true = (sK0 @ sK2 @ sK11))) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f240])).
0.23/0.59	thf(f240,plain,(
0.23/0.59	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0))) @ X1)) | ($true = (sK0 @ sK2 @ sK11))) )),
0.23/0.59	  inference(pi_clausification,[],[f239])).
0.23/0.59	thf(f239,plain,(
0.23/0.59	  ($true = (sK0 @ sK2 @ sK11)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0)))))),
0.23/0.59	  inference(not_proxy_clausification,[],[f236])).
0.23/0.59	thf(f236,plain,(
0.23/0.59	  ($true = (sK0 @ sK2 @ sK11)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0))))) = $false)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f235])).
0.23/0.59	thf(f349,plain,(
0.23/0.59	  spl1_7 | spl1_9),
0.23/0.59	  inference(avatar_split_clause,[],[f252,f346,f339])).
0.23/0.59	thf(f252,plain,(
0.23/0.59	  ( ! [X1 : $i] : (($true = (sK0 @ sK12 @ sK15)) | ((sK0 @ sK11 @ X1) = $false) | ((sK3 @ X1) = $false)) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f251])).
0.23/0.59	thf(f251,plain,(
0.23/0.59	  ( ! [X1 : $i] : (((sK0 @ sK11 @ X1) = $false) | ($true = (~ (sK3 @ X1))) | ($true = (sK0 @ sK12 @ sK15))) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f250])).
0.23/0.59	thf(f250,plain,(
0.23/0.59	  ( ! [X1 : $i] : (((sK0 @ sK11 @ X1) = $false) | ((~ (sK0 @ sK12 @ sK15)) = $false) | ($true = (~ (sK3 @ X1)))) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f249])).
0.23/0.59	thf(f249,plain,(
0.23/0.59	  ( ! [X1 : $i] : (($true = (~ (sK0 @ sK11 @ X1))) | ((~ (sK0 @ sK12 @ sK15)) = $false) | ($true = (~ (sK3 @ X1)))) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f248])).
0.23/0.59	thf(f248,plain,(
0.23/0.59	  ( ! [X1 : $i] : (($true = ((~ (sK0 @ sK11 @ X1)) | (~ (sK3 @ X1)))) | ((~ (sK0 @ sK12 @ sK15)) = $false)) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f247])).
0.23/0.59	thf(f247,plain,(
0.23/0.59	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0)))) @ X1)) | ((~ (sK0 @ sK12 @ sK15)) = $false)) )),
0.23/0.59	  inference(pi_clausification,[],[f246])).
0.23/0.59	thf(f246,plain,(
0.23/0.59	  ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0))))) = $true) | ((~ (sK0 @ sK12 @ sK15)) = $false)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f244])).
0.23/0.59	thf(f244,plain,(
0.23/0.59	  ($false = ((~ (sK0 @ sK12 @ sK15)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0))))))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0))))) = $true)),
0.23/0.59	  inference(not_proxy_clausification,[],[f233])).
0.23/0.59	thf(f233,plain,(
0.23/0.59	  ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0)))))) = $false) | ($false = ((~ (sK0 @ sK12 @ sK15)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0)))))))),
0.23/0.59	  inference(binary_proxy_clausification,[],[f232])).
0.23/0.59	thf(f344,plain,(
0.23/0.59	  spl1_7 | spl1_8),
0.23/0.59	  inference(avatar_split_clause,[],[f262,f342,f339])).
0.23/0.59	thf(f262,plain,(
0.23/0.59	  ( ! [X2 : $i,X1 : $i] : (((sK0 @ sK15 @ X2) = $false) | ((sK3 @ X1) = $false) | ($true = (sK13 @ X2)) | ((sK0 @ sK11 @ X1) = $false)) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f261])).
0.23/0.59	thf(f261,plain,(
0.23/0.59	  ( ! [X2 : $i,X1 : $i] : (($true = (sK13 @ X2)) | ((sK3 @ X1) = $false) | ($true = (~ (sK0 @ sK15 @ X2))) | ((sK0 @ sK11 @ X1) = $false)) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f260])).
0.23/0.59	thf(f260,plain,(
0.23/0.59	  ( ! [X2 : $i,X1 : $i] : (((sK0 @ sK11 @ X1) = $false) | ((sK3 @ X1) = $false) | ($true = ((~ (sK0 @ sK15 @ X2)) | (sK13 @ X2)))) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f259])).
0.23/0.59	thf(f259,plain,(
0.23/0.59	  ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0))) @ X2)) | ((sK3 @ X1) = $false) | ((sK0 @ sK11 @ X1) = $false)) )),
0.23/0.59	  inference(pi_clausification,[],[f258])).
0.23/0.59	thf(f258,plain,(
0.23/0.59	  ( ! [X1 : $i] : (((sK0 @ sK11 @ X1) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0))))) | ((sK3 @ X1) = $false)) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f257])).
0.23/0.59	thf(f257,plain,(
0.23/0.59	  ( ! [X1 : $i] : (($true = (~ (sK0 @ sK11 @ X1))) | ((sK3 @ X1) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0)))))) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f256])).
0.23/0.59	thf(f256,plain,(
0.23/0.59	  ( ! [X1 : $i] : (($true = (~ (sK3 @ X1))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0))))) | ($true = (~ (sK0 @ sK11 @ X1)))) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f255])).
0.23/0.59	thf(f255,plain,(
0.23/0.59	  ( ! [X1 : $i] : (($true = ((~ (sK0 @ sK11 @ X1)) | (~ (sK3 @ X1)))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0)))))) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f254])).
0.23/0.59	thf(f254,plain,(
0.23/0.59	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0)))) @ X1)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0)))))) )),
0.23/0.59	  inference(pi_clausification,[],[f253])).
0.23/0.59	thf(f253,plain,(
0.23/0.59	  ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0))))) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0)))))),
0.23/0.59	  inference(not_proxy_clausification,[],[f245])).
0.23/0.59	thf(f245,plain,(
0.23/0.59	  ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (~ (sK3 @ Y0))))) = $true)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f244])).
0.23/0.59	thf(f337,plain,(
0.23/0.59	  spl1_6 | spl1_5),
0.23/0.59	  inference(avatar_split_clause,[],[f301,f331,f335])).
0.23/0.59	thf(f301,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((X3 @ X7) = $true) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X2 @ X5) = $false) | ((X4 @ X6) = $false) | ($true = (sK0 @ X5 @ (sK16 @ X5 @ X4))) | ((sK0 @ X1 @ X7) = $false) | ((sK0 @ X1 @ X8) = $false) | ($true = (sK0 @ X8 @ (sK17 @ X3 @ X8)))) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f300])).
0.23/0.59	thf(f300,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((sK0 @ X1 @ X7) = $false) | ((sK0 @ X2 @ X5) = $false) | ((X4 @ X6) = $false) | ((~ (sK0 @ X8 @ (sK17 @ X3 @ X8))) = $false) | ((X3 @ X7) = $true) | ((sK0 @ X1 @ X8) = $false) | ($true = (sK0 @ X5 @ (sK16 @ X5 @ X4))) | ((sK0 @ X2 @ X6) = $false)) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f298])).
0.23/0.59	thf(f298,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((sK0 @ X2 @ X5) = $false) | ($true = (sK0 @ X5 @ (sK16 @ X5 @ X4))) | ((X3 @ X7) = $true) | ((sK0 @ X1 @ X7) = $false) | ((sK0 @ X2 @ X6) = $false) | (((~ (sK0 @ X8 @ (sK17 @ X3 @ X8))) | (X3 @ (sK17 @ X3 @ X8))) = $false) | ((sK0 @ X1 @ X8) = $false) | ((X4 @ X6) = $false)) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f297])).
0.23/0.59	thf(f297,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((sK0 @ X2 @ X5) = $false) | ((X3 @ X7) = $true) | (((^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0))) @ (sK17 @ X3 @ X8)) = $false) | ($true = (sK0 @ X5 @ (sK16 @ X5 @ X4))) | ((sK0 @ X1 @ X7) = $false) | ((sK0 @ X1 @ X8) = $false) | ((X4 @ X6) = $false) | ((sK0 @ X2 @ X6) = $false)) )),
0.23/0.59	  inference(sigma_clausification,[],[f296])).
0.23/0.59	thf(f296,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((X3 @ X7) = $true) | ($true = (sK0 @ X5 @ (sK16 @ X5 @ X4))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0))))) | ((X4 @ X6) = $false) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X2 @ X5) = $false) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X1 @ X7) = $false)) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f295])).
0.23/0.59	thf(f295,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((X4 @ X6) = $false) | ($true = (sK0 @ X5 @ (sK16 @ X5 @ X4))) | ($true = (~ (sK0 @ X1 @ X8))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0))))) | ((X3 @ X7) = $true) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X1 @ X7) = $false) | ((sK0 @ X2 @ X5) = $false)) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f294])).
0.23/0.59	thf(f294,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((sK0 @ X2 @ X6) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0))))) = $true) | ((X3 @ X7) = $true) | ($true = (sK0 @ X5 @ (sK16 @ X5 @ X4))) | ((sK0 @ X1 @ X7) = $false) | ((X4 @ X6) = $false) | ((sK0 @ X2 @ X5) = $false) | ($true = (~ (sK0 @ X1 @ X8)))) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f293])).
0.23/0.59	thf(f293,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (($true = (sK0 @ X5 @ (sK16 @ X5 @ X4))) | ((sK0 @ X1 @ X7) = $false) | ((X3 @ X7) = $true) | ((X4 @ X6) = $false) | ((sK0 @ X2 @ X5) = $false) | ((sK0 @ X2 @ X6) = $false) | ($true = ((~ (sK0 @ X1 @ X8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0)))))))) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f292])).
0.23/0.59	thf(f292,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : ((((^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1))))))) @ X8) = $true) | ((X4 @ X6) = $false) | ((sK0 @ X2 @ X6) = $false) | ($true = (sK0 @ X5 @ (sK16 @ X5 @ X4))) | ((sK0 @ X2 @ X5) = $false) | ((sK0 @ X1 @ X7) = $false) | ((X3 @ X7) = $true)) )),
0.23/0.59	  inference(pi_clausification,[],[f291])).
0.23/0.59	thf(f291,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((sK0 @ X2 @ X5) = $false) | ($true = (sK0 @ X5 @ (sK16 @ X5 @ X4))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1))))))))) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X1 @ X7) = $false) | ((X4 @ X6) = $false) | ((X3 @ X7) = $true)) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f290])).
0.23/0.59	thf(f290,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((X4 @ X6) = $false) | ((sK0 @ X1 @ X7) = $false) | ((X3 @ X7) = $true) | ((sK0 @ X2 @ X5) = $false) | ((sK0 @ X2 @ X6) = $false) | ((~ (sK0 @ X5 @ (sK16 @ X5 @ X4))) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1)))))))))) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f289])).
0.23/0.59	thf(f289,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((X4 @ X6) = $false) | ((~ (sK0 @ X1 @ X7)) = $true) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X2 @ X5) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1))))))))) | ((X3 @ X7) = $true) | ((~ (sK0 @ X5 @ (sK16 @ X5 @ X4))) = $false)) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f287])).
0.23/0.59	thf(f287,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((sK0 @ X2 @ X6) = $false) | (((~ (sK0 @ X5 @ (sK16 @ X5 @ X4))) | (~ (X4 @ (sK16 @ X5 @ X4)))) = $false) | ((X4 @ X6) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1))))))))) | ((~ (sK0 @ X1 @ X7)) = $true) | ((X3 @ X7) = $true) | ((sK0 @ X2 @ X5) = $false)) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f286])).
0.23/0.59	thf(f286,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (($true = ((~ (sK0 @ X1 @ X7)) | (X3 @ X7))) | ((sK0 @ X2 @ X6) = $false) | (((~ (sK0 @ X5 @ (sK16 @ X5 @ X4))) | (~ (X4 @ (sK16 @ X5 @ X4)))) = $false) | ((sK0 @ X2 @ X5) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1))))))))) | ((X4 @ X6) = $false)) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f285])).
0.23/0.59	thf(f285,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((X4 @ X6) = $false) | ((sK0 @ X2 @ X6) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1))))))))) | (((^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0))) @ X7) = $true) | ((sK0 @ X2 @ X5) = $false) | (((~ (sK0 @ X5 @ (sK16 @ X5 @ X4))) | (~ (X4 @ (sK16 @ X5 @ X4)))) = $false)) )),
0.23/0.59	  inference(pi_clausification,[],[f284])).
0.23/0.59	thf(f284,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X4 : $i > $o,X5 : $i] : (((sK0 @ X2 @ X5) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0))))) | ((X4 @ X6) = $false) | ((sK0 @ X2 @ X6) = $false) | (((~ (sK0 @ X5 @ (sK16 @ X5 @ X4))) | (~ (X4 @ (sK16 @ X5 @ X4)))) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1)))))))))) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f283])).
0.23/0.59	thf(f283,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X4 : $i > $o,X5 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1)))))))))) | ((X4 @ X6) = $false) | ((sK0 @ X2 @ X5) = $false) | (((~ (sK0 @ X5 @ (sK16 @ X5 @ X4))) | (~ (X4 @ (sK16 @ X5 @ X4)))) = $false) | ((sK0 @ X2 @ X6) = $false)) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f282])).
0.23/0.59	thf(f282,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X4 : $i > $o,X5 : $i] : ((((^[Y0 : $i]: ((~ (sK0 @ X5 @ Y0)) | (~ (X4 @ Y0)))) @ (sK16 @ X5 @ X4)) = $false) | ((sK0 @ X2 @ X5) = $false) | ((sK0 @ X2 @ X6) = $false) | ((X4 @ X6) = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1))))))))))) )),
0.23/0.59	  inference(sigma_clausification,[],[f281])).
0.23/0.59	thf(f281,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X4 : $i > $o,X5 : $i] : (((sK0 @ X2 @ X6) = $false) | ((X4 @ X6) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X5 @ Y0)) | (~ (X4 @ Y0))))) = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1)))))))))) | ((sK0 @ X2 @ X5) = $false)) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f280])).
0.23/0.59	thf(f280,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X4 : $i > $o,X5 : $i] : (($true = (~ (sK0 @ X2 @ X6))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1)))))))))) | ((X4 @ X6) = $false) | ((sK0 @ X2 @ X5) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X5 @ Y0)) | (~ (X4 @ Y0))))) = $false)) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f279])).
0.23/0.59	thf(f279,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X4 : $i > $o,X5 : $i] : (((sK0 @ X2 @ X5) = $false) | ((~ (X4 @ X6)) = $true) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1)))))))))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X5 @ Y0)) | (~ (X4 @ Y0))))) = $false) | ($true = (~ (sK0 @ X2 @ X6)))) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f278])).
0.23/0.59	thf(f278,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X4 : $i > $o,X5 : $i] : (($true = (~ (sK0 @ X2 @ X5))) | ($true = (~ (sK0 @ X2 @ X6))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1)))))))))) | ((~ (X4 @ X6)) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X5 @ Y0)) | (~ (X4 @ Y0))))) = $false)) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f277])).
0.23/0.59	thf(f277,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X4 : $i > $o,X5 : $i] : (($true = ((~ (sK0 @ X2 @ X6)) | (~ (X4 @ X6)))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1)))))))))) | ($true = (~ (sK0 @ X2 @ X5))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X5 @ Y0)) | (~ (X4 @ Y0))))) = $false)) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f276])).
0.23/0.59	thf(f276,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X4 : $i > $o,X5 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X5 @ Y0)) | (~ (X4 @ Y0))))))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1)))))))))) | ($true = ((~ (sK0 @ X2 @ X6)) | (~ (X4 @ X6)))) | ($true = (~ (sK0 @ X2 @ X5)))) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f275])).
0.23/0.59	thf(f275,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X4 : $i > $o,X5 : $i] : (($true = ((~ (sK0 @ X2 @ X5)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X5 @ Y0)) | (~ (X4 @ Y0)))))))) | ($true = ((~ (sK0 @ X2 @ X6)) | (~ (X4 @ X6)))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1))))))))))) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f274])).
0.23/0.59	thf(f274,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X4 : $i > $o,X5 : $i] : (($true = ((~ (sK0 @ X2 @ X5)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X5 @ Y0)) | (~ (X4 @ Y0)))))))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1)))))))))) | ($true = ((^[Y0 : $i]: ((~ (sK0 @ X2 @ Y0)) | (~ (X4 @ Y0)))) @ X6))) )),
0.23/0.59	  inference(pi_clausification,[],[f273])).
0.23/0.59	thf(f273,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X4 : $i > $o,X5 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X2 @ Y0)) | (~ (X4 @ Y0)))))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1)))))))))) | ($true = ((~ (sK0 @ X2 @ X5)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X5 @ Y0)) | (~ (X4 @ Y0))))))))) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f272])).
0.23/0.59	thf(f272,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X4 : $i > $o,X5 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X2 @ Y0)) | (~ (X4 @ Y0)))))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1)))))))))) | (((^[Y0 : $i]: ((~ (sK0 @ X2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (~ (X4 @ Y1)))))))) @ X5) = $true)) )),
0.23/0.59	  inference(pi_clausification,[],[f271])).
0.23/0.59	thf(f271,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X4 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (~ (X4 @ Y1))))))))) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X2 @ Y0)) | (~ (X4 @ Y0)))))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1))))))))))) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f270])).
0.23/0.59	thf(f270,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X4 : $i > $o] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X2 @ Y0)) | (~ (X4 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (~ (X4 @ Y1))))))))))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1))))))))))) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f269])).
0.23/0.59	thf(f269,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X4 : $i > $o] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X2 @ Y1)) | (~ (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (~ (Y0 @ Y2))))))))))) @ X4) = $true) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1))))))))))) )),
0.23/0.59	  inference(pi_clausification,[],[f268])).
0.23/0.59	thf(f268,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X2 @ Y1)) | (~ (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (~ (Y0 @ Y2))))))))))))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1))))))))))) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f267])).
0.23/0.59	thf(f267,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X2 @ Y1)) | (~ (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (~ (Y0 @ Y2))))))))))))) | ($true = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))))) @ X3))) )),
0.23/0.59	  inference(pi_clausification,[],[f266])).
0.23/0.59	thf(f266,plain,(
0.23/0.59	  ( ! [X2 : $i,X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))))))) | ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X2 @ Y1)) | (~ (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (~ (Y0 @ Y2)))))))))))))) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f265])).
0.23/0.59	thf(f265,plain,(
0.23/0.59	  ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))))))) @ X2)) | ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))))) )),
0.23/0.59	  inference(pi_clausification,[],[f264])).
0.23/0.59	thf(f264,plain,(
0.23/0.59	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))) = $true) | ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))))) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f263])).
0.23/0.59	thf(f263,plain,(
0.23/0.59	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))) = $true) | ($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3)))))))))))) @ X1))) )),
0.23/0.59	  inference(pi_clausification,[],[f143])).
0.23/0.59	thf(f143,plain,(
0.23/0.59	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3)))))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))) = $true)),
0.23/0.59	  inference(binary_proxy_clausification,[],[f142])).
0.23/0.59	thf(f333,plain,(
0.23/0.59	  spl1_4 | spl1_5),
0.23/0.59	  inference(avatar_split_clause,[],[f299,f331,f328])).
0.23/0.59	thf(f299,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (($true = (sK0 @ X5 @ (sK16 @ X5 @ X4))) | ((X3 @ (sK17 @ X3 @ X8)) = $false) | ((X3 @ X7) = $true) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X2 @ X5) = $false) | ((X4 @ X6) = $false) | ((sK0 @ X1 @ X7) = $false)) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f298])).
0.23/0.59	thf(f326,plain,(
0.23/0.59	  spl1_1 | spl1_3),
0.23/0.59	  inference(avatar_split_clause,[],[f313,f324,f317])).
0.23/0.59	thf(f313,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((X4 @ X6) = $false) | ((X3 @ X7) = $true) | ((sK0 @ X1 @ X7) = $false) | ((sK0 @ X2 @ X5) = $false) | ($true = (X4 @ (sK16 @ X5 @ X4))) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X8 @ (sK18 @ X3 @ X8)) = $true) | ((sK0 @ X1 @ X8) = $false)) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f312])).
0.23/0.59	thf(f312,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((X4 @ X6) = $false) | ((~ (sK0 @ X8 @ (sK18 @ X3 @ X8))) = $false) | ((sK0 @ X2 @ X5) = $false) | ((sK0 @ X1 @ X7) = $false) | ((X3 @ X7) = $true) | ($true = (X4 @ (sK16 @ X5 @ X4))) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X1 @ X8) = $false)) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f311])).
0.23/0.59	thf(f311,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((sK0 @ X1 @ X8) = $false) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X2 @ X5) = $false) | ((sK0 @ X1 @ X7) = $false) | ((~ (X4 @ (sK16 @ X5 @ X4))) = $false) | ((~ (sK0 @ X8 @ (sK18 @ X3 @ X8))) = $false) | ((X3 @ X7) = $true) | ((X4 @ X6) = $false)) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f310])).
0.23/0.59	thf(f310,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((sK0 @ X2 @ X6) = $false) | ((X4 @ X6) = $false) | ((sK0 @ X2 @ X5) = $false) | ($true = (~ (sK0 @ X1 @ X8))) | ((sK0 @ X1 @ X7) = $false) | ((X3 @ X7) = $true) | ((~ (X4 @ (sK16 @ X5 @ X4))) = $false) | ((~ (sK0 @ X8 @ (sK18 @ X3 @ X8))) = $false)) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f308])).
0.23/0.59	thf(f308,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : ((((~ (sK0 @ X8 @ (sK18 @ X3 @ X8))) | (X3 @ (sK18 @ X3 @ X8))) = $false) | ((sK0 @ X2 @ X5) = $false) | ((X4 @ X6) = $false) | ((X3 @ X7) = $true) | ((sK0 @ X2 @ X6) = $false) | ((~ (X4 @ (sK16 @ X5 @ X4))) = $false) | ((sK0 @ X1 @ X7) = $false) | ($true = (~ (sK0 @ X1 @ X8)))) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f307])).
0.23/0.59	thf(f307,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((sK0 @ X1 @ X7) = $false) | ((~ (X4 @ (sK16 @ X5 @ X4))) = $false) | (((^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0))) @ (sK18 @ X3 @ X8)) = $false) | ($true = (~ (sK0 @ X1 @ X8))) | ((sK0 @ X2 @ X5) = $false) | ((X4 @ X6) = $false) | ((sK0 @ X2 @ X6) = $false) | ((X3 @ X7) = $true)) )),
0.23/0.59	  inference(sigma_clausification,[],[f306])).
0.23/0.59	thf(f306,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0))))) | ((sK0 @ X1 @ X7) = $false) | ((sK0 @ X2 @ X5) = $false) | ($true = (~ (sK0 @ X1 @ X8))) | ((~ (X4 @ (sK16 @ X5 @ X4))) = $false) | ((X4 @ X6) = $false) | ((sK0 @ X2 @ X6) = $false) | ((X3 @ X7) = $true)) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f305])).
0.23/0.59	thf(f305,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0))))) = $true) | ((sK0 @ X1 @ X7) = $false) | ((sK0 @ X2 @ X5) = $false) | ((X3 @ X7) = $true) | ((sK0 @ X2 @ X6) = $false) | ((X4 @ X6) = $false) | ((~ (X4 @ (sK16 @ X5 @ X4))) = $false) | ($true = (~ (sK0 @ X1 @ X8)))) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f304])).
0.23/0.59	thf(f304,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (($true = ((~ (sK0 @ X1 @ X8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0))))))) | ((sK0 @ X1 @ X7) = $false) | ((X3 @ X7) = $true) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X2 @ X5) = $false) | ((X4 @ X6) = $false) | ((~ (X4 @ (sK16 @ X5 @ X4))) = $false)) )),
0.23/0.59	  inference(beta_eta_normalization,[],[f303])).
0.23/0.59	thf(f303,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((sK0 @ X2 @ X6) = $false) | ((sK0 @ X1 @ X7) = $false) | ((~ (X4 @ (sK16 @ X5 @ X4))) = $false) | ((sK0 @ X2 @ X5) = $false) | ((X4 @ X6) = $false) | ((X3 @ X7) = $true) | (((^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1))))))) @ X8) = $true)) )),
0.23/0.59	  inference(pi_clausification,[],[f302])).
0.23/0.59	thf(f302,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((sK0 @ X2 @ X5) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1))))))))) | ((sK0 @ X1 @ X7) = $false) | ((X3 @ X7) = $true) | ((X4 @ X6) = $false) | ((~ (X4 @ (sK16 @ X5 @ X4))) = $false) | ((sK0 @ X2 @ X6) = $false)) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f288])).
0.23/0.59	thf(f288,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((sK0 @ X2 @ X5) = $false) | ((X4 @ X6) = $false) | ((~ (sK0 @ X1 @ X7)) = $true) | ((~ (X4 @ (sK16 @ X5 @ X4))) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1))))))))) | ((sK0 @ X2 @ X6) = $false) | ((X3 @ X7) = $true)) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f287])).
0.23/0.59	thf(f322,plain,(
0.23/0.59	  spl1_1 | spl1_2),
0.23/0.59	  inference(avatar_split_clause,[],[f315,f320,f317])).
0.23/0.59	thf(f315,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((X3 @ X7) = $true) | ((X4 @ X6) = $false) | ($true = (X4 @ (sK16 @ X5 @ X4))) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X2 @ X5) = $false) | ((X3 @ (sK18 @ X3 @ X8)) = $false) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X1 @ X7) = $false)) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f314])).
0.23/0.59	thf(f314,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (($true = (~ (sK0 @ X1 @ X8))) | ($true = (X4 @ (sK16 @ X5 @ X4))) | ((X3 @ X7) = $true) | ((sK0 @ X2 @ X5) = $false) | ((X3 @ (sK18 @ X3 @ X8)) = $false) | ((sK0 @ X2 @ X6) = $false) | ((X4 @ X6) = $false) | ((sK0 @ X1 @ X7) = $false)) )),
0.23/0.59	  inference(not_proxy_clausification,[],[f309])).
0.23/0.59	thf(f309,plain,(
0.23/0.59	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((sK0 @ X2 @ X6) = $false) | ((~ (X4 @ (sK16 @ X5 @ X4))) = $false) | ($true = (~ (sK0 @ X1 @ X8))) | ((X3 @ (sK18 @ X3 @ X8)) = $false) | ((X3 @ X7) = $true) | ((X4 @ X6) = $false) | ((sK0 @ X1 @ X7) = $false) | ((sK0 @ X2 @ X5) = $false)) )),
0.23/0.59	  inference(binary_proxy_clausification,[],[f308])).
0.23/0.59	% SZS output end Proof for E---3.1_13119
0.23/0.59	% (13254)------------------------------
0.23/0.59	% (13254)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.59	% (13254)Termination reason: Refutation
0.23/0.59	
0.23/0.59	% (13254)Memory used [KB]: 6652
0.23/0.59	% (13254)Time elapsed: 0.085 s
0.23/0.59	% (13254)Instructions burned: 194 (million)
0.23/0.59	% (13254)------------------------------
0.23/0.59	% (13254)------------------------------
0.23/0.59	% (13226)Success in time 0.2 s
0.23/0.59	EOF