0.05/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.05/0.11	% Command    : run_vampire %s %d THM
0.10/0.32	% Computer : n019.cluster.edu
0.10/0.32	% Model    : x86_64 x86_64
0.10/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.32	% Memory   : 8042.1875MB
0.10/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.10/0.32	% CPULimit   : 1440
0.10/0.32	% WCLimit    : 180
0.10/0.32	% DateTime   : Thu Jul  4 07:31:24 EDT 2024
0.10/0.32	% CPUTime    : 
0.10/0.33	This is a THF_ problem
0.10/0.33	Running higher-order theorem proving
0.10/0.34	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.LwOLnd0O4M/E---3.1_25266.p -m 16384 -t 180
0.10/0.35	% (25375)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_25266 for (1800ds/183Mi)
0.10/0.35	% (25380)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_25266 for (1800ds/275Mi)
0.10/0.35	% (25377)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_25266 for (1800ds/27Mi)
0.10/0.35	% (25381)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_25266 for (1800ds/18Mi)
0.10/0.35	% (25379)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_25266 for (1800ds/2Mi)
0.10/0.35	% (25376)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_25266 for (1800ds/4Mi)
0.10/0.35	% (25380)Refutation not found, incomplete strategy
0.10/0.35	% (25380)------------------------------
0.10/0.35	% (25380)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.35	% (25380)Termination reason: Refutation not found, incomplete strategy
0.10/0.35	
0.10/0.35	
0.10/0.35	% (25380)Memory used [KB]: 5500
0.10/0.35	% (25380)Time elapsed: 0.002 s
0.10/0.35	% (25380)Instructions burned: 1 (million)
0.10/0.35	% (25380)------------------------------
0.10/0.35	% (25380)------------------------------
0.10/0.35	% (25377)Refutation not found, incomplete strategy
0.10/0.35	% (25377)------------------------------
0.10/0.35	% (25377)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.35	% (25377)Termination reason: Refutation not found, incomplete strategy
0.10/0.35	
0.10/0.35	
0.10/0.35	% (25377)Memory used [KB]: 5500
0.10/0.35	% (25377)Time elapsed: 0.002 s
0.10/0.35	% (25377)Instructions burned: 1 (million)
0.10/0.35	% (25377)------------------------------
0.10/0.35	% (25377)------------------------------
0.10/0.35	% (25376)Instruction limit reached!
0.10/0.35	% (25376)------------------------------
0.10/0.35	% (25376)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.35	% (25376)Termination reason: Unknown
0.10/0.35	% (25376)Termination phase: Saturation
0.10/0.35	
0.10/0.35	% (25376)Memory used [KB]: 5500
0.10/0.35	% (25376)Time elapsed: 0.003 s
0.10/0.35	% (25376)Instructions burned: 4 (million)
0.10/0.35	% (25376)------------------------------
0.10/0.35	% (25376)------------------------------
0.10/0.35	% (25379)Instruction limit reached!
0.10/0.35	% (25379)------------------------------
0.10/0.35	% (25379)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.35	% (25379)Termination reason: Unknown
0.10/0.35	% (25379)Termination phase: Saturation
0.10/0.35	
0.10/0.35	% (25379)Memory used [KB]: 5500
0.10/0.35	% (25379)Time elapsed: 0.003 s
0.10/0.35	% (25379)Instructions burned: 4 (million)
0.10/0.35	% (25379)------------------------------
0.10/0.35	% (25379)------------------------------
0.10/0.35	% (25381)Instruction limit reached!
0.10/0.35	% (25381)------------------------------
0.10/0.35	% (25381)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.35	% (25381)Termination reason: Unknown
0.10/0.35	% (25381)Termination phase: Saturation
0.10/0.35	
0.10/0.35	% (25381)Memory used [KB]: 5628
0.10/0.35	% (25381)Time elapsed: 0.007 s
0.10/0.35	% (25381)Instructions burned: 19 (million)
0.10/0.35	% (25381)------------------------------
0.10/0.35	% (25381)------------------------------
0.10/0.35	% (25378)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_25266 for (1800ds/2Mi)
0.10/0.35	% (25378)Instruction limit reached!
0.10/0.35	% (25378)------------------------------
0.10/0.35	% (25378)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.35	% (25378)Termination reason: Unknown
0.10/0.35	% (25378)Termination phase: Saturation
0.10/0.35	
0.10/0.35	% (25378)Memory used [KB]: 5500
0.10/0.35	% (25378)Time elapsed: 0.004 s
0.10/0.35	% (25378)Instructions burned: 2 (million)
0.10/0.35	% (25378)------------------------------
0.10/0.35	% (25378)------------------------------
0.10/0.36	% (25382)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_25266 for (1799ds/3Mi)
0.10/0.36	% (25383)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_25266 for (1799ds/37Mi)
0.10/0.36	% (25384)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_25266 for (1799ds/15Mi)
0.10/0.36	% (25385)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_25266 for (1799ds/3Mi)
0.10/0.36	% (25382)Instruction limit reached!
0.10/0.36	% (25382)------------------------------
0.10/0.36	% (25382)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.36	% (25382)Termination reason: Unknown
0.10/0.36	% (25382)Termination phase: Saturation
0.10/0.36	
0.10/0.36	% (25382)Memory used [KB]: 5500
0.10/0.36	% (25382)Time elapsed: 0.002 s
0.10/0.36	% (25382)Instructions burned: 3 (million)
0.10/0.36	% (25382)------------------------------
0.10/0.36	% (25382)------------------------------
0.10/0.36	% (25384)Refutation not found, incomplete strategy
0.10/0.36	% (25384)------------------------------
0.10/0.36	% (25384)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.36	% (25384)Termination reason: Refutation not found, incomplete strategy
0.10/0.36	
0.10/0.36	
0.10/0.36	% (25384)Memory used [KB]: 5500
0.10/0.36	% (25384)Time elapsed: 0.002 s
0.10/0.36	% (25384)Instructions burned: 2 (million)
0.10/0.36	% (25384)------------------------------
0.10/0.36	% (25384)------------------------------
0.10/0.36	% (25385)Instruction limit reached!
0.10/0.36	% (25385)------------------------------
0.10/0.36	% (25385)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.36	% (25385)Termination reason: Unknown
0.10/0.36	% (25385)Termination phase: Saturation
0.10/0.36	
0.10/0.36	% (25385)Memory used [KB]: 5500
0.10/0.36	% (25385)Time elapsed: 0.003 s
0.10/0.36	% (25385)Instructions burned: 6 (million)
0.10/0.36	% (25385)------------------------------
0.10/0.36	% (25385)------------------------------
0.10/0.36	% (25386)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_25266 for (1799ds/1041Mi)
0.10/0.36	% (25383)Refutation not found, incomplete strategy
0.10/0.36	% (25383)------------------------------
0.10/0.36	% (25383)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.36	% (25383)Termination reason: Refutation not found, incomplete strategy
0.10/0.36	
0.10/0.36	
0.10/0.36	% (25383)Memory used [KB]: 5628
0.10/0.36	% (25383)Time elapsed: 0.005 s
0.10/0.36	% (25383)Instructions burned: 13 (million)
0.10/0.36	% (25383)------------------------------
0.10/0.36	% (25383)------------------------------
0.10/0.36	% (25386)Refutation not found, incomplete strategy
0.10/0.36	% (25386)------------------------------
0.10/0.36	% (25386)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.36	% (25386)Termination reason: Refutation not found, incomplete strategy
0.10/0.36	
0.10/0.36	
0.10/0.36	% (25386)Memory used [KB]: 5500
0.10/0.36	% (25386)Time elapsed: 0.003 s
0.10/0.36	% (25386)Instructions burned: 5 (million)
0.10/0.36	% (25386)------------------------------
0.10/0.36	% (25386)------------------------------
0.10/0.37	% (25388)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_25266 for (1799ds/16Mi)
0.10/0.37	% (25389)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_25266 for (1799ds/3Mi)
0.10/0.37	% (25390)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_25266 for (1799ds/3Mi)
0.10/0.37	% (25389)Instruction limit reached!
0.10/0.37	% (25389)------------------------------
0.10/0.37	% (25389)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.37	% (25389)Termination reason: Unknown
0.10/0.37	% (25389)Termination phase: Saturation
0.10/0.37	
0.10/0.37	% (25389)Memory used [KB]: 5500
0.10/0.37	% (25389)Time elapsed: 0.002 s
0.10/0.37	% (25389)Instructions burned: 3 (million)
0.10/0.37	% (25389)------------------------------
0.10/0.37	% (25389)------------------------------
0.10/0.37	% (25390)Instruction limit reached!
0.10/0.37	% (25390)------------------------------
0.10/0.37	% (25390)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.37	% (25390)Termination reason: Unknown
0.10/0.37	% (25390)Termination phase: Saturation
0.10/0.37	
0.10/0.37	% (25390)Memory used [KB]: 1023
0.10/0.37	% (25390)Time elapsed: 0.002 s
0.10/0.37	% (25390)Instructions burned: 3 (million)
0.10/0.37	% (25390)------------------------------
0.10/0.37	% (25390)------------------------------
0.10/0.37	% (25391)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_25266 for (1799ds/7Mi)
0.10/0.37	% (25391)Refutation not found, incomplete strategy
0.10/0.37	% (25391)------------------------------
0.10/0.37	% (25391)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.37	% (25391)Termination reason: Refutation not found, incomplete strategy
0.10/0.37	
0.10/0.37	
0.10/0.37	% (25391)Memory used [KB]: 5500
0.10/0.37	% (25391)Time elapsed: 0.001 s
0.10/0.37	% (25391)------------------------------
0.10/0.37	% (25391)------------------------------
0.10/0.37	% (25387)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_25266 for (1799ds/7Mi)
0.10/0.37	% (25388)Instruction limit reached!
0.10/0.37	% (25388)------------------------------
0.10/0.37	% (25388)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.37	% (25388)Termination reason: Unknown
0.10/0.37	% (25388)Termination phase: Saturation
0.10/0.37	
0.10/0.37	% (25388)Memory used [KB]: 5628
0.10/0.37	% (25388)Time elapsed: 0.007 s
0.10/0.37	% (25388)Instructions burned: 17 (million)
0.10/0.37	% (25388)------------------------------
0.10/0.37	% (25388)------------------------------
0.10/0.37	% (25392)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_25266 for (1799ds/3Mi)
0.10/0.37	% (25392)Instruction limit reached!
0.10/0.37	% (25392)------------------------------
0.10/0.37	% (25392)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.37	% (25392)Termination reason: Unknown
0.10/0.37	% (25392)Termination phase: Saturation
0.10/0.37	
0.10/0.37	% (25392)Memory used [KB]: 5500
0.10/0.37	% (25392)Time elapsed: 0.003 s
0.10/0.37	% (25392)Instructions burned: 5 (million)
0.10/0.37	% (25392)------------------------------
0.10/0.37	% (25392)------------------------------
0.10/0.38	% (25387)Instruction limit reached!
0.10/0.38	% (25387)------------------------------
0.10/0.38	% (25387)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.38	% (25387)Termination reason: Unknown
0.10/0.38	% (25387)Termination phase: Saturation
0.10/0.38	
0.10/0.38	% (25387)Memory used [KB]: 1023
0.10/0.38	% (25387)Time elapsed: 0.007 s
0.10/0.38	% (25387)Instructions burned: 7 (million)
0.10/0.38	% (25387)------------------------------
0.10/0.38	% (25387)------------------------------
0.10/0.38	% (25393)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_25266 for (1799ds/4Mi)
0.10/0.38	% (25394)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_25266 for (1799ds/18Mi)
0.10/0.38	% (25394)Refutation not found, incomplete strategy
0.10/0.38	% (25394)------------------------------
0.10/0.38	% (25394)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.38	% (25394)Termination reason: Refutation not found, incomplete strategy
0.10/0.38	
0.10/0.38	
0.10/0.38	% (25394)Memory used [KB]: 5500
0.10/0.38	% (25394)Time elapsed: 0.002 s
0.10/0.38	% (25394)Instructions burned: 2 (million)
0.10/0.38	% (25394)------------------------------
0.10/0.38	% (25394)------------------------------
0.10/0.38	% (25393)Instruction limit reached!
0.10/0.38	% (25393)------------------------------
0.10/0.38	% (25393)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.38	% (25393)Termination reason: Unknown
0.10/0.38	% (25393)Termination phase: Saturation
0.10/0.38	
0.10/0.38	% (25393)Memory used [KB]: 5500
0.10/0.38	% (25393)Time elapsed: 0.003 s
0.10/0.38	% (25393)Instructions burned: 4 (million)
0.10/0.38	% (25393)------------------------------
0.10/0.38	% (25393)------------------------------
0.10/0.38	% (25395)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_25266 for (1799ds/710Mi)
0.10/0.38	% (25396)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_25266 for (1799ds/6Mi)
0.10/0.38	% (25396)Refutation not found, incomplete strategy
0.10/0.38	% (25396)------------------------------
0.10/0.38	% (25396)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.38	% (25396)Termination reason: Refutation not found, incomplete strategy
0.10/0.38	
0.10/0.38	
0.10/0.38	% (25396)Memory used [KB]: 5500
0.10/0.38	% (25396)Time elapsed: 0.002 s
0.10/0.38	% (25396)Instructions burned: 2 (million)
0.10/0.38	% (25396)------------------------------
0.10/0.38	% (25396)------------------------------
0.10/0.38	% (25397)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_25266 for (1799ds/902Mi)
0.10/0.38	% (25397)Refutation not found, incomplete strategy
0.10/0.38	% (25397)------------------------------
0.10/0.38	% (25397)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.10/0.38	% (25397)Termination reason: Refutation not found, incomplete strategy
0.10/0.38	
0.10/0.38	
0.10/0.38	% (25397)Memory used [KB]: 5500
0.10/0.38	% (25397)Time elapsed: 0.002 s
0.10/0.38	% (25397)Instructions burned: 2 (million)
0.10/0.38	% (25397)------------------------------
0.10/0.38	% (25397)------------------------------
0.10/0.39	% (25399)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_25266 for (1799ds/5Mi)
0.10/0.39	% (25400)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_25266 for (1799ds/6Mi)
0.17/0.39	% (25399)Instruction limit reached!
0.17/0.39	% (25399)------------------------------
0.17/0.39	% (25399)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.39	% (25399)Termination reason: Unknown
0.17/0.39	% (25399)Termination phase: Saturation
0.17/0.39	
0.17/0.39	% (25399)Memory used [KB]: 5500
0.17/0.39	% (25399)Time elapsed: 0.003 s
0.17/0.39	% (25399)Instructions burned: 5 (million)
0.17/0.39	% (25399)------------------------------
0.17/0.39	% (25399)------------------------------
0.17/0.39	% (25400)Instruction limit reached!
0.17/0.39	% (25400)------------------------------
0.17/0.39	% (25400)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.39	% (25400)Termination reason: Unknown
0.17/0.39	% (25400)Termination phase: Saturation
0.17/0.39	
0.17/0.39	% (25400)Memory used [KB]: 5628
0.17/0.39	% (25400)Time elapsed: 0.004 s
0.17/0.39	% (25400)Instructions burned: 8 (million)
0.17/0.39	% (25400)------------------------------
0.17/0.39	% (25400)------------------------------
0.17/0.39	% (25401)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_25266 for (1799ds/377Mi)
0.17/0.39	% (25401)Refutation not found, incomplete strategy
0.17/0.39	% (25401)------------------------------
0.17/0.39	% (25401)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.39	% (25401)Termination reason: Refutation not found, incomplete strategy
0.17/0.39	
0.17/0.39	
0.17/0.39	% (25401)Memory used [KB]: 5500
0.17/0.39	% (25401)Time elapsed: 0.002 s
0.17/0.39	% (25401)Instructions burned: 2 (million)
0.17/0.39	% (25401)------------------------------
0.17/0.39	% (25401)------------------------------
0.17/0.39	% (25398)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_25266 for (1799ds/21Mi)
0.17/0.39	% (25402)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_25266 for (1799ds/779Mi)
0.17/0.40	% (25375)Instruction limit reached!
0.17/0.40	% (25375)------------------------------
0.17/0.40	% (25375)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.40	% (25375)Termination reason: Unknown
0.17/0.40	% (25375)Termination phase: Saturation
0.17/0.40	
0.17/0.40	% (25375)Memory used [KB]: 6140
0.17/0.40	% (25375)Time elapsed: 0.051 s
0.17/0.40	% (25375)Instructions burned: 186 (million)
0.17/0.40	% (25375)------------------------------
0.17/0.40	% (25375)------------------------------
0.17/0.40	% (25403)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_25266 for (1799ds/19Mi)
0.17/0.40	% (25404)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_25266 for (1799ds/879Mi)
0.17/0.40	% (25403)Refutation not found, incomplete strategy
0.17/0.40	% (25403)------------------------------
0.17/0.40	% (25403)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.40	% (25403)Termination reason: Refutation not found, incomplete strategy
0.17/0.40	
0.17/0.40	
0.17/0.40	% (25403)Memory used [KB]: 5500
0.17/0.40	% (25403)Time elapsed: 0.002 s
0.17/0.40	% (25403)Instructions burned: 2 (million)
0.17/0.40	% (25403)------------------------------
0.17/0.40	% (25403)------------------------------
0.17/0.40	% (25404)Refutation not found, incomplete strategy
0.17/0.40	% (25404)------------------------------
0.17/0.40	% (25404)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.40	% (25404)Termination reason: Refutation not found, incomplete strategy
0.17/0.40	
0.17/0.40	
0.17/0.40	% (25404)Memory used [KB]: 5500
0.17/0.40	% (25404)Time elapsed: 0.002 s
0.17/0.40	% (25404)Instructions burned: 1 (million)
0.17/0.40	% (25404)------------------------------
0.17/0.40	% (25404)------------------------------
0.17/0.40	% (25405)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_25266 for (1799ds/17Mi)
0.17/0.40	% (25406)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_25266 for (1799ds/3Mi)
0.17/0.41	% (25405)Instruction limit reached!
0.17/0.41	% (25405)------------------------------
0.17/0.41	% (25405)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.41	% (25405)Termination reason: Unknown
0.17/0.41	% (25405)Termination phase: Saturation
0.17/0.41	
0.17/0.41	% (25405)Memory used [KB]: 5500
0.17/0.41	% (25405)Time elapsed: 0.007 s
0.17/0.41	% (25405)Instructions burned: 19 (million)
0.17/0.41	% (25405)------------------------------
0.17/0.41	% (25405)------------------------------
0.17/0.41	% (25407)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_25266 for (1799ds/30Mi)
0.17/0.41	% (25406)Instruction limit reached!
0.17/0.41	% (25406)------------------------------
0.17/0.41	% (25406)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.41	% (25406)Termination reason: Unknown
0.17/0.41	% (25406)Termination phase: Saturation
0.17/0.41	
0.17/0.41	% (25406)Memory used [KB]: 5500
0.17/0.41	% (25406)Time elapsed: 0.003 s
0.17/0.41	% (25406)Instructions burned: 5 (million)
0.17/0.41	% (25406)------------------------------
0.17/0.41	% (25406)------------------------------
0.17/0.41	% (25408)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_25266 for (1799ds/127Mi)
0.17/0.41	% (25398)Instruction limit reached!
0.17/0.41	% (25398)------------------------------
0.17/0.41	% (25398)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.41	% (25398)Termination reason: Unknown
0.17/0.41	% (25398)Termination phase: Saturation
0.17/0.41	
0.17/0.41	% (25398)Memory used [KB]: 5628
0.17/0.41	% (25398)Time elapsed: 0.018 s
0.17/0.41	% (25398)Instructions burned: 22 (million)
0.17/0.41	% (25398)------------------------------
0.17/0.41	% (25398)------------------------------
0.17/0.41	% (25409)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_25266 for (1799ds/100Mi)
0.17/0.41	% (25410)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on E---3.1_25266 for (1799ds/3Mi)
0.17/0.41	% (25407)Instruction limit reached!
0.17/0.41	% (25407)------------------------------
0.17/0.41	% (25407)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.41	% (25407)Termination reason: Unknown
0.17/0.41	% (25407)Termination phase: Saturation
0.17/0.41	
0.17/0.41	% (25407)Memory used [KB]: 5628
0.17/0.41	% (25407)Time elapsed: 0.032 s
0.17/0.41	% (25407)Instructions burned: 30 (million)
0.17/0.41	% (25407)------------------------------
0.17/0.41	% (25407)------------------------------
0.17/0.41	% (25409)Refutation not found, incomplete strategy
0.17/0.41	% (25409)------------------------------
0.17/0.41	% (25409)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.41	% (25409)Termination reason: Refutation not found, incomplete strategy
0.17/0.41	
0.17/0.41	
0.17/0.41	% (25409)Memory used [KB]: 5500
0.17/0.41	% (25409)Time elapsed: 0.001 s
0.17/0.41	% (25409)Instructions burned: 1 (million)
0.17/0.41	% (25409)------------------------------
0.17/0.41	% (25409)------------------------------
0.17/0.42	% (25410)Instruction limit reached!
0.17/0.42	% (25410)------------------------------
0.17/0.42	% (25410)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.42	% (25410)Termination reason: Unknown
0.17/0.42	% (25410)Termination phase: Saturation
0.17/0.42	
0.17/0.42	% (25410)Memory used [KB]: 5500
0.17/0.42	% (25410)Time elapsed: 0.003 s
0.17/0.42	% (25410)Instructions burned: 5 (million)
0.17/0.42	% (25410)------------------------------
0.17/0.42	% (25410)------------------------------
0.17/0.42	% (25411)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on E---3.1_25266 for (1799ds/20Mi)
0.17/0.42	% (25412)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on E---3.1_25266 for (1799ds/86Mi)
0.17/0.42	% (25413)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on E---3.1_25266 for (1799ds/107Mi)
0.17/0.42	% (25411)Refutation not found, incomplete strategy
0.17/0.42	% (25411)------------------------------
0.17/0.42	% (25411)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.42	% (25411)Termination reason: Refutation not found, incomplete strategy
0.17/0.42	
0.17/0.42	
0.17/0.42	% (25411)Memory used [KB]: 5500
0.17/0.42	% (25411)Time elapsed: 0.003 s
0.17/0.42	% (25411)Instructions burned: 1 (million)
0.17/0.42	% (25411)------------------------------
0.17/0.42	% (25411)------------------------------
0.17/0.42	% (25412)Refutation not found, incomplete strategy
0.17/0.42	% (25412)------------------------------
0.17/0.42	% (25412)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.42	% (25412)Termination reason: Refutation not found, incomplete strategy
0.17/0.42	
0.17/0.42	
0.17/0.42	% (25412)Memory used [KB]: 5500
0.17/0.42	% (25412)Time elapsed: 0.002 s
0.17/0.42	% (25412)Instructions burned: 2 (million)
0.17/0.42	% (25412)------------------------------
0.17/0.42	% (25412)------------------------------
0.17/0.42	% (25413)Refutation not found, incomplete strategy
0.17/0.42	% (25413)------------------------------
0.17/0.42	% (25413)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.42	% (25413)Termination reason: Refutation not found, incomplete strategy
0.17/0.42	
0.17/0.42	
0.17/0.42	% (25413)Memory used [KB]: 5500
0.17/0.42	% (25413)Time elapsed: 0.002 s
0.17/0.42	% (25413)Instructions burned: 2 (million)
0.17/0.42	% (25413)------------------------------
0.17/0.42	% (25413)------------------------------
0.17/0.42	% (25414)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on E---3.1_25266 for (1799ds/39Mi)
0.17/0.43	% (25415)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on E---3.1_25266 for (1799ds/448Mi)
0.17/0.43	% (25416)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on E---3.1_25266 for (1799ds/46Mi)
0.17/0.44	% (25414)Instruction limit reached!
0.17/0.44	% (25414)------------------------------
0.17/0.44	% (25414)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.44	% (25414)Termination reason: Unknown
0.17/0.44	% (25414)Termination phase: Saturation
0.17/0.44	
0.17/0.44	% (25414)Memory used [KB]: 5628
0.17/0.44	% (25414)Time elapsed: 0.013 s
0.17/0.44	% (25414)Instructions burned: 40 (million)
0.17/0.44	% (25414)------------------------------
0.17/0.44	% (25414)------------------------------
0.17/0.44	% (25417)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on E---3.1_25266 for (1799ds/98Mi)
0.17/0.44	% (25417)Refutation not found, incomplete strategy
0.17/0.44	% (25417)------------------------------
0.17/0.44	% (25417)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.44	% (25417)Termination reason: Refutation not found, incomplete strategy
0.17/0.44	
0.17/0.44	
0.17/0.44	% (25417)Memory used [KB]: 1023
0.17/0.44	% (25417)Time elapsed: 0.004 s
0.17/0.44	% (25417)Instructions burned: 5 (million)
0.17/0.44	% (25417)------------------------------
0.17/0.44	% (25417)------------------------------
0.17/0.44	% (25408)Instruction limit reached!
0.17/0.44	% (25408)------------------------------
0.17/0.44	% (25408)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.44	% (25408)Termination reason: Unknown
0.17/0.44	% (25408)Termination phase: Saturation
0.17/0.44	
0.17/0.44	% (25408)Memory used [KB]: 5756
0.17/0.44	% (25408)Time elapsed: 0.037 s
0.17/0.44	% (25408)Instructions burned: 128 (million)
0.17/0.44	% (25408)------------------------------
0.17/0.44	% (25408)------------------------------
0.17/0.44	% (25418)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/507Mi)
0.17/0.45	% (25418)Refutation not found, incomplete strategy
0.17/0.45	% (25418)------------------------------
0.17/0.45	% (25418)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.45	% (25418)Termination reason: Refutation not found, incomplete strategy
0.17/0.45	
0.17/0.45	
0.17/0.45	% (25418)Memory used [KB]: 5500
0.17/0.45	% (25418)Time elapsed: 0.002 s
0.17/0.45	% (25418)Instructions burned: 3 (million)
0.17/0.45	% (25418)------------------------------
0.17/0.45	% (25418)------------------------------
0.17/0.45	% (25419)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/149Mi)
0.17/0.45	% (25416)Instruction limit reached!
0.17/0.45	% (25416)------------------------------
0.17/0.45	% (25416)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.45	% (25416)Termination reason: Unknown
0.17/0.45	% (25416)Termination phase: Saturation
0.17/0.45	
0.17/0.45	% (25416)Memory used [KB]: 5628
0.17/0.45	% (25416)Time elapsed: 0.017 s
0.17/0.45	% (25416)Instructions burned: 48 (million)
0.17/0.45	% (25416)------------------------------
0.17/0.45	% (25416)------------------------------
0.17/0.45	% (25419)Refutation not found, incomplete strategy
0.17/0.45	% (25419)------------------------------
0.17/0.45	% (25419)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.45	% (25419)Termination reason: Refutation not found, incomplete strategy
0.17/0.45	
0.17/0.45	
0.17/0.45	% (25419)Memory used [KB]: 5500
0.17/0.45	% (25419)Time elapsed: 0.002 s
0.17/0.45	% (25419)Instructions burned: 1 (million)
0.17/0.45	% (25419)------------------------------
0.17/0.45	% (25419)------------------------------
0.17/0.45	% (25420)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/39Mi)
0.17/0.45	% (25420)Refutation not found, incomplete strategy
0.17/0.45	% (25420)------------------------------
0.17/0.45	% (25420)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.45	% (25420)Termination reason: Refutation not found, incomplete strategy
0.17/0.45	
0.17/0.45	
0.17/0.45	% (25420)Memory used [KB]: 5500
0.17/0.45	% (25420)Time elapsed: 0.002 s
0.17/0.45	% (25420)Instructions burned: 2 (million)
0.17/0.45	% (25420)------------------------------
0.17/0.45	% (25420)------------------------------
0.17/0.45	% (25421)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/6Mi)
0.17/0.46	% (25422)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/1087Mi)
0.17/0.46	% (25421)Instruction limit reached!
0.17/0.46	% (25421)------------------------------
0.17/0.46	% (25421)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.46	% (25421)Termination reason: Unknown
0.17/0.46	% (25421)Termination phase: Saturation
0.17/0.46	
0.17/0.46	% (25421)Memory used [KB]: 9978
0.17/0.46	% (25421)Time elapsed: 0.004 s
0.17/0.46	% (25421)Instructions burned: 7 (million)
0.17/0.46	% (25421)------------------------------
0.17/0.46	% (25421)------------------------------
0.17/0.46	% (25422)Refutation not found, incomplete strategy
0.17/0.46	% (25422)------------------------------
0.17/0.46	% (25422)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.46	% (25422)Termination reason: Refutation not found, incomplete strategy
0.17/0.46	
0.17/0.46	
0.17/0.46	% (25422)Memory used [KB]: 5500
0.17/0.46	% (25422)Time elapsed: 0.002 s
0.17/0.46	% (25422)Instructions burned: 2 (million)
0.17/0.46	% (25422)------------------------------
0.17/0.46	% (25422)------------------------------
0.17/0.46	% (25423)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/47Mi)
0.17/0.46	% (25424)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/44Mi)
0.17/0.47	% (25425)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/432Mi)
0.17/0.47	% (25426)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/62Mi)
0.17/0.47	% (25424)Instruction limit reached!
0.17/0.47	% (25424)------------------------------
0.17/0.47	% (25424)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.47	% (25424)Termination reason: Unknown
0.17/0.47	% (25424)Termination phase: Saturation
0.17/0.47	
0.17/0.47	% (25424)Memory used [KB]: 1151
0.17/0.47	% (25424)Time elapsed: 0.014 s
0.17/0.47	% (25424)Instructions burned: 46 (million)
0.17/0.47	% (25424)------------------------------
0.17/0.47	% (25424)------------------------------
0.17/0.47	% (25423)Instruction limit reached!
0.17/0.47	% (25423)------------------------------
0.17/0.47	% (25423)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.47	% (25423)Termination reason: Unknown
0.17/0.47	% (25423)Termination phase: Saturation
0.17/0.47	
0.17/0.47	% (25423)Memory used [KB]: 5628
0.17/0.47	% (25423)Time elapsed: 0.017 s
0.17/0.47	% (25423)Instructions burned: 49 (million)
0.17/0.47	% (25423)------------------------------
0.17/0.47	% (25423)------------------------------
0.17/0.47	% (25425)Refutation not found, incomplete strategy
0.17/0.47	% (25425)------------------------------
0.17/0.47	% (25425)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.47	% (25425)Termination reason: Refutation not found, incomplete strategy
0.17/0.47	
0.17/0.47	
0.17/0.47	% (25425)Memory used [KB]: 1407
0.17/0.47	% (25425)Time elapsed: 0.009 s
0.17/0.47	% (25425)Instructions burned: 27 (million)
0.17/0.47	% (25425)------------------------------
0.17/0.47	% (25425)------------------------------
0.17/0.48	% (25427)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/31Mi)
0.17/0.48	% (25429)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/453Mi)
0.17/0.48	% (25428)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/96Mi)
0.17/0.48	% (25426)Instruction limit reached!
0.17/0.48	% (25426)------------------------------
0.17/0.48	% (25426)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.48	% (25426)Termination reason: Unknown
0.17/0.48	% (25426)Termination phase: Saturation
0.17/0.48	
0.17/0.48	% (25426)Memory used [KB]: 5756
0.17/0.48	% (25426)Time elapsed: 0.019 s
0.17/0.48	% (25426)Instructions burned: 62 (million)
0.17/0.48	% (25426)------------------------------
0.17/0.48	% (25426)------------------------------
0.17/0.49	% (25429)Refutation not found, incomplete strategy
0.17/0.49	% (25429)------------------------------
0.17/0.49	% (25429)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.49	% (25429)Termination reason: Refutation not found, incomplete strategy
0.17/0.49	
0.17/0.49	
0.17/0.49	% (25429)Memory used [KB]: 5500
0.17/0.49	% (25429)Time elapsed: 0.003 s
0.17/0.49	% (25429)Instructions burned: 5 (million)
0.17/0.49	% (25429)------------------------------
0.17/0.49	% (25429)------------------------------
0.17/0.49	% (25427)Instruction limit reached!
0.17/0.49	% (25427)------------------------------
0.17/0.49	% (25427)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.49	% (25427)Termination reason: Unknown
0.17/0.49	% (25427)Termination phase: Saturation
0.17/0.49	
0.17/0.49	% (25427)Memory used [KB]: 5628
0.17/0.49	% (25427)Time elapsed: 0.010 s
0.17/0.49	% (25427)Instructions burned: 31 (million)
0.17/0.49	% (25427)------------------------------
0.17/0.49	% (25427)------------------------------
0.17/0.49	% (25430)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/71Mi)
0.17/0.49	% (25431)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/83Mi)
0.17/0.50	% (25432)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/11Mi)
0.17/0.50	% (25432)Instruction limit reached!
0.17/0.50	% (25432)------------------------------
0.17/0.50	% (25432)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.50	% (25432)Termination reason: Unknown
0.17/0.50	% (25432)Termination phase: Saturation
0.17/0.50	
0.17/0.50	% (25432)Memory used [KB]: 5500
0.17/0.50	% (25432)Time elapsed: 0.005 s
0.17/0.50	% (25432)Instructions burned: 12 (million)
0.17/0.50	% (25432)------------------------------
0.17/0.50	% (25432)------------------------------
0.17/0.51	% (25433)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/41Mi)
0.17/0.51	% (25433)Refutation not found, incomplete strategy
0.17/0.51	% (25433)------------------------------
0.17/0.51	% (25433)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.51	% (25433)Termination reason: Refutation not found, incomplete strategy
0.17/0.51	
0.17/0.51	
0.17/0.51	% (25433)Memory used [KB]: 5500
0.17/0.51	% (25433)Time elapsed: 0.002 s
0.17/0.51	% (25433)Instructions burned: 3 (million)
0.17/0.51	% (25433)------------------------------
0.17/0.51	% (25433)------------------------------
0.17/0.52	% (25431)Instruction limit reached!
0.17/0.52	% (25431)------------------------------
0.17/0.52	% (25431)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.52	% (25431)Termination reason: Unknown
0.17/0.52	% (25431)Termination phase: Saturation
1.35/0.52	
1.35/0.52	% (25431)Memory used [KB]: 5628
1.35/0.52	% (25431)Time elapsed: 0.024 s
1.35/0.52	% (25431)Instructions burned: 84 (million)
1.35/0.52	% (25431)------------------------------
1.35/0.52	% (25431)------------------------------
1.35/0.52	% (25430)Instruction limit reached!
1.35/0.52	% (25430)------------------------------
1.35/0.52	% (25430)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.35/0.52	% (25430)Termination reason: Unknown
1.35/0.52	% (25430)Termination phase: Saturation
1.35/0.52	
1.35/0.52	% (25430)Memory used [KB]: 5756
1.35/0.52	% (25430)Time elapsed: 0.025 s
1.35/0.52	% (25430)Instructions burned: 72 (million)
1.35/0.52	% (25430)------------------------------
1.35/0.52	% (25430)------------------------------
1.35/0.52	% (25428)Instruction limit reached!
1.35/0.52	% (25428)------------------------------
1.35/0.52	% (25428)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.35/0.52	% (25428)Termination reason: Unknown
1.35/0.52	% (25428)Termination phase: Saturation
1.35/0.52	
1.35/0.52	% (25428)Memory used [KB]: 5756
1.35/0.52	% (25428)Time elapsed: 0.039 s
1.35/0.52	% (25428)Instructions burned: 96 (million)
1.35/0.52	% (25428)------------------------------
1.35/0.52	% (25428)------------------------------
1.35/0.52	% (25434)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/6Mi)
1.35/0.52	% (25434)Refutation not found, incomplete strategy
1.35/0.52	% (25434)------------------------------
1.35/0.52	% (25434)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.35/0.52	% (25434)Termination reason: Refutation not found, incomplete strategy
1.35/0.52	
1.35/0.52	
1.35/0.52	% (25434)Memory used [KB]: 5500
1.35/0.52	% (25434)Time elapsed: 0.002 s
1.35/0.52	% (25434)Instructions burned: 2 (million)
1.35/0.52	% (25434)------------------------------
1.35/0.52	% (25434)------------------------------
1.35/0.53	% (25435)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/150Mi)
1.35/0.53	% (25436)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/343Mi)
1.35/0.53	% (25436)Refutation not found, incomplete strategy
1.35/0.53	% (25436)------------------------------
1.35/0.53	% (25436)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.35/0.53	% (25436)Termination reason: Refutation not found, incomplete strategy
1.35/0.53	
1.35/0.53	
1.35/0.53	% (25436)Memory used [KB]: 5500
1.35/0.53	% (25436)Time elapsed: 0.002 s
1.35/0.53	% (25436)Instructions burned: 2 (million)
1.35/0.53	% (25436)------------------------------
1.35/0.53	% (25436)------------------------------
1.35/0.53	% (25438)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/253Mi)
1.35/0.53	% (25438)Refutation not found, incomplete strategy
1.35/0.53	% (25438)------------------------------
1.35/0.53	% (25438)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.35/0.53	% (25438)Termination reason: Refutation not found, incomplete strategy
1.35/0.53	
1.35/0.53	
1.35/0.53	% (25438)Memory used [KB]: 5500
1.35/0.53	% (25438)Time elapsed: 0.002 s
1.35/0.53	% (25438)Instructions burned: 2 (million)
1.35/0.53	% (25438)------------------------------
1.35/0.53	% (25438)------------------------------
1.35/0.53	% (25439)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/140Mi)
1.48/0.54	% (25439)Refutation not found, incomplete strategy
1.48/0.54	% (25439)------------------------------
1.48/0.54	% (25439)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.48/0.54	% (25439)Termination reason: Refutation not found, incomplete strategy
1.48/0.54	
1.48/0.54	
1.48/0.54	% (25439)Memory used [KB]: 5500
1.48/0.54	% (25439)Time elapsed: 0.001 s
1.48/0.54	% (25439)Instructions burned: 1 (million)
1.48/0.54	% (25439)------------------------------
1.48/0.54	% (25439)------------------------------
1.48/0.54	% (25437)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/109Mi)
1.48/0.54	% (25440)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/614Mi)
1.48/0.54	% (25440)Refutation not found, incomplete strategy
1.48/0.54	% (25440)------------------------------
1.48/0.54	% (25440)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.48/0.54	% (25440)Termination reason: Refutation not found, incomplete strategy
1.48/0.54	
1.48/0.54	
1.48/0.54	% (25440)Memory used [KB]: 5500
1.48/0.54	% (25440)Time elapsed: 0.023 s
1.48/0.54	% (25440)Instructions burned: 2 (million)
1.48/0.54	% (25440)------------------------------
1.48/0.54	% (25440)------------------------------
1.48/0.54	% (25441)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/202Mi)
1.48/0.55	% (25441)Refutation not found, incomplete strategy
1.48/0.55	% (25441)------------------------------
1.48/0.55	% (25441)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.48/0.55	% (25441)Termination reason: Refutation not found, incomplete strategy
1.48/0.55	
1.48/0.55	
1.48/0.55	% (25441)Memory used [KB]: 5500
1.48/0.55	% (25441)Time elapsed: 0.002 s
1.48/0.55	% (25441)Instructions burned: 2 (million)
1.48/0.55	% (25441)------------------------------
1.48/0.55	% (25441)------------------------------
1.48/0.55	% (25442)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/339Mi)
1.48/0.55	% (25442)Refutation not found, incomplete strategy
1.48/0.55	% (25442)------------------------------
1.48/0.55	% (25442)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.48/0.55	% (25442)Termination reason: Refutation not found, incomplete strategy
1.48/0.55	
1.48/0.55	
1.48/0.55	% (25442)Memory used [KB]: 5500
1.48/0.55	% (25442)Time elapsed: 0.024 s
1.48/0.55	% (25442)Instructions burned: 2 (million)
1.48/0.55	% (25442)------------------------------
1.48/0.55	% (25442)------------------------------
1.48/0.55	% (25415)Instruction limit reached!
1.48/0.55	% (25415)------------------------------
1.48/0.55	% (25415)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.48/0.55	% (25415)Termination reason: Unknown
1.48/0.55	% (25415)Termination phase: Saturation
1.48/0.55	
1.48/0.55	% (25415)Memory used [KB]: 6268
1.48/0.55	% (25415)Time elapsed: 0.122 s
1.48/0.55	% (25415)Instructions burned: 449 (million)
1.48/0.55	% (25415)------------------------------
1.48/0.55	% (25415)------------------------------
1.48/0.55	% (25443)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on E---3.1_25266 for (1798ds/283Mi)
1.48/0.56	% (25444)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on E---3.1_25266 for (1797ds/134Mi)
1.48/0.56	% (25445)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on E---3.1_25266 for (1797ds/298Mi)
1.48/0.57	% (25435)Instruction limit reached!
1.48/0.57	% (25435)------------------------------
1.48/0.57	% (25435)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.48/0.57	% (25435)Termination reason: Unknown
1.48/0.57	% (25435)Termination phase: Saturation
1.48/0.57	
1.48/0.57	% (25435)Memory used [KB]: 5756
1.48/0.57	% (25435)Time elapsed: 0.064 s
1.48/0.57	% (25435)Instructions burned: 150 (million)
1.48/0.57	% (25435)------------------------------
1.48/0.57	% (25435)------------------------------
1.48/0.57	% (25395)Instruction limit reached!
1.48/0.57	% (25395)------------------------------
1.48/0.57	% (25395)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.48/0.57	% (25395)Termination reason: Unknown
1.48/0.57	% (25395)Termination phase: Saturation
1.48/0.57	
1.48/0.57	% (25395)Memory used [KB]: 6524
1.48/0.57	% (25395)Time elapsed: 0.194 s
1.48/0.57	% (25395)Instructions burned: 710 (million)
1.48/0.57	% (25395)------------------------------
1.48/0.57	% (25395)------------------------------
1.48/0.57	% (25437)Instruction limit reached!
1.48/0.57	% (25437)------------------------------
1.48/0.57	% (25437)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.48/0.57	% (25437)Termination reason: Unknown
1.48/0.57	% (25437)Termination phase: Saturation
1.48/0.57	
1.48/0.57	% (25437)Memory used [KB]: 5884
1.48/0.57	% (25437)Time elapsed: 0.062 s
1.48/0.57	% (25437)Instructions burned: 109 (million)
1.48/0.57	% (25437)------------------------------
1.48/0.57	% (25437)------------------------------
1.48/0.58	% (25446)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on E---3.1_25266 for (1797ds/192Mi)
1.48/0.58	% (25447)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on E---3.1_25266 for (1797ds/258Mi)
1.48/0.58	% (25447)Refutation not found, incomplete strategy
1.48/0.58	% (25447)------------------------------
1.48/0.58	% (25447)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.48/0.58	% (25447)Termination reason: Refutation not found, incomplete strategy
1.48/0.58	
1.48/0.58	
1.48/0.58	% (25447)Memory used [KB]: 5500
1.48/0.58	% (25447)Time elapsed: 0.002 s
1.48/0.58	% (25447)Instructions burned: 2 (million)
1.48/0.58	% (25447)------------------------------
1.48/0.58	% (25447)------------------------------
1.48/0.58	% (25448)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on E---3.1_25266 for (1797ds/90Mi)
1.48/0.58	% (25448)Refutation not found, incomplete strategy
1.48/0.58	% (25448)------------------------------
1.48/0.58	% (25448)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.48/0.58	% (25448)Termination reason: Refutation not found, incomplete strategy
1.48/0.58	
1.48/0.58	
1.48/0.58	% (25448)Memory used [KB]: 5500
1.48/0.58	% (25448)Time elapsed: 0.002 s
1.48/0.58	% (25448)Instructions burned: 2 (million)
1.48/0.58	% (25448)------------------------------
1.48/0.58	% (25448)------------------------------
1.48/0.59	% (25449)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on E---3.1_25266 for (1797ds/231Mi)
1.48/0.59	% (25450)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on E---3.1_25266 for (1797ds/458Mi)
1.48/0.59	% (25450)Refutation not found, incomplete strategy
1.48/0.59	% (25450)------------------------------
1.48/0.59	% (25450)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.48/0.59	% (25450)Termination reason: Refutation not found, incomplete strategy
1.48/0.59	
1.48/0.59	
1.48/0.59	% (25450)Memory used [KB]: 5500
1.48/0.59	% (25450)Time elapsed: 0.001 s
1.48/0.59	% (25450)Instructions burned: 1 (million)
1.48/0.59	% (25450)------------------------------
1.48/0.59	% (25450)------------------------------
1.48/0.60	% (25451)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on E---3.1_25266 for (1797ds/31Mi)
1.48/0.60	% (25444)Instruction limit reached!
1.48/0.60	% (25444)------------------------------
1.48/0.60	% (25444)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.48/0.60	% (25444)Termination reason: Unknown
1.48/0.60	% (25444)Termination phase: Saturation
1.48/0.60	
1.48/0.60	% (25444)Memory used [KB]: 6268
1.48/0.60	% (25444)Time elapsed: 0.045 s
1.48/0.60	% (25444)Instructions burned: 134 (million)
1.48/0.60	% (25444)------------------------------
1.48/0.60	% (25444)------------------------------
1.48/0.61	% (25402)Instruction limit reached!
1.48/0.61	% (25402)------------------------------
1.48/0.61	% (25402)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.48/0.61	% (25402)Termination reason: Unknown
1.48/0.61	% (25402)Termination phase: Saturation
1.48/0.61	
1.48/0.61	% (25402)Memory used [KB]: 6652
1.48/0.61	% (25402)Time elapsed: 0.215 s
1.48/0.61	% (25402)Instructions burned: 781 (million)
1.48/0.61	% (25402)------------------------------
1.48/0.61	% (25402)------------------------------
1.48/0.61	% (25451)Instruction limit reached!
1.48/0.61	% (25451)------------------------------
1.48/0.61	% (25451)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.48/0.61	% (25451)Termination reason: Unknown
1.48/0.61	% (25451)Termination phase: Saturation
1.48/0.61	
1.48/0.61	% (25451)Memory used [KB]: 5628
1.48/0.61	% (25451)Time elapsed: 0.011 s
1.48/0.61	% (25451)Instructions burned: 33 (million)
1.48/0.61	% (25451)------------------------------
1.48/0.61	% (25451)------------------------------
1.48/0.61	% (25452)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on E---3.1_25266 for (1797ds/297Mi)
1.48/0.61	% (25453)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on E---3.1_25266 for (1797ds/987Mi)
1.48/0.62	% (25453)Refutation not found, incomplete strategy
1.48/0.62	% (25453)------------------------------
1.48/0.62	% (25453)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.48/0.62	% (25453)Termination reason: Refutation not found, incomplete strategy
1.48/0.62	
1.48/0.62	
1.48/0.62	% (25453)Memory used [KB]: 5500
1.48/0.62	% (25453)Time elapsed: 0.003 s
1.48/0.62	% (25453)Instructions burned: 5 (million)
1.48/0.62	% (25453)------------------------------
1.48/0.62	% (25453)------------------------------
1.48/0.62	% (25454)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on E---3.1_25266 for (1797ds/182Mi)
1.48/0.63	% (25455)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on E---3.1_25266 for (1797ds/182Mi)
1.48/0.63	% (25455)Refutation not found, incomplete strategy
1.48/0.63	% (25455)------------------------------
1.48/0.63	% (25455)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.87/0.63	% (25455)Termination reason: Refutation not found, incomplete strategy
1.87/0.63	
1.87/0.63	
1.87/0.63	% (25455)Memory used [KB]: 5500
1.87/0.63	% (25455)Time elapsed: 0.002 s
1.87/0.63	% (25455)Instructions burned: 1 (million)
1.87/0.63	% (25455)------------------------------
1.87/0.63	% (25455)------------------------------
1.87/0.63	% (25446)Instruction limit reached!
1.87/0.63	% (25446)------------------------------
1.87/0.63	% (25446)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.87/0.63	% (25446)Termination reason: Unknown
1.87/0.63	% (25446)Termination phase: Saturation
1.87/0.63	
1.87/0.63	% (25446)Memory used [KB]: 6012
1.87/0.63	% (25446)Time elapsed: 0.054 s
1.87/0.63	% (25446)Instructions burned: 192 (million)
1.87/0.63	% (25446)------------------------------
1.87/0.63	% (25446)------------------------------
1.87/0.63	% (25443)Instruction limit reached!
1.87/0.63	% (25443)------------------------------
1.87/0.63	% (25443)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.87/0.63	% (25443)Termination reason: Unknown
1.87/0.63	% (25443)Termination phase: Saturation
1.87/0.63	
1.87/0.63	% (25443)Memory used [KB]: 6140
1.87/0.63	% (25443)Time elapsed: 0.100 s
1.87/0.63	% (25443)Instructions burned: 285 (million)
1.87/0.63	% (25443)------------------------------
1.87/0.63	% (25443)------------------------------
1.87/0.63	% (25456)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on E---3.1_25266 for (1797ds/154Mi)
1.87/0.64	% (25457)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on E---3.1_25266 for (1797ds/79Mi)
1.87/0.64	% (25457)Refutation not found, incomplete strategy
1.87/0.64	% (25457)------------------------------
1.87/0.64	% (25457)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.87/0.64	% (25457)Termination reason: Refutation not found, incomplete strategy
1.87/0.64	
1.87/0.64	
1.87/0.64	% (25457)Memory used [KB]: 5500
1.87/0.64	% (25457)Time elapsed: 0.001 s
1.87/0.64	% (25457)Instructions burned: 1 (million)
1.87/0.64	% (25457)------------------------------
1.87/0.64	% (25457)------------------------------
1.87/0.64	% (25458)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on E---3.1_25266 for (1797ds/216Mi)
1.87/0.64	% (25458)Refutation not found, incomplete strategy
1.87/0.64	% (25458)------------------------------
1.87/0.64	% (25458)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.87/0.64	% (25458)Termination reason: Refutation not found, incomplete strategy
1.87/0.64	
1.87/0.64	
1.87/0.64	% (25458)Memory used [KB]: 5500
1.87/0.64	% (25458)Time elapsed: 0.004 s
1.87/0.64	% (25458)Instructions burned: 5 (million)
1.87/0.64	% (25458)------------------------------
1.87/0.64	% (25458)------------------------------
1.87/0.65	% (25445)Instruction limit reached!
1.87/0.65	% (25445)------------------------------
1.87/0.65	% (25445)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.87/0.65	% (25445)Termination reason: Unknown
1.87/0.65	% (25445)Termination phase: Saturation
1.87/0.65	
1.87/0.65	% (25445)Memory used [KB]: 6140
1.87/0.65	% (25445)Time elapsed: 0.084 s
1.87/0.65	% (25445)Instructions burned: 299 (million)
1.87/0.65	% (25445)------------------------------
1.87/0.65	% (25445)------------------------------
1.87/0.65	% (25459)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on E---3.1_25266 for (1797ds/114Mi)
1.87/0.65	% (25449)First to succeed.
1.87/0.65	% (25460)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on E---3.1_25266 for (1796ds/922Mi)
1.87/0.65	% (25460)Refutation not found, incomplete strategy
1.87/0.65	% (25460)------------------------------
1.87/0.65	% (25460)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.87/0.65	% (25460)Termination reason: Refutation not found, incomplete strategy
1.87/0.65	
1.87/0.65	
1.87/0.65	% (25460)Memory used [KB]: 5500
1.87/0.65	% (25460)Time elapsed: 0.002 s
1.87/0.65	% (25460)Instructions burned: 1 (million)
1.87/0.65	% (25460)------------------------------
1.87/0.65	% (25460)------------------------------
1.87/0.65	% (25461)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on E---3.1_25266 for (1796ds/182Mi)
1.87/0.66	% (25461)Refutation not found, incomplete strategy
1.87/0.66	% (25461)------------------------------
1.87/0.66	% (25461)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.87/0.66	% (25461)Termination reason: Refutation not found, incomplete strategy
1.87/0.66	
1.87/0.66	
1.87/0.66	% (25461)Memory used [KB]: 5500
1.87/0.66	% (25461)Time elapsed: 0.002 s
1.87/0.66	% (25461)Instructions burned: 3 (million)
1.87/0.66	% (25461)------------------------------
1.87/0.66	% (25461)------------------------------
1.87/0.66	% (25462)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on E---3.1_25266 for (1796ds/164Mi)
1.87/0.66	% (25462)Refutation not found, incomplete strategy
1.87/0.66	% (25462)------------------------------
1.87/0.66	% (25462)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.87/0.66	% (25462)Termination reason: Refutation not found, incomplete strategy
1.87/0.66	
1.87/0.66	
1.87/0.66	% (25462)Memory used [KB]: 1023
1.87/0.66	% (25462)Time elapsed: 0.002 s
1.87/0.66	% (25462)Instructions burned: 2 (million)
1.87/0.66	% (25462)------------------------------
1.87/0.66	% (25462)------------------------------
1.87/0.66	% (25463)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on E---3.1_25266 for (1796ds/50Mi)
1.87/0.67	% (25449)Refutation found. Thanks to Tanya!
1.87/0.67	% SZS status Theorem for E---3.1_25266
1.87/0.67	% SZS output start Proof for E---3.1_25266
1.87/0.67	thf(func_def_11, type, sF0: ((($i > $i > $o) > $i) > $o) > $o).
1.87/0.67	thf(func_def_12, type, sF1: (($i > $i > $o) > $o) > $o).
1.87/0.67	thf(func_def_13, type, sF2: ($i > $o) > $o).
1.87/0.67	thf(func_def_14, type, sF3: (($i > $i > $o) > $i) > $o).
1.87/0.67	thf(func_def_18, type, ph7: !>[X0: $tType]:(X0)).
1.87/0.67	thf(func_def_19, type, sK8: ($i > $o) > $i).
1.87/0.67	thf(func_def_20, type, sK9: (($i > $i > $o) > $o) > $i > $i > $o).
1.87/0.67	thf(func_def_21, type, sK10: ((($i > $i > $o) > $i) > $o) > ($i > $i > $o) > $i).
1.87/0.67	thf(func_def_23, type, sK11: (($i > $i > $o) > $i > $o) > (($i > $i > $o) > $i > $o) > $i > $i > $o).
1.87/0.67	thf(func_def_24, type, sK12: (($i > $i > $o) > $i > $i > $i) > (($i > $i > $o) > $i > $i > $i) > $i > $i > $o).
1.87/0.67	thf(func_def_25, type, sK13: (($i > $i > $o) > $i > $i) > (($i > $i > $o) > $i > $i) > $i).
1.87/0.67	thf(func_def_26, type, sK14: (($i > $i > $o) > $i > $i) > (($i > $i > $o) > $i > $i) > $i).
1.87/0.67	thf(func_def_27, type, sK15: (($i > $i > $o) > $i > $i) > (($i > $i > $o) > $i > $i) > $i > $i > $o).
1.87/0.67	thf(func_def_30, type, sK16: (($i > $i > $o) > $i > $i > $i > $i) > $i).
1.87/0.67	thf(f236,plain,(
1.87/0.67	  $false),
1.87/0.67	  inference(avatar_sat_refutation,[],[f26,f36,f39,f235])).
1.87/0.67	thf(f235,plain,(
1.87/0.67	  ~spl6_1),
1.87/0.67	  inference(avatar_contradiction_clause,[],[f234])).
1.87/0.67	thf(f234,plain,(
1.87/0.67	  $false | ~spl6_1),
1.87/0.67	  inference(trivial_inequality_removal,[],[f233])).
1.87/0.67	thf(f233,plain,(
1.87/0.67	  ((^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5)))))))) @ Y2 @ Y1))))))) != (^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5)))))))) @ Y2 @ Y1)))))))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5))))))))) @ Y2 @ Y1)))))))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5))))))))) @ Y2 @ Y1))))))))) | ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y0 @ Y3 @ Y2)))))))) != (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y0 @ Y3 @ Y2))))))))) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f232])).
1.87/0.67	thf(f232,plain,(
1.87/0.67	  ((^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y8)))))))) @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5)))))))) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6)))))))) @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5))))))))) @ Y0 @ Y1 @ Y2) @ Y1))))))) != (^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y8)))))))) @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5)))))))) @ Y2 @ Y1)))))))) | ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y0 @ Y3 @ Y2)))))))) != (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y0 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y7)))))))) @ Y0 @ Y1 @ Y2 @ Y3) @ Y2))))))))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y8)))))))) @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5))))))))) @ Y2 @ Y1)))))))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y8)))))))) @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5))))))))) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6)))))))) @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5)))))))))) @ Y0 @ Y1 @ Y2) @ Y1))))))))) | ~spl6_1),
1.87/0.67	  inference(equality_resolution,[],[f231])).
1.87/0.67	thf(f231,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6))))))))))))))) | ((^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5)))))))) @ (X0 @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5))))))))) @ Y0 @ Y1 @ Y2) @ Y1))))))) != (^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5)))))))) @ Y2 @ Y1)))))))) | ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y0 @ Y3 @ Y2)))))))) != (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y0 @ (X0 @ Y0 @ Y1 @ Y2 @ Y3) @ Y2))))))))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5))))))))) @ Y2 @ Y1)))))))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5))))))))) @ (X0 @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5)))))))))) @ Y0 @ Y1 @ Y2) @ Y1)))))))))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f230])).
1.87/0.67	thf(f230,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $i] : (((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5))))))))) @ Y2 @ Y1)))))))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5))))))))) @ (X0 @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5)))))))))) @ Y0 @ Y1 @ Y2) @ Y1))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6))))))))))))))) | ((^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5)))))))) @ (X0 @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5))))))))) @ Y0 @ Y1 @ Y2) @ Y1))))))) != (^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5)))))))) @ Y2 @ Y1)))))))) | (((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ Y4 @ Y3)))))))))) @ (sK16 @ X0)) != ((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))))) @ (sK16 @ X0)))) ) | ~spl6_1),
1.87/0.67	  inference(negative_extensionality,[],[f229])).
1.87/0.67	thf(f229,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ Y4 @ Y3)))))))))) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5))))))))) @ Y2 @ Y1)))))))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5))))))))) @ (X0 @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5)))))))))) @ Y0 @ Y1 @ Y2) @ Y1))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6))))))))))))))) | ((^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5)))))))) @ (X0 @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5))))))))) @ Y0 @ Y1 @ Y2) @ Y1))))))) != (^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y4 @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y6 @ Y5)))))))) @ Y2 @ Y1))))))))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f228])).
1.87/0.67	thf(f228,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $i] : (((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y8)))))))) @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6)))))))) @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))))) @ Y0 @ Y1 @ Y2) @ Y1)))))))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y8)))))))) @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (X0 @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))))) @ Y0 @ Y1 @ Y2) @ Y1))))))))) | ((^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y8)))))))) @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (X0 @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ Y0 @ Y1 @ Y2) @ Y1))))))) != (^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y8)))))))) @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6)))))))) @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ Y0 @ Y1 @ Y2) @ Y1)))))))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y8)))))))) @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))))) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6)))))))))))))))) ) | ~spl6_1),
1.87/0.67	  inference(equality_resolution,[],[f227])).
1.87/0.67	thf(f227,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i > $i] : (((X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y0 @ (X1 @ Y0 @ Y1 @ Y2 @ Y3) @ Y2)))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y2))))))) | ((^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (X1 @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ Y0 @ Y1 @ Y2) @ Y1))))))) != (^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (X0 @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ Y0 @ Y1 @ Y2) @ Y1)))))))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (X0 @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))))) @ Y0 @ Y1 @ Y2) @ Y1)))))))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (X1 @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))))) @ Y0 @ Y1 @ Y2) @ Y1))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))))) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X1)))))))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f226])).
1.87/0.67	thf(f226,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i > $i] : (((^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7)))))))) @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (X0 @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ Y0 @ Y1 @ Y2) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ Y0 @ Y1 @ Y2)))))))) != (^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7)))))))) @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (X1 @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ Y0 @ Y1 @ Y2) @ Y1)))))))) | ((X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y0 @ (X1 @ Y0 @ Y1 @ Y2 @ Y3) @ Y2)))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y2))))))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7)))))))) @ Y1 @ Y2 @ Y3 @ Y4)))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (X0 @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))))) @ Y0 @ Y1 @ Y2) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))))) @ Y0 @ Y1 @ Y2))))))))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7)))))))) @ Y1 @ Y2 @ Y3 @ Y4)))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (X1 @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))))) @ Y0 @ Y1 @ Y2) @ Y1))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7)))))))) @ Y1 @ Y2 @ Y3 @ Y4))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X1)))))))) ) | ~spl6_1),
1.87/0.67	  inference(equality_resolution,[],[f225])).
1.87/0.67	thf(f225,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i > $i > $i,X0 : ($i > $i > $o) > $i > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X1)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5))))))))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X1 @ Y1 @ Y2 @ Y3 @ Y4))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ (X2 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))))) | ((^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X1 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X2 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (X2 @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ Y0 @ Y1 @ Y2) @ Y1))))))) != (^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X1 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X2 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (X0 @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ Y0 @ Y1 @ Y2) @ (X1 @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ Y0 @ Y1 @ Y2))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y2)))))) != (X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2 @ Y3) @ Y2)))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))))))))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X1 @ Y1 @ Y2 @ Y3 @ Y4)))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X2 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (X2 @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))))) @ Y0 @ Y1 @ Y2) @ Y1)))))))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X1 @ Y1 @ Y2 @ Y3 @ Y4)))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X2 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ (X0 @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))))) @ Y0 @ Y1 @ Y2) @ (X1 @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))))) @ Y0 @ Y1 @ Y2)))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X2)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0)))))))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f224])).
1.87/0.67	thf(f224,plain,(
1.87/0.67	  ( ! 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Y2 @ Y3 @ Y4)))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (X0 @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6))))))))))) @ Y0 @ Y1 @ Y2) @ (X1 @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ 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(^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (X2 @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6))))))))))) @ Y0 @ Y1 @ Y2) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6))))))))))) @ Y0 @ Y1 @ Y2)))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y2)))))) != (X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2 @ Y3) @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6)))))))) @ Y0 @ Y1 @ Y2 @ Y3))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))))))))) | ((^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X1 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X2 @ Y1 @ Y2 @ Y3 @ Y4) @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7)))))))) @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (X2 @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 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Y5 @ Y6))))))))) @ (X0 @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2) @ (X1 @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X1)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))))))))))) ) | ~spl6_1),
1.87/0.67	  inference(equality_resolution,[],[f222])).
1.87/0.67	thf(f222,plain,(
1.87/0.67	  ( ! 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$i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X2 @ Y1 @ Y2 @ Y3 @ Y4)))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4) @ (X3 @ Y1 @ Y2 @ Y3 @ Y4)))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ (X3 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (X1 @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ (X3 @ Y3 @ Y4 @ Y5 @ Y6))))))))))) @ Y0 @ Y1 @ Y2) @ (X3 @ (sK11 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ (X3 @ Y3 @ Y4 @ Y5 @ Y6))))))))))) @ Y0 @ Y1 @ Y2)))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X2 @ Y1 @ Y2 @ Y3 @ Y4))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4) @ (X3 @ Y1 @ Y2 @ Y3 @ Y4)))))))))))) | ((^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X2 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4) @ (X3 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ (X3 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (X1 @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ (X3 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2) @ (X3 @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ (X3 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))))) != (^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X2 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4) @ (X3 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ (X3 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (X0 @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ (X3 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2) @ (X2 @ (sK15 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ (X3 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2))))))))) | ((X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y0 @ (X1 @ Y0 @ Y1 @ Y2 @ Y3) @ (X3 @ Y0 @ Y1 @ Y2 @ Y3))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y2))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X1))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X2)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X3)))))))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f221])).
1.87/0.67	thf(f221,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i > $i > $i,X3 : ($i > $i > $o) > $i > $i > $i > $i,X0 : ($i > $i > $o) > $i > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X2 @ Y1 @ Y2 @ Y3 @ Y4))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4) @ (X3 @ Y1 @ Y2 @ Y3 @ Y4)))))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X3 @ (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y6 @ (X1 @ Y6 @ Y7 @ Y8 @ Y9) @ (X3 @ Y6 @ Y7 @ Y8 @ Y9))))))))) @ Y3 @ Y4 @ Y5))))))) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))))))) @ Y0 @ Y1 @ Y2)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (X0 @ Y3 @ Y4 @ Y5 @ Y6)))))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y2)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X1 @ (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y6 @ (X1 @ Y6 @ Y7 @ Y8 @ Y9) @ (X3 @ Y6 @ Y7 @ Y8 @ Y9))))))))) @ Y3 @ Y4 @ Y5))))))) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))))))) @ Y0 @ Y1 @ Y2))))))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y4 @ (X0 @ Y4 @ Y5 @ Y6 @ Y7) @ (X2 @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ Y1 @ Y2 @ Y3)))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y4 @ (X1 @ Y4 @ Y5 @ Y6 @ Y7) @ (X3 @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ Y1 @ Y2 @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ (X0 @ Y2 @ Y3 @ Y4 @ Y5) @ (X2 @ Y2 @ Y3 @ Y4 @ Y5))))))))) @ (sK11 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ Y3 @ (sK8 @ (^[Y4 : $i]: (sF2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y5 @ (X0 @ Y5 @ Y6 @ Y7 @ Y8) @ (X2 @ Y5 @ Y6 @ Y7 @ Y8))))))))) @ Y2 @ Y3 @ Y4)))))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ Y3 @ (sK8 @ (^[Y4 : $i]: (sF2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y5 @ (X1 @ Y5 @ Y6 @ Y7 @ Y8) @ (X3 @ Y5 @ Y6 @ Y7 @ Y8))))))))) @ Y2 @ Y3 @ Y4))))))))) @ Y0 @ Y1))))))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y4 @ (X0 @ Y4 @ Y5 @ Y6 @ Y7) @ (X2 @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ Y1 @ Y2 @ Y3)))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y4 @ (X1 @ Y4 @ Y5 @ Y6 @ Y7) @ (X3 @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ Y1 @ Y2 @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ (X1 @ Y2 @ Y3 @ Y4 @ Y5) @ (X3 @ Y2 @ Y3 @ Y4 @ Y5))))))))) @ (sK11 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ Y3 @ (sK8 @ (^[Y4 : $i]: (sF2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y5 @ (X0 @ Y5 @ Y6 @ Y7 @ Y8) @ (X2 @ Y5 @ Y6 @ Y7 @ Y8))))))))) @ Y2 @ Y3 @ Y4)))))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ Y3 @ (sK8 @ (^[Y4 : $i]: (sF2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y5 @ (X1 @ Y5 @ Y6 @ Y7 @ Y8) @ (X3 @ Y5 @ Y6 @ Y7 @ Y8))))))))) @ Y2 @ Y3 @ Y4))))))))) @ Y0 @ Y1)))))))) | ((^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y4 @ (X0 @ Y4 @ Y5 @ Y6 @ Y7) @ (X2 @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ Y1 @ Y2 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y4 @ (X1 @ Y4 @ Y5 @ Y6 @ Y7) @ (X3 @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ Y1 @ Y2 @ Y3))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ (X0 @ Y2 @ Y3 @ Y4 @ Y5) @ (X2 @ Y2 @ Y3 @ Y4 @ Y5))))))))) @ (sK15 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y5 @ (X0 @ Y5 @ Y6 @ Y7 @ Y8) @ (X2 @ Y5 @ Y6 @ Y7 @ Y8))))))))) @ Y2 @ Y3 @ Y4))))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y5 @ (X1 @ Y5 @ Y6 @ Y7 @ Y8) @ (X3 @ Y5 @ Y6 @ Y7 @ Y8))))))))) @ Y2 @ Y3 @ Y4)))))))) @ Y0 @ Y1)))))) != (^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y4 @ (X0 @ Y4 @ Y5 @ Y6 @ Y7) @ (X2 @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ Y1 @ Y2 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y4 @ (X1 @ Y4 @ Y5 @ Y6 @ Y7) @ (X3 @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ Y1 @ Y2 @ Y3))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ (X1 @ Y2 @ Y3 @ Y4 @ Y5) @ (X3 @ Y2 @ Y3 @ Y4 @ Y5))))))))) @ (sK15 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y5 @ (X0 @ Y5 @ Y6 @ Y7 @ Y8) @ (X2 @ Y5 @ Y6 @ Y7 @ Y8))))))))) @ Y2 @ Y3 @ Y4))))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y5 @ (X1 @ Y5 @ Y6 @ Y7 @ Y8) @ (X3 @ Y5 @ Y6 @ Y7 @ Y8))))))))) @ Y2 @ Y3 @ Y4)))))))) @ Y0 @ Y1))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (X3 @ Y3 @ Y4 @ Y5 @ Y6)))))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (X2 @ Y3 @ Y4 @ Y5 @ Y6)))))))))))))))) ) | ~spl6_1),
1.87/0.67	  inference(equality_resolution,[],[f220])).
1.87/0.67	thf(f220,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $o,X1 : ($i > $i > $o) > $i > $i > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (^[Y4 : $i]: (Y3 @ Y4 @ (sK8 @ (^[Y5 : $i]: (sF2 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))) != (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (X1 @ Y0 @ Y1 @ Y2))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))))))))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (X0 @ Y1 @ Y2 @ Y3)))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (X1 @ Y1 @ Y2 @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (X0 @ (sK11 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ Y3 @ (sK8 @ (^[Y4 : $i]: (sF2 @ (X0 @ Y2 @ Y3 @ Y4)))))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ Y3 @ (sK8 @ (^[Y4 : $i]: (sF2 @ (X1 @ Y2 @ Y3 @ Y4))))))))) @ Y0 @ Y1))))))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (X0 @ Y1 @ Y2 @ Y3)))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (X1 @ Y1 @ Y2 @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (X1 @ (sK11 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ Y3 @ (sK8 @ (^[Y4 : $i]: (sF2 @ (X0 @ Y2 @ Y3 @ Y4)))))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ Y3 @ (sK8 @ (^[Y4 : $i]: (sF2 @ (X1 @ Y2 @ Y3 @ Y4))))))))) @ Y0 @ Y1)))))))) | ((^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X0 @ Y1 @ Y2 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (X1 @ (sK15 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ (X0 @ Y2 @ Y3 @ Y4))))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ (X1 @ Y2 @ Y3 @ Y4)))))))) @ Y0 @ Y1)))))) != (^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X0 @ Y1 @ Y2 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (X0 @ (sK15 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ (X0 @ Y2 @ Y3 @ Y4))))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ (X1 @ Y2 @ Y3 @ Y4)))))))) @ Y0 @ Y1))))))) | ((^[Y0 : $i]: (X0)) != (^[Y0 : $i]: (X1)))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f219])).
1.87/0.67	thf(f219,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $o,X1 : ($i > $i > $o) > $i > $i > $i > $o] : (((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (sF2 @ (X0 @ Y5 @ Y6 @ Y7))))))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (X1 @ Y1 @ Y2 @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (X1 @ (sK11 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ Y3 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: (sK8 @ ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (sF2 @ (X0 @ Y6 @ Y7 @ Y8))))))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ Y3 @ (sK8 @ (^[Y4 : $i]: (sF2 @ (X1 @ Y2 @ Y3 @ Y4))))))))) @ Y0 @ Y1))))))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (sF2 @ (X0 @ Y5 @ Y6 @ Y7))))))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (X1 @ Y1 @ Y2 @ Y3)))))))) @ Y0 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (sF2 @ (X0 @ Y5 @ Y6 @ Y7))))))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (X1 @ Y1 @ Y2 @ Y3))))))))) @ Y0))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (^[Y4 : $i]: (Y3 @ Y4 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: (sK8 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: (sF2 @ (X0 @ Y7 @ Y8 @ Y9))))))) @ Y5 @ Y6))))) @ Y3 @ Y4)))) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))) != (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (X1 @ Y0 @ Y1 @ Y2))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))))))))) | ((^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (X1 @ (sK15 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (sF2 @ (X0 @ Y4 @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ (X1 @ Y2 @ Y3 @ Y4)))))))) @ Y0 @ Y1)))))) != (^[Y0 : $i]: (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ Y0 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ (sK15 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X1 @ Y1 @ Y2 @ Y3)))))))) @ Y0)))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: (X0 @ Y1 @ Y2 @ Y3)))))))) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: (X1 @ Y1 @ Y2 @ Y3)))))))))) ) | ~spl6_1),
1.87/0.67	  inference(equality_resolution,[],[f218])).
1.87/0.67	thf(f218,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $o,X1 : ($i > $i > $o) > $i > $i] : (((^[Y0 : $i]: (X1)) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X0 @ Y1 @ Y2 @ Y3)))))))))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (X0 @ Y1 @ Y2 @ Y3)))))))) @ Y0 @ (X1 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (X0 @ Y1 @ Y2 @ Y3))))))))) @ Y0)))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (X0 @ Y1 @ Y2 @ Y3)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (X0 @ (sK11 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ Y3 @ (X1 @ Y2 @ Y3))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ Y3 @ (sK8 @ (^[Y4 : $i]: (sF2 @ (X0 @ Y2 @ Y3 @ Y4))))))))) @ Y0 @ Y1)))))))) | ((^[Y0 : $i]: (sK15 @ X1 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X0 @ Y1 @ Y2 @ Y3))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (X0 @ (sK15 @ X1 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ (X0 @ Y2 @ Y3 @ Y4)))))))) @ Y0 @ Y1)))))) != (^[Y0 : $i]: (sK15 @ X1 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X0 @ Y1 @ Y2 @ Y3))))))) @ Y0 @ (X1 @ (sK15 @ X1 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X0 @ Y1 @ Y2 @ Y3)))))))) @ Y0)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (^[Y4 : $i]: (Y3 @ Y4 @ (X1 @ Y3 @ Y4)))) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))) != (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (X0 @ Y0 @ Y1 @ Y2))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))))))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f217])).
1.87/0.67	thf(f217,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $o,X1 : ($i > $i > $o) > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: (X0 @ (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (sK8 @ (^[Y3 : $i]: (Y2 @ Y3 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: (sK8 @ ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (sF2 @ (X0 @ Y6 @ Y7 @ Y8))))))) @ Y4 @ Y5))))) @ Y2 @ Y3)))) @ (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))))))) @ Y0 @ Y1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (^[Y4 : $i]: (Y3 @ Y4 @ (X1 @ Y3 @ Y4)))) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1))))))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))))) != (^[Y0 : $i]: (X1))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (sF2 @ (X0 @ Y5 @ Y6 @ Y7))))))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ Y0 @ (X1 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (sF2 @ (X0 @ Y5 @ Y6 @ Y7))))))) @ Y3 @ Y4))))) @ Y1 @ Y2)))))) @ Y0)))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (sF2 @ (X0 @ Y5 @ Y6 @ Y7))))))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ Y0 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (sF2 @ (X0 @ Y5 @ Y6 @ Y7))))))) @ Y3 @ Y4))))) @ Y1 @ Y2)))))) @ Y0))))) | ((^[Y0 : $i]: (sK15 @ X1 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ Y0 @ (X1 @ (sK15 @ X1 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2)))))) @ Y0))) != (^[Y0 : $i]: (sK15 @ X1 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ Y0 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ (sK15 @ X1 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2)))))) @ Y0))))) ) | ~spl6_1),
1.87/0.67	  inference(equality_resolution,[],[f216])).
1.87/0.67	thf(f216,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (^[Y4 : $i]: (Y3 @ Y4 @ (X1 @ Y3 @ Y4)))) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1))))))) | ((^[Y0 : $i]: (sK15 @ X1 @ X0 @ Y0 @ (X0 @ (sK15 @ X1 @ X0) @ Y0))) != (^[Y0 : $i]: (sK15 @ X1 @ X0 @ Y0 @ (X1 @ (sK15 @ X1 @ X0) @ Y0)))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2))))) @ Y0 @ (X0 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2)))))) @ Y0)))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2))))) @ Y0 @ (X1 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2)))))) @ Y0))))) | ((^[Y0 : $i]: (X0)) != (^[Y0 : $i]: (X1)))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f215])).
1.87/0.67	thf(f215,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : ((((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1))))) @ (sK15 @ X1 @ X0)) != ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1))))) @ (sK15 @ X1 @ X0))) | ((^[Y0 : $i]: (X0)) != (^[Y0 : $i]: (X1))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2))))) @ Y0 @ (X0 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2)))))) @ Y0)))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2))))) @ Y0 @ (X1 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2)))))) @ Y0))))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (^[Y4 : $i]: (Y3 @ Y4 @ (X1 @ Y3 @ Y4)))) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))))) ) | ~spl6_1),
1.87/0.67	  inference(negative_extensionality,[],[f214])).
1.87/0.67	thf(f214,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1))))) != (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1)))))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2))))) @ Y0 @ (X0 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2)))))) @ Y0)))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2))))) @ Y0 @ (X1 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2)))))) @ Y0))))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (^[Y4 : $i]: (Y3 @ Y4 @ (X1 @ Y3 @ Y4)))) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1))))))) | ((^[Y0 : $i]: (X0)) != (^[Y0 : $i]: (X1)))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f213])).
1.87/0.67	thf(f213,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((^[Y0 : $i]: (X0)) != (^[Y0 : $i]: (X1))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (^[Y4 : $i]: (Y3 @ Y4 @ (X1 @ Y3 @ Y4)))) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1))))))) | (((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))))) @ (sK14 @ X1 @ X0)) != ((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2))))))) @ (sK14 @ X1 @ X0))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2))))) @ Y0 @ (X0 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2)))))) @ Y0)))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2))))) @ Y0 @ (X1 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2)))))) @ Y0)))))) ) | ~spl6_1),
1.87/0.67	  inference(negative_extensionality,[],[f212])).
1.87/0.67	thf(f212,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2))))))) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2)))))))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (^[Y4 : $i]: (Y3 @ Y4 @ (X1 @ Y3 @ Y4)))) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1))))))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2))))) @ Y0 @ (X0 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2)))))) @ Y0)))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2))))) @ Y0 @ (X1 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2)))))) @ Y0))))) | ((^[Y0 : $i]: (X0)) != (^[Y0 : $i]: (X1)))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f211])).
1.87/0.67	thf(f211,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2))))) @ Y0 @ (X0 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2)))))) @ Y0)))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2))))) @ Y0 @ (X1 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2)))))) @ Y0))))) | ((^[Y0 : $i]: (X0)) != (^[Y0 : $i]: (X1))) | (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ Y3 @ (X0 @ Y2 @ Y3))))))))) @ (sK13 @ X1 @ X0)) != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ Y3 @ (X1 @ Y2 @ Y3))))))))) @ (sK13 @ X1 @ X0))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (^[Y4 : $i]: (Y3 @ Y4 @ (X1 @ Y3 @ Y4)))) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))))) ) | ~spl6_1),
1.87/0.67	  inference(negative_extensionality,[],[f210])).
1.87/0.67	thf(f210,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ Y3 @ (X0 @ Y2 @ Y3))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ Y3 @ (X1 @ Y2 @ Y3)))))))))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2))))) @ Y0 @ (X0 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2)))))) @ Y0)))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2))))) @ Y0 @ (X1 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2)))))) @ Y0))))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (^[Y4 : $i]: (Y3 @ Y4 @ (X1 @ Y3 @ Y4)))) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1))))))) | ((^[Y0 : $i]: (X0)) != (^[Y0 : $i]: (X1)))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f209])).
1.87/0.67	thf(f209,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (^[Y4 : $i]: (Y3 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: (Y6)))) @ Y3 @ Y4) @ (X1 @ Y3 @ Y4)))) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1))))))) | ((^[Y0 : $i]: (X0)) != (^[Y0 : $i]: (X1))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ Y3 @ (X0 @ Y2 @ Y3))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: (Y5)))) @ Y2 @ Y3) @ (X1 @ Y2 @ Y3)))))))))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y4)))) @ Y1 @ Y2) @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2))))) @ Y0 @ (X0 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y4)))) @ Y1 @ Y2) @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2)))))) @ Y0)))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y4)))) @ Y1 @ Y2) @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y2)))) @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y4)))) @ Y1 @ Y2) @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2)))))) @ Y0) @ (X1 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y4)))) @ Y1 @ Y2) @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2)))))) @ Y0)))))) ) | ~spl6_1),
1.87/0.67	  inference(equality_resolution,[],[f208])).
1.87/0.67	thf(f208,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i,X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((^[Y0 : $i]: (X0)) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y2))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ Y3 @ (X2 @ Y2 @ Y3))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ (X0 @ Y2 @ Y3) @ (X1 @ Y2 @ Y3)))))))))) | ((^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (^[Y4 : $i]: (Y3 @ (X0 @ Y3 @ Y4) @ (X1 @ Y3 @ Y4)))) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))) != (X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ Y1 @ (X2 @ Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))))))))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X2 @ Y1 @ Y2))))) @ (X0 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X2 @ Y1 @ Y2)))))) @ Y0) @ (X1 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X2 @ Y1 @ Y2)))))) @ Y0)))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X2 @ Y1 @ Y2))))) @ Y0 @ (X2 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ Y2 @ (X2 @ Y1 @ Y2)))))) @ Y0))))) | ((^[Y0 : $i]: (X1)) != (^[Y0 : $i]: (X2)))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f207])).
1.87/0.67	thf(f207,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i,X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y4)))) @ Y1 @ Y2) @ (X2 @ Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y2)))) @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y4)))) @ Y1 @ Y2) @ (X2 @ Y1 @ Y2)))))) @ Y0) @ (X2 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y4)))) @ Y1 @ Y2) @ (X2 @ Y1 @ Y2)))))) @ Y0)))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y4)))) @ Y1 @ Y2) @ (X2 @ Y1 @ Y2))))) @ (X0 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y4)))) @ Y1 @ Y2) @ (X2 @ Y1 @ Y2)))))) @ Y0) @ (X1 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ (X1 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y4)))) @ Y1 @ Y2) @ (X2 @ Y1 @ Y2)))))) @ Y0))))) | ((^[Y0 : $i]: (X1)) != (^[Y0 : $i]: (X2))) | ((X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ (X2 @ Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (^[Y4 : $i]: (Y3 @ (X0 @ Y3 @ Y4) @ (X1 @ Y3 @ Y4)))) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: (Y5)))) @ Y2 @ Y3) @ (X2 @ Y2 @ Y3))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ (X0 @ Y2 @ Y3) @ (X1 @ Y2 @ Y3)))))))))) | ((^[Y0 : $i]: (X0)) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y2)))))))) ) | ~spl6_1),
1.87/0.67	  inference(equality_resolution,[],[f206])).
1.87/0.67	thf(f206,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i,X3 : ($i > $i > $o) > $i > $i,X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ (X0 @ Y0 @ Y1) @ (X2 @ Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : $i]: (Y0))) | ((sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X1 @ Y1 @ Y2) @ (X3 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ (X2 @ Y1 @ Y2))))) @ (X1 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X1 @ Y1 @ Y2) @ (X3 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ (X2 @ Y1 @ Y2)))))) @ Y0) @ (X3 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X1 @ Y1 @ Y2) @ (X3 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ (X2 @ Y1 @ Y2)))))) @ Y0)))) != (sK8 @ (^[Y0 : $i]: (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X1 @ Y1 @ Y2) @ (X3 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ (X2 @ Y1 @ Y2))))) @ (X0 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X1 @ Y1 @ Y2) @ (X3 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ (X2 @ Y1 @ Y2)))))) @ Y0) @ (X2 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X1 @ Y1 @ Y2) @ (X3 @ Y1 @ Y2))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ (X2 @ Y1 @ Y2)))))) @ Y0))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ (X0 @ Y2 @ Y3) @ (X2 @ Y2 @ Y3))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ (X1 @ Y2 @ Y3) @ (X3 @ Y2 @ Y3)))))))))) | ((X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (Y0 @ (X0 @ Y0 @ Y1) @ (X2 @ Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (^[Y4 : $i]: (Y3 @ (X1 @ Y3 @ Y4) @ (X3 @ Y3 @ Y4)))) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1))))))) | ((^[Y0 : $i]: (X2)) != (^[Y0 : $i]: (X3))) | ((^[Y0 : $i]: (X0)) != (^[Y0 : $i]: (X1)))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f205])).
1.87/0.67	thf(f205,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i,X3 : ($i > $i > $o) > $i > $i,X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (X2 @ Y1 @ Y2)))))) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (X3 @ Y1 @ Y2))))))) | ((^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: (Y4 @ (X1 @ Y4 @ Y5) @ (X3 @ Y4 @ Y5))))) @ Y3)) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))) != (^[Y0 : $i]: (X2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ (X0 @ Y2 @ Y3) @ (X2 @ Y2 @ Y3))))) @ Y1)) @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))))))) @ Y0))) | ((sK8 @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ (X3 @ Y0 @ Y1))))) @ (sK11 @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ (X3 @ Y0 @ Y1))))) @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (Y0 @ (X0 @ Y0 @ Y1) @ (X2 @ Y0 @ Y1)))))))) != (sK8 @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (Y0 @ (X0 @ Y0 @ Y1) @ (X2 @ Y0 @ Y1))))) @ (sK11 @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ (X3 @ Y0 @ Y1))))) @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (Y0 @ (X0 @ Y0 @ Y1) @ (X2 @ Y0 @ Y1))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (X1 @ Y1 @ Y2)))))) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (X0 @ Y1 @ Y2))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ (X0 @ Y2 @ Y3) @ (X2 @ Y2 @ Y3))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ (X1 @ Y2 @ Y3) @ (X3 @ Y2 @ Y3)))))))))) | ((^[Y0 : $i]: (X0 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ (X0 @ Y2 @ Y3) @ (X2 @ Y2 @ Y3))))) @ Y1)) @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))))))) @ Y0)) != (^[Y0 : $i]: (Y0)))) ) | ~spl6_1),
1.87/0.67	  inference(equality_resolution,[],[f204])).
1.87/0.67	thf(f204,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $o,X1 : ($i > $i > $o) > $i > $o] : (((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X0 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ (X1 @ Y1)) @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (X1 @ Y3)) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))))) | ((sK8 @ (X1 @ (sK11 @ X1 @ X0))) != (sK8 @ (X0 @ (sK11 @ X1 @ X0)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0)))))) ) | ~spl6_1),
1.87/0.67	  inference(trivial_inequality_removal,[],[f203])).
1.87/0.67	thf(f203,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $o,X1 : ($i > $i > $o) > $i > $o] : (((sK8 @ (X1 @ (sK11 @ X1 @ X0))) != (sK8 @ (X0 @ (sK11 @ X1 @ X0)))) | ((sK8 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK12 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))))) @ Y1 @ Y0))))) != (sK8 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK12 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))))) @ Y1 @ Y0)))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0))))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X0 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ (X1 @ Y1)) @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (X1 @ Y3)) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1))))))))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f202])).
1.87/0.67	thf(f202,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i > $o,X1 : ($i > $i > $o) > $i > $o] : (((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X0 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ (X1 @ Y1)) @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))) @ Y1 @ Y2 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (X1 @ Y3)) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7)))))) @ Y3 @ Y4 @ Y5))))))))) @ Y2 @ Y1)))))))) | ((sK8 @ (X1 @ (sK11 @ X1 @ X0))) != (sK8 @ (X0 @ (sK11 @ X1 @ X0)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0))))) | ((sK8 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK12 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))))) @ Y1 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))))) @ (sK12 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3))))))) @ Y0 @ Y1)))))) != (sK8 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK12 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))))) @ Y1 @ Y0))))))) ) | ~spl6_1),
1.87/0.67	  inference(equality_resolution,[],[f201])).
1.87/0.67	thf(f201,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i > $i,X0 : ($i > $i > $o) > $i > $o,X1 : ($i > $i > $o) > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: (X2)))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3))))))))))) | ((sK8 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK12 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))))) @ X2 @ Y1 @ Y0))))) != (sK8 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK12 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))))) @ X2 @ Y1 @ (X2 @ (sK12 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))))) @ X2) @ Y0 @ Y1))))))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X0 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ (X1 @ Y1)) @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ (X2 @ Y1 @ Y2 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (X1 @ Y3)) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ (X2 @ Y3 @ Y4 @ Y5))))))))) @ Y2 @ Y1)))))))) | ((sK8 @ (X1 @ (sK11 @ X1 @ X0))) != (sK8 @ (X0 @ (sK11 @ X1 @ X0)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0)))))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f200])).
1.87/0.67	thf(f200,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i > $i,X0 : ($i > $i > $o) > $i > $o,X1 : ($i > $i > $o) > $i > $o] : (((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X0 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4)))))) @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ (X1 @ Y1)) @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ (X2 @ Y1 @ Y2 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (X1 @ Y3)) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ (X2 @ Y3 @ Y4 @ Y5))))))))) @ Y2 @ Y1)))))))) | ((sK8 @ (X1 @ (sK11 @ X1 @ X0))) != (sK8 @ (X0 @ (sK11 @ X1 @ X0)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X2)))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3))))))))))) | ((sK8 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK12 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))))) @ X2 @ Y1 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))))) @ (sK12 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))))) @ X2) @ Y0 @ Y1)))))) != (sK8 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK12 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))))) @ X2 @ Y1 @ (X2 @ (sK12 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3)))))) @ X2) @ Y0 @ Y1)))))))) ) | ~spl6_1),
1.87/0.67	  inference(equality_resolution,[],[f199])).
1.87/0.67	thf(f199,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $o,X3 : ($i > $i > $o) > $i > $i > $i,X0 : ($i > $i > $o) > $i > $o,X1 : ($i > $i > $o) > $i > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != (X3 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X2 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ (X3 @ Y0 @ Y1 @ Y2)))))))))))) | ((X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X2 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ (X3 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ (X0 @ Y1)) @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ (X1 @ Y1 @ Y2 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (X0 @ Y3)) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ (X1 @ Y3 @ Y4 @ Y5))))))))) @ Y2 @ Y1)))))))) | ((sK8 @ (X2 @ (sK11 @ X0 @ X2))) != (sK8 @ (X0 @ (sK11 @ X0 @ X2)))) | ((sK8 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK12 @ X3 @ X1 @ Y1 @ (X3 @ (sK12 @ X3 @ X1) @ Y0 @ Y1)))))) != (sK8 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK12 @ X3 @ X1 @ Y1 @ (X1 @ (sK12 @ X3 @ X1) @ Y0 @ Y1))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X2))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X3)))))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f198])).
1.87/0.67	thf(f198,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $o,X3 : ($i > $i > $o) > $i > $i > $i,X0 : ($i > $i > $o) > $i > $o,X1 : ($i > $i > $o) > $i > $i > $i] : (((X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X2 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ (X3 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ (X0 @ Y1)) @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ (X1 @ Y1 @ Y2 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (X0 @ Y3)) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ (X1 @ Y3 @ Y4 @ Y5))))))))) @ Y2 @ Y1)))))))) | (((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ (X3 @ Y0 @ Y1 @ Y2))))))) @ (sK12 @ X3 @ X1)) != ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ (X1 @ Y0 @ Y1 @ Y2))))))) @ (sK12 @ X3 @ X1))) | ((sK8 @ (X2 @ (sK11 @ X0 @ X2))) != (sK8 @ (X0 @ (sK11 @ X0 @ X2)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X2))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != (X3 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X2 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ (X3 @ Y0 @ Y1 @ Y2)))))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X3)))))) ) | ~spl6_1),
1.87/0.67	  inference(negative_extensionality,[],[f197])).
1.87/0.67	thf(f197,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $o,X3 : ($i > $i > $o) > $i > $i > $i,X0 : ($i > $i > $o) > $i > $o,X1 : ($i > $i > $o) > $i > $i > $i] : (((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ (X1 @ Y0 @ Y1 @ Y2))))))) != (^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ (X3 @ Y0 @ Y1 @ Y2)))))))) | ((sK8 @ (X2 @ (sK11 @ X0 @ X2))) != (sK8 @ (X0 @ (sK11 @ X0 @ X2)))) | ((X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X2 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ (X3 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ (X0 @ Y1)) @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ (X1 @ Y1 @ Y2 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (X0 @ Y3)) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ (X1 @ Y3 @ Y4 @ Y5))))))))) @ Y2 @ Y1)))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != (X3 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X2 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ (X3 @ Y0 @ Y1 @ Y2)))))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X2))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X3)))))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f196])).
1.87/0.67	thf(f196,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $o,X3 : ($i > $i > $o) > $i > $i > $i,X0 : ($i > $i > $o) > $i > $o,X1 : ($i > $i > $o) > $i > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: (X0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X2))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y5)))))) @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2))))))) != (^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ (X3 @ Y0 @ Y1 @ Y2)))))))) | ((X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X2 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ (X3 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ (X0 @ Y1)) @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6)))))) @ Y1 @ Y2 @ Y3) @ (X1 @ Y1 @ Y2 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (X0 @ Y3)) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y8)))))) @ Y3 @ Y4 @ Y5) @ (X1 @ Y3 @ Y4 @ Y5))))))))) @ Y2 @ Y1)))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != (X3 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X2 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ (X3 @ Y0 @ Y1 @ Y2)))))))))))) | ((sK8 @ (X2 @ (sK11 @ X0 @ X2))) != (sK8 @ (X0 @ (sK11 @ X0 @ X2)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X3)))))) ) | ~spl6_1),
1.87/0.67	  inference(equality_resolution,[],[f195])).
1.87/0.67	thf(f195,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i > $i,X3 : ($i > $i > $o) > $i > $o,X0 : ($i > $i > $o) > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i,X4 : ($i > $i > $o) > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4)))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X1))))) | ((^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ (X4 @ Y1)) @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ (X1 @ Y1 @ Y2 @ Y3) @ (X2 @ Y1 @ Y2 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (X4 @ Y3)) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5) @ (X2 @ Y3 @ Y4 @ Y5))))))))) @ Y2 @ Y1))))))) != (X3 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X3 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ (X0 @ Y0 @ Y1 @ Y2)))))))))))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X3 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ (X0 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y0))))) | ((sK8 @ (X4 @ (sK11 @ X4 @ X3))) != (sK8 @ (X3 @ (sK11 @ X4 @ X3)))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ (X0 @ Y0 @ Y1 @ Y2))))))) != (^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X1 @ Y0 @ Y1 @ Y2) @ (X2 @ Y0 @ Y1 @ Y2)))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X3)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X4))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X2)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0)))))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f194])).
1.87/0.67	thf(f194,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i > $i,X3 : ($i > $i > $o) > $i > $o,X0 : ($i > $i > $o) > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i,X4 : ($i > $i > $o) > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: (X2)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4)))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X1))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y5)))))) @ Y0 @ Y1 @ Y2) @ (X0 @ Y0 @ Y1 @ Y2))))))) != (^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X1 @ Y0 @ Y1 @ Y2) @ (X2 @ Y0 @ Y1 @ Y2)))))))) | ((X3 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X3 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y5)))))) @ Y0 @ Y1 @ Y2) @ (X0 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ (X4 @ Y1)) @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ (X1 @ Y1 @ Y2 @ Y3) @ (X2 @ Y1 @ Y2 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (X4 @ Y3)) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5) @ (X2 @ Y3 @ Y4 @ Y5))))))))) @ Y2 @ Y1)))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X3 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y5)))))) @ Y0 @ Y1 @ Y2) @ (X0 @ Y0 @ Y1 @ Y2)))))))))))) | ((sK8 @ (X4 @ (sK11 @ X4 @ X3))) != (sK8 @ (X3 @ (sK11 @ X4 @ X3)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X3)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X4)))))) ) | ~spl6_1),
1.87/0.67	  inference(equality_resolution,[],[f193])).
1.87/0.67	thf(f193,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i > $i,X3 : ($i > $i > $o) > $i > $i > $i,X0 : ($i > $i > $o) > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i,X4 : ($i > $i > $o) > $i > $o,X5 : ($i > $i > $o) > $i > $o] : (((X3 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X4 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X3 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y1))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X3 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2))))))) != (^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X0 @ Y0 @ Y1 @ Y2)))))))) | ((X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X4 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X3 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y0))))) | ((X4 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X4 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X3 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ (X5 @ Y1)) @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ (X2 @ Y1 @ Y2 @ Y3) @ (X0 @ Y1 @ Y2 @ Y3))))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (X5 @ Y3)) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5) @ (X0 @ Y3 @ Y4 @ Y5))))))))) @ Y2 @ Y1)))))))) | ((sK8 @ (X5 @ (sK11 @ X5 @ X4))) != (sK8 @ (X4 @ (sK11 @ X5 @ X4)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X2)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X3))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X4)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X5))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X1)))))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f192])).
1.87/0.67	thf(f192,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i > $i,X3 : ($i > $i > $o) > $i > $i > $i,X0 : ($i > $i > $o) > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i,X4 : ($i > $i > $o) > $i > $o,X5 : ($i > $i > $o) > $i > $o] : (((X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X4 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X3 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y0))))) | ((X4 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X4 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X3 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ (X5 @ Y1)) @ (sK8 @ (^[Y2 : $i]: (sF2 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5) @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (X5 @ Y3)) @ (sK8 @ (^[Y4 : $i]: (sF2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y5 @ (X2 @ Y5 @ Y6 @ Y7) @ (X0 @ Y5 @ Y6 @ Y7))))))) @ Y3 @ Y4))))))) @ Y2 @ Y1)))))))) | ((sK8 @ (X5 @ (sK11 @ X5 @ X4))) != (sK8 @ (X4 @ (sK11 @ X5 @ X4)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X4)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X5))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X3 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2))))))) != (^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y2 @ (X2 @ Y2 @ Y3 @ Y4) @ (X0 @ Y2 @ Y3 @ Y4))))))) @ Y0 @ Y1)))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (X0 @ Y2 @ Y3 @ Y4)))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (X1 @ Y2 @ Y3 @ Y4))))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (X2 @ Y2 @ Y3 @ Y4)))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (X3 @ Y2 @ Y3 @ Y4))))))))))) | ((X3 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X4 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X3 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))))) ) | ~spl6_1),
1.87/0.67	  inference(equality_resolution,[],[f191])).
1.87/0.67	thf(f191,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i > $o,X3 : ($i > $i > $o) > $i > $o,X0 : ($i > $i > $o) > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i,X4 : ($i > $i > $o) > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: (X2)))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y2 @ (X0 @ Y2 @ Y3 @ Y4) @ (X1 @ Y2 @ Y3 @ Y4)))))))))))) | ((sK8 @ (X4 @ (sK11 @ X3 @ X4))) != (sK8 @ (X3 @ (sK11 @ X3 @ X4)))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X4 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X0 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y1))))) | ((^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ (X3 @ Y1)) @ (sK8 @ (^[Y2 : $i]: (sF2 @ (X2 @ Y1 @ Y2))))))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (X3 @ Y3)) @ (sK8 @ (^[Y4 : $i]: (sF2 @ (X2 @ Y3 @ Y4))))))) @ Y2 @ Y1))))))) != (X4 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X4 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X0 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2)))))))))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X0 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2))))))) != (^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (X2 @ Y0 @ Y1)))))) | ((X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X4 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X0 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y0))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X3)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X4)))))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f190])).
1.87/0.67	thf(f190,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i > $o,X3 : ($i > $i > $o) > $i > $o,X0 : ($i > $i > $o) > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i,X4 : ($i > $i > $o) > $i > $o] : (((^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ (X3 @ Y1)) @ ((^[Y2 : $i > $i > $o]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sF2 @ (X2 @ Y3 @ Y4))))) @ Y2))) @ Y1)))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (X3 @ Y3)) @ ((^[Y4 : $i > $i > $o]: (sK8 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: (sF2 @ (X2 @ Y5 @ Y6))))) @ Y4))) @ Y3)))) @ Y2 @ Y1))))))) != (X4 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X4 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X0 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2)))))))))))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X4 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X0 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y1))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y2 @ (X0 @ Y2 @ Y3 @ Y4) @ (X1 @ Y2 @ Y3 @ Y4))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (X2 @ Y2 @ Y3))))))))) | ((X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X4 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X0 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y0))))) | ((sK8 @ (X4 @ (sK11 @ X3 @ X4))) != (sK8 @ (X3 @ (sK11 @ X3 @ X4)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X3)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X4))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X0 @ Y0 @ Y1 @ Y2) @ (X1 @ Y0 @ Y1 @ Y2))))))) != (^[Y0 : $i > $i > $o]: (sK8 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sF2 @ (X2 @ Y1 @ Y2))))) @ Y0))))) ) | ~spl6_1),
1.87/0.67	  inference(equality_resolution,[],[f183])).
1.87/0.67	thf(f183,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i > $i,X3 : ($i > $i > $o) > $i > $i > $i,X0 : ($i > $i > $o) > $i > $o,X1 : ($i > $i > $o) > $i > $o,X4 : ($i > $i > $o) > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ (X2 @ Y2 @ Y3 @ Y4) @ (X3 @ Y2 @ Y3 @ Y4))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X4))))) | ((sK8 @ (X1 @ (sK11 @ X1 @ X0))) != (sK8 @ (X0 @ (sK11 @ X1 @ X0)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != (X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X0 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2)))))))))))) | ((X3 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X0 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y0))))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X0 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ (X1 @ Y1)) @ (X4 @ Y1)))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (X1 @ Y3)) @ (X4 @ Y3)))) @ Y2 @ Y1)))))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2))))))) != X4) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0)))))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f182])).
1.87/0.67	thf(f182,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i > $i,X3 : ($i > $i > $o) > $i > $i > $i,X0 : ($i > $i > $o) > $i > $o,X1 : ($i > $i > $o) > $i > $o,X4 : ($i > $i > $o) > $i] : ((((^[Y0 : $i > $i > $o]: (sK8 @ (X1 @ Y0))) @ (sK11 @ X1 @ X0)) != ((^[Y0 : $i > $i > $o]: (sK8 @ (X0 @ Y0))) @ (sK11 @ X1 @ X0))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != (X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X0 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2)))))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ (X2 @ Y2 @ Y3 @ Y4) @ (X3 @ Y2 @ Y3 @ Y4))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X4))))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X0 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ (X1 @ Y1)) @ (X4 @ Y1)))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (X1 @ Y3)) @ (X4 @ Y3)))) @ Y2 @ Y1)))))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2))))))) != X4) | ((X3 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X0 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y0))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0)))))) ) | ~spl6_1),
1.87/0.67	  inference(negative_extensionality,[],[f181])).
1.87/0.67	thf(f181,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i > $i,X3 : ($i > $i > $o) > $i > $i > $i,X0 : ($i > $i > $o) > $i > $o,X1 : ($i > $i > $o) > $i > $o,X4 : ($i > $i > $o) > $i] : (((^[Y0 : $i > $i > $o]: (sK8 @ (X1 @ Y0))) != (^[Y0 : $i > $i > $o]: (sK8 @ (X0 @ Y0)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ (X2 @ Y2 @ Y3 @ Y4) @ (X3 @ Y2 @ Y3 @ Y4))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X4))))) | ((X3 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X0 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y0))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != (X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X0 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2)))))))))))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X0 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (sK8 @ (X1 @ Y1)) @ (X4 @ Y1)))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK8 @ (X1 @ Y3)) @ (X4 @ Y3)))) @ Y2 @ Y1)))))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2))))))) != X4) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0)))))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f180])).
1.87/0.67	thf(f180,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i > $i,X3 : ($i > $i > $o) > $i > $i > $i,X0 : ($i > $i > $o) > $i > $o,X1 : ($i > $i > $o) > $i > $o,X4 : ($i > $i > $o) > $i] : (((X3 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X0 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y0))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (X0 @ Y2)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (X1 @ Y2))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != (X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X0 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2)))))))))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (X1 @ Y0))) != (^[Y0 : $i > $i > $o]: (sK8 @ (X0 @ Y0)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ (X2 @ Y2 @ Y3 @ Y4) @ (X3 @ Y2 @ Y3 @ Y4))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X4))))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X0 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ ((^[Y2 : $i > $i > $o]: (sK8 @ (X1 @ Y2))) @ Y1) @ (X4 @ Y1)))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ ((^[Y4 : $i > $i > $o]: (sK8 @ (X1 @ Y4))) @ Y3) @ (X4 @ Y3)))) @ Y2 @ Y1)))))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X3 @ Y0 @ Y1 @ Y2))))))) != X4)) ) | ~spl6_1),
1.87/0.67	  inference(equality_resolution,[],[f179])).
1.87/0.67	thf(f179,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i > $i,X3 : ($i > $i > $o) > $i,X0 : ($i > $i > $o) > $i > $i > $i,X1 : ($i > $i > $o) > $i > $o,X4 : ($i > $i > $o) > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (sK8 @ (X1 @ Y2))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X3))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != (X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X1 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X0 @ Y0 @ Y1 @ Y2)))))))))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (X1 @ Y0))) != X3) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ (X2 @ Y2 @ Y3 @ Y4) @ (X0 @ Y2 @ Y3 @ Y4))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X4))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X0 @ Y0 @ Y1 @ Y2))))))) != X4) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X1 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X0 @ Y0 @ Y1 @ Y2)))))))))))) | ((X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X1 @ Y0)) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ (X2 @ Y0 @ Y1 @ Y2) @ (X0 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X3 @ Y1) @ (X4 @ Y1)))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X3 @ Y3) @ (X4 @ Y3)))) @ Y2 @ Y1))))))))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f178])).
1.87/0.67	thf(f178,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $i > $i,X3 : ($i > $i > $o) > $i,X0 : ($i > $i > $o) > $i > $i > $i,X1 : ($i > $i > $o) > $i > $o,X4 : ($i > $i > $o) > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (X4 @ Y2)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sF2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y5 @ (X2 @ Y5 @ Y6 @ Y7) @ (X0 @ Y5 @ Y6 @ Y7))))))) @ Y3 @ Y4))))) @ Y2)))))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sF2 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5) @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ Y0))) != X4) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X2 @ (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (sK8 @ (X1 @ Y2)) @ (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sF2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y5 @ (X2 @ Y5 @ Y6 @ Y7) @ (X0 @ Y5 @ Y6 @ Y7))))))) @ Y3 @ Y4))))) @ Y2)))))) @ Y0 @ Y1))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (X1 @ Y0))) != X3) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (X3 @ Y2)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (sK8 @ (X1 @ Y2)))))))) | ((X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X1 @ Y0)) @ (sK8 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sF2 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y3 @ (X2 @ Y3 @ Y4 @ Y5) @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ Y0))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X3 @ Y1) @ (X4 @ Y1)))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X3 @ Y3) @ (X4 @ Y3)))) @ Y2 @ Y1)))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X0 @ (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (sK8 @ (X1 @ Y2)) @ (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sF2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y5 @ (X2 @ Y5 @ Y6 @ Y7) @ (X0 @ Y5 @ Y6 @ Y7))))))) @ Y3 @ Y4))))) @ Y2)))))) @ Y0 @ Y1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))))) ) | ~spl6_1),
1.87/0.67	  inference(equality_resolution,[],[f175])).
1.87/0.67	thf(f175,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $o,X3 : ($i > $i > $o) > $i > $o,X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X3 @ Y0)) @ (sK8 @ (X2 @ Y0))))))) != (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (X3 @ Y0))) != X0) | ((^[Y0 : $i > $i > $o]: (sK8 @ (X2 @ Y0))) != X1) | ((X3 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK8 @ (X3 @ Y0)) @ (sK8 @ (X2 @ Y0))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (X1 @ Y3)))) @ Y2 @ Y1))))))))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f174])).
1.87/0.67	thf(f174,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $o,X3 : ($i > $i > $o) > $i > $o,X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ ((^[Y1 : $i > $i > $o]: (sK8 @ (X3 @ Y1))) @ Y0) @ ((^[Y1 : $i > $i > $o]: (sK8 @ (X2 @ Y1))) @ Y0)))))) != (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0))))) | ((^[Y0 : $i > $i > $o]: (X1 @ Y0)) != (^[Y0 : $i > $i > $o]: (sK8 @ (X2 @ Y0)))) | ((^[Y0 : $i > $i > $o]: (X0 @ Y0)) != (^[Y0 : $i > $i > $o]: (sK8 @ (X3 @ Y0)))) | ((X3 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ ((^[Y1 : $i > $i > $o]: (sK8 @ (X3 @ Y1))) @ Y0) @ ((^[Y1 : $i > $i > $o]: (sK8 @ (X2 @ Y1))) @ Y0)))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (X1 @ Y3)))) @ Y2 @ Y1))))))))) ) | ~spl6_1),
1.87/0.67	  inference(trivial_inequality_removal,[],[f173])).
1.87/0.67	thf(f173,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i > $o,X3 : ($i > $i > $o) > $i > $o,X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((X3 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ ((^[Y1 : $i > $i > $o]: (sK8 @ (X3 @ Y1))) @ Y0) @ ((^[Y1 : $i > $i > $o]: (sK8 @ (X2 @ Y1))) @ Y0)))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (X1 @ Y3)))) @ Y2 @ Y1)))))))) | ((^[Y0 : $i > $i > $o]: (X0 @ Y0)) != (^[Y0 : $i > $i > $o]: (sK8 @ (X3 @ Y0)))) | ((^[Y0 : $i > $i > $o]: (X1 @ Y0)) != (^[Y0 : $i > $i > $o]: (sK8 @ (X2 @ Y0)))) | ($true = $false) | ((X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ ((^[Y1 : $i > $i > $o]: (sK8 @ (X3 @ Y1))) @ Y0) @ ((^[Y1 : $i > $i > $o]: (sK8 @ (X2 @ Y1))) @ Y0)))))) != (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0)))))) ) | ~spl6_1),
1.87/0.67	  inference(constrained_superposition,[],[f136,f169])).
1.87/0.67	thf(f169,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (X1 @ Y3)))) @ Y2 @ Y1)))))))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0)))))) = $true)) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f168])).
1.87/0.67	thf(f168,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : ((((^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (X1 @ Y3)))) @ Y2 @ Y1))))))) @ (sK8 @ (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (X1 @ Y3)))) @ Y2 @ Y1))))))))) = $true)) ) | ~spl6_1),
1.87/0.67	  inference(trivial_inequality_removal,[],[f166])).
1.87/0.67	thf(f166,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : ((((^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (X1 @ Y3)))) @ Y2 @ Y1))))))) @ (sK8 @ (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (X1 @ Y3)))) @ Y2 @ Y1))))))))) = $true) | ($true = $false)) ) | ~spl6_1),
1.87/0.67	  inference(superposition,[],[f163,f62])).
1.87/0.67	thf(f62,plain,(
1.87/0.67	  ( ! [X1 : $i > $o] : (((sF2 @ X1) = $false) | ((X1 @ (sK8 @ X1)) = $true)) )),
1.87/0.67	  inference(sigma_clausification,[],[f48])).
1.87/0.67	thf(f48,plain,(
1.87/0.67	  ( ! [X1 : $i > $o] : (((?? @ $i @ X1) = $true) | ((sF2 @ X1) = $false)) )),
1.87/0.67	  inference(binary_proxy_clausification,[],[f41])).
1.87/0.67	thf(f41,plain,(
1.87/0.67	  ( ! [X1 : $i > $o] : (((sF2 @ X1) = (?? @ $i @ X1))) )),
1.87/0.67	  inference(argument_congruence,[],[f9])).
1.87/0.67	thf(f9,plain,(
1.87/0.67	  (?? @ $i = sF2)),
1.87/0.67	  introduced(function_definition,[])).
1.87/0.67	thf(f163,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((sF2 @ (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (X1 @ Y3)))) @ Y2 @ Y1)))))))) = $true)) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f162])).
1.87/0.67	thf(f162,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : ((((^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0)))))) = $true)) ) | ~spl6_1),
1.87/0.67	  inference(trivial_inequality_removal,[],[f161])).
1.87/0.67	thf(f161,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (($true = $false) | (((^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0)))))) = $true)) ) | ~spl6_1),
1.87/0.67	  inference(superposition,[],[f62,f138])).
1.87/0.67	thf(f138,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((sF2 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0))))) = $true)) ) | ~spl6_1),
1.87/0.67	  inference(trivial_inequality_removal,[],[f137])).
1.87/0.67	thf(f137,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (($true = $false) | ((sF2 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0))))) = $true)) ) | ~spl6_1),
1.87/0.67	  inference(boolean_simplification,[],[f126])).
1.87/0.67	thf(f126,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((sF2 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0))))) = $true) | (($false => (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) @ (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))))) = $false)) ) | ~spl6_1),
1.87/0.67	  inference(cases_simplifying,[],[f124])).
1.87/0.67	thf(f124,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (($false = ((sF2 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0))))) => (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) @ (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))))))) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f123])).
1.87/0.67	thf(f123,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : ((((^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) = $false)) ) | ~spl6_1),
1.87/0.67	  inference(trivial_inequality_removal,[],[f119])).
1.87/0.67	thf(f119,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (($true = $false) | (((^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) = $false)) ) | ~spl6_1),
1.87/0.67	  inference(superposition,[],[f80,f115])).
1.87/0.67	thf(f115,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((sF1 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0))))) = $false)) ) | ~spl6_1),
1.87/0.67	  inference(beta_eta_normalization,[],[f114])).
1.87/0.67	thf(f114,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : ((((^[Y0 : ($i > $i > $o) > $i]: (sF1 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (Y0 @ Y1)))))) @ X1) = $false)) ) | ~spl6_1),
1.87/0.67	  inference(trivial_inequality_removal,[],[f113])).
1.87/0.67	thf(f113,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : ((((^[Y0 : ($i > $i > $o) > $i]: (sF1 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (Y0 @ Y1)))))) @ X1) = $false) | ($true = $false)) ) | ~spl6_1),
1.87/0.67	  inference(superposition,[],[f94,f111])).
1.87/0.67	thf(f111,plain,(
1.87/0.67	  ( ! [X1 : ($i > $i > $o) > $i] : (((sF0 @ (^[Y0 : ($i > $i > $o) > $i]: (sF1 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X1 @ Y1) @ (Y0 @ Y1))))))) = $false)) ) | ~spl6_1),
1.87/0.67	  inference(backward_demodulation,[],[f46,f107])).
1.87/0.67	thf(f107,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i] : (($false = (sF3 @ X0))) ) | ~spl6_1),
1.87/0.67	  inference(trivial_inequality_removal,[],[f101])).
1.87/0.67	thf(f101,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i] : (($true = $false) | ($false = (sF3 @ X0))) ) | ~spl6_1),
1.87/0.67	  inference(superposition,[],[f94,f42])).
1.87/0.67	thf(f42,plain,(
1.87/0.67	  ((sF0 @ sF3) = $false) | ~spl6_1),
1.87/0.67	  inference(forward_demodulation,[],[f11,f21])).
1.87/0.67	thf(f21,plain,(
1.87/0.67	  ($false = sF4) | ~spl6_1),
1.87/0.67	  inference(avatar_component_clause,[],[f19])).
1.87/0.67	thf(f19,plain,(
1.87/0.67	  spl6_1 <=> ($false = sF4)),
1.87/0.67	  introduced(avatar_definition,[new_symbols(naming,[spl6_1])])).
1.87/0.67	thf(f11,plain,(
1.87/0.67	  ((sF0 @ sF3) = sF4)),
1.87/0.67	  introduced(function_definition,[])).
1.87/0.67	thf(f46,plain,(
1.87/0.67	  ( ! [X1 : ($i > $i > $o) > $i] : (((sF3 @ X1) = (sF0 @ (^[Y0 : ($i > $i > $o) > $i]: (sF1 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X1 @ Y1) @ (Y0 @ Y1))))))))) )),
1.87/0.67	  inference(beta_eta_normalization,[],[f45])).
1.87/0.67	thf(f45,plain,(
1.87/0.67	  ( ! [X1 : ($i > $i > $o) > $i] : (((sF3 @ X1) = ((^[Y0 : ($i > $i > $o) > $i]: (sF0 @ (^[Y1 : ($i > $i > $o) > $i]: (sF1 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (Y0 @ Y2) @ (Y1 @ Y2)))))))) @ X1))) )),
1.87/0.67	  inference(argument_congruence,[],[f10])).
1.87/0.67	thf(f10,plain,(
1.87/0.67	  (sF3 = (^[Y0 : ($i > $i > $o) > $i]: (sF0 @ (^[Y1 : ($i > $i > $o) > $i]: (sF1 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (Y0 @ Y2) @ (Y1 @ Y2)))))))))),
1.87/0.67	  introduced(function_definition,[])).
1.87/0.67	thf(f94,plain,(
1.87/0.67	  ( ! [X2 : ($i > $i > $o) > $i,X1 : (($i > $i > $o) > $i) > $o] : (($true = (sF0 @ X1)) | ((X1 @ X2) = $false)) )),
1.87/0.67	  inference(pi_clausification,[],[f52])).
1.87/0.67	thf(f52,plain,(
1.87/0.67	  ( ! [X1 : (($i > $i > $o) > $i) > $o] : (((?? @ (($i > $i > $o) > $i) @ X1) = $false) | ($true = (sF0 @ X1))) )),
1.87/0.67	  inference(binary_proxy_clausification,[],[f44])).
1.87/0.67	thf(f44,plain,(
1.87/0.67	  ( ! [X1 : (($i > $i > $o) > $i) > $o] : (((?? @ (($i > $i > $o) > $i) @ X1) = (sF0 @ X1))) )),
1.87/0.67	  inference(argument_congruence,[],[f7])).
1.87/0.67	thf(f7,plain,(
1.87/0.67	  (sF0 = ?? @ (($i > $i > $o) > $i))),
1.87/0.67	  introduced(function_definition,[])).
1.87/0.67	thf(f80,plain,(
1.87/0.67	  ( ! [X1 : ($i > $i > $o) > $o] : (($true = (sF1 @ X1)) | ((X1 @ (sK9 @ X1)) = $false)) )),
1.87/0.67	  inference(sigma_clausification,[],[f50])).
1.87/0.67	thf(f50,plain,(
1.87/0.67	  ( ! [X1 : ($i > $i > $o) > $o] : (((!! @ ($i > $i > $o) @ X1) = $false) | ($true = (sF1 @ X1))) )),
1.87/0.67	  inference(binary_proxy_clausification,[],[f43])).
1.87/0.67	thf(f43,plain,(
1.87/0.67	  ( ! [X1 : ($i > $i > $o) > $o] : (((!! @ ($i > $i > $o) @ X1) = (sF1 @ X1))) )),
1.87/0.67	  inference(argument_congruence,[],[f8])).
1.87/0.67	thf(f8,plain,(
1.87/0.67	  (sF1 = !! @ ($i > $i > $o))),
1.87/0.67	  introduced(function_definition,[])).
1.87/0.67	thf(f136,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) @ (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0))))))) = $false)) ) | ~spl6_1),
1.87/0.67	  inference(trivial_inequality_removal,[],[f135])).
1.87/0.67	thf(f135,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (($true = $false) | ((sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) @ (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0))))))) = $false)) ) | ~spl6_1),
1.87/0.67	  inference(boolean_simplification,[],[f127])).
1.87/0.67	thf(f127,plain,(
1.87/0.67	  ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : ((((sF2 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0))))) => $true) = $false) | ((sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) @ (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0))))))) = $false)) ) | ~spl6_1),
1.87/0.67	  inference(cases_simplifying,[],[f124])).
1.87/0.67	thf(f39,plain,(
1.87/0.67	  ~spl6_2 | ~spl6_3),
1.87/0.67	  inference(avatar_contradiction_clause,[],[f38])).
1.87/0.67	thf(f38,plain,(
1.87/0.67	  $false | (~spl6_2 | ~spl6_3)),
1.87/0.67	  inference(trivial_inequality_removal,[],[f37])).
1.87/0.67	thf(f37,plain,(
1.87/0.67	  ($true = $false) | (~spl6_2 | ~spl6_3)),
1.87/0.67	  inference(forward_demodulation,[],[f30,f25])).
1.87/0.67	thf(f25,plain,(
1.87/0.67	  (sF5 = $false) | ~spl6_2),
1.87/0.67	  inference(avatar_component_clause,[],[f23])).
1.87/0.67	thf(f23,plain,(
1.87/0.67	  spl6_2 <=> (sF5 = $false)),
1.87/0.67	  introduced(avatar_definition,[new_symbols(naming,[spl6_2])])).
1.87/0.67	thf(f30,plain,(
1.87/0.67	  (sF5 = $true) | ~spl6_3),
1.87/0.67	  inference(avatar_component_clause,[],[f28])).
1.87/0.67	thf(f28,plain,(
1.87/0.67	  spl6_3 <=> (sF5 = $true)),
1.87/0.67	  introduced(avatar_definition,[new_symbols(naming,[spl6_3])])).
1.87/0.67	thf(f36,plain,(
1.87/0.67	  spl6_3),
1.87/0.67	  inference(avatar_split_clause,[],[f13,f28])).
1.87/0.67	thf(f13,plain,(
1.87/0.67	  (sF5 = $true)),
1.87/0.67	  inference(definition_folding,[],[f6,f12,f11,f10,f9,f9,f8,f7,f7])).
1.87/0.67	thf(f12,plain,(
1.87/0.67	  ((~ sF4) = sF5)),
1.87/0.67	  introduced(function_definition,[])).
1.87/0.67	thf(f6,plain,(
1.87/0.67	  ((~ (?? @ (($i > $i > $o) > $i) @ (^[Y0 : ($i > $i > $o) > $i]: (?? @ (($i > $i > $o) > $i) @ (^[Y1 : ($i > $i > $o) > $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (Y0 @ Y2) @ (Y1 @ Y2)))))))))) = $true)),
1.87/0.67	  inference(cnf_transformation,[],[f5])).
1.87/0.67	thf(f5,plain,(
1.87/0.67	  ((~ (?? @ (($i > $i > $o) > $i) @ (^[Y0 : ($i > $i > $o) > $i]: (?? @ (($i > $i > $o) > $i) @ (^[Y1 : ($i > $i > $o) > $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (Y0 @ Y2) @ (Y1 @ Y2)))))))))) = $true)),
1.87/0.67	  inference(fool_elimination,[],[f4])).
1.87/0.67	thf(f4,plain,(
1.87/0.67	  ~? [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : ! [X2 : $i > $i > $o] : (? [X3,X4] : (X2 @ X3 @ X4) => (X2 @ (X1 @ X2) @ (X0 @ X2)))),
1.87/0.67	  inference(rectify,[],[f2])).
1.87/0.67	thf(f2,negated_conjecture,(
1.87/0.67	  ~? [X1 : ($i > $i > $o) > $i,X0 : ($i > $i > $o) > $i] : ! [X2 : $i > $i > $o] : (? [X3,X4] : (X2 @ X3 @ X4) => (X2 @ (X0 @ X2) @ (X1 @ X2)))),
1.87/0.67	  inference(negated_conjecture,[],[f1])).
1.87/0.67	thf(f1,conjecture,(
1.87/0.67	  ? [X1 : ($i > $i > $o) > $i,X0 : ($i > $i > $o) > $i] : ! [X2 : $i > $i > $o] : (? [X3,X4] : (X2 @ X3 @ X4) => (X2 @ (X0 @ X2) @ (X1 @ X2)))),
1.87/0.67	  file('/export/starexec/sandbox2/tmp/tmp.LwOLnd0O4M/E---3.1_25266.p',conj)).
1.87/0.67	thf(f26,plain,(
1.87/0.67	  spl6_1 | spl6_2),
1.87/0.67	  inference(avatar_split_clause,[],[f17,f23,f19])).
1.87/0.67	thf(f17,plain,(
1.87/0.67	  (sF5 = $false) | ($false = sF4)),
1.87/0.67	  inference(boolean_simplification,[],[f14])).
1.87/0.67	thf(f14,plain,(
1.87/0.67	  ($false = sF4) | ((~ $true) = sF5)),
1.87/0.67	  inference(cases_simplifying,[],[f12])).
1.87/0.67	% SZS output end Proof for E---3.1_25266
1.87/0.67	% (25449)------------------------------
1.87/0.67	% (25449)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.87/0.67	% (25449)Termination reason: Refutation
1.87/0.67	
1.87/0.67	% (25449)Memory used [KB]: 7675
1.87/0.67	% (25449)Time elapsed: 0.077 s
1.87/0.67	% (25449)Instructions burned: 206 (million)
1.87/0.67	% (25449)------------------------------
1.87/0.67	% (25449)------------------------------
1.87/0.67	% (25374)Success in time 0.325 s
1.87/0.67	EOF