0.02/0.13 % Problem : Vampire---4.8_17128 : TPTP v0.0.0. Released v0.0.0. 0.09/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.11/0.34 % Computer : n019.cluster.edu 0.11/0.34 % Model : x86_64 x86_64 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.34 % Memory : 8042.1875MB 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.34 % CPULimit : 1440 0.11/0.34 % WCLimit : 180 0.11/0.34 % DateTime : Mon Jul 3 12:51:34 EDT 2023 0.11/0.34 % CPUTime : 0.11/0.35 This is a THF_ problem 0.11/0.35 Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.hUult4U1xr/Vampire---4.8_17128 -m 12000 -t 180 0.16/0.36 % (17236)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1800ds/96Mi) 0.16/0.36 % (17237)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1800ds/36Mi) 0.16/0.36 % (17239)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1800ds/385Mi) 0.16/0.36 % (17240)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1800ds/17Mi) 0.16/0.36 % (17241)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1800ds/74Mi) 0.16/0.36 % (17242)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1800ds/4Mi) 0.16/0.36 % (17243)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1800ds/915Mi) 0.16/0.36 % (17238)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1800ds/34Mi) 0.16/0.36 % (17239)Refutation not found, incomplete strategy 0.16/0.36 % (17239)------------------------------ 0.16/0.36 % (17239)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.37 % (17239)Termination reason: Refutation not found, incomplete strategy 0.16/0.37 0.16/0.37 0.16/0.37 % (17239)Memory used [KB]: 5500 0.16/0.37 % (17239)Time elapsed: 0.003 s 0.16/0.37 % (17239)Instructions burned: 2 (million) 0.16/0.37 % (17239)------------------------------ 0.16/0.37 % (17239)------------------------------ 0.16/0.37 % (17243)Refutation not found, incomplete strategy 0.16/0.37 % (17243)------------------------------ 0.16/0.37 % (17243)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.37 % (17243)Termination reason: Refutation not found, incomplete strategy 0.16/0.37 0.16/0.37 0.16/0.37 % (17243)Memory used [KB]: 5500 0.16/0.37 % (17243)Time elapsed: 0.003 s 0.16/0.37 % (17243)Instructions burned: 2 (million) 0.16/0.37 % (17243)------------------------------ 0.16/0.37 % (17243)------------------------------ 0.16/0.37 % (17238)Refutation not found, incomplete strategy 0.16/0.37 % (17238)------------------------------ 0.16/0.37 % (17238)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.37 % (17238)Termination reason: Refutation not found, incomplete strategy 0.16/0.37 0.16/0.37 0.16/0.37 % (17238)Memory used [KB]: 5500 0.16/0.37 % (17238)Time elapsed: 0.003 s 0.16/0.37 % (17238)Instructions burned: 2 (million) 0.16/0.37 % (17238)------------------------------ 0.16/0.37 % (17238)------------------------------ 0.16/0.37 % (17242)Instruction limit reached! 0.16/0.37 % (17242)------------------------------ 0.16/0.37 % (17242)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.37 % (17242)Termination reason: Unknown 0.16/0.37 % (17242)Termination phase: Saturation 0.16/0.37 0.16/0.37 % (17242)Memory used [KB]: 5500 0.16/0.37 % (17242)Time elapsed: 0.004 s 0.16/0.37 % (17242)Instructions burned: 4 (million) 0.16/0.37 % (17242)------------------------------ 0.16/0.37 % (17242)------------------------------ 0.16/0.37 % (17241)Refutation not found, incomplete strategy 0.16/0.37 % (17241)------------------------------ 0.16/0.37 % (17241)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.37 % (17241)Termination reason: Refutation not found, incomplete strategy 0.16/0.37 0.16/0.37 0.16/0.37 % (17241)Memory used [KB]: 5500 0.16/0.37 % (17241)Time elapsed: 0.006 s 0.16/0.37 % (17241)Instructions burned: 8 (million) 0.16/0.37 % (17241)------------------------------ 0.16/0.37 % (17241)------------------------------ 0.16/0.37 % (17240)Instruction limit reached! 0.16/0.37 % (17240)------------------------------ 0.16/0.37 % (17240)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.37 % (17240)Termination reason: Unknown 0.16/0.37 % (17240)Termination phase: Saturation 0.16/0.37 0.16/0.37 % (17240)Memory used [KB]: 5500 0.16/0.37 % (17240)Time elapsed: 0.010 s 0.16/0.37 % (17240)Instructions burned: 19 (million) 0.16/0.37 % (17240)------------------------------ 0.16/0.37 % (17240)------------------------------ 0.16/0.38 % (17244)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (1799ds/21Mi) 0.16/0.38 % (17245)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.16/0.38 % (17246)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (1799ds/1021Mi) 0.16/0.38 % (17247)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi) 0.16/0.38 % (17237)Instruction limit reached! 0.16/0.38 % (17237)------------------------------ 0.16/0.38 % (17237)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.38 % (17237)Termination reason: Unknown 0.16/0.38 % (17237)Termination phase: Saturation 0.16/0.38 0.16/0.38 % (17237)Memory used [KB]: 5628 0.16/0.38 % (17237)Time elapsed: 0.018 s 0.16/0.38 % (17237)Instructions burned: 37 (million) 0.16/0.38 % (17237)------------------------------ 0.16/0.38 % (17237)------------------------------ 0.16/0.38 % (17246)Refutation not found, incomplete strategy 0.16/0.38 % (17246)------------------------------ 0.16/0.38 % (17246)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.38 % (17246)Termination reason: Refutation not found, incomplete strategy 0.16/0.38 0.16/0.38 0.16/0.38 % (17246)Memory used [KB]: 5500 0.16/0.38 % (17246)Time elapsed: 0.002 s 0.16/0.38 % (17246)Instructions burned: 2 (million) 0.16/0.38 % (17246)------------------------------ 0.16/0.38 % (17246)------------------------------ 0.16/0.38 % (17248)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on Vampire---4 for (1799ds/9Mi) 0.16/0.38 % (17245)Instruction limit reached! 0.16/0.38 % (17245)------------------------------ 0.16/0.38 % (17245)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.38 % (17245)Termination reason: Unknown 0.16/0.38 % (17245)Termination phase: Saturation 0.16/0.38 0.16/0.38 % (17245)Memory used [KB]: 5500 0.16/0.38 % (17245)Time elapsed: 0.005 s 0.16/0.38 % (17245)Instructions burned: 7 (million) 0.16/0.38 % (17245)------------------------------ 0.16/0.38 % (17245)------------------------------ 0.16/0.38 % (17248)Refutation not found, incomplete strategy 0.16/0.38 % (17248)------------------------------ 0.16/0.38 % (17248)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.38 % (17248)Termination reason: Refutation not found, incomplete strategy 0.16/0.38 0.16/0.38 0.16/0.38 % (17248)Memory used [KB]: 5500 0.16/0.38 % (17248)Time elapsed: 0.003 s 0.16/0.38 % (17248)Instructions burned: 3 (million) 0.16/0.38 % (17248)------------------------------ 0.16/0.38 % (17248)------------------------------ 0.16/0.39 % (17249)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi) 0.16/0.39 % (17249)Refutation not found, incomplete strategy 0.16/0.39 % (17249)------------------------------ 0.16/0.39 % (17249)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.39 % (17249)Termination reason: Refutation not found, incomplete strategy 0.16/0.39 0.16/0.39 0.16/0.39 % (17249)Memory used [KB]: 5500 0.16/0.39 % (17249)Time elapsed: 0.002 s 0.16/0.39 % (17249)Instructions burned: 1 (million) 0.16/0.39 % (17249)------------------------------ 0.16/0.39 % (17249)------------------------------ 0.16/0.39 % (17244)Instruction limit reached! 0.16/0.39 % (17244)------------------------------ 0.16/0.39 % (17244)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.39 % (17244)Termination reason: Unknown 0.16/0.39 % (17244)Termination phase: Saturation 0.16/0.39 0.16/0.39 % (17244)Memory used [KB]: 5628 0.16/0.39 % (17244)Time elapsed: 0.013 s 0.16/0.39 % (17244)Instructions burned: 22 (million) 0.16/0.39 % (17244)------------------------------ 0.16/0.39 % (17244)------------------------------ 0.16/0.39 % (17250)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi) 0.16/0.39 % (17251)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.16/0.40 % (17252)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.16/0.40 % (17253)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1799ds/2Mi) 0.16/0.40 % (17253)Instruction limit reached! 0.16/0.40 % (17253)------------------------------ 0.16/0.40 % (17253)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.40 % (17253)Termination reason: Unknown 0.16/0.40 % (17253)Termination phase: Saturation 0.16/0.40 0.16/0.40 % (17253)Memory used [KB]: 5373 0.16/0.40 % (17253)Time elapsed: 0.002 s 0.16/0.40 % (17253)Instructions burned: 2 (million) 0.16/0.40 % (17253)------------------------------ 0.16/0.40 % (17253)------------------------------ 0.16/0.40 % (17254)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (1799ds/1041Mi) 0.16/0.40 % (17252)Instruction limit reached! 0.16/0.40 % (17252)------------------------------ 0.16/0.40 % (17252)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.40 % (17252)Termination reason: Unknown 0.16/0.40 % (17252)Termination phase: Saturation 0.16/0.40 0.16/0.40 % (17252)Memory used [KB]: 5500 0.16/0.40 % (17252)Time elapsed: 0.008 s 0.16/0.40 % (17252)Instructions burned: 15 (million) 0.16/0.40 % (17252)------------------------------ 0.16/0.40 % (17252)------------------------------ 0.16/0.40 % (17236)Instruction limit reached! 0.16/0.40 % (17236)------------------------------ 0.16/0.40 % (17236)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.40 % (17236)Termination reason: Unknown 0.16/0.40 % (17236)Termination phase: Saturation 0.16/0.40 0.16/0.40 % (17236)Memory used [KB]: 5628 0.16/0.40 % (17236)Time elapsed: 0.041 s 0.16/0.40 % (17236)Instructions burned: 96 (million) 0.16/0.40 % (17236)------------------------------ 0.16/0.40 % (17236)------------------------------ 0.16/0.40 % (17255)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (1799ds/11Mi) 0.16/0.40 % (17254)Refutation not found, incomplete strategy 0.16/0.40 % (17254)------------------------------ 0.16/0.40 % (17254)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.40 % (17254)Termination reason: Refutation not found, incomplete strategy 0.16/0.40 0.16/0.40 0.16/0.40 % (17254)Memory used [KB]: 5500 0.16/0.40 % (17254)Time elapsed: 0.005 s 0.16/0.40 % (17254)Instructions burned: 7 (million) 0.16/0.40 % (17254)------------------------------ 0.16/0.40 % (17254)------------------------------ 0.16/0.41 % (17255)Instruction limit reached! 0.16/0.41 % (17255)------------------------------ 0.16/0.41 % (17255)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.41 % (17255)Termination reason: Unknown 0.16/0.41 % (17255)Termination phase: Saturation 0.16/0.41 0.16/0.41 % (17255)Memory used [KB]: 5500 0.16/0.41 % (17255)Time elapsed: 0.007 s 0.16/0.41 % (17255)Instructions burned: 12 (million) 0.16/0.41 % (17255)------------------------------ 0.16/0.41 % (17255)------------------------------ 0.16/0.41 % (17256)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (1799ds/140Mi) 0.16/0.41 % (17256)Refutation not found, incomplete strategy 0.16/0.41 % (17256)------------------------------ 0.16/0.41 % (17256)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.41 % (17256)Termination reason: Refutation not found, incomplete strategy 0.16/0.41 0.16/0.41 0.16/0.41 % (17256)Memory used [KB]: 5500 0.16/0.41 % (17256)Time elapsed: 0.002 s 0.16/0.41 % (17256)Instructions burned: 2 (million) 0.16/0.41 % (17256)------------------------------ 0.16/0.41 % (17256)------------------------------ 0.16/0.41 % (17257)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (1799ds/26Mi) 0.16/0.41 % (17247)Instruction limit reached! 0.16/0.41 % (17247)------------------------------ 0.16/0.41 % (17247)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.41 % (17247)Termination reason: Unknown 0.16/0.41 % (17247)Termination phase: Saturation 0.16/0.41 0.16/0.41 % (17247)Memory used [KB]: 5884 0.16/0.41 % (17247)Time elapsed: 0.037 s 0.16/0.41 % (17247)Instructions burned: 72 (million) 0.16/0.41 % (17247)------------------------------ 0.16/0.41 % (17247)------------------------------ 0.16/0.42 % (17258)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1799ds/56Mi) 0.16/0.42 % (17258)Refutation not found, incomplete strategy 0.16/0.42 % (17258)------------------------------ 0.16/0.42 % (17258)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.42 % (17258)Termination reason: Refutation not found, incomplete strategy 0.16/0.42 0.16/0.42 % (17259)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (1799ds/275Mi) 0.16/0.42 0.16/0.42 % (17258)Memory used [KB]: 1023 0.16/0.42 % (17258)Time elapsed: 0.002 s 0.16/0.42 % (17258)Instructions burned: 2 (million) 0.16/0.42 % (17258)------------------------------ 0.16/0.42 % (17258)------------------------------ 0.16/0.42 % (17259)Refutation not found, incomplete strategy 0.16/0.42 % (17259)------------------------------ 0.16/0.42 % (17259)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.42 % (17259)Termination reason: Refutation not found, incomplete strategy 0.16/0.42 0.16/0.42 0.16/0.42 % (17259)Memory used [KB]: 5500 0.16/0.42 % (17259)Time elapsed: 0.002 s 0.16/0.42 % (17259)Instructions burned: 1 (million) 0.16/0.42 % (17259)------------------------------ 0.16/0.42 % (17259)------------------------------ 0.16/0.42 % (17251)Instruction limit reached! 0.16/0.42 % (17251)------------------------------ 0.16/0.42 % (17251)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.42 % (17251)Termination reason: Unknown 0.16/0.42 % (17251)Termination phase: Saturation 0.16/0.42 0.16/0.42 % (17251)Memory used [KB]: 5756 0.16/0.42 % (17251)Time elapsed: 0.027 s 0.16/0.42 % (17251)Instructions burned: 62 (million) 0.16/0.42 % (17251)------------------------------ 0.16/0.42 % (17251)------------------------------ 0.16/0.42 % (17260)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1799ds/3Mi) 0.16/0.42 % (17260)Instruction limit reached! 0.16/0.42 % (17260)------------------------------ 0.16/0.42 % (17260)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.42 % (17260)Termination reason: Unknown 0.16/0.42 % (17260)Termination phase: Saturation 0.16/0.42 0.16/0.42 % (17260)Memory used [KB]: 5500 0.16/0.42 % (17260)Time elapsed: 0.003 s 0.16/0.42 % (17260)Instructions burned: 3 (million) 0.16/0.42 % (17260)------------------------------ 0.16/0.42 % (17260)------------------------------ 0.16/0.43 % (17261)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (1799ds/19Mi) 0.16/0.43 % (17257)Refutation not found, incomplete strategy 0.16/0.43 % (17257)------------------------------ 0.16/0.43 % (17257)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.43 % (17257)Termination reason: Refutation not found, incomplete strategy 0.16/0.43 0.16/0.43 0.16/0.43 % (17257)Memory used [KB]: 5756 0.16/0.43 % (17257)Time elapsed: 0.012 s 0.16/0.43 % (17257)Instructions burned: 24 (million) 0.16/0.43 % (17257)------------------------------ 0.16/0.43 % (17257)------------------------------ 0.16/0.43 % (17261)Refutation not found, incomplete strategy 0.16/0.43 % (17261)------------------------------ 0.16/0.43 % (17261)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.43 % (17261)Termination reason: Refutation not found, incomplete strategy 0.16/0.43 0.16/0.43 0.16/0.43 % (17261)Memory used [KB]: 5500 0.16/0.43 % (17261)Time elapsed: 0.003 s 0.16/0.43 % (17261)Instructions burned: 3 (million) 0.16/0.43 % (17261)------------------------------ 0.16/0.43 % (17261)------------------------------ 0.16/0.43 % (17262)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on Vampire---4 for (1799ds/44Mi) 0.16/0.43 % (17263)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on Vampire---4 for (1799ds/191Mi) 0.16/0.43 % (17264)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (1799ds/62Mi) 0.16/0.43 % (17265)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=105:si=on:rtra=on_0 on Vampire---4 for (1799ds/105Mi) 0.16/0.43 % (17265)Refutation not found, incomplete strategy 0.16/0.43 % (17265)------------------------------ 0.16/0.43 % (17265)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.43 % (17265)Termination reason: Refutation not found, incomplete strategy 0.16/0.43 0.16/0.43 0.16/0.43 % (17265)Memory used [KB]: 5500 0.16/0.43 % (17265)Time elapsed: 0.002 s 0.16/0.43 % (17265)Instructions burned: 1 (million) 0.16/0.43 % (17265)------------------------------ 0.16/0.43 % (17265)------------------------------ 0.16/0.44 % (17266)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1799ds/3Mi) 0.16/0.44 % (17266)Instruction limit reached! 0.16/0.44 % (17266)------------------------------ 0.16/0.44 % (17266)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.44 % (17266)Termination reason: Unknown 0.16/0.44 % (17266)Termination phase: Saturation 0.16/0.44 0.16/0.44 % (17266)Memory used [KB]: 5500 0.16/0.44 % (17266)Time elapsed: 0.003 s 0.16/0.44 % (17266)Instructions burned: 3 (million) 0.16/0.44 % (17266)------------------------------ 0.16/0.44 % (17266)------------------------------ 0.16/0.44 % (17267)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=238:si=on:rtra=on_0 on Vampire---4 for (1799ds/238Mi) 0.16/0.44 % (17268)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1799ds/3Mi) 0.16/0.44 % (17268)Instruction limit reached! 0.16/0.44 % (17268)------------------------------ 0.16/0.44 % (17268)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.44 % (17268)Termination reason: Unknown 0.16/0.44 % (17268)Termination phase: Saturation 0.16/0.44 0.16/0.44 % (17268)Memory used [KB]: 5500 0.16/0.44 % (17268)Time elapsed: 0.003 s 0.16/0.44 % (17268)Instructions burned: 3 (million) 0.16/0.44 % (17268)------------------------------ 0.16/0.44 % (17268)------------------------------ 0.16/0.45 % (17250)Instruction limit reached! 0.16/0.45 % (17250)------------------------------ 0.16/0.45 % (17250)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.45 % (17250)Termination reason: Unknown 0.16/0.45 % (17250)Termination phase: Saturation 0.16/0.45 0.16/0.45 % (17250)Memory used [KB]: 5756 0.16/0.45 % (17250)Time elapsed: 0.054 s 0.16/0.45 % (17250)Instructions burned: 130 (million) 0.16/0.45 % (17250)------------------------------ 0.16/0.45 % (17250)------------------------------ 0.16/0.45 % (17269)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi) 0.16/0.45 % (17262)Instruction limit reached! 0.16/0.45 % (17262)------------------------------ 0.16/0.45 % (17262)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.45 % (17262)Termination reason: Unknown 0.16/0.45 % (17262)Termination phase: Saturation 0.16/0.45 0.16/0.45 % (17262)Memory used [KB]: 1151 0.16/0.45 % (17262)Time elapsed: 0.021 s 0.16/0.45 % (17262)Instructions burned: 45 (million) 0.16/0.45 % (17262)------------------------------ 0.16/0.45 % (17262)------------------------------ 0.16/0.45 % (17269)Instruction limit reached! 0.16/0.45 % (17269)------------------------------ 0.16/0.45 % (17269)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.45 % (17269)Termination reason: Unknown 0.16/0.45 % (17269)Termination phase: Saturation 0.16/0.45 0.16/0.45 % (17269)Memory used [KB]: 5500 0.16/0.45 % (17269)Time elapsed: 0.004 s 0.16/0.45 % (17269)Instructions burned: 5 (million) 0.16/0.45 % (17269)------------------------------ 0.16/0.45 % (17269)------------------------------ 0.16/0.45 % (17270)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on Vampire---4 for (1799ds/149Mi) 0.16/0.45 % (17270)Refutation not found, incomplete strategy 0.16/0.45 % (17270)------------------------------ 0.16/0.45 % (17270)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.45 % (17270)Termination reason: Refutation not found, incomplete strategy 0.16/0.45 0.16/0.45 0.16/0.45 % (17270)Memory used [KB]: 5500 0.16/0.45 % (17270)Time elapsed: 0.027 s 0.16/0.45 % (17270)Instructions burned: 3 (million) 0.16/0.45 % (17270)------------------------------ 0.16/0.45 % (17270)------------------------------ 0.16/0.45 % (17271)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on Vampire---4 for (1799ds/150Mi) 0.16/0.46 % (17264)Instruction limit reached! 0.16/0.46 % (17264)------------------------------ 0.16/0.46 % (17264)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.46 % (17264)Termination reason: Unknown 0.16/0.46 % (17264)Termination phase: Saturation 0.16/0.46 0.16/0.46 % (17264)Memory used [KB]: 5756 0.16/0.46 % (17264)Time elapsed: 0.028 s 0.16/0.46 % (17264)Instructions burned: 62 (million) 0.16/0.46 % (17264)------------------------------ 0.16/0.46 % (17264)------------------------------ 0.16/0.46 % (17272)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=199:si=on:rtra=on_0 on Vampire---4 for (1798ds/199Mi) 0.16/0.46 % (17273)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (1798ds/39Mi) 0.16/0.46 % (17272)Refutation not found, incomplete strategy 0.16/0.46 % (17272)------------------------------ 0.16/0.46 % (17272)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.46 % (17272)Termination reason: Refutation not found, incomplete strategy 0.16/0.46 0.16/0.46 0.16/0.46 % (17272)Memory used [KB]: 5500 0.16/0.46 % (17272)Time elapsed: 0.003 s 0.16/0.46 % (17272)Instructions burned: 3 (million) 0.16/0.46 % (17272)------------------------------ 0.16/0.46 % (17272)------------------------------ 0.16/0.46 % (17273)Refutation not found, incomplete strategy 0.16/0.46 % (17273)------------------------------ 0.16/0.46 % (17273)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.46 % (17273)Termination reason: Refutation not found, incomplete strategy 0.16/0.46 0.16/0.46 0.16/0.46 % (17273)Memory used [KB]: 5500 0.16/0.46 % (17273)Time elapsed: 0.002 s 0.16/0.46 % (17273)Instructions burned: 1 (million) 0.16/0.46 % (17273)------------------------------ 0.16/0.46 % (17273)------------------------------ 0.16/0.46 % (17274)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=721:si=on:rtra=on_0 on Vampire---4 for (1798ds/721Mi) 0.16/0.47 % (17275)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi) 0.16/0.47 % (17275)Instruction limit reached! 0.16/0.47 % (17275)------------------------------ 0.16/0.47 % (17275)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.47 % (17275)Termination reason: Unknown 0.16/0.47 % (17275)Termination phase: Saturation 0.16/0.47 0.16/0.47 % (17275)Memory used [KB]: 1023 0.16/0.47 % (17275)Time elapsed: 0.003 s 0.16/0.47 % (17275)Instructions burned: 3 (million) 0.16/0.47 % (17275)------------------------------ 0.16/0.47 % (17275)------------------------------ 0.16/0.47 % (17276)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (1798ds/18Mi) 0.16/0.47 % (17276)Refutation not found, incomplete strategy 0.16/0.47 % (17276)------------------------------ 0.16/0.47 % (17276)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.47 % (17276)Termination reason: Refutation not found, incomplete strategy 0.16/0.47 0.16/0.47 0.16/0.47 % (17276)Memory used [KB]: 5500 0.16/0.47 % (17276)Time elapsed: 0.002 s 0.16/0.47 % (17276)Instructions burned: 1 (million) 0.16/0.47 % (17276)------------------------------ 0.16/0.47 % (17276)------------------------------ 0.16/0.47 % (17277)lrs+10_1:1_au=on:c=on:sac=on:slsq=on:slsqc=2:i=218:si=on:rtra=on_0 on Vampire---4 for (1798ds/218Mi) 0.16/0.47 % (17278)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on Vampire---4 for (1798ds/448Mi) 0.16/0.48 % (17277)Refutation not found, incomplete strategy 0.16/0.48 % (17277)------------------------------ 0.16/0.48 % (17277)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.48 % (17277)Termination reason: Refutation not found, incomplete strategy 0.16/0.48 0.16/0.48 0.16/0.48 % (17277)Memory used [KB]: 5500 0.16/0.48 % (17277)Time elapsed: 0.003 s 0.16/0.48 % (17277)Instructions burned: 3 (million) 0.16/0.48 % (17277)------------------------------ 0.16/0.48 % (17277)------------------------------ 0.16/0.48 % (17279)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (1798ds/6Mi) 0.16/0.48 % (17279)Instruction limit reached! 0.16/0.48 % (17279)------------------------------ 0.16/0.48 % (17279)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.48 % (17279)Termination reason: Unknown 0.16/0.48 % (17279)Termination phase: Saturation 0.16/0.48 0.16/0.48 % (17279)Memory used [KB]: 5500 0.16/0.48 % (17279)Time elapsed: 0.005 s 0.16/0.48 % (17279)Instructions burned: 7 (million) 0.16/0.48 % (17279)------------------------------ 0.16/0.48 % (17279)------------------------------ 0.16/0.49 % (17280)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=9:si=on:rtra=on_0 on Vampire---4 for (1798ds/9Mi) 0.16/0.49 % (17280)Refutation not found, incomplete strategy 0.16/0.49 % (17280)------------------------------ 0.16/0.49 % (17280)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.49 % (17280)Termination reason: Refutation not found, incomplete strategy 0.16/0.49 0.16/0.49 0.16/0.49 % (17280)Memory used [KB]: 5500 0.16/0.49 % (17280)Time elapsed: 0.002 s 0.16/0.49 % (17280)Instructions burned: 1 (million) 0.16/0.49 % (17280)------------------------------ 0.16/0.49 % (17280)------------------------------ 0.16/0.49 % (17281)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (1798ds/16Mi) 0.16/0.50 % (17282)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=40:si=on:rtra=on_0 on Vampire---4 for (1798ds/40Mi) 0.16/0.50 % (17281)Instruction limit reached! 0.16/0.50 % (17281)------------------------------ 0.16/0.50 % (17281)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.50 % (17281)Termination reason: Unknown 0.16/0.50 % (17281)Termination phase: Saturation 0.16/0.50 0.16/0.50 % (17281)Memory used [KB]: 5628 0.16/0.50 % (17281)Time elapsed: 0.010 s 0.16/0.50 % (17281)Instructions burned: 17 (million) 0.16/0.50 % (17281)------------------------------ 0.16/0.50 % (17281)------------------------------ 0.16/0.50 % (17282)Refutation not found, incomplete strategy 0.16/0.50 % (17282)------------------------------ 0.16/0.50 % (17282)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.50 % (17282)Termination reason: Refutation not found, incomplete strategy 0.16/0.50 0.16/0.50 0.16/0.50 % (17282)Memory used [KB]: 5500 0.16/0.50 % (17282)Time elapsed: 0.002 s 0.16/0.50 % (17282)Instructions burned: 1 (million) 0.16/0.50 % (17282)------------------------------ 0.16/0.50 % (17282)------------------------------ 0.16/0.50 % (17283)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (1798ds/2Mi) 0.16/0.50 % (17283)Refutation not found, incomplete strategy 0.16/0.50 % (17283)------------------------------ 0.16/0.50 % (17283)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.50 % (17283)Termination reason: Refutation not found, incomplete strategy 0.16/0.50 0.16/0.50 0.16/0.50 % (17283)Memory used [KB]: 5500 0.16/0.50 % (17283)Time elapsed: 0.002 s 0.16/0.50 % (17283)Instructions burned: 1 (million) 0.16/0.50 % (17283)------------------------------ 0.16/0.50 % (17283)------------------------------ 0.16/0.51 % (17263)Instruction limit reached! 0.16/0.51 % (17263)------------------------------ 0.16/0.51 % (17263)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.51 % (17263)Termination reason: Unknown 0.16/0.51 % (17263)Termination phase: Saturation 0.16/0.51 0.16/0.51 % (17263)Memory used [KB]: 6140 0.16/0.51 % (17263)Time elapsed: 0.079 s 0.16/0.51 % (17263)Instructions burned: 191 (million) 0.16/0.51 % (17263)------------------------------ 0.16/0.51 % (17263)------------------------------ 0.16/0.51 % (17284)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 Vampire---4 for (1798ds/98Mi) 0.16/0.51 % (17285)lrs+1004_1:1_chr=on:prag=on:i=8:si=on:rtra=on_0 on Vampire---4 for (1798ds/8Mi) 0.16/0.51 % (17285)Refutation not found, incomplete strategy 0.16/0.51 % (17285)------------------------------ 0.16/0.51 % (17285)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.51 % (17285)Termination reason: Refutation not found, incomplete strategy 0.16/0.51 0.16/0.51 0.16/0.51 % (17285)Memory used [KB]: 5500 0.16/0.51 % (17285)Time elapsed: 0.002 s 0.16/0.51 % (17285)Instructions burned: 1 (million) 0.16/0.51 % (17285)------------------------------ 0.16/0.51 % (17285)------------------------------ 0.16/0.51 % (17284)Refutation not found, incomplete strategy 0.16/0.51 % (17284)------------------------------ 0.16/0.51 % (17284)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.51 % (17284)Termination reason: Refutation not found, incomplete strategy 0.16/0.51 0.16/0.51 0.16/0.51 % (17284)Memory used [KB]: 1023 0.16/0.51 % (17284)Time elapsed: 0.004 s 0.16/0.51 % (17284)Instructions burned: 5 (million) 0.16/0.51 % (17284)------------------------------ 0.16/0.51 % (17284)------------------------------ 0.16/0.51 % (17286)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 Vampire---4 for (1798ds/86Mi) 0.16/0.52 % (17271)Instruction limit reached! 0.16/0.52 % (17271)------------------------------ 0.16/0.52 % (17271)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.52 % (17271)Termination reason: Unknown 0.16/0.52 % (17271)Termination phase: Saturation 0.16/0.52 0.16/0.52 % (17271)Memory used [KB]: 5884 0.16/0.52 % (17271)Time elapsed: 0.062 s 0.16/0.52 % (17271)Instructions burned: 150 (million) 0.16/0.52 % (17271)------------------------------ 0.16/0.52 % (17271)------------------------------ 0.16/0.52 % (17286)Refutation not found, incomplete strategy 0.16/0.52 % (17286)------------------------------ 0.16/0.52 % (17286)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.52 % (17286)Termination reason: Refutation not found, incomplete strategy 0.16/0.52 0.16/0.52 0.16/0.52 % (17286)Memory used [KB]: 5500 0.16/0.52 % (17286)Time elapsed: 0.003 s 0.16/0.52 % (17286)Instructions burned: 3 (million) 0.16/0.52 % (17286)------------------------------ 0.16/0.52 % (17286)------------------------------ 0.16/0.52 % (17287)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 Vampire---4 for (1798ds/3Mi) 0.16/0.52 % (17287)Instruction limit reached! 0.16/0.52 % (17287)------------------------------ 0.16/0.52 % (17287)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.52 % (17287)Termination reason: Unknown 0.16/0.52 % (17287)Termination phase: Saturation 0.16/0.52 0.16/0.52 % (17287)Memory used [KB]: 5500 0.16/0.52 % (17287)Time elapsed: 0.003 s 0.16/0.52 % (17287)Instructions burned: 3 (million) 0.16/0.52 % (17287)------------------------------ 0.16/0.52 % (17287)------------------------------ 0.16/0.53 % (17288)lrs+1010_1:1024_au=on:hud=10:ntd=on:ss=included:i=294:si=on:rtra=on_0 on Vampire---4 for (1798ds/294Mi) 0.16/0.53 % (17289)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=274:si=on:rtra=on_0 on Vampire---4 for (1798ds/274Mi) 0.16/0.53 % (17288)Refutation not found, incomplete strategy 0.16/0.53 % (17288)------------------------------ 0.16/0.53 % (17288)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.53 % (17288)Termination reason: Refutation not found, incomplete strategy 0.16/0.53 0.16/0.53 0.16/0.53 % (17288)Memory used [KB]: 5500 0.16/0.53 % (17288)Time elapsed: 0.002 s 0.16/0.53 % (17288)Instructions burned: 2 (million) 0.16/0.53 % (17288)------------------------------ 0.16/0.53 % (17288)------------------------------ 0.16/0.53 % (17289)Refutation not found, incomplete strategy 0.16/0.53 % (17289)------------------------------ 0.16/0.53 % (17289)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.53 % (17289)Termination reason: Refutation not found, incomplete strategy 0.16/0.53 0.16/0.53 0.16/0.53 % (17289)Memory used [KB]: 5500 0.16/0.53 % (17289)Time elapsed: 0.002 s 0.16/0.53 % (17289)Instructions burned: 2 (million) 0.16/0.53 % (17289)------------------------------ 0.16/0.53 % (17289)------------------------------ 0.16/0.53 % (17290)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (1798ds/47Mi) 0.16/0.53 % (17291)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 Vampire---4 for (1798ds/37Mi) 0.16/0.54 % (17292)lrs+1002_1:16_av=off:e2e=on:fe=axiom:prag=on:sos=on:ss=axioms:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi) 0.16/0.54 % (17291)Refutation not found, incomplete strategy 0.16/0.54 % (17291)------------------------------ 0.16/0.54 % (17291)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.54 % (17291)Termination reason: Refutation not found, incomplete strategy 0.16/0.54 0.16/0.54 0.16/0.54 % (17291)Memory used [KB]: 5628 0.16/0.54 % (17291)Time elapsed: 0.007 s 0.16/0.54 % (17291)Instructions burned: 12 (million) 0.16/0.54 % (17291)------------------------------ 0.16/0.54 % (17291)------------------------------ 0.16/0.54 % (17267)Instruction limit reached! 0.16/0.54 % (17267)------------------------------ 0.16/0.54 % (17267)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.54 % (17267)Termination reason: Unknown 0.16/0.54 % (17267)Termination phase: Saturation 0.16/0.54 0.16/0.54 % (17267)Memory used [KB]: 6012 0.16/0.54 % (17267)Time elapsed: 0.120 s 0.16/0.54 % (17267)Instructions burned: 240 (million) 0.16/0.54 % (17267)------------------------------ 0.16/0.54 % (17267)------------------------------ 0.16/0.54 % (17292)Refutation not found, incomplete strategy 0.16/0.54 % (17292)------------------------------ 0.16/0.54 % (17292)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.54 % (17292)Termination reason: Refutation not found, incomplete strategy 0.16/0.54 0.16/0.54 0.16/0.54 % (17292)Memory used [KB]: 1023 0.16/0.54 % (17292)Time elapsed: 0.002 s 0.16/0.54 % (17292)Instructions burned: 2 (million) 0.16/0.54 % (17292)------------------------------ 0.16/0.54 % (17292)------------------------------ 0.16/0.54 % (17293)lrs+10_8:1_au=on:e2e=on:hfsq=on:hfsqc=1:ins=3:s2a=on:s2at=3.0:ss=axioms:i=19:si=on:rtra=on_0 on Vampire---4 for (1798ds/19Mi) 0.16/0.54 % (17294)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:i=5:si=on:rtra=on_0 on Vampire---4 for (1798ds/5Mi) 0.16/0.54 % (17293)Refutation not found, incomplete strategy 0.16/0.54 % (17293)------------------------------ 0.16/0.54 % (17293)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.54 % (17293)Termination reason: Refutation not found, incomplete strategy 0.16/0.54 0.16/0.54 0.16/0.54 % (17293)Memory used [KB]: 5500 0.16/0.54 % (17293)Time elapsed: 0.002 s 0.16/0.54 % (17293)Instructions burned: 1 (million) 0.16/0.54 % (17293)------------------------------ 0.16/0.54 % (17293)------------------------------ 0.16/0.54 % (17294)Instruction limit reached! 0.16/0.54 % (17294)------------------------------ 0.16/0.54 % (17294)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.54 % (17294)Termination reason: Unknown 0.16/0.54 % (17294)Termination phase: Saturation 0.16/0.54 0.16/0.54 % (17294)Memory used [KB]: 1023 0.16/0.54 % (17294)Time elapsed: 0.004 s 0.16/0.54 % (17294)Instructions burned: 5 (million) 0.16/0.54 % (17294)------------------------------ 0.16/0.54 % (17294)------------------------------ 0.16/0.55 % (17290)Instruction limit reached! 0.16/0.55 % (17290)------------------------------ 0.16/0.55 % (17290)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.55 % (17290)Termination reason: Unknown 0.16/0.55 % (17290)Termination phase: Saturation 0.16/0.55 0.16/0.55 % (17290)Memory used [KB]: 5628 0.16/0.55 % (17290)Time elapsed: 0.021 s 0.16/0.55 % (17290)Instructions burned: 47 (million) 0.16/0.55 % (17290)------------------------------ 0.16/0.55 % (17290)------------------------------ 0.16/0.55 % (17295)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=44:si=on:rtra=on_0 on Vampire---4 for (1798ds/44Mi) 0.16/0.55 % (17296)ott+21_1:3_bd=off:cnfonf=lazy_gen:fe=off:hfsq=on:hfsqc=3:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=450:si=on:rtra=on_0 on Vampire---4 for (1798ds/450Mi) 0.16/0.55 % (17297)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=102:si=on:rtra=on_0 on Vampire---4 for (1798ds/102Mi) 0.16/0.55 % (17297)Refutation not found, incomplete strategy 0.16/0.55 % (17297)------------------------------ 0.16/0.55 % (17297)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.55 % (17297)Termination reason: Refutation not found, incomplete strategy 0.16/0.55 0.16/0.55 0.16/0.55 % (17297)Memory used [KB]: 5500 0.16/0.55 % (17297)Time elapsed: 0.002 s 0.16/0.55 % (17297)Instructions burned: 1 (million) 0.16/0.55 % (17297)------------------------------ 0.16/0.55 % (17297)------------------------------ 0.16/0.55 % (17298)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on Vampire---4 for (1798ds/134Mi) 0.16/0.55 % (17295)Refutation not found, incomplete strategy 0.16/0.55 % (17295)------------------------------ 0.16/0.55 % (17295)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.55 % (17295)Termination reason: Refutation not found, incomplete strategy 0.16/0.55 0.16/0.55 0.16/0.55 % (17295)Memory used [KB]: 10106 0.16/0.55 % (17295)Time elapsed: 0.007 s 0.16/0.55 % (17295)Instructions burned: 10 (million) 0.16/0.55 % (17295)------------------------------ 0.16/0.55 % (17295)------------------------------ 0.16/0.56 % (17299)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on Vampire---4 for (1798ds/204Mi) 0.16/0.56 % (17299)Refutation not found, incomplete strategy 0.16/0.56 % (17299)------------------------------ 0.16/0.56 % (17299)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.56 % (17299)Termination reason: Refutation not found, incomplete strategy 0.16/0.56 0.16/0.56 0.16/0.56 % (17299)Memory used [KB]: 5500 0.16/0.56 % (17299)Time elapsed: 0.002 s 0.16/0.56 % (17296)Refutation not found, incomplete strategy 0.16/0.56 % (17296)------------------------------ 0.16/0.56 % (17296)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.56 % (17299)Instructions burned: 1 (million) 0.16/0.56 % (17299)------------------------------ 0.16/0.56 % (17299)------------------------------ 0.16/0.56 % (17296)Termination reason: Refutation not found, incomplete strategy 0.16/0.56 0.16/0.56 0.16/0.56 % (17296)Memory used [KB]: 5628 0.16/0.56 % (17296)Time elapsed: 0.009 s 0.16/0.56 % (17296)Instructions burned: 16 (million) 0.16/0.56 % (17296)------------------------------ 0.16/0.56 % (17296)------------------------------ 1.70/0.56 % (17300)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 Vampire---4 for (1798ds/154Mi) 1.70/0.56 % (17301)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=424:si=on:rtra=on_0 on Vampire---4 for (1798ds/424Mi) 1.70/0.57 % (17301)Refutation not found, incomplete strategy 1.70/0.57 % (17301)------------------------------ 1.70/0.57 % (17301)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.70/0.57 % (17301)Termination reason: Refutation not found, incomplete strategy 1.70/0.57 1.70/0.57 1.70/0.57 % (17301)Memory used [KB]: 5500 1.70/0.57 % (17301)Time elapsed: 0.003 s 1.70/0.57 % (17301)Instructions burned: 2 (million) 1.70/0.57 % (17301)------------------------------ 1.70/0.57 % (17301)------------------------------ 1.70/0.57 % (17302)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 Vampire---4 for (1798ds/41Mi) 1.70/0.57 % (17302)Refutation not found, incomplete strategy 1.70/0.57 % (17302)------------------------------ 1.70/0.57 % (17302)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.70/0.57 % (17302)Termination reason: Refutation not found, incomplete strategy 1.70/0.57 1.70/0.57 1.70/0.57 % (17302)Memory used [KB]: 5500 1.70/0.57 % (17302)Time elapsed: 0.003 s 1.70/0.57 % (17302)Instructions burned: 3 (million) 1.70/0.57 % (17302)------------------------------ 1.70/0.57 % (17302)------------------------------ 1.70/0.57 % (17303)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 Vampire---4 for (1798ds/231Mi) 1.70/0.57 % (17304)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on Vampire---4 for (1798ds/70Mi) 1.79/0.58 % (17305)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=297:si=on:rtra=on_0 on Vampire---4 for (1797ds/297Mi) 1.79/0.58 % (17305)Refutation not found, incomplete strategy 1.79/0.58 % (17305)------------------------------ 1.79/0.58 % (17305)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.79/0.58 % (17305)Termination reason: Refutation not found, incomplete strategy 1.79/0.58 1.79/0.58 1.79/0.58 % (17305)Memory used [KB]: 5500 1.79/0.58 % (17305)Time elapsed: 0.002 s 1.79/0.58 % (17305)Instructions burned: 2 (million) 1.79/0.58 % (17305)------------------------------ 1.79/0.58 % (17305)------------------------------ 1.79/0.58 % (17306)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 Vampire---4 for (1797ds/182Mi) 1.79/0.59 % (17307)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=130:si=on:rtra=on_0 on Vampire---4 for (1797ds/130Mi) 1.79/0.60 % (17304)Instruction limit reached! 1.79/0.60 % (17304)------------------------------ 1.79/0.60 % (17304)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.79/0.60 % (17304)Termination reason: Unknown 1.79/0.60 % (17304)Termination phase: Saturation 1.79/0.60 1.79/0.60 % (17304)Memory used [KB]: 1407 1.79/0.60 % (17304)Time elapsed: 0.054 s 1.79/0.60 % (17304)Instructions burned: 72 (million) 1.79/0.60 % (17304)------------------------------ 1.79/0.60 % (17304)------------------------------ 1.79/0.62 % (17308)lrs+21_1:16_au=on:cbe=off:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=7,4:i=570:si=on:rtra=on_0 on Vampire---4 for (1797ds/570Mi) 1.79/0.62 % (17298)Instruction limit reached! 1.79/0.62 % (17298)------------------------------ 1.79/0.62 % (17298)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.79/0.62 % (17298)Termination reason: Unknown 1.79/0.62 % (17298)Termination phase: Saturation 1.79/0.62 1.79/0.62 % (17298)Memory used [KB]: 6268 1.79/0.62 % (17298)Time elapsed: 0.066 s 1.79/0.62 % (17298)Instructions burned: 134 (million) 1.79/0.62 % (17298)------------------------------ 1.79/0.62 % (17298)------------------------------ 1.79/0.62 % (17308)Refutation not found, incomplete strategy 1.79/0.62 % (17308)------------------------------ 1.79/0.62 % (17308)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.79/0.62 % (17308)Termination reason: Refutation not found, incomplete strategy 1.79/0.62 1.79/0.62 1.79/0.62 % (17308)Memory used [KB]: 5500 1.79/0.62 % (17308)Time elapsed: 0.005 s 1.79/0.62 % (17308)Instructions burned: 6 (million) 1.79/0.62 % (17308)------------------------------ 1.79/0.62 % (17308)------------------------------ 1.79/0.63 % (17300)Instruction limit reached! 1.79/0.63 % (17300)------------------------------ 1.79/0.63 % (17300)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.79/0.63 % (17300)Termination reason: Unknown 1.79/0.63 % (17300)Termination phase: Saturation 1.79/0.63 1.79/0.63 % (17300)Memory used [KB]: 6268 1.79/0.63 % (17300)Time elapsed: 0.070 s 1.79/0.63 % (17300)Instructions burned: 155 (million) 1.79/0.63 % (17300)------------------------------ 1.79/0.63 % (17300)------------------------------ 1.79/0.63 % (17309)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 Vampire---4 for (1797ds/297Mi) 1.79/0.63 % (17310)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=190:si=on:rtra=on_0 on Vampire---4 for (1797ds/190Mi) 1.79/0.63 % (17310)Refutation not found, incomplete strategy 1.79/0.63 % (17310)------------------------------ 1.79/0.63 % (17310)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.79/0.63 % (17310)Termination reason: Refutation not found, incomplete strategy 1.79/0.63 1.79/0.63 1.79/0.63 % (17310)Memory used [KB]: 5500 1.79/0.63 % (17310)Time elapsed: 0.002 s 1.79/0.63 % (17310)Instructions burned: 2 (million) 1.79/0.63 % (17310)------------------------------ 1.79/0.63 % (17310)------------------------------ 2.16/0.64 % (17303)First to succeed. 2.16/0.64 % (17311)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on Vampire---4 for (1797ds/96Mi) 2.16/0.65 % (17312)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 Vampire---4 for (1797ds/182Mi) 2.16/0.65 % (17312)Refutation not found, incomplete strategy 2.16/0.65 % (17312)------------------------------ 2.16/0.65 % (17312)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.16/0.65 % (17312)Termination reason: Refutation not found, incomplete strategy 2.16/0.65 2.16/0.65 2.16/0.65 % (17312)Memory used [KB]: 5500 2.16/0.65 % (17312)Time elapsed: 0.002 s 2.16/0.65 % (17312)Instructions burned: 1 (million) 2.16/0.65 % (17312)------------------------------ 2.16/0.65 % (17312)------------------------------ 2.21/0.65 % (17303)Refutation found. Thanks to Tanya! 2.21/0.65 % SZS status Theorem for Vampire---4 2.21/0.65 % SZS output start Proof for Vampire---4 2.21/0.65 thf(type_def_5, type, a: $tType). 2.21/0.65 thf(type_def_6, type, b: $tType). 2.21/0.65 thf(func_def_0, type, a: $tType). 2.21/0.65 thf(func_def_1, type, b: $tType). 2.21/0.65 thf(func_def_13, type, sF0: (((a > b > $o) > a) > $o) > $o). 2.21/0.65 thf(func_def_14, type, sF1: (((a > b > $o) > b) > $o) > $o). 2.21/0.65 thf(func_def_15, type, sF2: ((a > b > $o) > $o) > $o). 2.21/0.65 thf(func_def_16, type, sF3: (b > $o) > $o). 2.21/0.65 thf(func_def_17, type, sF4: (a > $o) > $o). 2.21/0.65 thf(func_def_18, type, sF5: ((a > b > $o) > a) > $o). 2.21/0.65 thf(func_def_22, type, ph9: !>[X0: $tType]:(X0)). 2.21/0.65 thf(func_def_23, type, sK10: (b > $o) > b). 2.21/0.65 thf(func_def_24, type, sK11: (a > $o) > a). 2.21/0.65 thf(func_def_25, type, sK12: ((a > b > $o) > $o) > a > b > $o). 2.21/0.65 thf(func_def_26, type, sK13: (((a > b > $o) > a) > $o) > (a > b > $o) > a). 2.21/0.65 thf(func_def_27, type, sK14: (((a > b > $o) > b) > $o) > (a > b > $o) > b). 2.21/0.65 thf(func_def_29, type, sK15: ((a > b > $o) > b > a > b) > ((a > b > $o) > b > a > b) > a > b > $o). 2.21/0.65 thf(func_def_30, type, sK16: ((a > b > $o) > a > b) > ((a > b > $o) > a > b) > a). 2.21/0.65 thf(func_def_31, type, sK17: ((a > b > $o) > a > b) > ((a > b > $o) > a > b) > a > b > $o). 2.21/0.65 thf(func_def_34, type, sK18: ((a > b > $o) > a > b > a > a) > b). 2.21/0.65 thf(func_def_35, type, sK19: ((a > b > $o) > a > b > a > a) > a). 2.21/0.65 thf(f267,plain,( 2.21/0.65 $false), 2.21/0.65 inference(avatar_sat_refutation,[],[f28,f38,f263,f266])). 2.21/0.65 thf(f266,plain,( 2.21/0.65 ~spl8_1 | ~spl8_3), 2.21/0.65 inference(avatar_contradiction_clause,[],[f265])). 2.21/0.65 thf(f265,plain,( 2.21/0.65 $false | (~spl8_1 | ~spl8_3)), 2.21/0.65 inference(trivial_inequality_removal,[],[f264])). 2.21/0.65 thf(f264,plain,( 2.21/0.65 ($true = $false) | (~spl8_1 | ~spl8_3)), 2.21/0.65 inference(backward_demodulation,[],[f32,f23])). 2.21/0.65 thf(f23,plain,( 2.21/0.65 (sF7 = $false) | ~spl8_1), 2.21/0.65 inference(avatar_component_clause,[],[f21])). 2.21/0.65 thf(f21,plain,( 2.21/0.65 spl8_1 <=> (sF7 = $false)), 2.21/0.65 introduced(avatar_definition,[new_symbols(naming,[spl8_1])])). 2.21/0.65 thf(f32,plain,( 2.21/0.65 ($true = sF7) | ~spl8_3), 2.21/0.65 inference(avatar_component_clause,[],[f30])). 2.21/0.65 thf(f30,plain,( 2.21/0.65 spl8_3 <=> ($true = sF7)), 2.21/0.65 introduced(avatar_definition,[new_symbols(naming,[spl8_3])])). 2.21/0.65 thf(f263,plain,( 2.21/0.65 ~spl8_2), 2.21/0.65 inference(avatar_contradiction_clause,[],[f262])). 2.21/0.65 thf(f262,plain,( 2.21/0.65 $false | ~spl8_2), 2.21/0.65 inference(trivial_inequality_removal,[],[f261])). 2.21/0.65 thf(f261,plain,( 2.21/0.65 ((sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ Y2 @ Y1)))))))) != (sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ Y2 @ Y1))))))))) | ((^[Y0 : a > b > $o]: ((^[Y1 : a]: ((^[Y2 : b]: ((^[Y3 : a]: (Y0 @ Y3 @ Y2)))))))) != (^[Y0 : a > b > $o]: ((^[Y1 : a]: ((^[Y2 : b]: ((^[Y3 : a]: (Y0 @ Y3 @ Y2))))))))) | ~spl8_2), 2.21/0.65 inference(beta_eta_normalization,[],[f260])). 2.21/0.65 thf(f260,plain,( 2.21/0.65 ((^[Y0 : a > b > $o]: ((^[Y1 : a]: ((^[Y2 : b]: ((^[Y3 : a]: (Y0 @ Y3 @ Y2)))))))) != (^[Y0 : a > b > $o]: ((^[Y1 : a]: ((^[Y2 : b]: ((^[Y3 : a]: (Y0 @ ((^[Y4 : a > b > $o]: ((^[Y5 : a]: ((^[Y6 : b]: ((^[Y7 : a]: (Y7)))))))) @ Y0 @ Y1 @ Y2 @ Y3) @ Y2))))))))) | ((sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ ((^[Y5 : a > b > $o]: ((^[Y6 : a]: ((^[Y7 : b]: ((^[Y8 : a]: (Y8)))))))) @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ ((^[Y7 : a > b > $o]: ((^[Y8 : a]: ((^[Y9 : b]: ((^[Y10 : a]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ Y2 @ Y1)))))))) != (sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ ((^[Y5 : a > b > $o]: ((^[Y6 : a]: ((^[Y7 : b]: ((^[Y8 : a]: (Y8)))))))) @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ ((^[Y7 : a > b > $o]: ((^[Y8 : a]: ((^[Y9 : b]: ((^[Y10 : a]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: ((^[Y6 : a]: (Y6)))))))) @ (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ ((^[Y7 : a > b > $o]: ((^[Y8 : a]: ((^[Y9 : b]: ((^[Y10 : a]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ Y0 @ Y1 @ Y2) @ Y1))))))))) | ~spl8_2), 2.21/0.65 inference(equality_resolution,[],[f259])). 2.21/0.65 thf(f259,plain,( 2.21/0.65 ( ! [X0 : (a > b > $o) > a > b > a > a] : (((^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: (X0)))))) != (^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: ((^[Y6 : a]: (Y6))))))))))))))) | ((^[Y0 : a > b > $o]: ((^[Y1 : a]: ((^[Y2 : b]: ((^[Y3 : a]: (Y0 @ (X0 @ Y0 @ Y1 @ Y2 @ Y3) @ Y2)))))))) != (^[Y0 : a > b > $o]: ((^[Y1 : a]: ((^[Y2 : b]: ((^[Y3 : a]: (Y0 @ Y3 @ Y2))))))))) | ((sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (X0 @ (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ Y0 @ Y1 @ Y2) @ Y1)))))))) != (sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ Y2 @ Y1)))))))))) ) | ~spl8_2), 2.21/0.65 inference(beta_eta_normalization,[],[f258])). 2.21/0.65 thf(f258,plain,( 2.21/0.65 ( ! [X0 : (a > b > $o) > a > b > a > a] : (((sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (X0 @ (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ Y0 @ Y1 @ Y2) @ Y1)))))))) != (sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ Y2 @ Y1))))))))) | ((^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: (X0)))))) != (^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: ((^[Y6 : a]: (Y6))))))))))))))) | (((^[Y0 : a]: ((^[Y1 : a > b > $o]: ((^[Y2 : a]: ((^[Y3 : b]: ((^[Y4 : a]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))))) @ (sK19 @ X0)) != ((^[Y0 : a]: ((^[Y1 : a > b > $o]: ((^[Y2 : a]: ((^[Y3 : b]: ((^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))))) @ (sK19 @ X0)))) ) | ~spl8_2), 2.21/0.65 inference(negative_extensionality,[],[f257])). 2.21/0.65 thf(f257,plain,( 2.21/0.65 ( ! [X0 : (a > b > $o) > a > b > a > a] : (((^[Y0 : a]: ((^[Y1 : a > b > $o]: ((^[Y2 : a]: ((^[Y3 : b]: ((^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))))) != (^[Y0 : a]: ((^[Y1 : a > b > $o]: ((^[Y2 : a]: ((^[Y3 : b]: ((^[Y4 : a]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3))))))))))) | ((sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (X0 @ (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ Y0 @ Y1 @ Y2) @ Y1)))))))) != (sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ Y2 @ Y1))))))))) | ((^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: (X0)))))) != (^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: ((^[Y6 : a]: (Y6)))))))))))))))) ) | ~spl8_2), 2.21/0.65 inference(beta_eta_normalization,[],[f256])). 2.21/0.65 thf(f256,plain,( 2.21/0.65 ( ! [X0 : (a > b > $o) > a > b > a > a] : (((sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (X0 @ (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ Y0 @ Y1 @ Y2) @ Y1)))))))) != (sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ Y2 @ Y1))))))))) | (((^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : a]: ((^[Y4 : b]: ((^[Y5 : a]: (Y2 @ Y5 @ Y4)))))))))))) @ (sK18 @ X0)) != ((^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : a]: ((^[Y4 : b]: ((^[Y5 : a]: (Y2 @ (X0 @ Y2 @ Y3 @ Y4 @ Y5) @ Y4)))))))))))) @ (sK18 @ X0))) | ((^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: (X0)))))) != (^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: ((^[Y6 : a]: (Y6)))))))))))))))) ) | ~spl8_2), 2.21/0.65 inference(negative_extensionality,[],[f255])). 2.21/0.65 thf(f255,plain,( 2.21/0.65 ( ! [X0 : (a > b > $o) > a > b > a > a] : (((^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : a]: ((^[Y4 : b]: ((^[Y5 : a]: (Y2 @ (X0 @ Y2 @ Y3 @ Y4 @ Y5) @ Y4)))))))))))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : a]: ((^[Y4 : b]: ((^[Y5 : a]: (Y2 @ Y5 @ Y4))))))))))))) | ((sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ (X0 @ (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5))))))))) @ Y0 @ Y1 @ Y2) @ Y1)))))))) != (sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ Y3)))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ Y5)))))))) @ Y2 @ Y1))))))))) | ((^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: (X0)))))) != (^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: ((^[Y6 : a]: (Y6)))))))))))))))) ) | ~spl8_2), 2.21/0.65 inference(beta_eta_normalization,[],[f254])). 2.21/0.65 thf(f254,plain,( 2.21/0.65 ( ! [X0 : (a > b > $o) > a > b > a > a] : (((^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: ((^[Y6 : a]: (X0 @ Y3 @ Y4 @ Y5 @ Y6)))))))))))))) != (^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: ((^[Y6 : a]: (Y6))))))))))))))) | ((sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ ((^[Y4 : a > b > $o]: ((^[Y5 : a]: ((^[Y6 : b]: ((^[Y7 : a]: (Y4 @ (X0 @ Y4 @ Y5 @ Y6 @ Y7) @ ((^[Y8 : a > b > $o]: ((^[Y9 : a]: ((^[Y10 : b]: ((^[Y11 : a]: (Y10)))))))) @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ Y1 @ Y2 @ Y3))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ ((^[Y6 : a > b > $o]: ((^[Y7 : a]: ((^[Y8 : b]: ((^[Y9 : a]: (Y6 @ (X0 @ Y6 @ Y7 @ Y8 @ Y9) @ ((^[Y10 : a > b > $o]: ((^[Y11 : a]: ((^[Y12 : b]: ((^[Y13 : a]: (Y12)))))))) @ Y6 @ Y7 @ Y8 @ Y9))))))))) @ Y3 @ Y4 @ Y5))))))) @ Y2 @ Y1)))))))) != (sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ ((^[Y4 : a > b > $o]: ((^[Y5 : a]: ((^[Y6 : b]: ((^[Y7 : a]: (Y4 @ (X0 @ Y4 @ Y5 @ Y6 @ Y7) @ ((^[Y8 : a > b > $o]: ((^[Y9 : a]: ((^[Y10 : b]: ((^[Y11 : a]: (Y10)))))))) @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ Y1 @ Y2 @ Y3))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ ((^[Y2 : a > b > $o]: ((^[Y3 : a]: ((^[Y4 : b]: ((^[Y5 : a]: (Y2 @ (X0 @ Y2 @ Y3 @ Y4 @ Y5) @ ((^[Y6 : a > b > $o]: ((^[Y7 : a]: ((^[Y8 : b]: ((^[Y9 : a]: (Y8)))))))) @ Y2 @ Y3 @ Y4 @ Y5))))))))) @ (sK17 @ (^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y2 @ Y5 @ Y4)))))))) @ (^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ (^[Y4 : b]: (sF4 @ ((^[Y5 : a > b > $o]: ((^[Y6 : a]: ((^[Y7 : b]: ((^[Y8 : a]: (Y5 @ (X0 @ Y5 @ Y6 @ Y7 @ Y8) @ ((^[Y9 : a > b > $o]: ((^[Y10 : a]: ((^[Y11 : b]: ((^[Y12 : a]: (Y11)))))))) @ Y5 @ Y6 @ Y7 @ Y8))))))))) @ Y2 @ Y3 @ Y4)))))))) @ Y0 @ Y1)))))))) | ((^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : a]: ((^[Y4 : b]: ((^[Y5 : a]: (Y2 @ (X0 @ Y2 @ Y3 @ Y4 @ Y5) @ ((^[Y6 : a > b > $o]: ((^[Y7 : a]: ((^[Y8 : b]: ((^[Y9 : a]: (Y8)))))))) @ Y2 @ Y3 @ Y4 @ Y5))))))))))))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : a]: ((^[Y4 : b]: ((^[Y5 : a]: (Y2 @ Y5 @ Y4)))))))))))))) ) | ~spl8_2), 2.21/0.65 inference(equality_resolution,[],[f253])). 2.21/0.65 thf(f253,plain,( 2.21/0.65 ( ! [X0 : (a > b > $o) > a > b > a > $o] : (((^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: (X0)))))) != (^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: ((^[Y6 : a]: (Y3 @ Y6 @ Y5))))))))))))))) | ((sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (X0 @ Y1 @ Y2 @ Y3))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (X0 @ (sK17 @ (^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y2 @ Y5 @ Y4)))))))) @ (^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ (^[Y4 : b]: (sF4 @ (X0 @ Y2 @ Y3 @ Y4)))))))) @ Y0 @ Y1))))))) != (sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ Y3)))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (X0 @ Y1 @ Y2 @ Y3))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ Y5)))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y2 @ Y1))))))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X0)))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : a]: ((^[Y4 : b]: ((^[Y5 : a]: (Y2 @ Y5 @ Y4)))))))))))))) ) | ~spl8_2), 2.21/0.65 inference(beta_eta_normalization,[],[f252])). 2.21/0.65 thf(f252,plain,( 2.21/0.65 ( ! [X0 : (a > b > $o) > a > b > a > $o] : (((^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: ((^[Y6 : a]: (Y3 @ Y6 @ ((^[Y7 : a > b > $o]: ((^[Y8 : a]: ((^[Y9 : b]: ((^[Y10 : a]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6))))))))))))))) != (^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: (X0))))))) | ((sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ ((^[Y5 : a > b > $o]: ((^[Y6 : a]: ((^[Y7 : b]: ((^[Y8 : a]: (Y7)))))))) @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (X0 @ Y1 @ Y2 @ Y3))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (X0 @ (sK17 @ (^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y2 @ Y5 @ ((^[Y6 : a > b > $o]: ((^[Y7 : a]: ((^[Y8 : b]: ((^[Y9 : a]: (Y8)))))))) @ Y2 @ Y3 @ Y4 @ Y5))))))))) @ (^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ (^[Y4 : b]: (sF4 @ (X0 @ Y2 @ Y3 @ Y4)))))))) @ Y0 @ Y1))))))) != (sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ ((^[Y5 : a > b > $o]: ((^[Y6 : a]: ((^[Y7 : b]: ((^[Y8 : a]: (Y7)))))))) @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (X0 @ Y1 @ Y2 @ Y3))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ ((^[Y7 : a > b > $o]: ((^[Y8 : a]: ((^[Y9 : b]: ((^[Y10 : a]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y2 @ ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: ((^[Y6 : a]: (Y5)))))))) @ (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ ((^[Y7 : a > b > $o]: ((^[Y8 : a]: ((^[Y9 : b]: ((^[Y10 : a]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (X0 @ Y3 @ Y4 @ Y5)))))))) @ Y0 @ Y1 @ Y2)))))))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X0)))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : a]: ((^[Y4 : b]: ((^[Y5 : a]: (Y2 @ Y5 @ ((^[Y6 : a > b > $o]: ((^[Y7 : a]: ((^[Y8 : b]: ((^[Y9 : a]: (Y8)))))))) @ Y2 @ Y3 @ Y4 @ Y5))))))))))))))) ) | ~spl8_2), 2.21/0.65 inference(equality_resolution,[],[f251])). 2.21/0.65 thf(f251,plain,( 2.21/0.65 ( ! [X0 : (a > b > $o) > a > b > a > b,X1 : (a > b > $o) > a > b > a > $o] : (((X0 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (sK10 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y0 @ Y3 @ (X0 @ Y0 @ Y1 @ Y2 @ Y3))))))))) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: (Y1))))))) | ((^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: (X1)))))) != (^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: ((^[Y6 : a]: (Y3 @ Y6 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6)))))))))))))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X1)))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : a]: ((^[Y4 : b]: ((^[Y5 : a]: (Y2 @ Y5 @ (X0 @ Y2 @ Y3 @ Y4 @ Y5)))))))))))))) | ((sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (X1 @ Y3 @ Y4 @ Y5))))))) @ Y2 @ (X0 @ (sK17 @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (^[Y6 : a]: (Y3 @ Y6 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : a > b > $o]: ((^[Y4 : a]: (sK10 @ (^[Y5 : b]: (sF4 @ (X1 @ Y3 @ Y4 @ Y5)))))))) @ Y0 @ Y1 @ Y2))))))))) != (sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y1 @ Y4 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (X1 @ (sK17 @ (^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y2 @ Y5 @ (X0 @ Y2 @ Y3 @ Y4 @ Y5))))))))) @ (^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ (^[Y4 : b]: (sF4 @ (X1 @ Y2 @ Y3 @ Y4)))))))) @ Y0 @ Y1))))))))) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f250])). 2.21/0.66 thf(f250,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a > b > a > b,X1 : (a > b > $o) > a > b > a > $o] : (((^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: (X1 @ Y3 @ Y4 @ Y5)))))))))))) != (^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: ((^[Y6 : a]: (Y3 @ ((^[Y7 : a > b > $o]: ((^[Y8 : a]: ((^[Y9 : b]: ((^[Y10 : a]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ (X0 @ Y3 @ Y4 @ Y5 @ Y6)))))))))))))))) | ((sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ ((^[Y4 : a > b > $o]: ((^[Y5 : a]: ((^[Y6 : b]: ((^[Y7 : a]: (Y4 @ ((^[Y8 : a > b > $o]: ((^[Y9 : a]: ((^[Y10 : b]: ((^[Y11 : a]: (Y11)))))))) @ Y4 @ Y5 @ Y6 @ Y7) @ (X0 @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ Y1 @ Y2 @ Y3))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (X1 @ (sK17 @ (^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ (^[Y4 : b]: (sF4 @ ((^[Y5 : a > b > $o]: ((^[Y6 : a]: ((^[Y7 : b]: ((^[Y8 : a]: (Y5 @ ((^[Y9 : a > b > $o]: ((^[Y10 : a]: ((^[Y11 : b]: ((^[Y12 : a]: (Y12)))))))) @ Y5 @ Y6 @ Y7 @ Y8) @ (X0 @ Y5 @ Y6 @ Y7 @ Y8))))))))) @ Y2 @ Y3 @ Y4))))))) @ (^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ (^[Y4 : b]: (sF4 @ (X1 @ Y2 @ Y3 @ Y4)))))))) @ Y0 @ Y1))))))) != (sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ ((^[Y4 : a > b > $o]: ((^[Y5 : a]: ((^[Y6 : b]: ((^[Y7 : a]: (Y4 @ ((^[Y8 : a > b > $o]: ((^[Y9 : a]: ((^[Y10 : b]: ((^[Y11 : a]: (Y11)))))))) @ Y4 @ Y5 @ Y6 @ Y7) @ (X0 @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ Y1 @ Y2 @ Y3))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ ((^[Y2 : a > b > $o]: ((^[Y3 : a]: ((^[Y4 : b]: ((^[Y5 : a]: (Y2 @ ((^[Y6 : a > b > $o]: ((^[Y7 : a]: ((^[Y8 : b]: ((^[Y9 : a]: (Y9)))))))) @ Y2 @ Y3 @ Y4 @ Y5) @ (X0 @ Y2 @ Y3 @ Y4 @ Y5))))))))) @ (sK17 @ (^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ (^[Y4 : b]: (sF4 @ ((^[Y5 : a > b > $o]: ((^[Y6 : a]: ((^[Y7 : b]: ((^[Y8 : a]: (Y5 @ ((^[Y9 : a > b > $o]: ((^[Y10 : a]: ((^[Y11 : b]: ((^[Y12 : a]: (Y12)))))))) @ Y5 @ Y6 @ Y7 @ Y8) @ (X0 @ Y5 @ Y6 @ Y7 @ Y8))))))))) @ Y2 @ Y3 @ Y4))))))) @ (^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ (^[Y4 : b]: (sF4 @ (X1 @ Y2 @ Y3 @ Y4)))))))) @ Y0 @ Y1)))))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X1)))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : a]: ((^[Y4 : b]: ((^[Y5 : a]: (Y2 @ ((^[Y6 : a > b > $o]: ((^[Y7 : a]: ((^[Y8 : b]: ((^[Y9 : a]: (Y9)))))))) @ Y2 @ Y3 @ Y4 @ Y5) @ (X0 @ Y2 @ Y3 @ Y4 @ Y5)))))))))))))) | ((^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: (X0 @ (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK11 @ (^[Y4 : a]: (Y3 @ Y4 @ (sK10 @ (^[Y5 : b]: (sF4 @ ((^[Y6 : a > b > $o]: ((^[Y7 : a]: ((^[Y8 : b]: ((^[Y9 : a]: (Y6 @ ((^[Y10 : a > b > $o]: ((^[Y11 : a]: ((^[Y12 : b]: ((^[Y13 : a]: (Y13)))))))) @ Y6 @ Y7 @ Y8 @ Y9) @ (X0 @ Y6 @ Y7 @ Y8 @ Y9))))))))) @ Y3 @ Y4 @ Y5))))))) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))))))) @ Y0 @ Y1 @ Y2)))))) != (^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: (Y1)))))))) ) | ~spl8_2), 2.21/0.66 inference(equality_resolution,[],[f249])). 2.21/0.66 thf(f249,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a > b > a > $o,X1 : (a > b > $o) > a > b > a > $o] : (((^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK11 @ (^[Y4 : a]: (Y3 @ Y4 @ (sK10 @ (^[Y5 : b]: (sF4 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))) != (X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (sK10 @ (^[Y2 : b]: (sF4 @ (X1 @ Y0 @ Y1 @ Y2))))))) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))))))))) | ((sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (X0 @ Y1 @ Y2 @ Y3))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (X1 @ (sK17 @ (^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ (^[Y4 : b]: (sF4 @ (X1 @ Y2 @ Y3 @ Y4))))))) @ (^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ (^[Y4 : b]: (sF4 @ (X0 @ Y2 @ Y3 @ Y4)))))))) @ Y0 @ Y1))))))) != (sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (X0 @ Y1 @ Y2 @ Y3))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (X0 @ (sK17 @ (^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ (^[Y4 : b]: (sF4 @ (X1 @ Y2 @ Y3 @ Y4))))))) @ (^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ (^[Y4 : b]: (sF4 @ (X0 @ Y2 @ Y3 @ Y4)))))))) @ Y0 @ Y1)))))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X0)))) != (^[Y0 : b]: ((^[Y1 : a]: (X1)))))) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f248])). 2.21/0.66 thf(f248,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a > b > a > $o,X1 : (a > b > $o) > a > b > a > $o] : (((^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : a]: ((^[Y4 : b]: (X0 @ Y2 @ Y3 @ Y4)))))))))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : a]: ((^[Y4 : b]: (X1 @ Y2 @ Y3 @ Y4))))))))))) | ((X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (sK10 @ (^[Y2 : b]: (sF4 @ (X1 @ Y0 @ Y1 @ Y2))))))) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK11 @ (^[Y4 : a]: (Y3 @ Y4 @ ((^[Y5 : a > b > $o]: ((^[Y6 : a]: (sK10 @ ((^[Y7 : a > b > $o]: ((^[Y8 : a]: ((^[Y9 : b]: (sF4 @ (X0 @ Y7 @ Y8 @ Y9))))))) @ Y5 @ Y6))))) @ Y3 @ Y4)))) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1))))))) | ((sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: (sF4 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ Y0 @ ((^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: (sF4 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: (sF4 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2)))))) @ Y0)))) != (sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: (sF4 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (X1 @ (sK17 @ (^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ (^[Y4 : b]: (sF4 @ (X1 @ Y2 @ Y3 @ Y4))))))) @ (^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ ((^[Y4 : a > b > $o]: ((^[Y5 : a]: ((^[Y6 : b]: (sF4 @ (X0 @ Y4 @ Y5 @ Y6))))))) @ Y2 @ Y3)))))) @ Y0 @ Y1))))))))) ) | ~spl8_2), 2.21/0.66 inference(equality_resolution,[],[f241])). 2.21/0.66 thf(f241,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a > b,X1 : (a > b > $o) > a > b > a > $o] : (((^[Y0 : b]: ((^[Y1 : a]: (X0)))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ (^[Y4 : b]: (sF4 @ (X1 @ Y2 @ Y3 @ Y4)))))))))))) | ((^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK11 @ (^[Y4 : a]: (Y3 @ Y4 @ (X0 @ Y3 @ Y4)))) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))) != (X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (sK10 @ (^[Y2 : b]: (sF4 @ (X1 @ Y0 @ Y1 @ Y2))))))) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))))))))) | ((sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ X0 @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (X1 @ (sK17 @ (^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ (^[Y4 : b]: (sF4 @ (X1 @ Y2 @ Y3 @ Y4))))))) @ X0) @ Y0 @ Y1))))))) != (sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ X0 @ Y0 @ (X0 @ (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ (^[Y3 : b]: (sF4 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ X0) @ Y0)))))) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f240])). 2.21/0.66 thf(f240,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a > b,X1 : (a > b > $o) > a > b > a > $o] : (((^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : a]: (sK10 @ ((^[Y4 : a > b > $o]: ((^[Y5 : a]: ((^[Y6 : b]: (sF4 @ (X1 @ Y4 @ Y5 @ Y6))))))) @ Y2 @ Y3))))))))) != (^[Y0 : b]: ((^[Y1 : a]: (X0))))) | ((sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: (sF4 @ (X1 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ X0 @ Y0 @ ((^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: (sF4 @ (X1 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: (sF4 @ (X1 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ X0) @ Y0)))) != (sK11 @ (^[Y0 : a]: (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: (sF4 @ (X1 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ X0 @ Y0 @ (X0 @ (sK17 @ (^[Y1 : a > b > $o]: ((^[Y2 : a]: (sK10 @ ((^[Y3 : a > b > $o]: ((^[Y4 : a]: ((^[Y5 : b]: (sF4 @ (X1 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ X0) @ Y0))))) | ((^[Y0 : a]: ((^[Y1 : b]: ((^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK11 @ (^[Y4 : a]: (Y3 @ Y4 @ (X0 @ Y3 @ Y4)))) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))) != (^[Y0 : a]: ((^[Y1 : b]: (X1 @ (sK12 @ (^[Y2 : a > b > $o]: ((sF3 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (sK11 @ (^[Y3 : a]: (Y2 @ Y3 @ ((^[Y4 : a > b > $o]: ((^[Y5 : a]: (sK10 @ ((^[Y6 : a > b > $o]: ((^[Y7 : a]: ((^[Y8 : b]: (sF4 @ (X1 @ Y6 @ Y7 @ Y8))))))) @ Y4 @ Y5))))) @ Y2 @ Y3)))) @ (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))))))) @ Y0 @ Y1)))))) ) | ~spl8_2), 2.21/0.66 inference(equality_resolution,[],[f239])). 2.21/0.66 thf(f239,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a > b,X1 : (a > b > $o) > a > b] : (((^[Y0 : a]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK11 @ (^[Y4 : a]: (Y3 @ Y4 @ (X0 @ Y3 @ Y4)))) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))) != (X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1)))) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))))))))) | ((sK11 @ (^[Y0 : a]: (sK17 @ X1 @ X0 @ Y0 @ (X1 @ (sK17 @ X1 @ X0) @ Y0)))) != (sK11 @ (^[Y0 : a]: (sK17 @ X1 @ X0 @ Y0 @ (X0 @ (sK17 @ X1 @ X0) @ Y0))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X0)))) != (^[Y0 : b]: ((^[Y1 : a]: (X1)))))) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f238])). 2.21/0.66 thf(f238,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a > b,X1 : (a > b > $o) > a > b] : (((^[Y0 : b]: ((^[Y1 : a]: (X0)))) != (^[Y0 : b]: ((^[Y1 : a]: (X1))))) | (((^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1))))) @ (sK17 @ X1 @ X0)) != ((^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1))))) @ (sK17 @ X1 @ X0))) | ((^[Y0 : a]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK11 @ (^[Y4 : a]: (Y3 @ Y4 @ (X0 @ Y3 @ Y4)))) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))) != (X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1)))) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1)))))))))))) ) | ~spl8_2), 2.21/0.66 inference(negative_extensionality,[],[f237])). 2.21/0.66 thf(f237,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a > b,X1 : (a > b > $o) > a > b] : (((^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1))))) != (^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1)))))) | ((^[Y0 : a]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK11 @ (^[Y4 : a]: (Y3 @ Y4 @ (X0 @ Y3 @ Y4)))) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))) != (X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1)))) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))))))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X0)))) != (^[Y0 : b]: ((^[Y1 : a]: (X1)))))) ) | ~spl8_2), 2.21/0.66 inference(duplicate_literal_removal,[],[f236])). 2.21/0.66 thf(f236,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a > b,X1 : (a > b > $o) > a > b] : (((^[Y0 : a]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK11 @ (^[Y4 : a]: (Y3 @ Y4 @ (X0 @ Y3 @ Y4)))) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))) != (X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1)))) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))))))))) | ((^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1))))) != (^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1)))))) | ((^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1))))) != (^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1)))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X0)))) != (^[Y0 : b]: ((^[Y1 : a]: (X1)))))) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f235])). 2.21/0.66 thf(f235,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a > b,X1 : (a > b > $o) > a > b] : ((((^[Y0 : a]: ((^[Y1 : a > b > $o]: (sK11 @ (^[Y2 : a]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2))))))) @ (sK16 @ X1 @ X0)) != ((^[Y0 : a]: ((^[Y1 : a > b > $o]: (sK11 @ (^[Y2 : a]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))))) @ (sK16 @ X1 @ X0))) | ((^[Y0 : b]: ((^[Y1 : a]: (X0)))) != (^[Y0 : b]: ((^[Y1 : a]: (X1))))) | ((^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1))))) != (^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1)))))) | ((^[Y0 : a]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK11 @ (^[Y4 : a]: (Y3 @ Y4 @ (X0 @ Y3 @ Y4)))) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))) != (X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1)))) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1)))))))))))) ) | ~spl8_2), 2.21/0.66 inference(negative_extensionality,[],[f234])). 2.21/0.66 thf(f234,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a > b,X1 : (a > b > $o) > a > b] : (((^[Y0 : a]: ((^[Y1 : a > b > $o]: (sK11 @ (^[Y2 : a]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))))) != (^[Y0 : a]: ((^[Y1 : a > b > $o]: (sK11 @ (^[Y2 : a]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2)))))))) | ((^[Y0 : a]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK11 @ (^[Y4 : a]: (Y3 @ Y4 @ (X0 @ Y3 @ Y4)))) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))) != (X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1)))) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))))))))) | ((^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1))))) != (^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1)))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X0)))) != (^[Y0 : b]: ((^[Y1 : a]: (X1)))))) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f233])). 2.21/0.66 thf(f233,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a > b,X1 : (a > b > $o) > a > b] : (((X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1)))) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : a]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK11 @ (^[Y4 : a]: (Y3 @ ((^[Y5 : a > b > $o]: ((^[Y6 : a]: (Y6)))) @ Y3 @ Y4) @ (X0 @ Y3 @ Y4)))) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1))))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X0)))) != (^[Y0 : b]: ((^[Y1 : a]: (X1))))) | ((^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ ((^[Y2 : a > b > $o]: ((^[Y3 : a]: (Y3)))) @ Y0 @ Y1) @ (X0 @ Y0 @ Y1))))) != (^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1)))))) | ((^[Y0 : a]: ((^[Y1 : a > b > $o]: (sK11 @ (^[Y2 : a]: (Y1 @ ((^[Y3 : a > b > $o]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2) @ (X0 @ Y1 @ Y2))))))) != (^[Y0 : a]: ((^[Y1 : a > b > $o]: (sK11 @ (^[Y2 : a]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))))))) ) | ~spl8_2), 2.21/0.66 inference(equality_resolution,[],[f232])). 2.21/0.66 thf(f232,plain,( 2.21/0.66 ( ! [X2 : (a > b > $o) > a > a,X0 : (a > b > $o) > a > b,X1 : (a > b > $o) > a > b] : (((^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : a]: (Y3)))))))) != (^[Y0 : b]: ((^[Y1 : a]: (X2))))) | ((^[Y0 : a]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (sK11 @ (^[Y4 : a]: (Y3 @ (X2 @ Y3 @ Y4) @ (X0 @ Y3 @ Y4)))) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))) != (X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1)))) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))))))))) | ((^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ (X2 @ Y0 @ Y1) @ (X0 @ Y0 @ Y1))))) != (^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1)))))) | ((^[Y0 : a]: ((^[Y1 : a > b > $o]: (sK11 @ (^[Y2 : a]: (Y1 @ (X2 @ Y1 @ Y2) @ (X0 @ Y1 @ Y2))))))) != (^[Y0 : a]: ((^[Y1 : a > b > $o]: (sK11 @ (^[Y2 : a]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2)))))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X0)))) != (^[Y0 : b]: ((^[Y1 : a]: (X1)))))) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f231])). 2.21/0.66 thf(f231,plain,( 2.21/0.66 ( ! [X2 : (a > b > $o) > a > a,X0 : (a > b > $o) > a > b,X1 : (a > b > $o) > a > b] : (((^[Y0 : a]: ((^[Y1 : a > b > $o]: (sK11 @ (^[Y2 : a]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2))))))) != (^[Y0 : a]: ((^[Y1 : a > b > $o]: (sK11 @ ((^[Y2 : a > b > $o]: ((^[Y3 : a]: (Y2 @ (X2 @ Y2 @ Y3) @ (X0 @ Y2 @ Y3))))) @ Y1)))))) | ((^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : a]: (Y3)))))))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : a]: (X2 @ Y2 @ Y3))))))))) | ((^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : a]: (X1 @ Y2 @ Y3)))))))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : a]: (X0 @ Y2 @ Y3))))))))) | ((^[Y0 : a > b > $o]: (sK11 @ ((^[Y1 : a > b > $o]: ((^[Y2 : a]: (Y1 @ (X2 @ Y1 @ Y2) @ (X0 @ Y1 @ Y2))))) @ Y0))) != (^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1)))))) | ((X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1)))) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : a]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ ((^[Y4 : a > b > $o]: (sK11 @ ((^[Y5 : a > b > $o]: ((^[Y6 : a]: (Y5 @ (X2 @ Y5 @ Y6) @ (X0 @ Y5 @ Y6))))) @ Y4))) @ Y3) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))))) ) | ~spl8_2), 2.21/0.66 inference(equality_resolution,[],[f230])). 2.21/0.66 thf(f230,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a > b,X1 : (a > b > $o) > a] : (((^[Y0 : b]: ((^[Y1 : a]: (X1)))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: (sK11 @ (^[Y3 : a]: (Y2 @ Y3 @ (X0 @ Y2 @ Y3)))))))))) | ((^[Y0 : a]: (X1)) != (^[Y0 : a]: ((^[Y1 : a > b > $o]: (sK11 @ (^[Y2 : a]: (Y1 @ Y2 @ (X0 @ Y1 @ Y2)))))))) | ((X0 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1)))) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : a]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X1 @ Y3) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1))))))) | ((^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1))))) != X1)) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f229])). 2.21/0.66 thf(f229,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a > b,X1 : (a > b > $o) > a] : (((X0 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK11 @ (^[Y1 : a]: (Y0 @ ((^[Y2 : a > b > $o]: ((^[Y3 : a]: (Y3)))) @ Y0 @ Y1) @ (X0 @ Y0 @ Y1)))) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : a]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X1 @ Y3) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1))))))) | ((^[Y0 : a]: ((^[Y1 : a > b > $o]: (sK11 @ (^[Y2 : a]: (Y1 @ ((^[Y3 : a > b > $o]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2) @ (X0 @ Y1 @ Y2))))))) != (^[Y0 : a]: (X1))) | ((^[Y0 : b]: ((^[Y1 : a]: (X1)))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: (sK11 @ (^[Y3 : a]: (Y2 @ ((^[Y4 : a > b > $o]: ((^[Y5 : a]: (Y5)))) @ Y2 @ Y3) @ (X0 @ Y2 @ Y3)))))))))) | ((^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ ((^[Y2 : a > b > $o]: ((^[Y3 : a]: (Y3)))) @ Y0 @ Y1) @ (X0 @ Y0 @ Y1))))) != X1)) ) | ~spl8_2), 2.21/0.66 inference(equality_resolution,[],[f228])). 2.21/0.66 thf(f228,plain,( 2.21/0.66 ( ! [X2 : (a > b > $o) > a,X0 : (a > b > $o) > a > b,X1 : (a > b > $o) > a > a] : (((X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK11 @ (^[Y1 : a]: (Y0 @ (X1 @ Y0 @ Y1) @ (X0 @ Y0 @ Y1)))) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : a]: (Y0))) | ((X0 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (sK11 @ (^[Y1 : a]: (Y0 @ (X1 @ Y0 @ Y1) @ (X0 @ Y0 @ Y1)))) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1)))))))))) != (^[Y0 : a]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X2 @ Y3) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1))))))) | ((^[Y0 : a]: (X2)) != (^[Y0 : a]: ((^[Y1 : a > b > $o]: (sK11 @ (^[Y2 : a]: (Y1 @ (X1 @ Y1 @ Y2) @ (X0 @ Y1 @ Y2)))))))) | ((^[Y0 : a > b > $o]: (sK11 @ (^[Y1 : a]: (Y0 @ (X1 @ Y0 @ Y1) @ (X0 @ Y0 @ Y1))))) != X2) | ((^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: (sK11 @ (^[Y3 : a]: (Y2 @ (X1 @ Y2 @ Y3) @ (X0 @ Y2 @ Y3))))))))) != (^[Y0 : b]: ((^[Y1 : a]: (X2)))))) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f227])). 2.21/0.66 thf(f227,plain,( 2.21/0.66 ( ! [X2 : (a > b > $o) > a,X0 : (a > b > $o) > a > b,X1 : (a > b > $o) > a > a] : (((^[Y0 : a]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X2 @ Y3) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1)))))) != (^[Y0 : a]: (X0 @ (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ ((^[Y2 : a > b > $o]: (sK11 @ ((^[Y3 : a > b > $o]: ((^[Y4 : a]: (Y3 @ (X1 @ Y3 @ Y4) @ (X0 @ Y3 @ Y4))))) @ Y2))) @ Y1) @ (sK10 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))))))) @ Y0))) | ((^[Y0 : a]: (X1 @ (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ ((^[Y2 : a > b > $o]: (sK11 @ ((^[Y3 : a > b > $o]: ((^[Y4 : a]: (Y3 @ (X1 @ Y3 @ Y4) @ (X0 @ Y3 @ Y4))))) @ Y2))) @ Y1) @ (sK10 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))))))) @ Y0)) != (^[Y0 : a]: (Y0))) | ((^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: (sK11 @ ((^[Y3 : a > b > $o]: ((^[Y4 : a]: (Y3 @ (X1 @ Y3 @ Y4) @ (X0 @ Y3 @ Y4))))) @ Y2))))))) != (^[Y0 : b]: ((^[Y1 : a]: (X2))))) | ((^[Y0 : a > b > $o]: (sK11 @ ((^[Y1 : a > b > $o]: ((^[Y2 : a]: (Y1 @ (X1 @ Y1 @ Y2) @ (X0 @ Y1 @ Y2))))) @ Y0))) != X2) | ((^[Y0 : a]: ((^[Y1 : a > b > $o]: (sK11 @ ((^[Y2 : a > b > $o]: ((^[Y3 : a]: (Y2 @ (X1 @ Y2 @ Y3) @ (X0 @ Y2 @ Y3))))) @ Y1))))) != (^[Y0 : a]: ((^[Y1 : a > b > $o]: (X2 @ Y1)))))) ) | ~spl8_2), 2.21/0.66 inference(equality_resolution,[],[f226])). 2.21/0.66 thf(f226,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > a] : (((X0 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1)))))))))) != (sK11 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X1 @ Y1) @ (sK10 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2)))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X1 @ Y3) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1))))))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X0)))) != (^[Y0 : b]: ((^[Y1 : a]: (X1))))) | (X0 != X1)) ) | ~spl8_2), 2.21/0.66 inference(trivial_inequality_removal,[],[f225])). 2.21/0.66 thf(f225,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > a] : (((X0 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1)))))))))) != (sK11 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X1 @ Y1) @ (sK10 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2)))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X1 @ Y3) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4)))))))) @ Y2 @ Y1))))))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X0)))) != (^[Y0 : b]: ((^[Y1 : a]: (X1))))) | ((sK10 @ (^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK15 @ (^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3)))))) @ (^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3)))))) @ Y1 @ Y0))))) != (sK10 @ (^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK15 @ (^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3)))))) @ (^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3)))))) @ Y1 @ Y0)))))) | (X0 != X1)) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f224])). 2.21/0.66 thf(f224,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > a] : (((X0 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1)))))))))) != (sK11 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X1 @ Y1) @ (sK10 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ ((^[Y4 : a > b > $o]: ((^[Y5 : b]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3))))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X1 @ Y3) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ ((^[Y6 : a > b > $o]: ((^[Y7 : b]: ((^[Y8 : a]: (Y7)))))) @ Y3 @ Y4 @ Y5))))))))) @ Y2 @ Y1))))))))) | ((sK10 @ (^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK15 @ (^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3)))))) @ (^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3)))))) @ Y1 @ ((^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3)))))) @ (sK15 @ (^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3)))))) @ (^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3))))))) @ Y0 @ Y1)))))) != (sK10 @ (^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK15 @ (^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3)))))) @ (^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3)))))) @ Y1 @ Y0)))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X0)))) != (^[Y0 : b]: ((^[Y1 : a]: (X1))))) | (X0 != X1)) ) | ~spl8_2), 2.21/0.66 inference(equality_resolution,[],[f223])). 2.21/0.66 thf(f223,plain,( 2.21/0.66 ( ! [X2 : (a > b > $o) > a,X0 : (a > b > $o) > a,X1 : (a > b > $o) > b > a > b] : (((^[Y0 : b]: ((^[Y1 : a]: (X1)))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3))))))))))) | ((X2 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X2 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1)))))))))) != (sK11 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (sK10 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ (X1 @ Y1 @ Y2 @ Y3))))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ (X1 @ Y3 @ Y4 @ Y5))))))))) @ Y2 @ Y1))))))))) | ((sK10 @ (^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK15 @ (^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3)))))) @ X1 @ Y1 @ Y0))))) != (sK10 @ (^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK15 @ (^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3)))))) @ X1 @ Y1 @ (X1 @ (sK15 @ (^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3)))))) @ X1) @ Y0 @ Y1))))))) | (X0 != X2) | ((^[Y0 : b]: ((^[Y1 : a]: (X0)))) != (^[Y0 : b]: ((^[Y1 : a]: (X2)))))) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f222])). 2.21/0.66 thf(f222,plain,( 2.21/0.66 ( ! [X2 : (a > b > $o) > a,X0 : (a > b > $o) > a,X1 : (a > b > $o) > b > a > b] : (((^[Y0 : b]: ((^[Y1 : a]: (X0)))) != (^[Y0 : b]: ((^[Y1 : a]: (X2))))) | ((X2 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X2 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ ((^[Y3 : a > b > $o]: ((^[Y4 : b]: ((^[Y5 : a]: (Y4)))))) @ Y0 @ Y1 @ Y2))))))))))) != (sK11 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (sK10 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ (X1 @ Y1 @ Y2 @ Y3))))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ (X1 @ Y3 @ Y4 @ Y5))))))))) @ Y2 @ Y1))))))))) | ((sK10 @ (^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK15 @ (^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3)))))) @ X1 @ Y1 @ ((^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3)))))) @ (sK15 @ (^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3)))))) @ X1) @ Y0 @ Y1)))))) != (sK10 @ (^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK15 @ (^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3)))))) @ X1 @ Y1 @ (X1 @ (sK15 @ (^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3)))))) @ X1) @ Y0 @ Y1))))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X1)))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y3))))))))))) | (X0 != X2)) ) | ~spl8_2), 2.21/0.66 inference(equality_resolution,[],[f221])). 2.21/0.66 thf(f221,plain,( 2.21/0.66 ( ! [X2 : (a > b > $o) > a,X3 : (a > b > $o) > a,X0 : (a > b > $o) > b > a > b,X1 : (a > b > $o) > b > a > b] : (((X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X2 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X1 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : b]: ((^[Y1 : a]: (Y0))))) | ((sK11 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X3 @ Y1) @ (sK10 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3))))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X3 @ Y3) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5))))))))) @ Y2 @ Y1)))))))) != (X2 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X2 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X1 @ Y0 @ Y1 @ Y2)))))))))))) | ((sK10 @ (^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK15 @ X1 @ X0 @ Y1 @ (X1 @ (sK15 @ X1 @ X0) @ Y0 @ Y1)))))) != (sK10 @ (^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK15 @ X1 @ X0 @ Y1 @ (X0 @ (sK15 @ X1 @ X0) @ Y0 @ Y1))))))) | (X2 != X3) | ((^[Y0 : b]: ((^[Y1 : a]: (X3)))) != (^[Y0 : b]: ((^[Y1 : a]: (X2))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X1)))) != (^[Y0 : b]: ((^[Y1 : a]: (X0)))))) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f220])). 2.21/0.66 thf(f220,plain,( 2.21/0.66 ( ! [X2 : (a > b > $o) > a,X3 : (a > b > $o) > a,X0 : (a > b > $o) > b > a > b,X1 : (a > b > $o) > b > a > b] : (((^[Y0 : b]: ((^[Y1 : a]: (X1)))) != (^[Y0 : b]: ((^[Y1 : a]: (X0))))) | (X2 != X3) | ((sK11 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X3 @ Y1) @ (sK10 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3))))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X3 @ Y3) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5))))))))) @ Y2 @ Y1)))))))) != (X2 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X2 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X1 @ Y0 @ Y1 @ Y2)))))))))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X3)))) != (^[Y0 : b]: ((^[Y1 : a]: (X2))))) | (((^[Y0 : a > b > $o]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X1 @ Y0 @ Y1 @ Y2))))))) @ (sK15 @ X1 @ X0)) != ((^[Y0 : a > b > $o]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X0 @ Y0 @ Y1 @ Y2))))))) @ (sK15 @ X1 @ X0))) | ((X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X2 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X1 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : b]: ((^[Y1 : a]: (Y0)))))) ) | ~spl8_2), 2.21/0.66 inference(negative_extensionality,[],[f219])). 2.21/0.66 thf(f219,plain,( 2.21/0.66 ( ! [X2 : (a > b > $o) > a,X3 : (a > b > $o) > a,X0 : (a > b > $o) > b > a > b,X1 : (a > b > $o) > b > a > b] : (((^[Y0 : a > b > $o]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X0 @ Y0 @ Y1 @ Y2))))))) != (^[Y0 : a > b > $o]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X1 @ Y0 @ Y1 @ Y2)))))))) | ((X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X2 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X1 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : b]: ((^[Y1 : a]: (Y0))))) | ((sK11 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X3 @ Y1) @ (sK10 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3))))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X3 @ Y3) @ (sK10 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5))))))))) @ Y2 @ Y1)))))))) != (X2 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X2 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X1 @ Y0 @ Y1 @ Y2)))))))))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X3)))) != (^[Y0 : b]: ((^[Y1 : a]: (X2))))) | (X2 != X3) | ((^[Y0 : b]: ((^[Y1 : a]: (X1)))) != (^[Y0 : b]: ((^[Y1 : a]: (X0)))))) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f218])). 2.21/0.66 thf(f218,plain,( 2.21/0.66 ( ! [X2 : (a > b > $o) > a,X3 : (a > b > $o) > a,X0 : (a > b > $o) > b > a > b,X1 : (a > b > $o) > b > a > b] : (((sK11 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X3 @ Y1) @ (sK10 @ (^[Y2 : b]: (sF4 @ ((^[Y3 : a > b > $o]: ((^[Y4 : b]: ((^[Y5 : a]: (Y3 @ ((^[Y6 : a > b > $o]: ((^[Y7 : b]: ((^[Y8 : a]: (Y8)))))) @ Y3 @ Y4 @ Y5) @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X3 @ Y3) @ (sK10 @ (^[Y4 : b]: (sF4 @ ((^[Y5 : a > b > $o]: ((^[Y6 : b]: ((^[Y7 : a]: (Y5 @ ((^[Y8 : a > b > $o]: ((^[Y9 : b]: ((^[Y10 : a]: (Y10)))))) @ Y5 @ Y6 @ Y7) @ (X0 @ Y5 @ Y6 @ Y7))))))) @ Y3 @ Y4))))))) @ Y2 @ Y1)))))))) != (X2 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X2 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X1 @ Y0 @ Y1 @ Y2)))))))))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X3)))) != (^[Y0 : b]: ((^[Y1 : a]: (X2))))) | ((^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (X1 @ Y2 @ Y3 @ Y4)))))))))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (X0 @ Y2 @ Y3 @ Y4))))))))))) | ((X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X2 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X1 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : b]: ((^[Y1 : a]: (Y0))))) | ((^[Y0 : a > b > $o]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X1 @ Y0 @ Y1 @ Y2))))))) != (^[Y0 : a > b > $o]: (sK10 @ (^[Y1 : b]: (sF4 @ ((^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > b > $o]: ((^[Y6 : b]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4) @ (X0 @ Y2 @ Y3 @ Y4))))))) @ Y0 @ Y1)))))) | (X2 != X3)) ) | ~spl8_2), 2.21/0.66 inference(equality_resolution,[],[f217])). 2.21/0.66 thf(f217,plain,( 2.21/0.66 ( ! [X2 : (a > b > $o) > a,X3 : (a > b > $o) > a,X0 : (a > b > $o) > b > a > $o,X1 : (a > b > $o) > b > a > b] : (((^[Y0 : b]: ((^[Y1 : a]: (X0)))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y2 @ Y4 @ (X1 @ Y2 @ Y3 @ Y4)))))))))))) | ((X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X2 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X1 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : b]: ((^[Y1 : a]: (Y0))))) | ((sK11 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X3 @ Y1) @ (sK10 @ (^[Y2 : b]: (sF4 @ (X0 @ Y1 @ Y2))))))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X3 @ Y3) @ (sK10 @ (^[Y4 : b]: (sF4 @ (X0 @ Y3 @ Y4))))))) @ Y2 @ Y1)))))))) != (X2 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X2 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X1 @ Y0 @ Y1 @ Y2)))))))))))) | ((^[Y0 : a > b > $o]: (sK10 @ (^[Y1 : b]: (sF4 @ (X0 @ Y0 @ Y1))))) != (^[Y0 : a > b > $o]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X1 @ Y0 @ Y1 @ Y2)))))))) | (X2 != X3) | ((^[Y0 : b]: ((^[Y1 : a]: (X3)))) != (^[Y0 : b]: ((^[Y1 : a]: (X2)))))) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f216])). 2.21/0.66 thf(f216,plain,( 2.21/0.66 ( ! [X2 : (a > b > $o) > a,X3 : (a > b > $o) > a,X0 : (a > b > $o) > b > a > $o,X1 : (a > b > $o) > b > a > b] : ((X2 != X3) | ((^[Y0 : a > b > $o]: (sK10 @ ((^[Y1 : a > b > $o]: ((^[Y2 : b]: (sF4 @ (X0 @ Y1 @ Y2))))) @ Y0))) != (^[Y0 : a > b > $o]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X1 @ Y0 @ Y1 @ Y2)))))))) | ((X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X2 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X1 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : b]: ((^[Y1 : a]: (Y0))))) | ((sK11 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X3 @ Y1) @ ((^[Y2 : a > b > $o]: (sK10 @ ((^[Y3 : a > b > $o]: ((^[Y4 : b]: (sF4 @ (X0 @ Y3 @ Y4))))) @ Y2))) @ Y1)))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X3 @ Y3) @ ((^[Y4 : a > b > $o]: (sK10 @ ((^[Y5 : a > b > $o]: ((^[Y6 : b]: (sF4 @ (X0 @ Y5 @ Y6))))) @ Y4))) @ Y3)))) @ Y2 @ Y1)))))))) != (X2 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X2 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X1 @ Y0 @ Y1 @ Y2)))))))))))) | ((^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : b]: (X0 @ Y2 @ Y3)))))))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y2 @ Y4 @ (X1 @ Y2 @ Y3 @ Y4)))))))))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X3)))) != (^[Y0 : b]: ((^[Y1 : a]: (X2)))))) ) | ~spl8_2), 2.21/0.66 inference(equality_resolution,[],[f215])). 2.21/0.66 thf(f215,plain,( 2.21/0.66 ( ! [X2 : (a > b > $o) > b > a > b,X3 : (a > b > $o) > b,X0 : (a > b > $o) > a,X1 : (a > b > $o) > a] : (((^[Y0 : b]: ((^[Y1 : a]: (X3)))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: (sK10 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y2 @ Y4 @ (X2 @ Y2 @ Y3 @ Y4)))))))))))) | ((X2 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X2 @ Y0 @ Y1 @ Y2))))))))))) != (^[Y0 : b]: ((^[Y1 : a]: (Y0))))) | ((^[Y0 : a > b > $o]: (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X2 @ Y0 @ Y1 @ Y2))))))) != X3) | ((X0 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ (X2 @ Y0 @ Y1 @ Y2))))))))))) != (sK11 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X1 @ Y1) @ (X3 @ Y1)))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X1 @ Y3) @ (X3 @ Y3)))) @ Y2 @ Y1))))))))) | (X0 != X1) | ((^[Y0 : b]: ((^[Y1 : a]: (X0)))) != (^[Y0 : b]: ((^[Y1 : a]: (X1)))))) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f214])). 2.21/0.66 thf(f214,plain,( 2.21/0.66 ( ! [X2 : (a > b > $o) > b > a > b,X3 : (a > b > $o) > b,X0 : (a > b > $o) > a,X1 : (a > b > $o) > a] : (((^[Y0 : a > b > $o]: (sK10 @ (^[Y1 : b]: (sF4 @ ((^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > b > $o]: ((^[Y6 : b]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4) @ (X2 @ Y2 @ Y3 @ Y4))))))) @ Y0 @ Y1))))) != X3) | ((^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: (sK10 @ (^[Y3 : b]: (sF4 @ ((^[Y4 : a > b > $o]: ((^[Y5 : b]: ((^[Y6 : a]: (Y4 @ ((^[Y7 : a > b > $o]: ((^[Y8 : b]: ((^[Y9 : a]: (Y9)))))) @ Y4 @ Y5 @ Y6) @ (X2 @ Y4 @ Y5 @ Y6))))))) @ Y2 @ Y3))))))))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: (X3 @ Y2))))))) | ((^[Y0 : b]: ((^[Y1 : a]: (X2 @ (sK12 @ (^[Y2 : a > b > $o]: ((sF3 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (sK10 @ (^[Y3 : b]: (sF4 @ ((^[Y4 : a > b > $o]: ((^[Y5 : b]: ((^[Y6 : a]: (Y4 @ ((^[Y7 : a > b > $o]: ((^[Y8 : b]: ((^[Y9 : a]: (Y9)))))) @ Y4 @ Y5 @ Y6) @ (X2 @ Y4 @ Y5 @ Y6))))))) @ Y2 @ Y3)))))))) @ Y0 @ Y1)))) != (^[Y0 : b]: ((^[Y1 : a]: (Y0))))) | (X0 != X1) | ((X0 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ ((^[Y2 : a > b > $o]: ((^[Y3 : b]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > b > $o]: ((^[Y6 : b]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4) @ (X2 @ Y2 @ Y3 @ Y4))))))) @ Y0 @ Y1))))))))) != (sK11 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X1 @ Y1) @ (X3 @ Y1)))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X1 @ Y3) @ (X3 @ Y3)))) @ Y2 @ Y1))))))))) | ((^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: (X0 @ Y2)))))) != (^[Y0 : b]: ((^[Y1 : a]: ((^[Y2 : a > b > $o]: (X1 @ Y2)))))))) ) | ~spl8_2), 2.21/0.66 inference(equality_resolution,[],[f211])). 2.21/0.66 thf(f211,plain,( 2.21/0.66 ( ! [X2 : (a > b > $o) > b,X3 : (a > b > $o) > b > a > $o,X0 : (a > b > $o) > a,X1 : (a > b > $o) > a] : (((X3 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X1 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (X3 @ Y0 @ Y1))))))))) != (^[Y0 : b]: ((^[Y1 : a]: (sK12 @ (^[Y2 : a > b > $o]: ((sF3 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X2 @ Y2)))) @ Y1 @ Y0))))) | ((sK11 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (X2 @ Y1)))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (X2 @ Y3)))) @ Y2 @ Y1)))))))) != (X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X1 @ Y0) @ (sK10 @ (^[Y1 : b]: (sF4 @ (X3 @ Y0 @ Y1)))))))))) | ((^[Y0 : a > b > $o]: (sK10 @ (^[Y1 : b]: (sF4 @ (X3 @ Y0 @ Y1))))) != X2) | (X0 != X1)) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f210])). 2.21/0.66 thf(f210,plain,( 2.21/0.66 ( ! [X2 : (a > b > $o) > b,X3 : (a > b > $o) > b > a > $o,X0 : (a > b > $o) > a,X1 : (a > b > $o) > a] : (((^[Y0 : b]: (X3 @ (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X1 @ Y1) @ ((^[Y2 : a > b > $o]: (sK10 @ ((^[Y3 : a > b > $o]: ((^[Y4 : b]: (sF4 @ (X3 @ Y3 @ Y4))))) @ Y2))) @ Y1))))) @ Y0)) != (^[Y0 : b]: ((^[Y1 : a]: (sK12 @ (^[Y2 : a > b > $o]: ((sF3 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X2 @ Y2)))) @ Y1 @ Y0))))) | ((^[Y0 : a > b > $o]: (X0 @ Y0)) != (^[Y0 : a > b > $o]: (X1 @ Y0))) | ((^[Y0 : a > b > $o]: (sK10 @ ((^[Y1 : a > b > $o]: ((^[Y2 : b]: (sF4 @ (X3 @ Y1 @ Y2))))) @ Y0))) != (^[Y0 : a > b > $o]: (X2 @ Y0))) | ((sK11 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (X2 @ Y1)))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (X2 @ Y3)))) @ Y2 @ Y1)))))))) != (X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X1 @ Y0) @ ((^[Y1 : a > b > $o]: (sK10 @ ((^[Y2 : a > b > $o]: ((^[Y3 : b]: (sF4 @ (X3 @ Y2 @ Y3))))) @ Y1))) @ Y0)))))))) ) | ~spl8_2), 2.21/0.66 inference(trivial_inequality_removal,[],[f208])). 2.21/0.66 thf(f208,plain,( 2.21/0.66 ( ! [X2 : (a > b > $o) > b,X3 : (a > b > $o) > b > a > $o,X0 : (a > b > $o) > a,X1 : (a > b > $o) > a] : (((^[Y0 : a > b > $o]: (X0 @ Y0)) != (^[Y0 : a > b > $o]: (X1 @ Y0))) | ((sK11 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (X2 @ Y1)))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (X2 @ Y3)))) @ Y2 @ Y1)))))))) != (X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X1 @ Y0) @ ((^[Y1 : a > b > $o]: (sK10 @ ((^[Y2 : a > b > $o]: ((^[Y3 : b]: (sF4 @ (X3 @ Y2 @ Y3))))) @ Y1))) @ Y0))))))) | ((^[Y0 : a > b > $o]: (sK10 @ ((^[Y1 : a > b > $o]: ((^[Y2 : b]: (sF4 @ (X3 @ Y1 @ Y2))))) @ Y0))) != (^[Y0 : a > b > $o]: (X2 @ Y0))) | ($true = $false) | ((^[Y0 : b]: (X3 @ (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X1 @ Y1) @ ((^[Y2 : a > b > $o]: (sK10 @ ((^[Y3 : a > b > $o]: ((^[Y4 : b]: (sF4 @ (X3 @ Y3 @ Y4))))) @ Y2))) @ Y1))))) @ Y0)) != (^[Y0 : b]: ((^[Y1 : a]: (sK12 @ (^[Y2 : a > b > $o]: ((sF3 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X2 @ Y2)))) @ Y1 @ Y0)))))) ) | ~spl8_2), 2.21/0.66 inference(constrained_superposition,[],[f199,f167])). 2.21/0.66 thf(f167,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > b] : (((sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (X0 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) @ (X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0))))))) = $false)) ) | ~spl8_2), 2.21/0.66 inference(trivial_inequality_removal,[],[f166])). 2.21/0.66 thf(f166,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > b] : (((sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (X0 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) @ (X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0))))))) = $false) | ($true = $false)) ) | ~spl8_2), 2.21/0.66 inference(boolean_simplification,[],[f158])). 2.21/0.66 thf(f158,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > b] : (((sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (X0 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) @ (X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0))))))) = $false) | (((sF3 @ (^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK12 @ (^[Y2 : a > b > $o]: ((sF3 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0))))) => $true) = $false)) ) | ~spl8_2), 2.21/0.66 inference(cases_simplifying,[],[f155])). 2.21/0.66 thf(f155,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > b] : ((((sF3 @ (^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK12 @ (^[Y2 : a > b > $o]: ((sF3 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0))))) => (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (X0 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) @ (X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))))) = $false)) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f154])). 2.21/0.66 thf(f154,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > b] : ((((^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) = $false)) ) | ~spl8_2), 2.21/0.66 inference(trivial_inequality_removal,[],[f151])). 2.21/0.66 thf(f151,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > b] : (($true = $false) | (((^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) = $false)) ) | ~spl8_2), 2.21/0.66 inference(superposition,[],[f145,f106])). 2.21/0.66 thf(f106,plain,( 2.21/0.66 ( ! [X1 : (a > b > $o) > $o] : (((sF2 @ X1) = $true) | ((X1 @ (sK12 @ X1)) = $false)) )), 2.21/0.66 inference(sigma_clausification,[],[f52])). 2.21/0.66 thf(f52,plain,( 2.21/0.66 ( ! [X1 : (a > b > $o) > $o] : (((!! @ (a > b > $o) @ X1) = $false) | ((sF2 @ X1) = $true)) )), 2.21/0.66 inference(binary_proxy_clausification,[],[f42])). 2.21/0.66 thf(f42,plain,( 2.21/0.66 ( ! [X1 : (a > b > $o) > $o] : (((!! @ (a > b > $o) @ X1) = (sF2 @ X1))) )), 2.21/0.66 inference(argument_congruence,[],[f9])). 2.21/0.66 thf(f9,plain,( 2.21/0.66 (sF2 = !! @ (a > b > $o))), 2.21/0.66 introduced(function_definition,[])). 2.21/0.66 thf(f145,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > b] : (((sF2 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0))))) = $false)) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f144])). 2.21/0.66 thf(f144,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > b] : ((((^[Y0 : (a > b > $o) > b]: (sF2 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (Y0 @ Y1)))))) @ X1) = $false)) ) | ~spl8_2), 2.21/0.66 inference(trivial_inequality_removal,[],[f140])). 2.21/0.66 thf(f140,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > b] : (($true = $false) | (((^[Y0 : (a > b > $o) > b]: (sF2 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (Y0 @ Y1)))))) @ X1) = $false)) ) | ~spl8_2), 2.21/0.66 inference(superposition,[],[f133,f129])). 2.21/0.66 thf(f129,plain,( 2.21/0.66 ( ! [X1 : (a > b > $o) > a] : (((sF1 @ (^[Y0 : (a > b > $o) > b]: (sF2 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X1 @ Y1) @ (Y0 @ Y1))))))) = $false)) ) | ~spl8_2), 2.21/0.66 inference(backward_demodulation,[],[f46,f127])). 2.21/0.66 thf(f127,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a] : (((sF5 @ X0) = $false)) ) | ~spl8_2), 2.21/0.66 inference(trivial_inequality_removal,[],[f123])). 2.21/0.66 thf(f123,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a] : (((sF5 @ X0) = $false) | ($true = $false)) ) | ~spl8_2), 2.21/0.66 inference(superposition,[],[f116,f41])). 2.21/0.66 thf(f41,plain,( 2.21/0.66 ($false = (sF0 @ sF5)) | ~spl8_2), 2.21/0.66 inference(forward_demodulation,[],[f13,f27])). 2.21/0.66 thf(f27,plain,( 2.21/0.66 (sF6 = $false) | ~spl8_2), 2.21/0.66 inference(avatar_component_clause,[],[f25])). 2.21/0.66 thf(f25,plain,( 2.21/0.66 spl8_2 <=> (sF6 = $false)), 2.21/0.66 introduced(avatar_definition,[new_symbols(naming,[spl8_2])])). 2.21/0.66 thf(f13,plain,( 2.21/0.66 (sF6 = (sF0 @ sF5))), 2.21/0.66 introduced(function_definition,[])). 2.21/0.66 thf(f116,plain,( 2.21/0.66 ( ! [X2 : (a > b > $o) > a,X1 : ((a > b > $o) > a) > $o] : (($true = (sF0 @ X1)) | ((X1 @ X2) = $false)) )), 2.21/0.66 inference(pi_clausification,[],[f54])). 2.21/0.66 thf(f54,plain,( 2.21/0.66 ( ! [X1 : ((a > b > $o) > a) > $o] : (((?? @ ((a > b > $o) > a) @ X1) = $false) | ($true = (sF0 @ X1))) )), 2.21/0.66 inference(binary_proxy_clausification,[],[f43])). 2.21/0.66 thf(f43,plain,( 2.21/0.66 ( ! [X1 : ((a > b > $o) > a) > $o] : (((?? @ ((a > b > $o) > a) @ X1) = (sF0 @ X1))) )), 2.21/0.66 inference(argument_congruence,[],[f7])). 2.21/0.66 thf(f7,plain,( 2.21/0.66 (?? @ ((a > b > $o) > a) = sF0)), 2.21/0.66 introduced(function_definition,[])). 2.21/0.66 thf(f46,plain,( 2.21/0.66 ( ! [X1 : (a > b > $o) > a] : (((sF1 @ (^[Y0 : (a > b > $o) > b]: (sF2 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X1 @ Y1) @ (Y0 @ Y1))))))) = (sF5 @ X1))) )), 2.21/0.66 inference(beta_eta_normalization,[],[f45])). 2.21/0.66 thf(f45,plain,( 2.21/0.66 ( ! [X1 : (a > b > $o) > a] : ((((^[Y0 : (a > b > $o) > a]: (sF1 @ (^[Y1 : (a > b > $o) > b]: (sF2 @ (^[Y2 : a > b > $o]: ((sF3 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (Y0 @ Y2) @ (Y1 @ Y2)))))))) @ X1) = (sF5 @ X1))) )), 2.21/0.66 inference(argument_congruence,[],[f12])). 2.21/0.66 thf(f12,plain,( 2.21/0.66 (sF5 = (^[Y0 : (a > b > $o) > a]: (sF1 @ (^[Y1 : (a > b > $o) > b]: (sF2 @ (^[Y2 : a > b > $o]: ((sF3 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (Y0 @ Y2) @ (Y1 @ Y2)))))))))), 2.21/0.66 introduced(function_definition,[])). 2.21/0.66 thf(f133,plain,( 2.21/0.66 ( ! [X2 : (a > b > $o) > b,X1 : ((a > b > $o) > b) > $o] : (((sF1 @ X1) = $true) | ((X1 @ X2) = $false)) )), 2.21/0.66 inference(pi_clausification,[],[f56])). 2.21/0.66 thf(f56,plain,( 2.21/0.66 ( ! [X1 : ((a > b > $o) > b) > $o] : (((?? @ ((a > b > $o) > b) @ X1) = $false) | ((sF1 @ X1) = $true)) )), 2.21/0.66 inference(binary_proxy_clausification,[],[f44])). 2.21/0.66 thf(f44,plain,( 2.21/0.66 ( ! [X1 : ((a > b > $o) > b) > $o] : (((?? @ ((a > b > $o) > b) @ X1) = (sF1 @ X1))) )), 2.21/0.66 inference(argument_congruence,[],[f8])). 2.21/0.66 thf(f8,plain,( 2.21/0.66 (?? @ ((a > b > $o) > b) = sF1)), 2.21/0.66 introduced(function_definition,[])). 2.21/0.66 thf(f199,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > b] : (($true = (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (sK11 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (X1 @ Y3)))) @ Y2 @ Y1)))))))) @ (sK10 @ (^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK12 @ (^[Y2 : a > b > $o]: ((sF3 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0)))))))) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f198])). 2.21/0.66 thf(f198,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > b] : ((((^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (X1 @ Y3)))) @ Y2 @ Y1))))))) @ (sK11 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (X1 @ Y3)))) @ Y2 @ Y1))))))))) = $true)) ) | ~spl8_2), 2.21/0.66 inference(trivial_inequality_removal,[],[f196])). 2.21/0.66 thf(f196,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > b] : ((((^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (X1 @ Y3)))) @ Y2 @ Y1))))))) @ (sK11 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (X1 @ Y3)))) @ Y2 @ Y1))))))))) = $true) | ($true = $false)) ) | ~spl8_2), 2.21/0.66 inference(superposition,[],[f193,f73])). 2.21/0.66 thf(f73,plain,( 2.21/0.66 ( ! [X1 : a > $o] : (((sF4 @ X1) = $false) | ($true = (X1 @ (sK11 @ X1)))) )), 2.21/0.66 inference(sigma_clausification,[],[f49])). 2.21/0.66 thf(f49,plain,( 2.21/0.66 ( ! [X1 : a > $o] : (((?? @ a @ X1) = $true) | ((sF4 @ X1) = $false)) )), 2.21/0.66 inference(binary_proxy_clausification,[],[f40])). 2.21/0.66 thf(f40,plain,( 2.21/0.66 ( ! [X1 : a > $o] : (((?? @ a @ X1) = (sF4 @ X1))) )), 2.21/0.66 inference(argument_congruence,[],[f11])). 2.21/0.66 thf(f11,plain,( 2.21/0.66 (?? @ a = sF4)), 2.21/0.66 introduced(function_definition,[])). 2.21/0.66 thf(f193,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > b] : (((sF4 @ (^[Y0 : a]: (sK12 @ (^[Y1 : a > b > $o]: ((sF3 @ (^[Y2 : b]: (sF4 @ (^[Y3 : a]: (Y1 @ Y3 @ Y2))))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0 @ (sK10 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (sK12 @ (^[Y3 : a > b > $o]: ((sF3 @ (^[Y4 : b]: (sF4 @ (^[Y5 : a]: (Y3 @ Y5 @ Y4))))) => (Y3 @ (X0 @ Y3) @ (X1 @ Y3)))) @ Y2 @ Y1)))))))) = $true)) ) | ~spl8_2), 2.21/0.66 inference(beta_eta_normalization,[],[f192])). 2.21/0.66 thf(f192,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > b] : (($true = ((^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK12 @ (^[Y2 : a > b > $o]: ((sF3 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0)))) @ (sK10 @ (^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK12 @ (^[Y2 : a > b > $o]: ((sF3 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0)))))))) ) | ~spl8_2), 2.21/0.66 inference(trivial_inequality_removal,[],[f190])). 2.21/0.66 thf(f190,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > b] : (($true = $false) | ($true = ((^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK12 @ (^[Y2 : a > b > $o]: ((sF3 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0)))) @ (sK10 @ (^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK12 @ (^[Y2 : a > b > $o]: ((sF3 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0)))))))) ) | ~spl8_2), 2.21/0.66 inference(superposition,[],[f169,f61])). 2.21/0.66 thf(f61,plain,( 2.21/0.66 ( ! [X1 : b > $o] : (((sF3 @ X1) = $false) | ($true = (X1 @ (sK10 @ X1)))) )), 2.21/0.66 inference(sigma_clausification,[],[f47])). 2.21/0.66 thf(f47,plain,( 2.21/0.66 ( ! [X1 : b > $o] : (((?? @ b @ X1) = $true) | ((sF3 @ X1) = $false)) )), 2.21/0.66 inference(binary_proxy_clausification,[],[f39])). 2.21/0.66 thf(f39,plain,( 2.21/0.66 ( ! [X1 : b > $o] : (((?? @ b @ X1) = (sF3 @ X1))) )), 2.21/0.66 inference(argument_congruence,[],[f10])). 2.21/0.66 thf(f10,plain,( 2.21/0.66 (?? @ b = sF3)), 2.21/0.66 introduced(function_definition,[])). 2.21/0.66 thf(f169,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > b] : (((sF3 @ (^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK12 @ (^[Y2 : a > b > $o]: ((sF3 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0))))) = $true)) ) | ~spl8_2), 2.21/0.66 inference(trivial_inequality_removal,[],[f168])). 2.21/0.66 thf(f168,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > b] : (($true = $false) | ((sF3 @ (^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK12 @ (^[Y2 : a > b > $o]: ((sF3 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0))))) = $true)) ) | ~spl8_2), 2.21/0.66 inference(boolean_simplification,[],[f157])). 2.21/0.66 thf(f157,plain,( 2.21/0.66 ( ! [X0 : (a > b > $o) > a,X1 : (a > b > $o) > b] : ((($false => (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (X0 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) @ (X1 @ (sK12 @ (^[Y0 : a > b > $o]: ((sF3 @ (^[Y1 : b]: (sF4 @ (^[Y2 : a]: (Y0 @ Y2 @ Y1))))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))))) = $false) | ((sF3 @ (^[Y0 : b]: (sF4 @ (^[Y1 : a]: (sK12 @ (^[Y2 : a > b > $o]: ((sF3 @ (^[Y3 : b]: (sF4 @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (X0 @ Y2) @ (X1 @ Y2)))) @ Y1 @ Y0))))) = $true)) ) | ~spl8_2), 2.21/0.66 inference(cases_simplifying,[],[f155])). 2.21/0.66 thf(f38,plain,( 2.21/0.66 spl8_3), 2.21/0.66 inference(avatar_split_clause,[],[f15,f30])). 2.21/0.66 thf(f15,plain,( 2.21/0.66 ($true = sF7)), 2.21/0.66 inference(definition_folding,[],[f6,f14,f13,f12,f11,f10,f9,f8,f7])). 2.21/0.66 thf(f14,plain,( 2.21/0.66 ((~ sF6) = sF7)), 2.21/0.66 introduced(function_definition,[])). 2.21/0.66 thf(f6,plain,( 2.21/0.66 ((~ (?? @ ((a > b > $o) > a) @ (^[Y0 : (a > b > $o) > a]: (?? @ ((a > b > $o) > b) @ (^[Y1 : (a > b > $o) > b]: (!! @ (a > b > $o) @ (^[Y2 : a > b > $o]: ((?? @ b @ (^[Y3 : b]: (?? @ a @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (Y0 @ Y2) @ (Y1 @ Y2)))))))))) = $true)), 2.21/0.66 inference(cnf_transformation,[],[f5])). 2.21/0.66 thf(f5,plain,( 2.21/0.66 ((~ (?? @ ((a > b > $o) > a) @ (^[Y0 : (a > b > $o) > a]: (?? @ ((a > b > $o) > b) @ (^[Y1 : (a > b > $o) > b]: (!! @ (a > b > $o) @ (^[Y2 : a > b > $o]: ((?? @ b @ (^[Y3 : b]: (?? @ a @ (^[Y4 : a]: (Y2 @ Y4 @ Y3))))) => (Y2 @ (Y0 @ Y2) @ (Y1 @ Y2)))))))))) = $true)), 2.21/0.66 inference(fool_elimination,[],[f4])). 2.21/0.66 thf(f4,plain,( 2.21/0.66 ~? [X0 : (a > b > $o) > b,X1 : (a > b > $o) > a] : ! [X2 : a > b > $o] : (? [X3 : a,X4 : b] : (X2 @ X3 @ X4) => (X2 @ (X1 @ X2) @ (X0 @ X2)))), 2.21/0.66 inference(rectify,[],[f2])). 2.21/0.66 thf(f2,negated_conjecture,( 2.21/0.66 ~? [X1 : (a > b > $o) > b,X0 : (a > b > $o) > a] : ! [X2 : a > b > $o] : (? [X3 : a,X4 : b] : (X2 @ X3 @ X4) => (X2 @ (X0 @ X2) @ (X1 @ X2)))), 2.21/0.66 inference(negated_conjecture,[],[f1])). 2.21/0.66 thf(f1,conjecture,( 2.21/0.66 ? [X1 : (a > b > $o) > b,X0 : (a > b > $o) > a] : ! [X2 : a > b > $o] : (? [X3 : a,X4 : b] : (X2 @ X3 @ X4) => (X2 @ (X0 @ X2) @ (X1 @ X2)))), 2.21/0.66 file('/export/starexec/sandbox2/tmp/tmp.hUult4U1xr/Vampire---4.8_17128',claim)). 2.21/0.66 thf(f28,plain,( 2.21/0.66 spl8_1 | spl8_2), 2.21/0.66 inference(avatar_split_clause,[],[f19,f25,f21])). 2.21/0.66 thf(f19,plain,( 2.21/0.66 (sF6 = $false) | (sF7 = $false)), 2.21/0.66 inference(boolean_simplification,[],[f16])). 2.21/0.66 thf(f16,plain,( 2.21/0.66 (sF6 = $false) | ((~ $true) = sF7)), 2.21/0.66 inference(cases_simplifying,[],[f14])). 2.21/0.66 % SZS output end Proof for Vampire---4 2.21/0.66 % (17303)------------------------------ 2.21/0.66 % (17303)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.21/0.66 % (17303)Termination reason: Refutation 2.21/0.66 2.21/0.66 % (17303)Memory used [KB]: 6780 2.21/0.66 % (17303)Time elapsed: 0.105 s 2.21/0.66 % (17303)Instructions burned: 149 (million) 2.21/0.66 % (17303)------------------------------ 2.21/0.66 % (17303)------------------------------ 2.21/0.66 % (17235)Success in time 0.311 s 2.21/0.66 % Vampire---4.8 exiting 2.21/0.66 EOF