0.11/0.16 % Problem : Vampire---4.8_21853 : TPTP v0.0.0. Released v0.0.0. 0.11/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.13/0.38 % Computer : n005.cluster.edu 0.13/0.38 % Model : x86_64 x86_64 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.38 % Memory : 8042.1875MB 0.13/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.38 % CPULimit : 1440 0.13/0.38 % WCLimit : 180 0.13/0.38 % DateTime : Mon Jul 3 12:44:00 EDT 2023 0.13/0.38 % CPUTime : 0.13/0.38 This is a THF_ problem 0.13/0.38 Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.SulEOfH0lu/Vampire---4.8_21853 -m 12000 -t 180 0.13/0.40 % (21965)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.13/0.40 % (21961)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.13/0.40 % (21962)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.13/0.40 % (21963)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi) 0.13/0.40 % (21964)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi) 0.13/0.40 % (21966)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi) 0.13/0.40 % (21967)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi) 0.13/0.40 % (21968)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi) 0.13/0.41 % (21967)Instruction limit reached! 0.13/0.41 % (21967)------------------------------ 0.13/0.41 % (21967)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.13/0.41 % (21967)Termination reason: Unknown 0.13/0.41 % (21967)Termination phase: Preprocessing 3 0.13/0.41 0.13/0.41 % (21967)Memory used [KB]: 1023 0.13/0.41 % (21967)Time elapsed: 0.005 s 0.13/0.41 % (21967)Instructions burned: 5 (million) 0.13/0.41 % (21967)------------------------------ 0.13/0.41 % (21967)------------------------------ 0.13/0.41 % (21965)Instruction limit reached! 0.13/0.41 % (21965)------------------------------ 0.13/0.41 % (21965)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.13/0.41 % (21965)Termination reason: Unknown 0.13/0.41 % (21965)Termination phase: Saturation 0.13/0.41 0.13/0.41 % (21965)Memory used [KB]: 5756 0.13/0.41 % (21965)Time elapsed: 0.009 s 0.13/0.41 % (21965)Instructions burned: 17 (million) 0.13/0.41 % (21965)------------------------------ 0.13/0.41 % (21965)------------------------------ 0.13/0.42 % (21970)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.13/0.42 % (21970)Instruction limit reached! 0.13/0.42 % (21970)------------------------------ 0.13/0.42 % (21970)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.13/0.42 % (21970)Termination reason: Unknown 0.13/0.42 % (21970)Termination phase: Property scanning 0.13/0.42 0.13/0.42 % (21970)Memory used [KB]: 1151 0.13/0.42 % (21970)Time elapsed: 0.004 s 0.13/0.42 % (21970)Instructions burned: 7 (million) 0.13/0.42 % (21970)------------------------------ 0.13/0.42 % (21970)------------------------------ 0.13/0.42 % (21969)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) 0.13/0.42 % (21963)Instruction limit reached! 0.13/0.42 % (21963)------------------------------ 0.13/0.42 % (21963)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.13/0.42 % (21963)Termination reason: Unknown 0.13/0.42 % (21963)Termination phase: Saturation 0.13/0.42 0.13/0.42 % (21963)Memory used [KB]: 5884 0.13/0.42 % (21963)Time elapsed: 0.023 s 0.13/0.42 % (21963)Instructions burned: 34 (million) 0.13/0.42 % (21963)------------------------------ 0.13/0.42 % (21963)------------------------------ 0.13/0.42 % (21962)Instruction limit reached! 0.13/0.42 % (21962)------------------------------ 0.13/0.42 % (21962)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.13/0.42 % (21962)Termination reason: Unknown 0.13/0.42 % (21962)Termination phase: Saturation 0.13/0.42 0.13/0.42 % (21962)Memory used [KB]: 5884 0.13/0.42 % (21962)Time elapsed: 0.024 s 0.13/0.42 % (21962)Instructions burned: 36 (million) 0.13/0.42 % (21962)------------------------------ 0.13/0.42 % (21962)------------------------------ 0.13/0.43 % (21971)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) 0.13/0.43 % (21969)Instruction limit reached! 0.13/0.43 % (21969)------------------------------ 0.13/0.43 % (21969)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.13/0.43 % (21969)Termination reason: Unknown 0.13/0.43 % (21969)Termination phase: Saturation 0.13/0.43 0.13/0.43 % (21969)Memory used [KB]: 5756 0.13/0.43 % (21969)Time elapsed: 0.013 s 0.13/0.43 % (21969)Instructions burned: 21 (million) 0.13/0.43 % (21969)------------------------------ 0.13/0.43 % (21969)------------------------------ 0.21/0.44 % (21972)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) 0.21/0.44 % (21973)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) 0.21/0.44 % (21973)Instruction limit reached! 0.21/0.44 % (21973)------------------------------ 0.21/0.44 % (21973)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.44 % (21973)Termination reason: Unknown 0.21/0.44 % (21973)Termination phase: Property scanning 0.21/0.44 0.21/0.44 % (21973)Memory used [KB]: 1151 0.21/0.44 % (21973)Time elapsed: 0.007 s 0.21/0.44 % (21973)Instructions burned: 9 (million) 0.21/0.44 % (21973)------------------------------ 0.21/0.44 % (21973)------------------------------ 0.21/0.44 % (21966)Instruction limit reached! 0.21/0.44 % (21966)------------------------------ 0.21/0.44 % (21966)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.44 % (21966)Termination reason: Unknown 0.21/0.44 % (21966)Termination phase: Saturation 0.21/0.44 0.21/0.44 % (21966)Memory used [KB]: 5756 0.21/0.44 % (21966)Time elapsed: 0.044 s 0.21/0.44 % (21966)Instructions burned: 74 (million) 0.21/0.44 % (21966)------------------------------ 0.21/0.44 % (21966)------------------------------ 0.21/0.45 % (21974)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) 0.21/0.46 % (21975)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) 0.21/0.46 % (21961)Instruction limit reached! 0.21/0.46 % (21961)------------------------------ 0.21/0.46 % (21961)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.46 % (21961)Termination reason: Unknown 0.21/0.46 % (21961)Termination phase: Saturation 0.21/0.46 0.21/0.46 % (21961)Memory used [KB]: 6012 0.21/0.46 % (21961)Time elapsed: 0.059 s 0.21/0.46 % (21961)Instructions burned: 96 (million) 0.21/0.46 % (21961)------------------------------ 0.21/0.46 % (21961)------------------------------ 0.21/0.46 % (21976)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.21/0.47 % (21977)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.21/0.48 % (21977)Instruction limit reached! 0.21/0.48 % (21977)------------------------------ 0.21/0.48 % (21977)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.48 % (21977)Termination reason: Unknown 0.21/0.48 % (21977)Termination phase: Saturation 0.21/0.48 0.21/0.48 % (21977)Memory used [KB]: 5628 0.21/0.48 % (21977)Time elapsed: 0.010 s 0.21/0.48 % (21977)Instructions burned: 14 (million) 0.21/0.48 % (21977)------------------------------ 0.21/0.48 % (21977)------------------------------ 0.21/0.48 % (21972)Instruction limit reached! 0.21/0.48 % (21972)------------------------------ 0.21/0.48 % (21972)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.48 % (21972)Termination reason: Unknown 0.21/0.48 % (21972)Termination phase: Saturation 0.21/0.48 0.21/0.48 % (21972)Memory used [KB]: 6012 0.21/0.48 % (21972)Time elapsed: 0.046 s 0.21/0.48 % (21972)Instructions burned: 71 (million) 0.21/0.48 % (21972)------------------------------ 0.21/0.48 % (21972)------------------------------ 0.21/0.50 % (21976)Instruction limit reached! 0.21/0.50 % (21976)------------------------------ 0.21/0.50 % (21976)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.50 % (21976)Termination reason: Unknown 0.21/0.50 % (21976)Termination phase: Saturation 0.21/0.50 0.21/0.50 % (21976)Memory used [KB]: 6012 0.21/0.50 % (21976)Time elapsed: 0.038 s 0.21/0.50 % (21976)Instructions burned: 62 (million) 0.21/0.50 % (21976)------------------------------ 0.21/0.50 % (21976)------------------------------ 0.21/0.50 % (21978)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) 0.21/0.50 % (21979)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) 0.21/0.50 % (21978)Instruction limit reached! 0.21/0.50 % (21978)------------------------------ 0.21/0.50 % (21978)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.50 % (21978)Termination reason: Unknown 0.21/0.50 % (21978)Termination phase: shuffling 0.21/0.50 0.21/0.50 % (21978)Memory used [KB]: 1023 0.21/0.50 % (21978)Time elapsed: 0.003 s 0.21/0.50 % (21978)Instructions burned: 3 (million) 0.21/0.50 % (21978)------------------------------ 0.21/0.50 % (21978)------------------------------ 0.21/0.51 % (21980)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 (1798ds/11Mi) 0.21/0.51 % (21981)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 (1798ds/140Mi) 0.21/0.52 % (21980)Instruction limit reached! 0.21/0.52 % (21980)------------------------------ 0.21/0.52 % (21980)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.52 % (21980)Termination reason: Unknown 0.21/0.52 % (21980)Termination phase: Saturation 0.21/0.52 0.21/0.52 % (21980)Memory used [KB]: 5500 0.21/0.52 % (21980)Time elapsed: 0.008 s 0.21/0.52 % (21980)Instructions burned: 13 (million) 0.21/0.52 % (21980)------------------------------ 0.21/0.52 % (21980)------------------------------ 0.21/0.53 % (21982)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (1798ds/26Mi) 0.21/0.53 % (21975)Instruction limit reached! 0.21/0.53 % (21975)------------------------------ 0.21/0.53 % (21975)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.53 % (21975)Termination reason: Unknown 0.21/0.53 % (21975)Termination phase: Saturation 0.21/0.53 0.21/0.53 % (21975)Memory used [KB]: 6396 0.21/0.53 % (21975)Time elapsed: 0.071 s 0.21/0.53 % (21975)Instructions burned: 128 (million) 0.21/0.53 % (21975)------------------------------ 0.21/0.53 % (21975)------------------------------ 0.21/0.53 % (21982)Instruction limit reached! 0.21/0.53 % (21982)------------------------------ 0.21/0.53 % (21982)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.53 % (21982)Termination reason: Unknown 0.21/0.53 % (21982)Termination phase: Saturation 0.21/0.53 0.21/0.53 % (21982)Memory used [KB]: 5628 0.21/0.53 % (21982)Time elapsed: 0.009 s 0.21/0.53 % (21982)Instructions burned: 28 (million) 0.21/0.53 % (21982)------------------------------ 0.21/0.53 % (21982)------------------------------ 0.21/0.54 % (21984)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (1798ds/275Mi) 1.39/0.55 % (21983)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1798ds/56Mi) 1.54/0.57 % (21983)Instruction limit reached! 1.54/0.57 % (21983)------------------------------ 1.54/0.57 % (21983)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.57 % (21983)Termination reason: Unknown 1.54/0.57 % (21981)Instruction limit reached! 1.54/0.57 % (21981)------------------------------ 1.54/0.57 % (21981)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.57 % (21981)Termination reason: Unknown 1.54/0.57 % (21981)Termination phase: Saturation 1.54/0.57 1.54/0.57 % (21981)Memory used [KB]: 6268 1.54/0.57 % (21981)Time elapsed: 0.057 s 1.54/0.57 % (21981)Instructions burned: 142 (million) 1.54/0.57 % (21981)------------------------------ 1.54/0.57 % (21981)------------------------------ 1.54/0.57 % (21983)Termination phase: Saturation 1.54/0.57 1.54/0.57 % (21983)Memory used [KB]: 1535 1.54/0.57 % (21983)Time elapsed: 0.049 s 1.54/0.57 % (21983)Instructions burned: 56 (million) 1.54/0.57 % (21983)------------------------------ 1.54/0.57 % (21983)------------------------------ 1.54/0.58 % (21985)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi) 1.54/0.58 % (21986)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (1798ds/19Mi) 1.54/0.58 % (21985)Instruction limit reached! 1.54/0.58 % (21985)------------------------------ 1.54/0.58 % (21985)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.58 % (21985)Termination reason: Unknown 1.54/0.58 % (21985)Termination phase: Naming 1.54/0.58 1.54/0.58 % (21985)Memory used [KB]: 1023 1.54/0.58 % (21985)Time elapsed: 0.002 s 1.54/0.58 % (21985)Instructions burned: 3 (million) 1.54/0.58 % (21985)------------------------------ 1.54/0.58 % (21985)------------------------------ 1.54/0.58 % (21986)Instruction limit reached! 1.54/0.58 % (21986)------------------------------ 1.54/0.58 % (21986)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.58 % (21986)Termination reason: Unknown 1.54/0.58 % (21986)Termination phase: Saturation 1.54/0.58 1.54/0.58 % (21986)Memory used [KB]: 5500 1.54/0.58 % (21986)Time elapsed: 0.006 s 1.54/0.58 % (21986)Instructions burned: 19 (million) 1.54/0.58 % (21986)------------------------------ 1.54/0.58 % (21986)------------------------------ 1.54/0.59 % (21987)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on Vampire---4 for (1798ds/44Mi) 1.54/0.59 % (21964)Instruction limit reached! 1.54/0.59 % (21964)------------------------------ 1.54/0.59 % (21964)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.59 % (21964)Termination reason: Unknown 1.54/0.59 % (21964)Termination phase: Saturation 1.54/0.59 1.54/0.59 % (21964)Memory used [KB]: 7036 1.54/0.59 % (21964)Time elapsed: 0.189 s 1.54/0.59 % (21964)Instructions burned: 385 (million) 1.54/0.59 % (21964)------------------------------ 1.54/0.59 % (21964)------------------------------ 1.54/0.59 % (21988)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on Vampire---4 for (1798ds/191Mi) 1.54/0.60 % (21987)Instruction limit reached! 1.54/0.60 % (21987)------------------------------ 1.54/0.60 % (21987)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.60 % (21987)Termination reason: Unknown 1.54/0.60 % (21987)Termination phase: Saturation 1.54/0.60 1.54/0.60 % (21987)Memory used [KB]: 1151 1.54/0.60 % (21987)Time elapsed: 0.013 s 1.54/0.60 % (21987)Instructions burned: 47 (million) 1.54/0.60 % (21987)------------------------------ 1.54/0.60 % (21987)------------------------------ 1.54/0.60 % (21989)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (1798ds/62Mi) 1.54/0.61 % (21990)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=105:si=on:rtra=on_0 on Vampire---4 for (1798ds/105Mi) 1.54/0.62 % (21989)Instruction limit reached! 1.54/0.62 % (21989)------------------------------ 1.54/0.62 % (21989)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.62 % (21989)Termination reason: Unknown 1.54/0.62 % (21989)Termination phase: Saturation 1.54/0.62 1.54/0.62 % (21989)Memory used [KB]: 5884 1.54/0.62 % (21989)Time elapsed: 0.042 s 1.54/0.62 % (21989)Instructions burned: 63 (million) 1.54/0.62 % (21989)------------------------------ 1.54/0.62 % (21989)------------------------------ 1.96/0.63 % (21991)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1797ds/3Mi) 1.96/0.63 % (21991)Instruction limit reached! 1.96/0.63 % (21991)------------------------------ 1.96/0.63 % (21991)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.96/0.63 % (21991)Termination reason: Unknown 1.96/0.63 % (21991)Termination phase: Preprocessing 2 1.96/0.63 1.96/0.63 % (21991)Memory used [KB]: 1023 1.96/0.63 % (21991)Time elapsed: 0.002 s 1.96/0.63 % (21991)Instructions burned: 3 (million) 1.96/0.63 % (21991)------------------------------ 1.96/0.63 % (21991)------------------------------ 1.96/0.64 % (21992)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=238:si=on:rtra=on_0 on Vampire---4 for (1797ds/238Mi) 1.96/0.64 % (21984)Instruction limit reached! 1.96/0.64 % (21984)------------------------------ 1.96/0.64 % (21984)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.96/0.64 % (21984)Termination reason: Unknown 1.96/0.64 % (21984)Termination phase: Saturation 1.96/0.64 1.96/0.64 % (21984)Memory used [KB]: 6396 1.96/0.64 % (21984)Time elapsed: 0.095 s 1.96/0.64 % (21984)Instructions burned: 277 (million) 1.96/0.64 % (21984)------------------------------ 1.96/0.64 % (21984)------------------------------ 1.96/0.64 % (21990)Instruction limit reached! 1.96/0.64 % (21990)------------------------------ 1.96/0.64 % (21990)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.96/0.64 % (21990)Termination reason: Unknown 1.96/0.64 % (21990)Termination phase: Saturation 1.96/0.64 1.96/0.64 % (21990)Memory used [KB]: 6140 1.96/0.64 % (21990)Time elapsed: 0.060 s 1.96/0.64 % (21990)Instructions burned: 107 (million) 1.96/0.64 % (21990)------------------------------ 1.96/0.64 % (21990)------------------------------ 1.96/0.65 % (21993)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1797ds/3Mi) 1.96/0.65 % (21993)Instruction limit reached! 1.96/0.65 % (21993)------------------------------ 1.96/0.65 % (21993)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.96/0.65 % (21993)Termination reason: Unknown 1.96/0.65 % (21993)Termination phase: Preprocessing 2 1.96/0.65 1.96/0.65 % (21993)Memory used [KB]: 1023 1.96/0.65 % (21993)Time elapsed: 0.002 s 1.96/0.65 % (21993)Instructions burned: 3 (million) 1.96/0.65 % (21993)------------------------------ 1.96/0.65 % (21993)------------------------------ 1.96/0.65 % (21994)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (1797ds/4Mi) 1.96/0.65 % (21988)Instruction limit reached! 1.96/0.65 % (21988)------------------------------ 1.96/0.65 % (21988)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.96/0.65 % (21988)Termination reason: Unknown 1.96/0.65 % (21988)Termination phase: Saturation 1.96/0.65 1.96/0.65 % (21988)Memory used [KB]: 6652 1.96/0.65 % (21988)Time elapsed: 0.063 s 1.96/0.65 % (21988)Instructions burned: 191 (million) 1.96/0.65 % (21988)------------------------------ 1.96/0.65 % (21988)------------------------------ 1.96/0.65 % (21994)Instruction limit reached! 1.96/0.65 % (21994)------------------------------ 1.96/0.65 % (21994)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.96/0.65 % (21994)Termination reason: Unknown 1.96/0.65 % (21994)Termination phase: Preprocessing 3 1.96/0.65 1.96/0.65 % (21994)Memory used [KB]: 1023 1.96/0.65 % (21994)Time elapsed: 0.003 s 1.96/0.65 % (21994)Instructions burned: 6 (million) 1.96/0.65 % (21994)------------------------------ 1.96/0.65 % (21994)------------------------------ 1.96/0.65 % (21995)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on Vampire---4 for (1797ds/149Mi) 2.24/0.66 % (21996)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on Vampire---4 for (1797ds/150Mi) 2.24/0.66 % (21997)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=199:si=on:rtra=on_0 on Vampire---4 for (1797ds/199Mi) 2.24/0.69 % (21995)Instruction limit reached! 2.24/0.69 % (21995)------------------------------ 2.24/0.69 % (21995)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.24/0.69 % (21995)Termination reason: Unknown 2.24/0.69 % (21995)Termination phase: Property scanning 2.24/0.69 2.24/0.69 % (21995)Memory used [KB]: 2174 2.24/0.69 % (21995)Time elapsed: 0.037 s 2.24/0.69 % (21995)Instructions burned: 151 (million) 2.24/0.69 % (21995)------------------------------ 2.24/0.69 % (21995)------------------------------ 2.24/0.70 % (21998)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (1796ds/39Mi) 2.24/0.71 % (21996)Instruction limit reached! 2.24/0.71 % (21996)------------------------------ 2.24/0.71 % (21996)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.24/0.71 % (21996)Termination reason: Unknown 2.24/0.71 % (21996)Termination phase: Saturation 2.24/0.71 2.24/0.71 % (21996)Memory used [KB]: 6396 2.24/0.71 % (21996)Time elapsed: 0.050 s 2.24/0.71 % (21996)Instructions burned: 151 (million) 2.24/0.71 % (21996)------------------------------ 2.24/0.71 % (21996)------------------------------ 2.24/0.71 % (21992)Instruction limit reached! 2.24/0.71 % (21992)------------------------------ 2.24/0.71 % (21992)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.24/0.71 % (21992)Termination reason: Unknown 2.24/0.71 % (21992)Termination phase: Saturation 2.24/0.71 2.24/0.71 % (21992)Memory used [KB]: 6012 2.24/0.71 % (21992)Time elapsed: 0.075 s 2.24/0.71 % (21992)Instructions burned: 239 (million) 2.24/0.71 % (21992)------------------------------ 2.24/0.71 % (21992)------------------------------ 2.24/0.71 % (21998)Instruction limit reached! 2.24/0.71 % (21998)------------------------------ 2.24/0.71 % (21998)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.24/0.71 % (21998)Termination reason: Unknown 2.24/0.71 % (21998)Termination phase: Saturation 2.24/0.71 2.24/0.71 % (21998)Memory used [KB]: 5756 2.24/0.71 % (21998)Time elapsed: 0.015 s 2.24/0.71 % (21998)Instructions burned: 41 (million) 2.24/0.71 % (21998)------------------------------ 2.24/0.71 % (21998)------------------------------ 2.24/0.72 % (21999)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=721:si=on:rtra=on_0 on Vampire---4 for (1796ds/721Mi) 2.24/0.72 % (22000)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=3:si=on:rtra=on_0 on Vampire---4 for (1796ds/3Mi) 2.24/0.72 % (22000)Instruction limit reached! 2.24/0.72 % (22000)------------------------------ 2.24/0.72 % (22000)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.24/0.72 % (22000)Termination reason: Unknown 2.24/0.72 % (22000)Termination phase: Naming 2.24/0.72 2.24/0.72 % (22000)Memory used [KB]: 1023 2.24/0.72 % (22000)Time elapsed: 0.002 s 2.24/0.72 % (22000)Instructions burned: 3 (million) 2.24/0.72 % (22000)------------------------------ 2.24/0.72 % (22000)------------------------------ 2.24/0.72 % (22001)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 (1796ds/18Mi) 2.73/0.73 % (22001)Instruction limit reached! 2.73/0.73 % (22001)------------------------------ 2.73/0.73 % (22001)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.73/0.73 % (22001)Termination reason: Unknown 2.73/0.73 % (22001)Termination phase: Saturation 2.73/0.73 2.73/0.73 % (22001)Memory used [KB]: 5628 2.73/0.73 % (22001)Time elapsed: 0.007 s 2.73/0.73 % (22001)Instructions burned: 19 (million) 2.73/0.73 % (22001)------------------------------ 2.73/0.73 % (22001)------------------------------ 2.73/0.73 % (22002)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 (1796ds/218Mi) 2.73/0.73 % (21997)Instruction limit reached! 2.73/0.73 % (21997)------------------------------ 2.73/0.73 % (21997)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.73/0.73 % (21997)Termination reason: Unknown 2.73/0.73 % (21997)Termination phase: Saturation 2.73/0.73 2.73/0.73 % (21997)Memory used [KB]: 6268 2.73/0.73 % (21997)Time elapsed: 0.070 s 2.73/0.73 % (21997)Instructions burned: 200 (million) 2.73/0.73 % (21997)------------------------------ 2.73/0.73 % (21997)------------------------------ 2.73/0.74 % (22003)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 (1796ds/448Mi) 2.73/0.74 % (22004)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 (1796ds/6Mi) 2.73/0.74 % (22004)Instruction limit reached! 2.73/0.74 % (22004)------------------------------ 2.73/0.74 % (22004)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.73/0.74 % (22004)Termination reason: Unknown 2.73/0.74 % (22004)Termination phase: Saturation 2.73/0.74 2.73/0.74 % (22004)Memory used [KB]: 1023 2.73/0.74 % (22004)Time elapsed: 0.003 s 2.73/0.74 % (22004)Instructions burned: 7 (million) 2.73/0.74 % (22004)------------------------------ 2.73/0.74 % (22004)------------------------------ 2.73/0.75 % (22005)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 (1796ds/9Mi) 2.73/0.75 % (22005)Instruction limit reached! 2.73/0.75 % (22005)------------------------------ 2.73/0.75 % (22005)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.73/0.75 % (22005)Termination reason: Unknown 2.73/0.75 % (22005)Termination phase: Saturation 2.73/0.75 2.73/0.75 % (22005)Memory used [KB]: 5628 2.73/0.75 % (22005)Time elapsed: 0.004 s 2.73/0.75 % (22005)Instructions burned: 10 (million) 2.73/0.75 % (22005)------------------------------ 2.73/0.75 % (22005)------------------------------ 2.73/0.75 % (21968)Instruction limit reached! 2.73/0.75 % (21968)------------------------------ 2.73/0.75 % (21968)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.73/0.75 % (21968)Termination reason: Unknown 2.73/0.75 % (21968)Termination phase: Saturation 2.73/0.75 2.73/0.75 % (21968)Memory used [KB]: 7547 2.73/0.75 % (21968)Time elapsed: 0.353 s 2.73/0.75 % (21968)Instructions burned: 918 (million) 2.73/0.75 % (21968)------------------------------ 2.73/0.75 % (21968)------------------------------ 2.73/0.76 % (22006)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (1796ds/16Mi) 2.73/0.76 % (22007)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 (1796ds/40Mi) 3.00/0.77 % (22006)Instruction limit reached! 3.00/0.77 % (22006)------------------------------ 3.00/0.77 % (22006)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.00/0.77 % (22006)Termination reason: Unknown 3.00/0.77 % (22006)Termination phase: Property scanning 3.00/0.77 3.00/0.77 % (22006)Memory used [KB]: 1151 3.00/0.77 % (22006)Time elapsed: 0.006 s 3.00/0.77 % (22006)Instructions burned: 18 (million) 3.00/0.77 % (22006)------------------------------ 3.00/0.77 % (22006)------------------------------ 3.00/0.77 % (22008)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (1796ds/2Mi) 3.00/0.78 % (22008)Instruction limit reached! 3.00/0.78 % (22008)------------------------------ 3.00/0.78 % (22008)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.00/0.78 % (22008)Termination reason: Unknown 3.00/0.78 % (22008)Termination phase: Naming 3.00/0.78 3.00/0.78 % (22008)Memory used [KB]: 1023 3.00/0.78 % (22008)Time elapsed: 0.002 s 3.00/0.78 % (22008)Instructions burned: 3 (million) 3.00/0.78 % (22008)------------------------------ 3.00/0.78 % (22008)------------------------------ 3.00/0.78 % (22007)Instruction limit reached! 3.00/0.78 % (22007)------------------------------ 3.00/0.78 % (22007)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.00/0.78 % (22007)Termination reason: Unknown 3.00/0.78 % (22007)Termination phase: Saturation 3.00/0.78 3.00/0.78 % (22007)Memory used [KB]: 5884 3.00/0.78 % (22007)Time elapsed: 0.016 s 3.00/0.78 % (22007)Instructions burned: 42 (million) 3.00/0.78 % (22007)------------------------------ 3.00/0.78 % (22007)------------------------------ 3.00/0.78 % (21971)Instruction limit reached! 3.00/0.78 % (21971)------------------------------ 3.00/0.78 % (21971)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.00/0.78 % (21971)Termination reason: Unknown 3.00/0.78 % (21971)Termination phase: Saturation 3.00/0.78 3.00/0.78 % (21971)Memory used [KB]: 8443 3.00/0.78 % (21971)Time elapsed: 0.354 s 3.00/0.78 % (21971)Instructions burned: 1023 (million) 3.00/0.78 % (21971)------------------------------ 3.00/0.78 % (21971)------------------------------ 3.00/0.78 % (22009)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 (1796ds/98Mi) 3.00/0.79 % (22010)lrs+1004_1:1_chr=on:prag=on:i=8:si=on:rtra=on_0 on Vampire---4 for (1796ds/8Mi) 3.00/0.79 % (22010)Instruction limit reached! 3.00/0.79 % (22010)------------------------------ 3.00/0.79 % (22010)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.00/0.79 % (22010)Termination reason: Unknown 3.00/0.79 % (22010)Termination phase: Saturation 3.00/0.79 3.00/0.79 % (22010)Memory used [KB]: 5628 3.00/0.79 % (22010)Time elapsed: 0.004 s 3.00/0.79 % (22010)Instructions burned: 10 (million) 3.00/0.79 % (22010)------------------------------ 3.00/0.79 % (22010)------------------------------ 3.00/0.79 % (22011)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 (1796ds/86Mi) 3.00/0.80 % (22012)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 (1796ds/3Mi) 3.00/0.80 % (22012)Instruction limit reached! 3.00/0.80 % (22012)------------------------------ 3.00/0.80 % (22012)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.00/0.80 % (22012)Termination reason: Unknown 3.00/0.80 % (22012)Termination phase: Preprocessing 2 3.00/0.80 3.00/0.80 % (22012)Memory used [KB]: 1023 3.00/0.80 % (22012)Time elapsed: 0.002 s 3.00/0.80 % (22012)Instructions burned: 3 (million) 3.00/0.80 % (22012)------------------------------ 3.00/0.80 % (22012)------------------------------ 3.00/0.80 % (22002)Instruction limit reached! 3.00/0.80 % (22002)------------------------------ 3.00/0.80 % (22002)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.00/0.80 % (22002)Termination reason: Unknown 3.00/0.80 % (22002)Termination phase: Saturation 3.00/0.80 3.00/0.80 % (22002)Memory used [KB]: 6268 3.00/0.80 % (22002)Time elapsed: 0.076 s 3.00/0.80 % (22002)Instructions burned: 218 (million) 3.00/0.80 % (22002)------------------------------ 3.00/0.80 % (22002)------------------------------ 3.00/0.81 % (22013)lrs+1010_1:1024_au=on:hud=10:ntd=on:ss=included:i=294:si=on:rtra=on_0 on Vampire---4 for (1795ds/294Mi) 3.00/0.81 % (22014)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 (1795ds/274Mi) 3.00/0.81 % (22009)Instruction limit reached! 3.00/0.81 % (22009)------------------------------ 3.00/0.81 % (22009)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.00/0.81 % (22009)Termination reason: Unknown 3.00/0.81 % (22009)Termination phase: Saturation 3.00/0.81 3.00/0.81 % (22009)Memory used [KB]: 1279 3.00/0.81 % (22009)Time elapsed: 0.032 s 3.00/0.81 % (22009)Instructions burned: 100 (million) 3.00/0.81 % (22009)------------------------------ 3.00/0.81 % (22009)------------------------------ 3.00/0.82 % (22011)Instruction limit reached! 3.00/0.82 % (22011)------------------------------ 3.00/0.82 % (22011)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.00/0.82 % (22011)Termination reason: Unknown 3.00/0.82 % (22011)Termination phase: Saturation 3.00/0.82 3.00/0.82 % (22011)Memory used [KB]: 6140 3.00/0.82 % (22011)Time elapsed: 0.029 s 3.00/0.82 % (22011)Instructions burned: 87 (million) 3.00/0.82 % (22011)------------------------------ 3.00/0.82 % (22011)------------------------------ 3.00/0.82 % (22015)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (1795ds/47Mi) 3.00/0.83 % (21974)Instruction limit reached! 3.00/0.83 % (21974)------------------------------ 3.00/0.83 % (21974)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.00/0.83 % (21974)Termination reason: Unknown 3.00/0.83 % (21974)Termination phase: Saturation 3.00/0.83 3.00/0.83 % (21974)Memory used [KB]: 7931 3.00/0.83 % (21974)Time elapsed: 0.383 s 3.00/0.83 % (21974)Instructions burned: 1044 (million) 3.00/0.83 % (21974)------------------------------ 3.00/0.83 % (21974)------------------------------ 3.00/0.83 % (22016)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 (1795ds/37Mi) 3.40/0.84 % (22017)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 (1795ds/3Mi) 3.40/0.84 % (22017)Instruction limit reached! 3.40/0.84 % (22017)------------------------------ 3.40/0.84 % (22017)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.40/0.84 % (22017)Termination reason: Unknown 3.40/0.84 % (22017)Termination phase: Preprocessing 1 3.40/0.84 3.40/0.84 % (22017)Memory used [KB]: 1023 3.40/0.84 % (22017)Time elapsed: 0.002 s 3.40/0.84 % (22017)Instructions burned: 3 (million) 3.40/0.84 % (22017)------------------------------ 3.40/0.84 % (22017)------------------------------ 3.40/0.84 % (22016)Instruction limit reached! 3.40/0.84 % (22016)------------------------------ 3.40/0.84 % (22016)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.40/0.84 % (22016)Termination reason: Unknown 3.40/0.84 % (22016)Termination phase: Saturation 3.40/0.84 3.40/0.84 % (22016)Memory used [KB]: 5628 3.40/0.84 % (22016)Time elapsed: 0.011 s 3.40/0.84 % (22016)Instructions burned: 37 (million) 3.40/0.84 % (22016)------------------------------ 3.40/0.84 % (22016)------------------------------ 3.40/0.84 % (22015)Instruction limit reached! 3.40/0.84 % (22015)------------------------------ 3.40/0.84 % (22015)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.40/0.84 % (22015)Termination reason: Unknown 3.40/0.84 % (22015)Termination phase: Saturation 3.40/0.84 3.40/0.84 % (22015)Memory used [KB]: 5756 3.40/0.84 % (22015)Time elapsed: 0.017 s 3.40/0.84 % (22015)Instructions burned: 48 (million) 3.40/0.84 % (22015)------------------------------ 3.40/0.84 % (22015)------------------------------ 3.40/0.85 % (22018)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 (1795ds/19Mi) 3.40/0.85 % (22019)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 (1795ds/5Mi) 3.40/0.85 % (22020)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 (1795ds/44Mi) 3.40/0.85 % (22019)Instruction limit reached! 3.40/0.85 % (22019)------------------------------ 3.40/0.85 % (22019)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.40/0.85 % (22019)Termination reason: Unknown 3.40/0.85 % (22019)Termination phase: Saturation 3.40/0.85 3.40/0.85 % (22019)Memory used [KB]: 1023 3.40/0.85 % (22019)Time elapsed: 0.003 s 3.40/0.85 % (22019)Instructions burned: 8 (million) 3.40/0.85 % (22019)------------------------------ 3.40/0.85 % (22019)------------------------------ 3.40/0.85 % (22018)Instruction limit reached! 3.40/0.85 % (22018)------------------------------ 3.40/0.85 % (22018)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.40/0.85 % (22018)Termination reason: Unknown 3.40/0.85 % (22018)Termination phase: Saturation 3.40/0.85 3.40/0.85 % (22018)Memory used [KB]: 5628 3.40/0.85 % (22018)Time elapsed: 0.007 s 3.40/0.85 % (22018)Instructions burned: 20 (million) 3.40/0.85 % (22018)------------------------------ 3.40/0.85 % (22018)------------------------------ 3.40/0.85 % (21979)First to succeed. 3.40/0.86 % (22021)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 (1795ds/450Mi) 3.40/0.86 % (22022)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=102:si=on:rtra=on_0 on Vampire---4 for (1795ds/102Mi) 3.40/0.86 % (22020)Instruction limit reached! 3.40/0.86 % (22020)------------------------------ 3.40/0.86 % (22020)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.40/0.86 % (22020)Termination reason: Unknown 3.40/0.86 % (22020)Termination phase: Saturation 3.40/0.86 3.40/0.86 % (22020)Memory used [KB]: 10106 3.40/0.86 % (22020)Time elapsed: 0.015 s 3.40/0.86 % (22020)Instructions burned: 44 (million) 3.40/0.86 % (22020)------------------------------ 3.40/0.86 % (22020)------------------------------ 3.53/0.87 % (22023)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 (1795ds/134Mi) 3.53/0.87 % (21979)Refutation found. Thanks to Tanya! 3.53/0.87 % SZS status Theorem for Vampire---4 3.53/0.87 % SZS output start Proof for Vampire---4 3.53/0.87 thf(type_def_5, type, a: $tType). 3.53/0.87 thf(func_def_0, type, a: $tType). 3.53/0.87 thf(func_def_21, type, ph1: !>[X0: $tType]:(X0)). 3.53/0.87 thf(func_def_22, type, sK2: a > a > $o). 3.53/0.87 thf(func_def_23, type, sK3: a). 3.53/0.87 thf(func_def_24, type, sK4: a). 3.53/0.87 thf(func_def_25, type, sK5: a > a > $o). 3.53/0.87 thf(func_def_26, type, sK6: a > $o). 3.53/0.87 thf(func_def_27, type, sK7: a). 3.53/0.87 thf(func_def_28, type, sK8: a). 3.53/0.87 thf(func_def_29, type, sK9: a). 3.53/0.87 thf(func_def_30, type, sK10: a). 3.53/0.87 thf(func_def_31, type, sK11: a). 3.53/0.87 thf(func_def_32, type, sK12: a). 3.53/0.87 thf(func_def_33, type, sK13: a > $o). 3.53/0.87 thf(func_def_34, type, sK14: a). 3.53/0.87 thf(func_def_35, type, sK15: a). 3.53/0.87 thf(func_def_36, type, sK16: a > $o). 3.53/0.87 thf(func_def_37, type, sK17: a). 3.53/0.87 thf(func_def_38, type, sK18: a). 3.53/0.87 thf(func_def_39, type, sK19: a). 3.53/0.87 thf(func_def_40, type, sK20: a). 3.53/0.87 thf(func_def_41, type, sK21: a). 3.53/0.87 thf(func_def_42, type, sK22: a). 3.53/0.87 thf(func_def_43, type, sK23: a). 3.53/0.87 thf(func_def_44, type, sK24: a). 3.53/0.87 thf(func_def_45, type, sK25: a). 3.53/0.87 thf(func_def_46, type, sK26: a). 3.53/0.87 thf(func_def_47, type, sK27: a). 3.53/0.87 thf(func_def_48, type, sK28: a). 3.53/0.87 thf(func_def_49, type, sK29: a). 3.53/0.87 thf(func_def_50, type, sK30: a). 3.53/0.87 thf(func_def_51, type, sK31: a). 3.53/0.87 thf(func_def_52, type, sK32: a). 3.53/0.87 thf(func_def_53, type, sK33: (a > $o) > a). 3.53/0.87 thf(func_def_54, type, sK34: a). 3.53/0.87 thf(func_def_55, type, sK35: a). 3.53/0.87 thf(func_def_56, type, sK36: a). 3.53/0.87 thf(func_def_57, type, sK37: a). 3.53/0.87 thf(func_def_58, type, sK38: a). 3.53/0.87 thf(func_def_59, type, sK39: a). 3.53/0.87 thf(func_def_60, type, sK40: a). 3.53/0.87 thf(func_def_61, type, sK41: (a > $o) > a). 3.53/0.87 thf(func_def_62, type, sK42: a). 3.53/0.87 thf(func_def_63, type, sK43: a). 3.53/0.87 thf(func_def_64, type, sK44: a). 3.53/0.87 thf(func_def_65, type, sK45: a). 3.53/0.87 thf(f8375,plain,( 3.53/0.87 $false), 3.53/0.87 inference(avatar_sat_refutation,[],[f39,f197,f207,f424,f617,f900,f1149,f1409,f2898,f4707,f4719,f5595,f5608,f5676,f5684,f5691,f6479,f6696,f7043,f7047,f7652,f7707,f8229,f8293,f8374])). 3.53/0.87 thf(f8374,plain,( 3.53/0.87 ~spl0_6 | ~spl0_10 | ~spl0_95), 3.53/0.87 inference(avatar_contradiction_clause,[],[f8373])). 3.53/0.87 thf(f8373,plain,( 3.53/0.87 $false | (~spl0_6 | ~spl0_10 | ~spl0_95)), 3.53/0.87 inference(trivial_inequality_removal,[],[f8372])). 3.53/0.87 thf(f8372,plain,( 3.53/0.87 ($true = $false) | (~spl0_6 | ~spl0_10 | ~spl0_95)), 3.53/0.87 inference(forward_demodulation,[],[f8371,f8320])). 3.53/0.87 thf(f8320,plain,( 3.53/0.87 ($false = (sK16 @ sK43)) | ~spl0_95), 3.53/0.87 inference(boolean_simplification,[],[f8319])). 3.53/0.87 thf(f8319,plain,( 3.53/0.87 ($false = ($true => (sK16 @ sK43))) | ~spl0_95), 3.53/0.87 inference(backward_demodulation,[],[f8308,f8318])). 3.53/0.87 thf(f8318,plain,( 3.53/0.87 ($true = ((sK16 @ sK44) & (sK2 @ sK44 @ sK43))) | ~spl0_95), 3.53/0.87 inference(binary_proxy_clausification,[],[f8308])). 3.53/0.87 thf(f8308,plain,( 3.53/0.87 ($false = (((sK16 @ sK44) & (sK2 @ sK44 @ sK43)) => (sK16 @ sK43))) | ~spl0_95), 3.53/0.87 inference(beta_eta_normalization,[],[f8307])). 3.53/0.87 thf(f8307,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (((sK16 @ Y0) & (sK2 @ Y0 @ sK43)) => (sK16 @ sK43))) @ sK44)) | ~spl0_95), 3.53/0.87 inference(sigma_clausification,[],[f8300])). 3.53/0.87 thf(f8300,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (((sK16 @ Y0) & (sK2 @ Y0 @ sK43)) => (sK16 @ sK43))))) | ~spl0_95), 3.53/0.87 inference(beta_eta_normalization,[],[f8296])). 3.53/0.87 thf(f8296,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK16 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK16 @ Y0))))) @ sK43)) | ~spl0_95), 3.53/0.87 inference(sigma_clausification,[],[f8225])). 3.53/0.87 thf(f8225,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK16 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK16 @ Y0))))))) | ~spl0_95), 3.53/0.87 inference(avatar_component_clause,[],[f8224])). 3.53/0.87 thf(f8224,plain,( 3.53/0.87 spl0_95 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK16 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK16 @ Y0)))))))), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_95])])). 3.53/0.87 thf(f8371,plain,( 3.53/0.87 ($true = (sK16 @ sK43)) | (~spl0_6 | ~spl0_10 | ~spl0_95)), 3.53/0.87 inference(boolean_simplification,[],[f8370])). 3.53/0.87 thf(f8370,plain,( 3.53/0.87 ($true = ($true => (sK16 @ sK43))) | (~spl0_6 | ~spl0_10 | ~spl0_95)), 3.53/0.87 inference(forward_demodulation,[],[f8369,f8355])). 3.53/0.87 thf(f8355,plain,( 3.53/0.87 ($true = (sK16 @ sK45)) | ~spl0_95), 3.53/0.87 inference(boolean_simplification,[],[f8354])). 3.53/0.87 thf(f8354,plain,( 3.53/0.87 ($true = ((sK16 @ sK45) & $true)) | ~spl0_95), 3.53/0.87 inference(backward_demodulation,[],[f8340,f8352])). 3.53/0.87 thf(f8352,plain,( 3.53/0.87 ($true = (sK2 @ sK45 @ sK43)) | ~spl0_95), 3.53/0.87 inference(binary_proxy_clausification,[],[f8340])). 3.53/0.87 thf(f8340,plain,( 3.53/0.87 ($true = ((sK16 @ sK45) & (sK2 @ sK45 @ sK43))) | ~spl0_95), 3.53/0.87 inference(not_proxy_clausification,[],[f8333])). 3.53/0.87 thf(f8333,plain,( 3.53/0.87 ($false = (~ ((sK16 @ sK45) & (sK2 @ sK45 @ sK43)))) | ~spl0_95), 3.53/0.87 inference(beta_eta_normalization,[],[f8332])). 3.53/0.87 thf(f8332,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (~ ((sK16 @ Y0) & (sK2 @ Y0 @ sK43)))) @ sK45)) | ~spl0_95), 3.53/0.87 inference(sigma_clausification,[],[f8322])). 3.53/0.87 thf(f8322,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (~ ((sK16 @ Y0) & (sK2 @ Y0 @ sK43)))))) | ~spl0_95), 3.53/0.87 inference(boolean_simplification,[],[f8321])). 3.53/0.87 thf(f8321,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (((sK16 @ Y0) & (sK2 @ Y0 @ sK43)) => $false)))) | ~spl0_95), 3.53/0.87 inference(backward_demodulation,[],[f8300,f8320])). 3.53/0.87 thf(f8369,plain,( 3.53/0.87 ($true = ((sK16 @ sK45) => (sK16 @ sK43))) | (~spl0_6 | ~spl0_10 | ~spl0_95)), 3.53/0.87 inference(boolean_simplification,[],[f8368])). 3.53/0.87 thf(f8368,plain,( 3.53/0.87 ($true = (($true & (sK16 @ sK45)) => (sK16 @ sK43))) | (~spl0_6 | ~spl0_10 | ~spl0_95)), 3.53/0.87 inference(boolean_simplification,[],[f8364])). 3.53/0.87 thf(f8364,plain,( 3.53/0.87 ($true = ((((sK5 @ sK45 @ sK43) | $true) & (sK16 @ sK45)) => (sK16 @ sK43))) | (~spl0_6 | ~spl0_10 | ~spl0_95)), 3.53/0.87 inference(superposition,[],[f7787,f8352])). 3.53/0.87 thf(f7787,plain,( 3.53/0.87 ( ! [X2 : a,X1 : a] : ((((((sK5 @ X1 @ X2) | (sK2 @ X1 @ X2)) & (sK16 @ X1)) => (sK16 @ X2)) = $true)) ) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(beta_eta_normalization,[],[f7786])). 3.53/0.87 thf(f7786,plain,( 3.53/0.87 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: ((((sK5 @ X1 @ Y0) | (sK2 @ X1 @ Y0)) & (sK16 @ X1)) => (sK16 @ Y0))) @ X2))) ) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(pi_clausification,[],[f7771])). 3.53/0.87 thf(f7771,plain,( 3.53/0.87 ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((((sK5 @ X1 @ Y0) | (sK2 @ X1 @ Y0)) & (sK16 @ X1)) => (sK16 @ Y0)))))) ) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(beta_eta_normalization,[],[f7770])). 3.53/0.87 thf(f7770,plain,( 3.53/0.87 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK16 @ Y0)) => (sK16 @ Y1))))) @ X1))) ) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(pi_clausification,[],[f7756])). 3.53/0.87 thf(f7756,plain,( 3.53/0.87 ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK16 @ Y0)) => (sK16 @ Y1))))))) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(boolean_simplification,[],[f7755])). 3.53/0.87 thf(f7755,plain,( 3.53/0.87 ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK16 @ Y0)) => (sK16 @ Y1)))))) & $true)) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(backward_demodulation,[],[f7721,f7753])). 3.53/0.87 thf(f7753,plain,( 3.53/0.87 ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK14 @ Y0) | (sK2 @ sK14 @ Y0)) => (sK16 @ Y0)))) = $true) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(binary_proxy_clausification,[],[f7721])). 3.53/0.87 thf(f7721,plain,( 3.53/0.87 ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK16 @ Y0)) => (sK16 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK14 @ Y0) | (sK2 @ sK14 @ Y0)) => (sK16 @ Y0)))))) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(binary_proxy_clausification,[],[f7712])). 3.53/0.87 thf(f7712,plain,( 3.53/0.87 ($false = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK16 @ Y0)) => (sK16 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK14 @ Y0) | (sK2 @ sK14 @ Y0)) => (sK16 @ Y0))))) => (sK16 @ sK15))) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(beta_eta_normalization,[],[f7711])). 3.53/0.87 thf(f7711,plain,( 3.53/0.87 ($false = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK14 @ Y1) | (sK2 @ sK14 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))) @ sK16)) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(sigma_clausification,[],[f7710])). 3.53/0.87 thf(f7710,plain,( 3.53/0.87 ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK14 @ Y1) | (sK2 @ sK14 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))))) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(boolean_simplification,[],[f7709])). 3.53/0.87 thf(f7709,plain,( 3.53/0.87 ($false = ($true => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK14 @ Y1) | (sK2 @ sK14 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15)))))) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(boolean_simplification,[],[f7708])). 3.53/0.87 thf(f7708,plain,( 3.53/0.87 ($false = (($true | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK5 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK14 @ Y1) | (sK2 @ sK14 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15)))))) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(backward_demodulation,[],[f7082,f423])). 3.53/0.87 thf(f423,plain,( 3.53/0.87 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK15))))) | ~spl0_10), 3.53/0.87 inference(avatar_component_clause,[],[f422])). 3.53/0.87 thf(f422,plain,( 3.53/0.87 spl0_10 <=> ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK15)))))), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])). 3.53/0.87 thf(f7082,plain,( 3.53/0.87 ($false = (((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK15)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK5 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK14 @ Y1) | (sK2 @ sK14 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15)))))) | ~spl0_6), 3.53/0.87 inference(beta_eta_normalization,[],[f7081])). 3.53/0.87 thf(f7081,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK14 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: ((sK5 @ sK14 @ Y2) => (Y1 @ Y2))))) => (Y1 @ Y0))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK5 @ Y2 @ Y3) | (sK2 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ sK14 @ Y2) | (sK2 @ sK14 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0)))))) @ sK15)) | ~spl0_6), 3.53/0.87 inference(sigma_clausification,[],[f7076])). 3.53/0.87 thf(f7076,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK14 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: ((sK5 @ sK14 @ Y2) => (Y1 @ Y2))))) => (Y1 @ Y0))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK5 @ Y2 @ Y3) | (sK2 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ sK14 @ Y2) | (sK2 @ sK14 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0)))))))) | ~spl0_6), 3.53/0.87 inference(beta_eta_normalization,[],[f7075])). 3.53/0.87 thf(f7075,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y0 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK5 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK2 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y0 @ Y3) | (sK2 @ Y0 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1)))))))) @ sK14)) | ~spl0_6), 3.53/0.87 inference(sigma_clausification,[],[f206])). 3.53/0.87 thf(f206,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y0 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK5 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK2 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y0 @ Y3) | (sK2 @ Y0 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1)))))))))) | ~spl0_6), 3.53/0.87 inference(avatar_component_clause,[],[f205])). 3.53/0.87 thf(f205,plain,( 3.53/0.87 spl0_6 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y0 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK5 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK2 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y0 @ Y3) | (sK2 @ Y0 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1))))))))))), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 3.53/0.87 thf(f8293,plain,( 3.53/0.87 ~spl0_6 | ~spl0_10 | ~spl0_96), 3.53/0.87 inference(avatar_contradiction_clause,[],[f8292])). 3.53/0.87 thf(f8292,plain,( 3.53/0.87 $false | (~spl0_6 | ~spl0_10 | ~spl0_96)), 3.53/0.87 inference(trivial_inequality_removal,[],[f8291])). 3.53/0.87 thf(f8291,plain,( 3.53/0.87 ($true = $false) | (~spl0_6 | ~spl0_10 | ~spl0_96)), 3.53/0.87 inference(boolean_simplification,[],[f8290])). 3.53/0.87 thf(f8290,plain,( 3.53/0.87 ($true = (~ $true)) | (~spl0_6 | ~spl0_10 | ~spl0_96)), 3.53/0.87 inference(boolean_simplification,[],[f8289])). 3.53/0.87 thf(f8289,plain,( 3.53/0.87 ((~ ((sK5 @ sK14 @ sK42) | $true)) = $true) | (~spl0_6 | ~spl0_10 | ~spl0_96)), 3.53/0.87 inference(forward_demodulation,[],[f8285,f8275])). 3.53/0.87 thf(f8275,plain,( 3.53/0.87 ($true = (sK2 @ sK14 @ sK42)) | ~spl0_96), 3.53/0.87 inference(binary_proxy_clausification,[],[f8249])). 3.53/0.87 thf(f8249,plain,( 3.53/0.87 ($false = ((sK2 @ sK14 @ sK42) => (sK16 @ sK42))) | ~spl0_96), 3.53/0.87 inference(beta_eta_normalization,[],[f8245])). 3.53/0.87 thf(f8245,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: ((sK2 @ sK14 @ Y0) => (sK16 @ Y0))) @ sK42)) | ~spl0_96), 3.53/0.87 inference(sigma_clausification,[],[f8228])). 3.53/0.87 thf(f8228,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: ((sK2 @ sK14 @ Y0) => (sK16 @ Y0))))) | ~spl0_96), 3.53/0.87 inference(avatar_component_clause,[],[f8227])). 3.53/0.87 thf(f8227,plain,( 3.53/0.87 spl0_96 <=> ($false = (!! @ a @ (^[Y0 : a]: ((sK2 @ sK14 @ Y0) => (sK16 @ Y0)))))), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_96])])). 3.53/0.87 thf(f8285,plain,( 3.53/0.87 ($true = (~ ((sK5 @ sK14 @ sK42) | (sK2 @ sK14 @ sK42)))) | (~spl0_6 | ~spl0_10 | ~spl0_96)), 3.53/0.87 inference(boolean_simplification,[],[f8280])). 3.53/0.87 thf(f8280,plain,( 3.53/0.87 ($true = (((sK5 @ sK14 @ sK42) | (sK2 @ sK14 @ sK42)) => $false)) | (~spl0_6 | ~spl0_10 | ~spl0_96)), 3.53/0.87 inference(superposition,[],[f8180,f8274])). 3.53/0.87 thf(f8274,plain,( 3.53/0.87 ((sK16 @ sK42) = $false) | ~spl0_96), 3.53/0.87 inference(binary_proxy_clausification,[],[f8249])). 3.53/0.87 thf(f8180,plain,( 3.53/0.87 ( ! [X1 : a] : (($true = (((sK5 @ sK14 @ X1) | (sK2 @ sK14 @ X1)) => (sK16 @ X1)))) ) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(beta_eta_normalization,[],[f8179])). 3.53/0.87 thf(f8179,plain,( 3.53/0.87 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (((sK5 @ sK14 @ Y0) | (sK2 @ sK14 @ Y0)) => (sK16 @ Y0))) @ X1))) ) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(pi_clausification,[],[f7753])). 3.53/0.87 thf(f8229,plain,( 3.53/0.87 spl0_95 | spl0_96 | ~spl0_6 | ~spl0_10), 3.53/0.87 inference(avatar_split_clause,[],[f8220,f422,f205,f8227,f8224])). 3.53/0.87 thf(f8220,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: ((sK2 @ sK14 @ Y0) => (sK16 @ Y0))))) | ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK16 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK16 @ Y0))))))) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(binary_proxy_clausification,[],[f8204])). 3.53/0.87 thf(f8204,plain,( 3.53/0.87 (((!! @ a @ (^[Y0 : a]: ((sK2 @ sK14 @ Y0) => (sK16 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK16 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK16 @ Y0))))))) = $false) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(not_proxy_clausification,[],[f7744])). 3.53/0.87 thf(f7744,plain,( 3.53/0.87 ($true = (~ ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK14 @ Y0) => (sK16 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK16 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK16 @ Y0))))))))) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(boolean_simplification,[],[f7743])). 3.53/0.87 thf(f7743,plain,( 3.53/0.87 ($true = (((!! @ a @ (^[Y0 : a]: ((sK2 @ sK14 @ Y0) => (sK16 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK16 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK16 @ Y0))))))) => $false)) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(superposition,[],[f7725,f7723])). 3.53/0.87 thf(f7723,plain,( 3.53/0.87 ($false = (sK16 @ sK15)) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(boolean_simplification,[],[f7722])). 3.53/0.87 thf(f7722,plain,( 3.53/0.87 ($false = ($true => (sK16 @ sK15))) | (~spl0_6 | ~spl0_10)), 3.53/0.87 inference(backward_demodulation,[],[f7712,f7721])). 3.53/0.87 thf(f7725,plain,( 3.53/0.87 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: ((sK2 @ sK14 @ Y0) => (X1 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((X1 @ Y1) & (sK2 @ Y1 @ Y0)) => (X1 @ Y0))))))) => (X1 @ sK15)))) ) | ~spl0_10), 3.53/0.87 inference(beta_eta_normalization,[],[f7724])). 3.53/0.87 thf(f7724,plain,( 3.53/0.87 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK15))) @ X1))) ) | ~spl0_10), 3.53/0.87 inference(pi_clausification,[],[f423])). 3.53/0.87 thf(f7707,plain,( 3.53/0.87 ~spl0_6 | ~spl0_9 | ~spl0_15), 3.53/0.87 inference(avatar_contradiction_clause,[],[f7706])). 3.53/0.87 thf(f7706,plain,( 3.53/0.87 $false | (~spl0_6 | ~spl0_9 | ~spl0_15)), 3.53/0.87 inference(trivial_inequality_removal,[],[f7705])). 3.53/0.87 thf(f7705,plain,( 3.53/0.87 ($true = $false) | (~spl0_6 | ~spl0_9 | ~spl0_15)), 3.53/0.87 inference(boolean_simplification,[],[f7704])). 3.53/0.87 thf(f7704,plain,( 3.53/0.87 ($true = (~ $true)) | (~spl0_6 | ~spl0_9 | ~spl0_15)), 3.53/0.87 inference(boolean_simplification,[],[f7703])). 3.53/0.87 thf(f7703,plain,( 3.53/0.87 ($true = (~ ($true | (sK2 @ sK14 @ sK20)))) | (~spl0_6 | ~spl0_9 | ~spl0_15)), 3.53/0.87 inference(forward_demodulation,[],[f7699,f7691])). 3.53/0.87 thf(f7691,plain,( 3.53/0.87 ($true = (sK5 @ sK14 @ sK20)) | ~spl0_15), 3.53/0.87 inference(binary_proxy_clausification,[],[f7660])). 3.53/0.87 thf(f7660,plain,( 3.53/0.87 ($false = ((sK5 @ sK14 @ sK20) => (sK16 @ sK20))) | ~spl0_15), 3.53/0.87 inference(beta_eta_normalization,[],[f7656])). 3.53/0.87 thf(f7656,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: ((sK5 @ sK14 @ Y0) => (sK16 @ Y0))) @ sK20)) | ~spl0_15), 3.53/0.87 inference(sigma_clausification,[],[f613])). 3.53/0.87 thf(f613,plain,( 3.53/0.87 ((!! @ a @ (^[Y0 : a]: ((sK5 @ sK14 @ Y0) => (sK16 @ Y0)))) = $false) | ~spl0_15), 3.53/0.87 inference(avatar_component_clause,[],[f612])). 3.53/0.87 thf(f612,plain,( 3.53/0.87 spl0_15 <=> ((!! @ a @ (^[Y0 : a]: ((sK5 @ sK14 @ Y0) => (sK16 @ Y0)))) = $false)), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])). 3.53/0.87 thf(f7699,plain,( 3.53/0.87 ($true = (~ ((sK5 @ sK14 @ sK20) | (sK2 @ sK14 @ sK20)))) | (~spl0_6 | ~spl0_9 | ~spl0_15)), 3.53/0.87 inference(boolean_simplification,[],[f7698])). 3.53/0.87 thf(f7698,plain,( 3.53/0.87 ($true = (((sK5 @ sK14 @ sK20) | (sK2 @ sK14 @ sK20)) => $false)) | (~spl0_6 | ~spl0_9 | ~spl0_15)), 3.53/0.87 inference(superposition,[],[f7113,f7690])). 3.53/0.87 thf(f7690,plain,( 3.53/0.87 ($false = (sK16 @ sK20)) | ~spl0_15), 3.53/0.87 inference(binary_proxy_clausification,[],[f7660])). 3.53/0.87 thf(f7113,plain,( 3.53/0.87 ( ! [X1 : a] : (($true = (((sK5 @ sK14 @ X1) | (sK2 @ sK14 @ X1)) => (sK16 @ X1)))) ) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(beta_eta_normalization,[],[f7112])). 3.53/0.87 thf(f7112,plain,( 3.53/0.87 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (((sK5 @ sK14 @ Y0) | (sK2 @ sK14 @ Y0)) => (sK16 @ Y0))) @ X1))) ) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(pi_clausification,[],[f7102])). 3.53/0.87 thf(f7102,plain,( 3.53/0.87 ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK14 @ Y0) | (sK2 @ sK14 @ Y0)) => (sK16 @ Y0)))) = $true) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(boolean_simplification,[],[f7101])). 3.53/0.87 thf(f7101,plain,( 3.53/0.87 (($true & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK14 @ Y0) | (sK2 @ sK14 @ Y0)) => (sK16 @ Y0))))) = $true) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(backward_demodulation,[],[f7089,f7100])). 3.53/0.87 thf(f7100,plain,( 3.53/0.87 ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK16 @ Y0)) => (sK16 @ Y1))))))) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(binary_proxy_clausification,[],[f7089])). 3.53/0.87 thf(f7089,plain,( 3.53/0.87 ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK16 @ Y0)) => (sK16 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK14 @ Y0) | (sK2 @ sK14 @ Y0)) => (sK16 @ Y0)))))) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(binary_proxy_clausification,[],[f7087])). 3.53/0.87 thf(f7087,plain,( 3.53/0.87 ($false = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK16 @ Y0)) => (sK16 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK14 @ Y0) | (sK2 @ sK14 @ Y0)) => (sK16 @ Y0))))) => (sK16 @ sK15))) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(beta_eta_normalization,[],[f7086])). 3.53/0.87 thf(f7086,plain,( 3.53/0.87 ($false = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK14 @ Y1) | (sK2 @ sK14 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))) @ sK16)) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(sigma_clausification,[],[f7085])). 3.53/0.87 thf(f7085,plain,( 3.53/0.87 ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK14 @ Y1) | (sK2 @ sK14 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))))) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(boolean_simplification,[],[f7084])). 3.53/0.87 thf(f7084,plain,( 3.53/0.87 ($false = ($true => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK14 @ Y1) | (sK2 @ sK14 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15)))))) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(boolean_simplification,[],[f7083])). 3.53/0.87 thf(f7083,plain,( 3.53/0.87 ($false = (((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK15)))) | $true) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK14 @ Y1) | (sK2 @ sK14 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15)))))) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(forward_demodulation,[],[f7082,f420])). 3.53/0.87 thf(f420,plain,( 3.53/0.87 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK5 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15))))) | ~spl0_9), 3.53/0.87 inference(avatar_component_clause,[],[f419])). 3.53/0.87 thf(f419,plain,( 3.53/0.87 spl0_9 <=> ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK5 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15)))))), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])). 3.53/0.87 thf(f7652,plain,( 3.53/0.87 ~spl0_6 | ~spl0_9 | ~spl0_16), 3.53/0.87 inference(avatar_contradiction_clause,[],[f7651])). 3.53/0.87 thf(f7651,plain,( 3.53/0.87 $false | (~spl0_6 | ~spl0_9 | ~spl0_16)), 3.53/0.87 inference(trivial_inequality_removal,[],[f7650])). 3.53/0.87 thf(f7650,plain,( 3.53/0.87 ($true = $false) | (~spl0_6 | ~spl0_9 | ~spl0_16)), 3.53/0.87 inference(forward_demodulation,[],[f7649,f7198])). 3.53/0.87 thf(f7198,plain,( 3.53/0.87 ((sK16 @ sK23) = $false) | ~spl0_16), 3.53/0.87 inference(boolean_simplification,[],[f7197])). 3.53/0.87 thf(f7197,plain,( 3.53/0.87 ($false = ($true => (sK16 @ sK23))) | ~spl0_16), 3.53/0.87 inference(backward_demodulation,[],[f7185,f7196])). 3.53/0.87 thf(f7196,plain,( 3.53/0.87 ($true = ((sK5 @ sK22 @ sK23) & (sK16 @ sK22))) | ~spl0_16), 3.53/0.87 inference(binary_proxy_clausification,[],[f7185])). 3.53/0.87 thf(f7185,plain,( 3.53/0.87 ($false = (((sK5 @ sK22 @ sK23) & (sK16 @ sK22)) => (sK16 @ sK23))) | ~spl0_16), 3.53/0.87 inference(beta_eta_normalization,[],[f7184])). 3.53/0.87 thf(f7184,plain,( 3.53/0.87 (((^[Y0 : a]: (((sK5 @ sK22 @ Y0) & (sK16 @ sK22)) => (sK16 @ Y0))) @ sK23) = $false) | ~spl0_16), 3.53/0.87 inference(sigma_clausification,[],[f7172])). 3.53/0.87 thf(f7172,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (((sK5 @ sK22 @ Y0) & (sK16 @ sK22)) => (sK16 @ Y0))))) | ~spl0_16), 3.53/0.87 inference(beta_eta_normalization,[],[f7170])). 3.53/0.87 thf(f7170,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y0 @ Y1) & (sK16 @ Y0)) => (sK16 @ Y1))))) @ sK22)) | ~spl0_16), 3.53/0.87 inference(sigma_clausification,[],[f616])). 3.53/0.87 thf(f616,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y0 @ Y1) & (sK16 @ Y0)) => (sK16 @ Y1))))))) | ~spl0_16), 3.53/0.87 inference(avatar_component_clause,[],[f615])). 3.53/0.87 thf(f615,plain,( 3.53/0.87 spl0_16 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y0 @ Y1) & (sK16 @ Y0)) => (sK16 @ Y1)))))))), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])). 3.53/0.87 thf(f7649,plain,( 3.53/0.87 ($true = (sK16 @ sK23)) | (~spl0_6 | ~spl0_9 | ~spl0_16)), 3.53/0.87 inference(boolean_simplification,[],[f7648])). 3.53/0.87 thf(f7648,plain,( 3.53/0.87 ($true = ($true => (sK16 @ sK23))) | (~spl0_6 | ~spl0_9 | ~spl0_16)), 3.53/0.87 inference(forward_demodulation,[],[f7643,f7217])). 3.53/0.87 thf(f7217,plain,( 3.53/0.87 ($true = (sK16 @ sK22)) | ~spl0_16), 3.53/0.87 inference(boolean_simplification,[],[f7216])). 3.53/0.87 thf(f7216,plain,( 3.53/0.87 ($true = ($true & (sK16 @ sK22))) | ~spl0_16), 3.53/0.87 inference(backward_demodulation,[],[f7196,f7215])). 3.53/0.87 thf(f7215,plain,( 3.53/0.87 ($true = (sK5 @ sK22 @ sK23)) | ~spl0_16), 3.53/0.87 inference(binary_proxy_clausification,[],[f7196])). 3.53/0.87 thf(f7643,plain,( 3.53/0.87 ($true = ((sK16 @ sK22) => (sK16 @ sK23))) | (~spl0_6 | ~spl0_9 | ~spl0_16)), 3.53/0.87 inference(boolean_simplification,[],[f7642])). 3.53/0.87 thf(f7642,plain,( 3.53/0.87 ($true = (($true & (sK16 @ sK22)) => (sK16 @ sK23))) | (~spl0_6 | ~spl0_9 | ~spl0_16)), 3.53/0.87 inference(boolean_simplification,[],[f7640])). 3.53/0.87 thf(f7640,plain,( 3.53/0.87 ($true = ((($true | (sK2 @ sK22 @ sK23)) & (sK16 @ sK22)) => (sK16 @ sK23))) | (~spl0_6 | ~spl0_9 | ~spl0_16)), 3.53/0.87 inference(superposition,[],[f7213,f7215])). 3.53/0.87 thf(f7213,plain,( 3.53/0.87 ( ! [X2 : a,X1 : a] : ((((((sK5 @ X1 @ X2) | (sK2 @ X1 @ X2)) & (sK16 @ X1)) => (sK16 @ X2)) = $true)) ) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(beta_eta_normalization,[],[f7212])). 3.53/0.87 thf(f7212,plain,( 3.53/0.87 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: ((((sK5 @ X1 @ Y0) | (sK2 @ X1 @ Y0)) & (sK16 @ X1)) => (sK16 @ Y0))) @ X2))) ) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(pi_clausification,[],[f7202])). 3.53/0.87 thf(f7202,plain,( 3.53/0.87 ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((((sK5 @ X1 @ Y0) | (sK2 @ X1 @ Y0)) & (sK16 @ X1)) => (sK16 @ Y0)))))) ) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(beta_eta_normalization,[],[f7201])). 3.53/0.87 thf(f7201,plain,( 3.53/0.87 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK16 @ Y0)) => (sK16 @ Y1))))) @ X1))) ) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(pi_clausification,[],[f7100])). 3.53/0.87 thf(f7047,plain,( 3.53/0.87 ~spl0_51 | ~spl0_80 | ~spl0_83), 3.53/0.87 inference(avatar_contradiction_clause,[],[f7046])). 3.53/0.87 thf(f7046,plain,( 3.53/0.87 $false | (~spl0_51 | ~spl0_80 | ~spl0_83)), 3.53/0.87 inference(trivial_inequality_removal,[],[f7045])). 3.53/0.87 thf(f7045,plain,( 3.53/0.87 ($true = $false) | (~spl0_51 | ~spl0_80 | ~spl0_83)), 3.53/0.87 inference(boolean_simplification,[],[f7044])). 3.53/0.87 thf(f7044,plain,( 3.53/0.87 ($false = ((sK13 @ sK28) => $true)) | (~spl0_51 | ~spl0_80 | ~spl0_83)), 3.53/0.87 inference(backward_demodulation,[],[f7039,f6692])). 3.53/0.87 thf(f6692,plain,( 3.53/0.87 ((sK13 @ sK29) = $true) | ~spl0_83), 3.53/0.87 inference(avatar_component_clause,[],[f6691])). 3.53/0.87 thf(f6691,plain,( 3.53/0.87 spl0_83 <=> ((sK13 @ sK29) = $true)), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_83])])). 3.53/0.87 thf(f7039,plain,( 3.53/0.87 ($false = ((sK13 @ sK28) => (sK13 @ sK29))) | (~spl0_51 | ~spl0_80)), 3.53/0.87 inference(boolean_simplification,[],[f7038])). 3.53/0.87 thf(f7038,plain,( 3.53/0.87 ($false = (($true & (sK13 @ sK28)) => (sK13 @ sK29))) | (~spl0_51 | ~spl0_80)), 3.53/0.87 inference(boolean_simplification,[],[f7037])). 3.53/0.87 thf(f7037,plain,( 3.53/0.87 ($false = ((((sK2 @ sK28 @ sK29) | $true) & (sK13 @ sK28)) => (sK13 @ sK29))) | (~spl0_51 | ~spl0_80)), 3.53/0.87 inference(forward_demodulation,[],[f7036,f5594])). 3.53/0.87 thf(f5594,plain,( 3.53/0.87 ($true = (sK5 @ sK28 @ sK29)) | ~spl0_80), 3.53/0.87 inference(avatar_component_clause,[],[f5593])). 3.53/0.87 thf(f5593,plain,( 3.53/0.87 spl0_80 <=> ($true = (sK5 @ sK28 @ sK29))), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_80])])). 3.53/0.87 thf(f7036,plain,( 3.53/0.87 ($false = ((((sK2 @ sK28 @ sK29) | (sK5 @ sK28 @ sK29)) & (sK13 @ sK28)) => (sK13 @ sK29))) | ~spl0_51), 3.53/0.87 inference(beta_eta_normalization,[],[f7035])). 3.53/0.87 thf(f7035,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: ((((sK2 @ sK28 @ Y0) | (sK5 @ sK28 @ Y0)) & (sK13 @ sK28)) => (sK13 @ Y0))) @ sK29)) | ~spl0_51), 3.53/0.87 inference(sigma_clausification,[],[f7011])). 3.53/0.87 thf(f7011,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: ((((sK2 @ sK28 @ Y0) | (sK5 @ sK28 @ Y0)) & (sK13 @ sK28)) => (sK13 @ Y0))))) | ~spl0_51), 3.53/0.87 inference(beta_eta_normalization,[],[f7004])). 3.53/0.87 thf(f7004,plain,( 3.53/0.87 (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK13 @ Y0)) => (sK13 @ Y1))))) @ sK28) = $false) | ~spl0_51), 3.53/0.87 inference(sigma_clausification,[],[f2897])). 3.53/0.87 thf(f2897,plain,( 3.53/0.87 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK13 @ Y0)) => (sK13 @ Y1)))))) = $false) | ~spl0_51), 3.53/0.87 inference(avatar_component_clause,[],[f2896])). 3.53/0.87 thf(f2896,plain,( 3.53/0.87 spl0_51 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK13 @ Y0)) => (sK13 @ Y1)))))) = $false)), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_51])])). 3.53/0.87 thf(f7043,plain,( 3.53/0.87 ~spl0_51 | ~spl0_80 | ~spl0_84), 3.53/0.87 inference(avatar_contradiction_clause,[],[f7042])). 3.53/0.87 thf(f7042,plain,( 3.53/0.87 $false | (~spl0_51 | ~spl0_80 | ~spl0_84)), 3.53/0.87 inference(trivial_inequality_removal,[],[f7041])). 3.53/0.87 thf(f7041,plain,( 3.53/0.87 ($true = $false) | (~spl0_51 | ~spl0_80 | ~spl0_84)), 3.53/0.87 inference(boolean_simplification,[],[f7040])). 3.53/0.87 thf(f7040,plain,( 3.53/0.87 (($false => (sK13 @ sK29)) = $false) | (~spl0_51 | ~spl0_80 | ~spl0_84)), 3.53/0.87 inference(forward_demodulation,[],[f7039,f6695])). 3.53/0.87 thf(f6695,plain,( 3.53/0.87 ($false = (sK13 @ sK28)) | ~spl0_84), 3.53/0.87 inference(avatar_component_clause,[],[f6694])). 3.53/0.87 thf(f6694,plain,( 3.53/0.87 spl0_84 <=> ($false = (sK13 @ sK28))), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_84])])). 3.53/0.87 thf(f6696,plain,( 3.53/0.87 spl0_83 | spl0_84 | ~spl0_5 | ~spl0_80), 3.53/0.87 inference(avatar_split_clause,[],[f6689,f5593,f202,f6694,f6691])). 3.53/0.87 thf(f202,plain,( 3.53/0.87 spl0_5 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y2 @ Y4) | (sK2 @ Y2 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & ((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4))) => (Y3 @ Y4)))))) & (!! @ a @ (^[Y4 : a]: (((sK2 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))))))))) = $false)), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 3.53/0.87 thf(f6689,plain,( 3.53/0.87 ($false = (sK13 @ sK28)) | ((sK13 @ sK29) = $true) | (~spl0_5 | ~spl0_80)), 3.53/0.87 inference(binary_proxy_clausification,[],[f6625])). 3.53/0.87 thf(f6625,plain,( 3.53/0.87 ($true = ((sK13 @ sK28) => (sK13 @ sK29))) | (~spl0_5 | ~spl0_80)), 3.53/0.87 inference(boolean_simplification,[],[f6624])). 3.53/0.87 thf(f6624,plain,( 3.53/0.87 ($true = (((sK13 @ sK28) & $true) => (sK13 @ sK29))) | (~spl0_5 | ~spl0_80)), 3.53/0.87 inference(boolean_simplification,[],[f6622])). 3.53/0.87 thf(f6622,plain,( 3.53/0.87 ($true = (((sK13 @ sK28) & ($true | (sK2 @ sK28 @ sK29))) => (sK13 @ sK29))) | (~spl0_5 | ~spl0_80)), 3.53/0.87 inference(superposition,[],[f1537,f5594])). 3.53/0.87 thf(f1537,plain,( 3.53/0.87 ( ! [X2 : a,X1 : a] : (($true = (((sK13 @ X2) & ((sK5 @ X2 @ X1) | (sK2 @ X2 @ X1))) => (sK13 @ X1)))) ) | ~spl0_5), 3.53/0.87 inference(beta_eta_normalization,[],[f1536])). 3.53/0.87 thf(f1536,plain,( 3.53/0.87 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: (((sK13 @ Y0) & ((sK5 @ Y0 @ X1) | (sK2 @ Y0 @ X1))) => (sK13 @ X1))) @ X2))) ) | ~spl0_5), 3.53/0.87 inference(pi_clausification,[],[f1531])). 3.53/0.87 thf(f1531,plain,( 3.53/0.87 ( ! [X1 : a] : (((!! @ a @ (^[Y0 : a]: (((sK13 @ Y0) & ((sK5 @ Y0 @ X1) | (sK2 @ Y0 @ X1))) => (sK13 @ X1)))) = $true)) ) | ~spl0_5), 3.53/0.87 inference(beta_eta_normalization,[],[f1530])). 3.53/0.87 thf(f1530,plain,( 3.53/0.87 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK13 @ Y1) & ((sK5 @ Y1 @ Y0) | (sK2 @ Y1 @ Y0))) => (sK13 @ Y0))))) @ X1))) ) | ~spl0_5), 3.53/0.87 inference(pi_clausification,[],[f1520])). 3.53/0.87 thf(f1520,plain,( 3.53/0.87 ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK13 @ Y1) & ((sK5 @ Y1 @ Y0) | (sK2 @ Y1 @ Y0))) => (sK13 @ Y0))))))) | ~spl0_5), 3.53/0.87 inference(boolean_simplification,[],[f1519])). 3.53/0.87 thf(f1519,plain,( 3.53/0.87 ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK13 @ Y1) & ((sK5 @ Y1 @ Y0) | (sK2 @ Y1 @ Y0))) => (sK13 @ Y0)))))) & $true)) | ~spl0_5), 3.53/0.87 inference(backward_demodulation,[],[f1388,f1517])). 3.53/0.87 thf(f1517,plain,( 3.53/0.87 ($true = (!! @ a @ (^[Y0 : a]: (((sK2 @ sK9 @ Y0) | (sK5 @ sK9 @ Y0)) => (sK13 @ Y0))))) | ~spl0_5), 3.53/0.87 inference(binary_proxy_clausification,[],[f1388])). 3.53/0.87 thf(f1388,plain,( 3.53/0.87 ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK13 @ Y1) & ((sK5 @ Y1 @ Y0) | (sK2 @ Y1 @ Y0))) => (sK13 @ Y0)))))) & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK9 @ Y0) | (sK5 @ sK9 @ Y0)) => (sK13 @ Y0)))))) | ~spl0_5), 3.53/0.87 inference(binary_proxy_clausification,[],[f1386])). 3.53/0.87 thf(f1386,plain,( 3.53/0.87 ($false = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK13 @ Y1) & ((sK5 @ Y1 @ Y0) | (sK2 @ Y1 @ Y0))) => (sK13 @ Y0)))))) & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK9 @ Y0) | (sK5 @ sK9 @ Y0)) => (sK13 @ Y0))))) => (sK13 @ sK10))) | ~spl0_5), 3.53/0.87 inference(beta_eta_normalization,[],[f1385])). 3.53/0.87 thf(f1385,plain,( 3.53/0.87 ($false = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & ((sK5 @ Y2 @ Y1) | (sK2 @ Y2 @ Y1))) => (Y0 @ Y1)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK9 @ Y1) | (sK5 @ sK9 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10))) @ sK13)) | ~spl0_5), 3.53/0.87 inference(sigma_clausification,[],[f1302])). 3.53/0.87 thf(f1302,plain,( 3.53/0.87 ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & ((sK5 @ Y2 @ Y1) | (sK2 @ Y2 @ Y1))) => (Y0 @ Y1)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK9 @ Y1) | (sK5 @ sK9 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10))))) | ~spl0_5), 3.53/0.87 inference(binary_proxy_clausification,[],[f1292])). 3.53/0.87 thf(f1292,plain,( 3.53/0.87 ($false = (((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK11 @ Y1) | (sK2 @ sK11 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10)))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK9 @ Y1) | (sK2 @ sK9 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK11))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & ((sK5 @ Y2 @ Y1) | (sK2 @ Y2 @ Y1))) => (Y0 @ Y1)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK9 @ Y1) | (sK5 @ sK9 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10)))))) | ~spl0_5), 3.53/0.87 inference(beta_eta_normalization,[],[f1291])). 3.53/0.87 thf(f1291,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & ((sK2 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3))) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ Y0 @ Y2) | (sK2 @ Y0 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK10)))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK2 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ sK9 @ Y2) | (sK2 @ sK9 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & ((sK5 @ Y3 @ Y2) | (sK2 @ Y3 @ Y2))) => (Y1 @ Y2)))))) & (!! @ a @ (^[Y2 : a]: (((sK2 @ sK9 @ Y2) | (sK5 @ sK9 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK10)))))) @ sK11)) | ~spl0_5), 3.53/0.87 inference(sigma_clausification,[],[f1278])). 3.53/0.87 thf(f1278,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & ((sK2 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3))) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ Y0 @ Y2) | (sK2 @ Y0 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK10)))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK2 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ sK9 @ Y2) | (sK2 @ sK9 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & ((sK5 @ Y3 @ Y2) | (sK2 @ Y3 @ Y2))) => (Y1 @ Y2)))))) & (!! @ a @ (^[Y2 : a]: (((sK2 @ sK9 @ Y2) | (sK5 @ sK9 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK10)))))))) | ~spl0_5), 3.53/0.87 inference(beta_eta_normalization,[],[f1277])). 3.53/0.87 thf(f1277,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & ((sK2 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4))) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y1 @ Y3) | (sK2 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0)))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK2 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ sK9 @ Y3) | (sK2 @ sK9 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & ((sK5 @ Y4 @ Y3) | (sK2 @ Y4 @ Y3))) => (Y2 @ Y3)))))) & (!! @ a @ (^[Y3 : a]: (((sK2 @ sK9 @ Y3) | (sK5 @ sK9 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0)))))))) @ sK10)) | ~spl0_5), 3.53/0.87 inference(sigma_clausification,[],[f1248])). 3.53/0.87 thf(f1248,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & ((sK2 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4))) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y1 @ Y3) | (sK2 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0)))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK2 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ sK9 @ Y3) | (sK2 @ sK9 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & ((sK5 @ Y4 @ Y3) | (sK2 @ Y4 @ Y3))) => (Y2 @ Y3)))))) & (!! @ a @ (^[Y3 : a]: (((sK2 @ sK9 @ Y3) | (sK5 @ sK9 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0)))))))))) | ~spl0_5), 3.53/0.87 inference(beta_eta_normalization,[],[f1247])). 3.53/0.87 thf(f1247,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y2 @ Y4) | (sK2 @ Y2 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & ((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4))) => (Y3 @ Y4)))))) & (!! @ a @ (^[Y4 : a]: (((sK2 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1)))))))))) @ sK9)) | ~spl0_5), 3.53/0.87 inference(sigma_clausification,[],[f203])). 3.53/0.87 thf(f203,plain,( 3.53/0.87 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y2 @ Y4) | (sK2 @ Y2 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & ((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4))) => (Y3 @ Y4)))))) & (!! @ a @ (^[Y4 : a]: (((sK2 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))))))))) = $false) | ~spl0_5), 3.53/0.87 inference(avatar_component_clause,[],[f202])). 3.53/0.87 thf(f6479,plain,( 3.53/0.87 spl0_50 | spl0_51 | ~spl0_5 | ~spl0_17 | ~spl0_29), 3.53/0.87 inference(avatar_split_clause,[],[f6474,f1407,f898,f202,f2896,f2893])). 3.53/0.87 thf(f2893,plain,( 3.53/0.87 spl0_50 <=> ($false = (!! @ a @ (^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK2 @ sK9 @ Y0)) => (sK13 @ Y0)))))), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_50])])). 3.53/0.87 thf(f898,plain,( 3.53/0.87 spl0_17 <=> ($false = (!! @ a @ (^[Y0 : a]: (((sK5 @ sK11 @ Y0) | (sK2 @ sK11 @ Y0)) => (sK13 @ Y0)))))), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])). 3.53/0.87 thf(f1407,plain,( 3.53/0.87 spl0_29 <=> ($true = (sK2 @ sK11 @ sK21))), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_29])])). 3.53/0.87 thf(f6474,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK2 @ sK9 @ Y0)) => (sK13 @ Y0))))) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK13 @ Y0)) => (sK13 @ Y1)))))) = $false) | (~spl0_5 | ~spl0_17 | ~spl0_29)), 3.53/0.87 inference(binary_proxy_clausification,[],[f6466])). 3.53/0.87 thf(f6466,plain,( 3.53/0.87 ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK13 @ Y0)) => (sK13 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK2 @ sK9 @ Y0)) => (sK13 @ Y0)))))) | (~spl0_5 | ~spl0_17 | ~spl0_29)), 3.53/0.87 inference(not_proxy_clausification,[],[f5787])). 3.53/0.87 thf(f5787,plain,( 3.53/0.87 ((~ ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK13 @ Y0)) => (sK13 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK2 @ sK9 @ Y0)) => (sK13 @ Y0)))))) = $true) | (~spl0_5 | ~spl0_17 | ~spl0_29)), 3.53/0.87 inference(boolean_simplification,[],[f5780])). 3.53/0.87 thf(f5780,plain,( 3.53/0.87 ($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK13 @ Y0)) => (sK13 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK2 @ sK9 @ Y0)) => (sK13 @ Y0))))) => $false)) | (~spl0_5 | ~spl0_17 | ~spl0_29)), 3.53/0.87 inference(superposition,[],[f1623,f5726])). 3.53/0.87 thf(f5726,plain,( 3.53/0.87 ($false = (sK13 @ sK11)) | (~spl0_5 | ~spl0_17 | ~spl0_29)), 3.53/0.87 inference(not_proxy_clausification,[],[f5723])). 3.53/0.87 thf(f5723,plain,( 3.53/0.87 ($true = (~ (sK13 @ sK11))) | (~spl0_5 | ~spl0_17 | ~spl0_29)), 3.53/0.87 inference(boolean_simplification,[],[f5722])). 3.53/0.87 thf(f5722,plain,( 3.53/0.87 ($true = ((sK13 @ sK11) => $false)) | (~spl0_5 | ~spl0_17 | ~spl0_29)), 3.53/0.87 inference(forward_demodulation,[],[f5721,f5695])). 3.53/0.87 thf(f5695,plain,( 3.53/0.87 ($false = (sK13 @ sK21)) | (~spl0_17 | ~spl0_29)), 3.53/0.87 inference(boolean_simplification,[],[f5694])). 3.53/0.87 thf(f5694,plain,( 3.53/0.87 ($false = ($true => (sK13 @ sK21))) | (~spl0_17 | ~spl0_29)), 3.53/0.87 inference(boolean_simplification,[],[f5693])). 3.53/0.87 thf(f5693,plain,( 3.53/0.87 ($false = (((sK5 @ sK11 @ sK21) | $true) => (sK13 @ sK21))) | (~spl0_17 | ~spl0_29)), 3.53/0.87 inference(backward_demodulation,[],[f4730,f1408])). 3.53/0.87 thf(f1408,plain,( 3.53/0.87 ($true = (sK2 @ sK11 @ sK21)) | ~spl0_29), 3.53/0.87 inference(avatar_component_clause,[],[f1407])). 3.53/0.87 thf(f4730,plain,( 3.53/0.87 ($false = (((sK5 @ sK11 @ sK21) | (sK2 @ sK11 @ sK21)) => (sK13 @ sK21))) | ~spl0_17), 3.53/0.87 inference(beta_eta_normalization,[],[f4726])). 3.53/0.87 thf(f4726,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (((sK5 @ sK11 @ Y0) | (sK2 @ sK11 @ Y0)) => (sK13 @ Y0))) @ sK21)) | ~spl0_17), 3.53/0.87 inference(sigma_clausification,[],[f899])). 3.53/0.87 thf(f899,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (((sK5 @ sK11 @ Y0) | (sK2 @ sK11 @ Y0)) => (sK13 @ Y0))))) | ~spl0_17), 3.53/0.87 inference(avatar_component_clause,[],[f898])). 3.53/0.87 thf(f5721,plain,( 3.53/0.87 ($true = ((sK13 @ sK11) => (sK13 @ sK21))) | (~spl0_5 | ~spl0_29)), 3.53/0.87 inference(boolean_simplification,[],[f5720])). 3.53/0.87 thf(f5720,plain,( 3.53/0.87 ($true = (((sK13 @ sK11) & $true) => (sK13 @ sK21))) | (~spl0_5 | ~spl0_29)), 3.53/0.87 inference(boolean_simplification,[],[f5716])). 3.53/0.87 thf(f5716,plain,( 3.53/0.87 ($true = (((sK13 @ sK11) & ((sK5 @ sK11 @ sK21) | $true)) => (sK13 @ sK21))) | (~spl0_5 | ~spl0_29)), 3.53/0.87 inference(superposition,[],[f1537,f1408])). 3.53/0.87 thf(f1623,plain,( 3.53/0.87 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (X1 @ Y0)) => (X1 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK2 @ sK9 @ Y0)) => (X1 @ Y0))))) => (X1 @ sK11)))) ) | ~spl0_5), 3.53/0.87 inference(beta_eta_normalization,[],[f1622])). 3.53/0.87 thf(f1622,plain,( 3.53/0.87 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK9 @ Y1) | (sK2 @ sK9 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK11))) @ X1))) ) | ~spl0_5), 3.53/0.87 inference(pi_clausification,[],[f1430])). 3.53/0.87 thf(f1430,plain,( 3.53/0.87 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK9 @ Y1) | (sK2 @ sK9 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK11))))) | ~spl0_5), 3.53/0.87 inference(binary_proxy_clausification,[],[f1303])). 3.53/0.87 thf(f1303,plain,( 3.53/0.87 ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK11 @ Y1) | (sK2 @ sK11 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10)))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK9 @ Y1) | (sK2 @ sK9 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK11)))))) | ~spl0_5), 3.53/0.87 inference(binary_proxy_clausification,[],[f1292])). 3.53/0.87 thf(f5691,plain,( 3.53/0.87 ~spl0_5 | ~spl0_50 | ~spl0_82), 3.53/0.87 inference(avatar_contradiction_clause,[],[f5690])). 3.53/0.87 thf(f5690,plain,( 3.53/0.87 $false | (~spl0_5 | ~spl0_50 | ~spl0_82)), 3.53/0.87 inference(trivial_inequality_removal,[],[f5689])). 3.53/0.87 thf(f5689,plain,( 3.53/0.87 ($true = $false) | (~spl0_5 | ~spl0_50 | ~spl0_82)), 3.53/0.87 inference(boolean_simplification,[],[f5688])). 3.53/0.87 thf(f5688,plain,( 3.53/0.87 ($true = (~ $true)) | (~spl0_5 | ~spl0_50 | ~spl0_82)), 3.53/0.87 inference(boolean_simplification,[],[f5687])). 3.53/0.87 thf(f5687,plain,( 3.53/0.87 ($true = (~ ((sK2 @ sK9 @ sK40) | $true))) | (~spl0_5 | ~spl0_50 | ~spl0_82)), 3.53/0.87 inference(backward_demodulation,[],[f5662,f5675])). 3.53/0.87 thf(f5675,plain,( 3.53/0.87 ($true = (sK5 @ sK9 @ sK40)) | ~spl0_82), 3.53/0.87 inference(avatar_component_clause,[],[f5674])). 3.53/0.87 thf(f5674,plain,( 3.53/0.87 spl0_82 <=> ($true = (sK5 @ sK9 @ sK40))), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_82])])). 3.53/0.87 thf(f5662,plain,( 3.53/0.87 ($true = (~ ((sK2 @ sK9 @ sK40) | (sK5 @ sK9 @ sK40)))) | (~spl0_5 | ~spl0_50)), 3.53/0.87 inference(boolean_simplification,[],[f5647])). 3.53/0.87 thf(f5647,plain,( 3.53/0.87 ($true = (((sK2 @ sK9 @ sK40) | (sK5 @ sK9 @ sK40)) => $false)) | (~spl0_5 | ~spl0_50)), 3.53/0.87 inference(superposition,[],[f1713,f5638])). 3.53/0.87 thf(f5638,plain,( 3.53/0.87 ($false = (sK13 @ sK40)) | ~spl0_50), 3.53/0.87 inference(binary_proxy_clausification,[],[f5622])). 3.53/0.87 thf(f5622,plain,( 3.53/0.87 ((((sK5 @ sK9 @ sK40) | (sK2 @ sK9 @ sK40)) => (sK13 @ sK40)) = $false) | ~spl0_50), 3.53/0.87 inference(beta_eta_normalization,[],[f5615])). 3.53/0.87 thf(f5615,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK2 @ sK9 @ Y0)) => (sK13 @ Y0))) @ sK40)) | ~spl0_50), 3.53/0.87 inference(sigma_clausification,[],[f2894])). 3.53/0.87 thf(f2894,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK2 @ sK9 @ Y0)) => (sK13 @ Y0))))) | ~spl0_50), 3.53/0.87 inference(avatar_component_clause,[],[f2893])). 3.53/0.87 thf(f1713,plain,( 3.53/0.87 ( ! [X1 : a] : (($true = (((sK2 @ sK9 @ X1) | (sK5 @ sK9 @ X1)) => (sK13 @ X1)))) ) | ~spl0_5), 3.53/0.87 inference(beta_eta_normalization,[],[f1712])). 3.53/0.87 thf(f1712,plain,( 3.53/0.87 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (((sK2 @ sK9 @ Y0) | (sK5 @ sK9 @ Y0)) => (sK13 @ Y0))) @ X1))) ) | ~spl0_5), 3.53/0.87 inference(pi_clausification,[],[f1517])). 3.53/0.87 thf(f5684,plain,( 3.53/0.87 ~spl0_5 | ~spl0_50 | ~spl0_81), 3.53/0.87 inference(avatar_contradiction_clause,[],[f5683])). 3.53/0.87 thf(f5683,plain,( 3.53/0.87 $false | (~spl0_5 | ~spl0_50 | ~spl0_81)), 3.53/0.87 inference(trivial_inequality_removal,[],[f5682])). 3.53/0.87 thf(f5682,plain,( 3.53/0.87 ($true = $false) | (~spl0_5 | ~spl0_50 | ~spl0_81)), 3.53/0.87 inference(boolean_simplification,[],[f5681])). 3.53/0.87 thf(f5681,plain,( 3.53/0.87 ($true = (~ $true)) | (~spl0_5 | ~spl0_50 | ~spl0_81)), 3.53/0.87 inference(boolean_simplification,[],[f5679])). 3.53/0.87 thf(f5679,plain,( 3.53/0.87 ($true = (~ ($true | (sK5 @ sK9 @ sK40)))) | (~spl0_5 | ~spl0_50 | ~spl0_81)), 3.53/0.87 inference(backward_demodulation,[],[f5662,f5672])). 3.53/0.87 thf(f5672,plain,( 3.53/0.87 ($true = (sK2 @ sK9 @ sK40)) | ~spl0_81), 3.53/0.87 inference(avatar_component_clause,[],[f5671])). 3.53/0.87 thf(f5671,plain,( 3.53/0.87 spl0_81 <=> ($true = (sK2 @ sK9 @ sK40))), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_81])])). 3.53/0.87 thf(f5676,plain,( 3.53/0.87 spl0_81 | spl0_82 | ~spl0_50), 3.53/0.87 inference(avatar_split_clause,[],[f5663,f2893,f5674,f5671])). 3.53/0.87 thf(f5663,plain,( 3.53/0.87 ($true = (sK2 @ sK9 @ sK40)) | ($true = (sK5 @ sK9 @ sK40)) | ~spl0_50), 3.53/0.87 inference(binary_proxy_clausification,[],[f5639])). 3.53/0.87 thf(f5639,plain,( 3.53/0.87 ($true = ((sK5 @ sK9 @ sK40) | (sK2 @ sK9 @ sK40))) | ~spl0_50), 3.53/0.87 inference(binary_proxy_clausification,[],[f5622])). 3.53/0.87 thf(f5608,plain,( 3.53/0.87 ~spl0_5 | ~spl0_51 | ~spl0_79), 3.53/0.87 inference(avatar_contradiction_clause,[],[f5607])). 3.53/0.87 thf(f5607,plain,( 3.53/0.87 $false | (~spl0_5 | ~spl0_51 | ~spl0_79)), 3.53/0.87 inference(trivial_inequality_removal,[],[f5606])). 3.53/0.87 thf(f5606,plain,( 3.53/0.87 ($true = $false) | (~spl0_5 | ~spl0_51 | ~spl0_79)), 3.53/0.87 inference(forward_demodulation,[],[f5605,f2965])). 3.53/0.87 thf(f2965,plain,( 3.53/0.87 ((sK13 @ sK29) = $false) | ~spl0_51), 3.53/0.87 inference(binary_proxy_clausification,[],[f2944])). 3.53/0.87 thf(f2944,plain,( 3.53/0.87 ($false = ((((sK2 @ sK28 @ sK29) | (sK5 @ sK28 @ sK29)) & (sK13 @ sK28)) => (sK13 @ sK29))) | ~spl0_51), 3.53/0.87 inference(beta_eta_normalization,[],[f2943])). 3.53/0.87 thf(f2943,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: ((((sK2 @ sK28 @ Y0) | (sK5 @ sK28 @ Y0)) & (sK13 @ sK28)) => (sK13 @ Y0))) @ sK29)) | ~spl0_51), 3.53/0.87 inference(sigma_clausification,[],[f2918])). 3.53/0.87 thf(f2918,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: ((((sK2 @ sK28 @ Y0) | (sK5 @ sK28 @ Y0)) & (sK13 @ sK28)) => (sK13 @ Y0))))) | ~spl0_51), 3.53/0.87 inference(beta_eta_normalization,[],[f2915])). 3.53/0.87 thf(f2915,plain,( 3.53/0.87 (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK13 @ Y0)) => (sK13 @ Y1))))) @ sK28) = $false) | ~spl0_51), 3.53/0.87 inference(sigma_clausification,[],[f2897])). 3.53/0.87 thf(f5605,plain,( 3.53/0.87 ((sK13 @ sK29) = $true) | (~spl0_5 | ~spl0_51 | ~spl0_79)), 3.53/0.87 inference(boolean_simplification,[],[f5604])). 3.53/0.87 thf(f5604,plain,( 3.53/0.87 ($true = ($true => (sK13 @ sK29))) | (~spl0_5 | ~spl0_51 | ~spl0_79)), 3.53/0.87 inference(forward_demodulation,[],[f5601,f3922])). 3.53/0.87 thf(f3922,plain,( 3.53/0.87 ($true = (sK13 @ sK28)) | ~spl0_51), 3.53/0.87 inference(boolean_simplification,[],[f3921])). 3.53/0.87 thf(f3921,plain,( 3.53/0.87 ($true = ($true & (sK13 @ sK28))) | ~spl0_51), 3.53/0.87 inference(backward_demodulation,[],[f2966,f3920])). 3.53/0.87 thf(f3920,plain,( 3.53/0.87 ($true = ((sK2 @ sK28 @ sK29) | (sK5 @ sK28 @ sK29))) | ~spl0_51), 3.53/0.87 inference(binary_proxy_clausification,[],[f2966])). 3.53/0.87 thf(f2966,plain,( 3.53/0.87 ($true = (((sK2 @ sK28 @ sK29) | (sK5 @ sK28 @ sK29)) & (sK13 @ sK28))) | ~spl0_51), 3.53/0.87 inference(binary_proxy_clausification,[],[f2944])). 3.53/0.87 thf(f5601,plain,( 3.53/0.87 ($true = ((sK13 @ sK28) => (sK13 @ sK29))) | (~spl0_5 | ~spl0_79)), 3.53/0.87 inference(boolean_simplification,[],[f5600])). 3.53/0.87 thf(f5600,plain,( 3.53/0.87 ($true = (((sK13 @ sK28) & $true) => (sK13 @ sK29))) | (~spl0_5 | ~spl0_79)), 3.53/0.87 inference(boolean_simplification,[],[f5598])). 3.53/0.87 thf(f5598,plain,( 3.53/0.87 ($true = (((sK13 @ sK28) & ((sK5 @ sK28 @ sK29) | $true)) => (sK13 @ sK29))) | (~spl0_5 | ~spl0_79)), 3.53/0.87 inference(superposition,[],[f1537,f5591])). 3.53/0.87 thf(f5591,plain,( 3.53/0.87 ($true = (sK2 @ sK28 @ sK29)) | ~spl0_79), 3.53/0.87 inference(avatar_component_clause,[],[f5590])). 3.53/0.87 thf(f5590,plain,( 3.53/0.87 spl0_79 <=> ($true = (sK2 @ sK28 @ sK29))), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_79])])). 3.53/0.87 thf(f5595,plain,( 3.53/0.87 spl0_79 | spl0_80 | ~spl0_51), 3.53/0.87 inference(avatar_split_clause,[],[f5588,f2896,f5593,f5590])). 3.53/0.87 thf(f5588,plain,( 3.53/0.87 ($true = (sK5 @ sK28 @ sK29)) | ($true = (sK2 @ sK28 @ sK29)) | ~spl0_51), 3.53/0.87 inference(binary_proxy_clausification,[],[f3920])). 3.53/0.87 thf(f4719,plain,( 3.53/0.87 ~spl0_5 | ~spl0_8 | ~spl0_19), 3.53/0.87 inference(avatar_contradiction_clause,[],[f4718])). 3.53/0.87 thf(f4718,plain,( 3.53/0.87 $false | (~spl0_5 | ~spl0_8 | ~spl0_19)), 3.53/0.87 inference(trivial_inequality_removal,[],[f4717])). 3.53/0.87 thf(f4717,plain,( 3.53/0.87 ($true = $false) | (~spl0_5 | ~spl0_8 | ~spl0_19)), 3.53/0.87 inference(forward_demodulation,[],[f4716,f4710])). 3.53/0.87 thf(f4710,plain,( 3.53/0.87 ($false = ((sK13 @ sK18) => (sK13 @ sK19))) | (~spl0_8 | ~spl0_19)), 3.53/0.87 inference(boolean_simplification,[],[f4709])). 3.53/0.87 thf(f4709,plain,( 3.53/0.87 ($false = (((sK13 @ sK18) & $true) => (sK13 @ sK19))) | (~spl0_8 | ~spl0_19)), 3.53/0.87 inference(boolean_simplification,[],[f4708])). 3.53/0.87 thf(f4708,plain,( 3.53/0.87 ($false = (((sK13 @ sK18) & ($true | (sK5 @ sK18 @ sK19))) => (sK13 @ sK19))) | (~spl0_8 | ~spl0_19)), 3.53/0.87 inference(backward_demodulation,[],[f4701,f1148])). 3.53/0.87 thf(f1148,plain,( 3.53/0.87 ((sK2 @ sK18 @ sK19) = $true) | ~spl0_19), 3.53/0.87 inference(avatar_component_clause,[],[f1147])). 3.53/0.87 thf(f1147,plain,( 3.53/0.87 spl0_19 <=> ((sK2 @ sK18 @ sK19) = $true)), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_19])])). 3.53/0.87 thf(f4701,plain,( 3.53/0.87 ($false = (((sK13 @ sK18) & ((sK2 @ sK18 @ sK19) | (sK5 @ sK18 @ sK19))) => (sK13 @ sK19))) | ~spl0_8), 3.53/0.87 inference(beta_eta_normalization,[],[f4700])). 3.53/0.87 thf(f4700,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (((sK13 @ sK18) & ((sK2 @ sK18 @ Y0) | (sK5 @ sK18 @ Y0))) => (sK13 @ Y0))) @ sK19)) | ~spl0_8), 3.53/0.87 inference(sigma_clausification,[],[f4679])). 3.53/0.87 thf(f4679,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (((sK13 @ sK18) & ((sK2 @ sK18 @ Y0) | (sK5 @ sK18 @ Y0))) => (sK13 @ Y0))))) | ~spl0_8), 3.53/0.87 inference(beta_eta_normalization,[],[f4674])). 3.53/0.87 thf(f4674,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK13 @ Y0) & ((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (sK13 @ Y1))))) @ sK18)) | ~spl0_8), 3.53/0.87 inference(sigma_clausification,[],[f393])). 3.53/0.87 thf(f393,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK13 @ Y0) & ((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (sK13 @ Y1))))))) | ~spl0_8), 3.53/0.87 inference(avatar_component_clause,[],[f392])). 3.53/0.87 thf(f392,plain,( 3.53/0.87 spl0_8 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK13 @ Y0) & ((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (sK13 @ Y1)))))))), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 3.53/0.87 thf(f4716,plain,( 3.53/0.87 ($true = ((sK13 @ sK18) => (sK13 @ sK19))) | (~spl0_5 | ~spl0_19)), 3.53/0.87 inference(boolean_simplification,[],[f4715])). 3.53/0.87 thf(f4715,plain,( 3.53/0.87 ($true = (((sK13 @ sK18) & $true) => (sK13 @ sK19))) | (~spl0_5 | ~spl0_19)), 3.53/0.87 inference(boolean_simplification,[],[f4711])). 3.53/0.87 thf(f4711,plain,( 3.53/0.87 ((((sK13 @ sK18) & ((sK5 @ sK18 @ sK19) | $true)) => (sK13 @ sK19)) = $true) | (~spl0_5 | ~spl0_19)), 3.53/0.87 inference(superposition,[],[f1537,f1148])). 3.53/0.87 thf(f4707,plain,( 3.53/0.87 ~spl0_5 | ~spl0_8 | ~spl0_18), 3.53/0.87 inference(avatar_contradiction_clause,[],[f4706])). 3.53/0.87 thf(f4706,plain,( 3.53/0.87 $false | (~spl0_5 | ~spl0_8 | ~spl0_18)), 3.53/0.87 inference(trivial_inequality_removal,[],[f4705])). 3.53/0.87 thf(f4705,plain,( 3.53/0.87 ($true = $false) | (~spl0_5 | ~spl0_8 | ~spl0_18)), 3.53/0.87 inference(backward_demodulation,[],[f4671,f4704])). 3.53/0.87 thf(f4704,plain,( 3.53/0.87 ($false = ((sK13 @ sK18) => (sK13 @ sK19))) | (~spl0_8 | ~spl0_18)), 3.53/0.87 inference(boolean_simplification,[],[f4703])). 3.53/0.87 thf(f4703,plain,( 3.53/0.87 ($false = (((sK13 @ sK18) & $true) => (sK13 @ sK19))) | (~spl0_8 | ~spl0_18)), 3.53/0.87 inference(boolean_simplification,[],[f4702])). 3.53/0.87 thf(f4702,plain,( 3.53/0.87 ($false = (((sK13 @ sK18) & ((sK2 @ sK18 @ sK19) | $true)) => (sK13 @ sK19))) | (~spl0_8 | ~spl0_18)), 3.53/0.87 inference(forward_demodulation,[],[f4701,f1145])). 3.53/0.87 thf(f1145,plain,( 3.53/0.87 ($true = (sK5 @ sK18 @ sK19)) | ~spl0_18), 3.53/0.87 inference(avatar_component_clause,[],[f1144])). 3.53/0.87 thf(f1144,plain,( 3.53/0.87 spl0_18 <=> ($true = (sK5 @ sK18 @ sK19))), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])). 3.53/0.87 thf(f4671,plain,( 3.53/0.87 ($true = ((sK13 @ sK18) => (sK13 @ sK19))) | (~spl0_5 | ~spl0_18)), 3.53/0.87 inference(boolean_simplification,[],[f4670])). 3.53/0.87 thf(f4670,plain,( 3.53/0.87 ($true = (((sK13 @ sK18) & $true) => (sK13 @ sK19))) | (~spl0_5 | ~spl0_18)), 3.53/0.87 inference(boolean_simplification,[],[f4668])). 3.53/0.87 thf(f4668,plain,( 3.53/0.87 ((((sK13 @ sK18) & ($true | (sK2 @ sK18 @ sK19))) => (sK13 @ sK19)) = $true) | (~spl0_5 | ~spl0_18)), 3.53/0.87 inference(superposition,[],[f1537,f1145])). 3.53/0.87 thf(f2898,plain,( 3.53/0.87 spl0_50 | spl0_51 | ~spl0_5 | ~spl0_17 | ~spl0_28), 3.53/0.87 inference(avatar_split_clause,[],[f2887,f1404,f898,f202,f2896,f2893])). 3.53/0.87 thf(f1404,plain,( 3.53/0.87 spl0_28 <=> ($true = (sK5 @ sK11 @ sK21))), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_28])])). 3.53/0.87 thf(f2887,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK2 @ sK9 @ Y0)) => (sK13 @ Y0))))) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK13 @ Y0)) => (sK13 @ Y1)))))) = $false) | (~spl0_5 | ~spl0_17 | ~spl0_28)), 3.53/0.87 inference(binary_proxy_clausification,[],[f2817])). 3.53/0.87 thf(f2817,plain,( 3.53/0.87 ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK13 @ Y0)) => (sK13 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK2 @ sK9 @ Y0)) => (sK13 @ Y0)))))) | (~spl0_5 | ~spl0_17 | ~spl0_28)), 3.53/0.87 inference(not_proxy_clausification,[],[f1633])). 3.53/0.87 thf(f1633,plain,( 3.53/0.87 ((~ ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK13 @ Y0)) => (sK13 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK2 @ sK9 @ Y0)) => (sK13 @ Y0)))))) = $true) | (~spl0_5 | ~spl0_17 | ~spl0_28)), 3.53/0.87 inference(boolean_simplification,[],[f1632])). 3.53/0.87 thf(f1632,plain,( 3.53/0.87 ($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK13 @ Y0)) => (sK13 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK9 @ Y0) | (sK2 @ sK9 @ Y0)) => (sK13 @ Y0))))) => $false)) | (~spl0_5 | ~spl0_17 | ~spl0_28)), 3.53/0.87 inference(superposition,[],[f1623,f1619])). 3.53/0.87 thf(f1619,plain,( 3.53/0.87 ($false = (sK13 @ sK11)) | (~spl0_5 | ~spl0_17 | ~spl0_28)), 3.53/0.87 inference(not_proxy_clausification,[],[f1586])). 3.53/0.87 thf(f1586,plain,( 3.53/0.87 ($true = (~ (sK13 @ sK11))) | (~spl0_5 | ~spl0_17 | ~spl0_28)), 3.53/0.87 inference(boolean_simplification,[],[f1585])). 3.53/0.87 thf(f1585,plain,( 3.53/0.87 ($true = ((sK13 @ sK11) => $false)) | (~spl0_5 | ~spl0_17 | ~spl0_28)), 3.53/0.87 inference(forward_demodulation,[],[f1584,f1379])). 3.53/0.87 thf(f1379,plain,( 3.53/0.87 ($false = (sK13 @ sK21)) | ~spl0_17), 3.53/0.87 inference(binary_proxy_clausification,[],[f1250])). 3.53/0.87 thf(f1250,plain,( 3.53/0.87 ($false = (((sK5 @ sK11 @ sK21) | (sK2 @ sK11 @ sK21)) => (sK13 @ sK21))) | ~spl0_17), 3.53/0.87 inference(beta_eta_normalization,[],[f1249])). 3.53/0.87 thf(f1249,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (((sK5 @ sK11 @ Y0) | (sK2 @ sK11 @ Y0)) => (sK13 @ Y0))) @ sK21)) | ~spl0_17), 3.53/0.87 inference(sigma_clausification,[],[f899])). 3.53/0.87 thf(f1584,plain,( 3.53/0.87 ($true = ((sK13 @ sK11) => (sK13 @ sK21))) | (~spl0_5 | ~spl0_28)), 3.53/0.87 inference(boolean_simplification,[],[f1583])). 3.53/0.87 thf(f1583,plain,( 3.53/0.87 ($true = (((sK13 @ sK11) & $true) => (sK13 @ sK21))) | (~spl0_5 | ~spl0_28)), 3.53/0.87 inference(boolean_simplification,[],[f1554])). 3.53/0.87 thf(f1554,plain,( 3.53/0.87 ($true = (((sK13 @ sK11) & ($true | (sK2 @ sK11 @ sK21))) => (sK13 @ sK21))) | (~spl0_5 | ~spl0_28)), 3.53/0.87 inference(superposition,[],[f1537,f1405])). 3.53/0.87 thf(f1405,plain,( 3.53/0.87 ($true = (sK5 @ sK11 @ sK21)) | ~spl0_28), 3.53/0.87 inference(avatar_component_clause,[],[f1404])). 3.53/0.87 thf(f1409,plain,( 3.53/0.87 spl0_28 | spl0_29 | ~spl0_17), 3.53/0.87 inference(avatar_split_clause,[],[f1400,f898,f1407,f1404])). 3.53/0.87 thf(f1400,plain,( 3.53/0.87 ($true = (sK2 @ sK11 @ sK21)) | ($true = (sK5 @ sK11 @ sK21)) | ~spl0_17), 3.53/0.87 inference(binary_proxy_clausification,[],[f1380])). 3.53/0.87 thf(f1380,plain,( 3.53/0.87 ($true = ((sK5 @ sK11 @ sK21) | (sK2 @ sK11 @ sK21))) | ~spl0_17), 3.53/0.87 inference(binary_proxy_clausification,[],[f1250])). 3.53/0.87 thf(f1149,plain,( 3.53/0.87 spl0_18 | spl0_19 | ~spl0_8), 3.53/0.87 inference(avatar_split_clause,[],[f1142,f392,f1147,f1144])). 3.53/0.87 thf(f1142,plain,( 3.53/0.87 ($true = (sK5 @ sK18 @ sK19)) | ((sK2 @ sK18 @ sK19) = $true) | ~spl0_8), 3.53/0.87 inference(binary_proxy_clausification,[],[f1095])). 3.53/0.87 thf(f1095,plain,( 3.53/0.87 ($true = ((sK2 @ sK18 @ sK19) | (sK5 @ sK18 @ sK19))) | ~spl0_8), 3.53/0.87 inference(binary_proxy_clausification,[],[f1046])). 3.53/0.87 thf(f1046,plain,( 3.53/0.87 ($true = ((sK13 @ sK18) & ((sK2 @ sK18 @ sK19) | (sK5 @ sK18 @ sK19)))) | ~spl0_8), 3.53/0.87 inference(binary_proxy_clausification,[],[f1024])). 3.53/0.87 thf(f1024,plain,( 3.53/0.87 ($false = (((sK13 @ sK18) & ((sK2 @ sK18 @ sK19) | (sK5 @ sK18 @ sK19))) => (sK13 @ sK19))) | ~spl0_8), 3.53/0.87 inference(beta_eta_normalization,[],[f1023])). 3.53/0.87 thf(f1023,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (((sK13 @ sK18) & ((sK2 @ sK18 @ Y0) | (sK5 @ sK18 @ Y0))) => (sK13 @ Y0))) @ sK19)) | ~spl0_8), 3.53/0.87 inference(sigma_clausification,[],[f997])). 3.53/0.87 thf(f997,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (((sK13 @ sK18) & ((sK2 @ sK18 @ Y0) | (sK5 @ sK18 @ Y0))) => (sK13 @ Y0))))) | ~spl0_8), 3.53/0.87 inference(beta_eta_normalization,[],[f993])). 3.53/0.87 thf(f993,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK13 @ Y0) & ((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (sK13 @ Y1))))) @ sK18)) | ~spl0_8), 3.53/0.87 inference(sigma_clausification,[],[f393])). 3.53/0.87 thf(f900,plain,( 3.53/0.87 spl0_17 | spl0_8 | ~spl0_5), 3.53/0.87 inference(avatar_split_clause,[],[f894,f202,f392,f898])). 3.53/0.87 thf(f894,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (((sK5 @ sK11 @ Y0) | (sK2 @ sK11 @ Y0)) => (sK13 @ Y0))))) | ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK13 @ Y0) & ((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (sK13 @ Y1))))))) | ~spl0_5), 3.53/0.87 inference(binary_proxy_clausification,[],[f882])). 3.53/0.87 thf(f882,plain,( 3.53/0.87 ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK13 @ Y0) & ((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (sK13 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK11 @ Y0) | (sK2 @ sK11 @ Y0)) => (sK13 @ Y0)))))) | ~spl0_5), 3.53/0.87 inference(not_proxy_clausification,[],[f796])). 3.53/0.87 thf(f796,plain,( 3.53/0.87 ($true = (~ ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK13 @ Y0) & ((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (sK13 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK11 @ Y0) | (sK2 @ sK11 @ Y0)) => (sK13 @ Y0))))))) | ~spl0_5), 3.53/0.87 inference(boolean_simplification,[],[f795])). 3.53/0.87 thf(f795,plain,( 3.53/0.87 ($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK13 @ Y0) & ((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (sK13 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK11 @ Y0) | (sK2 @ sK11 @ Y0)) => (sK13 @ Y0))))) => $false)) | ~spl0_5), 3.53/0.87 inference(superposition,[],[f787,f753])). 3.53/0.87 thf(f753,plain,( 3.53/0.87 ($false = (sK13 @ sK10)) | ~spl0_5), 3.53/0.87 inference(boolean_simplification,[],[f752])). 3.53/0.87 thf(f752,plain,( 3.53/0.87 ($false = ($true => (sK13 @ sK10))) | ~spl0_5), 3.53/0.87 inference(backward_demodulation,[],[f749,f751])). 3.53/0.87 thf(f751,plain,( 3.53/0.87 ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK13 @ Y1) & ((sK5 @ Y1 @ Y0) | (sK2 @ Y1 @ Y0))) => (sK13 @ Y0)))))) & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK9 @ Y0) | (sK5 @ sK9 @ Y0)) => (sK13 @ Y0)))))) | ~spl0_5), 3.53/0.87 inference(binary_proxy_clausification,[],[f749])). 3.53/0.87 thf(f749,plain,( 3.53/0.87 ($false = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK13 @ Y1) & ((sK5 @ Y1 @ Y0) | (sK2 @ Y1 @ Y0))) => (sK13 @ Y0)))))) & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK9 @ Y0) | (sK5 @ sK9 @ Y0)) => (sK13 @ Y0))))) => (sK13 @ sK10))) | ~spl0_5), 3.53/0.87 inference(beta_eta_normalization,[],[f748])). 3.53/0.87 thf(f748,plain,( 3.53/0.87 ($false = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & ((sK5 @ Y2 @ Y1) | (sK2 @ Y2 @ Y1))) => (Y0 @ Y1)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK9 @ Y1) | (sK5 @ sK9 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10))) @ sK13)) | ~spl0_5), 3.53/0.87 inference(sigma_clausification,[],[f654])). 3.53/0.87 thf(f654,plain,( 3.53/0.87 ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & ((sK5 @ Y2 @ Y1) | (sK2 @ Y2 @ Y1))) => (Y0 @ Y1)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK9 @ Y1) | (sK5 @ sK9 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10))))) | ~spl0_5), 3.53/0.87 inference(binary_proxy_clausification,[],[f644])). 3.53/0.87 thf(f644,plain,( 3.53/0.87 ($false = (((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK11 @ Y1) | (sK2 @ sK11 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10)))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK9 @ Y1) | (sK2 @ sK9 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK11))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & ((sK5 @ Y2 @ Y1) | (sK2 @ Y2 @ Y1))) => (Y0 @ Y1)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK9 @ Y1) | (sK5 @ sK9 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10)))))) | ~spl0_5), 3.53/0.87 inference(beta_eta_normalization,[],[f643])). 3.53/0.87 thf(f643,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & ((sK2 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3))) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ Y0 @ Y2) | (sK2 @ Y0 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK10)))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK2 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ sK9 @ Y2) | (sK2 @ sK9 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & ((sK5 @ Y3 @ Y2) | (sK2 @ Y3 @ Y2))) => (Y1 @ Y2)))))) & (!! @ a @ (^[Y2 : a]: (((sK2 @ sK9 @ Y2) | (sK5 @ sK9 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK10)))))) @ sK11)) | ~spl0_5), 3.53/0.87 inference(sigma_clausification,[],[f637])). 3.53/0.87 thf(f637,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & ((sK2 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3))) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ Y0 @ Y2) | (sK2 @ Y0 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK10)))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK2 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ sK9 @ Y2) | (sK2 @ sK9 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & ((sK5 @ Y3 @ Y2) | (sK2 @ Y3 @ Y2))) => (Y1 @ Y2)))))) & (!! @ a @ (^[Y2 : a]: (((sK2 @ sK9 @ Y2) | (sK5 @ sK9 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK10)))))))) | ~spl0_5), 3.53/0.87 inference(beta_eta_normalization,[],[f636])). 3.53/0.87 thf(f636,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & ((sK2 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4))) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y1 @ Y3) | (sK2 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0)))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK2 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ sK9 @ Y3) | (sK2 @ sK9 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & ((sK5 @ Y4 @ Y3) | (sK2 @ Y4 @ Y3))) => (Y2 @ Y3)))))) & (!! @ a @ (^[Y3 : a]: (((sK2 @ sK9 @ Y3) | (sK5 @ sK9 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0)))))))) @ sK10)) | ~spl0_5), 3.53/0.87 inference(sigma_clausification,[],[f630])). 3.53/0.87 thf(f630,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & ((sK2 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4))) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y1 @ Y3) | (sK2 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0)))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK2 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ sK9 @ Y3) | (sK2 @ sK9 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & ((sK5 @ Y4 @ Y3) | (sK2 @ Y4 @ Y3))) => (Y2 @ Y3)))))) & (!! @ a @ (^[Y3 : a]: (((sK2 @ sK9 @ Y3) | (sK5 @ sK9 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0)))))))))) | ~spl0_5), 3.53/0.87 inference(beta_eta_normalization,[],[f629])). 3.53/0.87 thf(f629,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y2 @ Y4) | (sK2 @ Y2 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & ((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4))) => (Y3 @ Y4)))))) & (!! @ a @ (^[Y4 : a]: (((sK2 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1)))))))))) @ sK9)) | ~spl0_5), 3.53/0.87 inference(sigma_clausification,[],[f203])). 3.53/0.87 thf(f787,plain,( 3.53/0.87 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((X1 @ Y0) & ((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (X1 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK11 @ Y0) | (sK2 @ sK11 @ Y0)) => (X1 @ Y0))))) => (X1 @ sK10)))) ) | ~spl0_5), 3.53/0.87 inference(beta_eta_normalization,[],[f786])). 3.53/0.87 thf(f786,plain,( 3.53/0.87 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK11 @ Y1) | (sK2 @ sK11 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10))) @ X1))) ) | ~spl0_5), 3.53/0.87 inference(pi_clausification,[],[f782])). 3.53/0.87 thf(f782,plain,( 3.53/0.87 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK11 @ Y1) | (sK2 @ sK11 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10))))) | ~spl0_5), 3.53/0.87 inference(boolean_simplification,[],[f781])). 3.53/0.87 thf(f781,plain,( 3.53/0.87 ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK11 @ Y1) | (sK2 @ sK11 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10)))) & $true)) | ~spl0_5), 3.53/0.87 inference(backward_demodulation,[],[f655,f779])). 3.53/0.87 thf(f779,plain,( 3.53/0.87 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK9 @ Y1) | (sK2 @ sK9 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK11))))) | ~spl0_5), 3.53/0.87 inference(binary_proxy_clausification,[],[f655])). 3.53/0.87 thf(f655,plain,( 3.53/0.87 ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK11 @ Y1) | (sK2 @ sK11 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10)))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK9 @ Y1) | (sK2 @ sK9 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK11)))))) | ~spl0_5), 3.53/0.87 inference(binary_proxy_clausification,[],[f644])). 3.53/0.87 thf(f617,plain,( 3.53/0.87 spl0_15 | spl0_16 | ~spl0_6 | ~spl0_9), 3.53/0.87 inference(avatar_split_clause,[],[f608,f419,f205,f615,f612])). 3.53/0.87 thf(f608,plain,( 3.53/0.87 ((!! @ a @ (^[Y0 : a]: ((sK5 @ sK14 @ Y0) => (sK16 @ Y0)))) = $false) | ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y0 @ Y1) & (sK16 @ Y0)) => (sK16 @ Y1))))))) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(binary_proxy_clausification,[],[f602])). 3.53/0.87 thf(f602,plain,( 3.53/0.87 ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y0 @ Y1) & (sK16 @ Y0)) => (sK16 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: ((sK5 @ sK14 @ Y0) => (sK16 @ Y0)))))) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(not_proxy_clausification,[],[f497])). 3.53/0.87 thf(f497,plain,( 3.53/0.87 ($true = (~ ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y0 @ Y1) & (sK16 @ Y0)) => (sK16 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: ((sK5 @ sK14 @ Y0) => (sK16 @ Y0))))))) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(boolean_simplification,[],[f496])). 3.53/0.87 thf(f496,plain,( 3.53/0.87 ($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y0 @ Y1) & (sK16 @ Y0)) => (sK16 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: ((sK5 @ sK14 @ Y0) => (sK16 @ Y0))))) => $false)) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(superposition,[],[f486,f490])). 3.53/0.87 thf(f490,plain,( 3.53/0.87 ($false = (sK16 @ sK15)) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(binary_proxy_clausification,[],[f488])). 3.53/0.87 thf(f488,plain,( 3.53/0.87 ($false = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1)) & (sK16 @ Y0)) => (sK16 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK14 @ Y0) | (sK2 @ sK14 @ Y0)) => (sK16 @ Y0))))) => (sK16 @ sK15))) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(beta_eta_normalization,[],[f487])). 3.53/0.87 thf(f487,plain,( 3.53/0.87 ($false = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK14 @ Y1) | (sK2 @ sK14 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))) @ sK16)) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(sigma_clausification,[],[f484])). 3.53/0.87 thf(f484,plain,( 3.53/0.87 ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK14 @ Y1) | (sK2 @ sK14 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))))) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(boolean_simplification,[],[f483])). 3.53/0.87 thf(f483,plain,( 3.53/0.87 ($false = ($true => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK14 @ Y1) | (sK2 @ sK14 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15)))))) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(boolean_simplification,[],[f482])). 3.53/0.87 thf(f482,plain,( 3.53/0.87 ($false = (((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK15)))) | $true) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK14 @ Y1) | (sK2 @ sK14 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15)))))) | (~spl0_6 | ~spl0_9)), 3.53/0.87 inference(forward_demodulation,[],[f481,f420])). 3.53/0.87 thf(f481,plain,( 3.53/0.87 ($false = (((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK15)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK5 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK14 @ Y1) | (sK2 @ sK14 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15)))))) | ~spl0_6), 3.53/0.87 inference(beta_eta_normalization,[],[f480])). 3.53/0.87 thf(f480,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK14 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: ((sK5 @ sK14 @ Y2) => (Y1 @ Y2))))) => (Y1 @ Y0))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK5 @ Y2 @ Y3) | (sK2 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ sK14 @ Y2) | (sK2 @ sK14 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0)))))) @ sK15)) | ~spl0_6), 3.53/0.87 inference(sigma_clausification,[],[f477])). 3.53/0.87 thf(f477,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK14 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: ((sK5 @ sK14 @ Y2) => (Y1 @ Y2))))) => (Y1 @ Y0))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK5 @ Y2 @ Y3) | (sK2 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ sK14 @ Y2) | (sK2 @ sK14 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0)))))))) | ~spl0_6), 3.53/0.87 inference(beta_eta_normalization,[],[f476])). 3.53/0.87 thf(f476,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y0 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK5 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK2 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y0 @ Y3) | (sK2 @ Y0 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1)))))))) @ sK14)) | ~spl0_6), 3.53/0.87 inference(sigma_clausification,[],[f206])). 3.53/0.87 thf(f486,plain,( 3.53/0.87 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y0 @ Y1) & (X1 @ Y0)) => (X1 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: ((sK5 @ sK14 @ Y0) => (X1 @ Y0))))) => (X1 @ sK15)))) ) | ~spl0_9), 3.53/0.87 inference(beta_eta_normalization,[],[f485])). 3.53/0.87 thf(f485,plain,( 3.53/0.87 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK5 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15))) @ X1))) ) | ~spl0_9), 3.53/0.87 inference(pi_clausification,[],[f420])). 3.53/0.87 thf(f424,plain,( 3.53/0.87 spl0_9 | spl0_10 | ~spl0_6), 3.53/0.87 inference(avatar_split_clause,[],[f417,f205,f422,f419])). 3.53/0.87 thf(f417,plain,( 3.53/0.87 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK5 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15))))) | ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK15))))) | ~spl0_6), 3.53/0.87 inference(binary_proxy_clausification,[],[f402])). 3.53/0.87 thf(f402,plain,( 3.53/0.87 ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK15)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK5 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15)))))) | ~spl0_6), 3.53/0.87 inference(binary_proxy_clausification,[],[f400])). 3.53/0.87 thf(f400,plain,( 3.53/0.87 ($false = (((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK14 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK15)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y1 @ Y2) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: ((sK5 @ sK14 @ Y1) => (Y0 @ Y1))))) => (Y0 @ sK15))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK14 @ Y1) | (sK2 @ sK14 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15)))))) | ~spl0_6), 3.53/0.87 inference(beta_eta_normalization,[],[f399])). 3.53/0.87 thf(f399,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK14 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: ((sK5 @ sK14 @ Y2) => (Y1 @ Y2))))) => (Y1 @ Y0))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK5 @ Y2 @ Y3) | (sK2 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ sK14 @ Y2) | (sK2 @ sK14 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0)))))) @ sK15)) | ~spl0_6), 3.53/0.87 inference(sigma_clausification,[],[f398])). 3.53/0.87 thf(f398,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ sK14 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ Y2)) => (Y1 @ Y2))))))) => (Y1 @ Y0)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y2 @ Y3) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: ((sK5 @ sK14 @ Y2) => (Y1 @ Y2))))) => (Y1 @ Y0))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK5 @ Y2 @ Y3) | (sK2 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ sK14 @ Y2) | (sK2 @ sK14 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0)))))))) | ~spl0_6), 3.53/0.87 inference(beta_eta_normalization,[],[f397])). 3.53/0.87 thf(f397,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y0 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK5 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK2 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y0 @ Y3) | (sK2 @ Y0 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1)))))))) @ sK14)) | ~spl0_6), 3.53/0.87 inference(sigma_clausification,[],[f206])). 3.53/0.87 thf(f207,plain,( 3.53/0.87 spl0_5 | spl0_6 | ~spl0_1), 3.53/0.87 inference(avatar_split_clause,[],[f200,f34,f205,f202])). 3.53/0.87 thf(f34,plain,( 3.53/0.87 spl0_1 <=> ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y0 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK5 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK2 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y0 @ Y3) | (sK2 @ Y0 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1))))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y2 @ Y4) | (sK2 @ Y2 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & ((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4))) => (Y3 @ Y4)))))) & (!! @ a @ (^[Y4 : a]: (((sK2 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1)))))))))))))), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 3.53/0.87 thf(f200,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y0 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK5 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK2 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y0 @ Y3) | (sK2 @ Y0 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1)))))))))) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y2 @ Y4) | (sK2 @ Y2 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & ((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4))) => (Y3 @ Y4)))))) & (!! @ a @ (^[Y4 : a]: (((sK2 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))))))))) = $false) | ~spl0_1), 3.53/0.87 inference(binary_proxy_clausification,[],[f35])). 3.53/0.87 thf(f35,plain,( 3.53/0.87 ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y0 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK5 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK2 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y0 @ Y3) | (sK2 @ Y0 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1))))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y2 @ Y4) | (sK2 @ Y2 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & ((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4))) => (Y3 @ Y4)))))) & (!! @ a @ (^[Y4 : a]: (((sK2 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))))))))))) | ~spl0_1), 3.53/0.87 inference(avatar_component_clause,[],[f34])). 3.53/0.87 thf(f197,plain,( 3.53/0.87 ~spl0_2), 3.53/0.87 inference(avatar_contradiction_clause,[],[f196])). 3.53/0.87 thf(f196,plain,( 3.53/0.87 $false | ~spl0_2), 3.53/0.87 inference(trivial_inequality_removal,[],[f195])). 3.53/0.87 thf(f195,plain,( 3.53/0.87 ($true = $false) | ~spl0_2), 3.53/0.87 inference(forward_demodulation,[],[f194,f135])). 3.53/0.87 thf(f135,plain,( 3.53/0.87 ($false = (sK6 @ sK8)) | ~spl0_2), 3.53/0.87 inference(binary_proxy_clausification,[],[f134])). 3.53/0.87 thf(f134,plain,( 3.53/0.87 ($false = (((sK6 @ sK7) & ((sK5 @ sK7 @ sK8) | (sK2 @ sK7 @ sK8))) => (sK6 @ sK8))) | ~spl0_2), 3.53/0.87 inference(beta_eta_normalization,[],[f133])). 3.53/0.87 thf(f133,plain,( 3.53/0.87 (((^[Y0 : a]: (((sK6 @ sK7) & ((sK5 @ sK7 @ Y0) | (sK2 @ sK7 @ Y0))) => (sK6 @ Y0))) @ sK8) = $false) | ~spl0_2), 3.53/0.87 inference(sigma_clausification,[],[f132])). 3.53/0.87 thf(f132,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (((sK6 @ sK7) & ((sK5 @ sK7 @ Y0) | (sK2 @ sK7 @ Y0))) => (sK6 @ Y0))))) | ~spl0_2), 3.53/0.87 inference(beta_eta_normalization,[],[f128])). 3.53/0.87 thf(f128,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & ((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1))) => (sK6 @ Y1))))) @ sK7)) | ~spl0_2), 3.53/0.87 inference(sigma_clausification,[],[f125])). 3.53/0.87 thf(f125,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & ((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1))) => (sK6 @ Y1))))))) | ~spl0_2), 3.53/0.87 inference(not_proxy_clausification,[],[f52])). 3.53/0.87 thf(f52,plain,( 3.53/0.87 ($true = (~ (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & ((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1))) => (sK6 @ Y1)))))))) | ~spl0_2), 3.53/0.87 inference(boolean_simplification,[],[f51])). 3.53/0.87 thf(f51,plain,( 3.53/0.87 ($true = (~ ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & ((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1))) => (sK6 @ Y1)))))) & $true))) | ~spl0_2), 3.53/0.87 inference(forward_demodulation,[],[f50,f45])). 3.53/0.87 thf(f45,plain,( 3.53/0.87 ($true = (!! @ a @ (^[Y0 : a]: (((sK5 @ sK3 @ Y0) | (sK2 @ sK3 @ Y0)) => (sK6 @ Y0)))))), 3.53/0.87 inference(binary_proxy_clausification,[],[f27])). 3.53/0.87 thf(f27,plain,( 3.53/0.87 ($true = ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK3 @ Y0) | (sK2 @ sK3 @ Y0)) => (sK6 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y1 @ Y0) | (sK2 @ Y1 @ Y0)) & (sK6 @ Y1)) => (sK6 @ Y0))))))))), 3.53/0.87 inference(binary_proxy_clausification,[],[f25])). 3.53/0.87 thf(f25,plain,( 3.53/0.87 ($false = (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK3 @ Y0) | (sK2 @ sK3 @ Y0)) => (sK6 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y1 @ Y0) | (sK2 @ Y1 @ Y0)) & (sK6 @ Y1)) => (sK6 @ Y0))))))) => (sK6 @ sK4)))), 3.53/0.87 inference(beta_eta_normalization,[],[f24])). 3.53/0.87 thf(f24,plain,( 3.53/0.87 ($false = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK3 @ Y1) | (sK2 @ sK3 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y2 @ Y1) | (sK2 @ Y2 @ Y1)) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK4))) @ sK6))), 3.53/0.87 inference(sigma_clausification,[],[f18])). 3.53/0.87 thf(f18,plain,( 3.53/0.87 ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK3 @ Y1) | (sK2 @ sK3 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y2 @ Y1) | (sK2 @ Y2 @ Y1)) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK4)))))), 3.53/0.87 inference(binary_proxy_clausification,[],[f17])). 3.53/0.87 thf(f17,plain,( 3.53/0.87 ($false = ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y0 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK5 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK2 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y0 @ Y3) | (sK2 @ Y0 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1))))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y2 @ Y4) | (sK2 @ Y2 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & ((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4))) => (Y3 @ Y4)))))) & (!! @ a @ (^[Y4 : a]: (((sK2 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1)))))))))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK3 @ Y1) | (sK2 @ sK3 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK4))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK3 @ Y1) | (sK2 @ sK3 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y2 @ Y1) | (sK2 @ Y2 @ Y1)) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK4))))))), 3.53/0.87 inference(beta_eta_normalization,[],[f16])). 3.53/0.87 thf(f16,plain,( 3.53/0.87 ($false = ((^[Y0 : a > a > $o]: ((((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK2 @ Y1 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & (sK2 @ Y5 @ Y4)) => (Y3 @ Y4))))))) => (Y3 @ Y2)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y0 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: ((Y0 @ Y1 @ Y4) => (Y3 @ Y4))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((Y0 @ Y4 @ Y5) | (sK2 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((Y0 @ Y1 @ Y4) | (sK2 @ Y1 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2))))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & ((sK2 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6))) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y0 @ Y3 @ Y5) | (sK2 @ Y3 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y2)))) & (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((sK2 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y0 @ Y1 @ Y5) | (sK2 @ Y1 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y3))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y6) & ((Y0 @ Y6 @ Y5) | (sK2 @ Y6 @ Y5))) => (Y4 @ Y5)))))) & (!! @ a @ (^[Y5 : a]: (((sK2 @ Y1 @ Y5) | (Y0 @ Y1 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y2)))))))))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & ((Y0 @ Y2 @ Y3) | (sK2 @ Y2 @ Y3))) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((Y0 @ sK3 @ Y2) | (sK2 @ sK3 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK4))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((Y0 @ sK3 @ Y2) | (sK2 @ sK3 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((Y0 @ Y3 @ Y2) | (sK2 @ Y3 @ Y2)) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ sK4)))))) @ sK5))), 3.53/0.87 inference(sigma_clausification,[],[f15])). 3.53/0.87 thf(f15,plain,( 3.53/0.87 ($false = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: ((((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK2 @ Y1 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & (sK2 @ Y5 @ Y4)) => (Y3 @ Y4))))))) => (Y3 @ Y2)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y0 @ Y4 @ Y5) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: ((Y0 @ Y1 @ Y4) => (Y3 @ Y4))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((Y0 @ Y4 @ Y5) | (sK2 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((Y0 @ Y1 @ Y4) | (sK2 @ Y1 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2))))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & ((sK2 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6))) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y0 @ Y3 @ Y5) | (sK2 @ Y3 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y2)))) & (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((sK2 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y0 @ Y1 @ Y5) | (sK2 @ Y1 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y3))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y6) & ((Y0 @ Y6 @ Y5) | (sK2 @ Y6 @ Y5))) => (Y4 @ Y5)))))) & (!! @ a @ (^[Y5 : a]: (((sK2 @ Y1 @ Y5) | (Y0 @ Y1 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y2)))))))))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & ((Y0 @ Y2 @ Y3) | (sK2 @ Y2 @ Y3))) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((Y0 @ sK3 @ Y2) | (sK2 @ sK3 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK4))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((Y0 @ sK3 @ Y2) | (sK2 @ sK3 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((Y0 @ Y3 @ Y2) | (sK2 @ Y3 @ Y2)) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ sK4))))))))), 3.53/0.87 inference(beta_eta_normalization,[],[f14])). 3.53/0.87 thf(f14,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: ((((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((sK2 @ Y2 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y6) & (sK2 @ Y6 @ Y5)) => (Y4 @ Y5))))))) => (Y4 @ Y3)))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y1 @ Y5 @ Y6) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: ((Y1 @ Y2 @ Y5) => (Y4 @ Y5))))) => (Y4 @ Y3))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y1 @ Y5 @ Y6) | (sK2 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y1 @ Y2 @ Y5) | (sK2 @ Y2 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y3))))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y6) & ((sK2 @ Y6 @ Y7) | (Y1 @ Y6 @ Y7))) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: (((Y1 @ Y4 @ Y6) | (sK2 @ Y4 @ Y6)) => (Y5 @ Y6))))) => (Y5 @ Y3)))) & (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((((sK2 @ Y6 @ Y7) | (Y1 @ Y6 @ Y7)) & (Y5 @ Y6)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: (((Y1 @ Y2 @ Y6) | (sK2 @ Y2 @ Y6)) => (Y5 @ Y6))))) => (Y5 @ Y4))))) => (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y7) & ((Y1 @ Y7 @ Y6) | (sK2 @ Y7 @ Y6))) => (Y5 @ Y6)))))) & (!! @ a @ (^[Y6 : a]: (((sK2 @ Y2 @ Y6) | (Y1 @ Y2 @ Y6)) => (Y5 @ Y6))))) => (Y5 @ Y3)))))))))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & ((Y1 @ Y3 @ Y4) | (sK2 @ Y3 @ Y4))) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((Y1 @ sK3 @ Y3) | (sK2 @ sK3 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((Y1 @ sK3 @ Y3) | (sK2 @ sK3 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((Y1 @ Y4 @ Y3) | (sK2 @ Y4 @ Y3)) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))))))) @ sK4))), 3.53/0.87 inference(sigma_clausification,[],[f13])). 3.53/0.87 thf(f13,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: ((((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((sK2 @ Y2 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y6) & (sK2 @ Y6 @ Y5)) => (Y4 @ Y5))))))) => (Y4 @ Y3)))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y1 @ Y5 @ Y6) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: ((Y1 @ Y2 @ Y5) => (Y4 @ Y5))))) => (Y4 @ Y3))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y1 @ Y5 @ Y6) | (sK2 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y1 @ Y2 @ Y5) | (sK2 @ Y2 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y3))))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y6) & ((sK2 @ Y6 @ Y7) | (Y1 @ Y6 @ Y7))) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: (((Y1 @ Y4 @ Y6) | (sK2 @ Y4 @ Y6)) => (Y5 @ Y6))))) => (Y5 @ Y3)))) & (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((((sK2 @ Y6 @ Y7) | (Y1 @ Y6 @ Y7)) & (Y5 @ Y6)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: (((Y1 @ Y2 @ Y6) | (sK2 @ Y2 @ Y6)) => (Y5 @ Y6))))) => (Y5 @ Y4))))) => (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y7) & ((Y1 @ Y7 @ Y6) | (sK2 @ Y7 @ Y6))) => (Y5 @ Y6)))))) & (!! @ a @ (^[Y6 : a]: (((sK2 @ Y2 @ Y6) | (Y1 @ Y2 @ Y6)) => (Y5 @ Y6))))) => (Y5 @ Y3)))))))))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & ((Y1 @ Y3 @ Y4) | (sK2 @ Y3 @ Y4))) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((Y1 @ sK3 @ Y3) | (sK2 @ sK3 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((Y1 @ sK3 @ Y3) | (sK2 @ sK3 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((Y1 @ Y4 @ Y3) | (sK2 @ Y4 @ Y3)) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y0))))))))))), 3.53/0.87 inference(beta_eta_normalization,[],[f12])). 3.53/0.87 thf(f12,plain,( 3.53/0.87 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: ((((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((sK2 @ Y3 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y7) & (sK2 @ Y7 @ Y6)) => (Y5 @ Y6))))))) => (Y5 @ Y4)))) | (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y2 @ Y6 @ Y7) & (Y5 @ Y6)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: ((Y2 @ Y3 @ Y6) => (Y5 @ Y6))))) => (Y5 @ Y4))))) => (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((((Y2 @ Y6 @ Y7) | (sK2 @ Y6 @ Y7)) & (Y5 @ Y6)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: (((Y2 @ Y3 @ Y6) | (sK2 @ Y3 @ Y6)) => (Y5 @ Y6))))) => (Y5 @ Y4))))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y7) & ((sK2 @ Y7 @ Y8) | (Y2 @ Y7 @ Y8))) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y2 @ Y5 @ Y7) | (sK2 @ Y5 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y4)))) & (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((sK2 @ Y7 @ Y8) | (Y2 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y2 @ Y3 @ Y7) | (sK2 @ Y3 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y5))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y8) & ((Y2 @ Y8 @ Y7) | (sK2 @ Y8 @ Y7))) => (Y6 @ Y7)))))) & (!! @ a @ (^[Y7 : a]: (((sK2 @ Y3 @ Y7) | (Y2 @ Y3 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y4)))))))))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((Y2 @ Y4 @ Y5) | (sK2 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((Y2 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((Y2 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((Y2 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4)) & (Y3 @ Y5)) => (Y3 @ Y4))))))) => (Y3 @ Y1)))))))))) @ sK3))), 3.53/0.87 inference(sigma_clausification,[],[f11])). 3.53/0.87 thf(f11,plain,( 3.53/0.87 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: ((((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((sK2 @ Y3 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y7) & (sK2 @ Y7 @ Y6)) => (Y5 @ Y6))))))) => (Y5 @ Y4)))) | (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y2 @ Y6 @ Y7) & (Y5 @ Y6)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: ((Y2 @ Y3 @ Y6) => (Y5 @ Y6))))) => (Y5 @ Y4))))) => (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((((Y2 @ Y6 @ Y7) | (sK2 @ Y6 @ Y7)) & (Y5 @ Y6)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: (((Y2 @ Y3 @ Y6) | (sK2 @ Y3 @ Y6)) => (Y5 @ Y6))))) => (Y5 @ Y4))))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y7) & ((sK2 @ Y7 @ Y8) | (Y2 @ Y7 @ Y8))) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y2 @ Y5 @ Y7) | (sK2 @ Y5 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y4)))) & (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((sK2 @ Y7 @ Y8) | (Y2 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y2 @ Y3 @ Y7) | (sK2 @ Y3 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y5))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y8) & ((Y2 @ Y8 @ Y7) | (sK2 @ Y8 @ Y7))) => (Y6 @ Y7)))))) & (!! @ a @ (^[Y7 : a]: (((sK2 @ Y3 @ Y7) | (Y2 @ Y3 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y4)))))))))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((Y2 @ Y4 @ Y5) | (sK2 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((Y2 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((Y2 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((Y2 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4)) & (Y3 @ Y5)) => (Y3 @ Y4))))))) => (Y3 @ Y1))))))))))))), 3.53/0.87 inference(beta_eta_normalization,[],[f10])). 3.53/0.87 thf(f10,plain,( 3.53/0.87 ($false = ((^[Y0 : a > a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: ((((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y0 @ Y4 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y8) & (Y0 @ Y8 @ Y7)) => (Y6 @ Y7))))))) => (Y6 @ Y5)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y3 @ Y7 @ Y8) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: ((Y3 @ Y4 @ Y7) => (Y6 @ Y7))))) => (Y6 @ Y5))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((Y3 @ Y7 @ Y8) | (Y0 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y3 @ Y4 @ Y7) | (Y0 @ Y4 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y5))))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y7 @ Y8) & ((Y0 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9))) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y3 @ Y6 @ Y8) | (Y0 @ Y6 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y5)))) & (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y0 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9)) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y3 @ Y4 @ Y8) | (Y0 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y6))))) => (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y7 @ Y9) & ((Y3 @ Y9 @ Y8) | (Y0 @ Y9 @ Y8))) => (Y7 @ Y8)))))) & (!! @ a @ (^[Y8 : a]: (((Y0 @ Y4 @ Y8) | (Y3 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y5)))))))))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & ((Y3 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6))) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y3 @ Y1 @ Y5) | (Y0 @ Y1 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y2))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y3 @ Y1 @ Y5) | (Y0 @ Y1 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y3 @ Y6 @ Y5) | (Y0 @ Y6 @ Y5)) & (Y4 @ Y6)) => (Y4 @ Y5))))))) => (Y4 @ Y2)))))))))))) @ sK2))), 3.53/0.87 inference(sigma_clausification,[],[f7])). 3.53/0.87 thf(f7,plain,( 3.53/0.87 ($false = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: ((((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y0 @ Y4 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y8) & (Y0 @ Y8 @ Y7)) => (Y6 @ Y7))))))) => (Y6 @ Y5)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y3 @ Y7 @ Y8) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: ((Y3 @ Y4 @ Y7) => (Y6 @ Y7))))) => (Y6 @ Y5))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((Y3 @ Y7 @ Y8) | (Y0 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y3 @ Y4 @ Y7) | (Y0 @ Y4 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y5))))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y7 @ Y8) & ((Y0 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9))) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y3 @ Y6 @ Y8) | (Y0 @ Y6 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y5)))) & (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y0 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9)) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y3 @ Y4 @ Y8) | (Y0 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y6))))) => (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y7 @ Y9) & ((Y3 @ Y9 @ Y8) | (Y0 @ Y9 @ Y8))) => (Y7 @ Y8)))))) & (!! @ a @ (^[Y8 : a]: (((Y0 @ Y4 @ Y8) | (Y3 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y5)))))))))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & ((Y3 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6))) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y3 @ Y1 @ Y5) | (Y0 @ Y1 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y2))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y3 @ Y1 @ Y5) | (Y0 @ Y1 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y3 @ Y6 @ Y5) | (Y0 @ Y6 @ Y5)) & (Y4 @ Y6)) => (Y4 @ Y5))))))) => (Y4 @ Y2))))))))))))))), 3.53/0.87 inference(not_proxy_clausification,[],[f6])). 3.53/0.87 thf(f6,plain,( 3.53/0.87 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: ((((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y0 @ Y4 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y8) & (Y0 @ Y8 @ Y7)) => (Y6 @ Y7))))))) => (Y6 @ Y5)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y3 @ Y7 @ Y8) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: ((Y3 @ Y4 @ Y7) => (Y6 @ Y7))))) => (Y6 @ Y5))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((Y3 @ Y7 @ Y8) | (Y0 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y3 @ Y4 @ Y7) | (Y0 @ Y4 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y5))))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y7 @ Y8) & ((Y0 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9))) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y3 @ Y6 @ Y8) | (Y0 @ Y6 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y5)))) & (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y0 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9)) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y3 @ Y4 @ Y8) | (Y0 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y6))))) => (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y7 @ Y9) & ((Y3 @ Y9 @ Y8) | (Y0 @ Y9 @ Y8))) => (Y7 @ Y8)))))) & (!! @ a @ (^[Y8 : a]: (((Y0 @ Y4 @ Y8) | (Y3 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y5)))))))))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & ((Y3 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6))) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y3 @ Y1 @ Y5) | (Y0 @ Y1 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y2))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y3 @ Y1 @ Y5) | (Y0 @ Y1 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y3 @ Y6 @ Y5) | (Y0 @ Y6 @ Y5)) & (Y4 @ Y6)) => (Y4 @ Y5))))))) => (Y4 @ Y2)))))))))))))))), 3.53/0.87 inference(cnf_transformation,[],[f5])). 3.53/0.87 thf(f5,plain,( 3.53/0.87 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ (a > a > $o) @ (^[Y3 : a > a > $o]: ((((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y0 @ Y4 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y8) & (Y0 @ Y8 @ Y7)) => (Y6 @ Y7))))))) => (Y6 @ Y5)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y3 @ Y7 @ Y8) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: ((Y3 @ Y4 @ Y7) => (Y6 @ Y7))))) => (Y6 @ Y5))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((Y3 @ Y7 @ Y8) | (Y0 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y3 @ Y4 @ Y7) | (Y0 @ Y4 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y5))))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y7 @ Y8) & ((Y0 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9))) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y3 @ Y6 @ Y8) | (Y0 @ Y6 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y5)))) & (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y0 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9)) & (Y7 @ Y8)) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y3 @ Y4 @ Y8) | (Y0 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y6))))) => (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y7 @ Y9) & ((Y3 @ Y9 @ Y8) | (Y0 @ Y9 @ Y8))) => (Y7 @ Y8)))))) & (!! @ a @ (^[Y8 : a]: (((Y0 @ Y4 @ Y8) | (Y3 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y5)))))))))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & ((Y3 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6))) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y3 @ Y1 @ Y5) | (Y0 @ Y1 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y2))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y3 @ Y1 @ Y5) | (Y0 @ Y1 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y3 @ Y6 @ Y5) | (Y0 @ Y6 @ Y5)) & (Y4 @ Y6)) => (Y4 @ Y5))))))) => (Y4 @ Y2)))))))))))))))), 3.53/0.87 inference(fool_elimination,[],[f4])). 3.53/0.87 thf(f4,plain,( 3.53/0.87 ~! [X0 : a > a > $o,X1 : a,X2 : a,X3 : a > a > $o] : (((! [X4 : a,X5 : a,X6 : a] : ((! [X7 : a > $o] : ((! [X8 : a] : (((X3 @ X6 @ X8) | (X0 @ X6 @ X8)) => (X7 @ X8)) & ! [X9 : a,X10 : a] : (((X7 @ X10) & ((X0 @ X10 @ X9) | (X3 @ X10 @ X9))) => (X7 @ X9))) => (X7 @ X4)) & ! [X11 : a > $o] : ((! [X12 : a] : (((X3 @ X4 @ X12) | (X0 @ X4 @ X12)) => (X11 @ X12)) & ! [X13 : a,X14 : a] : ((((X0 @ X14 @ X13) | (X3 @ X14 @ X13)) & (X11 @ X14)) => (X11 @ X13))) => (X11 @ X5))) => ! [X15 : a > $o] : ((! [X16 : a] : (((X0 @ X6 @ X16) | (X3 @ X6 @ X16)) => (X15 @ X16)) & ! [X17 : a,X18 : a] : ((((X3 @ X17 @ X18) | (X0 @ X17 @ X18)) & (X15 @ X17)) => (X15 @ X18))) => (X15 @ X5))) & ! [X19 : a,X20 : a] : ((! [X21 : a > $o] : ((! [X22 : a] : ((X0 @ X20 @ X22) => (X21 @ X22)) & ! [X23 : a,X24 : a] : (((X21 @ X24) & (X0 @ X24 @ X23)) => (X21 @ X23))) => (X21 @ X19)) | ! [X25 : a > $o] : ((! [X26 : a,X27 : a] : (((X3 @ X26 @ X27) & (X25 @ X26)) => (X25 @ X27)) & ! [X28 : a] : ((X3 @ X20 @ X28) => (X25 @ X28))) => (X25 @ X19))) => ! [X29 : a > $o] : ((! [X30 : a] : (((X3 @ X20 @ X30) | (X0 @ X20 @ X30)) => (X29 @ X30)) & ! [X31 : a,X32 : a] : (((X29 @ X32) & ((X3 @ X32 @ X31) | (X0 @ X32 @ X31))) => (X29 @ X31))) => (X29 @ X19)))) => ! [X33 : a > $o] : ((! [X34 : a] : (((X3 @ X2 @ X34) | (X0 @ X2 @ X34)) => (X33 @ X34)) & ! [X35 : a,X36 : a] : ((((X3 @ X36 @ X35) | (X0 @ X36 @ X35)) & (X33 @ X36)) => (X33 @ X35))) => (X33 @ X1))) => ! [X37 : a > $o] : ((! [X38 : a,X39 : a] : (((X37 @ X38) & ((X3 @ X38 @ X39) | (X0 @ X38 @ X39))) => (X37 @ X39)) & ! [X40 : a] : (((X3 @ X2 @ X40) | (X0 @ X2 @ X40)) => (X37 @ X40))) => (X37 @ X1)))), 3.53/0.87 inference(rectify,[],[f2])). 3.53/0.87 thf(f2,negated_conjecture,( 3.53/0.87 ~! [X0 : a > a > $o,X3 : a,X2 : a,X1 : a > a > $o] : (((! [X9 : a,X10 : a,X8 : a] : ((! [X4 : a > $o] : ((! [X7 : a] : (((X1 @ X8 @ X7) | (X0 @ X8 @ X7)) => (X4 @ X7)) & ! [X6 : a,X5 : a] : (((X4 @ X5) & ((X0 @ X5 @ X6) | (X1 @ X5 @ X6))) => (X4 @ X6))) => (X4 @ X9)) & ! [X4 : a > $o] : ((! [X7 : a] : (((X1 @ X9 @ X7) | (X0 @ X9 @ X7)) => (X4 @ X7)) & ! [X6 : a,X5 : a] : ((((X0 @ X5 @ X6) | (X1 @ X5 @ X6)) & (X4 @ X5)) => (X4 @ X6))) => (X4 @ X10))) => ! [X4 : a > $o] : ((! [X7 : a] : (((X0 @ X8 @ X7) | (X1 @ X8 @ X7)) => (X4 @ X7)) & ! [X5 : a,X6 : a] : ((((X1 @ X5 @ X6) | (X0 @ X5 @ X6)) & (X4 @ X5)) => (X4 @ X6))) => (X4 @ X10))) & ! [X9 : a,X8 : a] : ((! [X4 : a > $o] : ((! [X7 : a] : ((X0 @ X8 @ X7) => (X4 @ X7)) & ! [X6 : a,X5 : a] : (((X4 @ X5) & (X0 @ X5 @ X6)) => (X4 @ X6))) => (X4 @ X9)) | ! [X4 : a > $o] : ((! [X5 : a,X6 : a] : (((X1 @ X5 @ X6) & (X4 @ X5)) => (X4 @ X6)) & ! [X7 : a] : ((X1 @ X8 @ X7) => (X4 @ X7))) => (X4 @ X9))) => ! [X4 : a > $o] : ((! [X7 : a] : (((X1 @ X8 @ X7) | (X0 @ X8 @ X7)) => (X4 @ X7)) & ! [X6 : a,X5 : a] : (((X4 @ X5) & ((X1 @ X5 @ X6) | (X0 @ X5 @ X6))) => (X4 @ X6))) => (X4 @ X9)))) => ! [X4 : a > $o] : ((! [X7 : a] : (((X1 @ X2 @ X7) | (X0 @ X2 @ X7)) => (X4 @ X7)) & ! [X6 : a,X5 : a] : ((((X1 @ X5 @ X6) | (X0 @ X5 @ X6)) & (X4 @ X5)) => (X4 @ X6))) => (X4 @ X3))) => ! [X4 : a > $o] : ((! [X5 : a,X6 : a] : (((X4 @ X5) & ((X1 @ X5 @ X6) | (X0 @ X5 @ X6))) => (X4 @ X6)) & ! [X7 : a] : (((X1 @ X2 @ X7) | (X0 @ X2 @ X7)) => (X4 @ X7))) => (X4 @ X3)))), 3.53/0.87 inference(negated_conjecture,[],[f1])). 3.53/0.87 thf(f1,conjecture,( 3.53/0.87 ! [X0 : a > a > $o,X3 : a,X2 : a,X1 : a > a > $o] : (((! [X9 : a,X10 : a,X8 : a] : ((! [X4 : a > $o] : ((! [X7 : a] : (((X1 @ X8 @ X7) | (X0 @ X8 @ X7)) => (X4 @ X7)) & ! [X6 : a,X5 : a] : (((X4 @ X5) & ((X0 @ X5 @ X6) | (X1 @ X5 @ X6))) => (X4 @ X6))) => (X4 @ X9)) & ! [X4 : a > $o] : ((! [X7 : a] : (((X1 @ X9 @ X7) | (X0 @ X9 @ X7)) => (X4 @ X7)) & ! [X6 : a,X5 : a] : ((((X0 @ X5 @ X6) | (X1 @ X5 @ X6)) & (X4 @ X5)) => (X4 @ X6))) => (X4 @ X10))) => ! [X4 : a > $o] : ((! [X7 : a] : (((X0 @ X8 @ X7) | (X1 @ X8 @ X7)) => (X4 @ X7)) & ! [X5 : a,X6 : a] : ((((X1 @ X5 @ X6) | (X0 @ X5 @ X6)) & (X4 @ X5)) => (X4 @ X6))) => (X4 @ X10))) & ! [X9 : a,X8 : a] : ((! [X4 : a > $o] : ((! [X7 : a] : ((X0 @ X8 @ X7) => (X4 @ X7)) & ! [X6 : a,X5 : a] : (((X4 @ X5) & (X0 @ X5 @ X6)) => (X4 @ X6))) => (X4 @ X9)) | ! [X4 : a > $o] : ((! [X5 : a,X6 : a] : (((X1 @ X5 @ X6) & (X4 @ X5)) => (X4 @ X6)) & ! [X7 : a] : ((X1 @ X8 @ X7) => (X4 @ X7))) => (X4 @ X9))) => ! [X4 : a > $o] : ((! [X7 : a] : (((X1 @ X8 @ X7) | (X0 @ X8 @ X7)) => (X4 @ X7)) & ! [X6 : a,X5 : a] : (((X4 @ X5) & ((X1 @ X5 @ X6) | (X0 @ X5 @ X6))) => (X4 @ X6))) => (X4 @ X9)))) => ! [X4 : a > $o] : ((! [X7 : a] : (((X1 @ X2 @ X7) | (X0 @ X2 @ X7)) => (X4 @ X7)) & ! [X6 : a,X5 : a] : ((((X1 @ X5 @ X6) | (X0 @ X5 @ X6)) & (X4 @ X5)) => (X4 @ X6))) => (X4 @ X3))) => ! [X4 : a > $o] : ((! [X5 : a,X6 : a] : (((X4 @ X5) & ((X1 @ X5 @ X6) | (X0 @ X5 @ X6))) => (X4 @ X6)) & ! [X7 : a] : (((X1 @ X2 @ X7) | (X0 @ X2 @ X7)) => (X4 @ X7))) => (X4 @ X3)))), 3.53/0.87 file('/export/starexec/sandbox/tmp/tmp.SulEOfH0lu/Vampire---4.8_21853',cTHM251D_pme)). 3.53/0.87 thf(f50,plain,( 3.53/0.87 ($true = (~ ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & ((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1))) => (sK6 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK3 @ Y0) | (sK2 @ sK3 @ Y0)) => (sK6 @ Y0))))))) | ~spl0_2), 3.53/0.87 inference(boolean_simplification,[],[f49])). 3.53/0.87 thf(f49,plain,( 3.53/0.87 ($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & ((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1))) => (sK6 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK3 @ Y0) | (sK2 @ sK3 @ Y0)) => (sK6 @ Y0))))) => $false)) | ~spl0_2), 3.53/0.87 inference(superposition,[],[f43,f26])). 3.53/0.87 thf(f26,plain,( 3.53/0.87 ($false = (sK6 @ sK4))), 3.53/0.87 inference(binary_proxy_clausification,[],[f25])). 3.53/0.87 thf(f43,plain,( 3.53/0.87 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((X1 @ Y0) & ((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1))) => (X1 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK3 @ Y0) | (sK2 @ sK3 @ Y0)) => (X1 @ Y0))))) => (X1 @ sK4)))) ) | ~spl0_2), 3.53/0.87 inference(beta_eta_normalization,[],[f42])). 3.53/0.87 thf(f42,plain,( 3.53/0.87 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK3 @ Y1) | (sK2 @ sK3 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK4))) @ X1))) ) | ~spl0_2), 3.53/0.87 inference(pi_clausification,[],[f38])). 3.53/0.87 thf(f38,plain,( 3.53/0.87 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK3 @ Y1) | (sK2 @ sK3 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK4))))) | ~spl0_2), 3.53/0.87 inference(avatar_component_clause,[],[f37])). 3.53/0.87 thf(f37,plain,( 3.53/0.87 spl0_2 <=> ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK3 @ Y1) | (sK2 @ sK3 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK4)))))), 3.53/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 3.53/0.87 thf(f194,plain,( 3.53/0.87 ($true = (sK6 @ sK8)) | ~spl0_2), 3.53/0.87 inference(boolean_simplification,[],[f193])). 3.53/0.87 thf(f193,plain,( 3.53/0.87 ($true = ($true => (sK6 @ sK8))) | ~spl0_2), 3.53/0.87 inference(forward_demodulation,[],[f185,f156])). 3.53/0.87 thf(f156,plain,( 3.53/0.87 ($true = (sK6 @ sK7)) | ~spl0_2), 3.53/0.87 inference(boolean_simplification,[],[f155])). 3.53/0.87 thf(f155,plain,( 3.53/0.87 ($true = ((sK6 @ sK7) & $true)) | ~spl0_2), 3.53/0.87 inference(backward_demodulation,[],[f136,f153])). 3.53/0.87 thf(f153,plain,( 3.53/0.87 ($true = ((sK5 @ sK7 @ sK8) | (sK2 @ sK7 @ sK8))) | ~spl0_2), 3.53/0.87 inference(binary_proxy_clausification,[],[f136])). 3.53/0.87 thf(f136,plain,( 3.53/0.87 ($true = ((sK6 @ sK7) & ((sK5 @ sK7 @ sK8) | (sK2 @ sK7 @ sK8)))) | ~spl0_2), 3.53/0.87 inference(binary_proxy_clausification,[],[f134])). 3.53/0.87 thf(f185,plain,( 3.53/0.87 ($true = ((sK6 @ sK7) => (sK6 @ sK8))) | ~spl0_2), 3.53/0.87 inference(boolean_simplification,[],[f184])). 3.53/0.87 thf(f184,plain,( 3.53/0.87 ($true = (($true & (sK6 @ sK7)) => (sK6 @ sK8))) | ~spl0_2), 3.53/0.87 inference(superposition,[],[f65,f153])). 3.53/0.87 thf(f65,plain,( 3.53/0.87 ( ! [X2 : a,X1 : a] : (($true = ((((sK5 @ X2 @ X1) | (sK2 @ X2 @ X1)) & (sK6 @ X2)) => (sK6 @ X1)))) )), 3.53/0.87 inference(beta_eta_normalization,[],[f64])). 3.53/0.87 thf(f64,plain,( 3.53/0.87 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: ((((sK5 @ Y0 @ X1) | (sK2 @ Y0 @ X1)) & (sK6 @ Y0)) => (sK6 @ X1))) @ X2))) )), 3.53/0.87 inference(pi_clausification,[],[f60])). 3.53/0.87 thf(f60,plain,( 3.53/0.87 ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((((sK5 @ Y0 @ X1) | (sK2 @ Y0 @ X1)) & (sK6 @ Y0)) => (sK6 @ X1)))))) )), 3.53/0.87 inference(beta_eta_normalization,[],[f59])). 3.53/0.87 thf(f59,plain,( 3.53/0.87 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y1 @ Y0) | (sK2 @ Y1 @ Y0)) & (sK6 @ Y1)) => (sK6 @ Y0))))) @ X1))) )), 3.53/0.87 inference(pi_clausification,[],[f47])). 3.53/0.87 thf(f47,plain,( 3.53/0.87 ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y1 @ Y0) | (sK2 @ Y1 @ Y0)) & (sK6 @ Y1)) => (sK6 @ Y0)))))))), 3.53/0.87 inference(boolean_simplification,[],[f46])). 3.53/0.87 thf(f46,plain,( 3.53/0.87 ($true = ($true & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y1 @ Y0) | (sK2 @ Y1 @ Y0)) & (sK6 @ Y1)) => (sK6 @ Y0))))))))), 3.53/0.87 inference(backward_demodulation,[],[f27,f45])). 3.53/0.87 thf(f39,plain,( 3.53/0.87 spl0_1 | spl0_2), 3.53/0.87 inference(avatar_split_clause,[],[f32,f37,f34])). 3.53/0.87 thf(f32,plain,( 3.53/0.87 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK3 @ Y1) | (sK2 @ sK3 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK4))))) | ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y0 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK5 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK2 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y0 @ Y3) | (sK2 @ Y0 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1))))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y2 @ Y4) | (sK2 @ Y2 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & ((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4))) => (Y3 @ Y4)))))) & (!! @ a @ (^[Y4 : a]: (((sK2 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1)))))))))))))), 3.53/0.87 inference(binary_proxy_clausification,[],[f19])). 3.53/0.87 thf(f19,plain,( 3.53/0.87 ($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y0 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y1)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y3 @ Y4) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: ((sK5 @ Y0 @ Y3) => (Y2 @ Y3))))) => (Y2 @ Y1))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y3 @ Y4) | (sK2 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ Y0 @ Y3) | (sK2 @ Y0 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1))))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y2 @ Y4) | (sK2 @ Y2 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & ((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4))) => (Y3 @ Y4)))))) & (!! @ a @ (^[Y4 : a]: (((sK2 @ Y0 @ Y4) | (sK5 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1)))))))))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK3 @ Y1) | (sK2 @ sK3 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK4))))))), 3.53/0.87 inference(binary_proxy_clausification,[],[f17])). 3.53/0.87 % SZS output end Proof for Vampire---4 3.53/0.87 % (21979)------------------------------ 3.53/0.87 % (21979)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.53/0.87 % (21979)Termination reason: Refutation 3.53/0.87 3.53/0.87 % (21979)Memory used [KB]: 9083 3.53/0.87 % (21979)Time elapsed: 0.375 s 3.53/0.87 % (21979)Instructions burned: 953 (million) 3.53/0.87 % (21979)------------------------------ 3.53/0.87 % (21979)------------------------------ 3.53/0.87 % (21960)Success in time 0.478 s 3.53/0.87 % Vampire---4.8 exiting 3.53/0.88 EOF