0.07/0.12 % Problem : Vampire---4.8_5965 : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.14/0.34 % Computer : n007.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 1440 0.14/0.34 % WCLimit : 180 0.14/0.34 % DateTime : Mon Jul 3 12:36:58 EDT 2023 0.14/0.34 % CPUTime : 0.14/0.34 This is a THF_ problem 0.14/0.34 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.J1IJHFpnOq/Vampire---4.8_5965 -m 12000 -t 180 0.14/0.36 % (6193)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) 0.14/0.36 % (6189)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.14/0.36 % (6188)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.14/0.36 % (6190)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) 0.14/0.36 % (6191)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) 0.14/0.36 % (6192)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.14/0.36 % (6194)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) 0.14/0.36 % (6195)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) 0.14/0.37 % (6194)Instruction limit reached! 0.14/0.37 % (6194)------------------------------ 0.14/0.37 % (6194)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.37 % (6194)Termination reason: Unknown 0.14/0.37 % (6194)Termination phase: Preprocessing 3 0.14/0.37 0.14/0.37 % (6194)Memory used [KB]: 1023 0.14/0.37 % (6194)Time elapsed: 0.006 s 0.14/0.37 % (6194)Instructions burned: 5 (million) 0.14/0.37 % (6194)------------------------------ 0.14/0.37 % (6194)------------------------------ 0.14/0.37 % (6192)Instruction limit reached! 0.14/0.37 % (6192)------------------------------ 0.14/0.37 % (6192)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.37 % (6192)Termination reason: Unknown 0.14/0.37 % (6192)Termination phase: Saturation 0.14/0.37 0.14/0.37 % (6192)Memory used [KB]: 5756 0.14/0.37 % (6192)Time elapsed: 0.013 s 0.14/0.37 % (6192)Instructions burned: 17 (million) 0.14/0.37 % (6192)------------------------------ 0.14/0.37 % (6192)------------------------------ 0.20/0.38 % (6196)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (1799ds/21Mi) 0.20/0.38 % (6193)Instruction limit reached! 0.20/0.38 % (6193)------------------------------ 0.20/0.38 % (6193)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.38 % (6193)Termination reason: Unknown 0.20/0.38 % (6193)Termination phase: Saturation 0.20/0.38 0.20/0.38 % (6193)Memory used [KB]: 5884 0.20/0.38 % (6193)Time elapsed: 0.027 s 0.20/0.38 % (6193)Instructions burned: 74 (million) 0.20/0.38 % (6193)------------------------------ 0.20/0.38 % (6193)------------------------------ 0.20/0.39 % (6190)Instruction limit reached! 0.20/0.39 % (6190)------------------------------ 0.20/0.39 % (6190)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.39 % (6190)Termination reason: Unknown 0.20/0.39 % (6190)Termination phase: Saturation 0.20/0.39 0.20/0.39 % (6190)Memory used [KB]: 5884 0.20/0.39 % (6190)Time elapsed: 0.024 s 0.20/0.39 % (6190)Instructions burned: 35 (million) 0.20/0.39 % (6190)------------------------------ 0.20/0.39 % (6190)------------------------------ 0.20/0.39 % (6189)Instruction limit reached! 0.20/0.39 % (6189)------------------------------ 0.20/0.39 % (6189)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.39 % (6189)Termination reason: Unknown 0.20/0.39 % (6189)Termination phase: Saturation 0.20/0.39 0.20/0.39 % (6189)Memory used [KB]: 5884 0.20/0.39 % (6189)Time elapsed: 0.026 s 0.20/0.39 % (6189)Instructions burned: 37 (million) 0.20/0.39 % (6189)------------------------------ 0.20/0.39 % (6189)------------------------------ 0.20/0.39 % (6199)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.20/0.39 % (6203)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (1799ds/1021Mi) 0.20/0.39 % (6199)Instruction limit reached! 0.20/0.39 % (6199)------------------------------ 0.20/0.39 % (6199)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.39 % (6199)Termination reason: Unknown 0.20/0.39 % (6199)Termination phase: Property scanning 0.20/0.39 0.20/0.39 % (6199)Memory used [KB]: 1151 0.20/0.39 % (6199)Time elapsed: 0.007 s 0.20/0.39 % (6199)Instructions burned: 8 (million) 0.20/0.39 % (6196)Instruction limit reached! 0.20/0.39 % (6196)------------------------------ 0.20/0.39 % (6196)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.39 % (6199)------------------------------ 0.20/0.39 % (6199)------------------------------ 0.20/0.39 % (6196)Termination reason: Unknown 0.20/0.39 % (6196)Termination phase: Saturation 0.20/0.39 0.20/0.39 % (6196)Memory used [KB]: 5756 0.20/0.39 % (6196)Time elapsed: 0.013 s 0.20/0.39 % (6196)Instructions burned: 21 (million) 0.20/0.39 % (6196)------------------------------ 0.20/0.39 % (6196)------------------------------ 0.20/0.40 % (6205)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi) 0.20/0.40 % (6206)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on Vampire---4 for (1799ds/9Mi) 0.20/0.41 % (6206)Instruction limit reached! 0.20/0.41 % (6206)------------------------------ 0.20/0.41 % (6206)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.41 % (6206)Termination reason: Unknown 0.20/0.41 % (6206)Termination phase: Saturation 0.20/0.41 0.20/0.41 % (6206)Memory used [KB]: 5628 0.20/0.41 % (6206)Time elapsed: 0.007 s 0.20/0.41 % (6206)Instructions burned: 10 (million) 0.20/0.41 % (6206)------------------------------ 0.20/0.41 % (6206)------------------------------ 0.20/0.41 % (6209)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi) 0.20/0.41 % (6208)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi) 0.20/0.42 % (6188)Instruction limit reached! 0.20/0.42 % (6188)------------------------------ 0.20/0.42 % (6188)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.42 % (6188)Termination reason: Unknown 0.20/0.42 % (6188)Termination phase: Saturation 0.20/0.42 0.20/0.42 % (6188)Memory used [KB]: 6012 0.20/0.42 % (6188)Time elapsed: 0.061 s 0.20/0.42 % (6188)Instructions burned: 96 (million) 0.20/0.42 % (6188)------------------------------ 0.20/0.42 % (6188)------------------------------ 0.20/0.42 % (6213)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.20/0.44 % (6220)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.20/0.45 % (6220)Instruction limit reached! 0.20/0.45 % (6220)------------------------------ 0.20/0.45 % (6220)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.45 % (6220)Termination reason: Unknown 0.20/0.45 % (6220)Termination phase: Saturation 0.20/0.45 0.20/0.45 % (6220)Memory used [KB]: 5628 0.20/0.45 % (6220)Time elapsed: 0.010 s 0.20/0.45 % (6220)Instructions burned: 14 (million) 0.20/0.45 % (6220)------------------------------ 0.20/0.45 % (6220)------------------------------ 0.20/0.45 % (6205)Instruction limit reached! 0.20/0.45 % (6205)------------------------------ 0.20/0.45 % (6205)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.45 % (6205)Termination reason: Unknown 0.20/0.45 % (6205)Termination phase: Saturation 0.20/0.45 0.20/0.45 % (6205)Memory used [KB]: 6012 0.20/0.45 % (6205)Time elapsed: 0.052 s 0.20/0.45 % (6205)Instructions burned: 71 (million) 0.20/0.45 % (6205)------------------------------ 0.20/0.45 % (6205)------------------------------ 0.20/0.46 % (6234)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1799ds/2Mi) 0.20/0.46 % (6234)Instruction limit reached! 0.20/0.46 % (6234)------------------------------ 0.20/0.46 % (6234)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.46 % (6234)Termination reason: Unknown 0.20/0.46 % (6234)Termination phase: shuffling 0.20/0.46 0.20/0.46 % (6234)Memory used [KB]: 1023 0.20/0.46 % (6234)Time elapsed: 0.003 s 0.20/0.46 % (6234)Instructions burned: 2 (million) 0.20/0.46 % (6234)------------------------------ 0.20/0.46 % (6234)------------------------------ 0.20/0.46 % (6213)Instruction limit reached! 0.20/0.46 % (6213)------------------------------ 0.20/0.46 % (6213)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.46 % (6213)Termination reason: Unknown 0.20/0.46 % (6213)Termination phase: Saturation 0.20/0.46 0.20/0.46 % (6213)Memory used [KB]: 6012 0.20/0.46 % (6213)Time elapsed: 0.042 s 0.20/0.46 % (6213)Instructions burned: 61 (million) 0.20/0.46 % (6213)------------------------------ 0.20/0.46 % (6213)------------------------------ 0.20/0.46 % (6238)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (1799ds/1041Mi) 0.20/0.47 % (6245)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) 0.20/0.48 % (6209)Instruction limit reached! 0.20/0.48 % (6209)------------------------------ 0.20/0.48 % (6209)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.48 % (6209)Termination reason: Unknown 0.20/0.48 % (6209)Termination phase: Saturation 0.20/0.48 0.20/0.48 % (6209)Memory used [KB]: 6396 0.20/0.48 % (6209)Time elapsed: 0.069 s 0.20/0.48 % (6209)Instructions burned: 128 (million) 0.20/0.48 % (6209)------------------------------ 0.20/0.48 % (6209)------------------------------ 0.20/0.48 % (6245)Instruction limit reached! 0.20/0.48 % (6245)------------------------------ 0.20/0.48 % (6245)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.48 % (6245)Termination reason: Unknown 0.20/0.48 % (6245)Termination phase: Saturation 0.20/0.48 0.20/0.48 % (6245)Memory used [KB]: 5500 0.20/0.48 % (6245)Time elapsed: 0.006 s 0.20/0.48 % (6245)Instructions burned: 13 (million) 0.20/0.48 % (6245)------------------------------ 0.20/0.48 % (6245)------------------------------ 0.20/0.48 % (6249)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) 0.20/0.49 % (6259)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1798ds/56Mi) 0.20/0.49 % (6258)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) 0.20/0.49 % (6258)Instruction limit reached! 0.20/0.49 % (6258)------------------------------ 0.20/0.49 % (6258)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.49 % (6258)Termination reason: Unknown 0.20/0.49 % (6258)Termination phase: Saturation 0.20/0.49 0.20/0.49 % (6258)Memory used [KB]: 5628 0.20/0.49 % (6258)Time elapsed: 0.009 s 0.20/0.49 % (6258)Instructions burned: 29 (million) 0.20/0.49 % (6258)------------------------------ 0.20/0.49 % (6258)------------------------------ 0.20/0.50 % (6278)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (1798ds/275Mi) 0.20/0.51 % (6259)Instruction limit reached! 0.20/0.51 % (6259)------------------------------ 0.20/0.51 % (6259)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.51 % (6259)Termination reason: Unknown 0.20/0.51 % (6259)Termination phase: Saturation 0.20/0.51 0.20/0.51 % (6259)Memory used [KB]: 1535 0.20/0.51 % (6259)Time elapsed: 0.022 s 0.20/0.51 % (6259)Instructions burned: 57 (million) 0.20/0.51 % (6259)------------------------------ 0.20/0.51 % (6259)------------------------------ 0.20/0.52 % (6282)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi) 0.20/0.52 % (6282)Instruction limit reached! 0.20/0.52 % (6282)------------------------------ 0.20/0.52 % (6282)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.52 % (6282)Termination reason: Unknown 0.20/0.52 % (6282)Termination phase: Naming 0.20/0.52 0.20/0.52 % (6282)Memory used [KB]: 1023 0.20/0.52 % (6282)Time elapsed: 0.003 s 0.20/0.52 % (6282)Instructions burned: 3 (million) 0.20/0.52 % (6282)------------------------------ 0.20/0.52 % (6282)------------------------------ 1.48/0.53 % (6289)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) 1.48/0.53 % (6249)Instruction limit reached! 1.48/0.53 % (6249)------------------------------ 1.48/0.53 % (6249)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.48/0.53 % (6249)Termination reason: Unknown 1.48/0.53 % (6249)Termination phase: Saturation 1.48/0.53 1.48/0.53 % (6249)Memory used [KB]: 6268 1.48/0.53 % (6249)Time elapsed: 0.056 s 1.48/0.53 % (6249)Instructions burned: 140 (million) 1.48/0.53 % (6249)------------------------------ 1.48/0.53 % (6249)------------------------------ 1.48/0.54 % (6289)Instruction limit reached! 1.48/0.54 % (6289)------------------------------ 1.48/0.54 % (6289)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.48/0.54 % (6289)Termination reason: Unknown 1.48/0.54 % (6289)Termination phase: Saturation 1.48/0.54 1.48/0.54 % (6289)Memory used [KB]: 5500 1.48/0.54 % (6289)Time elapsed: 0.010 s 1.48/0.54 % (6289)Instructions burned: 19 (million) 1.48/0.54 % (6289)------------------------------ 1.48/0.54 % (6289)------------------------------ 1.65/0.55 % (6303)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) 1.65/0.55 % (6191)Instruction limit reached! 1.65/0.55 % (6191)------------------------------ 1.65/0.55 % (6191)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.65/0.55 % (6191)Termination reason: Unknown 1.65/0.55 % (6191)Termination phase: Saturation 1.65/0.55 1.65/0.55 % (6191)Memory used [KB]: 7036 1.65/0.55 % (6191)Time elapsed: 0.190 s 1.65/0.55 % (6191)Instructions burned: 385 (million) 1.65/0.55 % (6191)------------------------------ 1.65/0.55 % (6191)------------------------------ 1.65/0.55 % (6304)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) 1.65/0.57 % (6305)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) 1.65/0.57 % (6303)Instruction limit reached! 1.65/0.57 % (6303)------------------------------ 1.65/0.57 % (6303)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.65/0.57 % (6303)Termination reason: Unknown 1.65/0.57 % (6303)Termination phase: Saturation 1.65/0.57 1.65/0.57 % (6303)Memory used [KB]: 1151 1.65/0.57 % (6303)Time elapsed: 0.022 s 1.65/0.57 % (6303)Instructions burned: 45 (million) 1.65/0.57 % (6303)------------------------------ 1.65/0.57 % (6303)------------------------------ 1.65/0.58 % (6306)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 (1797ds/105Mi) 1.65/0.59 % (6305)Instruction limit reached! 1.65/0.59 % (6305)------------------------------ 1.65/0.59 % (6305)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.65/0.59 % (6305)Termination reason: Unknown 1.65/0.59 % (6305)Termination phase: Saturation 1.65/0.59 1.65/0.59 % (6305)Memory used [KB]: 5628 1.65/0.59 % (6305)Time elapsed: 0.030 s 1.65/0.59 % (6305)Instructions burned: 62 (million) 1.65/0.59 % (6305)------------------------------ 1.65/0.59 % (6305)------------------------------ 1.65/0.61 % (6307)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) 1.65/0.61 % (6307)Instruction limit reached! 1.65/0.61 % (6307)------------------------------ 1.65/0.61 % (6307)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.65/0.61 % (6307)Termination reason: Unknown 1.65/0.61 % (6307)Termination phase: Preprocessing 3 1.65/0.61 1.65/0.61 % (6307)Memory used [KB]: 1023 1.65/0.61 % (6307)Time elapsed: 0.003 s 1.65/0.61 % (6307)Instructions burned: 4 (million) 1.65/0.61 % (6307)------------------------------ 1.65/0.61 % (6307)------------------------------ 1.65/0.62 % (6309)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) 1.65/0.62 % (6278)Instruction limit reached! 1.65/0.62 % (6278)------------------------------ 1.65/0.62 % (6278)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.65/0.62 % (6278)Termination reason: Unknown 1.65/0.62 % (6278)Termination phase: Saturation 1.65/0.62 1.65/0.62 % (6278)Memory used [KB]: 6396 1.65/0.62 % (6278)Time elapsed: 0.122 s 1.65/0.62 % (6278)Instructions burned: 276 (million) 1.65/0.62 % (6278)------------------------------ 1.65/0.62 % (6278)------------------------------ 1.65/0.62 % (6306)Instruction limit reached! 1.65/0.62 % (6306)------------------------------ 1.65/0.62 % (6306)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.65/0.62 % (6306)Termination reason: Unknown 1.65/0.62 % (6306)Termination phase: Saturation 1.65/0.62 1.65/0.62 % (6306)Memory used [KB]: 6140 1.65/0.62 % (6306)Time elapsed: 0.046 s 1.65/0.62 % (6306)Instructions burned: 106 (million) 1.65/0.62 % (6306)------------------------------ 1.65/0.62 % (6306)------------------------------ 2.23/0.63 % (6318)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) 2.23/0.63 % (6304)Instruction limit reached! 2.23/0.63 % (6304)------------------------------ 2.23/0.63 % (6304)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.23/0.63 % (6304)Termination reason: Unknown 2.23/0.63 % (6304)Termination phase: Saturation 2.23/0.63 2.23/0.63 % (6304)Memory used [KB]: 6652 2.23/0.63 % (6304)Time elapsed: 0.083 s 2.23/0.63 % (6304)Instructions burned: 194 (million) 2.23/0.63 % (6304)------------------------------ 2.23/0.63 % (6304)------------------------------ 2.23/0.63 % (6318)Instruction limit reached! 2.23/0.63 % (6318)------------------------------ 2.23/0.63 % (6318)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.23/0.63 % (6318)Termination reason: Unknown 2.23/0.63 % (6319)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) 2.23/0.63 % (6318)Termination phase: Preprocessing 2 2.23/0.63 2.23/0.63 % (6318)Memory used [KB]: 1023 2.23/0.63 % (6318)Time elapsed: 0.002 s 2.23/0.63 % (6318)Instructions burned: 3 (million) 2.23/0.63 % (6318)------------------------------ 2.23/0.63 % (6318)------------------------------ 2.23/0.64 % (6319)Instruction limit reached! 2.23/0.64 % (6319)------------------------------ 2.23/0.64 % (6319)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.23/0.64 % (6319)Termination reason: Unknown 2.23/0.64 % (6319)Termination phase: Property scanning 2.23/0.64 2.23/0.64 % (6319)Memory used [KB]: 1151 2.23/0.64 % (6319)Time elapsed: 0.003 s 2.23/0.64 % (6319)Instructions burned: 6 (million) 2.23/0.64 % (6319)------------------------------ 2.23/0.64 % (6319)------------------------------ 2.23/0.64 % (6324)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) 2.23/0.64 % (6325)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) 2.23/0.64 % (6327)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) 2.23/0.68 % (6324)Instruction limit reached! 2.23/0.68 % (6324)------------------------------ 2.23/0.68 % (6324)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.23/0.68 % (6324)Termination reason: Unknown 2.23/0.68 % (6324)Termination phase: Property scanning 2.23/0.68 2.23/0.68 % (6324)Memory used [KB]: 2174 2.23/0.68 % (6324)Time elapsed: 0.037 s 2.23/0.68 % (6324)Instructions burned: 150 (million) 2.23/0.68 % (6324)------------------------------ 2.23/0.68 % (6324)------------------------------ 2.63/0.69 % (6309)Instruction limit reached! 2.63/0.69 % (6309)------------------------------ 2.63/0.69 % (6309)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.63/0.69 % (6309)Termination reason: Unknown 2.63/0.69 % (6309)Termination phase: Saturation 2.63/0.69 2.63/0.69 % (6309)Memory used [KB]: 6012 2.63/0.69 % (6309)Time elapsed: 0.072 s 2.63/0.69 % (6309)Instructions burned: 239 (million) 2.63/0.69 % (6309)------------------------------ 2.63/0.69 % (6309)------------------------------ 2.63/0.69 % (6351)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (1796ds/39Mi) 2.63/0.69 % (6325)Instruction limit reached! 2.63/0.69 % (6325)------------------------------ 2.63/0.69 % (6325)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.63/0.69 % (6325)Termination reason: Unknown 2.63/0.69 % (6325)Termination phase: Saturation 2.63/0.69 2.63/0.69 % (6325)Memory used [KB]: 6396 2.63/0.69 % (6325)Time elapsed: 0.071 s 2.63/0.69 % (6325)Instructions burned: 150 (million) 2.63/0.69 % (6325)------------------------------ 2.63/0.69 % (6325)------------------------------ 2.63/0.69 % (6356)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) 2.63/0.70 % (6351)Instruction limit reached! 2.63/0.70 % (6351)------------------------------ 2.63/0.70 % (6351)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.63/0.70 % (6351)Termination reason: Unknown 2.63/0.70 % (6351)Termination phase: Saturation 2.63/0.70 2.63/0.70 % (6351)Memory used [KB]: 5756 2.63/0.70 % (6351)Time elapsed: 0.037 s 2.63/0.70 % (6351)Instructions burned: 39 (million) 2.63/0.70 % (6351)------------------------------ 2.63/0.70 % (6351)------------------------------ 2.63/0.70 % (6357)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) 2.63/0.70 % (6357)Instruction limit reached! 2.63/0.70 % (6357)------------------------------ 2.63/0.70 % (6357)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.63/0.70 % (6357)Termination reason: Unknown 2.63/0.70 % (6357)Termination phase: Naming 2.63/0.70 2.63/0.70 % (6357)Memory used [KB]: 1023 2.63/0.70 % (6357)Time elapsed: 0.002 s 2.63/0.70 % (6357)Instructions burned: 3 (million) 2.63/0.70 % (6357)------------------------------ 2.63/0.70 % (6357)------------------------------ 2.63/0.71 % (6361)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) 2.63/0.71 % (6363)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) 2.63/0.71 % (6327)Instruction limit reached! 2.63/0.71 % (6327)------------------------------ 2.63/0.71 % (6327)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.63/0.71 % (6327)Termination reason: Unknown 2.63/0.71 % (6327)Termination phase: Saturation 2.63/0.71 2.63/0.71 % (6327)Memory used [KB]: 6268 2.63/0.71 % (6327)Time elapsed: 0.091 s 2.63/0.71 % (6327)Instructions burned: 200 (million) 2.63/0.71 % (6327)------------------------------ 2.63/0.71 % (6327)------------------------------ 2.63/0.71 % (6361)Instruction limit reached! 2.63/0.71 % (6361)------------------------------ 2.63/0.71 % (6361)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.63/0.71 % (6361)Termination reason: Unknown 2.63/0.71 % (6361)Termination phase: Saturation 2.63/0.71 2.63/0.71 % (6361)Memory used [KB]: 5756 2.63/0.71 % (6361)Time elapsed: 0.007 s 2.63/0.71 % (6361)Instructions burned: 19 (million) 2.63/0.71 % (6361)------------------------------ 2.63/0.71 % (6361)------------------------------ 2.63/0.72 % (6371)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) 2.63/0.72 % (6372)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) 2.63/0.72 % (6372)Instruction limit reached! 2.63/0.72 % (6372)------------------------------ 2.63/0.72 % (6372)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.63/0.72 % (6372)Termination reason: Unknown 2.63/0.72 % (6372)Termination phase: Saturation 2.63/0.72 2.63/0.72 % (6372)Memory used [KB]: 1023 2.63/0.72 % (6372)Time elapsed: 0.003 s 2.63/0.72 % (6372)Instructions burned: 7 (million) 2.63/0.72 % (6372)------------------------------ 2.63/0.72 % (6372)------------------------------ 2.63/0.73 % (6377)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) 2.63/0.74 % (6377)Instruction limit reached! 2.63/0.74 % (6377)------------------------------ 2.63/0.74 % (6377)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.63/0.74 % (6377)Termination reason: Unknown 2.63/0.74 % (6377)Termination phase: Saturation 2.63/0.74 2.63/0.74 % (6377)Memory used [KB]: 5628 2.63/0.74 % (6377)Time elapsed: 0.004 s 2.63/0.74 % (6377)Instructions burned: 10 (million) 2.63/0.74 % (6377)------------------------------ 2.63/0.74 % (6377)------------------------------ 2.63/0.74 % (6380)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) 2.63/0.75 % (6380)Instruction limit reached! 2.63/0.75 % (6380)------------------------------ 2.63/0.75 % (6380)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.63/0.75 % (6380)Termination reason: Unknown 2.63/0.75 % (6380)Termination phase: Property scanning 2.63/0.75 2.63/0.75 % (6380)Memory used [KB]: 1151 2.63/0.75 % (6380)Time elapsed: 0.006 s 2.63/0.75 % (6380)Instructions burned: 18 (million) 2.63/0.75 % (6380)------------------------------ 2.63/0.75 % (6380)------------------------------ 3.18/0.75 % (6195)Instruction limit reached! 3.18/0.75 % (6195)------------------------------ 3.18/0.75 % (6195)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.18/0.75 % (6195)Termination reason: Unknown 3.18/0.75 % (6195)Termination phase: Saturation 3.18/0.75 3.18/0.75 % (6195)Memory used [KB]: 7419 3.18/0.75 % (6195)Time elapsed: 0.390 s 3.18/0.75 % (6195)Instructions burned: 917 (million) 3.18/0.75 % (6195)------------------------------ 3.18/0.75 % (6195)------------------------------ 3.18/0.76 % (6388)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) 3.18/0.76 % (6391)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (1795ds/2Mi) 3.18/0.76 % (6391)Instruction limit reached! 3.18/0.76 % (6391)------------------------------ 3.18/0.76 % (6391)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.18/0.76 % (6391)Termination reason: Unknown 3.18/0.76 % (6391)Termination phase: Naming 3.18/0.76 3.18/0.76 % (6391)Memory used [KB]: 1023 3.18/0.76 % (6391)Time elapsed: 0.002 s 3.18/0.76 % (6391)Instructions burned: 3 (million) 3.18/0.76 % (6391)------------------------------ 3.18/0.76 % (6391)------------------------------ 3.25/0.76 % (6203)Instruction limit reached! 3.25/0.76 % (6203)------------------------------ 3.25/0.76 % (6203)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.25/0.76 % (6203)Termination reason: Unknown 3.25/0.76 % (6203)Termination phase: Saturation 3.25/0.76 3.25/0.76 % (6203)Memory used [KB]: 8443 3.25/0.76 % (6203)Time elapsed: 0.374 s 3.25/0.76 % (6203)Instructions burned: 1022 (million) 3.25/0.76 % (6203)------------------------------ 3.25/0.76 % (6203)------------------------------ 3.25/0.77 % (6401)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 (1795ds/98Mi) 3.25/0.77 % (6388)Instruction limit reached! 3.25/0.77 % (6388)------------------------------ 3.25/0.77 % (6388)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.25/0.77 % (6388)Termination reason: Unknown 3.25/0.77 % (6388)Termination phase: Saturation 3.25/0.77 3.25/0.77 % (6388)Memory used [KB]: 5884 3.25/0.77 % (6388)Time elapsed: 0.015 s 3.25/0.77 % (6388)Instructions burned: 40 (million) 3.25/0.77 % (6388)------------------------------ 3.25/0.77 % (6388)------------------------------ 3.25/0.77 % (6403)lrs+1004_1:1_chr=on:prag=on:i=8:si=on:rtra=on_0 on Vampire---4 for (1795ds/8Mi) 3.25/0.78 % (6403)Instruction limit reached! 3.25/0.78 % (6403)------------------------------ 3.25/0.78 % (6403)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.25/0.78 % (6403)Termination reason: Unknown 3.25/0.78 % (6403)Termination phase: Saturation 3.25/0.78 3.25/0.78 % (6403)Memory used [KB]: 1151 3.25/0.78 % (6403)Time elapsed: 0.004 s 3.25/0.78 % (6403)Instructions burned: 10 (million) 3.25/0.78 % (6403)------------------------------ 3.25/0.78 % (6403)------------------------------ 3.25/0.78 % (6406)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 (1795ds/86Mi) 3.25/0.78 % (6363)Instruction limit reached! 3.25/0.78 % (6363)------------------------------ 3.25/0.78 % (6363)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.25/0.78 % (6363)Termination reason: Unknown 3.25/0.78 % (6363)Termination phase: Saturation 3.25/0.78 3.25/0.78 % (6363)Memory used [KB]: 6524 3.25/0.78 % (6363)Time elapsed: 0.076 s 3.25/0.78 % (6363)Instructions burned: 218 (million) 3.25/0.78 % (6363)------------------------------ 3.25/0.78 % (6363)------------------------------ 3.25/0.78 % (6411)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 (1795ds/3Mi) 3.25/0.79 % (6411)Instruction limit reached! 3.25/0.79 % (6411)------------------------------ 3.25/0.79 % (6411)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.25/0.79 % (6411)Termination reason: Unknown 3.25/0.79 % (6411)Termination phase: Naming 3.25/0.79 3.25/0.79 % (6411)Memory used [KB]: 1023 3.25/0.79 % (6411)Time elapsed: 0.002 s 3.25/0.79 % (6411)Instructions burned: 3 (million) 3.25/0.79 % (6411)------------------------------ 3.25/0.79 % (6411)------------------------------ 3.25/0.79 % (6420)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) 3.25/0.79 % (6423)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) 3.25/0.80 % (6401)Instruction limit reached! 3.25/0.80 % (6401)------------------------------ 3.25/0.80 % (6401)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.25/0.80 % (6401)Termination reason: Unknown 3.25/0.80 % (6401)Termination phase: Saturation 3.25/0.80 3.25/0.80 % (6401)Memory used [KB]: 1279 3.25/0.80 % (6401)Time elapsed: 0.032 s 3.25/0.80 % (6401)Instructions burned: 101 (million) 3.25/0.80 % (6401)------------------------------ 3.25/0.80 % (6401)------------------------------ 3.25/0.81 % (6406)Instruction limit reached! 3.25/0.81 % (6406)------------------------------ 3.25/0.81 % (6406)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.25/0.81 % (6406)Termination reason: Unknown 3.25/0.81 % (6406)Termination phase: Saturation 3.25/0.81 3.25/0.81 % (6406)Memory used [KB]: 6140 3.25/0.81 % (6406)Time elapsed: 0.029 s 3.25/0.81 % (6406)Instructions burned: 87 (million) 3.25/0.81 % (6406)------------------------------ 3.25/0.81 % (6406)------------------------------ 3.56/0.81 % (6432)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (1795ds/47Mi) 3.56/0.81 % (6208)Instruction limit reached! 3.56/0.81 % (6208)------------------------------ 3.56/0.81 % (6208)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.56/0.81 % (6208)Termination reason: Unknown 3.56/0.81 % (6208)Termination phase: Saturation 3.56/0.81 3.56/0.81 % (6208)Memory used [KB]: 7419 3.56/0.81 % (6208)Time elapsed: 0.405 s 3.56/0.81 % (6208)Instructions burned: 1047 (million) 3.56/0.81 % (6208)------------------------------ 3.56/0.81 % (6208)------------------------------ 3.56/0.82 % (6437)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) 3.56/0.82 % (6443)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) 3.56/0.82 % (6443)Instruction limit reached! 3.56/0.82 % (6443)------------------------------ 3.56/0.82 % (6443)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.56/0.82 % (6443)Termination reason: Unknown 3.56/0.82 % (6443)Termination phase: Preprocessing 3 3.56/0.82 3.56/0.82 % (6443)Memory used [KB]: 1023 3.56/0.82 % (6443)Time elapsed: 0.003 s 3.56/0.82 % (6443)Instructions burned: 5 (million) 3.56/0.82 % (6443)------------------------------ 3.56/0.82 % (6443)------------------------------ 3.56/0.82 % (6432)Instruction limit reached! 3.56/0.82 % (6432)------------------------------ 3.56/0.82 % (6432)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.56/0.82 % (6432)Termination reason: Unknown 3.56/0.82 % (6432)Termination phase: Saturation 3.56/0.82 3.56/0.82 % (6432)Memory used [KB]: 5884 3.56/0.82 % (6432)Time elapsed: 0.015 s 3.56/0.82 % (6432)Instructions burned: 47 (million) 3.56/0.82 % (6432)------------------------------ 3.56/0.82 % (6432)------------------------------ 3.56/0.83 % (6437)Instruction limit reached! 3.56/0.83 % (6437)------------------------------ 3.56/0.83 % (6437)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.56/0.83 % (6437)Termination reason: Unknown 3.56/0.83 % (6437)Termination phase: Saturation 3.56/0.83 3.56/0.83 % (6437)Memory used [KB]: 5628 3.56/0.83 % (6437)Time elapsed: 0.012 s 3.56/0.83 % (6437)Instructions burned: 41 (million) 3.56/0.83 % (6437)------------------------------ 3.56/0.83 % (6437)------------------------------ 3.56/0.83 % (6452)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) 3.56/0.83 % (6455)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) 3.56/0.83 % (6455)Instruction limit reached! 3.56/0.83 % (6455)------------------------------ 3.56/0.83 % (6455)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.56/0.83 % (6455)Termination reason: Unknown 3.56/0.83 % (6455)Termination phase: Saturation 3.56/0.83 3.56/0.83 % (6455)Memory used [KB]: 1023 3.56/0.83 % (6455)Time elapsed: 0.003 s 3.56/0.83 % (6455)Instructions burned: 7 (million) 3.56/0.83 % (6455)------------------------------ 3.56/0.83 % (6455)------------------------------ 3.56/0.83 % (6456)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) 3.56/0.84 % (6452)Instruction limit reached! 3.56/0.84 % (6452)------------------------------ 3.56/0.84 % (6452)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.56/0.84 % (6452)Termination reason: Unknown 3.56/0.84 % (6452)Termination phase: Saturation 3.56/0.84 3.56/0.84 % (6452)Memory used [KB]: 5628 3.56/0.84 % (6452)Time elapsed: 0.007 s 3.56/0.84 % (6452)Instructions burned: 20 (million) 3.56/0.84 % (6452)------------------------------ 3.56/0.84 % (6452)------------------------------ 3.67/0.84 % (6457)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) 3.67/0.84 % (6459)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) 3.67/0.85 % (6456)Instruction limit reached! 3.67/0.85 % (6456)------------------------------ 3.67/0.85 % (6456)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.67/0.85 % (6456)Termination reason: Unknown 3.67/0.85 % (6456)Termination phase: Saturation 3.67/0.85 3.67/0.85 % (6456)Memory used [KB]: 10106 3.67/0.85 % (6456)Time elapsed: 0.014 s 3.67/0.85 % (6456)Instructions burned: 44 (million) 3.67/0.85 % (6456)------------------------------ 3.67/0.85 % (6456)------------------------------ 3.67/0.85 % (6466)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) 3.67/0.86 % (6371)Instruction limit reached! 3.67/0.86 % (6371)------------------------------ 3.67/0.86 % (6371)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.67/0.86 % (6371)Termination reason: Unknown 3.67/0.86 % (6371)Termination phase: Saturation 3.67/0.86 3.67/0.86 % (6371)Memory used [KB]: 6908 3.67/0.86 % (6371)Time elapsed: 0.141 s 3.67/0.86 % (6371)Instructions burned: 450 (million) 3.67/0.86 % (6371)------------------------------ 3.67/0.86 % (6371)------------------------------ 3.67/0.87 % (6477)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on Vampire---4 for (1794ds/204Mi) 3.67/0.88 % (6459)Instruction limit reached! 3.67/0.88 % (6459)------------------------------ 3.67/0.88 % (6459)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.67/0.88 % (6459)Termination reason: Unknown 3.67/0.88 % (6459)Termination phase: Saturation 3.67/0.88 3.67/0.88 % (6459)Memory used [KB]: 5884 3.67/0.88 % (6459)Time elapsed: 0.034 s 3.67/0.88 % (6459)Instructions burned: 103 (million) 3.67/0.88 % (6459)------------------------------ 3.67/0.88 % (6459)------------------------------ 3.67/0.88 % (6423)Instruction limit reached! 3.67/0.88 % (6423)------------------------------ 3.67/0.88 % (6423)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.67/0.88 % (6423)Termination reason: Unknown 3.67/0.88 % (6423)Termination phase: Saturation 3.67/0.88 3.67/0.88 % (6423)Memory used [KB]: 6524 3.67/0.88 % (6423)Time elapsed: 0.090 s 3.67/0.88 % (6423)Instructions burned: 276 (million) 3.67/0.88 % (6423)------------------------------ 3.67/0.88 % (6423)------------------------------ 3.67/0.88 % (6483)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on Vampire---4 for (1794ds/154Mi) 3.67/0.89 % (6238)Instruction limit reached! 3.67/0.89 % (6238)------------------------------ 3.67/0.89 % (6238)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.67/0.89 % (6238)Termination reason: Unknown 3.67/0.89 % (6238)Termination phase: Saturation 3.67/0.89 3.67/0.89 % (6238)Memory used [KB]: 10234 3.67/0.89 % (6238)Time elapsed: 0.434 s 3.67/0.89 % (6238)Instructions burned: 1043 (million) 3.67/0.89 % (6238)------------------------------ 3.67/0.89 % (6238)------------------------------ 3.67/0.89 % (6420)Instruction limit reached! 3.67/0.89 % (6420)------------------------------ 3.67/0.89 % (6420)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.67/0.89 % (6420)Termination reason: Unknown 3.67/0.89 % (6420)Termination phase: Saturation 3.67/0.89 3.67/0.89 % (6420)Memory used [KB]: 6652 3.67/0.89 % (6420)Time elapsed: 0.096 s 3.67/0.89 % (6420)Instructions burned: 294 (million) 3.67/0.89 % (6420)------------------------------ 3.67/0.89 % (6420)------------------------------ 3.67/0.89 % (6487)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=424:si=on:rtra=on_0 on Vampire---4 for (1794ds/424Mi) 3.67/0.89 % (6490)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on Vampire---4 for (1794ds/231Mi) 3.67/0.90 % (6488)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on Vampire---4 for (1794ds/41Mi) 3.67/0.90 % (6466)Instruction limit reached! 3.67/0.90 % (6466)------------------------------ 3.67/0.90 % (6466)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.67/0.90 % (6466)Termination reason: Unknown 3.67/0.90 % (6466)Termination phase: Saturation 3.67/0.90 3.67/0.90 % (6466)Memory used [KB]: 6396 3.67/0.90 % (6466)Time elapsed: 0.043 s 3.67/0.90 % (6466)Instructions burned: 135 (million) 3.67/0.90 % (6466)------------------------------ 3.67/0.90 % (6466)------------------------------ 3.67/0.90 % (6493)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on Vampire---4 for (1794ds/70Mi) 3.67/0.91 % (6488)Instruction limit reached! 3.67/0.91 % (6488)------------------------------ 3.67/0.91 % (6488)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.67/0.91 % (6488)Termination reason: Unknown 3.67/0.91 % (6488)Termination phase: Saturation 3.67/0.91 3.67/0.91 % (6488)Memory used [KB]: 5628 3.67/0.91 % (6488)Time elapsed: 0.012 s 3.67/0.91 % (6488)Instructions burned: 42 (million) 3.67/0.91 % (6488)------------------------------ 3.67/0.91 % (6488)------------------------------ 3.67/0.91 % (6498)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=297:si=on:rtra=on_0 on Vampire---4 for (1794ds/297Mi) 3.67/0.92 % (6356)Instruction limit reached! 3.67/0.92 % (6356)------------------------------ 3.67/0.92 % (6356)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.67/0.92 % (6356)Termination reason: Unknown 3.67/0.92 % (6356)Termination phase: Saturation 3.67/0.92 3.67/0.92 % (6356)Memory used [KB]: 8187 3.67/0.92 % (6356)Time elapsed: 0.222 s 3.67/0.92 % (6356)Instructions burned: 723 (million) 3.67/0.92 % (6356)------------------------------ 3.67/0.92 % (6356)------------------------------ 3.67/0.92 % (6502)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on Vampire---4 for (1794ds/182Mi) 3.67/0.92 % (6493)Instruction limit reached! 3.67/0.92 % (6493)------------------------------ 3.67/0.92 % (6493)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.67/0.92 % (6493)Termination reason: Unknown 3.67/0.92 % (6493)Termination phase: Saturation 3.67/0.92 3.67/0.92 % (6493)Memory used [KB]: 1279 3.67/0.92 % (6493)Time elapsed: 0.022 s 3.67/0.92 % (6493)Instructions burned: 72 (million) 3.67/0.92 % (6493)------------------------------ 3.67/0.92 % (6493)------------------------------ 4.46/0.93 % (6483)Instruction limit reached! 4.46/0.93 % (6483)------------------------------ 4.46/0.93 % (6483)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.46/0.93 % (6483)Termination reason: Unknown 4.46/0.93 % (6483)Termination phase: Saturation 4.46/0.93 4.46/0.93 % (6483)Memory used [KB]: 6268 4.46/0.93 % (6483)Time elapsed: 0.046 s 4.46/0.93 % (6483)Instructions burned: 154 (million) 4.46/0.93 % (6483)------------------------------ 4.46/0.93 % (6483)------------------------------ 4.46/0.93 % (6503)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=130:si=on:rtra=on_0 on Vampire---4 for (1794ds/130Mi) 4.46/0.93 % (6477)Instruction limit reached! 4.46/0.93 % (6477)------------------------------ 4.46/0.93 % (6477)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.46/0.93 % (6477)Termination reason: Unknown 4.46/0.93 % (6477)Termination phase: Saturation 4.46/0.93 4.46/0.93 % (6477)Memory used [KB]: 6268 4.46/0.93 % (6477)Time elapsed: 0.065 s 4.46/0.93 % (6477)Instructions burned: 206 (million) 4.46/0.93 % (6477)------------------------------ 4.46/0.93 % (6477)------------------------------ 4.46/0.94 % (6504)lrs+21_1:16_au=on:cbe=off:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=7,4:i=570:si=on:rtra=on_0 on Vampire---4 for (1794ds/570Mi) 4.46/0.94 % (6505)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on Vampire---4 for (1794ds/297Mi) 4.46/0.95 % (6490)Instruction limit reached! 4.46/0.95 % (6490)------------------------------ 4.46/0.95 % (6490)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.46/0.95 % (6490)Termination reason: Unknown 4.46/0.95 % (6490)Termination phase: Saturation 4.46/0.95 4.46/0.95 % (6490)Memory used [KB]: 5884 4.46/0.95 % (6490)Time elapsed: 0.055 s 4.46/0.95 % (6490)Instructions burned: 231 (million) 4.46/0.95 % (6490)------------------------------ 4.46/0.95 % (6490)------------------------------ 4.46/0.96 % (6506)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=190:si=on:rtra=on_0 on Vampire---4 for (1794ds/190Mi) 4.46/0.96 % (6503)Instruction limit reached! 4.46/0.96 % (6503)------------------------------ 4.46/0.96 % (6503)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.46/0.96 % (6503)Termination reason: Unknown 4.46/0.96 % (6503)Termination phase: Property scanning 4.46/0.96 4.46/0.96 % (6503)Memory used [KB]: 2174 4.46/0.96 % (6503)Time elapsed: 0.030 s 4.46/0.96 % (6503)Instructions burned: 130 (million) 4.46/0.96 % (6503)------------------------------ 4.46/0.96 % (6503)------------------------------ 4.46/0.96 % (6502)Instruction limit reached! 4.46/0.96 % (6502)------------------------------ 4.46/0.96 % (6502)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.46/0.96 % (6502)Termination reason: Unknown 4.46/0.96 % (6502)Termination phase: Property scanning 4.46/0.96 4.46/0.96 % (6502)Memory used [KB]: 2174 4.46/0.96 % (6502)Time elapsed: 0.041 s 4.46/0.96 % (6502)Instructions burned: 183 (million) 4.46/0.96 % (6502)------------------------------ 4.46/0.96 % (6502)------------------------------ 4.46/0.97 % (6457)Instruction limit reached! 4.46/0.97 % (6457)------------------------------ 4.46/0.97 % (6457)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.46/0.97 % (6457)Termination reason: Unknown 4.46/0.97 % (6457)Termination phase: Saturation 4.46/0.97 4.46/0.97 % (6457)Memory used [KB]: 8699 4.46/0.97 % (6457)Time elapsed: 0.127 s 4.46/0.97 % (6457)Instructions burned: 452 (million) 4.46/0.97 % (6457)------------------------------ 4.46/0.97 % (6457)------------------------------ 4.46/0.97 % (6513)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on Vampire---4 for (1794ds/96Mi) 4.46/0.97 % (6516)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on Vampire---4 for (1794ds/182Mi) 4.46/0.98 % (6518)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on Vampire---4 for (1793ds/368Mi) 4.86/1.00 % (6513)Instruction limit reached! 4.86/1.00 % (6513)------------------------------ 4.86/1.00 % (6513)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.86/1.00 % (6513)Termination reason: Unknown 4.86/1.00 % (6513)Termination phase: Saturation 4.86/1.00 4.86/1.00 % (6513)Memory used [KB]: 5884 4.86/1.00 % (6513)Time elapsed: 0.031 s 4.86/1.00 % (6513)Instructions burned: 97 (million) 4.86/1.00 % (6513)------------------------------ 4.86/1.00 % (6513)------------------------------ 4.86/1.01 % (6527)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=390:si=on:rtra=on_0 on Vampire---4 for (1793ds/390Mi) 4.86/1.01 % (6498)Instruction limit reached! 4.86/1.01 % (6498)------------------------------ 4.86/1.01 % (6498)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.86/1.01 % (6498)Termination reason: Unknown 4.86/1.01 % (6498)Termination phase: Saturation 4.86/1.01 4.86/1.01 % (6498)Memory used [KB]: 6780 4.86/1.01 % (6498)Time elapsed: 0.096 s 4.86/1.01 % (6498)Instructions burned: 299 (million) 4.86/1.01 % (6498)------------------------------ 4.86/1.01 % (6498)------------------------------ 4.86/1.02 % (6531)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on Vampire---4 for (1793ds/192Mi) 4.86/1.02 % (6487)Instruction limit reached! 4.86/1.02 % (6487)------------------------------ 4.86/1.02 % (6487)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.86/1.02 % (6487)Termination reason: Unknown 4.86/1.02 % (6487)Termination phase: Saturation 4.86/1.02 4.86/1.02 % (6487)Memory used [KB]: 7164 4.86/1.02 % (6487)Time elapsed: 0.126 s 4.86/1.02 % (6487)Instructions burned: 425 (million) 4.86/1.02 % (6487)------------------------------ 4.86/1.02 % (6487)------------------------------ 4.86/1.02 % (6506)Instruction limit reached! 4.86/1.02 % (6506)------------------------------ 4.86/1.02 % (6506)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.86/1.02 % (6505)Instruction limit reached! 4.86/1.02 % (6505)------------------------------ 4.86/1.02 % (6505)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.86/1.02 % (6505)Termination reason: Unknown 4.86/1.02 % (6505)Termination phase: Saturation 4.86/1.02 4.86/1.02 % (6505)Memory used [KB]: 6012 4.86/1.02 % (6505)Time elapsed: 0.079 s 4.86/1.02 % (6505)Instructions burned: 298 (million) 4.86/1.02 % (6505)------------------------------ 4.86/1.02 % (6505)------------------------------ 4.86/1.02 % (6506)Termination reason: Unknown 4.86/1.02 % (6506)Termination phase: Saturation 4.86/1.02 4.86/1.02 % (6506)Memory used [KB]: 6396 4.86/1.02 % (6506)Time elapsed: 0.063 s 4.86/1.02 % (6506)Instructions burned: 191 (million) 4.86/1.02 % (6506)------------------------------ 4.86/1.02 % (6506)------------------------------ 4.86/1.02 % (6537)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=279:si=on:rtra=on_0 on Vampire---4 for (1793ds/279Mi) 4.86/1.03 % (6538)lrs+1010_1:1024_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:ixr=off:i=25:si=on:rtra=on_0 on Vampire---4 for (1793ds/25Mi) 4.86/1.03 % (6539)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=940:si=on:rtra=on_0 on Vampire---4 for (1793ds/940Mi) 4.86/1.03 % (6516)Instruction limit reached! 4.86/1.03 % (6516)------------------------------ 4.86/1.03 % (6516)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.86/1.03 % (6516)Termination reason: Unknown 4.86/1.03 % (6516)Termination phase: Saturation 4.86/1.03 4.86/1.03 % (6516)Memory used [KB]: 6396 4.86/1.03 % (6516)Time elapsed: 0.082 s 4.86/1.03 % (6516)Instructions burned: 184 (million) 4.86/1.03 % (6516)------------------------------ 4.86/1.03 % (6516)------------------------------ 4.86/1.03 % (6538)Instruction limit reached! 4.86/1.03 % (6538)------------------------------ 4.86/1.03 % (6538)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.86/1.03 % (6538)Termination reason: Unknown 4.86/1.03 % (6538)Termination phase: Saturation 4.86/1.03 4.86/1.03 % (6538)Memory used [KB]: 5500 4.86/1.03 % (6538)Time elapsed: 0.008 s 4.86/1.03 % (6538)Instructions burned: 26 (million) 4.86/1.03 % (6538)------------------------------ 4.86/1.03 % (6538)------------------------------ 4.86/1.04 % (6546)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=422:si=on:rtra=on_0 on Vampire---4 for (1793ds/422Mi) 4.86/1.04 % (6547)lrs+10_1:1_cnfonf=lazy_gen:hud=7:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=103:si=on:rtra=on_0 on Vampire---4 for (1793ds/103Mi) 5.37/1.07 % (6547)Instruction limit reached! 5.37/1.07 % (6547)------------------------------ 5.37/1.07 % (6547)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.37/1.07 % (6547)Termination reason: Unknown 5.37/1.07 % (6547)Termination phase: Saturation 5.37/1.07 5.37/1.07 % (6547)Memory used [KB]: 5628 5.37/1.07 % (6547)Time elapsed: 0.029 s 5.37/1.07 % (6547)Instructions burned: 105 (million) 5.37/1.07 % (6547)------------------------------ 5.37/1.07 % (6547)------------------------------ 5.37/1.08 % (6562)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on Vampire---4 for (1792ds/182Mi) 5.90/1.08 % (6518)Instruction limit reached! 5.90/1.08 % (6518)------------------------------ 5.90/1.08 % (6518)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.90/1.08 % (6518)Termination reason: Unknown 5.90/1.08 % (6518)Termination phase: Saturation 5.90/1.08 5.90/1.08 % (6531)Instruction limit reached! 5.90/1.08 % (6531)------------------------------ 5.90/1.08 % (6531)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.90/1.08 % (6518)Memory used [KB]: 7036 5.90/1.08 % (6518)Time elapsed: 0.108 s 5.90/1.08 % (6518)Instructions burned: 369 (million) 5.90/1.08 % (6518)------------------------------ 5.90/1.08 % (6518)------------------------------ 5.90/1.08 % (6531)Termination reason: Unknown 5.90/1.08 % (6531)Termination phase: Saturation 5.90/1.08 5.90/1.08 % (6531)Memory used [KB]: 6524 5.90/1.08 % (6531)Time elapsed: 0.057 s 5.90/1.08 % (6531)Instructions burned: 194 (million) 5.90/1.08 % (6531)------------------------------ 5.90/1.08 % (6531)------------------------------ 5.90/1.09 % (6574)lrs+10_1:5_av=off:bd=off:fd=off:kws=precedence:nwc=3.0:prag=on:rawr=on:sos=all:sp=reverse_frequency:i=230:si=on:rtra=on_0 on Vampire---4 for (1792ds/230Mi) 5.90/1.09 % (6575)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on Vampire---4 for (1792ds/83Mi) 5.90/1.11 % (6537)Instruction limit reached! 5.90/1.11 % (6537)------------------------------ 5.90/1.11 % (6537)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.90/1.11 % (6537)Termination reason: Unknown 5.90/1.11 % (6537)Termination phase: Saturation 5.90/1.11 5.90/1.11 % (6537)Memory used [KB]: 6396 5.90/1.11 % (6537)Time elapsed: 0.083 s 5.90/1.11 % (6537)Instructions burned: 281 (million) 5.90/1.11 % (6537)------------------------------ 5.90/1.11 % (6537)------------------------------ 5.90/1.11 % (6589)lrs+1002_1:1_anc=all:cbe=off:cnfonf=lazy_not_gen_be_off:fe=off:hud=5:nwc=10.0:plsq=on:plsqr=32,1:prag=on:sp=unary_first:i=202:si=on:rtra=on_0 on Vampire---4 for (1792ds/202Mi) 5.90/1.12 % (6575)Instruction limit reached! 5.90/1.12 % (6575)------------------------------ 5.90/1.12 % (6575)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.90/1.12 % (6575)Termination reason: Unknown 5.90/1.12 % (6575)Termination phase: Saturation 5.90/1.12 5.90/1.12 % (6575)Memory used [KB]: 6012 5.90/1.12 % (6575)Time elapsed: 0.027 s 5.90/1.12 % (6575)Instructions burned: 83 (million) 5.90/1.12 % (6575)------------------------------ 5.90/1.12 % (6575)------------------------------ 5.90/1.12 % (6504)Instruction limit reached! 5.90/1.12 % (6504)------------------------------ 5.90/1.12 % (6504)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.90/1.12 % (6504)Termination reason: Unknown 5.90/1.12 % (6504)Termination phase: Saturation 5.90/1.12 5.90/1.12 % (6504)Memory used [KB]: 7291 5.90/1.12 % (6504)Time elapsed: 0.183 s 5.90/1.12 % (6504)Instructions burned: 572 (million) 5.90/1.12 % (6504)------------------------------ 5.90/1.12 % (6504)------------------------------ 6.20/1.12 % (6591)lrs+1010_1:1_cbe=off:cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=148:si=on:rtra=on_0 on Vampire---4 for (1792ds/148Mi) 6.20/1.13 % (6594)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on Vampire---4 for (1792ds/104Mi) 6.20/1.13 % (6527)Instruction limit reached! 6.20/1.13 % (6527)------------------------------ 6.20/1.13 % (6527)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.20/1.13 % (6527)Termination reason: Unknown 6.20/1.13 % (6527)Termination phase: Saturation 6.20/1.13 6.20/1.13 % (6527)Memory used [KB]: 7036 6.20/1.13 % (6527)Time elapsed: 0.122 s 6.20/1.13 % (6527)Instructions burned: 393 (million) 6.20/1.13 % (6527)------------------------------ 6.20/1.13 % (6527)------------------------------ 6.20/1.13 % (6562)Instruction limit reached! 6.20/1.13 % (6562)------------------------------ 6.20/1.13 % (6562)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.20/1.13 % (6562)Termination reason: Unknown 6.20/1.13 % (6562)Termination phase: Saturation 6.20/1.13 6.20/1.13 % (6562)Memory used [KB]: 5756 6.20/1.13 % (6562)Time elapsed: 0.054 s 6.20/1.13 % (6562)Instructions burned: 183 (million) 6.20/1.13 % (6562)------------------------------ 6.20/1.13 % (6562)------------------------------ 6.20/1.13 % (6596)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (1792ds/6Mi) 6.20/1.14 % (6596)Instruction limit reached! 6.20/1.14 % (6596)------------------------------ 6.20/1.14 % (6596)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.20/1.14 % (6596)Termination reason: Unknown 6.20/1.14 % (6596)Termination phase: Clausification 6.20/1.14 6.20/1.14 % (6596)Memory used [KB]: 1151 6.20/1.14 % (6596)Time elapsed: 0.003 s 6.20/1.14 % (6596)Instructions burned: 6 (million) 6.20/1.14 % (6596)------------------------------ 6.20/1.14 % (6596)------------------------------ 6.20/1.14 % (6597)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1200:si=on:rtra=on_0 on Vampire---4 for (1792ds/1200Mi) 6.20/1.14 % (6598)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on Vampire---4 for (1792ds/90Mi) 6.34/1.16 % (6594)Instruction limit reached! 6.34/1.16 % (6594)------------------------------ 6.34/1.16 % (6594)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.34/1.16 % (6594)Termination reason: Unknown 6.34/1.16 % (6594)Termination phase: Saturation 6.34/1.16 6.34/1.16 % (6594)Memory used [KB]: 6268 6.34/1.16 % (6594)Time elapsed: 0.033 s 6.34/1.16 % (6594)Instructions burned: 104 (million) 6.34/1.16 % (6594)------------------------------ 6.34/1.16 % (6594)------------------------------ 6.34/1.16 % (6574)Instruction limit reached! 6.34/1.16 % (6574)------------------------------ 6.34/1.16 % (6574)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.34/1.16 % (6574)Termination reason: Unknown 6.34/1.16 % (6574)Termination phase: Saturation 6.34/1.16 6.34/1.16 % (6574)Memory used [KB]: 2046 6.34/1.16 % (6574)Time elapsed: 0.070 s 6.34/1.16 % (6574)Instructions burned: 230 (million) 6.34/1.16 % (6574)------------------------------ 6.34/1.16 % (6574)------------------------------ 6.34/1.16 % (6546)Instruction limit reached! 6.34/1.16 % (6546)------------------------------ 6.34/1.16 % (6546)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.34/1.16 % (6546)Termination reason: Unknown 6.34/1.16 % (6546)Termination phase: Saturation 6.34/1.16 6.34/1.16 % (6546)Memory used [KB]: 6652 6.34/1.16 % (6546)Time elapsed: 0.125 s 6.34/1.16 % (6546)Instructions burned: 423 (million) 6.34/1.16 % (6546)------------------------------ 6.34/1.16 % (6546)------------------------------ 6.34/1.16 % (6599)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on Vampire---4 for (1791ds/164Mi) 6.34/1.17 % (6591)Instruction limit reached! 6.34/1.17 % (6591)------------------------------ 6.34/1.17 % (6591)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.34/1.17 % (6591)Termination reason: Unknown 6.34/1.17 % (6591)Termination phase: Saturation 6.34/1.17 6.34/1.17 % (6591)Memory used [KB]: 5756 6.34/1.17 % (6591)Time elapsed: 0.043 s 6.34/1.17 % (6591)Instructions burned: 151 (million) 6.34/1.17 % (6591)------------------------------ 6.34/1.17 % (6591)------------------------------ 6.34/1.17 % (6600)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=392:si=on:rtra=on_0 on Vampire---4 for (1791ds/392Mi) 6.34/1.17 % (6601)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on Vampire---4 for (1791ds/279Mi) 6.34/1.17 % (6598)Instruction limit reached! 6.34/1.17 % (6598)------------------------------ 6.34/1.17 % (6598)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.34/1.17 % (6598)Termination reason: Unknown 6.34/1.17 % (6598)Termination phase: Saturation 6.34/1.17 6.34/1.17 % (6598)Memory used [KB]: 6012 6.34/1.17 % (6598)Time elapsed: 0.029 s 6.34/1.17 % (6598)Instructions burned: 90 (million) 6.34/1.17 % (6598)------------------------------ 6.34/1.17 % (6598)------------------------------ 6.34/1.17 % (6589)Instruction limit reached! 6.34/1.17 % (6589)------------------------------ 6.34/1.17 % (6589)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.34/1.17 % (6589)Termination reason: Unknown 6.34/1.17 % (6589)Termination phase: Saturation 6.34/1.17 6.34/1.17 % (6589)Memory used [KB]: 5884 6.34/1.17 % (6589)Time elapsed: 0.060 s 6.34/1.17 % (6589)Instructions burned: 202 (million) 6.34/1.17 % (6589)------------------------------ 6.34/1.17 % (6589)------------------------------ 6.34/1.17 % (6602)lrs+1010_1:128_au=on:av=off:bd=preordered:bs=on:chr=on:cnfonf=lazy_not_gen:ntd=on:piset=and:i=59:si=on:rtra=on_0 on Vampire---4 for (1791ds/59Mi) 6.34/1.18 % (6603)lrs+10_1:1_au=on:sd=1:sgt=32:sos=on:ss=axioms:i=141:si=on:rtra=on_0 on Vampire---4 for (1791ds/141Mi) 6.34/1.18 % (6604)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=389:si=on:rtra=on_0 on Vampire---4 for (1791ds/389Mi) 6.34/1.19 % (6602)Instruction limit reached! 6.34/1.19 % (6602)------------------------------ 6.34/1.19 % (6602)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.34/1.19 % (6602)Termination reason: Unknown 6.34/1.19 % (6602)Termination phase: Saturation 6.34/1.19 6.34/1.19 % (6602)Memory used [KB]: 1279 6.34/1.19 % (6602)Time elapsed: 0.016 s 6.34/1.19 % (6602)Instructions burned: 61 (million) 6.34/1.19 % (6602)------------------------------ 6.34/1.19 % (6602)------------------------------ 6.34/1.20 % (6605)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on Vampire---4 for (1791ds/593Mi) 6.34/1.22 % (6599)Instruction limit reached! 6.34/1.22 % (6599)------------------------------ 6.34/1.22 % (6599)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.34/1.22 % (6599)Termination reason: Unknown 6.34/1.22 % (6599)Termination phase: Saturation 6.34/1.22 6.34/1.22 % (6599)Memory used [KB]: 1663 6.34/1.22 % (6599)Time elapsed: 0.053 s 6.34/1.22 % (6599)Instructions burned: 166 (million) 6.34/1.22 % (6599)------------------------------ 6.34/1.22 % (6599)------------------------------ 6.34/1.22 % (6603)Instruction limit reached! 6.34/1.22 % (6603)------------------------------ 6.34/1.22 % (6603)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.34/1.22 % (6603)Termination reason: Unknown 6.34/1.22 % (6603)Termination phase: Saturation 6.34/1.22 6.34/1.22 % (6603)Memory used [KB]: 6140 6.34/1.22 % (6603)Time elapsed: 0.044 s 6.34/1.22 % (6603)Instructions burned: 141 (million) 6.34/1.22 % (6603)------------------------------ 6.34/1.22 % (6603)------------------------------ 6.34/1.22 % (6606)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=4759:si=on:rtra=on_0 on Vampire---4 for (1791ds/4759Mi) 6.82/1.23 % (6607)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on Vampire---4 for (1791ds/906Mi) 6.82/1.25 % (6601)Instruction limit reached! 6.82/1.25 % (6601)------------------------------ 6.82/1.25 % (6601)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.82/1.25 % (6601)Termination reason: Unknown 6.82/1.25 % (6601)Termination phase: Saturation 6.82/1.25 6.82/1.25 % (6601)Memory used [KB]: 6140 6.82/1.25 % (6601)Time elapsed: 0.081 s 6.82/1.25 % (6601)Instructions burned: 279 (million) 6.82/1.25 % (6601)------------------------------ 6.82/1.25 % (6601)------------------------------ 6.82/1.26 % (6608)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on Vampire---4 for (1791ds/668Mi) 6.96/1.28 % (6600)Instruction limit reached! 6.96/1.28 % (6600)------------------------------ 6.96/1.28 % (6600)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.96/1.28 % (6600)Termination reason: Unknown 6.96/1.28 % (6600)Termination phase: Saturation 6.96/1.28 6.96/1.28 % (6600)Memory used [KB]: 6524 6.96/1.28 % (6600)Time elapsed: 0.118 s 6.96/1.28 % (6600)Instructions burned: 393 (million) 6.96/1.28 % (6600)------------------------------ 6.96/1.28 % (6600)------------------------------ 6.96/1.29 % (6609)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on Vampire---4 for (1790ds/1670Mi) 6.96/1.30 % (6539)Instruction limit reached! 6.96/1.30 % (6539)------------------------------ 6.96/1.30 % (6539)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.96/1.30 % (6539)Termination reason: Unknown 6.96/1.30 % (6539)Termination phase: Saturation 6.96/1.30 6.96/1.30 % (6539)Memory used [KB]: 7291 6.96/1.30 % (6539)Time elapsed: 0.271 s 6.96/1.30 % (6539)Instructions burned: 940 (million) 6.96/1.30 % (6539)------------------------------ 6.96/1.30 % (6539)------------------------------ 6.96/1.30 % (6610)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on Vampire---4 for (1790ds/794Mi) 6.96/1.30 % (6604)Instruction limit reached! 6.96/1.30 % (6604)------------------------------ 6.96/1.30 % (6604)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.96/1.30 % (6604)Termination reason: Unknown 6.96/1.31 % (6604)Termination phase: Saturation 6.96/1.31 6.96/1.31 % (6604)Memory used [KB]: 6268 6.96/1.31 % (6604)Time elapsed: 0.127 s 6.96/1.31 % (6604)Instructions burned: 391 (million) 6.96/1.31 % (6604)------------------------------ 6.96/1.31 % (6604)------------------------------ 6.96/1.31 % (6611)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on Vampire---4 for (1790ds/294Mi) 7.24/1.37 % (6605)Instruction limit reached! 7.24/1.37 % (6605)------------------------------ 7.24/1.37 % (6605)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.24/1.37 % (6605)Termination reason: Unknown 7.24/1.37 % (6605)Termination phase: Saturation 7.24/1.37 7.24/1.37 % (6605)Memory used [KB]: 7675 7.24/1.37 % (6605)Time elapsed: 0.179 s 7.24/1.37 % (6605)Instructions burned: 593 (million) 7.24/1.37 % (6605)------------------------------ 7.24/1.37 % (6605)------------------------------ 7.24/1.38 % (6612)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=970:si=on:rtra=on_0 on Vampire---4 for (1789ds/970Mi) 7.24/1.40 % (6611)Instruction limit reached! 7.24/1.40 % (6611)------------------------------ 7.24/1.40 % (6611)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.24/1.40 % (6611)Termination reason: Unknown 7.24/1.40 % (6611)Termination phase: Saturation 7.24/1.40 7.24/1.40 % (6611)Memory used [KB]: 6012 7.24/1.40 % (6611)Time elapsed: 0.087 s 7.24/1.40 % (6611)Instructions burned: 294 (million) 7.24/1.40 % (6611)------------------------------ 7.24/1.40 % (6611)------------------------------ 7.24/1.41 % (6613)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=383:si=on:rtra=on_0 on Vampire---4 for (1789ds/383Mi) 7.52/1.46 % (6608)Instruction limit reached! 7.52/1.46 % (6608)------------------------------ 7.52/1.46 % (6608)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.52/1.46 % (6608)Termination reason: Unknown 7.52/1.46 % (6608)Termination phase: Saturation 7.52/1.46 7.52/1.46 % (6608)Memory used [KB]: 10746 7.52/1.46 % (6608)Time elapsed: 0.203 s 7.52/1.46 % (6608)Instructions burned: 670 (million) 7.52/1.46 % (6608)------------------------------ 7.52/1.46 % (6608)------------------------------ 7.52/1.47 % (6614)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on Vampire---4 for (1789ds/961Mi) 7.52/1.51 % (6597)Instruction limit reached! 7.52/1.51 % (6597)------------------------------ 7.52/1.51 % (6597)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.52/1.51 % (6597)Termination reason: Unknown 7.52/1.51 % (6597)Termination phase: Saturation 7.52/1.51 7.52/1.51 % (6597)Memory used [KB]: 8827 7.52/1.51 % (6597)Time elapsed: 0.371 s 7.52/1.51 % (6597)Instructions burned: 1202 (million) 7.52/1.51 % (6597)------------------------------ 7.52/1.51 % (6597)------------------------------ 7.52/1.51 % (6615)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=1083:si=on:rtra=on_0 on Vampire---4 for (1788ds/1083Mi) 7.52/1.52 % (6613)Instruction limit reached! 7.52/1.52 % (6613)------------------------------ 7.52/1.52 % (6613)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.52/1.52 % (6613)Termination reason: Unknown 7.52/1.52 % (6613)Termination phase: Saturation 7.52/1.52 7.52/1.52 % (6613)Memory used [KB]: 7036 7.52/1.52 % (6613)Time elapsed: 0.113 s 7.52/1.52 % (6613)Instructions burned: 383 (million) 7.52/1.52 % (6613)------------------------------ 7.52/1.52 % (6613)------------------------------ 7.52/1.52 % (6607)Instruction limit reached! 7.52/1.52 % (6607)------------------------------ 7.52/1.52 % (6607)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.52/1.52 % (6607)Termination reason: Unknown 7.52/1.52 % (6607)Termination phase: Saturation 7.52/1.52 7.52/1.52 % (6607)Memory used [KB]: 12665 7.52/1.52 % (6607)Time elapsed: 0.296 s 7.52/1.52 % (6607)Instructions burned: 906 (million) 7.52/1.52 % (6607)------------------------------ 7.52/1.52 % (6607)------------------------------ 7.52/1.53 % (6616)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=1398:si=on:rtra=on_0 on Vampire---4 for (1788ds/1398Mi) 8.53/1.53 % (6617)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on Vampire---4 for (1788ds/562Mi) 8.53/1.54 % (6610)Instruction limit reached! 8.53/1.54 % (6610)------------------------------ 8.53/1.54 % (6610)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 8.53/1.54 % (6610)Termination reason: Unknown 8.53/1.54 % (6610)Termination phase: Saturation 8.53/1.54 8.53/1.54 % (6610)Memory used [KB]: 5373 8.53/1.54 % (6610)Time elapsed: 0.235 s 8.53/1.54 % (6610)Instructions burned: 795 (million) 8.53/1.54 % (6610)------------------------------ 8.53/1.54 % (6610)------------------------------ 8.53/1.55 % (6618)lrs+1010_1:2_au=on:e2e=on:sd=3:ss=axioms:st=3.0:i=1208:si=on:rtra=on_0 on Vampire---4 for (1788ds/1208Mi) 10.69/1.68 % (6612)Instruction limit reached! 10.69/1.68 % (6612)------------------------------ 10.69/1.68 % (6612)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 10.69/1.68 % (6612)Termination reason: Unknown 10.69/1.68 % (6612)Termination phase: Saturation 10.69/1.68 10.69/1.68 % (6612)Memory used [KB]: 6396 10.69/1.68 % (6612)Time elapsed: 0.298 s 10.69/1.68 % (6612)Instructions burned: 971 (million) 10.69/1.68 % (6612)------------------------------ 10.69/1.68 % (6612)------------------------------ 10.69/1.69 % (6619)lrs+1010_1:7_bd=off:cnfonf=lazy_not_be_gen:fe=off:hud=10:tnu=1:i=348:si=on:rtra=on_0 on Vampire---4 for (1786ds/348Mi) 10.69/1.71 % (6617)Instruction limit reached! 10.69/1.71 % (6617)------------------------------ 10.69/1.71 % (6617)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 10.69/1.71 % (6617)Termination reason: Unknown 10.69/1.71 % (6617)Termination phase: Saturation 10.69/1.71 10.69/1.71 % (6617)Memory used [KB]: 7419 10.69/1.71 % (6617)Time elapsed: 0.178 s 10.69/1.71 % (6617)Instructions burned: 562 (million) 10.69/1.71 % (6617)------------------------------ 10.69/1.71 % (6617)------------------------------ 10.69/1.72 % (6620)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on Vampire---4 for (1786ds/343Mi) 11.10/1.75 % (6609)Instruction limit reached! 11.10/1.75 % (6609)------------------------------ 11.10/1.75 % (6609)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.10/1.75 % (6609)Termination reason: Unknown 11.10/1.75 % (6609)Termination phase: Saturation 11.10/1.75 11.10/1.75 % (6609)Memory used [KB]: 6652 11.10/1.75 % (6609)Time elapsed: 0.460 s 11.10/1.75 % (6609)Instructions burned: 1673 (million) 11.10/1.75 % (6609)------------------------------ 11.10/1.75 % (6609)------------------------------ 11.22/1.76 % (6621)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1655:si=on:rtra=on_0 on Vampire---4 for (1786ds/1655Mi) 11.22/1.76 % (6614)Instruction limit reached! 11.22/1.76 % (6614)------------------------------ 11.22/1.76 % (6614)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.22/1.76 % (6614)Termination reason: Unknown 11.22/1.76 % (6614)Termination phase: Saturation 11.22/1.76 11.22/1.76 % (6614)Memory used [KB]: 7803 11.22/1.76 % (6614)Time elapsed: 0.297 s 11.22/1.76 % (6614)Instructions burned: 963 (million) 11.22/1.76 % (6614)------------------------------ 11.22/1.76 % (6614)------------------------------ 11.22/1.77 % (6622)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on Vampire---4 for (1786ds/6454Mi) 11.22/1.79 % (6619)Instruction limit reached! 11.22/1.79 % (6619)------------------------------ 11.22/1.79 % (6619)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.22/1.79 % (6619)Termination reason: Unknown 11.22/1.79 % (6619)Termination phase: Saturation 11.22/1.79 11.22/1.79 % (6619)Memory used [KB]: 6012 11.22/1.80 % (6619)Time elapsed: 0.105 s 11.22/1.80 % (6619)Instructions burned: 350 (million) 11.22/1.80 % (6619)------------------------------ 11.22/1.80 % (6619)------------------------------ 11.22/1.80 % (6623)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on Vampire---4 for (1785ds/1539Mi) 11.60/1.82 % (6620)Instruction limit reached! 11.60/1.82 % (6620)------------------------------ 11.60/1.82 % (6620)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.60/1.82 % (6620)Termination reason: Unknown 11.60/1.82 % (6620)Termination phase: Saturation 11.60/1.82 11.60/1.82 % (6620)Memory used [KB]: 6652 11.60/1.82 % (6620)Time elapsed: 0.128 s 11.60/1.82 % (6620)Instructions burned: 344 (million) 11.60/1.82 % (6620)------------------------------ 11.60/1.82 % (6620)------------------------------ 11.60/1.83 % (6624)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on Vampire---4 for (1785ds/501Mi) 11.60/1.83 % (6615)Instruction limit reached! 11.60/1.83 % (6615)------------------------------ 11.60/1.83 % (6615)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.60/1.83 % (6615)Termination reason: Unknown 11.60/1.83 % (6615)Termination phase: Saturation 11.60/1.83 11.60/1.83 % (6615)Memory used [KB]: 9210 11.60/1.83 % (6615)Time elapsed: 0.320 s 11.60/1.83 % (6615)Instructions burned: 1086 (million) 11.60/1.83 % (6615)------------------------------ 11.60/1.83 % (6615)------------------------------ 11.60/1.84 % (6625)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=277:si=on:rtra=on_0 on Vampire---4 for (1785ds/277Mi) 11.86/1.90 % (6618)Refutation not found, non-redundant clauses discarded% (6618)------------------------------ 11.86/1.90 % (6618)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.86/1.90 % (6618)Termination reason: Refutation not found, non-redundant clauses discarded 11.86/1.90 11.86/1.90 % (6618)Memory used [KB]: 8187 11.86/1.90 % (6618)Time elapsed: 0.380 s 11.86/1.90 % (6618)Instructions burned: 1152 (million) 11.86/1.90 % (6618)------------------------------ 11.86/1.90 % (6618)------------------------------ 11.86/1.91 % (6626)lrs+21_1:1_cha=on:cnfonf=off:hud=10:kws=inv_frequency:lcm=predicate:sgt=32:sos=on:sp=occurrence:ss=axioms:i=136:si=on:rtra=on_0 on Vampire---4 for (1784ds/136Mi) 11.86/1.92 % (6625)Instruction limit reached! 11.86/1.92 % (6625)------------------------------ 11.86/1.92 % (6625)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.86/1.92 % (6625)Termination reason: Unknown 11.86/1.92 % (6625)Termination phase: Saturation 11.86/1.92 11.86/1.92 % (6625)Memory used [KB]: 7547 11.86/1.92 % (6625)Time elapsed: 0.106 s 11.86/1.92 % (6625)Instructions burned: 277 (million) 11.86/1.92 % (6625)------------------------------ 11.86/1.92 % (6625)------------------------------ 11.86/1.93 % (6627)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on Vampire---4 for (1784ds/401Mi) 12.16/1.95 % (6616)Instruction limit reached! 12.16/1.95 % (6616)------------------------------ 12.16/1.95 % (6616)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 12.16/1.95 % (6616)Termination reason: Unknown 12.16/1.95 % (6616)Termination phase: Saturation 12.16/1.95 12.16/1.95 % (6616)Memory used [KB]: 8187 12.16/1.95 % (6616)Time elapsed: 0.425 s 12.16/1.95 % (6616)Instructions burned: 1399 (million) 12.16/1.95 % (6616)------------------------------ 12.16/1.95 % (6616)------------------------------ 12.16/1.95 % (6626)Instruction limit reached! 12.16/1.95 % (6626)------------------------------ 12.16/1.95 % (6626)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 12.16/1.95 % (6626)Termination reason: Unknown 12.16/1.95 % (6626)Termination phase: Saturation 12.16/1.95 12.16/1.95 % (6626)Memory used [KB]: 6396 12.16/1.95 % (6626)Time elapsed: 0.067 s 12.16/1.95 % (6626)Instructions burned: 139 (million) 12.16/1.95 % (6626)------------------------------ 12.16/1.95 % (6626)------------------------------ 12.16/1.96 % (6628)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=4810:si=on:rtra=on_0 on Vampire---4 for (1784ds/4810Mi) 12.16/1.96 % (6629)lrs+1002_1:128_atotf=0.1:au=on:cbe=off:ntd=on:sp=const_frequency:i=2020:si=on:rtra=on_0 on Vampire---4 for (1783ds/2020Mi) 12.16/1.97 % (6624)Instruction limit reached! 12.16/1.97 % (6624)------------------------------ 12.16/1.97 % (6624)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 12.16/1.97 % (6624)Termination reason: Unknown 12.16/1.97 % (6624)Termination phase: Saturation 12.16/1.97 12.16/1.97 % (6624)Memory used [KB]: 6908 12.16/1.97 % (6624)Time elapsed: 0.170 s 12.16/1.97 % (6624)Instructions burned: 501 (million) 12.16/1.97 % (6624)------------------------------ 12.16/1.97 % (6624)------------------------------ 12.27/1.98 % (6630)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=375:si=on:rtra=on_0 on Vampire---4 for (1783ds/375Mi) 12.47/2.05 % (6627)Instruction limit reached! 12.47/2.05 % (6627)------------------------------ 12.47/2.05 % (6627)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 12.47/2.05 % (6627)Termination reason: Unknown 12.47/2.05 % (6627)Termination phase: Saturation 12.47/2.05 12.47/2.05 % (6627)Memory used [KB]: 6524 12.47/2.05 % (6627)Time elapsed: 0.120 s 12.47/2.05 % (6627)Instructions burned: 404 (million) 12.47/2.05 % (6627)------------------------------ 12.47/2.05 % (6627)------------------------------ 12.47/2.05 % (6628)First to succeed. 12.62/2.05 % (6631)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on Vampire---4 for (1783ds/8250Mi) 12.62/2.06 % (6628)Refutation found. Thanks to Tanya! 12.62/2.06 % SZS status Theorem for Vampire---4 12.62/2.06 % SZS output start Proof for Vampire---4 12.62/2.06 thf(type_def_5, type, a: $tType). 12.62/2.06 thf(func_def_0, type, a: $tType). 12.62/2.06 thf(func_def_21, type, ph1: !>[X0: $tType]:(X0)). 12.62/2.06 thf(func_def_22, type, sK2: a > a > $o). 12.62/2.06 thf(func_def_23, type, sK3: a). 12.62/2.06 thf(func_def_24, type, sK4: a). 12.62/2.06 thf(func_def_25, type, sK5: a > a > $o). 12.62/2.06 thf(func_def_26, type, sK6: a > $o). 12.62/2.06 thf(func_def_27, type, sK7: a). 12.62/2.06 thf(func_def_28, type, sK8: a). 12.62/2.06 thf(func_def_29, type, sK9: a). 12.62/2.06 thf(func_def_30, type, sK10: a). 12.62/2.06 thf(func_def_31, type, sK11: a). 12.62/2.06 thf(func_def_32, type, sK12: a > $o). 12.62/2.06 thf(func_def_33, type, sK13: a). 12.62/2.06 thf(func_def_34, type, sK14: a). 12.62/2.06 thf(func_def_35, type, sK15: a). 12.62/2.06 thf(func_def_36, type, sK16: a > $o). 12.62/2.06 thf(func_def_37, type, sK17: a). 12.62/2.06 thf(func_def_38, type, sK18: a). 12.62/2.06 thf(func_def_39, type, sK19: a). 12.62/2.06 thf(func_def_40, type, sK20: a). 12.62/2.06 thf(func_def_41, type, sK21: a). 12.62/2.06 thf(func_def_42, type, sK22: a). 12.62/2.06 thf(func_def_43, type, sK23: a). 12.62/2.06 thf(func_def_44, type, sK24: a). 12.62/2.06 thf(func_def_45, type, sK25: a). 12.62/2.06 thf(func_def_46, type, sK26: a). 12.62/2.06 thf(func_def_47, type, sK27: a). 12.62/2.06 thf(func_def_48, type, sK28: a). 12.62/2.06 thf(func_def_49, type, sK29: a). 12.62/2.06 thf(func_def_50, type, sK30: a). 12.62/2.06 thf(func_def_51, type, sK31: a). 12.62/2.06 thf(func_def_52, type, sK32: a). 12.62/2.06 thf(f1784,plain,( 12.62/2.06 $false), 12.62/2.06 inference(avatar_sat_refutation,[],[f52,f139,f193,f221,f231,f272,f355,f498,f626,f765,f778,f791,f821,f929,f1206,f1302,f1325,f1609,f1696,f1719,f1783])). 12.62/2.06 thf(f1783,plain,( 12.62/2.06 ~spl0_4 | ~spl0_8), 12.62/2.06 inference(avatar_contradiction_clause,[],[f1782])). 12.62/2.06 thf(f1782,plain,( 12.62/2.06 $false | (~spl0_4 | ~spl0_8)), 12.62/2.06 inference(trivial_inequality_removal,[],[f1781])). 12.62/2.06 thf(f1781,plain,( 12.62/2.06 ($true = $false) | (~spl0_4 | ~spl0_8)), 12.62/2.06 inference(backward_demodulation,[],[f1736,f1780])). 12.62/2.06 thf(f1780,plain,( 12.62/2.06 ($false = (sK6 @ sK9)) | (~spl0_4 | ~spl0_8)), 12.62/2.06 inference(boolean_simplification,[],[f1779])). 12.62/2.06 thf(f1779,plain,( 12.62/2.06 (($true => (sK6 @ sK9)) = $false) | (~spl0_4 | ~spl0_8)), 12.62/2.06 inference(boolean_simplification,[],[f1778])). 12.62/2.06 thf(f1778,plain,( 12.62/2.06 ($false = (((sK5 @ sK3 @ sK9) | $true) => (sK6 @ sK9))) | (~spl0_4 | ~spl0_8)), 12.62/2.06 inference(forward_demodulation,[],[f1775,f220])). 12.62/2.06 thf(f220,plain,( 12.62/2.06 ($true = (sK2 @ sK3 @ sK9)) | ~spl0_8), 12.62/2.06 inference(avatar_component_clause,[],[f219])). 12.62/2.06 thf(f219,plain,( 12.62/2.06 spl0_8 <=> ($true = (sK2 @ sK3 @ sK9))), 12.62/2.06 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 12.62/2.06 thf(f1775,plain,( 12.62/2.06 ($false = (((sK5 @ sK3 @ sK9) | (sK2 @ sK3 @ sK9)) => (sK6 @ sK9))) | ~spl0_4), 12.62/2.06 inference(beta_eta_normalization,[],[f1773])). 12.62/2.06 thf(f1773,plain,( 12.62/2.06 ($false = ((^[Y0 : a]: (((sK5 @ sK3 @ Y0) | (sK2 @ sK3 @ Y0)) => (sK6 @ Y0))) @ sK9)) | ~spl0_4), 12.62/2.06 inference(sigma_clausification,[],[f138])). 12.62/2.06 thf(f138,plain,( 12.62/2.06 ($false = (!! @ a @ (^[Y0 : a]: (((sK5 @ sK3 @ Y0) | (sK2 @ sK3 @ Y0)) => (sK6 @ Y0))))) | ~spl0_4), 12.62/2.06 inference(avatar_component_clause,[],[f137])). 12.62/2.06 thf(f137,plain,( 12.62/2.06 spl0_4 <=> ($false = (!! @ a @ (^[Y0 : a]: (((sK5 @ sK3 @ Y0) | (sK2 @ sK3 @ Y0)) => (sK6 @ Y0)))))), 12.62/2.06 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 12.62/2.06 thf(f1736,plain,( 12.62/2.06 ($true = (sK6 @ sK9)) | ~spl0_8), 12.62/2.06 inference(trivial_inequality_removal,[],[f1724])). 12.62/2.06 thf(f1724,plain,( 12.62/2.06 ($true = $false) | ($true = (sK6 @ sK9)) | ~spl0_8), 12.62/2.06 inference(superposition,[],[f220,f384])). 12.62/2.06 thf(f384,plain,( 12.62/2.06 ( ! [X1 : a] : (($false = (sK2 @ sK3 @ X1)) | ($true = (sK6 @ X1))) )), 12.62/2.06 inference(binary_proxy_clausification,[],[f36])). 12.62/2.06 thf(f36,plain,( 12.62/2.06 ( ! [X1 : a] : (($false = ((sK2 @ sK3 @ X1) | (sK5 @ sK3 @ X1))) | ($true = (sK6 @ X1))) )), 12.62/2.06 inference(binary_proxy_clausification,[],[f35])). 12.62/2.06 thf(f35,plain,( 12.62/2.06 ( ! [X1 : a] : (($true = (((sK2 @ sK3 @ X1) | (sK5 @ sK3 @ X1)) => (sK6 @ X1)))) )), 12.62/2.06 inference(beta_eta_normalization,[],[f34])). 12.62/2.06 thf(f34,plain,( 12.62/2.06 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (((sK2 @ sK3 @ Y0) | (sK5 @ sK3 @ Y0)) => (sK6 @ Y0))) @ X1))) )), 12.62/2.06 inference(pi_clausification,[],[f33])). 12.62/2.06 thf(f33,plain,( 12.62/2.06 ($true = (!! @ a @ (^[Y0 : a]: (((sK2 @ sK3 @ Y0) | (sK5 @ sK3 @ Y0)) => (sK6 @ Y0)))))), 12.62/2.06 inference(boolean_simplification,[],[f32])). 12.62/2.06 thf(f32,plain,( 12.62/2.06 ($true = ($true & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK3 @ Y0) | (sK5 @ sK3 @ Y0)) => (sK6 @ Y0))))))), 12.62/2.06 inference(backward_demodulation,[],[f25,f31])). 12.62/2.06 thf(f31,plain,( 12.62/2.06 ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & ((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (sK6 @ Y1)))))))), 12.62/2.06 inference(binary_proxy_clausification,[],[f25])). 12.62/2.06 thf(f25,plain,( 12.62/2.06 ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & ((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (sK6 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK3 @ Y0) | (sK5 @ sK3 @ Y0)) => (sK6 @ Y0))))))), 12.62/2.06 inference(binary_proxy_clausification,[],[f23])). 12.62/2.06 thf(f23,plain,( 12.62/2.06 ($false = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & ((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (sK6 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK3 @ Y0) | (sK5 @ sK3 @ Y0)) => (sK6 @ Y0))))) => (sK6 @ sK4)))), 12.62/2.06 inference(beta_eta_normalization,[],[f22])). 12.62/2.06 thf(f22,plain,( 12.62/2.06 (((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK3 @ Y1) | (sK5 @ sK3 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK4))) @ sK6) = $false)), 12.62/2.06 inference(sigma_clausification,[],[f21])). 12.62/2.06 thf(f21,plain,( 12.62/2.06 ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK3 @ Y1) | (sK5 @ sK3 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK4)))))), 12.62/2.06 inference(boolean_simplification,[],[f20])). 12.62/2.06 thf(f20,plain,( 12.62/2.06 (($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]: (((sK2 @ sK3 @ Y1) | (sK5 @ sK3 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK4))))) = $false)), 12.62/2.06 inference(backward_demodulation,[],[f17,f19])). 12.62/2.06 thf(f19,plain,( 12.62/2.06 ($false = (~ (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ 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]: (((sK2 @ Y1 @ Y3) | (sK5 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0))))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4)) & (Y3 @ Y5)) => (Y3 @ Y4))))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK2 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK5 @ Y4 @ Y5) | (sK2 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2)))))))))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK3 @ Y1) | (sK2 @ sK3 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK4)))))))), 12.62/2.06 inference(binary_proxy_clausification,[],[f17])). 12.62/2.06 thf(f17,plain,( 12.62/2.06 ($false = ((~ (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ 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]: (((sK2 @ Y1 @ Y3) | (sK5 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0))))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4)) & (Y3 @ Y5)) => (Y3 @ Y4))))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK2 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK5 @ Y4 @ Y5) | (sK2 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2)))))))))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK3 @ Y1) | (sK2 @ sK3 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK4)))))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK3 @ Y1) | (sK5 @ sK3 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK4))))))), 12.62/2.06 inference(beta_eta_normalization,[],[f16])). 12.62/2.06 thf(f16,plain,( 12.62/2.06 ($false = ((^[Y0 : a > a > $o]: ((~ (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((Y0 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y0 @ Y5 @ Y4) & (Y3 @ Y5)) => (Y3 @ Y4))))))) => (Y3 @ Y1)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK2 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & (sK2 @ Y5 @ Y4)) => (Y3 @ Y4))))))) => (Y3 @ Y1))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (Y0 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK2 @ Y2 @ Y4) | (Y0 @ Y2 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y0 @ Y1 @ Y5) | (sK2 @ Y1 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y0 @ Y6 @ Y5) | (sK2 @ Y6 @ Y5)) & (Y4 @ Y6)) => (Y4 @ Y5))))))) => (Y4 @ Y2)))) & (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y0 @ Y2 @ Y5) | (sK2 @ Y2 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((sK2 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y3))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & ((Y0 @ Y5 @ Y6) | (sK2 @ Y5 @ Y6))) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y0 @ Y1 @ Y5) | (sK2 @ Y1 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y3)))))))))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((Y0 @ sK3 @ Y2) | (sK2 @ sK3 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK2 @ Y2 @ Y3) | (Y0 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK4)))))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & ((sK2 @ Y2 @ Y3) | (Y0 @ Y2 @ Y3))) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK2 @ sK3 @ Y2) | (Y0 @ sK3 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK4)))))) @ sK5))), 12.62/2.06 inference(sigma_clausification,[],[f15])). 12.62/2.06 thf(f15,plain,( 12.62/2.06 ((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: ((~ (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((Y0 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y0 @ Y5 @ Y4) & (Y3 @ Y5)) => (Y3 @ Y4))))))) => (Y3 @ Y1)))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((sK2 @ Y2 @ Y4) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y5) & (sK2 @ Y5 @ Y4)) => (Y3 @ Y4))))))) => (Y3 @ Y1))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (Y0 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK2 @ Y2 @ Y4) | (Y0 @ Y2 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y0 @ Y1 @ Y5) | (sK2 @ Y1 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y0 @ Y6 @ Y5) | (sK2 @ Y6 @ Y5)) & (Y4 @ Y6)) => (Y4 @ Y5))))))) => (Y4 @ Y2)))) & (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y0 @ Y2 @ Y5) | (sK2 @ Y2 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((sK2 @ Y5 @ Y6) | (Y0 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y3))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & ((Y0 @ Y5 @ Y6) | (sK2 @ Y5 @ Y6))) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y0 @ Y1 @ Y5) | (sK2 @ Y1 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y3)))))))))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((Y0 @ sK3 @ Y2) | (sK2 @ sK3 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK2 @ Y2 @ Y3) | (Y0 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ sK4)))))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & ((sK2 @ Y2 @ Y3) | (Y0 @ Y2 @ Y3))) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK2 @ sK3 @ Y2) | (Y0 @ sK3 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK4))))))) = $false)), 12.62/2.06 inference(beta_eta_normalization,[],[f14])). 12.62/2.06 thf(f14,plain,( 12.62/2.06 ($false = ((^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: ((~ (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((Y1 @ Y3 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y1 @ Y6 @ Y5) & (Y4 @ Y6)) => (Y4 @ Y5))))))) => (Y4 @ Y2)))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((sK2 @ Y3 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y6) & (sK2 @ Y6 @ Y5)) => (Y4 @ Y5))))))) => (Y4 @ Y2))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((sK2 @ Y5 @ Y6) | (Y1 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((sK2 @ Y3 @ Y5) | (Y1 @ Y3 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y2))))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (((Y1 @ Y2 @ Y6) | (sK2 @ Y2 @ Y6)) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((((Y1 @ Y7 @ Y6) | (sK2 @ Y7 @ Y6)) & (Y5 @ Y7)) => (Y5 @ Y6))))))) => (Y5 @ Y3)))) & (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (((Y1 @ Y3 @ Y6) | (sK2 @ Y3 @ Y6)) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((((sK2 @ Y6 @ Y7) | (Y1 @ Y6 @ Y7)) & (Y5 @ Y6)) => (Y5 @ Y7))))))) => (Y5 @ Y4))))) => (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y6) & ((Y1 @ Y6 @ Y7) | (sK2 @ Y6 @ Y7))) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: (((Y1 @ Y2 @ Y6) | (sK2 @ Y2 @ Y6)) => (Y5 @ Y6))))) => (Y5 @ Y4)))))))))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((Y1 @ sK3 @ Y3) | (sK2 @ sK3 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK2 @ Y3 @ Y4) | (Y1 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & ((sK2 @ Y3 @ Y4) | (Y1 @ Y3 @ Y4))) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK2 @ sK3 @ Y3) | (Y1 @ sK3 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0)))))))) @ sK4))), 12.62/2.06 inference(sigma_clausification,[],[f13])). 12.62/2.06 thf(f13,plain,( 12.62/2.06 ($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]: ((Y1 @ Y3 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y1 @ Y6 @ Y5) & (Y4 @ Y6)) => (Y4 @ Y5))))))) => (Y4 @ Y2)))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((sK2 @ Y3 @ Y5) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y6) & (sK2 @ Y6 @ Y5)) => (Y4 @ Y5))))))) => (Y4 @ Y2))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((sK2 @ Y5 @ Y6) | (Y1 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((sK2 @ Y3 @ Y5) | (Y1 @ Y3 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y2))))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (((Y1 @ Y2 @ Y6) | (sK2 @ Y2 @ Y6)) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((((Y1 @ Y7 @ Y6) | (sK2 @ Y7 @ Y6)) & (Y5 @ Y7)) => (Y5 @ Y6))))))) => (Y5 @ Y3)))) & (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (((Y1 @ Y3 @ Y6) | (sK2 @ Y3 @ Y6)) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((((sK2 @ Y6 @ Y7) | (Y1 @ Y6 @ Y7)) & (Y5 @ Y6)) => (Y5 @ Y7))))))) => (Y5 @ Y4))))) => (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y6) & ((Y1 @ Y6 @ Y7) | (sK2 @ Y6 @ Y7))) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: (((Y1 @ Y2 @ Y6) | (sK2 @ Y2 @ Y6)) => (Y5 @ Y6))))) => (Y5 @ Y4)))))))))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((Y1 @ sK3 @ Y3) | (sK2 @ sK3 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK2 @ Y3 @ Y4) | (Y1 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y0)))))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & ((sK2 @ Y3 @ Y4) | (Y1 @ Y3 @ Y4))) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK2 @ sK3 @ Y3) | (Y1 @ sK3 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0))))))))))), 12.62/2.06 inference(beta_eta_normalization,[],[f12])). 12.62/2.06 thf(f12,plain,( 12.62/2.06 ($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]: ((Y2 @ Y4 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y2 @ Y7 @ Y6) & (Y5 @ Y7)) => (Y5 @ Y6))))))) => (Y5 @ Y3)))) | (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((sK2 @ Y4 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y7) & (sK2 @ Y7 @ Y6)) => (Y5 @ Y6))))))) => (Y5 @ Y3))))) => (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((((sK2 @ Y6 @ Y7) | (Y2 @ Y6 @ Y7)) & (Y5 @ Y6)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: (((sK2 @ Y4 @ Y6) | (Y2 @ Y4 @ Y6)) => (Y5 @ Y6))))) => (Y5 @ Y3))))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (((Y2 @ Y3 @ Y7) | (sK2 @ Y3 @ Y7)) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((Y2 @ Y8 @ Y7) | (sK2 @ Y8 @ Y7)) & (Y6 @ Y8)) => (Y6 @ Y7))))))) => (Y6 @ Y4)))) & (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (((Y2 @ Y4 @ Y7) | (sK2 @ Y4 @ Y7)) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((sK2 @ Y7 @ Y8) | (Y2 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8))))))) => (Y6 @ Y5))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y7) & ((Y2 @ Y7 @ Y8) | (sK2 @ Y7 @ Y8))) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y2 @ Y3 @ Y7) | (sK2 @ Y3 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y5)))))))))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((Y2 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (Y2 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK2 @ Y4 @ Y5) | (Y2 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK2 @ Y0 @ Y4) | (Y2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1)))))))))) @ sK3))), 12.62/2.06 inference(sigma_clausification,[],[f11])). 12.62/2.06 thf(f11,plain,( 12.62/2.06 ($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]: ((Y2 @ Y4 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y2 @ Y7 @ Y6) & (Y5 @ Y7)) => (Y5 @ Y6))))))) => (Y5 @ Y3)))) | (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: ((sK2 @ Y4 @ Y6) => (Y5 @ Y6)))) & (!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: (((Y5 @ Y7) & (sK2 @ Y7 @ Y6)) => (Y5 @ Y6))))))) => (Y5 @ Y3))))) => (!! @ (a > $o) @ (^[Y5 : a > $o]: (((!! @ a @ (^[Y6 : a]: (!! @ a @ (^[Y7 : a]: ((((sK2 @ Y6 @ Y7) | (Y2 @ Y6 @ Y7)) & (Y5 @ Y6)) => (Y5 @ Y7)))))) & (!! @ a @ (^[Y6 : a]: (((sK2 @ Y4 @ Y6) | (Y2 @ Y4 @ Y6)) => (Y5 @ Y6))))) => (Y5 @ Y3))))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (((Y2 @ Y3 @ Y7) | (sK2 @ Y3 @ Y7)) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((Y2 @ Y8 @ Y7) | (sK2 @ Y8 @ Y7)) & (Y6 @ Y8)) => (Y6 @ Y7))))))) => (Y6 @ Y4)))) & (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (((Y2 @ Y4 @ Y7) | (sK2 @ Y4 @ Y7)) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((sK2 @ Y7 @ Y8) | (Y2 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8))))))) => (Y6 @ Y5))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y7) & ((Y2 @ Y7 @ Y8) | (sK2 @ Y7 @ Y8))) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y2 @ Y3 @ Y7) | (sK2 @ Y3 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y5)))))))))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((Y2 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (Y2 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y1)))))) | (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK2 @ Y4 @ Y5) | (Y2 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK2 @ Y0 @ Y4) | (Y2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y1))))))))))))), 12.62/2.06 inference(beta_eta_normalization,[],[f10])). 12.62/2.06 thf(f10,plain,( 12.62/2.06 ($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]: ((Y3 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y3 @ Y8 @ Y7) & (Y6 @ Y8)) => (Y6 @ Y7))))))) => (Y6 @ Y4)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y0 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y8) & (Y0 @ Y8 @ Y7)) => (Y6 @ Y7))))))) => (Y6 @ Y4))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((Y0 @ Y7 @ Y8) | (Y3 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y0 @ Y5 @ Y7) | (Y3 @ Y5 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y4))))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (((Y3 @ Y4 @ Y8) | (Y0 @ Y4 @ Y8)) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y3 @ Y9 @ Y8) | (Y0 @ Y9 @ Y8)) & (Y7 @ Y9)) => (Y7 @ Y8))))))) => (Y7 @ Y5)))) & (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (((Y3 @ Y5 @ Y8) | (Y0 @ Y5 @ Y8)) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y0 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9)) & (Y7 @ Y8)) => (Y7 @ Y9))))))) => (Y7 @ Y6))))) => (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y7 @ Y8) & ((Y3 @ Y8 @ Y9) | (Y0 @ Y8 @ Y9))) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y3 @ Y4 @ Y8) | (Y0 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y6)))))))))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y3 @ Y1 @ Y5) | (Y0 @ Y1 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y0 @ Y5 @ Y6) | (Y3 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y2)))))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & ((Y0 @ Y5 @ Y6) | (Y3 @ Y5 @ Y6))) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y0 @ Y1 @ Y5) | (Y3 @ Y1 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y2)))))))))))) @ sK2))), 12.62/2.06 inference(sigma_clausification,[],[f7])). 12.62/2.06 thf(f7,plain,( 12.62/2.06 ($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]: ((Y3 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y3 @ Y8 @ Y7) & (Y6 @ Y8)) => (Y6 @ Y7))))))) => (Y6 @ Y4)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y0 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y8) & (Y0 @ Y8 @ Y7)) => (Y6 @ Y7))))))) => (Y6 @ Y4))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((Y0 @ Y7 @ Y8) | (Y3 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y0 @ Y5 @ Y7) | (Y3 @ Y5 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y4))))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (((Y3 @ Y4 @ Y8) | (Y0 @ Y4 @ Y8)) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y3 @ Y9 @ Y8) | (Y0 @ Y9 @ Y8)) & (Y7 @ Y9)) => (Y7 @ Y8))))))) => (Y7 @ Y5)))) & (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (((Y3 @ Y5 @ Y8) | (Y0 @ Y5 @ Y8)) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y0 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9)) & (Y7 @ Y8)) => (Y7 @ Y9))))))) => (Y7 @ Y6))))) => (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y7 @ Y8) & ((Y3 @ Y8 @ Y9) | (Y0 @ Y8 @ Y9))) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y3 @ Y4 @ Y8) | (Y0 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y6)))))))))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y3 @ Y1 @ Y5) | (Y0 @ Y1 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y0 @ Y5 @ Y6) | (Y3 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y2)))))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & ((Y0 @ Y5 @ Y6) | (Y3 @ Y5 @ Y6))) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y0 @ Y1 @ Y5) | (Y3 @ Y1 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y2))))))))))))))), 12.62/2.06 inference(not_proxy_clausification,[],[f6])). 12.62/2.06 thf(f6,plain,( 12.62/2.06 ($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]: ((Y3 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y3 @ Y8 @ Y7) & (Y6 @ Y8)) => (Y6 @ Y7))))))) => (Y6 @ Y4)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y0 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y8) & (Y0 @ Y8 @ Y7)) => (Y6 @ Y7))))))) => (Y6 @ Y4))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((Y0 @ Y7 @ Y8) | (Y3 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y0 @ Y5 @ Y7) | (Y3 @ Y5 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y4))))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (((Y3 @ Y4 @ Y8) | (Y0 @ Y4 @ Y8)) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y3 @ Y9 @ Y8) | (Y0 @ Y9 @ Y8)) & (Y7 @ Y9)) => (Y7 @ Y8))))))) => (Y7 @ Y5)))) & (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (((Y3 @ Y5 @ Y8) | (Y0 @ Y5 @ Y8)) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y0 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9)) & (Y7 @ Y8)) => (Y7 @ Y9))))))) => (Y7 @ Y6))))) => (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y7 @ Y8) & ((Y3 @ Y8 @ Y9) | (Y0 @ Y8 @ Y9))) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y3 @ Y4 @ Y8) | (Y0 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y6)))))))))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y3 @ Y1 @ Y5) | (Y0 @ Y1 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y0 @ Y5 @ Y6) | (Y3 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y2)))))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & ((Y0 @ Y5 @ Y6) | (Y3 @ Y5 @ Y6))) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y0 @ Y1 @ Y5) | (Y3 @ Y1 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y2)))))))))))))))), 12.62/2.06 inference(cnf_transformation,[],[f5])). 12.62/2.06 thf(f5,plain,( 12.62/2.06 ($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]: ((Y3 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y3 @ Y8 @ Y7) & (Y6 @ Y8)) => (Y6 @ Y7))))))) => (Y6 @ Y4)))) | (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: ((Y0 @ Y5 @ Y7) => (Y6 @ Y7)))) & (!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: (((Y6 @ Y8) & (Y0 @ Y8 @ Y7)) => (Y6 @ Y7))))))) => (Y6 @ Y4))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((!! @ a @ (^[Y7 : a]: (!! @ a @ (^[Y8 : a]: ((((Y0 @ Y7 @ Y8) | (Y3 @ Y7 @ Y8)) & (Y6 @ Y7)) => (Y6 @ Y8)))))) & (!! @ a @ (^[Y7 : a]: (((Y0 @ Y5 @ Y7) | (Y3 @ Y5 @ Y7)) => (Y6 @ Y7))))) => (Y6 @ Y4))))))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (((Y3 @ Y4 @ Y8) | (Y0 @ Y4 @ Y8)) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y3 @ Y9 @ Y8) | (Y0 @ Y9 @ Y8)) & (Y7 @ Y9)) => (Y7 @ Y8))))))) => (Y7 @ Y5)))) & (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (((Y3 @ Y5 @ Y8) | (Y0 @ Y5 @ Y8)) => (Y7 @ Y8)))) & (!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: ((((Y0 @ Y8 @ Y9) | (Y3 @ Y8 @ Y9)) & (Y7 @ Y8)) => (Y7 @ Y9))))))) => (Y7 @ Y6))))) => (!! @ (a > $o) @ (^[Y7 : a > $o]: (((!! @ a @ (^[Y8 : a]: (!! @ a @ (^[Y9 : a]: (((Y7 @ Y8) & ((Y3 @ Y8 @ Y9) | (Y0 @ Y8 @ Y9))) => (Y7 @ Y9)))))) & (!! @ a @ (^[Y8 : a]: (((Y3 @ Y4 @ Y8) | (Y0 @ Y4 @ Y8)) => (Y7 @ Y8))))) => (Y7 @ Y6)))))))))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (((Y3 @ Y1 @ Y5) | (Y0 @ Y1 @ Y5)) => (Y4 @ Y5)))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((((Y0 @ Y5 @ Y6) | (Y3 @ Y5 @ Y6)) & (Y4 @ Y5)) => (Y4 @ Y6))))))) => (Y4 @ Y2)))))) | (!! @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: (((Y4 @ Y5) & ((Y0 @ Y5 @ Y6) | (Y3 @ Y5 @ Y6))) => (Y4 @ Y6)))))) & (!! @ a @ (^[Y5 : a]: (((Y0 @ Y1 @ Y5) | (Y3 @ Y1 @ Y5)) => (Y4 @ Y5))))) => (Y4 @ Y2)))))))))))))))), 12.62/2.06 inference(fool_elimination,[],[f4])). 12.62/2.06 thf(f4,plain,( 12.62/2.06 ~! [X0 : a > a > $o,X1 : a,X2 : a,X3 : a > a > $o] : (! [X4 : a > $o] : ((! [X5 : a] : (((X0 @ X2 @ X5) | (X3 @ X2 @ X5)) => (X4 @ X5)) & ! [X6 : a,X7 : a] : ((((X0 @ X7 @ X6) | (X3 @ X7 @ X6)) & (X4 @ X7)) => (X4 @ X6))) => (X4 @ X1)) | ~((! [X8 : a,X9 : a,X10 : a] : ((! [X11 : a > $o] : ((! [X12 : a,X13 : a] : (((X11 @ X13) & ((X0 @ X13 @ X12) | (X3 @ X13 @ X12))) => (X11 @ X12)) & ! [X14 : a] : (((X3 @ X9 @ X14) | (X0 @ X9 @ X14)) => (X11 @ X14))) => (X11 @ X8)) & ! [X15 : a > $o] : ((! [X16 : a,X17 : a] : (((X15 @ X16) & ((X3 @ X16 @ X17) | (X0 @ X16 @ X17))) => (X15 @ X17)) & ! [X18 : a] : (((X3 @ X10 @ X18) | (X0 @ X10 @ X18)) => (X15 @ X18))) => (X15 @ X9))) => ! [X19 : a > $o] : ((! [X20 : a] : (((X3 @ X10 @ X20) | (X0 @ X10 @ X20)) => (X19 @ X20)) & ! [X21 : a,X22 : a] : ((((X3 @ X22 @ X21) | (X0 @ X22 @ X21)) & (X19 @ X22)) => (X19 @ X21))) => (X19 @ X8))) & ! [X23 : a,X24 : a] : ((! [X25 : a > $o] : ((! [X26 : a,X27 : a] : (((X3 @ X26 @ X27) & (X25 @ X26)) => (X25 @ X27)) & ! [X28 : a] : ((X3 @ X23 @ X28) => (X25 @ X28))) => (X25 @ X24)) | ! [X29 : a > $o] : ((! [X30 : a,X31 : a] : (((X29 @ X30) & (X0 @ X30 @ X31)) => (X29 @ X31)) & ! [X32 : a] : ((X0 @ X23 @ X32) => (X29 @ X32))) => (X29 @ X24))) => ! [X33 : a > $o] : ((! [X34 : a] : (((X0 @ X23 @ X34) | (X3 @ X23 @ X34)) => (X33 @ X34)) & ! [X35 : a,X36 : a] : (((X33 @ X36) & ((X0 @ X36 @ X35) | (X3 @ X36 @ X35))) => (X33 @ X35))) => (X33 @ X24)))) => ! [X37 : a > $o] : ((! [X38 : a,X39 : a] : (((X37 @ X39) & ((X0 @ X39 @ X38) | (X3 @ X39 @ X38))) => (X37 @ X38)) & ! [X40 : a] : (((X3 @ X2 @ X40) | (X0 @ X2 @ X40)) => (X37 @ X40))) => (X37 @ X1))))), 12.62/2.06 inference(rectify,[],[f2])). 12.62/2.06 thf(f2,negated_conjecture,( 12.62/2.06 ~! [X0 : a > a > $o,X3 : a,X2 : a,X1 : a > a > $o] : (! [X4 : a > $o] : ((! [X5 : a] : (((X0 @ X2 @ X5) | (X1 @ X2 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : ((((X0 @ X6 @ X7) | (X1 @ X6 @ X7)) & (X4 @ X6)) => (X4 @ X7))) => (X4 @ X3)) | ~((! [X10 : a,X9 : a,X8 : a] : ((! [X4 : a > $o] : ((! [X7 : a,X6 : a] : (((X4 @ X6) & ((X0 @ X6 @ X7) | (X1 @ X6 @ X7))) => (X4 @ X7)) & ! [X5 : a] : (((X1 @ X9 @ X5) | (X0 @ X9 @ X5)) => (X4 @ X5))) => (X4 @ X10)) & ! [X4 : a > $o] : ((! [X6 : a,X7 : a] : (((X4 @ X6) & ((X1 @ X6 @ X7) | (X0 @ X6 @ X7))) => (X4 @ X7)) & ! [X5 : a] : (((X1 @ X8 @ X5) | (X0 @ X8 @ X5)) => (X4 @ X5))) => (X4 @ X9))) => ! [X4 : a > $o] : ((! [X5 : a] : (((X1 @ X8 @ X5) | (X0 @ X8 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : ((((X1 @ X6 @ X7) | (X0 @ X6 @ X7)) & (X4 @ X6)) => (X4 @ X7))) => (X4 @ X10))) & ! [X8 : a,X9 : a] : ((! [X4 : a > $o] : ((! [X6 : a,X7 : a] : (((X1 @ X6 @ X7) & (X4 @ X6)) => (X4 @ X7)) & ! [X5 : a] : ((X1 @ X8 @ X5) => (X4 @ X5))) => (X4 @ X9)) | ! [X4 : a > $o] : ((! [X6 : a,X7 : a] : (((X4 @ X6) & (X0 @ X6 @ X7)) => (X4 @ X7)) & ! [X5 : a] : ((X0 @ X8 @ X5) => (X4 @ X5))) => (X4 @ X9))) => ! [X4 : a > $o] : ((! [X5 : a] : (((X0 @ X8 @ X5) | (X1 @ X8 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : (((X4 @ X6) & ((X0 @ X6 @ X7) | (X1 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X9)))) => ! [X4 : a > $o] : ((! [X7 : a,X6 : a] : (((X4 @ X6) & ((X0 @ X6 @ X7) | (X1 @ X6 @ X7))) => (X4 @ X7)) & ! [X5 : a] : (((X1 @ X2 @ X5) | (X0 @ X2 @ X5)) => (X4 @ X5))) => (X4 @ X3))))), 12.62/2.06 inference(negated_conjecture,[],[f1])). 12.62/2.06 thf(f1,conjecture,( 12.62/2.06 ! [X0 : a > a > $o,X3 : a,X2 : a,X1 : a > a > $o] : (! [X4 : a > $o] : ((! [X5 : a] : (((X0 @ X2 @ X5) | (X1 @ X2 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : ((((X0 @ X6 @ X7) | (X1 @ X6 @ X7)) & (X4 @ X6)) => (X4 @ X7))) => (X4 @ X3)) | ~((! [X10 : a,X9 : a,X8 : a] : ((! [X4 : a > $o] : ((! [X7 : a,X6 : a] : (((X4 @ X6) & ((X0 @ X6 @ X7) | (X1 @ X6 @ X7))) => (X4 @ X7)) & ! [X5 : a] : (((X1 @ X9 @ X5) | (X0 @ X9 @ X5)) => (X4 @ X5))) => (X4 @ X10)) & ! [X4 : a > $o] : ((! [X6 : a,X7 : a] : (((X4 @ X6) & ((X1 @ X6 @ X7) | (X0 @ X6 @ X7))) => (X4 @ X7)) & ! [X5 : a] : (((X1 @ X8 @ X5) | (X0 @ X8 @ X5)) => (X4 @ X5))) => (X4 @ X9))) => ! [X4 : a > $o] : ((! [X5 : a] : (((X1 @ X8 @ X5) | (X0 @ X8 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : ((((X1 @ X6 @ X7) | (X0 @ X6 @ X7)) & (X4 @ X6)) => (X4 @ X7))) => (X4 @ X10))) & ! [X8 : a,X9 : a] : ((! [X4 : a > $o] : ((! [X6 : a,X7 : a] : (((X1 @ X6 @ X7) & (X4 @ X6)) => (X4 @ X7)) & ! [X5 : a] : ((X1 @ X8 @ X5) => (X4 @ X5))) => (X4 @ X9)) | ! [X4 : a > $o] : ((! [X6 : a,X7 : a] : (((X4 @ X6) & (X0 @ X6 @ X7)) => (X4 @ X7)) & ! [X5 : a] : ((X0 @ X8 @ X5) => (X4 @ X5))) => (X4 @ X9))) => ! [X4 : a > $o] : ((! [X5 : a] : (((X0 @ X8 @ X5) | (X1 @ X8 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : (((X4 @ X6) & ((X0 @ X6 @ X7) | (X1 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X9)))) => ! [X4 : a > $o] : ((! [X7 : a,X6 : a] : (((X4 @ X6) & ((X0 @ X6 @ X7) | (X1 @ X6 @ X7))) => (X4 @ X7)) & ! [X5 : a] : (((X1 @ X2 @ X5) | (X0 @ X2 @ X5)) => (X4 @ X5))) => (X4 @ X3))))), 12.62/2.06 file('/export/starexec/sandbox/tmp/tmp.J1IJHFpnOq/Vampire---4.8_5965',cTHM251G_pme)). 12.62/2.06 thf(f1719,plain,( 12.62/2.06 ~spl0_9 | ~spl0_11 | ~spl0_42), 12.62/2.06 inference(avatar_contradiction_clause,[],[f1718])). 12.62/2.06 thf(f1718,plain,( 12.62/2.06 $false | (~spl0_9 | ~spl0_11 | ~spl0_42)), 12.62/2.06 inference(trivial_inequality_removal,[],[f1717])). 12.62/2.06 thf(f1717,plain,( 12.62/2.06 ($true = $false) | (~spl0_9 | ~spl0_11 | ~spl0_42)), 12.62/2.06 inference(boolean_simplification,[],[f1716])). 12.62/2.06 thf(f1716,plain,( 12.62/2.06 ($true = (~ $true)) | (~spl0_9 | ~spl0_11 | ~spl0_42)), 12.62/2.06 inference(boolean_simplification,[],[f1715])). 12.62/2.06 thf(f1715,plain,( 12.62/2.06 ($true = (~ ((sK2 @ sK11 @ sK32) | $true))) | (~spl0_9 | ~spl0_11 | ~spl0_42)), 12.62/2.06 inference(forward_demodulation,[],[f1714,f1705])). 12.62/2.06 thf(f1705,plain,( 12.62/2.06 ($true = (sK5 @ sK11 @ sK32)) | ~spl0_42), 12.62/2.06 inference(binary_proxy_clausification,[],[f1703])). 12.62/2.06 thf(f1703,plain,( 12.62/2.06 ($false = ((sK5 @ sK11 @ sK32) => (sK12 @ sK32))) | ~spl0_42), 12.62/2.06 inference(beta_eta_normalization,[],[f1699])). 12.62/2.06 thf(f1699,plain,( 12.62/2.06 ($false = ((^[Y0 : a]: ((sK5 @ sK11 @ Y0) => (sK12 @ Y0))) @ sK32)) | ~spl0_42), 12.62/2.06 inference(sigma_clausification,[],[f1608])). 12.62/2.06 thf(f1608,plain,( 12.62/2.06 ($false = (!! @ a @ (^[Y0 : a]: ((sK5 @ sK11 @ Y0) => (sK12 @ Y0))))) | ~spl0_42), 12.62/2.06 inference(avatar_component_clause,[],[f1607])). 12.62/2.06 thf(f1607,plain,( 12.62/2.06 spl0_42 <=> ($false = (!! @ a @ (^[Y0 : a]: ((sK5 @ sK11 @ Y0) => (sK12 @ Y0)))))), 12.62/2.06 introduced(avatar_definition,[new_symbols(naming,[spl0_42])])). 12.62/2.06 thf(f1714,plain,( 12.62/2.06 ($true = (~ ((sK2 @ sK11 @ sK32) | (sK5 @ sK11 @ sK32)))) | (~spl0_9 | ~spl0_11 | ~spl0_42)), 12.62/2.06 inference(boolean_simplification,[],[f1710])). 12.62/2.06 thf(f1710,plain,( 12.62/2.06 ($true = (((sK2 @ sK11 @ sK32) | (sK5 @ sK11 @ sK32)) => $false)) | (~spl0_9 | ~spl0_11 | ~spl0_42)), 12.62/2.06 inference(superposition,[],[f1404,f1707])). 12.62/2.06 thf(f1707,plain,( 12.62/2.06 ($false = (sK12 @ sK32)) | ~spl0_42), 12.62/2.06 inference(boolean_simplification,[],[f1706])). 12.62/2.06 thf(f1706,plain,( 12.62/2.06 ($false = ($true => (sK12 @ sK32))) | ~spl0_42), 12.62/2.06 inference(backward_demodulation,[],[f1703,f1705])). 12.62/2.06 thf(f1404,plain,( 12.62/2.06 ( ! [X1 : a] : (($true = (((sK2 @ sK11 @ X1) | (sK5 @ sK11 @ X1)) => (sK12 @ X1)))) ) | (~spl0_9 | ~spl0_11)), 12.62/2.06 inference(beta_eta_normalization,[],[f1403])). 12.62/2.06 thf(f1403,plain,( 12.62/2.06 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (((sK2 @ sK11 @ Y0) | (sK5 @ sK11 @ Y0)) => (sK12 @ Y0))) @ X1))) ) | (~spl0_9 | ~spl0_11)), 12.62/2.06 inference(pi_clausification,[],[f1392])). 12.62/2.06 thf(f1392,plain,( 12.62/2.06 ($true = (!! @ a @ (^[Y0 : a]: (((sK2 @ sK11 @ Y0) | (sK5 @ sK11 @ Y0)) => (sK12 @ Y0))))) | (~spl0_9 | ~spl0_11)), 12.62/2.06 inference(boolean_simplification,[],[f1391])). 12.62/2.06 thf(f1391,plain,( 12.62/2.06 ($true = ($true & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK11 @ Y0) | (sK5 @ sK11 @ Y0)) => (sK12 @ Y0)))))) | (~spl0_9 | ~spl0_11)), 12.62/2.06 inference(backward_demodulation,[],[f1356,f1390])). 12.62/2.06 thf(f1390,plain,( 12.62/2.06 ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK12 @ Y0)) => (sK12 @ Y1))))))) | (~spl0_9 | ~spl0_11)), 12.62/2.06 inference(binary_proxy_clausification,[],[f1356])). 12.62/2.06 thf(f1356,plain,( 12.62/2.06 ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK12 @ Y0)) => (sK12 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK11 @ Y0) | (sK5 @ sK11 @ Y0)) => (sK12 @ Y0)))))) | (~spl0_9 | ~spl0_11)), 12.62/2.06 inference(binary_proxy_clausification,[],[f1351])). 12.62/2.06 thf(f1351,plain,( 12.62/2.06 ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK12 @ Y0)) => (sK12 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK11 @ Y0) | (sK5 @ sK11 @ Y0)) => (sK12 @ Y0))))) => (sK12 @ sK10)) = $false) | (~spl0_9 | ~spl0_11)), 12.62/2.06 inference(beta_eta_normalization,[],[f1350])). 12.62/2.06 thf(f1350,plain,( 12.62/2.06 ($false = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK11 @ Y1) | (sK5 @ sK11 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10))) @ sK12)) | (~spl0_9 | ~spl0_11)), 12.62/2.06 inference(sigma_clausification,[],[f1328])). 12.62/2.06 thf(f1328,plain,( 12.62/2.06 ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK11 @ Y1) | (sK5 @ sK11 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10))))) | (~spl0_9 | ~spl0_11)), 12.62/2.06 inference(boolean_simplification,[],[f1327])). 12.62/2.06 thf(f1327,plain,( 12.62/2.06 ($false = ($true => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK11 @ Y1) | (sK5 @ sK11 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10)))))) | (~spl0_9 | ~spl0_11)), 12.62/2.06 inference(boolean_simplification,[],[f1326])). 12.62/2.06 thf(f1326,plain,( 12.62/2.06 ((($true | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK11 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ 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]: (((sK2 @ sK11 @ Y1) | (sK5 @ sK11 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10))))) = $false) | (~spl0_9 | ~spl0_11)), 12.62/2.06 inference(forward_demodulation,[],[f961,f351])). 12.62/2.06 thf(f351,plain,( 12.62/2.06 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK11 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK10))))) | ~spl0_11), 12.62/2.06 inference(avatar_component_clause,[],[f350])). 12.62/2.06 thf(f350,plain,( 12.62/2.06 spl0_11 <=> ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK11 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK10)))))), 12.62/2.06 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])). 12.62/2.06 thf(f961,plain,( 12.62/2.06 ($false = (((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK11 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK10)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK11 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK10))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK11 @ Y1) | (sK5 @ sK11 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10)))))) | ~spl0_9), 12.62/2.06 inference(beta_eta_normalization,[],[f960])). 12.62/2.06 thf(f960,plain,( 12.62/2.06 ($false = ((^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK5 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ sK10)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ 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]: (((sK2 @ Y0 @ Y2) | (sK5 @ Y0 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK10)))))) @ sK11)) | ~spl0_9), 12.62/2.06 inference(sigma_clausification,[],[f949])). 12.62/2.06 thf(f949,plain,( 12.62/2.06 ((!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK5 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ sK10)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ 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]: (((sK2 @ Y0 @ Y2) | (sK5 @ Y0 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK10))))))) = $false) | ~spl0_9), 12.62/2.06 inference(beta_eta_normalization,[],[f948])). 12.62/2.06 thf(f948,plain,( 12.62/2.06 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK2 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK2 @ Y1 @ Y3) | (sK5 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0)))))))) @ sK10)) | ~spl0_9), 12.62/2.06 inference(sigma_clausification,[],[f227])). 12.62/2.06 thf(f227,plain,( 12.62/2.06 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK2 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK2 @ Y1 @ Y3) | (sK5 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0)))))))))) | ~spl0_9), 12.62/2.06 inference(avatar_component_clause,[],[f226])). 12.62/2.06 thf(f226,plain,( 12.62/2.06 spl0_9 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ 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]: (((sK2 @ Y1 @ Y3) | (sK5 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0))))))))))), 12.62/2.06 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])). 12.62/2.06 thf(f1696,plain,( 12.62/2.06 ~spl0_9 | ~spl0_11 | ~spl0_41), 12.62/2.06 inference(avatar_contradiction_clause,[],[f1695])). 12.62/2.06 thf(f1695,plain,( 12.62/2.06 $false | (~spl0_9 | ~spl0_11 | ~spl0_41)), 12.62/2.06 inference(trivial_inequality_removal,[],[f1694])). 12.62/2.06 thf(f1694,plain,( 12.62/2.06 ($true = $false) | (~spl0_9 | ~spl0_11 | ~spl0_41)), 12.62/2.06 inference(forward_demodulation,[],[f1693,f1657])). 12.62/2.06 thf(f1657,plain,( 12.62/2.06 ($false = (sK12 @ sK29)) | ~spl0_41), 12.62/2.06 inference(boolean_simplification,[],[f1656])). 12.62/2.06 thf(f1656,plain,( 12.62/2.06 ($false = ($true => (sK12 @ sK29))) | ~spl0_41), 12.62/2.06 inference(backward_demodulation,[],[f1643,f1655])). 12.62/2.06 thf(f1655,plain,( 12.62/2.06 ($true = ((sK5 @ sK30 @ sK29) & (sK12 @ sK30))) | ~spl0_41), 12.62/2.06 inference(binary_proxy_clausification,[],[f1643])). 12.62/2.06 thf(f1643,plain,( 12.62/2.06 ($false = (((sK5 @ sK30 @ sK29) & (sK12 @ sK30)) => (sK12 @ sK29))) | ~spl0_41), 12.62/2.06 inference(beta_eta_normalization,[],[f1642])). 12.62/2.06 thf(f1642,plain,( 12.62/2.06 (((^[Y0 : a]: (((sK5 @ Y0 @ sK29) & (sK12 @ Y0)) => (sK12 @ sK29))) @ sK30) = $false) | ~spl0_41), 12.62/2.06 inference(sigma_clausification,[],[f1631])). 12.62/2.06 thf(f1631,plain,( 12.62/2.06 ((!! @ a @ (^[Y0 : a]: (((sK5 @ Y0 @ sK29) & (sK12 @ Y0)) => (sK12 @ sK29)))) = $false) | ~spl0_41), 12.62/2.07 inference(beta_eta_normalization,[],[f1627])). 12.62/2.07 thf(f1627,plain,( 12.62/2.07 (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y1 @ Y0) & (sK12 @ Y1)) => (sK12 @ Y0))))) @ sK29) = $false) | ~spl0_41), 12.62/2.07 inference(sigma_clausification,[],[f1605])). 12.62/2.07 thf(f1605,plain,( 12.62/2.07 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y1 @ Y0) & (sK12 @ Y1)) => (sK12 @ Y0)))))) = $false) | ~spl0_41), 12.62/2.07 inference(avatar_component_clause,[],[f1604])). 12.62/2.07 thf(f1604,plain,( 12.62/2.07 spl0_41 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y1 @ Y0) & (sK12 @ Y1)) => (sK12 @ Y0)))))) = $false)), 12.62/2.07 introduced(avatar_definition,[new_symbols(naming,[spl0_41])])). 12.62/2.07 thf(f1693,plain,( 12.62/2.07 ($true = (sK12 @ sK29)) | (~spl0_9 | ~spl0_11 | ~spl0_41)), 12.62/2.07 inference(boolean_simplification,[],[f1692])). 12.62/2.07 thf(f1692,plain,( 12.62/2.07 ($true = ($true => (sK12 @ sK29))) | (~spl0_9 | ~spl0_11 | ~spl0_41)), 12.62/2.07 inference(forward_demodulation,[],[f1691,f1682])). 12.62/2.07 thf(f1682,plain,( 12.62/2.07 ($true = (sK12 @ sK31)) | ~spl0_41), 12.62/2.07 inference(binary_proxy_clausification,[],[f1679])). 12.62/2.07 thf(f1679,plain,( 12.62/2.07 ($true = ((sK5 @ sK31 @ sK29) & (sK12 @ sK31))) | ~spl0_41), 12.62/2.07 inference(not_proxy_clausification,[],[f1668])). 12.62/2.07 thf(f1668,plain,( 12.62/2.07 ($false = (~ ((sK5 @ sK31 @ sK29) & (sK12 @ sK31)))) | ~spl0_41), 12.62/2.07 inference(beta_eta_normalization,[],[f1667])). 12.62/2.07 thf(f1667,plain,( 12.62/2.07 ($false = ((^[Y0 : a]: (~ ((sK5 @ Y0 @ sK29) & (sK12 @ Y0)))) @ sK31)) | ~spl0_41), 12.62/2.07 inference(sigma_clausification,[],[f1659])). 12.62/2.07 thf(f1659,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: (~ ((sK5 @ Y0 @ sK29) & (sK12 @ Y0)))))) | ~spl0_41), 12.62/2.07 inference(boolean_simplification,[],[f1658])). 12.62/2.07 thf(f1658,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: (((sK5 @ Y0 @ sK29) & (sK12 @ Y0)) => $false)))) | ~spl0_41), 12.62/2.07 inference(backward_demodulation,[],[f1631,f1657])). 12.62/2.07 thf(f1691,plain,( 12.62/2.07 ($true = ((sK12 @ sK31) => (sK12 @ sK29))) | (~spl0_9 | ~spl0_11 | ~spl0_41)), 12.62/2.07 inference(boolean_simplification,[],[f1690])). 12.62/2.07 thf(f1690,plain,( 12.62/2.07 ($true = (($true & (sK12 @ sK31)) => (sK12 @ sK29))) | (~spl0_9 | ~spl0_11 | ~spl0_41)), 12.62/2.07 inference(boolean_simplification,[],[f1686])). 12.62/2.07 thf(f1686,plain,( 12.62/2.07 ($true = ((((sK2 @ sK31 @ sK29) | $true) & (sK12 @ sK31)) => (sK12 @ sK29))) | (~spl0_9 | ~spl0_11 | ~spl0_41)), 12.62/2.07 inference(superposition,[],[f1482,f1685])). 12.62/2.07 thf(f1685,plain,( 12.62/2.07 ($true = (sK5 @ sK31 @ sK29)) | ~spl0_41), 12.62/2.07 inference(boolean_simplification,[],[f1684])). 12.62/2.07 thf(f1684,plain,( 12.62/2.07 ($true = ((sK5 @ sK31 @ sK29) & $true)) | ~spl0_41), 12.62/2.07 inference(backward_demodulation,[],[f1679,f1682])). 12.62/2.07 thf(f1482,plain,( 12.62/2.07 ( ! [X2 : a,X1 : a] : (($true = ((((sK2 @ X1 @ X2) | (sK5 @ X1 @ X2)) & (sK12 @ X1)) => (sK12 @ X2)))) ) | (~spl0_9 | ~spl0_11)), 12.62/2.07 inference(beta_eta_normalization,[],[f1481])). 12.62/2.07 thf(f1481,plain,( 12.62/2.07 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: ((((sK2 @ X1 @ Y0) | (sK5 @ X1 @ Y0)) & (sK12 @ X1)) => (sK12 @ Y0))) @ X2))) ) | (~spl0_9 | ~spl0_11)), 12.62/2.07 inference(pi_clausification,[],[f1459])). 12.62/2.07 thf(f1459,plain,( 12.62/2.07 ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((((sK2 @ X1 @ Y0) | (sK5 @ X1 @ Y0)) & (sK12 @ X1)) => (sK12 @ Y0)))))) ) | (~spl0_9 | ~spl0_11)), 12.62/2.07 inference(beta_eta_normalization,[],[f1458])). 12.62/2.07 thf(f1458,plain,( 12.62/2.07 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK12 @ Y0)) => (sK12 @ Y1))))) @ X1))) ) | (~spl0_9 | ~spl0_11)), 12.62/2.07 inference(pi_clausification,[],[f1390])). 12.62/2.07 thf(f1609,plain,( 12.62/2.07 spl0_41 | spl0_42 | ~spl0_9 | ~spl0_11), 12.62/2.07 inference(avatar_split_clause,[],[f1600,f350,f226,f1607,f1604])). 12.62/2.07 thf(f1600,plain,( 12.62/2.07 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y1 @ Y0) & (sK12 @ Y1)) => (sK12 @ Y0)))))) = $false) | ($false = (!! @ a @ (^[Y0 : a]: ((sK5 @ sK11 @ Y0) => (sK12 @ Y0))))) | (~spl0_9 | ~spl0_11)), 12.62/2.07 inference(binary_proxy_clausification,[],[f1582])). 12.62/2.07 thf(f1582,plain,( 12.62/2.07 ($false = ((!! @ a @ (^[Y0 : a]: ((sK5 @ sK11 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y1 @ Y0) & (sK12 @ Y1)) => (sK12 @ Y0)))))))) | (~spl0_9 | ~spl0_11)), 12.62/2.07 inference(not_proxy_clausification,[],[f1378])). 12.62/2.07 thf(f1378,plain,( 12.62/2.07 ($true = (~ ((!! @ a @ (^[Y0 : a]: ((sK5 @ sK11 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y1 @ Y0) & (sK12 @ Y1)) => (sK12 @ Y0))))))))) | (~spl0_9 | ~spl0_11)), 12.62/2.07 inference(boolean_simplification,[],[f1375])). 12.62/2.07 thf(f1375,plain,( 12.62/2.07 ($true = (((!! @ a @ (^[Y0 : a]: ((sK5 @ sK11 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y1 @ Y0) & (sK12 @ Y1)) => (sK12 @ Y0))))))) => $false)) | (~spl0_9 | ~spl0_11)), 12.62/2.07 inference(superposition,[],[f1362,f1355])). 12.62/2.07 thf(f1355,plain,( 12.62/2.07 ($false = (sK12 @ sK10)) | (~spl0_9 | ~spl0_11)), 12.62/2.07 inference(binary_proxy_clausification,[],[f1351])). 12.62/2.07 thf(f1362,plain,( 12.62/2.07 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: ((sK5 @ sK11 @ Y0) => (X1 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK5 @ Y1 @ Y0) & (X1 @ Y1)) => (X1 @ Y0))))))) => (X1 @ sK10)))) ) | ~spl0_11), 12.62/2.07 inference(beta_eta_normalization,[],[f1361])). 12.62/2.07 thf(f1361,plain,( 12.62/2.07 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK11 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK10))) @ X1))) ) | ~spl0_11), 12.62/2.07 inference(pi_clausification,[],[f351])). 12.62/2.07 thf(f1325,plain,( 12.62/2.07 ~spl0_9 | ~spl0_12 | ~spl0_39), 12.62/2.07 inference(avatar_contradiction_clause,[],[f1324])). 12.62/2.07 thf(f1324,plain,( 12.62/2.07 $false | (~spl0_9 | ~spl0_12 | ~spl0_39)), 12.62/2.07 inference(trivial_inequality_removal,[],[f1323])). 12.62/2.07 thf(f1323,plain,( 12.62/2.07 ($true = $false) | (~spl0_9 | ~spl0_12 | ~spl0_39)), 12.62/2.07 inference(boolean_simplification,[],[f1322])). 12.62/2.07 thf(f1322,plain,( 12.62/2.07 ($true = (~ $true)) | (~spl0_9 | ~spl0_12 | ~spl0_39)), 12.62/2.07 inference(boolean_simplification,[],[f1321])). 12.62/2.07 thf(f1321,plain,( 12.62/2.07 ((~ ($true | (sK5 @ sK11 @ sK28))) = $true) | (~spl0_9 | ~spl0_12 | ~spl0_39)), 12.62/2.07 inference(forward_demodulation,[],[f1318,f1311])). 12.62/2.07 thf(f1311,plain,( 12.62/2.07 ((sK2 @ sK11 @ sK28) = $true) | ~spl0_39), 12.62/2.07 inference(binary_proxy_clausification,[],[f1307])). 12.62/2.07 thf(f1307,plain,( 12.62/2.07 (((sK2 @ sK11 @ sK28) => (sK12 @ sK28)) = $false) | ~spl0_39), 12.62/2.07 inference(beta_eta_normalization,[],[f1305])). 12.62/2.07 thf(f1305,plain,( 12.62/2.07 ($false = ((^[Y0 : a]: ((sK2 @ sK11 @ Y0) => (sK12 @ Y0))) @ sK28)) | ~spl0_39), 12.62/2.07 inference(sigma_clausification,[],[f1202])). 12.62/2.07 thf(f1202,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: ((sK2 @ sK11 @ Y0) => (sK12 @ Y0))))) | ~spl0_39), 12.62/2.07 inference(avatar_component_clause,[],[f1201])). 12.62/2.07 thf(f1201,plain,( 12.62/2.07 spl0_39 <=> ($false = (!! @ a @ (^[Y0 : a]: ((sK2 @ sK11 @ Y0) => (sK12 @ Y0)))))), 12.62/2.07 introduced(avatar_definition,[new_symbols(naming,[spl0_39])])). 12.62/2.07 thf(f1318,plain,( 12.62/2.07 ($true = (~ ((sK2 @ sK11 @ sK28) | (sK5 @ sK11 @ sK28)))) | (~spl0_9 | ~spl0_12 | ~spl0_39)), 12.62/2.07 inference(boolean_simplification,[],[f1316])). 12.62/2.07 thf(f1316,plain,( 12.62/2.07 ($true = (((sK2 @ sK11 @ sK28) | (sK5 @ sK11 @ sK28)) => $false)) | (~spl0_9 | ~spl0_12 | ~spl0_39)), 12.62/2.07 inference(superposition,[],[f1040,f1313])). 12.62/2.07 thf(f1313,plain,( 12.62/2.07 ($false = (sK12 @ sK28)) | ~spl0_39), 12.62/2.07 inference(boolean_simplification,[],[f1312])). 12.62/2.07 thf(f1312,plain,( 12.62/2.07 ($false = ($true => (sK12 @ sK28))) | ~spl0_39), 12.62/2.07 inference(backward_demodulation,[],[f1307,f1311])). 12.62/2.07 thf(f1040,plain,( 12.62/2.07 ( ! [X1 : a] : (($true = (((sK2 @ sK11 @ X1) | (sK5 @ sK11 @ X1)) => (sK12 @ X1)))) ) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(beta_eta_normalization,[],[f1039])). 12.62/2.07 thf(f1039,plain,( 12.62/2.07 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (((sK2 @ sK11 @ Y0) | (sK5 @ sK11 @ Y0)) => (sK12 @ Y0))) @ X1))) ) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(pi_clausification,[],[f1028])). 12.62/2.07 thf(f1028,plain,( 12.62/2.07 ($true = (!! @ a @ (^[Y0 : a]: (((sK2 @ sK11 @ Y0) | (sK5 @ sK11 @ Y0)) => (sK12 @ Y0))))) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(boolean_simplification,[],[f1027])). 12.62/2.07 thf(f1027,plain,( 12.62/2.07 ($true = ($true & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK11 @ Y0) | (sK5 @ sK11 @ Y0)) => (sK12 @ Y0)))))) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(backward_demodulation,[],[f989,f1026])). 12.62/2.07 thf(f1026,plain,( 12.62/2.07 ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK12 @ Y0)) => (sK12 @ Y1))))))) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(binary_proxy_clausification,[],[f989])). 12.62/2.07 thf(f989,plain,( 12.62/2.07 ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK12 @ Y0)) => (sK12 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK11 @ Y0) | (sK5 @ sK11 @ Y0)) => (sK12 @ Y0)))))) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(binary_proxy_clausification,[],[f974])). 12.62/2.07 thf(f974,plain,( 12.62/2.07 ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK12 @ Y0)) => (sK12 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK2 @ sK11 @ Y0) | (sK5 @ sK11 @ Y0)) => (sK12 @ Y0))))) => (sK12 @ sK10)) = $false) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(beta_eta_normalization,[],[f973])). 12.62/2.07 thf(f973,plain,( 12.62/2.07 ($false = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK11 @ Y1) | (sK5 @ sK11 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10))) @ sK12)) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(sigma_clausification,[],[f964])). 12.62/2.07 thf(f964,plain,( 12.62/2.07 ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK11 @ Y1) | (sK5 @ sK11 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10))))) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(boolean_simplification,[],[f963])). 12.62/2.07 thf(f963,plain,( 12.62/2.07 ($false = ($true => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK11 @ Y1) | (sK5 @ sK11 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10)))))) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(boolean_simplification,[],[f962])). 12.62/2.07 thf(f962,plain,( 12.62/2.07 ($false = (((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK11 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK10)))) | $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]: (((sK2 @ sK11 @ Y1) | (sK5 @ sK11 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10)))))) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(forward_demodulation,[],[f961,f354])). 12.62/2.07 thf(f354,plain,( 12.62/2.07 ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK11 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK10)))) = $true) | ~spl0_12), 12.62/2.07 inference(avatar_component_clause,[],[f353])). 12.62/2.07 thf(f353,plain,( 12.62/2.07 spl0_12 <=> ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK11 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK10)))) = $true)), 12.62/2.07 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])). 12.62/2.07 thf(f1302,plain,( 12.62/2.07 ~spl0_9 | ~spl0_12 | ~spl0_40), 12.62/2.07 inference(avatar_contradiction_clause,[],[f1301])). 12.62/2.07 thf(f1301,plain,( 12.62/2.07 $false | (~spl0_9 | ~spl0_12 | ~spl0_40)), 12.62/2.07 inference(trivial_inequality_removal,[],[f1300])). 12.62/2.07 thf(f1300,plain,( 12.62/2.07 ($true = $false) | (~spl0_9 | ~spl0_12 | ~spl0_40)), 12.62/2.07 inference(forward_demodulation,[],[f1299,f1246])). 12.62/2.07 thf(f1246,plain,( 12.62/2.07 ($false = (sK12 @ sK25)) | ~spl0_40), 12.62/2.07 inference(binary_proxy_clausification,[],[f1229])). 12.62/2.07 thf(f1229,plain,( 12.62/2.07 ((((sK12 @ sK26) & (sK2 @ sK26 @ sK25)) => (sK12 @ sK25)) = $false) | ~spl0_40), 12.62/2.07 inference(beta_eta_normalization,[],[f1228])). 12.62/2.07 thf(f1228,plain,( 12.62/2.07 ($false = ((^[Y0 : a]: (((sK12 @ Y0) & (sK2 @ Y0 @ sK25)) => (sK12 @ sK25))) @ sK26)) | ~spl0_40), 12.62/2.07 inference(sigma_clausification,[],[f1222])). 12.62/2.07 thf(f1222,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: (((sK12 @ Y0) & (sK2 @ Y0 @ sK25)) => (sK12 @ sK25))))) | ~spl0_40), 12.62/2.07 inference(beta_eta_normalization,[],[f1218])). 12.62/2.07 thf(f1218,plain,( 12.62/2.07 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK12 @ Y0))))) @ sK25)) | ~spl0_40), 12.62/2.07 inference(sigma_clausification,[],[f1205])). 12.62/2.07 thf(f1205,plain,( 12.62/2.07 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK12 @ Y0)))))) = $false) | ~spl0_40), 12.62/2.07 inference(avatar_component_clause,[],[f1204])). 12.62/2.07 thf(f1204,plain,( 12.62/2.07 spl0_40 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK12 @ Y0)))))) = $false)), 12.62/2.07 introduced(avatar_definition,[new_symbols(naming,[spl0_40])])). 12.62/2.07 thf(f1299,plain,( 12.62/2.07 ($true = (sK12 @ sK25)) | (~spl0_9 | ~spl0_12 | ~spl0_40)), 12.62/2.07 inference(boolean_simplification,[],[f1298])). 12.62/2.07 thf(f1298,plain,( 12.62/2.07 ($true = ($true => (sK12 @ sK25))) | (~spl0_9 | ~spl0_12 | ~spl0_40)), 12.62/2.07 inference(forward_demodulation,[],[f1295,f1285])). 12.62/2.07 thf(f1285,plain,( 12.62/2.07 ($true = (sK12 @ sK27)) | ~spl0_40), 12.62/2.07 inference(boolean_simplification,[],[f1284])). 12.62/2.07 thf(f1284,plain,( 12.62/2.07 ($true = ((sK12 @ sK27) & $true)) | ~spl0_40), 12.62/2.07 inference(backward_demodulation,[],[f1279,f1282])). 12.62/2.07 thf(f1282,plain,( 12.62/2.07 ($true = (sK2 @ sK27 @ sK25)) | ~spl0_40), 12.62/2.07 inference(binary_proxy_clausification,[],[f1279])). 12.62/2.07 thf(f1279,plain,( 12.62/2.07 ($true = ((sK12 @ sK27) & (sK2 @ sK27 @ sK25))) | ~spl0_40), 12.62/2.07 inference(not_proxy_clausification,[],[f1262])). 12.62/2.07 thf(f1262,plain,( 12.62/2.07 ($false = (~ ((sK12 @ sK27) & (sK2 @ sK27 @ sK25)))) | ~spl0_40), 12.62/2.07 inference(beta_eta_normalization,[],[f1261])). 12.62/2.07 thf(f1261,plain,( 12.62/2.07 (((^[Y0 : a]: (~ ((sK12 @ Y0) & (sK2 @ Y0 @ sK25)))) @ sK27) = $false) | ~spl0_40), 12.62/2.07 inference(sigma_clausification,[],[f1251])). 12.62/2.07 thf(f1251,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: (~ ((sK12 @ Y0) & (sK2 @ Y0 @ sK25)))))) | ~spl0_40), 12.62/2.07 inference(boolean_simplification,[],[f1249])). 12.62/2.07 thf(f1249,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: (((sK12 @ Y0) & (sK2 @ Y0 @ sK25)) => $false)))) | ~spl0_40), 12.62/2.07 inference(backward_demodulation,[],[f1222,f1246])). 12.62/2.07 thf(f1295,plain,( 12.62/2.07 ($true = ((sK12 @ sK27) => (sK12 @ sK25))) | (~spl0_9 | ~spl0_12 | ~spl0_40)), 12.62/2.07 inference(boolean_simplification,[],[f1294])). 12.62/2.07 thf(f1294,plain,( 12.62/2.07 ($true = (($true & (sK12 @ sK27)) => (sK12 @ sK25))) | (~spl0_9 | ~spl0_12 | ~spl0_40)), 12.62/2.07 inference(boolean_simplification,[],[f1292])). 12.62/2.07 thf(f1292,plain,( 12.62/2.07 ($true = ((($true | (sK5 @ sK27 @ sK25)) & (sK12 @ sK27)) => (sK12 @ sK25))) | (~spl0_9 | ~spl0_12 | ~spl0_40)), 12.62/2.07 inference(superposition,[],[f1111,f1282])). 12.62/2.07 thf(f1111,plain,( 12.62/2.07 ( ! [X2 : a,X1 : a] : (($true = ((((sK2 @ X1 @ X2) | (sK5 @ X1 @ X2)) & (sK12 @ X1)) => (sK12 @ X2)))) ) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(beta_eta_normalization,[],[f1110])). 12.62/2.07 thf(f1110,plain,( 12.62/2.07 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: ((((sK2 @ X1 @ Y0) | (sK5 @ X1 @ Y0)) & (sK12 @ X1)) => (sK12 @ Y0))) @ X2))) ) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(pi_clausification,[],[f1097])). 12.62/2.07 thf(f1097,plain,( 12.62/2.07 ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((((sK2 @ X1 @ Y0) | (sK5 @ X1 @ Y0)) & (sK12 @ X1)) => (sK12 @ Y0)))))) ) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(beta_eta_normalization,[],[f1096])). 12.62/2.07 thf(f1096,plain,( 12.62/2.07 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK12 @ Y0)) => (sK12 @ Y1))))) @ X1))) ) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(pi_clausification,[],[f1026])). 12.62/2.07 thf(f1206,plain,( 12.62/2.07 spl0_39 | spl0_40 | ~spl0_9 | ~spl0_12), 12.62/2.07 inference(avatar_split_clause,[],[f1197,f353,f226,f1204,f1201])). 12.62/2.07 thf(f1197,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: ((sK2 @ sK11 @ Y0) => (sK12 @ Y0))))) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK12 @ Y0)))))) = $false) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(binary_proxy_clausification,[],[f1188])). 12.62/2.07 thf(f1188,plain,( 12.62/2.07 ($false = ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK11 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK12 @ Y0)))))))) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(not_proxy_clausification,[],[f1006])). 12.62/2.07 thf(f1006,plain,( 12.62/2.07 ($true = (~ ((!! @ a @ (^[Y0 : a]: ((sK2 @ sK11 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK12 @ Y0))))))))) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(boolean_simplification,[],[f1005])). 12.62/2.07 thf(f1005,plain,( 12.62/2.07 ($true = (((!! @ a @ (^[Y0 : a]: ((sK2 @ sK11 @ Y0) => (sK12 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK12 @ Y1) & (sK2 @ Y1 @ Y0)) => (sK12 @ Y0))))))) => $false)) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(superposition,[],[f993,f991])). 12.62/2.07 thf(f991,plain,( 12.62/2.07 ($false = (sK12 @ sK10)) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(boolean_simplification,[],[f990])). 12.62/2.07 thf(f990,plain,( 12.62/2.07 (($true => (sK12 @ sK10)) = $false) | (~spl0_9 | ~spl0_12)), 12.62/2.07 inference(backward_demodulation,[],[f974,f989])). 12.62/2.07 thf(f993,plain,( 12.62/2.07 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: ((sK2 @ sK11 @ Y0) => (X1 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((X1 @ Y1) & (sK2 @ Y1 @ Y0)) => (X1 @ Y0))))))) => (X1 @ sK10)))) ) | ~spl0_12), 12.62/2.07 inference(beta_eta_normalization,[],[f992])). 12.62/2.07 thf(f992,plain,( 12.62/2.07 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK11 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK10))) @ X1))) ) | ~spl0_12), 12.62/2.07 inference(pi_clausification,[],[f354])). 12.62/2.07 thf(f929,plain,( 12.62/2.07 ~spl0_10 | ~spl0_16), 12.62/2.07 inference(avatar_contradiction_clause,[],[f928])). 12.62/2.07 thf(f928,plain,( 12.62/2.07 $false | (~spl0_10 | ~spl0_16)), 12.62/2.07 inference(trivial_inequality_removal,[],[f927])). 12.62/2.07 thf(f927,plain,( 12.62/2.07 ($true = $false) | (~spl0_10 | ~spl0_16)), 12.62/2.07 inference(forward_demodulation,[],[f926,f863])). 12.62/2.07 thf(f863,plain,( 12.62/2.07 ($false = (sK16 @ sK22)) | ~spl0_16), 12.62/2.07 inference(boolean_simplification,[],[f862])). 12.62/2.07 thf(f862,plain,( 12.62/2.07 ($false = ($true => (sK16 @ sK22))) | ~spl0_16), 12.62/2.07 inference(backward_demodulation,[],[f849,f861])). 12.62/2.07 thf(f861,plain,( 12.62/2.07 ($true = (((sK5 @ sK23 @ sK22) | (sK2 @ sK23 @ sK22)) & (sK16 @ sK23))) | ~spl0_16), 12.62/2.07 inference(binary_proxy_clausification,[],[f849])). 12.62/2.07 thf(f849,plain,( 12.62/2.07 ($false = ((((sK5 @ sK23 @ sK22) | (sK2 @ sK23 @ sK22)) & (sK16 @ sK23)) => (sK16 @ sK22))) | ~spl0_16), 12.62/2.07 inference(beta_eta_normalization,[],[f848])). 12.62/2.07 thf(f848,plain,( 12.62/2.07 ($false = ((^[Y0 : a]: ((((sK5 @ Y0 @ sK22) | (sK2 @ Y0 @ sK22)) & (sK16 @ Y0)) => (sK16 @ sK22))) @ sK23)) | ~spl0_16), 12.62/2.07 inference(sigma_clausification,[],[f837])). 12.62/2.07 thf(f837,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: ((((sK5 @ Y0 @ sK22) | (sK2 @ Y0 @ sK22)) & (sK16 @ Y0)) => (sK16 @ sK22))))) | ~spl0_16), 12.62/2.07 inference(beta_eta_normalization,[],[f835])). 12.62/2.07 thf(f835,plain,( 12.62/2.07 (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y1 @ Y0) | (sK2 @ Y1 @ Y0)) & (sK16 @ Y1)) => (sK16 @ Y0))))) @ sK22) = $false) | ~spl0_16), 12.62/2.07 inference(sigma_clausification,[],[f497])). 12.62/2.07 thf(f497,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y1 @ Y0) | (sK2 @ Y1 @ Y0)) & (sK16 @ Y1)) => (sK16 @ Y0))))))) | ~spl0_16), 12.62/2.07 inference(avatar_component_clause,[],[f496])). 12.62/2.07 thf(f496,plain,( 12.62/2.07 spl0_16 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y1 @ Y0) | (sK2 @ Y1 @ Y0)) & (sK16 @ Y1)) => (sK16 @ Y0)))))))), 12.62/2.07 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])). 12.62/2.07 thf(f926,plain,( 12.62/2.07 ($true = (sK16 @ sK22)) | (~spl0_10 | ~spl0_16)), 12.62/2.07 inference(boolean_simplification,[],[f925])). 12.62/2.07 thf(f925,plain,( 12.62/2.07 ($true = ($true => (sK16 @ sK22))) | (~spl0_10 | ~spl0_16)), 12.62/2.07 inference(forward_demodulation,[],[f917,f906])). 12.62/2.07 thf(f906,plain,( 12.62/2.07 ($true = (sK16 @ sK24)) | ~spl0_16), 12.62/2.07 inference(boolean_simplification,[],[f905])). 12.62/2.07 thf(f905,plain,( 12.62/2.07 ($true = ($true & (sK16 @ sK24))) | ~spl0_16), 12.62/2.07 inference(backward_demodulation,[],[f886,f904])). 12.62/2.07 thf(f904,plain,( 12.62/2.07 ($true = ((sK5 @ sK24 @ sK22) | (sK2 @ sK24 @ sK22))) | ~spl0_16), 12.62/2.07 inference(binary_proxy_clausification,[],[f886])). 12.62/2.07 thf(f886,plain,( 12.62/2.07 ($true = (((sK5 @ sK24 @ sK22) | (sK2 @ sK24 @ sK22)) & (sK16 @ sK24))) | ~spl0_16), 12.62/2.07 inference(not_proxy_clausification,[],[f876])). 12.62/2.07 thf(f876,plain,( 12.62/2.07 ($false = (~ (((sK5 @ sK24 @ sK22) | (sK2 @ sK24 @ sK22)) & (sK16 @ sK24)))) | ~spl0_16), 12.62/2.07 inference(beta_eta_normalization,[],[f875])). 12.62/2.07 thf(f875,plain,( 12.62/2.07 (((^[Y0 : a]: (~ (((sK5 @ Y0 @ sK22) | (sK2 @ Y0 @ sK22)) & (sK16 @ Y0)))) @ sK24) = $false) | ~spl0_16), 12.62/2.07 inference(sigma_clausification,[],[f865])). 12.62/2.07 thf(f865,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: (~ (((sK5 @ Y0 @ sK22) | (sK2 @ Y0 @ sK22)) & (sK16 @ Y0)))))) | ~spl0_16), 12.62/2.07 inference(boolean_simplification,[],[f864])). 12.62/2.07 thf(f864,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: ((((sK5 @ Y0 @ sK22) | (sK2 @ Y0 @ sK22)) & (sK16 @ Y0)) => $false)))) | ~spl0_16), 12.62/2.07 inference(backward_demodulation,[],[f837,f863])). 12.62/2.07 thf(f917,plain,( 12.62/2.07 ($true = ((sK16 @ sK24) => (sK16 @ sK22))) | (~spl0_10 | ~spl0_16)), 12.62/2.07 inference(boolean_simplification,[],[f916])). 12.62/2.07 thf(f916,plain,( 12.62/2.07 ($true = (((sK16 @ sK24) & $true) => (sK16 @ sK22))) | (~spl0_10 | ~spl0_16)), 12.62/2.07 inference(superposition,[],[f443,f904])). 12.62/2.07 thf(f443,plain,( 12.62/2.07 ( ! [X2 : a,X1 : a] : (($true = (((sK16 @ X1) & ((sK5 @ X1 @ X2) | (sK2 @ X1 @ X2))) => (sK16 @ X2)))) ) | ~spl0_10), 12.62/2.07 inference(beta_eta_normalization,[],[f442])). 12.62/2.07 thf(f442,plain,( 12.62/2.07 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: (((sK16 @ X1) & ((sK5 @ X1 @ Y0) | (sK2 @ X1 @ Y0))) => (sK16 @ Y0))) @ X2))) ) | ~spl0_10), 12.62/2.07 inference(pi_clausification,[],[f441])). 12.62/2.07 thf(f441,plain,( 12.62/2.07 ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: (((sK16 @ X1) & ((sK5 @ X1 @ Y0) | (sK2 @ X1 @ Y0))) => (sK16 @ Y0)))))) ) | ~spl0_10), 12.62/2.07 inference(beta_eta_normalization,[],[f440])). 12.62/2.07 thf(f440,plain,( 12.62/2.07 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK16 @ Y0) & ((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1))) => (sK16 @ Y1))))) @ X1))) ) | ~spl0_10), 12.62/2.07 inference(pi_clausification,[],[f380])). 12.62/2.07 thf(f380,plain,( 12.62/2.07 ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK16 @ Y0) & ((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1))) => (sK16 @ Y1))))))) | ~spl0_10), 12.62/2.07 inference(binary_proxy_clausification,[],[f374])). 12.62/2.07 thf(f374,plain,( 12.62/2.07 (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK16 @ Y0) & ((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1))) => (sK16 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK13 @ Y0) | (sK2 @ sK13 @ Y0)) => (sK16 @ Y0))))) = $true) | ~spl0_10), 12.62/2.07 inference(binary_proxy_clausification,[],[f372])). 12.62/2.07 thf(f372,plain,( 12.62/2.07 ($false = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK16 @ Y0) & ((sK5 @ Y0 @ Y1) | (sK2 @ Y0 @ Y1))) => (sK16 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK13 @ Y0) | (sK2 @ sK13 @ Y0)) => (sK16 @ Y0))))) => (sK16 @ sK15))) | ~spl0_10), 12.62/2.07 inference(beta_eta_normalization,[],[f371])). 12.62/2.07 thf(f371,plain,( 12.62/2.07 ($false = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK13 @ Y1) | (sK2 @ sK13 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))) @ sK16)) | ~spl0_10), 12.62/2.07 inference(sigma_clausification,[],[f370])). 12.62/2.07 thf(f370,plain,( 12.62/2.07 ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK13 @ Y1) | (sK2 @ sK13 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15))))) | ~spl0_10), 12.62/2.07 inference(boolean_simplification,[],[f369])). 12.62/2.07 thf(f369,plain,( 12.62/2.07 ($false = ($true => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK13 @ Y1) | (sK2 @ sK13 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15)))))) | ~spl0_10), 12.62/2.07 inference(backward_demodulation,[],[f366,f368])). 12.62/2.07 thf(f368,plain,( 12.62/2.07 ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK13 @ Y1) | (sK2 @ sK13 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y2 @ Y1) | (sK2 @ Y2 @ Y1)) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK14)))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK14 @ Y1) | (sK2 @ sK14 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK15)))))) | ~spl0_10), 12.62/2.07 inference(binary_proxy_clausification,[],[f366])). 12.62/2.07 thf(f366,plain,( 12.62/2.07 ($false = (((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK13 @ Y1) | (sK2 @ sK13 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y2 @ Y1) | (sK2 @ Y2 @ Y1)) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK14)))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK14 @ Y1) | (sK2 @ sK14 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK15))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y1) & ((sK5 @ Y1 @ Y2) | (sK2 @ Y1 @ Y2))) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK5 @ sK13 @ Y1) | (sK2 @ sK13 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK15)))))) | ~spl0_10), 12.62/2.07 inference(beta_eta_normalization,[],[f365])). 12.62/2.07 thf(f365,plain,( 12.62/2.07 ($false = ((^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((sK5 @ sK13 @ Y2) | (sK2 @ sK13 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK5 @ Y3 @ Y2) | (sK2 @ Y3 @ Y2)) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ sK14)))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((sK5 @ sK14 @ Y2) | (sK2 @ sK14 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK2 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ Y0))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & ((sK5 @ Y2 @ Y3) | (sK2 @ Y2 @ Y3))) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ sK13 @ Y2) | (sK2 @ sK13 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0)))))) @ sK15)) | ~spl0_10), 12.62/2.07 inference(sigma_clausification,[],[f364])). 12.62/2.07 thf(f364,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((sK5 @ sK13 @ Y2) | (sK2 @ sK13 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK5 @ Y3 @ Y2) | (sK2 @ Y3 @ Y2)) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ sK14)))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (((sK5 @ sK14 @ Y2) | (sK2 @ sK14 @ Y2)) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((((sK2 @ Y2 @ Y3) | (sK5 @ Y2 @ Y3)) & (Y1 @ Y2)) => (Y1 @ Y3))))))) => (Y1 @ Y0))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y2) & ((sK5 @ Y2 @ Y3) | (sK2 @ Y2 @ Y3))) => (Y1 @ Y3)))))) & (!! @ a @ (^[Y2 : a]: (((sK5 @ sK13 @ Y2) | (sK2 @ sK13 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ Y0)))))))) | ~spl0_10), 12.62/2.07 inference(beta_eta_normalization,[],[f363])). 12.62/2.07 thf(f363,plain,( 12.62/2.07 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((sK5 @ sK13 @ Y3) | (sK2 @ sK13 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y4 @ Y3) | (sK2 @ Y4 @ Y3)) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((sK5 @ Y0 @ Y3) | (sK2 @ Y0 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK2 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y1))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & ((sK5 @ Y3 @ Y4) | (sK2 @ Y3 @ Y4))) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ sK13 @ Y3) | (sK2 @ sK13 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1)))))))) @ sK14)) | ~spl0_10), 12.62/2.07 inference(sigma_clausification,[],[f362])). 12.62/2.07 thf(f362,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((sK5 @ sK13 @ Y3) | (sK2 @ sK13 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK5 @ Y4 @ Y3) | (sK2 @ Y4 @ Y3)) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (((sK5 @ Y0 @ Y3) | (sK2 @ Y0 @ Y3)) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK2 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4))))))) => (Y2 @ Y1))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y3) & ((sK5 @ Y3 @ Y4) | (sK2 @ Y3 @ Y4))) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK5 @ sK13 @ Y3) | (sK2 @ sK13 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y1)))))))))) | ~spl0_10), 12.62/2.07 inference(beta_eta_normalization,[],[f361])). 12.62/2.07 thf(f361,plain,( 12.62/2.07 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4)) & (Y3 @ Y5)) => (Y3 @ Y4))))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK2 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK5 @ Y4 @ Y5) | (sK2 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2)))))))))) @ sK13)) | ~spl0_10), 12.62/2.07 inference(sigma_clausification,[],[f230])). 12.62/2.07 thf(f230,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4)) & (Y3 @ Y5)) => (Y3 @ Y4))))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK2 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK5 @ Y4 @ Y5) | (sK2 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2)))))))))))) | ~spl0_10), 12.62/2.07 inference(avatar_component_clause,[],[f229])). 12.62/2.07 thf(f229,plain,( 12.62/2.07 spl0_10 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4)) & (Y3 @ Y5)) => (Y3 @ Y4))))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK2 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK5 @ Y4 @ Y5) | (sK2 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2))))))))))))), 12.62/2.07 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])). 12.62/2.07 thf(f821,plain,( 12.62/2.07 ~spl0_10 | ~spl0_15 | ~spl0_17), 12.62/2.07 inference(avatar_contradiction_clause,[],[f820])). 12.62/2.07 thf(f820,plain,( 12.62/2.07 $false | (~spl0_10 | ~spl0_15 | ~spl0_17)), 12.62/2.07 inference(trivial_inequality_removal,[],[f817])). 12.62/2.07 thf(f817,plain,( 12.62/2.07 ($true = $false) | (~spl0_10 | ~spl0_15 | ~spl0_17)), 12.62/2.07 inference(superposition,[],[f506,f802])). 12.62/2.07 thf(f802,plain,( 12.62/2.07 ($false = (((sK5 @ sK14 @ sK21) | (sK2 @ sK14 @ sK21)) => (sK16 @ sK21))) | ~spl0_17), 12.62/2.07 inference(beta_eta_normalization,[],[f798])). 12.62/2.07 thf(f798,plain,( 12.62/2.07 ($false = ((^[Y0 : a]: (((sK5 @ sK14 @ Y0) | (sK2 @ sK14 @ Y0)) => (sK16 @ Y0))) @ sK21)) | ~spl0_17), 12.62/2.07 inference(sigma_clausification,[],[f622])). 12.62/2.07 thf(f622,plain,( 12.62/2.07 ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK14 @ Y0) | (sK2 @ sK14 @ Y0)) => (sK16 @ Y0)))) = $false) | ~spl0_17), 12.62/2.07 inference(avatar_component_clause,[],[f621])). 12.62/2.07 thf(f621,plain,( 12.62/2.07 spl0_17 <=> ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK14 @ Y0) | (sK2 @ sK14 @ Y0)) => (sK16 @ Y0)))) = $false)), 12.62/2.07 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])). 12.62/2.07 thf(f506,plain,( 12.62/2.07 ( ! [X0 : a] : (($true = (((sK5 @ sK14 @ X0) | (sK2 @ sK14 @ X0)) => (sK16 @ X0)))) ) | (~spl0_10 | ~spl0_15)), 12.62/2.07 inference(boolean_simplification,[],[f501])). 12.62/2.07 thf(f501,plain,( 12.62/2.07 ( ! [X0 : a] : (($true = (($true & ((sK5 @ sK14 @ X0) | (sK2 @ sK14 @ X0))) => (sK16 @ X0)))) ) | (~spl0_10 | ~spl0_15)), 12.62/2.07 inference(superposition,[],[f443,f494])). 12.62/2.07 thf(f494,plain,( 12.62/2.07 ($true = (sK16 @ sK14)) | ~spl0_15), 12.62/2.07 inference(avatar_component_clause,[],[f493])). 12.62/2.07 thf(f493,plain,( 12.62/2.07 spl0_15 <=> ($true = (sK16 @ sK14))), 12.62/2.07 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])). 12.62/2.07 thf(f791,plain,( 12.62/2.07 ~spl0_10 | ~spl0_18 | ~spl0_23), 12.62/2.07 inference(avatar_contradiction_clause,[],[f790])). 12.62/2.07 thf(f790,plain,( 12.62/2.07 $false | (~spl0_10 | ~spl0_18 | ~spl0_23)), 12.62/2.07 inference(trivial_inequality_removal,[],[f789])). 12.62/2.07 thf(f789,plain,( 12.62/2.07 ($true = $false) | (~spl0_10 | ~spl0_18 | ~spl0_23)), 12.62/2.07 inference(forward_demodulation,[],[f788,f636])). 12.62/2.07 thf(f636,plain,( 12.62/2.07 ($false = (sK16 @ sK18)) | ~spl0_18), 12.62/2.07 inference(binary_proxy_clausification,[],[f635])). 12.62/2.07 thf(f635,plain,( 12.62/2.07 ($false = ((((sK2 @ sK17 @ sK18) | (sK5 @ sK17 @ sK18)) & (sK16 @ sK17)) => (sK16 @ sK18))) | ~spl0_18), 12.62/2.07 inference(beta_eta_normalization,[],[f634])). 12.62/2.07 thf(f634,plain,( 12.62/2.07 ($false = ((^[Y0 : a]: ((((sK2 @ sK17 @ Y0) | (sK5 @ sK17 @ Y0)) & (sK16 @ sK17)) => (sK16 @ Y0))) @ sK18)) | ~spl0_18), 12.62/2.07 inference(sigma_clausification,[],[f631])). 12.62/2.07 thf(f631,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: ((((sK2 @ sK17 @ Y0) | (sK5 @ sK17 @ Y0)) & (sK16 @ sK17)) => (sK16 @ Y0))))) | ~spl0_18), 12.62/2.07 inference(beta_eta_normalization,[],[f629])). 12.62/2.07 thf(f629,plain,( 12.62/2.07 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK16 @ Y0)) => (sK16 @ Y1))))) @ sK17)) | ~spl0_18), 12.62/2.07 inference(sigma_clausification,[],[f625])). 12.62/2.07 thf(f625,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK16 @ Y0)) => (sK16 @ Y1))))))) | ~spl0_18), 12.62/2.07 inference(avatar_component_clause,[],[f624])). 12.62/2.07 thf(f624,plain,( 12.62/2.07 spl0_18 <=> ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK16 @ Y0)) => (sK16 @ Y1)))))))), 12.62/2.07 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])). 12.62/2.07 thf(f788,plain,( 12.62/2.07 ($true = (sK16 @ sK18)) | (~spl0_10 | ~spl0_18 | ~spl0_23)), 12.62/2.07 inference(boolean_simplification,[],[f787])). 12.62/2.07 thf(f787,plain,( 12.62/2.07 ($true = ($true => (sK16 @ sK18))) | (~spl0_10 | ~spl0_18 | ~spl0_23)), 12.62/2.07 inference(forward_demodulation,[],[f784,f742])). 12.62/2.07 thf(f742,plain,( 12.62/2.07 ($true = (sK16 @ sK17)) | ~spl0_18), 12.62/2.07 inference(binary_proxy_clausification,[],[f637])). 12.62/2.07 thf(f637,plain,( 12.62/2.07 ($true = (((sK2 @ sK17 @ sK18) | (sK5 @ sK17 @ sK18)) & (sK16 @ sK17))) | ~spl0_18), 12.62/2.07 inference(binary_proxy_clausification,[],[f635])). 12.62/2.07 thf(f784,plain,( 12.62/2.07 ($true = ((sK16 @ sK17) => (sK16 @ sK18))) | (~spl0_10 | ~spl0_23)), 12.62/2.07 inference(boolean_simplification,[],[f783])). 12.62/2.07 thf(f783,plain,( 12.62/2.07 ($true = (((sK16 @ sK17) & $true) => (sK16 @ sK18))) | (~spl0_10 | ~spl0_23)), 12.62/2.07 inference(boolean_simplification,[],[f781])). 12.62/2.07 thf(f781,plain,( 12.62/2.07 ($true = (((sK16 @ sK17) & ($true | (sK2 @ sK17 @ sK18))) => (sK16 @ sK18))) | (~spl0_10 | ~spl0_23)), 12.62/2.07 inference(superposition,[],[f443,f761])). 12.62/2.07 thf(f761,plain,( 12.62/2.07 ($true = (sK5 @ sK17 @ sK18)) | ~spl0_23), 12.62/2.07 inference(avatar_component_clause,[],[f760])). 12.62/2.07 thf(f760,plain,( 12.62/2.07 spl0_23 <=> ($true = (sK5 @ sK17 @ sK18))), 12.62/2.07 introduced(avatar_definition,[new_symbols(naming,[spl0_23])])). 12.62/2.07 thf(f778,plain,( 12.62/2.07 ~spl0_10 | ~spl0_18 | ~spl0_24), 12.62/2.07 inference(avatar_contradiction_clause,[],[f777])). 12.62/2.07 thf(f777,plain,( 12.62/2.07 $false | (~spl0_10 | ~spl0_18 | ~spl0_24)), 12.62/2.07 inference(trivial_inequality_removal,[],[f776])). 12.62/2.07 thf(f776,plain,( 12.62/2.07 ($true = $false) | (~spl0_10 | ~spl0_18 | ~spl0_24)), 12.62/2.07 inference(forward_demodulation,[],[f775,f636])). 12.62/2.07 thf(f775,plain,( 12.62/2.07 ($true = (sK16 @ sK18)) | (~spl0_10 | ~spl0_18 | ~spl0_24)), 12.62/2.07 inference(boolean_simplification,[],[f774])). 12.62/2.07 thf(f774,plain,( 12.62/2.07 ($true = ($true => (sK16 @ sK18))) | (~spl0_10 | ~spl0_18 | ~spl0_24)), 12.62/2.07 inference(forward_demodulation,[],[f771,f742])). 12.62/2.07 thf(f771,plain,( 12.62/2.07 ($true = ((sK16 @ sK17) => (sK16 @ sK18))) | (~spl0_10 | ~spl0_24)), 12.62/2.07 inference(boolean_simplification,[],[f770])). 12.62/2.07 thf(f770,plain,( 12.62/2.07 ($true = (((sK16 @ sK17) & $true) => (sK16 @ sK18))) | (~spl0_10 | ~spl0_24)), 12.62/2.07 inference(boolean_simplification,[],[f768])). 12.62/2.07 thf(f768,plain,( 12.62/2.07 ($true = (((sK16 @ sK17) & ((sK5 @ sK17 @ sK18) | $true)) => (sK16 @ sK18))) | (~spl0_10 | ~spl0_24)), 12.62/2.07 inference(superposition,[],[f443,f764])). 12.62/2.07 thf(f764,plain,( 12.62/2.07 ((sK2 @ sK17 @ sK18) = $true) | ~spl0_24), 12.62/2.07 inference(avatar_component_clause,[],[f763])). 12.62/2.07 thf(f763,plain,( 12.62/2.07 spl0_24 <=> ((sK2 @ sK17 @ sK18) = $true)), 12.62/2.07 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])). 12.62/2.07 thf(f765,plain,( 12.62/2.07 spl0_23 | spl0_24 | ~spl0_18), 12.62/2.07 inference(avatar_split_clause,[],[f756,f624,f763,f760])). 12.62/2.07 thf(f756,plain,( 12.62/2.07 ($true = (sK5 @ sK17 @ sK18)) | ((sK2 @ sK17 @ sK18) = $true) | ~spl0_18), 12.62/2.07 inference(binary_proxy_clausification,[],[f745])). 12.62/2.07 thf(f745,plain,( 12.62/2.07 ($true = ((sK2 @ sK17 @ sK18) | (sK5 @ sK17 @ sK18))) | ~spl0_18), 12.62/2.07 inference(boolean_simplification,[],[f744])). 12.62/2.07 thf(f744,plain,( 12.62/2.07 ($true = (((sK2 @ sK17 @ sK18) | (sK5 @ sK17 @ sK18)) & $true)) | ~spl0_18), 12.62/2.07 inference(backward_demodulation,[],[f637,f742])). 12.62/2.07 thf(f626,plain,( 12.62/2.07 spl0_17 | spl0_18 | ~spl0_10), 12.62/2.07 inference(avatar_split_clause,[],[f617,f229,f624,f621])). 12.62/2.07 thf(f617,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK16 @ Y0)) => (sK16 @ Y1))))))) | ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK14 @ Y0) | (sK2 @ sK14 @ Y0)) => (sK16 @ Y0)))) = $false) | ~spl0_10), 12.62/2.07 inference(binary_proxy_clausification,[],[f593])). 12.62/2.07 thf(f593,plain,( 12.62/2.07 ($false = ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK14 @ Y0) | (sK2 @ sK14 @ Y0)) => (sK16 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK16 @ Y0)) => (sK16 @ Y1)))))))) | ~spl0_10), 12.62/2.07 inference(not_proxy_clausification,[],[f521])). 12.62/2.07 thf(f521,plain,( 12.62/2.07 ($true = (~ ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK14 @ Y0) | (sK2 @ sK14 @ Y0)) => (sK16 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK16 @ Y0)) => (sK16 @ Y1))))))))) | ~spl0_10), 12.62/2.07 inference(boolean_simplification,[],[f517])). 12.62/2.07 thf(f517,plain,( 12.62/2.07 ($true = (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK14 @ Y0) | (sK2 @ sK14 @ Y0)) => (sK16 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK16 @ Y0)) => (sK16 @ Y1))))))) => $false)) | ~spl0_10), 12.62/2.07 inference(superposition,[],[f510,f373])). 12.62/2.07 thf(f373,plain,( 12.62/2.07 ($false = (sK16 @ sK15)) | ~spl0_10), 12.62/2.07 inference(binary_proxy_clausification,[],[f372])). 12.62/2.07 thf(f510,plain,( 12.62/2.07 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK14 @ Y0) | (sK2 @ sK14 @ Y0)) => (X1 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (X1 @ Y0)) => (X1 @ Y1))))))) => (X1 @ sK15)))) ) | ~spl0_10), 12.62/2.07 inference(beta_eta_normalization,[],[f509])). 12.62/2.07 thf(f509,plain,( 12.62/2.07 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK14 @ Y1) | (sK2 @ sK14 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK15))) @ X1))) ) | ~spl0_10), 12.62/2.07 inference(pi_clausification,[],[f407])). 12.62/2.07 thf(f407,plain,( 12.62/2.07 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK14 @ Y1) | (sK2 @ sK14 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK15))))) | ~spl0_10), 12.62/2.07 inference(binary_proxy_clausification,[],[f368])). 12.62/2.07 thf(f498,plain,( 12.62/2.07 spl0_15 | spl0_16 | ~spl0_10), 12.62/2.07 inference(avatar_split_clause,[],[f491,f229,f496,f493])). 12.62/2.07 thf(f491,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y1 @ Y0) | (sK2 @ Y1 @ Y0)) & (sK16 @ Y1)) => (sK16 @ Y0))))))) | ($true = (sK16 @ sK14)) | ~spl0_10), 12.62/2.07 inference(binary_proxy_clausification,[],[f430])). 12.62/2.07 thf(f430,plain,( 12.62/2.07 (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y1 @ Y0) | (sK2 @ Y1 @ Y0)) & (sK16 @ Y1)) => (sK16 @ Y0)))))) => (sK16 @ sK14)) = $true) | ~spl0_10), 12.62/2.07 inference(boolean_simplification,[],[f429])). 12.62/2.07 thf(f429,plain,( 12.62/2.07 ($true = (($true & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y1 @ Y0) | (sK2 @ Y1 @ Y0)) & (sK16 @ Y1)) => (sK16 @ Y0))))))) => (sK16 @ sK14))) | ~spl0_10), 12.62/2.07 inference(superposition,[],[f418,f382])). 12.62/2.07 thf(f382,plain,( 12.62/2.07 ($true = (!! @ a @ (^[Y0 : a]: (((sK5 @ sK13 @ Y0) | (sK2 @ sK13 @ Y0)) => (sK16 @ Y0))))) | ~spl0_10), 12.62/2.07 inference(boolean_simplification,[],[f381])). 12.62/2.07 thf(f381,plain,( 12.62/2.07 (($true & (!! @ a @ (^[Y0 : a]: (((sK5 @ sK13 @ Y0) | (sK2 @ sK13 @ Y0)) => (sK16 @ Y0))))) = $true) | ~spl0_10), 12.62/2.07 inference(backward_demodulation,[],[f374,f380])). 12.62/2.07 thf(f418,plain,( 12.62/2.07 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK13 @ Y0) | (sK2 @ sK13 @ Y0)) => (X1 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK5 @ Y1 @ Y0) | (sK2 @ Y1 @ Y0)) & (X1 @ Y1)) => (X1 @ Y0))))))) => (X1 @ sK14)))) ) | ~spl0_10), 12.62/2.07 inference(beta_eta_normalization,[],[f417])). 12.62/2.07 thf(f417,plain,( 12.62/2.07 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK13 @ Y1) | (sK2 @ sK13 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y2 @ Y1) | (sK2 @ Y2 @ Y1)) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK14))) @ X1))) ) | ~spl0_10), 12.62/2.07 inference(pi_clausification,[],[f410])). 12.62/2.07 thf(f410,plain,( 12.62/2.07 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK13 @ Y1) | (sK2 @ sK13 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y2 @ Y1) | (sK2 @ Y2 @ Y1)) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK14))))) | ~spl0_10), 12.62/2.07 inference(boolean_simplification,[],[f409])). 12.62/2.07 thf(f409,plain,( 12.62/2.07 ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK13 @ Y1) | (sK2 @ sK13 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK5 @ Y2 @ Y1) | (sK2 @ Y2 @ Y1)) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK14)))) & $true)) | ~spl0_10), 12.62/2.07 inference(backward_demodulation,[],[f368,f407])). 12.62/2.07 thf(f355,plain,( 12.62/2.07 spl0_11 | spl0_12 | ~spl0_9), 12.62/2.07 inference(avatar_split_clause,[],[f348,f226,f353,f350])). 12.62/2.07 thf(f348,plain,( 12.62/2.07 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK11 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK10))))) | ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK11 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK10)))) = $true) | ~spl0_9), 12.62/2.07 inference(binary_proxy_clausification,[],[f310])). 12.62/2.07 thf(f310,plain,( 12.62/2.07 ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK11 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK10)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK11 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK10)))))) | ~spl0_9), 12.62/2.07 inference(binary_proxy_clausification,[],[f298])). 12.62/2.07 thf(f298,plain,( 12.62/2.07 ($false = (((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK5 @ sK11 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK5 @ Y2 @ Y1) & (Y0 @ Y2)) => (Y0 @ Y1))))))) => (Y0 @ sK10)))) | (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((sK2 @ sK11 @ Y1) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((Y0 @ Y2) & (sK2 @ Y2 @ Y1)) => (Y0 @ Y1))))))) => (Y0 @ sK10))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (((sK2 @ sK11 @ Y1) | (sK5 @ sK11 @ Y1)) => (Y0 @ Y1))))) => (Y0 @ sK10)))))) | ~spl0_9), 12.62/2.07 inference(beta_eta_normalization,[],[f297])). 12.62/2.07 thf(f297,plain,( 12.62/2.07 ($false = ((^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK5 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ sK10)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ 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]: (((sK2 @ Y0 @ Y2) | (sK5 @ Y0 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK10)))))) @ sK11)) | ~spl0_9), 12.62/2.07 inference(sigma_clausification,[],[f287])). 12.62/2.07 thf(f287,plain,( 12.62/2.07 ((!! @ a @ (^[Y0 : a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK5 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK5 @ Y3 @ Y2) & (Y1 @ Y3)) => (Y1 @ Y2))))))) => (Y1 @ sK10)))) | (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((sK2 @ Y0 @ Y2) => (Y1 @ Y2)))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y1 @ Y3) & (sK2 @ Y3 @ 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]: (((sK2 @ Y0 @ Y2) | (sK5 @ Y0 @ Y2)) => (Y1 @ Y2))))) => (Y1 @ sK10))))))) = $false) | ~spl0_9), 12.62/2.07 inference(beta_eta_normalization,[],[f286])). 12.62/2.07 thf(f286,plain,( 12.62/2.07 ($false = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ 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]: (((sK2 @ Y1 @ Y3) | (sK5 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0)))))))) @ sK10)) | ~spl0_9), 12.62/2.07 inference(sigma_clausification,[],[f227])). 12.62/2.07 thf(f272,plain,( 12.62/2.07 ~spl0_4 | ~spl0_7), 12.62/2.07 inference(avatar_contradiction_clause,[],[f271])). 12.62/2.07 thf(f271,plain,( 12.62/2.07 $false | (~spl0_4 | ~spl0_7)), 12.62/2.07 inference(trivial_inequality_removal,[],[f270])). 12.62/2.07 thf(f270,plain,( 12.62/2.07 ($true = $false) | (~spl0_4 | ~spl0_7)), 12.62/2.07 inference(backward_demodulation,[],[f241,f269])). 12.62/2.07 thf(f269,plain,( 12.62/2.07 ($false = (sK6 @ sK9)) | (~spl0_4 | ~spl0_7)), 12.62/2.07 inference(boolean_simplification,[],[f268])). 12.62/2.07 thf(f268,plain,( 12.62/2.07 (($true => (sK6 @ sK9)) = $false) | (~spl0_4 | ~spl0_7)), 12.62/2.07 inference(boolean_simplification,[],[f267])). 12.62/2.07 thf(f267,plain,( 12.62/2.07 ($false = (($true | (sK2 @ sK3 @ sK9)) => (sK6 @ sK9))) | (~spl0_4 | ~spl0_7)), 12.62/2.07 inference(forward_demodulation,[],[f264,f217])). 12.62/2.07 thf(f217,plain,( 12.62/2.07 ($true = (sK5 @ sK3 @ sK9)) | ~spl0_7), 12.62/2.07 inference(avatar_component_clause,[],[f216])). 12.62/2.07 thf(f216,plain,( 12.62/2.07 spl0_7 <=> ($true = (sK5 @ sK3 @ sK9))), 12.62/2.07 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])). 12.62/2.07 thf(f264,plain,( 12.62/2.07 ($false = (((sK5 @ sK3 @ sK9) | (sK2 @ sK3 @ sK9)) => (sK6 @ sK9))) | ~spl0_4), 12.62/2.07 inference(beta_eta_normalization,[],[f262])). 12.62/2.07 thf(f262,plain,( 12.62/2.07 ($false = ((^[Y0 : a]: (((sK5 @ sK3 @ Y0) | (sK2 @ sK3 @ Y0)) => (sK6 @ Y0))) @ sK9)) | ~spl0_4), 12.62/2.07 inference(sigma_clausification,[],[f138])). 12.62/2.07 thf(f241,plain,( 12.62/2.07 ($true = (sK6 @ sK9)) | ~spl0_7), 12.62/2.07 inference(boolean_simplification,[],[f240])). 12.62/2.07 thf(f240,plain,( 12.62/2.07 ($true = ($true => (sK6 @ sK9))) | ~spl0_7), 12.62/2.07 inference(boolean_simplification,[],[f236])). 12.62/2.07 thf(f236,plain,( 12.62/2.07 ($true = (((sK2 @ sK3 @ sK9) | $true) => (sK6 @ sK9))) | ~spl0_7), 12.62/2.07 inference(superposition,[],[f35,f217])). 12.62/2.07 thf(f231,plain,( 12.62/2.07 spl0_9 | spl0_10 | ~spl0_1), 12.62/2.07 inference(avatar_split_clause,[],[f224,f47,f229,f226])). 12.62/2.07 thf(f47,plain,( 12.62/2.07 spl0_1 <=> ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ 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]: (((sK2 @ Y1 @ Y3) | (sK5 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0))))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4)) & (Y3 @ Y5)) => (Y3 @ Y4))))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK2 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK5 @ Y4 @ Y5) | (sK2 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2)))))))))))))), 12.62/2.07 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 12.62/2.07 thf(f224,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4)) & (Y3 @ Y5)) => (Y3 @ Y4))))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK2 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK5 @ Y4 @ Y5) | (sK2 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2)))))))))))) | ($false = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ Y3)) => (Y2 @ Y3))))))) => (Y2 @ Y0))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((((sK2 @ Y3 @ Y4) | (sK5 @ Y3 @ Y4)) & (Y2 @ Y3)) => (Y2 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (((sK2 @ Y1 @ Y3) | (sK5 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0)))))))))) | ~spl0_1), 12.62/2.07 inference(binary_proxy_clausification,[],[f48])). 12.62/2.07 thf(f48,plain,( 12.62/2.07 ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ 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]: (((sK2 @ Y1 @ Y3) | (sK5 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0))))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4)) & (Y3 @ Y5)) => (Y3 @ Y4))))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK2 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK5 @ Y4 @ Y5) | (sK2 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2))))))))))))) | ~spl0_1), 12.62/2.07 inference(avatar_component_clause,[],[f47])). 12.62/2.07 thf(f221,plain,( 12.62/2.07 spl0_7 | spl0_8 | ~spl0_4), 12.62/2.07 inference(avatar_split_clause,[],[f214,f137,f219,f216])). 12.62/2.07 thf(f214,plain,( 12.62/2.07 ($true = (sK2 @ sK3 @ sK9)) | ($true = (sK5 @ sK3 @ sK9)) | ~spl0_4), 12.62/2.07 inference(binary_proxy_clausification,[],[f202])). 12.62/2.07 thf(f202,plain,( 12.62/2.07 ($true = ((sK5 @ sK3 @ sK9) | (sK2 @ sK3 @ sK9))) | ~spl0_4), 12.62/2.07 inference(binary_proxy_clausification,[],[f198])). 12.62/2.07 thf(f198,plain,( 12.62/2.07 ($false = (((sK5 @ sK3 @ sK9) | (sK2 @ sK3 @ sK9)) => (sK6 @ sK9))) | ~spl0_4), 12.62/2.07 inference(beta_eta_normalization,[],[f196])). 12.62/2.07 thf(f196,plain,( 12.62/2.07 ($false = ((^[Y0 : a]: (((sK5 @ sK3 @ Y0) | (sK2 @ sK3 @ Y0)) => (sK6 @ Y0))) @ sK9)) | ~spl0_4), 12.62/2.07 inference(sigma_clausification,[],[f138])). 12.62/2.07 thf(f193,plain,( 12.62/2.07 ~spl0_3), 12.62/2.07 inference(avatar_contradiction_clause,[],[f192])). 12.62/2.07 thf(f192,plain,( 12.62/2.07 $false | ~spl0_3), 12.62/2.07 inference(trivial_inequality_removal,[],[f191])). 12.62/2.07 thf(f191,plain,( 12.62/2.07 ($true = $false) | ~spl0_3), 12.62/2.07 inference(forward_demodulation,[],[f190,f149])). 12.62/2.07 thf(f149,plain,( 12.62/2.07 ($false = (sK6 @ sK8)) | ~spl0_3), 12.62/2.07 inference(binary_proxy_clausification,[],[f148])). 12.62/2.07 thf(f148,plain,( 12.62/2.07 ($false = ((((sK2 @ sK7 @ sK8) | (sK5 @ sK7 @ sK8)) & (sK6 @ sK7)) => (sK6 @ sK8))) | ~spl0_3), 12.62/2.07 inference(beta_eta_normalization,[],[f147])). 12.62/2.07 thf(f147,plain,( 12.62/2.07 ($false = ((^[Y0 : a]: ((((sK2 @ sK7 @ Y0) | (sK5 @ sK7 @ Y0)) & (sK6 @ sK7)) => (sK6 @ Y0))) @ sK8)) | ~spl0_3), 12.62/2.07 inference(sigma_clausification,[],[f144])). 12.62/2.07 thf(f144,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: ((((sK2 @ sK7 @ Y0) | (sK5 @ sK7 @ Y0)) & (sK6 @ sK7)) => (sK6 @ Y0))))) | ~spl0_3), 12.62/2.07 inference(beta_eta_normalization,[],[f142])). 12.62/2.07 thf(f142,plain,( 12.62/2.07 (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1))))) @ sK7) = $false) | ~spl0_3), 12.62/2.07 inference(sigma_clausification,[],[f135])). 12.62/2.07 thf(f135,plain,( 12.62/2.07 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1)))))) = $false) | ~spl0_3), 12.62/2.07 inference(avatar_component_clause,[],[f134])). 12.62/2.07 thf(f134,plain,( 12.62/2.07 spl0_3 <=> ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1)))))) = $false)), 12.62/2.07 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 12.62/2.07 thf(f190,plain,( 12.62/2.07 ($true = (sK6 @ sK8)) | ~spl0_3), 12.62/2.07 inference(boolean_simplification,[],[f189])). 12.62/2.07 thf(f189,plain,( 12.62/2.07 ($true = ($true => (sK6 @ sK8))) | ~spl0_3), 12.62/2.07 inference(forward_demodulation,[],[f181,f167])). 12.62/2.07 thf(f167,plain,( 12.62/2.07 ((sK6 @ sK7) = $true) | ~spl0_3), 12.62/2.07 inference(binary_proxy_clausification,[],[f150])). 12.62/2.07 thf(f150,plain,( 12.62/2.07 ($true = (((sK2 @ sK7 @ sK8) | (sK5 @ sK7 @ sK8)) & (sK6 @ sK7))) | ~spl0_3), 12.62/2.07 inference(binary_proxy_clausification,[],[f148])). 12.62/2.07 thf(f181,plain,( 12.62/2.07 ($true = ((sK6 @ sK7) => (sK6 @ sK8))) | ~spl0_3), 12.62/2.07 inference(boolean_simplification,[],[f180])). 12.62/2.07 thf(f180,plain,( 12.62/2.07 ((((sK6 @ sK7) & $true) => (sK6 @ sK8)) = $true) | ~spl0_3), 12.62/2.07 inference(superposition,[],[f81,f170])). 12.62/2.07 thf(f170,plain,( 12.62/2.07 ($true = ((sK2 @ sK7 @ sK8) | (sK5 @ sK7 @ sK8))) | ~spl0_3), 12.62/2.07 inference(boolean_simplification,[],[f169])). 12.62/2.07 thf(f169,plain,( 12.62/2.07 ($true = (((sK2 @ sK7 @ sK8) | (sK5 @ sK7 @ sK8)) & $true)) | ~spl0_3), 12.62/2.07 inference(backward_demodulation,[],[f150,f167])). 12.62/2.07 thf(f81,plain,( 12.62/2.07 ( ! [X2 : a,X1 : a] : (($true = (((sK6 @ X1) & ((sK2 @ X1 @ X2) | (sK5 @ X1 @ X2))) => (sK6 @ X2)))) )), 12.62/2.07 inference(beta_eta_normalization,[],[f80])). 12.62/2.07 thf(f80,plain,( 12.62/2.07 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: (((sK6 @ X1) & ((sK2 @ X1 @ Y0) | (sK5 @ X1 @ Y0))) => (sK6 @ Y0))) @ X2))) )), 12.62/2.07 inference(pi_clausification,[],[f79])). 12.62/2.07 thf(f79,plain,( 12.62/2.07 ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: (((sK6 @ X1) & ((sK2 @ X1 @ Y0) | (sK5 @ X1 @ Y0))) => (sK6 @ Y0)))))) )), 12.62/2.07 inference(beta_eta_normalization,[],[f78])). 12.62/2.07 thf(f78,plain,( 12.62/2.07 ( ! [X1 : a] : ((((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK6 @ Y0) & ((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1))) => (sK6 @ Y1))))) @ X1) = $true)) )), 12.62/2.07 inference(pi_clausification,[],[f31])). 12.62/2.07 thf(f139,plain,( 12.62/2.07 spl0_3 | spl0_4 | ~spl0_2), 12.62/2.07 inference(avatar_split_clause,[],[f130,f50,f137,f134])). 12.62/2.07 thf(f50,plain,( 12.62/2.07 spl0_2 <=> ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK3 @ Y1) | (sK2 @ sK3 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK4)))))), 12.62/2.07 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 12.62/2.07 thf(f130,plain,( 12.62/2.07 ($false = (!! @ a @ (^[Y0 : a]: (((sK5 @ sK3 @ Y0) | (sK2 @ sK3 @ Y0)) => (sK6 @ Y0))))) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1)))))) = $false) | ~spl0_2), 12.62/2.07 inference(binary_proxy_clausification,[],[f114])). 12.62/2.07 thf(f114,plain,( 12.62/2.07 ($false = ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK3 @ Y0) | (sK2 @ sK3 @ Y0)) => (sK6 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1)))))))) | ~spl0_2), 12.62/2.07 inference(not_proxy_clausification,[],[f71])). 12.62/2.07 thf(f71,plain,( 12.62/2.07 ($true = (~ ((!! @ a @ (^[Y0 : a]: (((sK5 @ sK3 @ Y0) | (sK2 @ sK3 @ Y0)) => (sK6 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1))))))))) | ~spl0_2), 12.62/2.07 inference(boolean_simplification,[],[f68])). 12.62/2.07 thf(f68,plain,( 12.62/2.07 ($true = (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK3 @ Y0) | (sK2 @ sK3 @ Y0)) => (sK6 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (sK6 @ Y0)) => (sK6 @ Y1))))))) => $false)) | ~spl0_2), 12.62/2.07 inference(superposition,[],[f62,f24])). 12.62/2.07 thf(f24,plain,( 12.62/2.07 ((sK6 @ sK4) = $false)), 12.62/2.07 inference(binary_proxy_clausification,[],[f23])). 12.62/2.07 thf(f62,plain,( 12.62/2.07 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: (((sK5 @ sK3 @ Y0) | (sK2 @ sK3 @ Y0)) => (X1 @ Y0)))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((((sK2 @ Y0 @ Y1) | (sK5 @ Y0 @ Y1)) & (X1 @ Y0)) => (X1 @ Y1))))))) => (X1 @ sK4)))) ) | ~spl0_2), 12.62/2.07 inference(beta_eta_normalization,[],[f61])). 12.62/2.07 thf(f61,plain,( 12.62/2.07 ( ! [X1 : a > $o] : ((((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK3 @ Y1) | (sK2 @ sK3 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK4))) @ X1) = $true)) ) | ~spl0_2), 12.62/2.07 inference(pi_clausification,[],[f51])). 12.62/2.07 thf(f51,plain,( 12.62/2.07 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK3 @ Y1) | (sK2 @ sK3 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK4))))) | ~spl0_2), 12.62/2.07 inference(avatar_component_clause,[],[f50])). 12.62/2.07 thf(f52,plain,( 12.62/2.07 spl0_1 | spl0_2), 12.62/2.07 inference(avatar_split_clause,[],[f45,f50,f47])). 12.62/2.07 thf(f45,plain,( 12.62/2.07 ($false = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ 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]: (((sK2 @ Y1 @ Y3) | (sK5 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0))))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4)) & (Y3 @ Y5)) => (Y3 @ Y4))))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK2 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK5 @ Y4 @ Y5) | (sK2 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2))))))))))))) | ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK3 @ Y1) | (sK2 @ sK3 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK4)))))), 12.62/2.07 inference(binary_proxy_clausification,[],[f39])). 12.62/2.07 thf(f39,plain,( 12.62/2.07 ($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK5 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((sK5 @ Y4 @ Y3) & (Y2 @ Y4)) => (Y2 @ Y3))))))) => (Y2 @ Y0)))) | (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((sK2 @ Y1 @ Y3) => (Y2 @ Y3)))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (sK2 @ Y4 @ 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]: (((sK2 @ Y1 @ Y3) | (sK5 @ Y1 @ Y3)) => (Y2 @ Y3))))) => (Y2 @ Y0))))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK5 @ Y5 @ Y4) | (sK2 @ Y5 @ Y4)) & (Y3 @ Y5)) => (Y3 @ Y4))))))) => (Y3 @ Y1)))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (((sK5 @ Y1 @ Y4) | (sK2 @ Y1 @ Y4)) => (Y3 @ Y4)))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((((sK2 @ Y4 @ Y5) | (sK5 @ Y4 @ Y5)) & (Y3 @ Y4)) => (Y3 @ Y5))))))) => (Y3 @ Y2))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y3 @ Y4) & ((sK5 @ Y4 @ Y5) | (sK2 @ Y4 @ Y5))) => (Y3 @ Y5)))))) & (!! @ a @ (^[Y4 : a]: (((sK5 @ Y0 @ Y4) | (sK2 @ Y0 @ Y4)) => (Y3 @ Y4))))) => (Y3 @ Y2)))))))))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: (((sK5 @ sK3 @ Y1) | (sK2 @ sK3 @ Y1)) => (Y0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((((sK2 @ Y1 @ Y2) | (sK5 @ Y1 @ Y2)) & (Y0 @ Y1)) => (Y0 @ Y2))))))) => (Y0 @ sK4))))))), 12.62/2.07 inference(not_proxy_clausification,[],[f19])). 12.62/2.07 % SZS output end Proof for Vampire---4 12.62/2.07 % (6628)------------------------------ 12.62/2.07 % (6628)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 12.62/2.07 % (6628)Termination reason: Refutation 12.62/2.07 12.62/2.07 % (6628)Memory used [KB]: 7036 12.62/2.07 % (6628)Time elapsed: 0.107 s 12.62/2.07 % (6628)Instructions burned: 293 (million) 12.62/2.07 % (6628)------------------------------ 12.62/2.07 % (6628)------------------------------ 12.62/2.07 % (6187)Success in time 1.712 s 12.62/2.07 % Vampire---4.8 exiting 12.62/2.07 EOF