0.13/0.15 % Problem : Vampire---4.8_30372 : TPTP v0.0.0. Released v0.0.0. 0.13/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.17/0.38 % Computer : n012.cluster.edu 0.17/0.38 % Model : x86_64 x86_64 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.38 % Memory : 8042.1875MB 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.17/0.38 % CPULimit : 1440 0.17/0.38 % WCLimit : 180 0.17/0.38 % DateTime : Mon Jul 3 12:50:52 EDT 2023 0.17/0.38 % CPUTime : 0.17/0.38 This is a THF_ problem 0.17/0.38 Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372 -m 12000 -t 180 0.17/0.41 % (30629)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) 0.17/0.41 % (30627)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.17/0.41 % (30628)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.17/0.41 % (30630)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) 0.17/0.41 % (30631)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.17/0.41 % (30632)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) 0.17/0.41 % (30633)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) 0.17/0.41 % (30634)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) 0.17/0.42 % (30633)Instruction limit reached! 0.17/0.42 % (30633)------------------------------ 0.17/0.42 % (30633)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.42 % (30633)Termination reason: Unknown 0.17/0.42 % (30633)Termination phase: shuffling 0.17/0.42 0.17/0.42 % (30633)Memory used [KB]: 1279 0.17/0.42 % (30633)Time elapsed: 0.005 s 0.17/0.42 % (30633)Instructions burned: 5 (million) 0.17/0.42 % (30633)------------------------------ 0.17/0.42 % (30633)------------------------------ 0.17/0.42 % (30631)Instruction limit reached! 0.17/0.42 % (30631)------------------------------ 0.17/0.42 % (30631)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.42 % (30631)Termination reason: Unknown 0.17/0.42 % (30631)Termination phase: shuffling 0.17/0.42 0.17/0.42 % (30631)Memory used [KB]: 1535 0.17/0.42 % (30631)Time elapsed: 0.011 s 0.17/0.42 % (30631)Instructions burned: 17 (million) 0.17/0.42 % (30631)------------------------------ 0.17/0.42 % (30631)------------------------------ 0.17/0.43 % (30629)Instruction limit reached! 0.17/0.43 % (30629)------------------------------ 0.17/0.43 % (30629)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.43 % (30629)Termination reason: Unknown 0.17/0.43 % (30629)Termination phase: Property scanning 0.17/0.43 0.17/0.43 % (30629)Memory used [KB]: 1791 0.17/0.43 % (30629)Time elapsed: 0.019 s 0.17/0.43 % (30629)Instructions burned: 34 (million) 0.17/0.43 % (30629)------------------------------ 0.17/0.43 % (30629)------------------------------ 0.17/0.43 % (30628)Instruction limit reached! 0.17/0.43 % (30628)------------------------------ 0.17/0.43 % (30628)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.43 % (30628)Termination reason: Unknown 0.17/0.43 % (30628)Termination phase: Property scanning 0.17/0.43 0.17/0.43 % (30628)Memory used [KB]: 1791 0.17/0.43 % (30628)Time elapsed: 0.020 s 0.17/0.43 % (30628)Instructions burned: 36 (million) 0.17/0.43 % (30628)------------------------------ 0.17/0.43 % (30628)------------------------------ 0.17/0.43 % (30635)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) 0.17/0.44 % (30636)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.25/0.44 % (30636)Instruction limit reached! 0.25/0.44 % (30636)------------------------------ 0.25/0.44 % (30636)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.44 % (30636)Termination reason: Unknown 0.25/0.44 % (30636)Termination phase: shuffling 0.25/0.44 0.25/0.44 % (30636)Memory used [KB]: 1407 0.25/0.44 % (30636)Time elapsed: 0.006 s 0.25/0.44 % (30636)Instructions burned: 7 (million) 0.25/0.44 % (30636)------------------------------ 0.25/0.44 % (30636)------------------------------ 0.25/0.44 % (30635)Instruction limit reached! 0.25/0.44 % (30635)------------------------------ 0.25/0.44 % (30635)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.44 % (30635)Termination reason: Unknown 0.25/0.44 % (30635)Termination phase: shuffling 0.25/0.44 0.25/0.44 % (30635)Memory used [KB]: 1663 0.25/0.44 % (30635)Time elapsed: 0.013 s 0.25/0.44 % (30635)Instructions burned: 22 (million) 0.25/0.44 % (30635)------------------------------ 0.25/0.44 % (30635)------------------------------ 0.25/0.44 % (30630)Refutation not found, incomplete strategy 0.25/0.44 % (30630)------------------------------ 0.25/0.44 % (30630)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.44 % (30630)Termination reason: Refutation not found, incomplete strategy 0.25/0.44 0.25/0.44 0.25/0.44 % (30630)Memory used [KB]: 6268 0.25/0.44 % (30630)Time elapsed: 0.033 s 0.25/0.44 % (30630)Instructions burned: 62 (million) 0.25/0.44 % (30630)------------------------------ 0.25/0.44 % (30630)------------------------------ 0.25/0.45 % (30637)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) 0.25/0.45 % (30638)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) 0.25/0.45 % (30632)Instruction limit reached! 0.25/0.45 % (30632)------------------------------ 0.25/0.45 % (30632)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.45 % (30632)Termination reason: Unknown 0.25/0.45 % (30632)Termination phase: Function definition elimination 0.25/0.45 0.25/0.45 % (30632)Memory used [KB]: 1918 0.25/0.45 % (30632)Time elapsed: 0.036 s 0.25/0.45 % (30632)Instructions burned: 75 (million) 0.25/0.45 % (30632)------------------------------ 0.25/0.45 % (30632)------------------------------ 0.25/0.46 % (30639)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) 0.25/0.46 % (30627)Instruction limit reached! 0.25/0.46 % (30627)------------------------------ 0.25/0.46 % (30627)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.46 % (30627)Termination reason: Unknown 0.25/0.46 % (30627)Termination phase: Saturation 0.25/0.46 0.25/0.46 % (30627)Memory used [KB]: 6524 0.25/0.46 % (30627)Time elapsed: 0.044 s 0.25/0.46 % (30627)Instructions burned: 96 (million) 0.25/0.46 % (30627)------------------------------ 0.25/0.46 % (30627)------------------------------ 0.25/0.46 % (30640)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) 0.25/0.46 % (30641)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) 0.25/0.46 % (30639)Instruction limit reached! 0.25/0.46 % (30639)------------------------------ 0.25/0.46 % (30639)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.46 % (30639)Termination reason: Unknown 0.25/0.46 % (30639)Termination phase: shuffling 0.25/0.46 0.25/0.46 % (30639)Memory used [KB]: 1407 0.25/0.46 % (30639)Time elapsed: 0.007 s 0.25/0.46 % (30639)Instructions burned: 10 (million) 0.25/0.46 % (30639)------------------------------ 0.25/0.46 % (30639)------------------------------ 0.25/0.46 % (30642)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.25/0.47 % (30643)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.25/0.48 % (30644)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) 0.25/0.48 % (30644)Instruction limit reached! 0.25/0.48 % (30644)------------------------------ 0.25/0.48 % (30644)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.48 % (30644)Termination reason: Unknown 0.25/0.48 % (30644)Termination phase: shuffling 0.25/0.48 0.25/0.48 % (30644)Memory used [KB]: 1279 0.25/0.48 % (30644)Time elapsed: 0.004 s 0.25/0.48 % (30644)Instructions burned: 3 (million) 0.25/0.48 % (30644)------------------------------ 0.25/0.48 % (30644)------------------------------ 0.25/0.48 % (30638)Instruction limit reached! 0.25/0.48 % (30638)------------------------------ 0.25/0.48 % (30638)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.48 % (30638)Termination reason: Unknown 0.25/0.48 % (30638)Termination phase: Function definition elimination 0.25/0.48 0.25/0.48 % (30638)Memory used [KB]: 1791 0.25/0.48 % (30638)Time elapsed: 0.035 s 0.25/0.48 % (30638)Instructions burned: 71 (million) 0.25/0.48 % (30638)------------------------------ 0.25/0.48 % (30638)------------------------------ 0.25/0.48 % (30643)Instruction limit reached! 0.25/0.48 % (30643)------------------------------ 0.25/0.48 % (30643)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.48 % (30643)Termination reason: Unknown 0.25/0.48 % (30643)Termination phase: shuffling 0.25/0.48 0.25/0.48 % (30643)Memory used [KB]: 1535 0.25/0.48 % (30643)Time elapsed: 0.011 s 0.25/0.48 % (30643)Instructions burned: 14 (million) 0.25/0.48 % (30643)------------------------------ 0.25/0.48 % (30643)------------------------------ 0.25/0.49 % (30640)Refutation not found, incomplete strategy 0.25/0.49 % (30640)------------------------------ 0.25/0.49 % (30640)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.49 % (30640)Termination reason: Refutation not found, incomplete strategy 0.25/0.49 0.25/0.49 0.25/0.49 % (30640)Memory used [KB]: 6268 0.25/0.49 % (30640)Time elapsed: 0.034 s 0.25/0.49 % (30640)Instructions burned: 60 (million) 0.25/0.49 % (30640)------------------------------ 0.25/0.49 % (30640)------------------------------ 0.25/0.49 % (30645)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) 0.25/0.50 % (30647)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (1799ds/140Mi) 0.25/0.50 % (30646)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (1799ds/11Mi) 0.25/0.50 % (30642)Instruction limit reached! 0.25/0.50 % (30642)------------------------------ 0.25/0.50 % (30642)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.50 % (30642)Termination reason: Unknown 0.25/0.50 % (30642)Termination phase: Property scanning 0.25/0.50 0.25/0.50 % (30642)Memory used [KB]: 2942 0.25/0.50 % (30642)Time elapsed: 0.036 s 0.25/0.50 % (30642)Instructions burned: 61 (million) 0.25/0.50 % (30642)------------------------------ 0.25/0.50 % (30642)------------------------------ 0.25/0.50 % (30646)Instruction limit reached! 0.25/0.50 % (30646)------------------------------ 0.25/0.50 % (30646)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.50 % (30646)Termination reason: Unknown 0.25/0.50 % (30646)Termination phase: shuffling 0.25/0.50 0.25/0.50 % (30646)Memory used [KB]: 1407 0.25/0.50 % (30646)Time elapsed: 0.008 s 0.25/0.50 % (30646)Instructions burned: 12 (million) 0.25/0.50 % (30646)------------------------------ 0.25/0.50 % (30646)------------------------------ 0.25/0.51 % (30652)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (1799ds/26Mi) 0.25/0.51 % (30654)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1799ds/56Mi) 0.25/0.52 % (30657)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) 0.25/0.52 % (30634)Refutation not found, incomplete strategy 0.25/0.52 % (30634)------------------------------ 0.25/0.52 % (30634)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.52 % (30634)Termination reason: Refutation not found, incomplete strategy 0.25/0.52 0.25/0.52 0.25/0.52 % (30634)Memory used [KB]: 8315 0.25/0.52 % (30634)Time elapsed: 0.106 s 0.25/0.52 % (30634)Instructions burned: 234 (million) 0.25/0.52 % (30634)------------------------------ 0.25/0.52 % (30634)------------------------------ 0.25/0.52 % (30647)Refutation not found, incomplete strategy 0.25/0.52 % (30647)------------------------------ 0.25/0.52 % (30647)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.52 % (30641)Instruction limit reached! 0.25/0.52 % (30641)------------------------------ 0.25/0.52 % (30641)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.52 % (30641)Termination reason: Unknown 0.25/0.52 % (30641)Termination phase: Saturation 0.25/0.52 0.25/0.52 % (30641)Memory used [KB]: 6652 0.25/0.52 % (30641)Time elapsed: 0.062 s 0.25/0.52 % (30641)Instructions burned: 129 (million) 0.25/0.52 % (30641)------------------------------ 0.25/0.52 % (30641)------------------------------ 0.25/0.52 % (30647)Termination reason: Refutation not found, incomplete strategy 0.25/0.52 0.25/0.52 0.25/0.52 % (30647)Memory used [KB]: 6268 0.25/0.52 % (30647)Time elapsed: 0.027 s 0.25/0.52 % (30647)Instructions burned: 51 (million) 0.25/0.52 % (30647)------------------------------ 0.25/0.52 % (30647)------------------------------ 0.25/0.52 % (30652)Instruction limit reached! 0.25/0.52 % (30652)------------------------------ 0.25/0.52 % (30652)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.52 % (30652)Termination reason: Unknown 0.25/0.52 % (30652)Termination phase: Property scanning 0.25/0.52 0.25/0.52 % (30652)Memory used [KB]: 1791 0.25/0.52 % (30652)Time elapsed: 0.016 s 0.25/0.52 % (30652)Instructions burned: 27 (million) 0.25/0.52 % (30652)------------------------------ 0.25/0.52 % (30652)------------------------------ 0.25/0.53 % (30657)Refutation not found, incomplete strategy 0.25/0.53 % (30657)------------------------------ 0.25/0.53 % (30657)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.53 % (30657)Termination reason: Refutation not found, incomplete strategy 0.25/0.53 0.25/0.53 0.25/0.53 % (30657)Memory used [KB]: 6140 0.25/0.53 % (30657)Time elapsed: 0.013 s 0.25/0.53 % (30657)Instructions burned: 28 (million) 0.25/0.53 % (30657)------------------------------ 0.25/0.53 % (30657)------------------------------ 0.25/0.53 % (30654)Instruction limit reached! 0.25/0.53 % (30654)------------------------------ 0.25/0.53 % (30654)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.53 % (30654)Termination reason: Unknown 0.25/0.53 % (30654)Termination phase: Property scanning 0.25/0.53 0.25/0.53 % (30654)Memory used [KB]: 1791 0.25/0.53 % (30654)Time elapsed: 0.021 s 0.25/0.53 % (30654)Instructions burned: 58 (million) 0.25/0.53 % (30654)------------------------------ 0.25/0.53 % (30654)------------------------------ 0.25/0.53 % (30664)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) 0.25/0.53 % (30662)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) 0.25/0.53 % (30663)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) 0.25/0.53 % (30667)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) 0.25/0.53 % (30662)Instruction limit reached! 0.25/0.53 % (30662)------------------------------ 0.25/0.53 % (30662)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.53 % (30662)Termination reason: Unknown 0.25/0.53 % (30662)Termination phase: shuffling 0.25/0.53 0.25/0.53 % (30662)Memory used [KB]: 1279 0.25/0.53 % (30662)Time elapsed: 0.003 s 0.25/0.53 % (30662)Instructions burned: 4 (million) 0.25/0.53 % (30662)------------------------------ 0.25/0.53 % (30662)------------------------------ 0.25/0.54 % (30663)Instruction limit reached! 0.25/0.54 % (30663)------------------------------ 0.25/0.54 % (30663)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.54 % (30663)Termination reason: Unknown 0.25/0.54 % (30663)Termination phase: shuffling 0.25/0.54 0.25/0.54 % (30663)Memory used [KB]: 1663 0.25/0.54 % (30663)Time elapsed: 0.008 s 0.25/0.54 % (30663)Instructions burned: 20 (million) 0.25/0.54 % (30663)------------------------------ 0.25/0.54 % (30663)------------------------------ 0.25/0.54 % (30678)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=105:si=on:rtra=on_0 on Vampire---4 for (1798ds/105Mi) 0.25/0.54 % (30681)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi) 0.25/0.54 % (30674)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) 0.25/0.54 % (30681)Instruction limit reached! 0.25/0.54 % (30681)------------------------------ 0.25/0.54 % (30681)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.54 % (30681)Termination reason: Unknown 0.25/0.54 % (30681)Termination phase: shuffling 0.25/0.54 0.25/0.54 % (30681)Memory used [KB]: 1279 0.25/0.54 % (30681)Time elapsed: 0.003 s 0.25/0.54 % (30681)Instructions burned: 5 (million) 0.25/0.54 % (30681)------------------------------ 0.25/0.54 % (30681)------------------------------ 0.25/0.54 % (30664)Instruction limit reached! 0.25/0.54 % (30664)------------------------------ 0.25/0.54 % (30664)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.54 % (30664)Termination reason: Unknown 0.25/0.54 % (30664)Termination phase: SInE selection 0.25/0.54 0.25/0.54 % (30664)Memory used [KB]: 1791 0.25/0.54 % (30664)Time elapsed: 0.014 s 0.25/0.54 % (30664)Instructions burned: 45 (million) 0.25/0.54 % (30664)------------------------------ 0.25/0.54 % (30664)------------------------------ 1.36/0.55 % (30689)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 (1798ds/4Mi) 1.36/0.55 % (30689)Instruction limit reached! 1.36/0.55 % (30689)------------------------------ 1.36/0.55 % (30689)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.36/0.55 % (30689)Termination reason: Unknown 1.36/0.55 % (30689)Termination phase: shuffling 1.36/0.55 1.36/0.55 % (30689)Memory used [KB]: 1279 1.36/0.55 % (30689)Time elapsed: 0.003 s 1.36/0.55 % (30689)Instructions burned: 6 (million) 1.36/0.55 % (30689)------------------------------ 1.36/0.55 % (30689)------------------------------ 1.36/0.55 % (30688)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 (1798ds/3Mi) 1.36/0.56 % (30688)Instruction limit reached! 1.36/0.56 % (30688)------------------------------ 1.36/0.56 % (30688)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.36/0.56 % (30688)Termination reason: Unknown 1.36/0.56 % (30688)Termination phase: shuffling 1.36/0.56 1.36/0.56 % (30688)Memory used [KB]: 1279 1.36/0.56 % (30688)Time elapsed: 0.003 s 1.36/0.56 % (30688)Instructions burned: 4 (million) 1.36/0.56 % (30688)------------------------------ 1.36/0.56 % (30688)------------------------------ 1.36/0.56 % (30684)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 (1798ds/238Mi) 1.36/0.56 % (30674)Instruction limit reached! 1.36/0.56 % (30674)------------------------------ 1.36/0.56 % (30674)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.36/0.56 % (30674)Termination reason: Unknown 1.36/0.56 % (30674)Termination phase: Function definition elimination 1.36/0.56 1.36/0.56 % (30674)Memory used [KB]: 1791 1.36/0.56 % (30674)Time elapsed: 0.021 s 1.36/0.56 % (30674)Instructions burned: 63 (million) 1.36/0.56 % (30674)------------------------------ 1.36/0.56 % (30674)------------------------------ 1.36/0.56 % (30703)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 (1798ds/149Mi) 1.36/0.56 % (30705)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on Vampire---4 for (1798ds/150Mi) 1.48/0.57 % (30678)Instruction limit reached! 1.48/0.57 % (30678)------------------------------ 1.48/0.57 % (30678)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.48/0.57 % (30678)Termination reason: Unknown 1.48/0.57 % (30678)Termination phase: Saturation 1.48/0.57 1.48/0.57 % (30678)Memory used [KB]: 6524 1.48/0.57 % (30678)Time elapsed: 0.030 s 1.48/0.57 % (30678)Instructions burned: 105 (million) 1.48/0.57 % (30678)------------------------------ 1.48/0.57 % (30678)------------------------------ 1.48/0.57 % (30711)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=199:si=on:rtra=on_0 on Vampire---4 for (1798ds/199Mi) 1.48/0.58 % (30715)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (1798ds/39Mi) 1.48/0.59 % (30667)Instruction limit reached! 1.48/0.59 % (30667)------------------------------ 1.48/0.59 % (30667)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.48/0.59 % (30667)Termination reason: Unknown 1.48/0.59 % (30667)Termination phase: Saturation 1.48/0.59 1.48/0.59 % (30667)Memory used [KB]: 7291 1.48/0.59 % (30667)Time elapsed: 0.081 s 1.48/0.59 % (30667)Instructions burned: 191 (million) 1.48/0.59 % (30667)------------------------------ 1.48/0.59 % (30667)------------------------------ 1.48/0.59 % (30715)Instruction limit reached! 1.48/0.59 % (30715)------------------------------ 1.48/0.59 % (30715)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.48/0.59 % (30715)Termination reason: Unknown 1.48/0.59 % (30715)Termination phase: Property scanning 1.48/0.59 1.48/0.59 % (30715)Memory used [KB]: 1791 1.48/0.59 % (30715)Time elapsed: 0.014 s 1.48/0.59 % (30715)Instructions burned: 42 (million) 1.48/0.59 % (30715)------------------------------ 1.48/0.59 % (30715)------------------------------ 1.48/0.60 % (30737)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=3:si=on:rtra=on_0 on Vampire---4 for (1797ds/3Mi) 1.48/0.60 % (30736)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=721:si=on:rtra=on_0 on Vampire---4 for (1797ds/721Mi) 1.48/0.60 % (30737)Instruction limit reached! 1.48/0.60 % (30737)------------------------------ 1.48/0.60 % (30737)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.48/0.60 % (30737)Termination reason: Unknown 1.48/0.60 % (30737)Termination phase: shuffling 1.48/0.60 1.48/0.60 % (30737)Memory used [KB]: 1279 1.48/0.60 % (30737)Time elapsed: 0.003 s 1.48/0.60 % (30737)Instructions burned: 4 (million) 1.48/0.60 % (30737)------------------------------ 1.48/0.60 % (30737)------------------------------ 1.48/0.61 % (30705)Instruction limit reached! 1.48/0.61 % (30705)------------------------------ 1.48/0.61 % (30705)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.48/0.61 % (30705)Termination reason: Unknown 1.48/0.61 % (30705)Termination phase: Property scanning 1.48/0.61 1.48/0.61 % (30705)Memory used [KB]: 3070 1.48/0.61 % (30705)Time elapsed: 0.044 s 1.48/0.61 % (30705)Instructions burned: 152 (million) 1.48/0.61 % (30705)------------------------------ 1.48/0.61 % (30705)------------------------------ 1.48/0.61 % (30703)Instruction limit reached! 1.48/0.61 % (30703)------------------------------ 1.48/0.61 % (30703)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.48/0.61 % (30703)Termination reason: Unknown 1.48/0.61 % (30703)Termination phase: Saturation 1.48/0.61 1.48/0.61 % (30703)Memory used [KB]: 6908 1.48/0.61 % (30703)Time elapsed: 0.046 s 1.48/0.61 % (30703)Instructions burned: 149 (million) 1.48/0.61 % (30703)------------------------------ 1.48/0.61 % (30703)------------------------------ 1.48/0.61 % (30742)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 (1797ds/18Mi) 1.48/0.62 % (30743)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 (1797ds/218Mi) 1.48/0.62 % (30742)Instruction limit reached! 1.48/0.62 % (30742)------------------------------ 1.48/0.62 % (30742)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.48/0.62 % (30742)Termination reason: Unknown 1.48/0.62 % (30742)Termination phase: shuffling 1.48/0.62 1.48/0.62 % (30742)Memory used [KB]: 1663 1.48/0.62 % (30742)Time elapsed: 0.007 s 1.48/0.62 % (30742)Instructions burned: 21 (million) 1.48/0.62 % (30742)------------------------------ 1.48/0.62 % (30742)------------------------------ 1.48/0.62 % (30736)Refutation not found, incomplete strategy 1.48/0.62 % (30736)------------------------------ 1.48/0.62 % (30736)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.48/0.62 % (30736)Termination reason: Refutation not found, incomplete strategy 1.48/0.62 1.48/0.62 1.48/0.62 % (30744)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 (1797ds/448Mi) 1.48/0.62 % (30736)Memory used [KB]: 6268 1.48/0.62 % (30736)Time elapsed: 0.017 s 1.48/0.62 % (30736)Instructions burned: 27 (million) 1.48/0.62 % (30736)------------------------------ 1.48/0.62 % (30736)------------------------------ 1.48/0.62 % (30745)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 (1797ds/6Mi) 1.82/0.63 % (30745)Instruction limit reached! 1.82/0.63 % (30745)------------------------------ 1.82/0.63 % (30745)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.82/0.63 % (30745)Termination reason: Unknown 1.82/0.63 % (30745)Termination phase: shuffling 1.82/0.63 1.82/0.63 % (30745)Memory used [KB]: 1407 1.82/0.63 % (30745)Time elapsed: 0.003 s 1.82/0.63 % (30745)Instructions burned: 7 (million) 1.82/0.63 % (30745)------------------------------ 1.82/0.63 % (30745)------------------------------ 1.82/0.63 % (30746)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 (1797ds/9Mi) 1.82/0.63 % (30711)Instruction limit reached! 1.82/0.63 % (30711)------------------------------ 1.82/0.63 % (30711)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.82/0.63 % (30711)Termination reason: Unknown 1.82/0.63 % (30711)Termination phase: Saturation 1.82/0.63 1.82/0.63 % (30711)Memory used [KB]: 6652 1.82/0.63 % (30711)Time elapsed: 0.062 s 1.82/0.63 % (30711)Instructions burned: 201 (million) 1.82/0.63 % (30711)------------------------------ 1.82/0.63 % (30711)------------------------------ 1.82/0.63 % (30746)Instruction limit reached! 1.82/0.63 % (30746)------------------------------ 1.82/0.63 % (30746)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.82/0.63 % (30746)Termination reason: Unknown 1.82/0.63 % (30746)Termination phase: shuffling 1.82/0.63 1.82/0.63 % (30746)Memory used [KB]: 1407 1.82/0.63 % (30746)Time elapsed: 0.006 s 1.82/0.63 % (30746)Instructions burned: 10 (million) 1.82/0.63 % (30746)------------------------------ 1.82/0.63 % (30746)------------------------------ 1.82/0.63 % (30748)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (1797ds/16Mi) 1.82/0.63 % (30684)Instruction limit reached! 1.82/0.63 % (30684)------------------------------ 1.82/0.63 % (30684)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.82/0.63 % (30684)Termination reason: Unknown 1.82/0.63 % (30684)Termination phase: Saturation 1.82/0.63 1.82/0.63 % (30684)Memory used [KB]: 6908 1.82/0.63 % (30684)Time elapsed: 0.078 s 1.82/0.63 % (30684)Instructions burned: 240 (million) 1.82/0.63 % (30684)------------------------------ 1.82/0.63 % (30684)------------------------------ 1.82/0.64 % (30748)Instruction limit reached! 1.82/0.64 % (30748)------------------------------ 1.82/0.64 % (30748)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.82/0.64 % (30748)Termination reason: Unknown 1.82/0.64 % (30748)Termination phase: shuffling 1.82/0.64 1.82/0.64 % (30748)Memory used [KB]: 1535 1.82/0.64 % (30748)Time elapsed: 0.006 s 1.82/0.64 % (30748)Instructions burned: 17 (million) 1.82/0.64 % (30748)------------------------------ 1.82/0.64 % (30748)------------------------------ 1.82/0.64 % (30752)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 (1797ds/40Mi) 1.82/0.64 % (30754)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 (1797ds/98Mi) 1.82/0.65 % (30755)lrs+1004_1:1_chr=on:prag=on:i=8:si=on:rtra=on_0 on Vampire---4 for (1797ds/8Mi) 1.82/0.65 % (30753)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (1797ds/2Mi) 1.82/0.65 % (30753)Instruction limit reached! 1.82/0.65 % (30753)------------------------------ 1.82/0.65 % (30753)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.82/0.65 % (30753)Termination reason: Unknown 1.82/0.65 % (30753)Termination phase: shuffling 1.82/0.65 1.82/0.65 % (30753)Memory used [KB]: 1279 1.82/0.65 % (30753)Time elapsed: 0.003 s 1.82/0.65 % (30753)Instructions burned: 2 (million) 1.82/0.65 % (30753)------------------------------ 1.82/0.65 % (30753)------------------------------ 1.82/0.65 % (30752)Instruction limit reached! 1.82/0.65 % (30752)------------------------------ 1.82/0.65 % (30752)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.82/0.65 % (30752)Termination reason: Unknown 1.82/0.65 % (30752)Termination phase: Property scanning 1.82/0.65 1.82/0.65 % (30752)Memory used [KB]: 1791 1.82/0.65 % (30752)Time elapsed: 0.012 s 1.82/0.65 % (30752)Instructions burned: 40 (million) 1.82/0.65 % (30752)------------------------------ 1.82/0.65 % (30752)------------------------------ 1.82/0.65 % (30755)Instruction limit reached! 1.82/0.65 % (30755)------------------------------ 1.82/0.65 % (30755)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.82/0.65 % (30755)Termination reason: Unknown 1.82/0.65 % (30755)Termination phase: shuffling 1.82/0.65 1.82/0.65 % (30755)Memory used [KB]: 1407 1.82/0.65 % (30755)Time elapsed: 0.004 s 1.82/0.65 % (30755)Instructions burned: 10 (million) 1.82/0.65 % (30755)------------------------------ 1.82/0.65 % (30755)------------------------------ 2.12/0.66 % (30757)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 (1797ds/3Mi) 2.12/0.66 % (30759)lrs+1010_1:1024_au=on:hud=10:ntd=on:ss=included:i=294:si=on:rtra=on_0 on Vampire---4 for (1797ds/294Mi) 2.12/0.66 % (30757)Instruction limit reached! 2.12/0.66 % (30757)------------------------------ 2.12/0.66 % (30757)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.12/0.66 % (30757)Termination reason: Unknown 2.12/0.66 % (30757)Termination phase: shuffling 2.12/0.66 2.12/0.66 % (30757)Memory used [KB]: 1279 2.12/0.66 % (30757)Time elapsed: 0.002 s 2.12/0.66 % (30757)Instructions burned: 3 (million) 2.12/0.66 % (30757)------------------------------ 2.12/0.66 % (30757)------------------------------ 2.12/0.66 % (30756)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 (1797ds/86Mi) 2.12/0.67 % (30760)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 (1797ds/274Mi) 2.12/0.67 % (30754)Instruction limit reached! 2.12/0.67 % (30754)------------------------------ 2.12/0.67 % (30754)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.12/0.67 % (30754)Termination reason: Unknown 2.12/0.67 % (30754)Termination phase: Saturation 2.12/0.67 2.12/0.67 % (30754)Memory used [KB]: 2046 2.12/0.67 % (30754)Time elapsed: 0.029 s 2.12/0.67 % (30754)Instructions burned: 100 (million) 2.12/0.67 % (30754)------------------------------ 2.12/0.67 % (30754)------------------------------ 2.12/0.68 % (30769)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (1797ds/47Mi) 2.12/0.69 % (30756)Instruction limit reached! 2.12/0.69 % (30756)------------------------------ 2.12/0.69 % (30756)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.12/0.69 % (30756)Termination reason: Unknown 2.12/0.69 % (30756)Termination phase: Saturation 2.12/0.69 2.12/0.69 % (30756)Memory used [KB]: 6524 2.12/0.69 % (30756)Time elapsed: 0.024 s 2.12/0.69 % (30756)Instructions burned: 89 (million) 2.12/0.69 % (30756)------------------------------ 2.12/0.69 % (30756)------------------------------ 2.12/0.69 % (30743)Instruction limit reached! 2.12/0.69 % (30743)------------------------------ 2.12/0.69 % (30743)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.12/0.69 % (30743)Termination reason: Unknown 2.12/0.69 % (30743)Termination phase: Saturation 2.12/0.69 2.12/0.69 % (30743)Memory used [KB]: 7164 2.12/0.69 % (30743)Time elapsed: 0.075 s 2.12/0.69 % (30743)Instructions burned: 219 (million) 2.12/0.69 % (30743)------------------------------ 2.12/0.69 % (30743)------------------------------ 2.12/0.69 % (30769)Instruction limit reached! 2.12/0.69 % (30769)------------------------------ 2.12/0.69 % (30769)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.12/0.69 % (30769)Termination reason: Unknown 2.12/0.69 % (30769)Termination phase: Property scanning 2.12/0.69 2.12/0.69 % (30769)Memory used [KB]: 1791 2.12/0.69 % (30769)Time elapsed: 0.014 s 2.12/0.69 % (30769)Instructions burned: 47 (million) 2.12/0.69 % (30769)------------------------------ 2.12/0.69 % (30769)------------------------------ 2.12/0.70 % (30771)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 (1797ds/37Mi) 2.12/0.70 % (30772)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 (1797ds/3Mi) 2.12/0.70 % (30772)Instruction limit reached! 2.12/0.70 % (30772)------------------------------ 2.12/0.70 % (30772)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.12/0.70 % (30772)Termination reason: Unknown 2.12/0.70 % (30772)Termination phase: shuffling 2.12/0.70 2.12/0.70 % (30772)Memory used [KB]: 1279 2.12/0.70 % (30772)Time elapsed: 0.002 s 2.12/0.70 % (30772)Instructions burned: 3 (million) 2.12/0.70 % (30772)------------------------------ 2.12/0.70 % (30772)------------------------------ 2.12/0.70 % (30773)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 (1797ds/19Mi) 2.12/0.71 % (30771)Instruction limit reached! 2.12/0.71 % (30771)------------------------------ 2.12/0.71 % (30771)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.12/0.71 % (30771)Termination reason: Unknown 2.12/0.71 % (30771)Termination phase: Property scanning 2.12/0.71 2.12/0.71 % (30771)Memory used [KB]: 1791 2.12/0.71 % (30771)Time elapsed: 0.011 s 2.12/0.71 % (30771)Instructions burned: 37 (million) 2.12/0.71 % (30771)------------------------------ 2.12/0.71 % (30771)------------------------------ 2.12/0.71 % (30773)Instruction limit reached! 2.12/0.71 % (30773)------------------------------ 2.12/0.71 % (30773)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.12/0.71 % (30774)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 (1796ds/5Mi) 2.12/0.71 % (30773)Termination reason: Unknown 2.12/0.71 % (30773)Termination phase: Property scanning 2.12/0.71 2.12/0.71 % (30773)Memory used [KB]: 1663 2.12/0.71 % (30773)Time elapsed: 0.008 s 2.12/0.71 % (30773)Instructions burned: 22 (million) 2.12/0.71 % (30773)------------------------------ 2.12/0.71 % (30773)------------------------------ 2.12/0.71 % (30774)Instruction limit reached! 2.12/0.71 % (30774)------------------------------ 2.12/0.71 % (30774)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.12/0.71 % (30774)Termination reason: Unknown 2.12/0.71 % (30774)Termination phase: shuffling 2.12/0.71 2.12/0.71 % (30774)Memory used [KB]: 1407 2.12/0.71 % (30774)Time elapsed: 0.003 s 2.12/0.71 % (30774)Instructions burned: 7 (million) 2.12/0.71 % (30774)------------------------------ 2.12/0.71 % (30774)------------------------------ 2.12/0.71 % (30775)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 (1796ds/44Mi) 2.12/0.72 % (30776)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 (1796ds/450Mi) 2.12/0.72 % (30777)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=102:si=on:rtra=on_0 on Vampire---4 for (1796ds/102Mi) 2.12/0.73 % (30775)Instruction limit reached! 2.12/0.73 % (30775)------------------------------ 2.12/0.73 % (30775)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.12/0.73 % (30775)Termination reason: Unknown 2.12/0.73 % (30775)Termination phase: Property scanning 2.12/0.73 2.12/0.73 % (30775)Memory used [KB]: 1791 2.12/0.73 % (30775)Time elapsed: 0.013 s 2.12/0.73 % (30775)Instructions burned: 45 (million) 2.12/0.73 % (30775)------------------------------ 2.12/0.73 % (30775)------------------------------ 2.53/0.73 % (30787)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 (1796ds/134Mi) 2.53/0.75 % (30777)Instruction limit reached! 2.53/0.75 % (30777)------------------------------ 2.53/0.75 % (30777)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.53/0.75 % (30777)Termination reason: Unknown 2.53/0.75 % (30777)Termination phase: Property scanning 2.53/0.75 2.53/0.75 % (30777)Memory used [KB]: 3070 2.53/0.75 % (30777)Time elapsed: 0.032 s 2.53/0.75 % (30777)Instructions burned: 103 (million) 2.53/0.75 % (30777)------------------------------ 2.53/0.75 % (30777)------------------------------ 2.53/0.75 % (30759)Refutation not found, non-redundant clauses discarded% (30759)------------------------------ 2.53/0.75 % (30759)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.53/0.75 % (30759)Termination reason: Refutation not found, non-redundant clauses discarded 2.53/0.75 2.53/0.75 % (30759)Memory used [KB]: 7164 2.53/0.75 % (30759)Time elapsed: 0.094 s 2.53/0.75 % (30759)Instructions burned: 292 (million) 2.53/0.75 % (30759)------------------------------ 2.53/0.75 % (30759)------------------------------ 2.53/0.76 % (30788)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 (1796ds/204Mi) 2.53/0.76 % (30789)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 (1796ds/154Mi) 2.53/0.76 % (30744)Instruction limit reached! 2.53/0.76 % (30744)------------------------------ 2.53/0.76 % (30744)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.53/0.76 % (30744)Termination reason: Unknown 2.53/0.76 % (30744)Termination phase: Saturation 2.53/0.76 2.53/0.76 % (30744)Memory used [KB]: 7291 2.53/0.76 % (30744)Time elapsed: 0.148 s 2.53/0.76 % (30744)Instructions burned: 450 (million) 2.53/0.76 % (30744)------------------------------ 2.53/0.76 % (30744)------------------------------ 2.90/0.77 % (30787)Instruction limit reached! 2.90/0.77 % (30787)------------------------------ 2.90/0.77 % (30787)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.90/0.77 % (30787)Termination reason: Unknown 2.90/0.77 % (30787)Termination phase: Saturation 2.90/0.77 2.90/0.77 % (30787)Memory used [KB]: 6780 2.90/0.77 % (30787)Time elapsed: 0.037 s 2.90/0.77 % (30787)Instructions burned: 134 (million) 2.90/0.77 % (30787)------------------------------ 2.90/0.77 % (30787)------------------------------ 2.90/0.77 % (30790)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 (1796ds/424Mi) 2.90/0.78 % (30760)Instruction limit reached! 2.90/0.78 % (30760)------------------------------ 2.90/0.78 % (30760)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.90/0.78 % (30760)Termination reason: Unknown 2.90/0.78 % (30760)Termination phase: Saturation 2.90/0.78 2.90/0.78 % (30760)Memory used [KB]: 7036 2.90/0.78 % (30760)Time elapsed: 0.110 s 2.90/0.78 % (30760)Instructions burned: 275 (million) 2.90/0.78 % (30760)------------------------------ 2.90/0.78 % (30760)------------------------------ 2.90/0.78 % (30791)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 (1796ds/41Mi) 2.90/0.78 % (30790)Refutation not found, incomplete strategy 2.90/0.78 % (30790)------------------------------ 2.90/0.78 % (30790)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.90/0.78 % (30790)Termination reason: Refutation not found, incomplete strategy 2.90/0.78 2.90/0.78 2.90/0.78 % (30790)Memory used [KB]: 6140 2.90/0.78 % (30790)Time elapsed: 0.011 s 2.90/0.78 % (30790)Instructions burned: 30 (million) 2.90/0.78 % (30790)------------------------------ 2.90/0.78 % (30790)------------------------------ 2.90/0.79 % (30791)Instruction limit reached! 2.90/0.79 % (30791)------------------------------ 2.90/0.79 % (30791)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.90/0.79 % (30791)Termination reason: Unknown 2.90/0.79 % (30791)Termination phase: Property scanning 2.90/0.79 2.90/0.79 % (30791)Memory used [KB]: 1791 2.90/0.79 % (30791)Time elapsed: 0.012 s 2.90/0.79 % (30791)Instructions burned: 41 (million) 2.90/0.79 % (30791)------------------------------ 2.90/0.79 % (30791)------------------------------ 2.90/0.79 % (30793)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 (1796ds/70Mi) 2.90/0.79 % (30792)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 (1796ds/231Mi) 2.90/0.80 % (30794)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 (1795ds/297Mi) 2.90/0.80 % (30789)Instruction limit reached! 2.90/0.80 % (30789)------------------------------ 2.90/0.80 % (30789)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.90/0.80 % (30789)Termination reason: Unknown 2.90/0.80 % (30789)Termination phase: Saturation 2.90/0.80 2.90/0.80 % (30789)Memory used [KB]: 6652 2.90/0.80 % (30789)Time elapsed: 0.042 s 2.90/0.80 % (30789)Instructions burned: 154 (million) 2.90/0.80 % (30789)------------------------------ 2.90/0.80 % (30789)------------------------------ 2.90/0.81 % (30793)Instruction limit reached! 2.90/0.81 % (30793)------------------------------ 2.90/0.81 % (30793)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.90/0.81 % (30793)Termination reason: Unknown 2.90/0.81 % (30793)Termination phase: Function definition elimination 2.90/0.81 2.90/0.81 % (30793)Memory used [KB]: 1791 2.90/0.81 % (30793)Time elapsed: 0.019 s 2.90/0.81 % (30793)Instructions burned: 70 (million) 2.90/0.81 % (30793)------------------------------ 2.90/0.81 % (30793)------------------------------ 2.90/0.81 % (30795)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 (1795ds/182Mi) 2.90/0.82 % (30796)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 (1795ds/130Mi) 2.90/0.82 % (30788)Instruction limit reached! 2.90/0.82 % (30788)------------------------------ 2.90/0.82 % (30788)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.90/0.82 % (30788)Termination reason: Unknown 2.90/0.82 % (30788)Termination phase: Saturation 2.90/0.82 2.90/0.82 % (30788)Memory used [KB]: 6908 2.90/0.82 % (30788)Time elapsed: 0.063 s 2.90/0.82 % (30788)Instructions burned: 205 (million) 2.90/0.82 % (30788)------------------------------ 2.90/0.82 % (30788)------------------------------ 2.90/0.83 % (30797)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 (1795ds/570Mi) 2.90/0.83 % (30637)Instruction limit reached! 2.90/0.83 % (30637)------------------------------ 2.90/0.83 % (30637)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.90/0.83 % (30637)Termination reason: Unknown 2.90/0.83 % (30637)Termination phase: Saturation 2.90/0.83 2.90/0.83 % (30637)Memory used [KB]: 12665 2.90/0.83 % (30637)Time elapsed: 0.387 s 2.90/0.83 % (30637)Instructions burned: 1022 (million) 2.90/0.83 % (30637)------------------------------ 2.90/0.83 % (30637)------------------------------ 3.39/0.84 % (30798)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 (1795ds/297Mi) 3.39/0.85 % (30796)Instruction limit reached! 3.39/0.85 % (30796)------------------------------ 3.39/0.85 % (30796)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.39/0.85 % (30796)Termination reason: Unknown 3.39/0.85 % (30796)Termination phase: Saturation 3.39/0.85 3.39/0.85 % (30796)Memory used [KB]: 6652 3.39/0.85 % (30796)Time elapsed: 0.035 s 3.39/0.85 % (30796)Instructions burned: 130 (million) 3.39/0.85 % (30796)------------------------------ 3.39/0.85 % (30796)------------------------------ 3.39/0.85 % (30776)Instruction limit reached! 3.39/0.85 % (30776)------------------------------ 3.39/0.85 % (30776)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.39/0.85 % (30776)Termination reason: Unknown 3.39/0.85 % (30776)Termination phase: Saturation 3.39/0.85 3.39/0.85 % (30776)Memory used [KB]: 7931 3.39/0.85 % (30776)Time elapsed: 0.159 s 3.39/0.85 % (30776)Instructions burned: 450 (million) 3.39/0.85 % (30776)------------------------------ 3.39/0.85 % (30776)------------------------------ 3.39/0.86 % (30799)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=190:si=on:rtra=on_0 on Vampire---4 for (1795ds/190Mi) 3.39/0.86 % (30795)Instruction limit reached! 3.39/0.86 % (30795)------------------------------ 3.39/0.86 % (30795)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.39/0.86 % (30795)Termination reason: Unknown 3.39/0.86 % (30795)Termination phase: Saturation 3.39/0.86 3.39/0.86 % (30795)Memory used [KB]: 7164 3.39/0.86 % (30795)Time elapsed: 0.051 s 3.39/0.86 % (30795)Instructions burned: 183 (million) 3.39/0.86 % (30795)------------------------------ 3.39/0.86 % (30795)------------------------------ 3.39/0.86 % (30645)Instruction limit reached! 3.39/0.86 % (30645)------------------------------ 3.39/0.86 % (30645)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.39/0.86 % (30645)Termination reason: Unknown 3.39/0.86 % (30645)Termination phase: Saturation 3.39/0.86 3.39/0.86 % (30645)Memory used [KB]: 9850 3.39/0.86 % (30645)Time elapsed: 0.370 s 3.39/0.86 % (30645)Instructions burned: 1041 (million) 3.39/0.86 % (30645)------------------------------ 3.39/0.86 % (30645)------------------------------ 3.39/0.86 % (30800)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 (1795ds/96Mi) 3.67/0.87 % (30801)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 (1795ds/182Mi) 3.67/0.87 % (30802)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 (1795ds/368Mi) 3.67/0.88 % (30800)Instruction limit reached! 3.67/0.88 % (30800)------------------------------ 3.67/0.88 % (30800)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.67/0.88 % (30800)Termination reason: Unknown 3.67/0.88 % (30800)Termination phase: Saturation 3.67/0.88 3.67/0.88 % (30800)Memory used [KB]: 6524 3.67/0.88 % (30800)Time elapsed: 0.024 s 3.67/0.88 % (30800)Instructions burned: 96 (million) 3.67/0.88 % (30800)------------------------------ 3.67/0.88 % (30800)------------------------------ 3.67/0.89 % (30794)Instruction limit reached! 3.67/0.89 % (30794)------------------------------ 3.67/0.89 % (30794)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.67/0.89 % (30794)Termination reason: Unknown 3.67/0.89 % (30794)Termination phase: Saturation 3.67/0.89 3.67/0.89 % (30794)Memory used [KB]: 7547 3.67/0.89 % (30794)Time elapsed: 0.091 s 3.67/0.89 % (30794)Instructions burned: 300 (million) 3.67/0.89 % (30794)------------------------------ 3.67/0.89 % (30794)------------------------------ 3.67/0.89 % (30803)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 (1795ds/390Mi) 3.67/0.90 % (30804)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on Vampire---4 for (1795ds/192Mi) 3.67/0.91 % (30799)Instruction limit reached! 3.67/0.91 % (30799)------------------------------ 3.67/0.91 % (30799)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.67/0.91 % (30799)Termination reason: Unknown 3.67/0.91 % (30799)Termination phase: Saturation 3.67/0.91 3.67/0.91 % (30799)Memory used [KB]: 7803 3.67/0.91 % (30799)Time elapsed: 0.055 s 3.67/0.91 % (30799)Instructions burned: 190 (million) 3.67/0.91 % (30799)------------------------------ 3.67/0.91 % (30799)------------------------------ 3.67/0.92 % (30798)Instruction limit reached! 3.67/0.92 % (30798)------------------------------ 3.67/0.92 % (30798)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.67/0.92 % (30798)Termination reason: Unknown 3.67/0.92 % (30798)Termination phase: Saturation 3.67/0.92 3.67/0.92 % (30798)Memory used [KB]: 6652 3.67/0.92 % (30798)Time elapsed: 0.080 s 3.67/0.92 % (30798)Instructions burned: 299 (million) 3.67/0.92 % (30798)------------------------------ 3.67/0.92 % (30798)------------------------------ 3.67/0.92 % (30792)Instruction limit reached! 3.67/0.92 % (30792)------------------------------ 3.67/0.92 % (30792)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.67/0.92 % (30792)Termination reason: Unknown 3.67/0.92 % (30792)Termination phase: Saturation 3.67/0.92 3.67/0.92 % (30792)Memory used [KB]: 7803 3.67/0.92 % (30792)Time elapsed: 0.129 s 3.67/0.92 % (30792)Instructions burned: 232 (million) 3.67/0.92 % (30792)------------------------------ 3.67/0.92 % (30792)------------------------------ 3.67/0.92 % (30805)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=279:si=on:rtra=on_0 on Vampire---4 for (1794ds/279Mi) 3.67/0.92 % (30801)Instruction limit reached! 3.67/0.92 % (30801)------------------------------ 3.67/0.92 % (30801)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.67/0.92 % (30801)Termination reason: Unknown 3.67/0.92 % (30801)Termination phase: Saturation 3.67/0.92 3.67/0.92 % (30801)Memory used [KB]: 9338 3.67/0.92 % (30801)Time elapsed: 0.055 s 3.67/0.92 % (30801)Instructions burned: 182 (million) 3.67/0.92 % (30801)------------------------------ 3.67/0.92 % (30801)------------------------------ 4.15/0.93 % (30806)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 (1794ds/25Mi) 4.15/0.93 % (30808)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 (1794ds/422Mi) 4.15/0.93 % (30807)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 (1794ds/940Mi) 4.15/0.93 % (30806)Instruction limit reached! 4.15/0.93 % (30806)------------------------------ 4.15/0.93 % (30806)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.15/0.93 % (30806)Termination reason: Unknown 4.15/0.93 % (30806)Termination phase: shuffling 4.15/0.93 4.15/0.93 % (30806)Memory used [KB]: 1791 4.15/0.93 % (30806)Time elapsed: 0.008 s 4.15/0.93 % (30806)Instructions burned: 26 (million) 4.15/0.93 % (30806)------------------------------ 4.15/0.93 % (30806)------------------------------ 4.15/0.94 % (30809)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 (1794ds/103Mi) 4.15/0.95 % (30804)Instruction limit reached! 4.15/0.95 % (30804)------------------------------ 4.15/0.95 % (30804)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.15/0.95 % (30804)Termination reason: Unknown 4.15/0.95 % (30804)Termination phase: Saturation 4.15/0.95 4.15/0.95 % (30804)Memory used [KB]: 7036 4.15/0.95 % (30804)Time elapsed: 0.053 s 4.15/0.95 % (30804)Instructions burned: 192 (million) 4.15/0.95 % (30804)------------------------------ 4.15/0.95 % (30804)------------------------------ 4.15/0.96 % (30811)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 (1794ds/182Mi) 4.23/0.96 % (30802)Instruction limit reached! 4.23/0.96 % (30802)------------------------------ 4.23/0.96 % (30802)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.23/0.96 % (30802)Termination reason: Unknown 4.23/0.96 % (30802)Termination phase: Saturation 4.23/0.96 4.23/0.96 % (30802)Memory used [KB]: 6908 4.23/0.96 % (30802)Time elapsed: 0.096 s 4.23/0.96 % (30802)Instructions burned: 369 (million) 4.23/0.96 % (30802)------------------------------ 4.23/0.96 % (30802)------------------------------ 4.23/0.97 % (30809)Instruction limit reached! 4.23/0.97 % (30809)------------------------------ 4.23/0.97 % (30809)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.23/0.97 % (30809)Termination reason: Unknown 4.23/0.97 % (30809)Termination phase: Saturation 4.23/0.97 4.23/0.97 % (30809)Memory used [KB]: 6780 4.23/0.97 % (30809)Time elapsed: 0.026 s 4.23/0.97 % (30809)Instructions burned: 105 (million) 4.23/0.97 % (30809)------------------------------ 4.23/0.97 % (30809)------------------------------ 4.23/0.97 % (30812)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 (1794ds/230Mi) 4.23/0.97 % (30813)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 (1794ds/83Mi) 4.23/0.99 % (30813)Refutation not found, incomplete strategy 4.23/0.99 % (30813)------------------------------ 4.23/0.99 % (30813)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.23/0.99 % (30813)Termination reason: Refutation not found, incomplete strategy 4.23/0.99 4.23/0.99 4.23/0.99 % (30813)Memory used [KB]: 6268 4.23/0.99 % (30813)Time elapsed: 0.016 s 4.23/0.99 % (30813)Instructions burned: 58 (million) 4.23/0.99 % (30813)------------------------------ 4.23/0.99 % (30813)------------------------------ 4.23/1.00 % (30814)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 (1794ds/202Mi) 4.23/1.00 % (30797)Instruction limit reached! 4.23/1.00 % (30797)------------------------------ 4.23/1.00 % (30797)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.23/1.00 % (30797)Termination reason: Unknown 4.23/1.00 % (30797)Termination phase: Saturation 4.23/1.00 4.23/1.00 % (30797)Memory used [KB]: 7547 4.23/1.00 % (30797)Time elapsed: 0.172 s 4.23/1.00 % (30797)Instructions burned: 570 (million) 4.23/1.00 % (30797)------------------------------ 4.23/1.00 % (30797)------------------------------ 4.23/1.00 % (30811)Instruction limit reached! 4.23/1.00 % (30811)------------------------------ 4.23/1.00 % (30811)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.23/1.00 % (30811)Termination reason: Unknown 4.23/1.00 % (30811)Termination phase: Saturation 4.23/1.00 4.23/1.00 % (30811)Memory used [KB]: 6652 4.23/1.00 % (30811)Time elapsed: 0.046 s 4.23/1.00 % (30811)Instructions burned: 183 (million) 4.23/1.00 % (30811)------------------------------ 4.23/1.00 % (30811)------------------------------ 4.23/1.00 % (30805)Instruction limit reached! 4.23/1.00 % (30805)------------------------------ 4.23/1.00 % (30805)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.23/1.00 % (30805)Termination reason: Unknown 4.23/1.00 % (30805)Termination phase: Saturation 4.23/1.00 4.23/1.00 % (30805)Memory used [KB]: 7291 4.23/1.00 % (30805)Time elapsed: 0.082 s 4.23/1.00 % (30805)Instructions burned: 281 (million) 4.23/1.00 % (30805)------------------------------ 4.23/1.00 % (30805)------------------------------ 4.23/1.00 % (30803)Instruction limit reached! 4.23/1.00 % (30803)------------------------------ 4.23/1.00 % (30803)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.23/1.00 % (30803)Termination reason: Unknown 4.23/1.00 % (30803)Termination phase: Saturation 4.23/1.00 4.23/1.00 % (30803)Memory used [KB]: 7419 4.23/1.00 % (30803)Time elapsed: 0.114 s 4.23/1.00 % (30803)Instructions burned: 393 (million) 4.23/1.00 % (30803)------------------------------ 4.23/1.00 % (30803)------------------------------ 4.23/1.01 % (30815)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 (1793ds/148Mi) 4.23/1.01 % (30816)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 (1793ds/104Mi) 4.23/1.01 % (30818)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (1793ds/6Mi) 4.23/1.01 % (30818)Instruction limit reached! 4.23/1.01 % (30818)------------------------------ 4.23/1.01 % (30818)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.23/1.01 % (30818)Termination reason: Unknown 4.23/1.01 % (30818)Termination phase: shuffling 4.23/1.01 4.23/1.01 % (30818)Memory used [KB]: 1279 4.23/1.01 % (30818)Time elapsed: 0.003 s 4.23/1.01 % (30818)Instructions burned: 6 (million) 4.23/1.01 % (30818)------------------------------ 4.23/1.01 % (30818)------------------------------ 4.23/1.01 % (30821)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 (1793ds/1200Mi) 4.23/1.02 % (30822)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 (1793ds/90Mi) 4.23/1.02 % (30821)Refutation not found, incomplete strategy 4.23/1.02 % (30821)------------------------------ 4.23/1.02 % (30821)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.23/1.02 % (30821)Termination reason: Refutation not found, incomplete strategy 4.23/1.02 4.23/1.02 4.23/1.02 % (30821)Memory used [KB]: 6268 4.23/1.02 % (30821)Time elapsed: 0.010 s 4.23/1.02 % (30821)Instructions burned: 28 (million) 4.23/1.02 % (30821)------------------------------ 4.23/1.02 % (30821)------------------------------ 4.85/1.03 % (30823)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 (1793ds/164Mi) 4.85/1.03 % (30816)Instruction limit reached! 4.85/1.03 % (30816)------------------------------ 4.85/1.03 % (30816)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.85/1.03 % (30816)Termination reason: Unknown 4.85/1.03 % (30816)Termination phase: Saturation 4.85/1.03 4.85/1.03 % (30816)Memory used [KB]: 6524 4.85/1.03 % (30816)Time elapsed: 0.026 s 4.85/1.03 % (30816)Instructions burned: 105 (million) 4.85/1.03 % (30816)------------------------------ 4.85/1.03 % (30816)------------------------------ 4.85/1.04 % (30812)Instruction limit reached! 4.85/1.04 % (30812)------------------------------ 4.85/1.04 % (30812)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.85/1.04 % (30812)Termination reason: Unknown 4.85/1.04 % (30812)Termination phase: Saturation 4.85/1.04 4.85/1.04 % (30812)Memory used [KB]: 2814 4.85/1.04 % (30812)Time elapsed: 0.065 s 4.85/1.04 % (30812)Instructions burned: 230 (million) 4.85/1.04 % (30812)------------------------------ 4.85/1.04 % (30812)------------------------------ 4.85/1.04 % (30822)Instruction limit reached! 4.85/1.04 % (30822)------------------------------ 4.85/1.04 % (30822)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.85/1.04 % (30824)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 (1793ds/392Mi) 4.85/1.04 % (30822)Termination reason: Unknown 4.85/1.04 % (30822)Termination phase: Saturation 4.85/1.04 4.85/1.04 % (30822)Memory used [KB]: 6652 4.85/1.04 % (30822)Time elapsed: 0.023 s 4.85/1.04 % (30822)Instructions burned: 92 (million) 4.85/1.04 % (30822)------------------------------ 4.85/1.04 % (30822)------------------------------ 4.85/1.04 % (30825)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on Vampire---4 for (1793ds/279Mi) 4.85/1.04 % (30815)Instruction limit reached! 4.85/1.04 % (30815)------------------------------ 4.85/1.04 % (30815)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.85/1.04 % (30815)Termination reason: Unknown 4.85/1.04 % (30815)Termination phase: Saturation 4.85/1.04 4.85/1.04 % (30815)Memory used [KB]: 6652 4.85/1.04 % (30815)Time elapsed: 0.038 s 4.85/1.04 % (30815)Instructions burned: 148 (million) 4.85/1.04 % (30815)------------------------------ 4.85/1.04 % (30815)------------------------------ 4.85/1.05 % (30823)Refutation not found, incomplete strategy 4.85/1.05 % (30823)------------------------------ 4.85/1.05 % (30823)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.85/1.05 % (30823)Termination reason: Refutation not found, incomplete strategy 4.85/1.05 4.85/1.05 4.85/1.05 % (30823)Memory used [KB]: 1791 4.85/1.05 % (30823)Time elapsed: 0.017 s 4.85/1.05 % (30823)Instructions burned: 62 (million) 4.85/1.05 % (30823)------------------------------ 4.85/1.05 % (30823)------------------------------ 4.85/1.05 % (30814)Instruction limit reached! 4.85/1.05 % (30814)------------------------------ 4.85/1.05 % (30814)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.85/1.05 % (30826)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 (1793ds/59Mi) 4.85/1.05 % (30814)Termination reason: Unknown 4.85/1.05 % (30814)Termination phase: Saturation 4.85/1.05 4.85/1.05 % (30814)Memory used [KB]: 7036 4.85/1.05 % (30814)Time elapsed: 0.053 s 4.85/1.05 % (30814)Instructions burned: 202 (million) 4.85/1.05 % (30814)------------------------------ 4.85/1.05 % (30814)------------------------------ 4.85/1.05 % (30829)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 (1793ds/141Mi) 4.85/1.05 % (30831)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=389:si=on:rtra=on_0 on Vampire---4 for (1793ds/389Mi) 4.85/1.06 % (30832)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on Vampire---4 for (1793ds/593Mi) 4.85/1.06 % (30808)Instruction limit reached! 4.85/1.06 % (30808)------------------------------ 4.85/1.06 % (30808)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.85/1.06 % (30808)Termination reason: Unknown 4.85/1.06 % (30808)Termination phase: Saturation 4.85/1.06 4.85/1.06 % (30808)Memory used [KB]: 9466 4.85/1.06 % (30808)Time elapsed: 0.131 s 4.85/1.06 % (30808)Instructions burned: 423 (million) 4.85/1.06 % (30808)------------------------------ 4.85/1.06 % (30808)------------------------------ 4.85/1.06 % (30826)Instruction limit reached! 4.85/1.06 % (30826)------------------------------ 4.85/1.06 % (30826)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.85/1.06 % (30826)Termination reason: Unknown 4.85/1.06 % (30826)Termination phase: Property scanning 4.85/1.06 4.85/1.06 % (30826)Memory used [KB]: 1791 4.85/1.06 % (30826)Time elapsed: 0.016 s 4.85/1.06 % (30826)Instructions burned: 62 (million) 4.85/1.06 % (30826)------------------------------ 4.85/1.06 % (30826)------------------------------ 4.85/1.07 % (30829)Refutation not found, incomplete strategy 4.85/1.07 % (30829)------------------------------ 4.85/1.07 % (30829)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.85/1.07 % (30829)Termination reason: Refutation not found, incomplete strategy 4.85/1.07 4.85/1.07 4.85/1.07 % (30829)Memory used [KB]: 6268 4.85/1.07 % (30829)Time elapsed: 0.015 s 4.85/1.07 % (30829)Instructions burned: 54 (million) 4.85/1.07 % (30829)------------------------------ 4.85/1.07 % (30829)------------------------------ 4.85/1.07 % (30839)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 (1793ds/4759Mi) 4.85/1.07 % (30841)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on Vampire---4 for (1793ds/906Mi) 5.58/1.08 % (30845)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 (1793ds/668Mi) 5.58/1.12 % (30825)Instruction limit reached! 5.58/1.12 % (30825)------------------------------ 5.58/1.12 % (30825)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.58/1.12 % (30825)Termination reason: Unknown 5.58/1.12 % (30825)Termination phase: Saturation 5.58/1.12 5.58/1.12 % (30825)Memory used [KB]: 7164 5.58/1.12 % (30825)Time elapsed: 0.102 s 5.58/1.12 % (30825)Instructions burned: 280 (million) 5.58/1.12 % (30825)------------------------------ 5.58/1.12 % (30825)------------------------------ 5.58/1.13 % (30873)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 (1792ds/1670Mi) 6.03/1.15 % (30824)Instruction limit reached! 6.03/1.15 % (30824)------------------------------ 6.03/1.15 % (30824)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.03/1.15 % (30824)Termination reason: Unknown 6.03/1.15 % (30824)Termination phase: Saturation 6.03/1.15 6.03/1.15 % (30824)Memory used [KB]: 7036 6.03/1.15 % (30824)Time elapsed: 0.107 s 6.03/1.15 % (30824)Instructions burned: 395 (million) 6.03/1.15 % (30824)------------------------------ 6.03/1.15 % (30824)------------------------------ 6.03/1.15 % (30883)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 (1792ds/794Mi) 6.18/1.18 % (30831)Instruction limit reached! 6.18/1.18 % (30831)------------------------------ 6.18/1.18 % (30831)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.18/1.18 % (30831)Termination reason: Unknown 6.18/1.18 % (30831)Termination phase: Saturation 6.18/1.18 6.18/1.18 % (30831)Memory used [KB]: 8699 6.18/1.18 % (30831)Time elapsed: 0.146 s 6.18/1.18 % (30831)Instructions burned: 390 (million) 6.18/1.18 % (30831)------------------------------ 6.18/1.18 % (30831)------------------------------ 6.18/1.18 % (30883)Refutation not found, incomplete strategy 6.18/1.18 % (30883)------------------------------ 6.18/1.18 % (30883)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.18/1.18 % (30883)Termination reason: Refutation not found, incomplete strategy 6.18/1.18 6.18/1.18 6.18/1.18 % (30883)Memory used [KB]: 2174 6.18/1.18 % (30883)Time elapsed: 0.026 s 6.18/1.18 % (30883)Instructions burned: 100 (million) 6.18/1.18 % (30883)------------------------------ 6.18/1.18 % (30883)------------------------------ 6.18/1.18 % (30893)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 (1792ds/294Mi) 6.18/1.19 % (30896)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 (1792ds/970Mi) 6.18/1.20 % (30893)Refutation not found, incomplete strategy 6.18/1.20 % (30893)------------------------------ 6.18/1.20 % (30893)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.18/1.20 % (30893)Termination reason: Refutation not found, incomplete strategy 6.18/1.20 6.18/1.20 6.18/1.20 % (30893)Memory used [KB]: 6268 6.18/1.20 % (30893)Time elapsed: 0.017 s 6.18/1.20 % (30893)Instructions burned: 61 (million) 6.18/1.20 % (30893)------------------------------ 6.18/1.20 % (30893)------------------------------ 6.18/1.21 % (30913)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 (1791ds/383Mi) 6.46/1.24 % (30832)Instruction limit reached! 6.46/1.24 % (30832)------------------------------ 6.46/1.24 % (30832)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.46/1.24 % (30832)Termination reason: Unknown 6.46/1.24 % (30832)Termination phase: Saturation 6.46/1.24 6.46/1.24 % (30832)Memory used [KB]: 7675 6.46/1.24 % (30832)Time elapsed: 0.207 s 6.46/1.24 % (30832)Instructions burned: 594 (million) 6.46/1.24 % (30832)------------------------------ 6.46/1.24 % (30832)------------------------------ 6.46/1.24 % (30807)Instruction limit reached! 6.46/1.24 % (30807)------------------------------ 6.46/1.24 % (30807)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.46/1.24 % (30807)Termination reason: Unknown 6.46/1.24 % (30807)Termination phase: Saturation 6.46/1.24 6.46/1.24 % (30807)Memory used [KB]: 8059 6.46/1.24 % (30807)Time elapsed: 0.313 s 6.46/1.24 % (30807)Instructions burned: 940 (million) 6.46/1.24 % (30807)------------------------------ 6.46/1.24 % (30807)------------------------------ 6.46/1.25 % (30939)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 (1791ds/961Mi) 6.55/1.25 % (30944)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 (1791ds/1083Mi) 6.55/1.28 % (30845)Instruction limit reached! 6.55/1.28 % (30845)------------------------------ 6.55/1.28 % (30845)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.55/1.28 % (30845)Termination reason: Unknown 6.55/1.28 % (30845)Termination phase: Saturation 6.55/1.28 6.55/1.28 % (30845)Memory used [KB]: 12792 6.55/1.28 % (30845)Time elapsed: 0.197 s 6.55/1.28 % (30845)Instructions burned: 669 (million) 6.55/1.28 % (30845)------------------------------ 6.55/1.28 % (30845)------------------------------ 6.55/1.29 % (30965)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 (1791ds/1398Mi) 6.88/1.33 % (30913)Instruction limit reached! 6.88/1.33 % (30913)------------------------------ 6.88/1.33 % (30913)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.88/1.33 % (30913)Termination reason: Unknown 6.88/1.33 % (30913)Termination phase: Saturation 6.88/1.33 6.88/1.33 % (30913)Memory used [KB]: 10106 6.88/1.33 % (30913)Time elapsed: 0.119 s 6.88/1.33 % (30913)Instructions burned: 384 (million) 6.88/1.33 % (30913)------------------------------ 6.88/1.33 % (30913)------------------------------ 6.88/1.33 % (30986)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 (1790ds/562Mi) 6.88/1.34 % (30841)Instruction limit reached! 6.88/1.34 % (30841)------------------------------ 6.88/1.34 % (30841)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.88/1.34 % (30841)Termination reason: Unknown 6.88/1.34 % (30841)Termination phase: Saturation 6.88/1.34 6.88/1.34 % (30841)Memory used [KB]: 8059 6.88/1.34 % (30841)Time elapsed: 0.275 s 6.88/1.34 % (30841)Instructions burned: 907 (million) 6.88/1.34 % (30841)------------------------------ 6.88/1.34 % (30841)------------------------------ 6.88/1.35 % (30986)Refutation not found, incomplete strategy 6.88/1.35 % (30986)------------------------------ 6.88/1.35 % (30986)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.88/1.35 % (30986)Termination reason: Refutation not found, incomplete strategy 6.88/1.35 6.88/1.35 6.88/1.35 % (30986)Memory used [KB]: 6268 6.88/1.35 % (30986)Time elapsed: 0.016 s 6.88/1.35 % (30986)Instructions burned: 55 (million) 6.88/1.35 % (30986)------------------------------ 6.88/1.35 % (30986)------------------------------ 6.88/1.35 % (30993)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 (1790ds/1208Mi) 6.88/1.36 % (30965)Refutation not found, incomplete strategy 6.88/1.36 % (30965)------------------------------ 6.88/1.36 % (30965)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.88/1.36 % (30965)Termination reason: Refutation not found, incomplete strategy 6.88/1.36 6.88/1.36 6.88/1.36 % (30965)Memory used [KB]: 8315 6.88/1.36 % (30965)Time elapsed: 0.070 s 6.88/1.36 % (30965)Instructions burned: 236 (million) 6.88/1.36 % (30965)------------------------------ 6.88/1.36 % (30965)------------------------------ 6.88/1.36 % (30997)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 (1790ds/348Mi) 6.88/1.36 % (30998)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 (1790ds/343Mi) 7.28/1.45 % (30997)Instruction limit reached! 7.28/1.45 % (30997)------------------------------ 7.28/1.45 % (30997)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.28/1.45 % (30997)Termination reason: Unknown 7.28/1.45 % (30997)Termination phase: Saturation 7.28/1.45 7.28/1.45 % (30997)Memory used [KB]: 7547 7.28/1.45 % (30997)Time elapsed: 0.095 s 7.28/1.45 % (30997)Instructions burned: 350 (million) 7.28/1.45 % (30997)------------------------------ 7.28/1.45 % (30997)------------------------------ 7.28/1.46 % (31021)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 (1789ds/1655Mi) 7.28/1.47 % (30998)Instruction limit reached! 7.28/1.47 % (30998)------------------------------ 7.28/1.47 % (30998)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.28/1.47 % (30998)Termination reason: Unknown 7.28/1.47 % (30998)Termination phase: Saturation 7.28/1.47 7.28/1.47 % (30998)Memory used [KB]: 7675 7.28/1.47 % (30998)Time elapsed: 0.108 s 7.28/1.47 % (30998)Instructions burned: 345 (million) 7.28/1.47 % (30998)------------------------------ 7.28/1.47 % (30998)------------------------------ 7.28/1.47 % (30896)Instruction limit reached! 7.28/1.47 % (30896)------------------------------ 7.28/1.47 % (30896)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.28/1.47 % (30896)Termination reason: Unknown 7.28/1.47 % (30896)Termination phase: Saturation 7.28/1.47 7.28/1.47 % (30896)Memory used [KB]: 8187 7.28/1.47 % (30896)Time elapsed: 0.287 s 7.28/1.47 % (30896)Instructions burned: 971 (million) 7.28/1.47 % (30896)------------------------------ 7.28/1.47 % (30896)------------------------------ 7.81/1.48 % (31026)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 (1789ds/6454Mi) 7.81/1.48 % (31027)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 (1789ds/1539Mi) 7.81/1.49 % (31026)Refutation not found, incomplete strategy 7.81/1.49 % (31026)------------------------------ 7.81/1.49 % (31026)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.81/1.49 % (31026)Termination reason: Refutation not found, incomplete strategy 7.81/1.49 7.81/1.49 7.81/1.49 % (31026)Memory used [KB]: 6268 7.81/1.49 % (31026)Time elapsed: 0.016 s 7.81/1.49 % (31026)Instructions burned: 59 (million) 7.81/1.49 % (31026)------------------------------ 7.81/1.49 % (31026)------------------------------ 7.81/1.50 % (31036)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 (1788ds/501Mi) 7.90/1.54 % (31021)Refutation not found, incomplete strategy 7.90/1.54 % (31021)------------------------------ 7.90/1.54 % (31021)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.90/1.54 % (31021)Termination reason: Refutation not found, incomplete strategy 7.90/1.54 7.90/1.54 7.90/1.54 % (31021)Memory used [KB]: 8315 7.90/1.54 % (31021)Time elapsed: 0.078 s 7.90/1.54 % (31021)Instructions burned: 266 (million) 7.90/1.54 % (31021)------------------------------ 7.90/1.54 % (31021)------------------------------ 7.90/1.54 % (30939)Instruction limit reached! 7.90/1.54 % (30939)------------------------------ 7.90/1.54 % (30939)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.90/1.54 % (30939)Termination reason: Unknown 7.90/1.54 % (30939)Termination phase: Saturation 7.90/1.54 7.90/1.54 % (30939)Memory used [KB]: 8059 7.90/1.54 % (30939)Time elapsed: 0.296 s 7.90/1.54 % (30939)Instructions burned: 961 (million) 7.90/1.54 % (30939)------------------------------ 7.90/1.54 % (30939)------------------------------ 7.90/1.54 % (31059)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 (1788ds/277Mi) 8.30/1.55 % (31062)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 (1788ds/136Mi) 8.30/1.58 % (31062)Instruction limit reached! 8.30/1.58 % (31062)------------------------------ 8.30/1.58 % (31062)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 8.30/1.58 % (31062)Termination reason: Unknown 8.30/1.58 % (31062)Termination phase: Saturation 8.30/1.58 8.30/1.58 % (31062)Memory used [KB]: 7036 8.30/1.58 % (31062)Time elapsed: 0.035 s 8.30/1.58 % (31062)Instructions burned: 136 (million) 8.30/1.58 % (31062)------------------------------ 8.30/1.58 % (31062)------------------------------ 8.30/1.59 % (31078)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 (1788ds/401Mi) 8.30/1.59 % (30944)Instruction limit reached! 8.30/1.59 % (30944)------------------------------ 8.30/1.59 % (30944)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 8.30/1.59 % (30944)Termination reason: Unknown 8.30/1.59 % (30944)Termination phase: Saturation 8.30/1.59 8.30/1.59 % (30944)Memory used [KB]: 9850 8.30/1.59 % (30944)Time elapsed: 0.341 s 8.30/1.59 % (30944)Instructions burned: 1084 (million) 8.30/1.59 % (30944)------------------------------ 8.30/1.59 % (30944)------------------------------ 8.30/1.60 % (31079)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 (1788ds/4810Mi) 8.30/1.62 % (31059)Instruction limit reached! 8.30/1.62 % (31059)------------------------------ 8.30/1.62 % (31059)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 8.30/1.62 % (31059)Termination reason: Unknown 8.30/1.62 % (31059)Termination phase: Saturation 8.30/1.62 8.30/1.62 % (31059)Memory used [KB]: 6908 8.30/1.62 % (31059)Time elapsed: 0.073 s 8.30/1.62 % (31059)Instructions burned: 278 (million) 8.30/1.62 % (31059)------------------------------ 8.30/1.62 % (31059)------------------------------ 8.30/1.62 % (31080)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 (1787ds/2020Mi) 9.95/1.63 % (30873)Instruction limit reached! 9.95/1.63 % (30873)------------------------------ 9.95/1.63 % (30873)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 9.95/1.63 % (30873)Termination reason: Unknown 9.95/1.63 % (30873)Termination phase: Saturation 9.95/1.63 9.95/1.63 % (30873)Memory used [KB]: 9850 9.95/1.63 % (30873)Time elapsed: 0.497 s 9.95/1.63 % (30873)Instructions burned: 1670 (million) 9.95/1.63 % (30873)------------------------------ 9.95/1.63 % (30873)------------------------------ 9.95/1.64 % (31081)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 (1787ds/375Mi) 9.95/1.66 % (31036)Instruction limit reached! 9.95/1.66 % (31036)------------------------------ 9.95/1.66 % (31036)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 9.95/1.66 % (31036)Termination reason: Unknown 9.95/1.66 % (31036)Termination phase: Saturation 9.95/1.66 9.95/1.66 % (31036)Memory used [KB]: 9722 9.95/1.66 % (31036)Time elapsed: 0.148 s 9.95/1.66 % (31036)Instructions burned: 501 (million) 9.95/1.66 % (31036)------------------------------ 9.95/1.66 % (31036)------------------------------ 9.95/1.67 % (31082)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 (1787ds/8250Mi) 10.30/1.70 % (31078)Instruction limit reached! 10.30/1.70 % (31078)------------------------------ 10.30/1.70 % (31078)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 10.30/1.70 % (31078)Termination reason: Unknown 10.30/1.70 % (31078)Termination phase: Saturation 10.30/1.70 10.30/1.70 % (31078)Memory used [KB]: 7291 10.30/1.70 % (31078)Time elapsed: 0.115 s 10.30/1.70 % (31078)Instructions burned: 403 (million) 10.30/1.70 % (31078)------------------------------ 10.30/1.70 % (31078)------------------------------ 10.30/1.71 % (31083)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on Vampire---4 for (1786ds/187Mi) 10.30/1.74 % (30993)Instruction limit reached! 10.30/1.74 % (30993)------------------------------ 10.30/1.74 % (30993)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 10.30/1.74 % (30993)Termination reason: Unknown 10.30/1.74 % (30993)Termination phase: Saturation 10.30/1.74 10.30/1.74 % (30993)Memory used [KB]: 10874 10.30/1.74 % (30993)Time elapsed: 0.386 s 10.30/1.74 % (30993)Instructions burned: 1209 (million) 10.30/1.74 % (30993)------------------------------ 10.30/1.74 % (30993)------------------------------ 10.30/1.75 % (31084)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on Vampire---4 for (1786ds/393Mi) 10.30/1.75 % (31081)Instruction limit reached! 10.30/1.75 % (31081)------------------------------ 10.30/1.75 % (31081)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 10.30/1.75 % (31081)Termination reason: Unknown 10.30/1.75 % (31081)Termination phase: Saturation 10.30/1.75 10.30/1.75 % (31081)Memory used [KB]: 7291 10.30/1.75 % (31081)Time elapsed: 0.112 s 10.30/1.75 % (31081)Instructions burned: 378 (million) 10.30/1.75 % (31081)------------------------------ 10.30/1.75 % (31081)------------------------------ 10.30/1.75 % (31085)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on Vampire---4 for (1786ds/371Mi) 10.84/1.76 % (31083)Instruction limit reached! 10.84/1.76 % (31083)------------------------------ 10.84/1.76 % (31083)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 10.84/1.76 % (31083)Termination reason: Unknown 10.84/1.76 % (31083)Termination phase: Saturation 10.84/1.76 10.84/1.76 % (31083)Memory used [KB]: 6780 10.84/1.76 % (31083)Time elapsed: 0.049 s 10.84/1.76 % (31083)Instructions burned: 189 (million) 10.84/1.76 % (31083)------------------------------ 10.84/1.76 % (31083)------------------------------ 10.84/1.77 % (31086)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on Vampire---4 for (1786ds/434Mi) 10.97/1.78 % (31086)Refutation not found, incomplete strategy 10.97/1.78 % (31086)------------------------------ 10.97/1.78 % (31086)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 10.97/1.78 % (31086)Termination reason: Refutation not found, incomplete strategy 10.97/1.78 10.97/1.78 10.97/1.78 % (31086)Memory used [KB]: 6140 10.97/1.78 % (31086)Time elapsed: 0.009 s 10.97/1.78 % (31086)Instructions burned: 26 (million) 10.97/1.78 % (31086)------------------------------ 10.97/1.78 % (31086)------------------------------ 10.97/1.78 % (31087)lrs+10_1:8_av=off:fe=off:hud=5:piset=or:prag=on:i=452:si=on:rtra=on_0 on Vampire---4 for (1786ds/452Mi) 11.23/1.86 % (31085)Instruction limit reached! 11.23/1.86 % (31085)------------------------------ 11.23/1.86 % (31085)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.23/1.86 % (31085)Termination reason: Unknown 11.23/1.86 % (31085)Termination phase: Saturation 11.23/1.86 11.23/1.86 % (31085)Memory used [KB]: 7164 11.23/1.86 % (31085)Time elapsed: 0.105 s 11.23/1.86 % (31085)Instructions burned: 373 (million) 11.23/1.86 % (31085)------------------------------ 11.23/1.86 % (31085)------------------------------ 11.23/1.86 % (31084)Instruction limit reached! 11.23/1.86 % (31084)------------------------------ 11.23/1.86 % (31084)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.23/1.86 % (31084)Termination reason: Unknown 11.23/1.86 % (31084)Termination phase: Saturation 11.23/1.86 11.23/1.86 % (31084)Memory used [KB]: 7931 11.23/1.86 % (31084)Time elapsed: 0.121 s 11.23/1.86 % (31084)Instructions burned: 393 (million) 11.23/1.86 % (31084)------------------------------ 11.23/1.86 % (31084)------------------------------ 11.23/1.87 % (31088)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on Vampire---4 for (1785ds/5411Mi) 11.23/1.87 % (31089)dis+1010_1:1_cnfonf=conj_eager:e2e=on:fe=axiom:fsr=off:ntd=on:nwc=10.0:s2a=on:sgt=5:sp=occurrence:ss=axioms:i=1110:si=on:rtra=on_0 on Vampire---4 for (1785ds/1110Mi) 11.23/1.87 % (31088)Refutation not found, incomplete strategy 11.23/1.87 % (31088)------------------------------ 11.23/1.87 % (31088)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.23/1.87 % (31088)Termination reason: Refutation not found, incomplete strategy 11.23/1.87 11.23/1.87 11.23/1.87 % (31088)Memory used [KB]: 6140 11.23/1.87 % (31088)Time elapsed: 0.009 s 11.23/1.87 % (31088)Instructions burned: 26 (million) 11.23/1.87 % (31088)------------------------------ 11.23/1.87 % (31088)------------------------------ 11.23/1.88 % (31090)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on Vampire---4 for (1785ds/590Mi) 11.23/1.89 % (31089)Refutation not found, incomplete strategy 11.23/1.89 % (31089)------------------------------ 11.23/1.89 % (31089)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.23/1.89 % (31089)Termination reason: Refutation not found, incomplete strategy 11.23/1.89 11.23/1.89 11.23/1.89 % (31089)Memory used [KB]: 6268 11.23/1.89 % (31089)Time elapsed: 0.016 s 11.23/1.89 % (31089)Instructions burned: 59 (million) 11.23/1.89 % (31089)------------------------------ 11.23/1.89 % (31089)------------------------------ 11.23/1.90 % (31091)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on Vampire---4 for (1785ds/432Mi) 11.23/1.91 % (31091)Refutation not found, incomplete strategy 11.23/1.91 % (31091)------------------------------ 11.23/1.91 % (31091)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.23/1.91 % (31091)Termination reason: Refutation not found, incomplete strategy 11.23/1.91 11.23/1.91 11.23/1.91 % (31091)Memory used [KB]: 6268 11.23/1.91 % (31091)Time elapsed: 0.015 s 11.23/1.91 % (31091)Instructions burned: 53 (million) 11.23/1.91 % (31091)------------------------------ 11.23/1.91 % (31091)------------------------------ 11.86/1.92 % (31087)Instruction limit reached! 11.86/1.92 % (31087)------------------------------ 11.86/1.92 % (31087)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.86/1.92 % (31087)Termination reason: Unknown 11.86/1.92 % (31087)Termination phase: Saturation 11.86/1.92 11.86/1.92 % (31087)Memory used [KB]: 2942 11.86/1.92 % (31087)Time elapsed: 0.135 s 11.86/1.92 % (31087)Instructions burned: 452 (million) 11.86/1.92 % (31087)------------------------------ 11.86/1.92 % (31087)------------------------------ 11.86/1.92 % (31092)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=2517:si=on:rtra=on_0 on Vampire---4 for (1784ds/2517Mi) 11.86/1.93 % (31093)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on Vampire---4 for (1784ds/783Mi) 11.86/1.93 % (31093)Refutation not found, incomplete strategy 11.86/1.93 % (31093)------------------------------ 11.86/1.93 % (31093)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.86/1.93 % (31093)Termination reason: Refutation not found, incomplete strategy 11.86/1.93 11.86/1.93 11.86/1.93 % (31093)Memory used [KB]: 6268 11.86/1.93 % (31093)Time elapsed: 0.010 s 11.86/1.93 % (31093)Instructions burned: 28 (million) 11.86/1.93 % (31093)------------------------------ 11.86/1.93 % (31093)------------------------------ 11.86/1.94 % (31094)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on Vampire---4 for (1784ds/481Mi) 11.86/1.95 % (31027)Instruction limit reached! 11.86/1.95 % (31027)------------------------------ 11.86/1.95 % (31027)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.86/1.95 % (31027)Termination reason: Unknown 11.86/1.95 % (31027)Termination phase: Saturation 11.86/1.95 11.86/1.95 % (31027)Memory used [KB]: 9210 11.86/1.95 % (31027)Time elapsed: 0.473 s 11.86/1.95 % (31027)Instructions burned: 1540 (million) 11.86/1.95 % (31027)------------------------------ 11.86/1.95 % (31027)------------------------------ 11.86/1.96 % (31095)lrs+1010_1:64_aac=none:acc=on:au=on:c=on:cbe=off:ccuc=small_ones:chr=on:cnfonf=lazy_not_gen:fde=unused:hud=10:kws=precedence:nicw=on:piset=all_but_not_eq:sd=2:sp=reverse_arity:ss=axioms:i=536:si=on:rtra=on_0 on Vampire---4 for (1784ds/536Mi) 12.22/2.02 % (31090)Instruction limit reached! 12.22/2.02 % (31090)------------------------------ 12.22/2.02 % (31090)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 12.22/2.02 % (31090)Termination reason: Unknown 12.22/2.02 % (31090)Termination phase: Saturation 12.22/2.02 12.22/2.02 % (31090)Memory used [KB]: 7419 12.22/2.02 % (31090)Time elapsed: 0.137 s 12.22/2.02 % (31090)Instructions burned: 590 (million) 12.22/2.02 % (31090)------------------------------ 12.22/2.02 % (31090)------------------------------ 12.22/2.03 % (31096)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on Vampire---4 for (1783ds/157Mi) 12.61/2.06 % (31096)Instruction limit reached! 12.61/2.06 % (31096)------------------------------ 12.61/2.06 % (31096)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 12.61/2.06 % (31096)Termination reason: Unknown 12.61/2.06 % (31096)Termination phase: Saturation 12.61/2.06 12.61/2.06 % (31096)Memory used [KB]: 6652 12.61/2.06 % (31096)Time elapsed: 0.063 s 12.61/2.06 % (31096)Instructions burned: 157 (million) 12.61/2.06 % (31096)------------------------------ 12.61/2.06 % (31096)------------------------------ 12.61/2.07 % (31097)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on Vampire---4 for (1783ds/4350Mi) 12.61/2.07 % (31094)Instruction limit reached! 12.61/2.07 % (31094)------------------------------ 12.61/2.07 % (31094)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 12.61/2.07 % (31094)Termination reason: Unknown 12.61/2.07 % (31094)Termination phase: Saturation 12.61/2.07 12.61/2.07 % (31094)Memory used [KB]: 7291 12.61/2.07 % (31094)Time elapsed: 0.154 s 12.61/2.07 % (31094)Instructions burned: 482 (million) 12.61/2.07 % (31094)------------------------------ 12.61/2.07 % (31094)------------------------------ 12.71/2.08 % (31098)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on Vampire---4 for (1783ds/358Mi) 12.71/2.09 % (31097)Refutation not found, incomplete strategy 12.71/2.09 % (31097)------------------------------ 12.71/2.09 % (31097)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 12.71/2.09 % (31097)Termination reason: Refutation not found, incomplete strategy 12.71/2.09 12.71/2.09 12.71/2.09 % (31097)Memory used [KB]: 6268 12.71/2.09 % (31097)Time elapsed: 0.015 s 12.71/2.09 % (31097)Instructions burned: 54 (million) 12.71/2.09 % (31097)------------------------------ 12.71/2.09 % (31097)------------------------------ 12.71/2.09 % (31099)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=700:si=on:rtra=on_0 on Vampire---4 for (1783ds/700Mi) 13.00/2.12 % (31095)Instruction limit reached! 13.00/2.12 % (31095)------------------------------ 13.00/2.12 % (31095)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 13.00/2.12 % (31095)Termination reason: Unknown 13.00/2.12 % (31095)Termination phase: Saturation 13.00/2.12 13.00/2.12 % (31095)Memory used [KB]: 8187 13.00/2.12 % (31095)Time elapsed: 0.188 s 13.00/2.12 % (31095)Instructions burned: 538 (million) 13.00/2.12 % (31095)------------------------------ 13.00/2.12 % (31095)------------------------------ 13.00/2.13 % (31100)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on Vampire---4 for (1782ds/406Mi) 14.08/2.16 % (31100)Refutation not found, incomplete strategy 14.08/2.16 % (31100)------------------------------ 14.08/2.16 % (31100)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.08/2.16 % (31100)Termination reason: Refutation not found, incomplete strategy 14.08/2.16 14.08/2.16 14.08/2.16 % (31100)Memory used [KB]: 6396 14.08/2.16 % (31100)Time elapsed: 0.046 s 14.08/2.16 % (31100)Instructions burned: 88 (million) 14.08/2.16 % (31100)------------------------------ 14.08/2.16 % (31100)------------------------------ 14.08/2.16 % (31101)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on Vampire---4 for (1782ds/283Mi) 14.08/2.19 % (31098)Instruction limit reached! 14.08/2.19 % (31098)------------------------------ 14.08/2.19 % (31098)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.08/2.19 % (31098)Termination reason: Unknown 14.08/2.19 % (31098)Termination phase: Saturation 14.08/2.19 14.08/2.19 % (31098)Memory used [KB]: 7164 14.08/2.19 % (31098)Time elapsed: 0.128 s 14.08/2.19 % (31098)Instructions burned: 361 (million) 14.08/2.19 % (31098)------------------------------ 14.08/2.19 % (31098)------------------------------ 14.08/2.19 % (31102)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=641:si=on:rtra=on_0 on Vampire---4 for (1782ds/641Mi) 14.63/2.24 % (31080)Refutation not found, non-redundant clauses discarded% (31080)------------------------------ 14.63/2.24 % (31080)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.63/2.24 % (31080)Termination reason: Refutation not found, non-redundant clauses discarded 14.63/2.24 14.63/2.24 % (31080)Memory used [KB]: 8315 14.63/2.24 % (31080)Time elapsed: 0.620 s 14.63/2.24 % (31080)Instructions burned: 2007 (million) 14.63/2.24 % (31080)------------------------------ 14.63/2.24 % (31080)------------------------------ 14.63/2.24 % (31101)Instruction limit reached! 14.63/2.24 % (31101)------------------------------ 14.63/2.24 % (31101)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.63/2.24 % (31101)Termination reason: Unknown 14.63/2.24 % (31101)Termination phase: Saturation 14.63/2.24 14.63/2.24 % (31101)Memory used [KB]: 7164 14.63/2.24 % (31101)Time elapsed: 0.102 s 14.63/2.24 % (31101)Instructions burned: 285 (million) 14.63/2.24 % (31101)------------------------------ 14.63/2.24 % (31101)------------------------------ 14.63/2.25 % (31103)lrs+1010_1:1_cbe=off:chr=on:er=known:hud=4:i=147:si=on:rtra=on_0 on Vampire---4 for (1781ds/147Mi) 14.63/2.25 % (31104)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on Vampire---4 for (1781ds/932Mi) 14.63/2.29 % (31099)Instruction limit reached! 14.63/2.29 % (31099)------------------------------ 14.63/2.29 % (31099)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.63/2.29 % (31099)Termination reason: Unknown 14.63/2.29 % (31099)Termination phase: Saturation 14.63/2.29 14.63/2.29 % (31099)Memory used [KB]: 7547 14.63/2.29 % (31099)Time elapsed: 0.215 s 14.63/2.29 % (31099)Instructions burned: 701 (million) 14.63/2.29 % (31099)------------------------------ 14.63/2.29 % (31099)------------------------------ 15.05/2.29 % (31103)Instruction limit reached! 15.05/2.29 % (31103)------------------------------ 15.05/2.29 % (31103)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 15.05/2.29 % (31103)Termination reason: Unknown 15.05/2.29 % (31103)Termination phase: Saturation 15.05/2.29 15.05/2.29 % (31103)Memory used [KB]: 6908 15.05/2.29 % (31103)Time elapsed: 0.038 s 15.05/2.29 % (31103)Instructions burned: 148 (million) 15.05/2.29 % (31103)------------------------------ 15.05/2.29 % (31103)------------------------------ 15.05/2.29 % (31105)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on Vampire---4 for (1780ds/2401Mi) 15.05/2.30 % (31106)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=576:si=on:rtra=on_0 on Vampire---4 for (1780ds/576Mi) 15.39/2.39 % (31102)Instruction limit reached! 15.39/2.39 % (31102)------------------------------ 15.39/2.39 % (31102)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 15.39/2.39 % (31102)Termination reason: Unknown 15.39/2.39 % (31102)Termination phase: Saturation 15.39/2.39 15.39/2.39 % (31102)Memory used [KB]: 7803 15.39/2.39 % (31102)Time elapsed: 0.226 s 15.39/2.39 % (31102)Instructions burned: 643 (million) 15.39/2.39 % (31102)------------------------------ 15.39/2.39 % (31102)------------------------------ 15.39/2.40 % (31107)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on Vampire---4 for (1779ds/715Mi) 15.90/2.47 % (31106)Instruction limit reached! 15.90/2.47 % (31106)------------------------------ 15.90/2.47 % (31106)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 15.90/2.47 % (31106)Termination reason: Unknown 15.90/2.47 % (31106)Termination phase: Saturation 15.90/2.47 15.90/2.47 % (31106)Memory used [KB]: 7803 15.90/2.47 % (31106)Time elapsed: 0.175 s 15.90/2.47 % (31106)Instructions burned: 576 (million) 15.90/2.47 % (31106)------------------------------ 15.90/2.47 % (31106)------------------------------ 15.90/2.48 % (31108)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on Vampire---4 for (1779ds/1762Mi) 16.43/2.54 % (31104)Instruction limit reached! 16.43/2.54 % (31104)------------------------------ 16.43/2.54 % (31104)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 16.43/2.54 % (31104)Termination reason: Unknown 16.43/2.54 % (31104)Termination phase: Saturation 16.43/2.54 16.43/2.54 % (31104)Memory used [KB]: 9722 16.43/2.54 % (31104)Time elapsed: 0.285 s 16.43/2.54 % (31104)Instructions burned: 932 (million) 16.43/2.54 % (31104)------------------------------ 16.43/2.54 % (31104)------------------------------ 16.43/2.54 % (31109)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on Vampire---4 for (1778ds/503Mi) 16.43/2.56 % (31109)Refutation not found, incomplete strategy 16.43/2.56 % (31109)------------------------------ 16.43/2.56 % (31109)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 16.43/2.56 % (31109)Termination reason: Refutation not found, incomplete strategy 16.43/2.56 16.43/2.56 16.43/2.56 % (31109)Memory used [KB]: 6268 16.43/2.56 % (31109)Time elapsed: 0.015 s 16.43/2.56 % (31109)Instructions burned: 53 (million) 16.43/2.56 % (31109)------------------------------ 16.43/2.56 % (31109)------------------------------ 16.43/2.57 % (31110)dis+1010_3039923:1048576_bsr=unit_only:cbe=off:cha=on:cnfonf=off:e2e=on:fsr=off:hud=1:ixr=off:kws=precedence:lma=on:nm=4:piset=or:s2a=on:sp=frequency:spb=goal_then_units:i=5104:si=on:rtra=on_0 on Vampire---4 for (1778ds/5104Mi) 17.00/2.59 % (30839)Instruction limit reached! 17.00/2.59 % (30839)------------------------------ 17.00/2.59 % (30839)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 17.00/2.59 % (30839)Termination reason: Unknown 17.00/2.59 % (30839)Termination phase: Saturation 17.00/2.59 17.00/2.59 % (30839)Memory used [KB]: 16886 17.00/2.59 % (30839)Time elapsed: 1.520 s 17.00/2.59 % (30839)Instructions burned: 4760 (million) 17.00/2.59 % (30839)------------------------------ 17.00/2.59 % (30839)------------------------------ 17.00/2.60 % (31111)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=312:si=on:rtra=on_0 on Vampire---4 for (1777ds/312Mi) 17.00/2.61 % (31107)Instruction limit reached! 17.00/2.61 % (31107)------------------------------ 17.00/2.61 % (31107)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 17.00/2.61 % (31107)Termination reason: Unknown 17.00/2.61 % (31107)Termination phase: Saturation 17.00/2.61 17.00/2.61 % (31107)Memory used [KB]: 4221 17.00/2.61 % (31107)Time elapsed: 0.212 s 17.00/2.61 % (31107)Instructions burned: 715 (million) 17.00/2.61 % (31107)------------------------------ 17.00/2.61 % (31107)------------------------------ 17.00/2.62 % (31112)ott+10_1:1_au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:sp=unary_first:i=153:si=on:rtra=on_0 on Vampire---4 for (1777ds/153Mi) 17.43/2.66 % (31112)Instruction limit reached! 17.43/2.66 % (31112)------------------------------ 17.43/2.66 % (31112)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 17.43/2.66 % (31112)Termination reason: Unknown 17.43/2.66 % (31112)Termination phase: Saturation 17.43/2.66 17.43/2.66 % (31112)Memory used [KB]: 6780 17.43/2.66 % (31112)Time elapsed: 0.040 s 17.43/2.66 % (31112)Instructions burned: 156 (million) 17.43/2.66 % (31112)------------------------------ 17.43/2.66 % (31112)------------------------------ 17.51/2.67 % (31113)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on Vampire---4 for (1777ds/258Mi) 17.51/2.68 % (31092)Instruction limit reached! 17.51/2.68 % (31092)------------------------------ 17.51/2.68 % (31092)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 17.51/2.68 % (31092)Termination reason: Unknown 17.51/2.68 % (31092)Termination phase: Saturation 17.51/2.68 17.51/2.68 % (31092)Memory used [KB]: 9722 17.51/2.68 % (31092)Time elapsed: 0.760 s 17.51/2.68 % (31092)Instructions burned: 2519 (million) 17.51/2.68 % (31092)------------------------------ 17.51/2.68 % (31092)------------------------------ 17.51/2.69 % (31114)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on Vampire---4 for (1777ds/770Mi) 17.51/2.69 % (31111)Instruction limit reached! 17.51/2.69 % (31111)------------------------------ 17.51/2.69 % (31111)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 17.51/2.69 % (31111)Termination reason: Unknown 17.51/2.69 % (31111)Termination phase: Saturation 17.51/2.69 17.51/2.69 % (31111)Memory used [KB]: 7547 17.51/2.69 % (31111)Time elapsed: 0.095 s 17.51/2.69 % (31111)Instructions burned: 312 (million) 17.51/2.69 % (31111)------------------------------ 17.51/2.69 % (31111)------------------------------ 17.51/2.70 % (31115)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on Vampire---4 for (1777ds/1001Mi) 18.63/2.73 % (31113)Instruction limit reached! 18.63/2.73 % (31113)------------------------------ 18.63/2.73 % (31113)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 18.63/2.73 % (31113)Termination reason: Unknown 18.63/2.73 % (31113)Termination phase: Saturation 18.63/2.73 18.63/2.73 % (31113)Memory used [KB]: 7419 18.63/2.73 % (31113)Time elapsed: 0.067 s 18.63/2.73 % (31113)Instructions burned: 259 (million) 18.63/2.73 % (31113)------------------------------ 18.63/2.73 % (31113)------------------------------ 18.63/2.74 % (31116)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on Vampire---4 for (1776ds/4436Mi) 18.88/2.75 % (31116)Refutation not found, incomplete strategy 18.88/2.75 % (31116)------------------------------ 18.88/2.75 % (31116)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 18.88/2.75 % (31116)Termination reason: Refutation not found, incomplete strategy 18.88/2.75 18.88/2.75 18.88/2.75 % (31116)Memory used [KB]: 6268 18.88/2.75 % (31116)Time elapsed: 0.010 s 18.88/2.75 % (31116)Instructions burned: 28 (million) 18.88/2.75 % (31116)------------------------------ 18.88/2.75 % (31116)------------------------------ 18.88/2.75 % (31114)Refutation not found, incomplete strategy 18.88/2.75 % (31114)------------------------------ 18.88/2.75 % (31114)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 18.88/2.75 % (31114)Termination reason: Refutation not found, incomplete strategy 18.88/2.75 18.88/2.75 18.88/2.75 % (31114)Memory used [KB]: 7036 18.88/2.75 % (31114)Time elapsed: 0.065 s 18.88/2.75 % (31114)Instructions burned: 213 (million) 18.88/2.75 % (31114)------------------------------ 18.88/2.75 % (31114)------------------------------ 18.88/2.76 % (31117)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 (1776ds/90Mi) 18.88/2.76 % (31118)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=454:si=on:rtra=on_0 on Vampire---4 for (1776ds/454Mi) 18.88/2.78 % (31117)Instruction limit reached! 18.88/2.78 % (31117)------------------------------ 18.88/2.78 % (31117)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 18.88/2.78 % (31117)Termination reason: Unknown 18.88/2.78 % (31117)Termination phase: Property scanning 18.88/2.78 18.88/2.78 % (31117)Memory used [KB]: 2174 18.88/2.78 % (31117)Time elapsed: 0.022 s 18.88/2.78 % (31117)Instructions burned: 90 (million) 18.88/2.78 % (31117)------------------------------ 18.88/2.78 % (31117)------------------------------ 18.88/2.78 % (31119)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on Vampire---4 for (1776ds/346Mi) 19.46/2.88 % (31119)Instruction limit reached! 19.46/2.88 % (31119)------------------------------ 19.46/2.88 % (31119)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 19.46/2.88 % (31119)Termination reason: Unknown 19.46/2.88 % (31119)Termination phase: Saturation 19.46/2.88 19.46/2.88 % (31119)Memory used [KB]: 6908 19.46/2.88 % (31119)Time elapsed: 0.095 s 19.46/2.88 % (31119)Instructions burned: 346 (million) 19.46/2.88 % (31119)------------------------------ 19.46/2.88 % (31119)------------------------------ 19.85/2.89 % (31120)lrs+1666_1:1_au=on:s2a=on:sd=2:ss=axioms:st=5.0:i=1400:si=on:rtra=on_0 on Vampire---4 for (1775ds/1400Mi) 19.85/2.89 % (31118)Instruction limit reached! 19.85/2.89 % (31118)------------------------------ 19.85/2.89 % (31118)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 19.85/2.89 % (31118)Termination reason: Unknown 19.85/2.89 % (31118)Termination phase: Saturation 19.85/2.89 19.85/2.89 % (31118)Memory used [KB]: 7547 19.85/2.89 % (31118)Time elapsed: 0.134 s 19.85/2.89 % (31118)Instructions burned: 456 (million) 19.85/2.89 % (31118)------------------------------ 19.85/2.89 % (31118)------------------------------ 19.85/2.90 % (31121)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1229:si=on:rtra=on_0 on Vampire---4 for (1775ds/1229Mi) 19.85/2.94 % (31108)Instruction limit reached! 19.85/2.94 % (31108)------------------------------ 19.85/2.94 % (31108)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 19.85/2.94 % (31108)Termination reason: Unknown 19.85/2.94 % (31108)Termination phase: Saturation 19.85/2.94 19.85/2.94 % (31108)Memory used [KB]: 8059 19.85/2.94 % (31108)Time elapsed: 0.467 s 19.85/2.94 % (31108)Instructions burned: 1762 (million) 19.85/2.94 % (31108)------------------------------ 19.85/2.94 % (31108)------------------------------ 20.35/2.95 % (31122)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=466:si=on:rtra=on_0 on Vampire---4 for (1774ds/466Mi) 20.40/2.98 % (31115)Instruction limit reached! 20.40/2.98 % (31115)------------------------------ 20.40/2.98 % (31115)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 20.40/2.98 % (31115)Termination reason: Unknown 20.40/2.98 % (31115)Termination phase: Saturation 20.40/2.98 20.40/2.98 % (31115)Memory used [KB]: 8827 20.40/2.98 % (31115)Time elapsed: 0.282 s 20.40/2.98 % (31115)Instructions burned: 1002 (million) 20.40/2.98 % (31115)------------------------------ 20.40/2.98 % (31115)------------------------------ 20.40/2.99 % (31123)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on Vampire---4 for (1774ds/1335Mi) 20.63/3.04 % (31105)Instruction limit reached! 20.63/3.04 % (31105)------------------------------ 20.63/3.04 % (31105)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 20.63/3.04 % (31105)Termination reason: Unknown 20.63/3.04 % (31105)Termination phase: Saturation 20.63/3.04 20.63/3.04 % (31105)Memory used [KB]: 13048 20.63/3.04 % (31105)Time elapsed: 0.750 s 20.63/3.04 % (31105)Instructions burned: 2402 (million) 20.63/3.04 % (31105)------------------------------ 20.63/3.04 % (31105)------------------------------ 20.80/3.05 % (31124)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on Vampire---4 for (1773ds/1213Mi) 20.80/3.06 % (31079)Instruction limit reached! 20.80/3.06 % (31079)------------------------------ 20.80/3.06 % (31079)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 20.80/3.06 % (31079)Termination reason: Unknown 20.80/3.06 % (31079)Termination phase: Saturation 20.80/3.06 20.80/3.06 % (31079)Memory used [KB]: 20596 20.80/3.06 % (31079)Time elapsed: 1.460 s 20.80/3.06 % (31079)Instructions burned: 4812 (million) 20.80/3.06 % (31079)------------------------------ 20.80/3.06 % (31079)------------------------------ 20.80/3.07 % (31125)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on Vampire---4 for (1773ds/4528Mi) 20.80/3.08 % (31125)Refutation not found, incomplete strategy 20.80/3.08 % (31125)------------------------------ 20.80/3.08 % (31125)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 20.80/3.08 % (31125)Termination reason: Refutation not found, incomplete strategy 20.80/3.08 20.80/3.08 20.80/3.08 % (31125)Memory used [KB]: 1791 20.80/3.08 % (31125)Time elapsed: 0.015 s 20.80/3.08 % (31125)Instructions burned: 53 (million) 20.80/3.08 % (31125)------------------------------ 20.80/3.08 % (31125)------------------------------ 20.80/3.09 % (31122)Instruction limit reached! 20.80/3.09 % (31122)------------------------------ 20.80/3.09 % (31122)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 20.80/3.09 % (31122)Termination reason: Unknown 20.80/3.09 % (31122)Termination phase: Saturation 20.80/3.09 20.80/3.09 % (31122)Memory used [KB]: 7419 20.80/3.09 % (31122)Time elapsed: 0.136 s 20.80/3.09 % (31122)Instructions burned: 467 (million) 20.80/3.09 % (31122)------------------------------ 20.80/3.09 % (31122)------------------------------ 20.80/3.09 % (31126)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on Vampire---4 for (1773ds/443Mi) 20.80/3.09 % (31127)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on Vampire---4 for (1773ds/360Mi) 21.28/3.20 % (31127)Instruction limit reached! 21.28/3.20 % (31127)------------------------------ 21.28/3.20 % (31127)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 21.28/3.20 % (31127)Termination reason: Unknown 21.28/3.20 % (31127)Termination phase: Saturation 21.28/3.20 21.28/3.20 % (31127)Memory used [KB]: 7164 21.28/3.20 % (31127)Time elapsed: 0.104 s 21.28/3.20 % (31127)Instructions burned: 361 (million) 21.28/3.20 % (31127)------------------------------ 21.28/3.20 % (31127)------------------------------ 21.28/3.20 % (31128)lrs+1002_1:1_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:cond=fast:fsr=off:piset=or:sp=const_frequency:uhcvi=on:updr=off:i=314:si=on:rtra=on_0 on Vampire---4 for (1772ds/314Mi) 21.28/3.22 % (31126)Instruction limit reached! 21.28/3.22 % (31126)------------------------------ 21.28/3.22 % (31126)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 21.28/3.22 % (31126)Termination reason: Unknown 21.28/3.22 % (31126)Termination phase: Saturation 21.28/3.22 21.28/3.22 % (31126)Memory used [KB]: 7291 21.28/3.22 % (31126)Time elapsed: 0.131 s 21.28/3.22 % (31126)Instructions burned: 443 (million) 21.28/3.22 % (31126)------------------------------ 21.28/3.22 % (31126)------------------------------ 21.28/3.23 % (31129)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on Vampire---4 for (1771ds/865Mi) 22.99/3.27 % (31121)Instruction limit reached! 22.99/3.27 % (31121)------------------------------ 22.99/3.27 % (31121)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 22.99/3.27 % (31121)Termination reason: Unknown 22.99/3.27 % (31121)Termination phase: Saturation 22.99/3.27 22.99/3.27 % (31121)Memory used [KB]: 5500 22.99/3.27 % (31121)Time elapsed: 0.365 s 22.99/3.27 % (31121)Instructions burned: 1230 (million) 22.99/3.27 % (31121)------------------------------ 22.99/3.27 % (31121)------------------------------ 22.99/3.28 % (31130)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 (1771ds/668Mi) 22.99/3.29 % (31128)Instruction limit reached! 22.99/3.29 % (31128)------------------------------ 22.99/3.29 % (31128)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 22.99/3.29 % (31128)Termination reason: Unknown 22.99/3.29 % (31128)Termination phase: Saturation 22.99/3.29 22.99/3.29 % (31128)Memory used [KB]: 7547 22.99/3.29 % (31128)Time elapsed: 0.091 s 22.99/3.29 % (31128)Instructions burned: 314 (million) 22.99/3.29 % (31128)------------------------------ 22.99/3.29 % (31128)------------------------------ 22.99/3.30 % (31131)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=517:si=on:rtra=on_0 on Vampire---4 for (1771ds/517Mi) 22.99/3.30 % (31120)Refutation not found, non-redundant clauses discarded% (31120)------------------------------ 22.99/3.30 % (31120)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 22.99/3.30 % (31120)Termination reason: Refutation not found, non-redundant clauses discarded 22.99/3.30 22.99/3.30 % (31120)Memory used [KB]: 9466 22.99/3.30 % (31120)Time elapsed: 0.418 s 22.99/3.30 % (31120)Instructions burned: 1354 (million) 22.99/3.30 % (31120)------------------------------ 22.99/3.30 % (31120)------------------------------ 22.99/3.31 % (31132)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on Vampire---4 for (1770ds/1871Mi) 23.54/3.37 % (31124)Refutation not found, non-redundant clauses discarded% (31124)------------------------------ 23.54/3.37 % (31124)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 23.54/3.37 % (31124)Termination reason: Refutation not found, non-redundant clauses discarded 23.54/3.37 23.54/3.37 % (31124)Memory used [KB]: 12025 23.54/3.37 % (31124)Time elapsed: 0.323 s 23.54/3.37 % (31124)Instructions burned: 1084 (million) 23.54/3.37 % (31124)------------------------------ 23.54/3.37 % (31124)------------------------------ 23.54/3.38 % (31133)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on Vampire---4 for (1770ds/578Mi) 23.54/3.40 % (31131)Refutation not found, non-redundant clauses discarded% (31131)------------------------------ 23.54/3.40 % (31131)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 23.54/3.40 % (31131)Termination reason: Refutation not found, non-redundant clauses discarded 23.54/3.40 23.54/3.40 % (31131)Memory used [KB]: 7036 23.54/3.40 % (31131)Time elapsed: 0.100 s 23.54/3.40 % (31131)Instructions burned: 379 (million) 23.54/3.40 % (31131)------------------------------ 23.54/3.40 % (31131)------------------------------ 23.54/3.41 % (31123)Instruction limit reached! 23.54/3.41 % (31123)------------------------------ 23.54/3.41 % (31123)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 23.54/3.41 % (31123)Termination reason: Unknown 23.54/3.41 % (31123)Termination phase: Saturation 23.54/3.41 23.54/3.41 % (31123)Memory used [KB]: 8827 23.54/3.41 % (31123)Time elapsed: 0.420 s 23.54/3.41 % (31123)Instructions burned: 1336 (million) 23.54/3.41 % (31123)------------------------------ 23.54/3.41 % (31123)------------------------------ 23.54/3.41 % (31134)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on Vampire---4 for (1769ds/3174Mi) 23.54/3.42 % (31135)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 (1769ds/348Mi) 23.99/3.44 % (31129)Instruction limit reached! 23.99/3.44 % (31129)------------------------------ 23.99/3.44 % (31129)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 23.99/3.44 % (31129)Termination reason: Unknown 23.99/3.44 % (31129)Termination phase: Saturation 23.99/3.44 23.99/3.44 % (31129)Memory used [KB]: 7419 23.99/3.44 % (31129)Time elapsed: 0.218 s 23.99/3.44 % (31129)Instructions burned: 865 (million) 23.99/3.44 % (31129)------------------------------ 23.99/3.44 % (31129)------------------------------ 23.99/3.45 % (31136)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=5045:si=on:rtra=on_0 on Vampire---4 for (1769ds/5045Mi) 23.99/3.47 % (31130)Instruction limit reached! 23.99/3.47 % (31130)------------------------------ 23.99/3.47 % (31130)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 23.99/3.47 % (31130)Termination reason: Unknown 23.99/3.47 % (31130)Termination phase: Saturation 23.99/3.47 23.99/3.47 % (31130)Memory used [KB]: 12792 23.99/3.47 % (31130)Time elapsed: 0.198 s 23.99/3.47 % (31130)Instructions burned: 669 (million) 23.99/3.47 % (31130)------------------------------ 23.99/3.47 % (31130)------------------------------ 24.28/3.48 % (31137)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on Vampire---4 for (1769ds/3672Mi) 24.28/3.51 % (31135)Instruction limit reached! 24.28/3.51 % (31135)------------------------------ 24.28/3.51 % (31135)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 24.28/3.51 % (31135)Termination reason: Unknown 24.28/3.51 % (31135)Termination phase: Saturation 24.28/3.51 24.28/3.51 % (31135)Memory used [KB]: 7675 24.28/3.51 % (31135)Time elapsed: 0.120 s 24.28/3.51 % (31135)Instructions burned: 348 (million) 24.28/3.51 % (31135)------------------------------ 24.28/3.51 % (31135)------------------------------ 24.28/3.52 % (31138)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on Vampire---4 for (1768ds/1201Mi) 24.51/3.54 % (31133)Instruction limit reached! 24.51/3.54 % (31133)------------------------------ 24.51/3.54 % (31133)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 24.51/3.54 % (31133)Termination reason: Unknown 24.51/3.54 % (31133)Termination phase: Saturation 24.51/3.54 24.51/3.54 % (31133)Memory used [KB]: 8187 24.51/3.54 % (31133)Time elapsed: 0.187 s 24.51/3.54 % (31133)Instructions burned: 581 (million) 24.51/3.54 % (31133)------------------------------ 24.51/3.54 % (31133)------------------------------ 24.51/3.55 % (31139)dis+1010_1:1_anc=all:c=on:cnfonf=off:fsr=off:kws=inv_frequency:nwc=5.0:sos=on:sp=occurrence:i=344:si=on:rtra=on_0 on Vampire---4 for (1768ds/344Mi) 24.84/3.63 % (31139)Instruction limit reached! 24.84/3.63 % (31139)------------------------------ 24.84/3.63 % (31139)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 24.84/3.63 % (31139)Termination reason: Unknown 24.84/3.63 % (31139)Termination phase: Saturation 24.84/3.63 24.84/3.63 % (31139)Memory used [KB]: 6780 24.84/3.63 % (31139)Time elapsed: 0.082 s 24.84/3.63 % (31139)Instructions burned: 348 (million) 24.84/3.63 % (31139)------------------------------ 24.84/3.63 % (31139)------------------------------ 24.84/3.64 % (31140)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on Vampire---4 for (1767ds/643Mi) 25.17/3.77 % (31138)Refutation not found, non-redundant clauses discarded% (31138)------------------------------ 25.17/3.77 % (31138)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 25.17/3.77 % (31138)Termination reason: Refutation not found, non-redundant clauses discarded 25.17/3.77 25.17/3.77 % (31138)Memory used [KB]: 8187 25.17/3.77 % (31138)Time elapsed: 0.278 s 25.17/3.77 % (31138)Instructions burned: 929 (million) 25.17/3.77 % (31138)------------------------------ 25.17/3.77 % (31138)------------------------------ 25.51/3.78 % (31141)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=149:si=on:rtra=on_0 on Vampire---4 for (1766ds/149Mi) 25.51/3.83 % (31140)Instruction limit reached! 25.51/3.83 % (31140)------------------------------ 25.51/3.83 % (31140)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 25.51/3.83 % (31140)Termination reason: Unknown 25.51/3.83 % (31140)Termination phase: Saturation 25.51/3.83 25.51/3.83 % (31140)Memory used [KB]: 7547 25.51/3.83 % (31140)Time elapsed: 0.186 s 25.51/3.83 % (31140)Instructions burned: 645 (million) 25.51/3.83 % (31140)------------------------------ 25.51/3.83 % (31140)------------------------------ 25.51/3.83 % (31141)Instruction limit reached! 25.51/3.83 % (31141)------------------------------ 25.51/3.83 % (31141)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 25.51/3.83 % (31141)Termination reason: Unknown 25.51/3.83 % (31141)Termination phase: Saturation 25.51/3.83 25.51/3.83 % (31141)Memory used [KB]: 9083 25.51/3.83 % (31141)Time elapsed: 0.046 s 25.51/3.83 % (31141)Instructions burned: 151 (million) 25.51/3.83 % (31141)------------------------------ 25.51/3.83 % (31141)------------------------------ 25.51/3.83 % (31142)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on Vampire---4 for (1765ds/326Mi) 25.51/3.83 % (31143)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on Vampire---4 for (1765ds/157Mi) 27.62/3.85 % (31142)Refutation not found, incomplete strategy 27.62/3.85 % (31142)------------------------------ 27.62/3.85 % (31142)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 27.62/3.85 % (31142)Termination reason: Refutation not found, incomplete strategy 27.62/3.85 27.62/3.85 27.62/3.85 % (31142)Memory used [KB]: 6268 27.62/3.85 % (31142)Time elapsed: 0.015 s 27.62/3.85 % (31142)Instructions burned: 54 (million) 27.62/3.85 % (31142)------------------------------ 27.62/3.85 % (31142)------------------------------ 27.62/3.86 % (31144)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on Vampire---4 for (1765ds/340Mi) 27.77/3.88 % (31143)Instruction limit reached! 27.77/3.88 % (31143)------------------------------ 27.77/3.88 % (31143)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 27.77/3.88 % (31143)Termination reason: Unknown 27.77/3.88 % (31143)Termination phase: Saturation 27.77/3.88 27.77/3.88 % (31143)Memory used [KB]: 6652 27.77/3.88 % (31143)Time elapsed: 0.042 s 27.77/3.88 % (31143)Instructions burned: 158 (million) 27.77/3.88 % (31143)------------------------------ 27.77/3.88 % (31143)------------------------------ 27.77/3.89 % (31145)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=8062:si=on:rtra=on_0 on Vampire---4 for (1765ds/8062Mi) 27.77/3.89 % (31132)Instruction limit reached! 27.77/3.89 % (31132)------------------------------ 27.77/3.89 % (31132)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 27.77/3.89 % (31132)Termination reason: Unknown 27.77/3.89 % (31132)Termination phase: Saturation 27.77/3.89 27.77/3.89 % (31132)Memory used [KB]: 17142 27.77/3.89 % (31132)Time elapsed: 0.605 s 27.77/3.89 % (31132)Instructions burned: 1872 (million) 27.77/3.89 % (31132)------------------------------ 27.77/3.89 % (31132)------------------------------ 27.77/3.90 % (31146)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on Vampire---4 for (1764ds/1321Mi) 27.77/3.91 % (31145)Refutation not found, incomplete strategy 27.77/3.91 % (31145)------------------------------ 27.77/3.91 % (31145)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 27.77/3.91 % (31145)Termination reason: Refutation not found, incomplete strategy 27.77/3.91 27.77/3.91 27.77/3.91 % (31145)Memory used [KB]: 6268 27.77/3.91 % (31145)Time elapsed: 0.015 s 27.77/3.91 % (31145)Instructions burned: 53 (million) 27.77/3.91 % (31145)------------------------------ 27.77/3.91 % (31145)------------------------------ 27.77/3.91 % (31147)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on Vampire---4 for (1764ds/2812Mi) 28.32/3.96 % (31144)Instruction limit reached! 28.32/3.96 % (31144)------------------------------ 28.32/3.96 % (31144)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 28.32/3.96 % (31144)Termination reason: Unknown 28.32/3.96 % (31144)Termination phase: Saturation 28.32/3.96 28.32/3.96 % (31144)Memory used [KB]: 10106 28.32/3.96 % (31144)Time elapsed: 0.101 s 28.32/3.96 % (31144)Instructions burned: 343 (million) 28.32/3.96 % (31144)------------------------------ 28.32/3.96 % (31144)------------------------------ 28.32/3.96 % (31148)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on Vampire---4 for (1764ds/5061Mi) 28.98/4.13 % (31110)Instruction limit reached! 28.98/4.13 % (31110)------------------------------ 28.98/4.13 % (31110)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 28.98/4.13 % (31110)Termination reason: Unknown 28.98/4.13 % (31110)Termination phase: Saturation 28.98/4.13 28.98/4.13 % (31110)Memory used [KB]: 29167 28.98/4.13 % (31110)Time elapsed: 1.563 s 28.98/4.13 % (31110)Instructions burned: 5105 (million) 28.98/4.13 % (31110)------------------------------ 28.98/4.13 % (31110)------------------------------ 29.33/4.14 % (31149)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on Vampire---4 for (1762ds/7257Mi) 29.44/4.19 % (31149)Refutation not found, incomplete strategy 29.44/4.19 % (31149)------------------------------ 29.44/4.19 % (31149)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 29.44/4.19 % (31149)Termination reason: Refutation not found, incomplete strategy 29.44/4.19 29.44/4.19 29.44/4.19 % (31149)Memory used [KB]: 6652 29.44/4.19 % (31149)Time elapsed: 0.049 s 29.44/4.19 % (31149)Instructions burned: 161 (million) 29.44/4.19 % (31149)------------------------------ 29.44/4.19 % (31149)------------------------------ 29.44/4.19 % (31150)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on Vampire---4 for (1762ds/4604Mi) 29.44/4.21 % (31150)Refutation not found, incomplete strategy 29.44/4.21 % (31150)------------------------------ 29.44/4.21 % (31150)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 29.44/4.21 % (31150)Termination reason: Refutation not found, incomplete strategy 29.44/4.21 29.44/4.21 29.44/4.21 % (31150)Memory used [KB]: 6268 29.44/4.21 % (31150)Time elapsed: 0.015 s 29.44/4.21 % (31150)Instructions burned: 53 (million) 29.44/4.21 % (31150)------------------------------ 29.44/4.21 % (31150)------------------------------ 29.44/4.22 % (31151)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3665:si=on:rtra=on_0 on Vampire---4 for (1761ds/3665Mi) 29.88/4.30 % (31082)Instruction limit reached! 29.88/4.30 % (31082)------------------------------ 29.88/4.30 % (31082)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 29.88/4.30 % (31082)Termination reason: Unknown 29.88/4.30 % (31082)Termination phase: Saturation 29.88/4.30 29.88/4.30 % (31082)Memory used [KB]: 20468 29.88/4.30 % (31082)Time elapsed: 2.636 s 29.88/4.30 % (31082)Instructions burned: 8250 (million) 29.88/4.30 % (31082)------------------------------ 29.88/4.30 % (31082)------------------------------ 29.88/4.30 % (31146)Instruction limit reached! 29.88/4.30 % (31146)------------------------------ 29.88/4.30 % (31146)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 29.88/4.30 % (31146)Termination reason: Unknown 29.88/4.30 % (31146)Termination phase: Saturation 29.88/4.30 29.88/4.30 % (31146)Memory used [KB]: 7931 29.88/4.30 % (31146)Time elapsed: 0.395 s 29.88/4.30 % (31146)Instructions burned: 1323 (million) 29.88/4.30 % (31146)------------------------------ 29.88/4.30 % (31146)------------------------------ 29.88/4.30 % (31152)lrs+1010_1:1_cbe=off:chr=on:er=known:hud=4:i=147:si=on:rtra=on_0 on Vampire---4 for (1761ds/147Mi) 29.88/4.31 % (31153)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on Vampire---4 for (1761ds/3710Mi) 30.56/4.34 % (31152)Instruction limit reached! 30.56/4.34 % (31152)------------------------------ 30.56/4.34 % (31152)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 30.56/4.34 % (31152)Termination reason: Unknown 30.56/4.34 % (31152)Termination phase: Saturation 30.56/4.34 30.56/4.34 % (31152)Memory used [KB]: 6780 30.56/4.34 % (31152)Time elapsed: 0.038 s 30.56/4.34 % (31152)Instructions burned: 147 (million) 30.56/4.34 % (31152)------------------------------ 30.56/4.34 % (31152)------------------------------ 30.56/4.35 % (31154)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=9872:si=on:rtra=on_0 on Vampire---4 for (1760ds/9872Mi) 31.86/4.39 % (31134)Instruction limit reached! 31.86/4.39 % (31134)------------------------------ 31.86/4.39 % (31134)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 31.86/4.39 % (31134)Termination reason: Unknown 31.86/4.39 % (31134)Termination phase: Saturation 31.86/4.39 31.86/4.39 % (31134)Memory used [KB]: 12537 31.86/4.39 % (31134)Time elapsed: 1.002 s 31.86/4.39 % (31134)Instructions burned: 3174 (million) 31.86/4.39 % (31134)------------------------------ 31.86/4.39 % (31134)------------------------------ 31.86/4.40 % (31155)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on Vampire---4 for (1760ds/644Mi) 33.08/4.56 % (31155)Instruction limit reached! 33.08/4.56 % (31155)------------------------------ 33.08/4.56 % (31155)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 33.08/4.56 % (31155)Termination reason: Unknown 33.08/4.56 % (31155)Termination phase: Saturation 33.08/4.56 33.08/4.56 % (31155)Memory used [KB]: 9466 33.08/4.56 % (31155)Time elapsed: 0.164 s 33.08/4.56 % (31155)Instructions burned: 645 (million) 33.08/4.56 % (31155)------------------------------ 33.08/4.56 % (31155)------------------------------ 33.08/4.57 % (31156)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on Vampire---4 for (1758ds/307Mi) 33.08/4.60 % (31137)Instruction limit reached! 33.08/4.60 % (31137)------------------------------ 33.08/4.60 % (31137)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 33.08/4.60 % (31137)Termination reason: Unknown 33.08/4.60 % (31137)Termination phase: Saturation 33.08/4.60 33.08/4.60 % (31137)Memory used [KB]: 12153 33.08/4.60 % (31137)Time elapsed: 1.143 s 33.08/4.60 % (31137)Instructions burned: 3672 (million) 33.08/4.60 % (31137)------------------------------ 33.08/4.60 % (31137)------------------------------ 33.08/4.61 % (31157)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on Vampire---4 for (1758ds/831Mi) 33.74/4.65 % (31156)Instruction limit reached! 33.74/4.65 % (31156)------------------------------ 33.74/4.65 % (31156)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 33.74/4.65 % (31156)Termination reason: Unknown 33.74/4.65 % (31156)Termination phase: Saturation 33.74/4.65 33.74/4.65 % (31156)Memory used [KB]: 7291 33.74/4.65 % (31156)Time elapsed: 0.110 s 33.74/4.65 % (31156)Instructions burned: 309 (million) 33.74/4.65 % (31156)------------------------------ 33.74/4.65 % (31156)------------------------------ 33.74/4.66 % (31158)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on Vampire---4 for (1757ds/474Mi) 34.78/4.78 % (31147)Instruction limit reached! 34.78/4.78 % (31147)------------------------------ 34.78/4.78 % (31147)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 34.78/4.78 % (31147)Termination reason: Unknown 34.78/4.78 % (31147)Termination phase: Saturation 34.78/4.78 34.78/4.78 % (31147)Memory used [KB]: 11257 34.78/4.78 % (31147)Time elapsed: 0.882 s 34.78/4.78 % (31147)Instructions burned: 2813 (million) 34.78/4.78 % (31147)------------------------------ 34.78/4.78 % (31147)------------------------------ 34.78/4.79 % (31159)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on Vampire---4 for (1756ds/1174Mi) 34.78/4.80 % (31158)Instruction limit reached! 34.78/4.80 % (31158)------------------------------ 34.78/4.80 % (31158)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 34.78/4.80 % (31158)Termination reason: Unknown 34.78/4.80 % (31158)Termination phase: Saturation 34.78/4.80 34.78/4.80 % (31158)Memory used [KB]: 7164 34.78/4.80 % (31158)Time elapsed: 0.162 s 34.78/4.80 % (31158)Instructions burned: 474 (million) 34.78/4.80 % (31158)------------------------------ 34.78/4.80 % (31158)------------------------------ 34.78/4.81 % (31160)lrs+1010_1:4_amm=sco:awrs=converge:bd=off:nwc=5.0:sd=3:sgt=15:ss=axioms:st=2.0:i=2077:si=on:rtra=on_0 on Vampire---4 for (1755ds/2077Mi) 35.29/4.86 % (31157)Instruction limit reached! 35.29/4.86 % (31157)------------------------------ 35.29/4.86 % (31157)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 35.29/4.86 % (31157)Termination reason: Unknown 35.29/4.86 % (31157)Termination phase: Saturation 35.29/4.86 35.29/4.86 % (31157)Memory used [KB]: 7675 35.29/4.86 % (31157)Time elapsed: 0.279 s 35.29/4.86 % (31157)Instructions burned: 833 (million) 35.29/4.86 % (31157)------------------------------ 35.29/4.86 % (31157)------------------------------ 35.29/4.87 % (31161)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=5271:si=on:rtra=on_0 on Vampire---4 for (1755ds/5271Mi) 36.63/4.99 % (31136)Instruction limit reached! 36.63/4.99 % (31136)------------------------------ 36.63/4.99 % (31136)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 36.63/4.99 % (31136)Termination reason: Unknown 36.63/4.99 % (31136)Termination phase: Saturation 36.63/4.99 36.63/4.99 % (31136)Memory used [KB]: 24434 36.63/4.99 % (31136)Time elapsed: 1.561 s 36.63/4.99 % (31136)Instructions burned: 5046 (million) 36.63/4.99 % (31136)------------------------------ 36.63/4.99 % (31136)------------------------------ 36.63/5.00 % (31162)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on Vampire---4 for (1754ds/346Mi) 37.35/5.09 % (31162)Instruction limit reached! 37.35/5.09 % (31162)------------------------------ 37.35/5.09 % (31162)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 37.35/5.09 % (31162)Termination reason: Unknown 37.35/5.09 % (31162)Termination phase: Saturation 37.35/5.09 37.35/5.09 % (31162)Memory used [KB]: 6908 37.35/5.09 % (31162)Time elapsed: 0.116 s 37.35/5.09 % (31162)Instructions burned: 346 (million) 37.35/5.09 % (31162)------------------------------ 37.35/5.09 % (31162)------------------------------ 37.35/5.10 % (31163)lrs+1666_1:1_au=on:s2a=on:sd=2:ss=axioms:st=5.0:i=1400:si=on:rtra=on_0 on Vampire---4 for (1752ds/1400Mi) 37.35/5.11 % (31151)First to succeed. 37.73/5.14 % (31151)Refutation found. Thanks to Tanya! 37.73/5.14 % SZS status Theorem for Vampire---4 37.73/5.14 % SZS output start Proof for Vampire---4 37.73/5.14 thf(type_def_5, type, term: $tType). 37.73/5.14 thf(type_def_7, type, subst: $tType). 37.73/5.14 thf(func_def_0, type, term: $tType). 37.73/5.14 thf(func_def_1, type, subst: $tType). 37.73/5.14 thf(func_def_2, type, one: term). 37.73/5.14 thf(func_def_3, type, ap: term > term > term). 37.73/5.14 thf(func_def_4, type, lam: term > term). 37.73/5.14 thf(func_def_5, type, sub: term > subst > term). 37.73/5.14 thf(func_def_6, type, id: subst). 37.73/5.14 thf(func_def_7, type, sh: subst). 37.73/5.14 thf(func_def_8, type, push: term > subst > subst). 37.73/5.14 thf(func_def_9, type, comp: subst > subst > subst). 37.73/5.14 thf(func_def_10, type, var: term > $o). 37.73/5.14 thf(func_def_18, type, hoasap: subst > term > subst > term > term). 37.73/5.14 thf(func_def_73, type, hoaslam: subst > (subst > term > term) > term). 37.73/5.14 thf(func_def_86, type, hoasinduction_p_and_p_prime: (subst > term > subst > $o) > (term > $o) > $o). 37.73/5.14 thf(func_def_107, type, hoasvar: subst > term > subst > $o). 37.73/5.14 thf(func_def_121, type, pushprop_p_and_p_prime: term > subst > (term > $o) > (term > $o) > $o). 37.73/5.14 thf(func_def_142, type, ph1: !>[X0: $tType]:(X0)). 37.73/5.14 thf(func_def_143, type, sK2: term > $o). 37.73/5.14 thf(func_def_144, type, sK3: term). 37.73/5.14 thf(func_def_145, type, sK4: term). 37.73/5.14 thf(f9259,plain,( 37.73/5.14 $false), 37.73/5.14 inference(avatar_sat_refutation,[],[f7952,f7987,f9256])). 37.73/5.14 thf(f9256,plain,( 37.73/5.14 ~spl0_20), 37.73/5.14 inference(avatar_contradiction_clause,[],[f9255])). 37.73/5.14 thf(f9255,plain,( 37.73/5.14 $false | ~spl0_20), 37.73/5.14 inference(trivial_inequality_removal,[],[f9251])). 37.73/5.14 thf(f9251,plain,( 37.73/5.14 ($false = $true) | ~spl0_20), 37.73/5.14 inference(superposition,[],[f9247,f1997])). 37.73/5.14 thf(f1997,plain,( 37.73/5.14 ( ! [X1 : term] : (($true = ((var @ X1) => (sK2 @ X1)))) )), 37.73/5.14 inference(beta_eta_normalization,[],[f1992])). 37.73/5.14 thf(f1992,plain,( 37.73/5.14 ( ! [X1 : term] : ((((^[Y0 : term]: ((var @ Y0) => (sK2 @ Y0))) @ X1) = $true)) )), 37.73/5.14 inference(pi_clausification,[],[f1990])). 37.73/5.14 thf(f1990,plain,( 37.73/5.14 ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (sK2 @ Y0)))) = $true)), 37.73/5.14 inference(binary_proxy_clausification,[],[f1941])). 37.73/5.14 thf(f1941,plain,( 37.73/5.14 ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (sK2 @ Y0)))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((sK2 @ Y0) => ((sK2 @ Y1) => (sK2 @ (ap @ Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((sK2 @ Y1) => (sK2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (sK2 @ (lam @ Y0))))) => (!! @ term @ sK2)))))), 37.73/5.14 inference(beta_eta_normalization,[],[f1939])). 37.73/5.14 thf(f1939,plain,( 37.73/5.14 ($false = ((^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))) @ sK2))), 37.73/5.14 inference(sigma_clausification,[],[f1714])). 37.73/5.14 thf(f1714,plain,( 37.73/5.14 ($false = (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))), 37.73/5.14 inference(binary_proxy_clausification,[],[f1712])). 37.73/5.14 thf(f1712,plain,( 37.73/5.14 ($false = ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))), 37.73/5.14 inference(boolean_simplification,[],[f1710])). 37.73/5.14 thf(f1710,plain,( 37.73/5.14 ($false = ($true => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))), 37.73/5.14 inference(backward_demodulation,[],[f1691,f1707])). 37.73/5.14 thf(f1707,plain,( 37.73/5.14 ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) = $true)), 37.73/5.14 inference(binary_proxy_clausification,[],[f1691])). 37.73/5.14 thf(f1691,plain,( 37.73/5.14 ($false = ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))), 37.73/5.14 inference(boolean_simplification,[],[f1688])). 37.73/5.14 thf(f1688,plain,( 37.73/5.14 ($false = ($true => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))), 37.73/5.14 inference(backward_demodulation,[],[f1492,f1505])). 37.73/5.14 thf(f1505,plain,( 37.73/5.14 ($true = (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))), 37.73/5.14 inference(binary_proxy_clausification,[],[f1492])). 37.73/5.14 thf(f1492,plain,( 37.73/5.14 ($false = ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))), 37.73/5.14 inference(boolean_simplification,[],[f1490])). 37.73/5.14 thf(f1490,plain,( 37.73/5.14 ($false = ($true => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))), 37.73/5.14 inference(backward_demodulation,[],[f1481,f1486])). 37.73/5.14 thf(f1486,plain,( 37.73/5.14 ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) = $true)), 37.73/5.14 inference(binary_proxy_clausification,[],[f1481])). 37.73/5.14 thf(f1481,plain,( 37.73/5.14 ($false = ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))), 37.73/5.14 inference(boolean_simplification,[],[f1479])). 37.73/5.14 thf(f1479,plain,( 37.73/5.14 ($false = ($true => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))), 37.73/5.14 inference(backward_demodulation,[],[f1383,f1476])). 37.73/5.14 thf(f1476,plain,( 37.73/5.14 ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) = $true)), 37.73/5.14 inference(binary_proxy_clausification,[],[f1383])). 37.73/5.14 thf(f1383,plain,( 37.73/5.14 ($false = ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))), 37.73/5.14 inference(boolean_simplification,[],[f1380])). 37.73/5.14 thf(f1380,plain,( 37.73/5.14 ($false = ($true => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))), 37.73/5.14 inference(backward_demodulation,[],[f1374,f1378])). 37.73/5.14 thf(f1378,plain,( 37.73/5.14 ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) = $true)), 37.73/5.14 inference(binary_proxy_clausification,[],[f1374])). 37.73/5.14 thf(f1374,plain,( 37.73/5.14 ($false = ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))), 37.73/5.14 inference(boolean_simplification,[],[f1372])). 37.73/5.14 thf(f1372,plain,( 37.73/5.14 ($false = ($true => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))), 37.73/5.14 inference(backward_demodulation,[],[f1326,f1349])). 37.73/5.14 thf(f1349,plain,( 37.73/5.14 ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) = $true)), 37.73/5.14 inference(binary_proxy_clausification,[],[f1326])). 37.73/5.14 thf(f1326,plain,( 37.73/5.14 ($false = ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))), 37.73/5.14 inference(boolean_simplification,[],[f1324])). 37.73/5.14 thf(f1324,plain,( 37.73/5.14 ($false = ($true => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))))), 37.73/5.14 inference(backward_demodulation,[],[f1283,f1306])). 37.73/5.14 thf(f1306,plain,( 37.73/5.14 ($true = (!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))))), 37.73/5.14 inference(binary_proxy_clausification,[],[f1283])). 37.73/5.14 thf(f1283,plain,( 37.73/5.14 (((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))) = $false)), 37.73/5.14 inference(boolean_simplification,[],[f1281])). 37.73/5.14 thf(f1281,plain,( 37.73/5.14 ($false = ($true => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))))), 37.73/5.14 inference(backward_demodulation,[],[f1120,f1125])). 37.73/5.14 thf(f1125,plain,( 37.73/5.14 ($true = (!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))))), 37.73/5.14 inference(binary_proxy_clausification,[],[f1120])). 37.73/5.14 thf(f1120,plain,( 37.73/5.14 ($false = ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))))), 37.73/5.14 inference(boolean_simplification,[],[f1118])). 37.73/5.14 thf(f1118,plain,( 37.73/5.14 ($false = ($true => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))))))), 37.73/5.14 inference(backward_demodulation,[],[f1095,f1106])). 37.73/5.14 thf(f1106,plain,( 37.73/5.14 ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) = $true)), 37.73/5.14 inference(binary_proxy_clausification,[],[f1095])). 37.73/5.14 thf(f1095,plain,( 37.73/5.14 ($false = ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))))))), 37.73/5.14 inference(boolean_simplification,[],[f1092])). 37.73/5.14 thf(f1092,plain,( 37.73/5.14 (($true => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))))) = $false)), 37.73/5.14 inference(backward_demodulation,[],[f942,f961])). 37.73/5.14 thf(f961,plain,( 37.73/5.14 ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) = $true)), 37.73/5.14 inference(binary_proxy_clausification,[],[f942])). 37.73/5.14 thf(f942,plain,( 37.73/5.14 ($false = ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))))))), 37.73/5.14 inference(boolean_simplification,[],[f940])). 37.73/5.14 thf(f940,plain,( 37.73/5.14 ($false = ($true => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))))))))), 37.73/5.14 inference(backward_demodulation,[],[f920,f922])). 37.73/5.14 thf(f922,plain,( 37.73/5.14 ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) = $true)), 37.73/5.14 inference(binary_proxy_clausification,[],[f920])). 37.73/5.14 thf(f920,plain,( 37.73/5.14 ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))))))))), 37.73/5.14 inference(boolean_simplification,[],[f919])). 37.73/5.14 thf(f919,plain,( 37.73/5.14 ($false = ($true => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))))))))), 37.73/5.14 inference(backward_demodulation,[],[f896,f918])). 37.73/5.14 thf(f918,plain,( 37.73/5.14 ((var @ one) = $true)), 37.73/5.14 inference(binary_proxy_clausification,[],[f896])). 37.73/5.14 thf(f896,plain,( 37.73/5.14 ($false = ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))))))))), 37.87/5.14 inference(boolean_simplification,[],[f894])). 37.87/5.14 thf(f894,plain,( 37.87/5.14 ($false = ($true => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))))))))))), 37.87/5.14 inference(backward_demodulation,[],[f879,f881])). 37.87/5.14 thf(f881,plain,( 37.87/5.14 ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) = $true)), 37.87/5.14 inference(binary_proxy_clausification,[],[f879])). 37.87/5.14 thf(f879,plain,( 37.87/5.14 ($false = ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))))))))))), 37.87/5.14 inference(boolean_simplification,[],[f877])). 37.87/5.14 thf(f877,plain,( 37.87/5.14 ($false = ($true => ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))))))))))), 37.87/5.14 inference(backward_demodulation,[],[f860,f863])). 37.87/5.14 thf(f863,plain,( 37.87/5.14 ($true = (id = (push @ one @ sh)))), 37.87/5.14 inference(binary_proxy_clausification,[],[f860])). 37.87/5.14 thf(f860,plain,( 37.87/5.14 ($false = ((id = (push @ one @ sh)) => ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))))))))))), 37.87/5.14 inference(boolean_simplification,[],[f858])). 37.87/5.14 thf(f858,plain,( 37.87/5.14 ($false = ($true => ((id = (push @ one @ sh)) => ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))))))))))))), 37.87/5.14 inference(backward_demodulation,[],[f851,f857])). 37.87/5.14 thf(f857,plain,( 37.87/5.14 ((!! @ subst @ (^[Y0 : subst]: ((comp @ Y0 @ id) = Y0))) = $true)), 37.87/5.14 inference(binary_proxy_clausification,[],[f851])). 37.87/5.14 thf(f851,plain,( 37.87/5.14 ($false = ((!! @ subst @ (^[Y0 : subst]: ((comp @ Y0 @ id) = Y0))) => ((id = (push @ one @ sh)) => ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))))))))))))), 37.87/5.14 inference(boolean_simplification,[],[f849])). 37.87/5.14 thf(f849,plain,( 37.87/5.14 ($false = ($true => ((!! @ subst @ (^[Y0 : subst]: ((comp @ Y0 @ id) = Y0))) => ((id = (push @ one @ sh)) => ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))))))))))))), 37.87/5.14 inference(backward_demodulation,[],[f788,f815])). 37.87/5.14 thf(f815,plain,( 37.87/5.14 ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (push @ Y0 @ Y1) @ Y2) = (push @ (sub @ Y0 @ Y2) @ (comp @ Y1 @ Y2))))))))) = $true)), 37.87/5.14 inference(binary_proxy_clausification,[],[f788])). 37.87/5.14 thf(f788,plain,( 37.87/5.14 ($false = ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (push @ Y0 @ Y1) @ Y2) = (push @ (sub @ Y0 @ Y2) @ (comp @ Y1 @ Y2))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ Y0 @ id) = Y0))) => ((id = (push @ one @ sh)) => ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))))))))))))), 37.87/5.14 inference(boolean_simplification,[],[f786])). 37.87/5.14 thf(f786,plain,( 37.87/5.14 ($false = ($true => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (push @ Y0 @ Y1) @ Y2) = (push @ (sub @ Y0 @ Y2) @ (comp @ Y1 @ Y2))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ Y0 @ id) = Y0))) => ((id = (push @ one @ sh)) => ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))))))))))))))), 37.87/5.14 inference(backward_demodulation,[],[f661,f665])). 37.87/5.14 thf(f665,plain,( 37.87/5.14 ($true = (!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (comp @ Y0 @ Y1) @ Y2) = (comp @ Y0 @ (comp @ Y1 @ Y2))))))))))), 37.87/5.14 inference(binary_proxy_clausification,[],[f661])). 37.87/5.14 thf(f661,plain,( 37.87/5.14 ($false = ((!! 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@ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))))))))))))))), 37.87/5.14 inference(boolean_simplification,[],[f658])). 37.87/5.14 thf(f658,plain,( 37.87/5.14 ($false = ($true => ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (comp @ Y0 @ Y1) @ Y2) = (comp @ Y0 @ (comp @ Y1 @ Y2))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (push @ Y0 @ Y1) @ Y2) = (push @ (sub @ Y0 @ Y2) @ (comp @ Y1 @ Y2))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ Y0 @ id) = Y0))) => ((id = (push @ one @ sh)) => ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))))))))))))))), 37.87/5.14 inference(backward_demodulation,[],[f650,f653])). 37.87/5.14 thf(f653,plain,( 37.87/5.14 ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))) = $true)), 37.87/5.14 inference(binary_proxy_clausification,[],[f650])). 37.87/5.14 thf(f650,plain,( 37.87/5.14 ($false = ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (comp @ Y0 @ Y1) @ Y2) = (comp @ Y0 @ (comp @ Y1 @ Y2))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (push @ Y0 @ Y1) @ Y2) = (push @ (sub @ Y0 @ Y2) @ (comp @ Y1 @ Y2))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ Y0 @ id) = Y0))) => ((id = (push @ one @ sh)) => ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))))))))))))))), 37.87/5.14 inference(boolean_simplification,[],[f647])). 37.87/5.14 thf(f647,plain,( 37.87/5.14 ($false = ($true => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (comp @ Y0 @ Y1) @ Y2) = (comp @ Y0 @ (comp @ Y1 @ Y2))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (push @ Y0 @ Y1) @ Y2) = (push @ (sub @ Y0 @ Y2) @ (comp @ Y1 @ Y2))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ Y0 @ id) = Y0))) => ((id = (push @ one @ sh)) => ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))))))))))))))))), 37.87/5.14 inference(backward_demodulation,[],[f636,f644])). 37.87/5.14 thf(f644,plain,( 37.87/5.14 ((!! @ subst @ (^[Y0 : subst]: ((comp @ id @ Y0) = Y0))) = $true)), 37.87/5.14 inference(binary_proxy_clausification,[],[f636])). 37.87/5.14 thf(f636,plain,( 37.87/5.14 ($false = ((!! @ subst @ (^[Y0 : subst]: ((comp @ id @ Y0) = Y0))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (comp @ Y0 @ Y1) @ Y2) = (comp @ Y0 @ (comp @ Y1 @ Y2))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (push @ Y0 @ Y1) @ Y2) = (push @ (sub @ Y0 @ Y2) @ (comp @ Y1 @ Y2))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ Y0 @ id) = Y0))) => ((id = (push @ one @ sh)) => ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))))))))))))))))), 37.87/5.14 inference(boolean_simplification,[],[f634])). 37.87/5.14 thf(f634,plain,( 37.87/5.14 ($false = ($true => ((!! @ subst @ (^[Y0 : subst]: ((comp @ id @ Y0) = Y0))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (comp @ Y0 @ Y1) @ Y2) = (comp @ Y0 @ (comp @ Y1 @ Y2))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (push @ Y0 @ Y1) @ Y2) = (push @ (sub @ Y0 @ Y2) @ (comp @ Y1 @ Y2))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ Y0 @ id) = Y0))) => ((id = (push @ one @ sh)) => ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))))))))))))))))), 37.87/5.14 inference(backward_demodulation,[],[f592,f603])). 37.87/5.14 thf(f603,plain,( 37.87/5.14 ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((sub @ (sub @ Y1 @ Y2) @ Y0) = (sub @ Y1 @ (comp @ Y2 @ Y0))))))))) = $true)), 37.87/5.14 inference(binary_proxy_clausification,[],[f592])). 37.87/5.14 thf(f592,plain,( 37.87/5.14 ($false = ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((sub @ (sub @ Y1 @ Y2) @ Y0) = (sub @ Y1 @ (comp @ Y2 @ Y0))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ id @ Y0) = Y0))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (comp @ Y0 @ Y1) @ Y2) = (comp @ Y0 @ (comp @ Y1 @ Y2))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (push @ Y0 @ Y1) @ Y2) = (push @ (sub @ Y0 @ Y2) @ (comp @ Y1 @ Y2))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ Y0 @ id) = Y0))) => ((id = (push @ one @ sh)) => ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))))))))))))))))), 37.87/5.14 inference(boolean_simplification,[],[f590])). 37.87/5.14 thf(f590,plain,( 37.87/5.14 ($false = ($true => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((sub @ (sub @ Y1 @ Y2) @ Y0) = (sub @ Y1 @ (comp @ Y2 @ Y0))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ id @ Y0) = Y0))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (comp @ Y0 @ Y1) @ Y2) = (comp @ Y0 @ (comp @ Y1 @ Y2))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (push @ Y0 @ Y1) @ Y2) = (push @ (sub @ Y0 @ Y2) @ (comp @ Y1 @ Y2))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ Y0 @ id) = Y0))) => ((id = (push @ one @ sh)) => ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! 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@ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))))))))))))))))))), 37.87/5.14 inference(backward_demodulation,[],[f549,f552])). 37.87/5.14 thf(f552,plain,( 37.87/5.14 ($true = (!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (lam @ Y1) @ Y0) = (lam @ (sub @ Y1 @ (push @ one @ (comp @ Y0 @ sh))))))))))), 37.87/5.14 inference(binary_proxy_clausification,[],[f549])). 37.87/5.14 thf(f549,plain,( 37.87/5.14 ($false = ((!! 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@ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))))))))))))))))))), 37.87/5.14 inference(boolean_simplification,[],[f547])). 37.87/5.14 thf(f547,plain,( 37.87/5.14 ($false = ($true => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (lam @ Y1) @ Y0) = (lam @ (sub @ Y1 @ (push @ one @ (comp @ Y0 @ sh))))))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((sub @ (sub @ Y1 @ Y2) @ Y0) = (sub @ Y1 @ (comp @ Y2 @ Y0))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ id @ Y0) = Y0))) => ((!! 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@ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))))))))))))))))))), 37.87/5.14 inference(backward_demodulation,[],[f544,f546])). 37.87/5.14 thf(f546,plain,( 37.87/5.14 ((!! @ term @ (^[Y0 : term]: ((sub @ Y0 @ id) = Y0))) = $true)), 37.87/5.14 inference(binary_proxy_clausification,[],[f544])). 37.87/5.14 thf(f544,plain,( 37.87/5.14 ($false = ((!! @ term @ (^[Y0 : term]: ((sub @ Y0 @ id) = Y0))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (lam @ Y1) @ Y0) = (lam @ (sub @ Y1 @ (push @ one @ (comp @ Y0 @ sh))))))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((sub @ (sub @ Y1 @ Y2) @ Y0) = (sub @ Y1 @ (comp @ Y2 @ Y0))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ id @ Y0) = Y0))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! 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@ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))))))))))))))))))), 37.87/5.14 inference(boolean_simplification,[],[f541])). 37.87/5.14 thf(f541,plain,( 37.87/5.14 ($false = ($true => ((!! 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@ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))))))))))))))))))))), 37.87/5.14 inference(backward_demodulation,[],[f536,f540])). 37.87/5.14 thf(f540,plain,( 37.87/5.14 ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))) = $true)), 37.87/5.14 inference(binary_proxy_clausification,[],[f536])). 37.87/5.14 thf(f536,plain,( 37.87/5.14 ($false = ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))) => ((!! @ term @ (^[Y0 : term]: ((sub @ Y0 @ id) = Y0))) => ((!! 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@ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))))))))))))))))))))), 37.87/5.14 inference(boolean_simplification,[],[f533])). 37.87/5.14 thf(f533,plain,( 37.87/5.14 ($false = ($true => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))) => ((!! @ term @ (^[Y0 : term]: ((sub @ Y0 @ id) = Y0))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (lam @ Y1) @ Y0) = (lam @ (sub @ Y1 @ (push @ one @ (comp @ Y0 @ sh))))))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((sub @ (sub @ Y1 @ Y2) @ Y0) = (sub @ Y1 @ (comp @ Y2 @ Y0))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ id @ Y0) = Y0))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (comp @ Y0 @ Y1) @ Y2) = (comp @ Y0 @ (comp @ Y1 @ Y2))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (push @ Y0 @ Y1) @ Y2) = (push @ (sub @ Y0 @ Y2) @ (comp @ Y1 @ Y2))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ Y0 @ id) = Y0))) => ((id = (push @ one @ sh)) => ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))))))))))))))))))))), 37.87/5.14 inference(backward_demodulation,[],[f528,f531])). 37.87/5.14 thf(f531,plain,( 37.87/5.14 ($true = (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((ap @ (sub @ Y2 @ Y1) @ (sub @ Y0 @ Y1)) = (sub @ (ap @ Y2 @ Y0) @ Y1)))))))))), 37.87/5.14 inference(binary_proxy_clausification,[],[f528])). 37.87/5.14 thf(f528,plain,( 37.87/5.14 ($false = ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((ap @ (sub @ Y2 @ Y1) @ (sub @ Y0 @ Y1)) = (sub @ (ap @ Y2 @ Y0) @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))) => ((!! @ term @ (^[Y0 : term]: ((sub @ Y0 @ id) = Y0))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (lam @ Y1) @ Y0) = (lam @ (sub @ Y1 @ (push @ one @ (comp @ Y0 @ sh))))))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((sub @ (sub @ Y1 @ Y2) @ Y0) = (sub @ Y1 @ (comp @ Y2 @ Y0))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ id @ Y0) = Y0))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (comp @ Y0 @ Y1) @ Y2) = (comp @ Y0 @ (comp @ Y1 @ Y2))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (push @ Y0 @ Y1) @ Y2) = (push @ (sub @ Y0 @ Y2) @ (comp @ Y1 @ Y2))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ Y0 @ id) = Y0))) => ((id = (push @ one @ sh)) => ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))))))))))))))))))))))))))), 37.87/5.14 inference(not_proxy_clausification,[],[f527])). 37.87/5.14 thf(f527,plain,( 37.87/5.14 ((~ ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((ap @ (sub @ Y2 @ Y1) @ (sub @ Y0 @ Y1)) = (sub @ (ap @ Y2 @ Y0) @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))) => ((!! @ term @ (^[Y0 : term]: ((sub @ Y0 @ id) = Y0))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (lam @ Y1) @ Y0) = (lam @ (sub @ Y1 @ (push @ one @ (comp @ Y0 @ sh))))))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((sub @ (sub @ Y1 @ Y2) @ Y0) = (sub @ Y1 @ (comp @ Y2 @ Y0))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ id @ Y0) = Y0))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (comp @ Y0 @ Y1) @ Y2) = (comp @ Y0 @ (comp @ Y1 @ Y2))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (push @ Y0 @ Y1) @ Y2) = (push @ (sub @ Y0 @ Y2) @ (comp @ Y1 @ Y2))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ Y0 @ id) = Y0))) => ((id = (push @ one @ sh)) => ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0)))))))))))))))))))))))))))))))) = $true)), 37.87/5.14 inference(beta_eta_normalization,[],[f526])). 37.87/5.14 thf(f526,plain,( 37.87/5.14 ((~ ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((ap @ (sub @ Y2 @ Y1) @ (sub @ Y0 @ Y1)) = (sub @ (ap @ Y2 @ Y0) @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))) => ((!! @ term @ (^[Y0 : term]: ((sub @ Y0 @ id) = Y0))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (lam @ Y1) @ Y0) = (lam @ (sub @ Y1 @ (push @ one @ (comp @ Y0 @ sh))))))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((sub @ (sub @ Y1 @ Y2) @ Y0) = (sub @ Y1 @ (comp @ Y2 @ Y0))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ id @ Y0) = Y0))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (comp @ Y0 @ Y1) @ Y2) = (comp @ Y0 @ (comp @ Y1 @ Y2))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (push @ Y0 @ Y1) @ Y2) = (push @ (sub @ Y0 @ Y2) @ (comp @ Y1 @ Y2))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ Y0 @ id) = Y0))) => ((id = (push @ one @ sh)) => ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (Y0 @ Y1)))))))))))))))))))))))))))))))))) = $true)), 37.87/5.14 inference(definition_unfolding,[],[f413,f517])). 37.87/5.14 thf(f517,plain,( 37.87/5.14 (induction2_gthm = ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((ap @ (sub @ Y2 @ Y1) @ (sub @ Y0 @ Y1)) = (sub @ (ap @ Y2 @ Y0) @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))) => ((!! @ term @ (^[Y0 : term]: ((sub @ Y0 @ id) = Y0))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (lam @ Y1) @ Y0) = (lam @ (sub @ Y1 @ (push @ one @ (comp @ Y0 @ sh))))))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((sub @ (sub @ Y1 @ Y2) @ Y0) = (sub @ Y1 @ (comp @ Y2 @ Y0))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ id @ Y0) = Y0))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (comp @ Y0 @ Y1) @ Y2) = (comp @ Y0 @ (comp @ Y1 @ Y2))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (push @ Y0 @ Y1) @ Y2) = (push @ (sub @ Y0 @ Y2) @ (comp @ Y1 @ Y2))))))))) => ((!! @ subst @ (^[Y0 : subst]: ((comp @ Y0 @ id) = Y0))) => ((id = (push @ one @ sh)) => ((!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))) => ((var @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))) => ((!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))) => ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (Y0 @ Y1))))))))))))))))))))))))))))))))))), 37.87/5.14 inference(definition_unfolding,[],[f428,f373,f358,f355,f378,f364,f410,f436,f444,f422,f346,f443,f405,f388,f344,f419,f360,f352,f427,f409,f395,f403,f442,f435,f387,f412,f401])). 37.87/5.14 thf(f401,plain,( 37.87/5.14 (induction2 = (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (Y0 @ Y1)))))))))), 37.87/5.14 inference(cnf_transformation,[],[f239])). 37.87/5.14 thf(f239,plain,( 37.87/5.14 (induction2 = (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (Y0 @ Y1)))))))))), 37.87/5.14 inference(fool_elimination,[],[f238])). 37.87/5.14 thf(f238,plain,( 37.87/5.14 (induction2 = ! [X0 : term > $o] : (! [X1 : term] : ((var @ X1) => (X0 @ X1)) => (! [X2 : term,X3 : term] : ((X0 @ X3) => ((X0 @ X2) => (X0 @ (ap @ X3 @ X2)))) => (! [X4 : term] : (! [X5 : term] : ((X0 @ X5) => (X0 @ (sub @ X4 @ (push @ X5 @ id)))) => (X0 @ (lam @ X4))) => ! [X6 : term] : (X0 @ X6)))))), 37.87/5.14 inference(rectify,[],[f46])). 37.87/5.14 thf(f46,axiom,( 37.87/5.14 (induction2 = ! [X5 : term > $o] : (! [X0 : term] : ((var @ X0) => (X5 @ X0)) => (! [X1 : term,X0 : term] : ((X5 @ X0) => ((X5 @ X1) => (X5 @ (ap @ X0 @ X1)))) => (! [X0 : term] : (! [X1 : term] : ((X5 @ X1) => (X5 @ (sub @ X0 @ (push @ X1 @ id)))) => (X5 @ (lam @ X0))) => ! [X0 : term] : (X5 @ X0)))))), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',induction2)). 37.87/5.14 thf(f412,plain,( 37.87/5.14 (induction2lem = (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))))), 37.87/5.14 inference(cnf_transformation,[],[f291])). 37.87/5.14 thf(f291,plain,( 37.87/5.14 (induction2lem = (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))))), 37.87/5.14 inference(fool_elimination,[],[f290])). 37.87/5.14 thf(f290,plain,( 37.87/5.14 (! [X0 : term > $o] : (! [X1 : term,X2 : term] : ((X0 @ X2) => ((X0 @ X1) => (X0 @ (ap @ X2 @ X1)))) => (! [X3 : term] : (! [X4 : term] : ((X0 @ X4) => (X0 @ (sub @ X3 @ (push @ X4 @ id)))) => (X0 @ (lam @ X3))) => ! [X5 : subst,X6 : term] : (! [X7 : term] : ((var @ X7) => (X0 @ (sub @ X7 @ X5))) => (X0 @ (sub @ X6 @ X5))))) = induction2lem)), 37.87/5.14 inference(rectify,[],[f43])). 37.87/5.14 thf(f43,axiom,( 37.87/5.14 (! [X5 : term > $o] : (! [X1 : term,X0 : term] : ((X5 @ X0) => ((X5 @ X1) => (X5 @ (ap @ X0 @ X1)))) => (! [X0 : term] : (! [X1 : term] : ((X5 @ X1) => (X5 @ (sub @ X0 @ (push @ X1 @ id)))) => (X5 @ (lam @ X0))) => ! [X2 : subst,X0 : term] : (! [X1 : term] : ((var @ X1) => (X5 @ (sub @ X1 @ X2))) => (X5 @ (sub @ X0 @ X2))))) = induction2lem)), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',induction2lem)). 37.87/5.14 thf(f387,plain,( 37.87/5.14 (pushprop = (!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))))), 37.87/5.14 inference(cnf_transformation,[],[f272])). 37.87/5.14 thf(f272,plain,( 37.87/5.14 (pushprop = (!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2)))))))))))))))), 37.87/5.14 inference(fool_elimination,[],[f271])). 37.87/5.14 thf(f271,plain,( 37.87/5.14 (pushprop = ! [X0 : subst,X1 : term > $o,X2 : term] : (! [X3 : term] : ((var @ X3) => (X1 @ (sub @ X3 @ X0))) => ((X1 @ X2) => ! [X4 : term] : ((var @ X4) => (X1 @ (sub @ X4 @ (push @ X2 @ X0)))))))), 37.87/5.14 inference(rectify,[],[f39])). 37.87/5.14 thf(f39,axiom,( 37.87/5.14 (pushprop = ! [X2 : subst,X5 : term > $o,X0 : term] : (! [X1 : term] : ((var @ X1) => (X5 @ (sub @ X1 @ X2))) => ((X5 @ X0) => ! [X1 : term] : ((var @ X1) => (X5 @ (sub @ X1 @ (push @ X0 @ X2)))))))), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',pushprop)). 37.87/5.14 thf(f435,plain,( 37.87/5.14 (induction = (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (Y0 @ Y1)))))))))), 37.87/5.14 inference(cnf_transformation,[],[f149])). 37.87/5.14 thf(f149,plain,( 37.87/5.14 (induction = (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (Y0 @ Y1)))))))))), 37.87/5.14 inference(fool_elimination,[],[f148])). 37.87/5.14 thf(f148,plain,( 37.87/5.14 (induction = ! [X0 : term > $o] : (! [X1 : term] : ((var @ X1) => (X0 @ X1)) => (! [X2 : term,X3 : term] : ((X0 @ X2) => ((X0 @ X3) => (X0 @ (ap @ X2 @ X3)))) => (! [X4 : term] : ((X0 @ X4) => (X0 @ (lam @ X4))) => ! [X5 : term] : (X0 @ X5)))))), 37.87/5.14 inference(rectify,[],[f23])). 37.87/5.14 thf(f23,axiom,( 37.87/5.14 (induction = ! [X5 : term > $o] : (! [X0 : term] : ((var @ X0) => (X5 @ X0)) => (! [X0 : term,X1 : term] : ((X5 @ X0) => ((X5 @ X1) => (X5 @ (ap @ X0 @ X1)))) => (! [X0 : term] : ((X5 @ X0) => (X5 @ (lam @ X0))) => ! [X0 : term] : (X5 @ X0)))))), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',induction)). 37.87/5.14 thf(f442,plain,( 37.87/5.14 (lamnotvar = (!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))))), 37.87/5.14 inference(cnf_transformation,[],[f259])). 37.87/5.14 thf(f259,plain,( 37.87/5.14 (lamnotvar = (!! @ term @ (^[Y0 : term]: (~ (var @ (lam @ Y0))))))), 37.87/5.14 inference(fool_elimination,[],[f258])). 37.87/5.14 thf(f258,plain,( 37.87/5.14 (lamnotvar = ! [X0 : term] : ~(var @ (lam @ X0)))), 37.87/5.14 inference(rectify,[],[f22])). 37.87/5.14 thf(f22,axiom,( 37.87/5.14 (lamnotvar = ! [X0 : term] : ~(var @ (lam @ X0)))), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',lamnotvar)). 37.87/5.14 thf(f403,plain,( 37.87/5.14 (apnotvar = (!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))))), 37.87/5.14 inference(cnf_transformation,[],[f264])). 37.87/5.14 thf(f264,plain,( 37.87/5.14 (apnotvar = (!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (~ (var @ (ap @ Y1 @ Y0))))))))), 37.87/5.14 inference(fool_elimination,[],[f263])). 37.87/5.14 thf(f263,plain,( 37.87/5.14 (apnotvar = ! [X0 : term,X1 : term] : ~(var @ (ap @ X0 @ X1)))), 37.87/5.14 inference(rectify,[],[f21])). 37.87/5.14 thf(f21,axiom,( 37.87/5.14 (apnotvar = ! [X0 : term,X1 : term] : ~(var @ (ap @ X0 @ X1)))), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',apnotvar)). 37.87/5.14 thf(f395,plain,( 37.87/5.14 (lamnotap = (!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))))), 37.87/5.14 inference(cnf_transformation,[],[f280])). 37.87/5.14 thf(f280,plain,( 37.87/5.14 (lamnotap = (!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (~ ((lam @ Y2) = (ap @ Y1 @ Y0))))))))))), 37.87/5.14 inference(fool_elimination,[],[f279])). 37.87/5.14 thf(f279,plain,( 37.87/5.14 (! [X0 : term,X1 : term,X2 : term] : ((lam @ X0) != (ap @ X1 @ X2)) = lamnotap)), 37.87/5.14 inference(rectify,[],[f20])). 37.87/5.14 thf(f20,axiom,( 37.87/5.14 (! [X0 : term,X1 : term,X6 : term] : ((lam @ X0) != (ap @ X1 @ X6)) = lamnotap)), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',lamnotap)). 37.87/5.14 thf(f409,plain,( 37.87/5.14 (shinj = (!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))))), 37.87/5.14 inference(cnf_transformation,[],[f328])). 37.87/5.14 thf(f328,plain,( 37.87/5.14 (shinj = (!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((sub @ Y1 @ sh) = (sub @ Y0 @ sh)) => (Y1 = Y0)))))))), 37.87/5.14 inference(fool_elimination,[],[f19])). 37.87/5.14 thf(f19,axiom,( 37.87/5.14 (! [X0 : term,X1 : term] : (((sub @ X0 @ sh) = (sub @ X1 @ sh)) => (X0 = X1)) = shinj)), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',shinj)). 37.87/5.14 thf(f427,plain,( 37.87/5.14 (laminj = (!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))))), 37.87/5.14 inference(cnf_transformation,[],[f315])). 37.87/5.14 thf(f315,plain,( 37.87/5.14 (laminj = (!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))))), 37.87/5.14 inference(fool_elimination,[],[f18])). 37.87/5.14 thf(f18,axiom,( 37.87/5.14 (! [X0 : term,X1 : term] : (((lam @ X0) = (lam @ X1)) => (X0 = X1)) = laminj)), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',laminj)). 37.87/5.14 thf(f352,plain,( 37.87/5.14 (apinj2 = (!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))))), 37.87/5.14 inference(cnf_transformation,[],[f159])). 37.87/5.14 thf(f159,plain,( 37.87/5.14 (apinj2 = (!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y3 = Y2)))))))))))), 37.87/5.14 inference(fool_elimination,[],[f158])). 37.87/5.14 thf(f158,plain,( 37.87/5.14 (apinj2 = ! [X0 : term,X1 : term,X2 : term,X3 : term] : (((ap @ X3 @ X1) = (ap @ X2 @ X0)) => (X0 = X1)))), 37.87/5.14 inference(rectify,[],[f17])). 37.87/5.14 thf(f17,axiom,( 37.87/5.14 (apinj2 = ! [X6 : term,X7 : term,X0 : term,X1 : term] : (((ap @ X0 @ X6) = (ap @ X1 @ X7)) => (X6 = X7)))), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',apinj2)). 37.87/5.14 thf(f360,plain,( 37.87/5.14 (apinj1 = (!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))))), 37.87/5.14 inference(cnf_transformation,[],[f184])). 37.87/5.14 thf(f184,plain,( 37.87/5.14 (apinj1 = (!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: (!! @ term @ (^[Y3 : term]: (((ap @ Y0 @ Y2) = (ap @ Y1 @ Y3)) => (Y1 = Y0)))))))))))), 37.87/5.14 inference(fool_elimination,[],[f183])). 37.87/5.14 thf(f183,plain,( 37.87/5.14 (apinj1 = ! [X0 : term,X1 : term,X2 : term,X3 : term] : (((ap @ X3 @ X1) = (ap @ X2 @ X0)) => (X2 = X3)))), 37.87/5.14 inference(rectify,[],[f16])). 37.87/5.14 thf(f16,axiom,( 37.87/5.14 (apinj1 = ! [X6 : term,X7 : term,X0 : term,X1 : term] : (((ap @ X0 @ X6) = (ap @ X1 @ X7)) => (X0 = X1)))), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',apinj1)). 37.87/5.14 thf(f419,plain,( 37.87/5.14 (ulamvarind = (!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))))), 37.87/5.14 inference(cnf_transformation,[],[f179])). 37.87/5.14 thf(f179,plain,( 37.87/5.14 (ulamvarind = (!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))))))))), 37.87/5.14 inference(fool_elimination,[],[f178])). 37.87/5.14 thf(f178,plain,( 37.87/5.14 (! [X0 : term > $o] : ((X0 @ one) => (! [X1 : term] : ((var @ X1) => ((X0 @ X1) => (X0 @ (sub @ X1 @ sh)))) => ! [X2 : term] : ((var @ X2) => (X0 @ X2)))) = ulamvarind)), 37.87/5.14 inference(rectify,[],[f15])). 37.87/5.14 thf(f15,axiom,( 37.87/5.14 (! [X5 : term > $o] : ((X5 @ one) => (! [X0 : term] : ((var @ X0) => ((X5 @ X0) => (X5 @ (sub @ X0 @ sh)))) => ! [X0 : term] : ((var @ X0) => (X5 @ X0)))) = ulamvarind)), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',ulamvarind)). 37.87/5.14 thf(f344,plain,( 37.87/5.14 (ulamvarsh = (!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))))), 37.87/5.14 inference(cnf_transformation,[],[f209])). 37.87/5.14 thf(f209,plain,( 37.87/5.14 (ulamvarsh = (!! @ term @ (^[Y0 : term]: ((var @ Y0) => (var @ (sub @ Y0 @ sh))))))), 37.87/5.14 inference(fool_elimination,[],[f208])). 37.87/5.14 thf(f208,plain,( 37.87/5.14 (ulamvarsh = ! [X0 : term] : ((var @ X0) => (var @ (sub @ X0 @ sh))))), 37.87/5.14 inference(rectify,[],[f14])). 37.87/5.14 thf(f14,axiom,( 37.87/5.14 (ulamvarsh = ! [X0 : term] : ((var @ X0) => (var @ (sub @ X0 @ sh))))), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',ulamvarsh)). 37.87/5.14 thf(f388,plain,( 37.87/5.14 (ulamvar1 = (var @ one))), 37.87/5.14 inference(cnf_transformation,[],[f117])). 37.87/5.14 thf(f117,plain,( 37.87/5.14 (ulamvar1 = (var @ one))), 37.87/5.14 inference(fool_elimination,[],[f13])). 37.87/5.14 thf(f13,axiom,( 37.87/5.14 (ulamvar1 = (var @ one))), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',ulamvar1)). 37.87/5.14 thf(f405,plain,( 37.87/5.14 (axscons = (!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))))), 37.87/5.14 inference(cnf_transformation,[],[f200])). 37.87/5.14 thf(f200,plain,( 37.87/5.14 (axscons = (!! @ subst @ (^[Y0 : subst]: ((push @ (sub @ one @ Y0) @ (comp @ sh @ Y0)) = Y0))))), 37.87/5.14 inference(fool_elimination,[],[f199])). 37.87/5.14 thf(f199,plain,( 37.87/5.14 (! [X0 : subst] : ((push @ (sub @ one @ X0) @ (comp @ sh @ X0)) = X0) = axscons)), 37.87/5.14 inference(rectify,[],[f12])). 37.87/5.14 thf(f12,axiom,( 37.87/5.14 (! [X2 : subst] : ((push @ (sub @ one @ X2) @ (comp @ sh @ X2)) = X2) = axscons)), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',axscons)). 37.87/5.14 thf(f443,plain,( 37.87/5.14 (axvarshift = (id = (push @ one @ sh)))), 37.87/5.14 inference(cnf_transformation,[],[f262])). 37.87/5.14 thf(f262,plain,( 37.87/5.14 (axvarshift = (id = (push @ one @ sh)))), 37.87/5.14 inference(fool_elimination,[],[f11])). 37.87/5.14 thf(f11,axiom,( 37.87/5.14 (axvarshift = (id = (push @ one @ sh)))), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',axvarshift)). 37.87/5.14 thf(f346,plain,( 37.87/5.14 (axidr = (!! @ subst @ (^[Y0 : subst]: ((comp @ Y0 @ id) = Y0))))), 37.87/5.14 inference(cnf_transformation,[],[f198])). 37.87/5.14 thf(f198,plain,( 37.87/5.14 (axidr = (!! @ subst @ (^[Y0 : subst]: ((comp @ Y0 @ id) = Y0))))), 37.87/5.14 inference(fool_elimination,[],[f197])). 37.87/5.14 thf(f197,plain,( 37.87/5.14 (! [X0 : subst] : ((comp @ X0 @ id) = X0) = axidr)), 37.87/5.14 inference(rectify,[],[f10])). 37.87/5.14 thf(f10,axiom,( 37.87/5.14 (! [X2 : subst] : ((comp @ X2 @ id) = X2) = axidr)), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',axidr)). 37.87/5.14 thf(f422,plain,( 37.87/5.14 (axmap = (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (push @ Y0 @ Y1) @ Y2) = (push @ (sub @ Y0 @ Y2) @ (comp @ Y1 @ Y2))))))))))), 37.87/5.14 inference(cnf_transformation,[],[f225])). 37.87/5.14 thf(f225,plain,( 37.87/5.14 (axmap = (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (push @ Y0 @ Y1) @ Y2) = (push @ (sub @ Y0 @ Y2) @ (comp @ Y1 @ Y2))))))))))), 37.87/5.14 inference(fool_elimination,[],[f224])). 37.87/5.14 thf(f224,plain,( 37.87/5.14 (axmap = ! [X0 : subst,X1 : subst,X2 : term] : ((comp @ (push @ X2 @ X1) @ X0) = (push @ (sub @ X2 @ X0) @ (comp @ X1 @ X0))))), 37.87/5.14 inference(rectify,[],[f9])). 37.87/5.14 thf(f9,axiom,( 37.87/5.14 (axmap = ! [X3 : subst,X2 : subst,X0 : term] : ((comp @ (push @ X0 @ X2) @ X3) = (push @ (sub @ X0 @ X3) @ (comp @ X2 @ X3))))), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',axmap)). 37.87/5.14 thf(f444,plain,( 37.87/5.14 (axassoc = (!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (comp @ Y0 @ Y1) @ Y2) = (comp @ Y0 @ (comp @ Y1 @ Y2))))))))))), 37.87/5.14 inference(cnf_transformation,[],[f227])). 37.87/5.14 thf(f227,plain,( 37.87/5.14 (axassoc = (!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((comp @ (comp @ Y0 @ Y1) @ Y2) = (comp @ Y0 @ (comp @ Y1 @ Y2))))))))))), 37.87/5.14 inference(fool_elimination,[],[f226])). 37.87/5.14 thf(f226,plain,( 37.87/5.14 (! [X0 : subst,X1 : subst,X2 : subst] : ((comp @ (comp @ X2 @ X1) @ X0) = (comp @ X2 @ (comp @ X1 @ X0))) = axassoc)), 37.87/5.14 inference(rectify,[],[f8])). 37.87/5.14 thf(f8,axiom,( 37.87/5.14 (! [X4 : subst,X3 : subst,X2 : subst] : ((comp @ (comp @ X2 @ X3) @ X4) = (comp @ X2 @ (comp @ X3 @ X4))) = axassoc)), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',axassoc)). 37.87/5.14 thf(f436,plain,( 37.87/5.14 (axshiftcons = (!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))))), 37.87/5.14 inference(cnf_transformation,[],[f305])). 37.87/5.14 thf(f305,plain,( 37.87/5.14 (axshiftcons = (!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))))), 37.87/5.14 inference(fool_elimination,[],[f304])). 37.87/5.14 thf(f304,plain,( 37.87/5.14 (! [X0 : term,X1 : subst] : ((comp @ sh @ (push @ X0 @ X1)) = X1) = axshiftcons)), 37.87/5.14 inference(rectify,[],[f7])). 37.87/5.14 thf(f7,axiom,( 37.87/5.14 (! [X0 : term,X2 : subst] : ((comp @ sh @ (push @ X0 @ X2)) = X2) = axshiftcons)), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',axshiftcons)). 37.87/5.14 thf(f410,plain,( 37.87/5.14 (axidl = (!! @ subst @ (^[Y0 : subst]: ((comp @ id @ Y0) = Y0))))), 37.87/5.14 inference(cnf_transformation,[],[f175])). 37.87/5.14 thf(f175,plain,( 37.87/5.14 (axidl = (!! @ subst @ (^[Y0 : subst]: ((comp @ id @ Y0) = Y0))))), 37.87/5.14 inference(fool_elimination,[],[f174])). 37.87/5.14 thf(f174,plain,( 37.87/5.14 (axidl = ! [X0 : subst] : ((comp @ id @ X0) = X0))), 37.87/5.14 inference(rectify,[],[f6])). 37.87/5.14 thf(f6,axiom,( 37.87/5.14 (axidl = ! [X2 : subst] : ((comp @ id @ X2) = X2))), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',axidl)). 37.87/5.14 thf(f364,plain,( 37.87/5.14 (axclos = (!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((sub @ (sub @ Y1 @ Y2) @ Y0) = (sub @ Y1 @ (comp @ Y2 @ Y0))))))))))), 37.87/5.14 inference(cnf_transformation,[],[f194])). 37.87/5.14 thf(f194,plain,( 37.87/5.14 (axclos = (!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((sub @ (sub @ Y1 @ Y2) @ Y0) = (sub @ Y1 @ (comp @ Y2 @ Y0))))))))))), 37.87/5.14 inference(fool_elimination,[],[f193])). 37.87/5.14 thf(f193,plain,( 37.87/5.14 (axclos = ! [X0 : subst,X1 : term,X2 : subst] : ((sub @ (sub @ X1 @ X0) @ X2) = (sub @ X1 @ (comp @ X0 @ X2))))), 37.87/5.14 inference(rectify,[],[f5])). 37.87/5.14 thf(f5,axiom,( 37.87/5.14 (axclos = ! [X2 : subst,X0 : term,X3 : subst] : ((sub @ (sub @ X0 @ X2) @ X3) = (sub @ X0 @ (comp @ X2 @ X3))))), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',axclos)). 37.87/5.14 thf(f378,plain,( 37.87/5.14 (axabs = (!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (lam @ Y1) @ Y0) = (lam @ (sub @ Y1 @ (push @ one @ (comp @ Y0 @ sh))))))))))), 37.87/5.14 inference(cnf_transformation,[],[f144])). 37.87/5.14 thf(f144,plain,( 37.87/5.14 (axabs = (!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (lam @ Y1) @ Y0) = (lam @ (sub @ Y1 @ (push @ one @ (comp @ Y0 @ sh))))))))))), 37.87/5.14 inference(fool_elimination,[],[f143])). 37.87/5.14 thf(f143,plain,( 37.87/5.14 (axabs = ! [X0 : term,X1 : subst] : ((sub @ (lam @ X0) @ X1) = (lam @ (sub @ X0 @ (push @ one @ (comp @ X1 @ sh))))))), 37.87/5.14 inference(rectify,[],[f4])). 37.87/5.14 thf(f4,axiom,( 37.87/5.14 (axabs = ! [X0 : term,X2 : subst] : ((sub @ (lam @ X0) @ X2) = (lam @ (sub @ X0 @ (push @ one @ (comp @ X2 @ sh))))))), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',axabs)). 37.87/5.14 thf(f355,plain,( 37.87/5.14 (axvarid = (!! @ term @ (^[Y0 : term]: ((sub @ Y0 @ id) = Y0))))), 37.87/5.14 inference(cnf_transformation,[],[f285])). 37.87/5.14 thf(f285,plain,( 37.87/5.14 (axvarid = (!! @ term @ (^[Y0 : term]: ((sub @ Y0 @ id) = Y0))))), 37.87/5.14 inference(fool_elimination,[],[f3])). 37.87/5.14 thf(f3,axiom,( 37.87/5.14 (axvarid = ! [X0 : term] : ((sub @ X0 @ id) = X0))), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',axvarid)). 37.87/5.14 thf(f358,plain,( 37.87/5.14 (axvarcons = (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))))), 37.87/5.14 inference(cnf_transformation,[],[f278])). 37.87/5.14 thf(f278,plain,( 37.87/5.14 (axvarcons = (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))))), 37.87/5.14 inference(fool_elimination,[],[f277])). 37.87/5.14 thf(f277,plain,( 37.87/5.14 (! [X0 : subst,X1 : term] : ((sub @ one @ (push @ X1 @ X0)) = X1) = axvarcons)), 37.87/5.14 inference(rectify,[],[f2])). 37.87/5.14 thf(f2,axiom,( 37.87/5.14 (! [X2 : subst,X0 : term] : ((sub @ one @ (push @ X0 @ X2)) = X0) = axvarcons)), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',axvarcons)). 37.87/5.14 thf(f373,plain,( 37.87/5.14 (axapp = (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((ap @ (sub @ Y2 @ Y1) @ (sub @ Y0 @ Y1)) = (sub @ (ap @ Y2 @ Y0) @ Y1)))))))))), 37.87/5.14 inference(cnf_transformation,[],[f147])). 37.87/5.14 thf(f147,plain,( 37.87/5.14 (axapp = (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((ap @ (sub @ Y2 @ Y1) @ (sub @ Y0 @ Y1)) = (sub @ (ap @ Y2 @ Y0) @ Y1)))))))))), 37.87/5.14 inference(fool_elimination,[],[f146])). 37.87/5.14 thf(f146,plain,( 37.87/5.14 (! [X0 : term,X1 : subst,X2 : term] : ((ap @ (sub @ X0 @ X1) @ (sub @ X2 @ X1)) = (sub @ (ap @ X0 @ X2) @ X1)) = axapp)), 37.87/5.14 inference(rectify,[],[f1])). 37.87/5.14 thf(f1,axiom,( 37.87/5.14 (! [X0 : term,X2 : subst,X1 : term] : ((sub @ (ap @ X0 @ X1) @ X2) = (ap @ (sub @ X0 @ X2) @ (sub @ X1 @ X2))) = axapp)), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',axapp)). 37.87/5.14 thf(f428,plain,( 37.87/5.14 (induction2_gthm = (axapp => (axvarcons => (axvarid => (axabs => (axclos => (axidl => (axshiftcons => (axassoc => (axmap => (axidr => (axvarshift => (axscons => (ulamvar1 => (ulamvarsh => (ulamvarind => (apinj1 => (apinj2 => (laminj => (shinj => (lamnotap => (apnotvar => (lamnotvar => (induction => (pushprop => (induction2lem => induction2))))))))))))))))))))))))))), 37.87/5.14 inference(cnf_transformation,[],[f177])). 37.87/5.14 thf(f177,plain,( 37.87/5.14 (induction2_gthm = (axapp => (axvarcons => (axvarid => (axabs => (axclos => (axidl => (axshiftcons => (axassoc => (axmap => (axidr => (axvarshift => (axscons => (ulamvar1 => (ulamvarsh => (ulamvarind => (apinj1 => (apinj2 => (laminj => (shinj => (lamnotap => (apnotvar => (lamnotvar => (induction => (pushprop => (induction2lem => induction2))))))))))))))))))))))))))), 37.87/5.14 inference(fool_elimination,[],[f176])). 37.87/5.14 thf(f176,plain,( 37.87/5.14 (induction2_gthm = axapp => (axvarcons => (axvarid => (axabs => (axclos => (axidl => (axshiftcons => (axassoc => (axmap => (axidr => (axvarshift => (axscons => (ulamvar1 => (ulamvarsh => (ulamvarind => (apinj1 => (apinj2 => (laminj => (shinj => (lamnotap => (apnotvar => (lamnotvar => (induction => (pushprop => (induction2lem => induction2)))))))))))))))))))))))))), 37.87/5.14 inference(rectify,[],[f47])). 37.87/5.14 thf(f47,axiom,( 37.87/5.14 (induction2_gthm = axapp => (axvarcons => (axvarid => (axabs => (axclos => (axidl => (axshiftcons => (axassoc => (axmap => (axidr => (axvarshift => (axscons => (ulamvar1 => (ulamvarsh => (ulamvarind => (apinj1 => (apinj2 => (laminj => (shinj => (lamnotap => (apnotvar => (lamnotvar => (induction => (pushprop => (induction2lem => induction2)))))))))))))))))))))))))), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',induction2_gthm)). 37.87/5.14 thf(f413,plain,( 37.87/5.14 ((~ induction2_gthm) = $true)), 37.87/5.14 inference(cnf_transformation,[],[f203])). 37.87/5.14 thf(f203,plain,( 37.87/5.14 ((~ induction2_gthm) = $true)), 37.87/5.14 inference(fool_elimination,[],[f202])). 37.87/5.14 thf(f202,plain,( 37.87/5.14 ~induction2_gthm), 37.87/5.14 inference(rectify,[],[f115])). 37.87/5.14 thf(f115,negated_conjecture,( 37.87/5.14 ~induction2_gthm), 37.87/5.14 inference(negated_conjecture,[],[f114])). 37.87/5.14 thf(f114,conjecture,( 37.87/5.14 induction2_gthm), 37.87/5.14 file('/export/starexec/sandbox/tmp/tmp.BG4SWLy4p6/Vampire---4.8_30372',thm)). 37.87/5.14 thf(f9247,plain,( 37.87/5.14 (((var @ sK4) => (sK2 @ sK4)) = $false) | ~spl0_20), 37.87/5.14 inference(forward_demodulation,[],[f9244,f553])). 37.87/5.14 thf(f553,plain,( 37.87/5.14 ( ! [X1 : term] : (((sub @ X1 @ id) = X1)) )), 37.87/5.14 inference(equality_proxy_clausification,[],[f550])). 37.87/5.14 thf(f550,plain,( 37.87/5.14 ( ! [X1 : term] : ((((sub @ X1 @ id) = X1) = $true)) )), 37.87/5.14 inference(beta_eta_normalization,[],[f548])). 37.87/5.14 thf(f548,plain,( 37.87/5.14 ( ! [X1 : term] : ((((^[Y0 : term]: ((sub @ Y0 @ id) = Y0)) @ X1) = $true)) )), 37.87/5.14 inference(pi_clausification,[],[f546])). 37.87/5.14 thf(f9244,plain,( 37.87/5.14 ($false = ((var @ sK4) => (sK2 @ (sub @ sK4 @ id)))) | ~spl0_20), 37.87/5.14 inference(beta_eta_normalization,[],[f9238])). 37.87/5.14 thf(f9238,plain,( 37.87/5.14 ($false = ((^[Y0 : term]: ((var @ Y0) => (sK2 @ (sub @ Y0 @ id)))) @ sK4)) | ~spl0_20), 37.87/5.14 inference(sigma_clausification,[],[f7951])). 37.87/5.14 thf(f7951,plain,( 37.87/5.14 ($false = (!! @ term @ (^[Y0 : term]: ((var @ Y0) => (sK2 @ (sub @ Y0 @ id)))))) | ~spl0_20), 37.87/5.14 inference(avatar_component_clause,[],[f7949])). 37.87/5.14 thf(f7949,plain,( 37.87/5.14 spl0_20 <=> ($false = (!! @ term @ (^[Y0 : term]: ((var @ Y0) => (sK2 @ (sub @ Y0 @ id))))))), 37.87/5.14 introduced(avatar_definition,[new_symbols(naming,[spl0_20])])). 37.87/5.14 thf(f7987,plain,( 37.87/5.14 ~spl0_19), 37.87/5.14 inference(avatar_contradiction_clause,[],[f7986])). 37.87/5.14 thf(f7986,plain,( 37.87/5.14 $false | ~spl0_19), 37.87/5.14 inference(trivial_inequality_removal,[],[f7966])). 37.87/5.14 thf(f7966,plain,( 37.87/5.14 ($false = $true) | ~spl0_19), 37.87/5.14 inference(superposition,[],[f7947,f3554])). 37.87/5.14 thf(f3554,plain,( 37.87/5.14 ($false = (sK2 @ sK3))), 37.87/5.14 inference(sigma_clausification,[],[f3551])). 37.87/5.14 thf(f3551,plain,( 37.87/5.14 ($false = (!! @ term @ sK2))), 37.87/5.14 inference(binary_proxy_clausification,[],[f3550])). 37.87/5.14 thf(f3550,plain,( 37.87/5.14 ($false = ((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((sK2 @ Y1) => (sK2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (sK2 @ (lam @ Y0))))) => (!! @ term @ sK2)))), 37.87/5.14 inference(boolean_simplification,[],[f3540])). 37.87/5.14 thf(f3540,plain,( 37.87/5.14 ($false = ($true => ((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((sK2 @ Y1) => (sK2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (sK2 @ (lam @ Y0))))) => (!! @ term @ sK2))))), 37.87/5.14 inference(backward_demodulation,[],[f2004,f2006])). 37.87/5.14 thf(f2006,plain,( 37.87/5.14 ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((sK2 @ Y0) => ((sK2 @ Y1) => (sK2 @ (ap @ Y0 @ Y1)))))))) = $true)), 37.87/5.14 inference(binary_proxy_clausification,[],[f2004])). 37.87/5.14 thf(f2004,plain,( 37.87/5.14 ($false = ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((sK2 @ Y0) => ((sK2 @ Y1) => (sK2 @ (ap @ Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((sK2 @ Y1) => (sK2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (sK2 @ (lam @ Y0))))) => (!! @ term @ sK2))))), 37.87/5.14 inference(boolean_simplification,[],[f1991])). 37.87/5.14 thf(f1991,plain,( 37.87/5.14 ($false = ($true => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((sK2 @ Y0) => ((sK2 @ Y1) => (sK2 @ (ap @ Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((sK2 @ Y1) => (sK2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (sK2 @ (lam @ Y0))))) => (!! @ term @ sK2)))))), 37.87/5.14 inference(backward_demodulation,[],[f1941,f1990])). 37.87/5.14 thf(f7947,plain,( 37.87/5.14 ( ! [X0 : term] : (((sK2 @ X0) = $true)) ) | ~spl0_19), 37.87/5.14 inference(avatar_component_clause,[],[f7946])). 37.87/5.14 thf(f7946,plain,( 37.87/5.14 spl0_19 <=> ! [X0 : term] : ((sK2 @ X0) = $true)), 37.87/5.14 introduced(avatar_definition,[new_symbols(naming,[spl0_19])])). 37.87/5.14 thf(f7952,plain,( 37.87/5.14 spl0_19 | spl0_20), 37.87/5.14 inference(avatar_split_clause,[],[f7808,f7949,f7946])). 37.87/5.14 thf(f7808,plain,( 37.87/5.14 ( ! [X0 : term] : (((sK2 @ X0) = $true) | ($false = (!! @ term @ (^[Y0 : term]: ((var @ Y0) => (sK2 @ (sub @ Y0 @ id))))))) )), 37.87/5.14 inference(binary_proxy_clausification,[],[f5566])). 37.87/5.14 thf(f5566,plain,( 37.87/5.14 ( ! [X0 : term] : ((((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (sK2 @ (sub @ Y0 @ id))))) => (sK2 @ X0)) = $true)) )), 37.87/5.14 inference(superposition,[],[f5538,f553])). 37.87/5.14 thf(f5538,plain,( 37.87/5.14 ( ! [X2 : subst,X1 : term] : ((((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (sK2 @ (sub @ Y0 @ X2))))) => (sK2 @ (sub @ X1 @ X2))) = $true)) )), 37.87/5.14 inference(beta_eta_normalization,[],[f5537])). 37.87/5.14 thf(f5537,plain,( 37.87/5.14 ( ! [X2 : subst,X1 : term] : ((((^[Y0 : subst]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (sK2 @ (sub @ Y1 @ Y0))))) => (sK2 @ (sub @ X1 @ Y0)))) @ X2) = $true)) )), 37.87/5.14 inference(pi_clausification,[],[f5517])). 37.87/5.14 thf(f5517,plain,( 37.87/5.14 ( ! [X1 : term] : (($true = (!! @ subst @ (^[Y0 : subst]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (sK2 @ (sub @ Y1 @ Y0))))) => (sK2 @ (sub @ X1 @ Y0))))))) )), 37.87/5.14 inference(beta_eta_normalization,[],[f5506])). 37.87/5.14 thf(f5506,plain,( 37.87/5.14 ( ! [X1 : term] : ((((^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((!! @ term @ (^[Y2 : term]: ((var @ Y2) => (sK2 @ (sub @ Y2 @ Y1))))) => (sK2 @ (sub @ Y0 @ Y1)))))) @ X1) = $true)) )), 37.87/5.14 inference(pi_clausification,[],[f3582])). 37.87/5.14 thf(f3582,plain,( 37.87/5.14 ($true = (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((!! @ term @ (^[Y2 : term]: ((var @ Y2) => (sK2 @ (sub @ Y2 @ Y1))))) => (sK2 @ (sub @ Y0 @ Y1))))))))), 37.87/5.14 inference(boolean_simplification,[],[f3581])). 37.87/5.14 thf(f3581,plain,( 37.87/5.14 (($true => (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((!! @ term @ (^[Y2 : term]: ((var @ Y2) => (sK2 @ (sub @ Y2 @ Y1))))) => (sK2 @ (sub @ Y0 @ Y1)))))))) = $true)), 37.87/5.14 inference(forward_demodulation,[],[f3575,f2006])). 37.87/5.14 thf(f3575,plain,( 37.87/5.14 (((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((sK2 @ Y0) => ((sK2 @ Y1) => (sK2 @ (ap @ Y0 @ Y1)))))))) => (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((!! @ term @ (^[Y2 : term]: ((var @ Y2) => (sK2 @ (sub @ Y2 @ Y1))))) => (sK2 @ (sub @ Y0 @ Y1)))))))) = $true)), 37.87/5.14 inference(boolean_simplification,[],[f3573])). 37.87/5.14 thf(f3573,plain,( 37.87/5.14 ($true = ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((sK2 @ Y0) => ((sK2 @ Y1) => (sK2 @ (ap @ Y0 @ Y1)))))))) => ($true => (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((!! @ term @ (^[Y2 : term]: ((var @ Y2) => (sK2 @ (sub @ Y2 @ Y1))))) => (sK2 @ (sub @ Y0 @ Y1))))))))))), 37.87/5.14 inference(superposition,[],[f1963,f3560])). 37.87/5.14 thf(f3560,plain,( 37.87/5.14 ($true = (!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((sK2 @ Y1) => (sK2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (sK2 @ (lam @ Y0))))))), 37.87/5.14 inference(not_proxy_clausification,[],[f3556])). 37.87/5.14 thf(f3556,plain,( 37.87/5.14 ($false = (~ (!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((sK2 @ Y1) => (sK2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (sK2 @ (lam @ Y0)))))))), 37.87/5.14 inference(boolean_simplification,[],[f3553])). 37.87/5.14 thf(f3553,plain,( 37.87/5.14 ($false = ((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((sK2 @ Y1) => (sK2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (sK2 @ (lam @ Y0))))) => $false))), 37.87/5.14 inference(backward_demodulation,[],[f3550,f3551])). 37.87/5.14 thf(f1963,plain,( 37.87/5.14 ( ! [X1 : term > $o] : (($true = ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((X1 @ Y0) => ((X1 @ Y1) => (X1 @ (ap @ Y0 @ Y1)))))))) => ((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X1 @ Y1) => (X1 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X1 @ (lam @ Y0))))) => (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((!! @ term @ (^[Y2 : term]: ((var @ Y2) => (X1 @ (sub @ Y2 @ Y1))))) => (X1 @ (sub @ Y0 @ Y1))))))))))) )), 37.87/5.14 inference(beta_eta_normalization,[],[f1961])). 37.87/5.14 thf(f1961,plain,( 37.87/5.14 ( ! [X1 : term > $o] : ((((^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2)))))))))) @ X1) = $true)) )), 37.87/5.14 inference(pi_clausification,[],[f1959])). 37.87/5.14 thf(f1959,plain,( 37.87/5.14 ($true = (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))))), 37.87/5.14 inference(not_proxy_clausification,[],[f1940])). 37.87/5.14 thf(f1940,plain,( 37.87/5.14 ($false = (~ (!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2)))))))))))))), 37.87/5.14 inference(boolean_simplification,[],[f1938])). 37.87/5.14 thf(f1938,plain,( 37.87/5.14 ($false = ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y1) => ((Y0 @ Y2) => (Y0 @ (ap @ Y1 @ Y2)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y0 @ (sub @ Y3 @ Y2))))) => (Y0 @ (sub @ Y1 @ Y2))))))))))) => $false))), 37.87/5.14 inference(backward_demodulation,[],[f1712,f1714])). 37.87/5.14 % SZS output end Proof for Vampire---4 37.87/5.14 % (31151)------------------------------ 37.87/5.14 % (31151)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 37.87/5.14 % (31151)Termination reason: Refutation 37.87/5.14 37.87/5.14 % (31151)Memory used [KB]: 14072 37.87/5.14 % (31151)Time elapsed: 0.918 s 37.87/5.14 % (31151)Instructions burned: 3028 (million) 37.87/5.14 % (31151)------------------------------ 37.87/5.14 % (31151)------------------------------ 37.87/5.14 % (30626)Success in time 4.756 s 37.87/5.14 % Vampire---4.8 exiting 37.87/5.14 EOF