0.11/0.13 % Problem : Vampire---4.8_28217 : TPTP v0.0.0. Released v0.0.0. 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.14/0.35 % Computer : n019.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1440 0.14/0.35 % WCLimit : 180 0.14/0.35 % DateTime : Mon Jul 3 13:02:34 EDT 2023 0.14/0.35 % CPUTime : 0.14/0.36 This is a THF_ problem 0.14/0.36 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.8r8uRCcLDu/Vampire---4.8_28217 -m 12000 -t 180 0.14/0.38 % (28325)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.14/0.38 % (28327)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi) 0.14/0.38 % (28328)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi) 0.14/0.38 % (28330)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi) 0.14/0.38 % (28329)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.14/0.38 % (28326)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.14/0.38 % (28331)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi) 0.14/0.38 % (28331)Instruction limit reached! 0.14/0.38 % (28331)------------------------------ 0.14/0.38 % (28331)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.38 % (28331)Termination reason: Unknown 0.14/0.38 % (28331)Termination phase: shuffling 0.14/0.38 0.14/0.38 % (28331)Memory used [KB]: 1023 0.14/0.38 % (28331)Time elapsed: 0.004 s 0.14/0.38 % (28331)Instructions burned: 4 (million) 0.14/0.38 % (28331)------------------------------ 0.14/0.38 % (28331)------------------------------ 0.14/0.39 % (28326)Refutation not found, incomplete strategy 0.14/0.39 % (28326)------------------------------ 0.14/0.39 % (28326)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.39 % (28326)Termination reason: Refutation not found, incomplete strategy 0.14/0.39 0.14/0.39 0.14/0.39 % (28326)Memory used [KB]: 5628 0.14/0.39 % (28326)Time elapsed: 0.009 s 0.14/0.39 % (28326)Instructions burned: 14 (million) 0.14/0.39 % (28326)------------------------------ 0.14/0.39 % (28326)------------------------------ 0.14/0.39 % (28329)Instruction limit reached! 0.14/0.39 % (28329)------------------------------ 0.14/0.39 % (28329)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.39 % (28329)Termination reason: Unknown 0.14/0.39 % (28329)Termination phase: Saturation 0.14/0.39 0.14/0.39 % (28329)Memory used [KB]: 5628 0.14/0.39 % (28329)Time elapsed: 0.011 s 0.14/0.39 % (28329)Instructions burned: 18 (million) 0.14/0.39 % (28329)------------------------------ 0.14/0.39 % (28329)------------------------------ 0.14/0.39 % (28332)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi) 0.14/0.40 % (28332)Refutation not found, incomplete strategy 0.14/0.40 % (28332)------------------------------ 0.14/0.40 % (28332)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.40 % (28332)Termination reason: Refutation not found, incomplete strategy 0.14/0.40 0.14/0.40 0.14/0.40 % (28332)Memory used [KB]: 5628 0.14/0.40 % (28332)Time elapsed: 0.007 s 0.14/0.40 % (28332)Instructions burned: 9 (million) 0.14/0.40 % (28332)------------------------------ 0.14/0.40 % (28332)------------------------------ 0.14/0.40 % (28333)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) 0.14/0.40 % (28335)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) 0.14/0.40 % (28334)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.14/0.40 % (28327)Instruction limit reached! 0.14/0.40 % (28327)------------------------------ 0.14/0.40 % (28327)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.40 % (28327)Termination reason: Unknown 0.14/0.40 % (28327)Termination phase: Saturation 0.14/0.40 0.14/0.40 % (28327)Memory used [KB]: 5884 0.14/0.40 % (28327)Time elapsed: 0.023 s 0.14/0.40 % (28327)Instructions burned: 34 (million) 0.14/0.40 % (28327)------------------------------ 0.14/0.40 % (28327)------------------------------ 0.14/0.41 % (28334)Instruction limit reached! 0.14/0.41 % (28334)------------------------------ 0.14/0.41 % (28334)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.41 % (28334)Termination reason: Unknown 0.14/0.41 % (28334)Termination phase: Function definition elimination 0.14/0.41 0.14/0.41 % (28334)Memory used [KB]: 1023 0.14/0.41 % (28334)Time elapsed: 0.006 s 0.14/0.41 % (28334)Instructions burned: 8 (million) 0.14/0.41 % (28334)------------------------------ 0.14/0.41 % (28334)------------------------------ 0.14/0.41 % (28336)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi) 0.20/0.41 % (28333)Instruction limit reached! 0.20/0.41 % (28333)------------------------------ 0.20/0.41 % (28333)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.41 % (28333)Termination reason: Unknown 0.20/0.41 % (28333)Termination phase: Saturation 0.20/0.41 0.20/0.41 % (28333)Memory used [KB]: 5756 0.20/0.41 % (28333)Time elapsed: 0.014 s 0.20/0.41 % (28333)Instructions burned: 21 (million) 0.20/0.41 % (28333)------------------------------ 0.20/0.41 % (28333)------------------------------ 0.20/0.42 % (28337)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on Vampire---4 for (1799ds/9Mi) 0.20/0.42 % (28338)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi) 0.20/0.42 % (28337)Instruction limit reached! 0.20/0.42 % (28337)------------------------------ 0.20/0.42 % (28337)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.42 % (28337)Termination reason: Unknown 0.20/0.42 % (28337)Termination phase: Property scanning 0.20/0.42 0.20/0.42 % (28337)Memory used [KB]: 1023 0.20/0.42 % (28337)Time elapsed: 0.006 s 0.20/0.42 % (28337)Instructions burned: 9 (million) 0.20/0.42 % (28337)------------------------------ 0.20/0.42 % (28337)------------------------------ 0.20/0.42 % (28330)Instruction limit reached! 0.20/0.42 % (28330)------------------------------ 0.20/0.42 % (28330)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.42 % (28330)Termination reason: Unknown 0.20/0.42 % (28330)Termination phase: Saturation 0.20/0.42 0.20/0.42 % (28330)Memory used [KB]: 6012 0.20/0.42 % (28330)Time elapsed: 0.046 s 0.20/0.42 % (28330)Instructions burned: 75 (million) 0.20/0.42 % (28330)------------------------------ 0.20/0.42 % (28330)------------------------------ 0.20/0.43 % (28339)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi) 0.20/0.43 % (28325)Instruction limit reached! 0.20/0.43 % (28325)------------------------------ 0.20/0.43 % (28325)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.43 % (28325)Termination reason: Unknown 0.20/0.43 % (28325)Termination phase: Saturation 0.20/0.43 0.20/0.43 % (28325)Memory used [KB]: 6012 0.20/0.43 % (28325)Time elapsed: 0.059 s 0.20/0.43 % (28325)Instructions burned: 97 (million) 0.20/0.43 % (28325)------------------------------ 0.20/0.43 % (28325)------------------------------ 0.20/0.44 % (28340)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.20/0.44 % (28341)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.20/0.44 % (28341)Instruction limit reached! 0.20/0.44 % (28341)------------------------------ 0.20/0.44 % (28341)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.44 % (28341)Termination reason: Unknown 0.20/0.44 % (28341)Termination phase: Saturation 0.20/0.44 0.20/0.44 % (28341)Memory used [KB]: 5628 0.20/0.44 % (28341)Time elapsed: 0.009 s 0.20/0.44 % (28341)Instructions burned: 14 (million) 0.20/0.44 % (28341)------------------------------ 0.20/0.44 % (28341)------------------------------ 0.20/0.45 % (28342)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1799ds/2Mi) 0.20/0.45 % (28342)Instruction limit reached! 0.20/0.45 % (28342)------------------------------ 0.20/0.45 % (28342)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.45 % (28342)Termination reason: Unknown 0.20/0.45 % (28342)Termination phase: shuffling 0.20/0.45 0.20/0.45 % (28342)Memory used [KB]: 1023 0.20/0.45 % (28342)Time elapsed: 0.003 s 0.20/0.45 % (28342)Instructions burned: 2 (million) 0.20/0.45 % (28342)------------------------------ 0.20/0.45 % (28342)------------------------------ 0.20/0.46 % (28336)Instruction limit reached! 0.20/0.46 % (28336)------------------------------ 0.20/0.46 % (28336)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.46 % (28336)Termination reason: Unknown 0.20/0.46 % (28336)Termination phase: Saturation 0.20/0.46 0.20/0.46 % (28336)Memory used [KB]: 5884 0.20/0.46 % (28336)Time elapsed: 0.046 s 0.20/0.46 % (28336)Instructions burned: 72 (million) 0.20/0.46 % (28336)------------------------------ 0.20/0.46 % (28336)------------------------------ 0.20/0.46 % (28343)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (1799ds/1041Mi) 0.20/0.46 % (28344)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) 0.20/0.47 % (28340)Instruction limit reached! 0.20/0.47 % (28340)------------------------------ 0.20/0.47 % (28340)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.47 % (28340)Termination reason: Unknown 0.20/0.47 % (28340)Termination phase: Saturation 0.20/0.47 0.20/0.47 % (28340)Memory used [KB]: 6012 0.20/0.47 % (28340)Time elapsed: 0.036 s 0.20/0.47 % (28340)Instructions burned: 62 (million) 0.20/0.47 % (28340)------------------------------ 0.20/0.47 % (28340)------------------------------ 0.20/0.47 % (28345)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) 0.20/0.47 % (28344)Instruction limit reached! 0.20/0.47 % (28344)------------------------------ 0.20/0.47 % (28344)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.47 % (28344)Termination reason: Unknown 0.20/0.47 % (28344)Termination phase: Saturation 0.20/0.47 0.20/0.47 % (28344)Memory used [KB]: 5628 0.20/0.47 % (28344)Time elapsed: 0.008 s 0.20/0.47 % (28344)Instructions burned: 12 (million) 0.20/0.47 % (28344)------------------------------ 0.20/0.47 % (28344)------------------------------ 0.20/0.48 % (28345)Refutation not found, incomplete strategy 0.20/0.48 % (28345)------------------------------ 0.20/0.48 % (28345)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.48 % (28345)Termination reason: Refutation not found, incomplete strategy 0.20/0.48 0.20/0.48 0.20/0.48 % (28345)Memory used [KB]: 5628 0.20/0.48 % (28345)Time elapsed: 0.007 s 0.20/0.48 % (28345)Instructions burned: 10 (million) 0.20/0.48 % (28345)------------------------------ 0.20/0.48 % (28345)------------------------------ 0.20/0.48 % (28346)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (1798ds/26Mi) 0.20/0.48 % (28339)Instruction limit reached! 0.20/0.48 % (28339)------------------------------ 0.20/0.48 % (28339)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.48 % (28339)Termination reason: Unknown 0.20/0.48 % (28339)Termination phase: Saturation 0.20/0.48 0.20/0.48 % (28339)Memory used [KB]: 6140 0.20/0.48 % (28339)Time elapsed: 0.058 s 0.20/0.48 % (28339)Instructions burned: 130 (million) 0.20/0.48 % (28339)------------------------------ 0.20/0.48 % (28339)------------------------------ 0.20/0.48 % (28347)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1798ds/56Mi) 0.20/0.49 % (28348)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (1798ds/275Mi) 0.20/0.49 % (28346)Instruction limit reached! 0.20/0.49 % (28346)------------------------------ 0.20/0.49 % (28346)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.49 % (28346)Termination reason: Unknown 0.20/0.49 % (28346)Termination phase: Saturation 0.20/0.49 0.20/0.49 % (28346)Memory used [KB]: 5756 0.20/0.49 % (28346)Time elapsed: 0.010 s 0.20/0.49 % (28346)Instructions burned: 28 (million) 0.20/0.49 % (28346)------------------------------ 0.20/0.49 % (28346)------------------------------ 0.20/0.49 % (28349)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi) 0.20/0.49 % (28349)Instruction limit reached! 0.20/0.49 % (28349)------------------------------ 0.20/0.49 % (28349)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.49 % (28349)Termination reason: Unknown 0.20/0.49 % (28349)Termination phase: shuffling 0.20/0.49 0.20/0.49 % (28349)Memory used [KB]: 1023 0.20/0.49 % (28349)Time elapsed: 0.002 s 0.20/0.49 % (28349)Instructions burned: 4 (million) 0.20/0.49 % (28349)------------------------------ 0.20/0.49 % (28349)------------------------------ 0.20/0.50 % (28350)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) 0.20/0.50 % (28351)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) 0.20/0.50 % (28347)Instruction limit reached! 0.20/0.50 % (28347)------------------------------ 0.20/0.50 % (28347)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.50 % (28347)Termination reason: Unknown 0.20/0.50 % (28347)Termination phase: Saturation 0.20/0.50 0.20/0.50 % (28347)Memory used [KB]: 1407 0.20/0.50 % (28347)Time elapsed: 0.022 s 0.20/0.50 % (28347)Instructions burned: 58 (million) 0.20/0.50 % (28347)------------------------------ 0.20/0.50 % (28347)------------------------------ 0.20/0.50 % (28350)Instruction limit reached! 0.20/0.50 % (28350)------------------------------ 0.20/0.50 % (28350)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.50 % (28350)Termination reason: Unknown 0.20/0.50 % (28350)Termination phase: Saturation 0.20/0.50 0.20/0.50 % (28350)Memory used [KB]: 5628 0.20/0.50 % (28350)Time elapsed: 0.007 s 0.20/0.50 % (28350)Instructions burned: 20 (million) 0.20/0.50 % (28350)------------------------------ 0.20/0.50 % (28350)------------------------------ 0.20/0.51 % (28352)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) 0.20/0.51 % (28353)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) 0.20/0.51 % (28351)Instruction limit reached! 0.20/0.51 % (28351)------------------------------ 0.20/0.51 % (28351)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.51 % (28351)Termination reason: Unknown 0.20/0.51 % (28351)Termination phase: Saturation 0.20/0.51 0.20/0.51 % (28351)Memory used [KB]: 1279 0.20/0.51 % (28351)Time elapsed: 0.015 s 0.20/0.51 % (28351)Instructions burned: 44 (million) 0.20/0.51 % (28351)------------------------------ 0.20/0.51 % (28351)------------------------------ 0.20/0.52 % (28354)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) 0.20/0.53 % (28353)Instruction limit reached! 0.20/0.53 % (28353)------------------------------ 0.20/0.53 % (28353)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.53 % (28353)Termination reason: Unknown 0.20/0.53 % (28353)Termination phase: Saturation 0.20/0.53 0.20/0.53 % (28353)Memory used [KB]: 5884 0.20/0.53 % (28353)Time elapsed: 0.022 s 0.20/0.53 % (28353)Instructions burned: 65 (million) 0.20/0.53 % (28353)------------------------------ 0.20/0.53 % (28353)------------------------------ 0.20/0.54 % (28354)Refutation not found, incomplete strategy 0.20/0.54 % (28354)------------------------------ 0.20/0.54 % (28354)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.54 % (28354)Termination reason: Refutation not found, incomplete strategy 0.20/0.54 0.20/0.54 0.20/0.54 % (28354)Memory used [KB]: 5884 0.20/0.54 % (28354)Time elapsed: 0.019 s 0.20/0.54 % (28354)Instructions burned: 57 (million) 0.20/0.54 % (28354)------------------------------ 0.20/0.54 % (28354)------------------------------ 0.20/0.54 % (28355)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) 0.20/0.54 % (28355)Instruction limit reached! 0.20/0.54 % (28355)------------------------------ 0.20/0.54 % (28355)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.54 % (28355)Termination reason: Unknown 0.20/0.54 % (28355)Termination phase: shuffling 0.20/0.54 0.20/0.54 % (28355)Memory used [KB]: 1023 0.20/0.54 % (28355)Time elapsed: 0.002 s 0.20/0.54 % (28355)Instructions burned: 4 (million) 0.20/0.54 % (28355)------------------------------ 0.20/0.54 % (28355)------------------------------ 0.20/0.55 % (28356)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) 0.20/0.55 % (28357)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) 0.20/0.55 % (28357)Instruction limit reached! 0.20/0.55 % (28357)------------------------------ 0.20/0.55 % (28357)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.55 % (28357)Termination reason: Unknown 0.20/0.55 % (28357)Termination phase: shuffling 0.20/0.55 0.20/0.55 % (28357)Memory used [KB]: 1023 0.20/0.55 % (28357)Time elapsed: 0.002 s 0.20/0.55 % (28357)Instructions burned: 4 (million) 0.20/0.55 % (28357)------------------------------ 0.20/0.55 % (28357)------------------------------ 0.20/0.55 % (28328)Instruction limit reached! 0.20/0.55 % (28328)------------------------------ 0.20/0.55 % (28328)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.55 % (28328)Termination reason: Unknown 0.20/0.55 % (28328)Termination phase: Saturation 0.20/0.55 0.20/0.55 % (28328)Memory used [KB]: 6780 0.20/0.55 % (28328)Time elapsed: 0.178 s 0.20/0.55 % (28328)Instructions burned: 386 (million) 0.20/0.55 % (28328)------------------------------ 0.20/0.55 % (28328)------------------------------ 0.20/0.56 % (28358)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) 0.20/0.56 % (28358)Instruction limit reached! 0.20/0.56 % (28358)------------------------------ 0.20/0.56 % (28358)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.56 % (28359)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) 0.20/0.56 % (28358)Termination reason: Unknown 0.20/0.56 % (28358)Termination phase: Property scanning 0.20/0.56 0.20/0.56 % (28358)Memory used [KB]: 1023 0.20/0.56 % (28358)Time elapsed: 0.002 s 0.20/0.56 % (28358)Instructions burned: 4 (million) 0.20/0.56 % (28358)------------------------------ 0.20/0.56 % (28358)------------------------------ 0.20/0.57 % (28360)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) 1.77/0.58 % (28360)Refutation not found, incomplete strategy 1.77/0.58 % (28360)------------------------------ 1.77/0.58 % (28360)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.77/0.58 % (28360)Termination reason: Refutation not found, incomplete strategy 1.77/0.58 1.77/0.58 1.77/0.58 % (28360)Memory used [KB]: 5628 1.77/0.58 % (28360)Time elapsed: 0.006 s 1.77/0.58 % (28360)Instructions burned: 16 (million) 1.77/0.58 % (28360)------------------------------ 1.77/0.58 % (28360)------------------------------ 1.77/0.58 % (28352)Instruction limit reached! 1.77/0.58 % (28352)------------------------------ 1.77/0.58 % (28352)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.77/0.58 % (28352)Termination reason: Unknown 1.77/0.58 % (28352)Termination phase: Saturation 1.77/0.58 1.77/0.58 % (28352)Memory used [KB]: 7164 1.77/0.58 % (28352)Time elapsed: 0.067 s 1.77/0.58 % (28352)Instructions burned: 191 (million) 1.77/0.58 % (28352)------------------------------ 1.77/0.58 % (28352)------------------------------ 1.77/0.58 % (28348)Instruction limit reached! 1.77/0.58 % (28348)------------------------------ 1.77/0.58 % (28348)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.77/0.58 % (28348)Termination reason: Unknown 1.77/0.58 % (28348)Termination phase: Saturation 1.77/0.58 1.77/0.58 % (28348)Memory used [KB]: 6396 1.77/0.58 % (28348)Time elapsed: 0.092 s 1.77/0.58 % (28348)Instructions burned: 275 (million) 1.77/0.58 % (28348)------------------------------ 1.77/0.58 % (28348)------------------------------ 1.77/0.58 % (28361)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) 1.77/0.59 % (28362)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (1797ds/39Mi) 1.77/0.59 % (28363)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) 1.90/0.60 % (28362)Instruction limit reached! 1.90/0.60 % (28362)------------------------------ 1.90/0.60 % (28362)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.90/0.60 % (28362)Termination reason: Unknown 1.90/0.60 % (28362)Termination phase: Saturation 1.90/0.60 1.90/0.60 % (28362)Memory used [KB]: 5884 1.90/0.60 % (28362)Time elapsed: 0.035 s 1.90/0.60 % (28362)Instructions burned: 40 (million) 1.90/0.60 % (28362)------------------------------ 1.90/0.60 % (28362)------------------------------ 1.90/0.61 % (28364)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) 1.90/0.61 % (28364)Instruction limit reached! 1.90/0.61 % (28364)------------------------------ 1.90/0.61 % (28364)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.90/0.61 % (28364)Termination reason: Unknown 1.90/0.61 % (28364)Termination phase: shuffling 1.90/0.61 1.90/0.61 % (28364)Memory used [KB]: 1023 1.90/0.61 % (28364)Time elapsed: 0.002 s 1.90/0.61 % (28364)Instructions burned: 4 (million) 1.90/0.61 % (28364)------------------------------ 1.90/0.61 % (28364)------------------------------ 1.90/0.61 % (28359)Instruction limit reached! 1.90/0.61 % (28359)------------------------------ 1.90/0.61 % (28359)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.90/0.61 % (28359)Termination reason: Unknown 1.90/0.61 % (28359)Termination phase: Saturation 1.90/0.61 1.90/0.61 % (28359)Memory used [KB]: 6012 1.90/0.61 % (28359)Time elapsed: 0.053 s 1.90/0.61 % (28359)Instructions burned: 152 (million) 1.90/0.61 % (28359)------------------------------ 1.90/0.61 % (28359)------------------------------ 1.90/0.62 % (28365)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) 1.90/0.62 % (28366)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) 1.90/0.62 % (28365)Instruction limit reached! 1.90/0.62 % (28365)------------------------------ 1.90/0.62 % (28365)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.90/0.62 % (28365)Termination reason: Unknown 1.90/0.62 % (28365)Termination phase: Saturation 1.90/0.62 1.90/0.62 % (28365)Memory used [KB]: 5756 1.90/0.62 % (28365)Time elapsed: 0.008 s 1.90/0.62 % (28365)Instructions burned: 20 (million) 1.90/0.62 % (28365)------------------------------ 1.90/0.62 % (28365)------------------------------ 2.09/0.63 % (28338)First to succeed. 2.09/0.63 % (28356)Instruction limit reached! 2.09/0.63 % (28356)------------------------------ 2.09/0.63 % (28356)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.09/0.63 % (28356)Termination reason: Unknown 2.09/0.63 % (28356)Termination phase: Saturation 2.09/0.63 2.09/0.63 % (28356)Memory used [KB]: 6524 2.09/0.63 % (28356)Time elapsed: 0.080 s 2.09/0.63 % (28356)Instructions burned: 238 (million) 2.09/0.63 % (28356)------------------------------ 2.09/0.63 % (28356)------------------------------ 2.12/0.63 % (28367)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) 2.12/0.64 % (28368)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) 2.12/0.64 % (28368)Instruction limit reached! 2.12/0.64 % (28368)------------------------------ 2.12/0.64 % (28368)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.12/0.64 % (28368)Termination reason: Unknown 2.12/0.64 % (28338)Refutation found. Thanks to Tanya! 2.12/0.64 % SZS status Theorem for Vampire---4 2.12/0.64 % SZS output start Proof for Vampire---4 2.12/0.64 thf(type_def_5, type, mu: $tType). 2.12/0.64 thf(func_def_0, type, mu: $tType). 2.12/0.64 thf(func_def_1, type, meq_ind: mu > mu > $i > $o). 2.12/0.64 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 2.12/0.64 thf(func_def_4, type, mnot: ($i > $o) > $i > $o). 2.12/0.64 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o). 2.12/0.64 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o). 2.12/0.64 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 2.12/0.64 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 2.12/0.64 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 2.12/0.64 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 2.12/0.64 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o). 2.12/0.64 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 2.12/0.64 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o). 2.12/0.64 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 2.12/0.64 thf(func_def_15, type, mtrue: $i > $o). 2.12/0.64 thf(func_def_16, type, mfalse: $i > $o). 2.12/0.64 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 2.12/0.64 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 2.12/0.64 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o). 2.12/0.64 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o). 2.12/0.64 thf(func_def_21, type, mserial: ($i > $i > $o) > $o). 2.12/0.64 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o). 2.12/0.64 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o). 2.12/0.64 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o). 2.12/0.64 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o). 2.12/0.64 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o). 2.12/0.64 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o). 2.12/0.64 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o). 2.12/0.64 thf(func_def_29, type, mvalid: ($i > $o) > $o). 2.12/0.64 thf(func_def_30, type, minvalid: ($i > $o) > $o). 2.12/0.64 thf(func_def_31, type, msatisfiable: ($i > $o) > $o). 2.12/0.64 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o). 2.12/0.64 thf(func_def_48, type, sK0: $i > $i > $o). 2.12/0.64 thf(func_def_52, type, sK4: $i > $o). 2.12/0.64 thf(func_def_54, type, sK6: $i > $o). 2.12/0.64 thf(func_def_57, type, sK9: $i > $o). 2.12/0.64 thf(func_def_61, type, sK13: $i > $o). 2.12/0.64 thf(func_def_64, type, sK16: $i > $o). 2.12/0.64 thf(func_def_67, type, sK19: ($i > $o) > $i > $i). 2.12/0.64 thf(func_def_68, type, sK20: ($i > $o) > $i > $i). 2.12/0.64 thf(func_def_69, type, sK21: ($i > $o) > $i > $i). 2.12/0.64 thf(func_def_70, type, ph22: !>[X0: $tType]:(X0)). 2.12/0.64 thf(f2846,plain,( 2.12/0.64 $false), 2.12/0.64 inference(avatar_sat_refutation,[],[f318,f322,f329,f333,f340,f345,f350,f355,f363,f368,f373,f378,f386,f391,f396,f401,f409,f414,f419,f424,f551,f610,f723,f825,f1061,f1068,f1116,f1191,f1332,f1341,f1455,f1593,f1635,f1699,f1871,f1914,f2026,f2203,f2207,f2212,f2321,f2575,f2577,f2626,f2673,f2685,f2800,f2802,f2804,f2845])). 2.12/0.64 thf(f2845,plain,( 2.12/0.64 spl1_63 | spl1_64 | ~spl1_1 | ~spl1_4 | ~spl1_13), 2.12/0.64 inference(avatar_split_clause,[],[f2829,f361,f324,f313,f1179,f1176])). 2.12/0.64 thf(f1176,plain,( 2.12/0.64 spl1_63 <=> ! [X2,X3] : (((sK0 @ sK15 @ X2) = $true) | ((sK0 @ X3 @ sK15) = $false) | ((sK0 @ X3 @ X2) = $false))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_63])])). 2.12/0.64 thf(f1179,plain,( 2.12/0.64 spl1_64 <=> ! [X0,X1] : (((sK0 @ X1 @ sK15) = $false) | ($true = (sK13 @ X0)) | ($false = (sK0 @ X1 @ X0)))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_64])])). 2.12/0.64 thf(f313,plain,( 2.12/0.64 spl1_1 <=> ! [X5 : $i > $o,X7,X6,X2] : (((sK0 @ X2 @ X7) = $false) | ((X5 @ X7) = $false) | ($true = (X5 @ (sK19 @ X5 @ X6))) | ((sK0 @ X2 @ X6) = $false))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])). 2.12/0.64 thf(f324,plain,( 2.12/0.64 spl1_4 <=> ! [X5 : $i > $o,X7,X6,X2] : (($true = (sK0 @ X6 @ (sK19 @ X5 @ X6))) | ((sK0 @ X2 @ X7) = $false) | ((sK0 @ X2 @ X6) = $false) | ((X5 @ X7) = $false))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])). 2.12/0.64 thf(f361,plain,( 2.12/0.64 spl1_13 <=> ! [X1] : (($true = (sK13 @ X1)) | ((sK0 @ sK15 @ X1) = $false))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_13])])). 2.12/0.64 thf(f2829,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ sK15 @ X3) = $true) | ($false = (sK0 @ X1 @ X0)) | ((sK0 @ X2 @ X3) = $false) | ($true = (sK13 @ X0)) | ((sK0 @ X2 @ sK15) = $false) | ((sK0 @ X1 @ sK15) = $false)) ) | (~spl1_1 | ~spl1_4 | ~spl1_13)), 2.12/0.64 inference(trivial_inequality_removal,[],[f2820])). 2.12/0.64 thf(f2820,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X2 @ X3) = $false) | ($true = $false) | ((sK0 @ X2 @ sK15) = $false) | ($false = (sK0 @ X1 @ X0)) | ((sK0 @ sK15 @ X3) = $true) | ((sK0 @ X1 @ sK15) = $false) | ($true = (sK13 @ X0))) ) | (~spl1_1 | ~spl1_4 | ~spl1_13)), 2.12/0.64 inference(superposition,[],[f2707,f362])). 2.12/0.64 thf(f362,plain,( 2.12/0.64 ( ! [X1 : $i] : (((sK0 @ sK15 @ X1) = $false) | ($true = (sK13 @ X1))) ) | ~spl1_13), 2.12/0.64 inference(avatar_component_clause,[],[f361])). 2.12/0.64 thf(f2707,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = (sK0 @ X0 @ X1)) | ($false = (sK0 @ X2 @ X0)) | ((sK0 @ X4 @ X3) = $false) | ((sK0 @ X0 @ X3) = $true) | ((sK0 @ X4 @ X0) = $false) | ((sK0 @ X2 @ X1) = $false)) ) | (~spl1_1 | ~spl1_4)), 2.12/0.64 inference(not_proxy_clausification,[],[f2706])). 2.12/0.64 thf(f2706,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((sK0 @ X0 @ X3) = $true) | ((~ (sK0 @ X0 @ X1)) = $false) | ((sK0 @ X2 @ X1) = $false) | ($false = (sK0 @ X2 @ X0)) | ((sK0 @ X4 @ X0) = $false) | ((sK0 @ X4 @ X3) = $false)) ) | (~spl1_1 | ~spl1_4)), 2.12/0.64 inference(beta_eta_normalization,[],[f2705])). 2.12/0.64 thf(f2705,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((sK0 @ X0 @ X3) = $true) | ($false = (sK0 @ X2 @ X0)) | ((sK0 @ X2 @ X1) = $false) | ((sK0 @ X4 @ X0) = $false) | (((^[Y0 : $i]: (~ (sK0 @ X0 @ Y0))) @ X1) = $false) | ((sK0 @ X4 @ X3) = $false)) ) | (~spl1_1 | ~spl1_4)), 2.12/0.64 inference(trivial_inequality_removal,[],[f2690])). 2.12/0.64 thf(f2690,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = (sK0 @ X2 @ X0)) | (((^[Y0 : $i]: (~ (sK0 @ X0 @ Y0))) @ X1) = $false) | ((sK0 @ X4 @ X0) = $false) | ((sK0 @ X2 @ X1) = $false) | ((sK0 @ X4 @ X3) = $false) | ((sK0 @ X0 @ X3) = $true) | ($true = $false)) ) | (~spl1_1 | ~spl1_4)), 2.12/0.64 inference(superposition,[],[f325,f2356])). 2.12/0.64 thf(f2356,plain,( 2.12/0.64 ( ! [X2 : $i,X10 : $i > $o,X6 : $i,X7 : $i] : (((X10 @ (sK19 @ (^[Y0 : $i]: (~ (X10 @ Y0))) @ X6)) = $false) | ($true = (X10 @ X7)) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X2 @ X7) = $false)) ) | ~spl1_1), 2.12/0.64 inference(not_proxy_clausification,[],[f2355])). 2.12/0.64 thf(f2355,plain,( 2.12/0.64 ( ! [X2 : $i,X10 : $i > $o,X6 : $i,X7 : $i] : (((sK0 @ X2 @ X6) = $false) | ((~ (X10 @ X7)) = $false) | ((sK0 @ X2 @ X7) = $false) | ((X10 @ (sK19 @ (^[Y0 : $i]: (~ (X10 @ Y0))) @ X6)) = $false)) ) | ~spl1_1), 2.12/0.64 inference(not_proxy_clausification,[],[f2354])). 2.12/0.64 thf(f2354,plain,( 2.12/0.64 ( ! [X2 : $i,X10 : $i > $o,X6 : $i,X7 : $i] : (((sK0 @ X2 @ X7) = $false) | ($true = (~ (X10 @ (sK19 @ (^[Y0 : $i]: (~ (X10 @ Y0))) @ X6)))) | ((sK0 @ X2 @ X6) = $false) | ((~ (X10 @ X7)) = $false)) ) | ~spl1_1), 2.12/0.64 inference(beta_eta_normalization,[],[f2335])). 2.12/0.64 thf(f2335,plain,( 2.12/0.64 ( ! [X2 : $i,X10 : $i > $o,X6 : $i,X7 : $i] : (((sK0 @ X2 @ X7) = $false) | ($true = ((^[Y0 : $i]: (~ (X10 @ Y0))) @ (sK19 @ (^[Y0 : $i]: (~ (X10 @ Y0))) @ X6))) | ((sK0 @ X2 @ X6) = $false) | (((^[Y0 : $i]: (~ (X10 @ Y0))) @ X7) = $false)) ) | ~spl1_1), 2.12/0.64 inference(primitive_instantiation,[],[f314])). 2.12/0.64 thf(f314,plain,( 2.12/0.64 ( ! [X2 : $i,X6 : $i,X7 : $i,X5 : $i > $o] : (($true = (X5 @ (sK19 @ X5 @ X6))) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X2 @ X7) = $false) | ((X5 @ X7) = $false)) ) | ~spl1_1), 2.12/0.64 inference(avatar_component_clause,[],[f313])). 2.12/0.64 thf(f325,plain,( 2.12/0.64 ( ! [X2 : $i,X6 : $i,X7 : $i,X5 : $i > $o] : (($true = (sK0 @ X6 @ (sK19 @ X5 @ X6))) | ((X5 @ X7) = $false) | ((sK0 @ X2 @ X7) = $false) | ((sK0 @ X2 @ X6) = $false)) ) | ~spl1_4), 2.12/0.64 inference(avatar_component_clause,[],[f324])). 2.12/0.64 thf(f2804,plain,( 2.12/0.64 spl1_86 | spl1_85 | ~spl1_1 | ~spl1_4 | ~spl1_23), 2.12/0.64 inference(avatar_split_clause,[],[f2786,f407,f324,f313,f1449,f1452])). 2.12/0.64 thf(f1452,plain,( 2.12/0.64 spl1_86 <=> ! [X0,X1] : (($true = (sK6 @ X0)) | ((sK0 @ X1 @ sK8) = $false) | ($false = (sK0 @ X1 @ X0)))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_86])])). 2.12/0.64 thf(f1449,plain,( 2.12/0.64 spl1_85 <=> ! [X2,X3] : (((sK0 @ X3 @ sK8) = $false) | ($true = (sK0 @ sK8 @ X2)) | ((sK0 @ X3 @ X2) = $false))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_85])])). 2.12/0.64 thf(f407,plain,( 2.12/0.64 spl1_23 <=> ! [X1] : (($true = (sK6 @ X1)) | ((sK0 @ sK8 @ X1) = $false))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_23])])). 2.12/0.64 thf(f2786,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X1 @ sK8) = $false) | ($true = (sK0 @ sK8 @ X3)) | ($true = (sK6 @ X0)) | ($false = (sK0 @ X1 @ X0)) | ((sK0 @ X2 @ X3) = $false) | ((sK0 @ X2 @ sK8) = $false)) ) | (~spl1_1 | ~spl1_4 | ~spl1_23)), 2.12/0.64 inference(trivial_inequality_removal,[],[f2759])). 2.12/0.64 thf(f2759,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (sK6 @ X0)) | ($true = (sK0 @ sK8 @ X3)) | ($false = (sK0 @ X1 @ X0)) | ($true = $false) | ((sK0 @ X1 @ sK8) = $false) | ((sK0 @ X2 @ X3) = $false) | ((sK0 @ X2 @ sK8) = $false)) ) | (~spl1_1 | ~spl1_4 | ~spl1_23)), 2.12/0.64 inference(superposition,[],[f2707,f408])). 2.12/0.64 thf(f408,plain,( 2.12/0.64 ( ! [X1 : $i] : (((sK0 @ sK8 @ X1) = $false) | ($true = (sK6 @ X1))) ) | ~spl1_23), 2.12/0.64 inference(avatar_component_clause,[],[f407])). 2.12/0.64 thf(f2802,plain,( 2.12/0.64 spl1_34 | spl1_59 | ~spl1_1 | ~spl1_4 | ~spl1_7), 2.12/0.64 inference(avatar_split_clause,[],[f2782,f335,f324,f313,f1065,f646])). 2.12/0.64 thf(f646,plain,( 2.12/0.64 spl1_34 <=> ! [X0,X1] : (($false = (sK0 @ X1 @ X0)) | ((sK4 @ X0) = $false) | ((sK0 @ X1 @ sK12) = $false))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_34])])). 2.12/0.64 thf(f1065,plain,( 2.12/0.64 spl1_59 <=> ! [X2,X3] : (($true = (sK0 @ sK12 @ X2)) | ((sK0 @ X3 @ sK12) = $false) | ((sK0 @ X3 @ X2) = $false))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_59])])). 2.12/0.64 thf(f335,plain,( 2.12/0.64 spl1_7 <=> ! [X1] : (((sK0 @ sK12 @ X1) = $false) | ((sK4 @ X1) = $false))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_7])])). 2.12/0.64 thf(f2782,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X2 @ X3) = $false) | ($true = (sK0 @ sK12 @ X3)) | ($false = (sK0 @ X1 @ X0)) | ((sK0 @ X2 @ sK12) = $false) | ((sK0 @ X1 @ sK12) = $false) | ((sK4 @ X0) = $false)) ) | (~spl1_1 | ~spl1_4 | ~spl1_7)), 2.12/0.64 inference(trivial_inequality_removal,[],[f2761])). 2.12/0.64 thf(f2761,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = $false) | ((sK4 @ X0) = $false) | ($false = (sK0 @ X1 @ X0)) | ($true = (sK0 @ sK12 @ X3)) | ((sK0 @ X2 @ X3) = $false) | ((sK0 @ X2 @ sK12) = $false) | ((sK0 @ X1 @ sK12) = $false)) ) | (~spl1_1 | ~spl1_4 | ~spl1_7)), 2.12/0.64 inference(superposition,[],[f2707,f336])). 2.12/0.64 thf(f336,plain,( 2.12/0.64 ( ! [X1 : $i] : (((sK0 @ sK12 @ X1) = $false) | ((sK4 @ X1) = $false)) ) | ~spl1_7), 2.12/0.64 inference(avatar_component_clause,[],[f335])). 2.12/0.64 thf(f2800,plain,( 2.12/0.64 spl1_44 | spl1_45 | ~spl1_1 | ~spl1_4 | ~spl1_18), 2.12/0.64 inference(avatar_split_clause,[],[f2790,f384,f324,f313,f814,f811])). 2.12/0.64 thf(f811,plain,( 2.12/0.64 spl1_44 <=> ! [X2,X3] : (((sK0 @ sK11 @ X2) = $true) | ((sK0 @ X3 @ sK11) = $false) | ((sK0 @ X3 @ X2) = $false))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_44])])). 2.12/0.64 thf(f814,plain,( 2.12/0.64 spl1_45 <=> ! [X0,X1] : (((sK0 @ X1 @ sK11) = $false) | ($true = (sK9 @ X0)) | ($false = (sK0 @ X1 @ X0)))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_45])])). 2.12/0.64 thf(f384,plain,( 2.12/0.64 spl1_18 <=> ! [X1] : (($true = (sK9 @ X1)) | ((sK0 @ sK11 @ X1) = $false))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_18])])). 2.12/0.64 thf(f2790,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X2 @ sK11) = $false) | ($false = (sK0 @ X1 @ X0)) | ((sK0 @ X1 @ sK11) = $false) | ($true = (sK9 @ X0)) | ((sK0 @ X2 @ X3) = $false) | ($true = (sK0 @ sK11 @ X3))) ) | (~spl1_1 | ~spl1_4 | ~spl1_18)), 2.12/0.64 inference(trivial_inequality_removal,[],[f2767])). 2.12/0.64 thf(f2767,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X1 @ sK11) = $false) | ($true = (sK9 @ X0)) | ($true = $false) | ((sK0 @ X2 @ X3) = $false) | ((sK0 @ X2 @ sK11) = $false) | ($false = (sK0 @ X1 @ X0)) | ($true = (sK0 @ sK11 @ X3))) ) | (~spl1_1 | ~spl1_4 | ~spl1_18)), 2.12/0.64 inference(superposition,[],[f385,f2707])). 2.12/0.64 thf(f385,plain,( 2.12/0.64 ( ! [X1 : $i] : (((sK0 @ sK11 @ X1) = $false) | ($true = (sK9 @ X1))) ) | ~spl1_18), 2.12/0.64 inference(avatar_component_clause,[],[f384])). 2.12/0.64 thf(f2685,plain,( 2.12/0.64 spl1_44 | spl1_45 | ~spl1_5 | ~spl1_6 | ~spl1_18), 2.12/0.64 inference(avatar_split_clause,[],[f2562,f384,f331,f327,f814,f811])). 2.12/0.64 thf(f327,plain,( 2.12/0.64 spl1_5 <=> ! [X4,X8,X3 : $i > $o,X1] : (((X3 @ (sK20 @ X3 @ X8)) = $false) | ((sK0 @ X1 @ X4) = $false) | ($true = (X3 @ X4)) | ((sK0 @ X1 @ X8) = $false))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_5])])). 2.12/0.64 thf(f331,plain,( 2.12/0.64 spl1_6 <=> ! [X4,X8,X3 : $i > $o,X1] : (($true = (sK0 @ X8 @ (sK20 @ X3 @ X8))) | ((sK0 @ X1 @ X4) = $false) | ($true = (X3 @ X4)) | ((sK0 @ X1 @ X8) = $false))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])). 2.12/0.64 thf(f2562,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK0 @ X1 @ X0)) | ((sK0 @ X2 @ sK11) = $false) | ($true = (sK9 @ X0)) | ((sK0 @ X2 @ X3) = $false) | ($true = (sK0 @ sK11 @ X3)) | ((sK0 @ X1 @ sK11) = $false)) ) | (~spl1_5 | ~spl1_6 | ~spl1_18)), 2.12/0.64 inference(trivial_inequality_removal,[],[f2529])). 2.12/0.64 thf(f2529,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = $false) | ($true = (sK0 @ sK11 @ X3)) | ((sK0 @ X2 @ X3) = $false) | ((sK0 @ X1 @ sK11) = $false) | ($false = (sK0 @ X1 @ X0)) | ($true = (sK9 @ X0)) | ((sK0 @ X2 @ sK11) = $false)) ) | (~spl1_5 | ~spl1_6 | ~spl1_18)), 2.12/0.64 inference(superposition,[],[f2396,f385])). 2.12/0.64 thf(f2396,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = (sK0 @ X0 @ X4)) | ((sK0 @ X3 @ X0) = $false) | ($false = (sK0 @ X1 @ X0)) | ((sK0 @ X1 @ X2) = $false) | ($true = (sK0 @ X0 @ X2)) | ((sK0 @ X3 @ X4) = $false)) ) | (~spl1_5 | ~spl1_6)), 2.12/0.64 inference(trivial_inequality_removal,[],[f2384])). 2.12/0.64 thf(f2384,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((sK0 @ X3 @ X0) = $false) | ((sK0 @ X1 @ X2) = $false) | ($false = (sK0 @ X1 @ X0)) | ((sK0 @ X3 @ X4) = $false) | ($true = $false) | ($true = (sK0 @ X0 @ X4)) | ($true = (sK0 @ X0 @ X2))) ) | (~spl1_5 | ~spl1_6)), 2.12/0.64 inference(superposition,[],[f332,f328])). 2.12/0.64 thf(f328,plain,( 2.12/0.64 ( ! [X3 : $i > $o,X1 : $i,X8 : $i,X4 : $i] : (((X3 @ (sK20 @ X3 @ X8)) = $false) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X1 @ X4) = $false) | ($true = (X3 @ X4))) ) | ~spl1_5), 2.12/0.64 inference(avatar_component_clause,[],[f327])). 2.12/0.64 thf(f332,plain,( 2.12/0.64 ( ! [X3 : $i > $o,X1 : $i,X8 : $i,X4 : $i] : (($true = (sK0 @ X8 @ (sK20 @ X3 @ X8))) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X1 @ X4) = $false) | ($true = (X3 @ X4))) ) | ~spl1_6), 2.12/0.64 inference(avatar_component_clause,[],[f331])). 2.12/0.64 thf(f2673,plain,( 2.12/0.64 spl1_86 | spl1_85 | ~spl1_5 | ~spl1_6 | ~spl1_23), 2.12/0.64 inference(avatar_split_clause,[],[f2655,f407,f331,f327,f1449,f1452])). 2.12/0.64 thf(f2655,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (sK6 @ X0)) | ((sK0 @ X1 @ sK8) = $false) | ($false = (sK0 @ X1 @ X0)) | ((sK0 @ X2 @ X3) = $false) | ($true = (sK0 @ sK8 @ X3)) | ((sK0 @ X2 @ sK8) = $false)) ) | (~spl1_5 | ~spl1_6 | ~spl1_23)), 2.12/0.64 inference(trivial_inequality_removal,[],[f2640])). 2.12/0.64 thf(f2640,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (sK0 @ sK8 @ X3)) | ((sK0 @ X2 @ X3) = $false) | ($true = (sK6 @ X0)) | ($false = (sK0 @ X1 @ X0)) | ((sK0 @ X1 @ sK8) = $false) | ((sK0 @ X2 @ sK8) = $false) | ($true = $false)) ) | (~spl1_5 | ~spl1_6 | ~spl1_23)), 2.12/0.64 inference(superposition,[],[f2396,f408])). 2.12/0.64 thf(f2626,plain,( 2.12/0.64 spl1_34 | spl1_59 | ~spl1_5 | ~spl1_6 | ~spl1_7), 2.12/0.64 inference(avatar_split_clause,[],[f2606,f335,f331,f327,f1065,f646])). 2.12/0.64 thf(f2606,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X1 @ sK12) = $false) | ($true = (sK0 @ sK12 @ X3)) | ($false = (sK0 @ X1 @ X0)) | ((sK0 @ X2 @ X3) = $false) | ((sK0 @ X2 @ sK12) = $false) | ((sK4 @ X0) = $false)) ) | (~spl1_5 | ~spl1_6 | ~spl1_7)), 2.12/0.64 inference(trivial_inequality_removal,[],[f2594])). 2.12/0.64 thf(f2594,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK4 @ X0) = $false) | ((sK0 @ X1 @ sK12) = $false) | ($true = $false) | ($false = (sK0 @ X1 @ X0)) | ((sK0 @ X2 @ X3) = $false) | ((sK0 @ X2 @ sK12) = $false) | ($true = (sK0 @ sK12 @ X3))) ) | (~spl1_5 | ~spl1_6 | ~spl1_7)), 2.12/0.64 inference(superposition,[],[f2396,f336])). 2.12/0.64 thf(f2577,plain,( 2.12/0.64 spl1_32 | spl1_31 | ~spl1_5 | ~spl1_6 | ~spl1_8), 2.12/0.64 inference(avatar_split_clause,[],[f2556,f338,f331,f327,f545,f548])). 2.12/0.64 thf(f548,plain,( 2.12/0.64 spl1_32 <=> ! [X2,X3] : (((sK0 @ X2 @ X3) = $false) | ($true = (sK0 @ sK18 @ X3)) | ((sK0 @ X2 @ sK18) = $false))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_32])])). 2.12/0.64 thf(f545,plain,( 2.12/0.64 spl1_31 <=> ! [X0,X1] : (((sK0 @ X1 @ sK18) = $false) | ($true = (sK16 @ X0)) | ($false = (sK0 @ X1 @ X0)))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_31])])). 2.12/0.64 thf(f338,plain,( 2.12/0.64 spl1_8 <=> ! [X2] : (((sK0 @ sK18 @ X2) = $false) | ($true = (sK16 @ X2)))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])). 2.12/0.64 thf(f2556,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X2 @ sK18) = $false) | ($true = (sK0 @ sK18 @ X3)) | ((sK0 @ X2 @ X3) = $false) | ($true = (sK16 @ X0)) | ((sK0 @ X1 @ sK18) = $false) | ($false = (sK0 @ X1 @ X0))) ) | (~spl1_5 | ~spl1_6 | ~spl1_8)), 2.12/0.64 inference(trivial_inequality_removal,[],[f2531])). 2.12/0.64 thf(f2531,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = $false) | ((sK0 @ X2 @ sK18) = $false) | ($false = (sK0 @ X1 @ X0)) | ((sK0 @ X2 @ X3) = $false) | ((sK0 @ X1 @ sK18) = $false) | ($true = (sK0 @ sK18 @ X3)) | ($true = (sK16 @ X0))) ) | (~spl1_5 | ~spl1_6 | ~spl1_8)), 2.12/0.64 inference(superposition,[],[f2396,f339])). 2.12/0.64 thf(f339,plain,( 2.12/0.64 ( ! [X2 : $i] : (((sK0 @ sK18 @ X2) = $false) | ($true = (sK16 @ X2))) ) | ~spl1_8), 2.12/0.64 inference(avatar_component_clause,[],[f338])). 2.12/0.64 thf(f2575,plain,( 2.12/0.64 spl1_64 | spl1_63 | ~spl1_5 | ~spl1_6 | ~spl1_13), 2.12/0.64 inference(avatar_split_clause,[],[f2565,f361,f331,f327,f1176,f1179])). 2.12/0.64 thf(f2565,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X2 @ X3) = $false) | ($false = (sK0 @ X1 @ X0)) | ((sK0 @ X2 @ sK15) = $false) | ((sK0 @ sK15 @ X3) = $true) | ((sK0 @ X1 @ sK15) = $false) | ($true = (sK13 @ X0))) ) | (~spl1_5 | ~spl1_6 | ~spl1_13)), 2.12/0.64 inference(trivial_inequality_removal,[],[f2539])). 2.12/0.64 thf(f2539,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ sK15 @ X3) = $true) | ((sK0 @ X2 @ X3) = $false) | ($false = (sK0 @ X1 @ X0)) | ((sK0 @ X1 @ sK15) = $false) | ($true = (sK13 @ X0)) | ((sK0 @ X2 @ sK15) = $false) | ($true = $false)) ) | (~spl1_5 | ~spl1_6 | ~spl1_13)), 2.12/0.64 inference(superposition,[],[f362,f2396])). 2.12/0.64 thf(f2321,plain,( 2.12/0.64 spl1_64 | ~spl1_13 | ~spl1_63), 2.12/0.64 inference(avatar_split_clause,[],[f2282,f1176,f361,f1179])). 2.12/0.64 thf(f2282,plain,( 2.12/0.64 ( ! [X0 : $i,X1 : $i] : (($false = (sK0 @ X1 @ X0)) | ((sK0 @ X1 @ sK15) = $false) | ($true = (sK13 @ X0))) ) | (~spl1_13 | ~spl1_63)), 2.12/0.64 inference(trivial_inequality_removal,[],[f2267])). 2.12/0.64 thf(f2267,plain,( 2.12/0.64 ( ! [X0 : $i,X1 : $i] : (($false = (sK0 @ X1 @ X0)) | ((sK0 @ X1 @ sK15) = $false) | ($true = (sK13 @ X0)) | ($true = $false)) ) | (~spl1_13 | ~spl1_63)), 2.12/0.64 inference(superposition,[],[f362,f1177])). 2.12/0.64 thf(f1177,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i] : (((sK0 @ sK15 @ X2) = $true) | ((sK0 @ X3 @ X2) = $false) | ((sK0 @ X3 @ sK15) = $false)) ) | ~spl1_63), 2.12/0.64 inference(avatar_component_clause,[],[f1176])). 2.12/0.64 thf(f2212,plain,( 2.12/0.64 ~spl1_15 | ~spl1_76), 2.12/0.64 inference(avatar_contradiction_clause,[],[f2211])). 2.12/0.64 thf(f2211,plain,( 2.12/0.64 $false | (~spl1_15 | ~spl1_76)), 2.12/0.64 inference(trivial_inequality_removal,[],[f2210])). 2.12/0.64 thf(f2210,plain,( 2.12/0.64 ($true = $false) | (~spl1_15 | ~spl1_76)), 2.12/0.64 inference(backward_demodulation,[],[f1336,f372])). 2.12/0.64 thf(f372,plain,( 2.12/0.64 ((sK13 @ sK14) = $false) | ~spl1_15), 2.12/0.64 inference(avatar_component_clause,[],[f370])). 2.12/0.64 thf(f370,plain,( 2.12/0.64 spl1_15 <=> ((sK13 @ sK14) = $false)), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_15])])). 2.12/0.64 thf(f1336,plain,( 2.12/0.64 ($true = (sK13 @ sK14)) | ~spl1_76), 2.12/0.64 inference(avatar_component_clause,[],[f1334])). 2.12/0.64 thf(f1334,plain,( 2.12/0.64 spl1_76 <=> ($true = (sK13 @ sK14))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_76])])). 2.12/0.64 thf(f2207,plain,( 2.12/0.64 ~spl1_9 | ~spl1_133), 2.12/0.64 inference(avatar_contradiction_clause,[],[f2206])). 2.12/0.64 thf(f2206,plain,( 2.12/0.64 $false | (~spl1_9 | ~spl1_133)), 2.12/0.64 inference(trivial_inequality_removal,[],[f2205])). 2.12/0.64 thf(f2205,plain,( 2.12/0.64 ($true = $false) | (~spl1_9 | ~spl1_133)), 2.12/0.64 inference(backward_demodulation,[],[f344,f2122])). 2.12/0.64 thf(f2122,plain,( 2.12/0.64 ((sK0 @ sK3 @ sK18) = $false) | ~spl1_133), 2.12/0.64 inference(avatar_component_clause,[],[f2120])). 2.12/0.64 thf(f2120,plain,( 2.12/0.64 spl1_133 <=> ((sK0 @ sK3 @ sK18) = $false)), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_133])])). 2.12/0.64 thf(f344,plain,( 2.12/0.64 ($true = (sK0 @ sK3 @ sK18)) | ~spl1_9), 2.12/0.64 inference(avatar_component_clause,[],[f342])). 2.12/0.64 thf(f342,plain,( 2.12/0.64 spl1_9 <=> ($true = (sK0 @ sK3 @ sK18))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_9])])). 2.12/0.64 thf(f2203,plain,( 2.12/0.64 spl1_133 | ~spl1_10 | ~spl1_11 | ~spl1_31), 2.12/0.64 inference(avatar_split_clause,[],[f2202,f545,f352,f347,f2120])). 2.12/0.64 thf(f347,plain,( 2.12/0.64 spl1_10 <=> ((sK16 @ sK17) = $false)), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_10])])). 2.12/0.64 thf(f352,plain,( 2.12/0.64 spl1_11 <=> ((sK0 @ sK3 @ sK17) = $true)), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_11])])). 2.12/0.64 thf(f2202,plain,( 2.12/0.64 ((sK0 @ sK3 @ sK18) = $false) | (~spl1_10 | ~spl1_11 | ~spl1_31)), 2.12/0.64 inference(trivial_inequality_removal,[],[f2201])). 2.12/0.64 thf(f2201,plain,( 2.12/0.64 ((sK0 @ sK3 @ sK18) = $false) | ($true = $false) | (~spl1_10 | ~spl1_11 | ~spl1_31)), 2.12/0.64 inference(forward_demodulation,[],[f2075,f349])). 2.12/0.64 thf(f349,plain,( 2.12/0.64 ((sK16 @ sK17) = $false) | ~spl1_10), 2.12/0.64 inference(avatar_component_clause,[],[f347])). 2.12/0.64 thf(f2075,plain,( 2.12/0.64 ((sK0 @ sK3 @ sK18) = $false) | ($true = (sK16 @ sK17)) | (~spl1_11 | ~spl1_31)), 2.12/0.64 inference(trivial_inequality_removal,[],[f2047])). 2.12/0.64 thf(f2047,plain,( 2.12/0.64 ((sK0 @ sK3 @ sK18) = $false) | ($true = $false) | ($true = (sK16 @ sK17)) | (~spl1_11 | ~spl1_31)), 2.12/0.64 inference(superposition,[],[f546,f354])). 2.12/0.64 thf(f354,plain,( 2.12/0.64 ((sK0 @ sK3 @ sK17) = $true) | ~spl1_11), 2.12/0.64 inference(avatar_component_clause,[],[f352])). 2.12/0.64 thf(f546,plain,( 2.12/0.64 ( ! [X0 : $i,X1 : $i] : (($false = (sK0 @ X1 @ X0)) | ((sK0 @ X1 @ sK18) = $false) | ($true = (sK16 @ X0))) ) | ~spl1_31), 2.12/0.64 inference(avatar_component_clause,[],[f545])). 2.12/0.64 thf(f2026,plain,( 2.12/0.64 spl1_31 | ~spl1_8 | ~spl1_32), 2.12/0.64 inference(avatar_split_clause,[],[f1980,f548,f338,f545])). 2.12/0.64 thf(f1980,plain,( 2.12/0.64 ( ! [X0 : $i,X1 : $i] : (($true = (sK16 @ X0)) | ((sK0 @ X1 @ sK18) = $false) | ($false = (sK0 @ X1 @ X0))) ) | (~spl1_8 | ~spl1_32)), 2.12/0.64 inference(trivial_inequality_removal,[],[f1956])). 2.12/0.64 thf(f1956,plain,( 2.12/0.64 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ($true = (sK16 @ X0)) | ((sK0 @ X1 @ sK18) = $false) | ($false = (sK0 @ X1 @ X0))) ) | (~spl1_8 | ~spl1_32)), 2.12/0.64 inference(superposition,[],[f549,f339])). 2.12/0.64 thf(f549,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i] : (($true = (sK0 @ sK18 @ X3)) | ((sK0 @ X2 @ X3) = $false) | ((sK0 @ X2 @ sK18) = $false)) ) | ~spl1_32), 2.12/0.64 inference(avatar_component_clause,[],[f548])). 2.12/0.64 thf(f1914,plain,( 2.12/0.64 ~spl1_19 | ~spl1_108), 2.12/0.64 inference(avatar_contradiction_clause,[],[f1913])). 2.12/0.64 thf(f1913,plain,( 2.12/0.64 $false | (~spl1_19 | ~spl1_108)), 2.12/0.64 inference(trivial_inequality_removal,[],[f1912])). 2.12/0.64 thf(f1912,plain,( 2.12/0.64 ($true = $false) | (~spl1_19 | ~spl1_108)), 2.12/0.64 inference(backward_demodulation,[],[f390,f1825])). 2.12/0.64 thf(f1825,plain,( 2.12/0.64 ((sK0 @ sK3 @ sK11) = $false) | ~spl1_108), 2.12/0.64 inference(avatar_component_clause,[],[f1823])). 2.12/0.64 thf(f1823,plain,( 2.12/0.64 spl1_108 <=> ((sK0 @ sK3 @ sK11) = $false)), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_108])])). 2.12/0.64 thf(f390,plain,( 2.12/0.64 ($true = (sK0 @ sK3 @ sK11)) | ~spl1_19), 2.12/0.64 inference(avatar_component_clause,[],[f388])). 2.12/0.64 thf(f388,plain,( 2.12/0.64 spl1_19 <=> ($true = (sK0 @ sK3 @ sK11))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_19])])). 2.12/0.64 thf(f1871,plain,( 2.12/0.64 spl1_108 | ~spl1_20 | ~spl1_21 | ~spl1_45), 2.12/0.64 inference(avatar_split_clause,[],[f1870,f814,f398,f393,f1823])). 2.12/0.64 thf(f393,plain,( 2.12/0.64 spl1_20 <=> ((sK9 @ sK10) = $false)), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_20])])). 2.12/0.64 thf(f398,plain,( 2.12/0.64 spl1_21 <=> ((sK0 @ sK3 @ sK10) = $true)), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_21])])). 2.12/0.64 thf(f1870,plain,( 2.12/0.64 ((sK0 @ sK3 @ sK11) = $false) | (~spl1_20 | ~spl1_21 | ~spl1_45)), 2.12/0.64 inference(trivial_inequality_removal,[],[f1869])). 2.12/0.64 thf(f1869,plain,( 2.12/0.64 ($true = $false) | ((sK0 @ sK3 @ sK11) = $false) | (~spl1_20 | ~spl1_21 | ~spl1_45)), 2.12/0.64 inference(forward_demodulation,[],[f1808,f395])). 2.12/0.64 thf(f395,plain,( 2.12/0.64 ((sK9 @ sK10) = $false) | ~spl1_20), 2.12/0.64 inference(avatar_component_clause,[],[f393])). 2.12/0.64 thf(f1808,plain,( 2.12/0.64 ((sK0 @ sK3 @ sK11) = $false) | ($true = (sK9 @ sK10)) | (~spl1_21 | ~spl1_45)), 2.12/0.64 inference(trivial_inequality_removal,[],[f1772])). 2.12/0.64 thf(f1772,plain,( 2.12/0.64 ($true = (sK9 @ sK10)) | ($true = $false) | ((sK0 @ sK3 @ sK11) = $false) | (~spl1_21 | ~spl1_45)), 2.12/0.64 inference(superposition,[],[f400,f815])). 2.12/0.64 thf(f815,plain,( 2.12/0.64 ( ! [X0 : $i,X1 : $i] : (($false = (sK0 @ X1 @ X0)) | ($true = (sK9 @ X0)) | ((sK0 @ X1 @ sK11) = $false)) ) | ~spl1_45), 2.12/0.64 inference(avatar_component_clause,[],[f814])). 2.12/0.64 thf(f400,plain,( 2.12/0.64 ((sK0 @ sK3 @ sK10) = $true) | ~spl1_21), 2.12/0.64 inference(avatar_component_clause,[],[f398])). 2.12/0.64 thf(f1699,plain,( 2.12/0.64 spl1_86 | ~spl1_23 | ~spl1_85), 2.12/0.64 inference(avatar_split_clause,[],[f1658,f1449,f407,f1452])). 2.12/0.64 thf(f1658,plain,( 2.12/0.64 ( ! [X0 : $i,X1 : $i] : (($false = (sK0 @ X1 @ X0)) | ((sK0 @ X1 @ sK8) = $false) | ($true = (sK6 @ X0))) ) | (~spl1_23 | ~spl1_85)), 2.12/0.64 inference(trivial_inequality_removal,[],[f1647])). 2.12/0.64 thf(f1647,plain,( 2.12/0.64 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ((sK0 @ X1 @ sK8) = $false) | ($false = (sK0 @ X1 @ X0)) | ($true = (sK6 @ X0))) ) | (~spl1_23 | ~spl1_85)), 2.12/0.64 inference(superposition,[],[f408,f1450])). 2.12/0.64 thf(f1450,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i] : (($true = (sK0 @ sK8 @ X2)) | ((sK0 @ X3 @ sK8) = $false) | ((sK0 @ X3 @ X2) = $false)) ) | ~spl1_85), 2.12/0.64 inference(avatar_component_clause,[],[f1449])). 2.12/0.64 thf(f1635,plain,( 2.12/0.64 ~spl1_24 | ~spl1_90), 2.12/0.64 inference(avatar_contradiction_clause,[],[f1634])). 2.12/0.64 thf(f1634,plain,( 2.12/0.64 $false | (~spl1_24 | ~spl1_90)), 2.12/0.64 inference(trivial_inequality_removal,[],[f1633])). 2.12/0.64 thf(f1633,plain,( 2.12/0.64 ($true = $false) | (~spl1_24 | ~spl1_90)), 2.12/0.64 inference(backward_demodulation,[],[f413,f1565])). 2.12/0.64 thf(f1565,plain,( 2.12/0.64 ((sK0 @ sK3 @ sK8) = $false) | ~spl1_90), 2.12/0.64 inference(avatar_component_clause,[],[f1563])). 2.12/0.64 thf(f1563,plain,( 2.12/0.64 spl1_90 <=> ((sK0 @ sK3 @ sK8) = $false)), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_90])])). 2.12/0.64 thf(f413,plain,( 2.12/0.64 ($true = (sK0 @ sK3 @ sK8)) | ~spl1_24), 2.12/0.64 inference(avatar_component_clause,[],[f411])). 2.12/0.64 thf(f411,plain,( 2.12/0.64 spl1_24 <=> ($true = (sK0 @ sK3 @ sK8))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_24])])). 2.12/0.64 thf(f1593,plain,( 2.12/0.64 spl1_90 | ~spl1_25 | ~spl1_26 | ~spl1_86), 2.12/0.64 inference(avatar_split_clause,[],[f1592,f1452,f421,f416,f1563])). 2.12/0.64 thf(f416,plain,( 2.12/0.64 spl1_25 <=> ((sK6 @ sK7) = $false)), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_25])])). 2.12/0.64 thf(f421,plain,( 2.12/0.64 spl1_26 <=> ($true = (sK0 @ sK3 @ sK7))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_26])])). 2.12/0.64 thf(f1592,plain,( 2.12/0.64 ((sK0 @ sK3 @ sK8) = $false) | (~spl1_25 | ~spl1_26 | ~spl1_86)), 2.12/0.64 inference(trivial_inequality_removal,[],[f1591])). 2.12/0.64 thf(f1591,plain,( 2.12/0.64 ((sK0 @ sK3 @ sK8) = $false) | ($true = $false) | (~spl1_25 | ~spl1_26 | ~spl1_86)), 2.12/0.64 inference(forward_demodulation,[],[f1547,f418])). 2.12/0.64 thf(f418,plain,( 2.12/0.64 ((sK6 @ sK7) = $false) | ~spl1_25), 2.12/0.64 inference(avatar_component_clause,[],[f416])). 2.12/0.64 thf(f1547,plain,( 2.12/0.64 ($true = (sK6 @ sK7)) | ((sK0 @ sK3 @ sK8) = $false) | (~spl1_26 | ~spl1_86)), 2.12/0.64 inference(trivial_inequality_removal,[],[f1510])). 2.12/0.64 thf(f1510,plain,( 2.12/0.64 ($true = (sK6 @ sK7)) | ($true = $false) | ((sK0 @ sK3 @ sK8) = $false) | (~spl1_26 | ~spl1_86)), 2.12/0.64 inference(superposition,[],[f423,f1453])). 2.12/0.64 thf(f1453,plain,( 2.12/0.64 ( ! [X0 : $i,X1 : $i] : (($false = (sK0 @ X1 @ X0)) | ($true = (sK6 @ X0)) | ((sK0 @ X1 @ sK8) = $false)) ) | ~spl1_86), 2.12/0.64 inference(avatar_component_clause,[],[f1452])). 2.12/0.64 thf(f423,plain,( 2.12/0.64 ($true = (sK0 @ sK3 @ sK7)) | ~spl1_26), 2.12/0.64 inference(avatar_component_clause,[],[f421])). 2.12/0.64 thf(f1455,plain,( 2.12/0.64 spl1_86 | spl1_85 | ~spl1_2 | ~spl1_3 | ~spl1_23), 2.12/0.64 inference(avatar_split_clause,[],[f1425,f407,f320,f316,f1449,f1452])). 2.12/0.64 thf(f316,plain,( 2.12/0.64 spl1_2 <=> ! [X4,X8,X3 : $i > $o,X1] : (($true = (X3 @ X4)) | ((sK0 @ X1 @ X4) = $false) | ((X3 @ (sK21 @ X3 @ X8)) = $false) | ((sK0 @ X1 @ X8) = $false))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])). 2.12/0.64 thf(f320,plain,( 2.12/0.64 spl1_3 <=> ! [X4,X8,X3 : $i > $o,X1] : (((sK0 @ X1 @ X8) = $false) | ((sK0 @ X1 @ X4) = $false) | ($true = (X3 @ X4)) | ($true = (sK0 @ X8 @ (sK21 @ X3 @ X8))))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])). 2.12/0.64 thf(f1425,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X1 @ sK8) = $false) | ($true = (sK0 @ sK8 @ X2)) | ((sK0 @ X3 @ X2) = $false) | ($true = (sK6 @ X0)) | ((sK0 @ X3 @ sK8) = $false) | ($false = (sK0 @ X1 @ X0))) ) | (~spl1_2 | ~spl1_3 | ~spl1_23)), 2.12/0.64 inference(trivial_inequality_removal,[],[f1410])). 2.12/0.64 thf(f1410,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (sK0 @ sK8 @ X2)) | ((sK0 @ X1 @ sK8) = $false) | ((sK0 @ X3 @ X2) = $false) | ((sK0 @ X3 @ sK8) = $false) | ($false = (sK0 @ X1 @ X0)) | ($true = (sK6 @ X0)) | ($true = $false)) ) | (~spl1_2 | ~spl1_3 | ~spl1_23)), 2.12/0.64 inference(superposition,[],[f408,f636])). 2.12/0.64 thf(f636,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = (sK0 @ X0 @ X4)) | ((sK0 @ X3 @ X4) = $false) | ($true = (sK0 @ X0 @ X1)) | ((sK0 @ X3 @ X0) = $false) | ((sK0 @ X2 @ X1) = $false) | ($false = (sK0 @ X2 @ X0))) ) | (~spl1_2 | ~spl1_3)), 2.12/0.64 inference(trivial_inequality_removal,[],[f624])). 2.12/0.64 thf(f624,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = (sK0 @ X0 @ X1)) | ($false = (sK0 @ X2 @ X0)) | ((sK0 @ X3 @ X4) = $false) | ((sK0 @ X3 @ X0) = $false) | ($true = (sK0 @ X0 @ X4)) | ((sK0 @ X2 @ X1) = $false) | ($true = $false)) ) | (~spl1_2 | ~spl1_3)), 2.12/0.64 inference(superposition,[],[f321,f317])). 2.12/0.64 thf(f317,plain,( 2.12/0.64 ( ! [X3 : $i > $o,X1 : $i,X8 : $i,X4 : $i] : (((X3 @ (sK21 @ X3 @ X8)) = $false) | ((sK0 @ X1 @ X8) = $false) | ($true = (X3 @ X4)) | ((sK0 @ X1 @ X4) = $false)) ) | ~spl1_2), 2.12/0.64 inference(avatar_component_clause,[],[f316])). 2.12/0.64 thf(f321,plain,( 2.12/0.64 ( ! [X3 : $i > $o,X1 : $i,X8 : $i,X4 : $i] : (($true = (sK0 @ X8 @ (sK21 @ X3 @ X8))) | ($true = (X3 @ X4)) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X1 @ X4) = $false)) ) | ~spl1_3), 2.12/0.64 inference(avatar_component_clause,[],[f320])). 2.12/0.64 thf(f1341,plain,( 2.12/0.64 spl1_76 | spl1_67 | ~spl1_16 | ~spl1_64), 2.12/0.64 inference(avatar_split_clause,[],[f1263,f1179,f375,f1277,f1334])). 2.12/0.64 thf(f1277,plain,( 2.12/0.64 spl1_67 <=> ((sK0 @ sK3 @ sK15) = $false)), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_67])])). 2.12/0.64 thf(f375,plain,( 2.12/0.64 spl1_16 <=> ($true = (sK0 @ sK3 @ sK14))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_16])])). 2.12/0.64 thf(f1263,plain,( 2.12/0.64 ((sK0 @ sK3 @ sK15) = $false) | ($true = (sK13 @ sK14)) | (~spl1_16 | ~spl1_64)), 2.12/0.64 inference(trivial_inequality_removal,[],[f1237])). 2.12/0.64 thf(f1237,plain,( 2.12/0.64 ($true = (sK13 @ sK14)) | ($true = $false) | ((sK0 @ sK3 @ sK15) = $false) | (~spl1_16 | ~spl1_64)), 2.12/0.64 inference(superposition,[],[f377,f1180])). 2.12/0.64 thf(f1180,plain,( 2.12/0.64 ( ! [X0 : $i,X1 : $i] : (($false = (sK0 @ X1 @ X0)) | ((sK0 @ X1 @ sK15) = $false) | ($true = (sK13 @ X0))) ) | ~spl1_64), 2.12/0.64 inference(avatar_component_clause,[],[f1179])). 2.12/0.64 thf(f377,plain,( 2.12/0.64 ($true = (sK0 @ sK3 @ sK14)) | ~spl1_16), 2.12/0.64 inference(avatar_component_clause,[],[f375])). 2.12/0.64 thf(f1332,plain,( 2.12/0.64 ~spl1_14 | ~spl1_67), 2.12/0.64 inference(avatar_contradiction_clause,[],[f1331])). 2.12/0.64 thf(f1331,plain,( 2.12/0.64 $false | (~spl1_14 | ~spl1_67)), 2.12/0.64 inference(trivial_inequality_removal,[],[f1330])). 2.12/0.64 thf(f1330,plain,( 2.12/0.64 ($true = $false) | (~spl1_14 | ~spl1_67)), 2.12/0.64 inference(backward_demodulation,[],[f367,f1279])). 2.12/0.64 thf(f1279,plain,( 2.12/0.64 ((sK0 @ sK3 @ sK15) = $false) | ~spl1_67), 2.12/0.64 inference(avatar_component_clause,[],[f1277])). 2.12/0.64 thf(f367,plain,( 2.12/0.64 ((sK0 @ sK3 @ sK15) = $true) | ~spl1_14), 2.12/0.64 inference(avatar_component_clause,[],[f365])). 2.12/0.64 thf(f365,plain,( 2.12/0.64 spl1_14 <=> ((sK0 @ sK3 @ sK15) = $true)), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_14])])). 2.12/0.64 thf(f1191,plain,( 2.12/0.64 spl1_63 | spl1_64 | ~spl1_2 | ~spl1_3 | ~spl1_13), 2.12/0.64 inference(avatar_split_clause,[],[f1161,f361,f320,f316,f1179,f1176])). 2.12/0.64 thf(f1161,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X3 @ X2) = $false) | ((sK0 @ X1 @ sK15) = $false) | ((sK0 @ X3 @ sK15) = $false) | ($true = (sK13 @ X0)) | ((sK0 @ sK15 @ X2) = $true) | ($false = (sK0 @ X1 @ X0))) ) | (~spl1_2 | ~spl1_3 | ~spl1_13)), 2.12/0.64 inference(trivial_inequality_removal,[],[f1154])). 2.12/0.64 thf(f1154,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ sK15 @ X2) = $true) | ($true = $false) | ((sK0 @ X1 @ sK15) = $false) | ((sK0 @ X3 @ sK15) = $false) | ((sK0 @ X3 @ X2) = $false) | ($true = (sK13 @ X0)) | ($false = (sK0 @ X1 @ X0))) ) | (~spl1_2 | ~spl1_3 | ~spl1_13)), 2.12/0.64 inference(superposition,[],[f636,f362])). 2.12/0.64 thf(f1116,plain,( 2.12/0.64 spl1_34 | ~spl1_7 | ~spl1_59), 2.12/0.64 inference(avatar_split_clause,[],[f1100,f1065,f335,f646])). 2.12/0.64 thf(f1100,plain,( 2.12/0.64 ( ! [X0 : $i,X1 : $i] : (((sK0 @ X1 @ sK12) = $false) | ($false = (sK0 @ X1 @ X0)) | ((sK4 @ X0) = $false)) ) | (~spl1_7 | ~spl1_59)), 2.12/0.64 inference(trivial_inequality_removal,[],[f1087])). 2.12/0.64 thf(f1087,plain,( 2.12/0.64 ( ! [X0 : $i,X1 : $i] : (((sK0 @ X1 @ sK12) = $false) | ($true = $false) | ($false = (sK0 @ X1 @ X0)) | ((sK4 @ X0) = $false)) ) | (~spl1_7 | ~spl1_59)), 2.12/0.64 inference(superposition,[],[f336,f1066])). 2.12/0.64 thf(f1066,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i] : (($true = (sK0 @ sK12 @ X2)) | ((sK0 @ X3 @ X2) = $false) | ((sK0 @ X3 @ sK12) = $false)) ) | ~spl1_59), 2.12/0.64 inference(avatar_component_clause,[],[f1065])). 2.12/0.64 thf(f1068,plain,( 2.12/0.64 spl1_34 | spl1_59 | ~spl1_2 | ~spl1_3 | ~spl1_7), 2.12/0.64 inference(avatar_split_clause,[],[f753,f335,f320,f316,f1065,f646])). 2.12/0.64 thf(f753,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X3 @ X2) = $false) | ($true = (sK0 @ sK12 @ X2)) | ((sK0 @ X1 @ sK12) = $false) | ((sK0 @ X3 @ sK12) = $false) | ($false = (sK0 @ X1 @ X0)) | ((sK4 @ X0) = $false)) ) | (~spl1_2 | ~spl1_3 | ~spl1_7)), 2.12/0.64 inference(trivial_inequality_removal,[],[f738])). 2.12/0.64 thf(f738,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK0 @ X1 @ X0)) | ((sK4 @ X0) = $false) | ($true = (sK0 @ sK12 @ X2)) | ($true = $false) | ((sK0 @ X1 @ sK12) = $false) | ((sK0 @ X3 @ sK12) = $false) | ((sK0 @ X3 @ X2) = $false)) ) | (~spl1_2 | ~spl1_3 | ~spl1_7)), 2.12/0.64 inference(superposition,[],[f636,f336])). 2.12/0.64 thf(f1061,plain,( 2.12/0.64 spl1_45 | ~spl1_18 | ~spl1_44), 2.12/0.64 inference(avatar_split_clause,[],[f1029,f811,f384,f814])). 2.12/0.64 thf(f1029,plain,( 2.12/0.64 ( ! [X0 : $i,X1 : $i] : (($true = (sK9 @ X0)) | ($false = (sK0 @ X1 @ X0)) | ((sK0 @ X1 @ sK11) = $false)) ) | (~spl1_18 | ~spl1_44)), 2.12/0.64 inference(trivial_inequality_removal,[],[f1008])). 2.12/0.64 thf(f1008,plain,( 2.12/0.64 ( ! [X0 : $i,X1 : $i] : (($true = (sK9 @ X0)) | ((sK0 @ X1 @ sK11) = $false) | ($false = (sK0 @ X1 @ X0)) | ($true = $false)) ) | (~spl1_18 | ~spl1_44)), 2.12/0.64 inference(superposition,[],[f812,f385])). 2.12/0.64 thf(f812,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i] : (((sK0 @ sK11 @ X2) = $true) | ((sK0 @ X3 @ X2) = $false) | ((sK0 @ X3 @ sK11) = $false)) ) | ~spl1_44), 2.12/0.64 inference(avatar_component_clause,[],[f811])). 2.12/0.64 thf(f825,plain,( 2.12/0.64 spl1_45 | spl1_44 | ~spl1_2 | ~spl1_3 | ~spl1_18), 2.12/0.64 inference(avatar_split_clause,[],[f800,f384,f320,f316,f811,f814])). 2.12/0.64 thf(f800,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ sK11 @ X2) = $true) | ((sK0 @ X3 @ X2) = $false) | ((sK0 @ X1 @ sK11) = $false) | ($false = (sK0 @ X1 @ X0)) | ((sK0 @ X3 @ sK11) = $false) | ($true = (sK9 @ X0))) ) | (~spl1_2 | ~spl1_3 | ~spl1_18)), 2.12/0.64 inference(trivial_inequality_removal,[],[f793])). 2.12/0.64 thf(f793,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = $false) | ((sK0 @ sK11 @ X2) = $true) | ($false = (sK0 @ X1 @ X0)) | ((sK0 @ X3 @ sK11) = $false) | ($true = (sK9 @ X0)) | ((sK0 @ X3 @ X2) = $false) | ((sK0 @ X1 @ sK11) = $false)) ) | (~spl1_2 | ~spl1_3 | ~spl1_18)), 2.12/0.64 inference(superposition,[],[f636,f385])). 2.12/0.64 thf(f723,plain,( 2.12/0.64 ~spl1_12 | ~spl1_17 | ~spl1_22 | ~spl1_34), 2.12/0.64 inference(avatar_contradiction_clause,[],[f722])). 2.12/0.64 thf(f722,plain,( 2.12/0.64 $false | (~spl1_12 | ~spl1_17 | ~spl1_22 | ~spl1_34)), 2.12/0.64 inference(trivial_inequality_removal,[],[f721])). 2.12/0.64 thf(f721,plain,( 2.12/0.64 ($true = $false) | (~spl1_12 | ~spl1_17 | ~spl1_22 | ~spl1_34)), 2.12/0.64 inference(backward_demodulation,[],[f359,f720])). 2.12/0.64 thf(f720,plain,( 2.12/0.64 ($false = (sK0 @ sK2 @ sK12)) | (~spl1_17 | ~spl1_22 | ~spl1_34)), 2.12/0.64 inference(trivial_inequality_removal,[],[f719])). 2.12/0.64 thf(f719,plain,( 2.12/0.64 ($false = (sK0 @ sK2 @ sK12)) | ($true = $false) | (~spl1_17 | ~spl1_22 | ~spl1_34)), 2.12/0.64 inference(forward_demodulation,[],[f690,f382])). 2.12/0.64 thf(f382,plain,( 2.12/0.64 ($true = (sK4 @ sK5)) | ~spl1_17), 2.12/0.64 inference(avatar_component_clause,[],[f380])). 2.12/0.64 thf(f380,plain,( 2.12/0.64 spl1_17 <=> ($true = (sK4 @ sK5))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_17])])). 2.12/0.64 thf(f690,plain,( 2.12/0.64 ($false = (sK0 @ sK2 @ sK12)) | ((sK4 @ sK5) = $false) | (~spl1_22 | ~spl1_34)), 2.12/0.64 inference(trivial_inequality_removal,[],[f663])). 2.12/0.64 thf(f663,plain,( 2.12/0.64 ($true = $false) | ($false = (sK0 @ sK2 @ sK12)) | ((sK4 @ sK5) = $false) | (~spl1_22 | ~spl1_34)), 2.12/0.64 inference(superposition,[],[f647,f405])). 2.12/0.64 thf(f405,plain,( 2.12/0.64 ($true = (sK0 @ sK2 @ sK5)) | ~spl1_22), 2.12/0.64 inference(avatar_component_clause,[],[f403])). 2.12/0.64 thf(f403,plain,( 2.12/0.64 spl1_22 <=> ($true = (sK0 @ sK2 @ sK5))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_22])])). 2.12/0.64 thf(f647,plain,( 2.12/0.64 ( ! [X0 : $i,X1 : $i] : (($false = (sK0 @ X1 @ X0)) | ((sK4 @ X0) = $false) | ((sK0 @ X1 @ sK12) = $false)) ) | ~spl1_34), 2.12/0.64 inference(avatar_component_clause,[],[f646])). 2.12/0.64 thf(f359,plain,( 2.12/0.64 ($true = (sK0 @ sK2 @ sK12)) | ~spl1_12), 2.12/0.64 inference(avatar_component_clause,[],[f357])). 2.12/0.64 thf(f357,plain,( 2.12/0.64 spl1_12 <=> ($true = (sK0 @ sK2 @ sK12))), 2.12/0.64 introduced(avatar_definition,[new_symbols(naming,[spl1_12])])). 2.12/0.64 thf(f610,plain,( 2.12/0.64 spl1_31 | spl1_31 | ~spl1_1 | ~spl1_4 | ~spl1_8), 2.12/0.64 inference(avatar_split_clause,[],[f588,f338,f324,f313,f545,f545])). 2.12/0.64 thf(f588,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (sK16 @ X3)) | ((sK0 @ X2 @ sK18) = $false) | ((sK0 @ X0 @ X1) = $false) | ((sK0 @ X0 @ sK18) = $false) | ($true = (sK16 @ X1)) | ((sK0 @ X2 @ X3) = $false)) ) | (~spl1_1 | ~spl1_4 | ~spl1_8)), 2.12/0.64 inference(not_proxy_clausification,[],[f587])). 2.12/0.64 thf(f587,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X0 @ X1) = $false) | ((sK0 @ X0 @ sK18) = $false) | ((~ (sK16 @ X1)) = $false) | ((sK0 @ X2 @ sK18) = $false) | ($true = (sK16 @ X3)) | ((sK0 @ X2 @ X3) = $false)) ) | (~spl1_1 | ~spl1_4 | ~spl1_8)), 2.12/0.64 inference(beta_eta_normalization,[],[f586])). 2.12/0.64 thf(f586,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X2 @ sK18) = $false) | ((sK0 @ X2 @ X3) = $false) | ((sK0 @ X0 @ X1) = $false) | ((sK0 @ X0 @ sK18) = $false) | (((^[Y0 : $i]: (~ (sK16 @ Y0))) @ X1) = $false) | ($true = (sK16 @ X3))) ) | (~spl1_1 | ~spl1_4 | ~spl1_8)), 2.12/0.64 inference(trivial_inequality_removal,[],[f583])). 2.12/0.64 thf(f583,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X0 @ X1) = $false) | (((^[Y0 : $i]: (~ (sK16 @ Y0))) @ X1) = $false) | ((sK0 @ X2 @ sK18) = $false) | ((sK0 @ X2 @ X3) = $false) | ($true = $false) | ((sK0 @ X0 @ sK18) = $false) | ($true = (sK16 @ X3))) ) | (~spl1_1 | ~spl1_4 | ~spl1_8)), 2.12/0.64 inference(superposition,[],[f526,f565])). 2.12/0.64 thf(f565,plain,( 2.12/0.64 ( ! [X2 : $i,X10 : $i > $o,X6 : $i,X7 : $i] : (((X10 @ (sK19 @ (^[Y0 : $i]: (~ (X10 @ Y0))) @ X6)) = $false) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X2 @ X7) = $false) | ($true = (X10 @ X7))) ) | ~spl1_1), 2.12/0.64 inference(not_proxy_clausification,[],[f564])). 2.12/0.64 thf(f564,plain,( 2.12/0.64 ( ! [X2 : $i,X10 : $i > $o,X6 : $i,X7 : $i] : (($true = (X10 @ X7)) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X2 @ X7) = $false) | ($true = (~ (X10 @ (sK19 @ (^[Y0 : $i]: (~ (X10 @ Y0))) @ X6))))) ) | ~spl1_1), 2.12/0.64 inference(not_proxy_clausification,[],[f563])). 2.12/0.64 thf(f563,plain,( 2.12/0.64 ( ! [X2 : $i,X10 : $i > $o,X6 : $i,X7 : $i] : (((~ (X10 @ X7)) = $false) | ($true = (~ (X10 @ (sK19 @ (^[Y0 : $i]: (~ (X10 @ Y0))) @ X6)))) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X2 @ X7) = $false)) ) | ~spl1_1), 2.12/0.64 inference(beta_eta_normalization,[],[f556])). 2.12/0.64 thf(f556,plain,( 2.12/0.64 ( ! [X2 : $i,X10 : $i > $o,X6 : $i,X7 : $i] : (((sK0 @ X2 @ X6) = $false) | ($true = ((^[Y0 : $i]: (~ (X10 @ Y0))) @ (sK19 @ (^[Y0 : $i]: (~ (X10 @ Y0))) @ X6))) | ((sK0 @ X2 @ X7) = $false) | (((^[Y0 : $i]: (~ (X10 @ Y0))) @ X7) = $false)) ) | ~spl1_1), 2.12/0.64 inference(primitive_instantiation,[],[f314])). 2.12/0.64 thf(f526,plain,( 2.12/0.64 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (sK16 @ (sK19 @ X0 @ sK18))) | ((sK0 @ X2 @ X1) = $false) | ((X0 @ X1) = $false) | ((sK0 @ X2 @ sK18) = $false)) ) | (~spl1_4 | ~spl1_8)), 2.12/0.64 inference(trivial_inequality_removal,[],[f515])). 2.12/0.64 thf(f515,plain,( 2.12/0.64 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK0 @ X2 @ X1) = $false) | ($true = $false) | ($true = (sK16 @ (sK19 @ X0 @ sK18))) | ((sK0 @ X2 @ sK18) = $false) | ((X0 @ X1) = $false)) ) | (~spl1_4 | ~spl1_8)), 2.12/0.64 inference(superposition,[],[f339,f325])). 2.12/0.64 thf(f551,plain,( 2.12/0.64 spl1_31 | spl1_32 | ~spl1_2 | ~spl1_3 | ~spl1_8), 2.12/0.64 inference(avatar_split_clause,[],[f528,f338,f320,f316,f548,f545])). 2.12/0.64 thf(f528,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X2 @ X3) = $false) | ($false = (sK0 @ X1 @ X0)) | ($true = (sK0 @ sK18 @ X3)) | ((sK0 @ X2 @ sK18) = $false) | ((sK0 @ X1 @ sK18) = $false) | ($true = (sK16 @ X0))) ) | (~spl1_2 | ~spl1_3 | ~spl1_8)), 2.12/0.64 inference(trivial_inequality_removal,[],[f519])). 2.12/0.64 thf(f519,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (sK0 @ sK18 @ X3)) | ((sK0 @ X2 @ sK18) = $false) | ($false = (sK0 @ X1 @ X0)) | ((sK0 @ X2 @ X3) = $false) | ((sK0 @ X1 @ sK18) = $false) | ($true = (sK16 @ X0)) | ($true = $false)) ) | (~spl1_2 | ~spl1_3 | ~spl1_8)), 2.12/0.64 inference(superposition,[],[f443,f339])). 2.12/0.64 thf(f443,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = (sK0 @ X0 @ X4)) | ((sK0 @ X3 @ X4) = $false) | ((sK0 @ X3 @ X0) = $false) | ((sK0 @ X1 @ X2) = $false) | ($false = (sK0 @ X1 @ X0)) | ($true = (sK0 @ X0 @ X2))) ) | (~spl1_2 | ~spl1_3)), 2.12/0.64 inference(trivial_inequality_removal,[],[f438])). 2.12/0.64 thf(f438,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = (sK0 @ X1 @ X0)) | ($true = (sK0 @ X0 @ X2)) | ($true = (sK0 @ X0 @ X4)) | ($true = $false) | ((sK0 @ X1 @ X2) = $false) | ((sK0 @ X3 @ X4) = $false) | ((sK0 @ X3 @ X0) = $false)) ) | (~spl1_2 | ~spl1_3)), 2.12/0.64 inference(superposition,[],[f317,f321])). 2.12/0.64 thf(f424,plain,( 2.12/0.64 spl1_22 | spl1_26), 2.12/0.64 inference(avatar_split_clause,[],[f166,f421,f403])). 2.12/0.64 thf(f166,plain,( 2.12/0.64 ($true = (sK0 @ sK2 @ sK5)) | ($true = (sK0 @ sK3 @ sK7))), 2.12/0.64 inference(not_proxy_clausification,[],[f165])). 2.12/0.64 thf(f165,plain,( 2.12/0.64 ((~ (sK0 @ sK3 @ sK7)) = $false) | ($true = (sK0 @ sK2 @ sK5))), 2.12/0.64 inference(binary_proxy_clausification,[],[f163])). 2.12/0.64 thf(f163,plain,( 2.12/0.64 ($true = (sK0 @ sK2 @ sK5)) | (((~ (sK0 @ sK3 @ sK7)) | (sK6 @ sK7)) = $false)), 2.12/0.64 inference(beta_eta_normalization,[],[f162])). 2.12/0.64 thf(f162,plain,( 2.12/0.64 (((^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (sK6 @ Y0))) @ sK7) = $false) | ($true = (sK0 @ sK2 @ sK5))), 2.12/0.64 inference(sigma_clausification,[],[f161])). 2.12/0.64 thf(f161,plain,( 2.12/0.64 ($true = (sK0 @ sK2 @ sK5)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (sK6 @ Y0)))) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f159])). 2.12/0.64 thf(f159,plain,( 2.12/0.64 (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (sK6 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK6 @ Y1))))))))) = $false) | ($true = (sK0 @ sK2 @ sK5))), 2.12/0.64 inference(beta_eta_normalization,[],[f158])). 2.12/0.64 thf(f158,plain,( 2.12/0.64 ($true = (sK0 @ sK2 @ sK5)) | (((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))))) @ sK6) = $false)), 2.12/0.64 inference(sigma_clausification,[],[f157])). 2.12/0.64 thf(f157,plain,( 2.12/0.64 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))) = $false) | ($true = (sK0 @ sK2 @ sK5))), 2.12/0.64 inference(not_proxy_clausification,[],[f156])). 2.12/0.64 thf(f156,plain,( 2.12/0.64 ((~ (sK0 @ sK2 @ sK5)) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f154])). 2.12/0.64 thf(f154,plain,( 2.12/0.64 (((~ (sK0 @ sK2 @ sK5)) | (~ (sK4 @ sK5))) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))) = $false)), 2.12/0.64 inference(beta_eta_normalization,[],[f153])). 2.12/0.64 thf(f153,plain,( 2.12/0.64 (((^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK4 @ Y0)))) @ sK5) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))) = $false)), 2.12/0.64 inference(sigma_clausification,[],[f152])). 2.12/0.64 thf(f152,plain,( 2.12/0.64 ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK4 @ Y0))))) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f150])). 2.12/0.64 thf(f150,plain,( 2.12/0.64 (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK4 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (~ (sK4 @ Y1)))))))))) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))) = $false)), 2.12/0.64 inference(beta_eta_normalization,[],[f149])). 2.12/0.64 thf(f149,plain,( 2.12/0.64 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))) = $false) | (((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK2 @ Y1)) | (~ (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (~ (Y0 @ Y2))))))))))) @ sK4) = $false)), 2.12/0.64 inference(sigma_clausification,[],[f148])). 2.12/0.64 thf(f148,plain,( 2.12/0.64 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK2 @ Y1)) | (~ (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (~ (Y0 @ Y2)))))))))))) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))) = $false)), 2.12/0.64 inference(beta_eta_normalization,[],[f147])). 2.12/0.64 thf(f147,plain,( 2.12/0.64 (((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3)))))))))))) @ sK3) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK2 @ Y1)) | (~ (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (~ (Y0 @ Y2)))))))))))) = $false)), 2.12/0.64 inference(sigma_clausification,[],[f146])). 2.12/0.64 thf(f146,plain,( 2.12/0.64 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))))) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK2 @ Y1)) | (~ (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (~ (Y0 @ Y2)))))))))))) = $false)), 2.12/0.64 inference(beta_eta_normalization,[],[f145])). 2.12/0.64 thf(f145,plain,( 2.12/0.64 (((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))))))) @ sK2) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))))) = $false)), 2.12/0.64 inference(sigma_clausification,[],[f144])). 2.12/0.64 thf(f144,plain,( 2.12/0.64 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))))) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f142])). 2.12/0.64 thf(f142,plain,( 2.12/0.64 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))))) != (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))))), 2.12/0.64 inference(boolean_simplification,[],[f141])). 2.12/0.64 thf(f141,plain,( 2.12/0.64 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))))) != (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))))), 2.12/0.64 inference(boolean_simplification,[],[f140])). 2.12/0.64 thf(f140,plain,( 2.12/0.64 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))))) != (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))))), 2.12/0.64 inference(beta_eta_normalization,[],[f139])). 2.12/0.64 thf(f139,plain,( 2.12/0.64 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! 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@ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y6))))))))) @ Y1 @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y2)))))) @ sK0 @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ sK0 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y6))))))))) @ Y1 @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y2)))))) @ sK0 @ Y0)))))))), 2.12/0.64 inference(definition_unfolding,[],[f120,f113,f103,f131,f106,f104,f104,f106,f104,f113,f103,f131,f138,f104,f138])). 2.12/0.64 thf(f138,plain,( 2.12/0.64 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y2 @ Y4 @ Y5)) | (Y3 @ Y5))))))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))), 2.12/0.64 inference(definition_unfolding,[],[f122,f106,f104,f106])). 2.12/0.64 thf(f122,plain,( 2.12/0.64 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))), 2.12/0.64 inference(cnf_transformation,[],[f65])). 2.12/0.64 thf(f65,plain,( 2.12/0.64 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))), 2.12/0.64 inference(fool_elimination,[],[f64])). 2.12/0.64 thf(f64,plain,( 2.12/0.64 (mdia = (^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))))), 2.12/0.64 inference(rectify,[],[f17])). 2.12/0.64 thf(f17,axiom,( 2.12/0.64 (mdia = (^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))))), 2.12/0.64 file('/export/starexec/sandbox/tmp/tmp.8r8uRCcLDu/Vampire---4.8_28217',mdia)). 2.12/0.64 thf(f104,plain,( 2.12/0.64 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))), 2.12/0.64 inference(cnf_transformation,[],[f73])). 2.12/0.64 thf(f73,plain,( 2.12/0.64 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))), 2.12/0.64 inference(fool_elimination,[],[f72])). 2.12/0.64 thf(f72,plain,( 2.12/0.64 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))) = mbox)), 2.12/0.64 inference(rectify,[],[f16])). 2.12/0.64 thf(f16,axiom,( 2.12/0.64 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))) = mbox)), 2.12/0.64 file('/export/starexec/sandbox/tmp/tmp.8r8uRCcLDu/Vampire---4.8_28217',mbox)). 2.12/0.64 thf(f106,plain,( 2.12/0.64 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 2.12/0.64 inference(cnf_transformation,[],[f51])). 2.12/0.64 thf(f51,plain,( 2.12/0.64 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 2.12/0.64 inference(fool_elimination,[],[f50])). 2.12/0.64 thf(f50,plain,( 2.12/0.64 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)), 2.12/0.64 inference(rectify,[],[f3])). 2.12/0.64 thf(f3,axiom,( 2.12/0.64 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)), 2.12/0.64 file('/export/starexec/sandbox/tmp/tmp.8r8uRCcLDu/Vampire---4.8_28217',mnot)). 2.12/0.64 thf(f131,plain,( 2.12/0.64 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))), 2.12/0.64 inference(definition_unfolding,[],[f109,f128,f106])). 2.12/0.64 thf(f128,plain,( 2.12/0.64 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))), 2.12/0.64 inference(cnf_transformation,[],[f63])). 2.12/0.64 thf(f63,plain,( 2.12/0.64 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))), 2.12/0.64 inference(fool_elimination,[],[f62])). 2.12/0.64 thf(f62,plain,( 2.12/0.64 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))), 2.12/0.64 inference(rectify,[],[f4])). 2.12/0.64 thf(f4,axiom,( 2.12/0.64 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))), 2.12/0.64 file('/export/starexec/sandbox/tmp/tmp.8r8uRCcLDu/Vampire---4.8_28217',mor)). 2.12/0.64 thf(f109,plain,( 2.12/0.64 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 2.12/0.64 inference(cnf_transformation,[],[f69])). 2.12/0.64 thf(f69,plain,( 2.12/0.64 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 2.12/0.64 inference(fool_elimination,[],[f68])). 2.12/0.64 thf(f68,plain,( 2.12/0.64 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))), 2.12/0.64 inference(rectify,[],[f6])). 2.12/0.64 thf(f6,axiom,( 2.12/0.64 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))), 2.12/0.64 file('/export/starexec/sandbox/tmp/tmp.8r8uRCcLDu/Vampire---4.8_28217',mimplies)). 2.12/0.64 thf(f103,plain,( 2.12/0.64 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))), 2.12/0.64 inference(cnf_transformation,[],[f45])). 2.12/0.64 thf(f45,plain,( 2.12/0.64 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))), 2.12/0.64 inference(fool_elimination,[],[f44])). 2.12/0.64 thf(f44,plain,( 2.12/0.64 ((^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))) = mforall_prop)), 2.12/0.64 inference(rectify,[],[f11])). 2.12/0.64 thf(f11,axiom,( 2.12/0.64 ((^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))) = mforall_prop)), 2.12/0.64 file('/export/starexec/sandbox/tmp/tmp.8r8uRCcLDu/Vampire---4.8_28217',mforall_prop)). 2.12/0.64 thf(f113,plain,( 2.12/0.64 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 2.12/0.64 inference(cnf_transformation,[],[f87])). 2.12/0.64 thf(f87,plain,( 2.12/0.64 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 2.12/0.64 inference(fool_elimination,[],[f86])). 2.12/0.64 thf(f86,plain,( 2.12/0.64 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))), 2.12/0.64 inference(rectify,[],[f28])). 2.12/0.64 thf(f28,axiom,( 2.12/0.64 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))), 2.12/0.64 file('/export/starexec/sandbox/tmp/tmp.8r8uRCcLDu/Vampire---4.8_28217',mvalid)). 2.12/0.64 thf(f120,plain,( 2.12/0.64 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ sK0 @ Y0)) @ (mbox @ sK0 @ (mnot @ (mbox @ sK0 @ Y0))))))) != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ sK0 @ Y0) @ (mbox @ sK0 @ (mdia @ sK0 @ Y0)))))))), 2.12/0.64 inference(cnf_transformation,[],[f97])). 2.12/0.64 thf(f97,plain,( 2.12/0.64 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ sK0 @ Y0)) @ (mbox @ sK0 @ (mnot @ (mbox @ sK0 @ Y0))))))) != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ sK0 @ Y0) @ (mbox @ sK0 @ (mdia @ sK0 @ Y0)))))))), 2.12/0.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f95,f96])). 2.12/0.64 thf(f96,plain,( 2.12/0.64 ? [X0 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ X0 @ Y0) @ (mbox @ X0 @ (mdia @ X0 @ Y0)))))) != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ X0 @ Y0)) @ (mbox @ X0 @ (mnot @ (mbox @ X0 @ Y0)))))))) => ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ sK0 @ Y0)) @ (mbox @ sK0 @ (mnot @ (mbox @ sK0 @ Y0))))))) != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ sK0 @ Y0) @ (mbox @ sK0 @ (mdia @ sK0 @ Y0)))))))), 2.12/0.64 introduced(choice_axiom,[])). 2.12/0.64 thf(f95,plain,( 2.12/0.64 ? [X0 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ X0 @ Y0) @ (mbox @ X0 @ (mdia @ X0 @ Y0)))))) != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ X0 @ Y0)) @ (mbox @ X0 @ (mnot @ (mbox @ X0 @ Y0))))))))), 2.12/0.64 inference(ennf_transformation,[],[f61])). 2.12/0.64 thf(f61,plain,( 2.12/0.64 ~! [X0 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ X0 @ Y0) @ (mbox @ X0 @ (mdia @ X0 @ Y0)))))) = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ X0 @ Y0)) @ (mbox @ X0 @ (mnot @ (mbox @ X0 @ Y0))))))))), 2.12/0.64 inference(fool_elimination,[],[f60])). 2.12/0.64 thf(f60,plain,( 2.12/0.64 ~! [X0 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[X1 : $i > $o] : (mimplies @ (mnot @ (mbox @ X0 @ X1)) @ (mbox @ X0 @ (mnot @ (mbox @ X0 @ X1))))))) <=> (mvalid @ (mforall_prop @ (^[X2 : $i > $o] : (mimplies @ (mdia @ X0 @ X2) @ (mbox @ X0 @ (mdia @ X0 @ X2)))))))), 2.12/0.64 inference(rectify,[],[f33])). 2.12/0.64 thf(f33,negated_conjecture,( 2.12/0.64 ~! [X6 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ X6 @ X3)) @ (mbox @ X6 @ (mnot @ (mbox @ X6 @ X3))))))) <=> (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mdia @ X6 @ X3) @ (mbox @ X6 @ (mdia @ X6 @ X3)))))))), 2.12/0.64 inference(negated_conjecture,[],[f32])). 2.12/0.64 thf(f32,conjecture,( 2.12/0.64 ! [X6 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ X6 @ X3)) @ (mbox @ X6 @ (mnot @ (mbox @ X6 @ X3))))))) <=> (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mdia @ X6 @ X3) @ (mbox @ X6 @ (mdia @ X6 @ X3)))))))), 2.12/0.64 file('/export/starexec/sandbox/tmp/tmp.8r8uRCcLDu/Vampire---4.8_28217',conj)). 2.12/0.64 thf(f419,plain,( 2.12/0.64 spl1_25 | spl1_22), 2.12/0.64 inference(avatar_split_clause,[],[f164,f403,f416])). 2.12/0.64 thf(f164,plain,( 2.12/0.64 ((sK6 @ sK7) = $false) | ($true = (sK0 @ sK2 @ sK5))), 2.12/0.64 inference(binary_proxy_clausification,[],[f163])). 2.12/0.64 thf(f414,plain,( 2.12/0.64 spl1_24 | spl1_22), 2.12/0.64 inference(avatar_split_clause,[],[f171,f403,f411])). 2.12/0.64 thf(f171,plain,( 2.12/0.64 ($true = (sK0 @ sK3 @ sK8)) | ($true = (sK0 @ sK2 @ sK5))), 2.12/0.64 inference(not_proxy_clausification,[],[f170])). 2.12/0.64 thf(f170,plain,( 2.12/0.64 ((~ (sK0 @ sK3 @ sK8)) = $false) | ($true = (sK0 @ sK2 @ sK5))), 2.12/0.64 inference(binary_proxy_clausification,[],[f168])). 2.12/0.64 thf(f168,plain,( 2.12/0.64 ($true = (sK0 @ sK2 @ sK5)) | (((~ (sK0 @ sK3 @ sK8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK8 @ Y0)) | (sK6 @ Y0)))))) = $false)), 2.12/0.64 inference(beta_eta_normalization,[],[f167])). 2.12/0.64 thf(f167,plain,( 2.12/0.64 ($true = (sK0 @ sK2 @ sK5)) | ($false = ((^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK6 @ Y1))))))) @ sK8))), 2.12/0.64 inference(sigma_clausification,[],[f160])). 2.12/0.64 thf(f160,plain,( 2.12/0.64 ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK6 @ Y1)))))))) = $false) | ($true = (sK0 @ sK2 @ sK5))), 2.12/0.64 inference(binary_proxy_clausification,[],[f159])). 2.12/0.64 thf(f409,plain,( 2.12/0.64 spl1_22 | spl1_23), 2.12/0.64 inference(avatar_split_clause,[],[f176,f407,f403])). 2.12/0.64 thf(f176,plain,( 2.12/0.64 ( ! [X1 : $i] : (($true = (sK0 @ sK2 @ sK5)) | ($true = (sK6 @ X1)) | ((sK0 @ sK8 @ X1) = $false)) )), 2.12/0.64 inference(not_proxy_clausification,[],[f175])). 2.12/0.64 thf(f175,plain,( 2.12/0.64 ( ! [X1 : $i] : (($true = (sK6 @ X1)) | ($true = (sK0 @ sK2 @ sK5)) | ($true = (~ (sK0 @ sK8 @ X1)))) )), 2.12/0.64 inference(binary_proxy_clausification,[],[f174])). 2.12/0.64 thf(f174,plain,( 2.12/0.64 ( ! [X1 : $i] : (($true = (sK0 @ sK2 @ sK5)) | ($true = ((~ (sK0 @ sK8 @ X1)) | (sK6 @ X1)))) )), 2.12/0.64 inference(beta_eta_normalization,[],[f173])). 2.12/0.64 thf(f173,plain,( 2.12/0.64 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (sK0 @ sK8 @ Y0)) | (sK6 @ Y0))) @ X1)) | ($true = (sK0 @ sK2 @ sK5))) )), 2.12/0.64 inference(pi_clausification,[],[f172])). 2.12/0.64 thf(f172,plain,( 2.12/0.64 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK8 @ Y0)) | (sK6 @ Y0))))) | ($true = (sK0 @ sK2 @ sK5))), 2.12/0.64 inference(not_proxy_clausification,[],[f169])). 2.12/0.64 thf(f169,plain,( 2.12/0.64 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK8 @ Y0)) | (sK6 @ Y0))))) = $false) | ($true = (sK0 @ sK2 @ sK5))), 2.12/0.64 inference(binary_proxy_clausification,[],[f168])). 2.12/0.64 thf(f401,plain,( 2.12/0.64 spl1_21 | spl1_17), 2.12/0.64 inference(avatar_split_clause,[],[f186,f380,f398])). 2.12/0.64 thf(f186,plain,( 2.12/0.64 ((sK0 @ sK3 @ sK10) = $true) | ($true = (sK4 @ sK5))), 2.12/0.64 inference(not_proxy_clausification,[],[f185])). 2.12/0.64 thf(f185,plain,( 2.12/0.64 ((~ (sK0 @ sK3 @ sK10)) = $false) | ($true = (sK4 @ sK5))), 2.12/0.64 inference(not_proxy_clausification,[],[f184])). 2.12/0.64 thf(f184,plain,( 2.12/0.64 ((~ (sK4 @ sK5)) = $false) | ((~ (sK0 @ sK3 @ sK10)) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f182])). 2.12/0.64 thf(f182,plain,( 2.12/0.64 ($false = ((~ (sK0 @ sK3 @ sK10)) | (sK9 @ sK10))) | ((~ (sK4 @ sK5)) = $false)), 2.12/0.64 inference(beta_eta_normalization,[],[f181])). 2.12/0.64 thf(f181,plain,( 2.12/0.64 ((~ (sK4 @ sK5)) = $false) | (((^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (sK9 @ Y0))) @ sK10) = $false)), 2.12/0.64 inference(sigma_clausification,[],[f180])). 2.12/0.64 thf(f180,plain,( 2.12/0.64 ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (sK9 @ Y0)))) = $false) | ((~ (sK4 @ sK5)) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f178])). 2.12/0.64 thf(f178,plain,( 2.12/0.64 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (sK9 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK9 @ Y1)))))))))) | ((~ (sK4 @ sK5)) = $false)), 2.12/0.64 inference(beta_eta_normalization,[],[f177])). 2.12/0.64 thf(f177,plain,( 2.12/0.64 ((~ (sK4 @ sK5)) = $false) | (((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))))) @ sK9) = $false)), 2.12/0.64 inference(sigma_clausification,[],[f155])). 2.12/0.64 thf(f155,plain,( 2.12/0.64 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))) = $false) | ((~ (sK4 @ sK5)) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f154])). 2.12/0.64 thf(f396,plain,( 2.12/0.64 spl1_17 | spl1_20), 2.12/0.64 inference(avatar_split_clause,[],[f187,f393,f380])). 2.12/0.64 thf(f187,plain,( 2.12/0.64 ($true = (sK4 @ sK5)) | ((sK9 @ sK10) = $false)), 2.12/0.64 inference(not_proxy_clausification,[],[f183])). 2.12/0.64 thf(f183,plain,( 2.12/0.64 ((sK9 @ sK10) = $false) | ((~ (sK4 @ sK5)) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f182])). 2.12/0.64 thf(f391,plain,( 2.12/0.64 spl1_17 | spl1_19), 2.12/0.64 inference(avatar_split_clause,[],[f193,f388,f380])). 2.12/0.64 thf(f193,plain,( 2.12/0.64 ($true = (sK0 @ sK3 @ sK11)) | ($true = (sK4 @ sK5))), 2.12/0.64 inference(not_proxy_clausification,[],[f192])). 2.12/0.64 thf(f192,plain,( 2.12/0.64 ($true = (sK4 @ sK5)) | ((~ (sK0 @ sK3 @ sK11)) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f190])). 2.12/0.64 thf(f190,plain,( 2.12/0.64 ($true = (sK4 @ sK5)) | (((~ (sK0 @ sK3 @ sK11)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (sK9 @ Y0)))))) = $false)), 2.12/0.64 inference(beta_eta_normalization,[],[f189])). 2.12/0.64 thf(f189,plain,( 2.12/0.64 (((^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK9 @ Y1))))))) @ sK11) = $false) | ($true = (sK4 @ sK5))), 2.12/0.64 inference(sigma_clausification,[],[f188])). 2.12/0.64 thf(f188,plain,( 2.12/0.64 ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK9 @ Y1)))))))) = $false) | ($true = (sK4 @ sK5))), 2.12/0.64 inference(not_proxy_clausification,[],[f179])). 2.12/0.64 thf(f179,plain,( 2.12/0.64 ((~ (sK4 @ sK5)) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK9 @ Y1)))))))) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f178])). 2.12/0.64 thf(f386,plain,( 2.12/0.64 spl1_17 | spl1_18), 2.12/0.64 inference(avatar_split_clause,[],[f198,f384,f380])). 2.12/0.64 thf(f198,plain,( 2.12/0.64 ( ! [X1 : $i] : (($true = (sK9 @ X1)) | ((sK0 @ sK11 @ X1) = $false) | ($true = (sK4 @ sK5))) )), 2.12/0.64 inference(not_proxy_clausification,[],[f197])). 2.12/0.64 thf(f197,plain,( 2.12/0.64 ( ! [X1 : $i] : (($true = (sK4 @ sK5)) | ((~ (sK0 @ sK11 @ X1)) = $true) | ($true = (sK9 @ X1))) )), 2.12/0.64 inference(binary_proxy_clausification,[],[f196])). 2.12/0.64 thf(f196,plain,( 2.12/0.64 ( ! [X1 : $i] : ((((~ (sK0 @ sK11 @ X1)) | (sK9 @ X1)) = $true) | ($true = (sK4 @ sK5))) )), 2.12/0.64 inference(beta_eta_normalization,[],[f195])). 2.12/0.64 thf(f195,plain,( 2.12/0.64 ( ! [X1 : $i] : (($true = (sK4 @ sK5)) | ($true = ((^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (sK9 @ Y0))) @ X1))) )), 2.12/0.64 inference(pi_clausification,[],[f194])). 2.12/0.64 thf(f194,plain,( 2.12/0.64 ($true = (sK4 @ sK5)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (sK9 @ Y0)))))), 2.12/0.64 inference(not_proxy_clausification,[],[f191])). 2.12/0.64 thf(f191,plain,( 2.12/0.64 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (sK9 @ Y0))))) = $false) | ($true = (sK4 @ sK5))), 2.12/0.64 inference(binary_proxy_clausification,[],[f190])). 2.12/0.64 thf(f378,plain,( 2.12/0.64 spl1_16 | spl1_12), 2.12/0.64 inference(avatar_split_clause,[],[f212,f357,f375])). 2.12/0.64 thf(f212,plain,( 2.12/0.64 ($true = (sK0 @ sK2 @ sK12)) | ($true = (sK0 @ sK3 @ sK14))), 2.12/0.64 inference(not_proxy_clausification,[],[f211])). 2.12/0.64 thf(f211,plain,( 2.12/0.64 ((~ (sK0 @ sK3 @ sK14)) = $false) | ($true = (sK0 @ sK2 @ sK12))), 2.12/0.64 inference(binary_proxy_clausification,[],[f209])). 2.12/0.64 thf(f209,plain,( 2.12/0.64 ($true = (sK0 @ sK2 @ sK12)) | (((~ (sK0 @ sK3 @ sK14)) | (sK13 @ sK14)) = $false)), 2.12/0.64 inference(not_proxy_clausification,[],[f208])). 2.12/0.64 thf(f208,plain,( 2.12/0.64 ((~ (sK0 @ sK2 @ sK12)) = $false) | (((~ (sK0 @ sK3 @ sK14)) | (sK13 @ sK14)) = $false)), 2.12/0.64 inference(beta_eta_normalization,[],[f207])). 2.12/0.64 thf(f207,plain,( 2.12/0.64 ((~ (sK0 @ sK2 @ sK12)) = $false) | (((^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (sK13 @ Y0))) @ sK14) = $false)), 2.12/0.64 inference(sigma_clausification,[],[f206])). 2.12/0.64 thf(f206,plain,( 2.12/0.64 ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (sK13 @ Y0)))) = $false) | ((~ (sK0 @ sK2 @ sK12)) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f204])). 2.12/0.64 thf(f204,plain,( 2.12/0.64 (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (sK13 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK13 @ Y1))))))))) = $false) | ((~ (sK0 @ sK2 @ sK12)) = $false)), 2.12/0.64 inference(beta_eta_normalization,[],[f203])). 2.12/0.64 thf(f203,plain,( 2.12/0.64 (((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))))) @ sK13) = $false) | ((~ (sK0 @ sK2 @ sK12)) = $false)), 2.12/0.64 inference(sigma_clausification,[],[f202])). 2.12/0.64 thf(f202,plain,( 2.12/0.64 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))) = $false) | ((~ (sK0 @ sK2 @ sK12)) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f200])). 2.12/0.64 thf(f200,plain,( 2.12/0.64 (((~ (sK0 @ sK2 @ sK12)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK12 @ Y0)) | (~ (sK4 @ Y0))))))) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))) = $false)), 2.12/0.64 inference(beta_eta_normalization,[],[f199])). 2.12/0.64 thf(f199,plain,( 2.12/0.64 (((^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (~ (sK4 @ Y1)))))))) @ sK12) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))) = $false)), 2.12/0.64 inference(sigma_clausification,[],[f151])). 2.12/0.64 thf(f151,plain,( 2.12/0.64 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (~ (sK4 @ Y1)))))))))) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f150])). 2.12/0.64 thf(f373,plain,( 2.12/0.64 spl1_15 | spl1_12), 2.12/0.64 inference(avatar_split_clause,[],[f210,f357,f370])). 2.12/0.64 thf(f210,plain,( 2.12/0.64 ($true = (sK0 @ sK2 @ sK12)) | ((sK13 @ sK14) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f209])). 2.12/0.64 thf(f368,plain,( 2.12/0.64 spl1_12 | spl1_14), 2.12/0.64 inference(avatar_split_clause,[],[f218,f365,f357])). 2.12/0.64 thf(f218,plain,( 2.12/0.64 ((sK0 @ sK3 @ sK15) = $true) | ($true = (sK0 @ sK2 @ sK12))), 2.12/0.64 inference(not_proxy_clausification,[],[f217])). 2.12/0.64 thf(f217,plain,( 2.12/0.64 ($true = (sK0 @ sK2 @ sK12)) | ((~ (sK0 @ sK3 @ sK15)) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f215])). 2.12/0.64 thf(f215,plain,( 2.12/0.64 (((~ (sK0 @ sK3 @ sK15)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0)))))) = $false) | ($true = (sK0 @ sK2 @ sK12))), 2.12/0.64 inference(not_proxy_clausification,[],[f214])). 2.12/0.64 thf(f214,plain,( 2.12/0.64 ((~ (sK0 @ sK2 @ sK12)) = $false) | (((~ (sK0 @ sK3 @ sK15)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0)))))) = $false)), 2.12/0.64 inference(beta_eta_normalization,[],[f213])). 2.12/0.64 thf(f213,plain,( 2.12/0.64 ((~ (sK0 @ sK2 @ sK12)) = $false) | (((^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK13 @ Y1))))))) @ sK15) = $false)), 2.12/0.64 inference(sigma_clausification,[],[f205])). 2.12/0.64 thf(f205,plain,( 2.12/0.64 ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK13 @ Y1)))))))) = $false) | ((~ (sK0 @ sK2 @ sK12)) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f204])). 2.12/0.64 thf(f363,plain,( 2.12/0.64 spl1_12 | spl1_13), 2.12/0.64 inference(avatar_split_clause,[],[f223,f361,f357])). 2.12/0.64 thf(f223,plain,( 2.12/0.64 ( ! [X1 : $i] : (($true = (sK0 @ sK2 @ sK12)) | ($true = (sK13 @ X1)) | ((sK0 @ sK15 @ X1) = $false)) )), 2.12/0.64 inference(not_proxy_clausification,[],[f222])). 2.12/0.64 thf(f222,plain,( 2.12/0.64 ( ! [X1 : $i] : (($true = (sK0 @ sK2 @ sK12)) | ((~ (sK0 @ sK15 @ X1)) = $true) | ($true = (sK13 @ X1))) )), 2.12/0.64 inference(binary_proxy_clausification,[],[f221])). 2.12/0.64 thf(f221,plain,( 2.12/0.64 ( ! [X1 : $i] : (($true = ((~ (sK0 @ sK15 @ X1)) | (sK13 @ X1))) | ($true = (sK0 @ sK2 @ sK12))) )), 2.12/0.64 inference(beta_eta_normalization,[],[f220])). 2.12/0.64 thf(f220,plain,( 2.12/0.64 ( ! [X1 : $i] : (($true = (sK0 @ sK2 @ sK12)) | (((^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0))) @ X1) = $true)) )), 2.12/0.64 inference(pi_clausification,[],[f219])). 2.12/0.64 thf(f219,plain,( 2.12/0.64 ($true = (sK0 @ sK2 @ sK12)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0)))))), 2.12/0.64 inference(not_proxy_clausification,[],[f216])). 2.12/0.64 thf(f216,plain,( 2.12/0.64 ($true = (sK0 @ sK2 @ sK12)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK15 @ Y0)) | (sK13 @ Y0))))) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f215])). 2.12/0.64 thf(f355,plain,( 2.12/0.64 spl1_7 | spl1_11), 2.12/0.64 inference(avatar_split_clause,[],[f238,f352,f335])). 2.12/0.64 thf(f238,plain,( 2.12/0.64 ( ! [X1 : $i] : (((sK0 @ sK12 @ X1) = $false) | ((sK0 @ sK3 @ sK17) = $true) | ((sK4 @ X1) = $false)) )), 2.12/0.64 inference(not_proxy_clausification,[],[f237])). 2.12/0.64 thf(f237,plain,( 2.12/0.64 ( ! [X1 : $i] : (((sK0 @ sK12 @ X1) = $false) | ($true = (~ (sK4 @ X1))) | ((sK0 @ sK3 @ sK17) = $true)) )), 2.12/0.64 inference(not_proxy_clausification,[],[f236])). 2.12/0.64 thf(f236,plain,( 2.12/0.64 ( ! [X1 : $i] : (((~ (sK0 @ sK3 @ sK17)) = $false) | ($true = (~ (sK4 @ X1))) | ((sK0 @ sK12 @ X1) = $false)) )), 2.12/0.64 inference(not_proxy_clausification,[],[f235])). 2.12/0.64 thf(f235,plain,( 2.12/0.64 ( ! [X1 : $i] : (((~ (sK0 @ sK12 @ X1)) = $true) | ($true = (~ (sK4 @ X1))) | ((~ (sK0 @ sK3 @ sK17)) = $false)) )), 2.12/0.64 inference(binary_proxy_clausification,[],[f234])). 2.12/0.64 thf(f234,plain,( 2.12/0.64 ( ! [X1 : $i] : (($true = ((~ (sK0 @ sK12 @ X1)) | (~ (sK4 @ X1)))) | ((~ (sK0 @ sK3 @ sK17)) = $false)) )), 2.12/0.64 inference(binary_proxy_clausification,[],[f232])). 2.12/0.64 thf(f232,plain,( 2.12/0.64 ( ! [X1 : $i] : ((((~ (sK0 @ sK3 @ sK17)) | (sK16 @ sK17)) = $false) | ($true = ((~ (sK0 @ sK12 @ X1)) | (~ (sK4 @ X1))))) )), 2.12/0.64 inference(beta_eta_normalization,[],[f231])). 2.12/0.64 thf(f231,plain,( 2.12/0.64 ( ! [X1 : $i] : (($true = ((~ (sK0 @ sK12 @ X1)) | (~ (sK4 @ X1)))) | (((^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (sK16 @ Y0))) @ sK17) = $false)) )), 2.12/0.64 inference(sigma_clausification,[],[f230])). 2.12/0.64 thf(f230,plain,( 2.12/0.64 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (sK16 @ Y0)))) = $false) | ($true = ((~ (sK0 @ sK12 @ X1)) | (~ (sK4 @ X1))))) )), 2.12/0.64 inference(beta_eta_normalization,[],[f229])). 2.12/0.64 thf(f229,plain,( 2.12/0.64 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (sK16 @ Y0)))) = $false) | ($true = ((^[Y0 : $i]: ((~ (sK0 @ sK12 @ Y0)) | (~ (sK4 @ Y0)))) @ X1))) )), 2.12/0.64 inference(pi_clausification,[],[f228])). 2.12/0.64 thf(f228,plain,( 2.12/0.64 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK12 @ Y0)) | (~ (sK4 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (sK16 @ Y0)))) = $false)), 2.12/0.64 inference(not_proxy_clausification,[],[f227])). 2.12/0.64 thf(f227,plain,( 2.12/0.64 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK12 @ Y0)) | (~ (sK4 @ Y0)))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (sK16 @ Y0)))) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f225])). 2.12/0.64 thf(f225,plain,( 2.12/0.64 (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (sK16 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK3 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK16 @ Y1))))))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK12 @ Y0)) | (~ (sK4 @ Y0)))))) = $false)), 2.12/0.64 inference(beta_eta_normalization,[],[f224])). 2.12/0.64 thf(f224,plain,( 2.12/0.64 (((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))))) @ sK16) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK12 @ Y0)) | (~ (sK4 @ Y0)))))) = $false)), 2.12/0.64 inference(sigma_clausification,[],[f201])). 2.12/0.64 thf(f201,plain,( 2.12/0.64 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK3 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK12 @ Y0)) | (~ (sK4 @ Y0)))))) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f200])). 2.12/0.64 thf(f350,plain,( 2.12/0.64 spl1_7 | spl1_10), 2.12/0.64 inference(avatar_split_clause,[],[f241,f347,f335])). 2.12/0.64 thf(f241,plain,( 2.12/0.64 ( ! 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[X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK18 @ Y0)) | (sK16 @ Y0))))) = $false) | ($true = ((~ (sK0 @ sK12 @ X1)) | (~ (sK4 @ X1))))) )), 2.12/0.64 inference(beta_eta_normalization,[],[f253])). 2.12/0.64 thf(f253,plain,( 2.12/0.64 ( ! [X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK18 @ Y0)) | (sK16 @ Y0))))) = $false) | ($true = ((^[Y0 : $i]: ((~ (sK0 @ sK12 @ Y0)) | (~ (sK4 @ Y0)))) @ X1))) )), 2.12/0.64 inference(pi_clausification,[],[f245])). 2.12/0.64 thf(f245,plain,( 2.12/0.64 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK12 @ Y0)) | (~ (sK4 @ Y0)))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK18 @ Y0)) | (sK16 @ Y0))))) = $false)), 2.12/0.64 inference(binary_proxy_clausification,[],[f244])). 2.12/0.64 thf(f333,plain,( 2.12/0.64 spl1_6 | spl1_4), 2.12/0.64 inference(avatar_split_clause,[],[f301,f324,f331])). 2.12/0.64 thf(f301,plain,( 2.12/0.64 ( ! 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[X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = (X3 @ X4)) | ((sK0 @ X1 @ X4) = $false) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X2 @ X6) = $false) | (((^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0))) @ (sK20 @ X3 @ X8)) = $false) | ($true = (sK0 @ X6 @ (sK19 @ X5 @ X6))) | ((X5 @ X7) = $false) | ($true = (~ (sK0 @ X2 @ X7)))) )), 2.12/0.64 inference(sigma_clausification,[],[f295])). 2.12/0.64 thf(f295,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((sK0 @ X1 @ X8) = $false) | ($true = (sK0 @ X6 @ (sK19 @ X5 @ X6))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0)))) = $false) | ((X5 @ X7) = $false) | ((sK0 @ X1 @ X4) = $false) | ($true = (~ (sK0 @ X2 @ X7))) | ((sK0 @ X2 @ X6) = $false) | ($true = (X3 @ X4))) )), 2.12/0.64 inference(not_proxy_clausification,[],[f294])). 2.12/0.64 thf(f294,plain,( 2.12/0.64 ( ! 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[X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((sK0 @ X1 @ X4) = $false) | ((~ (sK0 @ X6 @ (sK19 @ X5 @ X6))) = $false) | ((sK0 @ X2 @ X6) = $false) | ($true = (~ (sK0 @ X1 @ X8))) | ($true = (~ (sK0 @ X2 @ X7))) | ($true = (X3 @ X4)) | ((X5 @ X7) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0))))))) )), 2.12/0.64 inference(binary_proxy_clausification,[],[f291])). 2.12/0.64 thf(f291,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = ((~ (sK0 @ X1 @ X8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0))))))) | ((X5 @ X7) = $false) | ((sK0 @ X1 @ X4) = $false) | ((sK0 @ X2 @ X6) = $false) | ($true = (X3 @ X4)) | ($true = (~ (sK0 @ X2 @ X7))) | ((~ (sK0 @ X6 @ (sK19 @ X5 @ X6))) = $false)) )), 2.12/0.64 inference(binary_proxy_clausification,[],[f289])). 2.12/0.64 thf(f289,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : ((((~ (sK0 @ X6 @ (sK19 @ X5 @ X6))) | (~ (X5 @ (sK19 @ X5 @ X6)))) = $false) | ($true = (X3 @ X4)) | ((sK0 @ X1 @ X4) = $false) | ((sK0 @ X2 @ X6) = $false) | ((X5 @ X7) = $false) | ($true = (~ (sK0 @ X2 @ X7))) | ($true = ((~ (sK0 @ X1 @ X8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0)))))))) )), 2.12/0.64 inference(beta_eta_normalization,[],[f288])). 2.12/0.64 thf(f288,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : ((((^[Y0 : $i]: ((~ (sK0 @ X6 @ Y0)) | (~ (X5 @ Y0)))) @ (sK19 @ X5 @ X6)) = $false) | ($true = (X3 @ X4)) | ($true = ((~ (sK0 @ X1 @ X8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0))))))) | ((X5 @ X7) = $false) | ((sK0 @ X1 @ X4) = $false) | ($true = (~ (sK0 @ X2 @ X7))) | ((sK0 @ X2 @ X6) = $false)) )), 2.12/0.64 inference(sigma_clausification,[],[f287])). 2.12/0.64 thf(f287,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X6 @ Y0)) | (~ (X5 @ Y0))))) = $false) | ($true = (X3 @ X4)) | ((X5 @ X7) = $false) | ($true = (~ (sK0 @ X2 @ X7))) | ((sK0 @ X2 @ X6) = $false) | ($true = ((~ (sK0 @ X1 @ X8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0))))))) | ((sK0 @ X1 @ X4) = $false)) )), 2.12/0.64 inference(not_proxy_clausification,[],[f286])). 2.12/0.64 thf(f286,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((~ (sK0 @ X1 @ X4)) = $true) | ($true = (X3 @ X4)) | ((sK0 @ X2 @ X6) = $false) | ((X5 @ X7) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X6 @ Y0)) | (~ (X5 @ Y0))))) = $false) | ($true = ((~ (sK0 @ X1 @ X8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0))))))) | ($true = (~ (sK0 @ X2 @ X7)))) )), 2.12/0.64 inference(not_proxy_clausification,[],[f285])). 2.12/0.64 thf(f285,plain,( 2.12/0.64 ( ! 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[X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((sK0 @ X2 @ X6) = $false) | ($true = ((^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1))))))) @ X8)) | ($true = ((~ (sK0 @ X2 @ X7)) | (~ (X5 @ X7)))) | ((~ (sK0 @ X1 @ X4)) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X6 @ Y0)) | (~ (X5 @ Y0))))) = $false) | ($true = (X3 @ X4))) )), 2.12/0.64 inference(pi_clausification,[],[f282])). 2.12/0.64 thf(f282,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1))))))))) | ($true = (X3 @ X4)) | ((~ (sK0 @ X1 @ X4)) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X6 @ Y0)) | (~ (X5 @ Y0))))) = $false) | ((sK0 @ X2 @ X6) = $false) | ($true = ((~ (sK0 @ X2 @ X7)) | (~ (X5 @ X7))))) )), 2.12/0.64 inference(not_proxy_clausification,[],[f281])). 2.12/0.64 thf(f281,plain,( 2.12/0.64 ( ! 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[X2 : $i,X3 : $i > $o,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1))))))))) | ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X2 @ Y1)) | (~ (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (~ (Y0 @ Y2)))))))))))))) )), 2.12/0.64 inference(binary_proxy_clausification,[],[f268])). 2.12/0.64 thf(f268,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X3 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X3 @ Y1)))))))))) | ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X2 @ Y1)) | (~ (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (~ (Y0 @ Y2)))))))))))))) )), 2.12/0.64 inference(beta_eta_normalization,[],[f267])). 2.12/0.64 thf(f267,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))))) @ X3) = $true) | ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X2 @ Y1)) | (~ (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (~ (Y0 @ Y2)))))))))))))) )), 2.12/0.64 inference(pi_clausification,[],[f266])). 2.12/0.64 thf(f266,plain,( 2.12/0.64 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))))))) | ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X2 @ Y1)) | (~ (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (~ (Y0 @ Y2)))))))))))))) )), 2.12/0.64 inference(beta_eta_normalization,[],[f265])). 2.12/0.64 thf(f265,plain,( 2.12/0.64 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))))))) @ X2)) | ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))))) )), 2.12/0.64 inference(pi_clausification,[],[f264])). 2.12/0.64 thf(f264,plain,( 2.12/0.64 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))))))))) | ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (Y0 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))))) )), 2.12/0.64 inference(beta_eta_normalization,[],[f263])). 2.12/0.64 thf(f263,plain,( 2.12/0.64 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3)))))))))))) @ X1)) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))))) )), 2.12/0.64 inference(pi_clausification,[],[f143])). 2.12/0.64 thf(f143,plain,( 2.12/0.64 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3)))))))))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3)))))))))))))))), 2.12/0.64 inference(binary_proxy_clausification,[],[f142])). 2.12/0.64 thf(f329,plain,( 2.12/0.64 spl1_4 | spl1_5), 2.12/0.64 inference(avatar_split_clause,[],[f299,f327,f324])). 2.12/0.64 thf(f299,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = (sK0 @ X6 @ (sK19 @ X5 @ X6))) | ((X3 @ (sK20 @ X3 @ X8)) = $false) | ((X5 @ X7) = $false) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X2 @ X7) = $false) | ($true = (X3 @ X4)) | ((sK0 @ X1 @ X4) = $false)) )), 2.12/0.64 inference(binary_proxy_clausification,[],[f298])). 2.12/0.64 thf(f322,plain,( 2.12/0.64 spl1_3 | spl1_1), 2.12/0.64 inference(avatar_split_clause,[],[f311,f313,f320])). 2.12/0.64 thf(f311,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((sK0 @ X2 @ X6) = $false) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X2 @ X7) = $false) | ($true = (sK0 @ X8 @ (sK21 @ X3 @ X8))) | ($true = (X3 @ X4)) | ((X5 @ X7) = $false) | ((sK0 @ X1 @ X4) = $false) | ($true = (X5 @ (sK19 @ X5 @ X6)))) )), 2.12/0.64 inference(not_proxy_clausification,[],[f310])). 2.12/0.64 thf(f310,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = (X3 @ X4)) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X2 @ X7) = $false) | ((sK0 @ X1 @ X4) = $false) | ((X5 @ X7) = $false) | ((sK0 @ X1 @ X8) = $false) | ($true = (X5 @ (sK19 @ X5 @ X6))) | ((~ (sK0 @ X8 @ (sK21 @ X3 @ X8))) = $false)) )), 2.12/0.64 inference(binary_proxy_clausification,[],[f308])). 2.12/0.64 thf(f308,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((sK0 @ X2 @ X7) = $false) | (((~ (sK0 @ X8 @ (sK21 @ X3 @ X8))) | (X3 @ (sK21 @ X3 @ X8))) = $false) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X2 @ X6) = $false) | ($true = (X5 @ (sK19 @ X5 @ X6))) | ((sK0 @ X1 @ X4) = $false) | ((X5 @ X7) = $false) | ($true = (X3 @ X4))) )), 2.12/0.64 inference(beta_eta_normalization,[],[f307])). 2.12/0.64 thf(f307,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = (X5 @ (sK19 @ X5 @ X6))) | ((sK0 @ X2 @ X7) = $false) | ((sK0 @ X1 @ X4) = $false) | ((sK0 @ X2 @ X6) = $false) | ($true = (X3 @ X4)) | ((sK0 @ X1 @ X8) = $false) | ((X5 @ X7) = $false) | (((^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0))) @ (sK21 @ X3 @ X8)) = $false)) )), 2.12/0.64 inference(sigma_clausification,[],[f306])). 2.12/0.64 thf(f306,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0)))) = $false) | ($true = (X3 @ X4)) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X1 @ X8) = $false) | ($true = (X5 @ (sK19 @ X5 @ X6))) | ((sK0 @ X2 @ X7) = $false) | ((sK0 @ X1 @ X4) = $false) | ((X5 @ X7) = $false)) )), 2.12/0.64 inference(not_proxy_clausification,[],[f305])). 2.12/0.64 thf(f305,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0)))))) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X1 @ X4) = $false) | ((X5 @ X7) = $false) | ($true = (X5 @ (sK19 @ X5 @ X6))) | ((sK0 @ X2 @ X6) = $false) | ($true = (X3 @ X4)) | ((sK0 @ X2 @ X7) = $false)) )), 2.12/0.64 inference(not_proxy_clausification,[],[f304])). 2.12/0.64 thf(f304,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((X5 @ X7) = $false) | ((sK0 @ X2 @ X6) = $false) | ($true = (~ (sK0 @ X1 @ X8))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0)))))) | ($true = (X5 @ (sK19 @ X5 @ X6))) | ((sK0 @ X2 @ X7) = $false) | ((sK0 @ X1 @ X4) = $false) | ($true = (X3 @ X4))) )), 2.12/0.64 inference(binary_proxy_clausification,[],[f303])). 2.12/0.64 thf(f303,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = (X5 @ (sK19 @ X5 @ X6))) | ((sK0 @ X2 @ X7) = $false) | ((sK0 @ X2 @ X6) = $false) | ($true = ((~ (sK0 @ X1 @ X8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0))))))) | ($true = (X3 @ X4)) | ((sK0 @ X1 @ X4) = $false) | ((X5 @ X7) = $false)) )), 2.12/0.64 inference(not_proxy_clausification,[],[f302])). 2.12/0.64 thf(f302,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = (~ (sK0 @ X2 @ X7))) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X1 @ X4) = $false) | ((X5 @ X7) = $false) | ($true = (X5 @ (sK19 @ X5 @ X6))) | ($true = (X3 @ X4)) | ($true = ((~ (sK0 @ X1 @ X8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0)))))))) )), 2.12/0.64 inference(not_proxy_clausification,[],[f290])). 2.12/0.64 thf(f290,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((X5 @ X7) = $false) | ($true = (X3 @ X4)) | ((~ (X5 @ (sK19 @ X5 @ X6))) = $false) | ($true = (~ (sK0 @ X2 @ X7))) | ($true = ((~ (sK0 @ X1 @ X8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X3 @ Y0))))))) | ((sK0 @ X2 @ X6) = $false) | ((sK0 @ X1 @ X4) = $false)) )), 2.12/0.64 inference(binary_proxy_clausification,[],[f289])). 2.12/0.64 thf(f318,plain,( 2.12/0.64 spl1_1 | spl1_2), 2.12/0.64 inference(avatar_split_clause,[],[f309,f316,f313])). 2.12/0.64 thf(f309,plain,( 2.12/0.64 ( ! [X2 : $i,X3 : $i > $o,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = (X3 @ X4)) | ((sK0 @ X2 @ X7) = $false) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X2 @ X6) = $false) | ($true = (X5 @ (sK19 @ X5 @ X6))) | ((X3 @ (sK21 @ X3 @ X8)) = $false) | ((sK0 @ X1 @ X4) = $false) | ((X5 @ X7) = $false)) )), 2.12/0.64 inference(binary_proxy_clausification,[],[f308])). 2.12/0.64 % SZS output end Proof for Vampire---4 2.12/0.64 % (28338)------------------------------ 2.12/0.64 % (28338)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.12/0.64 % (28338)Termination reason: Refutation 2.12/0.64 2.12/0.64 % (28338)Memory used [KB]: 7291 2.12/0.64 % (28338)Time elapsed: 0.208 s 2.12/0.64 % (28338)Instructions burned: 497 (million) 2.12/0.64 % (28338)------------------------------ 2.12/0.64 % (28338)------------------------------ 2.12/0.64 % (28324)Success in time 0.281 s 2.12/0.64 % Vampire---4.8 exiting 2.12/0.64 EOF