0.12/0.13 % Problem : Vampire---4.8_13479 : TPTP v0.0.0. Released v0.0.0. 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.14/0.36 % Computer : n015.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1440 0.14/0.36 % WCLimit : 180 0.14/0.36 % DateTime : Mon Jul 3 13:10:40 EDT 2023 0.14/0.36 % CPUTime : 0.14/0.36 This is a THF_ problem 0.14/0.37 Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.1wmOCxOr4s/Vampire---4.8_13479 -m 12000 -t 180 0.14/0.39 % (13670)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.14/0.39 % (13672)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) 0.14/0.39 % (13673)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.14/0.39 % (13669)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.14/0.39 % (13671)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) 0.14/0.39 % (13674)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) 0.14/0.39 % (13675)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) 0.14/0.39 % (13676)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) 0.14/0.39 % (13675)Instruction limit reached! 0.14/0.39 % (13675)------------------------------ 0.14/0.39 % (13675)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.39 % (13675)Termination reason: Unknown 0.14/0.39 % (13675)Termination phase: shuffling 0.14/0.39 0.14/0.39 % (13675)Memory used [KB]: 1023 0.14/0.39 % (13675)Time elapsed: 0.004 s 0.14/0.39 % (13675)Instructions burned: 5 (million) 0.14/0.39 % (13675)------------------------------ 0.14/0.39 % (13675)------------------------------ 0.14/0.39 % (13676)Refutation not found, incomplete strategy 0.14/0.39 % (13676)------------------------------ 0.14/0.39 % (13676)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.39 % (13676)Termination reason: Refutation not found, incomplete strategy 0.14/0.39 0.14/0.39 0.14/0.39 % (13676)Memory used [KB]: 5628 0.14/0.39 % (13676)Time elapsed: 0.008 s 0.14/0.39 % (13676)Instructions burned: 12 (million) 0.14/0.39 % (13676)------------------------------ 0.14/0.39 % (13676)------------------------------ 0.14/0.40 % (13673)Instruction limit reached! 0.14/0.40 % (13673)------------------------------ 0.14/0.40 % (13673)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.40 % (13673)Termination reason: Unknown 0.14/0.40 % (13673)Termination phase: Saturation 0.14/0.40 0.14/0.40 % (13673)Memory used [KB]: 5628 0.14/0.40 % (13673)Time elapsed: 0.011 s 0.14/0.40 % (13673)Instructions burned: 19 (million) 0.14/0.40 % (13673)------------------------------ 0.14/0.40 % (13673)------------------------------ 0.14/0.40 % (13671)Instruction limit reached! 0.14/0.40 % (13671)------------------------------ 0.14/0.40 % (13671)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.40 % (13671)Termination reason: Unknown 0.14/0.40 % (13671)Termination phase: Saturation 0.14/0.40 0.14/0.40 % (13671)Memory used [KB]: 5628 0.14/0.40 % (13671)Time elapsed: 0.017 s 0.14/0.40 % (13671)Instructions burned: 36 (million) 0.14/0.40 % (13671)------------------------------ 0.14/0.40 % (13671)------------------------------ 0.14/0.40 % (13670)Instruction limit reached! 0.14/0.40 % (13670)------------------------------ 0.14/0.40 % (13670)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.40 % (13670)Termination reason: Unknown 0.14/0.40 % (13670)Termination phase: Saturation 0.14/0.40 0.14/0.40 % (13670)Memory used [KB]: 5756 0.14/0.40 % (13670)Time elapsed: 0.019 s 0.14/0.40 % (13670)Instructions burned: 36 (million) 0.14/0.40 % (13670)------------------------------ 0.14/0.40 % (13670)------------------------------ 0.14/0.40 % (13682)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) 0.14/0.41 % (13684)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.14/0.41 % (13685)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) 0.14/0.41 % (13684)Instruction limit reached! 0.14/0.41 % (13684)------------------------------ 0.14/0.41 % (13684)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.41 % (13684)Termination reason: Unknown 0.14/0.41 % (13684)Termination phase: Preprocessing 3 0.14/0.41 0.14/0.41 % (13684)Memory used [KB]: 1151 0.14/0.41 % (13684)Time elapsed: 0.006 s 0.14/0.41 % (13684)Instructions burned: 8 (million) 0.14/0.41 % (13684)------------------------------ 0.14/0.41 % (13684)------------------------------ 0.14/0.41 % (13682)Instruction limit reached! 0.14/0.41 % (13682)------------------------------ 0.14/0.41 % (13682)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.42 % (13682)Termination reason: Unknown 0.14/0.42 % (13682)Termination phase: Saturation 0.14/0.42 0.14/0.42 % (13682)Memory used [KB]: 5628 0.14/0.42 % (13682)Time elapsed: 0.012 s 0.14/0.42 % (13682)Instructions burned: 22 (million) 0.14/0.42 % (13682)------------------------------ 0.14/0.42 % (13682)------------------------------ 0.14/0.42 % (13689)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) 0.14/0.42 % (13691)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) 0.14/0.42 % (13691)Instruction limit reached! 0.14/0.42 % (13691)------------------------------ 0.14/0.42 % (13691)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.42 % (13691)Termination reason: Unknown 0.14/0.42 % (13691)Termination phase: Property scanning 0.14/0.42 0.14/0.42 % (13691)Memory used [KB]: 1151 0.14/0.42 % (13691)Time elapsed: 0.007 s 0.14/0.42 % (13691)Instructions burned: 10 (million) 0.14/0.42 % (13691)------------------------------ 0.14/0.42 % (13691)------------------------------ 0.14/0.42 % (13674)Instruction limit reached! 0.14/0.42 % (13674)------------------------------ 0.14/0.42 % (13674)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.42 % (13674)Termination reason: Unknown 0.14/0.42 % (13674)Termination phase: Saturation 0.14/0.42 0.14/0.42 % (13674)Memory used [KB]: 5884 0.14/0.42 % (13674)Time elapsed: 0.039 s 0.14/0.42 % (13674)Instructions burned: 74 (million) 0.14/0.42 % (13674)------------------------------ 0.14/0.42 % (13674)------------------------------ 0.21/0.43 % (13696)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi) 0.21/0.43 % (13698)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi) 0.21/0.43 % (13669)Instruction limit reached! 0.21/0.43 % (13669)------------------------------ 0.21/0.43 % (13669)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.43 % (13669)Termination reason: Unknown 0.21/0.43 % (13669)Termination phase: Saturation 0.21/0.43 0.21/0.43 % (13669)Memory used [KB]: 5884 0.21/0.43 % (13669)Time elapsed: 0.049 s 0.21/0.43 % (13669)Instructions burned: 96 (million) 0.21/0.43 % (13669)------------------------------ 0.21/0.43 % (13669)------------------------------ 0.21/0.44 % (13701)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.21/0.44 % (13702)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.21/0.44 % (13702)Instruction limit reached! 0.21/0.44 % (13702)------------------------------ 0.21/0.44 % (13702)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.44 % (13702)Termination reason: Unknown 0.21/0.44 % (13702)Termination phase: Property scanning 0.21/0.44 0.21/0.44 % (13702)Memory used [KB]: 1151 0.21/0.44 % (13702)Time elapsed: 0.009 s 0.21/0.44 % (13702)Instructions burned: 14 (million) 0.21/0.45 % (13702)------------------------------ 0.21/0.45 % (13702)------------------------------ 0.21/0.45 % (13707)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1799ds/2Mi) 0.21/0.45 % (13707)Instruction limit reached! 0.21/0.45 % (13707)------------------------------ 0.21/0.45 % (13707)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.45 % (13707)Termination reason: Unknown 0.21/0.45 % (13707)Termination phase: shuffling 0.21/0.45 0.21/0.45 % (13707)Memory used [KB]: 1023 0.21/0.45 % (13707)Time elapsed: 0.003 s 0.21/0.45 % (13707)Instructions burned: 2 (million) 0.21/0.45 % (13707)------------------------------ 0.21/0.45 % (13707)------------------------------ 0.21/0.46 % (13689)Instruction limit reached! 0.21/0.46 % (13689)------------------------------ 0.21/0.46 % (13689)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.46 % (13689)Termination reason: Unknown 0.21/0.46 % (13689)Termination phase: Saturation 0.21/0.46 0.21/0.46 % (13689)Memory used [KB]: 5884 0.21/0.46 % (13689)Time elapsed: 0.041 s 0.21/0.46 % (13689)Instructions burned: 71 (million) 0.21/0.46 % (13689)------------------------------ 0.21/0.46 % (13689)------------------------------ 0.21/0.46 % (13710)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (1799ds/1041Mi) 0.21/0.46 % (13712)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) 0.21/0.46 % (13701)Instruction limit reached! 0.21/0.46 % (13701)------------------------------ 0.21/0.46 % (13701)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.46 % (13701)Termination reason: Unknown 0.21/0.46 % (13701)Termination phase: Saturation 0.21/0.46 0.21/0.46 % (13701)Memory used [KB]: 5756 0.21/0.46 % (13701)Time elapsed: 0.029 s 0.21/0.46 % (13701)Instructions burned: 62 (million) 0.21/0.46 % (13701)------------------------------ 0.21/0.46 % (13701)------------------------------ 0.21/0.47 % (13712)Instruction limit reached! 0.21/0.47 % (13712)------------------------------ 0.21/0.47 % (13712)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.47 % (13712)Termination reason: Unknown 0.21/0.47 % (13712)Termination phase: Function definition elimination 0.21/0.47 0.21/0.47 % (13712)Memory used [KB]: 1151 0.21/0.47 % (13712)Time elapsed: 0.007 s 0.21/0.47 % (13712)Instructions burned: 11 (million) 0.21/0.47 % (13712)------------------------------ 0.21/0.47 % (13712)------------------------------ 0.21/0.47 % (13718)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) 0.21/0.48 % (13727)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (1799ds/26Mi) 0.21/0.48 % (13718)Refutation not found, incomplete strategy 0.21/0.48 % (13718)------------------------------ 0.21/0.48 % (13718)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.48 % (13718)Termination reason: Refutation not found, incomplete strategy 0.21/0.48 0.21/0.48 0.21/0.48 % (13718)Memory used [KB]: 5628 0.21/0.48 % (13718)Time elapsed: 0.013 s 0.21/0.48 % (13718)Instructions burned: 23 (million) 0.21/0.48 % (13718)------------------------------ 0.21/0.48 % (13718)------------------------------ 0.21/0.48 % (13730)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1799ds/56Mi) 0.21/0.49 % (13698)Instruction limit reached! 0.21/0.49 % (13698)------------------------------ 0.21/0.49 % (13698)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.49 % (13698)Termination reason: Unknown 0.21/0.49 % (13698)Termination phase: Saturation 0.21/0.49 0.21/0.49 % (13698)Memory used [KB]: 6012 0.21/0.49 % (13698)Time elapsed: 0.062 s 0.21/0.49 % (13698)Instructions burned: 129 (million) 0.21/0.49 % (13698)------------------------------ 0.21/0.49 % (13698)------------------------------ 0.21/0.49 % (13727)Instruction limit reached! 0.21/0.49 % (13727)------------------------------ 0.21/0.49 % (13727)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.49 % (13727)Termination reason: Unknown 0.21/0.49 % (13727)Termination phase: Saturation 0.21/0.49 0.21/0.49 % (13727)Memory used [KB]: 5628 0.21/0.49 % (13727)Time elapsed: 0.013 s 0.21/0.49 % (13727)Instructions burned: 27 (million) 0.21/0.49 % (13727)------------------------------ 0.21/0.49 % (13727)------------------------------ 0.21/0.50 % (13739)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) 0.21/0.50 % (13746)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) 0.21/0.50 % (13745)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) 0.21/0.50 % (13745)Instruction limit reached! 0.21/0.50 % (13745)------------------------------ 0.21/0.50 % (13745)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.50 % (13745)Termination reason: Unknown 0.21/0.50 % (13745)Termination phase: shuffling 0.21/0.50 0.21/0.50 % (13745)Memory used [KB]: 1023 0.21/0.50 % (13745)Time elapsed: 0.003 s 0.21/0.50 % (13745)Instructions burned: 4 (million) 0.21/0.50 % (13745)------------------------------ 0.21/0.50 % (13745)------------------------------ 0.21/0.50 % (13730)Instruction limit reached! 0.21/0.50 % (13730)------------------------------ 0.21/0.50 % (13730)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.50 % (13730)Termination reason: Unknown 0.21/0.50 % (13730)Termination phase: Saturation 0.21/0.50 0.21/0.50 % (13730)Memory used [KB]: 1279 0.21/0.50 % (13730)Time elapsed: 0.023 s 0.21/0.50 % (13730)Instructions burned: 56 (million) 0.21/0.50 % (13730)------------------------------ 0.21/0.50 % (13730)------------------------------ 0.21/0.51 % (13746)Instruction limit reached! 0.21/0.51 % (13746)------------------------------ 0.21/0.51 % (13746)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.51 % (13746)Termination reason: Unknown 0.21/0.51 % (13746)Termination phase: Saturation 0.21/0.51 0.21/0.51 % (13746)Memory used [KB]: 5628 0.21/0.51 % (13746)Time elapsed: 0.007 s 0.21/0.51 % (13746)Instructions burned: 20 (million) 0.21/0.51 % (13746)------------------------------ 0.21/0.51 % (13746)------------------------------ 0.21/0.51 % (13757)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) 0.21/0.51 % (13759)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) 0.21/0.51 % (13760)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) 0.21/0.52 % (13757)Instruction limit reached! 0.21/0.52 % (13757)------------------------------ 0.21/0.52 % (13757)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.52 % (13757)Termination reason: Unknown 0.21/0.52 % (13757)Termination phase: Saturation 0.21/0.52 0.21/0.52 % (13757)Memory used [KB]: 1151 0.21/0.52 % (13757)Time elapsed: 0.012 s 0.21/0.52 % (13757)Instructions burned: 45 (million) 0.21/0.52 % (13757)------------------------------ 0.21/0.52 % (13757)------------------------------ 0.21/0.53 % (13672)Instruction limit reached! 0.21/0.53 % (13672)------------------------------ 0.21/0.53 % (13672)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.53 % (13672)Termination reason: Unknown 0.21/0.53 % (13672)Termination phase: Saturation 0.21/0.53 0.21/0.53 % (13672)Memory used [KB]: 7164 0.21/0.53 % (13672)Time elapsed: 0.143 s 0.21/0.53 % (13672)Instructions burned: 385 (million) 0.21/0.53 % (13672)------------------------------ 0.21/0.53 % (13672)------------------------------ 0.21/0.53 % (13772)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) 0.21/0.53 % (13760)Instruction limit reached! 0.21/0.53 % (13760)------------------------------ 0.21/0.53 % (13760)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.53 % (13760)Termination reason: Unknown 0.21/0.53 % (13760)Termination phase: Saturation 0.21/0.53 0.21/0.53 % (13760)Memory used [KB]: 5884 0.21/0.53 % (13760)Time elapsed: 0.020 s 0.21/0.53 % (13760)Instructions burned: 63 (million) 0.21/0.53 % (13760)------------------------------ 0.21/0.53 % (13760)------------------------------ 0.21/0.54 % (13778)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) 0.21/0.54 % (13778)Instruction limit reached! 0.21/0.54 % (13778)------------------------------ 0.21/0.54 % (13778)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.54 % (13778)Termination reason: Unknown 0.21/0.54 % (13778)Termination phase: shuffling 0.21/0.54 0.21/0.54 % (13778)Memory used [KB]: 1023 0.21/0.54 % (13778)Time elapsed: 0.002 s 0.21/0.54 % (13778)Instructions burned: 3 (million) 0.21/0.54 % (13778)------------------------------ 0.21/0.54 % (13778)------------------------------ 0.21/0.54 % (13783)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) 0.21/0.55 % (13785)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) 0.21/0.55 % (13785)Instruction limit reached! 0.21/0.55 % (13785)------------------------------ 0.21/0.55 % (13785)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.55 % (13785)Termination reason: Unknown 0.21/0.55 % (13785)Termination phase: shuffling 0.21/0.55 0.21/0.55 % (13785)Memory used [KB]: 1023 0.21/0.55 % (13785)Time elapsed: 0.002 s 0.21/0.55 % (13785)Instructions burned: 3 (million) 0.21/0.55 % (13785)------------------------------ 0.21/0.55 % (13785)------------------------------ 0.21/0.55 % (13788)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) 0.21/0.56 % (13788)Instruction limit reached! 0.21/0.56 % (13788)------------------------------ 0.21/0.56 % (13788)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.56 % (13788)Termination reason: Unknown 0.21/0.56 % (13788)Termination phase: Property scanning 0.21/0.56 0.21/0.56 % (13788)Memory used [KB]: 1023 0.21/0.56 % (13788)Time elapsed: 0.003 s 0.21/0.56 % (13788)Instructions burned: 6 (million) 0.21/0.56 % (13788)------------------------------ 0.21/0.56 % (13788)------------------------------ 1.64/0.56 % (13772)Instruction limit reached! 1.64/0.56 % (13772)------------------------------ 1.64/0.56 % (13772)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.64/0.56 % (13772)Termination reason: Unknown 1.64/0.56 % (13772)Termination phase: Saturation 1.64/0.56 1.64/0.56 % (13772)Memory used [KB]: 5884 1.64/0.56 % (13772)Time elapsed: 0.031 s 1.64/0.56 % (13772)Instructions burned: 105 (million) 1.64/0.56 % (13772)------------------------------ 1.64/0.56 % (13772)------------------------------ 1.64/0.56 % (13794)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on Vampire---4 for (1798ds/149Mi) 1.64/0.57 % (13798)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) 1.64/0.58 % (13759)Instruction limit reached! 1.64/0.58 % (13759)------------------------------ 1.64/0.58 % (13759)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.64/0.58 % (13759)Termination reason: Unknown 1.64/0.58 % (13759)Termination phase: Saturation 1.64/0.58 1.64/0.58 % (13759)Memory used [KB]: 6524 1.64/0.58 % (13759)Time elapsed: 0.055 s 1.64/0.58 % (13739)Instruction limit reached! 1.64/0.58 % (13739)------------------------------ 1.64/0.58 % (13739)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.64/0.58 % (13759)Instructions burned: 193 (million) 1.64/0.58 % (13759)------------------------------ 1.64/0.58 % (13759)------------------------------ 1.64/0.58 % (13739)Termination reason: Unknown 1.64/0.58 % (13739)Termination phase: Saturation 1.64/0.58 1.64/0.58 % (13739)Memory used [KB]: 6652 1.64/0.58 % (13739)Time elapsed: 0.082 s 1.64/0.58 % (13739)Instructions burned: 277 (million) 1.64/0.58 % (13739)------------------------------ 1.64/0.58 % (13739)------------------------------ 1.76/0.58 % (13808)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (1798ds/39Mi) 1.76/0.59 % (13807)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) 1.76/0.59 % (13808)Instruction limit reached! 1.76/0.59 % (13808)------------------------------ 1.76/0.59 % (13808)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.76/0.59 % (13808)Termination reason: Unknown 1.76/0.59 % (13808)Termination phase: Saturation 1.76/0.59 1.76/0.59 % (13808)Memory used [KB]: 5628 1.76/0.59 % (13808)Time elapsed: 0.011 s 1.76/0.59 % (13808)Instructions burned: 40 (million) 1.76/0.59 % (13808)------------------------------ 1.76/0.59 % (13808)------------------------------ 1.76/0.60 % (13807)Refutation not found, incomplete strategy 1.76/0.60 % (13807)------------------------------ 1.76/0.60 % (13807)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.76/0.60 % (13807)Termination reason: Refutation not found, incomplete strategy 1.76/0.60 1.76/0.60 1.76/0.60 % (13807)Memory used [KB]: 5756 1.76/0.60 % (13807)Time elapsed: 0.011 s 1.76/0.60 % (13807)Instructions burned: 36 (million) 1.76/0.60 % (13807)------------------------------ 1.76/0.60 % (13807)------------------------------ 1.76/0.60 % (13815)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) 1.76/0.61 % (13817)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) 1.76/0.61 % (13817)Instruction limit reached! 1.76/0.61 % (13817)------------------------------ 1.76/0.61 % (13817)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.76/0.61 % (13817)Termination reason: Unknown 1.76/0.61 % (13817)Termination phase: shuffling 1.76/0.61 1.76/0.61 % (13817)Memory used [KB]: 1023 1.76/0.61 % (13817)Time elapsed: 0.003 s 1.76/0.61 % (13817)Instructions burned: 4 (million) 1.76/0.61 % (13817)------------------------------ 1.76/0.61 % (13817)------------------------------ 1.76/0.61 % (13783)Instruction limit reached! 1.76/0.61 % (13783)------------------------------ 1.76/0.61 % (13783)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.76/0.61 % (13783)Termination reason: Unknown 1.76/0.61 % (13783)Termination phase: Saturation 1.76/0.61 1.76/0.61 % (13783)Memory used [KB]: 6140 1.76/0.61 % (13783)Time elapsed: 0.070 s 1.76/0.61 % (13783)Instructions burned: 238 (million) 1.76/0.61 % (13783)------------------------------ 1.76/0.61 % (13783)------------------------------ 1.76/0.61 % (13815)Refutation not found, incomplete strategy 1.76/0.61 % (13815)------------------------------ 1.76/0.61 % (13815)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.76/0.61 % (13815)Termination reason: Refutation not found, incomplete strategy 1.76/0.61 1.76/0.61 1.76/0.61 % (13815)Memory used [KB]: 5628 1.76/0.61 % (13815)Time elapsed: 0.009 s 1.76/0.61 % (13815)Instructions burned: 25 (million) 1.76/0.61 % (13815)------------------------------ 1.76/0.61 % (13815)------------------------------ 1.76/0.61 % (13798)Instruction limit reached! 1.76/0.61 % (13798)------------------------------ 1.76/0.61 % (13798)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.76/0.61 % (13798)Termination reason: Unknown 1.76/0.61 % (13798)Termination phase: Saturation 1.76/0.61 1.76/0.61 % (13798)Memory used [KB]: 5884 1.76/0.61 % (13798)Time elapsed: 0.064 s 1.76/0.61 % (13798)Instructions burned: 150 (million) 1.76/0.61 % (13798)------------------------------ 1.76/0.61 % (13798)------------------------------ 1.76/0.62 % (13819)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) 1.76/0.62 % (13794)Instruction limit reached! 1.76/0.62 % (13794)------------------------------ 1.76/0.62 % (13794)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.76/0.62 % (13794)Termination reason: Unknown 1.76/0.62 % (13794)Termination phase: Saturation 1.76/0.62 1.76/0.62 % (13794)Memory used [KB]: 6140 1.76/0.62 % (13794)Time elapsed: 0.076 s 1.76/0.62 % (13794)Instructions burned: 150 (million) 1.76/0.62 % (13794)------------------------------ 1.76/0.62 % (13794)------------------------------ 1.76/0.62 % (13822)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) 1.76/0.62 % (13823)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on Vampire---4 for (1797ds/448Mi) 1.76/0.62 % (13824)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (1797ds/6Mi) 1.76/0.62 % (13824)Instruction limit reached! 1.76/0.62 % (13824)------------------------------ 1.76/0.62 % (13824)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.76/0.62 % (13824)Termination reason: Unknown 1.76/0.62 % (13824)Termination phase: Property scanning 1.76/0.62 1.76/0.62 % (13824)Memory used [KB]: 1023 1.76/0.62 % (13824)Time elapsed: 0.003 s 1.76/0.62 % (13824)Instructions burned: 7 (million) 1.76/0.62 % (13824)------------------------------ 1.76/0.62 % (13824)------------------------------ 1.76/0.62 % (13819)Instruction limit reached! 1.76/0.62 % (13819)------------------------------ 1.76/0.62 % (13819)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.76/0.62 % (13819)Termination reason: Unknown 1.76/0.62 % (13819)Termination phase: Saturation 1.76/0.62 1.76/0.62 % (13819)Memory used [KB]: 5628 1.76/0.62 % (13819)Time elapsed: 0.008 s 1.76/0.62 % (13819)Instructions burned: 20 (million) 1.76/0.62 % (13819)------------------------------ 1.76/0.62 % (13819)------------------------------ 2.13/0.63 % (13828)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=9:si=on:rtra=on_0 on Vampire---4 for (1797ds/9Mi) 2.13/0.63 % (13828)Instruction limit reached! 2.13/0.63 % (13828)------------------------------ 2.13/0.63 % (13828)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.13/0.63 % (13828)Termination reason: Unknown 2.13/0.63 % (13828)Termination phase: Function definition elimination 2.13/0.63 2.13/0.63 % (13828)Memory used [KB]: 1151 2.13/0.63 % (13828)Time elapsed: 0.004 s 2.13/0.63 % (13828)Instructions burned: 11 (million) 2.13/0.63 % (13828)------------------------------ 2.13/0.63 % (13828)------------------------------ 2.13/0.63 % (13829)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (1797ds/16Mi) 2.13/0.63 % (13830)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=40:si=on:rtra=on_0 on Vampire---4 for (1797ds/40Mi) 2.13/0.64 % (13829)Instruction limit reached! 2.13/0.64 % (13829)------------------------------ 2.13/0.64 % (13829)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.13/0.64 % (13829)Termination reason: Unknown 2.13/0.64 % (13829)Termination phase: Saturation 2.13/0.64 2.13/0.64 % (13829)Memory used [KB]: 5628 2.13/0.64 % (13829)Time elapsed: 0.006 s 2.13/0.64 % (13829)Instructions burned: 17 (million) 2.13/0.64 % (13829)------------------------------ 2.13/0.64 % (13829)------------------------------ 2.13/0.64 % (13835)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (1797ds/2Mi) 2.13/0.64 % (13835)Instruction limit reached! 2.13/0.64 % (13835)------------------------------ 2.13/0.64 % (13835)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.13/0.64 % (13835)Termination reason: Unknown 2.13/0.64 % (13835)Termination phase: shuffling 2.13/0.64 2.13/0.64 % (13835)Memory used [KB]: 1023 2.13/0.64 % (13835)Time elapsed: 0.002 s 2.13/0.64 % (13835)Instructions burned: 4 (million) 2.13/0.64 % (13835)------------------------------ 2.13/0.64 % (13835)------------------------------ 2.13/0.64 % (13830)Instruction limit reached! 2.13/0.64 % (13830)------------------------------ 2.13/0.64 % (13830)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.13/0.64 % (13830)Termination reason: Unknown 2.13/0.64 % (13830)Termination phase: Saturation 2.13/0.64 2.13/0.64 % (13830)Memory used [KB]: 5628 2.13/0.64 % (13830)Time elapsed: 0.011 s 2.13/0.64 % (13830)Instructions burned: 41 (million) 2.13/0.64 % (13830)------------------------------ 2.13/0.64 % (13830)------------------------------ 2.24/0.64 % (13836)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on Vampire---4 for (1797ds/98Mi) 2.24/0.65 % (13837)lrs+1004_1:1_chr=on:prag=on:i=8:si=on:rtra=on_0 on Vampire---4 for (1797ds/8Mi) 2.24/0.65 % (13838)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on Vampire---4 for (1797ds/86Mi) 2.24/0.65 % (13837)Instruction limit reached! 2.24/0.65 % (13837)------------------------------ 2.24/0.65 % (13837)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.24/0.65 % (13837)Termination reason: Unknown 2.24/0.65 % (13837)Termination phase: Function definition elimination 2.24/0.65 2.24/0.65 % (13837)Memory used [KB]: 1151 2.24/0.65 % (13837)Time elapsed: 0.004 s 2.24/0.65 % (13837)Instructions burned: 11 (million) 2.24/0.65 % (13837)------------------------------ 2.24/0.65 % (13837)------------------------------ 2.24/0.66 % (13839)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (1797ds/3Mi) 2.24/0.66 % (13839)Instruction limit reached! 2.24/0.66 % (13839)------------------------------ 2.24/0.66 % (13839)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.24/0.66 % (13839)Termination reason: Unknown 2.24/0.66 % (13839)Termination phase: shuffling 2.24/0.66 2.24/0.66 % (13839)Memory used [KB]: 1023 2.24/0.66 % (13839)Time elapsed: 0.003 s 2.24/0.66 % (13839)Instructions burned: 6 (million) 2.24/0.66 % (13839)------------------------------ 2.24/0.66 % (13839)------------------------------ 2.24/0.67 % (13840)lrs+1010_1:1024_au=on:hud=10:ntd=on:ss=included:i=294:si=on:rtra=on_0 on Vampire---4 for (1797ds/294Mi) 2.24/0.67 % (13838)Instruction limit reached! 2.24/0.67 % (13838)------------------------------ 2.24/0.67 % (13838)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.24/0.67 % (13838)Termination reason: Unknown 2.24/0.67 % (13838)Termination phase: Saturation 2.24/0.67 2.24/0.67 % (13838)Memory used [KB]: 5884 2.24/0.67 % (13838)Time elapsed: 0.023 s 2.24/0.67 % (13838)Instructions burned: 86 (million) 2.24/0.67 % (13838)------------------------------ 2.24/0.67 % (13838)------------------------------ 2.24/0.67 % (13836)Instruction limit reached! 2.24/0.67 % (13836)------------------------------ 2.24/0.67 % (13836)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.24/0.67 % (13836)Termination reason: Unknown 2.24/0.67 % (13836)Termination phase: Saturation 2.24/0.67 2.24/0.67 % (13836)Memory used [KB]: 1279 2.24/0.67 % (13836)Time elapsed: 0.030 s 2.24/0.67 % (13836)Instructions burned: 99 (million) 2.24/0.67 % (13836)------------------------------ 2.24/0.67 % (13836)------------------------------ 2.24/0.68 % (13843)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=274:si=on:rtra=on_0 on Vampire---4 for (1796ds/274Mi) 2.24/0.68 % (13822)Instruction limit reached! 2.24/0.68 % (13822)------------------------------ 2.24/0.68 % (13822)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.24/0.68 % (13822)Termination reason: Unknown 2.24/0.68 % (13822)Termination phase: Saturation 2.24/0.68 2.24/0.68 % (13822)Memory used [KB]: 6268 2.24/0.68 % (13822)Time elapsed: 0.063 s 2.24/0.68 % (13822)Instructions burned: 219 (million) 2.24/0.68 % (13822)------------------------------ 2.24/0.68 % (13822)------------------------------ 2.24/0.68 % (13844)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (1796ds/47Mi) 2.24/0.69 % (13849)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (1796ds/37Mi) 2.24/0.69 % (13844)Instruction limit reached! 2.24/0.69 % (13844)------------------------------ 2.24/0.69 % (13844)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.24/0.69 % (13844)Termination reason: Unknown 2.24/0.69 % (13844)Termination phase: Saturation 2.24/0.69 2.24/0.69 % (13844)Memory used [KB]: 5628 2.24/0.69 % (13844)Time elapsed: 0.013 s 2.24/0.69 % (13844)Instructions burned: 50 (million) 2.24/0.69 % (13844)------------------------------ 2.24/0.69 % (13844)------------------------------ 2.24/0.70 % (13849)Instruction limit reached! 2.24/0.70 % (13849)------------------------------ 2.24/0.70 % (13849)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.24/0.70 % (13849)Termination reason: Unknown 2.24/0.70 % (13849)Termination phase: Saturation 2.24/0.70 2.24/0.70 % (13849)Memory used [KB]: 5756 2.24/0.70 % (13849)Time elapsed: 0.011 s 2.24/0.70 % (13849)Instructions burned: 38 (million) 2.24/0.70 % (13849)------------------------------ 2.24/0.70 % (13849)------------------------------ 2.24/0.70 % (13854)lrs+1002_1:16_av=off:e2e=on:fe=axiom:prag=on:sos=on:ss=axioms:i=3:si=on:rtra=on_0 on Vampire---4 for (1796ds/3Mi) 2.24/0.70 % (13854)Instruction limit reached! 2.24/0.70 % (13854)------------------------------ 2.24/0.70 % (13854)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.24/0.70 % (13854)Termination reason: Unknown 2.24/0.70 % (13854)Termination phase: shuffling 2.24/0.70 2.24/0.70 % (13854)Memory used [KB]: 1023 2.24/0.70 % (13854)Time elapsed: 0.002 s 2.24/0.70 % (13854)Instructions burned: 4 (million) 2.24/0.70 % (13854)------------------------------ 2.24/0.70 % (13854)------------------------------ 2.24/0.71 % (13856)lrs+10_8:1_au=on:e2e=on:hfsq=on:hfsqc=1:ins=3:s2a=on:s2at=3.0:ss=axioms:i=19:si=on:rtra=on_0 on Vampire---4 for (1796ds/19Mi) 2.24/0.71 % (13858)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:i=5:si=on:rtra=on_0 on Vampire---4 for (1796ds/5Mi) 2.24/0.71 % (13858)Instruction limit reached! 2.24/0.71 % (13858)------------------------------ 2.24/0.71 % (13858)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.24/0.71 % (13858)Termination reason: Unknown 2.24/0.71 % (13858)Termination phase: Preprocessing 1 2.24/0.71 2.24/0.71 % (13858)Memory used [KB]: 1023 2.24/0.71 % (13858)Time elapsed: 0.003 s 2.24/0.71 % (13858)Instructions burned: 7 (million) 2.24/0.71 % (13858)------------------------------ 2.24/0.71 % (13858)------------------------------ 2.24/0.71 % (13856)Instruction limit reached! 2.24/0.71 % (13856)------------------------------ 2.24/0.71 % (13856)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.24/0.71 % (13856)Termination reason: Unknown 2.24/0.71 % (13856)Termination phase: Saturation 2.24/0.71 2.24/0.71 % (13856)Memory used [KB]: 5628 2.24/0.71 % (13856)Time elapsed: 0.007 s 2.24/0.71 % (13856)Instructions burned: 23 (million) 2.24/0.71 % (13856)------------------------------ 2.24/0.71 % (13856)------------------------------ 2.68/0.72 % (13861)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=44:si=on:rtra=on_0 on Vampire---4 for (1796ds/44Mi) 2.68/0.72 % (13862)ott+21_1:3_bd=off:cnfonf=lazy_gen:fe=off:hfsq=on:hfsqc=3:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=450:si=on:rtra=on_0 on Vampire---4 for (1796ds/450Mi) 2.68/0.73 % (13861)Instruction limit reached! 2.68/0.73 % (13861)------------------------------ 2.68/0.73 % (13861)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.68/0.73 % (13861)Termination reason: Unknown 2.68/0.73 % (13861)Termination phase: Saturation 2.68/0.73 2.68/0.73 % (13861)Memory used [KB]: 10234 2.68/0.73 % (13861)Time elapsed: 0.014 s 2.68/0.73 % (13861)Instructions burned: 45 (million) 2.68/0.73 % (13861)------------------------------ 2.68/0.73 % (13861)------------------------------ 2.68/0.74 % (13868)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=102:si=on:rtra=on_0 on Vampire---4 for (1796ds/102Mi) 2.68/0.75 % (13685)Instruction limit reached! 2.68/0.75 % (13685)------------------------------ 2.68/0.75 % (13685)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.68/0.75 % (13685)Termination reason: Unknown 2.68/0.75 % (13685)Termination phase: Saturation 2.68/0.75 2.68/0.75 % (13685)Memory used [KB]: 12792 2.68/0.75 % (13685)Time elapsed: 0.338 s 2.68/0.75 % (13685)Instructions burned: 1023 (million) 2.68/0.75 % (13685)------------------------------ 2.68/0.75 % (13685)------------------------------ 2.68/0.75 % (13840)Instruction limit reached! 2.68/0.75 % (13840)------------------------------ 2.68/0.75 % (13840)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.68/0.75 % (13840)Termination reason: Unknown 2.68/0.75 % (13840)Termination phase: Saturation 2.68/0.75 2.68/0.75 % (13840)Memory used [KB]: 6780 2.68/0.75 % (13840)Time elapsed: 0.084 s 2.68/0.75 % (13840)Instructions burned: 297 (million) 2.68/0.75 % (13840)------------------------------ 2.68/0.75 % (13840)------------------------------ 2.68/0.75 % (13875)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on Vampire---4 for (1796ds/134Mi) 2.68/0.76 % (13823)Instruction limit reached! 2.68/0.76 % (13823)------------------------------ 2.68/0.76 % (13823)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.68/0.76 % (13823)Termination reason: Unknown 2.68/0.76 % (13823)Termination phase: Saturation 2.68/0.76 2.68/0.76 % (13823)Memory used [KB]: 6652 2.68/0.76 % (13823)Time elapsed: 0.137 s 2.68/0.76 % (13823)Instructions burned: 450 (million) 2.68/0.76 % (13823)------------------------------ 2.68/0.76 % (13823)------------------------------ 2.68/0.76 % (13696)Instruction limit reached! 2.68/0.76 % (13696)------------------------------ 2.68/0.76 % (13696)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.68/0.76 % (13696)Termination reason: Unknown 2.68/0.76 % (13696)Termination phase: Saturation 2.68/0.76 2.68/0.76 % (13696)Memory used [KB]: 11257 2.68/0.76 % (13696)Time elapsed: 0.335 s 2.68/0.76 % (13696)Instructions burned: 1046 (million) 2.68/0.76 % (13696)------------------------------ 2.68/0.76 % (13696)------------------------------ 2.68/0.76 % (13876)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on Vampire---4 for (1796ds/204Mi) 2.68/0.76 % (13843)Instruction limit reached! 2.68/0.76 % (13843)------------------------------ 2.68/0.76 % (13843)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.68/0.76 % (13843)Termination reason: Unknown 2.68/0.76 % (13843)Termination phase: Saturation 2.68/0.76 2.68/0.76 % (13843)Memory used [KB]: 6268 2.68/0.76 % (13843)Time elapsed: 0.084 s 2.68/0.76 % (13843)Instructions burned: 276 (million) 2.68/0.76 % (13843)------------------------------ 2.68/0.76 % (13843)------------------------------ 2.68/0.76 % (13877)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on Vampire---4 for (1796ds/154Mi) 3.19/0.77 % (13878)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=424:si=on:rtra=on_0 on Vampire---4 for (1796ds/424Mi) 3.19/0.77 % (13868)Instruction limit reached! 3.19/0.77 % (13868)------------------------------ 3.19/0.77 % (13868)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.19/0.77 % (13868)Termination reason: Unknown 3.19/0.77 % (13868)Termination phase: Saturation 3.19/0.77 3.19/0.77 % (13868)Memory used [KB]: 5884 3.19/0.77 % (13868)Time elapsed: 0.029 s 3.19/0.77 % (13868)Instructions burned: 104 (million) 3.19/0.77 % (13868)------------------------------ 3.19/0.77 % (13868)------------------------------ 3.19/0.77 % (13879)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on Vampire---4 for (1796ds/41Mi) 3.19/0.77 % (13878)Refutation not found, incomplete strategy 3.19/0.77 % (13878)------------------------------ 3.19/0.77 % (13878)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.19/0.77 % (13878)Termination reason: Refutation not found, incomplete strategy 3.19/0.77 3.19/0.77 3.19/0.77 % (13878)Memory used [KB]: 5628 3.19/0.77 % (13878)Time elapsed: 0.005 s 3.19/0.77 % (13878)Instructions burned: 13 (million) 3.19/0.77 % (13878)------------------------------ 3.19/0.77 % (13878)------------------------------ 3.19/0.78 % (13884)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on Vampire---4 for (1796ds/231Mi) 3.19/0.78 % (13879)Instruction limit reached! 3.19/0.78 % (13879)------------------------------ 3.19/0.78 % (13879)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.19/0.78 % (13879)Termination reason: Unknown 3.19/0.78 % (13879)Termination phase: Saturation 3.19/0.78 3.19/0.78 % (13879)Memory used [KB]: 5756 3.19/0.78 % (13879)Time elapsed: 0.013 s 3.19/0.78 % (13879)Instructions burned: 44 (million) 3.19/0.78 % (13879)------------------------------ 3.19/0.78 % (13879)------------------------------ 3.19/0.78 % (13886)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on Vampire---4 for (1796ds/70Mi) 3.19/0.79 % (13888)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=297:si=on:rtra=on_0 on Vampire---4 for (1795ds/297Mi) 3.19/0.79 % (13875)Instruction limit reached! 3.19/0.79 % (13875)------------------------------ 3.19/0.79 % (13875)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.19/0.79 % (13875)Termination reason: Unknown 3.19/0.79 % (13875)Termination phase: Saturation 3.19/0.79 3.19/0.79 % (13875)Memory used [KB]: 6140 3.19/0.79 % (13875)Time elapsed: 0.038 s 3.19/0.79 % (13875)Instructions burned: 136 (million) 3.19/0.79 % (13875)------------------------------ 3.19/0.79 % (13875)------------------------------ 3.19/0.80 % (13892)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on Vampire---4 for (1795ds/182Mi) 3.19/0.80 % (13886)Instruction limit reached! 3.19/0.80 % (13886)------------------------------ 3.19/0.80 % (13886)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.19/0.80 % (13886)Termination reason: Unknown 3.19/0.80 % (13886)Termination phase: Saturation 3.19/0.80 3.19/0.80 % (13886)Memory used [KB]: 1407 3.19/0.80 % (13886)Time elapsed: 0.021 s 3.19/0.80 % (13886)Instructions burned: 70 (million) 3.19/0.80 % (13886)------------------------------ 3.19/0.80 % (13886)------------------------------ 3.19/0.81 % (13894)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=130:si=on:rtra=on_0 on Vampire---4 for (1795ds/130Mi) 3.19/0.81 % (13877)Instruction limit reached! 3.19/0.81 % (13877)------------------------------ 3.19/0.81 % (13877)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.19/0.81 % (13877)Termination reason: Unknown 3.19/0.81 % (13877)Termination phase: Saturation 3.19/0.81 3.19/0.81 % (13877)Memory used [KB]: 6140 3.19/0.81 % (13877)Time elapsed: 0.049 s 3.19/0.81 % (13877)Instructions burned: 154 (million) 3.19/0.81 % (13877)------------------------------ 3.19/0.81 % (13877)------------------------------ 3.19/0.82 % (13876)Instruction limit reached! 3.19/0.82 % (13876)------------------------------ 3.19/0.82 % (13876)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.19/0.82 % (13876)Termination reason: Unknown 3.19/0.82 % (13876)Termination phase: Saturation 3.19/0.82 3.19/0.82 % (13876)Memory used [KB]: 6524 3.19/0.82 % (13876)Time elapsed: 0.058 s 3.19/0.82 % (13876)Instructions burned: 206 (million) 3.19/0.82 % (13876)------------------------------ 3.19/0.82 % (13876)------------------------------ 3.19/0.82 % (13900)lrs+21_1:16_au=on:cbe=off:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=7,4:i=570:si=on:rtra=on_0 on Vampire---4 for (1795ds/570Mi) 3.19/0.82 % (13710)Instruction limit reached! 3.19/0.82 % (13710)------------------------------ 3.19/0.82 % (13710)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.19/0.82 % (13710)Termination reason: Unknown 3.19/0.82 % (13710)Termination phase: Saturation 3.19/0.82 3.19/0.82 % (13710)Memory used [KB]: 8443 3.19/0.82 % (13710)Time elapsed: 0.367 s 3.19/0.82 % (13710)Instructions burned: 1043 (million) 3.19/0.82 % (13710)------------------------------ 3.19/0.82 % (13710)------------------------------ 3.19/0.83 % (13904)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on Vampire---4 for (1795ds/297Mi) 3.19/0.83 % (13908)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=190:si=on:rtra=on_0 on Vampire---4 for (1795ds/190Mi) 3.19/0.85 % (13894)Instruction limit reached! 3.19/0.85 % (13894)------------------------------ 3.19/0.85 % (13894)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.19/0.85 % (13894)Termination reason: Unknown 3.19/0.85 % (13894)Termination phase: Saturation 3.19/0.85 3.19/0.85 % (13894)Memory used [KB]: 6140 3.19/0.85 % (13894)Time elapsed: 0.037 s 3.19/0.85 % (13894)Instructions burned: 132 (million) 3.19/0.85 % (13894)------------------------------ 3.19/0.85 % (13894)------------------------------ 3.57/0.85 % (13892)Instruction limit reached! 3.57/0.85 % (13892)------------------------------ 3.57/0.85 % (13892)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.57/0.85 % (13892)Termination reason: Unknown 3.57/0.85 % (13892)Termination phase: Saturation 3.57/0.85 3.57/0.85 % (13892)Memory used [KB]: 6396 3.57/0.85 % (13892)Time elapsed: 0.052 s 3.57/0.85 % (13892)Instructions burned: 185 (million) 3.57/0.85 % (13892)------------------------------ 3.57/0.85 % (13892)------------------------------ 3.57/0.86 % (13922)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on Vampire---4 for (1795ds/96Mi) 3.57/0.86 % (13926)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on Vampire---4 for (1795ds/182Mi) 3.57/0.86 % (13884)Instruction limit reached! 3.57/0.86 % (13884)------------------------------ 3.57/0.86 % (13884)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.57/0.86 % (13884)Termination reason: Unknown 3.57/0.86 % (13884)Termination phase: Saturation 3.57/0.86 3.57/0.86 % (13884)Memory used [KB]: 6524 3.57/0.86 % (13884)Time elapsed: 0.084 s 3.57/0.86 % (13884)Instructions burned: 232 (million) 3.57/0.86 % (13884)------------------------------ 3.57/0.86 % (13884)------------------------------ 3.57/0.86 % (13862)Instruction limit reached! 3.57/0.86 % (13862)------------------------------ 3.57/0.86 % (13862)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.57/0.86 % (13862)Termination reason: Unknown 3.57/0.86 % (13862)Termination phase: Saturation 3.57/0.86 3.57/0.86 % (13862)Memory used [KB]: 6908 3.57/0.87 % (13862)Time elapsed: 0.144 s 3.57/0.87 % (13862)Instructions burned: 452 (million) 3.57/0.87 % (13862)------------------------------ 3.57/0.87 % (13862)------------------------------ 3.57/0.87 % (13932)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on Vampire---4 for (1795ds/368Mi) 3.57/0.87 % (13934)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=390:si=on:rtra=on_0 on Vampire---4 for (1795ds/390Mi) 3.87/0.88 % (13888)Instruction limit reached! 3.87/0.88 % (13888)------------------------------ 3.87/0.88 % (13888)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.87/0.88 % (13888)Termination reason: Unknown 3.87/0.88 % (13888)Termination phase: Saturation 3.87/0.88 3.87/0.88 % (13888)Memory used [KB]: 6780 3.87/0.88 % (13888)Time elapsed: 0.087 s 3.87/0.88 % (13888)Instructions burned: 297 (million) 3.87/0.88 % (13888)------------------------------ 3.87/0.88 % (13888)------------------------------ 3.87/0.88 % (13922)Instruction limit reached! 3.87/0.88 % (13922)------------------------------ 3.87/0.88 % (13922)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.87/0.88 % (13922)Termination reason: Unknown 3.87/0.88 % (13922)Termination phase: Saturation 3.87/0.88 3.87/0.88 % (13922)Memory used [KB]: 6012 3.87/0.88 % (13922)Time elapsed: 0.029 s 3.87/0.88 % (13922)Instructions burned: 96 (million) 3.87/0.88 % (13922)------------------------------ 3.87/0.88 % (13922)------------------------------ 3.87/0.89 % (13936)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on Vampire---4 for (1795ds/192Mi) 3.87/0.89 % (13940)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=279:si=on:rtra=on_0 on Vampire---4 for (1794ds/279Mi) 3.87/0.90 % (13908)Instruction limit reached! 3.87/0.90 % (13908)------------------------------ 3.87/0.90 % (13908)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.87/0.90 % (13908)Termination reason: Unknown 3.87/0.90 % (13908)Termination phase: Saturation 3.87/0.90 3.87/0.90 % (13908)Memory used [KB]: 6268 3.87/0.90 % (13908)Time elapsed: 0.068 s 3.87/0.90 % (13908)Instructions burned: 192 (million) 3.87/0.90 % (13908)------------------------------ 3.87/0.90 % (13908)------------------------------ 3.87/0.90 % (13904)Instruction limit reached! 3.87/0.90 % (13904)------------------------------ 3.87/0.90 % (13904)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.87/0.90 % (13904)Termination reason: Unknown 3.87/0.90 % (13904)Termination phase: Saturation 3.87/0.90 3.87/0.90 % (13904)Memory used [KB]: 5884 3.87/0.90 % (13904)Time elapsed: 0.075 s 3.87/0.90 % (13904)Instructions burned: 297 (million) 3.87/0.90 % (13904)------------------------------ 3.87/0.90 % (13904)------------------------------ 3.87/0.91 % (13942)lrs+1010_1:1024_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:ixr=off:i=25:si=on:rtra=on_0 on Vampire---4 for (1794ds/25Mi) 3.87/0.91 % (13943)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=940:si=on:rtra=on_0 on Vampire---4 for (1794ds/940Mi) 3.87/0.91 % (13942)Instruction limit reached! 3.87/0.91 % (13942)------------------------------ 3.87/0.91 % (13942)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.87/0.91 % (13942)Termination reason: Unknown 3.87/0.91 % (13942)Termination phase: Saturation 3.87/0.91 3.87/0.91 % (13942)Memory used [KB]: 5628 3.87/0.91 % (13942)Time elapsed: 0.007 s 3.87/0.91 % (13942)Instructions burned: 26 (million) 3.87/0.91 % (13942)------------------------------ 3.87/0.91 % (13942)------------------------------ 3.87/0.92 % (13926)Instruction limit reached! 3.87/0.92 % (13926)------------------------------ 3.87/0.92 % (13926)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 3.87/0.92 % (13926)Termination reason: Unknown 3.87/0.92 % (13926)Termination phase: Saturation 3.87/0.92 3.87/0.92 % (13926)Memory used [KB]: 6140 3.87/0.92 % (13926)Time elapsed: 0.061 s 3.87/0.92 % (13926)Instructions burned: 182 (million) 3.87/0.92 % (13926)------------------------------ 3.87/0.92 % (13926)------------------------------ 3.87/0.92 % (13944)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=422:si=on:rtra=on_0 on Vampire---4 for (1794ds/422Mi) 4.24/0.93 % (13945)lrs+10_1:1_cnfonf=lazy_gen:hud=7:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=103:si=on:rtra=on_0 on Vampire---4 for (1794ds/103Mi) 4.24/0.93 % (13936)Instruction limit reached! 4.24/0.93 % (13936)------------------------------ 4.24/0.93 % (13936)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.24/0.93 % (13936)Termination reason: Unknown 4.24/0.93 % (13936)Termination phase: Saturation 4.24/0.93 4.24/0.93 % (13936)Memory used [KB]: 6268 4.24/0.93 % (13936)Time elapsed: 0.050 s 4.24/0.93 % (13936)Instructions burned: 194 (million) 4.24/0.93 % (13936)------------------------------ 4.24/0.93 % (13936)------------------------------ 4.30/0.94 % (13946)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on Vampire---4 for (1794ds/182Mi) 4.30/0.96 % (13945)Instruction limit reached! 4.30/0.96 % (13945)------------------------------ 4.30/0.96 % (13945)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.30/0.96 % (13945)Termination reason: Unknown 4.30/0.96 % (13945)Termination phase: Saturation 4.30/0.96 4.30/0.96 % (13945)Memory used [KB]: 5884 4.30/0.96 % (13945)Time elapsed: 0.029 s 4.30/0.96 % (13945)Instructions burned: 106 (million) 4.30/0.96 % (13945)------------------------------ 4.30/0.96 % (13945)------------------------------ 4.30/0.96 % (13947)lrs+10_1:5_av=off:bd=off:fd=off:kws=precedence:nwc=3.0:prag=on:rawr=on:sos=all:sp=reverse_frequency:i=230:si=on:rtra=on_0 on Vampire---4 for (1794ds/230Mi) 4.30/0.97 % (13940)Instruction limit reached! 4.30/0.97 % (13940)------------------------------ 4.30/0.97 % (13940)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.30/0.97 % (13940)Termination reason: Unknown 4.30/0.97 % (13940)Termination phase: Saturation 4.30/0.97 4.30/0.97 % (13940)Memory used [KB]: 6396 4.30/0.97 % (13940)Time elapsed: 0.075 s 4.30/0.97 % (13940)Instructions burned: 279 (million) 4.30/0.97 % (13940)------------------------------ 4.30/0.97 % (13940)------------------------------ 4.30/0.97 % (13932)Instruction limit reached! 4.30/0.97 % (13932)------------------------------ 4.30/0.97 % (13932)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.30/0.97 % (13932)Termination reason: Unknown 4.30/0.97 % (13932)Termination phase: Saturation 4.30/0.97 4.30/0.97 % (13932)Memory used [KB]: 6908 4.30/0.97 % (13932)Time elapsed: 0.100 s 4.30/0.97 % (13932)Instructions burned: 371 (million) 4.30/0.97 % (13932)------------------------------ 4.30/0.97 % (13932)------------------------------ 4.30/0.97 % (13948)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on Vampire---4 for (1794ds/83Mi) 4.30/0.98 % (13949)lrs+1002_1:1_anc=all:cbe=off:cnfonf=lazy_not_gen_be_off:fe=off:hud=5:nwc=10.0:plsq=on:plsqr=32,1:prag=on:sp=unary_first:i=202:si=on:rtra=on_0 on Vampire---4 for (1794ds/202Mi) 4.30/0.98 % (13934)Instruction limit reached! 4.30/0.98 % (13934)------------------------------ 4.30/0.98 % (13934)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.30/0.98 % (13934)Termination reason: Unknown 4.30/0.98 % (13934)Termination phase: Saturation 4.30/0.98 4.30/0.98 % (13934)Memory used [KB]: 7419 4.30/0.98 % (13934)Time elapsed: 0.105 s 4.30/0.98 % (13934)Instructions burned: 392 (million) 4.30/0.98 % (13934)------------------------------ 4.30/0.98 % (13934)------------------------------ 4.30/0.99 % (13950)lrs+1010_1:1_cbe=off:cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=148:si=on:rtra=on_0 on Vampire---4 for (1794ds/148Mi) 4.30/0.99 % (13948)Instruction limit reached! 4.30/0.99 % (13948)------------------------------ 4.30/0.99 % (13948)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.30/0.99 % (13948)Termination reason: Unknown 4.30/0.99 % (13948)Termination phase: Saturation 4.30/0.99 4.30/0.99 % (13948)Memory used [KB]: 5884 4.30/0.99 % (13948)Time elapsed: 0.021 s 4.30/0.99 % (13948)Instructions burned: 84 (million) 4.30/0.99 % (13948)------------------------------ 4.30/0.99 % (13948)------------------------------ 4.30/0.99 % (13946)Instruction limit reached! 4.30/0.99 % (13946)------------------------------ 4.30/0.99 % (13946)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.30/0.99 % (13946)Termination reason: Unknown 4.30/0.99 % (13946)Termination phase: Saturation 4.30/0.99 4.30/0.99 % (13946)Memory used [KB]: 5756 4.30/0.99 % (13946)Time elapsed: 0.073 s 4.30/0.99 % (13946)Instructions burned: 182 (million) 4.30/0.99 % (13946)------------------------------ 4.30/0.99 % (13946)------------------------------ 4.30/1.00 % (13951)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on Vampire---4 for (1793ds/104Mi) 4.30/1.00 % (13952)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (1793ds/6Mi) 4.30/1.00 % (13952)Instruction limit reached! 4.30/1.00 % (13952)------------------------------ 4.30/1.00 % (13952)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.30/1.00 % (13952)Termination reason: Unknown 4.30/1.00 % (13952)Termination phase: Property scanning 4.30/1.00 4.30/1.00 % (13952)Memory used [KB]: 1023 4.30/1.00 % (13952)Time elapsed: 0.003 s 4.30/1.00 % (13952)Instructions burned: 6 (million) 4.30/1.00 % (13952)------------------------------ 4.30/1.00 % (13952)------------------------------ 4.30/1.00 % (13900)Instruction limit reached! 4.30/1.00 % (13900)------------------------------ 4.30/1.00 % (13900)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.30/1.00 % (13900)Termination reason: Unknown 4.30/1.00 % (13900)Termination phase: Saturation 4.30/1.00 4.30/1.00 % (13900)Memory used [KB]: 6524 4.30/1.00 % (13900)Time elapsed: 0.183 s 4.30/1.00 % (13900)Instructions burned: 572 (million) 4.30/1.00 % (13900)------------------------------ 4.30/1.00 % (13900)------------------------------ 4.30/1.01 % (13953)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1200:si=on:rtra=on_0 on Vampire---4 for (1793ds/1200Mi) 4.30/1.01 % (13954)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on Vampire---4 for (1793ds/90Mi) 4.92/1.02 % (13953)Refutation not found, incomplete strategy 4.92/1.02 % (13953)------------------------------ 4.92/1.02 % (13953)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.92/1.02 % (13953)Termination reason: Refutation not found, incomplete strategy 4.92/1.02 4.92/1.02 4.92/1.02 % (13953)Memory used [KB]: 5628 4.92/1.02 % (13953)Time elapsed: 0.008 s 4.92/1.02 % (13953)Instructions burned: 27 (million) 4.92/1.02 % (13953)------------------------------ 4.92/1.02 % (13953)------------------------------ 4.92/1.02 % (13947)Instruction limit reached! 4.92/1.02 % (13947)------------------------------ 4.92/1.02 % (13947)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.92/1.02 % (13947)Termination reason: Unknown 4.92/1.02 % (13947)Termination phase: Saturation 4.92/1.02 4.92/1.02 % (13947)Memory used [KB]: 2046 4.92/1.02 % (13947)Time elapsed: 0.061 s 4.92/1.02 % (13947)Instructions burned: 230 (million) 4.92/1.02 % (13947)------------------------------ 4.92/1.02 % (13947)------------------------------ 4.92/1.02 % (13950)Instruction limit reached! 4.92/1.02 % (13950)------------------------------ 4.92/1.02 % (13950)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.92/1.02 % (13950)Termination reason: Unknown 4.92/1.02 % (13950)Termination phase: Saturation 4.92/1.02 4.92/1.02 % (13950)Memory used [KB]: 6012 4.92/1.02 % (13950)Time elapsed: 0.039 s 4.92/1.02 % (13950)Instructions burned: 148 (million) 4.92/1.02 % (13950)------------------------------ 4.92/1.02 % (13950)------------------------------ 4.92/1.03 % (13951)Instruction limit reached! 4.92/1.03 % (13951)------------------------------ 4.92/1.03 % (13951)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.92/1.03 % (13951)Termination reason: Unknown 4.92/1.03 % (13951)Termination phase: Saturation 4.92/1.03 4.92/1.03 % (13951)Memory used [KB]: 6012 4.92/1.03 % (13951)Time elapsed: 0.027 s 4.92/1.03 % (13951)Instructions burned: 106 (million) 4.92/1.03 % (13951)------------------------------ 4.92/1.03 % (13951)------------------------------ 4.92/1.03 % (13955)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on Vampire---4 for (1793ds/164Mi) 4.92/1.03 % (13949)Instruction limit reached! 4.92/1.03 % (13949)------------------------------ 4.92/1.03 % (13949)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.92/1.03 % (13949)Termination reason: Unknown 4.92/1.03 % (13949)Termination phase: Saturation 4.92/1.03 4.92/1.03 % (13949)Memory used [KB]: 6012 4.92/1.03 % (13949)Time elapsed: 0.074 s 4.92/1.03 % (13949)Instructions burned: 202 (million) 4.92/1.03 % (13949)------------------------------ 4.92/1.03 % (13949)------------------------------ 4.92/1.03 % (13956)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=392:si=on:rtra=on_0 on Vampire---4 for (1793ds/392Mi) 4.92/1.03 % (13957)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on Vampire---4 for (1793ds/279Mi) 4.92/1.03 % (13958)lrs+1010_1:128_au=on:av=off:bd=preordered:bs=on:chr=on:cnfonf=lazy_not_gen:ntd=on:piset=and:i=59:si=on:rtra=on_0 on Vampire---4 for (1793ds/59Mi) 4.92/1.04 % (13959)lrs+10_1:1_au=on:sd=1:sgt=32:sos=on:ss=axioms:i=141:si=on:rtra=on_0 on Vampire---4 for (1793ds/141Mi) 4.92/1.04 % (13954)Instruction limit reached! 4.92/1.04 % (13954)------------------------------ 4.92/1.04 % (13954)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.92/1.04 % (13954)Termination reason: Unknown 4.92/1.04 % (13954)Termination phase: Saturation 4.92/1.04 4.92/1.04 % (13954)Memory used [KB]: 6012 4.92/1.04 % (13954)Time elapsed: 0.031 s 4.92/1.04 % (13954)Instructions burned: 90 (million) 4.92/1.04 % (13954)------------------------------ 4.92/1.04 % (13954)------------------------------ 4.92/1.05 % (13944)Instruction limit reached! 4.92/1.05 % (13944)------------------------------ 4.92/1.05 % (13944)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.92/1.05 % (13944)Termination reason: Unknown 4.92/1.05 % (13944)Termination phase: Saturation 4.92/1.05 4.92/1.05 % (13944)Memory used [KB]: 6780 4.92/1.05 % (13944)Time elapsed: 0.126 s 4.92/1.05 % (13944)Instructions burned: 422 (million) 4.92/1.05 % (13944)------------------------------ 4.92/1.05 % (13944)------------------------------ 4.92/1.05 % (13958)Instruction limit reached! 4.92/1.05 % (13958)------------------------------ 4.92/1.05 % (13958)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.92/1.05 % (13958)Termination reason: Unknown 4.92/1.05 % (13958)Termination phase: Saturation 4.92/1.05 4.92/1.05 % (13958)Memory used [KB]: 1279 4.92/1.05 % (13958)Time elapsed: 0.015 s 4.92/1.05 % (13958)Instructions burned: 62 (million) 4.92/1.05 % (13958)------------------------------ 4.92/1.05 % (13958)------------------------------ 4.92/1.05 % (13960)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=389:si=on:rtra=on_0 on Vampire---4 for (1793ds/389Mi) 4.92/1.05 % (13961)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on Vampire---4 for (1793ds/593Mi) 4.92/1.06 % (13962)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=4759:si=on:rtra=on_0 on Vampire---4 for (1793ds/4759Mi) 4.92/1.07 % (13955)Instruction limit reached! 4.92/1.07 % (13955)------------------------------ 4.92/1.07 % (13955)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 4.92/1.07 % (13955)Termination reason: Unknown 4.92/1.07 % (13955)Termination phase: Saturation 4.92/1.07 4.92/1.07 % (13955)Memory used [KB]: 1407 4.92/1.07 % (13955)Time elapsed: 0.042 s 4.92/1.07 % (13955)Instructions burned: 164 (million) 4.92/1.07 % (13955)------------------------------ 4.92/1.07 % (13955)------------------------------ 4.92/1.07 % (13963)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on Vampire---4 for (1793ds/906Mi) 5.75/1.08 % (13959)Instruction limit reached! 5.75/1.08 % (13959)------------------------------ 5.75/1.08 % (13959)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.75/1.08 % (13959)Termination reason: Unknown 5.75/1.08 % (13959)Termination phase: Saturation 5.75/1.08 5.75/1.08 % (13959)Memory used [KB]: 6140 5.75/1.08 % (13959)Time elapsed: 0.038 s 5.75/1.08 % (13959)Instructions burned: 144 (million) 5.75/1.08 % (13959)------------------------------ 5.75/1.08 % (13959)------------------------------ 5.75/1.09 % (13964)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on Vampire---4 for (1792ds/668Mi) 5.75/1.11 % (13957)Instruction limit reached! 5.75/1.11 % (13957)------------------------------ 5.75/1.11 % (13957)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.75/1.11 % (13957)Termination reason: Unknown 5.75/1.11 % (13957)Termination phase: Saturation 5.75/1.11 5.75/1.11 % (13957)Memory used [KB]: 6140 5.75/1.11 % (13957)Time elapsed: 0.079 s 5.75/1.11 % (13957)Instructions burned: 279 (million) 5.75/1.11 % (13957)------------------------------ 5.75/1.11 % (13957)------------------------------ 5.75/1.12 % (13965)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on Vampire---4 for (1792ds/1670Mi) 5.75/1.15 % (13956)Instruction limit reached! 5.75/1.15 % (13956)------------------------------ 5.75/1.15 % (13956)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.75/1.15 % (13956)Termination reason: Unknown 5.75/1.15 % (13956)Termination phase: Saturation 5.75/1.15 5.75/1.15 % (13956)Memory used [KB]: 6524 5.75/1.15 % (13956)Time elapsed: 0.117 s 5.75/1.15 % (13956)Instructions burned: 396 (million) 5.75/1.15 % (13956)------------------------------ 5.75/1.15 % (13956)------------------------------ 5.75/1.15 % (13960)Instruction limit reached! 5.75/1.15 % (13960)------------------------------ 5.75/1.15 % (13960)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 5.75/1.15 % (13960)Termination reason: Unknown 5.75/1.15 % (13960)Termination phase: Saturation 5.75/1.15 5.75/1.15 % (13960)Memory used [KB]: 7291 5.75/1.15 % (13960)Time elapsed: 0.104 s 5.75/1.15 % (13960)Instructions burned: 390 (million) 5.75/1.15 % (13960)------------------------------ 5.75/1.15 % (13960)------------------------------ 5.75/1.15 % (13966)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on Vampire---4 for (1792ds/794Mi) 5.75/1.16 % (13967)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on Vampire---4 for (1792ds/294Mi) 6.28/1.16 % (13943)Instruction limit reached! 6.28/1.16 % (13943)------------------------------ 6.28/1.16 % (13943)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.28/1.16 % (13943)Termination reason: Unknown 6.28/1.16 % (13943)Termination phase: Saturation 6.28/1.16 6.28/1.16 % (13943)Memory used [KB]: 7164 6.28/1.16 % (13943)Time elapsed: 0.258 s 6.28/1.16 % (13943)Instructions burned: 940 (million) 6.28/1.16 % (13943)------------------------------ 6.28/1.16 % (13943)------------------------------ 6.28/1.17 % (13968)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=970:si=on:rtra=on_0 on Vampire---4 for (1792ds/970Mi) 6.28/1.18 % (13967)Refutation not found, incomplete strategy 6.28/1.18 % (13967)------------------------------ 6.28/1.18 % (13967)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.28/1.18 % (13967)Termination reason: Refutation not found, incomplete strategy 6.28/1.18 6.28/1.18 6.28/1.18 % (13967)Memory used [KB]: 5756 6.28/1.18 % (13967)Time elapsed: 0.018 s 6.28/1.18 % (13967)Instructions burned: 70 (million) 6.28/1.18 % (13967)------------------------------ 6.28/1.18 % (13967)------------------------------ 6.28/1.18 % (13969)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=383:si=on:rtra=on_0 on Vampire---4 for (1791ds/383Mi) 6.39/1.21 % (13961)Instruction limit reached! 6.39/1.21 % (13961)------------------------------ 6.39/1.21 % (13961)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.39/1.21 % (13961)Termination reason: Unknown 6.39/1.21 % (13961)Termination phase: Saturation 6.39/1.21 6.39/1.21 % (13961)Memory used [KB]: 8187 6.39/1.21 % (13961)Time elapsed: 0.158 s 6.39/1.21 % (13961)Instructions burned: 594 (million) 6.39/1.21 % (13961)------------------------------ 6.39/1.21 % (13961)------------------------------ 6.39/1.22 % (13970)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on Vampire---4 for (1791ds/961Mi) 6.53/1.25 % (13964)Instruction limit reached! 6.53/1.25 % (13964)------------------------------ 6.53/1.25 % (13964)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.53/1.25 % (13964)Termination reason: Unknown 6.53/1.25 % (13964)Termination phase: Saturation 6.53/1.25 6.53/1.25 % (13964)Memory used [KB]: 10618 6.53/1.25 % (13964)Time elapsed: 0.165 s 6.53/1.25 % (13964)Instructions burned: 670 (million) 6.53/1.25 % (13964)------------------------------ 6.53/1.25 % (13964)------------------------------ 6.53/1.26 % (13971)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=1083:si=on:rtra=on_0 on Vampire---4 for (1791ds/1083Mi) 6.53/1.30 % (13969)Instruction limit reached! 6.53/1.30 % (13969)------------------------------ 6.53/1.30 % (13969)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.53/1.30 % (13969)Termination reason: Unknown 6.53/1.30 % (13969)Termination phase: Saturation 6.53/1.30 6.53/1.30 % (13969)Memory used [KB]: 7164 6.53/1.30 % (13969)Time elapsed: 0.117 s 6.53/1.30 % (13969)Instructions burned: 385 (million) 6.53/1.30 % (13969)------------------------------ 6.53/1.30 % (13969)------------------------------ 6.96/1.31 % (13972)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=1398:si=on:rtra=on_0 on Vampire---4 for (1790ds/1398Mi) 6.96/1.31 % (13972)Refutation not found, incomplete strategy 6.96/1.31 % (13972)------------------------------ 6.96/1.31 % (13972)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.96/1.31 % (13972)Termination reason: Refutation not found, incomplete strategy 6.96/1.31 6.96/1.31 6.96/1.31 % (13972)Memory used [KB]: 5628 6.96/1.31 % (13972)Time elapsed: 0.005 s 6.96/1.31 % (13972)Instructions burned: 13 (million) 6.96/1.31 % (13972)------------------------------ 6.96/1.31 % (13972)------------------------------ 6.96/1.32 % (13963)Instruction limit reached! 6.96/1.32 % (13963)------------------------------ 6.96/1.32 % (13963)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.96/1.32 % (13963)Termination reason: Unknown 6.96/1.32 % (13963)Termination phase: Saturation 6.96/1.32 6.96/1.32 % (13963)Memory used [KB]: 9850 6.96/1.32 % (13963)Time elapsed: 0.243 s 6.96/1.32 % (13963)Instructions burned: 907 (million) 6.96/1.32 % (13963)------------------------------ 6.96/1.32 % (13963)------------------------------ 6.96/1.32 % (13973)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on Vampire---4 for (1790ds/562Mi) 6.96/1.32 % (13974)lrs+1010_1:2_au=on:e2e=on:sd=3:ss=axioms:st=3.0:i=1208:si=on:rtra=on_0 on Vampire---4 for (1790ds/1208Mi) 6.96/1.36 % (13966)Instruction limit reached! 6.96/1.36 % (13966)------------------------------ 6.96/1.36 % (13966)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 6.96/1.36 % (13966)Termination reason: Unknown 6.96/1.36 % (13966)Termination phase: Saturation 6.96/1.36 6.96/1.36 % (13966)Memory used [KB]: 1663 6.96/1.36 % (13966)Time elapsed: 0.211 s 6.96/1.36 % (13966)Instructions burned: 796 (million) 6.96/1.36 % (13966)------------------------------ 6.96/1.36 % (13966)------------------------------ 7.27/1.37 % (13975)lrs+1010_1:7_bd=off:cnfonf=lazy_not_be_gen:fe=off:hud=10:tnu=1:i=348:si=on:rtra=on_0 on Vampire---4 for (1790ds/348Mi) 7.27/1.45 % (13968)Instruction limit reached! 7.27/1.45 % (13968)------------------------------ 7.27/1.45 % (13968)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.27/1.45 % (13968)Termination reason: Unknown 7.27/1.45 % (13968)Termination phase: Saturation 7.27/1.45 7.27/1.45 % (13968)Memory used [KB]: 7036 7.27/1.45 % (13968)Time elapsed: 0.280 s 7.27/1.45 % (13968)Instructions burned: 972 (million) 7.27/1.45 % (13968)------------------------------ 7.27/1.45 % (13968)------------------------------ 7.27/1.46 % (13976)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on Vampire---4 for (1789ds/343Mi) 7.65/1.47 % (13970)Instruction limit reached! 7.65/1.47 % (13970)------------------------------ 7.65/1.47 % (13970)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.65/1.47 % (13970)Termination reason: Unknown 7.65/1.47 % (13970)Termination phase: Saturation 7.65/1.47 7.65/1.47 % (13970)Memory used [KB]: 10234 7.65/1.47 % (13970)Time elapsed: 0.255 s 7.65/1.47 % (13970)Instructions burned: 961 (million) 7.65/1.47 % (13970)------------------------------ 7.65/1.47 % (13970)------------------------------ 7.65/1.48 % (13975)Instruction limit reached! 7.65/1.48 % (13975)------------------------------ 7.65/1.48 % (13975)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.65/1.48 % (13975)Termination reason: Unknown 7.65/1.48 % (13975)Termination phase: Saturation 7.65/1.48 7.65/1.48 % (13975)Memory used [KB]: 6780 7.65/1.48 % (13975)Time elapsed: 0.106 s 7.65/1.48 % (13975)Instructions burned: 351 (million) 7.65/1.48 % (13975)------------------------------ 7.65/1.48 % (13975)------------------------------ 7.65/1.48 % (13973)Instruction limit reached! 7.65/1.48 % (13973)------------------------------ 7.65/1.48 % (13973)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.65/1.48 % (13977)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1655:si=on:rtra=on_0 on Vampire---4 for (1789ds/1655Mi) 7.65/1.48 % (13973)Termination reason: Unknown 7.65/1.48 % (13973)Termination phase: Saturation 7.65/1.48 7.65/1.48 % (13973)Memory used [KB]: 6268 7.65/1.48 % (13973)Time elapsed: 0.163 s 7.65/1.48 % (13973)Instructions burned: 562 (million) 7.65/1.48 % (13973)------------------------------ 7.65/1.48 % (13973)------------------------------ 7.65/1.48 % (13978)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on Vampire---4 for (1789ds/6454Mi) 7.65/1.48 % (13977)Refutation not found, incomplete strategy 7.65/1.48 % (13977)------------------------------ 7.65/1.48 % (13977)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 7.65/1.48 % (13977)Termination reason: Refutation not found, incomplete strategy 7.65/1.48 7.65/1.48 7.65/1.48 % (13977)Memory used [KB]: 5628 7.65/1.48 % (13977)Time elapsed: 0.005 s 7.65/1.48 % (13977)Instructions burned: 13 (million) 7.65/1.48 % (13977)------------------------------ 7.65/1.48 % (13977)------------------------------ 8.23/1.49 % (13979)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on Vampire---4 for (1788ds/1539Mi) 8.23/1.49 % (13980)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on Vampire---4 for (1788ds/501Mi) 8.23/1.50 % (13980)Refutation not found, incomplete strategy 8.23/1.50 % (13980)------------------------------ 8.23/1.50 % (13980)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 8.23/1.50 % (13980)Termination reason: Refutation not found, incomplete strategy 8.23/1.50 8.23/1.50 8.23/1.50 % (13980)Memory used [KB]: 5628 8.23/1.50 % (13980)Time elapsed: 0.009 s 8.23/1.50 % (13980)Instructions burned: 34 (million) 8.23/1.50 % (13980)------------------------------ 8.23/1.50 % (13980)------------------------------ 8.23/1.51 % (13981)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=277:si=on:rtra=on_0 on Vampire---4 for (1788ds/277Mi) 8.30/1.55 % (13976)Instruction limit reached! 8.30/1.55 % (13976)------------------------------ 8.30/1.55 % (13976)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 8.30/1.55 % (13976)Termination reason: Unknown 8.30/1.55 % (13976)Termination phase: Saturation 8.30/1.55 8.30/1.55 % (13976)Memory used [KB]: 6780 8.30/1.55 % (13976)Time elapsed: 0.091 s 8.30/1.55 % (13976)Instructions burned: 343 (million) 8.30/1.55 % (13976)------------------------------ 8.30/1.55 % (13976)------------------------------ 8.30/1.56 % (13982)lrs+21_1:1_cha=on:cnfonf=off:hud=10:kws=inv_frequency:lcm=predicate:sgt=32:sos=on:sp=occurrence:ss=axioms:i=136:si=on:rtra=on_0 on Vampire---4 for (1788ds/136Mi) 8.30/1.56 % (13971)Instruction limit reached! 8.30/1.56 % (13971)------------------------------ 8.30/1.56 % (13971)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 8.30/1.56 % (13971)Termination reason: Unknown 8.30/1.56 % (13971)Termination phase: Saturation 8.30/1.56 8.30/1.56 % (13971)Memory used [KB]: 10618 8.30/1.56 % (13971)Time elapsed: 0.297 s 8.30/1.56 % (13971)Instructions burned: 1085 (million) 8.30/1.56 % (13971)------------------------------ 8.30/1.56 % (13971)------------------------------ 8.30/1.57 % (13983)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on Vampire---4 for (1788ds/401Mi) 8.30/1.59 % (13981)Instruction limit reached! 8.30/1.59 % (13981)------------------------------ 8.30/1.59 % (13981)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 8.30/1.59 % (13981)Termination reason: Unknown 8.30/1.59 % (13981)Termination phase: Saturation 8.30/1.59 8.30/1.59 % (13981)Memory used [KB]: 6396 8.30/1.59 % (13981)Time elapsed: 0.083 s 8.30/1.59 % (13981)Instructions burned: 280 (million) 8.30/1.59 % (13981)------------------------------ 8.30/1.59 % (13981)------------------------------ 8.30/1.59 % (13982)Instruction limit reached! 8.30/1.59 % (13982)------------------------------ 8.30/1.59 % (13982)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 8.30/1.59 % (13982)Termination reason: Unknown 8.30/1.59 % (13982)Termination phase: Saturation 8.30/1.59 8.30/1.59 % (13982)Memory used [KB]: 6140 8.30/1.59 % (13982)Time elapsed: 0.037 s 8.30/1.59 % (13982)Instructions burned: 139 (million) 8.30/1.59 % (13982)------------------------------ 8.30/1.59 % (13982)------------------------------ 8.30/1.60 % (13984)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=4810:si=on:rtra=on_0 on Vampire---4 for (1787ds/4810Mi) 8.30/1.60 % (13985)lrs+1002_1:128_atotf=0.1:au=on:cbe=off:ntd=on:sp=const_frequency:i=2020:si=on:rtra=on_0 on Vampire---4 for (1787ds/2020Mi) 8.30/1.60 % (13965)Instruction limit reached! 8.30/1.60 % (13965)------------------------------ 8.30/1.60 % (13965)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 8.30/1.60 % (13965)Termination reason: Unknown 8.30/1.60 % (13965)Termination phase: Saturation 8.30/1.60 8.30/1.60 % (13965)Memory used [KB]: 7675 8.30/1.60 % (13965)Time elapsed: 0.490 s 8.30/1.60 % (13965)Instructions burned: 1671 (million) 8.30/1.60 % (13965)------------------------------ 8.30/1.60 % (13965)------------------------------ 8.30/1.61 % (13986)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=375:si=on:rtra=on_0 on Vampire---4 for (1787ds/375Mi) 10.04/1.66 % (13974)Instruction limit reached! 10.04/1.66 % (13974)------------------------------ 10.04/1.66 % (13974)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 10.04/1.66 % (13974)Termination reason: Unknown 10.04/1.66 % (13974)Termination phase: Saturation 10.04/1.66 10.04/1.66 % (13974)Memory used [KB]: 14200 10.04/1.66 % (13974)Time elapsed: 0.336 s 10.04/1.66 % (13974)Instructions burned: 1210 (million) 10.04/1.66 % (13974)------------------------------ 10.04/1.66 % (13974)------------------------------ 10.04/1.67 % (13987)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on Vampire---4 for (1787ds/8250Mi) 10.47/1.68 % (13983)Instruction limit reached! 10.47/1.68 % (13983)------------------------------ 10.47/1.68 % (13983)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 10.47/1.68 % (13983)Termination reason: Unknown 10.47/1.68 % (13983)Termination phase: Saturation 10.47/1.68 10.47/1.68 % (13983)Memory used [KB]: 6524 10.47/1.68 % (13983)Time elapsed: 0.113 s 10.47/1.68 % (13983)Instructions burned: 403 (million) 10.47/1.68 % (13983)------------------------------ 10.47/1.68 % (13983)------------------------------ 10.47/1.69 % (13988)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on Vampire---4 for (1787ds/187Mi) 10.47/1.71 % (13986)Instruction limit reached! 10.47/1.71 % (13986)------------------------------ 10.47/1.71 % (13986)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 10.47/1.71 % (13986)Termination reason: Unknown 10.47/1.71 % (13986)Termination phase: Saturation 10.47/1.71 10.47/1.71 % (13986)Memory used [KB]: 7164 10.47/1.71 % (13986)Time elapsed: 0.100 s 10.47/1.71 % (13986)Instructions burned: 377 (million) 10.47/1.71 % (13986)------------------------------ 10.47/1.71 % (13986)------------------------------ 10.47/1.72 % (13989)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on Vampire---4 for (1786ds/393Mi) 10.47/1.74 % (13988)Instruction limit reached! 10.47/1.74 % (13988)------------------------------ 10.47/1.74 % (13988)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 10.47/1.74 % (13988)Termination reason: Unknown 10.47/1.74 % (13988)Termination phase: Saturation 10.47/1.74 10.47/1.74 % (13988)Memory used [KB]: 6524 10.47/1.74 % (13988)Time elapsed: 0.049 s 10.47/1.74 % (13988)Instructions burned: 189 (million) 10.47/1.74 % (13988)------------------------------ 10.47/1.74 % (13988)------------------------------ 10.47/1.74 % (13990)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on Vampire---4 for (1786ds/371Mi) 11.35/1.84 % (13990)Instruction limit reached! 11.35/1.84 % (13990)------------------------------ 11.35/1.84 % (13990)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.35/1.84 % (13990)Termination reason: Unknown 11.35/1.84 % (13990)Termination phase: Saturation 11.35/1.84 11.35/1.84 % (13990)Memory used [KB]: 7164 11.35/1.84 % (13990)Time elapsed: 0.101 s 11.35/1.84 % (13990)Instructions burned: 373 (million) 11.35/1.84 % (13990)------------------------------ 11.35/1.84 % (13990)------------------------------ 11.35/1.85 % (13989)Instruction limit reached! 11.35/1.85 % (13989)------------------------------ 11.35/1.85 % (13989)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.35/1.85 % (13989)Termination reason: Unknown 11.35/1.85 % (13989)Termination phase: Saturation 11.35/1.85 11.35/1.85 % (13989)Memory used [KB]: 6780 11.35/1.85 % (13989)Time elapsed: 0.151 s 11.35/1.85 % (13989)Instructions burned: 393 (million) 11.35/1.85 % (13989)------------------------------ 11.35/1.85 % (13989)------------------------------ 11.35/1.85 % (13991)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on Vampire---4 for (1785ds/434Mi) 11.35/1.85 % (13991)Refutation not found, incomplete strategy 11.35/1.85 % (13991)------------------------------ 11.35/1.85 % (13991)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 11.35/1.85 % (13991)Termination reason: Refutation not found, incomplete strategy 11.35/1.85 11.35/1.85 11.35/1.85 % (13991)Memory used [KB]: 5628 11.35/1.85 % (13991)Time elapsed: 0.004 s 11.35/1.85 % (13991)Instructions burned: 10 (million) 11.35/1.85 % (13991)------------------------------ 11.35/1.85 % (13991)------------------------------ 11.35/1.85 % (13992)lrs+10_1:8_av=off:fe=off:hud=5:piset=or:prag=on:i=452:si=on:rtra=on_0 on Vampire---4 for (1785ds/452Mi) 11.35/1.86 % (13993)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on Vampire---4 for (1785ds/5411Mi) 12.00/1.94 % (13979)Instruction limit reached! 12.00/1.94 % (13979)------------------------------ 12.00/1.94 % (13979)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 12.00/1.94 % (13979)Termination reason: Unknown 12.00/1.94 % (13979)Termination phase: Saturation 12.00/1.94 12.00/1.94 % (13979)Memory used [KB]: 11129 12.00/1.94 % (13979)Time elapsed: 0.449 s 12.00/1.94 % (13979)Instructions burned: 1540 (million) 12.00/1.94 % (13979)------------------------------ 12.00/1.94 % (13979)------------------------------ 12.00/1.94 % (13994)dis+1010_1:1_cnfonf=conj_eager:e2e=on:fe=axiom:fsr=off:ntd=on:nwc=10.0:s2a=on:sgt=5:sp=occurrence:ss=axioms:i=1110:si=on:rtra=on_0 on Vampire---4 for (1784ds/1110Mi) 12.00/1.97 % (13992)Instruction limit reached! 12.00/1.97 % (13992)------------------------------ 12.00/1.97 % (13992)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 12.00/1.97 % (13992)Termination reason: Unknown 12.00/1.97 % (13992)Termination phase: Saturation 12.00/1.97 12.00/1.97 % (13992)Memory used [KB]: 3070 12.00/1.97 % (13992)Time elapsed: 0.117 s 12.00/1.97 % (13992)Instructions burned: 452 (million) 12.00/1.97 % (13992)------------------------------ 12.00/1.97 % (13992)------------------------------ 12.48/1.98 % (13995)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on Vampire---4 for (1783ds/590Mi) 14.14/2.14 % (13995)Instruction limit reached! 14.14/2.14 % (13995)------------------------------ 14.14/2.14 % (13995)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.14/2.14 % (13995)Termination reason: Unknown 14.14/2.14 % (13995)Termination phase: Saturation 14.14/2.14 14.14/2.14 % (13995)Memory used [KB]: 6652 14.14/2.14 % (13995)Time elapsed: 0.161 s 14.14/2.14 % (13995)Instructions burned: 590 (million) 14.14/2.14 % (13995)------------------------------ 14.14/2.14 % (13995)------------------------------ 14.14/2.15 % (13996)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on Vampire---4 for (1782ds/432Mi) 14.14/2.15 % (13996)Refutation not found, incomplete strategy 14.14/2.15 % (13996)------------------------------ 14.14/2.15 % (13996)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.14/2.15 % (13996)Termination reason: Refutation not found, incomplete strategy 14.14/2.15 14.14/2.15 14.14/2.15 % (13996)Memory used [KB]: 5628 14.14/2.15 % (13996)Time elapsed: 0.008 s 14.14/2.15 % (13996)Instructions burned: 26 (million) 14.14/2.15 % (13996)------------------------------ 14.14/2.15 % (13996)------------------------------ 14.14/2.16 % (13985)Refutation not found, non-redundant clauses discarded% (13985)------------------------------ 14.14/2.16 % (13985)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.14/2.16 % (13985)Termination reason: Refutation not found, non-redundant clauses discarded 14.14/2.16 14.14/2.16 % (13985)Memory used [KB]: 13048 14.14/2.16 % (13985)Time elapsed: 0.560 s 14.14/2.16 % (13985)Instructions burned: 2005 (million) 14.14/2.16 % (13985)------------------------------ 14.14/2.16 % (13985)------------------------------ 14.14/2.16 % (13997)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=2517:si=on:rtra=on_0 on Vampire---4 for (1782ds/2517Mi) 14.14/2.17 % (13998)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on Vampire---4 for (1782ds/783Mi) 14.70/2.25 % (13994)Instruction limit reached! 14.70/2.25 % (13994)------------------------------ 14.70/2.25 % (13994)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 14.70/2.25 % (13994)Termination reason: Unknown 14.70/2.25 % (13994)Termination phase: Saturation 14.70/2.25 14.70/2.25 % (13994)Memory used [KB]: 8059 14.70/2.25 % (13994)Time elapsed: 0.308 s 14.70/2.25 % (13994)Instructions burned: 1112 (million) 14.70/2.25 % (13994)------------------------------ 14.70/2.25 % (13994)------------------------------ 14.70/2.26 % (13999)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on Vampire---4 for (1781ds/481Mi) 14.70/2.28 % (13984)First to succeed. 15.12/2.30 % (13962)Instruction limit reached! 15.12/2.30 % (13962)------------------------------ 15.12/2.30 % (13962)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 15.12/2.30 % (13962)Termination reason: Unknown 15.12/2.30 % (13962)Termination phase: Saturation 15.12/2.30 15.12/2.30 % (13962)Memory used [KB]: 9083 15.12/2.30 % (13962)Time elapsed: 1.248 s 15.12/2.30 % (13962)Instructions burned: 4760 (million) 15.12/2.30 % (13962)------------------------------ 15.12/2.30 % (13962)------------------------------ 15.12/2.30 % (13984)Refutation found. Thanks to Tanya! 15.12/2.30 % SZS status Theorem for Vampire---4 15.12/2.30 % SZS output start Proof for Vampire---4 15.12/2.30 thf(type_def_5, type, mu: $tType). 15.12/2.30 thf(func_def_0, type, mu: $tType). 15.12/2.30 thf(func_def_1, type, qmltpeq: mu > mu > $i > $o). 15.12/2.30 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 15.12/2.30 thf(func_def_4, type, mnot: ($i > $o) > $i > $o). 15.12/2.30 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o). 15.12/2.30 thf(func_def_6, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 15.12/2.30 thf(func_def_7, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 15.12/2.30 thf(func_def_8, type, mtrue: $i > $o). 15.12/2.30 thf(func_def_9, type, mfalse: $i > $o). 15.12/2.30 thf(func_def_10, type, mand: ($i > $o) > ($i > $o) > $i > $o). 15.12/2.30 thf(func_def_11, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 15.12/2.30 thf(func_def_12, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 15.12/2.30 thf(func_def_13, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 15.12/2.30 thf(func_def_14, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 15.12/2.30 thf(func_def_15, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 15.12/2.30 thf(func_def_16, type, exists_in_world: mu > $i > $o). 15.12/2.30 thf(func_def_17, type, mforall_ind: (mu > $i > $o) > $i > $o). 15.12/2.30 thf(func_def_18, type, mexists_ind: (mu > $i > $o) > $i > $o). 15.12/2.30 thf(func_def_19, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 15.12/2.30 thf(func_def_20, type, mreflexive: ($i > $i > $o) > $o). 15.12/2.30 thf(func_def_21, type, msymmetric: ($i > $i > $o) > $o). 15.12/2.30 thf(func_def_22, type, mserial: ($i > $i > $o) > $o). 15.12/2.30 thf(func_def_23, type, mtransitive: ($i > $i > $o) > $o). 15.12/2.30 thf(func_def_24, type, meuclidean: ($i > $i > $o) > $o). 15.12/2.30 thf(func_def_25, type, mpartially_functional: ($i > $i > $o) > $o). 15.12/2.30 thf(func_def_26, type, mfunctional: ($i > $i > $o) > $o). 15.12/2.30 thf(func_def_27, type, mweakly_dense: ($i > $i > $o) > $o). 15.12/2.30 thf(func_def_28, type, mweakly_connected: ($i > $i > $o) > $o). 15.12/2.30 thf(func_def_29, type, mweakly_directed: ($i > $i > $o) > $o). 15.12/2.30 thf(func_def_30, type, mvalid: ($i > $o) > $o). 15.12/2.30 thf(func_def_31, type, msatisfiable: ($i > $o) > $o). 15.12/2.30 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o). 15.12/2.30 thf(func_def_33, type, minvalid: ($i > $o) > $o). 15.12/2.30 thf(func_def_34, type, rel_s4: $i > $i > $o). 15.12/2.30 thf(func_def_35, type, mbox_s4: ($i > $o) > $i > $o). 15.12/2.30 thf(func_def_36, type, mdia_s4: ($i > $o) > $i > $o). 15.12/2.30 thf(func_def_37, type, big_p: mu > $i > $o). 15.12/2.30 thf(func_def_54, type, ph1: !>[X0: $tType]:(X0)). 15.12/2.30 thf(func_def_55, type, sK2: $i > mu). 15.12/2.30 thf(func_def_63, type, sK10: mu). 15.12/2.30 thf(func_def_69, type, sK16: mu). 15.12/2.30 thf(func_def_70, type, sK17: mu). 15.12/2.30 thf(func_def_71, type, sK18: mu). 15.12/2.30 thf(func_def_79, type, sK26: mu). 15.12/2.30 thf(func_def_81, type, sK28: mu). 15.12/2.30 thf(func_def_82, type, sK29: mu). 15.12/2.30 thf(func_def_84, type, sK31: mu). 15.12/2.30 thf(func_def_92, type, sK39: mu). 15.12/2.30 thf(func_def_93, type, sK40: mu). 15.12/2.30 thf(func_def_101, type, sK48: mu). 15.12/2.30 thf(func_def_106, type, sK53: mu). 15.12/2.30 thf(func_def_114, type, sK61: mu). 15.12/2.30 thf(f14771,plain,( 15.12/2.30 $false), 15.12/2.30 inference(avatar_sat_refutation,[],[f222,f318,f848,f1366,f5712,f6662,f14770])). 15.12/2.30 thf(f14770,plain,( 15.12/2.30 ~spl0_2 | ~spl0_4), 15.12/2.30 inference(avatar_contradiction_clause,[],[f14769])). 15.12/2.30 thf(f14769,plain,( 15.12/2.30 $false | (~spl0_2 | ~spl0_4)), 15.12/2.30 inference(trivial_inequality_removal,[],[f14768])). 15.12/2.30 thf(f14768,plain,( 15.12/2.30 ($false = $true) | (~spl0_2 | ~spl0_4)), 15.12/2.30 inference(boolean_simplification,[],[f14767])). 15.12/2.30 thf(f14767,plain,( 15.12/2.30 ((~ $true) = $true) | (~spl0_2 | ~spl0_4)), 15.12/2.30 inference(forward_demodulation,[],[f14766,f168])). 15.12/2.30 thf(f168,plain,( 15.12/2.30 ( ! [X1 : $i] : (((rel_s4 @ X1 @ X1) = $true)) )), 15.12/2.30 inference(beta_eta_normalization,[],[f167])). 15.12/2.30 thf(f167,plain,( 15.12/2.30 ( ! [X1 : $i] : ((((^[Y0 : $i]: (rel_s4 @ Y0 @ Y0)) @ X1) = $true)) )), 15.12/2.30 inference(pi_clausification,[],[f165])). 15.12/2.30 thf(f165,plain,( 15.12/2.30 ((!! @ $i @ (^[Y0 : $i]: (rel_s4 @ Y0 @ Y0))) = $true)), 15.12/2.30 inference(beta_eta_normalization,[],[f159])). 15.12/2.30 thf(f159,plain,( 15.12/2.30 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ rel_s4) = $true)), 15.12/2.30 inference(definition_unfolding,[],[f116,f113])). 15.12/2.30 thf(f113,plain,( 15.12/2.30 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))), 15.12/2.30 inference(cnf_transformation,[],[f43])). 15.12/2.30 thf(f43,plain,( 15.12/2.30 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))), 15.12/2.30 inference(fool_elimination,[],[f42])). 15.12/2.30 thf(f42,plain,( 15.12/2.30 ((^[X0 : $i > $i > $o] : (! [X1] : (X0 @ X1 @ X1))) = mreflexive)), 15.12/2.30 inference(rectify,[],[f17])). 15.12/2.30 thf(f17,axiom,( 15.12/2.30 ((^[X5 : $i > $i > $o] : (! [X8] : (X5 @ X8 @ X8))) = mreflexive)), 15.12/2.30 file('/export/starexec/sandbox2/tmp/tmp.1wmOCxOr4s/Vampire---4.8_13479',mreflexive)). 15.12/2.30 thf(f116,plain,( 15.12/2.30 ((mreflexive @ rel_s4) = $true)), 15.12/2.30 inference(cnf_transformation,[],[f74])). 15.12/2.30 thf(f74,plain,( 15.12/2.30 ((mreflexive @ rel_s4) = $true)), 15.12/2.30 inference(fool_elimination,[],[f73])). 15.12/2.30 thf(f73,plain,( 15.12/2.30 (mreflexive @ rel_s4)), 15.12/2.30 inference(rectify,[],[f35])). 15.12/2.30 thf(f35,axiom,( 15.12/2.30 (mreflexive @ rel_s4)), 15.12/2.30 file('/export/starexec/sandbox2/tmp/tmp.1wmOCxOr4s/Vampire---4.8_13479',a1)). 15.12/2.30 thf(f14766,plain,( 15.12/2.30 ((~ (rel_s4 @ sK30 @ sK30)) = $true) | (~spl0_2 | ~spl0_4)), 15.12/2.30 inference(boolean_simplification,[],[f14765])). 15.12/2.30 thf(f14765,plain,( 15.12/2.30 (($false | (~ (rel_s4 @ sK30 @ sK30))) = $true) | (~spl0_2 | ~spl0_4)), 15.12/2.30 inference(boolean_simplification,[],[f14764])). 15.12/2.31 thf(f14764,plain,( 15.12/2.31 (((~ $true) | (~ (rel_s4 @ sK30 @ sK30))) = $true) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(forward_demodulation,[],[f14701,f7325])). 15.12/2.31 thf(f7325,plain,( 15.12/2.31 ((!! @ $i @ (^[Y0 : $i]: ((big_p @ sK31 @ Y0) | (~ (rel_s4 @ sK30 @ Y0))))) = $true) | ~spl0_4), 15.12/2.31 inference(not_proxy_clausification,[],[f7125])). 15.12/2.31 thf(f7125,plain,( 15.12/2.31 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ sK31 @ Y0) | (~ (rel_s4 @ sK30 @ Y0))))))) | ~spl0_4), 15.12/2.31 inference(binary_proxy_clausification,[],[f7093])). 15.12/2.31 thf(f7093,plain,( 15.12/2.31 ($false = ((exists_in_world @ sK31 @ sK30) => (~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ sK31 @ Y0) | (~ (rel_s4 @ sK30 @ Y0)))))))) | ~spl0_4), 15.12/2.31 inference(beta_eta_normalization,[],[f7092])). 15.12/2.31 thf(f7092,plain,( 15.12/2.31 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK30) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK30 @ Y1)))))))) @ sK31)) | ~spl0_4), 15.12/2.31 inference(sigma_clausification,[],[f7068])). 15.12/2.31 thf(f7068,plain,( 15.12/2.31 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK30) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK30 @ Y1))))))))) = $false) | ~spl0_4), 15.12/2.31 inference(boolean_simplification,[],[f7067])). 15.12/2.31 thf(f7067,plain,( 15.12/2.31 ($false = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK30) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK30 @ Y1))))))))) | $false)) | ~spl0_4), 15.12/2.31 inference(backward_demodulation,[],[f6886,f7065])). 15.12/2.31 thf(f7065,plain,( 15.12/2.31 ($false = (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK30 @ Y0)))))) | ~spl0_4), 15.12/2.31 inference(binary_proxy_clausification,[],[f6886])). 15.12/2.31 thf(f6886,plain,( 15.12/2.31 ($false = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK30) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK30 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK30 @ Y0))))))) | ~spl0_4), 15.12/2.31 inference(binary_proxy_clausification,[],[f6871])). 15.12/2.31 thf(f6871,plain,( 15.12/2.31 ($false = (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK30) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK30 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK30 @ Y0)))))) | (~ (rel_s4 @ sK4 @ sK30)))) | ~spl0_4), 15.12/2.31 inference(beta_eta_normalization,[],[f6870])). 15.12/2.31 thf(f6870,plain,( 15.12/2.31 ($false = ((^[Y0 : $i]: (((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))) @ sK30)) | ~spl0_4), 15.12/2.31 inference(sigma_clausification,[],[f6854])). 15.12/2.31 thf(f6854,plain,( 15.12/2.31 ($false = (!! @ $i @ (^[Y0 : $i]: (((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | ~spl0_4), 15.12/2.31 inference(not_proxy_clausification,[],[f317])). 15.12/2.31 thf(f317,plain,( 15.12/2.31 ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) = $true) | ~spl0_4), 15.12/2.31 inference(avatar_component_clause,[],[f316])). 15.12/2.31 thf(f316,plain,( 15.12/2.31 spl0_4 <=> ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) = $true)), 15.12/2.31 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 15.12/2.31 thf(f14701,plain,( 15.12/2.31 (((~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ sK31 @ Y0) | (~ (rel_s4 @ sK30 @ Y0)))))) | (~ (rel_s4 @ sK30 @ sK30))) = $true) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(boolean_simplification,[],[f14694])). 15.12/2.31 thf(f14694,plain,( 15.12/2.31 ((((~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ sK31 @ Y0) | (~ (rel_s4 @ sK30 @ Y0)))))) | $false) | (~ (rel_s4 @ sK30 @ sK30))) = $true) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(superposition,[],[f14643,f7065])). 15.12/2.31 thf(f14643,plain,( 15.12/2.31 ( ! [X1 : $i] : (((((~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ sK31 @ Y0) | (~ (rel_s4 @ X1 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ X1 @ Y0)))))) | (~ (rel_s4 @ sK30 @ X1))) = $true)) ) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(beta_eta_normalization,[],[f14637])). 15.12/2.31 thf(f14637,plain,( 15.12/2.31 ( ! [X1 : $i] : ((((^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK31 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK30 @ Y0)))) @ X1) = $true)) ) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(pi_clausification,[],[f10608])). 15.12/2.31 thf(f10608,plain,( 15.12/2.31 ((!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK31 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK30 @ Y0))))) = $true) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(boolean_simplification,[],[f10607])). 15.12/2.31 thf(f10607,plain,( 15.12/2.31 (($true => (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK31 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK30 @ Y0)))))) = $true) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(forward_demodulation,[],[f10604,f7126])). 15.12/2.31 thf(f7126,plain,( 15.12/2.31 ((exists_in_world @ sK31 @ sK30) = $true) | ~spl0_4), 15.12/2.31 inference(binary_proxy_clausification,[],[f7093])). 15.12/2.31 thf(f10604,plain,( 15.12/2.31 (((exists_in_world @ sK31 @ sK30) => (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK31 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK30 @ Y0)))))) = $true) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(boolean_simplification,[],[f10603])). 15.12/2.31 thf(f10603,plain,( 15.12/2.31 (((exists_in_world @ sK31 @ sK30) => (~ (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK31 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK30 @ Y0)))))))) = $true) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(boolean_simplification,[],[f10602])). 15.12/2.31 thf(f10602,plain,( 15.12/2.31 (((exists_in_world @ sK31 @ sK30) => (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK31 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK30 @ Y0)))))) | $false))) = $true) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(superposition,[],[f7281,f10579])). 15.12/2.31 thf(f10579,plain,( 15.12/2.31 ($false = (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK31 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK30 @ Y0))))))) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(boolean_simplification,[],[f10578])). 15.12/2.31 thf(f10578,plain,( 15.12/2.31 ($false = ($false | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK31 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK30 @ Y0)))))))) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(backward_demodulation,[],[f10518,f10574])). 15.12/2.31 thf(f10574,plain,( 15.12/2.31 ($false = (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK31 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK30 @ Y0))))))) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(binary_proxy_clausification,[],[f10518])). 15.12/2.31 thf(f10518,plain,( 15.12/2.31 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK31 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK30 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK31 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK30 @ Y0)))))))) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(not_proxy_clausification,[],[f7308])). 15.12/2.31 thf(f7308,plain,( 15.12/2.31 ((~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK31 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK30 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK31 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK30 @ Y0)))))))) = $true) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(boolean_simplification,[],[f7303])). 15.12/2.31 thf(f7303,plain,( 15.12/2.31 (($true => (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK31 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK30 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK31 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK30 @ Y0))))))))) = $true) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(superposition,[],[f7281,f7126])). 15.12/2.31 thf(f7281,plain,( 15.12/2.31 ( ! [X1 : mu] : ((((exists_in_world @ X1 @ sK30) => (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ X1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK30 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ X1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK30 @ Y0))))))))) = $true)) ) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(beta_eta_normalization,[],[f7278])). 15.12/2.31 thf(f7278,plain,( 15.12/2.31 ( ! [X1 : mu] : ((((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK30) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK30 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK30 @ Y1)))))))))) @ X1) = $true)) ) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(pi_clausification,[],[f6900])). 15.12/2.31 thf(f6900,plain,( 15.12/2.31 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK30) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK30 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK30 @ Y1))))))))))) = $true) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(boolean_simplification,[],[f6897])). 15.12/2.31 thf(f6897,plain,( 15.12/2.31 (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK30) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK30 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK30 @ Y1))))))))))) | $false) = $true) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(superposition,[],[f6734,f6892])). 15.12/2.31 thf(f6892,plain,( 15.12/2.31 ($false = (~ (rel_s4 @ sK4 @ sK30))) | ~spl0_4), 15.12/2.31 inference(boolean_simplification,[],[f6891])). 15.12/2.31 thf(f6891,plain,( 15.12/2.31 ($false = ($false | (~ (rel_s4 @ sK4 @ sK30)))) | ~spl0_4), 15.12/2.31 inference(backward_demodulation,[],[f6871,f6886])). 15.12/2.31 thf(f6734,plain,( 15.12/2.31 ( ! [X1 : $i] : ((((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ X1 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ X1 @ Y1))))))))))) | (~ (rel_s4 @ sK4 @ X1))) = $true)) ) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(beta_eta_normalization,[],[f6733])). 15.12/2.31 thf(f6733,plain,( 15.12/2.31 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))) @ X1) = $true)) ) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(pi_clausification,[],[f6714])). 15.12/2.31 thf(f6714,plain,( 15.12/2.31 ($true = (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(not_proxy_clausification,[],[f6710])). 15.12/2.31 thf(f6710,plain,( 15.12/2.31 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0))))))) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(boolean_simplification,[],[f6709])). 15.12/2.31 thf(f6709,plain,( 15.12/2.31 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | $false)) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(backward_demodulation,[],[f6693,f6707])). 15.12/2.31 thf(f6707,plain,( 15.12/2.31 ((~ (rel_s4 @ sK3 @ sK4)) = $false) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(binary_proxy_clausification,[],[f6693])). 15.12/2.31 thf(f6693,plain,( 15.12/2.31 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (rel_s4 @ sK3 @ sK4)))) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(boolean_simplification,[],[f6692])). 15.12/2.31 thf(f6692,plain,( 15.12/2.31 ($false = (((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | $false) | (~ (rel_s4 @ sK3 @ sK4)))) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(boolean_simplification,[],[f6691])). 15.12/2.31 thf(f6691,plain,( 15.12/2.31 ($false = (((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ $true)) | (~ (rel_s4 @ sK3 @ sK4)))) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(boolean_simplification,[],[f6690])). 15.12/2.31 thf(f6690,plain,( 15.12/2.31 ($false = (((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ ($true | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0))))))))) | (~ (rel_s4 @ sK3 @ sK4)))) | (~spl0_2 | ~spl0_4)), 15.12/2.31 inference(forward_demodulation,[],[f6689,f317])). 15.12/2.31 thf(f6689,plain,( 15.12/2.31 ($false = (((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0))))))))) | (~ (rel_s4 @ sK3 @ sK4)))) | ~spl0_2), 15.12/2.31 inference(beta_eta_normalization,[],[f6688])). 15.12/2.31 thf(f6688,plain,( 15.12/2.31 (((^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))) | (~ (rel_s4 @ sK3 @ Y0)))) @ sK4) = $false) | ~spl0_2), 15.12/2.31 inference(sigma_clausification,[],[f6676])). 15.12/2.31 thf(f6676,plain,( 15.12/2.31 ((!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ~spl0_2), 15.12/2.31 inference(not_proxy_clausification,[],[f221])). 15.12/2.31 thf(f221,plain,( 15.12/2.31 ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ~spl0_2), 15.12/2.31 inference(avatar_component_clause,[],[f220])). 15.12/2.31 thf(f220,plain,( 15.12/2.31 spl0_2 <=> ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true)), 15.12/2.31 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 15.12/2.31 thf(f6662,plain,( 15.12/2.31 ~spl0_1 | ~spl0_11), 15.12/2.31 inference(avatar_contradiction_clause,[],[f6661])). 15.12/2.31 thf(f6661,plain,( 15.12/2.31 $false | (~spl0_1 | ~spl0_11)), 15.12/2.31 inference(trivial_inequality_removal,[],[f6660])). 15.12/2.31 thf(f6660,plain,( 15.12/2.31 ($false = $true) | (~spl0_1 | ~spl0_11)), 15.12/2.31 inference(boolean_simplification,[],[f6659])). 15.12/2.31 thf(f6659,plain,( 15.12/2.31 ((~ $true) = $true) | (~spl0_1 | ~spl0_11)), 15.12/2.31 inference(forward_demodulation,[],[f6651,f5789])). 15.12/2.31 thf(f5789,plain,( 15.12/2.31 ((exists_in_world @ sK10 @ sK12) = $true) | (~spl0_1 | ~spl0_11)), 15.12/2.31 inference(boolean_simplification,[],[f5769])). 15.12/2.31 thf(f5769,plain,( 15.12/2.31 (($true => (exists_in_world @ sK10 @ sK12)) = $true) | (~spl0_1 | ~spl0_11)), 15.12/2.31 inference(superposition,[],[f1073,f5762])). 15.12/2.31 thf(f5762,plain,( 15.12/2.31 ((rel_s4 @ sK9 @ sK12) = $true) | ~spl0_11), 15.12/2.31 inference(not_proxy_clausification,[],[f5761])). 15.12/2.31 thf(f5761,plain,( 15.12/2.31 ($false = (~ (rel_s4 @ sK9 @ sK12))) | ~spl0_11), 15.12/2.31 inference(boolean_simplification,[],[f5760])). 15.12/2.31 thf(f5760,plain,( 15.12/2.31 ($false = ($false | (~ (rel_s4 @ sK9 @ sK12)))) | ~spl0_11), 15.12/2.31 inference(backward_demodulation,[],[f5728,f5759])). 15.12/2.31 thf(f5759,plain,( 15.12/2.31 (((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK12 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((big_p @ sK10 @ Y0) | (~ (rel_s4 @ sK12 @ Y0)))))) = $false) | ~spl0_11), 15.12/2.31 inference(binary_proxy_clausification,[],[f5728])). 15.12/2.31 thf(f5728,plain,( 15.12/2.31 ($false = (((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK12 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((big_p @ sK10 @ Y0) | (~ (rel_s4 @ sK12 @ Y0)))))) | (~ (rel_s4 @ sK9 @ sK12)))) | ~spl0_11), 15.12/2.31 inference(beta_eta_normalization,[],[f5727])). 15.12/2.31 thf(f5727,plain,( 15.12/2.31 ($false = ((^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK9 @ Y0)))) @ sK12)) | ~spl0_11), 15.12/2.31 inference(sigma_clausification,[],[f5717])). 15.12/2.31 thf(f5717,plain,( 15.12/2.31 ($false = (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK9 @ Y0)))))) | ~spl0_11), 15.12/2.31 inference(not_proxy_clausification,[],[f1362])). 15.12/2.31 thf(f1362,plain,( 15.12/2.31 ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK9 @ Y0)))))) = $true) | ~spl0_11), 15.12/2.31 inference(avatar_component_clause,[],[f1361])). 15.12/2.31 thf(f1361,plain,( 15.12/2.31 spl0_11 <=> ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK9 @ Y0)))))) = $true)), 15.12/2.31 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])). 15.12/2.31 thf(f1073,plain,( 15.12/2.31 ( ! [X0 : $i] : ((((rel_s4 @ sK9 @ X0) => (exists_in_world @ sK10 @ X0)) = $true)) ) | ~spl0_1), 15.12/2.31 inference(boolean_simplification,[],[f1068])). 15.12/2.31 thf(f1068,plain,( 15.12/2.31 ( ! [X0 : $i] : (((($true & (rel_s4 @ sK9 @ X0)) => (exists_in_world @ sK10 @ X0)) = $true)) ) | ~spl0_1), 15.12/2.31 inference(superposition,[],[f178,f1061])). 15.12/2.31 thf(f1061,plain,( 15.12/2.31 ((exists_in_world @ sK10 @ sK9) = $true) | ~spl0_1), 15.12/2.31 inference(binary_proxy_clausification,[],[f1050])). 15.12/2.31 thf(f1050,plain,( 15.12/2.31 ($false = ((exists_in_world @ sK10 @ sK9) => (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK9 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK9 @ Y0)))))))))) | ~spl0_1), 15.12/2.31 inference(beta_eta_normalization,[],[f1049])). 15.12/2.31 thf(f1049,plain,( 15.12/2.31 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK9) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK9 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK9 @ Y1)))))))))) @ sK10)) | ~spl0_1), 15.12/2.31 inference(sigma_clausification,[],[f969])). 15.12/2.31 thf(f969,plain,( 15.12/2.31 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK9) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK9 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK9 @ Y1)))))))))))) | ~spl0_1), 15.12/2.31 inference(binary_proxy_clausification,[],[f958])). 15.12/2.31 thf(f958,plain,( 15.12/2.31 ($false = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK9) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK9 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK9 @ Y1))))))))))) | (~ (rel_s4 @ sK8 @ sK9)))) | ~spl0_1), 15.12/2.31 inference(beta_eta_normalization,[],[f957])). 15.12/2.31 thf(f957,plain,( 15.12/2.31 (((^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK8 @ Y0)))) @ sK9) = $false) | ~spl0_1), 15.12/2.31 inference(sigma_clausification,[],[f945])). 15.12/2.31 thf(f945,plain,( 15.12/2.31 ($false = (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK8 @ Y0)))))) | ~spl0_1), 15.12/2.31 inference(boolean_simplification,[],[f944])). 15.12/2.31 thf(f944,plain,( 15.12/2.31 ($false = ($false | (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK8 @ Y0))))))) | ~spl0_1), 15.12/2.31 inference(backward_demodulation,[],[f888,f943])). 15.12/2.31 thf(f943,plain,( 15.12/2.31 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK8 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK8 @ Y0)))))))) | ~spl0_1), 15.12/2.31 inference(binary_proxy_clausification,[],[f888])). 15.12/2.31 thf(f888,plain,( 15.12/2.31 ($false = (((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK8 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK8 @ Y0))))))) | (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK8 @ Y0))))))) | ~spl0_1), 15.12/2.31 inference(binary_proxy_clausification,[],[f875])). 15.12/2.31 thf(f875,plain,( 15.12/2.31 ($false = ((((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK8 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK8 @ Y0))))))) | (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK8 @ Y0)))))) | (~ (rel_s4 @ sK3 @ sK8)))) | ~spl0_1), 15.12/2.31 inference(beta_eta_normalization,[],[f874])). 15.12/2.31 thf(f874,plain,( 15.12/2.31 ($false = ((^[Y0 : $i]: ((((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0)))) @ sK8)) | ~spl0_1), 15.12/2.31 inference(sigma_clausification,[],[f860])). 15.12/2.31 thf(f860,plain,( 15.12/2.31 ($false = (!! @ $i @ (^[Y0 : $i]: ((((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0)))))) | ~spl0_1), 15.12/2.31 inference(not_proxy_clausification,[],[f218])). 15.12/2.31 thf(f218,plain,( 15.12/2.31 ((~ (!! @ $i @ (^[Y0 : $i]: ((((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ~spl0_1), 15.12/2.31 inference(avatar_component_clause,[],[f217])). 15.12/2.31 thf(f217,plain,( 15.12/2.31 spl0_1 <=> ((~ (!! @ $i @ (^[Y0 : $i]: ((((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true)), 15.12/2.31 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 15.12/2.31 thf(f178,plain,( 15.12/2.31 ( ! [X2 : mu,X3 : $i,X1 : $i] : (((((exists_in_world @ X2 @ X1) & (rel_s4 @ X1 @ X3)) => (exists_in_world @ X2 @ X3)) = $true)) )), 15.12/2.31 inference(beta_eta_normalization,[],[f177])). 15.12/2.31 thf(f177,plain,( 15.12/2.31 ( ! [X2 : mu,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (((exists_in_world @ X2 @ X1) & (rel_s4 @ X1 @ Y0)) => (exists_in_world @ X2 @ Y0))) @ X3) = $true)) )), 15.12/2.31 inference(pi_clausification,[],[f176])). 15.12/2.31 thf(f176,plain,( 15.12/2.31 ( ! [X2 : mu,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((exists_in_world @ X2 @ X1) & (rel_s4 @ X1 @ Y0)) => (exists_in_world @ X2 @ Y0)))) = $true)) )), 15.12/2.31 inference(beta_eta_normalization,[],[f175])). 15.12/2.31 thf(f175,plain,( 15.12/2.31 ( ! [X2 : mu,X1 : $i] : ((((^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (((exists_in_world @ Y0 @ X1) & (rel_s4 @ X1 @ Y1)) => (exists_in_world @ Y0 @ Y1))))) @ X2) = $true)) )), 15.12/2.31 inference(pi_clausification,[],[f174])). 15.12/2.31 thf(f174,plain,( 15.12/2.31 ( ! [X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (((exists_in_world @ Y0 @ X1) & (rel_s4 @ X1 @ Y1)) => (exists_in_world @ Y0 @ Y1)))))) = $true)) )), 15.12/2.31 inference(beta_eta_normalization,[],[f173])). 15.12/2.31 thf(f173,plain,( 15.12/2.31 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: (((exists_in_world @ Y1 @ Y0) & (rel_s4 @ Y0 @ Y2)) => (exists_in_world @ Y1 @ Y2))))))) @ X1) = $true)) )), 15.12/2.31 inference(pi_clausification,[],[f129])). 15.12/2.31 thf(f129,plain,( 15.12/2.31 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: (((exists_in_world @ Y1 @ Y0) & (rel_s4 @ Y0 @ Y2)) => (exists_in_world @ Y1 @ Y2)))))))) = $true)), 15.12/2.31 inference(cnf_transformation,[],[f93])). 15.12/2.31 thf(f93,plain,( 15.12/2.31 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: (((exists_in_world @ Y1 @ Y0) & (rel_s4 @ Y0 @ Y2)) => (exists_in_world @ Y1 @ Y2)))))))) = $true)), 15.12/2.31 inference(fool_elimination,[],[f92])). 15.12/2.31 thf(f92,plain,( 15.12/2.31 ! [X0,X1 : mu,X2] : (((rel_s4 @ X2 @ X0) & (exists_in_world @ X1 @ X2)) => (exists_in_world @ X1 @ X0))), 15.12/2.31 inference(rectify,[],[f36])). 15.12/2.31 thf(f36,axiom,( 15.12/2.31 ! [X2,X0 : mu,X6] : (((rel_s4 @ X6 @ X2) & (exists_in_world @ X0 @ X6)) => (exists_in_world @ X0 @ X2))), 15.12/2.31 file('/export/starexec/sandbox2/tmp/tmp.1wmOCxOr4s/Vampire---4.8_13479',cumulative_ax)). 15.12/2.31 thf(f6651,plain,( 15.12/2.31 ((~ (exists_in_world @ sK10 @ sK12)) = $true) | ~spl0_11), 15.12/2.31 inference(boolean_simplification,[],[f6640])). 15.12/2.31 thf(f6640,plain,( 15.12/2.31 (((exists_in_world @ sK10 @ sK12) => $false) = $true) | ~spl0_11), 15.12/2.31 inference(superposition,[],[f6600,f5999])). 15.12/2.31 thf(f5999,plain,( 15.12/2.31 ($false = (!! @ $i @ (^[Y0 : $i]: ((big_p @ sK10 @ Y0) | (~ (rel_s4 @ sK12 @ Y0)))))) | ~spl0_11), 15.12/2.31 inference(binary_proxy_clausification,[],[f5759])). 15.12/2.31 thf(f6600,plain,( 15.12/2.31 ( ! [X1 : mu] : ((((exists_in_world @ X1 @ sK12) => (!! @ $i @ (^[Y0 : $i]: ((big_p @ X1 @ Y0) | (~ (rel_s4 @ sK12 @ Y0)))))) = $true)) ) | ~spl0_11), 15.12/2.31 inference(beta_eta_normalization,[],[f6597])). 15.12/2.31 thf(f6597,plain,( 15.12/2.31 ( ! [X1 : mu] : ((((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK12) => (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK12 @ Y1))))))) @ X1) = $true)) ) | ~spl0_11), 15.12/2.31 inference(pi_clausification,[],[f6117])). 15.12/2.31 thf(f6117,plain,( 15.12/2.31 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK12) => (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK12 @ Y1)))))))) = $true) | ~spl0_11), 15.12/2.31 inference(boolean_simplification,[],[f6116])). 15.12/2.31 thf(f6116,plain,( 15.12/2.31 (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK12) => (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK12 @ Y1)))))))) | $false) = $true) | ~spl0_11), 15.12/2.31 inference(boolean_simplification,[],[f6103])). 15.12/2.31 thf(f6103,plain,( 15.12/2.31 (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK12) => (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK12 @ Y1)))))))) | (~ $true)) = $true) | ~spl0_11), 15.12/2.31 inference(superposition,[],[f6055,f168])). 15.12/2.31 thf(f6055,plain,( 15.12/2.31 ( ! [X1 : $i] : ((((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ X1 @ Y1)))))))) | (~ (rel_s4 @ sK12 @ X1))) = $true)) ) | ~spl0_11), 15.12/2.31 inference(beta_eta_normalization,[],[f6050])). 15.12/2.31 thf(f6050,plain,( 15.12/2.31 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK12 @ Y0)))) @ X1) = $true)) ) | ~spl0_11), 15.12/2.31 inference(pi_clausification,[],[f6034])). 15.12/2.31 thf(f6034,plain,( 15.12/2.31 ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK12 @ Y0))))) = $true) | ~spl0_11), 15.12/2.31 inference(not_proxy_clausification,[],[f6002])). 15.12/2.31 thf(f6002,plain,( 15.12/2.31 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK12 @ Y0))))))) | ~spl0_11), 15.12/2.31 inference(boolean_simplification,[],[f6001])). 15.12/2.31 thf(f6001,plain,( 15.12/2.31 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK12 @ Y0)))))) | $false)) | ~spl0_11), 15.12/2.31 inference(backward_demodulation,[],[f5759,f5999])). 15.12/2.31 thf(f5712,plain,( 15.12/2.31 ~spl0_1 | ~spl0_12), 15.12/2.31 inference(avatar_contradiction_clause,[],[f5711])). 15.12/2.31 thf(f5711,plain,( 15.12/2.31 $false | (~spl0_1 | ~spl0_12)), 15.12/2.31 inference(trivial_inequality_removal,[],[f5710])). 15.12/2.31 thf(f5710,plain,( 15.12/2.31 ($false = $true) | (~spl0_1 | ~spl0_12)), 15.12/2.31 inference(boolean_simplification,[],[f5709])). 15.12/2.31 thf(f5709,plain,( 15.12/2.31 ((~ $true) = $true) | (~spl0_1 | ~spl0_12)), 15.12/2.31 inference(forward_demodulation,[],[f5697,f2777])). 15.12/2.31 thf(f2777,plain,( 15.12/2.31 ((exists_in_world @ sK10 @ sK20) = $true) | (~spl0_1 | ~spl0_12)), 15.12/2.31 inference(boolean_simplification,[],[f2765])). 15.12/2.31 thf(f2765,plain,( 15.12/2.31 (($true => (exists_in_world @ sK10 @ sK20)) = $true) | (~spl0_1 | ~spl0_12)), 15.12/2.31 inference(superposition,[],[f1073,f2754])). 15.12/2.31 thf(f2754,plain,( 15.12/2.31 ((rel_s4 @ sK9 @ sK20) = $true) | ~spl0_12), 15.12/2.31 inference(not_proxy_clausification,[],[f2753])). 15.12/2.31 thf(f2753,plain,( 15.12/2.31 ($false = (~ (rel_s4 @ sK9 @ sK20))) | ~spl0_12), 15.12/2.31 inference(boolean_simplification,[],[f2752])). 15.12/2.31 thf(f2752,plain,( 15.12/2.31 ($false = ($false | (~ (rel_s4 @ sK9 @ sK20)))) | ~spl0_12), 15.12/2.31 inference(backward_demodulation,[],[f2654,f2751])). 15.12/2.31 thf(f2751,plain,( 15.12/2.31 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ sK10 @ Y0) | (~ (rel_s4 @ sK20 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK20 @ Y0))))))) | ~spl0_12), 15.12/2.31 inference(binary_proxy_clausification,[],[f2654])). 15.12/2.31 thf(f2654,plain,( 15.12/2.31 ($false = (((~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ sK10 @ Y0) | (~ (rel_s4 @ sK20 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK20 @ Y0)))))) | (~ (rel_s4 @ sK9 @ sK20)))) | ~spl0_12), 15.12/2.31 inference(beta_eta_normalization,[],[f2653])). 15.12/2.31 thf(f2653,plain,( 15.12/2.31 ($false = ((^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK9 @ Y0)))) @ sK20)) | ~spl0_12), 15.12/2.31 inference(sigma_clausification,[],[f2645])). 15.12/2.31 thf(f2645,plain,( 15.12/2.31 ($false = (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK9 @ Y0)))))) | ~spl0_12), 15.12/2.31 inference(not_proxy_clausification,[],[f1365])). 15.12/2.31 thf(f1365,plain,( 15.12/2.31 ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK9 @ Y0)))))) = $true) | ~spl0_12), 15.12/2.31 inference(avatar_component_clause,[],[f1364])). 15.12/2.31 thf(f1364,plain,( 15.12/2.31 spl0_12 <=> ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK9 @ Y0)))))) = $true)), 15.12/2.31 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])). 15.12/2.31 thf(f5697,plain,( 15.12/2.31 ((~ (exists_in_world @ sK10 @ sK20)) = $true) | (~spl0_1 | ~spl0_12)), 15.12/2.31 inference(boolean_simplification,[],[f5696])). 15.12/2.31 thf(f5696,plain,( 15.12/2.31 (((exists_in_world @ sK10 @ sK20) => $false) = $true) | (~spl0_1 | ~spl0_12)), 15.12/2.31 inference(boolean_simplification,[],[f5688])). 15.12/2.31 thf(f5688,plain,( 15.12/2.31 (((exists_in_world @ sK10 @ sK20) => (~ $true)) = $true) | (~spl0_1 | ~spl0_12)), 15.12/2.31 inference(superposition,[],[f5680,f5407])). 15.12/2.31 thf(f5407,plain,( 15.12/2.31 ((!! @ $i @ (^[Y0 : $i]: ((big_p @ sK10 @ Y0) | (~ (rel_s4 @ sK20 @ Y0))))) = $true) | ~spl0_12), 15.12/2.31 inference(not_proxy_clausification,[],[f4028])). 15.12/2.31 thf(f4028,plain,( 15.12/2.31 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ sK10 @ Y0) | (~ (rel_s4 @ sK20 @ Y0))))))) | ~spl0_12), 15.12/2.31 inference(binary_proxy_clausification,[],[f2751])). 15.12/2.31 thf(f5680,plain,( 15.12/2.31 ( ! [X1 : mu] : ((((exists_in_world @ X1 @ sK20) => (~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ X1 @ Y0) | (~ (rel_s4 @ sK20 @ Y0))))))) = $true)) ) | (~spl0_1 | ~spl0_12)), 15.12/2.31 inference(beta_eta_normalization,[],[f5673])). 15.12/2.31 thf(f5673,plain,( 15.12/2.31 ( ! [X1 : mu] : ((((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK20) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK20 @ Y1)))))))) @ X1) = $true)) ) | (~spl0_1 | ~spl0_12)), 15.12/2.31 inference(pi_clausification,[],[f4035])). 15.12/2.31 thf(f4035,plain,( 15.12/2.31 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK20) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK20 @ Y1))))))))) = $true) | (~spl0_1 | ~spl0_12)), 15.12/2.31 inference(boolean_simplification,[],[f4032])). 15.12/2.31 thf(f4032,plain,( 15.12/2.31 (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK20) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK20 @ Y1))))))))) | $false) = $true) | (~spl0_1 | ~spl0_12)), 15.12/2.31 inference(backward_demodulation,[],[f2807,f4030])). 15.12/2.31 thf(f4030,plain,( 15.12/2.31 ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK20 @ Y0))))) = $false) | ~spl0_12), 15.12/2.31 inference(boolean_simplification,[],[f4029])). 15.12/2.31 thf(f4029,plain,( 15.12/2.31 ($false = ($false | (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK20 @ Y0))))))) | ~spl0_12), 15.12/2.31 inference(backward_demodulation,[],[f2751,f4028])). 15.12/2.31 thf(f2807,plain,( 15.12/2.31 (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK20) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK20 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK20 @ Y0)))))) = $true) | (~spl0_1 | ~spl0_12)), 15.12/2.31 inference(boolean_simplification,[],[f2806])). 15.12/2.31 thf(f2806,plain,( 15.12/2.31 ((((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK20) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK20 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK20 @ Y0)))))) | $false) = $true) | (~spl0_1 | ~spl0_12)), 15.12/2.31 inference(boolean_simplification,[],[f2794])). 15.12/2.31 thf(f2794,plain,( 15.12/2.31 ((((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK20) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK20 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK20 @ Y0)))))) | (~ $true)) = $true) | (~spl0_1 | ~spl0_12)), 15.12/2.31 inference(superposition,[],[f1096,f2789])). 15.12/2.31 thf(f2789,plain,( 15.12/2.31 ((rel_s4 @ sK8 @ sK20) = $true) | (~spl0_1 | ~spl0_12)), 15.12/2.31 inference(boolean_simplification,[],[f2761])). 15.12/2.31 thf(f2761,plain,( 15.12/2.31 (($true => (rel_s4 @ sK8 @ sK20)) = $true) | (~spl0_1 | ~spl0_12)), 15.12/2.31 inference(superposition,[],[f982,f2754])). 15.12/2.31 thf(f982,plain,( 15.12/2.31 ( ! [X0 : $i] : ((((rel_s4 @ sK9 @ X0) => (rel_s4 @ sK8 @ X0)) = $true)) ) | ~spl0_1), 15.12/2.31 inference(boolean_simplification,[],[f977])). 15.12/2.31 thf(f977,plain,( 15.12/2.31 ( ! [X0 : $i] : (((((rel_s4 @ sK9 @ X0) & $true) => (rel_s4 @ sK8 @ X0)) = $true)) ) | ~spl0_1), 15.12/2.31 inference(superposition,[],[f197,f972])). 15.12/2.31 thf(f972,plain,( 15.12/2.31 ((rel_s4 @ sK8 @ sK9) = $true) | ~spl0_1), 15.12/2.31 inference(not_proxy_clausification,[],[f971])). 15.12/2.31 thf(f971,plain,( 15.12/2.31 ($false = (~ (rel_s4 @ sK8 @ sK9))) | ~spl0_1), 15.12/2.31 inference(boolean_simplification,[],[f970])). 15.12/2.31 thf(f970,plain,( 15.12/2.31 ($false = ($false | (~ (rel_s4 @ sK8 @ sK9)))) | ~spl0_1), 15.12/2.31 inference(backward_demodulation,[],[f958,f969])). 15.12/2.31 thf(f197,plain,( 15.12/2.31 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((rel_s4 @ X2 @ X3) & (rel_s4 @ X1 @ X2)) => (rel_s4 @ X1 @ X3)) = $true)) )), 15.12/2.31 inference(beta_eta_normalization,[],[f196])). 15.12/2.31 thf(f196,plain,( 15.12/2.31 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (((rel_s4 @ X2 @ Y0) & (rel_s4 @ X1 @ X2)) => (rel_s4 @ X1 @ Y0))) @ X3) = $true)) )), 15.12/2.31 inference(pi_clausification,[],[f195])). 15.12/2.31 thf(f195,plain,( 15.12/2.31 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((rel_s4 @ X2 @ Y0) & (rel_s4 @ X1 @ X2)) => (rel_s4 @ X1 @ Y0)))) = $true)) )), 15.12/2.31 inference(beta_eta_normalization,[],[f194])). 15.12/2.31 thf(f194,plain,( 15.12/2.31 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s4 @ Y0 @ Y1) & (rel_s4 @ X1 @ Y0)) => (rel_s4 @ X1 @ Y1))))) @ X2) = $true)) )), 15.12/2.31 inference(pi_clausification,[],[f193])). 15.12/2.31 thf(f193,plain,( 15.12/2.31 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s4 @ Y0 @ Y1) & (rel_s4 @ X1 @ Y0)) => (rel_s4 @ X1 @ Y1)))))) = $true)) )), 15.12/2.31 inference(beta_eta_normalization,[],[f192])). 15.12/2.31 thf(f192,plain,( 15.12/2.31 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y1 @ Y2) & (rel_s4 @ Y0 @ Y1)) => (rel_s4 @ Y0 @ Y2))))))) @ X1) = $true)) )), 15.12/2.31 inference(pi_clausification,[],[f166])). 15.12/2.31 thf(f166,plain,( 15.12/2.31 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y1 @ Y2) & (rel_s4 @ Y0 @ Y1)) => (rel_s4 @ Y0 @ Y2)))))))) = $true)), 15.12/2.31 inference(beta_eta_normalization,[],[f161])). 15.12/2.31 thf(f161,plain,( 15.12/2.31 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3))))))))) @ rel_s4) = $true)), 15.12/2.31 inference(definition_unfolding,[],[f140,f133])). 15.12/2.31 thf(f133,plain,( 15.12/2.31 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3))))))))))), 15.12/2.31 inference(cnf_transformation,[],[f51])). 15.12/2.31 thf(f51,plain,( 15.12/2.31 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3))))))))))), 15.12/2.31 inference(fool_elimination,[],[f50])). 15.12/2.31 thf(f50,plain,( 15.12/2.31 ((^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X3 @ X2) & (X0 @ X2 @ X1)) => (X0 @ X3 @ X1)))) = mtransitive)), 15.12/2.31 inference(rectify,[],[f20])). 15.12/2.31 thf(f20,axiom,( 15.12/2.31 ((^[X5 : $i > $i > $o] : (! [X10,X9,X8] : (((X5 @ X8 @ X9) & (X5 @ X9 @ X10)) => (X5 @ X8 @ X10)))) = mtransitive)), 15.12/2.31 file('/export/starexec/sandbox2/tmp/tmp.1wmOCxOr4s/Vampire---4.8_13479',mtransitive)). 15.12/2.31 thf(f140,plain,( 15.12/2.31 ((mtransitive @ rel_s4) = $true)), 15.12/2.31 inference(cnf_transformation,[],[f61])). 15.12/2.31 thf(f61,plain,( 15.12/2.31 ((mtransitive @ rel_s4) = $true)), 15.12/2.31 inference(fool_elimination,[],[f60])). 15.12/2.31 thf(f60,plain,( 15.12/2.31 (mtransitive @ rel_s4)), 15.12/2.31 inference(rectify,[],[f34])). 15.12/2.31 thf(f34,axiom,( 15.12/2.31 (mtransitive @ rel_s4)), 15.12/2.31 file('/export/starexec/sandbox2/tmp/tmp.1wmOCxOr4s/Vampire---4.8_13479',a2)). 15.12/2.31 thf(f1096,plain,( 15.12/2.31 ( ! [X1 : $i] : (((((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ X1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ X1 @ Y0)))))) | (~ (rel_s4 @ sK8 @ X1))) = $true)) ) | ~spl0_1), 15.12/2.31 inference(beta_eta_normalization,[],[f1095])). 15.12/2.31 thf(f1095,plain,( 15.12/2.31 ( ! [X1 : $i] : ((((^[Y0 : $i]: (((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK8 @ Y0)))) @ X1) = $true)) ) | ~spl0_1), 15.12/2.31 inference(pi_clausification,[],[f1087])). 15.12/2.31 thf(f1087,plain,( 15.12/2.31 ((!! @ $i @ (^[Y0 : $i]: (((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK8 @ Y0))))) = $true) | ~spl0_1), 15.12/2.31 inference(not_proxy_clausification,[],[f1077])). 15.12/2.31 thf(f1077,plain,( 15.12/2.31 ($false = (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK8 @ Y0))))))) | ~spl0_1), 15.12/2.31 inference(boolean_simplification,[],[f1076])). 15.12/2.31 thf(f1076,plain,( 15.12/2.31 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK8 @ Y0)))))) | $false)) | ~spl0_1), 15.12/2.31 inference(backward_demodulation,[],[f943,f1074])). 15.12/2.31 thf(f1074,plain,( 15.12/2.31 ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK8 @ Y0)))))) = $false) | ~spl0_1), 15.12/2.31 inference(binary_proxy_clausification,[],[f943])). 15.12/2.31 thf(f1366,plain,( 15.12/2.31 spl0_11 | spl0_12 | ~spl0_1), 15.12/2.31 inference(avatar_split_clause,[],[f1359,f217,f1364,f1361])). 15.12/2.31 thf(f1359,plain,( 15.12/2.31 ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK9 @ Y0)))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK9 @ Y0)))))) = $true) | ~spl0_1), 15.12/2.31 inference(binary_proxy_clausification,[],[f1340])). 15.12/2.31 thf(f1340,plain,( 15.12/2.31 (((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK9 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK9 @ Y0))))))) = $true) | ~spl0_1), 15.12/2.31 inference(not_proxy_clausification,[],[f1060])). 15.12/2.31 thf(f1060,plain,( 15.12/2.31 ($false = (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK9 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK10 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK9 @ Y0))))))))) | ~spl0_1), 15.12/2.31 inference(binary_proxy_clausification,[],[f1050])). 15.12/2.31 thf(f848,plain,( 15.12/2.31 ~spl0_2 | ~spl0_3), 15.12/2.31 inference(avatar_contradiction_clause,[],[f847])). 15.12/2.31 thf(f847,plain,( 15.12/2.31 $false | (~spl0_2 | ~spl0_3)), 15.12/2.31 inference(trivial_inequality_removal,[],[f846])). 15.12/2.31 thf(f846,plain,( 15.12/2.31 ($false = $true) | (~spl0_2 | ~spl0_3)), 15.12/2.31 inference(forward_demodulation,[],[f845,f591])). 15.12/2.31 thf(f591,plain,( 15.12/2.31 ($false = (!! @ $i @ (^[Y0 : $i]: ((big_p @ (sK2 @ sK4) @ Y0) | (~ (rel_s4 @ sK5 @ Y0)))))) | ~spl0_3), 15.12/2.31 inference(not_proxy_clausification,[],[f449])). 15.12/2.31 thf(f449,plain,( 15.12/2.31 ((~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ (sK2 @ sK4) @ Y0) | (~ (rel_s4 @ sK5 @ Y0)))))) = $true) | ~spl0_3), 15.12/2.31 inference(boolean_simplification,[],[f444])). 15.12/2.31 thf(f444,plain,( 15.12/2.31 (($true => (~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ (sK2 @ sK4) @ Y0) | (~ (rel_s4 @ sK5 @ Y0))))))) = $true) | ~spl0_3), 15.12/2.31 inference(superposition,[],[f433,f343])). 15.12/2.31 thf(f343,plain,( 15.12/2.31 ((exists_in_world @ (sK2 @ sK4) @ sK5) = $true) | ~spl0_3), 15.12/2.31 inference(boolean_simplification,[],[f341])). 15.12/2.31 thf(f341,plain,( 15.12/2.31 (($true => (exists_in_world @ (sK2 @ sK4) @ sK5)) = $true) | ~spl0_3), 15.12/2.31 inference(superposition,[],[f186,f330])). 15.12/2.31 thf(f330,plain,( 15.12/2.31 ((rel_s4 @ sK4 @ sK5) = $true) | ~spl0_3), 15.12/2.31 inference(not_proxy_clausification,[],[f329])). 15.12/2.31 thf(f329,plain,( 15.12/2.31 ($false = (~ (rel_s4 @ sK4 @ sK5))) | ~spl0_3), 15.12/2.31 inference(boolean_simplification,[],[f328])). 15.12/2.31 thf(f328,plain,( 15.12/2.31 ($false = ($false | (~ (rel_s4 @ sK4 @ sK5)))) | ~spl0_3), 15.12/2.31 inference(backward_demodulation,[],[f325,f327])). 15.12/2.31 thf(f327,plain,( 15.12/2.31 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK5 @ Y0)))))) | (~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK5) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK5 @ Y1)))))))))))) | ~spl0_3), 15.12/2.31 inference(binary_proxy_clausification,[],[f325])). 15.12/2.31 thf(f325,plain,( 15.12/2.31 ($false = (((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK5 @ Y0)))))) | (~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK5) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK5 @ Y1))))))))))) | (~ (rel_s4 @ sK4 @ sK5)))) | ~spl0_3), 15.12/2.31 inference(beta_eta_normalization,[],[f324])). 15.12/2.31 thf(f324,plain,( 15.12/2.31 ($false = ((^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))) @ sK5)) | ~spl0_3), 15.12/2.31 inference(sigma_clausification,[],[f321])). 15.12/2.31 thf(f321,plain,( 15.12/2.31 ((!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0))))) = $false) | ~spl0_3), 15.12/2.31 inference(not_proxy_clausification,[],[f314])). 15.12/2.31 thf(f314,plain,( 15.12/2.31 ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) = $true) | ~spl0_3), 15.12/2.31 inference(avatar_component_clause,[],[f313])). 15.12/2.31 thf(f313,plain,( 15.12/2.31 spl0_3 <=> ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) = $true)), 15.12/2.31 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 15.12/2.31 thf(f186,plain,( 15.12/2.31 ( ! [X0 : $i,X1 : $i] : ((((rel_s4 @ X0 @ X1) => (exists_in_world @ (sK2 @ X0) @ X1)) = $true)) )), 15.12/2.31 inference(boolean_simplification,[],[f182])). 15.12/2.31 thf(f182,plain,( 15.12/2.31 ( ! [X0 : $i,X1 : $i] : (((($true & (rel_s4 @ X0 @ X1)) => (exists_in_world @ (sK2 @ X0) @ X1)) = $true)) )), 15.12/2.31 inference(superposition,[],[f178,f172])). 15.12/2.31 thf(f172,plain,( 15.12/2.31 ( ! [X1 : $i] : (((exists_in_world @ (sK2 @ X1) @ X1) = $true)) )), 15.12/2.31 inference(beta_eta_normalization,[],[f171])). 15.12/2.31 thf(f171,plain,( 15.12/2.31 ( ! [X1 : $i] : ((((^[Y0 : mu]: (exists_in_world @ Y0 @ X1)) @ (sK2 @ X1)) = $true)) )), 15.12/2.31 inference(sigma_clausification,[],[f170])). 15.12/2.31 thf(f170,plain,( 15.12/2.31 ( ! [X1 : $i] : (($true = (?? @ mu @ (^[Y0 : mu]: (exists_in_world @ Y0 @ X1))))) )), 15.12/2.31 inference(beta_eta_normalization,[],[f169])). 15.12/2.31 thf(f169,plain,( 15.12/2.31 ( ! [X1 : $i] : ((((^[Y0 : $i]: (?? @ mu @ (^[Y1 : mu]: (exists_in_world @ Y1 @ Y0)))) @ X1) = $true)) )), 15.12/2.31 inference(pi_clausification,[],[f146])). 15.12/2.31 thf(f146,plain,( 15.12/2.31 ((!! @ $i @ (^[Y0 : $i]: (?? @ mu @ (^[Y1 : mu]: (exists_in_world @ Y1 @ Y0))))) = $true)), 15.12/2.31 inference(cnf_transformation,[],[f101])). 15.12/2.31 thf(f101,plain,( 15.12/2.31 ((!! @ $i @ (^[Y0 : $i]: (?? @ mu @ (^[Y1 : mu]: (exists_in_world @ Y1 @ Y0))))) = $true)), 15.12/2.31 inference(fool_elimination,[],[f100])). 15.12/2.31 thf(f100,plain,( 15.12/2.31 ! [X0] : ? [X1 : mu] : (exists_in_world @ X1 @ X0)), 15.12/2.31 inference(rectify,[],[f31])). 15.12/2.31 thf(f31,axiom,( 15.12/2.31 ! [X6] : ? [X0 : mu] : (exists_in_world @ X0 @ X6)), 15.12/2.31 file('/export/starexec/sandbox2/tmp/tmp.1wmOCxOr4s/Vampire---4.8_13479',nonempty_ax)). 15.12/2.31 thf(f433,plain,( 15.12/2.31 ( ! [X1 : mu] : ((((exists_in_world @ X1 @ sK5) => (~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ X1 @ Y0) | (~ (rel_s4 @ sK5 @ Y0))))))) = $true)) ) | ~spl0_3), 15.12/2.31 inference(beta_eta_normalization,[],[f432])). 15.12/2.31 thf(f432,plain,( 15.12/2.31 ( ! [X1 : mu] : ((((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK5) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK5 @ Y1)))))))) @ X1) = $true)) ) | ~spl0_3), 15.12/2.31 inference(pi_clausification,[],[f420])). 15.12/2.31 thf(f420,plain,( 15.12/2.31 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK5) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK5 @ Y1))))))))) = $true) | ~spl0_3), 15.12/2.31 inference(not_proxy_clausification,[],[f410])). 15.12/2.31 thf(f410,plain,( 15.12/2.31 ($false = (~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK5) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK5 @ Y1))))))))))) | ~spl0_3), 15.12/2.31 inference(boolean_simplification,[],[f409])). 15.12/2.31 thf(f409,plain,( 15.12/2.31 ($false = ($false | (~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK5) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK5 @ Y1)))))))))))) | ~spl0_3), 15.12/2.31 inference(backward_demodulation,[],[f327,f408])). 15.12/2.31 thf(f408,plain,( 15.12/2.31 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK5 @ Y0))))))) | ~spl0_3), 15.12/2.31 inference(binary_proxy_clausification,[],[f327])). 15.12/2.31 thf(f845,plain,( 15.12/2.31 ((!! @ $i @ (^[Y0 : $i]: ((big_p @ (sK2 @ sK4) @ Y0) | (~ (rel_s4 @ sK5 @ Y0))))) = $true) | (~spl0_2 | ~spl0_3)), 15.12/2.31 inference(boolean_simplification,[],[f844])). 15.12/2.31 thf(f844,plain,( 15.12/2.31 (($false | (!! @ $i @ (^[Y0 : $i]: ((big_p @ (sK2 @ sK4) @ Y0) | (~ (rel_s4 @ sK5 @ Y0)))))) = $true) | (~spl0_2 | ~spl0_3)), 15.12/2.31 inference(boolean_simplification,[],[f843])). 15.12/2.31 thf(f843,plain,( 15.12/2.31 (((~ $true) | (!! @ $i @ (^[Y0 : $i]: ((big_p @ (sK2 @ sK4) @ Y0) | (~ (rel_s4 @ sK5 @ Y0)))))) = $true) | (~spl0_2 | ~spl0_3)), 15.12/2.31 inference(forward_demodulation,[],[f810,f699])). 15.12/2.31 thf(f699,plain,( 15.12/2.31 ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK5 @ Y0))))) = $true) | ~spl0_3), 15.12/2.31 inference(not_proxy_clausification,[],[f408])). 15.12/2.31 thf(f810,plain,( 15.12/2.31 (((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK5 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((big_p @ (sK2 @ sK4) @ Y0) | (~ (rel_s4 @ sK5 @ Y0)))))) = $true) | (~spl0_2 | ~spl0_3)), 15.12/2.31 inference(boolean_simplification,[],[f809])). 15.12/2.31 thf(f809,plain,( 15.12/2.31 ((((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK5 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((big_p @ (sK2 @ sK4) @ Y0) | (~ (rel_s4 @ sK5 @ Y0)))))) | $false) = $true) | (~spl0_2 | ~spl0_3)), 15.12/2.31 inference(boolean_simplification,[],[f803])). 15.12/2.31 thf(f803,plain,( 15.12/2.31 ((((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK5 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((big_p @ (sK2 @ sK4) @ Y0) | (~ (rel_s4 @ sK5 @ Y0)))))) | (~ $true)) = $true) | (~spl0_2 | ~spl0_3)), 15.12/2.31 inference(superposition,[],[f786,f330])). 15.12/2.31 thf(f786,plain,( 15.12/2.31 ( ! [X1 : $i] : (((((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ X1 @ Y0)))))) | (!! @ $i @ (^[Y0 : $i]: ((big_p @ (sK2 @ sK4) @ Y0) | (~ (rel_s4 @ X1 @ Y0)))))) | (~ (rel_s4 @ sK4 @ X1))) = $true)) ) | ~spl0_2), 15.12/2.31 inference(beta_eta_normalization,[],[f784])). 15.12/2.31 thf(f784,plain,( 15.12/2.31 ( ! [X1 : $i] : ((((^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ (sK2 @ sK4) @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))) @ X1) = $true)) ) | ~spl0_2), 15.12/2.31 inference(pi_clausification,[],[f480])). 15.12/2.31 thf(f480,plain,( 15.12/2.31 ((!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ (sK2 @ sK4) @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0))))) = $true) | ~spl0_2), 15.12/2.31 inference(boolean_simplification,[],[f479])). 15.12/2.31 thf(f479,plain,( 15.12/2.31 (($true => (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ (sK2 @ sK4) @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) = $true) | ~spl0_2), 15.12/2.31 inference(forward_demodulation,[],[f476,f172])). 15.12/2.31 thf(f476,plain,( 15.12/2.31 (((exists_in_world @ (sK2 @ sK4) @ sK4) => (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ (sK2 @ sK4) @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) = $true) | ~spl0_2), 15.12/2.31 inference(boolean_simplification,[],[f475])). 15.12/2.31 thf(f475,plain,( 15.12/2.31 (((exists_in_world @ (sK2 @ sK4) @ sK4) => (~ (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ (sK2 @ sK4) @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))))) = $true) | ~spl0_2), 15.12/2.31 inference(boolean_simplification,[],[f474])). 15.12/2.31 thf(f474,plain,( 15.12/2.31 (((exists_in_world @ (sK2 @ sK4) @ sK4) => (~ ($false | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ (sK2 @ sK4) @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0))))))))) = $true) | ~spl0_2), 15.12/2.31 inference(superposition,[],[f282,f463])). 15.12/2.31 thf(f463,plain,( 15.12/2.31 ($false = (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ (sK2 @ sK4) @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0))))))) | ~spl0_2), 15.12/2.31 inference(boolean_simplification,[],[f462])). 15.12/2.31 thf(f462,plain,( 15.12/2.31 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ (sK2 @ sK4) @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | $false)) | ~spl0_2), 15.12/2.31 inference(backward_demodulation,[],[f306,f457])). 15.12/2.31 thf(f457,plain,( 15.12/2.31 ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ (sK2 @ sK4) @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) = $false) | ~spl0_2), 15.12/2.31 inference(binary_proxy_clausification,[],[f306])). 15.12/2.31 thf(f306,plain,( 15.12/2.31 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ (sK2 @ sK4) @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ (sK2 @ sK4) @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))))) | ~spl0_2), 15.12/2.31 inference(not_proxy_clausification,[],[f294])). 15.12/2.31 thf(f294,plain,( 15.12/2.31 ((~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ (sK2 @ sK4) @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ (sK2 @ sK4) @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))))) = $true) | ~spl0_2), 15.12/2.31 inference(boolean_simplification,[],[f293])). 15.12/2.31 thf(f293,plain,( 15.12/2.31 (($true => (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ (sK2 @ sK4) @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ (sK2 @ sK4) @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0))))))))) = $true) | ~spl0_2), 15.12/2.31 inference(superposition,[],[f282,f172])). 15.12/2.31 thf(f282,plain,( 15.12/2.31 ( ! [X1 : mu] : ((((exists_in_world @ X1 @ sK4) => (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ X1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (!! @ $i @ (^[Y1 : $i]: ((big_p @ X1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0))))))))) = $true)) ) | ~spl0_2), 15.12/2.31 inference(beta_eta_normalization,[],[f280])). 15.12/2.31 thf(f280,plain,( 15.12/2.31 ( ! [X1 : mu] : ((((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK4 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK4 @ Y1)))))))))) @ X1) = $true)) ) | ~spl0_2), 15.12/2.31 inference(pi_clausification,[],[f272])). 15.12/2.31 thf(f272,plain,( 15.12/2.31 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK4 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK4 @ Y1))))))))))) = $true) | ~spl0_2), 15.12/2.31 inference(boolean_simplification,[],[f271])). 15.12/2.31 thf(f271,plain,( 15.12/2.31 (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK4 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK4 @ Y1))))))))))) | $false) = $true) | ~spl0_2), 15.12/2.31 inference(boolean_simplification,[],[f270])). 15.12/2.31 thf(f270,plain,( 15.12/2.31 (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK4 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ sK4 @ Y1))))))))))) | (~ $true)) = $true) | ~spl0_2), 15.12/2.31 inference(superposition,[],[f261,f168])). 15.12/2.31 thf(f261,plain,( 15.12/2.31 ( ! [X1 : $i] : ((((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ X1 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ X1 @ Y1))))))))))) | (~ (rel_s4 @ sK4 @ X1))) = $true)) ) | ~spl0_2), 15.12/2.31 inference(beta_eta_normalization,[],[f260])). 15.12/2.31 thf(f260,plain,( 15.12/2.31 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))) @ X1) = $true)) ) | ~spl0_2), 15.12/2.31 inference(pi_clausification,[],[f251])). 15.12/2.31 thf(f251,plain,( 15.12/2.31 ($true = (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | ~spl0_2), 15.12/2.31 inference(not_proxy_clausification,[],[f240])). 15.12/2.31 thf(f240,plain,( 15.12/2.31 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0))))))) | ~spl0_2), 15.12/2.31 inference(boolean_simplification,[],[f239])). 15.12/2.31 thf(f239,plain,( 15.12/2.31 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | $false)) | ~spl0_2), 15.12/2.31 inference(backward_demodulation,[],[f233,f237])). 15.12/2.31 thf(f237,plain,( 15.12/2.31 ($false = (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0))))))))) | ~spl0_2), 15.12/2.31 inference(binary_proxy_clausification,[],[f233])). 15.12/2.31 thf(f233,plain,( 15.12/2.31 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))))))))) | ~spl0_2), 15.12/2.31 inference(boolean_simplification,[],[f232])). 15.12/2.31 thf(f232,plain,( 15.12/2.31 ($false = (((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0))))))))) | $false)) | ~spl0_2), 15.12/2.31 inference(backward_demodulation,[],[f229,f230])). 15.12/2.31 thf(f230,plain,( 15.12/2.31 ((~ (rel_s4 @ sK3 @ sK4)) = $false) | ~spl0_2), 15.12/2.31 inference(binary_proxy_clausification,[],[f229])). 15.12/2.31 thf(f229,plain,( 15.12/2.31 ($false = (((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0))))))))) | (~ (rel_s4 @ sK3 @ sK4)))) | ~spl0_2), 15.12/2.31 inference(beta_eta_normalization,[],[f228])). 15.12/2.31 thf(f228,plain,( 15.12/2.31 (((^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))) | (~ (rel_s4 @ sK3 @ Y0)))) @ sK4) = $false) | ~spl0_2), 15.12/2.31 inference(sigma_clausification,[],[f225])). 15.12/2.31 thf(f225,plain,( 15.12/2.31 ((!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))) | (~ (rel_s4 @ sK3 @ Y0))))) = $false) | ~spl0_2), 15.12/2.31 inference(not_proxy_clausification,[],[f221])). 15.12/2.31 thf(f318,plain,( 15.12/2.31 spl0_3 | spl0_4 | ~spl0_2), 15.12/2.31 inference(avatar_split_clause,[],[f311,f220,f316,f313])). 15.12/2.31 thf(f311,plain,( 15.12/2.31 ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) = $true) | ~spl0_2), 15.12/2.31 inference(binary_proxy_clausification,[],[f303])). 15.12/2.31 thf(f303,plain,( 15.12/2.31 (((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0))))))) = $true) | ~spl0_2), 15.12/2.31 inference(not_proxy_clausification,[],[f237])). 15.12/2.31 thf(f222,plain,( 15.12/2.31 spl0_1 | spl0_2), 15.12/2.31 inference(avatar_split_clause,[],[f215,f220,f217])). 15.12/2.31 thf(f215,plain,( 15.12/2.31 ((~ (!! @ $i @ (^[Y0 : $i]: ((((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))) | (~ (rel_s4 @ sK3 @ Y0)))))) = $true)), 15.12/2.31 inference(binary_proxy_clausification,[],[f212])). 15.12/2.31 thf(f212,plain,( 15.12/2.31 (((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0))))))) = $true)), 15.12/2.31 inference(not_proxy_clausification,[],[f211])). 15.12/2.31 thf(f211,plain,( 15.12/2.31 ($false = (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))) | (~ (rel_s4 @ sK3 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK3 @ Y0)))))))))), 15.12/2.31 inference(beta_eta_normalization,[],[f210])). 15.12/2.31 thf(f210,plain,( 15.12/2.31 ($false = ((^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1))))))))) @ sK3))), 15.12/2.31 inference(sigma_clausification,[],[f207])). 15.12/2.31 thf(f207,plain,( 15.12/2.31 ($false = (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))))))))), 15.12/2.31 inference(not_proxy_clausification,[],[f164])). 15.12/2.31 thf(f164,plain,( 15.12/2.31 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)), 15.12/2.31 inference(boolean_simplification,[],[f163])). 15.12/2.31 thf(f163,plain,( 15.12/2.31 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((((~ (!! @ $i @ (^[Y2 : $i]: (((~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)), 15.12/2.31 inference(boolean_simplification,[],[f162])). 15.12/2.31 thf(f162,plain,( 15.12/2.31 ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))))))) | (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))) = $true)), 15.12/2.31 inference(beta_eta_normalization,[],[f160])). 15.12/2.31 thf(f160,plain,( 15.12/2.31 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[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)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y2)))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0)) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) @ (big_p @ Y1))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) @ (big_p @ Y1))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[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)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[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)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0))))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[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)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[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)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[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)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y2)))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0)) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) @ (big_p @ Y1))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) @ (big_p @ Y1))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0))))))))))))) = $true)), 15.12/2.31 inference(definition_unfolding,[],[f120,f141,f150,f134,f151,f134,f130,f150,f134,f151,f134,f134,f130,f134,f134,f151,f134,f130,f134,f134,f150,f134,f151,f156,f134,f134,f130,f134,f134,f151,f134,f130,f134,f156,f134,f134,f151,f150,f134,f151,f156,f134,f134,f130,f134,f134,f151,f134,f130,f134,f156,f134,f134,f130,f150,f134,f151,f134,f134,f130,f134,f134,f151,f134,f130,f134,f134])). 15.12/2.31 thf(f156,plain,( 15.12/2.31 (mexists_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))))), 15.12/2.31 inference(definition_unfolding,[],[f139,f147,f130,f147])). 15.12/2.31 thf(f147,plain,( 15.12/2.31 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 15.12/2.31 inference(cnf_transformation,[],[f64])). 15.12/2.31 thf(f64,plain,( 15.12/2.31 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 15.12/2.31 inference(fool_elimination,[],[f63])). 15.12/2.31 thf(f63,plain,( 15.12/2.31 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))), 15.12/2.31 inference(rectify,[],[f2])). 15.12/2.31 thf(f2,axiom,( 15.12/2.31 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))), 15.12/2.31 file('/export/starexec/sandbox2/tmp/tmp.1wmOCxOr4s/Vampire---4.8_13479',mnot)). 15.12/2.31 thf(f139,plain,( 15.12/2.31 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))), 15.12/2.31 inference(cnf_transformation,[],[f103])). 15.12/2.31 thf(f103,plain,( 15.12/2.31 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))), 15.12/2.31 inference(fool_elimination,[],[f102])). 15.12/2.31 thf(f102,plain,( 15.12/2.31 (mexists_ind = (^[X0 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X1 : mu] : (mnot @ (X0 @ X1)))))))), 15.12/2.31 inference(rectify,[],[f15])). 15.12/2.31 thf(f15,axiom,( 15.12/2.31 (mexists_ind = (^[X3 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X0 : mu] : (mnot @ (X3 @ X0)))))))), 15.12/2.31 file('/export/starexec/sandbox2/tmp/tmp.1wmOCxOr4s/Vampire---4.8_13479',mexists_ind)). 15.12/2.31 thf(f130,plain,( 15.12/2.31 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))), 15.12/2.31 inference(cnf_transformation,[],[f83])). 15.12/2.31 thf(f83,plain,( 15.12/2.31 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))), 15.12/2.31 inference(fool_elimination,[],[f82])). 15.12/2.31 thf(f82,plain,( 15.12/2.31 ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : ((exists_in_world @ X2 @ X1) => (X0 @ X2 @ X1)))) = mforall_ind)), 15.12/2.31 inference(rectify,[],[f14])). 15.12/2.31 thf(f14,axiom,( 15.12/2.31 ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : ((exists_in_world @ X0 @ X2) => (X3 @ X0 @ X2)))) = mforall_ind)), 15.12/2.31 file('/export/starexec/sandbox2/tmp/tmp.1wmOCxOr4s/Vampire---4.8_13479',mforall_ind)). 15.12/2.31 thf(f151,plain,( 15.12/2.31 (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)))))), 15.12/2.31 inference(definition_unfolding,[],[f126,f131,f147])). 15.12/2.31 thf(f131,plain,( 15.12/2.31 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))), 15.12/2.31 inference(cnf_transformation,[],[f66])). 15.12/2.31 thf(f66,plain,( 15.12/2.31 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))), 15.12/2.31 inference(fool_elimination,[],[f65])). 15.12/2.31 thf(f65,plain,( 15.12/2.31 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))), 15.12/2.31 inference(rectify,[],[f3])). 15.12/2.31 thf(f3,axiom,( 15.12/2.31 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))), 15.12/2.31 file('/export/starexec/sandbox2/tmp/tmp.1wmOCxOr4s/Vampire---4.8_13479',mor)). 15.12/2.31 thf(f126,plain,( 15.12/2.31 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 15.12/2.31 inference(cnf_transformation,[],[f76])). 15.12/2.31 thf(f76,plain,( 15.12/2.31 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 15.12/2.31 inference(fool_elimination,[],[f75])). 15.12/2.31 thf(f75,plain,( 15.12/2.31 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)), 15.12/2.31 inference(rectify,[],[f9])). 15.12/2.31 thf(f9,axiom,( 15.12/2.31 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)), 15.12/2.31 file('/export/starexec/sandbox2/tmp/tmp.1wmOCxOr4s/Vampire---4.8_13479',mimplies)). 15.12/2.31 thf(f134,plain,( 15.12/2.31 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))), 15.12/2.31 inference(cnf_transformation,[],[f45])). 15.12/2.31 thf(f45,plain,( 15.12/2.31 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))), 15.12/2.31 inference(fool_elimination,[],[f44])). 15.12/2.31 thf(f44,plain,( 15.12/2.31 ((^[X0 : $i > $o, X1 : $i] : (! [X2] : (~(rel_s4 @ X1 @ X2) | (X0 @ X2)))) = mbox_s4)), 15.12/2.31 inference(rectify,[],[f32])). 15.12/2.31 thf(f32,axiom,( 15.12/2.31 ((^[X3 : $i > $o, X2 : $i] : (! [X6] : (~(rel_s4 @ X2 @ X6) | (X3 @ X6)))) = mbox_s4)), 15.12/2.31 file('/export/starexec/sandbox2/tmp/tmp.1wmOCxOr4s/Vampire---4.8_13479',mbox_s4)). 15.12/2.31 thf(f150,plain,( 15.12/2.31 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))), 15.12/2.31 inference(definition_unfolding,[],[f143,f147,f131,f147,f147])). 15.12/2.31 thf(f143,plain,( 15.12/2.31 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))), 15.12/2.31 inference(cnf_transformation,[],[f59])). 15.12/2.31 thf(f59,plain,( 15.12/2.31 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))), 15.12/2.31 inference(fool_elimination,[],[f58])). 15.12/2.31 thf(f58,plain,( 15.12/2.31 (mand = (^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))))), 15.12/2.31 inference(rectify,[],[f8])). 15.12/2.31 thf(f8,axiom,( 15.12/2.31 (mand = (^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))))), 15.12/2.31 file('/export/starexec/sandbox2/tmp/tmp.1wmOCxOr4s/Vampire---4.8_13479',mand)). 15.12/2.31 thf(f141,plain,( 15.12/2.31 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 15.12/2.31 inference(cnf_transformation,[],[f78])). 15.12/2.31 thf(f78,plain,( 15.12/2.31 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 15.12/2.31 inference(fool_elimination,[],[f77])). 15.12/2.31 thf(f77,plain,( 15.12/2.31 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))), 15.12/2.31 inference(rectify,[],[f27])). 15.12/2.31 thf(f27,axiom,( 15.12/2.31 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))), 15.12/2.31 file('/export/starexec/sandbox2/tmp/tmp.1wmOCxOr4s/Vampire---4.8_13479',mvalid)). 15.12/2.31 thf(f120,plain,( 15.12/2.31 ((~ (mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ Y0)) @ (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (big_p @ Y1))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (big_p @ Y1))))) @ (mbox_s4 @ (big_p @ Y0)))))))) @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0)))) @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))) @ (mexists_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))))))) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0)))) @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))) @ (mexists_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))))) @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ Y0)) @ (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (big_p @ Y1))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (big_p @ Y1))))) @ (mbox_s4 @ (big_p @ Y0))))))))))))) = $true)), 15.12/2.31 inference(cnf_transformation,[],[f97])). 15.12/2.31 thf(f97,plain,( 15.12/2.31 ((~ (mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ Y0)) @ (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (big_p @ Y1))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (big_p @ Y1))))) @ (mbox_s4 @ (big_p @ Y0)))))))) @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0)))) @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))) @ (mexists_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))))))) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0)))) @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))) @ (mexists_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))))) @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ Y0)) @ (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (big_p @ Y1))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (big_p @ Y1))))) @ (mbox_s4 @ (big_p @ Y0))))))))))))) = $true)), 15.12/2.31 inference(fool_elimination,[],[f96])). 15.12/2.31 thf(f96,plain,( 15.12/2.31 ~(mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ X0)) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (big_p @ X1))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X2 : mu] : (mbox_s4 @ (big_p @ X2))))) @ (mbox_s4 @ (big_p @ X0)))))))) @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X3 : mu] : (mbox_s4 @ (big_p @ X3)))) @ (mbox_s4 @ (mforall_ind @ (^[X4 : mu] : (mbox_s4 @ (big_p @ X4))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X5 : mu] : (mbox_s4 @ (big_p @ X5))))) @ (mexists_ind @ (^[X6 : mu] : (mbox_s4 @ (big_p @ X6))))))))) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X7 : mu] : (mbox_s4 @ (big_p @ X7)))) @ (mbox_s4 @ (mforall_ind @ (^[X8 : mu] : (mbox_s4 @ (big_p @ X8))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X9 : mu] : (mbox_s4 @ (big_p @ X9))))) @ (mexists_ind @ (^[X10 : mu] : (mbox_s4 @ (big_p @ X10))))))) @ (mbox_s4 @ (mforall_ind @ (^[X11 : mu] : (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ X11)) @ (mbox_s4 @ (mforall_ind @ (^[X12 : mu] : (mbox_s4 @ (big_p @ X12))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X13 : mu] : (mbox_s4 @ (big_p @ X13))))) @ (mbox_s4 @ (big_p @ X11))))))))))))), 15.12/2.31 inference(rectify,[],[f38])). 15.12/2.31 thf(f38,negated_conjecture,( 15.12/2.31 ~(mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ X0)) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (big_p @ X1))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (big_p @ X1))))) @ (mbox_s4 @ (big_p @ X0)))))))) @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X0 : mu] : (mbox_s4 @ (big_p @ X0)))) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (big_p @ X1))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (big_p @ X1))))) @ (mexists_ind @ (^[X0 : mu] : (mbox_s4 @ (big_p @ X0))))))))) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X0 : mu] : (mbox_s4 @ (big_p @ X0)))) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (big_p @ X1))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (big_p @ X1))))) @ (mexists_ind @ (^[X0 : mu] : (mbox_s4 @ (big_p @ X0))))))) @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ X0)) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (big_p @ X1))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (big_p @ X1))))) @ (mbox_s4 @ (big_p @ X0))))))))))))), 15.12/2.31 inference(negated_conjecture,[],[f37])). 15.12/2.31 thf(f37,conjecture,( 15.12/2.31 (mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ X0)) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (big_p @ X1))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (big_p @ X1))))) @ (mbox_s4 @ (big_p @ X0)))))))) @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X0 : mu] : (mbox_s4 @ (big_p @ X0)))) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (big_p @ X1))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (big_p @ X1))))) @ (mexists_ind @ (^[X0 : mu] : (mbox_s4 @ (big_p @ X0))))))))) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X0 : mu] : (mbox_s4 @ (big_p @ X0)))) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (big_p @ X1))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (big_p @ X1))))) @ (mexists_ind @ (^[X0 : mu] : (mbox_s4 @ (big_p @ X0))))))) @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ X0)) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (big_p @ X1))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (big_p @ X1))))) @ (mbox_s4 @ (big_p @ X0))))))))))))), 15.12/2.31 file('/export/starexec/sandbox2/tmp/tmp.1wmOCxOr4s/Vampire---4.8_13479',x2128)). 15.12/2.31 % SZS output end Proof for Vampire---4 15.12/2.31 % (13984)------------------------------ 15.12/2.31 % (13984)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 15.12/2.31 % (13984)Termination reason: Refutation 15.12/2.31 15.12/2.31 % (13984)Memory used [KB]: 12281 15.12/2.31 % (13984)Time elapsed: 0.706 s 15.12/2.31 % (13984)Instructions burned: 2174 (million) 15.12/2.31 % (13984)------------------------------ 15.12/2.31 % (13984)------------------------------ 15.12/2.31 % (13664)Success in time 1.939 s 15.12/2.31 % Vampire---4.8 exiting 15.12/2.31 EOF