0.03/0.13 % Problem : Vampire---4.8_22631 : TPTP v0.0.0. Released v0.0.0. 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.15/0.36 % Computer : n007.cluster.edu 0.15/0.36 % Model : x86_64 x86_64 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.36 % Memory : 8042.1875MB 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.36 % CPULimit : 1440 0.15/0.36 % WCLimit : 180 0.15/0.36 % DateTime : Mon Jul 3 12:50:58 EDT 2023 0.15/0.36 % CPUTime : 0.15/0.36 This is a THF_ problem 0.15/0.36 Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.dc6RUZp9W8/Vampire---4.8_22631 -m 12000 -t 180 0.15/0.39 % (22739)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.15/0.39 % (22740)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.15/0.39 % (22741)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) 0.15/0.39 % (22742)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) 0.15/0.39 % (22743)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.15/0.39 % (22745)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) 0.15/0.39 % (22744)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) 0.15/0.39 % (22745)Instruction limit reached! 0.15/0.39 % (22745)------------------------------ 0.15/0.39 % (22745)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.39 % (22745)Termination reason: Unknown 0.15/0.39 % (22745)Termination phase: shuffling 0.15/0.39 0.15/0.39 % (22745)Memory used [KB]: 1151 0.15/0.39 % (22745)Time elapsed: 0.005 s 0.15/0.39 % (22745)Instructions burned: 5 (million) 0.15/0.39 % (22745)------------------------------ 0.15/0.39 % (22745)------------------------------ 0.15/0.40 % (22743)Instruction limit reached! 0.15/0.40 % (22743)------------------------------ 0.15/0.40 % (22743)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.40 % (22743)Termination reason: Unknown 0.15/0.40 % (22743)Termination phase: Saturation 0.15/0.40 0.15/0.40 % (22743)Memory used [KB]: 5628 0.15/0.40 % (22743)Time elapsed: 0.011 s 0.15/0.40 % (22743)Instructions burned: 18 (million) 0.15/0.40 % (22743)------------------------------ 0.15/0.40 % (22743)------------------------------ 0.15/0.40 % (22746)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) 0.15/0.40 % (22741)Instruction limit reached! 0.15/0.40 % (22741)------------------------------ 0.15/0.40 % (22741)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.40 % (22741)Termination reason: Unknown 0.15/0.40 % (22741)Termination phase: Saturation 0.15/0.40 0.15/0.40 % (22741)Memory used [KB]: 5756 0.15/0.40 % (22741)Time elapsed: 0.019 s 0.15/0.40 % (22741)Instructions burned: 34 (million) 0.15/0.40 % (22741)------------------------------ 0.15/0.40 % (22741)------------------------------ 0.15/0.40 % (22747)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) 0.15/0.41 % (22740)Instruction limit reached! 0.15/0.41 % (22740)------------------------------ 0.15/0.41 % (22740)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.41 % (22740)Termination reason: Unknown 0.15/0.41 % (22740)Termination phase: Saturation 0.15/0.41 0.15/0.41 % (22740)Memory used [KB]: 5756 0.15/0.41 % (22740)Time elapsed: 0.022 s 0.15/0.41 % (22740)Instructions burned: 37 (million) 0.15/0.41 % (22740)------------------------------ 0.15/0.41 % (22740)------------------------------ 0.15/0.41 % (22746)Refutation not found, incomplete strategy 0.15/0.41 % (22746)------------------------------ 0.15/0.41 % (22746)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.41 % (22746)Termination reason: Refutation not found, incomplete strategy 0.15/0.41 0.15/0.41 0.15/0.41 % (22746)Memory used [KB]: 5628 0.15/0.41 % (22746)Time elapsed: 0.012 s 0.15/0.41 % (22746)Instructions burned: 12 (million) 0.15/0.41 % (22746)------------------------------ 0.15/0.41 % (22746)------------------------------ 0.15/0.41 % (22748)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.15/0.41 % (22748)Instruction limit reached! 0.15/0.41 % (22748)------------------------------ 0.15/0.41 % (22748)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.41 % (22748)Termination reason: Unknown 0.15/0.41 % (22748)Termination phase: shuffling 0.15/0.41 0.15/0.41 % (22748)Memory used [KB]: 1151 0.15/0.41 % (22748)Time elapsed: 0.006 s 0.15/0.41 % (22748)Instructions burned: 8 (million) 0.15/0.41 % (22748)------------------------------ 0.15/0.41 % (22748)------------------------------ 0.15/0.42 % (22747)Instruction limit reached! 0.15/0.42 % (22747)------------------------------ 0.15/0.42 % (22747)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.42 % (22747)Termination reason: Unknown 0.15/0.42 % (22747)Termination phase: Saturation 0.15/0.42 0.15/0.42 % (22747)Memory used [KB]: 5756 0.15/0.42 % (22747)Time elapsed: 0.013 s 0.15/0.42 % (22747)Instructions burned: 22 (million) 0.15/0.42 % (22747)------------------------------ 0.15/0.42 % (22747)------------------------------ 0.15/0.42 % (22749)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) 0.15/0.42 % (22750)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) 0.15/0.43 % (22751)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) 0.15/0.43 % (22752)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) 0.15/0.43 % (22744)Instruction limit reached! 0.15/0.43 % (22744)------------------------------ 0.15/0.43 % (22744)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.43 % (22753)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) 0.15/0.43 % (22744)Termination reason: Unknown 0.15/0.43 % (22744)Termination phase: Saturation 0.15/0.43 0.15/0.43 % (22744)Memory used [KB]: 6012 0.15/0.43 % (22744)Time elapsed: 0.045 s 0.15/0.43 % (22744)Instructions burned: 74 (million) 0.15/0.43 % (22744)------------------------------ 0.15/0.43 % (22744)------------------------------ 0.22/0.43 % (22751)Instruction limit reached! 0.22/0.43 % (22751)------------------------------ 0.22/0.43 % (22751)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.43 % (22751)Termination reason: Unknown 0.22/0.43 % (22751)Termination phase: Property scanning 0.22/0.43 0.22/0.43 % (22751)Memory used [KB]: 1151 0.22/0.43 % (22751)Time elapsed: 0.007 s 0.22/0.43 % (22751)Instructions burned: 9 (million) 0.22/0.43 % (22751)------------------------------ 0.22/0.43 % (22751)------------------------------ 0.22/0.44 % (22739)Instruction limit reached! 0.22/0.44 % (22739)------------------------------ 0.22/0.44 % (22739)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.44 % (22739)Termination reason: Unknown 0.22/0.44 % (22739)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (22739)Memory used [KB]: 6140 0.22/0.44 % (22739)Time elapsed: 0.057 s 0.22/0.44 % (22739)Instructions burned: 96 (million) 0.22/0.44 % (22739)------------------------------ 0.22/0.44 % (22739)------------------------------ 0.22/0.45 % (22754)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.22/0.45 % (22755)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.22/0.45 % (22755)Instruction limit reached! 0.22/0.45 % (22755)------------------------------ 0.22/0.45 % (22755)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.45 % (22755)Termination reason: Unknown 0.22/0.45 % (22755)Termination phase: Property scanning 0.22/0.45 0.22/0.45 % (22755)Memory used [KB]: 1151 0.22/0.45 % (22755)Time elapsed: 0.009 s 0.22/0.45 % (22755)Instructions burned: 14 (million) 0.22/0.45 % (22755)------------------------------ 0.22/0.45 % (22755)------------------------------ 0.22/0.46 % (22756)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) 0.22/0.46 % (22756)Instruction limit reached! 0.22/0.46 % (22756)------------------------------ 0.22/0.46 % (22756)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.46 % (22756)Termination reason: Unknown 0.22/0.46 % (22756)Termination phase: shuffling 0.22/0.46 0.22/0.46 % (22756)Memory used [KB]: 1023 0.22/0.46 % (22756)Time elapsed: 0.004 s 0.22/0.46 % (22756)Instructions burned: 3 (million) 0.22/0.46 % (22756)------------------------------ 0.22/0.46 % (22756)------------------------------ 0.22/0.46 % (22750)Instruction limit reached! 0.22/0.46 % (22750)------------------------------ 0.22/0.46 % (22750)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.46 % (22750)Termination reason: Unknown 0.22/0.46 % (22750)Termination phase: Saturation 0.22/0.46 0.22/0.46 % (22750)Memory used [KB]: 6012 0.22/0.46 % (22750)Time elapsed: 0.045 s 0.22/0.46 % (22750)Instructions burned: 72 (million) 0.22/0.46 % (22750)------------------------------ 0.22/0.46 % (22750)------------------------------ 0.22/0.47 % (22757)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) 0.22/0.47 % (22758)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) 0.22/0.48 % (22754)Instruction limit reached! 0.22/0.48 % (22754)------------------------------ 0.22/0.48 % (22754)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.48 % (22754)Termination reason: Unknown 0.22/0.48 % (22754)Termination phase: Saturation 0.22/0.48 0.22/0.48 % (22754)Memory used [KB]: 6012 0.22/0.48 % (22758)Instruction limit reached! 0.22/0.48 % (22758)------------------------------ 0.22/0.48 % (22758)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.48 % (22758)Termination reason: Unknown 0.22/0.48 % (22758)Termination phase: Property scanning 0.22/0.48 0.22/0.48 % (22758)Memory used [KB]: 1151 0.22/0.48 % (22758)Time elapsed: 0.008 s 0.22/0.48 % (22758)Instructions burned: 12 (million) 0.22/0.48 % (22758)------------------------------ 0.22/0.48 % (22758)------------------------------ 0.22/0.48 % (22754)Time elapsed: 0.035 s 0.22/0.48 % (22754)Instructions burned: 61 (million) 0.22/0.48 % (22754)------------------------------ 0.22/0.48 % (22754)------------------------------ 0.22/0.48 % (22759)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) 0.22/0.49 % (22759)Refutation not found, incomplete strategy 0.22/0.49 % (22759)------------------------------ 0.22/0.49 % (22759)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.49 % (22759)Termination reason: Refutation not found, incomplete strategy 0.22/0.49 0.22/0.49 0.22/0.49 % (22759)Memory used [KB]: 5756 0.22/0.49 % (22759)Time elapsed: 0.013 s 0.22/0.49 % (22759)Instructions burned: 22 (million) 0.22/0.49 % (22759)------------------------------ 0.22/0.49 % (22759)------------------------------ 0.22/0.49 % (22761)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1798ds/56Mi) 0.22/0.49 % (22760)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (1798ds/26Mi) 0.22/0.50 % (22762)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) 0.22/0.50 % (22753)Instruction limit reached! 0.22/0.50 % (22753)------------------------------ 0.22/0.50 % (22753)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.50 % (22753)Termination reason: Unknown 0.22/0.50 % (22753)Termination phase: Saturation 0.22/0.50 0.22/0.50 % (22753)Memory used [KB]: 6268 0.22/0.50 % (22753)Time elapsed: 0.074 s 0.22/0.50 % (22753)Instructions burned: 129 (million) 0.22/0.50 % (22753)------------------------------ 0.22/0.50 % (22753)------------------------------ 0.22/0.50 % (22760)Instruction limit reached! 0.22/0.50 % (22760)------------------------------ 0.22/0.50 % (22760)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.50 % (22760)Termination reason: Unknown 0.22/0.50 % (22760)Termination phase: Saturation 0.22/0.50 0.22/0.50 % (22760)Memory used [KB]: 5756 0.22/0.50 % (22760)Time elapsed: 0.013 s 0.22/0.50 % (22760)Instructions burned: 28 (million) 0.22/0.50 % (22760)------------------------------ 0.22/0.50 % (22760)------------------------------ 0.22/0.51 % (22762)Refutation not found, incomplete strategy 0.22/0.51 % (22762)------------------------------ 0.22/0.51 % (22762)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.51 % (22762)Termination reason: Refutation not found, incomplete strategy 0.22/0.51 0.22/0.51 0.22/0.51 % (22762)Memory used [KB]: 5628 0.22/0.51 % (22762)Time elapsed: 0.005 s 0.22/0.51 % (22762)Instructions burned: 12 (million) 0.22/0.51 % (22762)------------------------------ 0.22/0.51 % (22762)------------------------------ 0.22/0.51 % (22761)Instruction limit reached! 0.22/0.51 % (22761)------------------------------ 0.22/0.51 % (22761)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.51 % (22761)Termination reason: Unknown 0.22/0.51 % (22761)Termination phase: Saturation 0.22/0.51 0.22/0.51 % (22761)Memory used [KB]: 1535 0.22/0.51 % (22761)Time elapsed: 0.020 s 0.22/0.51 % (22761)Instructions burned: 58 (million) 0.22/0.51 % (22761)------------------------------ 0.22/0.51 % (22761)------------------------------ 0.22/0.51 % (22763)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) 0.22/0.51 % (22763)Instruction limit reached! 0.22/0.51 % (22763)------------------------------ 0.22/0.51 % (22763)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.51 % (22763)Termination reason: Unknown 0.22/0.51 % (22763)Termination phase: shuffling 0.22/0.51 0.22/0.51 % (22763)Memory used [KB]: 1023 0.22/0.51 % (22763)Time elapsed: 0.002 s 0.22/0.51 % (22763)Instructions burned: 4 (million) 0.22/0.51 % (22763)------------------------------ 0.22/0.51 % (22763)------------------------------ 0.22/0.51 % (22764)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) 0.22/0.51 % (22765)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) 0.22/0.52 % (22764)Refutation not found, incomplete strategy 0.22/0.52 % (22764)------------------------------ 0.22/0.52 % (22764)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.52 % (22764)Termination reason: Refutation not found, incomplete strategy 0.22/0.52 0.22/0.52 0.22/0.52 % (22764)Memory used [KB]: 5628 0.22/0.52 % (22764)Time elapsed: 0.006 s 0.22/0.52 % (22764)Instructions burned: 14 (million) 0.22/0.52 % (22764)------------------------------ 0.22/0.52 % (22764)------------------------------ 0.22/0.52 % (22766)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) 0.22/0.52 % (22767)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) 0.22/0.53 % (22768)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) 0.22/0.53 % (22765)Instruction limit reached! 0.22/0.53 % (22765)------------------------------ 0.22/0.53 % (22765)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.53 % (22765)Termination reason: Unknown 0.22/0.53 % (22765)Termination phase: Saturation 0.22/0.53 0.22/0.53 % (22765)Memory used [KB]: 1407 0.22/0.53 % (22765)Time elapsed: 0.015 s 0.22/0.53 % (22765)Instructions burned: 44 (million) 0.22/0.53 % (22765)------------------------------ 0.22/0.53 % (22765)------------------------------ 0.22/0.54 % (22769)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) 0.22/0.54 % (22769)Instruction limit reached! 0.22/0.54 % (22769)------------------------------ 0.22/0.54 % (22769)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.54 % (22769)Termination reason: Unknown 0.22/0.54 % (22769)Termination phase: shuffling 0.22/0.54 0.22/0.54 % (22769)Memory used [KB]: 1023 0.22/0.54 % (22769)Time elapsed: 0.002 s 0.22/0.54 % (22769)Instructions burned: 3 (million) 0.22/0.54 % (22769)------------------------------ 0.22/0.54 % (22769)------------------------------ 0.22/0.54 % (22757)First to succeed. 0.22/0.54 % (22767)Instruction limit reached! 0.22/0.54 % (22767)------------------------------ 0.22/0.54 % (22767)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.54 % (22767)Termination reason: Unknown 0.22/0.54 % (22767)Termination phase: Saturation 0.22/0.54 0.22/0.54 % (22767)Memory used [KB]: 6012 0.22/0.54 % (22767)Time elapsed: 0.021 s 0.22/0.54 % (22767)Instructions burned: 62 (million) 0.22/0.54 % (22767)------------------------------ 0.22/0.54 % (22767)------------------------------ 0.22/0.55 % (22770)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) 0.22/0.55 % (22771)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) 0.22/0.55 % (22771)Instruction limit reached! 0.22/0.55 % (22771)------------------------------ 0.22/0.55 % (22771)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.55 % (22771)Termination reason: Unknown 0.22/0.55 % (22771)Termination phase: shuffling 0.22/0.55 0.22/0.55 % (22771)Memory used [KB]: 1023 0.22/0.55 % (22771)Time elapsed: 0.002 s 0.22/0.55 % (22771)Instructions burned: 3 (million) 0.22/0.55 % (22771)------------------------------ 0.22/0.55 % (22771)------------------------------ 1.58/0.55 % (22757)Refutation found. Thanks to Tanya! 1.58/0.55 % SZS status Theorem for Vampire---4 1.58/0.55 % SZS output start Proof for Vampire---4 1.58/0.55 thf(type_def_5, type, mu: $tType). 1.58/0.55 thf(type_def_7, type, reg: $tType). 1.58/0.55 thf(func_def_0, type, mu: $tType). 1.58/0.55 thf(func_def_1, type, meq_ind: mu > mu > $i > $o). 1.58/0.55 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 1.58/0.55 thf(func_def_4, type, mnot: ($i > $o) > $i > $o). 1.58/0.55 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o). 1.58/0.55 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o). 1.58/0.55 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 1.58/0.55 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 1.58/0.55 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 1.58/0.55 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 1.58/0.55 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o). 1.58/0.55 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 1.58/0.55 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o). 1.58/0.55 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 1.58/0.55 thf(func_def_15, type, mtrue: $i > $o). 1.58/0.55 thf(func_def_16, type, mfalse: $i > $o). 1.58/0.55 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 1.58/0.55 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 1.58/0.55 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o). 1.58/0.55 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o). 1.58/0.55 thf(func_def_21, type, mserial: ($i > $i > $o) > $o). 1.58/0.55 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o). 1.58/0.55 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o). 1.58/0.55 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o). 1.58/0.55 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o). 1.58/0.55 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o). 1.58/0.55 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o). 1.58/0.55 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o). 1.58/0.55 thf(func_def_29, type, mvalid: ($i > $o) > $o). 1.58/0.55 thf(func_def_30, type, minvalid: ($i > $o) > $o). 1.58/0.55 thf(func_def_31, type, msatisfiable: ($i > $o) > $o). 1.58/0.55 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o). 1.58/0.55 thf(func_def_33, type, reg: $tType). 1.58/0.55 thf(func_def_34, type, c: reg > reg > $o). 1.58/0.55 thf(func_def_35, type, dc: reg > reg > $o). 1.58/0.55 thf(func_def_36, type, p: reg > reg > $o). 1.58/0.55 thf(func_def_37, type, eq: reg > reg > $o). 1.58/0.55 thf(func_def_38, type, o: reg > reg > $o). 1.58/0.55 thf(func_def_39, type, po: reg > reg > $o). 1.58/0.55 thf(func_def_40, type, ec: reg > reg > $o). 1.58/0.55 thf(func_def_41, type, pp: reg > reg > $o). 1.58/0.55 thf(func_def_42, type, tpp: reg > reg > $o). 1.58/0.55 thf(func_def_43, type, ntpp: reg > reg > $o). 1.58/0.55 thf(func_def_44, type, catalunya: reg). 1.58/0.55 thf(func_def_45, type, france: reg). 1.58/0.55 thf(func_def_46, type, spain: reg). 1.58/0.55 thf(func_def_47, type, paris: reg). 1.58/0.55 thf(func_def_48, type, a: $i > $i > $o). 1.58/0.55 thf(func_def_49, type, fool: $i > $i > $o). 1.58/0.55 thf(func_def_66, type, ph1: !>[X0: $tType]:(X0)). 1.58/0.55 thf(func_def_70, type, sK5: reg). 1.58/0.55 thf(func_def_71, type, sK6: reg). 1.58/0.55 thf(func_def_72, type, sK7: reg). 1.58/0.55 thf(func_def_73, type, sK8: reg). 1.58/0.55 thf(func_def_74, type, sK9: $i > $i > $i). 1.58/0.55 thf(func_def_75, type, sK10: reg). 1.58/0.55 thf(f1083,plain,( 1.58/0.55 $false), 1.58/0.55 inference(avatar_sat_refutation,[],[f375,f1082])). 1.58/0.55 thf(f1082,plain,( 1.58/0.55 ~spl0_4), 1.58/0.55 inference(avatar_contradiction_clause,[],[f1081])). 1.58/0.55 thf(f1081,plain,( 1.58/0.55 $false | ~spl0_4), 1.58/0.55 inference(trivial_inequality_removal,[],[f1077])). 1.58/0.55 thf(f1077,plain,( 1.58/0.55 ($true = $false) | ~spl0_4), 1.58/0.55 inference(backward_demodulation,[],[f843,f1076])). 1.58/0.55 thf(f1076,plain,( 1.58/0.55 ( ! [X1 : reg] : (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ france)))) = $false)) ) | ~spl0_4), 1.58/0.55 inference(beta_eta_normalization,[],[f1075])). 1.58/0.55 thf(f1075,plain,( 1.58/0.55 ( ! [X1 : reg] : (($false = ((^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))) @ X1))) ) | ~spl0_4), 1.58/0.55 inference(pi_clausification,[],[f695])). 1.58/0.55 thf(f695,plain,( 1.58/0.55 ($false = (?? @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) | ~spl0_4), 1.58/0.55 inference(boolean_simplification,[],[f694])). 1.58/0.55 thf(f694,plain,( 1.58/0.55 (((?? @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))) & $true) = $false) | ~spl0_4), 1.58/0.56 inference(forward_demodulation,[],[f464,f448])). 1.58/0.56 thf(f448,plain,( 1.58/0.56 ($true = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) | ~spl0_4), 1.58/0.56 inference(binary_proxy_clausification,[],[f387])). 1.58/0.56 thf(f387,plain,( 1.58/0.56 (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) = $true) | ~spl0_4), 1.58/0.56 inference(binary_proxy_clausification,[],[f372])). 1.58/0.56 thf(f372,plain,( 1.58/0.56 ($true = ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))))) | ~spl0_4), 1.58/0.56 inference(avatar_component_clause,[],[f371])). 1.58/0.56 thf(f371,plain,( 1.58/0.56 spl0_4 <=> ($true = ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))))))), 1.58/0.56 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 1.58/0.56 thf(f464,plain,( 1.58/0.56 (((?? @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) = $false) | ~spl0_4), 1.58/0.56 inference(boolean_simplification,[],[f463])). 1.58/0.56 thf(f463,plain,( 1.58/0.56 ($false = ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))) | ~spl0_4), 1.58/0.56 inference(boolean_simplification,[],[f461])). 1.58/0.56 thf(f461,plain,( 1.58/0.56 ($false = ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) & (~ ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))) & $true)))) | ~spl0_4), 1.58/0.56 inference(superposition,[],[f317,f450])). 1.58/0.56 thf(f450,plain,( 1.58/0.56 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) | ~spl0_4), 1.58/0.56 inference(boolean_simplification,[],[f449])). 1.58/0.56 thf(f449,plain,( 1.58/0.56 ($true = ($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))))) | ~spl0_4), 1.58/0.56 inference(backward_demodulation,[],[f387,f448])). 1.58/0.56 thf(f317,plain,( 1.58/0.56 ( ! [X2 : reg,X1 : reg] : ((((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X2))))))) & (~ ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X2) => (c @ Y0 @ X1)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ X2))))))) = $false)) )), 1.58/0.56 inference(beta_eta_normalization,[],[f316])). 1.58/0.56 thf(f316,plain,( 1.58/0.56 ( ! [X2 : reg,X1 : reg] : (($false = ((^[Y0 : reg]: ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))) & (~ ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ X1) => (c @ Y1 @ Y0)))))))) @ X2))) )), 1.58/0.56 inference(pi_clausification,[],[f314])). 1.58/0.56 thf(f314,plain,( 1.58/0.56 ( ! [X1 : reg] : (((?? @ reg @ (^[Y0 : reg]: ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))) & (~ ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ X1) => (c @ Y1 @ Y0))))))))) = $false)) )), 1.58/0.56 inference(beta_eta_normalization,[],[f313])). 1.58/0.56 thf(f313,plain,( 1.58/0.56 ( ! [X1 : reg] : ((((^[Y0 : reg]: (?? @ reg @ (^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))) & (~ ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1)))))))))) @ X1) = $false)) )), 1.58/0.56 inference(pi_clausification,[],[f298])). 1.58/0.56 thf(f298,plain,( 1.58/0.56 ($false = (?? @ reg @ (^[Y0 : reg]: (?? @ reg @ (^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))) & (~ ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))))))), 1.58/0.56 inference(boolean_simplification,[],[f297])). 1.58/0.56 thf(f297,plain,( 1.58/0.56 (($false | (?? @ reg @ (^[Y0 : reg]: (?? @ reg @ (^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))) & (~ ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1)))))))))))) = $false)), 1.58/0.56 inference(backward_demodulation,[],[f292,f296])). 1.58/0.56 thf(f296,plain,( 1.58/0.56 ($false = (~ (a @ sK2 @ sK3)))), 1.58/0.56 inference(binary_proxy_clausification,[],[f292])). 1.58/0.56 thf(f292,plain,( 1.58/0.56 ($false = ((~ (a @ sK2 @ sK3)) | (?? @ reg @ (^[Y0 : reg]: (?? @ reg @ (^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))) & (~ ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1)))))))))))))), 1.58/0.56 inference(beta_eta_normalization,[],[f291])). 1.58/0.56 thf(f291,plain,( 1.58/0.56 ($false = ((^[Y0 : $i]: ((~ (a @ sK2 @ Y0)) | (?? @ reg @ (^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))) & (~ ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y1) => (c @ Y3 @ Y2))))))))))))) @ sK3))), 1.58/0.56 inference(sigma_clausification,[],[f287])). 1.58/0.56 thf(f287,plain,( 1.58/0.56 ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ sK2 @ Y0)) | (?? @ reg @ (^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))) & (~ ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y1) => (c @ Y3 @ Y2)))))))))))))) = $false)), 1.58/0.56 inference(beta_eta_normalization,[],[f286])). 1.58/0.56 thf(f286,plain,( 1.58/0.56 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (?? @ reg @ (^[Y2 : reg]: (?? @ reg @ (^[Y3 : reg]: ((?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ france)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))) & (~ ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))))))))))) @ sK2) = $false)), 1.58/0.56 inference(sigma_clausification,[],[f279])). 1.58/0.56 thf(f279,plain,( 1.58/0.56 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (?? @ reg @ (^[Y2 : reg]: (?? @ reg @ (^[Y3 : reg]: ((?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ france)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))) & (~ ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3)))))))))))))))) = $false)), 1.58/0.56 inference(not_proxy_clausification,[],[f222])). 1.58/0.56 thf(f222,plain,( 1.58/0.56 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (?? @ reg @ (^[Y2 : reg]: (?? @ reg @ (^[Y3 : reg]: ((?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ france)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))) & (~ ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))))))))))))) = $true)), 1.58/0.56 inference(boolean_simplification,[],[f221])). 1.58/0.56 thf(f221,plain,( 1.58/0.56 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (?? @ reg @ (^[Y2 : reg]: (?? @ reg @ (^[Y3 : reg]: (((?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ france)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))) & (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ france)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))))))) & (~ ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))))))))))))) = $true)), 1.58/0.56 inference(beta_eta_normalization,[],[f215])). 1.58/0.56 thf(f215,plain,( 1.58/0.56 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: (?? @ reg @ (^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((((^[Y3 : reg]: ((^[Y4 : reg]: (?? @ reg @ (^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y3))))))) @ Y2 @ france) & ((^[Y3 : reg]: ((^[Y4 : reg]: (?? @ reg @ (^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y3))))))) @ Y2 @ france)) & (~ ((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))) @ Y2 @ Y1))))))))))) = $true)), 1.58/0.56 inference(definition_unfolding,[],[f166,f160,f161,f206,f206,f205])). 1.58/0.56 thf(f205,plain,( 1.58/0.56 (eq = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1) & ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0))))))), 1.58/0.56 inference(definition_unfolding,[],[f148,f172,f172])). 1.58/0.56 thf(f172,plain,( 1.58/0.56 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))), 1.58/0.56 inference(cnf_transformation,[],[f86])). 1.58/0.56 thf(f86,plain,( 1.58/0.56 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))), 1.58/0.56 inference(fool_elimination,[],[f85])). 1.58/0.56 thf(f85,plain,( 1.58/0.56 ((^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))) = p)), 1.58/0.56 inference(rectify,[],[f33])). 1.58/0.56 thf(f33,axiom,( 1.58/0.56 ((^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))) = p)), 1.58/0.56 file('/export/starexec/sandbox2/tmp/tmp.dc6RUZp9W8/Vampire---4.8_22631',p)). 1.58/0.56 thf(f148,plain,( 1.58/0.56 (eq = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (p @ Y1 @ Y0))))))), 1.58/0.56 inference(cnf_transformation,[],[f124])). 1.58/0.56 thf(f124,plain,( 1.58/0.56 (eq = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (p @ Y1 @ Y0))))))), 1.58/0.56 inference(fool_elimination,[],[f123])). 1.58/0.56 thf(f123,plain,( 1.58/0.56 ((^[X0 : reg, X1 : reg] : ((p @ X1 @ X0) & (p @ X0 @ X1))) = eq)), 1.58/0.56 inference(rectify,[],[f34])). 1.58/0.56 thf(f34,axiom,( 1.58/0.56 ((^[X0 : reg, X1 : reg] : ((p @ X1 @ X0) & (p @ X0 @ X1))) = eq)), 1.58/0.56 file('/export/starexec/sandbox2/tmp/tmp.dc6RUZp9W8/Vampire---4.8_22631',eq)). 1.58/0.56 thf(f206,plain,( 1.58/0.56 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y1) & ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y0))))))))), 1.58/0.56 inference(definition_unfolding,[],[f193,f172,f172])). 1.58/0.56 thf(f193,plain,( 1.58/0.56 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y1) & (p @ Y2 @ Y0))))))))), 1.58/0.56 inference(cnf_transformation,[],[f110])). 1.58/0.56 thf(f110,plain,( 1.58/0.56 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y1) & (p @ Y2 @ Y0))))))))), 1.58/0.56 inference(fool_elimination,[],[f109])). 1.58/0.56 thf(f109,plain,( 1.58/0.56 ((^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X0) & (p @ X2 @ X1)))) = o)), 1.58/0.56 inference(rectify,[],[f35])). 1.58/0.56 thf(f35,axiom,( 1.58/0.56 ((^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X0) & (p @ X11 @ X1)))) = o)), 1.58/0.56 file('/export/starexec/sandbox2/tmp/tmp.dc6RUZp9W8/Vampire---4.8_22631',o)). 1.58/0.56 thf(f161,plain,( 1.58/0.56 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))), 1.58/0.56 inference(cnf_transformation,[],[f94])). 1.58/0.56 thf(f94,plain,( 1.58/0.56 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))), 1.58/0.56 inference(fool_elimination,[],[f93])). 1.58/0.56 thf(f93,plain,( 1.58/0.56 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))) = mbox)), 1.58/0.56 inference(rectify,[],[f16])). 1.58/0.56 thf(f16,axiom,( 1.58/0.56 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))) = mbox)), 1.58/0.56 file('/export/starexec/sandbox2/tmp/tmp.dc6RUZp9W8/Vampire---4.8_22631',mbox)). 1.58/0.56 thf(f160,plain,( 1.58/0.56 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 1.58/0.56 inference(cnf_transformation,[],[f102])). 1.58/0.56 thf(f102,plain,( 1.58/0.56 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 1.58/0.56 inference(fool_elimination,[],[f101])). 1.58/0.56 thf(f101,plain,( 1.58/0.56 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)), 1.58/0.56 inference(rectify,[],[f28])). 1.58/0.56 thf(f28,axiom,( 1.58/0.56 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)), 1.58/0.56 file('/export/starexec/sandbox2/tmp/tmp.dc6RUZp9W8/Vampire---4.8_22631',mvalid)). 1.58/0.56 thf(f166,plain,( 1.58/0.56 ((~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: (?? @ reg @ (^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: (((o @ Y2 @ france) & (o @ Y2 @ france)) & (~ (eq @ Y2 @ Y1))))))))))) = $true)), 1.58/0.56 inference(cnf_transformation,[],[f140])). 1.58/0.56 thf(f140,plain,( 1.58/0.56 ((~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: (?? @ reg @ (^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: (((o @ Y2 @ france) & (o @ Y2 @ france)) & (~ (eq @ Y2 @ Y1))))))))))) = $true)), 1.58/0.56 inference(fool_elimination,[],[f139])). 1.58/0.56 thf(f139,plain,( 1.58/0.56 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (? [X1 : reg,X2 : reg] : (~(eq @ X1 @ X2) & (o @ X1 @ france) & (o @ X1 @ france))))))), 1.58/0.56 inference(rectify,[],[f47])). 1.58/0.56 thf(f47,negated_conjecture,( 1.58/0.56 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (? [X11 : reg,X1 : reg] : (~(eq @ X11 @ X1) & (o @ X11 @ france) & (o @ X11 @ france))))))), 1.58/0.56 inference(negated_conjecture,[],[f46])). 1.58/0.56 thf(f46,conjecture,( 1.58/0.56 (mvalid @ (mbox @ a @ (^[X0 : $i] : (? [X11 : reg,X1 : reg] : (~(eq @ X11 @ X1) & (o @ X11 @ france) & (o @ X11 @ france))))))), 1.58/0.56 file('/export/starexec/sandbox2/tmp/tmp.dc6RUZp9W8/Vampire---4.8_22631',con)). 1.58/0.56 thf(f843,plain,( 1.58/0.56 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ france)))) = $true) | ~spl0_4), 1.58/0.56 inference(boolean_simplification,[],[f842])). 1.58/0.56 thf(f842,plain,( 1.58/0.56 (($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ france))))) = $true) | ~spl0_4), 1.58/0.56 inference(backward_demodulation,[],[f825,f841])). 1.58/0.56 thf(f841,plain,( 1.58/0.56 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris))))) | ~spl0_4), 1.58/0.56 inference(binary_proxy_clausification,[],[f825])). 1.58/0.56 thf(f825,plain,( 1.58/0.56 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ paris)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ france))))) = $true) | ~spl0_4), 1.58/0.56 inference(beta_eta_normalization,[],[f823])). 1.58/0.56 thf(f823,plain,( 1.58/0.56 (((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))) @ sK7) = $true) | ~spl0_4), 1.58/0.56 inference(sigma_clausification,[],[f800])). 1.58/0.56 thf(f800,plain,( 1.58/0.56 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) = $true) | ~spl0_4), 1.58/0.56 inference(not_proxy_clausification,[],[f698])). 1.58/0.56 thf(f698,plain,( 1.58/0.56 ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) = $false) | ~spl0_4), 1.58/0.56 inference(boolean_simplification,[],[f697])). 1.58/0.56 thf(f697,plain,( 1.58/0.56 ($false = ($true & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))))) | ~spl0_4), 1.58/0.56 inference(boolean_simplification,[],[f696])). 1.58/0.56 thf(f696,plain,( 1.58/0.56 (((~ $false) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))) = $false) | ~spl0_4), 1.58/0.56 inference(backward_demodulation,[],[f693,f695])). 1.58/0.56 thf(f693,plain,( 1.58/0.56 ($false = ((~ (?? @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))))) | ~spl0_4), 1.58/0.56 inference(boolean_simplification,[],[f692])). 1.58/0.56 thf(f692,plain,( 1.58/0.56 ($false = ((~ (?? @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) & ($true & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))))) | ~spl0_4), 1.58/0.56 inference(forward_demodulation,[],[f427,f499])). 1.58/0.56 thf(f499,plain,( 1.58/0.56 ($true = (c @ france @ paris)) | ~spl0_4), 1.58/0.56 inference(boolean_simplification,[],[f493])). 1.58/0.56 thf(f493,plain,( 1.58/0.56 (($true => (c @ france @ paris)) = $true) | ~spl0_4), 1.58/0.56 inference(superposition,[],[f232,f488])). 1.58/0.56 thf(f488,plain,( 1.58/0.56 ((c @ paris @ france) = $true) | ~spl0_4), 1.58/0.56 inference(boolean_simplification,[],[f484])). 1.58/0.56 thf(f484,plain,( 1.58/0.56 (($true => (c @ paris @ france)) = $true) | ~spl0_4), 1.58/0.56 inference(superposition,[],[f466,f228])). 1.58/0.56 thf(f228,plain,( 1.58/0.56 ( ! [X1 : reg] : (((c @ X1 @ X1) = $true)) )), 1.58/0.56 inference(beta_eta_normalization,[],[f227])). 1.58/0.56 thf(f227,plain,( 1.58/0.56 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: (c @ Y0 @ Y0)) @ X1))) )), 1.58/0.56 inference(pi_clausification,[],[f189])). 1.58/0.56 thf(f189,plain,( 1.58/0.56 ($true = (!! @ reg @ (^[Y0 : reg]: (c @ Y0 @ Y0))))), 1.58/0.56 inference(cnf_transformation,[],[f104])). 1.58/0.56 thf(f104,plain,( 1.58/0.56 ($true = (!! @ reg @ (^[Y0 : reg]: (c @ Y0 @ Y0))))), 1.58/0.56 inference(fool_elimination,[],[f103])). 1.58/0.56 thf(f103,plain,( 1.58/0.56 ! [X0 : reg] : (c @ X0 @ X0)), 1.58/0.56 inference(rectify,[],[f41])). 1.58/0.56 thf(f41,axiom,( 1.58/0.56 ! [X0 : reg] : (c @ X0 @ X0)), 1.58/0.56 file('/export/starexec/sandbox2/tmp/tmp.dc6RUZp9W8/Vampire---4.8_22631',c_reflexive)). 1.58/0.56 thf(f466,plain,( 1.58/0.56 ( ! [X1 : reg] : ((((c @ X1 @ paris) => (c @ X1 @ france)) = $true)) ) | ~spl0_4), 1.58/0.56 inference(beta_eta_normalization,[],[f458])). 1.58/0.56 thf(f458,plain,( 1.58/0.56 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X1) = $true)) ) | ~spl0_4), 1.58/0.56 inference(pi_clausification,[],[f450])). 1.58/0.56 thf(f232,plain,( 1.58/0.56 ( ! [X2 : reg,X1 : reg] : (($true = ((c @ X2 @ X1) => (c @ X1 @ X2)))) )), 1.58/0.56 inference(beta_eta_normalization,[],[f231])). 1.58/0.56 thf(f231,plain,( 1.58/0.56 ( ! [X2 : reg,X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ X1 @ Y0))) @ X2) = $true)) )), 1.58/0.56 inference(pi_clausification,[],[f230])). 1.58/0.56 thf(f230,plain,( 1.58/0.56 ( ! [X1 : reg] : (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ X1 @ Y0)))) = $true)) )), 1.58/0.56 inference(beta_eta_normalization,[],[f229])). 1.58/0.56 thf(f229,plain,( 1.58/0.56 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y0 @ Y1))))) @ X1))) )), 1.58/0.56 inference(pi_clausification,[],[f177])). 1.58/0.56 thf(f177,plain,( 1.58/0.56 ($true = (!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y0 @ Y1)))))))), 1.58/0.56 inference(cnf_transformation,[],[f63])). 1.58/0.56 thf(f63,plain,( 1.58/0.56 ($true = (!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y0 @ Y1)))))))), 1.58/0.56 inference(fool_elimination,[],[f62])). 1.58/0.56 thf(f62,plain,( 1.58/0.56 ! [X0 : reg,X1 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))), 1.58/0.56 inference(rectify,[],[f42])). 1.58/0.56 thf(f42,axiom,( 1.58/0.56 ! [X0 : reg,X1 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))), 1.58/0.56 file('/export/starexec/sandbox2/tmp/tmp.dc6RUZp9W8/Vampire---4.8_22631',c_symmetric)). 1.58/0.56 thf(f427,plain,( 1.58/0.56 (((~ (?? @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) & ((c @ france @ paris) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))))) = $false) | ~spl0_4), 1.58/0.56 inference(boolean_simplification,[],[f426])). 1.58/0.56 thf(f426,plain,( 1.58/0.56 (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & ((c @ france @ paris) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))))) = $false) | ~spl0_4), 1.58/0.56 inference(boolean_simplification,[],[f425])). 1.58/0.56 thf(f425,plain,( 1.58/0.56 ($false = (($true & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))) & ((c @ france @ paris) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))))) | ~spl0_4), 1.58/0.56 inference(superposition,[],[f407,f228])). 1.58/0.56 thf(f407,plain,( 1.58/0.56 ( ! [X1 : reg] : (($false = (((c @ X1 @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1))))))))) & ((c @ X1 @ paris) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))))))))))) ) | ~spl0_4), 1.58/0.56 inference(beta_eta_normalization,[],[f406])). 1.58/0.56 thf(f406,plain,( 1.58/0.56 ( ! [X1 : reg] : ((((^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))) @ X1) = $false)) ) | ~spl0_4), 1.58/0.56 inference(pi_clausification,[],[f397])). 1.58/0.56 thf(f397,plain,( 1.58/0.56 ($false = (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) | ~spl0_4), 1.58/0.56 inference(not_proxy_clausification,[],[f390])). 1.58/0.56 thf(f390,plain,( 1.58/0.56 ($true = (~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))))))))) | ~spl0_4), 1.58/0.56 inference(boolean_simplification,[],[f389])). 1.58/0.56 thf(f389,plain,( 1.58/0.56 (((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & $true) = $true) | ~spl0_4), 1.58/0.56 inference(backward_demodulation,[],[f372,f387])). 1.58/0.56 thf(f375,plain,( 1.58/0.56 spl0_4), 1.58/0.56 inference(avatar_split_clause,[],[f364,f371])). 1.58/0.56 thf(f364,plain,( 1.58/0.56 ($true = ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))))))), 1.58/0.56 inference(boolean_simplification,[],[f363])). 1.58/0.56 thf(f363,plain,( 1.58/0.56 (($false | ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))))) = $true)), 1.58/0.56 inference(boolean_simplification,[],[f361])). 1.58/0.56 thf(f361,plain,( 1.58/0.56 ($true = ((~ $true) | ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))))))), 1.58/0.56 inference(superposition,[],[f347,f301])). 1.58/0.56 thf(f301,plain,( 1.58/0.56 ((a @ sK2 @ sK3) = $true)), 1.58/0.56 inference(not_proxy_clausification,[],[f296])). 1.58/0.56 thf(f347,plain,( 1.58/0.56 ( ! [X2 : $i,X1 : $i] : ((((~ (a @ X1 @ X2)) | ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))))) = $true)) )), 1.58/0.56 inference(beta_eta_normalization,[],[f346])). 1.58/0.56 thf(f346,plain,( 1.58/0.56 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))))))) @ X2) = $true)) )), 1.58/0.56 inference(pi_clausification,[],[f341])). 1.58/0.56 thf(f341,plain,( 1.58/0.56 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france))))))))))) )), 1.58/0.56 inference(beta_eta_normalization,[],[f340])). 1.58/0.56 thf(f340,plain,( 1.58/0.56 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))))))))) @ X1) = $true)) )), 1.58/0.56 inference(pi_clausification,[],[f224])). 1.58/0.56 thf(f224,plain,( 1.58/0.56 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france))))))))))))), 1.58/0.56 inference(beta_eta_normalization,[],[f212])). 1.58/0.56 thf(f212,plain,( 1.58/0.56 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((~ (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)))))) @ Y3 @ Y2) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)))))) @ Y3 @ Y1))))) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ paris @ france)))) = $true)), 1.58/0.56 inference(definition_unfolding,[],[f152,f160,f161,f211])). 1.58/0.56 thf(f211,plain,( 1.58/0.56 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)))))) @ Y2 @ Y1) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)))))) @ Y2 @ Y0))))) & ((^[Y2 : reg]: ((^[Y3 : reg]: ((~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)) & ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3))))) @ Y0 @ Y1))))))), 1.58/0.56 inference(definition_unfolding,[],[f190,f208,f208,f209])). 1.58/0.56 thf(f209,plain,( 1.58/0.56 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0)) & ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1))))))), 1.58/0.56 inference(definition_unfolding,[],[f147,f172,f172])). 1.58/0.56 thf(f147,plain,( 1.58/0.56 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (p @ Y1 @ Y0)) & (p @ Y0 @ Y1))))))), 1.58/0.56 inference(cnf_transformation,[],[f142])). 1.58/0.56 thf(f142,plain,( 1.58/0.56 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (p @ Y1 @ Y0)) & (p @ Y0 @ Y1))))))), 1.58/0.56 inference(fool_elimination,[],[f141])). 1.58/0.56 thf(f141,plain,( 1.58/0.56 ((^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & ~(p @ X1 @ X0))) = pp)), 1.58/0.56 inference(rectify,[],[f38])). 1.58/0.56 thf(f38,axiom,( 1.58/0.56 ((^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & ~(p @ X1 @ X0))) = pp)), 1.58/0.56 file('/export/starexec/sandbox2/tmp/tmp.dc6RUZp9W8/Vampire---4.8_22631',pp)). 1.58/0.56 thf(f208,plain,( 1.58/0.56 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2))))))) @ Y0 @ Y1)))))))), 1.58/0.56 inference(definition_unfolding,[],[f186,f206])). 1.58/0.56 thf(f186,plain,( 1.58/0.56 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))), 1.58/0.56 inference(cnf_transformation,[],[f55])). 1.58/0.56 thf(f55,plain,( 1.58/0.56 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))), 1.58/0.56 inference(fool_elimination,[],[f54])). 1.58/0.56 thf(f54,plain,( 1.58/0.56 ((^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))) = ec)), 1.58/0.56 inference(rectify,[],[f37])). 1.58/0.56 thf(f37,axiom,( 1.58/0.56 ((^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))) = ec)), 1.58/0.56 file('/export/starexec/sandbox2/tmp/tmp.dc6RUZp9W8/Vampire---4.8_22631',ec)). 1.58/0.56 thf(f190,plain,( 1.58/0.56 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0))))) & (pp @ Y0 @ Y1))))))), 1.58/0.56 inference(cnf_transformation,[],[f59])). 1.58/0.56 thf(f59,plain,( 1.58/0.56 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0))))) & (pp @ Y0 @ Y1))))))), 1.58/0.56 inference(fool_elimination,[],[f58])). 1.58/0.56 thf(f58,plain,( 1.58/0.56 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ~? [X2 : reg] : ((ec @ X2 @ X0) & (ec @ X2 @ X1)))) = ntpp)), 1.58/0.56 inference(rectify,[],[f40])). 1.58/0.56 thf(f40,axiom,( 1.58/0.56 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ~? [X11 : reg] : ((ec @ X11 @ X0) & (ec @ X11 @ X1)))) = ntpp)), 1.58/0.56 file('/export/starexec/sandbox2/tmp/tmp.dc6RUZp9W8/Vampire---4.8_22631',ntpp)). 1.58/0.56 thf(f152,plain,( 1.58/0.56 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)), 1.58/0.56 inference(cnf_transformation,[],[f138])). 1.58/0.56 thf(f138,plain,( 1.58/0.56 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)), 1.58/0.56 inference(fool_elimination,[],[f137])). 1.58/0.56 thf(f137,plain,( 1.58/0.56 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))), 1.58/0.56 inference(rectify,[],[f50])). 1.58/0.56 thf(f50,axiom,( 1.58/0.56 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))), 1.58/0.56 file('/export/starexec/sandbox2/tmp/tmp.dc6RUZp9W8/Vampire---4.8_22631',ax3)). 1.58/0.56 % SZS output end Proof for Vampire---4 1.58/0.56 % (22757)------------------------------ 1.58/0.56 % (22757)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.58/0.56 % (22757)Termination reason: Refutation 1.58/0.56 1.58/0.56 % (22757)Memory used [KB]: 6396 1.58/0.56 % (22757)Time elapsed: 0.077 s 1.58/0.56 % (22757)Instructions burned: 162 (million) 1.58/0.56 % (22757)------------------------------ 1.58/0.56 % (22757)------------------------------ 1.58/0.56 % (22738)Success in time 0.171 s 1.58/0.56 % Vampire---4.8 exiting 1.58/0.56 EOF