0.00/0.10 % Problem : Vampire---4.8_14671 : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.10/0.31 % Computer : n003.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.31 % CPULimit : 1440 0.15/0.31 % WCLimit : 180 0.15/0.31 % DateTime : Mon Jul 3 12:57:16 EDT 2023 0.15/0.31 % CPUTime : 0.15/0.31 This is a THF_ problem 0.15/0.32 Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671 -m 12000 -t 180 0.16/0.33 % (14779)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.16/0.33 % (14784)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) 0.16/0.33 % (14783)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.16/0.33 % (14785)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) 0.16/0.33 % (14780)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.16/0.33 % (14782)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) 0.16/0.33 % (14781)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) 0.16/0.33 % (14786)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) 0.16/0.34 % (14785)Instruction limit reached! 0.16/0.34 % (14785)------------------------------ 0.16/0.34 % (14785)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.34 % (14785)Termination reason: Unknown 0.16/0.34 % (14785)Termination phase: shuffling 0.16/0.34 0.16/0.34 % (14785)Memory used [KB]: 1023 0.16/0.34 % (14785)Time elapsed: 0.003 s 0.16/0.34 % (14785)Instructions burned: 4 (million) 0.16/0.34 % (14785)------------------------------ 0.16/0.34 % (14785)------------------------------ 0.16/0.34 % (14786)Refutation not found, incomplete strategy 0.16/0.34 % (14786)------------------------------ 0.16/0.34 % (14786)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.34 % (14786)Termination reason: Refutation not found, incomplete strategy 0.16/0.34 0.16/0.34 0.16/0.34 % (14786)Memory used [KB]: 5628 0.16/0.34 % (14786)Time elapsed: 0.007 s 0.16/0.34 % (14786)Instructions burned: 11 (million) 0.16/0.34 % (14786)------------------------------ 0.16/0.34 % (14786)------------------------------ 0.16/0.34 % (14783)Instruction limit reached! 0.16/0.34 % (14783)------------------------------ 0.16/0.34 % (14783)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.34 % (14783)Termination reason: Unknown 0.16/0.34 % (14783)Termination phase: Saturation 0.16/0.34 0.16/0.34 % (14783)Memory used [KB]: 5628 0.16/0.34 % (14783)Time elapsed: 0.009 s 0.16/0.34 % (14783)Instructions burned: 18 (million) 0.16/0.34 % (14783)------------------------------ 0.16/0.34 % (14783)------------------------------ 0.16/0.35 % (14787)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) 0.16/0.35 % (14781)Instruction limit reached! 0.16/0.35 % (14781)------------------------------ 0.16/0.35 % (14781)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.35 % (14781)Termination reason: Unknown 0.16/0.35 % (14781)Termination phase: Saturation 0.16/0.35 0.16/0.35 % (14781)Memory used [KB]: 5884 0.16/0.35 % (14781)Time elapsed: 0.017 s 0.16/0.35 % (14781)Instructions burned: 34 (million) 0.16/0.35 % (14781)------------------------------ 0.16/0.35 % (14781)------------------------------ 0.16/0.35 % (14780)Instruction limit reached! 0.16/0.35 % (14780)------------------------------ 0.16/0.35 % (14780)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.35 % (14780)Termination reason: Unknown 0.16/0.35 % (14780)Termination phase: Saturation 0.16/0.35 0.16/0.35 % (14780)Memory used [KB]: 5756 0.16/0.35 % (14780)Time elapsed: 0.018 s 0.16/0.35 % (14780)Instructions burned: 36 (million) 0.16/0.35 % (14780)------------------------------ 0.16/0.35 % (14780)------------------------------ 0.16/0.35 % (14788)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.16/0.35 % (14789)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) 0.16/0.36 % (14788)Instruction limit reached! 0.16/0.36 % (14788)------------------------------ 0.16/0.36 % (14788)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.36 % (14788)Termination reason: Unknown 0.16/0.36 % (14788)Termination phase: Property scanning 0.16/0.36 0.16/0.36 % (14788)Memory used [KB]: 1151 0.16/0.36 % (14788)Time elapsed: 0.005 s 0.16/0.36 % (14788)Instructions burned: 8 (million) 0.16/0.36 % (14788)------------------------------ 0.16/0.36 % (14788)------------------------------ 0.16/0.36 % (14787)Instruction limit reached! 0.16/0.36 % (14787)------------------------------ 0.16/0.36 % (14787)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.36 % (14787)Termination reason: Unknown 0.16/0.36 % (14787)Termination phase: Saturation 0.16/0.36 0.16/0.36 % (14787)Memory used [KB]: 5756 0.16/0.36 % (14787)Time elapsed: 0.011 s 0.16/0.36 % (14787)Instructions burned: 21 (million) 0.16/0.36 % (14787)------------------------------ 0.16/0.36 % (14787)------------------------------ 0.16/0.36 % (14790)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) 0.16/0.36 % (14791)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) 0.16/0.37 % (14791)Instruction limit reached! 0.16/0.37 % (14791)------------------------------ 0.16/0.37 % (14791)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.37 % (14791)Termination reason: Unknown 0.16/0.37 % (14791)Termination phase: Function definition elimination 0.16/0.37 0.16/0.37 % (14791)Memory used [KB]: 1151 0.16/0.37 % (14791)Time elapsed: 0.006 s 0.16/0.37 % (14791)Instructions burned: 11 (million) 0.16/0.37 % (14791)------------------------------ 0.16/0.37 % (14791)------------------------------ 0.16/0.37 % (14784)Instruction limit reached! 0.16/0.37 % (14784)------------------------------ 0.16/0.37 % (14784)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.37 % (14784)Termination reason: Unknown 0.16/0.37 % (14784)Termination phase: Saturation 0.16/0.37 0.16/0.37 % (14784)Memory used [KB]: 6012 0.16/0.37 % (14784)Time elapsed: 0.037 s 0.16/0.37 % (14784)Instructions burned: 75 (million) 0.16/0.37 % (14784)------------------------------ 0.16/0.37 % (14784)------------------------------ 0.16/0.37 % (14792)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) 0.16/0.37 % (14793)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) 0.16/0.38 % (14794)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.16/0.38 % (14795)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.16/0.38 % (14779)Instruction limit reached! 0.16/0.38 % (14779)------------------------------ 0.16/0.38 % (14779)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.38 % (14779)Termination reason: Unknown 0.16/0.38 % (14779)Termination phase: Saturation 0.16/0.38 0.16/0.38 % (14779)Memory used [KB]: 6268 0.16/0.38 % (14779)Time elapsed: 0.051 s 0.16/0.38 % (14779)Instructions burned: 97 (million) 0.16/0.38 % (14779)------------------------------ 0.16/0.38 % (14779)------------------------------ 0.16/0.39 % (14795)Instruction limit reached! 0.16/0.39 % (14795)------------------------------ 0.16/0.39 % (14795)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.39 % (14795)Termination reason: Unknown 0.16/0.39 % (14795)Termination phase: Saturation 0.16/0.39 0.16/0.39 % (14795)Memory used [KB]: 5628 0.16/0.39 % (14795)Time elapsed: 0.008 s 0.16/0.39 % (14795)Instructions burned: 15 (million) 0.16/0.39 % (14795)------------------------------ 0.16/0.39 % (14795)------------------------------ 0.16/0.40 % (14796)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) 0.16/0.40 % (14796)Instruction limit reached! 0.16/0.40 % (14796)------------------------------ 0.16/0.40 % (14796)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.40 % (14796)Termination reason: Unknown 0.16/0.40 % (14790)Instruction limit reached! 0.16/0.40 % (14790)------------------------------ 0.16/0.40 % (14790)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.40 % (14796)Termination phase: shuffling 0.16/0.40 0.16/0.40 % (14796)Memory used [KB]: 1023 0.16/0.40 % (14796)Time elapsed: 0.002 s 0.16/0.40 % (14796)Instructions burned: 2 (million) 0.16/0.40 % (14796)------------------------------ 0.16/0.40 % (14796)------------------------------ 0.16/0.40 % (14790)Termination reason: Unknown 0.16/0.40 % (14790)Termination phase: Saturation 0.16/0.40 0.16/0.40 % (14790)Memory used [KB]: 6012 0.16/0.40 % (14790)Time elapsed: 0.036 s 0.16/0.40 % (14790)Instructions burned: 72 (million) 0.16/0.40 % (14790)------------------------------ 0.16/0.40 % (14790)------------------------------ 0.16/0.40 % (14797)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) 0.16/0.41 % (14798)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) 0.16/0.41 % (14794)Instruction limit reached! 0.16/0.41 % (14794)------------------------------ 0.16/0.41 % (14794)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.41 % (14794)Termination reason: Unknown 0.16/0.41 % (14794)Termination phase: Saturation 0.16/0.41 0.16/0.41 % (14794)Memory used [KB]: 6140 0.16/0.41 % (14794)Time elapsed: 0.031 s 0.16/0.41 % (14794)Instructions burned: 62 (million) 0.16/0.41 % (14794)------------------------------ 0.16/0.41 % (14794)------------------------------ 0.16/0.41 % (14799)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) 0.16/0.41 % (14798)Instruction limit reached! 0.16/0.41 % (14798)------------------------------ 0.16/0.41 % (14798)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.41 % (14798)Termination reason: Unknown 0.16/0.41 % (14798)Termination phase: Property scanning 0.16/0.41 0.16/0.41 % (14798)Memory used [KB]: 1151 0.16/0.41 % (14798)Time elapsed: 0.006 s 0.16/0.41 % (14798)Instructions burned: 12 (million) 0.16/0.41 % (14798)------------------------------ 0.16/0.41 % (14798)------------------------------ 0.16/0.42 % (14799)Refutation not found, incomplete strategy 0.16/0.42 % (14799)------------------------------ 0.16/0.42 % (14799)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.42 % (14799)Termination reason: Refutation not found, incomplete strategy 0.16/0.42 0.16/0.42 0.16/0.42 % (14799)Memory used [KB]: 5756 0.16/0.42 % (14799)Time elapsed: 0.010 s 0.16/0.42 % (14799)Instructions burned: 18 (million) 0.16/0.42 % (14799)------------------------------ 0.16/0.42 % (14799)------------------------------ 0.16/0.42 % (14800)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) 0.16/0.43 % (14801)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) 0.16/0.43 % (14802)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 (1799ds/275Mi) 0.16/0.43 % (14793)Instruction limit reached! 0.16/0.43 % (14793)------------------------------ 0.16/0.43 % (14793)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.43 % (14793)Termination reason: Unknown 0.16/0.43 % (14793)Termination phase: Saturation 0.16/0.43 0.16/0.43 % (14793)Memory used [KB]: 6140 0.16/0.43 % (14793)Time elapsed: 0.063 s 0.16/0.43 % (14793)Instructions burned: 128 (million) 0.16/0.43 % (14793)------------------------------ 0.16/0.43 % (14793)------------------------------ 0.16/0.44 % (14800)Instruction limit reached! 0.16/0.44 % (14800)------------------------------ 0.16/0.44 % (14800)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.44 % (14800)Termination reason: Unknown 0.16/0.44 % (14800)Termination phase: Saturation 0.16/0.44 0.16/0.44 % (14800)Memory used [KB]: 5756 0.16/0.44 % (14800)Time elapsed: 0.014 s 0.16/0.44 % (14800)Instructions burned: 27 (million) 0.16/0.44 % (14800)------------------------------ 0.16/0.44 % (14800)------------------------------ 0.16/0.44 % (14802)Refutation not found, incomplete strategy 0.16/0.44 % (14802)------------------------------ 0.16/0.44 % (14802)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.44 % (14802)Termination reason: Refutation not found, incomplete strategy 0.16/0.44 0.16/0.44 0.16/0.44 % (14802)Memory used [KB]: 5628 0.16/0.44 % (14802)Time elapsed: 0.006 s 0.16/0.44 % (14802)Instructions burned: 10 (million) 0.16/0.44 % (14802)------------------------------ 0.16/0.44 % (14802)------------------------------ 0.16/0.45 % (14803)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) 0.16/0.45 % (14803)Instruction limit reached! 0.16/0.45 % (14803)------------------------------ 0.16/0.45 % (14803)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.45 % (14803)Termination reason: Unknown 0.16/0.45 % (14803)Termination phase: shuffling 0.16/0.45 0.16/0.45 % (14803)Memory used [KB]: 1023 0.16/0.45 % (14803)Time elapsed: 0.003 s 0.16/0.45 % (14803)Instructions burned: 4 (million) 0.16/0.45 % (14803)------------------------------ 0.16/0.45 % (14803)------------------------------ 0.16/0.45 % (14804)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) 0.16/0.45 % (14805)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) 0.16/0.45 % (14801)Instruction limit reached! 0.16/0.45 % (14801)------------------------------ 0.16/0.45 % (14801)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.45 % (14801)Termination reason: Unknown 0.16/0.45 % (14801)Termination phase: Saturation 0.16/0.45 0.16/0.45 % (14801)Memory used [KB]: 1535 0.16/0.45 % (14801)Time elapsed: 0.028 s 0.16/0.45 % (14801)Instructions burned: 57 (million) 0.16/0.45 % (14801)------------------------------ 0.16/0.45 % (14801)------------------------------ 0.16/0.46 % (14804)Refutation not found, incomplete strategy 0.16/0.46 % (14804)------------------------------ 0.16/0.46 % (14804)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.46 % (14804)Termination reason: Refutation not found, incomplete strategy 0.16/0.46 0.16/0.46 0.16/0.46 % (14804)Memory used [KB]: 5756 0.16/0.46 % (14804)Time elapsed: 0.008 s 0.16/0.46 % (14804)Instructions burned: 14 (million) 0.16/0.46 % (14804)------------------------------ 0.16/0.46 % (14804)------------------------------ 0.16/0.46 % (14806)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) 0.16/0.47 % (14807)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) 0.16/0.47 % (14808)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) 0.16/0.47 % (14805)Instruction limit reached! 0.16/0.47 % (14805)------------------------------ 0.16/0.47 % (14805)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.47 % (14805)Termination reason: Unknown 0.16/0.47 % (14805)Termination phase: Saturation 0.16/0.47 0.16/0.47 % (14805)Memory used [KB]: 1279 0.16/0.47 % (14805)Time elapsed: 0.022 s 0.16/0.47 % (14805)Instructions burned: 45 (million) 0.16/0.47 % (14805)------------------------------ 0.16/0.47 % (14805)------------------------------ 0.16/0.48 % (14809)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) 0.16/0.49 % (14809)Instruction limit reached! 0.16/0.49 % (14809)------------------------------ 0.16/0.49 % (14809)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.49 % (14809)Termination reason: Unknown 0.16/0.49 % (14809)Termination phase: shuffling 0.16/0.49 0.16/0.49 % (14809)Memory used [KB]: 1023 0.16/0.49 % (14809)Time elapsed: 0.003 s 0.16/0.49 % (14809)Instructions burned: 3 (million) 0.16/0.49 % (14809)------------------------------ 0.16/0.49 % (14809)------------------------------ 0.16/0.50 % (14807)Instruction limit reached! 0.16/0.50 % (14807)------------------------------ 0.16/0.50 % (14807)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.50 % (14807)Termination reason: Unknown 0.16/0.50 % (14807)Termination phase: Saturation 0.16/0.50 0.16/0.50 % (14807)Memory used [KB]: 6012 0.16/0.50 % (14807)Time elapsed: 0.052 s 0.16/0.50 % (14807)Instructions burned: 64 (million) 0.16/0.50 % (14807)------------------------------ 0.16/0.50 % (14807)------------------------------ 0.16/0.50 % (14810)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) 0.16/0.51 % (14811)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) 0.16/0.51 % (14811)Instruction limit reached! 0.16/0.51 % (14811)------------------------------ 0.16/0.51 % (14811)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.51 % (14811)Termination reason: Unknown 0.16/0.51 % (14811)Termination phase: shuffling 0.16/0.51 0.16/0.51 % (14811)Memory used [KB]: 1023 0.16/0.51 % (14811)Time elapsed: 0.003 s 0.16/0.51 % (14811)Instructions burned: 4 (million) 0.16/0.51 % (14811)------------------------------ 0.16/0.51 % (14811)------------------------------ 0.16/0.52 % (14808)Instruction limit reached! 0.16/0.52 % (14808)------------------------------ 0.16/0.52 % (14808)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.52 % (14808)Termination reason: Unknown 0.16/0.52 % (14808)Termination phase: Saturation 0.16/0.52 0.16/0.52 % (14808)Memory used [KB]: 6140 0.16/0.52 % (14808)Time elapsed: 0.074 s 0.16/0.52 % (14808)Instructions burned: 105 (million) 0.16/0.52 % (14808)------------------------------ 0.16/0.52 % (14808)------------------------------ 0.16/0.52 % (14782)Instruction limit reached! 0.16/0.52 % (14782)------------------------------ 0.16/0.52 % (14782)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.52 % (14782)Termination reason: Unknown 0.16/0.52 % (14782)Termination phase: Saturation 0.16/0.52 0.16/0.52 % (14782)Memory used [KB]: 6652 0.16/0.52 % (14782)Time elapsed: 0.188 s 0.16/0.52 % (14782)Instructions burned: 386 (million) 0.16/0.52 % (14782)------------------------------ 0.16/0.52 % (14782)------------------------------ 0.16/0.52 % (14812)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) 0.16/0.53 % (14812)Instruction limit reached! 0.16/0.53 % (14812)------------------------------ 0.16/0.53 % (14812)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.53 % (14812)Termination reason: Unknown 0.16/0.53 % (14812)Termination phase: shuffling 0.16/0.53 0.16/0.53 % (14812)Memory used [KB]: 1151 0.16/0.53 % (14812)Time elapsed: 0.003 s 0.16/0.53 % (14812)Instructions burned: 4 (million) 0.16/0.53 % (14812)------------------------------ 0.16/0.53 % (14812)------------------------------ 0.16/0.53 % (14813)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on Vampire---4 for (1798ds/149Mi) 0.16/0.53 % (14814)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) 0.16/0.54 % (14815)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=199:si=on:rtra=on_0 on Vampire---4 for (1797ds/199Mi) 0.16/0.55 % (14815)Refutation not found, incomplete strategy 0.16/0.55 % (14815)------------------------------ 0.16/0.55 % (14815)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.55 % (14815)Termination reason: Refutation not found, incomplete strategy 0.16/0.55 0.16/0.55 0.16/0.55 % (14815)Memory used [KB]: 5756 0.16/0.55 % (14815)Time elapsed: 0.009 s 0.16/0.55 % (14815)Instructions burned: 18 (million) 0.16/0.55 % (14815)------------------------------ 0.16/0.55 % (14815)------------------------------ 0.16/0.55 % (14806)Instruction limit reached! 0.16/0.55 % (14806)------------------------------ 0.16/0.55 % (14806)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.55 % (14806)Termination reason: Unknown 0.16/0.55 % (14806)Termination phase: Saturation 0.16/0.55 0.16/0.55 % (14806)Memory used [KB]: 7291 0.16/0.55 % (14806)Time elapsed: 0.117 s 0.16/0.55 % (14806)Instructions burned: 192 (million) 0.16/0.55 % (14806)------------------------------ 0.16/0.55 % (14806)------------------------------ 0.16/0.56 % (14816)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (1797ds/39Mi) 0.16/0.57 % (14817)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) 0.16/0.57 % (14817)Refutation not found, incomplete strategy 0.16/0.57 % (14817)------------------------------ 0.16/0.57 % (14817)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.57 % (14817)Termination reason: Refutation not found, incomplete strategy 0.16/0.57 0.16/0.57 0.16/0.57 % (14817)Memory used [KB]: 5628 0.16/0.57 % (14817)Time elapsed: 0.007 s 0.16/0.57 % (14817)Instructions burned: 12 (million) 0.16/0.57 % (14817)------------------------------ 0.16/0.57 % (14817)------------------------------ 0.16/0.58 % (14816)Instruction limit reached! 0.16/0.58 % (14816)------------------------------ 0.16/0.58 % (14816)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.58 % (14816)Termination reason: Unknown 0.16/0.58 % (14816)Termination phase: Saturation 0.16/0.58 0.16/0.58 % (14816)Memory used [KB]: 5884 0.16/0.58 % (14816)Time elapsed: 0.019 s 0.16/0.58 % (14816)Instructions burned: 39 (million) 0.16/0.58 % (14816)------------------------------ 0.16/0.58 % (14816)------------------------------ 0.16/0.59 % (14818)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) 0.16/0.59 % (14818)Instruction limit reached! 0.16/0.59 % (14818)------------------------------ 0.16/0.59 % (14818)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.16/0.59 % (14818)Termination reason: Unknown 0.16/0.59 % (14818)Termination phase: shuffling 0.16/0.59 0.16/0.59 % (14818)Memory used [KB]: 1151 0.16/0.59 % (14818)Time elapsed: 0.003 s 0.16/0.59 % (14818)Instructions burned: 4 (million) 0.16/0.59 % (14818)------------------------------ 0.16/0.59 % (14818)------------------------------ 0.16/0.59 % (14819)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) 2.22/0.60 % (14814)Refutation not found, incomplete strategy 2.22/0.60 % (14814)------------------------------ 2.22/0.60 % (14814)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.22/0.60 % (14814)Termination reason: Refutation not found, incomplete strategy 2.22/0.60 2.22/0.60 2.22/0.60 % (14814)Memory used [KB]: 6012 2.22/0.60 % (14814)Time elapsed: 0.093 s 2.22/0.60 % (14814)Instructions burned: 144 (million) 2.22/0.60 % (14814)------------------------------ 2.22/0.60 % (14814)------------------------------ 2.22/0.60 % (14819)Instruction limit reached! 2.22/0.60 % (14819)------------------------------ 2.22/0.60 % (14819)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.22/0.60 % (14819)Termination reason: Unknown 2.22/0.60 % (14819)Termination phase: Saturation 2.22/0.60 2.22/0.60 % (14819)Memory used [KB]: 5756 2.22/0.60 % (14819)Time elapsed: 0.011 s 2.22/0.60 % (14819)Instructions burned: 19 (million) 2.22/0.60 % (14819)------------------------------ 2.22/0.60 % (14819)------------------------------ 2.22/0.60 % (14820)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) 2.22/0.61 % (14813)Instruction limit reached! 2.22/0.61 % (14813)------------------------------ 2.22/0.61 % (14813)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.22/0.61 % (14813)Termination reason: Unknown 2.22/0.61 % (14813)Termination phase: Saturation 2.22/0.61 2.22/0.61 % (14813)Memory used [KB]: 6268 2.22/0.61 % (14813)Time elapsed: 0.099 s 2.22/0.61 % (14813)Instructions burned: 150 (million) 2.22/0.61 % (14813)------------------------------ 2.22/0.61 % (14813)------------------------------ 2.26/0.61 % (14821)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on Vampire---4 for (1797ds/448Mi) 2.26/0.61 % (14822)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (1797ds/6Mi) 2.26/0.62 % (14822)Instruction limit reached! 2.26/0.62 % (14822)------------------------------ 2.26/0.62 % (14822)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.26/0.62 % (14822)Termination reason: Unknown 2.26/0.62 % (14822)Termination phase: Property scanning 2.26/0.62 2.26/0.62 % (14822)Memory used [KB]: 1151 2.26/0.62 % (14822)Time elapsed: 0.004 s 2.26/0.62 % (14822)Instructions burned: 6 (million) 2.26/0.62 % (14822)------------------------------ 2.26/0.62 % (14822)------------------------------ 2.26/0.62 % (14823)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) 2.26/0.63 % (14823)Instruction limit reached! 2.26/0.63 % (14823)------------------------------ 2.26/0.63 % (14823)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.26/0.63 % (14823)Termination reason: Unknown 2.26/0.63 % (14823)Termination phase: Function definition elimination 2.26/0.63 2.26/0.63 % (14823)Memory used [KB]: 1151 2.26/0.63 % (14823)Time elapsed: 0.006 s 2.26/0.63 % (14823)Instructions burned: 10 (million) 2.26/0.63 % (14823)------------------------------ 2.26/0.63 % (14823)------------------------------ 2.26/0.63 % (14824)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) 2.48/0.64 % (14824)Instruction limit reached! 2.48/0.64 % (14824)------------------------------ 2.48/0.64 % (14824)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.48/0.64 % (14824)Termination reason: Unknown 2.48/0.64 % (14824)Termination phase: Saturation 2.48/0.64 2.48/0.64 % (14824)Memory used [KB]: 5628 2.48/0.64 % (14824)Time elapsed: 0.008 s 2.48/0.64 % (14824)Instructions burned: 16 (million) 2.48/0.64 % (14824)------------------------------ 2.48/0.64 % (14824)------------------------------ 2.48/0.64 % (14810)Instruction limit reached! 2.48/0.64 % (14810)------------------------------ 2.48/0.64 % (14810)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.48/0.64 % (14810)Termination reason: Unknown 2.48/0.64 % (14810)Termination phase: Saturation 2.48/0.64 2.48/0.64 % (14810)Memory used [KB]: 6652 2.48/0.64 % (14810)Time elapsed: 0.146 s 2.48/0.64 % (14810)Instructions burned: 238 (million) 2.48/0.64 % (14810)------------------------------ 2.48/0.64 % (14810)------------------------------ 2.48/0.64 % (14825)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=40:si=on:rtra=on_0 on Vampire---4 for (1796ds/40Mi) 2.48/0.64 % (14797)First to succeed. 2.48/0.65 % (14826)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (1796ds/2Mi) 2.48/0.65 % (14827)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 (1796ds/98Mi) 2.48/0.65 % (14826)Instruction limit reached! 2.48/0.65 % (14826)------------------------------ 2.48/0.65 % (14826)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.48/0.65 % (14826)Termination reason: Unknown 2.48/0.65 % (14826)Termination phase: shuffling 2.48/0.65 2.48/0.65 % (14826)Memory used [KB]: 1023 2.48/0.65 % (14826)Time elapsed: 0.003 s 2.48/0.65 % (14826)Instructions burned: 4 (million) 2.48/0.65 % (14826)------------------------------ 2.48/0.65 % (14826)------------------------------ 2.48/0.65 % (14797)Refutation found. Thanks to Tanya! 2.48/0.65 % SZS status Theorem for Vampire---4 2.48/0.65 % SZS output start Proof for Vampire---4 2.48/0.65 thf(type_def_5, type, mu: $tType). 2.48/0.65 thf(type_def_7, type, reg: $tType). 2.48/0.65 thf(func_def_0, type, mu: $tType). 2.48/0.65 thf(func_def_1, type, meq_ind: mu > mu > $i > $o). 2.48/0.65 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 2.48/0.65 thf(func_def_4, type, mnot: ($i > $o) > $i > $o). 2.48/0.65 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o). 2.48/0.65 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o). 2.48/0.65 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 2.48/0.65 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 2.48/0.65 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 2.48/0.65 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 2.48/0.65 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o). 2.48/0.65 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 2.48/0.65 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o). 2.48/0.65 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 2.48/0.65 thf(func_def_15, type, mtrue: $i > $o). 2.48/0.65 thf(func_def_16, type, mfalse: $i > $o). 2.48/0.65 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 2.48/0.65 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 2.48/0.65 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o). 2.48/0.65 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o). 2.48/0.65 thf(func_def_21, type, mserial: ($i > $i > $o) > $o). 2.48/0.65 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o). 2.48/0.65 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o). 2.48/0.65 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o). 2.48/0.65 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o). 2.48/0.65 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o). 2.48/0.65 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o). 2.48/0.65 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o). 2.48/0.65 thf(func_def_29, type, mvalid: ($i > $o) > $o). 2.48/0.65 thf(func_def_30, type, minvalid: ($i > $o) > $o). 2.48/0.65 thf(func_def_31, type, msatisfiable: ($i > $o) > $o). 2.48/0.65 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o). 2.48/0.65 thf(func_def_33, type, reg: $tType). 2.48/0.65 thf(func_def_34, type, c: reg > reg > $o). 2.48/0.65 thf(func_def_35, type, dc: reg > reg > $o). 2.48/0.65 thf(func_def_36, type, p: reg > reg > $o). 2.48/0.65 thf(func_def_37, type, eq: reg > reg > $o). 2.48/0.65 thf(func_def_38, type, o: reg > reg > $o). 2.48/0.65 thf(func_def_39, type, po: reg > reg > $o). 2.48/0.65 thf(func_def_40, type, ec: reg > reg > $o). 2.48/0.65 thf(func_def_41, type, pp: reg > reg > $o). 2.48/0.65 thf(func_def_42, type, tpp: reg > reg > $o). 2.48/0.65 thf(func_def_43, type, ntpp: reg > reg > $o). 2.48/0.65 thf(func_def_44, type, catalunya: reg). 2.48/0.65 thf(func_def_45, type, france: reg). 2.48/0.65 thf(func_def_46, type, spain: reg). 2.48/0.65 thf(func_def_47, type, paris: reg). 2.48/0.65 thf(func_def_48, type, a: $i > $i > $o). 2.48/0.65 thf(func_def_49, type, fool: $i > $i > $o). 2.48/0.65 thf(func_def_66, type, ph1: !>[X0: $tType]:(X0)). 2.48/0.65 thf(func_def_70, type, sK5: reg). 2.48/0.65 thf(func_def_71, type, sK6: reg). 2.48/0.65 thf(func_def_72, type, sK7: reg). 2.48/0.65 thf(func_def_73, type, sK8: reg). 2.48/0.65 thf(func_def_74, type, sK9: reg). 2.48/0.65 thf(func_def_75, type, sK10: reg). 2.48/0.65 thf(func_def_76, type, sK11: reg). 2.48/0.65 thf(func_def_77, type, sK12: reg). 2.48/0.65 thf(func_def_78, type, sK13: reg). 2.48/0.65 thf(func_def_79, type, sK14: reg). 2.48/0.65 thf(func_def_80, type, sK15: reg). 2.48/0.65 thf(func_def_81, type, sK16: reg). 2.48/0.65 thf(func_def_82, type, sK17: reg). 2.48/0.65 thf(func_def_83, type, sK18: reg). 2.48/0.65 thf(func_def_84, type, sK19: reg). 2.48/0.65 thf(func_def_85, type, sK20: reg). 2.48/0.65 thf(func_def_86, type, sK21: reg). 2.48/0.65 thf(func_def_87, type, sK22: reg). 2.48/0.65 thf(func_def_88, type, sK23: $i > ($i > $o) > $i). 2.48/0.65 thf(func_def_89, type, sK24: reg). 2.48/0.65 thf(func_def_90, type, sK25: reg). 2.48/0.65 thf(f4415,plain,( 2.48/0.65 $false), 2.48/0.65 inference(avatar_sat_refutation,[],[f255,f283,f2556,f3931,f4414])). 2.48/0.65 thf(f4414,plain,( 2.48/0.65 ~spl0_2 | ~spl0_3), 2.48/0.65 inference(avatar_contradiction_clause,[],[f4413])). 2.48/0.65 thf(f4413,plain,( 2.48/0.65 $false | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(trivial_inequality_removal,[],[f4412])). 2.48/0.65 thf(f4412,plain,( 2.48/0.65 ($true = $false) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(boolean_simplification,[],[f4411])). 2.48/0.65 thf(f4411,plain,( 2.48/0.65 ((~ $true) = $true) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(backward_demodulation,[],[f4383,f4408])). 2.48/0.65 thf(f4408,plain,( 2.48/0.65 ($true = (c @ sK20 @ paris)) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(boolean_simplification,[],[f4403])). 2.48/0.65 thf(f4403,plain,( 2.48/0.65 ($true = ($true => (c @ sK20 @ paris))) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(superposition,[],[f4266,f4354])). 2.48/0.65 thf(f4354,plain,( 2.48/0.65 ((c @ sK20 @ sK8) = $true) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(binary_proxy_clausification,[],[f4343])). 2.48/0.65 thf(f4343,plain,( 2.48/0.65 (((c @ sK20 @ sK8) => (c @ sK20 @ france)) = $false) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(beta_eta_normalization,[],[f4341])). 2.48/0.65 thf(f4341,plain,( 2.48/0.65 ($false = ((^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ france))) @ sK20)) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(sigma_clausification,[],[f4133])). 2.48/0.65 thf(f4133,plain,( 2.48/0.65 ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ france))))) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(boolean_simplification,[],[f4132])). 2.48/0.65 thf(f4132,plain,( 2.48/0.65 ($false = ($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ france)))))) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(superposition,[],[f2624,f4123])). 2.48/0.65 thf(f4123,plain,( 2.48/0.65 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ spain))))) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(boolean_simplification,[],[f4122])). 2.48/0.65 thf(f4122,plain,( 2.48/0.65 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ spain)))) & $true)) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(backward_demodulation,[],[f4113,f4120])). 2.48/0.65 thf(f4120,plain,( 2.48/0.65 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ paris))))) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(binary_proxy_clausification,[],[f4113])). 2.48/0.65 thf(f4113,plain,( 2.48/0.65 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ spain)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ paris)))))) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(beta_eta_normalization,[],[f4108])). 2.48/0.65 thf(f4108,plain,( 2.48/0.65 (((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))) @ sK8) = $true) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(sigma_clausification,[],[f4096])). 2.48/0.65 thf(f4096,plain,( 2.48/0.65 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))) = $true) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(not_proxy_clausification,[],[f4002])). 2.48/0.65 thf(f4002,plain,( 2.48/0.65 ($false = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(boolean_simplification,[],[f4001])). 2.48/0.65 thf(f4001,plain,( 2.48/0.65 ($false = ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & $true)) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(backward_demodulation,[],[f2584,f4000])). 2.48/0.65 thf(f4000,plain,( 2.48/0.65 ($true = (c @ spain @ paris)) | ~spl0_2), 2.48/0.65 inference(boolean_simplification,[],[f3996])). 2.48/0.65 thf(f3996,plain,( 2.48/0.65 ($true = ($true => (c @ spain @ paris))) | ~spl0_2), 2.48/0.65 inference(superposition,[],[f219,f3968])). 2.48/0.65 thf(f3968,plain,( 2.48/0.65 ($true = (c @ paris @ spain)) | ~spl0_2), 2.48/0.65 inference(boolean_simplification,[],[f3965])). 2.48/0.65 thf(f3965,plain,( 2.48/0.65 (($true => (c @ paris @ spain)) = $true) | ~spl0_2), 2.48/0.65 inference(superposition,[],[f348,f3957])). 2.48/0.65 thf(f3957,plain,( 2.48/0.65 ($true = (c @ paris @ catalunya)) | ~spl0_2), 2.48/0.65 inference(boolean_simplification,[],[f3951])). 2.48/0.65 thf(f3951,plain,( 2.48/0.65 ($true = ($true => (c @ paris @ catalunya))) | ~spl0_2), 2.48/0.65 inference(superposition,[],[f219,f3934])). 2.48/0.65 thf(f3934,plain,( 2.48/0.65 ((c @ catalunya @ paris) = $true) | ~spl0_2), 2.48/0.65 inference(not_proxy_clausification,[],[f254])). 2.48/0.65 thf(f254,plain,( 2.48/0.65 ($false = (~ (c @ catalunya @ paris))) | ~spl0_2), 2.48/0.65 inference(avatar_component_clause,[],[f253])). 2.48/0.65 thf(f253,plain,( 2.48/0.65 spl0_2 <=> ($false = (~ (c @ catalunya @ paris)))), 2.48/0.65 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 2.48/0.65 thf(f348,plain,( 2.48/0.65 ( ! [X1 : reg] : ((((c @ X1 @ catalunya) => (c @ X1 @ spain)) = $true)) )), 2.48/0.65 inference(beta_eta_normalization,[],[f346])). 2.48/0.65 thf(f346,plain,( 2.48/0.65 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))) @ X1) = $true)) )), 2.48/0.65 inference(pi_clausification,[],[f331])). 2.48/0.65 thf(f331,plain,( 2.48/0.65 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))), 2.48/0.65 inference(binary_proxy_clausification,[],[f325])). 2.48/0.65 thf(f325,plain,( 2.48/0.65 (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))) = $true)), 2.48/0.65 inference(binary_proxy_clausification,[],[f318])). 2.48/0.65 thf(f318,plain,( 2.48/0.65 ($true = ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))))), 2.48/0.65 inference(boolean_simplification,[],[f317])). 2.48/0.65 thf(f317,plain,( 2.48/0.65 ($true = ($false | ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))))))), 2.48/0.65 inference(boolean_simplification,[],[f313])). 2.48/0.65 thf(f313,plain,( 2.48/0.65 ($true = ((~ $true) | ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))))))), 2.48/0.65 inference(superposition,[],[f311,f238])). 2.48/0.65 thf(f238,plain,( 2.48/0.65 ($true = (a @ sK2 @ sK3))), 2.48/0.65 inference(not_proxy_clausification,[],[f236])). 2.48/0.65 thf(f236,plain,( 2.48/0.65 ((~ (a @ sK2 @ sK3)) = $false)), 2.48/0.65 inference(boolean_simplification,[],[f234])). 2.48/0.65 thf(f234,plain,( 2.48/0.65 ($false = ((~ (a @ sK2 @ sK3)) | $false))), 2.48/0.65 inference(backward_demodulation,[],[f231,f232])). 2.48/0.65 thf(f232,plain,( 2.48/0.65 ($false = ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris))))), 2.48/0.65 inference(binary_proxy_clausification,[],[f231])). 2.48/0.65 thf(f231,plain,( 2.48/0.65 (((~ (a @ sK2 @ sK3)) | ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris)))) = $false)), 2.48/0.65 inference(beta_eta_normalization,[],[f230])). 2.48/0.65 thf(f230,plain,( 2.48/0.65 ($false = ((^[Y0 : $i]: ((~ (a @ sK2 @ Y0)) | ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris))))) @ sK3))), 2.48/0.65 inference(sigma_clausification,[],[f229])). 2.48/0.65 thf(f229,plain,( 2.48/0.65 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ sK2 @ Y0)) | ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris)))))))), 2.48/0.65 inference(beta_eta_normalization,[],[f228])). 2.48/0.65 thf(f228,plain,( 2.48/0.65 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris))))))) @ sK2))), 2.48/0.65 inference(sigma_clausification,[],[f225])). 2.48/0.65 thf(f225,plain,( 2.48/0.65 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris)))))))) = $false)), 2.48/0.65 inference(not_proxy_clausification,[],[f211])). 2.48/0.65 thf(f211,plain,( 2.48/0.65 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris))))))))) = $true)), 2.48/0.65 inference(beta_eta_normalization,[],[f208])). 2.48/0.65 thf(f208,plain,( 2.48/0.65 ((~ ((^[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]: (~ (c @ Y1 @ Y2))))) @ spain @ paris) & ((^[Y1 : reg]: ((^[Y2 : reg]: (~ (c @ Y1 @ Y2))))) @ catalunya @ paris)))))) = $true)), 2.48/0.65 inference(definition_unfolding,[],[f184,f183,f168,f171,f171])). 2.48/0.65 thf(f171,plain,( 2.48/0.65 (dc = (^[Y0 : reg]: ((^[Y1 : reg]: (~ (c @ Y0 @ Y1))))))), 2.48/0.65 inference(cnf_transformation,[],[f140])). 2.48/0.65 thf(f140,plain,( 2.48/0.65 (dc = (^[Y0 : reg]: ((^[Y1 : reg]: (~ (c @ Y0 @ Y1))))))), 2.48/0.65 inference(fool_elimination,[],[f139])). 2.48/0.65 thf(f139,plain,( 2.48/0.65 (dc = (^[X0 : reg, X1 : reg] : (~(c @ X0 @ X1))))), 2.48/0.65 inference(rectify,[],[f32])). 2.48/0.65 thf(f32,axiom,( 2.48/0.65 (dc = (^[X0 : reg, X1 : reg] : (~(c @ X0 @ X1))))), 2.48/0.65 file('/export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671',dc)). 2.48/0.65 thf(f168,plain,( 2.48/0.65 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))), 2.48/0.65 inference(cnf_transformation,[],[f94])). 2.48/0.65 thf(f94,plain,( 2.48/0.65 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))), 2.48/0.65 inference(fool_elimination,[],[f93])). 2.48/0.65 thf(f93,plain,( 2.48/0.65 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))))), 2.48/0.65 inference(rectify,[],[f16])). 2.48/0.65 thf(f16,axiom,( 2.48/0.65 (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))))), 2.48/0.65 file('/export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671',mbox)). 2.48/0.65 thf(f183,plain,( 2.48/0.65 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 2.48/0.65 inference(cnf_transformation,[],[f51])). 2.48/0.65 thf(f51,plain,( 2.48/0.65 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 2.48/0.65 inference(fool_elimination,[],[f50])). 2.48/0.65 thf(f50,plain,( 2.48/0.65 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))), 2.48/0.65 inference(rectify,[],[f28])). 2.48/0.65 thf(f28,axiom,( 2.48/0.65 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))), 2.48/0.65 file('/export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671',mvalid)). 2.48/0.65 thf(f184,plain,( 2.48/0.65 ((~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: ((dc @ spain @ paris) & (dc @ catalunya @ paris)))))) = $true)), 2.48/0.65 inference(cnf_transformation,[],[f86])). 2.48/0.65 thf(f86,plain,( 2.48/0.65 ((~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: ((dc @ spain @ paris) & (dc @ catalunya @ paris)))))) = $true)), 2.48/0.65 inference(fool_elimination,[],[f85])). 2.48/0.65 thf(f85,plain,( 2.48/0.65 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : ((dc @ catalunya @ paris) & (dc @ spain @ paris)))))), 2.48/0.65 inference(rectify,[],[f46])). 2.48/0.65 thf(f46,negated_conjecture,( 2.48/0.65 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : ((dc @ catalunya @ paris) & (dc @ spain @ paris)))))), 2.48/0.65 inference(negated_conjecture,[],[f45])). 2.48/0.65 thf(f45,conjecture,( 2.48/0.65 (mvalid @ (mbox @ a @ (^[X0 : $i] : ((dc @ catalunya @ paris) & (dc @ spain @ paris)))))), 2.48/0.65 file('/export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671',con)). 2.48/0.65 thf(f311,plain,( 2.48/0.65 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (a @ X1 @ X2)) | ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya))))) & ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))))))) )), 2.48/0.65 inference(beta_eta_normalization,[],[f310])). 2.48/0.65 thf(f310,plain,( 2.48/0.65 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))) & (c @ Y1 @ spain)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))))) & (c @ Y1 @ catalunya))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))))))) @ X2))) )), 2.48/0.65 inference(pi_clausification,[],[f309])). 2.48/0.65 thf(f309,plain,( 2.48/0.65 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))) & (c @ Y1 @ spain)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))))) & (c @ Y1 @ catalunya))))) & ((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain))))))))))) )), 2.48/0.65 inference(beta_eta_normalization,[],[f308])). 2.48/0.65 thf(f308,plain,( 2.48/0.65 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))))))) & (c @ Y2 @ spain)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))))))) & (c @ Y2 @ catalunya))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))))))))) @ X1))) )), 2.48/0.65 inference(pi_clausification,[],[f213])). 2.48/0.65 thf(f213,plain,( 2.48/0.65 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))))))) & (c @ Y2 @ spain)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))))))) & (c @ Y2 @ catalunya))))) & ((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain))))))))))))), 2.48/0.65 inference(beta_eta_normalization,[],[f204])). 2.48/0.65 thf(f204,plain,( 2.48/0.65 (((^[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]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y2) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)) & (c @ 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))))) @ catalunya @ spain)))) = $true)), 2.48/0.65 inference(definition_unfolding,[],[f141,f183,f168,f202])). 2.48/0.65 thf(f202,plain,( 2.48/0.65 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y1) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)) & (c @ 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))))))), 2.48/0.65 inference(definition_unfolding,[],[f162,f200,f200,f201])). 2.48/0.65 thf(f201,plain,( 2.48/0.65 (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))))))), 2.48/0.65 inference(definition_unfolding,[],[f146,f167,f167])). 2.48/0.65 thf(f167,plain,( 2.48/0.65 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))), 2.48/0.65 inference(cnf_transformation,[],[f69])). 2.48/0.65 thf(f69,plain,( 2.48/0.65 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))), 2.48/0.65 inference(fool_elimination,[],[f68])). 2.48/0.65 thf(f68,plain,( 2.48/0.65 (p = (^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))))), 2.48/0.65 inference(rectify,[],[f33])). 2.48/0.65 thf(f33,axiom,( 2.48/0.65 (p = (^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))))), 2.48/0.65 file('/export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671',p)). 2.48/0.65 thf(f146,plain,( 2.48/0.65 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (p @ Y1 @ Y0)) & (p @ Y0 @ Y1))))))), 2.48/0.65 inference(cnf_transformation,[],[f134])). 2.48/0.65 thf(f134,plain,( 2.48/0.65 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (p @ Y1 @ Y0)) & (p @ Y0 @ Y1))))))), 2.48/0.65 inference(fool_elimination,[],[f133])). 2.48/0.65 thf(f133,plain,( 2.48/0.65 (pp = (^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & ~(p @ X1 @ X0))))), 2.48/0.65 inference(rectify,[],[f38])). 2.48/0.65 thf(f38,axiom,( 2.48/0.65 (pp = (^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & ~(p @ X1 @ X0))))), 2.48/0.65 file('/export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671',pp)). 2.48/0.65 thf(f200,plain,( 2.48/0.65 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))), 2.48/0.65 inference(definition_unfolding,[],[f175,f198])). 2.48/0.65 thf(f198,plain,( 2.48/0.65 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y1))))))))), 2.48/0.65 inference(definition_unfolding,[],[f164,f167,f167])). 2.48/0.65 thf(f164,plain,( 2.48/0.65 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))), 2.48/0.65 inference(cnf_transformation,[],[f67])). 2.48/0.65 thf(f67,plain,( 2.48/0.65 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))), 2.48/0.65 inference(fool_elimination,[],[f66])). 2.48/0.65 thf(f66,plain,( 2.48/0.65 (o = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X1) & (p @ X2 @ X0)))))), 2.48/0.65 inference(rectify,[],[f35])). 2.48/0.65 thf(f35,axiom,( 2.48/0.65 (o = (^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X1) & (p @ X11 @ X0)))))), 2.48/0.65 file('/export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671',o)). 2.48/0.65 thf(f175,plain,( 2.48/0.65 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))), 2.48/0.65 inference(cnf_transformation,[],[f113])). 2.48/0.65 thf(f113,plain,( 2.48/0.65 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))), 2.48/0.65 inference(fool_elimination,[],[f112])). 2.48/0.65 thf(f112,plain,( 2.48/0.65 ((^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))) = ec)), 2.48/0.65 inference(rectify,[],[f37])). 2.48/0.65 thf(f37,axiom,( 2.48/0.65 ((^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))) = ec)), 2.48/0.65 file('/export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671',ec)). 2.48/0.65 thf(f162,plain,( 2.48/0.65 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0)))) & (pp @ Y0 @ Y1))))))), 2.48/0.65 inference(cnf_transformation,[],[f73])). 2.48/0.65 thf(f73,plain,( 2.48/0.65 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0)))) & (pp @ Y0 @ Y1))))))), 2.48/0.65 inference(fool_elimination,[],[f72])). 2.48/0.65 thf(f72,plain,( 2.48/0.65 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X2 : reg] : ((ec @ X2 @ X0) & (ec @ X2 @ X1)))) = tpp)), 2.48/0.65 inference(rectify,[],[f39])). 2.48/0.65 thf(f39,axiom,( 2.48/0.65 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X11 : reg] : ((ec @ X11 @ X0) & (ec @ X11 @ X1)))) = tpp)), 2.48/0.65 file('/export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671',tpp)). 2.48/0.65 thf(f141,plain,( 2.48/0.65 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)), 2.48/0.65 inference(cnf_transformation,[],[f57])). 2.48/0.65 thf(f57,plain,( 2.48/0.65 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)), 2.48/0.65 inference(fool_elimination,[],[f56])). 2.48/0.65 thf(f56,plain,( 2.48/0.65 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))), 2.48/0.65 inference(rectify,[],[f47])). 2.48/0.65 thf(f47,axiom,( 2.48/0.65 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))), 2.48/0.65 file('/export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671',ax1)). 2.48/0.65 thf(f219,plain,( 2.48/0.65 ( ! [X2 : reg,X1 : reg] : (($true = ((c @ X2 @ X1) => (c @ X1 @ X2)))) )), 2.48/0.65 inference(beta_eta_normalization,[],[f218])). 2.48/0.65 thf(f218,plain,( 2.48/0.65 ( ! [X2 : reg,X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ X1 @ Y0))) @ X2))) )), 2.48/0.65 inference(pi_clausification,[],[f217])). 2.48/0.65 thf(f217,plain,( 2.48/0.65 ( ! [X1 : reg] : (($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ X1 @ Y0)))))) )), 2.48/0.65 inference(beta_eta_normalization,[],[f216])). 2.48/0.65 thf(f216,plain,( 2.48/0.65 ( ! [X1 : reg] : ((((^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y0 @ Y1))))) @ X1) = $true)) )), 2.48/0.65 inference(pi_clausification,[],[f157])). 2.48/0.65 thf(f157,plain,( 2.48/0.65 ($true = (!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y0 @ Y1)))))))), 2.48/0.65 inference(cnf_transformation,[],[f138])). 2.48/0.65 thf(f138,plain,( 2.48/0.65 ($true = (!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y0 @ Y1)))))))), 2.48/0.65 inference(fool_elimination,[],[f137])). 2.48/0.65 thf(f137,plain,( 2.48/0.65 ! [X0 : reg,X1 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))), 2.48/0.65 inference(rectify,[],[f42])). 2.48/0.65 thf(f42,axiom,( 2.48/0.65 ! [X0 : reg,X1 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))), 2.48/0.65 file('/export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671',c_symmetric)). 2.48/0.65 thf(f2584,plain,( 2.48/0.65 (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & (c @ spain @ paris)) = $false) | ~spl0_3), 2.48/0.65 inference(boolean_simplification,[],[f2581])). 2.48/0.65 thf(f2581,plain,( 2.48/0.65 ($false = (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & (c @ spain @ paris)) & $true)) | ~spl0_3), 2.48/0.65 inference(superposition,[],[f421,f279])). 2.48/0.65 thf(f279,plain,( 2.48/0.65 (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france)) = $true) | ~spl0_3), 2.48/0.65 inference(avatar_component_clause,[],[f278])). 2.48/0.65 thf(f278,plain,( 2.48/0.65 spl0_3 <=> (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france)) = $true)), 2.48/0.65 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 2.48/0.65 thf(f421,plain,( 2.48/0.65 ( ! [X1 : reg] : (($false = (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & (c @ X1 @ paris)) & ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ X1 @ france))))) )), 2.48/0.65 inference(beta_eta_normalization,[],[f420])). 2.48/0.65 thf(f420,plain,( 2.48/0.65 ( ! [X1 : reg] : ((((^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france)))) @ X1) = $false)) )), 2.48/0.65 inference(pi_clausification,[],[f413])). 2.48/0.65 thf(f413,plain,( 2.48/0.65 ($false = (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france))))))), 2.48/0.65 inference(not_proxy_clausification,[],[f406])). 2.48/0.65 thf(f406,plain,( 2.48/0.65 ((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france)))))) = $true)), 2.48/0.65 inference(boolean_simplification,[],[f405])). 2.48/0.65 thf(f405,plain,( 2.48/0.65 ($true = ($true & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france))))))))), 2.48/0.65 inference(backward_demodulation,[],[f341,f404])). 2.48/0.65 thf(f404,plain,( 2.48/0.65 (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) = $true)), 2.48/0.65 inference(binary_proxy_clausification,[],[f341])). 2.48/0.65 thf(f341,plain,( 2.48/0.65 ((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france))))))) = $true)), 2.48/0.65 inference(boolean_simplification,[],[f340])). 2.48/0.65 thf(f340,plain,( 2.48/0.65 ($true = ($false | (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france)))))))))), 2.48/0.65 inference(boolean_simplification,[],[f337])). 2.48/0.65 thf(f337,plain,( 2.48/0.65 ($true = ((~ $true) | (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france)))))))))), 2.48/0.65 inference(superposition,[],[f330,f243])). 2.48/0.65 thf(f243,plain,( 2.48/0.65 ((a @ sK2 @ sK4) = $true)), 2.48/0.65 inference(not_proxy_clausification,[],[f242])). 2.48/0.65 thf(f242,plain,( 2.48/0.65 ($false = (~ (a @ sK2 @ sK4)))), 2.48/0.65 inference(beta_eta_normalization,[],[f241])). 2.48/0.65 thf(f241,plain,( 2.48/0.65 ($false = ((^[Y0 : $i]: (~ (a @ sK2 @ Y0))) @ sK4))), 2.48/0.65 inference(sigma_clausification,[],[f237])). 2.48/0.65 thf(f237,plain,( 2.48/0.65 ((!! @ $i @ (^[Y0 : $i]: (~ (a @ sK2 @ Y0)))) = $false)), 2.48/0.65 inference(boolean_simplification,[],[f235])). 2.48/0.65 thf(f235,plain,( 2.48/0.65 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ sK2 @ Y0)) | $false))))), 2.48/0.65 inference(backward_demodulation,[],[f229,f232])). 2.48/0.65 thf(f330,plain,( 2.48/0.65 ( ! [X2 : $i,X1 : $i] : ((((~ (a @ X1 @ X2)) | (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france)))))))) = $true)) )), 2.48/0.65 inference(beta_eta_normalization,[],[f329])). 2.48/0.65 thf(f329,plain,( 2.48/0.65 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))) & (c @ Y1 @ paris)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ Y1 @ france))))))))) @ X2) = $true)) )), 2.48/0.65 inference(pi_clausification,[],[f324])). 2.48/0.65 thf(f324,plain,( 2.48/0.65 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))) & (c @ Y1 @ paris)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ Y1 @ france)))))))))) = $true)) )), 2.48/0.65 inference(beta_eta_normalization,[],[f323])). 2.48/0.65 thf(f323,plain,( 2.48/0.65 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))))))) & (c @ Y2 @ paris)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))))))) & (c @ Y2 @ france))))))))))) @ X1))) )), 2.48/0.65 inference(pi_clausification,[],[f210])). 2.48/0.65 thf(f210,plain,( 2.48/0.65 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))))))) & (c @ Y2 @ paris)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))))))) & (c @ Y2 @ france)))))))))))) = $true)), 2.48/0.65 inference(beta_eta_normalization,[],[f207])). 2.48/0.65 thf(f207,plain,( 2.48/0.65 ($true = ((^[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]: (((^[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) & (~ (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y2))))))))) @ paris @ france)))))), 2.48/0.65 inference(definition_unfolding,[],[f173,f183,f168,f203])). 2.48/0.65 thf(f203,plain,( 2.48/0.65 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[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) & (~ (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y1))))))))))), 2.48/0.65 inference(definition_unfolding,[],[f154,f201,f200,f200])). 2.48/0.65 thf(f154,plain,( 2.48/0.65 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))), 2.48/0.65 inference(cnf_transformation,[],[f136])). 2.48/0.65 thf(f136,plain,( 2.48/0.65 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))), 2.48/0.65 inference(fool_elimination,[],[f135])). 2.48/0.65 thf(f135,plain,( 2.48/0.65 ((^[X0 : reg, X1 : reg] : (~? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)) & (pp @ X0 @ X1))) = ntpp)), 2.48/0.65 inference(rectify,[],[f40])). 2.48/0.65 thf(f40,axiom,( 2.48/0.65 ((^[X0 : reg, X1 : reg] : (~? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)) & (pp @ X0 @ X1))) = ntpp)), 2.48/0.65 file('/export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671',ntpp)). 2.48/0.65 thf(f173,plain,( 2.48/0.65 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))))), 2.48/0.65 inference(cnf_transformation,[],[f123])). 2.48/0.65 thf(f123,plain,( 2.48/0.65 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))))), 2.48/0.65 inference(fool_elimination,[],[f122])). 2.48/0.65 thf(f122,plain,( 2.48/0.65 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))), 2.48/0.65 inference(rectify,[],[f43])). 2.48/0.65 thf(f43,axiom,( 2.48/0.65 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))), 2.48/0.65 file('/export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671',ax3)). 2.48/0.65 thf(f2624,plain,( 2.48/0.65 ( ! [X1 : reg] : (($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ france))))))) ) | ~spl0_3), 2.48/0.65 inference(beta_eta_normalization,[],[f2620])). 2.48/0.65 thf(f2620,plain,( 2.48/0.65 ( ! [X1 : reg] : (($false = ((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))) @ X1))) ) | ~spl0_3), 2.48/0.65 inference(pi_clausification,[],[f2606])). 2.48/0.65 thf(f2606,plain,( 2.48/0.65 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) = $false) | ~spl0_3), 2.48/0.65 inference(not_proxy_clausification,[],[f2588])). 2.48/0.65 thf(f2588,plain,( 2.48/0.65 ($true = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))) | ~spl0_3), 2.48/0.65 inference(boolean_simplification,[],[f2587])). 2.48/0.65 thf(f2587,plain,( 2.48/0.65 ($true = ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & $true)) | ~spl0_3), 2.48/0.65 inference(backward_demodulation,[],[f279,f2577])). 2.48/0.65 thf(f2577,plain,( 2.48/0.65 ($true = (c @ spain @ france)) | ~spl0_3), 2.48/0.65 inference(binary_proxy_clausification,[],[f279])). 2.48/0.65 thf(f4266,plain,( 2.48/0.65 ( ! [X1 : reg] : (($true = ((c @ X1 @ sK8) => (c @ X1 @ paris)))) ) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(beta_eta_normalization,[],[f4265])). 2.48/0.65 thf(f4265,plain,( 2.48/0.65 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ paris))) @ X1))) ) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(pi_clausification,[],[f4120])). 2.48/0.65 thf(f4383,plain,( 2.48/0.65 ($true = (~ (c @ sK20 @ paris))) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(boolean_simplification,[],[f4375])). 2.48/0.65 thf(f4375,plain,( 2.48/0.65 (((c @ sK20 @ paris) => $false) = $true) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(superposition,[],[f523,f4353])). 2.48/0.65 thf(f4353,plain,( 2.48/0.65 ($false = (c @ sK20 @ france)) | (~spl0_2 | ~spl0_3)), 2.48/0.65 inference(binary_proxy_clausification,[],[f4343])). 2.48/0.65 thf(f523,plain,( 2.48/0.65 ( ! [X1 : reg] : (($true = ((c @ X1 @ paris) => (c @ X1 @ france)))) )), 2.48/0.65 inference(beta_eta_normalization,[],[f521])). 2.48/0.65 thf(f521,plain,( 2.48/0.65 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X1))) )), 2.48/0.65 inference(pi_clausification,[],[f514])). 2.48/0.65 thf(f514,plain,( 2.48/0.65 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) = $true)), 2.48/0.65 inference(boolean_simplification,[],[f513])). 2.48/0.65 thf(f513,plain,( 2.48/0.65 (($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) = $true)), 2.48/0.65 inference(backward_demodulation,[],[f404,f512])). 2.48/0.65 thf(f512,plain,( 2.48/0.65 ($true = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))), 2.48/0.65 inference(binary_proxy_clausification,[],[f404])). 2.48/0.65 thf(f3931,plain,( 2.48/0.65 ~spl0_1 | ~spl0_3), 2.48/0.65 inference(avatar_contradiction_clause,[],[f3930])). 2.48/0.65 thf(f3930,plain,( 2.48/0.65 $false | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(trivial_inequality_removal,[],[f3929])). 2.48/0.65 thf(f3929,plain,( 2.48/0.65 ($true = $false) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(boolean_simplification,[],[f3928])). 2.48/0.65 thf(f3928,plain,( 2.48/0.65 ((~ $true) = $true) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(forward_demodulation,[],[f3923,f3888])). 2.48/0.65 thf(f3888,plain,( 2.48/0.65 ($true = (c @ sK20 @ paris)) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(boolean_simplification,[],[f3883])). 2.48/0.65 thf(f3883,plain,( 2.48/0.65 ($true = ($true => (c @ sK20 @ paris))) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(superposition,[],[f3737,f3842])). 2.48/0.65 thf(f3842,plain,( 2.48/0.65 ((c @ sK20 @ sK8) = $true) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(binary_proxy_clausification,[],[f3831])). 2.48/0.65 thf(f3831,plain,( 2.48/0.65 (((c @ sK20 @ sK8) => (c @ sK20 @ france)) = $false) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(beta_eta_normalization,[],[f3829])). 2.48/0.65 thf(f3829,plain,( 2.48/0.65 ($false = ((^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ france))) @ sK20)) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(sigma_clausification,[],[f3636])). 2.48/0.65 thf(f3636,plain,( 2.48/0.65 ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ france))))) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(boolean_simplification,[],[f3633])). 2.48/0.65 thf(f3633,plain,( 2.48/0.65 ($false = ($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ france)))))) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(superposition,[],[f2624,f3624])). 2.48/0.65 thf(f3624,plain,( 2.48/0.65 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ spain))))) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(boolean_simplification,[],[f3623])). 2.48/0.65 thf(f3623,plain,( 2.48/0.65 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ spain)))) & $true)) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(backward_demodulation,[],[f3611,f3621])). 2.48/0.65 thf(f3621,plain,( 2.48/0.65 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ paris))))) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(binary_proxy_clausification,[],[f3611])). 2.48/0.65 thf(f3611,plain,( 2.48/0.65 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ spain)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ paris)))))) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(beta_eta_normalization,[],[f3609])). 2.48/0.65 thf(f3609,plain,( 2.48/0.65 (((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))) @ sK8) = $true) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(sigma_clausification,[],[f3589])). 2.48/0.65 thf(f3589,plain,( 2.48/0.65 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))) = $true) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(not_proxy_clausification,[],[f3472])). 2.48/0.65 thf(f3472,plain,( 2.48/0.65 ($false = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(boolean_simplification,[],[f3470])). 2.48/0.65 thf(f3470,plain,( 2.48/0.65 ($false = ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & $true)) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(backward_demodulation,[],[f2584,f3461])). 2.48/0.65 thf(f3461,plain,( 2.48/0.65 ($true = (c @ spain @ paris)) | ~spl0_1), 2.48/0.65 inference(not_proxy_clausification,[],[f251])). 2.48/0.65 thf(f251,plain,( 2.48/0.65 ($false = (~ (c @ spain @ paris))) | ~spl0_1), 2.48/0.65 inference(avatar_component_clause,[],[f250])). 2.48/0.65 thf(f250,plain,( 2.48/0.65 spl0_1 <=> ($false = (~ (c @ spain @ paris)))), 2.48/0.65 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 2.48/0.65 thf(f3737,plain,( 2.48/0.65 ( ! [X1 : reg] : (($true = ((c @ X1 @ sK8) => (c @ X1 @ paris)))) ) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(beta_eta_normalization,[],[f3736])). 2.48/0.65 thf(f3736,plain,( 2.48/0.65 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ paris))) @ X1))) ) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(pi_clausification,[],[f3621])). 2.48/0.65 thf(f3923,plain,( 2.48/0.65 ($true = (~ (c @ sK20 @ paris))) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(boolean_simplification,[],[f3909])). 2.48/0.65 thf(f3909,plain,( 2.48/0.65 (((c @ sK20 @ paris) => $false) = $true) | (~spl0_1 | ~spl0_3)), 2.48/0.65 inference(superposition,[],[f523,f3852])). 2.48/0.65 thf(f3852,plain,( 2.48/0.65 ($false = (c @ sK20 @ france)) | (~spl0_1 | ~spl0_3)), 2.48/0.66 inference(trivial_inequality_removal,[],[f3851])). 2.48/0.66 thf(f3851,plain,( 2.48/0.66 ($false = (c @ sK20 @ france)) | ($true = $false) | (~spl0_1 | ~spl0_3)), 2.48/0.66 inference(boolean_simplification,[],[f3843])). 2.48/0.66 thf(f3843,plain,( 2.48/0.66 ($false = (c @ sK20 @ france)) | (((c @ sK20 @ sK8) => $true) = $false) | (~spl0_1 | ~spl0_3)), 2.48/0.66 inference(superposition,[],[f3831,f495])). 2.48/0.66 thf(f495,plain,( 2.48/0.66 ( ! [X0 : reg,X1 : reg] : (((c @ X1 @ X0) = $true) | ((c @ X1 @ X0) = $false)) )), 2.48/0.66 inference(boolean_simplification,[],[f481])). 2.48/0.66 thf(f481,plain,( 2.48/0.66 ( ! [X0 : reg,X1 : reg] : (($true = ($true => (c @ X1 @ X0))) | ((c @ X1 @ X0) = $false)) )), 2.48/0.66 inference(superposition,[],[f219,f220])). 2.48/0.66 thf(f220,plain,( 2.48/0.66 ( ! [X2 : reg,X1 : reg] : (($true = (c @ X1 @ X2)) | ($false = (c @ X2 @ X1))) )), 2.48/0.66 inference(binary_proxy_clausification,[],[f219])). 2.48/0.66 thf(f2556,plain,( 2.48/0.66 ~spl0_4), 2.48/0.66 inference(avatar_contradiction_clause,[],[f2555])). 2.48/0.66 thf(f2555,plain,( 2.48/0.66 $false | ~spl0_4), 2.48/0.66 inference(trivial_inequality_removal,[],[f2554])). 2.48/0.66 thf(f2554,plain,( 2.48/0.66 ($true = $false) | ~spl0_4), 2.48/0.66 inference(boolean_simplification,[],[f2553])). 2.48/0.66 thf(f2553,plain,( 2.48/0.66 ((~ $true) = $true) | ~spl0_4), 2.48/0.66 inference(forward_demodulation,[],[f2546,f2534])). 2.48/0.66 thf(f2534,plain,( 2.48/0.66 ( ! [X0 : $i > $o] : (((X0 @ sK3) = $true)) ) | ~spl0_4), 2.48/0.66 inference(boolean_simplification,[],[f2533])). 2.48/0.66 thf(f2533,plain,( 2.48/0.66 ( ! [X0 : $i > $o] : ((($false | (X0 @ sK3)) = $true)) ) | ~spl0_4), 2.48/0.66 inference(boolean_simplification,[],[f2528])). 2.48/0.66 thf(f2528,plain,( 2.48/0.66 ( ! [X0 : $i > $o] : (($true = ((~ $true) | (X0 @ sK3)))) ) | ~spl0_4), 2.48/0.66 inference(superposition,[],[f2519,f238])). 2.48/0.66 thf(f2519,plain,( 2.48/0.66 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = ((~ (a @ X1 @ X3)) | (X2 @ X3)))) ) | ~spl0_4), 2.48/0.66 inference(beta_eta_normalization,[],[f2518])). 2.48/0.66 thf(f2518,plain,( 2.48/0.66 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0))) @ X3) = $true)) ) | ~spl0_4), 2.48/0.66 inference(pi_clausification,[],[f2501])). 2.48/0.66 thf(f2501,plain,( 2.48/0.66 ( ! [X2 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true)) ) | ~spl0_4), 2.48/0.66 inference(trivial_inequality_removal,[],[f2500])). 2.48/0.66 thf(f2500,plain,( 2.48/0.66 ( ! [X2 : $i > $o,X1 : $i] : (($true = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true)) ) | ~spl0_4), 2.48/0.66 inference(boolean_simplification,[],[f2499])). 2.48/0.66 thf(f2499,plain,( 2.48/0.66 ( ! [X2 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true) | ($false = ($true | (X2 @ (sK23 @ X1 @ X2))))) ) | ~spl0_4), 2.48/0.66 inference(boolean_simplification,[],[f2498])). 2.48/0.66 thf(f2498,plain,( 2.48/0.66 ( ! [X2 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true) | (((~ $false) | (X2 @ (sK23 @ X1 @ X2))) = $false)) ) | ~spl0_4), 2.48/0.66 inference(forward_demodulation,[],[f2493,f2310])). 2.48/0.66 thf(f2310,plain,( 2.48/0.66 ( ! [X2 : $i,X1 : $i] : (($false = (fool @ X1 @ X2))) ) | ~spl0_4), 2.48/0.66 inference(not_proxy_clausification,[],[f282])). 2.48/0.66 thf(f282,plain,( 2.48/0.66 ( ! [X2 : $i,X1 : $i] : (($true = (~ (fool @ X1 @ X2)))) ) | ~spl0_4), 2.48/0.66 inference(avatar_component_clause,[],[f281])). 2.48/0.66 thf(f281,plain,( 2.48/0.66 spl0_4 <=> ! [X2,X1] : ($true = (~ (fool @ X1 @ X2)))), 2.48/0.66 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 2.48/0.66 thf(f2493,plain,( 2.48/0.66 ( ! [X2 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true) | ($false = ((~ (fool @ X1 @ (sK23 @ X1 @ X2))) | (X2 @ (sK23 @ X1 @ X2))))) )), 2.48/0.66 inference(beta_eta_normalization,[],[f2490])). 2.48/0.66 thf(f2490,plain,( 2.48/0.66 ( ! [X2 : $i > $o,X1 : $i] : (($false = ((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0))) @ (sK23 @ X1 @ X2))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true)) )), 2.48/0.66 inference(sigma_clausification,[],[f1054])). 2.48/0.66 thf(f1054,plain,( 2.48/0.66 ( ! [X2 : $i > $o,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0))))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true)) )), 2.48/0.66 inference(not_proxy_clausification,[],[f263])). 2.48/0.66 thf(f263,plain,( 2.48/0.66 ( ! [X2 : $i > $o,X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true)) )), 2.48/0.66 inference(binary_proxy_clausification,[],[f259])). 2.48/0.66 thf(f259,plain,( 2.48/0.66 ( ! [X2 : $i > $o,X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0))))) = $true)) )), 2.48/0.66 inference(beta_eta_normalization,[],[f258])). 2.48/0.66 thf(f258,plain,( 2.48/0.66 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ X1 @ Y1)) | (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (a @ X1 @ Y1)) | (Y0 @ Y1)))))) @ X2))) )), 2.48/0.66 inference(pi_clausification,[],[f247])). 2.48/0.66 thf(f247,plain,( 2.48/0.66 ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ X1 @ Y1)) | (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (a @ X1 @ Y1)) | (Y0 @ Y1))))))))) )), 2.48/0.66 inference(beta_eta_normalization,[],[f246])). 2.48/0.66 thf(f246,plain,( 2.48/0.66 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (fool @ Y0 @ Y2)) | (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (a @ Y0 @ Y2)) | (Y1 @ Y2)))))))) @ X1) = $true)) )), 2.48/0.66 inference(pi_clausification,[],[f209])). 2.48/0.66 thf(f209,plain,( 2.48/0.66 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (fool @ Y0 @ Y2)) | (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (a @ Y0 @ Y2)) | (Y1 @ Y2))))))))))), 2.48/0.66 inference(beta_eta_normalization,[],[f206])). 2.48/0.66 thf(f206,plain,( 2.48/0.66 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[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 > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ fool @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ a @ Y0))))))), 2.48/0.66 inference(definition_unfolding,[],[f158,f183,f170,f189,f168,f168])). 2.48/0.66 thf(f189,plain,( 2.48/0.66 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))), 2.48/0.66 inference(definition_unfolding,[],[f156,f186,f185])). 2.48/0.66 thf(f185,plain,( 2.48/0.66 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 2.48/0.66 inference(cnf_transformation,[],[f82])). 2.48/0.66 thf(f82,plain,( 2.48/0.66 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 2.48/0.66 inference(fool_elimination,[],[f81])). 2.48/0.66 thf(f81,plain,( 2.48/0.66 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)), 2.48/0.66 inference(rectify,[],[f3])). 2.48/0.66 thf(f3,axiom,( 2.48/0.66 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)), 2.48/0.66 file('/export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671',mnot)). 2.48/0.66 thf(f186,plain,( 2.48/0.66 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))), 2.48/0.66 inference(cnf_transformation,[],[f102])). 2.48/0.66 thf(f102,plain,( 2.48/0.66 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))), 2.48/0.66 inference(fool_elimination,[],[f101])). 2.48/0.66 thf(f101,plain,( 2.48/0.66 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))), 2.48/0.66 inference(rectify,[],[f4])). 2.48/0.66 thf(f4,axiom,( 2.48/0.66 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))), 2.48/0.66 file('/export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671',mor)). 2.48/0.66 thf(f156,plain,( 2.48/0.66 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 2.48/0.66 inference(cnf_transformation,[],[f77])). 2.48/0.66 thf(f77,plain,( 2.48/0.66 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 2.48/0.66 inference(fool_elimination,[],[f76])). 2.48/0.66 thf(f76,plain,( 2.48/0.66 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))), 2.48/0.66 inference(rectify,[],[f6])). 2.48/0.66 thf(f6,axiom,( 2.48/0.66 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))), 2.48/0.66 file('/export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671',mimplies)). 2.48/0.66 thf(f170,plain,( 2.48/0.66 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))), 2.48/0.66 inference(cnf_transformation,[],[f131])). 2.48/0.66 thf(f131,plain,( 2.48/0.66 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))), 2.48/0.66 inference(fool_elimination,[],[f130])). 2.48/0.66 thf(f130,plain,( 2.48/0.66 (mforall_prop = (^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))))), 2.48/0.66 inference(rectify,[],[f11])). 2.48/0.66 thf(f11,axiom,( 2.48/0.66 (mforall_prop = (^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))))), 2.48/0.66 file('/export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671',mforall_prop)). 2.48/0.66 thf(f158,plain,( 2.48/0.66 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ (mbox @ a @ Y0))))))), 2.48/0.66 inference(cnf_transformation,[],[f100])). 2.48/0.66 thf(f100,plain,( 2.48/0.66 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ (mbox @ a @ Y0))))))), 2.48/0.66 inference(fool_elimination,[],[f99])). 2.48/0.66 thf(f99,plain,( 2.48/0.66 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ fool @ X0) @ (mbox @ a @ X0)))))), 2.48/0.66 inference(rectify,[],[f48])). 2.48/0.66 thf(f48,axiom,( 2.48/0.66 (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mbox @ fool @ X3) @ (mbox @ a @ X3)))))), 2.48/0.66 file('/export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671',i_axiom_for_fool_a)). 2.48/0.66 thf(f2546,plain,( 2.48/0.66 ( ! [X3 : $i > $o] : (((~ (X3 @ sK3)) = $true)) ) | ~spl0_4), 2.48/0.66 inference(beta_eta_normalization,[],[f2541])). 2.48/0.66 thf(f2541,plain,( 2.48/0.66 ( ! [X3 : $i > $o] : (($true = ((^[Y0 : $i]: (~ (X3 @ Y0))) @ sK3))) ) | ~spl0_4), 2.48/0.66 inference(primitive_instantiation,[],[f2534])). 2.48/0.66 thf(f283,plain,( 2.48/0.66 spl0_3 | spl0_4), 2.48/0.66 inference(avatar_split_clause,[],[f276,f281,f278])). 2.48/0.66 thf(f276,plain,( 2.48/0.66 ( ! [X2 : $i,X1 : $i] : (($true = (~ (fool @ X1 @ X2))) | (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france)) = $true)) )), 2.48/0.66 inference(binary_proxy_clausification,[],[f275])). 2.48/0.66 thf(f275,plain,( 2.48/0.66 ( ! [X2 : $i,X1 : $i] : ((((~ (fool @ X1 @ X2)) | ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france))) = $true)) )), 2.48/0.66 inference(beta_eta_normalization,[],[f274])). 2.48/0.66 thf(f274,plain,( 2.48/0.66 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ spain @ france)))) @ X2) = $true)) )), 2.48/0.66 inference(pi_clausification,[],[f269])). 2.48/0.66 thf(f269,plain,( 2.48/0.66 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ spain @ france))))))) )), 2.48/0.66 inference(beta_eta_normalization,[],[f268])). 2.48/0.66 thf(f268,plain,( 2.48/0.66 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ spain @ france)))))) @ X1))) )), 2.48/0.66 inference(pi_clausification,[],[f212])). 2.48/0.66 thf(f212,plain,( 2.48/0.66 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ spain @ france))))))) = $true)), 2.48/0.66 inference(beta_eta_normalization,[],[f205])). 2.48/0.66 thf(f205,plain,( 2.48/0.66 ($true = ((^[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))))))))) @ fool @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((~ ((^[Y3 : reg]: ((^[Y4 : reg]: (?? @ reg @ (^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y3) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4))))))) @ Y1 @ Y2)) & (c @ Y1 @ Y2))))) @ spain @ france)))))), 2.48/0.66 inference(definition_unfolding,[],[f149,f183,f168,f200])). 2.48/0.66 thf(f149,plain,( 2.48/0.66 ($true = (mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))))), 2.48/0.66 inference(cnf_transformation,[],[f110])). 2.48/0.66 thf(f110,plain,( 2.48/0.66 ($true = (mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))))), 2.48/0.66 inference(fool_elimination,[],[f109])). 2.48/0.66 thf(f109,plain,( 2.48/0.66 (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))), 2.48/0.66 inference(rectify,[],[f44])). 2.48/0.66 thf(f44,axiom,( 2.48/0.66 (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))), 2.48/0.66 file('/export/starexec/sandbox/tmp/tmp.4EUWEjKwXb/Vampire---4.8_14671',ax2)). 2.48/0.66 thf(f255,plain,( 2.48/0.66 spl0_1 | spl0_2), 2.48/0.66 inference(avatar_split_clause,[],[f248,f253,f250])). 2.48/0.66 thf(f248,plain,( 2.48/0.66 ($false = (~ (c @ catalunya @ paris))) | ($false = (~ (c @ spain @ paris)))), 2.48/0.66 inference(binary_proxy_clausification,[],[f232])). 2.48/0.66 % SZS output end Proof for Vampire---4 2.48/0.66 % (14797)------------------------------ 2.48/0.66 % (14797)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.48/0.66 % (14797)Termination reason: Refutation 2.48/0.66 2.48/0.66 % (14797)Memory used [KB]: 7164 2.48/0.66 % (14797)Time elapsed: 0.251 s 2.48/0.66 % (14797)Instructions burned: 470 (million) 2.48/0.66 % (14797)------------------------------ 2.48/0.66 % (14797)------------------------------ 2.48/0.66 % (14778)Success in time 0.329 s 2.48/0.66 % Vampire---4.8 exiting 2.48/0.66 EOF