0.07/0.13 % Problem : Vampire---4.8_29795 : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.15/0.35 % Computer : n008.cluster.edu 0.15/0.35 % Model : x86_64 x86_64 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.35 % Memory : 8042.1875MB 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.35 % CPULimit : 1440 0.15/0.35 % WCLimit : 180 0.15/0.35 % DateTime : Mon Jul 3 12:57:19 EDT 2023 0.15/0.35 % CPUTime : 0.15/0.35 This is a THF_ problem 0.15/0.36 Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.j14YnjPUmz/Vampire---4.8_29795 -m 12000 -t 180 0.15/0.37 % (30014)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.15/0.38 % (30017)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.15/0.38 % (30020)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi) 0.15/0.38 % (30015)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi) 0.15/0.38 % (30019)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi) 0.15/0.38 % (30016)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi) 0.15/0.38 % (30020)Refutation not found, incomplete strategy 0.15/0.38 % (30020)------------------------------ 0.15/0.38 % (30020)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.38 % (30020)Termination reason: Refutation not found, incomplete strategy 0.15/0.38 0.15/0.38 0.15/0.38 % (30020)Memory used [KB]: 5500 0.15/0.38 % (30020)Time elapsed: 0.004 s 0.15/0.38 % (30020)Instructions burned: 2 (million) 0.15/0.38 % (30020)------------------------------ 0.15/0.38 % (30020)------------------------------ 0.15/0.38 % (30018)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi) 0.15/0.38 % (30013)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.15/0.38 % (30019)Instruction limit reached! 0.15/0.38 % (30019)------------------------------ 0.15/0.38 % (30019)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.38 % (30019)Termination reason: Unknown 0.15/0.38 % (30019)Termination phase: Saturation 0.15/0.38 0.15/0.38 % (30019)Memory used [KB]: 5500 0.15/0.38 % (30019)Time elapsed: 0.006 s 0.15/0.38 % (30019)Instructions burned: 4 (million) 0.15/0.38 % (30019)------------------------------ 0.15/0.38 % (30019)------------------------------ 0.15/0.39 % (30014)Instruction limit reached! 0.15/0.39 % (30014)------------------------------ 0.15/0.39 % (30014)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.39 % (30014)Termination reason: Unknown 0.15/0.39 % (30014)Termination phase: Saturation 0.15/0.39 0.15/0.39 % (30014)Memory used [KB]: 5756 0.15/0.39 % (30014)Time elapsed: 0.018 s 0.15/0.39 % (30014)Instructions burned: 37 (million) 0.15/0.39 % (30014)------------------------------ 0.15/0.39 % (30014)------------------------------ 0.15/0.39 % (30017)Instruction limit reached! 0.15/0.39 % (30017)------------------------------ 0.15/0.39 % (30017)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.39 % (30017)Termination reason: Unknown 0.15/0.39 % (30017)Termination phase: Saturation 0.15/0.39 0.15/0.39 % (30017)Memory used [KB]: 5628 0.15/0.39 % (30017)Time elapsed: 0.013 s 0.15/0.39 % (30017)Instructions burned: 17 (million) 0.15/0.39 % (30017)------------------------------ 0.15/0.39 % (30017)------------------------------ 0.15/0.39 % (30016)Refutation not found, incomplete strategy 0.15/0.39 % (30016)------------------------------ 0.15/0.39 % (30016)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.39 % (30016)Termination reason: Refutation not found, incomplete strategy 0.15/0.39 0.15/0.39 0.15/0.39 % (30016)Memory used [KB]: 5628 0.15/0.39 % (30016)Time elapsed: 0.017 s 0.15/0.39 % (30016)Instructions burned: 21 (million) 0.15/0.39 % (30016)------------------------------ 0.15/0.39 % (30016)------------------------------ 0.15/0.39 % (30028)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) 0.22/0.40 % (30032)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.22/0.40 % (30038)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) 0.22/0.40 % (30015)Instruction limit reached! 0.22/0.40 % (30015)------------------------------ 0.22/0.40 % (30015)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.40 % (30015)Termination reason: Unknown 0.22/0.40 % (30015)Termination phase: Saturation 0.22/0.40 0.22/0.40 % (30015)Memory used [KB]: 5628 0.22/0.40 % (30015)Time elapsed: 0.026 s 0.22/0.40 % (30015)Instructions burned: 34 (million) 0.22/0.40 % (30015)------------------------------ 0.22/0.40 % (30015)------------------------------ 0.22/0.40 % (30032)Instruction limit reached! 0.22/0.40 % (30032)------------------------------ 0.22/0.40 % (30032)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.40 % (30032)Termination reason: Unknown 0.22/0.40 % (30032)Termination phase: Saturation 0.22/0.40 0.22/0.40 % (30032)Memory used [KB]: 5500 0.22/0.40 % (30032)Time elapsed: 0.007 s 0.22/0.40 % (30032)Instructions burned: 7 (million) 0.22/0.40 % (30032)------------------------------ 0.22/0.40 % (30032)------------------------------ 0.22/0.40 % (30040)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) 0.22/0.41 % (30043)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) 0.22/0.41 % (30028)Instruction limit reached! 0.22/0.41 % (30028)------------------------------ 0.22/0.41 % (30028)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.41 % (30028)Termination reason: Unknown 0.22/0.41 % (30028)Termination phase: Saturation 0.22/0.41 0.22/0.41 % (30028)Memory used [KB]: 5628 0.22/0.41 % (30028)Time elapsed: 0.021 s 0.22/0.41 % (30028)Instructions burned: 21 (million) 0.22/0.41 % (30028)------------------------------ 0.22/0.41 % (30028)------------------------------ 0.22/0.41 % (30043)Refutation not found, incomplete strategy 0.22/0.41 % (30043)------------------------------ 0.22/0.41 % (30043)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.41 % (30043)Termination reason: Refutation not found, incomplete strategy 0.22/0.41 0.22/0.41 0.22/0.41 % (30043)Memory used [KB]: 5500 0.22/0.41 % (30043)Time elapsed: 0.008 s 0.22/0.41 % (30043)Instructions burned: 6 (million) 0.22/0.41 % (30043)------------------------------ 0.22/0.41 % (30043)------------------------------ 0.22/0.42 % (30047)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) 0.22/0.42 % (30048)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) 0.22/0.43 % (30018)Instruction limit reached! 0.22/0.43 % (30018)------------------------------ 0.22/0.43 % (30018)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.43 % (30018)Termination reason: Unknown 0.22/0.43 % (30018)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (30018)Memory used [KB]: 5884 0.22/0.43 % (30018)Time elapsed: 0.050 s 0.22/0.43 % (30018)Instructions burned: 75 (million) 0.22/0.43 % (30018)------------------------------ 0.22/0.43 % (30018)------------------------------ 0.22/0.43 % (30049)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.22/0.43 % (30051)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.22/0.44 % (30047)Refutation not found, incomplete strategy 0.22/0.44 % (30047)------------------------------ 0.22/0.44 % (30047)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.44 % (30047)Termination reason: Refutation not found, incomplete strategy 0.22/0.44 0.22/0.44 0.22/0.44 % (30047)Memory used [KB]: 5628 0.22/0.44 % (30047)Time elapsed: 0.025 s 0.22/0.44 % (30047)Instructions burned: 34 (million) 0.22/0.44 % (30047)------------------------------ 0.22/0.44 % (30047)------------------------------ 0.22/0.44 % (30051)Instruction limit reached! 0.22/0.44 % (30051)------------------------------ 0.22/0.44 % (30051)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.44 % (30051)Termination reason: Unknown 0.22/0.44 % (30051)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (30051)Memory used [KB]: 5628 0.22/0.44 % (30051)Time elapsed: 0.012 s 0.22/0.44 % (30051)Instructions burned: 14 (million) 0.22/0.44 % (30051)------------------------------ 0.22/0.44 % (30051)------------------------------ 0.22/0.44 % (30056)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1799ds/2Mi) 0.22/0.44 % (30056)Instruction limit reached! 0.22/0.44 % (30056)------------------------------ 0.22/0.44 % (30056)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.44 % (30056)Termination reason: Unknown 0.22/0.44 % (30056)Termination phase: Property scanning 0.22/0.44 0.22/0.44 % (30056)Memory used [KB]: 895 0.22/0.44 % (30056)Time elapsed: 0.003 s 0.22/0.44 % (30056)Instructions burned: 2 (million) 0.22/0.44 % (30056)------------------------------ 0.22/0.44 % (30056)------------------------------ 0.22/0.45 % (30013)Instruction limit reached! 0.22/0.45 % (30013)------------------------------ 0.22/0.45 % (30013)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.45 % (30013)Termination reason: Unknown 0.22/0.45 % (30013)Termination phase: Saturation 0.22/0.45 0.22/0.45 % (30013)Memory used [KB]: 5884 0.22/0.45 % (30013)Time elapsed: 0.072 s 0.22/0.45 % (30013)Instructions burned: 96 (million) 0.22/0.45 % (30013)------------------------------ 0.22/0.45 % (30013)------------------------------ 0.22/0.45 % (30040)Instruction limit reached! 0.22/0.45 % (30040)------------------------------ 0.22/0.45 % (30040)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.45 % (30040)Termination reason: Unknown 0.22/0.45 % (30040)Termination phase: Saturation 0.22/0.45 0.22/0.45 % (30040)Memory used [KB]: 5756 0.22/0.45 % (30040)Time elapsed: 0.048 s 0.22/0.45 % (30040)Instructions burned: 71 (million) 0.22/0.45 % (30040)------------------------------ 0.22/0.45 % (30040)------------------------------ 0.22/0.45 % (30062)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (1799ds/11Mi) 0.22/0.45 % (30061)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (1799ds/1041Mi) 0.22/0.46 % (30064)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (1799ds/140Mi) 0.22/0.46 % (30064)Refutation not found, incomplete strategy 0.22/0.46 % (30064)------------------------------ 0.22/0.46 % (30064)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.46 % (30064)Termination reason: Refutation not found, incomplete strategy 0.22/0.46 0.22/0.46 0.22/0.46 % (30064)Memory used [KB]: 5500 0.22/0.46 % (30064)Time elapsed: 0.006 s 0.22/0.46 % (30064)Instructions burned: 4 (million) 0.22/0.46 % (30064)------------------------------ 0.22/0.46 % (30064)------------------------------ 0.22/0.46 % (30062)Instruction limit reached! 0.22/0.46 % (30062)------------------------------ 0.22/0.46 % (30062)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.46 % (30062)Termination reason: Unknown 0.22/0.46 % (30062)Termination phase: Saturation 0.22/0.46 0.22/0.46 % (30062)Memory used [KB]: 5628 0.22/0.46 % (30062)Time elapsed: 0.010 s 0.22/0.46 % (30062)Instructions burned: 12 (million) 0.22/0.46 % (30062)------------------------------ 0.22/0.46 % (30062)------------------------------ 0.22/0.46 % (30069)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) 0.22/0.46 % (30071)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) 0.22/0.47 % (30071)Refutation not found, incomplete strategy 0.22/0.47 % (30071)------------------------------ 0.22/0.47 % (30071)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.47 % (30071)Termination reason: Refutation not found, incomplete strategy 0.22/0.47 0.22/0.47 0.22/0.47 % (30071)Memory used [KB]: 1023 0.22/0.47 % (30071)Time elapsed: 0.006 s 0.22/0.47 % (30071)Instructions burned: 8 (million) 0.22/0.47 % (30071)------------------------------ 0.22/0.47 % (30071)------------------------------ 0.22/0.47 % (30077)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 (1799ds/3Mi) 0.22/0.47 % (30049)Instruction limit reached! 0.22/0.47 % (30049)------------------------------ 0.22/0.47 % (30049)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.47 % (30049)Termination reason: Unknown 0.22/0.47 % (30049)Termination phase: Saturation 0.22/0.47 0.22/0.47 % (30049)Memory used [KB]: 5884 0.22/0.47 % (30049)Time elapsed: 0.045 s 0.22/0.47 % (30049)Instructions burned: 62 (million) 0.22/0.47 % (30049)------------------------------ 0.22/0.47 % (30049)------------------------------ 0.22/0.47 % (30077)Instruction limit reached! 0.22/0.47 % (30077)------------------------------ 0.22/0.47 % (30077)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.47 % (30077)Termination reason: Unknown 0.22/0.47 % (30077)Termination phase: Saturation 0.22/0.47 0.22/0.47 % (30077)Memory used [KB]: 5500 0.22/0.47 % (30077)Time elapsed: 0.003 s 0.22/0.47 % (30077)Instructions burned: 3 (million) 0.22/0.47 % (30077)------------------------------ 0.22/0.47 % (30077)------------------------------ 0.22/0.48 % (30076)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) 0.22/0.48 % (30069)Instruction limit reached! 0.22/0.48 % (30069)------------------------------ 0.22/0.48 % (30069)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.48 % (30069)Termination reason: Unknown 0.22/0.48 % (30069)Termination phase: Saturation 0.22/0.48 0.22/0.48 % (30069)Memory used [KB]: 5628 0.22/0.48 % (30069)Time elapsed: 0.016 s 0.22/0.48 % (30069)Instructions burned: 26 (million) 0.22/0.48 % (30069)------------------------------ 0.22/0.48 % (30069)------------------------------ 0.22/0.48 % (30076)Refutation not found, incomplete strategy 0.22/0.48 % (30076)------------------------------ 0.22/0.48 % (30076)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.48 % (30076)Termination reason: Refutation not found, incomplete strategy 0.22/0.48 0.22/0.48 0.22/0.48 % (30076)Memory used [KB]: 5500 0.22/0.48 % (30076)Time elapsed: 0.003 s 0.22/0.48 % (30076)Instructions burned: 2 (million) 0.22/0.48 % (30076)------------------------------ 0.22/0.48 % (30076)------------------------------ 0.22/0.48 % (30082)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 (1799ds/19Mi) 0.22/0.48 % (30082)Refutation not found, incomplete strategy 0.22/0.48 % (30082)------------------------------ 0.22/0.48 % (30082)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.48 % (30082)Termination reason: Refutation not found, incomplete strategy 0.22/0.48 0.22/0.48 0.22/0.48 % (30082)Memory used [KB]: 5500 0.22/0.48 % (30082)Time elapsed: 0.003 s 0.22/0.48 % (30082)Instructions burned: 4 (million) 0.22/0.48 % (30082)------------------------------ 0.22/0.48 % (30082)------------------------------ 0.22/0.48 % (30084)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on Vampire---4 for (1799ds/191Mi) 0.22/0.48 % (30048)Instruction limit reached! 0.22/0.48 % (30048)------------------------------ 0.22/0.48 % (30048)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.48 % (30048)Termination reason: Unknown 0.22/0.48 % (30048)Termination phase: Saturation 0.22/0.48 0.22/0.48 % (30048)Memory used [KB]: 6268 0.22/0.48 % (30048)Time elapsed: 0.068 s 0.22/0.48 % (30048)Instructions burned: 129 (million) 0.22/0.48 % (30048)------------------------------ 0.22/0.48 % (30048)------------------------------ 0.22/0.48 % (30083)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 (1799ds/44Mi) 0.22/0.49 % (30087)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi) 0.22/0.49 % (30087)Instruction limit reached! 0.22/0.49 % (30087)------------------------------ 0.22/0.49 % (30087)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.49 % (30087)Termination reason: Unknown 0.22/0.49 % (30087)Termination phase: Saturation 0.22/0.49 0.22/0.49 % (30087)Memory used [KB]: 1023 0.22/0.49 % (30087)Time elapsed: 0.002 s 0.22/0.49 % (30087)Instructions burned: 3 (million) 0.22/0.49 % (30087)------------------------------ 0.22/0.49 % (30087)------------------------------ 0.22/0.49 % (30088)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=238:si=on:rtra=on_0 on Vampire---4 for (1798ds/238Mi) 0.22/0.49 % (30085)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (1798ds/62Mi) 0.22/0.49 % (30086)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=105:si=on:rtra=on_0 on Vampire---4 for (1798ds/105Mi) 0.22/0.50 % (30089)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi) 0.22/0.50 % (30089)Instruction limit reached! 0.22/0.50 % (30089)------------------------------ 0.22/0.50 % (30089)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.50 % (30089)Termination reason: Unknown 0.22/0.50 % (30089)Termination phase: Saturation 0.22/0.50 0.22/0.50 % (30089)Memory used [KB]: 1023 0.22/0.50 % (30089)Time elapsed: 0.002 s 0.22/0.50 % (30089)Instructions burned: 3 (million) 0.22/0.50 % (30089)------------------------------ 0.22/0.50 % (30089)------------------------------ 0.22/0.50 % (30083)Instruction limit reached! 0.22/0.50 % (30083)------------------------------ 0.22/0.50 % (30083)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.50 % (30083)Termination reason: Unknown 0.22/0.50 % (30083)Termination phase: Saturation 0.22/0.50 0.22/0.50 % (30083)Memory used [KB]: 1279 0.22/0.50 % (30083)Time elapsed: 0.020 s 0.22/0.50 % (30083)Instructions burned: 45 (million) 0.22/0.50 % (30083)------------------------------ 0.22/0.50 % (30083)------------------------------ 0.22/0.51 % (30090)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) 0.22/0.51 % (30090)Instruction limit reached! 0.22/0.51 % (30090)------------------------------ 0.22/0.51 % (30090)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.51 % (30090)Termination reason: Unknown 0.22/0.51 % (30090)Termination phase: Saturation 0.22/0.51 0.22/0.51 % (30090)Memory used [KB]: 5500 0.22/0.51 % (30090)Time elapsed: 0.003 s 0.22/0.51 % (30090)Instructions burned: 6 (million) 0.22/0.51 % (30090)------------------------------ 0.22/0.51 % (30090)------------------------------ 0.22/0.51 % (30091)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) 0.22/0.52 % (30085)Instruction limit reached! 0.22/0.52 % (30085)------------------------------ 0.22/0.52 % (30085)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.52 % (30085)Termination reason: Unknown 0.22/0.52 % (30085)Termination phase: Saturation 0.22/0.52 0.22/0.52 % (30085)Memory used [KB]: 6012 0.22/0.52 % (30085)Time elapsed: 0.025 s 0.22/0.52 % (30085)Instructions burned: 63 (million) 0.22/0.52 % (30085)------------------------------ 0.22/0.52 % (30085)------------------------------ 0.22/0.52 % (30092)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) 0.22/0.52 % (30086)First to succeed. 0.22/0.52 % (30086)Refutation found. Thanks to Tanya! 0.22/0.52 % SZS status Theorem for Vampire---4 0.22/0.52 % SZS output start Proof for Vampire---4 0.22/0.52 thf(type_def_5, type, nat: $tType). 0.22/0.52 thf(type_def_7, type, set: $tType). 0.22/0.52 thf(func_def_0, type, nat: $tType). 0.22/0.52 thf(func_def_1, type, x: nat). 0.22/0.52 thf(func_def_2, type, y: nat). 0.22/0.52 thf(func_def_3, type, z: nat). 0.22/0.52 thf(func_def_4, type, pl: nat > nat > nat). 0.22/0.52 thf(func_def_5, type, set: $tType). 0.22/0.52 thf(func_def_6, type, esti: nat > set > $o). 0.22/0.52 thf(func_def_7, type, setof: (nat > $o) > set). 0.22/0.52 thf(func_def_8, type, n_1: nat). 0.22/0.52 thf(func_def_9, type, suc: nat > nat). 0.22/0.52 thf(func_def_21, type, sK1: set > nat). 0.22/0.52 thf(func_def_22, type, ph2: !>[X0: $tType]:(X0)). 0.22/0.52 thf(f471,plain,( 0.22/0.52 $false), 0.22/0.52 inference(avatar_sat_refutation,[],[f318,f359,f407,f434,f468])). 0.22/0.52 thf(f468,plain,( 0.22/0.52 ~spl0_12), 0.22/0.52 inference(avatar_contradiction_clause,[],[f467])). 0.22/0.52 thf(f467,plain,( 0.22/0.52 $false | ~spl0_12), 0.22/0.52 inference(trivial_inequality_removal,[],[f465])). 0.22/0.52 thf(f465,plain,( 0.22/0.52 ((pl @ x @ y) != (pl @ x @ y)) | ~spl0_12), 0.22/0.52 inference(superposition,[],[f454,f27])). 0.22/0.52 thf(f27,plain,( 0.22/0.52 ((pl @ x @ y) = (pl @ x @ z))), 0.22/0.52 inference(cnf_transformation,[],[f24])). 0.22/0.52 thf(f24,plain,( 0.22/0.52 ((pl @ x @ y) = (pl @ x @ z))), 0.22/0.52 inference(flattening,[],[f4])). 0.22/0.52 thf(f4,negated_conjecture,( 0.22/0.52 ~((pl @ x @ y) != (pl @ x @ z))), 0.22/0.52 inference(negated_conjecture,[],[f3])). 0.22/0.52 thf(f3,conjecture,( 0.22/0.52 ((pl @ x @ y) != (pl @ x @ z))), 0.22/0.52 file('/export/starexec/sandbox2/tmp/tmp.j14YnjPUmz/Vampire---4.8_29795',satz8)). 0.22/0.52 thf(f454,plain,( 0.22/0.52 ( ! [X0 : nat] : (((pl @ X0 @ z) != (pl @ X0 @ y))) ) | ~spl0_12), 0.22/0.52 inference(trivial_inequality_removal,[],[f436])). 0.22/0.52 thf(f436,plain,( 0.22/0.52 ( ! [X0 : nat] : (((pl @ X0 @ z) != (pl @ X0 @ y)) | ($false = $true)) ) | ~spl0_12), 0.22/0.52 inference(superposition,[],[f349,f55])). 0.22/0.52 thf(f55,plain,( 0.22/0.52 ( ! [X0 : nat] : (($false = (esti @ X0 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))) | ((pl @ X0 @ z) != (pl @ X0 @ y))) )), 0.22/0.52 inference(equality_proxy_clausification,[],[f54])). 0.22/0.52 thf(f54,plain,( 0.22/0.52 ( ! [X0 : nat] : (($false = (esti @ X0 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))) | (((pl @ X0 @ y) = (pl @ X0 @ z)) = $false)) )), 0.22/0.52 inference(not_proxy_clausification,[],[f53])). 0.22/0.52 thf(f53,plain,( 0.22/0.52 ( ! [X0 : nat] : (($false = (esti @ X0 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))) | ($true = (~ ((pl @ X0 @ y) = (pl @ X0 @ z))))) )), 0.22/0.52 inference(binary_proxy_clausification,[],[f43])). 0.22/0.52 thf(f43,plain,( 0.22/0.52 ( ! [X0 : nat] : ((((esti @ X0 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) => (~ ((pl @ X0 @ y) = (pl @ X0 @ z)))) = $true)) )), 0.22/0.52 inference(beta_eta_normalization,[],[f39])). 0.22/0.52 thf(f39,plain,( 0.22/0.52 ( ! [X0 : nat] : ((((^[Y0 : nat > $o]: ((esti @ X0 @ (setof @ Y0)) => (Y0 @ X0))) @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))) = $true)) )), 0.22/0.52 inference(heuristic_instantiation,[],[f37])). 0.22/0.52 thf(f37,plain,( 0.22/0.52 ( ! [X1 : nat] : (((!! @ (nat > $o) @ (^[Y0 : nat > $o]: ((esti @ X1 @ (setof @ Y0)) => (Y0 @ X1)))) = $true)) )), 0.22/0.52 inference(beta_eta_normalization,[],[f36])). 0.22/0.52 thf(f36,plain,( 0.22/0.52 ( ! [X1 : nat] : ((((^[Y0 : nat]: (!! @ (nat > $o) @ (^[Y1 : nat > $o]: ((esti @ Y0 @ (setof @ Y1)) => (Y1 @ Y0))))) @ X1) = $true)) )), 0.22/0.52 inference(pi_clausification,[],[f31])). 0.22/0.52 thf(f31,plain,( 0.22/0.52 ($true = (!! @ nat @ (^[Y0 : nat]: (!! @ (nat > $o) @ (^[Y1 : nat > $o]: ((esti @ Y0 @ (setof @ Y1)) => (Y1 @ Y0)))))))), 0.22/0.52 inference(cnf_transformation,[],[f22])). 0.22/0.52 thf(f22,plain,( 0.22/0.52 ($true = (!! @ nat @ (^[Y0 : nat]: (!! @ (nat > $o) @ (^[Y1 : nat > $o]: ((esti @ Y0 @ (setof @ Y1)) => (Y1 @ Y0)))))))), 0.22/0.52 inference(fool_elimination,[],[f21])). 0.22/0.52 thf(f21,plain,( 0.22/0.52 ! [X0 : nat > $o,X1 : nat] : ((esti @ X1 @ (setof @ X0)) => (X0 @ X1))), 0.22/0.52 inference(rectify,[],[f8])). 0.22/0.52 thf(f8,axiom,( 0.22/0.52 ! [X2 : nat > $o,X0 : nat] : ((esti @ X0 @ (setof @ X2)) => (X2 @ X0))), 0.22/0.52 file('/export/starexec/sandbox2/tmp/tmp.j14YnjPUmz/Vampire---4.8_29795',estie)). 0.22/0.52 thf(f349,plain,( 0.22/0.52 ( ! [X0 : nat] : (($true = (esti @ X0 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))))) ) | ~spl0_12), 0.22/0.52 inference(avatar_component_clause,[],[f348])). 0.22/0.52 thf(f348,plain,( 0.22/0.52 spl0_12 <=> ! [X0 : nat] : ($true = (esti @ X0 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))))), 0.22/0.52 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])). 0.22/0.52 thf(f434,plain,( 0.22/0.52 spl0_10 | ~spl0_11), 0.22/0.52 inference(avatar_contradiction_clause,[],[f433])). 0.22/0.52 thf(f433,plain,( 0.22/0.52 $false | (spl0_10 | ~spl0_11)), 0.22/0.52 inference(subsumption_resolution,[],[f432,f314])). 0.22/0.52 thf(f314,plain,( 0.22/0.52 ((pl @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) @ z) != (pl @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) @ y)) | spl0_10), 0.22/0.52 inference(avatar_component_clause,[],[f312])). 0.22/0.52 thf(f312,plain,( 0.22/0.52 spl0_10 <=> ((pl @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) @ z) = (pl @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) @ y))), 0.22/0.52 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])). 0.22/0.52 thf(f432,plain,( 0.22/0.52 ((pl @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) @ z) = (pl @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) @ y)) | ~spl0_11), 0.22/0.52 inference(equality_resolution,[],[f428])). 0.22/0.52 thf(f428,plain,( 0.22/0.52 ( ! [X0 : nat] : (((suc @ (pl @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) @ y)) != (suc @ X0)) | ((pl @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) @ z) = X0)) ) | ~spl0_11), 0.22/0.52 inference(superposition,[],[f97,f346])). 0.22/0.52 thf(f346,plain,( 0.22/0.52 ((suc @ (pl @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) @ y)) = (suc @ (pl @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) @ z))) | ~spl0_11), 0.22/0.52 inference(avatar_component_clause,[],[f344])). 0.22/0.52 thf(f344,plain,( 0.22/0.52 spl0_11 <=> ((suc @ (pl @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) @ y)) = (suc @ (pl @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) @ z)))), 0.22/0.52 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])). 0.22/0.52 thf(f97,plain,( 0.22/0.52 ( ! [X2 : nat,X1 : nat] : (((suc @ X1) != (suc @ X2)) | (X1 = X2)) )), 0.22/0.52 inference(equality_proxy_clausification,[],[f96])). 0.22/0.52 thf(f96,plain,( 0.22/0.52 ( ! [X2 : nat,X1 : nat] : (((suc @ X1) != (suc @ X2)) | ($true = (X2 = X1))) )), 0.22/0.52 inference(not_proxy_clausification,[],[f95])). 0.22/0.52 thf(f95,plain,( 0.22/0.52 ( ! [X2 : nat,X1 : nat] : (((suc @ X1) != (suc @ X2)) | ($false = (~ (X2 = X1)))) )), 0.22/0.52 inference(equality_proxy_clausification,[],[f94])). 0.22/0.52 thf(f94,plain,( 0.22/0.52 ( ! [X2 : nat,X1 : nat] : ((((suc @ X1) = (suc @ X2)) = $false) | ($false = (~ (X2 = X1)))) )), 0.22/0.52 inference(not_proxy_clausification,[],[f93])). 0.22/0.52 thf(f93,plain,( 0.22/0.52 ( ! [X2 : nat,X1 : nat] : (($true = (~ ((suc @ X1) = (suc @ X2)))) | ($false = (~ (X2 = X1)))) )), 0.22/0.52 inference(binary_proxy_clausification,[],[f92])). 0.22/0.52 thf(f92,plain,( 0.22/0.52 ( ! [X2 : nat,X1 : nat] : ((((~ (X2 = X1)) => (~ ((suc @ X1) = (suc @ X2)))) = $true)) )), 0.22/0.52 inference(beta_eta_normalization,[],[f91])). 0.22/0.52 thf(f91,plain,( 0.22/0.52 ( ! [X2 : nat,X1 : nat] : ((((^[Y0 : nat]: ((~ (Y0 = X1)) => (~ ((suc @ X1) = (suc @ Y0))))) @ X2) = $true)) )), 0.22/0.52 inference(pi_clausification,[],[f90])). 0.22/0.52 thf(f90,plain,( 0.22/0.52 ( ! [X1 : nat] : (((!! @ nat @ (^[Y0 : nat]: ((~ (Y0 = X1)) => (~ ((suc @ X1) = (suc @ Y0)))))) = $true)) )), 0.22/0.52 inference(beta_eta_normalization,[],[f89])). 0.22/0.52 thf(f89,plain,( 0.22/0.52 ( ! [X1 : nat] : (($true = ((^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((~ (Y1 = Y0)) => (~ ((suc @ Y0) = (suc @ Y1))))))) @ X1))) )), 0.22/0.52 inference(pi_clausification,[],[f32])). 0.22/0.52 thf(f32,plain,( 0.22/0.52 ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((~ (Y1 = Y0)) => (~ ((suc @ Y0) = (suc @ Y1)))))))) = $true)), 0.22/0.52 inference(cnf_transformation,[],[f20])). 0.22/0.52 thf(f20,plain,( 0.22/0.52 ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((~ (Y1 = Y0)) => (~ ((suc @ Y0) = (suc @ Y1)))))))) = $true)), 0.22/0.52 inference(fool_elimination,[],[f19])). 0.22/0.52 thf(f19,plain,( 0.22/0.52 ! [X0 : nat,X1 : nat] : ((X0 != X1) => ((suc @ X1) != (suc @ X0)))), 0.22/0.52 inference(rectify,[],[f6])). 0.22/0.52 thf(f6,axiom,( 0.22/0.52 ! [X3 : nat,X1 : nat] : ((X1 != X3) => ((suc @ X1) != (suc @ X3)))), 0.22/0.52 file('/export/starexec/sandbox2/tmp/tmp.j14YnjPUmz/Vampire---4.8_29795',satz1)). 0.22/0.52 thf(f407,plain,( 0.22/0.52 ~spl0_9), 0.22/0.52 inference(avatar_contradiction_clause,[],[f406])). 0.22/0.52 thf(f406,plain,( 0.22/0.52 $false | ~spl0_9), 0.22/0.52 inference(subsumption_resolution,[],[f405,f29])). 0.22/0.52 thf(f29,plain,( 0.22/0.52 (y != z)), 0.22/0.52 inference(cnf_transformation,[],[f23])). 0.22/0.52 thf(f23,plain,( 0.22/0.52 (y != z)), 0.22/0.52 inference(fool_elimination,[],[f5])). 0.22/0.52 thf(f5,axiom,( 0.22/0.52 (y != z)), 0.22/0.52 file('/export/starexec/sandbox2/tmp/tmp.j14YnjPUmz/Vampire---4.8_29795',n)). 0.22/0.52 thf(f405,plain,( 0.22/0.52 (y = z) | ~spl0_9), 0.22/0.52 inference(equality_resolution,[],[f402])). 0.22/0.52 thf(f402,plain,( 0.22/0.52 ( ! [X0 : nat] : (((suc @ y) != (suc @ X0)) | (z = X0)) ) | ~spl0_9), 0.22/0.52 inference(superposition,[],[f97,f393])). 0.22/0.52 thf(f393,plain,( 0.22/0.52 ((suc @ y) = (suc @ z)) | ~spl0_9), 0.22/0.52 inference(equality_proxy_clausification,[],[f392])). 0.22/0.52 thf(f392,plain,( 0.22/0.52 ($true = ((suc @ y) = (suc @ z))) | ~spl0_9), 0.22/0.52 inference(not_proxy_clausification,[],[f391])). 0.22/0.52 thf(f391,plain,( 0.22/0.52 ($false = (~ ((suc @ y) = (suc @ z)))) | ~spl0_9), 0.22/0.52 inference(forward_demodulation,[],[f390,f35])). 0.22/0.52 thf(f35,plain,( 0.22/0.52 ( ! [X1 : nat] : (((suc @ X1) = (pl @ n_1 @ X1))) )), 0.22/0.52 inference(equality_proxy_clausification,[],[f34])). 0.22/0.52 thf(f34,plain,( 0.22/0.52 ( ! [X1 : nat] : ((((pl @ n_1 @ X1) = (suc @ X1)) = $true)) )), 0.22/0.52 inference(beta_eta_normalization,[],[f33])). 0.22/0.52 thf(f33,plain,( 0.22/0.52 ( ! [X1 : nat] : ((((^[Y0 : nat]: ((pl @ n_1 @ Y0) = (suc @ Y0))) @ X1) = $true)) )), 0.22/0.52 inference(pi_clausification,[],[f28])). 0.22/0.52 thf(f28,plain,( 0.22/0.52 ((!! @ nat @ (^[Y0 : nat]: ((pl @ n_1 @ Y0) = (suc @ Y0)))) = $true)), 0.22/0.52 inference(cnf_transformation,[],[f12])). 0.22/0.52 thf(f12,plain,( 0.22/0.52 ((!! @ nat @ (^[Y0 : nat]: ((pl @ n_1 @ Y0) = (suc @ Y0)))) = $true)), 0.22/0.52 inference(fool_elimination,[],[f11])). 0.22/0.52 thf(f11,plain,( 0.22/0.52 ! [X0 : nat] : ((pl @ n_1 @ X0) = (suc @ X0))), 0.22/0.52 inference(rectify,[],[f7])). 0.22/0.52 thf(f7,axiom,( 0.22/0.52 ! [X1 : nat] : ((suc @ X1) = (pl @ n_1 @ X1))), 0.22/0.52 file('/export/starexec/sandbox2/tmp/tmp.j14YnjPUmz/Vampire---4.8_29795',satz4g)). 0.22/0.52 thf(f390,plain,( 0.22/0.52 ((~ ((suc @ y) = (pl @ n_1 @ z))) = $false) | ~spl0_9), 0.22/0.52 inference(forward_demodulation,[],[f389,f35])). 0.22/0.52 thf(f389,plain,( 0.22/0.52 ((~ ((pl @ n_1 @ y) = (pl @ n_1 @ z))) = $false) | ~spl0_9), 0.22/0.52 inference(beta_eta_normalization,[],[f388])). 0.22/0.52 thf(f388,plain,( 0.22/0.52 ($false = ((^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))) @ n_1)) | ~spl0_9), 0.22/0.52 inference(trivial_inequality_removal,[],[f382])). 0.22/0.52 thf(f382,plain,( 0.22/0.52 ($false = ((^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))) @ n_1)) | ($false = $true) | ~spl0_9), 0.22/0.52 inference(superposition,[],[f83,f310])). 0.22/0.52 thf(f310,plain,( 0.22/0.52 ($false = (esti @ n_1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))) | ~spl0_9), 0.22/0.52 inference(avatar_component_clause,[],[f308])). 0.22/0.52 thf(f308,plain,( 0.22/0.52 spl0_9 <=> ($false = (esti @ n_1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))))), 0.22/0.52 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])). 0.22/0.52 thf(f83,plain,( 0.22/0.52 ( ! [X2 : nat,X1 : nat > $o] : (((esti @ X2 @ (setof @ X1)) = $true) | ((X1 @ X2) = $false)) )), 0.22/0.52 inference(binary_proxy_clausification,[],[f82])). 0.22/0.52 thf(f82,plain,( 0.22/0.52 ( ! [X2 : nat,X1 : nat > $o] : (($true = ((X1 @ X2) => (esti @ X2 @ (setof @ X1))))) )), 0.22/0.52 inference(beta_eta_normalization,[],[f81])). 0.22/0.52 thf(f81,plain,( 0.22/0.52 ( ! [X2 : nat,X1 : nat > $o] : (($true = ((^[Y0 : nat]: ((X1 @ Y0) => (esti @ Y0 @ (setof @ X1)))) @ X2))) )), 0.22/0.52 inference(pi_clausification,[],[f67])). 0.22/0.52 thf(f67,plain,( 0.22/0.52 ( ! [X1 : nat > $o] : (((!! @ nat @ (^[Y0 : nat]: ((X1 @ Y0) => (esti @ Y0 @ (setof @ X1))))) = $true)) )), 0.22/0.52 inference(beta_eta_normalization,[],[f65])). 0.22/0.52 thf(f65,plain,( 0.22/0.52 ( ! [X1 : nat > $o] : ((((^[Y0 : nat > $o]: (!! @ nat @ (^[Y1 : nat]: ((Y0 @ Y1) => (esti @ Y1 @ (setof @ Y0)))))) @ X1) = $true)) )), 0.22/0.52 inference(pi_clausification,[],[f30])). 0.22/0.52 thf(f30,plain,( 0.22/0.52 ((!! @ (nat > $o) @ (^[Y0 : nat > $o]: (!! @ nat @ (^[Y1 : nat]: ((Y0 @ Y1) => (esti @ Y1 @ (setof @ Y0))))))) = $true)), 0.22/0.52 inference(cnf_transformation,[],[f14])). 0.22/0.52 thf(f14,plain,( 0.22/0.52 ((!! @ (nat > $o) @ (^[Y0 : nat > $o]: (!! @ nat @ (^[Y1 : nat]: ((Y0 @ Y1) => (esti @ Y1 @ (setof @ Y0))))))) = $true)), 0.22/0.52 inference(fool_elimination,[],[f13])). 0.22/0.52 thf(f13,plain,( 0.22/0.52 ! [X0 : nat,X1 : nat > $o] : ((X1 @ X0) => (esti @ X0 @ (setof @ X1)))), 0.22/0.52 inference(rectify,[],[f2])). 0.22/0.52 thf(f2,axiom,( 0.22/0.52 ! [X0 : nat,X2 : nat > $o] : ((X2 @ X0) => (esti @ X0 @ (setof @ X2)))), 0.22/0.52 file('/export/starexec/sandbox2/tmp/tmp.j14YnjPUmz/Vampire---4.8_29795',estii)). 0.22/0.52 thf(f359,plain,( 0.22/0.52 spl0_9 | spl0_11 | spl0_12), 0.22/0.52 inference(avatar_split_clause,[],[f358,f348,f344,f308])). 0.22/0.52 thf(f358,plain,( 0.22/0.52 ( ! [X0 : nat] : (((suc @ (pl @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) @ y)) = (suc @ (pl @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) @ z))) | ($false = (esti @ n_1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))) | ($true = (esti @ X0 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))))) )), 0.22/0.52 inference(forward_demodulation,[],[f357,f61])). 0.22/0.52 thf(f61,plain,( 0.22/0.52 ( ! [X2 : nat,X1 : nat] : (((suc @ (pl @ X1 @ X2)) = (pl @ (suc @ X1) @ X2))) )), 0.22/0.52 inference(equality_proxy_clausification,[],[f60])). 0.22/0.52 thf(f60,plain,( 0.22/0.52 ( ! [X2 : nat,X1 : nat] : (($true = ((suc @ (pl @ X1 @ X2)) = (pl @ (suc @ X1) @ X2)))) )), 0.22/0.52 inference(beta_eta_normalization,[],[f59])). 0.22/0.52 thf(f59,plain,( 0.22/0.52 ( ! [X2 : nat,X1 : nat] : ((((^[Y0 : nat]: ((suc @ (pl @ X1 @ Y0)) = (pl @ (suc @ X1) @ Y0))) @ X2) = $true)) )), 0.22/0.52 inference(pi_clausification,[],[f58])). 0.22/0.52 thf(f58,plain,( 0.22/0.52 ( ! [X1 : nat] : (($true = (!! @ nat @ (^[Y0 : nat]: ((suc @ (pl @ X1 @ Y0)) = (pl @ (suc @ X1) @ Y0)))))) )), 0.22/0.52 inference(beta_eta_normalization,[],[f57])). 0.22/0.52 thf(f57,plain,( 0.22/0.52 ( ! [X1 : nat] : ((((^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((suc @ (pl @ Y0 @ Y1)) = (pl @ (suc @ Y0) @ Y1))))) @ X1) = $true)) )), 0.22/0.52 inference(pi_clausification,[],[f25])). 0.22/0.52 thf(f25,plain,( 0.22/0.52 ($true = (!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((suc @ (pl @ Y0 @ Y1)) = (pl @ (suc @ Y0) @ Y1)))))))), 0.22/0.52 inference(cnf_transformation,[],[f18])). 0.22/0.52 thf(f18,plain,( 0.22/0.52 ($true = (!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((suc @ (pl @ Y0 @ Y1)) = (pl @ (suc @ Y0) @ Y1)))))))), 0.22/0.52 inference(fool_elimination,[],[f17])). 0.22/0.52 thf(f17,plain,( 0.22/0.52 ! [X0 : nat,X1 : nat] : ((suc @ (pl @ X1 @ X0)) = (pl @ (suc @ X1) @ X0))), 0.22/0.52 inference(rectify,[],[f9])). 0.22/0.52 thf(f9,axiom,( 0.22/0.52 ! [X3 : nat,X1 : nat] : ((suc @ (pl @ X1 @ X3)) = (pl @ (suc @ X1) @ X3))), 0.22/0.52 file('/export/starexec/sandbox2/tmp/tmp.j14YnjPUmz/Vampire---4.8_29795',satz4h)). 0.22/0.52 thf(f357,plain,( 0.22/0.52 ( ! [X0 : nat] : (($false = (esti @ n_1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))) | ((pl @ (suc @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))) @ y) = (suc @ (pl @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) @ z))) | ($true = (esti @ X0 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))))) )), 0.22/0.52 inference(forward_demodulation,[],[f331,f61])). 0.22/0.52 thf(f331,plain,( 0.22/0.52 ( ! [X0 : nat] : (($true = (esti @ X0 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))) | ($false = (esti @ n_1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))) | ((pl @ (suc @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))) @ y) = (pl @ (suc @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))) @ z))) )), 0.22/0.52 inference(trivial_inequality_removal,[],[f323])). 0.22/0.52 thf(f323,plain,( 0.22/0.52 ( ! [X0 : nat] : (((pl @ (suc @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))) @ y) = (pl @ (suc @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))) @ z)) | ($true = (esti @ X0 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))) | ($false = $true) | ($false = (esti @ n_1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))))) )), 0.22/0.52 inference(superposition,[],[f88,f106])). 0.22/0.52 thf(f106,plain,( 0.22/0.52 ( ! [X2 : nat,X1 : set] : (($false = (esti @ (suc @ (sK1 @ X1)) @ X1)) | ($false = (esti @ n_1 @ X1)) | ((esti @ X2 @ X1) = $true)) )), 0.22/0.52 inference(binary_proxy_clausification,[],[f105])). 0.22/0.52 thf(f105,plain,( 0.22/0.52 ( ! [X2 : nat,X1 : set] : (($false = (esti @ n_1 @ X1)) | ($false = ((esti @ (sK1 @ X1) @ X1) => (esti @ (suc @ (sK1 @ X1)) @ X1))) | ((esti @ X2 @ X1) = $true)) )), 0.22/0.52 inference(beta_eta_normalization,[],[f104])). 0.22/0.52 thf(f104,plain,( 0.22/0.52 ( ! [X2 : nat,X1 : set] : (($false = (esti @ n_1 @ X1)) | ($false = ((^[Y0 : nat]: ((esti @ Y0 @ X1) => (esti @ (suc @ Y0) @ X1))) @ (sK1 @ X1))) | ((esti @ X2 @ X1) = $true)) )), 0.22/0.52 inference(sigma_clausification,[],[f103])). 0.22/0.52 thf(f103,plain,( 0.22/0.52 ( ! [X2 : nat,X1 : set] : (((!! @ nat @ (^[Y0 : nat]: ((esti @ Y0 @ X1) => (esti @ (suc @ Y0) @ X1)))) = $false) | ((esti @ X2 @ X1) = $true) | ($false = (esti @ n_1 @ X1))) )), 0.22/0.52 inference(beta_eta_normalization,[],[f102])). 0.22/0.52 thf(f102,plain,( 0.22/0.52 ( ! [X2 : nat,X1 : set] : (($false = (esti @ n_1 @ X1)) | ((!! @ nat @ (^[Y0 : nat]: ((esti @ Y0 @ X1) => (esti @ (suc @ Y0) @ X1)))) = $false) | (((^[Y0 : nat]: (esti @ Y0 @ X1)) @ X2) = $true)) )), 0.22/0.52 inference(pi_clausification,[],[f101])). 0.22/0.52 thf(f101,plain,( 0.22/0.52 ( ! [X1 : set] : (((!! @ nat @ (^[Y0 : nat]: (esti @ Y0 @ X1))) = $true) | ((!! @ nat @ (^[Y0 : nat]: ((esti @ Y0 @ X1) => (esti @ (suc @ Y0) @ X1)))) = $false) | ($false = (esti @ n_1 @ X1))) )), 0.22/0.52 inference(binary_proxy_clausification,[],[f100])). 0.22/0.52 thf(f100,plain,( 0.22/0.52 ( ! [X1 : set] : (($true = ((!! @ nat @ (^[Y0 : nat]: ((esti @ Y0 @ X1) => (esti @ (suc @ Y0) @ X1)))) => (!! @ nat @ (^[Y0 : nat]: (esti @ Y0 @ X1))))) | ($false = (esti @ n_1 @ X1))) )), 0.22/0.52 inference(binary_proxy_clausification,[],[f99])). 0.22/0.52 thf(f99,plain,( 0.22/0.52 ( ! [X1 : set] : ((((esti @ n_1 @ X1) => ((!! @ nat @ (^[Y0 : nat]: ((esti @ Y0 @ X1) => (esti @ (suc @ Y0) @ X1)))) => (!! @ nat @ (^[Y0 : nat]: (esti @ Y0 @ X1))))) = $true)) )), 0.22/0.52 inference(beta_eta_normalization,[],[f98])). 0.22/0.52 thf(f98,plain,( 0.22/0.52 ( ! [X1 : set] : (($true = ((^[Y0 : set]: ((esti @ n_1 @ Y0) => ((!! @ nat @ (^[Y1 : nat]: ((esti @ Y1 @ Y0) => (esti @ (suc @ Y1) @ Y0)))) => (!! @ nat @ (^[Y1 : nat]: (esti @ Y1 @ Y0)))))) @ X1))) )), 0.22/0.52 inference(pi_clausification,[],[f26])). 0.22/0.52 thf(f26,plain,( 0.22/0.52 ($true = (!! @ set @ (^[Y0 : set]: ((esti @ n_1 @ Y0) => ((!! @ nat @ (^[Y1 : nat]: ((esti @ Y1 @ Y0) => (esti @ (suc @ Y1) @ Y0)))) => (!! @ nat @ (^[Y1 : nat]: (esti @ Y1 @ Y0))))))))), 0.22/0.52 inference(cnf_transformation,[],[f16])). 0.22/0.52 thf(f16,plain,( 0.22/0.52 ($true = (!! @ set @ (^[Y0 : set]: ((esti @ n_1 @ Y0) => ((!! @ nat @ (^[Y1 : nat]: ((esti @ Y1 @ Y0) => (esti @ (suc @ Y1) @ Y0)))) => (!! @ nat @ (^[Y1 : nat]: (esti @ Y1 @ Y0))))))))), 0.22/0.52 inference(fool_elimination,[],[f15])). 0.22/0.52 thf(f15,plain,( 0.22/0.52 ! [X0 : set] : ((esti @ n_1 @ X0) => (! [X1 : nat] : ((esti @ X1 @ X0) => (esti @ (suc @ X1) @ X0)) => ! [X2 : nat] : (esti @ X2 @ X0)))), 0.22/0.52 inference(rectify,[],[f1])). 0.22/0.52 thf(f1,axiom,( 0.22/0.52 ! [X0 : set] : ((esti @ n_1 @ X0) => (! [X1 : nat] : ((esti @ X1 @ X0) => (esti @ (suc @ X1) @ X0)) => ! [X1 : nat] : (esti @ X1 @ X0)))), 0.22/0.52 file('/export/starexec/sandbox2/tmp/tmp.j14YnjPUmz/Vampire---4.8_29795',ax5)). 0.22/0.52 thf(f88,plain,( 0.22/0.52 ( ! [X1 : nat] : (($true = (esti @ X1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))) | ((pl @ X1 @ z) = (pl @ X1 @ y))) )), 0.22/0.52 inference(equality_proxy_clausification,[],[f87])). 0.22/0.52 thf(f87,plain,( 0.22/0.52 ( ! [X1 : nat] : (($true = ((pl @ X1 @ y) = (pl @ X1 @ z))) | ($true = (esti @ X1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))))) )), 0.22/0.52 inference(not_proxy_clausification,[],[f86])). 0.22/0.52 thf(f86,plain,( 0.22/0.52 ( ! [X1 : nat] : (($true = (esti @ X1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))) | ($false = (~ ((pl @ X1 @ y) = (pl @ X1 @ z))))) )), 0.22/0.52 inference(binary_proxy_clausification,[],[f85])). 0.22/0.52 thf(f85,plain,( 0.22/0.52 ( ! [X1 : nat] : (($true = ((~ ((pl @ X1 @ y) = (pl @ X1 @ z))) => (esti @ X1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))))) )), 0.22/0.52 inference(beta_eta_normalization,[],[f84])). 0.22/0.52 thf(f84,plain,( 0.22/0.52 ( ! [X1 : nat] : (($true = ((^[Y0 : nat]: ((~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))) => (esti @ Y0 @ (setof @ (^[Y1 : nat]: (~ ((pl @ Y1 @ y) = (pl @ Y1 @ z)))))))) @ X1))) )), 0.22/0.52 inference(pi_clausification,[],[f66])). 0.22/0.52 thf(f66,plain,( 0.22/0.52 ((!! @ nat @ (^[Y0 : nat]: ((~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))) => (esti @ Y0 @ (setof @ (^[Y1 : nat]: (~ ((pl @ Y1 @ y) = (pl @ Y1 @ z))))))))) = $true)), 0.22/0.52 inference(beta_eta_normalization,[],[f63])). 0.22/0.52 thf(f63,plain,( 0.22/0.52 ($true = ((^[Y0 : nat > $o]: (!! @ nat @ (^[Y1 : nat]: ((Y0 @ Y1) => (esti @ Y1 @ (setof @ Y0)))))) @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))), 0.22/0.52 inference(heuristic_instantiation,[],[f30])). 0.22/0.52 thf(f318,plain,( 0.22/0.52 ~spl0_10 | spl0_9), 0.22/0.52 inference(avatar_split_clause,[],[f303,f308,f312])). 0.22/0.52 thf(f303,plain,( 0.22/0.52 ($false = (esti @ n_1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))) | ((pl @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) @ z) != (pl @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) @ y))), 0.22/0.52 inference(trivial_inequality_removal,[],[f298])). 0.22/0.52 thf(f298,plain,( 0.22/0.52 ((pl @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) @ z) != (pl @ (sK1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z)))))) @ y)) | ($false = (esti @ n_1 @ (setof @ (^[Y0 : nat]: (~ ((pl @ Y0 @ y) = (pl @ Y0 @ z))))))) | ($false = $true)), 0.22/0.52 inference(superposition,[],[f55,f108])). 0.22/0.52 thf(f108,plain,( 0.22/0.52 ( ! [X0 : set] : (((esti @ (sK1 @ X0) @ X0) = $true) | ((esti @ n_1 @ X0) = $false)) )), 0.22/0.52 inference(condensation,[],[f107])). 0.22/0.52 thf(f107,plain,( 0.22/0.52 ( ! [X2 : nat,X1 : set] : (($false = (esti @ n_1 @ X1)) | ((esti @ X2 @ X1) = $true) | ($true = (esti @ (sK1 @ X1) @ X1))) )), 0.22/0.52 inference(binary_proxy_clausification,[],[f105])). 0.22/0.52 % SZS output end Proof for Vampire---4 0.22/0.52 % (30086)------------------------------ 0.22/0.52 % (30086)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.52 % (30086)Termination reason: Refutation 0.22/0.52 0.22/0.52 % (30086)Memory used [KB]: 5756 0.22/0.52 % (30086)Time elapsed: 0.029 s 0.22/0.52 % (30086)Instructions burned: 68 (million) 0.22/0.52 % (30086)------------------------------ 0.22/0.52 % (30086)------------------------------ 0.22/0.52 % (30010)Success in time 0.143 s 0.22/0.52 % Vampire---4.8 exiting 0.22/0.53 EOF