0.10/0.25 % Problem : Vampire---4.8_24757 : TPTP v0.0.0. Released v0.0.0. 0.10/0.27 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.13/0.48 % Computer : n001.cluster.edu 0.13/0.48 % Model : x86_64 x86_64 0.13/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.48 % Memory : 8042.1875MB 0.13/0.48 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.48 % CPULimit : 1440 0.13/0.48 % WCLimit : 180 0.13/0.48 % DateTime : Mon Jul 3 13:16:30 EDT 2023 0.13/0.48 % CPUTime : 0.13/0.48 This is a THF_ problem 0.13/0.49 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.LbwRzK1Wdb/Vampire---4.8_24757 -m 12000 -t 180 0.13/0.50 % (24907)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) 0.13/0.51 % (24904)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) 0.13/0.51 % (24906)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.13/0.51 % (24905)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) 0.13/0.51 % (24902)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.13/0.51 % (24908)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) 0.13/0.51 % (24909)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) 0.13/0.51 % (24908)Instruction limit reached! 0.13/0.51 % (24908)------------------------------ 0.13/0.51 % (24908)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.13/0.51 % (24908)Termination reason: Unknown 0.13/0.51 % (24908)Termination phase: Saturation 0.13/0.51 0.13/0.51 % (24908)Memory used [KB]: 5500 0.13/0.51 % (24908)Time elapsed: 0.006 s 0.13/0.51 % (24908)Instructions burned: 5 (million) 0.13/0.51 % (24908)------------------------------ 0.13/0.51 % (24908)------------------------------ 0.13/0.52 % (24906)Instruction limit reached! 0.13/0.52 % (24906)------------------------------ 0.13/0.52 % (24906)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.13/0.52 % (24906)Termination reason: Unknown 0.13/0.52 % (24906)Termination phase: Saturation 0.13/0.52 0.13/0.52 % (24906)Memory used [KB]: 5628 0.13/0.52 % (24906)Time elapsed: 0.014 s 0.13/0.52 % (24906)Instructions burned: 18 (million) 0.13/0.52 % (24906)------------------------------ 0.13/0.52 % (24906)------------------------------ 0.13/0.52 % (24903)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.13/0.52 % (24905)Refutation not found, incomplete strategy 0.13/0.52 % (24905)------------------------------ 0.13/0.52 % (24905)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.13/0.52 % (24905)Termination reason: Refutation not found, incomplete strategy 0.13/0.52 0.13/0.52 0.13/0.52 % (24905)Memory used [KB]: 5628 0.13/0.52 % (24905)Time elapsed: 0.020 s 0.13/0.52 % (24905)Instructions burned: 28 (million) 0.13/0.52 % (24905)------------------------------ 0.13/0.52 % (24905)------------------------------ 0.13/0.52 % (24910)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) 0.33/0.53 % (24904)Instruction limit reached! 0.33/0.53 % (24904)------------------------------ 0.33/0.53 % (24904)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.33/0.53 % (24904)Termination reason: Unknown 0.33/0.53 % (24904)Termination phase: Saturation 0.33/0.53 0.33/0.53 % (24904)Memory used [KB]: 5628 0.33/0.53 % (24904)Time elapsed: 0.023 s 0.33/0.53 % (24904)Instructions burned: 34 (million) 0.33/0.53 % (24904)------------------------------ 0.33/0.53 % (24904)------------------------------ 0.33/0.53 % (24909)Refutation not found, incomplete strategy 0.33/0.53 % (24909)------------------------------ 0.33/0.53 % (24909)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.33/0.53 % (24909)Termination reason: Refutation not found, incomplete strategy 0.33/0.53 0.33/0.53 0.33/0.53 % (24909)Memory used [KB]: 5756 0.33/0.53 % (24909)Time elapsed: 0.028 s 0.33/0.53 % (24909)Instructions burned: 40 (million) 0.33/0.53 % (24909)------------------------------ 0.33/0.53 % (24909)------------------------------ 0.33/0.53 % (24911)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.33/0.54 % (24911)Instruction limit reached! 0.33/0.54 % (24911)------------------------------ 0.33/0.54 % (24911)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.33/0.54 % (24911)Termination reason: Unknown 0.33/0.54 % (24911)Termination phase: Saturation 0.33/0.54 0.33/0.54 % (24911)Memory used [KB]: 5500 0.33/0.54 % (24911)Time elapsed: 0.007 s 0.33/0.54 % (24911)Instructions burned: 7 (million) 0.33/0.54 % (24911)------------------------------ 0.33/0.54 % (24911)------------------------------ 0.33/0.54 % (24907)Instruction limit reached! 0.33/0.54 % (24907)------------------------------ 0.33/0.54 % (24907)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.33/0.54 % (24910)Instruction limit reached! 0.33/0.54 % (24910)------------------------------ 0.33/0.54 % (24910)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.33/0.54 % (24910)Termination reason: Unknown 0.33/0.54 % (24910)Termination phase: Saturation 0.33/0.54 0.33/0.54 % (24910)Memory used [KB]: 5628 0.33/0.54 % (24910)Time elapsed: 0.016 s 0.33/0.54 % (24910)Instructions burned: 22 (million) 0.33/0.54 % (24910)------------------------------ 0.33/0.54 % (24910)------------------------------ 0.33/0.54 % (24907)Termination reason: Unknown 0.33/0.54 % (24907)Termination phase: Saturation 0.33/0.54 0.33/0.54 % (24907)Memory used [KB]: 5756 0.33/0.54 % (24907)Time elapsed: 0.037 s 0.33/0.54 % (24907)Instructions burned: 74 (million) 0.33/0.54 % (24907)------------------------------ 0.33/0.54 % (24907)------------------------------ 0.33/0.54 % (24912)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) 0.33/0.54 % (24913)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) 0.52/0.55 % (24914)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) 0.52/0.55 % (24903)Instruction limit reached! 0.52/0.55 % (24903)------------------------------ 0.52/0.55 % (24903)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.52/0.55 % (24903)Termination reason: Unknown 0.52/0.55 % (24903)Termination phase: Saturation 0.52/0.55 0.52/0.55 % (24903)Memory used [KB]: 5756 0.52/0.55 % (24903)Time elapsed: 0.046 s 0.52/0.55 % (24903)Instructions burned: 36 (million) 0.52/0.55 % (24903)------------------------------ 0.52/0.55 % (24903)------------------------------ 0.52/0.55 % (24917)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.52/0.55 % (24915)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) 0.52/0.55 % (24914)Instruction limit reached! 0.52/0.55 % (24914)------------------------------ 0.52/0.55 % (24914)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.52/0.55 % (24914)Termination reason: Unknown 0.52/0.55 % (24914)Termination phase: Saturation 0.52/0.55 0.52/0.55 % (24914)Memory used [KB]: 5500 0.52/0.55 % (24914)Time elapsed: 0.008 s 0.52/0.55 % (24916)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) 0.52/0.55 % (24914)Instructions burned: 9 (million) 0.52/0.55 % (24914)------------------------------ 0.52/0.55 % (24914)------------------------------ 0.52/0.56 % (24902)Instruction limit reached! 0.52/0.56 % (24902)------------------------------ 0.52/0.56 % (24902)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.52/0.56 % (24902)Termination reason: Unknown 0.52/0.56 % (24902)Termination phase: Saturation 0.52/0.56 0.52/0.56 % (24902)Memory used [KB]: 5756 0.52/0.56 % (24902)Time elapsed: 0.057 s 0.52/0.56 % (24902)Instructions burned: 96 (million) 0.52/0.56 % (24902)------------------------------ 0.52/0.56 % (24902)------------------------------ 0.52/0.56 % (24918)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.52/0.57 % (24919)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) 0.52/0.57 % (24919)Instruction limit reached! 0.52/0.57 % (24919)------------------------------ 0.52/0.57 % (24919)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.52/0.57 % (24919)Termination reason: Unknown 0.52/0.57 % (24919)Termination phase: Property scanning 0.52/0.57 0.52/0.57 % (24919)Memory used [KB]: 895 0.52/0.57 % (24919)Time elapsed: 0.003 s 0.52/0.57 % (24919)Instructions burned: 2 (million) 0.52/0.57 % (24919)------------------------------ 0.52/0.57 % (24919)------------------------------ 0.52/0.57 % (24918)Instruction limit reached! 0.52/0.57 % (24918)------------------------------ 0.52/0.57 % (24918)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.52/0.57 % (24918)Termination reason: Unknown 0.52/0.57 % (24918)Termination phase: Saturation 0.52/0.57 0.52/0.57 % (24918)Memory used [KB]: 5628 0.52/0.57 % (24918)Time elapsed: 0.011 s 0.52/0.57 % (24918)Instructions burned: 14 (million) 0.52/0.57 % (24918)------------------------------ 0.52/0.57 % (24918)------------------------------ 0.52/0.58 % (24920)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) 0.52/0.58 % (24917)Instruction limit reached! 0.52/0.58 % (24917)------------------------------ 0.52/0.58 % (24917)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.52/0.58 % (24917)Termination reason: Unknown 0.52/0.58 % (24917)Termination phase: Saturation 0.52/0.58 0.52/0.58 % (24917)Memory used [KB]: 5884 0.52/0.58 % (24917)Time elapsed: 0.031 s 0.52/0.58 % (24917)Instructions burned: 62 (million) 0.52/0.58 % (24917)------------------------------ 0.52/0.58 % (24917)------------------------------ 0.52/0.58 % (24921)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) 0.52/0.59 % (24922)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) 0.52/0.59 % (24913)Instruction limit reached! 0.52/0.59 % (24913)------------------------------ 0.52/0.59 % (24913)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.52/0.59 % (24913)Termination reason: Unknown 0.52/0.59 % (24913)Termination phase: Saturation 0.52/0.59 0.52/0.59 % (24913)Memory used [KB]: 5884 0.52/0.59 % (24913)Time elapsed: 0.048 s 0.52/0.59 % (24913)Instructions burned: 72 (million) 0.52/0.59 % (24913)------------------------------ 0.52/0.59 % (24913)------------------------------ 0.52/0.59 % (24921)Instruction limit reached! 0.52/0.59 % (24921)------------------------------ 0.52/0.59 % (24921)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.52/0.59 % (24921)Termination reason: Unknown 0.52/0.59 % (24921)Termination phase: Saturation 0.52/0.59 0.52/0.59 % (24921)Memory used [KB]: 5500 0.52/0.59 % (24921)Time elapsed: 0.009 s 0.52/0.59 % (24921)Instructions burned: 12 (million) 0.52/0.59 % (24921)------------------------------ 0.52/0.59 % (24921)------------------------------ 0.52/0.59 % (24923)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) 0.52/0.60 % (24924)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) 0.52/0.60 % (24923)Instruction limit reached! 0.52/0.60 % (24923)------------------------------ 0.52/0.60 % (24923)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.52/0.60 % (24923)Termination reason: Unknown 0.52/0.60 % (24923)Termination phase: Saturation 0.52/0.60 0.52/0.60 % (24923)Memory used [KB]: 5628 0.52/0.60 % (24923)Time elapsed: 0.014 s 0.52/0.60 % (24923)Instructions burned: 26 (million) 0.52/0.60 % (24923)------------------------------ 0.52/0.60 % (24923)------------------------------ 0.52/0.60 % (24925)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) 0.52/0.61 % (24924)Refutation not found, incomplete strategy 0.52/0.61 % (24924)------------------------------ 0.52/0.61 % (24924)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.52/0.61 % (24924)Termination reason: Refutation not found, incomplete strategy 0.52/0.61 0.52/0.61 0.52/0.61 % (24924)Memory used [KB]: 1023 0.52/0.61 % (24924)Time elapsed: 0.006 s 0.52/0.61 % (24924)Instructions burned: 4 (million) 0.52/0.61 % (24924)------------------------------ 0.52/0.61 % (24924)------------------------------ 0.52/0.62 % (24926)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) 0.52/0.62 % (24925)Refutation not found, incomplete strategy 0.52/0.62 % (24925)------------------------------ 0.52/0.62 % (24925)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.52/0.62 % (24925)Termination reason: Refutation not found, incomplete strategy 0.52/0.62 0.52/0.62 0.52/0.62 % (24925)Memory used [KB]: 5628 0.52/0.62 % (24925)Time elapsed: 0.015 s 0.52/0.62 % (24925)Instructions burned: 27 (million) 0.52/0.62 % (24925)------------------------------ 0.52/0.62 % (24925)------------------------------ 0.52/0.62 % (24927)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) 0.52/0.62 % (24926)Instruction limit reached! 0.52/0.62 % (24926)------------------------------ 0.52/0.62 % (24926)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.52/0.62 % (24926)Termination reason: Unknown 0.52/0.62 % (24926)Termination phase: Saturation 0.52/0.62 0.52/0.62 % (24926)Memory used [KB]: 5500 0.52/0.62 % (24926)Time elapsed: 0.004 s 0.52/0.62 % (24926)Instructions burned: 4 (million) 0.52/0.62 % (24926)------------------------------ 0.52/0.62 % (24926)------------------------------ 0.52/0.62 % (24916)Instruction limit reached! 0.52/0.62 % (24916)------------------------------ 0.52/0.62 % (24916)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.52/0.62 % (24916)Termination reason: Unknown 0.52/0.62 % (24916)Termination phase: Saturation 0.52/0.62 0.52/0.62 % (24916)Memory used [KB]: 6012 0.52/0.62 % (24916)Time elapsed: 0.073 s 0.52/0.62 % (24916)Instructions burned: 129 (million) 0.52/0.62 % (24916)------------------------------ 0.52/0.62 % (24916)------------------------------ 0.52/0.63 % (24927)Instruction limit reached! 0.52/0.63 % (24927)------------------------------ 0.52/0.63 % (24927)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.52/0.63 % (24927)Termination reason: Unknown 0.52/0.63 % (24927)Termination phase: Saturation 0.52/0.63 0.52/0.63 % (24927)Memory used [KB]: 5628 0.52/0.63 % (24927)Time elapsed: 0.009 s 0.52/0.63 % (24927)Instructions burned: 20 (million) 0.52/0.63 % (24927)------------------------------ 0.52/0.63 % (24927)------------------------------ 0.52/0.63 % (24928)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) 0.52/0.63 % (24929)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) 0.52/0.63 % (24930)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) 0.52/0.63 % (24931)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) 0.52/0.64 % (24929)First to succeed. 0.52/0.64 % (24931)Refutation not found, incomplete strategy 0.52/0.64 % (24931)------------------------------ 0.52/0.64 % (24931)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.52/0.64 % (24931)Termination reason: Refutation not found, incomplete strategy 0.52/0.64 0.52/0.64 0.52/0.64 % (24931)Memory used [KB]: 5500 0.52/0.64 % (24931)Time elapsed: 0.003 s 0.52/0.64 % (24931)Instructions burned: 4 (million) 0.52/0.64 % (24931)------------------------------ 0.52/0.64 % (24931)------------------------------ 0.52/0.64 % (24929)Refutation found. Thanks to Tanya! 0.52/0.64 % SZS status Theorem for Vampire---4 0.52/0.64 % SZS output start Proof for Vampire---4 0.52/0.64 thf(func_def_0, type, cHALF: $i > $i > $o). 0.52/0.64 thf(func_def_1, type, cDOUBLE: $i > $i > $o). 0.52/0.64 thf(func_def_2, type, cS: $i > $i). 0.52/0.64 thf(func_def_9, type, sK2: ($i > $i > $o) > $i). 0.52/0.64 thf(func_def_10, type, sK3: ($i > $i > $o) > $i). 0.52/0.64 thf(func_def_13, type, ph5: !>[X0: $tType]:(X0)). 0.52/0.64 thf(f153,plain,( 0.52/0.64 $false), 0.52/0.64 inference(avatar_sat_refutation,[],[f121,f143,f152])). 0.52/0.64 thf(f152,plain,( 0.52/0.64 ~spl4_4), 0.52/0.64 inference(avatar_contradiction_clause,[],[f151])). 0.52/0.64 thf(f151,plain,( 0.52/0.64 $false | ~spl4_4), 0.52/0.64 inference(subsumption_resolution,[],[f150,f17])). 0.52/0.64 thf(f17,plain,( 0.52/0.64 ((cDOUBLE @ sK1 @ sK0) = $true)), 0.52/0.64 inference(cnf_transformation,[],[f11])). 0.52/0.64 thf(f11,plain,( 0.52/0.64 (($true != (cHALF @ sK0 @ sK1)) & ((cDOUBLE @ sK1 @ sK0) = $true)) & ! [X2,X3 : $i > $i > $o,X4] : ((((X3 @ (cS @ (sK3 @ X3)) @ (cS @ (cS @ (sK2 @ X3)))) != $true) & ($true = (X3 @ (sK3 @ X3) @ (sK2 @ X3)))) | ((cDOUBLE @ X4 @ X2) != $true) | ((X3 @ X4 @ X2) = $true) | ((X3 @ c0 @ c0) != $true)) & ! [X7,X8] : (((cHALF @ (cS @ (cS @ X8)) @ (cS @ X7)) = $true) | ((cHALF @ X8 @ X7) != $true)) & ((cHALF @ c0 @ c0) = $true) & ((cHALF @ (cS @ c0) @ c0) = $true)), 0.52/0.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f8,f10,f9])). 0.52/0.64 thf(f9,plain,( 0.52/0.64 ? [X0,X1] : (((cHALF @ X0 @ X1) != $true) & ((cDOUBLE @ X1 @ X0) = $true)) => (($true != (cHALF @ sK0 @ sK1)) & ((cDOUBLE @ sK1 @ sK0) = $true))), 0.52/0.64 introduced(choice_axiom,[])). 0.52/0.64 thf(f10,plain,( 0.52/0.64 ! [X3 : $i > $i > $o] : (? [X5,X6] : (((X3 @ (cS @ X6) @ (cS @ (cS @ X5))) != $true) & ((X3 @ X6 @ X5) = $true)) => (((X3 @ (cS @ (sK3 @ X3)) @ (cS @ (cS @ (sK2 @ X3)))) != $true) & ($true = (X3 @ (sK3 @ X3) @ (sK2 @ X3)))))), 0.52/0.64 introduced(choice_axiom,[])). 0.52/0.64 thf(f8,plain,( 0.52/0.64 ? [X0,X1] : (((cHALF @ X0 @ X1) != $true) & ((cDOUBLE @ X1 @ X0) = $true)) & ! [X2,X3 : $i > $i > $o,X4] : (? [X5,X6] : (((X3 @ (cS @ X6) @ (cS @ (cS @ X5))) != $true) & ((X3 @ X6 @ X5) = $true)) | ((cDOUBLE @ X4 @ X2) != $true) | ((X3 @ X4 @ X2) = $true) | ((X3 @ c0 @ c0) != $true)) & ! [X7,X8] : (((cHALF @ (cS @ (cS @ X8)) @ (cS @ X7)) = $true) | ((cHALF @ X8 @ X7) != $true)) & ((cHALF @ c0 @ c0) = $true) & ((cHALF @ (cS @ c0) @ c0) = $true)), 0.52/0.64 inference(rectify,[],[f7])). 0.52/0.64 thf(f7,plain,( 0.52/0.64 ? [X7,X8] : (((cHALF @ X7 @ X8) != $true) & ((cDOUBLE @ X8 @ X7) = $true)) & ! [X4,X2 : $i > $i > $o,X3] : (? [X6,X5] : (((X2 @ (cS @ X5) @ (cS @ (cS @ X6))) != $true) & ((X2 @ X5 @ X6) = $true)) | ((cDOUBLE @ X3 @ X4) != $true) | ((X2 @ X3 @ X4) = $true) | ((X2 @ c0 @ c0) != $true)) & ! [X0,X1] : (($true = (cHALF @ (cS @ (cS @ X1)) @ (cS @ X0))) | ($true != (cHALF @ X1 @ X0))) & ((cHALF @ c0 @ c0) = $true) & ((cHALF @ (cS @ c0) @ c0) = $true)), 0.52/0.64 inference(flattening,[],[f6])). 0.52/0.64 thf(f6,plain,( 0.52/0.64 ? [X7,X8] : (((cHALF @ X7 @ X8) != $true) & ((cDOUBLE @ X8 @ X7) = $true)) & (! [X4,X2 : $i > $i > $o,X3] : (((X2 @ X3 @ X4) = $true) | (((cDOUBLE @ X3 @ X4) != $true) | ? [X6,X5] : (((X2 @ (cS @ X5) @ (cS @ (cS @ X6))) != $true) & ((X2 @ X5 @ X6) = $true)) | ((X2 @ c0 @ c0) != $true))) & ((cHALF @ c0 @ c0) = $true) & ((cHALF @ (cS @ c0) @ c0) = $true) & ! [X0,X1] : (($true = (cHALF @ (cS @ (cS @ X1)) @ (cS @ X0))) | ($true != (cHALF @ X1 @ X0))))), 0.52/0.64 inference(ennf_transformation,[],[f5])). 0.52/0.64 thf(f5,plain,( 0.52/0.64 ~((! [X4,X2 : $i > $i > $o,X3] : ((((cDOUBLE @ X3 @ X4) = $true) & ! [X5,X6] : (((X2 @ X5 @ X6) = $true) => ((X2 @ (cS @ X5) @ (cS @ (cS @ X6))) = $true)) & ((X2 @ c0 @ c0) = $true)) => ((X2 @ X3 @ X4) = $true)) & ((cHALF @ c0 @ c0) = $true) & ((cHALF @ (cS @ c0) @ c0) = $true) & ! [X1,X0] : (($true = (cHALF @ X1 @ X0)) => ($true = (cHALF @ (cS @ (cS @ X1)) @ (cS @ X0))))) => ! [X8,X7] : (((cDOUBLE @ X8 @ X7) = $true) => ((cHALF @ X7 @ X8) = $true)))), 0.52/0.64 inference(fool_elimination,[],[f4])). 0.52/0.64 thf(f4,plain,( 0.52/0.64 ~((! [X0,X1] : ((cHALF @ X1 @ X0) => (cHALF @ (cS @ (cS @ X1)) @ (cS @ X0))) & (cHALF @ c0 @ c0) & ! [X2 : $i > $i > $o,X3,X4] : (((X2 @ c0 @ c0) & ! [X5,X6] : ((X2 @ X5 @ X6) => (X2 @ (cS @ X5) @ (cS @ (cS @ X6)))) & (cDOUBLE @ X3 @ X4)) => (X2 @ X3 @ X4)) & (cHALF @ (cS @ c0) @ c0)) => ! [X7,X8] : ((cDOUBLE @ X8 @ X7) => (cHALF @ X7 @ X8)))), 0.52/0.64 inference(rectify,[],[f2])). 0.52/0.64 thf(f2,negated_conjecture,( 0.52/0.64 ~((! [X1,X0] : ((cHALF @ X0 @ X1) => (cHALF @ (cS @ (cS @ X0)) @ (cS @ X1))) & (cHALF @ c0 @ c0) & ! [X2 : $i > $i > $o,X3,X4] : (((X2 @ c0 @ c0) & ! [X0,X1] : ((X2 @ X0 @ X1) => (X2 @ (cS @ X0) @ (cS @ (cS @ X1)))) & (cDOUBLE @ X3 @ X4)) => (X2 @ X3 @ X4)) & (cHALF @ (cS @ c0) @ c0)) => ! [X4,X3] : ((cDOUBLE @ X3 @ X4) => (cHALF @ X4 @ X3)))), 0.52/0.64 inference(negated_conjecture,[],[f1])). 0.52/0.64 thf(f1,conjecture,( 0.52/0.64 (! [X1,X0] : ((cHALF @ X0 @ X1) => (cHALF @ (cS @ (cS @ X0)) @ (cS @ X1))) & (cHALF @ c0 @ c0) & ! [X2 : $i > $i > $o,X3,X4] : (((X2 @ c0 @ c0) & ! [X0,X1] : ((X2 @ X0 @ X1) => (X2 @ (cS @ X0) @ (cS @ (cS @ X1)))) & (cDOUBLE @ X3 @ X4)) => (X2 @ X3 @ X4)) & (cHALF @ (cS @ c0) @ c0)) => ! [X4,X3] : ((cDOUBLE @ X3 @ X4) => (cHALF @ X4 @ X3))), 0.52/0.64 file('/export/starexec/sandbox2/tmp/tmp.LbwRzK1Wdb/Vampire---4.8_24757',cTHM301)). 0.52/0.64 thf(f150,plain,( 0.52/0.64 ((cDOUBLE @ sK1 @ sK0) != $true) | ~spl4_4), 0.52/0.64 inference(trivial_inequality_removal,[],[f145])). 0.52/0.64 thf(f145,plain,( 0.52/0.64 ($true != $true) | ((cDOUBLE @ sK1 @ sK0) != $true) | ~spl4_4), 0.52/0.64 inference(superposition,[],[f18,f120])). 0.52/0.64 thf(f120,plain,( 0.52/0.64 ( ! [X0 : $i,X1 : $i] : (($true = (cHALF @ X1 @ X0)) | ((cDOUBLE @ X0 @ X1) != $true)) ) | ~spl4_4), 0.52/0.64 inference(avatar_component_clause,[],[f119])). 0.52/0.64 thf(f119,plain,( 0.52/0.64 spl4_4 <=> ! [X0,X1] : (($true = (cHALF @ X1 @ X0)) | ((cDOUBLE @ X0 @ X1) != $true))), 0.52/0.64 introduced(avatar_definition,[new_symbols(naming,[spl4_4])])). 0.52/0.64 thf(f18,plain,( 0.52/0.64 ($true != (cHALF @ sK0 @ sK1))), 0.52/0.64 inference(cnf_transformation,[],[f11])). 0.52/0.64 thf(f143,plain,( 0.52/0.64 spl4_4 | spl4_3), 0.52/0.64 inference(avatar_split_clause,[],[f142,f115,f119])). 0.52/0.64 thf(f115,plain,( 0.52/0.64 spl4_3 <=> ((cHALF @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))) = $true)), 0.52/0.64 introduced(avatar_definition,[new_symbols(naming,[spl4_3])])). 0.52/0.64 thf(f142,plain,( 0.52/0.64 ( ! [X0 : $i,X1 : $i] : (($true = (cHALF @ X1 @ X0)) | ((cDOUBLE @ X0 @ X1) != $true)) ) | spl4_3), 0.52/0.64 inference(subsumption_resolution,[],[f141,f13])). 0.52/0.64 thf(f13,plain,( 0.52/0.64 ((cHALF @ c0 @ c0) = $true)), 0.52/0.64 inference(cnf_transformation,[],[f11])). 0.52/0.64 thf(f141,plain,( 0.52/0.64 ( ! [X0 : $i,X1 : $i] : (((cHALF @ c0 @ c0) != $true) | ($true = (cHALF @ X1 @ X0)) | ((cDOUBLE @ X0 @ X1) != $true)) ) | spl4_3), 0.52/0.64 inference(beta_eta_normalization,[],[f140])). 0.52/0.64 thf(f140,plain,( 0.52/0.64 ( ! [X0 : $i,X1 : $i] : ((((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0) != $true) | (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X0 @ X1) = $true) | ((cDOUBLE @ X0 @ X1) != $true)) ) | spl4_3), 0.52/0.64 inference(trivial_inequality_removal,[],[f139])). 0.52/0.64 thf(f139,plain,( 0.52/0.64 ( ! [X0 : $i,X1 : $i] : (((cDOUBLE @ X0 @ X1) != $true) | ($true != $true) | (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X0 @ X1) = $true) | (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0) != $true)) ) | spl4_3), 0.52/0.64 inference(superposition,[],[f117,f15])). 0.52/0.64 thf(f15,plain,( 0.52/0.64 ( ! [X2 : $i,X3 : $i > $i > $o,X4 : $i] : (($true = (X3 @ (sK3 @ X3) @ (sK2 @ X3))) | ((X3 @ X4 @ X2) = $true) | ((X3 @ c0 @ c0) != $true) | ((cDOUBLE @ X4 @ X2) != $true)) )), 0.52/0.64 inference(cnf_transformation,[],[f11])). 0.52/0.64 thf(f117,plain,( 0.52/0.64 ((cHALF @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))) != $true) | spl4_3), 0.52/0.64 inference(avatar_component_clause,[],[f115])). 0.52/0.64 thf(f121,plain,( 0.52/0.64 ~spl4_3 | spl4_4), 0.52/0.64 inference(avatar_split_clause,[],[f113,f119,f115])). 0.52/0.64 thf(f113,plain,( 0.52/0.64 ( ! [X0 : $i,X1 : $i] : (($true = (cHALF @ X1 @ X0)) | ((cHALF @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))) != $true) | ((cDOUBLE @ X0 @ X1) != $true)) )), 0.52/0.64 inference(subsumption_resolution,[],[f103,f13])). 0.52/0.64 thf(f103,plain,( 0.52/0.64 ( ! [X0 : $i,X1 : $i] : (((cHALF @ c0 @ c0) != $true) | ((cHALF @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))) != $true) | ($true = (cHALF @ X1 @ X0)) | ((cDOUBLE @ X0 @ X1) != $true)) )), 0.52/0.64 inference(beta_eta_normalization,[],[f102])). 0.52/0.64 thf(f102,plain,( 0.52/0.64 ( ! [X0 : $i,X1 : $i] : (((cDOUBLE @ X0 @ X1) != $true) | (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0) != $true) | ((cHALF @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1)))))) @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))))) != $true) | (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X0 @ X1) = $true)) )), 0.52/0.64 inference(trivial_inequality_removal,[],[f72])). 0.52/0.64 thf(f72,plain,( 0.52/0.64 ( ! [X0 : $i,X1 : $i] : (((cDOUBLE @ X0 @ X1) != $true) | ((cHALF @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1)))))) @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))))) != $true) | (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0) != $true) | (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X0 @ X1) = $true) | ($true != $true)) )), 0.52/0.64 inference(superposition,[],[f16,f14])). 0.52/0.64 thf(f14,plain,( 0.52/0.64 ( ! [X8 : $i,X7 : $i] : (((cHALF @ (cS @ (cS @ X8)) @ (cS @ X7)) = $true) | ((cHALF @ X8 @ X7) != $true)) )), 0.52/0.64 inference(cnf_transformation,[],[f11])). 0.52/0.64 thf(f16,plain,( 0.52/0.64 ( ! [X2 : $i,X3 : $i > $i > $o,X4 : $i] : (((X3 @ (cS @ (sK3 @ X3)) @ (cS @ (cS @ (sK2 @ X3)))) != $true) | ((X3 @ c0 @ c0) != $true) | ((cDOUBLE @ X4 @ X2) != $true) | ((X3 @ X4 @ X2) = $true)) )), 0.52/0.64 inference(cnf_transformation,[],[f11])). 0.52/0.64 % SZS output end Proof for Vampire---4 0.52/0.64 % (24929)------------------------------ 0.52/0.64 % (24929)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.52/0.64 % (24929)Termination reason: Refutation 0.52/0.64 0.52/0.64 % (24929)Memory used [KB]: 5756 0.52/0.64 % (24929)Time elapsed: 0.010 s 0.52/0.64 % (24929)Instructions burned: 22 (million) 0.52/0.64 % (24929)------------------------------ 0.52/0.64 % (24929)------------------------------ 0.52/0.64 % (24901)Success in time 0.134 s 0.52/0.64 % Vampire---4.8 exiting 0.52/0.64 EOF