0.09/0.16 % Problem : Vampire---4.8_15058 : TPTP v0.0.0. Released v0.0.0. 0.09/0.18 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.13/0.39 % Computer : n014.cluster.edu 0.13/0.39 % Model : x86_64 x86_64 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.39 % Memory : 8042.1875MB 0.13/0.39 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.39 % CPULimit : 1440 0.13/0.39 % WCLimit : 180 0.13/0.39 % DateTime : Mon Jul 3 12:41:39 EDT 2023 0.13/0.39 % CPUTime : 0.13/0.39 This is a THF_ problem 0.13/0.39 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.vVUaXxJOMn/Vampire---4.8_15058 -m 12000 -t 180 0.13/0.41 % (15293)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.13/0.41 % (15297)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.13/0.41 % (15299)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) 0.13/0.41 % (15295)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) 0.13/0.41 % (15294)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.13/0.41 % (15298)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) 0.13/0.41 % (15296)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) 0.13/0.41 % (15300)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) 0.13/0.42 % (15299)Instruction limit reached! 0.13/0.42 % (15299)------------------------------ 0.13/0.42 % (15299)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.13/0.42 % (15299)Termination reason: Unknown 0.13/0.42 % (15299)Termination phase: Saturation 0.13/0.42 0.13/0.42 % (15299)Memory used [KB]: 5500 0.13/0.42 % (15299)Time elapsed: 0.005 s 0.13/0.42 % (15299)Instructions burned: 4 (million) 0.13/0.42 % (15299)------------------------------ 0.13/0.42 % (15299)------------------------------ 0.13/0.42 % (15297)Instruction limit reached! 0.13/0.42 % (15297)------------------------------ 0.13/0.42 % (15297)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.13/0.42 % (15297)Termination reason: Unknown 0.13/0.42 % (15297)Termination phase: Saturation 0.13/0.42 0.13/0.42 % (15297)Memory used [KB]: 5628 0.13/0.42 % (15297)Time elapsed: 0.013 s 0.13/0.42 % (15297)Instructions burned: 17 (million) 0.13/0.42 % (15297)------------------------------ 0.13/0.42 % (15297)------------------------------ 0.20/0.43 % (15310)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) 0.20/0.44 % (15294)Instruction limit reached! 0.20/0.44 % (15294)------------------------------ 0.20/0.44 % (15294)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.44 % (15294)Termination reason: Unknown 0.20/0.44 % (15295)Instruction limit reached! 0.20/0.44 % (15295)------------------------------ 0.20/0.44 % (15295)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.44 % (15294)Termination phase: Saturation 0.20/0.44 0.20/0.44 % (15294)Memory used [KB]: 5756 0.20/0.44 % (15294)Time elapsed: 0.023 s 0.20/0.44 % (15294)Instructions burned: 36 (million) 0.20/0.44 % (15294)------------------------------ 0.20/0.44 % (15294)------------------------------ 0.20/0.44 % (15295)Termination reason: Unknown 0.20/0.44 % (15295)Termination phase: Saturation 0.20/0.44 0.20/0.44 % (15295)Memory used [KB]: 5628 0.20/0.44 % (15295)Time elapsed: 0.023 s 0.20/0.44 % (15295)Instructions burned: 34 (million) 0.20/0.44 % (15295)------------------------------ 0.20/0.44 % (15295)------------------------------ 0.20/0.44 % (15311)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.20/0.44 % (15311)Instruction limit reached! 0.20/0.44 % (15311)------------------------------ 0.20/0.44 % (15311)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.44 % (15311)Termination reason: Unknown 0.20/0.44 % (15311)Termination phase: Saturation 0.20/0.44 0.20/0.44 % (15311)Memory used [KB]: 5500 0.20/0.44 % (15311)Time elapsed: 0.007 s 0.20/0.44 % (15311)Instructions burned: 7 (million) 0.20/0.44 % (15311)------------------------------ 0.20/0.44 % (15311)------------------------------ 0.20/0.45 % (15310)Instruction limit reached! 0.20/0.45 % (15310)------------------------------ 0.20/0.45 % (15310)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.45 % (15310)Termination reason: Unknown 0.20/0.45 % (15310)Termination phase: Saturation 0.20/0.45 0.20/0.45 % (15310)Memory used [KB]: 5628 0.20/0.45 % (15310)Time elapsed: 0.015 s 0.20/0.45 % (15310)Instructions burned: 21 (million) 0.20/0.45 % (15310)------------------------------ 0.20/0.45 % (15310)------------------------------ 0.20/0.45 % (15314)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) 0.20/0.45 % (15315)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) 0.20/0.45 % (15298)Instruction limit reached! 0.20/0.45 % (15298)------------------------------ 0.20/0.45 % (15298)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.45 % (15298)Termination reason: Unknown 0.20/0.45 % (15298)Termination phase: Saturation 0.20/0.45 0.20/0.45 % (15298)Memory used [KB]: 5628 0.20/0.45 % (15298)Time elapsed: 0.041 s 0.20/0.45 % (15298)Instructions burned: 74 (million) 0.20/0.45 % (15298)------------------------------ 0.20/0.45 % (15298)------------------------------ 0.20/0.46 % (15316)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) 0.20/0.46 % (15317)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) 0.20/0.46 % (15316)Instruction limit reached! 0.20/0.46 % (15316)------------------------------ 0.20/0.46 % (15316)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.46 % (15316)Termination reason: Unknown 0.20/0.46 % (15316)Termination phase: Saturation 0.20/0.46 0.20/0.46 % (15316)Memory used [KB]: 5500 0.20/0.46 % (15316)Time elapsed: 0.008 s 0.20/0.46 % (15316)Instructions burned: 9 (million) 0.20/0.46 % (15316)------------------------------ 0.20/0.46 % (15316)------------------------------ 0.20/0.47 % (15318)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) 0.20/0.47 % (15293)Instruction limit reached! 0.20/0.47 % (15293)------------------------------ 0.20/0.47 % (15293)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.47 % (15293)Termination reason: Unknown 0.20/0.47 % (15293)Termination phase: Saturation 0.20/0.47 0.20/0.47 % (15293)Memory used [KB]: 5756 0.20/0.47 % (15293)Time elapsed: 0.059 s 0.20/0.47 % (15293)Instructions burned: 96 (million) 0.20/0.47 % (15293)------------------------------ 0.20/0.47 % (15293)------------------------------ 0.20/0.48 % (15319)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.20/0.48 % (15320)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.20/0.49 % (15320)Instruction limit reached! 0.20/0.49 % (15320)------------------------------ 0.20/0.49 % (15320)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.49 % (15320)Termination reason: Unknown 0.20/0.49 % (15320)Termination phase: Saturation 0.20/0.49 0.20/0.49 % (15320)Memory used [KB]: 5628 0.20/0.49 % (15320)Time elapsed: 0.012 s 0.20/0.49 % (15320)Instructions burned: 14 (million) 0.20/0.49 % (15320)------------------------------ 0.20/0.49 % (15320)------------------------------ 0.20/0.50 % (15315)Instruction limit reached! 0.20/0.50 % (15315)------------------------------ 0.20/0.50 % (15315)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.50 % (15315)Termination reason: Unknown 0.20/0.50 % (15315)Termination phase: Saturation 0.20/0.50 0.20/0.50 % (15315)Memory used [KB]: 6012 0.20/0.50 % (15315)Time elapsed: 0.048 s 0.20/0.50 % (15315)Instructions burned: 71 (million) 0.20/0.50 % (15315)------------------------------ 0.20/0.50 % (15315)------------------------------ 0.20/0.51 % (15321)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) 0.20/0.51 % (15321)Instruction limit reached! 0.20/0.51 % (15321)------------------------------ 0.20/0.51 % (15321)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.51 % (15321)Termination reason: Unknown 0.20/0.51 % (15321)Termination phase: Property scanning 0.20/0.51 0.20/0.51 % (15321)Memory used [KB]: 895 0.20/0.51 % (15321)Time elapsed: 0.003 s 0.20/0.51 % (15321)Instructions burned: 2 (million) 0.20/0.51 % (15321)------------------------------ 0.20/0.51 % (15321)------------------------------ 0.20/0.51 % (15322)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) 0.20/0.52 % (15319)Instruction limit reached! 0.20/0.52 % (15319)------------------------------ 0.20/0.52 % (15319)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.52 % (15319)Termination reason: Unknown 0.20/0.52 % (15319)Termination phase: Saturation 0.20/0.52 0.20/0.52 % (15319)Memory used [KB]: 5884 0.20/0.52 % (15319)Time elapsed: 0.038 s 0.20/0.52 % (15319)Instructions burned: 62 (million) 0.20/0.52 % (15319)------------------------------ 0.20/0.52 % (15319)------------------------------ 0.20/0.52 % (15323)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 (1798ds/11Mi) 0.20/0.53 % (15324)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 (1798ds/140Mi) 0.20/0.53 % (15323)Instruction limit reached! 0.20/0.53 % (15323)------------------------------ 0.20/0.53 % (15323)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.53 % (15323)Termination reason: Unknown 0.20/0.53 % (15323)Termination phase: Saturation 0.20/0.53 0.20/0.53 % (15323)Memory used [KB]: 5500 0.20/0.53 % (15323)Time elapsed: 0.007 s 0.20/0.53 % (15323)Instructions burned: 12 (million) 0.20/0.53 % (15323)------------------------------ 0.20/0.53 % (15323)------------------------------ 0.20/0.54 % (15318)Instruction limit reached! 0.20/0.54 % (15318)------------------------------ 0.20/0.54 % (15318)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.54 % (15318)Termination reason: Unknown 0.20/0.54 % (15318)Termination phase: Saturation 0.20/0.54 0.20/0.54 % (15318)Memory used [KB]: 6012 0.20/0.54 % (15318)Time elapsed: 0.071 s 0.20/0.54 % (15318)Instructions burned: 128 (million) 0.20/0.54 % (15318)------------------------------ 0.20/0.54 % (15318)------------------------------ 0.20/0.54 % (15325)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (1798ds/26Mi) 0.20/0.55 % (15326)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1798ds/56Mi) 0.20/0.55 % (15325)Instruction limit reached! 0.20/0.55 % (15325)------------------------------ 0.20/0.55 % (15325)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.55 % (15325)Termination reason: Unknown 0.20/0.55 % (15325)Termination phase: Saturation 0.20/0.55 0.20/0.55 % (15325)Memory used [KB]: 5628 0.20/0.55 % (15325)Time elapsed: 0.010 s 0.20/0.55 % (15325)Instructions burned: 28 (million) 0.20/0.55 % (15325)------------------------------ 0.20/0.55 % (15325)------------------------------ 0.20/0.56 % (15327)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (1798ds/275Mi) 1.40/0.57 % (15326)Instruction limit reached! 1.40/0.57 % (15326)------------------------------ 1.40/0.57 % (15326)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.40/0.57 % (15326)Termination reason: Unknown 1.40/0.57 % (15326)Termination phase: Saturation 1.40/0.57 1.40/0.57 % (15326)Memory used [KB]: 1279 1.40/0.57 % (15326)Time elapsed: 0.021 s 1.40/0.57 % (15326)Instructions burned: 56 (million) 1.40/0.57 % (15326)------------------------------ 1.40/0.57 % (15326)------------------------------ 1.40/0.57 % (15328)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) 1.40/0.57 % (15328)Instruction limit reached! 1.40/0.57 % (15328)------------------------------ 1.40/0.57 % (15328)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.40/0.57 % (15328)Termination reason: Unknown 1.40/0.57 % (15328)Termination phase: Saturation 1.40/0.57 1.40/0.57 % (15328)Memory used [KB]: 5500 1.40/0.57 % (15328)Time elapsed: 0.002 s 1.40/0.57 % (15328)Instructions burned: 3 (million) 1.40/0.57 % (15328)------------------------------ 1.40/0.57 % (15328)------------------------------ 1.54/0.58 % (15324)Instruction limit reached! 1.54/0.58 % (15324)------------------------------ 1.54/0.58 % (15324)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.58 % (15324)Termination reason: Unknown 1.54/0.58 % (15324)Termination phase: Saturation 1.54/0.58 1.54/0.58 % (15324)Memory used [KB]: 6140 1.54/0.58 % (15324)Time elapsed: 0.055 s 1.54/0.58 % (15324)Instructions burned: 140 (million) 1.54/0.58 % (15324)------------------------------ 1.54/0.58 % (15324)------------------------------ 1.54/0.58 % (15329)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) 1.54/0.59 % (15296)Instruction limit reached! 1.54/0.59 % (15296)------------------------------ 1.54/0.59 % (15296)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.59 % (15296)Termination reason: Unknown 1.54/0.59 % (15296)Termination phase: Saturation 1.54/0.59 1.54/0.59 % (15296)Memory used [KB]: 6268 1.54/0.59 % (15296)Time elapsed: 0.177 s 1.54/0.59 % (15296)Instructions burned: 387 (million) 1.54/0.59 % (15296)------------------------------ 1.54/0.59 % (15296)------------------------------ 1.54/0.59 % (15330)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) 1.54/0.59 % (15329)Instruction limit reached! 1.54/0.59 % (15329)------------------------------ 1.54/0.59 % (15329)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.59 % (15329)Termination reason: Unknown 1.54/0.59 % (15329)Termination phase: Saturation 1.54/0.59 1.54/0.59 % (15329)Memory used [KB]: 5628 1.54/0.59 % (15329)Time elapsed: 0.008 s 1.54/0.59 % (15329)Instructions burned: 21 (million) 1.54/0.59 % (15329)------------------------------ 1.54/0.59 % (15329)------------------------------ 1.54/0.60 % (15331)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) 1.54/0.60 % (15332)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) 1.54/0.60 % (15330)Instruction limit reached! 1.54/0.60 % (15330)------------------------------ 1.54/0.60 % (15330)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.60 % (15330)Termination reason: Unknown 1.54/0.60 % (15330)Termination phase: Saturation 1.54/0.60 1.54/0.60 % (15330)Memory used [KB]: 1279 1.54/0.60 % (15330)Time elapsed: 0.016 s 1.54/0.60 % (15330)Instructions burned: 46 (million) 1.54/0.60 % (15330)------------------------------ 1.54/0.60 % (15330)------------------------------ 1.54/0.61 % (15333)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) 1.54/0.62 % (15331)First to succeed. 1.54/0.62 % (15331)Refutation found. Thanks to Tanya! 1.54/0.62 % SZS status Theorem for Vampire---4 1.54/0.62 % SZS output start Proof for Vampire---4 1.54/0.62 thf(func_def_0, type, cHALF: $i > $i > $o). 1.54/0.62 thf(func_def_1, type, cDOUBLE: $i > $i > $o). 1.54/0.62 thf(func_def_2, type, cS: $i > $i). 1.54/0.62 thf(func_def_9, type, sK2: $i > $i > $i > $i > $o). 1.54/0.62 thf(func_def_10, type, sK3: ($i > $i > $o) > $i). 1.54/0.62 thf(func_def_11, type, sK4: ($i > $i > $o) > $i). 1.54/0.62 thf(func_def_14, type, ph6: !>[X0: $tType]:(X0)). 1.54/0.62 thf(f271,plain,( 1.54/0.62 $false), 1.54/0.62 inference(avatar_sat_refutation,[],[f129,f251,f270])). 1.54/0.62 thf(f270,plain,( 1.54/0.62 ~spl5_4), 1.54/0.62 inference(avatar_contradiction_clause,[],[f269])). 1.54/0.62 thf(f269,plain,( 1.54/0.62 $false | ~spl5_4), 1.54/0.62 inference(subsumption_resolution,[],[f260,f21])). 1.54/0.62 thf(f21,plain,( 1.54/0.62 ((cDOUBLE @ sK1 @ sK0) = $true)), 1.54/0.62 inference(cnf_transformation,[],[f13])). 1.54/0.62 thf(f13,plain,( 1.54/0.62 ((cHALF @ c0 @ c0) = $true) & (((cHALF @ sK0 @ sK1) != $true) & ((cDOUBLE @ sK1 @ sK0) = $true)) & ! [X2,X3] : ((((cDOUBLE @ X3 @ X2) = $true) | (((sK2 @ X3 @ X2 @ c0 @ c0) = $true) & ! [X5,X6] : (((sK2 @ X3 @ X2 @ (cS @ X6) @ (cS @ (cS @ X5))) = $true) | ((sK2 @ X3 @ X2 @ X6 @ X5) != $true)) & ((sK2 @ X3 @ X2 @ X3 @ X2) != $true))) & (! [X7 : $i > $i > $o] : (((X7 @ c0 @ c0) != $true) | (($true != (X7 @ (cS @ (sK4 @ X7)) @ (cS @ (cS @ (sK3 @ X7))))) & ((X7 @ (sK4 @ X7) @ (sK3 @ X7)) = $true)) | ((X7 @ X3 @ X2) = $true)) | ((cDOUBLE @ X3 @ X2) != $true))) & ((cHALF @ (cS @ c0) @ c0) = $true) & ! [X10,X11] : (((cHALF @ (cS @ (cS @ X11)) @ (cS @ X10)) = $true) | ((cHALF @ X11 @ X10) != $true))), 1.54/0.62 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f9,f12,f11,f10])). 1.54/0.62 thf(f10,plain,( 1.54/0.62 ? [X0,X1] : (((cHALF @ X0 @ X1) != $true) & ((cDOUBLE @ X1 @ X0) = $true)) => (((cHALF @ sK0 @ sK1) != $true) & ((cDOUBLE @ sK1 @ sK0) = $true))), 1.54/0.62 introduced(choice_axiom,[])). 1.54/0.62 thf(f11,plain,( 1.54/0.62 ! [X2,X3] : (? [X4 : $i > $i > $o] : (((X4 @ c0 @ c0) = $true) & ! [X5,X6] : (((X4 @ (cS @ X6) @ (cS @ (cS @ X5))) = $true) | ((X4 @ X6 @ X5) != $true)) & ((X4 @ X3 @ X2) != $true)) => (((sK2 @ X3 @ X2 @ c0 @ c0) = $true) & ! [X6,X5] : (((sK2 @ X3 @ X2 @ (cS @ X6) @ (cS @ (cS @ X5))) = $true) | ((sK2 @ X3 @ X2 @ X6 @ X5) != $true)) & ((sK2 @ X3 @ X2 @ X3 @ X2) != $true)))), 1.54/0.62 introduced(choice_axiom,[])). 1.54/0.62 thf(f12,plain,( 1.54/0.62 ! [X7 : $i > $i > $o] : (? [X8,X9] : (((X7 @ (cS @ X9) @ (cS @ (cS @ X8))) != $true) & ((X7 @ X9 @ X8) = $true)) => (($true != (X7 @ (cS @ (sK4 @ X7)) @ (cS @ (cS @ (sK3 @ X7))))) & ((X7 @ (sK4 @ X7) @ (sK3 @ X7)) = $true)))), 1.54/0.62 introduced(choice_axiom,[])). 1.54/0.62 thf(f9,plain,( 1.54/0.62 ((cHALF @ c0 @ c0) = $true) & ? [X0,X1] : (((cHALF @ X0 @ X1) != $true) & ((cDOUBLE @ X1 @ X0) = $true)) & ! [X2,X3] : ((((cDOUBLE @ X3 @ X2) = $true) | ? [X4 : $i > $i > $o] : (((X4 @ c0 @ c0) = $true) & ! [X5,X6] : (((X4 @ (cS @ X6) @ (cS @ (cS @ X5))) = $true) | ((X4 @ X6 @ X5) != $true)) & ((X4 @ X3 @ X2) != $true))) & (! [X7 : $i > $i > $o] : (((X7 @ c0 @ c0) != $true) | ? [X8,X9] : (((X7 @ (cS @ X9) @ (cS @ (cS @ X8))) != $true) & ((X7 @ X9 @ X8) = $true)) | ((X7 @ X3 @ X2) = $true)) | ((cDOUBLE @ X3 @ X2) != $true))) & ((cHALF @ (cS @ c0) @ c0) = $true) & ! [X10,X11] : (((cHALF @ (cS @ (cS @ X11)) @ (cS @ X10)) = $true) | ((cHALF @ X11 @ X10) != $true))), 1.54/0.62 inference(rectify,[],[f8])). 1.54/0.62 thf(f8,plain,( 1.54/0.62 ((cHALF @ c0 @ c0) = $true) & ? [X8,X7] : (($true != (cHALF @ X8 @ X7)) & ((cDOUBLE @ X7 @ X8) = $true)) & ! [X0,X1] : ((((cDOUBLE @ X1 @ X0) = $true) | ? [X2 : $i > $i > $o] : (((X2 @ c0 @ c0) = $true) & ! [X4,X3] : (((X2 @ (cS @ X3) @ (cS @ (cS @ X4))) = $true) | ((X2 @ X3 @ X4) != $true)) & ($true != (X2 @ X1 @ X0)))) & (! [X2 : $i > $i > $o] : (((X2 @ c0 @ c0) != $true) | ? [X4,X3] : (((X2 @ (cS @ X3) @ (cS @ (cS @ X4))) != $true) & ((X2 @ X3 @ X4) = $true)) | ($true = (X2 @ X1 @ X0))) | ((cDOUBLE @ X1 @ X0) != $true))) & ((cHALF @ (cS @ c0) @ c0) = $true) & ! [X5,X6] : (((cHALF @ (cS @ (cS @ X6)) @ (cS @ X5)) = $true) | ((cHALF @ X6 @ X5) != $true))), 1.54/0.62 inference(nnf_transformation,[],[f7])). 1.54/0.62 thf(f7,plain,( 1.54/0.62 ((cHALF @ c0 @ c0) = $true) & ? [X8,X7] : (($true != (cHALF @ X8 @ X7)) & ((cDOUBLE @ X7 @ X8) = $true)) & ! [X0,X1] : (((cDOUBLE @ X1 @ X0) = $true) <=> ! [X2 : $i > $i > $o] : (((X2 @ c0 @ c0) != $true) | ? [X4,X3] : (((X2 @ (cS @ X3) @ (cS @ (cS @ X4))) != $true) & ((X2 @ X3 @ X4) = $true)) | ($true = (X2 @ X1 @ X0)))) & ((cHALF @ (cS @ c0) @ c0) = $true) & ! [X5,X6] : (((cHALF @ (cS @ (cS @ X6)) @ (cS @ X5)) = $true) | ((cHALF @ X6 @ X5) != $true))), 1.54/0.62 inference(flattening,[],[f6])). 1.54/0.62 thf(f6,plain,( 1.54/0.62 ? [X8,X7] : (($true != (cHALF @ X8 @ X7)) & ((cDOUBLE @ X7 @ X8) = $true)) & (((cHALF @ (cS @ c0) @ c0) = $true) & ! [X1,X0] : (! [X2 : $i > $i > $o] : (($true = (X2 @ X1 @ X0)) | (((X2 @ c0 @ c0) != $true) | ? [X4,X3] : (((X2 @ (cS @ X3) @ (cS @ (cS @ X4))) != $true) & ((X2 @ X3 @ X4) = $true)))) <=> ((cDOUBLE @ X1 @ X0) = $true)) & ! [X5,X6] : (((cHALF @ (cS @ (cS @ X6)) @ (cS @ X5)) = $true) | ((cHALF @ X6 @ X5) != $true)) & ((cHALF @ c0 @ c0) = $true))), 1.54/0.62 inference(ennf_transformation,[],[f5])). 1.54/0.62 thf(f5,plain,( 1.54/0.62 ~((((cHALF @ (cS @ c0) @ c0) = $true) & ! [X1,X0] : (! [X2 : $i > $i > $o] : ((((X2 @ c0 @ c0) = $true) & ! [X4,X3] : (((X2 @ X3 @ X4) = $true) => ((X2 @ (cS @ X3) @ (cS @ (cS @ X4))) = $true))) => ($true = (X2 @ X1 @ X0))) <=> ((cDOUBLE @ X1 @ X0) = $true)) & ! [X6,X5] : (((cHALF @ X6 @ X5) = $true) => ((cHALF @ (cS @ (cS @ X6)) @ (cS @ X5)) = $true)) & ((cHALF @ c0 @ c0) = $true)) => ! [X8,X7] : (((cDOUBLE @ X7 @ X8) = $true) => ($true = (cHALF @ X8 @ X7))))), 1.54/0.62 inference(fool_elimination,[],[f4])). 1.54/0.62 thf(f4,plain,( 1.54/0.62 ~((! [X0,X1] : ((cDOUBLE @ X1 @ X0) <=> ! [X2 : $i > $i > $o] : ((! [X3,X4] : ((X2 @ X3 @ X4) => (X2 @ (cS @ X3) @ (cS @ (cS @ X4)))) & (X2 @ c0 @ c0)) => (X2 @ X1 @ X0))) & (cHALF @ c0 @ c0) & (cHALF @ (cS @ c0) @ c0) & ! [X5,X6] : ((cHALF @ X6 @ X5) => (cHALF @ (cS @ (cS @ X6)) @ (cS @ X5)))) => ! [X7,X8] : ((cDOUBLE @ X7 @ X8) => (cHALF @ X8 @ X7)))), 1.54/0.62 inference(rectify,[],[f2])). 1.54/0.62 thf(f2,negated_conjecture,( 1.54/0.62 ~((! [X1,X0] : ((cDOUBLE @ X0 @ X1) <=> ! [X2 : $i > $i > $o] : ((! [X3,X4] : ((X2 @ X3 @ X4) => (X2 @ (cS @ X3) @ (cS @ (cS @ X4)))) & (X2 @ c0 @ c0)) => (X2 @ X0 @ X1))) & (cHALF @ c0 @ c0) & (cHALF @ (cS @ c0) @ c0) & ! [X4,X3] : ((cHALF @ X3 @ X4) => (cHALF @ (cS @ (cS @ X3)) @ (cS @ X4)))) => ! [X0,X1] : ((cDOUBLE @ X0 @ X1) => (cHALF @ X1 @ X0)))), 1.54/0.62 inference(negated_conjecture,[],[f1])). 1.54/0.62 thf(f1,conjecture,( 1.54/0.62 (! [X1,X0] : ((cDOUBLE @ X0 @ X1) <=> ! [X2 : $i > $i > $o] : ((! [X3,X4] : ((X2 @ X3 @ X4) => (X2 @ (cS @ X3) @ (cS @ (cS @ X4)))) & (X2 @ c0 @ c0)) => (X2 @ X0 @ X1))) & (cHALF @ c0 @ c0) & (cHALF @ (cS @ c0) @ c0) & ! [X4,X3] : ((cHALF @ X3 @ X4) => (cHALF @ (cS @ (cS @ X3)) @ (cS @ X4)))) => ! [X0,X1] : ((cDOUBLE @ X0 @ X1) => (cHALF @ X1 @ X0))), 1.54/0.62 file('/export/starexec/sandbox/tmp/tmp.vVUaXxJOMn/Vampire---4.8_15058',cTHM301A)). 1.54/0.62 thf(f260,plain,( 1.54/0.62 ((cDOUBLE @ sK1 @ sK0) != $true) | ~spl5_4), 1.54/0.62 inference(trivial_inequality_removal,[],[f254])). 1.54/0.62 thf(f254,plain,( 1.54/0.62 ($true != $true) | ((cDOUBLE @ sK1 @ sK0) != $true) | ~spl5_4), 1.54/0.62 inference(superposition,[],[f22,f128])). 1.54/0.62 thf(f128,plain,( 1.54/0.62 ( ! [X0 : $i,X1 : $i] : (((cHALF @ X1 @ X0) = $true) | ((cDOUBLE @ X0 @ X1) != $true)) ) | ~spl5_4), 1.54/0.62 inference(avatar_component_clause,[],[f127])). 1.54/0.62 thf(f127,plain,( 1.54/0.62 spl5_4 <=> ! [X0,X1] : (((cDOUBLE @ X0 @ X1) != $true) | ((cHALF @ X1 @ X0) = $true))), 1.54/0.62 introduced(avatar_definition,[new_symbols(naming,[spl5_4])])). 1.54/0.62 thf(f22,plain,( 1.54/0.62 ((cHALF @ sK0 @ sK1) != $true)), 1.54/0.62 inference(cnf_transformation,[],[f13])). 1.54/0.62 thf(f251,plain,( 1.54/0.62 spl5_4 | spl5_3), 1.54/0.62 inference(avatar_split_clause,[],[f250,f123,f127])). 1.54/0.62 thf(f123,plain,( 1.54/0.62 spl5_3 <=> ((cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))) = $true)), 1.54/0.62 introduced(avatar_definition,[new_symbols(naming,[spl5_3])])). 1.54/0.62 thf(f250,plain,( 1.54/0.62 ( ! [X0 : $i,X1 : $i] : (((cDOUBLE @ X0 @ X1) != $true) | ((cHALF @ X1 @ X0) = $true)) ) | spl5_3), 1.54/0.62 inference(subsumption_resolution,[],[f249,f23])). 1.54/0.62 thf(f23,plain,( 1.54/0.62 ((cHALF @ c0 @ c0) = $true)), 1.54/0.62 inference(cnf_transformation,[],[f13])). 1.54/0.62 thf(f249,plain,( 1.54/0.62 ( ! [X0 : $i,X1 : $i] : (((cHALF @ X1 @ X0) = $true) | ((cDOUBLE @ X0 @ X1) != $true) | ((cHALF @ c0 @ c0) != $true)) ) | spl5_3), 1.54/0.62 inference(beta_eta_normalization,[],[f248])). 1.54/0.62 thf(f248,plain,( 1.54/0.62 ( ! [X0 : $i,X1 : $i] : (($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0)) | ((cDOUBLE @ X0 @ X1) != $true) | (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X0 @ X1) = $true)) ) | spl5_3), 1.54/0.62 inference(trivial_inequality_removal,[],[f246])). 1.54/0.62 thf(f246,plain,( 1.54/0.62 ( ! [X0 : $i,X1 : $i] : ((((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X0 @ X1) = $true) | ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0)) | ($true != $true) | ((cDOUBLE @ X0 @ X1) != $true)) ) | spl5_3), 1.54/0.62 inference(superposition,[],[f125,f16])). 1.54/0.62 thf(f16,plain,( 1.54/0.62 ( ! [X2 : $i,X3 : $i,X7 : $i > $i > $o] : (((X7 @ (sK4 @ X7) @ (sK3 @ X7)) = $true) | ((X7 @ X3 @ X2) = $true) | ((cDOUBLE @ X3 @ X2) != $true) | ((X7 @ c0 @ c0) != $true)) )), 1.54/0.62 inference(cnf_transformation,[],[f13])). 1.54/0.62 thf(f125,plain,( 1.54/0.62 ((cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))) != $true) | spl5_3), 1.54/0.62 inference(avatar_component_clause,[],[f123])). 1.54/0.62 thf(f129,plain,( 1.54/0.62 ~spl5_3 | spl5_4), 1.54/0.62 inference(avatar_split_clause,[],[f121,f127,f123])). 1.54/0.62 thf(f121,plain,( 1.54/0.62 ( ! [X0 : $i,X1 : $i] : (((cDOUBLE @ X0 @ X1) != $true) | ((cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))) != $true) | ((cHALF @ X1 @ X0) = $true)) )), 1.54/0.62 inference(subsumption_resolution,[],[f108,f23])). 1.54/0.62 thf(f108,plain,( 1.54/0.62 ( ! [X0 : $i,X1 : $i] : (((cDOUBLE @ X0 @ X1) != $true) | ((cHALF @ c0 @ c0) != $true) | ((cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))) != $true) | ((cHALF @ X1 @ X0) = $true)) )), 1.54/0.62 inference(beta_eta_normalization,[],[f107])). 1.54/0.62 thf(f107,plain,( 1.54/0.62 ( ! [X0 : $i,X1 : $i] : ((((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X0 @ X1) = $true) | ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0)) | ((cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1)))))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))))) != $true) | ((cDOUBLE @ X0 @ X1) != $true)) )), 1.54/0.62 inference(trivial_inequality_removal,[],[f81])). 1.54/0.62 thf(f81,plain,( 1.54/0.62 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ((cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1)))))) @ (sK4 @ (^[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) | ((cDOUBLE @ X0 @ X1) != $true) | ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0))) )), 1.54/0.62 inference(superposition,[],[f17,f14])). 1.54/0.62 thf(f14,plain,( 1.54/0.62 ( ! [X10 : $i,X11 : $i] : (((cHALF @ (cS @ (cS @ X11)) @ (cS @ X10)) = $true) | ((cHALF @ X11 @ X10) != $true)) )), 1.54/0.62 inference(cnf_transformation,[],[f13])). 1.54/0.62 thf(f17,plain,( 1.54/0.62 ( ! [X2 : $i,X3 : $i,X7 : $i > $i > $o] : (($true != (X7 @ (cS @ (sK4 @ X7)) @ (cS @ (cS @ (sK3 @ X7))))) | ((X7 @ c0 @ c0) != $true) | ((cDOUBLE @ X3 @ X2) != $true) | ((X7 @ X3 @ X2) = $true)) )), 1.54/0.62 inference(cnf_transformation,[],[f13])). 1.54/0.62 % SZS output end Proof for Vampire---4 1.54/0.62 % (15331)------------------------------ 1.54/0.62 % (15331)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.54/0.62 % (15331)Termination reason: Refutation 1.54/0.62 1.54/0.62 % (15331)Memory used [KB]: 6012 1.54/0.62 % (15331)Time elapsed: 0.022 s 1.54/0.62 % (15331)Instructions burned: 56 (million) 1.54/0.62 % (15331)------------------------------ 1.54/0.62 % (15331)------------------------------ 1.54/0.62 % (15290)Success in time 0.211 s 1.54/0.62 % Vampire---4.8 exiting 1.54/0.62 EOF