0.12/0.15 % Problem : Vampire---4.8_15148 : TPTP v0.0.0. Released v0.0.0. 0.12/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.18/0.38 % Computer : n017.cluster.edu 0.18/0.38 % Model : x86_64 x86_64 0.18/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.18/0.38 % Memory : 8042.1875MB 0.18/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.18/0.38 % CPULimit : 1440 0.18/0.38 % WCLimit : 180 0.18/0.38 % DateTime : Mon Jul 3 12:19:54 EDT 2023 0.18/0.38 % CPUTime : 0.18/0.38 This is a THF_ problem 0.18/0.39 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/sandbox2/tmp/tmp.J01Z6XIrWA/Vampire---4.8_15148 -m 12000 -t 180 0.18/0.42 % (15363)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.18/0.42 % (15359)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.18/0.42 % (15364)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) 0.18/0.42 % (15362)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) 0.18/0.42 % (15365)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) 0.18/0.42 % (15360)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.18/0.42 % (15367)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) 0.18/0.42 % (15365)Instruction limit reached! 0.18/0.42 % (15365)------------------------------ 0.18/0.42 % (15365)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.18/0.42 % (15365)Termination reason: Unknown 0.18/0.42 % (15365)Termination phase: shuffling 0.18/0.42 0.18/0.42 % (15365)Memory used [KB]: 1407 0.18/0.42 % (15365)Time elapsed: 0.005 s 0.18/0.42 % (15365)Instructions burned: 4 (million) 0.18/0.42 % (15365)------------------------------ 0.18/0.42 % (15365)------------------------------ 0.25/0.43 % (15361)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) 0.25/0.43 % (15363)Instruction limit reached! 0.25/0.43 % (15363)------------------------------ 0.25/0.43 % (15363)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.43 % (15363)Termination reason: Unknown 0.25/0.43 % (15363)Termination phase: shuffling 0.25/0.43 0.25/0.43 % (15363)Memory used [KB]: 1535 0.25/0.43 % (15363)Time elapsed: 0.015 s 0.25/0.43 % (15363)Instructions burned: 17 (million) 0.25/0.43 % (15363)------------------------------ 0.25/0.43 % (15363)------------------------------ 0.25/0.44 % (15360)Instruction limit reached! 0.25/0.44 % (15360)------------------------------ 0.25/0.44 % (15360)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.44 % (15360)Termination reason: Unknown 0.25/0.44 % (15360)Termination phase: Preprocessing 2 0.25/0.44 0.25/0.44 % (15360)Memory used [KB]: 1663 0.25/0.44 % (15360)Time elapsed: 0.023 s 0.25/0.44 % (15360)Instructions burned: 36 (million) 0.25/0.44 % (15360)------------------------------ 0.25/0.44 % (15360)------------------------------ 0.25/0.45 % (15369)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) 0.25/0.45 % (15361)Instruction limit reached! 0.25/0.45 % (15361)------------------------------ 0.25/0.45 % (15361)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.45 % (15361)Termination reason: Unknown 0.25/0.45 % (15361)Termination phase: Preprocessing 2 0.25/0.45 0.25/0.45 % (15361)Memory used [KB]: 1663 0.25/0.45 % (15361)Time elapsed: 0.022 s 0.25/0.45 % (15361)Instructions burned: 34 (million) 0.25/0.45 % (15361)------------------------------ 0.25/0.45 % (15361)------------------------------ 0.25/0.46 % (15376)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) 0.25/0.46 % (15375)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) 0.25/0.47 % (15369)Instruction limit reached! 0.25/0.47 % (15369)------------------------------ 0.25/0.47 % (15369)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.47 % (15369)Termination reason: Unknown 0.25/0.47 % (15369)Termination phase: Property scanning 0.25/0.47 0.25/0.47 % (15369)Memory used [KB]: 1663 0.25/0.47 % (15369)Time elapsed: 0.023 s 0.25/0.47 % (15369)Instructions burned: 22 (million) 0.25/0.47 % (15369)------------------------------ 0.25/0.47 % (15369)------------------------------ 0.25/0.47 % (15374)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.25/0.47 % (15374)Instruction limit reached! 0.25/0.47 % (15374)------------------------------ 0.25/0.47 % (15374)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.47 % (15374)Termination reason: Unknown 0.25/0.47 % (15374)Termination phase: shuffling 0.25/0.47 0.25/0.47 % (15374)Memory used [KB]: 1407 0.25/0.47 % (15374)Time elapsed: 0.007 s 0.25/0.47 % (15374)Instructions burned: 8 (million) 0.25/0.47 % (15374)------------------------------ 0.25/0.47 % (15374)------------------------------ 0.25/0.47 % (15359)Instruction limit reached! 0.25/0.47 % (15359)------------------------------ 0.25/0.47 % (15359)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.47 % (15359)Termination reason: Unknown 0.25/0.47 % (15359)Termination phase: Saturation 0.25/0.47 0.25/0.47 % (15359)Memory used [KB]: 6524 0.25/0.47 % (15359)Time elapsed: 0.056 s 0.25/0.47 % (15359)Instructions burned: 96 (million) 0.25/0.47 % (15359)------------------------------ 0.25/0.47 % (15359)------------------------------ 0.25/0.47 % (15364)Instruction limit reached! 0.25/0.47 % (15364)------------------------------ 0.25/0.47 % (15364)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.47 % (15364)Termination reason: Unknown 0.25/0.47 % (15364)Termination phase: Property scanning 0.25/0.47 0.25/0.47 % (15364)Memory used [KB]: 2174 0.25/0.47 % (15364)Time elapsed: 0.057 s 0.25/0.47 % (15364)Instructions burned: 74 (million) 0.25/0.47 % (15364)------------------------------ 0.25/0.47 % (15364)------------------------------ 0.25/0.50 % (15367)Refutation not found, incomplete strategy 0.25/0.50 % (15367)------------------------------ 0.25/0.50 % (15367)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.50 % (15367)Termination reason: Refutation not found, incomplete strategy 0.25/0.50 0.25/0.50 0.25/0.50 % (15367)Memory used [KB]: 6908 0.25/0.50 % (15367)Time elapsed: 0.065 s 0.25/0.50 % (15367)Instructions burned: 94 (million) 0.25/0.50 % (15367)------------------------------ 0.25/0.50 % (15367)------------------------------ 0.25/0.50 % (15386)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) 0.25/0.50 % (15379)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) 0.25/0.50 % (15388)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.25/0.50 % (15387)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) 0.25/0.51 % (15389)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1798ds/14Mi) 0.25/0.51 % (15379)Instruction limit reached! 0.25/0.51 % (15379)------------------------------ 0.25/0.51 % (15379)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.51 % (15379)Termination reason: Unknown 0.25/0.51 % (15379)Termination phase: shuffling 0.25/0.51 0.25/0.51 % (15379)Memory used [KB]: 1407 0.25/0.51 % (15379)Time elapsed: 0.009 s 0.25/0.51 % (15379)Instructions burned: 9 (million) 0.25/0.51 % (15379)------------------------------ 0.25/0.51 % (15379)------------------------------ 0.25/0.51 % (15389)Instruction limit reached! 0.25/0.51 % (15389)------------------------------ 0.25/0.51 % (15389)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.51 % (15389)Termination reason: Unknown 0.25/0.51 % (15389)Termination phase: shuffling 0.25/0.51 0.25/0.51 % (15389)Memory used [KB]: 1535 0.25/0.51 % (15389)Time elapsed: 0.007 s 0.25/0.51 % (15389)Instructions burned: 15 (million) 0.25/0.51 % (15389)------------------------------ 0.25/0.51 % (15389)------------------------------ 0.25/0.51 % (15376)Instruction limit reached! 0.25/0.51 % (15376)------------------------------ 0.25/0.51 % (15376)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.51 % (15376)Termination reason: Unknown 0.25/0.51 % (15376)Termination phase: Property scanning 0.25/0.51 0.25/0.51 % (15376)Memory used [KB]: 2046 0.25/0.51 % (15376)Time elapsed: 0.052 s 0.25/0.51 % (15376)Instructions burned: 71 (million) 0.25/0.51 % (15376)------------------------------ 0.25/0.51 % (15376)------------------------------ 0.25/0.52 % (15392)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 (1798ds/1041Mi) 0.25/0.52 % (15390)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 (1798ds/2Mi) 0.25/0.52 % (15390)Instruction limit reached! 0.25/0.52 % (15390)------------------------------ 0.25/0.52 % (15390)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.52 % (15390)Termination reason: Unknown 0.25/0.52 % (15390)Termination phase: shuffling 0.25/0.52 0.25/0.52 % (15390)Memory used [KB]: 1279 0.25/0.52 % (15390)Time elapsed: 0.004 s 0.25/0.52 % (15390)Instructions burned: 3 (million) 0.25/0.52 % (15390)------------------------------ 0.25/0.52 % (15390)------------------------------ 0.25/0.52 % (15393)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) 0.25/0.53 % (15393)Instruction limit reached! 0.25/0.53 % (15393)------------------------------ 0.25/0.53 % (15393)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.53 % (15393)Termination reason: Unknown 0.25/0.53 % (15393)Termination phase: shuffling 0.25/0.53 0.25/0.53 % (15393)Memory used [KB]: 1535 0.25/0.53 % (15393)Time elapsed: 0.005 s 0.25/0.53 % (15393)Instructions burned: 12 (million) 0.25/0.53 % (15393)------------------------------ 0.25/0.53 % (15393)------------------------------ 0.25/0.53 % (15388)Instruction limit reached! 0.25/0.53 % (15388)------------------------------ 0.25/0.53 % (15388)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.53 % (15388)Termination reason: Unknown 0.25/0.53 % (15388)Termination phase: Function definition elimination 0.25/0.53 0.25/0.53 % (15388)Memory used [KB]: 2046 0.25/0.53 % (15388)Time elapsed: 0.033 s 0.25/0.53 % (15388)Instructions burned: 61 (million) 0.25/0.53 % (15388)------------------------------ 0.25/0.53 % (15388)------------------------------ 0.25/0.54 % (15395)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) 0.25/0.54 % (15394)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) 0.25/0.54 % (15396)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) 0.25/0.54 % (15395)Instruction limit reached! 0.25/0.54 % (15395)------------------------------ 0.25/0.54 % (15395)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.54 % (15395)Termination reason: Unknown 0.25/0.54 % (15395)Termination phase: shuffling 0.25/0.54 0.25/0.54 % (15395)Memory used [KB]: 1918 0.25/0.54 % (15395)Time elapsed: 0.009 s 0.25/0.54 % (15395)Instructions burned: 27 (million) 0.25/0.54 % (15395)------------------------------ 0.25/0.54 % (15395)------------------------------ 0.25/0.55 % (15387)Instruction limit reached! 0.25/0.55 % (15387)------------------------------ 0.25/0.55 % (15387)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.25/0.55 % (15387)Termination reason: Unknown 0.25/0.55 % (15387)Termination phase: Saturation 0.25/0.55 0.25/0.55 % (15387)Memory used [KB]: 6908 0.25/0.55 % (15387)Time elapsed: 0.047 s 0.25/0.55 % (15387)Instructions burned: 131 (million) 0.25/0.55 % (15387)------------------------------ 0.25/0.55 % (15387)------------------------------ 1.28/0.55 % (15397)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) 1.28/0.56 % (15398)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) 1.28/0.56 % (15396)Instruction limit reached! 1.28/0.56 % (15396)------------------------------ 1.28/0.56 % (15396)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.28/0.56 % (15396)Termination reason: Unknown 1.28/0.56 % (15396)Termination phase: Function definition elimination 1.28/0.56 1.28/0.56 % (15396)Memory used [KB]: 2046 1.28/0.56 % (15396)Time elapsed: 0.020 s 1.28/0.56 % (15396)Instructions burned: 58 (million) 1.28/0.56 % (15396)------------------------------ 1.28/0.56 % (15396)------------------------------ 1.28/0.56 % (15398)Instruction limit reached! 1.28/0.56 % (15398)------------------------------ 1.28/0.56 % (15398)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.28/0.56 % (15398)Termination reason: Unknown 1.28/0.56 % (15398)Termination phase: shuffling 1.28/0.56 1.28/0.56 % (15398)Memory used [KB]: 1407 1.28/0.56 % (15398)Time elapsed: 0.003 s 1.28/0.56 % (15398)Instructions burned: 5 (million) 1.28/0.56 % (15398)------------------------------ 1.28/0.56 % (15398)------------------------------ 1.28/0.57 % (15400)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) 1.28/0.57 % (15401)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) 1.28/0.57 % (15362)First to succeed. 1.28/0.57 % (15362)Refutation found. Thanks to Tanya! 1.28/0.57 % SZS status Theorem for Vampire---4 1.28/0.57 % SZS output start Proof for Vampire---4 1.28/0.57 thf(type_def_5, type, product_prod_nat_nat: $tType). 1.28/0.57 thf(type_def_6, type, capacity: $tType). 1.28/0.57 thf(type_def_8, type, nat: $tType). 1.28/0.57 thf(type_def_9, type, list_P559422087at_nat: $tType). 1.28/0.57 thf(type_def_10, type, set_Pr1986765409at_nat: $tType). 1.28/0.57 thf(type_def_11, type, produc1695820582at_nat: $tType). 1.28/0.57 thf(type_def_12, type, produc2082277813at_nat: $tType). 1.28/0.57 thf(type_def_13, type, produc1190591575at_nat: $tType). 1.28/0.57 thf(type_def_14, type, produc1864880952at_nat: $tType). 1.28/0.57 thf(type_def_15, type, produc1271302400at_nat: $tType). 1.28/0.57 thf(type_def_16, type, produc787001653at_nat: $tType). 1.28/0.57 thf(func_def_0, type, produc1864880952at_nat: $tType). 1.28/0.57 thf(func_def_1, type, produc787001653at_nat: $tType). 1.28/0.57 thf(func_def_2, type, produc2082277813at_nat: $tType). 1.28/0.57 thf(func_def_3, type, produc1190591575at_nat: $tType). 1.28/0.57 thf(func_def_4, type, produc1271302400at_nat: $tType). 1.28/0.57 thf(func_def_5, type, produc1695820582at_nat: $tType). 1.28/0.57 thf(func_def_6, type, list_P559422087at_nat: $tType). 1.28/0.57 thf(func_def_7, type, set_Pr1986765409at_nat: $tType). 1.28/0.57 thf(func_def_8, type, product_prod_nat_nat: $tType). 1.28/0.57 thf(func_def_9, type, capacity: $tType). 1.28/0.57 thf(func_def_10, type, nat: $tType). 1.28/0.57 thf(func_def_11, type, connected_capacity: (product_prod_nat_nat > capacity) > nat > nat > $o). 1.28/0.57 thf(func_def_12, type, dist_capacity: (product_prod_nat_nat > capacity) > nat > nat > nat > $o). 1.28/0.57 thf(func_def_13, type, isPath_capacity: (product_prod_nat_nat > capacity) > nat > list_P559422087at_nat > nat > $o). 1.28/0.57 thf(func_def_14, type, isShor1936442771pacity: (product_prod_nat_nat > capacity) > nat > list_P559422087at_nat > nat > $o). 1.28/0.57 thf(func_def_15, type, isSimp1359852763pacity: (product_prod_nat_nat > capacity) > nat > list_P559422087at_nat > nat > $o). 1.28/0.57 thf(func_def_16, type, min_dist_capacity: (product_prod_nat_nat > capacity) > nat > nat > nat). 1.28/0.57 thf(func_def_17, type, one_one_nat: nat). 1.28/0.57 thf(func_def_18, type, plus_plus_nat: nat > nat > nat). 1.28/0.57 thf(func_def_19, type, nil_Pr1308055047at_nat: list_P559422087at_nat). 1.28/0.57 thf(func_def_20, type, set_Pr2131844118at_nat: list_P559422087at_nat > set_Pr1986765409at_nat). 1.28/0.57 thf(func_def_21, type, size_s1990949619at_nat: list_P559422087at_nat > nat). 1.28/0.57 thf(func_def_22, type, ord_less_nat: nat > nat > $o). 1.28/0.57 thf(func_def_23, type, ord_less_eq_nat: nat > nat > $o). 1.28/0.57 thf(func_def_24, type, produc1682925677at_nat: (nat > nat > nat) > produc1695820582at_nat > produc2082277813at_nat). 1.28/0.57 thf(func_def_25, type, produc696256106at_nat: (nat > product_prod_nat_nat > product_prod_nat_nat) > produc1190591575at_nat > produc1864880952at_nat). 1.28/0.57 thf(func_def_26, type, product_Pair_nat_nat: nat > nat > product_prod_nat_nat). 1.28/0.57 thf(func_def_27, type, produc1933845336at_nat: nat > product_prod_nat_nat > produc1695820582at_nat). 1.28/0.57 thf(func_def_28, type, produc869658639at_nat: nat > produc1695820582at_nat > produc1190591575at_nat). 1.28/0.57 thf(func_def_29, type, produc947540346at_nat: product_prod_nat_nat > nat > produc1271302400at_nat). 1.28/0.57 thf(func_def_30, type, produc365964781at_nat: produc1695820582at_nat > (nat > nat > nat) > produc787001653at_nat). 1.28/0.57 thf(func_def_31, type, produc1728816653at_nat: produc2082277813at_nat > produc787001653at_nat). 1.28/0.57 thf(func_def_32, type, product_swap_nat_nat: product_prod_nat_nat > product_prod_nat_nat). 1.28/0.57 thf(func_def_33, type, produc857968056at_nat: produc1695820582at_nat > produc1271302400at_nat). 1.28/0.57 thf(func_def_34, type, produc2019146714at_nat: produc1271302400at_nat > produc1695820582at_nat). 1.28/0.57 thf(func_def_35, type, produc411855757at_nat: produc787001653at_nat > produc2082277813at_nat). 1.28/0.57 thf(func_def_36, type, collec7649004at_nat: (product_prod_nat_nat > $o) > set_Pr1986765409at_nat). 1.28/0.57 thf(func_def_37, type, member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o). 1.28/0.57 thf(func_def_38, type, c: product_prod_nat_nat > capacity). 1.28/0.57 thf(func_def_39, type, p: list_P559422087at_nat). 1.28/0.57 thf(func_def_40, type, p1: list_P559422087at_nat). 1.28/0.57 thf(func_def_41, type, p2: list_P559422087at_nat). 1.28/0.57 thf(func_def_42, type, p3: list_P559422087at_nat). 1.28/0.57 thf(func_def_43, type, s: nat). 1.28/0.57 thf(func_def_44, type, t: nat). 1.28/0.57 thf(func_def_45, type, u: nat). 1.28/0.57 thf(func_def_46, type, v: nat). 1.28/0.57 thf(func_def_63, type, sP0: nat > nat > nat > $o). 1.28/0.57 thf(func_def_64, type, sP1: nat > nat > nat > $o). 1.28/0.57 thf(func_def_65, type, sP2: nat > nat > nat > $o). 1.28/0.57 thf(func_def_66, type, sK3: (nat > nat) > nat). 1.28/0.57 thf(func_def_67, type, sK4: (nat > nat) > nat). 1.28/0.57 thf(func_def_68, type, sK5: (nat > $o) > nat). 1.28/0.57 thf(func_def_69, type, sK6: nat > (nat > $o) > nat). 1.28/0.57 thf(func_def_70, type, sK7: (nat > nat) > nat). 1.28/0.57 thf(func_def_71, type, sK8: (nat > nat) > nat). 1.28/0.57 thf(func_def_72, type, sK9: (nat > nat) > nat). 1.28/0.57 thf(func_def_73, type, sK10: (nat > nat) > nat). 1.28/0.57 thf(func_def_74, type, sK11: (product_prod_nat_nat > $o) > nat). 1.28/0.57 thf(func_def_75, type, sK12: (product_prod_nat_nat > $o) > nat). 1.28/0.57 thf(func_def_76, type, sK13: (nat > $o) > nat). 1.28/0.57 thf(func_def_77, type, sK14: (nat > $o) > nat). 1.28/0.57 thf(func_def_78, type, sK15: (nat > nat > $o) > nat). 1.28/0.57 thf(func_def_79, type, sK16: (nat > nat > $o) > nat). 1.28/0.57 thf(func_def_80, type, sK17: (nat > nat > $o) > nat). 1.28/0.57 thf(func_def_81, type, sK18: (nat > nat > $o) > nat). 1.28/0.57 thf(func_def_82, type, sK19: product_prod_nat_nat > nat). 1.28/0.57 thf(func_def_83, type, sK20: product_prod_nat_nat > nat). 1.28/0.57 thf(func_def_84, type, sK21: (product_prod_nat_nat > $o) > nat). 1.28/0.57 thf(func_def_85, type, sK22: (product_prod_nat_nat > $o) > nat). 1.28/0.57 thf(func_def_86, type, sK23: nat > nat > nat). 1.28/0.57 thf(func_def_87, type, sK24: (nat > nat) > nat). 1.28/0.57 thf(func_def_88, type, sK25: (nat > nat) > nat). 1.28/0.57 thf(func_def_89, type, sK26: product_prod_nat_nat > nat). 1.28/0.57 thf(func_def_90, type, sK27: product_prod_nat_nat > nat). 1.28/0.57 thf(func_def_91, type, sK28: (nat > nat > $o) > nat). 1.28/0.57 thf(func_def_92, type, sK29: (nat > nat > $o) > nat). 1.28/0.57 thf(func_def_93, type, sK30: (nat > nat > $o) > nat). 1.28/0.57 thf(func_def_94, type, sK31: (nat > nat > $o) > nat). 1.28/0.57 thf(func_def_95, type, sK32: (nat > nat > $o) > nat). 1.28/0.57 thf(func_def_96, type, sK33: (nat > nat) > nat). 1.28/0.57 thf(func_def_97, type, sK34: (nat > nat) > nat). 1.28/0.57 thf(func_def_98, type, sK35: list_P559422087at_nat > nat > nat). 1.28/0.57 thf(func_def_99, type, sK36: (nat > $o) > nat). 1.28/0.57 thf(func_def_100, type, sK37: nat > (nat > $o) > nat). 1.28/0.57 thf(func_def_101, type, sK38: (nat > nat) > nat). 1.28/0.57 thf(func_def_102, type, sK39: (nat > nat) > nat). 1.28/0.57 thf(func_def_103, type, sK40: list_P559422087at_nat > nat > nat). 1.28/0.57 thf(func_def_104, type, sK41: nat > nat > (product_prod_nat_nat > capacity) > nat > nat). 1.28/0.57 thf(func_def_105, type, sK42: nat > nat > nat > nat). 1.28/0.57 thf(func_def_106, type, sK43: nat > list_P559422087at_nat > nat). 1.28/0.57 thf(func_def_107, type, sK44: nat > nat > nat). 1.28/0.57 thf(func_def_108, type, sK45: list_P559422087at_nat > nat > nat). 1.28/0.57 thf(func_def_110, type, ph47: !>[X0: $tType]:(X0)). 1.28/0.57 thf(f1589,plain,( 1.28/0.57 $false), 1.28/0.57 inference(avatar_sat_refutation,[],[f1331,f1582])). 1.28/0.57 thf(f1582,plain,( 1.28/0.57 spl46_3), 1.28/0.57 inference(avatar_contradiction_clause,[],[f1581])). 1.28/0.57 thf(f1581,plain,( 1.28/0.57 $false | spl46_3), 1.28/0.57 inference(subsumption_resolution,[],[f1559,f1322])). 1.28/0.57 thf(f1322,plain,( 1.28/0.57 ((size_s1990949619at_nat @ p) != (plus_plus_nat @ (size_s1990949619at_nat @ p1) @ (plus_plus_nat @ one_one_nat @ (size_s1990949619at_nat @ p2)))) | spl46_3), 1.28/0.57 inference(avatar_component_clause,[],[f1320])). 1.28/0.57 thf(f1320,plain,( 1.28/0.57 spl46_3 <=> ((size_s1990949619at_nat @ p) = (plus_plus_nat @ (size_s1990949619at_nat @ p1) @ (plus_plus_nat @ one_one_nat @ (size_s1990949619at_nat @ p2))))), 1.28/0.57 introduced(avatar_definition,[new_symbols(naming,[spl46_3])])). 1.28/0.57 thf(f1559,plain,( 1.28/0.57 ((size_s1990949619at_nat @ p) = (plus_plus_nat @ (size_s1990949619at_nat @ p1) @ (plus_plus_nat @ one_one_nat @ (size_s1990949619at_nat @ p2))))), 1.28/0.57 inference(superposition,[],[f1199,f1314])). 1.28/0.57 thf(f1314,plain,( 1.28/0.57 ((size_s1990949619at_nat @ p) = (plus_plus_nat @ (plus_plus_nat @ (size_s1990949619at_nat @ p1) @ one_one_nat) @ (size_s1990949619at_nat @ p2)))), 1.28/0.57 inference(backward_demodulation,[],[f1091,f997])). 1.28/0.57 thf(f997,plain,( 1.28/0.57 ((min_dist_capacity @ c @ s @ t) = (size_s1990949619at_nat @ p))), 1.28/0.57 inference(cnf_transformation,[],[f13])). 1.28/0.57 thf(f13,axiom,( 1.28/0.57 ((min_dist_capacity @ c @ s @ t) = (size_s1990949619at_nat @ p))), 1.28/0.57 file('/export/starexec/sandbox2/tmp/tmp.J01Z6XIrWA/Vampire---4.8_15148',fact_4_MIN)). 1.28/0.57 thf(f1091,plain,( 1.28/0.57 ((min_dist_capacity @ c @ s @ t) = (plus_plus_nat @ (plus_plus_nat @ (size_s1990949619at_nat @ p1) @ one_one_nat) @ (size_s1990949619at_nat @ p2)))), 1.28/0.57 inference(cnf_transformation,[],[f98])). 1.28/0.57 thf(f98,axiom,( 1.28/0.57 ((min_dist_capacity @ c @ s @ t) = (plus_plus_nat @ (plus_plus_nat @ (size_s1990949619at_nat @ p1) @ one_one_nat) @ (size_s1990949619at_nat @ p2)))), 1.28/0.57 file('/export/starexec/sandbox2/tmp/tmp.J01Z6XIrWA/Vampire---4.8_15148',fact_0_MIN_H)). 1.28/0.57 thf(f1199,plain,( 1.28/0.57 ( ! [X2 : nat,X3 : nat,X1 : nat] : (((plus_plus_nat @ X2 @ (plus_plus_nat @ X3 @ X1)) = (plus_plus_nat @ (plus_plus_nat @ X2 @ X3) @ X1))) )), 1.28/0.57 inference(equality_resolution,[],[f1053])). 1.28/0.57 thf(f1053,plain,( 1.28/0.57 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat] : (((plus_plus_nat @ X2 @ X3) != X0) | ((plus_plus_nat @ X2 @ (plus_plus_nat @ X3 @ X1)) = (plus_plus_nat @ X0 @ X1))) )), 1.28/0.57 inference(cnf_transformation,[],[f843])). 1.28/0.57 thf(f843,plain,( 1.28/0.57 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat] : (((plus_plus_nat @ X2 @ X3) != X0) | ((plus_plus_nat @ X2 @ (plus_plus_nat @ X3 @ X1)) = (plus_plus_nat @ X0 @ X1)))), 1.28/0.57 inference(ennf_transformation,[],[f667])). 1.28/0.57 thf(f667,plain,( 1.28/0.57 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat] : (((plus_plus_nat @ X2 @ X3) = X0) => ((plus_plus_nat @ X2 @ (plus_plus_nat @ X3 @ X1)) = (plus_plus_nat @ X0 @ X1)))), 1.28/0.57 inference(rectify,[],[f165])). 1.28/0.57 thf(f165,axiom,( 1.28/0.57 ! [X54 : nat,X16 : nat,X29 : nat,X15 : nat] : (((plus_plus_nat @ X29 @ X15) = X54) => ((plus_plus_nat @ X29 @ (plus_plus_nat @ X15 @ X16)) = (plus_plus_nat @ X54 @ X16)))), 1.28/0.57 file('/export/starexec/sandbox2/tmp/tmp.J01Z6XIrWA/Vampire---4.8_15148',fact_26_group__cancel_Oadd1)). 1.28/0.57 thf(f1331,plain,( 1.28/0.57 ~spl46_3), 1.28/0.57 inference(avatar_split_clause,[],[f1330,f1320])). 1.28/0.57 thf(f1330,plain,( 1.28/0.57 ((size_s1990949619at_nat @ p) != (plus_plus_nat @ (size_s1990949619at_nat @ p1) @ (plus_plus_nat @ one_one_nat @ (size_s1990949619at_nat @ p2))))), 1.28/0.57 inference(forward_demodulation,[],[f1329,f997])). 1.28/0.57 thf(f1329,plain,( 1.28/0.57 ((min_dist_capacity @ c @ s @ t) != (plus_plus_nat @ (size_s1990949619at_nat @ p1) @ (plus_plus_nat @ one_one_nat @ (size_s1990949619at_nat @ p2))))), 1.28/0.57 inference(subsumption_resolution,[],[f1029,f1095])). 1.28/0.57 thf(f1095,plain,( 1.28/0.57 ((min_dist_capacity @ c @ u @ t) != (plus_plus_nat @ one_one_nat @ (size_s1990949619at_nat @ p2)))), 1.28/0.57 inference(cnf_transformation,[],[f666])). 1.28/0.57 thf(f666,plain,( 1.28/0.57 ((min_dist_capacity @ c @ u @ t) != (plus_plus_nat @ one_one_nat @ (size_s1990949619at_nat @ p2)))), 1.28/0.57 inference(flattening,[],[f72])). 1.28/0.57 thf(f72,negated_conjecture,( 1.28/0.57 ~((min_dist_capacity @ c @ u @ t) = (plus_plus_nat @ one_one_nat @ (size_s1990949619at_nat @ p2)))), 1.28/0.57 inference(negated_conjecture,[],[f71])). 1.28/0.57 thf(f71,conjecture,( 1.28/0.57 ((min_dist_capacity @ c @ u @ t) = (plus_plus_nat @ one_one_nat @ (size_s1990949619at_nat @ p2)))), 1.28/0.57 file('/export/starexec/sandbox2/tmp/tmp.J01Z6XIrWA/Vampire---4.8_15148',conj_0)). 1.28/0.57 thf(f1029,plain,( 1.28/0.57 ((min_dist_capacity @ c @ s @ t) != (plus_plus_nat @ (size_s1990949619at_nat @ p1) @ (plus_plus_nat @ one_one_nat @ (size_s1990949619at_nat @ p2)))) | ((min_dist_capacity @ c @ u @ t) = (plus_plus_nat @ one_one_nat @ (size_s1990949619at_nat @ p2)))), 1.28/0.57 inference(cnf_transformation,[],[f839])). 1.28/0.57 thf(f839,plain,( 1.28/0.57 ((min_dist_capacity @ c @ u @ t) = (plus_plus_nat @ one_one_nat @ (size_s1990949619at_nat @ p2))) | ((min_dist_capacity @ c @ s @ t) != (plus_plus_nat @ (size_s1990949619at_nat @ p1) @ (plus_plus_nat @ one_one_nat @ (size_s1990949619at_nat @ p2))))), 1.28/0.57 inference(ennf_transformation,[],[f236])). 1.28/0.57 thf(f236,axiom,( 1.28/0.57 ((min_dist_capacity @ c @ s @ t) = (plus_plus_nat @ (size_s1990949619at_nat @ p1) @ (plus_plus_nat @ one_one_nat @ (size_s1990949619at_nat @ p2)))) => ((min_dist_capacity @ c @ u @ t) = (plus_plus_nat @ one_one_nat @ (size_s1990949619at_nat @ p2)))), 1.28/0.57 file('/export/starexec/sandbox2/tmp/tmp.J01Z6XIrWA/Vampire---4.8_15148',fact_2__092_060open_062min__dist_As_At_A_061_Alength_Ap1_A_L_A_I1_A_L_Alength_Ap2_J_A_092_060Longrightarrow_062_Amin__dist_Au_At_A_061_A1_A_L_Alength_Ap2_092_060close_062)). 1.28/0.57 % SZS output end Proof for Vampire---4 1.28/0.57 % (15362)------------------------------ 1.28/0.57 % (15362)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.28/0.57 % (15362)Termination reason: Refutation 1.28/0.57 1.28/0.57 % (15362)Memory used [KB]: 7036 1.28/0.57 % (15362)Time elapsed: 0.148 s 1.28/0.57 % (15362)Instructions burned: 234 (million) 1.28/0.57 % (15362)------------------------------ 1.28/0.57 % (15362)------------------------------ 1.28/0.57 % (15355)Success in time 0.168 s 1.28/0.57 % Vampire---4.8 exiting 1.28/0.57 EOF