0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n022.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 03:22:49 EDT 2025 0.12/0.33 % CPUTime : 0.12/0.35 This is a THF_ problem 0.12/0.35 Running higher-order theorem proving 0.20/0.39 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.468fJCBYAg/E---3.1_23561.p -m 16384 -t 240 0.20/0.40 ipcrm: permission denied for id (73072640) 0.20/0.40 ipcrm: permission denied for id (73105410) 0.20/0.41 ipcrm: permission denied for id (73269259) 0.20/0.42 ipcrm: permission denied for id (73334796) 0.20/0.42 ipcrm: permission denied for id (73433103) 0.20/0.42 ipcrm: permission denied for id (73465872) 0.20/0.42 ipcrm: permission denied for id (73498641) 0.20/0.42 ipcrm: permission denied for id (74416146) 0.20/0.43 ipcrm: permission denied for id (74547222) 0.20/0.43 ipcrm: permission denied for id (74612760) 0.20/0.43 ipcrm: permission denied for id (74678298) 0.20/0.43 ipcrm: permission denied for id (74743837) 0.20/0.44 ipcrm: permission denied for id (74776606) 0.20/0.44 ipcrm: permission denied for id (74842144) 0.24/0.44 ipcrm: permission denied for id (74907686) 0.24/0.45 ipcrm: permission denied for id (74973226) 0.24/0.45 ipcrm: permission denied for id (75005996) 0.24/0.45 ipcrm: permission denied for id (75071535) 0.24/0.46 ipcrm: permission denied for id (75104304) 0.24/0.46 ipcrm: permission denied for id (75202614) 0.24/0.47 ipcrm: permission denied for id (75333690) 0.24/0.47 ipcrm: permission denied for id (75399228) 0.24/0.47 ipcrm: permission denied for id (75464766) 0.24/0.47 ipcrm: permission denied for id (75595840) 0.24/0.48 ipcrm: permission denied for id (75661380) 0.24/0.48 ipcrm: permission denied for id (75694149) 0.24/0.48 ipcrm: permission denied for id (75759687) 0.24/0.48 ipcrm: permission denied for id (75825225) 0.24/0.49 ipcrm: permission denied for id (75857995) 0.24/0.49 ipcrm: permission denied for id (75890764) 0.24/0.49 ipcrm: permission denied for id (76021842) 0.24/0.50 ipcrm: permission denied for id (76087379) 0.24/0.50 ipcrm: permission denied for id (76152919) 0.24/0.50 ipcrm: permission denied for id (76185688) 0.24/0.50 ipcrm: permission denied for id (76283995) 0.24/0.51 ipcrm: permission denied for id (76382306) 0.24/0.51 ipcrm: permission denied for id (76447844) 0.24/0.52 ipcrm: permission denied for id (76578921) 0.24/0.52 ipcrm: permission denied for id (76644459) 0.24/0.53 ipcrm: permission denied for id (76677230) 0.24/0.53 ipcrm: permission denied for id (76775542) 0.24/0.54 ipcrm: permission denied for id (76906618) 0.24/0.54 ipcrm: permission denied for id (76972155) 0.42/0.58 % (23806)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on E---3.1_23561 for (2398ds/275Mi) 0.42/0.58 % (23802)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 E---3.1_23561 for (2398ds/4Mi) 0.42/0.58 % (23805)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on E---3.1_23561 for (2398ds/2Mi) 0.42/0.58 % (23801)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_23561 for (2398ds/183Mi) 0.42/0.58 % (23804)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_23561 for (2398ds/2Mi) 0.42/0.58 % (23807)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_23561 for (2398ds/18Mi) 0.42/0.58 % (23803)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on E---3.1_23561 for (2398ds/27Mi) 0.42/0.58 % (23804)Instruction limit reached! 0.42/0.58 % (23804)------------------------------ 0.42/0.58 % (23804)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.42/0.58 % (23804)Termination reason: Unknown 0.42/0.58 % (23804)Termination phase: shuffling 0.42/0.58 % (23805)Instruction limit reached! 0.42/0.58 % (23805)------------------------------ 0.42/0.58 % (23805)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.42/0.58 % (23805)Termination reason: Unknown 0.42/0.58 % (23805)Termination phase: shuffling 0.42/0.58 0.42/0.58 % (23805)Memory used [KB]: 1407 0.42/0.58 % (23805)Time elapsed: 0.004 s 0.42/0.58 % (23805)Instructions burned: 2 (million) 0.42/0.58 % (23805)------------------------------ 0.42/0.58 % (23805)------------------------------ 0.42/0.58 0.42/0.58 % (23804)Memory used [KB]: 1279 0.42/0.58 % (23804)Time elapsed: 0.003 s 0.42/0.58 % (23804)Instructions burned: 2 (million) 0.42/0.58 % (23804)------------------------------ 0.42/0.58 % (23804)------------------------------ 0.42/0.58 % (23802)Instruction limit reached! 0.42/0.58 % (23802)------------------------------ 0.42/0.58 % (23802)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.42/0.58 % (23802)Termination reason: Unknown 0.42/0.58 % (23802)Termination phase: shuffling 0.42/0.58 0.42/0.58 % (23802)Memory used [KB]: 1407 0.42/0.58 % (23802)Time elapsed: 0.004 s 0.42/0.58 % (23802)Instructions burned: 4 (million) 0.42/0.58 % (23802)------------------------------ 0.42/0.58 % (23802)------------------------------ 0.42/0.59 % (23807)Instruction limit reached! 0.42/0.59 % (23807)------------------------------ 0.42/0.59 % (23807)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.42/0.59 % (23807)Termination reason: Unknown 0.42/0.59 % (23807)Termination phase: shuffling 0.42/0.59 0.42/0.59 % (23807)Memory used [KB]: 1535 0.42/0.59 % (23807)Time elapsed: 0.012 s 0.42/0.59 % (23807)Instructions burned: 19 (million) 0.42/0.59 % (23807)------------------------------ 0.42/0.59 % (23807)------------------------------ 0.42/0.60 % (23803)Instruction limit reached! 0.42/0.60 % (23803)------------------------------ 0.42/0.60 % (23803)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.42/0.60 % (23803)Termination reason: Unknown 0.42/0.60 % (23803)Termination phase: shuffling 0.42/0.60 0.42/0.60 % (23803)Memory used [KB]: 1791 0.42/0.60 % (23803)Time elapsed: 0.016 s 0.42/0.60 % (23803)Instructions burned: 28 (million) 0.42/0.60 % (23803)------------------------------ 0.42/0.60 % (23803)------------------------------ 0.42/0.60 % (23809)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on E---3.1_23561 for (2398ds/37Mi) 0.42/0.60 % (23808)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on E---3.1_23561 for (2398ds/3Mi) 0.42/0.60 % (23810)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on E---3.1_23561 for (2398ds/15Mi) 0.42/0.60 % (23808)Instruction limit reached! 0.42/0.60 % (23808)------------------------------ 0.42/0.60 % (23808)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.42/0.60 % (23808)Termination reason: Unknown 0.42/0.60 % (23808)Termination phase: shuffling 0.42/0.60 0.42/0.60 % (23808)Memory used [KB]: 1407 0.42/0.60 % (23808)Time elapsed: 0.004 s 0.42/0.60 % (23808)Instructions burned: 3 (million) 0.42/0.60 % (23808)------------------------------ 0.42/0.60 % (23808)------------------------------ 0.42/0.61 % (23811)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on E---3.1_23561 for (2398ds/3Mi) 0.42/0.61 % (23810)Instruction limit reached! 0.42/0.61 % (23810)------------------------------ 0.42/0.61 % (23810)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.42/0.61 % (23810)Termination reason: Unknown 0.42/0.61 % (23810)Termination phase: shuffling 0.42/0.61 0.42/0.61 % (23810)Memory used [KB]: 1535 0.42/0.61 % (23810)Time elapsed: 0.010 s 0.42/0.61 % (23810)Instructions burned: 15 (million) 0.42/0.61 % (23810)------------------------------ 0.42/0.61 % (23810)------------------------------ 0.42/0.61 % (23811)Instruction limit reached! 0.42/0.61 % (23811)------------------------------ 0.42/0.61 % (23811)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.42/0.61 % (23811)Termination reason: Unknown 0.42/0.61 % (23811)Termination phase: shuffling 0.42/0.61 0.42/0.61 % (23811)Memory used [KB]: 1407 0.42/0.61 % (23811)Time elapsed: 0.004 s 0.42/0.61 % (23811)Instructions burned: 3 (million) 0.42/0.61 % (23811)------------------------------ 0.42/0.61 % (23811)------------------------------ 0.42/0.61 % (23812)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 E---3.1_23561 for (2398ds/1041Mi) 0.42/0.61 % (23806)Refutation not found, incomplete strategy 0.42/0.61 % (23806)------------------------------ 0.42/0.61 % (23806)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.42/0.61 % (23806)Termination reason: Refutation not found, incomplete strategy 0.42/0.61 0.42/0.61 0.42/0.61 % (23806)Memory used [KB]: 6524 0.42/0.61 % (23806)Time elapsed: 0.033 s 0.42/0.61 % (23806)Instructions burned: 68 (million) 0.42/0.61 % (23806)------------------------------ 0.42/0.61 % (23806)------------------------------ 0.42/0.62 % (23813)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_23561 for (2398ds/7Mi) 0.42/0.62 % (23809)Instruction limit reached! 0.42/0.62 % (23809)------------------------------ 0.42/0.62 % (23809)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.42/0.62 % (23809)Termination reason: Unknown 0.42/0.62 % (23809)Termination phase: Property scanning 0.42/0.62 0.42/0.62 % (23809)Memory used [KB]: 1918 0.42/0.62 % (23809)Time elapsed: 0.020 s 0.42/0.62 % (23809)Instructions burned: 37 (million) 0.42/0.62 % (23809)------------------------------ 0.42/0.62 % (23809)------------------------------ 0.42/0.62 % (23813)Instruction limit reached! 0.42/0.62 % (23813)------------------------------ 0.42/0.62 % (23813)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.42/0.62 % (23813)Termination reason: Unknown 0.42/0.62 % (23813)Termination phase: shuffling 0.42/0.62 0.42/0.62 % (23813)Memory used [KB]: 1407 0.42/0.62 % (23813)Time elapsed: 0.006 s 0.42/0.62 % (23813)Instructions burned: 7 (million) 0.42/0.62 % (23813)------------------------------ 0.42/0.62 % (23813)------------------------------ 0.42/0.62 % (23816)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 E---3.1_23561 for (2397ds/3Mi) 0.42/0.62 % (23814)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_23561 for (2397ds/16Mi) 0.42/0.62 % (23815)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on E---3.1_23561 for (2397ds/3Mi) 0.42/0.62 % (23816)Instruction limit reached! 0.42/0.62 % (23816)------------------------------ 0.42/0.62 % (23816)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.42/0.62 % (23816)Termination reason: Unknown 0.42/0.62 % (23816)Termination phase: shuffling 0.42/0.62 0.42/0.62 % (23816)Memory used [KB]: 1407 0.42/0.62 % (23816)Time elapsed: 0.003 s 0.42/0.62 % (23816)Instructions burned: 4 (million) 0.42/0.62 % (23816)------------------------------ 0.42/0.62 % (23816)------------------------------ 0.42/0.63 % (23815)Instruction limit reached! 0.42/0.63 % (23815)------------------------------ 0.42/0.63 % (23815)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.42/0.63 % (23815)Termination reason: Unknown 0.42/0.63 % (23815)Termination phase: shuffling 0.42/0.63 0.42/0.63 % (23815)Memory used [KB]: 1407 0.42/0.63 % (23815)Time elapsed: 0.003 s 0.42/0.63 % (23815)Instructions burned: 3 (million) 0.42/0.63 % (23815)------------------------------ 0.42/0.63 % (23815)------------------------------ 0.71/0.63 % (23814)Instruction limit reached! 0.71/0.63 % (23814)------------------------------ 0.71/0.63 % (23814)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.71/0.63 % (23814)Termination reason: Unknown 0.71/0.63 % (23814)Termination phase: shuffling 0.71/0.63 0.71/0.63 % (23814)Memory used [KB]: 1535 0.71/0.63 % (23814)Time elapsed: 0.010 s 0.71/0.63 % (23814)Instructions burned: 16 (million) 0.71/0.63 % (23814)------------------------------ 0.71/0.63 % (23814)------------------------------ 0.71/0.63 % (23817)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on E---3.1_23561 for (2397ds/7Mi) 0.71/0.63 % (23819)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_23561 for (2397ds/4Mi) 0.71/0.63 % (23820)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on E---3.1_23561 for (2397ds/18Mi) 0.71/0.63 % (23819)Instruction limit reached! 0.71/0.63 % (23819)------------------------------ 0.71/0.63 % (23819)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.71/0.63 % (23819)Termination reason: Unknown 0.71/0.64 % (23819)Termination phase: shuffling 0.71/0.64 0.71/0.64 % (23819)Memory used [KB]: 1407 0.71/0.64 % (23819)Time elapsed: 0.003 s 0.71/0.64 % (23819)Instructions burned: 5 (million) 0.71/0.64 % (23819)------------------------------ 0.71/0.64 % (23819)------------------------------ 0.71/0.64 % (23818)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on E---3.1_23561 for (2397ds/3Mi) 0.71/0.64 % (23817)Instruction limit reached! 0.71/0.64 % (23817)------------------------------ 0.71/0.64 % (23817)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.71/0.64 % (23817)Termination reason: Unknown 0.71/0.64 % (23817)Termination phase: shuffling 0.71/0.64 0.71/0.64 % (23817)Memory used [KB]: 1535 0.71/0.64 % (23817)Time elapsed: 0.006 s 0.71/0.64 % (23817)Instructions burned: 8 (million) 0.71/0.64 % (23817)------------------------------ 0.71/0.64 % (23817)------------------------------ 0.71/0.64 % (23818)Instruction limit reached! 0.71/0.64 % (23818)------------------------------ 0.71/0.64 % (23818)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.71/0.64 % (23818)Termination reason: Unknown 0.71/0.64 % (23818)Termination phase: shuffling 0.71/0.64 0.71/0.64 % (23818)Memory used [KB]: 1407 0.71/0.64 % (23818)Time elapsed: 0.004 s 0.71/0.64 % (23818)Instructions burned: 4 (million) 0.71/0.64 % (23818)------------------------------ 0.71/0.64 % (23818)------------------------------ 0.71/0.64 % (23820)Instruction limit reached! 0.71/0.64 % (23820)------------------------------ 0.71/0.64 % (23820)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.71/0.64 % (23820)Termination reason: Unknown 0.71/0.64 % (23820)Termination phase: shuffling 0.71/0.64 0.71/0.64 % (23820)Memory used [KB]: 1535 0.71/0.64 % (23820)Time elapsed: 0.007 s 0.71/0.64 % (23820)Instructions burned: 18 (million) 0.71/0.64 % (23820)------------------------------ 0.71/0.64 % (23820)------------------------------ 0.71/0.64 % (23822)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_23561 for (2397ds/6Mi) 0.71/0.65 % (23822)Instruction limit reached! 0.71/0.65 % (23822)------------------------------ 0.71/0.65 % (23822)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.71/0.65 % (23822)Termination reason: Unknown 0.71/0.65 % (23822)Termination phase: shuffling 0.71/0.65 0.71/0.65 % (23822)Memory used [KB]: 1407 0.71/0.65 % (23822)Time elapsed: 0.004 s 0.71/0.65 % (23822)Instructions burned: 8 (million) 0.71/0.65 % (23822)------------------------------ 0.71/0.65 % (23822)------------------------------ 0.71/0.65 % (23821)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_23561 for (2397ds/710Mi) 0.71/0.65 % (23825)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_23561 for (2397ds/5Mi) 0.71/0.65 % (23825)Instruction limit reached! 0.71/0.65 % (23825)------------------------------ 0.71/0.65 % (23825)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.71/0.65 % (23825)Termination reason: Unknown 0.71/0.65 % (23825)Termination phase: shuffling 0.71/0.65 0.71/0.65 % (23825)Memory used [KB]: 1407 0.71/0.65 % (23825)Time elapsed: 0.003 s 0.71/0.65 % (23825)Instructions burned: 5 (million) 0.71/0.65 % (23825)------------------------------ 0.71/0.65 % (23825)------------------------------ 0.71/0.65 % (23823)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on E---3.1_23561 for (2397ds/902Mi) 0.71/0.65 % (23824)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 E---3.1_23561 for (2397ds/21Mi) 0.71/0.66 % (23826)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on E---3.1_23561 for (2397ds/6Mi) 0.81/0.66 % (23826)Instruction limit reached! 0.81/0.66 % (23826)------------------------------ 0.81/0.66 % (23826)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.81/0.66 % (23826)Termination reason: Unknown 0.81/0.66 % (23826)Termination phase: shuffling 0.81/0.66 0.81/0.66 % (23826)Memory used [KB]: 1535 0.81/0.66 % (23826)Time elapsed: 0.004 s 0.81/0.66 % (23826)Instructions burned: 8 (million) 0.81/0.66 % (23826)------------------------------ 0.81/0.66 % (23826)------------------------------ 0.81/0.66 % (23827)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_23561 for (2397ds/377Mi) 0.81/0.67 % (23824)Instruction limit reached! 0.81/0.67 % (23824)------------------------------ 0.81/0.67 % (23824)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.81/0.67 % (23824)Termination reason: Unknown 0.81/0.67 % (23824)Termination phase: shuffling 0.81/0.67 0.81/0.67 % (23824)Memory used [KB]: 1791 0.81/0.67 % (23824)Time elapsed: 0.013 s 0.81/0.67 % (23824)Instructions burned: 22 (million) 0.81/0.67 % (23824)------------------------------ 0.81/0.67 % (23824)------------------------------ 0.81/0.67 % (23828)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=779:si=on:rtra=on_0 on E---3.1_23561 for (2397ds/779Mi) 0.81/0.67 % (23801)Instruction limit reached! 0.81/0.67 % (23801)------------------------------ 0.81/0.67 % (23801)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.81/0.67 % (23801)Termination reason: Unknown 0.81/0.67 % (23801)Termination phase: Saturation 0.81/0.67 0.81/0.67 % (23801)Memory used [KB]: 6908 0.81/0.67 % (23801)Time elapsed: 0.088 s 0.81/0.67 % (23801)Instructions burned: 183 (million) 0.81/0.67 % (23801)------------------------------ 0.81/0.67 % (23801)------------------------------ 0.81/0.68 % (23829)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 E---3.1_23561 for (2397ds/19Mi) 0.81/0.68 % (23823)Refutation not found, incomplete strategy 0.81/0.68 % (23823)------------------------------ 0.81/0.68 % (23823)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.81/0.68 % (23823)Termination reason: Refutation not found, incomplete strategy 0.81/0.68 0.81/0.68 0.81/0.68 % (23823)Memory used [KB]: 6652 0.81/0.68 % (23823)Time elapsed: 0.031 s 0.81/0.68 % (23823)Instructions burned: 95 (million) 0.81/0.68 % (23823)------------------------------ 0.81/0.68 % (23823)------------------------------ 0.81/0.68 % (23829)Instruction limit reached! 0.81/0.68 % (23829)------------------------------ 0.81/0.68 % (23829)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.81/0.68 % (23829)Termination reason: Unknown 0.81/0.68 % (23829)Termination phase: shuffling 0.81/0.68 0.81/0.68 % (23829)Memory used [KB]: 1791 0.81/0.68 % (23829)Time elapsed: 0.008 s 0.81/0.68 % (23829)Instructions burned: 22 (million) 0.81/0.68 % (23829)------------------------------ 0.81/0.68 % (23829)------------------------------ 0.81/0.68 % (23830)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on E---3.1_23561 for (2397ds/879Mi) 0.81/0.69 % (23831)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_23561 for (2397ds/17Mi) 0.81/0.69 % (23832)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_23561 for (2397ds/3Mi) 0.81/0.69 % (23832)Instruction limit reached! 0.81/0.69 % (23832)------------------------------ 0.81/0.69 % (23832)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.81/0.69 % (23832)Termination reason: Unknown 0.81/0.69 % (23832)Termination phase: shuffling 0.81/0.69 0.81/0.69 % (23832)Memory used [KB]: 1407 0.81/0.69 % (23832)Time elapsed: 0.003 s 0.81/0.69 % (23832)Instructions burned: 4 (million) 0.81/0.69 % (23832)------------------------------ 0.81/0.69 % (23832)------------------------------ 0.81/0.70 % (23831)Instruction limit reached! 0.81/0.70 % (23831)------------------------------ 0.81/0.70 % (23831)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.81/0.70 % (23831)Termination reason: Unknown 0.81/0.70 % (23831)Termination phase: shuffling 0.81/0.70 0.81/0.70 % (23831)Memory used [KB]: 1535 0.81/0.70 % (23831)Time elapsed: 0.007 s 0.81/0.70 % (23831)Instructions burned: 19 (million) 0.81/0.70 % (23831)------------------------------ 0.81/0.70 % (23831)------------------------------ 0.81/0.70 % (23833)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_23561 for (2397ds/30Mi) 0.81/0.71 % (23834)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on E---3.1_23561 for (2396ds/127Mi) 0.81/0.71 % (23833)Instruction limit reached! 0.81/0.71 % (23833)------------------------------ 0.81/0.71 % (23833)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.81/0.71 % (23833)Termination reason: Unknown 0.81/0.71 % (23833)Termination phase: shuffling 0.81/0.71 0.81/0.71 % (23833)Memory used [KB]: 1918 0.81/0.71 % (23833)Time elapsed: 0.011 s 0.81/0.71 % (23833)Instructions burned: 32 (million) 0.81/0.71 % (23833)------------------------------ 0.81/0.71 % (23833)------------------------------ 0.81/0.71 % (23821)Refutation not found, incomplete strategy 0.81/0.71 % (23821)------------------------------ 0.81/0.71 % (23821)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.81/0.71 % (23821)Termination reason: Refutation not found, incomplete strategy 0.81/0.71 0.81/0.71 0.81/0.71 % (23821)Memory used [KB]: 7036 0.81/0.71 % (23821)Time elapsed: 0.090 s 0.81/0.71 % (23821)Instructions burned: 156 (million) 0.81/0.71 % (23821)------------------------------ 0.81/0.71 % (23821)------------------------------ 0.81/0.72 % (23835)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on E---3.1_23561 for (2396ds/100Mi) 1.14/0.72 % (23836)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on E---3.1_23561 for (2396ds/3Mi) 1.14/0.73 % (23836)Instruction limit reached! 1.14/0.73 % (23836)------------------------------ 1.14/0.73 % (23836)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.14/0.73 % (23836)Termination reason: Unknown 1.14/0.73 % (23836)Termination phase: shuffling 1.14/0.73 1.14/0.73 % (23836)Memory used [KB]: 1407 1.14/0.73 % (23836)Time elapsed: 0.003 s 1.14/0.73 % (23836)Instructions burned: 4 (million) 1.14/0.73 % (23836)------------------------------ 1.14/0.73 % (23836)------------------------------ 1.14/0.73 % (23837)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on E---3.1_23561 for (2396ds/20Mi) 1.14/0.74 % (23834)Instruction limit reached! 1.14/0.74 % (23834)------------------------------ 1.14/0.74 % (23834)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.14/0.74 % (23834)Termination reason: Unknown 1.14/0.74 % (23834)Termination phase: Property scanning 1.14/0.74 1.14/0.74 % (23834)Memory used [KB]: 2430 1.14/0.74 % (23834)Time elapsed: 0.036 s 1.14/0.74 % (23834)Instructions burned: 129 (million) 1.14/0.74 % (23834)------------------------------ 1.14/0.74 % (23834)------------------------------ 1.14/0.74 % (23837)Instruction limit reached! 1.14/0.74 % (23837)------------------------------ 1.14/0.74 % (23837)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.14/0.74 % (23837)Termination reason: Unknown 1.14/0.74 % (23837)Termination phase: shuffling 1.14/0.74 1.14/0.74 % (23837)Memory used [KB]: 1791 1.14/0.74 % (23837)Time elapsed: 0.008 s 1.14/0.74 % (23837)Instructions burned: 21 (million) 1.14/0.74 % (23837)------------------------------ 1.14/0.74 % (23837)------------------------------ 1.14/0.75 % (23835)Instruction limit reached! 1.14/0.75 % (23835)------------------------------ 1.14/0.75 % (23835)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.14/0.75 % (23835)Termination reason: Unknown 1.14/0.75 % (23835)Termination phase: Property scanning 1.14/0.75 1.14/0.75 % (23835)Memory used [KB]: 2430 1.14/0.75 % (23835)Time elapsed: 0.028 s 1.14/0.75 % (23835)Instructions burned: 100 (million) 1.14/0.75 % (23835)------------------------------ 1.14/0.75 % (23835)------------------------------ 1.14/0.75 % (23838)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on E---3.1_23561 for (2396ds/86Mi) 1.14/0.75 % (23839)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on E---3.1_23561 for (2396ds/107Mi) 1.14/0.76 % (23840)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on E---3.1_23561 for (2396ds/39Mi) 1.25/0.77 % (23827)Instruction limit reached! 1.25/0.77 % (23827)------------------------------ 1.25/0.77 % (23827)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.25/0.77 % (23827)Termination reason: Unknown 1.25/0.77 % (23827)Termination phase: Saturation 1.25/0.77 1.25/0.77 % (23827)Memory used [KB]: 7291 1.25/0.77 % (23827)Time elapsed: 0.109 s 1.25/0.77 % (23827)Instructions burned: 377 (million) 1.25/0.77 % (23827)------------------------------ 1.25/0.77 % (23827)------------------------------ 1.25/0.77 % (23840)Instruction limit reached! 1.25/0.77 % (23840)------------------------------ 1.25/0.77 % (23840)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.25/0.77 % (23840)Termination reason: Unknown 1.25/0.77 % (23840)Termination phase: Property scanning 1.25/0.77 1.25/0.77 % (23840)Memory used [KB]: 1918 1.25/0.77 % (23840)Time elapsed: 0.013 s 1.25/0.77 % (23840)Instructions burned: 40 (million) 1.25/0.77 % (23840)------------------------------ 1.25/0.77 % (23840)------------------------------ 1.25/0.77 % (23838)Instruction limit reached! 1.25/0.77 % (23838)------------------------------ 1.25/0.77 % (23838)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.25/0.77 % (23838)Termination reason: Unknown 1.25/0.77 % (23838)Termination phase: Function definition elimination 1.25/0.77 1.25/0.77 % (23838)Memory used [KB]: 2046 1.25/0.77 % (23838)Time elapsed: 0.025 s 1.25/0.77 % (23838)Instructions burned: 87 (million) 1.25/0.77 % (23838)------------------------------ 1.25/0.77 % (23838)------------------------------ 1.25/0.78 % (23830)Refutation not found, incomplete strategy 1.25/0.78 % (23830)------------------------------ 1.25/0.78 % (23830)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.25/0.78 % (23830)Termination reason: Refutation not found, incomplete strategy 1.25/0.78 1.25/0.78 1.25/0.78 % (23830)Memory used [KB]: 7931 1.25/0.78 % (23830)Time elapsed: 0.094 s 1.25/0.78 % (23830)Instructions burned: 325 (million) 1.25/0.78 % (23830)------------------------------ 1.25/0.78 % (23830)------------------------------ 1.25/0.78 % (23841)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on E---3.1_23561 for (2396ds/448Mi) 1.25/0.78 % (23842)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on E---3.1_23561 for (2396ds/46Mi) 1.25/0.78 % (23839)Instruction limit reached! 1.25/0.78 % (23839)------------------------------ 1.25/0.78 % (23839)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.25/0.78 % (23839)Termination reason: Unknown 1.25/0.78 % (23839)Termination phase: Property scanning 1.25/0.78 1.25/0.78 % (23839)Memory used [KB]: 2046 1.25/0.78 % (23839)Time elapsed: 0.030 s 1.25/0.78 % (23839)Instructions burned: 107 (million) 1.25/0.78 % (23839)------------------------------ 1.25/0.78 % (23839)------------------------------ 1.25/0.78 % (23828)First to succeed. 1.25/0.78 % (23843)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on E---3.1_23561 for (2396ds/98Mi) 1.25/0.78 % (23828)Refutation found. Thanks to Tanya! 1.25/0.78 % SZS status Theorem for E---3.1_23561 1.25/0.78 % SZS output start Proof for E---3.1_23561 1.25/0.78 thf(type_def_5, type, mu: $tType). 1.25/0.78 thf(func_def_0, type, mu: $tType). 1.25/0.78 thf(func_def_1, type, qmltpeq: mu > mu > $i > $o). 1.25/0.78 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 1.25/0.78 thf(func_def_4, type, mnot: ($i > $o) > $i > $o). 1.25/0.78 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o). 1.25/0.78 thf(func_def_6, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 1.25/0.78 thf(func_def_7, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 1.25/0.78 thf(func_def_8, type, mtrue: $i > $o). 1.25/0.78 thf(func_def_9, type, mfalse: $i > $o). 1.25/0.78 thf(func_def_10, type, mand: ($i > $o) > ($i > $o) > $i > $o). 1.25/0.78 thf(func_def_11, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 1.25/0.78 thf(func_def_12, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 1.25/0.78 thf(func_def_13, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 1.25/0.78 thf(func_def_14, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 1.25/0.78 thf(func_def_15, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 1.25/0.78 thf(func_def_16, type, exists_in_world: mu > $i > $o). 1.25/0.78 thf(func_def_17, type, mforall_ind: (mu > $i > $o) > $i > $o). 1.25/0.78 thf(func_def_18, type, mexists_ind: (mu > $i > $o) > $i > $o). 1.25/0.78 thf(func_def_19, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 1.25/0.78 thf(func_def_20, type, mreflexive: ($i > $i > $o) > $o). 1.25/0.78 thf(func_def_21, type, msymmetric: ($i > $i > $o) > $o). 1.25/0.78 thf(func_def_22, type, mserial: ($i > $i > $o) > $o). 1.25/0.78 thf(func_def_23, type, mtransitive: ($i > $i > $o) > $o). 1.25/0.78 thf(func_def_24, type, meuclidean: ($i > $i > $o) > $o). 1.25/0.78 thf(func_def_25, type, mpartially_functional: ($i > $i > $o) > $o). 1.25/0.78 thf(func_def_26, type, mfunctional: ($i > $i > $o) > $o). 1.25/0.78 thf(func_def_27, type, mweakly_dense: ($i > $i > $o) > $o). 1.25/0.78 thf(func_def_28, type, mweakly_connected: ($i > $i > $o) > $o). 1.25/0.78 thf(func_def_29, type, mweakly_directed: ($i > $i > $o) > $o). 1.25/0.78 thf(func_def_30, type, mvalid: ($i > $o) > $o). 1.25/0.78 thf(func_def_31, type, msatisfiable: ($i > $o) > $o). 1.25/0.78 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o). 1.25/0.78 thf(func_def_33, type, minvalid: ($i > $o) > $o). 1.25/0.78 thf(func_def_34, type, rel_s4: $i > $i > $o). 1.25/0.78 thf(func_def_35, type, mbox_s4: ($i > $o) > $i > $o). 1.25/0.78 thf(func_def_36, type, mdia_s4: ($i > $o) > $i > $o). 1.25/0.78 thf(func_def_37, type, true: $i > $o). 1.25/0.78 thf(func_def_38, type, lt: mu > mu > $i > $o). 1.25/0.78 thf(func_def_39, type, geq: mu > mu > $i > $o). 1.25/0.78 thf(func_def_40, type, gt: mu > mu > $i > $o). 1.25/0.78 thf(func_def_41, type, leq: mu > mu > $i > $o). 1.25/0.78 thf(func_def_42, type, uniform_int_rnd: mu > mu > mu). 1.25/0.78 thf(func_def_43, type, tptp_const_array1: mu > mu > mu). 1.25/0.78 thf(func_def_44, type, dim: mu > mu > mu). 1.25/0.78 thf(func_def_45, type, tptp_const_array2: mu > mu > mu > mu). 1.25/0.78 thf(func_def_46, type, inv: mu > mu). 1.25/0.78 thf(func_def_47, type, tptp_msub: mu > mu > mu). 1.25/0.78 thf(func_def_48, type, trans: mu > mu). 1.25/0.78 thf(func_def_49, type, tptp_mmul: mu > mu > mu). 1.25/0.78 thf(func_def_50, type, tptp_madd: mu > mu > mu). 1.25/0.78 thf(func_def_51, type, sum: mu > mu > mu > mu). 1.25/0.78 thf(func_def_52, type, tptp_float_0_0: mu). 1.25/0.78 thf(func_def_53, type, plus: mu > mu > mu). 1.25/0.78 thf(func_def_54, type, pred: mu > mu). 1.25/0.78 thf(func_def_55, type, minus: mu > mu > mu). 1.25/0.78 thf(func_def_56, type, tptp_update3: mu > mu > mu > mu > mu). 1.25/0.78 thf(func_def_57, type, a_select3: mu > mu > mu > mu). 1.25/0.78 thf(func_def_58, type, tptp_update2: mu > mu > mu > mu). 1.25/0.78 thf(func_def_59, type, a_select2: mu > mu > mu). 1.25/0.78 thf(func_def_60, type, use: mu). 1.25/0.78 thf(func_def_61, type, def: mu). 1.25/0.78 thf(func_def_62, type, loopcounter: mu). 1.25/0.78 thf(func_def_63, type, tptp_minus_1: mu). 1.25/0.78 thf(func_def_64, type, n4: mu). 1.25/0.78 thf(func_def_65, type, n5: mu). 1.25/0.78 thf(func_def_66, type, n1: mu). 1.25/0.78 thf(func_def_67, type, n2: mu). 1.25/0.78 thf(func_def_68, type, n3: mu). 1.25/0.78 thf(func_def_69, type, n0: mu). 1.25/0.78 thf(func_def_70, type, succ: mu > mu). 1.25/0.78 thf(func_def_92, type, sK1: mu > $i > $i). 1.25/0.78 thf(func_def_93, type, sK2: mu > $i > $i). 1.25/0.78 thf(func_def_94, type, sK3: $i > mu > mu > $i). 1.25/0.78 thf(func_def_95, type, sK4: mu > $i > mu > $i). 1.25/0.78 thf(func_def_96, type, sK5: mu > $i > mu > $i). 1.25/0.78 thf(func_def_97, type, sK6: mu > mu > $i > $i). 1.25/0.78 thf(func_def_98, type, sK7: $i > mu). 1.25/0.78 thf(f2586,plain,( 1.25/0.78 $false), 1.25/0.78 inference(trivial_inequality_removal,[],[f2584])). 1.25/0.78 thf(f2584,plain,( 1.25/0.78 ($true = $false)), 1.25/0.78 inference(superposition,[],[f2582,f2573])). 1.25/0.78 thf(f2573,plain,( 1.25/0.78 ( ! [X0 : $i] : (((true @ X0) = $true)) )), 1.25/0.78 inference(trivial_inequality_removal,[],[f2572])). 1.25/0.78 thf(f2572,plain,( 1.25/0.78 ( ! [X0 : $i] : (((true @ X0) = $true) | ($true = $false)) )), 1.25/0.78 inference(superposition,[],[f1976,f1929])). 1.25/0.78 thf(f1929,plain,( 1.25/0.78 ( ! [X1 : $i] : (((rel_s4 @ X1 @ X1) = $true)) )), 1.25/0.78 inference(beta_eta_normalization,[],[f1928])). 1.25/0.78 thf(f1928,plain,( 1.25/0.78 ( ! [X1 : $i] : ((((^[Y0 : $i]: (rel_s4 @ Y0 @ Y0)) @ X1) = $true)) )), 1.25/0.78 inference(pi_clausification,[],[f800])). 1.25/0.78 thf(f800,plain,( 1.25/0.78 ($true = (!! @ $i @ (^[Y0 : $i]: (rel_s4 @ Y0 @ Y0))))), 1.25/0.78 inference(beta_eta_normalization,[],[f720])). 1.25/0.78 thf(f720,plain,( 1.25/0.78 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ rel_s4) = $true)), 1.25/0.78 inference(definition_unfolding,[],[f638,f612])). 1.25/0.78 thf(f612,plain,( 1.25/0.78 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))), 1.25/0.78 inference(cnf_transformation,[],[f259])). 1.25/0.78 thf(f259,plain,( 1.25/0.78 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))), 1.25/0.78 inference(fool_elimination,[],[f258])). 1.25/0.78 thf(f258,plain,( 1.25/0.78 (mreflexive = (^[X0 : $i > $i > $o] : (! [X1] : (X0 @ X1 @ X1))))), 1.25/0.78 inference(rectify,[],[f17])). 1.25/0.78 thf(f17,axiom,( 1.25/0.78 (mreflexive = (^[X5 : $i > $i > $o] : (! [X8] : (X5 @ X8 @ X8))))), 1.25/0.78 file('/export/starexec/sandbox2/tmp/tmp.468fJCBYAg/E---3.1_23561.p',mreflexive)). 1.25/0.78 thf(f638,plain,( 1.25/0.78 ((mreflexive @ rel_s4) = $true)), 1.25/0.78 inference(cnf_transformation,[],[f265])). 1.25/0.78 thf(f265,plain,( 1.25/0.78 ((mreflexive @ rel_s4) = $true)), 1.25/0.78 inference(fool_elimination,[],[f264])). 1.25/0.78 thf(f264,plain,( 1.25/0.78 (mreflexive @ rel_s4)), 1.25/0.78 inference(rectify,[],[f35])). 1.25/0.78 thf(f35,axiom,( 1.25/0.78 (mreflexive @ rel_s4)), 1.25/0.78 file('/export/starexec/sandbox2/tmp/tmp.468fJCBYAg/E---3.1_23561.p',a1)). 1.25/0.78 thf(f1976,plain,( 1.25/0.78 ( ! [X2 : $i,X1 : $i] : (((rel_s4 @ X1 @ X2) = $false) | ((true @ X2) = $true)) )), 1.25/0.78 inference(not_proxy_clausification,[],[f1975])). 1.25/0.78 thf(f1975,plain,( 1.25/0.78 ( ! [X2 : $i,X1 : $i] : (((~ (rel_s4 @ X1 @ X2)) = $true) | ((true @ X2) = $true)) )), 1.25/0.78 inference(binary_proxy_clausification,[],[f1974])). 1.25/0.78 thf(f1974,plain,( 1.25/0.78 ( ! [X2 : $i,X1 : $i] : ((((true @ X2) | (~ (rel_s4 @ X1 @ X2))) = $true)) )), 1.25/0.78 inference(beta_eta_normalization,[],[f1973])). 1.25/0.78 thf(f1973,plain,( 1.25/0.78 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ X1 @ Y0)))) @ X2) = $true)) )), 1.25/0.78 inference(pi_clausification,[],[f1972])). 1.25/0.78 thf(f1972,plain,( 1.25/0.78 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ X1 @ Y0))))) = $true)) )), 1.25/0.78 inference(beta_eta_normalization,[],[f1971])). 1.25/0.78 thf(f1971,plain,( 1.25/0.78 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) @ X1))) )), 1.25/0.78 inference(pi_clausification,[],[f798])). 1.25/0.78 thf(f798,plain,( 1.25/0.78 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))))), 1.25/0.78 inference(beta_eta_normalization,[],[f754])). 1.25/0.78 thf(f754,plain,( 1.25/0.78 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ true)))), 1.25/0.78 inference(definition_unfolding,[],[f681,f604,f598])). 1.25/0.78 thf(f598,plain,( 1.25/0.78 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))), 1.25/0.78 inference(cnf_transformation,[],[f399])). 1.25/0.78 thf(f399,plain,( 1.25/0.78 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))), 1.25/0.78 inference(fool_elimination,[],[f398])). 1.25/0.78 thf(f398,plain,( 1.25/0.78 (mbox_s4 = (^[X0 : $i > $o, X1 : $i] : (! [X2] : (~(rel_s4 @ X1 @ X2) | (X0 @ X2)))))), 1.25/0.78 inference(rectify,[],[f32])). 1.25/0.78 thf(f32,axiom,( 1.25/0.78 (mbox_s4 = (^[X3 : $i > $o, X2 : $i] : (! [X6] : (~(rel_s4 @ X2 @ X6) | (X3 @ X6)))))), 1.25/0.78 file('/export/starexec/sandbox2/tmp/tmp.468fJCBYAg/E---3.1_23561.p',mbox_s4)). 1.25/0.78 thf(f604,plain,( 1.25/0.78 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 1.25/0.78 inference(cnf_transformation,[],[f523])). 1.25/0.78 thf(f523,plain,( 1.25/0.78 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 1.25/0.78 inference(fool_elimination,[],[f522])). 1.25/0.78 thf(f522,plain,( 1.25/0.78 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)), 1.25/0.78 inference(rectify,[],[f27])). 1.25/0.78 thf(f27,axiom,( 1.25/0.78 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)), 1.25/0.78 file('/export/starexec/sandbox2/tmp/tmp.468fJCBYAg/E---3.1_23561.p',mvalid)). 1.25/0.78 thf(f681,plain,( 1.25/0.78 ((mvalid @ (mbox_s4 @ true)) = $true)), 1.25/0.78 inference(cnf_transformation,[],[f281])). 1.25/0.78 thf(f281,plain,( 1.25/0.78 ((mvalid @ (mbox_s4 @ true)) = $true)), 1.25/0.78 inference(fool_elimination,[],[f280])). 1.25/0.78 thf(f280,plain,( 1.25/0.78 (mvalid @ (mbox_s4 @ true))), 1.25/0.78 inference(rectify,[],[f41])). 1.25/0.78 thf(f41,axiom,( 1.25/0.78 (mvalid @ (mbox_s4 @ true))), 1.25/0.78 file('/export/starexec/sandbox2/tmp/tmp.468fJCBYAg/E---3.1_23561.p',ttrue)). 1.25/0.78 thf(f2582,plain,( 1.25/0.78 ((true @ sK13) = $false)), 1.25/0.78 inference(trivial_inequality_removal,[],[f2581])). 1.25/0.78 thf(f2581,plain,( 1.25/0.78 ($true = $false) | ((true @ sK13) = $false)), 1.25/0.78 inference(forward_demodulation,[],[f2159,f2573])). 1.25/0.78 thf(f2159,plain,( 1.25/0.78 ($false = (true @ sK12)) | ((true @ sK13) = $false)), 1.25/0.78 inference(binary_proxy_clausification,[],[f2153])). 1.25/0.78 thf(f2153,plain,( 1.25/0.78 ((true @ sK13) = $false) | (((true @ sK12) | (~ (rel_s4 @ sK10 @ sK12))) = $false)), 1.25/0.78 inference(binary_proxy_clausification,[],[f2151])). 1.25/0.78 thf(f2151,plain,( 1.25/0.78 ($false = ((true @ sK13) | (~ (rel_s4 @ sK11 @ sK13)))) | (((true @ sK12) | (~ (rel_s4 @ sK10 @ sK12))) = $false)), 1.25/0.78 inference(beta_eta_normalization,[],[f2150])). 1.25/0.78 thf(f2150,plain,( 1.25/0.78 ($false = ((^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK11 @ Y0)))) @ sK13)) | (((true @ sK12) | (~ (rel_s4 @ sK10 @ sK12))) = $false)), 1.25/0.78 inference(sigma_clausification,[],[f2130])). 1.25/0.78 thf(f2130,plain,( 1.25/0.78 ((!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK11 @ Y0))))) = $false) | (((true @ sK12) | (~ (rel_s4 @ sK10 @ sK12))) = $false)), 1.25/0.78 inference(binary_proxy_clausification,[],[f2128])). 1.25/0.78 thf(f2128,plain,( 1.25/0.78 ($false = ((!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK11 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK11 @ Y0)))))))) | (((true @ sK12) | (~ (rel_s4 @ sK10 @ sK12))) = $false)), 1.25/0.78 inference(binary_proxy_clausification,[],[f2126])). 1.25/0.78 thf(f2126,plain,( 1.25/0.78 ((((!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK11 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK11 @ Y0))))))) | (~ (rel_s4 @ sK9 @ sK11))) = $false) | (((true @ sK12) | (~ (rel_s4 @ sK10 @ sK12))) = $false)), 1.25/0.78 inference(beta_eta_normalization,[],[f2125])). 1.25/0.78 thf(f2125,plain,( 1.25/0.78 ((((!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK11 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK11 @ Y0))))))) | (~ (rel_s4 @ sK9 @ sK11))) = $false) | (((^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK10 @ Y0)))) @ sK12) = $false)), 1.25/0.78 inference(sigma_clausification,[],[f2124])). 1.25/0.78 thf(f2124,plain,( 1.25/0.78 ($false = (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK10 @ Y0)))))) | ((((!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK11 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK11 @ Y0))))))) | (~ (rel_s4 @ sK9 @ sK11))) = $false)), 1.25/0.78 inference(beta_eta_normalization,[],[f2123])). 1.25/0.78 thf(f2123,plain,( 1.25/0.78 ($false = ((^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK9 @ Y0)))) @ sK11)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK10 @ Y0))))))), 1.25/0.78 inference(sigma_clausification,[],[f2122])). 1.25/0.78 thf(f2122,plain,( 1.25/0.78 ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK9 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK10 @ Y0))))))), 1.25/0.78 inference(binary_proxy_clausification,[],[f2120])). 1.25/0.78 thf(f2120,plain,( 1.25/0.78 (((!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((gt @ loopcounter @ n1 @ Y0) | (~ (rel_s4 @ sK10 @ Y0))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK9 @ Y0))))) = $false)), 1.25/0.78 inference(binary_proxy_clausification,[],[f2118])). 1.25/0.78 thf(f2118,plain,( 1.25/0.78 ((((!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((gt @ loopcounter @ n1 @ Y0) | (~ (rel_s4 @ sK10 @ Y0))))))) | (~ (rel_s4 @ sK9 @ sK10))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK9 @ Y0))))) = $false)), 1.25/0.78 inference(not_proxy_clausification,[],[f2117])). 1.25/0.78 thf(f2117,plain,( 1.25/0.78 ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK9 @ Y0)))))) = $true) | ((((!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK10 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((gt @ loopcounter @ n1 @ Y0) | (~ (rel_s4 @ sK10 @ Y0))))))) | (~ (rel_s4 @ sK9 @ sK10))) = $false)), 1.25/0.78 inference(beta_eta_normalization,[],[f2116])). 1.25/0.78 thf(f2116,plain,( 1.25/0.78 ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK9 @ Y0)))))) = $true) | (((^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK9 @ Y0)))) @ sK10) = $false)), 1.25/0.78 inference(sigma_clausification,[],[f2115])). 1.25/0.78 thf(f2115,plain,( 1.25/0.78 ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK9 @ Y0))))) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK9 @ Y0)))))) = $true)), 1.25/0.78 inference(not_proxy_clausification,[],[f2114])). 1.25/0.78 thf(f2114,plain,( 1.25/0.78 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK9 @ Y0))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK9 @ Y0)))))) = $true)), 1.25/0.78 inference(binary_proxy_clausification,[],[f2113])). 1.25/0.78 thf(f2113,plain,( 1.25/0.78 (((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK9 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK9 @ Y0))))))) = $true)), 1.25/0.78 inference(not_proxy_clausification,[],[f2107])). 1.25/0.78 thf(f2107,plain,( 1.25/0.78 ((~ ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK9 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK9 @ Y0)))))))) = $false)), 1.25/0.78 inference(binary_proxy_clausification,[],[f2105])). 1.25/0.78 thf(f2105,plain,( 1.25/0.78 (((~ ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK9 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK9 @ Y0)))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK9 @ Y0))))))) = $false)), 1.25/0.78 inference(binary_proxy_clausification,[],[f2103])). 1.25/0.78 thf(f2103,plain,( 1.25/0.78 ((((~ ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((gt @ loopcounter @ n1 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK9 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK9 @ Y0)))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((true @ Y0) | (~ (rel_s4 @ sK9 @ Y0))))))) | (~ (rel_s4 @ sK8 @ sK9))) = $false)), 1.25/0.78 inference(beta_eta_normalization,[],[f2102])). 1.25/0.78 thf(f2102,plain,( 1.25/0.78 (((^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((true @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((true @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((gt @ loopcounter @ n1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK8 @ Y0)))) @ sK9) = $false)), 1.25/0.78 inference(sigma_clausification,[],[f2101])). 1.25/0.78 thf(f2101,plain,( 1.25/0.78 ((!! @ $i @ (^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((true @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((gt @ loopcounter @ n1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((true @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((gt @ loopcounter @ n1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((true @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK8 @ Y0))))) = $false)), 1.25/0.78 inference(beta_eta_normalization,[],[f2100])). 1.25/0.78 thf(f2100,plain,( 1.25/0.78 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((true @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((gt @ loopcounter @ n1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((true @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((gt @ loopcounter @ n1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((true @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) @ sK8) = $false)), 1.25/0.78 inference(sigma_clausification,[],[f2099])). 1.25/0.78 thf(f2099,plain,( 1.25/0.78 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((true @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((gt @ loopcounter @ n1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((true @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((gt @ loopcounter @ n1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((true @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))), 1.25/0.78 inference(not_proxy_clausification,[],[f790])). 1.25/0.78 thf(f790,plain,( 1.25/0.78 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((true @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((gt @ loopcounter @ n1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((true @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((gt @ loopcounter @ n1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((true @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) = $true)), 1.25/0.78 inference(beta_eta_normalization,[],[f743])). 1.25/0.78 thf(f743,plain,( 1.25/0.78 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ true) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (gt @ loopcounter @ n1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ true))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (gt @ loopcounter @ n1)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ true)))))))) = $true)), 1.25/0.78 inference(definition_unfolding,[],[f668,f604,f598,f695,f598,f694,f598,f695,f598,f629,f598,f598,f598,f695,f598,f598])). 1.25/0.78 thf(f629,plain,( 1.25/0.78 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 1.25/0.78 inference(cnf_transformation,[],[f363])). 1.25/0.78 thf(f363,plain,( 1.25/0.78 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 1.25/0.78 inference(fool_elimination,[],[f362])). 1.25/0.78 thf(f362,plain,( 1.25/0.78 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))), 1.25/0.78 inference(rectify,[],[f2])). 1.25/0.78 thf(f2,axiom,( 1.25/0.78 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))), 1.25/0.78 file('/export/starexec/sandbox2/tmp/tmp.468fJCBYAg/E---3.1_23561.p',mnot)). 1.25/0.78 thf(f694,plain,( 1.25/0.78 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))), 1.25/0.78 inference(definition_unfolding,[],[f636,f629,f652,f629,f629])). 1.25/0.78 thf(f652,plain,( 1.25/0.78 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))), 1.25/0.78 inference(cnf_transformation,[],[f519])). 1.25/0.78 thf(f519,plain,( 1.25/0.78 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))), 1.25/0.78 inference(fool_elimination,[],[f518])). 1.25/0.78 thf(f518,plain,( 1.25/0.78 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)), 1.25/0.78 inference(rectify,[],[f3])). 1.25/0.78 thf(f3,axiom,( 1.25/0.78 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))) = mor)), 1.25/0.78 file('/export/starexec/sandbox2/tmp/tmp.468fJCBYAg/E---3.1_23561.p',mor)). 1.25/0.78 thf(f636,plain,( 1.25/0.78 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))), 1.25/0.78 inference(cnf_transformation,[],[f245])). 1.25/0.78 thf(f245,plain,( 1.25/0.78 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))), 1.25/0.78 inference(fool_elimination,[],[f244])). 1.25/0.78 thf(f244,plain,( 1.25/0.78 ((^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))) = mand)), 1.25/0.78 inference(rectify,[],[f8])). 1.25/0.78 thf(f8,axiom,( 1.25/0.78 ((^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))) = mand)), 1.25/0.78 file('/export/starexec/sandbox2/tmp/tmp.468fJCBYAg/E---3.1_23561.p',mand)). 1.25/0.78 thf(f695,plain,( 1.25/0.78 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))), 1.25/0.78 inference(definition_unfolding,[],[f619,f652,f629])). 1.25/0.78 thf(f619,plain,( 1.25/0.78 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 1.25/0.78 inference(cnf_transformation,[],[f574])). 1.25/0.78 thf(f574,plain,( 1.25/0.78 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 1.25/0.78 inference(fool_elimination,[],[f573])). 1.25/0.78 thf(f573,plain,( 1.25/0.78 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)), 1.25/0.78 inference(rectify,[],[f9])). 1.25/0.78 thf(f9,axiom,( 1.25/0.78 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)), 1.25/0.78 file('/export/starexec/sandbox2/tmp/tmp.468fJCBYAg/E---3.1_23561.p',mimplies)). 1.25/0.78 thf(f668,plain,( 1.25/0.78 ((~ (mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ true) @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mnot @ (mbox_s4 @ (gt @ loopcounter @ n1)))) @ (mbox_s4 @ true))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (gt @ loopcounter @ n1)) @ (mbox_s4 @ true)))))))) = $true)), 1.25/0.78 inference(cnf_transformation,[],[f517])). 1.25/0.78 thf(f517,plain,( 1.25/0.78 ((~ (mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ true) @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mnot @ (mbox_s4 @ (gt @ loopcounter @ n1)))) @ (mbox_s4 @ true))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (gt @ loopcounter @ n1)) @ (mbox_s4 @ true)))))))) = $true)), 1.25/0.78 inference(fool_elimination,[],[f516])). 1.25/0.78 thf(f516,plain,( 1.25/0.78 ~(mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ true) @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mnot @ (mbox_s4 @ (gt @ loopcounter @ n1)))) @ (mbox_s4 @ true))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (gt @ loopcounter @ n1)) @ (mbox_s4 @ true)))))))), 1.25/0.78 inference(rectify,[],[f154])). 1.25/0.78 thf(f154,negated_conjecture,( 1.25/0.78 ~(mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ true) @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mnot @ (mbox_s4 @ (gt @ loopcounter @ n1)))) @ (mbox_s4 @ true))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (gt @ loopcounter @ n1)) @ (mbox_s4 @ true)))))))), 1.25/0.78 inference(negated_conjecture,[],[f153])). 1.25/0.78 thf(f153,conjecture,( 1.25/0.78 (mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ true) @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mnot @ (mbox_s4 @ (gt @ loopcounter @ n1)))) @ (mbox_s4 @ true))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (gt @ loopcounter @ n1)) @ (mbox_s4 @ true)))))))), 1.25/0.78 file('/export/starexec/sandbox2/tmp/tmp.468fJCBYAg/E---3.1_23561.p',cl5_nebula_array_0002)). 1.25/0.78 % SZS output end Proof for E---3.1_23561 1.25/0.78 % (23828)------------------------------ 1.25/0.78 % (23828)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.25/0.78 % (23828)Termination reason: Refutation 1.25/0.78 1.25/0.78 % (23828)Memory used [KB]: 8443 1.25/0.78 % (23828)Time elapsed: 0.117 s 1.25/0.78 % (23828)Instructions burned: 386 (million) 1.25/0.78 % (23828)------------------------------ 1.25/0.78 % (23828)------------------------------ 1.25/0.78 % (23667)Success in time 0.385 s 1.25/0.78 EOF