0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.13 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n025.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 02:08:04 EDT 2025 0.12/0.34 % CPUTime : 0.12/0.35 This is a THF_ problem 0.12/0.36 Running higher-order theorem proving 0.12/0.37 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.Q5PgBuqsq8/E---3.1_7986.p -m 16384 -t 240 0.12/0.39 % (8223)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_7986 for (2399ds/2Mi) 0.12/0.39 % (8223)Instruction limit reached! 0.12/0.39 % (8223)------------------------------ 0.12/0.39 % (8223)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.39 % (8223)Termination reason: Unknown 0.12/0.39 % (8223)Termination phase: shuffling 0.12/0.39 0.12/0.39 % (8223)Memory used [KB]: 1023 0.12/0.39 % (8223)Time elapsed: 0.003 s 0.12/0.39 % (8223)Instructions burned: 4 (million) 0.12/0.39 % (8223)------------------------------ 0.12/0.39 % (8223)------------------------------ 0.12/0.39 % (8220)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_7986 for (2399ds/183Mi) 0.12/0.39 % (8221)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_7986 for (2399ds/4Mi) 0.12/0.39 % (8222)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_7986 for (2399ds/27Mi) 0.12/0.39 % (8224)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_7986 for (2399ds/2Mi) 0.12/0.39 % (8225)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_7986 for (2399ds/275Mi) 0.12/0.39 % (8226)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_7986 for (2399ds/18Mi) 0.12/0.39 % (8224)Instruction limit reached! 0.12/0.39 % (8224)------------------------------ 0.12/0.39 % (8224)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.39 % (8224)Termination reason: Unknown 0.12/0.39 % (8224)Termination phase: shuffling 0.12/0.39 0.12/0.39 % (8224)Memory used [KB]: 1023 0.12/0.39 % (8224)Time elapsed: 0.004 s 0.12/0.39 % (8224)Instructions burned: 3 (million) 0.12/0.39 % (8224)------------------------------ 0.12/0.39 % (8224)------------------------------ 0.12/0.39 % (8221)Instruction limit reached! 0.12/0.39 % (8221)------------------------------ 0.12/0.39 % (8221)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.39 % (8221)Termination reason: Unknown 0.12/0.39 % (8221)Termination phase: shuffling 0.12/0.39 0.12/0.39 % (8221)Memory used [KB]: 1151 0.12/0.39 % (8221)Time elapsed: 0.004 s 0.12/0.39 % (8221)Instructions burned: 4 (million) 0.12/0.39 % (8221)------------------------------ 0.12/0.39 % (8221)------------------------------ 0.12/0.40 % (8227)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_7986 for (2399ds/3Mi) 0.21/0.40 % (8227)Instruction limit reached! 0.21/0.40 % (8227)------------------------------ 0.21/0.40 % (8227)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.40 % (8227)Termination reason: Unknown 0.21/0.40 % (8227)Termination phase: shuffling 0.21/0.40 0.21/0.40 % (8227)Memory used [KB]: 1151 0.21/0.40 % (8227)Time elapsed: 0.003 s 0.21/0.40 % (8227)Instructions burned: 6 (million) 0.21/0.40 % (8227)------------------------------ 0.21/0.40 % (8227)------------------------------ 0.21/0.40 % (8225)Refutation not found, incomplete strategy 0.21/0.40 % (8225)------------------------------ 0.21/0.40 % (8225)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.40 % (8225)Termination reason: Refutation not found, incomplete strategy 0.21/0.40 0.21/0.40 0.21/0.40 % (8225)Memory used [KB]: 5628 0.21/0.40 % (8225)Time elapsed: 0.010 s 0.21/0.40 % (8225)Instructions burned: 13 (million) 0.21/0.40 % (8225)------------------------------ 0.21/0.40 % (8225)------------------------------ 0.21/0.40 % (8226)Instruction limit reached! 0.21/0.40 % (8226)------------------------------ 0.21/0.40 % (8226)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.40 % (8226)Termination reason: Unknown 0.21/0.40 % (8226)Termination phase: Property scanning 0.21/0.40 0.21/0.40 % (8226)Memory used [KB]: 1151 0.21/0.40 % (8226)Time elapsed: 0.012 s 0.21/0.40 % (8226)Instructions burned: 19 (million) 0.21/0.40 % (8226)------------------------------ 0.21/0.40 % (8226)------------------------------ 0.21/0.41 % (8222)Instruction limit reached! 0.21/0.41 % (8222)------------------------------ 0.21/0.41 % (8222)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.41 % (8222)Termination reason: Unknown 0.21/0.41 % (8222)Termination phase: Saturation 0.21/0.41 0.21/0.41 % (8222)Memory used [KB]: 5884 0.21/0.41 % (8222)Time elapsed: 0.016 s 0.21/0.41 % (8222)Instructions burned: 27 (million) 0.21/0.41 % (8222)------------------------------ 0.21/0.41 % (8222)------------------------------ 0.21/0.41 % (8228)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_7986 for (2399ds/37Mi) 0.21/0.41 % (8229)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_7986 for (2399ds/15Mi) 0.21/0.41 % (8230)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_7986 for (2399ds/3Mi) 0.21/0.42 % (8230)Instruction limit reached! 0.21/0.42 % (8230)------------------------------ 0.21/0.42 % (8230)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.42 % (8230)Termination reason: Unknown 0.21/0.42 % (8230)Termination phase: shuffling 0.21/0.42 0.21/0.42 % (8230)Memory used [KB]: 1151 0.21/0.42 % (8230)Time elapsed: 0.004 s 0.21/0.42 % (8230)Instructions burned: 4 (million) 0.21/0.42 % (8230)------------------------------ 0.21/0.42 % (8230)------------------------------ 0.21/0.42 % (8231)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_7986 for (2399ds/1041Mi) 0.21/0.42 % (8233)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_7986 for (2399ds/7Mi) 0.21/0.42 % (8229)Instruction limit reached! 0.21/0.42 % (8229)------------------------------ 0.21/0.42 % (8229)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.42 % (8229)Termination reason: Unknown 0.21/0.42 % (8229)Termination phase: Property scanning 0.21/0.42 0.21/0.42 % (8229)Memory used [KB]: 1151 0.21/0.42 % (8229)Time elapsed: 0.010 s 0.21/0.42 % (8229)Instructions burned: 16 (million) 0.21/0.42 % (8229)------------------------------ 0.21/0.42 % (8229)------------------------------ 0.21/0.42 % (8233)Instruction limit reached! 0.21/0.42 % (8233)------------------------------ 0.21/0.42 % (8233)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.42 % (8233)Termination reason: Unknown 0.21/0.42 % (8233)Termination phase: Property scanning 0.21/0.42 0.21/0.42 % (8233)Memory used [KB]: 1151 0.21/0.42 % (8233)Time elapsed: 0.006 s 0.21/0.42 % (8233)Instructions burned: 7 (million) 0.21/0.42 % (8233)------------------------------ 0.21/0.42 % (8233)------------------------------ 0.21/0.42 % (8238)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_7986 for (2399ds/16Mi) 0.21/0.43 % (8238)Instruction limit reached! 0.21/0.43 % (8238)------------------------------ 0.21/0.43 % (8238)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.43 % (8238)Termination reason: Unknown 0.21/0.43 % (8238)Termination phase: Property scanning 0.21/0.43 0.21/0.43 % (8238)Memory used [KB]: 1151 0.21/0.43 % (8238)Time elapsed: 0.010 s 0.21/0.43 % (8238)Instructions burned: 16 (million) 0.21/0.43 % (8238)------------------------------ 0.21/0.43 % (8238)------------------------------ 0.21/0.43 % (8228)Instruction limit reached! 0.21/0.43 % (8228)------------------------------ 0.21/0.43 % (8228)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.43 % (8228)Termination reason: Unknown 0.21/0.43 % (8228)Termination phase: Saturation 0.21/0.43 0.21/0.43 % (8228)Memory used [KB]: 5884 0.21/0.43 % (8228)Time elapsed: 0.024 s 0.21/0.43 % (8228)Instructions burned: 37 (million) 0.21/0.43 % (8228)------------------------------ 0.21/0.43 % (8228)------------------------------ 0.21/0.43 % (8246)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_7986 for (2399ds/3Mi) 0.21/0.43 % (8246)Instruction limit reached! 0.21/0.43 % (8246)------------------------------ 0.21/0.43 % (8246)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.43 % (8246)Termination reason: Unknown 0.21/0.43 % (8246)Termination phase: shuffling 0.21/0.43 0.21/0.43 % (8246)Memory used [KB]: 1023 0.21/0.43 % (8246)Time elapsed: 0.005 s 0.21/0.43 % (8246)Instructions burned: 3 (million) 0.21/0.44 % (8246)------------------------------ 0.21/0.44 % (8246)------------------------------ 0.21/0.44 % (8248)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_7986 for (2399ds/3Mi) 0.21/0.44 % (8248)Instruction limit reached! 0.21/0.44 % (8248)------------------------------ 0.21/0.44 % (8248)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.44 % (8248)Termination reason: Unknown 0.21/0.44 % (8248)Termination phase: shuffling 0.21/0.44 0.21/0.44 % (8248)Memory used [KB]: 1023 0.21/0.44 % (8248)Time elapsed: 0.005 s 0.21/0.44 % (8248)Instructions burned: 3 (million) 0.21/0.44 % (8248)------------------------------ 0.21/0.44 % (8248)------------------------------ 0.21/0.44 % (8249)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_7986 for (2399ds/7Mi) 0.21/0.45 % (8258)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_7986 for (2399ds/3Mi) 0.21/0.45 % (8258)Instruction limit reached! 0.21/0.45 % (8258)------------------------------ 0.21/0.45 % (8258)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.45 % (8258)Termination reason: Unknown 0.21/0.45 % (8258)Termination phase: shuffling 0.21/0.45 0.21/0.45 % (8258)Memory used [KB]: 1151 0.21/0.45 % (8258)Time elapsed: 0.004 s 0.21/0.45 % (8258)Instructions burned: 4 (million) 0.21/0.45 % (8258)------------------------------ 0.21/0.45 % (8258)------------------------------ 0.21/0.45 % (8249)Instruction limit reached! 0.21/0.45 % (8249)------------------------------ 0.21/0.45 % (8249)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.45 % (8249)Termination reason: Unknown 0.21/0.45 % (8249)Termination phase: Property scanning 0.21/0.45 0.21/0.45 % (8249)Memory used [KB]: 1151 0.21/0.45 % (8249)Time elapsed: 0.008 s 0.21/0.45 % (8249)Instructions burned: 7 (million) 0.21/0.45 % (8249)------------------------------ 0.21/0.45 % (8249)------------------------------ 0.21/0.46 % (8259)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_7986 for (2399ds/4Mi) 0.21/0.46 % (8260)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_7986 for (2399ds/18Mi) 0.21/0.46 % (8259)Instruction limit reached! 0.21/0.46 % (8259)------------------------------ 0.21/0.46 % (8259)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.46 % (8259)Termination reason: Unknown 0.21/0.46 % (8259)Termination phase: shuffling 0.21/0.46 0.21/0.46 % (8259)Memory used [KB]: 1023 0.21/0.46 % (8259)Time elapsed: 0.006 s 0.21/0.46 % (8259)Instructions burned: 4 (million) 0.21/0.46 % (8259)------------------------------ 0.21/0.46 % (8259)------------------------------ 0.21/0.46 % (8262)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_7986 for (2399ds/6Mi) 0.21/0.47 % (8261)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_7986 for (2399ds/710Mi) 0.21/0.47 % (8263)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_7986 for (2399ds/902Mi) 0.21/0.47 % (8262)Instruction limit reached! 0.21/0.47 % (8262)------------------------------ 0.21/0.47 % (8262)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.47 % (8262)Termination reason: Unknown 0.21/0.47 % (8262)Termination phase: Property scanning 0.21/0.47 0.21/0.47 % (8262)Memory used [KB]: 1151 0.21/0.47 % (8262)Time elapsed: 0.008 s 0.21/0.47 % (8262)Instructions burned: 6 (million) 0.21/0.47 % (8262)------------------------------ 0.21/0.47 % (8262)------------------------------ 0.21/0.48 % (8263)Refutation not found, incomplete strategy 0.21/0.48 % (8263)------------------------------ 0.21/0.48 % (8263)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.48 % (8260)Instruction limit reached! 0.21/0.48 % (8260)------------------------------ 0.21/0.48 % (8260)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.48 % (8260)Termination reason: Unknown 0.21/0.48 % (8260)Termination phase: Saturation 0.21/0.48 0.21/0.48 % (8260)Memory used [KB]: 5756 0.21/0.48 % (8260)Time elapsed: 0.019 s 0.21/0.48 % (8260)Instructions burned: 18 (million) 0.21/0.48 % (8260)------------------------------ 0.21/0.48 % (8260)------------------------------ 0.21/0.48 % (8263)Termination reason: Refutation not found, incomplete strategy 0.21/0.48 0.21/0.48 0.21/0.48 % (8263)Memory used [KB]: 5628 0.21/0.48 % (8263)Time elapsed: 0.010 s 0.21/0.48 % (8263)Instructions burned: 14 (million) 0.21/0.48 % (8263)------------------------------ 0.21/0.48 % (8263)------------------------------ 0.21/0.49 % (8267)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_7986 for (2399ds/21Mi) 0.21/0.50 % (8271)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_7986 for (2399ds/6Mi) 0.21/0.50 % (8272)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_7986 for (2399ds/377Mi) 0.21/0.50 % (8268)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_7986 for (2399ds/5Mi) 0.21/0.50 % (8271)Instruction limit reached! 0.21/0.50 % (8271)------------------------------ 0.21/0.50 % (8271)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.50 % (8271)Termination reason: Unknown 0.21/0.50 % (8271)Termination phase: SInE selection 0.21/0.50 0.21/0.50 % (8271)Memory used [KB]: 1151 0.21/0.50 % (8271)Time elapsed: 0.006 s 0.21/0.50 % (8271)Instructions burned: 7 (million) 0.21/0.50 % (8271)------------------------------ 0.21/0.50 % (8271)------------------------------ 0.21/0.50 % (8267)Instruction limit reached! 0.21/0.50 % (8267)------------------------------ 0.21/0.50 % (8267)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.50 % (8267)Termination reason: Unknown 0.21/0.50 % (8267)Termination phase: Property scanning 0.21/0.50 0.21/0.50 % (8267)Memory used [KB]: 1151 0.21/0.50 % (8261)Refutation not found, incomplete strategy 0.21/0.50 % (8261)------------------------------ 0.21/0.50 % (8261)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.50 % (8261)Termination reason: Refutation not found, incomplete strategy 0.21/0.50 0.21/0.50 0.21/0.50 % (8261)Memory used [KB]: 5884 0.21/0.50 % (8261)Time elapsed: 0.037 s 0.21/0.50 % (8261)Instructions burned: 41 (million) 0.21/0.50 % (8261)------------------------------ 0.21/0.50 % (8261)------------------------------ 0.21/0.50 % (8267)Time elapsed: 0.017 s 0.21/0.50 % (8267)Instructions burned: 21 (million) 0.21/0.50 % (8267)------------------------------ 0.21/0.50 % (8267)------------------------------ 0.21/0.50 % (8268)Instruction limit reached! 0.21/0.50 % (8268)------------------------------ 0.21/0.50 % (8268)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.50 % (8268)Termination reason: Unknown 0.21/0.50 % (8268)Termination phase: Property scanning 0.21/0.50 0.21/0.50 % (8268)Memory used [KB]: 1151 0.21/0.50 % (8268)Time elapsed: 0.007 s 0.21/0.50 % (8268)Instructions burned: 6 (million) 0.21/0.50 % (8268)------------------------------ 0.21/0.50 % (8268)------------------------------ 0.21/0.51 % (8276)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_7986 for (2398ds/779Mi) 0.21/0.52 % (8279)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_7986 for (2398ds/19Mi) 0.21/0.52 % (8280)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_7986 for (2398ds/879Mi) 0.21/0.52 % (8220)Instruction limit reached! 0.21/0.52 % (8220)------------------------------ 0.21/0.52 % (8220)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.52 % (8220)Termination reason: Unknown 0.21/0.52 % (8220)Termination phase: Saturation 0.21/0.52 0.21/0.52 % (8220)Memory used [KB]: 6908 0.21/0.52 % (8220)Time elapsed: 0.134 s 0.21/0.52 % (8220)Instructions burned: 183 (million) 0.21/0.52 % (8220)------------------------------ 0.21/0.52 % (8220)------------------------------ 0.21/0.53 % (8279)Refutation not found, incomplete strategy 0.21/0.53 % (8279)------------------------------ 0.21/0.53 % (8279)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.53 % (8279)Termination reason: Refutation not found, incomplete strategy 0.21/0.53 0.21/0.53 0.21/0.53 % (8279)Memory used [KB]: 5756 0.21/0.53 % (8279)Time elapsed: 0.009 s 0.21/0.53 % (8279)Instructions burned: 18 (million) 0.21/0.53 % (8279)------------------------------ 0.21/0.53 % (8279)------------------------------ 0.21/0.54 % (8289)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_7986 for (2398ds/30Mi) 0.21/0.54 % (8280)Refutation not found, incomplete strategy 0.21/0.54 % (8280)------------------------------ 0.21/0.54 % (8280)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.54 % (8280)Termination reason: Refutation not found, incomplete strategy 0.21/0.54 0.21/0.54 0.21/0.54 % (8280)Memory used [KB]: 5884 0.21/0.54 % (8280)Time elapsed: 0.020 s 0.21/0.54 % (8280)Instructions burned: 33 (million) 0.21/0.54 % (8280)------------------------------ 0.21/0.54 % (8280)------------------------------ 0.21/0.54 % (8288)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_7986 for (2398ds/3Mi) 0.21/0.54 % (8282)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_7986 for (2398ds/17Mi) 0.21/0.54 % (8288)Instruction limit reached! 0.21/0.54 % (8288)------------------------------ 0.21/0.54 % (8288)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.54 % (8288)Termination reason: Unknown 0.21/0.54 % (8288)Termination phase: shuffling 0.21/0.54 0.21/0.54 % (8288)Memory used [KB]: 1151 0.21/0.54 % (8288)Time elapsed: 0.004 s 0.21/0.54 % (8288)Instructions burned: 4 (million) 0.21/0.54 % (8288)------------------------------ 0.21/0.54 % (8288)------------------------------ 0.21/0.54 % (8289)Instruction limit reached! 0.21/0.54 % (8289)------------------------------ 0.21/0.54 % (8289)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.54 % (8289)Termination reason: Unknown 0.21/0.54 % (8289)Termination phase: Saturation 0.21/0.54 0.21/0.54 % (8289)Memory used [KB]: 5884 0.21/0.54 % (8289)Time elapsed: 0.011 s 0.21/0.54 % (8289)Instructions burned: 31 (million) 0.21/0.54 % (8289)------------------------------ 0.21/0.54 % (8289)------------------------------ 0.21/0.55 % (8276)First to succeed. 0.21/0.55 % (8292)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_7986 for (2398ds/127Mi) 0.21/0.55 % (8282)Instruction limit reached! 0.21/0.55 % (8282)------------------------------ 0.21/0.55 % (8282)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.55 % (8282)Termination reason: Unknown 0.21/0.55 % (8282)Termination phase: Property scanning 0.21/0.55 0.21/0.55 % (8282)Memory used [KB]: 1151 0.21/0.55 % (8282)Time elapsed: 0.015 s 0.21/0.55 % (8282)Instructions burned: 17 (million) 0.21/0.55 % (8282)------------------------------ 0.21/0.55 % (8282)------------------------------ 0.21/0.55 % (8276)Refutation found. Thanks to Tanya! 0.21/0.55 % SZS status Theorem for E---3.1_7986 0.21/0.55 % SZS output start Proof for E---3.1_7986 0.21/0.55 thf(type_def_5, type, mu: $tType). 0.21/0.55 thf(func_def_0, type, mu: $tType). 0.21/0.55 thf(func_def_1, type, meq_ind: mu > mu > $i > $o). 0.21/0.55 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.55 thf(func_def_4, type, mnot: ($i > $o) > $i > $o). 0.21/0.55 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.55 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.55 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.55 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.55 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.55 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.55 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o). 0.21/0.55 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.21/0.55 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o). 0.21/0.55 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 0.21/0.55 thf(func_def_15, type, mtrue: $i > $o). 0.21/0.55 thf(func_def_16, type, mfalse: $i > $o). 0.21/0.55 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.21/0.55 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 0.21/0.55 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o). 0.21/0.55 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o). 0.21/0.55 thf(func_def_21, type, mserial: ($i > $i > $o) > $o). 0.21/0.55 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o). 0.21/0.55 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o). 0.21/0.55 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o). 0.21/0.55 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o). 0.21/0.55 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o). 0.21/0.55 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o). 0.21/0.55 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o). 0.21/0.55 thf(func_def_29, type, mvalid: ($i > $o) > $o). 0.21/0.55 thf(func_def_30, type, minvalid: ($i > $o) > $o). 0.21/0.55 thf(func_def_31, type, msatisfiable: ($i > $o) > $o). 0.21/0.55 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o). 0.21/0.55 thf(func_def_33, type, a1: $i > $i > $o). 0.21/0.55 thf(func_def_34, type, a2: $i > $i > $o). 0.21/0.55 thf(func_def_35, type, a3: $i > $i > $o). 0.21/0.55 thf(func_def_36, type, jan: mu). 0.21/0.55 thf(func_def_37, type, piotr: mu). 0.21/0.55 thf(func_def_38, type, cola: mu). 0.21/0.55 thf(func_def_39, type, pepsi: mu). 0.21/0.55 thf(func_def_40, type, beer: mu). 0.21/0.55 thf(func_def_41, type, likes: mu > mu > $i > $o). 0.21/0.55 thf(func_def_42, type, very_much_likes: mu > mu > $i > $o). 0.21/0.55 thf(func_def_43, type, possibly_likes: mu > mu > $i > $o). 0.21/0.55 thf(func_def_44, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o). 0.21/0.55 thf(func_def_45, type, cond4s: ($i > $i > $o) > ($i > $i > $o) > $o). 0.21/0.55 thf(func_def_62, type, sK1: $i > $i). 0.21/0.55 thf(func_def_63, type, sK2: $i > $i). 0.21/0.55 thf(func_def_65, type, sK4: $i > $i). 0.21/0.55 thf(func_def_66, type, sK5: mu > $i > mu > $i). 0.21/0.55 thf(func_def_67, type, sK6: mu > $i > mu > $i). 0.21/0.55 thf(func_def_68, type, sK7: mu > $i > mu > $i). 0.21/0.55 thf(func_def_69, type, sK8: $i > $i). 0.21/0.55 thf(func_def_70, type, sK9: $i > $i). 0.21/0.55 thf(f729,plain,( 0.21/0.55 $false), 0.21/0.55 inference(trivial_inequality_removal,[],[f724])). 0.21/0.55 thf(f724,plain,( 0.21/0.55 ($true = $false)), 0.21/0.55 inference(superposition,[],[f721,f527])). 0.21/0.55 thf(f527,plain,( 0.21/0.55 ( ! [X1 : $i] : (((a3 @ X1 @ (sK8 @ X1)) = $true)) )), 0.21/0.55 inference(sigma_clausification,[],[f526])). 0.21/0.55 thf(f526,plain,( 0.21/0.55 ( ! [X1 : $i] : (($true = (?? @ $i @ (a3 @ X1)))) )), 0.21/0.55 inference(beta_eta_normalization,[],[f525])). 0.21/0.55 thf(f525,plain,( 0.21/0.55 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (?? @ $i @ (a3 @ Y0))) @ X1))) )), 0.21/0.55 inference(pi_clausification,[],[f298])). 0.21/0.55 thf(f298,plain,( 0.21/0.55 ($true = (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (a3 @ Y0)))))), 0.21/0.55 inference(beta_eta_normalization,[],[f275])). 0.21/0.55 thf(f275,plain,( 0.21/0.55 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))) @ a3))), 0.21/0.55 inference(definition_unfolding,[],[f219,f242])). 0.21/0.55 thf(f242,plain,( 0.21/0.55 (mserial = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))), 0.21/0.55 inference(cnf_transformation,[],[f146])). 0.21/0.55 thf(f146,plain,( 0.21/0.55 (mserial = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))), 0.21/0.55 inference(fool_elimination,[],[f145])). 0.21/0.55 thf(f145,plain,( 0.21/0.55 ((^[X0 : $i > $i > $o] : (! [X1] : ? [X2] : (X0 @ X1 @ X2))) = mserial)), 0.21/0.55 inference(rectify,[],[f20])). 0.21/0.55 thf(f20,axiom,( 0.21/0.55 ((^[X6 : $i > $i > $o] : (! [X8] : ? [X9] : (X6 @ X8 @ X9))) = mserial)), 0.21/0.55 file('/export/starexec/sandbox/tmp/tmp.Q5PgBuqsq8/E---3.1_7986.p',mserial)). 0.21/0.55 thf(f219,plain,( 0.21/0.55 ((mserial @ a3) = $true)), 0.21/0.55 inference(cnf_transformation,[],[f210])). 0.21/0.55 thf(f210,plain,( 0.21/0.55 ((mserial @ a3) = $true)), 0.21/0.55 inference(fool_elimination,[],[f209])). 0.21/0.55 thf(f209,plain,( 0.21/0.55 (mserial @ a3)), 0.21/0.55 inference(rectify,[],[f44])). 0.21/0.55 thf(f44,axiom,( 0.21/0.55 (mserial @ a3)), 0.21/0.55 file('/export/starexec/sandbox/tmp/tmp.Q5PgBuqsq8/E---3.1_7986.p',axioms_D_a3)). 0.21/0.55 thf(f721,plain,( 0.21/0.55 ( ! [X0 : $i] : (((a3 @ sK3 @ X0) = $false)) )), 0.21/0.55 inference(trivial_inequality_removal,[],[f713])). 0.21/0.55 thf(f713,plain,( 0.21/0.55 ( ! [X0 : $i] : (($false != $false) | ((a3 @ sK3 @ X0) = $false)) )), 0.21/0.55 inference(equality_factoring,[],[f704])). 0.21/0.55 thf(f704,plain,( 0.21/0.55 ( ! [X0 : $i,X1 : $i] : (((a3 @ sK3 @ X0) = $false) | ((a3 @ X1 @ X0) = $false)) )), 0.21/0.55 inference(trivial_inequality_removal,[],[f703])). 0.21/0.55 thf(f703,plain,( 0.21/0.55 ( ! [X0 : $i,X1 : $i] : (((a3 @ sK3 @ X0) = $false) | ($true = $false) | ((a3 @ X1 @ X0) = $false)) )), 0.21/0.55 inference(superposition,[],[f364,f575])). 0.21/0.55 thf(f575,plain,( 0.21/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (possibly_likes @ jan @ cola @ X2)) | ($false = (a3 @ X2 @ X0)) | ((a3 @ X1 @ X0) = $false)) )), 0.21/0.55 inference(trivial_inequality_removal,[],[f570])). 0.21/0.55 thf(f570,plain,( 0.21/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = $false) | ($true = (possibly_likes @ jan @ cola @ X2)) | ((a3 @ X1 @ X0) = $false) | ($false = (a3 @ X2 @ X0))) )), 0.21/0.55 inference(superposition,[],[f439,f382])). 0.21/0.55 thf(f382,plain,( 0.21/0.55 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (likes @ X2 @ X3 @ X4)) | ((possibly_likes @ X2 @ X3 @ X1) = $true) | ($false = (a3 @ X1 @ X4))) )), 0.21/0.55 inference(not_proxy_clausification,[],[f381])). 0.21/0.55 thf(f381,plain,( 0.21/0.55 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((possibly_likes @ X2 @ X3 @ X1) = $true) | ($false = (a3 @ X1 @ X4)) | ($true = (~ (likes @ X2 @ X3 @ X4)))) )), 0.21/0.55 inference(not_proxy_clausification,[],[f380])). 0.21/0.55 thf(f380,plain,( 0.21/0.55 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((possibly_likes @ X2 @ X3 @ X1) = $true) | ($true = (~ (a3 @ X1 @ X4))) | ($true = (~ (likes @ X2 @ X3 @ X4)))) )), 0.21/0.55 inference(binary_proxy_clausification,[],[f379])). 0.21/0.55 thf(f379,plain,( 0.21/0.55 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = ((~ (likes @ X2 @ X3 @ X4)) | (~ (a3 @ X1 @ X4)))) | ((possibly_likes @ X2 @ X3 @ X1) = $true)) )), 0.21/0.55 inference(beta_eta_normalization,[],[f378])). 0.21/0.55 thf(f378,plain,( 0.21/0.55 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = ((^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0)))) @ X4)) | ((possibly_likes @ X2 @ X3 @ X1) = $true)) )), 0.21/0.55 inference(pi_clausification,[],[f377])). 0.21/0.55 thf(f377,plain,( 0.21/0.55 ( ! [X2 : mu,X3 : mu,X1 : $i] : (((possibly_likes @ X2 @ X3 @ X1) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0))))) = $true)) )), 0.21/0.55 inference(binary_proxy_clausification,[],[f376])). 0.21/0.56 thf(f376,plain,( 0.21/0.56 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0))))) | (possibly_likes @ X2 @ X3 @ X1)))) )), 0.21/0.56 inference(beta_eta_normalization,[],[f375])). 0.21/0.56 thf(f375,plain,( 0.21/0.56 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (likes @ X2 @ Y0 @ Y1)) | (~ (a3 @ X1 @ Y1))))) | (possibly_likes @ X2 @ Y0 @ X1))) @ X3))) )), 0.21/0.56 inference(pi_clausification,[],[f374])). 0.21/0.56 thf(f374,plain,( 0.21/0.56 ( ! [X2 : mu,X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (likes @ X2 @ Y0 @ Y1)) | (~ (a3 @ X1 @ Y1))))) | (possibly_likes @ X2 @ Y0 @ X1)))))) )), 0.21/0.56 inference(beta_eta_normalization,[],[f373])). 0.21/0.56 thf(f373,plain,( 0.21/0.56 ( ! [X2 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (likes @ Y0 @ Y1 @ Y2)) | (~ (a3 @ X1 @ Y2))))) | (possibly_likes @ Y0 @ Y1 @ X1))))) @ X2))) )), 0.21/0.56 inference(pi_clausification,[],[f372])). 0.21/0.56 thf(f372,plain,( 0.21/0.56 ( ! [X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (likes @ Y0 @ Y1 @ Y2)) | (~ (a3 @ X1 @ Y2))))) | (possibly_likes @ Y0 @ Y1 @ X1)))))))) )), 0.21/0.56 inference(beta_eta_normalization,[],[f371])). 0.21/0.56 thf(f371,plain,( 0.21/0.56 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))) | (possibly_likes @ Y1 @ Y2 @ Y0))))))) @ X1))) )), 0.21/0.56 inference(pi_clausification,[],[f318])). 0.21/0.56 thf(f318,plain,( 0.21/0.56 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))) | (possibly_likes @ Y1 @ Y2 @ Y0)))))))))), 0.21/0.56 inference(boolean_simplification,[],[f317])). 0.21/0.56 thf(f317,plain,( 0.21/0.56 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((~ (~ (!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))))) | (possibly_likes @ Y1 @ Y2 @ Y0)))))))))), 0.21/0.56 inference(beta_eta_normalization,[],[f282])). 0.21/0.56 thf(f282,plain,( 0.21/0.56 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7) | (~ (Y4 @ Y6 @ Y7)))))))))) @ Y2 @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ a3 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))), 0.21/0.56 inference(definition_unfolding,[],[f230,f256,f247,f247,f270,f274])). 0.21/0.56 thf(f274,plain,( 0.21/0.56 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))), 0.21/0.56 inference(definition_unfolding,[],[f262,f258,f240,f258])). 0.21/0.56 thf(f240,plain,( 0.21/0.56 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))), 0.21/0.56 inference(cnf_transformation,[],[f172])). 0.21/0.56 thf(f172,plain,( 0.21/0.56 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))), 0.21/0.56 inference(fool_elimination,[],[f171])). 0.21/0.56 thf(f171,plain,( 0.21/0.56 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))) = mbox)), 0.21/0.56 inference(rectify,[],[f16])). 0.21/0.56 thf(f16,axiom,( 0.21/0.56 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))) = mbox)), 0.21/0.56 file('/export/starexec/sandbox/tmp/tmp.Q5PgBuqsq8/E---3.1_7986.p',mbox)). 0.21/0.56 thf(f258,plain,( 0.21/0.56 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 0.21/0.56 inference(cnf_transformation,[],[f151])). 0.21/0.56 thf(f151,plain,( 0.21/0.56 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 0.21/0.56 inference(fool_elimination,[],[f150])). 0.21/0.56 thf(f150,plain,( 0.21/0.56 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)), 0.21/0.56 inference(rectify,[],[f3])). 0.21/0.56 thf(f3,axiom,( 0.21/0.56 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)), 0.21/0.56 file('/export/starexec/sandbox/tmp/tmp.Q5PgBuqsq8/E---3.1_7986.p',mnot)). 0.21/0.56 thf(f262,plain,( 0.21/0.56 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))), 0.21/0.56 inference(cnf_transformation,[],[f140])). 0.21/0.56 thf(f140,plain,( 0.21/0.56 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))), 0.21/0.56 inference(fool_elimination,[],[f139])). 0.21/0.56 thf(f139,plain,( 0.21/0.56 ((^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))) = mdia)), 0.21/0.56 inference(rectify,[],[f17])). 0.21/0.56 thf(f17,axiom,( 0.21/0.56 ((^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))) = mdia)), 0.21/0.56 file('/export/starexec/sandbox/tmp/tmp.Q5PgBuqsq8/E---3.1_7986.p',mdia)). 0.21/0.56 thf(f270,plain,( 0.21/0.56 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))), 0.21/0.56 inference(definition_unfolding,[],[f257,f239,f258])). 0.21/0.56 thf(f239,plain,( 0.21/0.56 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))), 0.21/0.56 inference(cnf_transformation,[],[f200])). 0.21/0.56 thf(f200,plain,( 0.21/0.56 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))), 0.21/0.56 inference(fool_elimination,[],[f199])). 0.21/0.56 thf(f199,plain,( 0.21/0.56 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))), 0.21/0.56 inference(rectify,[],[f4])). 0.21/0.56 thf(f4,axiom,( 0.21/0.56 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))), 0.21/0.56 file('/export/starexec/sandbox/tmp/tmp.Q5PgBuqsq8/E---3.1_7986.p',mor)). 0.21/0.56 thf(f257,plain,( 0.21/0.56 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 0.21/0.56 inference(cnf_transformation,[],[f85])). 0.21/0.56 thf(f85,plain,( 0.21/0.56 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 0.21/0.56 inference(fool_elimination,[],[f84])). 0.21/0.56 thf(f84,plain,( 0.21/0.56 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)), 0.21/0.56 inference(rectify,[],[f6])). 0.21/0.56 thf(f6,axiom,( 0.21/0.56 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)), 0.21/0.56 file('/export/starexec/sandbox/tmp/tmp.Q5PgBuqsq8/E---3.1_7986.p',mimplies)). 0.21/0.56 thf(f247,plain,( 0.21/0.56 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))), 0.21/0.56 inference(cnf_transformation,[],[f144])). 0.21/0.56 thf(f144,plain,( 0.21/0.56 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))), 0.21/0.56 inference(fool_elimination,[],[f143])). 0.21/0.56 thf(f143,plain,( 0.21/0.56 (mforall_ind = (^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))))), 0.21/0.56 inference(rectify,[],[f10])). 0.21/0.56 thf(f10,axiom,( 0.21/0.56 (mforall_ind = (^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))))), 0.21/0.56 file('/export/starexec/sandbox/tmp/tmp.Q5PgBuqsq8/E---3.1_7986.p',mforall_ind)). 0.21/0.56 thf(f256,plain,( 0.21/0.56 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 0.21/0.56 inference(cnf_transformation,[],[f142])). 0.21/0.56 thf(f142,plain,( 0.21/0.56 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 0.21/0.56 inference(fool_elimination,[],[f141])). 0.21/0.56 thf(f141,plain,( 0.21/0.56 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)), 0.21/0.56 inference(rectify,[],[f28])). 0.21/0.56 thf(f28,axiom,( 0.21/0.56 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)), 0.21/0.56 file('/export/starexec/sandbox/tmp/tmp.Q5PgBuqsq8/E---3.1_7986.p',mvalid)). 0.21/0.56 thf(f230,plain,( 0.21/0.56 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a3 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))), 0.21/0.56 inference(cnf_transformation,[],[f180])). 0.21/0.56 thf(f180,plain,( 0.21/0.56 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a3 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))), 0.21/0.56 inference(fool_elimination,[],[f179])). 0.21/0.56 thf(f179,plain,( 0.21/0.56 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a3 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))), 0.21/0.56 inference(rectify,[],[f61])). 0.21/0.56 thf(f61,axiom,( 0.21/0.56 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a3 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))), 0.21/0.56 file('/export/starexec/sandbox/tmp/tmp.Q5PgBuqsq8/E---3.1_7986.p',axiom_user_communication_5)). 0.21/0.56 thf(f439,plain,( 0.21/0.56 ( ! [X2 : $i,X1 : $i] : (($true = (likes @ jan @ cola @ X2)) | ($false = (a3 @ X1 @ X2))) )), 0.21/0.56 inference(not_proxy_clausification,[],[f438])). 0.21/0.56 thf(f438,plain,( 0.21/0.56 ( ! [X2 : $i,X1 : $i] : (($true = (~ (a3 @ X1 @ X2))) | ($true = (likes @ jan @ cola @ X2))) )), 0.21/0.56 inference(binary_proxy_clausification,[],[f437])). 0.21/0.56 thf(f437,plain,( 0.21/0.56 ( ! [X2 : $i,X1 : $i] : (($true = ((likes @ jan @ cola @ X2) | (~ (a3 @ X1 @ X2))))) )), 0.21/0.56 inference(beta_eta_normalization,[],[f436])). 0.21/0.56 thf(f436,plain,( 0.21/0.56 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a3 @ X1 @ Y0)))) @ X2) = $true)) )), 0.21/0.56 inference(pi_clausification,[],[f435])). 0.21/0.56 thf(f435,plain,( 0.21/0.56 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a3 @ X1 @ Y0))))))) )), 0.21/0.56 inference(beta_eta_normalization,[],[f434])). 0.21/0.56 thf(f434,plain,( 0.21/0.56 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a3 @ Y0 @ Y1)))))) @ X1))) )), 0.21/0.56 inference(pi_clausification,[],[f309])). 0.21/0.56 thf(f309,plain,( 0.21/0.56 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a3 @ Y0 @ Y1))))))) = $true)), 0.21/0.56 inference(beta_eta_normalization,[],[f286])). 0.21/0.56 thf(f286,plain,( 0.21/0.56 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a3 @ (likes @ jan @ cola))) = $true)), 0.21/0.56 inference(definition_unfolding,[],[f244,f256,f240])). 0.21/0.56 thf(f244,plain,( 0.21/0.56 ((mvalid @ (mbox @ a3 @ (likes @ jan @ cola))) = $true)), 0.21/0.56 inference(cnf_transformation,[],[f132])). 0.21/0.56 thf(f132,plain,( 0.21/0.56 ((mvalid @ (mbox @ a3 @ (likes @ jan @ cola))) = $true)), 0.21/0.56 inference(fool_elimination,[],[f131])). 0.21/0.56 thf(f131,plain,( 0.21/0.56 (mvalid @ (mbox @ a3 @ (likes @ jan @ cola)))), 0.21/0.56 inference(rectify,[],[f55])). 0.21/0.56 thf(f55,axiom,( 0.21/0.56 (mvalid @ (mbox @ a3 @ (likes @ jan @ cola)))), 0.21/0.56 file('/export/starexec/sandbox/tmp/tmp.Q5PgBuqsq8/E---3.1_7986.p',axiom_a3_1)). 0.21/0.56 thf(f364,plain,( 0.21/0.56 ((possibly_likes @ jan @ cola @ sK3) = $false)), 0.21/0.56 inference(sigma_clausification,[],[f363])). 0.21/0.56 thf(f363,plain,( 0.21/0.56 ($false = (!! @ $i @ (possibly_likes @ jan @ cola)))), 0.21/0.56 inference(not_proxy_clausification,[],[f320])). 0.21/0.56 thf(f320,plain,( 0.21/0.56 ((~ (!! @ $i @ (possibly_likes @ jan @ cola))) = $true)), 0.21/0.56 inference(beta_eta_normalization,[],[f294])). 0.21/0.56 thf(f294,plain,( 0.21/0.56 ($true = (~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ (possibly_likes @ jan @ cola))))), 0.21/0.56 inference(definition_unfolding,[],[f265,f256])). 0.21/0.56 thf(f265,plain,( 0.21/0.56 ($true = (~ (mvalid @ (possibly_likes @ jan @ cola))))), 0.21/0.56 inference(cnf_transformation,[],[f134])). 0.21/0.56 thf(f134,plain,( 0.21/0.56 ($true = (~ (mvalid @ (possibly_likes @ jan @ cola))))), 0.21/0.56 inference(fool_elimination,[],[f133])). 0.21/0.56 thf(f133,plain,( 0.21/0.56 ~(mvalid @ (possibly_likes @ jan @ cola))), 0.21/0.56 inference(rectify,[],[f64])). 0.21/0.56 thf(f64,negated_conjecture,( 0.21/0.56 ~(mvalid @ (possibly_likes @ jan @ cola))), 0.21/0.56 inference(negated_conjecture,[],[f63])). 0.21/0.56 thf(f63,conjecture,( 0.21/0.56 (mvalid @ (possibly_likes @ jan @ cola))), 0.21/0.56 file('/export/starexec/sandbox/tmp/tmp.Q5PgBuqsq8/E---3.1_7986.p',conj)). 0.21/0.56 % SZS output end Proof for E---3.1_7986 0.21/0.56 % (8276)------------------------------ 0.21/0.56 % (8276)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.56 % (8276)Termination reason: Refutation 0.21/0.56 0.21/0.56 % (8276)Memory used [KB]: 6140 0.21/0.56 % (8276)Time elapsed: 0.044 s 0.21/0.56 % (8276)Instructions burned: 78 (million) 0.21/0.56 % (8276)------------------------------ 0.21/0.56 % (8276)------------------------------ 0.21/0.56 % (8219)Success in time 0.164 s 0.21/0.56 EOF