0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.09 % Command : run_vampire %s %d THM 0.08/0.28 % Computer : n032.cluster.edu 0.08/0.28 % Model : x86_64 x86_64 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.28 % Memory : 8042.1875MB 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.28 % CPULimit : 1440 0.08/0.28 % WCLimit : 180 0.08/0.28 % DateTime : Thu Jul 4 08:08:09 EDT 2024 0.08/0.28 % CPUTime : 0.14/0.30 This is a THF_ problem 0.14/0.30 Running higher-order theorem proving 0.14/0.31 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.822h8qVVmu/E---3.1_23981.p -m 16384 -t 180 0.16/0.33 % (24210)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_23981 for (1799ds/183Mi) 0.16/0.33 % (24215)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_23981 for (1799ds/275Mi) 0.16/0.33 % (24216)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_23981 for (1799ds/18Mi) 0.16/0.33 % (24214)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_23981 for (1799ds/2Mi) 0.16/0.34 % (24213)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_23981 for (1799ds/2Mi) 0.16/0.34 % (24211)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_23981 for (1799ds/4Mi) 0.16/0.34 % (24213)Instruction limit reached! 0.16/0.34 % (24213)------------------------------ 0.16/0.34 % (24213)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.34 % (24213)Termination reason: Unknown 0.16/0.34 % (24214)Instruction limit reached! 0.16/0.34 % (24214)------------------------------ 0.16/0.34 % (24214)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.34 % (24213)Termination phase: shuffling 0.16/0.34 0.16/0.34 % (24213)Memory used [KB]: 1023 0.16/0.34 % (24213)Time elapsed: 0.003 s 0.16/0.34 % (24213)Instructions burned: 2 (million) 0.16/0.34 % (24213)------------------------------ 0.16/0.34 % (24213)------------------------------ 0.16/0.34 % (24214)Termination reason: Unknown 0.16/0.34 % (24214)Termination phase: shuffling 0.16/0.34 0.16/0.34 % (24214)Memory used [KB]: 1023 0.16/0.34 % (24214)Time elapsed: 0.003 s 0.16/0.34 % (24214)Instructions burned: 3 (million) 0.16/0.34 % (24214)------------------------------ 0.16/0.34 % (24214)------------------------------ 0.16/0.34 % (24211)Instruction limit reached! 0.16/0.34 % (24211)------------------------------ 0.16/0.34 % (24211)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.34 % (24211)Termination reason: Unknown 0.16/0.34 % (24211)Termination phase: Property scanning 0.16/0.34 0.16/0.34 % (24211)Memory used [KB]: 1151 0.16/0.34 % (24211)Time elapsed: 0.004 s 0.16/0.34 % (24211)Instructions burned: 5 (million) 0.16/0.34 % (24211)------------------------------ 0.16/0.34 % (24211)------------------------------ 0.16/0.34 % (24212)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_23981 for (1799ds/27Mi) 0.16/0.34 % (24215)Refutation not found, incomplete strategy 0.16/0.34 % (24215)------------------------------ 0.16/0.34 % (24215)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.34 % (24215)Termination reason: Refutation not found, incomplete strategy 0.16/0.34 0.16/0.34 0.16/0.34 % (24215)Memory used [KB]: 5628 0.16/0.34 % (24215)Time elapsed: 0.009 s 0.16/0.34 % (24215)Instructions burned: 12 (million) 0.16/0.34 % (24215)------------------------------ 0.16/0.34 % (24215)------------------------------ 0.16/0.34 % (24216)Instruction limit reached! 0.16/0.34 % (24216)------------------------------ 0.16/0.34 % (24216)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.34 % (24216)Termination reason: Unknown 0.16/0.34 % (24216)Termination phase: Saturation 0.16/0.34 0.16/0.34 % (24216)Memory used [KB]: 1151 0.16/0.34 % (24216)Time elapsed: 0.011 s 0.16/0.34 % (24216)Instructions burned: 19 (million) 0.16/0.34 % (24216)------------------------------ 0.16/0.34 % (24216)------------------------------ 0.16/0.35 % (24217)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_23981 for (1799ds/3Mi) 0.16/0.35 % (24217)Instruction limit reached! 0.16/0.35 % (24217)------------------------------ 0.16/0.35 % (24217)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.35 % (24217)Termination reason: Unknown 0.16/0.35 % (24217)Termination phase: shuffling 0.16/0.35 0.16/0.35 % (24217)Memory used [KB]: 1151 0.16/0.35 % (24217)Time elapsed: 0.004 s 0.16/0.35 % (24217)Instructions burned: 4 (million) 0.16/0.35 % (24217)------------------------------ 0.16/0.35 % (24217)------------------------------ 0.16/0.35 % (24218)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_23981 for (1799ds/37Mi) 0.16/0.35 % (24219)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_23981 for (1799ds/15Mi) 0.16/0.36 % (24212)Instruction limit reached! 0.16/0.36 % (24212)------------------------------ 0.16/0.36 % (24212)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.36 % (24212)Termination reason: Unknown 0.16/0.36 % (24212)Termination phase: Saturation 0.16/0.36 0.16/0.36 % (24212)Memory used [KB]: 5756 0.16/0.36 % (24212)Time elapsed: 0.019 s 0.16/0.36 % (24212)Instructions burned: 27 (million) 0.16/0.36 % (24212)------------------------------ 0.16/0.36 % (24212)------------------------------ 0.16/0.36 % (24220)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_23981 for (1799ds/3Mi) 0.16/0.36 % (24221)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_23981 for (1799ds/1041Mi) 0.16/0.36 % (24220)Instruction limit reached! 0.16/0.36 % (24220)------------------------------ 0.16/0.36 % (24220)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.36 % (24220)Termination reason: Unknown 0.16/0.36 % (24220)Termination phase: shuffling 0.16/0.36 0.16/0.36 % (24220)Memory used [KB]: 1151 0.16/0.36 % (24220)Time elapsed: 0.004 s 0.16/0.36 % (24220)Instructions burned: 4 (million) 0.16/0.36 % (24220)------------------------------ 0.16/0.36 % (24220)------------------------------ 0.16/0.36 % (24219)Instruction limit reached! 0.16/0.36 % (24219)------------------------------ 0.16/0.36 % (24219)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.36 % (24219)Termination reason: Unknown 0.16/0.36 % (24219)Termination phase: Property scanning 0.16/0.36 0.16/0.36 % (24219)Memory used [KB]: 1151 0.16/0.36 % (24219)Time elapsed: 0.009 s 0.16/0.36 % (24219)Instructions burned: 16 (million) 0.16/0.36 % (24219)------------------------------ 0.16/0.36 % (24219)------------------------------ 0.16/0.37 % (24222)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_23981 for (1799ds/7Mi) 0.16/0.37 % (24218)Instruction limit reached! 0.16/0.37 % (24218)------------------------------ 0.16/0.37 % (24218)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.37 % (24218)Termination reason: Unknown 0.16/0.37 % (24222)Instruction limit reached! 0.16/0.37 % (24222)------------------------------ 0.16/0.37 % (24222)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.37 % (24222)Termination reason: Unknown 0.16/0.37 % (24222)Termination phase: Property scanning 0.16/0.37 0.16/0.37 % (24222)Memory used [KB]: 1151 0.16/0.37 % (24222)Time elapsed: 0.006 s 0.16/0.37 % (24222)Instructions burned: 7 (million) 0.16/0.37 % (24222)------------------------------ 0.16/0.37 % (24222)------------------------------ 0.16/0.37 % (24218)Termination phase: Saturation 0.16/0.37 0.16/0.37 % (24218)Memory used [KB]: 5884 0.16/0.37 % (24218)Time elapsed: 0.020 s 0.16/0.37 % (24218)Instructions burned: 38 (million) 0.16/0.37 % (24218)------------------------------ 0.16/0.37 % (24218)------------------------------ 0.16/0.38 % (24223)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_23981 for (1799ds/16Mi) 0.16/0.38 % (24225)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_23981 for (1799ds/3Mi) 0.16/0.38 % (24225)Instruction limit reached! 0.16/0.38 % (24225)------------------------------ 0.16/0.38 % (24225)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.38 % (24225)Termination reason: Unknown 0.16/0.38 % (24225)Termination phase: shuffling 0.16/0.38 0.16/0.38 % (24225)Memory used [KB]: 1023 0.16/0.38 % (24225)Time elapsed: 0.004 s 0.16/0.38 % (24225)Instructions burned: 3 (million) 0.16/0.38 % (24225)------------------------------ 0.16/0.38 % (24225)------------------------------ 0.16/0.38 % (24226)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_23981 for (1799ds/3Mi) 0.16/0.38 % (24226)Instruction limit reached! 0.16/0.38 % (24226)------------------------------ 0.16/0.38 % (24226)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.38 % (24226)Termination reason: Unknown 0.16/0.38 % (24226)Termination phase: shuffling 0.16/0.38 0.16/0.38 % (24226)Memory used [KB]: 1023 0.16/0.38 % (24226)Time elapsed: 0.003 s 0.16/0.38 % (24226)Instructions burned: 3 (million) 0.16/0.38 % (24226)------------------------------ 0.16/0.38 % (24226)------------------------------ 0.16/0.38 % (24223)Instruction limit reached! 0.16/0.38 % (24223)------------------------------ 0.16/0.38 % (24223)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.38 % (24223)Termination reason: Unknown 0.16/0.38 % (24223)Termination phase: Property scanning 0.16/0.38 0.16/0.38 % (24223)Memory used [KB]: 1151 0.16/0.38 % (24223)Time elapsed: 0.011 s 0.16/0.38 % (24223)Instructions burned: 17 (million) 0.16/0.38 % (24223)------------------------------ 0.16/0.38 % (24223)------------------------------ 0.16/0.39 % (24229)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_23981 for (1799ds/7Mi) 0.16/0.39 % (24230)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_23981 for (1799ds/3Mi) 0.16/0.39 % (24230)Instruction limit reached! 0.16/0.39 % (24230)------------------------------ 0.16/0.39 % (24230)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.39 % (24230)Termination reason: Unknown 0.16/0.39 % (24230)Termination phase: shuffling 0.16/0.39 0.16/0.39 % (24230)Memory used [KB]: 1151 0.16/0.39 % (24230)Time elapsed: 0.004 s 0.16/0.39 % (24230)Instructions burned: 3 (million) 0.16/0.39 % (24230)------------------------------ 0.16/0.39 % (24230)------------------------------ 0.16/0.39 % (24229)Instruction limit reached! 0.16/0.39 % (24229)------------------------------ 0.16/0.39 % (24229)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.39 % (24229)Termination reason: Unknown 0.16/0.39 % (24229)Termination phase: Property scanning 0.16/0.39 0.16/0.39 % (24229)Memory used [KB]: 1151 0.16/0.39 % (24229)Time elapsed: 0.006 s 0.16/0.39 % (24229)Instructions burned: 7 (million) 0.16/0.39 % (24229)------------------------------ 0.16/0.39 % (24229)------------------------------ 0.16/0.39 % (24233)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_23981 for (1799ds/4Mi) 0.16/0.39 % (24233)Instruction limit reached! 0.16/0.39 % (24233)------------------------------ 0.16/0.39 % (24233)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.39 % (24233)Termination reason: Unknown 0.16/0.39 % (24233)Termination phase: shuffling 0.16/0.39 0.16/0.39 % (24233)Memory used [KB]: 1151 0.16/0.39 % (24233)Time elapsed: 0.004 s 0.16/0.39 % (24233)Instructions burned: 4 (million) 0.16/0.39 % (24233)------------------------------ 0.16/0.39 % (24233)------------------------------ 0.16/0.40 % (24236)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_23981 for (1799ds/710Mi) 0.16/0.40 % (24235)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_23981 for (1799ds/18Mi) 0.16/0.40 % (24210)Refutation not found, non-redundant clauses discarded% (24210)------------------------------ 0.16/0.40 % (24210)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.40 % (24210)Termination reason: Refutation not found, non-redundant clauses discarded 0.16/0.40 0.16/0.40 % (24210)Memory used [KB]: 6780 0.16/0.40 % (24210)Time elapsed: 0.074 s 0.16/0.40 % (24210)Instructions burned: 181 (million) 0.16/0.40 % (24210)------------------------------ 0.16/0.40 % (24210)------------------------------ 0.16/0.41 % (24237)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_23981 for (1799ds/6Mi) 0.16/0.41 % (24238)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_23981 for (1799ds/902Mi) 0.16/0.41 % (24237)Instruction limit reached! 0.16/0.41 % (24237)------------------------------ 0.16/0.41 % (24237)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.41 % (24237)Termination reason: Unknown 0.16/0.41 % (24237)Termination phase: Property scanning 0.16/0.41 0.16/0.41 % (24237)Memory used [KB]: 1151 0.16/0.41 % (24237)Time elapsed: 0.005 s 0.16/0.41 % (24237)Instructions burned: 6 (million) 0.16/0.41 % (24237)------------------------------ 0.16/0.41 % (24237)------------------------------ 0.16/0.41 % (24239)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_23981 for (1799ds/21Mi) 0.16/0.41 % (24235)Instruction limit reached! 0.16/0.41 % (24235)------------------------------ 0.16/0.41 % (24235)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.41 % (24235)Termination reason: Unknown 0.16/0.41 % (24235)Termination phase: Saturation 0.16/0.41 0.16/0.41 % (24235)Memory used [KB]: 5756 0.16/0.41 % (24235)Time elapsed: 0.012 s 0.16/0.41 % (24235)Instructions burned: 19 (million) 0.16/0.41 % (24235)------------------------------ 0.16/0.41 % (24235)------------------------------ 0.16/0.41 % (24240)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_23981 for (1799ds/5Mi) 0.16/0.42 % (24240)Instruction limit reached! 0.16/0.42 % (24240)------------------------------ 0.16/0.42 % (24240)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.42 % (24240)Termination reason: Unknown 0.16/0.42 % (24240)Termination phase: Property scanning 0.16/0.42 0.16/0.42 % (24240)Memory used [KB]: 1151 0.16/0.42 % (24240)Time elapsed: 0.004 s 0.16/0.42 % (24240)Instructions burned: 7 (million) 0.16/0.42 % (24240)------------------------------ 0.16/0.42 % (24240)------------------------------ 0.16/0.42 % (24238)Refutation not found, incomplete strategy 0.16/0.42 % (24238)------------------------------ 0.16/0.42 % (24238)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.42 % (24238)Termination reason: Refutation not found, incomplete strategy 0.16/0.42 0.16/0.42 0.16/0.42 % (24238)Memory used [KB]: 5628 0.16/0.42 % (24238)Time elapsed: 0.010 s 0.16/0.42 % (24238)Instructions burned: 14 (million) 0.16/0.42 % (24238)------------------------------ 0.16/0.42 % (24238)------------------------------ 0.16/0.42 % (24239)Instruction limit reached! 0.16/0.42 % (24239)------------------------------ 0.16/0.42 % (24239)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.42 % (24239)Termination reason: Unknown 0.16/0.42 % (24239)Termination phase: Saturation 0.16/0.42 0.16/0.42 % (24239)Memory used [KB]: 1151 0.16/0.42 % (24239)Time elapsed: 0.012 s 0.16/0.42 % (24239)Instructions burned: 21 (million) 0.16/0.42 % (24239)------------------------------ 0.16/0.42 % (24239)------------------------------ 0.16/0.42 % (24236)Refutation not found, incomplete strategy 0.16/0.42 % (24236)------------------------------ 0.16/0.42 % (24236)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.42 % (24236)Termination reason: Refutation not found, incomplete strategy 0.16/0.42 0.16/0.42 0.16/0.42 % (24236)Memory used [KB]: 5884 0.16/0.42 % (24236)Time elapsed: 0.025 s 0.16/0.42 % (24236)Instructions burned: 40 (million) 0.16/0.42 % (24236)------------------------------ 0.16/0.42 % (24236)------------------------------ 0.16/0.42 % (24241)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_23981 for (1799ds/6Mi) 0.16/0.42 % (24242)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_23981 for (1799ds/377Mi) 0.16/0.43 % (24241)Instruction limit reached! 0.16/0.43 % (24241)------------------------------ 0.16/0.43 % (24241)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.43 % (24241)Termination reason: Unknown 0.16/0.43 % (24241)Termination phase: Property scanning 0.16/0.43 0.16/0.43 % (24241)Memory used [KB]: 1151 0.16/0.43 % (24241)Time elapsed: 0.005 s 0.16/0.43 % (24241)Instructions burned: 6 (million) 0.16/0.43 % (24241)------------------------------ 0.16/0.43 % (24241)------------------------------ 0.16/0.43 % (24245)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_23981 for (1799ds/19Mi) 0.16/0.43 % (24244)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_23981 for (1799ds/779Mi) 0.16/0.44 % (24246)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_23981 for (1799ds/879Mi) 0.16/0.44 % (24245)Instruction limit reached! 0.16/0.44 % (24245)------------------------------ 0.16/0.44 % (24245)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.44 % (24245)Termination reason: Unknown 0.16/0.44 % (24245)Termination phase: Saturation 0.16/0.44 0.16/0.44 % (24245)Memory used [KB]: 5756 0.16/0.44 % (24245)Time elapsed: 0.009 s 0.16/0.44 % (24245)Instructions burned: 19 (million) 0.16/0.44 % (24245)------------------------------ 0.16/0.44 % (24245)------------------------------ 0.16/0.44 % (24247)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_23981 for (1799ds/17Mi) 0.16/0.44 % (24248)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_23981 for (1799ds/3Mi) 0.16/0.44 % (24248)Instruction limit reached! 0.16/0.44 % (24248)------------------------------ 0.16/0.44 % (24248)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.44 % (24248)Termination reason: Unknown 0.16/0.44 % (24248)Termination phase: shuffling 0.16/0.44 0.16/0.44 % (24248)Memory used [KB]: 1023 0.16/0.44 % (24248)Time elapsed: 0.002 s 0.16/0.44 % (24248)Instructions burned: 3 (million) 0.16/0.44 % (24248)------------------------------ 0.16/0.44 % (24248)------------------------------ 0.16/0.45 % (24247)Instruction limit reached! 0.16/0.45 % (24247)------------------------------ 0.16/0.45 % (24247)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.45 % (24247)Termination reason: Unknown 0.16/0.45 % (24247)Termination phase: Property scanning 0.16/0.45 0.16/0.45 % (24247)Memory used [KB]: 1151 0.16/0.45 % (24247)Time elapsed: 0.010 s 0.16/0.45 % (24247)Instructions burned: 18 (million) 0.16/0.45 % (24247)------------------------------ 0.16/0.45 % (24247)------------------------------ 0.16/0.45 % (24255)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_23981 for (1798ds/127Mi) 0.16/0.45 % (24246)Refutation not found, incomplete strategy 0.16/0.45 % (24246)------------------------------ 0.16/0.45 % (24246)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.45 % (24246)Termination reason: Refutation not found, incomplete strategy 0.16/0.45 0.16/0.45 0.16/0.45 % (24246)Memory used [KB]: 5884 0.16/0.45 % (24246)Time elapsed: 0.019 s 0.16/0.45 % (24246)Instructions burned: 32 (million) 0.16/0.45 % (24246)------------------------------ 0.16/0.45 % (24246)------------------------------ 0.16/0.45 % (24251)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_23981 for (1798ds/30Mi) 0.16/0.47 % (24256)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_23981 for (1798ds/100Mi) 0.16/0.47 % (24251)Instruction limit reached! 0.16/0.47 % (24251)------------------------------ 0.16/0.47 % (24251)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.47 % (24251)Termination reason: Unknown 0.16/0.47 % (24251)Termination phase: Saturation 0.16/0.47 0.16/0.47 % (24251)Memory used [KB]: 5884 0.16/0.47 % (24251)Time elapsed: 0.017 s 0.16/0.47 % (24251)Instructions burned: 32 (million) 0.16/0.47 % (24251)------------------------------ 0.16/0.47 % (24251)------------------------------ 0.16/0.47 % (24257)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_23981 for (1798ds/3Mi) 0.16/0.47 % (24257)Instruction limit reached! 0.16/0.47 % (24257)------------------------------ 0.16/0.47 % (24257)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.47 % (24257)Termination reason: Unknown 0.16/0.47 % (24257)Termination phase: shuffling 0.16/0.47 0.16/0.47 % (24257)Memory used [KB]: 1151 0.16/0.47 % (24257)Time elapsed: 0.004 s 0.16/0.47 % (24257)Instructions burned: 4 (million) 0.16/0.47 % (24257)------------------------------ 0.16/0.47 % (24257)------------------------------ 0.16/0.48 % (24244)First to succeed. 0.16/0.49 % (24258)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_23981 for (1798ds/20Mi) 0.16/0.49 % (24244)Refutation found. Thanks to Tanya! 0.16/0.49 % SZS status Theorem for E---3.1_23981 0.16/0.49 % SZS output start Proof for E---3.1_23981 0.16/0.49 thf(type_def_5, type, mu: $tType). 0.16/0.49 thf(func_def_0, type, mu: $tType). 0.16/0.49 thf(func_def_1, type, meq_ind: mu > mu > $i > $o). 0.16/0.49 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 0.16/0.49 thf(func_def_4, type, mnot: ($i > $o) > $i > $o). 0.16/0.49 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.16/0.49 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o). 0.16/0.49 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.16/0.49 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 0.16/0.49 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 0.16/0.49 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 0.16/0.49 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o). 0.16/0.49 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.16/0.49 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o). 0.16/0.49 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 0.16/0.49 thf(func_def_15, type, mtrue: $i > $o). 0.16/0.49 thf(func_def_16, type, mfalse: $i > $o). 0.16/0.49 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.16/0.49 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 0.16/0.49 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o). 0.16/0.49 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o). 0.16/0.49 thf(func_def_21, type, mserial: ($i > $i > $o) > $o). 0.16/0.49 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o). 0.16/0.49 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o). 0.16/0.49 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o). 0.16/0.49 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o). 0.16/0.49 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o). 0.16/0.49 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o). 0.16/0.49 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o). 0.16/0.49 thf(func_def_29, type, mvalid: ($i > $o) > $o). 0.16/0.49 thf(func_def_30, type, minvalid: ($i > $o) > $o). 0.16/0.49 thf(func_def_31, type, msatisfiable: ($i > $o) > $o). 0.16/0.49 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o). 0.16/0.49 thf(func_def_33, type, a1: $i > $i > $o). 0.16/0.49 thf(func_def_34, type, a2: $i > $i > $o). 0.16/0.49 thf(func_def_35, type, a3: $i > $i > $o). 0.16/0.49 thf(func_def_36, type, jan: mu). 0.16/0.49 thf(func_def_37, type, piotr: mu). 0.16/0.49 thf(func_def_38, type, cola: mu). 0.16/0.49 thf(func_def_39, type, pepsi: mu). 0.16/0.49 thf(func_def_40, type, beer: mu). 0.16/0.49 thf(func_def_41, type, likes: mu > mu > $i > $o). 0.16/0.49 thf(func_def_42, type, very_much_likes: mu > mu > $i > $o). 0.16/0.49 thf(func_def_43, type, possibly_likes: mu > mu > $i > $o). 0.16/0.49 thf(func_def_44, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o). 0.16/0.49 thf(func_def_45, type, cond4s: ($i > $i > $o) > ($i > $i > $o) > $o). 0.16/0.49 thf(func_def_62, type, sK1: mu > $i > mu > $i). 0.16/0.49 thf(func_def_63, type, sK2: $i > $i). 0.16/0.49 thf(func_def_64, type, sK3: $i > $i). 0.16/0.49 thf(func_def_65, type, sK4: $i > $i). 0.16/0.49 thf(func_def_67, type, sK6: mu > $i > mu > $i). 0.16/0.49 thf(func_def_68, type, sK7: mu > $i > mu > $i). 0.16/0.49 thf(func_def_69, type, sK8: $i > $i). 0.16/0.49 thf(func_def_70, type, sK9: $i > $i). 0.16/0.49 thf(f827,plain,( 0.16/0.49 $false), 0.16/0.49 inference(trivial_inequality_removal,[],[f825])). 0.16/0.49 thf(f825,plain,( 0.16/0.49 ($false = $true)), 0.16/0.49 inference(superposition,[],[f405,f817])). 0.16/0.49 thf(f817,plain,( 0.16/0.49 ( ! [X0 : $i] : (($false = (a1 @ sK5 @ X0))) )), 0.16/0.49 inference(trivial_inequality_removal,[],[f814])). 0.16/0.49 thf(f814,plain,( 0.16/0.49 ( ! [X0 : $i] : (($false != $false) | ($false = (a1 @ sK5 @ X0))) )), 0.16/0.49 inference(equality_factoring,[],[f807])). 0.16/0.49 thf(f807,plain,( 0.16/0.49 ( ! [X0 : $i,X1 : $i] : (($false = (a1 @ sK5 @ X0)) | ($false = (a1 @ X1 @ X0))) )), 0.16/0.49 inference(trivial_inequality_removal,[],[f805])). 0.16/0.49 thf(f805,plain,( 0.16/0.49 ( ! [X0 : $i,X1 : $i] : (($false = (a1 @ sK5 @ X0)) | ($false = $true) | ($false = (a1 @ X1 @ X0))) )), 0.16/0.49 inference(superposition,[],[f642,f454])). 0.16/0.49 thf(f454,plain,( 0.16/0.49 ($false = (possibly_likes @ jan @ cola @ sK5))), 0.16/0.49 inference(sigma_clausification,[],[f453])). 0.16/0.49 thf(f453,plain,( 0.16/0.49 ((!! @ $i @ (possibly_likes @ jan @ cola)) = $false)), 0.16/0.49 inference(not_proxy_clausification,[],[f307])). 0.16/0.49 thf(f307,plain,( 0.16/0.49 ((~ (!! @ $i @ (possibly_likes @ jan @ cola))) = $true)), 0.16/0.49 inference(beta_eta_normalization,[],[f294])). 0.16/0.49 thf(f294,plain,( 0.16/0.49 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ (possibly_likes @ jan @ cola))) = $true)), 0.16/0.49 inference(definition_unfolding,[],[f264,f248])). 0.16/0.49 thf(f248,plain,( 0.16/0.49 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 0.16/0.49 inference(cnf_transformation,[],[f162])). 0.16/0.49 thf(f162,plain,( 0.16/0.49 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 0.16/0.49 inference(fool_elimination,[],[f161])). 0.16/0.49 thf(f161,plain,( 0.16/0.49 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))), 0.16/0.49 inference(rectify,[],[f28])). 0.16/0.49 thf(f28,axiom,( 0.16/0.49 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))), 0.16/0.49 file('/export/starexec/sandbox/tmp/tmp.822h8qVVmu/E---3.1_23981.p',mvalid)). 0.16/0.49 thf(f264,plain,( 0.16/0.49 ((~ (mvalid @ (possibly_likes @ jan @ cola))) = $true)), 0.16/0.49 inference(cnf_transformation,[],[f125])). 0.16/0.49 thf(f125,plain,( 0.16/0.49 ((~ (mvalid @ (possibly_likes @ jan @ cola))) = $true)), 0.16/0.49 inference(fool_elimination,[],[f124])). 0.16/0.49 thf(f124,plain,( 0.16/0.49 ~(mvalid @ (possibly_likes @ jan @ cola))), 0.16/0.49 inference(rectify,[],[f57])). 0.16/0.49 thf(f57,negated_conjecture,( 0.16/0.49 ~(mvalid @ (possibly_likes @ jan @ cola))), 0.16/0.49 inference(negated_conjecture,[],[f56])). 0.16/0.49 thf(f56,conjecture,( 0.16/0.49 (mvalid @ (possibly_likes @ jan @ cola))), 0.16/0.49 file('/export/starexec/sandbox/tmp/tmp.822h8qVVmu/E---3.1_23981.p',conj)). 0.16/0.49 thf(f642,plain,( 0.16/0.49 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (possibly_likes @ jan @ cola @ X2)) | ($false = (a1 @ X2 @ X0)) | ($false = (a1 @ X1 @ X0))) )), 0.16/0.49 inference(trivial_inequality_removal,[],[f627])). 0.16/0.49 thf(f627,plain,( 0.16/0.49 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (possibly_likes @ jan @ cola @ X2)) | ($false = $true) | ($false = (a1 @ X2 @ X0)) | ($false = (a1 @ X1 @ X0))) )), 0.16/0.49 inference(superposition,[],[f355,f452])). 0.16/0.49 thf(f452,plain,( 0.16/0.49 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (likes @ X2 @ X3 @ X4)) | ((possibly_likes @ X2 @ X3 @ X1) = $true) | ((a1 @ X1 @ X4) = $false)) )), 0.16/0.49 inference(not_proxy_clausification,[],[f451])). 0.16/0.49 thf(f451,plain,( 0.16/0.49 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (~ (a1 @ X1 @ X4))) | ($false = (likes @ X2 @ X3 @ X4)) | ((possibly_likes @ X2 @ X3 @ X1) = $true)) )), 0.16/0.49 inference(not_proxy_clausification,[],[f450])). 0.16/0.49 thf(f450,plain,( 0.16/0.49 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((possibly_likes @ X2 @ X3 @ X1) = $true) | ((~ (likes @ X2 @ X3 @ X4)) = $true) | ($true = (~ (a1 @ X1 @ X4)))) )), 0.16/0.49 inference(binary_proxy_clausification,[],[f449])). 0.16/0.49 thf(f449,plain,( 0.16/0.49 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((possibly_likes @ X2 @ X3 @ X1) = $true) | ($true = ((~ (likes @ X2 @ X3 @ X4)) | (~ (a1 @ X1 @ X4))))) )), 0.16/0.49 inference(beta_eta_normalization,[],[f448])). 0.16/0.49 thf(f448,plain,( 0.16/0.49 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((possibly_likes @ X2 @ X3 @ X1) = $true) | (((^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a1 @ X1 @ Y0)))) @ X4) = $true)) )), 0.16/0.49 inference(pi_clausification,[],[f447])). 0.16/0.49 thf(f447,plain,( 0.16/0.49 ( ! [X2 : mu,X3 : mu,X1 : $i] : (((possibly_likes @ X2 @ X3 @ X1) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a1 @ X1 @ Y0))))))) )), 0.16/0.49 inference(binary_proxy_clausification,[],[f446])). 0.16/0.49 thf(f446,plain,( 0.16/0.49 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((possibly_likes @ X2 @ X3 @ X1) | (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a1 @ X1 @ Y0)))))))) )), 0.16/0.49 inference(beta_eta_normalization,[],[f445])). 0.16/0.49 thf(f445,plain,( 0.16/0.49 ( ! [X2 : mu,X3 : mu,X1 : $i] : ((((^[Y0 : mu]: ((possibly_likes @ X2 @ Y0 @ X1) | (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ X2 @ Y0 @ Y1)) | (~ (a1 @ X1 @ Y1))))))) @ X3) = $true)) )), 0.16/0.49 inference(pi_clausification,[],[f444])). 0.16/0.49 thf(f444,plain,( 0.16/0.49 ( ! [X2 : mu,X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: ((possibly_likes @ X2 @ Y0 @ X1) | (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ X2 @ Y0 @ Y1)) | (~ (a1 @ X1 @ Y1)))))))) = $true)) )), 0.16/0.49 inference(beta_eta_normalization,[],[f443])). 0.16/0.49 thf(f443,plain,( 0.16/0.49 ( ! [X2 : mu,X1 : $i] : ((((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((possibly_likes @ Y0 @ Y1 @ X1) | (!! @ $i @ (^[Y2 : $i]: ((~ (likes @ Y0 @ Y1 @ Y2)) | (~ (a1 @ X1 @ Y2))))))))) @ X2) = $true)) )), 0.16/0.49 inference(pi_clausification,[],[f442])). 0.16/0.49 thf(f442,plain,( 0.16/0.49 ( ! [X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((possibly_likes @ Y0 @ Y1 @ X1) | (!! @ $i @ (^[Y2 : $i]: ((~ (likes @ Y0 @ Y1 @ Y2)) | (~ (a1 @ X1 @ Y2)))))))))))) )), 0.16/0.49 inference(beta_eta_normalization,[],[f441])). 0.16/0.49 thf(f441,plain,( 0.16/0.49 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((possibly_likes @ Y1 @ Y2 @ Y0) | (!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a1 @ Y0 @ Y3))))))))))) @ X1))) )), 0.16/0.49 inference(pi_clausification,[],[f309])). 0.16/0.49 thf(f309,plain,( 0.16/0.49 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((possibly_likes @ Y1 @ Y2 @ Y0) | (!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a1 @ Y0 @ Y3)))))))))))) = $true)), 0.16/0.49 inference(boolean_simplification,[],[f308])). 0.16/0.49 thf(f308,plain,( 0.16/0.49 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((possibly_likes @ Y1 @ Y2 @ Y0) | (~ (~ (!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a1 @ Y0 @ Y3)))))))))))))) = $true)), 0.16/0.49 inference(beta_eta_normalization,[],[f289])). 0.16/0.49 thf(f289,plain,( 0.16/0.49 ($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]: ((Y5 @ Y6) | (Y4 @ 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)))))) @ a1 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))), 0.16/0.49 inference(definition_unfolding,[],[f251,f248,f228,f228,f270,f274])). 0.16/0.49 thf(f274,plain,( 0.16/0.49 (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)))))))), 0.16/0.49 inference(definition_unfolding,[],[f235,f267,f221,f267])). 0.16/0.49 thf(f221,plain,( 0.16/0.49 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))), 0.16/0.49 inference(cnf_transformation,[],[f127])). 0.16/0.49 thf(f127,plain,( 0.16/0.49 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))), 0.16/0.49 inference(fool_elimination,[],[f126])). 0.16/0.49 thf(f126,plain,( 0.16/0.49 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))) = mbox)), 0.16/0.49 inference(rectify,[],[f16])). 0.16/0.49 thf(f16,axiom,( 0.16/0.49 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))) = mbox)), 0.16/0.49 file('/export/starexec/sandbox/tmp/tmp.822h8qVVmu/E---3.1_23981.p',mbox)). 0.16/0.49 thf(f267,plain,( 0.16/0.49 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 0.16/0.49 inference(cnf_transformation,[],[f156])). 0.16/0.49 thf(f156,plain,( 0.16/0.49 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 0.16/0.49 inference(fool_elimination,[],[f155])). 0.16/0.49 thf(f155,plain,( 0.16/0.49 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)), 0.16/0.49 inference(rectify,[],[f3])). 0.16/0.49 thf(f3,axiom,( 0.16/0.49 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)), 0.16/0.49 file('/export/starexec/sandbox/tmp/tmp.822h8qVVmu/E---3.1_23981.p',mnot)). 0.16/0.49 thf(f235,plain,( 0.16/0.49 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))), 0.16/0.49 inference(cnf_transformation,[],[f113])). 0.16/0.49 thf(f113,plain,( 0.16/0.49 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))), 0.16/0.49 inference(fool_elimination,[],[f112])). 0.16/0.49 thf(f112,plain,( 0.16/0.49 ((^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))) = mdia)), 0.16/0.49 inference(rectify,[],[f17])). 0.16/0.49 thf(f17,axiom,( 0.16/0.49 ((^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))) = mdia)), 0.16/0.49 file('/export/starexec/sandbox/tmp/tmp.822h8qVVmu/E---3.1_23981.p',mdia)). 0.16/0.49 thf(f270,plain,( 0.16/0.49 (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)))))), 0.16/0.49 inference(definition_unfolding,[],[f257,f232,f267])). 0.16/0.49 thf(f232,plain,( 0.16/0.49 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))), 0.16/0.49 inference(cnf_transformation,[],[f115])). 0.16/0.49 thf(f115,plain,( 0.16/0.49 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))), 0.16/0.49 inference(fool_elimination,[],[f114])). 0.16/0.49 thf(f114,plain,( 0.16/0.49 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)), 0.16/0.49 inference(rectify,[],[f4])). 0.16/0.49 thf(f4,axiom,( 0.16/0.49 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))) = mor)), 0.16/0.49 file('/export/starexec/sandbox/tmp/tmp.822h8qVVmu/E---3.1_23981.p',mor)). 0.16/0.49 thf(f257,plain,( 0.16/0.49 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 0.16/0.49 inference(cnf_transformation,[],[f83])). 0.16/0.49 thf(f83,plain,( 0.16/0.49 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 0.16/0.49 inference(fool_elimination,[],[f82])). 0.16/0.49 thf(f82,plain,( 0.16/0.49 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)), 0.16/0.49 inference(rectify,[],[f6])). 0.16/0.49 thf(f6,axiom,( 0.16/0.49 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)), 0.16/0.49 file('/export/starexec/sandbox/tmp/tmp.822h8qVVmu/E---3.1_23981.p',mimplies)). 0.16/0.49 thf(f228,plain,( 0.16/0.49 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))), 0.16/0.49 inference(cnf_transformation,[],[f143])). 0.16/0.49 thf(f143,plain,( 0.16/0.49 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))), 0.16/0.49 inference(fool_elimination,[],[f142])). 0.16/0.49 thf(f142,plain,( 0.16/0.49 (mforall_ind = (^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))))), 0.16/0.49 inference(rectify,[],[f10])). 0.16/0.49 thf(f10,axiom,( 0.16/0.49 (mforall_ind = (^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))))), 0.16/0.49 file('/export/starexec/sandbox/tmp/tmp.822h8qVVmu/E---3.1_23981.p',mforall_ind)). 0.16/0.49 thf(f251,plain,( 0.16/0.49 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a1 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))), 0.16/0.49 inference(cnf_transformation,[],[f117])). 0.16/0.49 thf(f117,plain,( 0.16/0.49 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a1 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))), 0.16/0.49 inference(fool_elimination,[],[f116])). 0.16/0.49 thf(f116,plain,( 0.16/0.49 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a1 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))), 0.16/0.49 inference(rectify,[],[f46])). 0.16/0.49 thf(f46,axiom,( 0.16/0.49 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a1 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))), 0.16/0.49 file('/export/starexec/sandbox/tmp/tmp.822h8qVVmu/E---3.1_23981.p',axiom_user_communication_3)). 0.16/0.49 thf(f355,plain,( 0.16/0.49 ( ! [X2 : $i,X1 : $i] : (((likes @ jan @ cola @ X2) = $true) | ($false = (a1 @ X1 @ X2))) )), 0.16/0.49 inference(not_proxy_clausification,[],[f354])). 0.16/0.49 thf(f354,plain,( 0.16/0.49 ( ! [X2 : $i,X1 : $i] : (((~ (a1 @ X1 @ X2)) = $true) | ((likes @ jan @ cola @ X2) = $true)) )), 0.16/0.49 inference(binary_proxy_clausification,[],[f353])). 0.16/0.49 thf(f353,plain,( 0.16/0.49 ( ! [X2 : $i,X1 : $i] : ((((likes @ jan @ cola @ X2) | (~ (a1 @ X1 @ X2))) = $true)) )), 0.16/0.49 inference(beta_eta_normalization,[],[f352])). 0.16/0.49 thf(f352,plain,( 0.16/0.49 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a1 @ X1 @ Y0)))) @ X2))) )), 0.16/0.49 inference(pi_clausification,[],[f351])). 0.16/0.49 thf(f351,plain,( 0.16/0.49 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a1 @ X1 @ Y0))))) = $true)) )), 0.16/0.49 inference(beta_eta_normalization,[],[f350])). 0.16/0.49 thf(f350,plain,( 0.16/0.49 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a1 @ Y0 @ Y1)))))) @ X1) = $true)) )), 0.16/0.49 inference(pi_clausification,[],[f324])). 0.16/0.49 thf(f324,plain,( 0.16/0.49 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a1 @ Y0 @ Y1))))))))), 0.16/0.49 inference(beta_eta_normalization,[],[f293])). 0.16/0.49 thf(f293,plain,( 0.16/0.49 ($true = ((^[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)))))))))) @ a1 @ (likes @ jan @ cola))))), 0.16/0.49 inference(definition_unfolding,[],[f262,f248,f221])). 0.16/0.49 thf(f262,plain,( 0.16/0.49 ((mvalid @ (mbox @ a1 @ (likes @ jan @ cola))) = $true)), 0.16/0.49 inference(cnf_transformation,[],[f93])). 0.16/0.49 thf(f93,plain,( 0.16/0.49 ((mvalid @ (mbox @ a1 @ (likes @ jan @ cola))) = $true)), 0.16/0.49 inference(fool_elimination,[],[f92])). 0.16/0.49 thf(f92,plain,( 0.16/0.49 (mvalid @ (mbox @ a1 @ (likes @ jan @ cola)))), 0.16/0.49 inference(rectify,[],[f59])). 0.16/0.49 thf(f59,axiom,( 0.16/0.49 (mvalid @ (mbox @ a1 @ (likes @ jan @ cola)))), 0.16/0.49 file('/export/starexec/sandbox/tmp/tmp.822h8qVVmu/E---3.1_23981.p',axiom_a1_1)). 0.16/0.49 thf(f405,plain,( 0.16/0.49 ( ! [X1 : $i] : (((a1 @ X1 @ (sK3 @ X1)) = $true)) )), 0.16/0.49 inference(not_proxy_clausification,[],[f402])). 0.16/0.49 thf(f402,plain,( 0.16/0.49 ( ! [X1 : $i] : (($false = (~ (a1 @ X1 @ (sK3 @ X1))))) )), 0.16/0.49 inference(binary_proxy_clausification,[],[f401])). 0.16/0.49 thf(f401,plain,( 0.16/0.49 ( ! [X1 : $i] : (($false = ((~ (likes @ piotr @ beer @ (sK3 @ X1))) | (~ (a1 @ X1 @ (sK3 @ X1)))))) )), 0.16/0.49 inference(beta_eta_normalization,[],[f400])). 0.16/0.49 thf(f400,plain,( 0.16/0.49 ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: ((~ (likes @ piotr @ beer @ Y0)) | (~ (a1 @ X1 @ Y0)))) @ (sK3 @ X1)))) )), 0.16/0.49 inference(sigma_clausification,[],[f399])). 0.16/0.49 thf(f399,plain,( 0.16/0.49 ( ! [X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ piotr @ beer @ Y0)) | (~ (a1 @ X1 @ Y0))))))) )), 0.16/0.49 inference(not_proxy_clausification,[],[f398])). 0.16/0.49 thf(f398,plain,( 0.16/0.49 ( ! [X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ piotr @ beer @ Y0)) | (~ (a1 @ X1 @ Y0)))))) = $true)) )), 0.16/0.49 inference(beta_eta_normalization,[],[f397])). 0.16/0.49 thf(f397,plain,( 0.16/0.49 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ piotr @ beer @ Y1)) | (~ (a1 @ Y0 @ Y1))))))) @ X1))) )), 0.16/0.49 inference(pi_clausification,[],[f316])). 0.16/0.49 thf(f316,plain,( 0.16/0.49 ((!! @ $i @ (^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ piotr @ beer @ Y1)) | (~ (a1 @ Y0 @ Y1)))))))) = $true)), 0.16/0.49 inference(beta_eta_normalization,[],[f286])). 0.16/0.49 thf(f286,plain,( 0.16/0.49 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[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)))))) @ a1 @ (likes @ piotr @ beer))))), 0.16/0.49 inference(definition_unfolding,[],[f245,f248,f274])). 0.16/0.49 thf(f245,plain,( 0.16/0.49 ((mvalid @ (mdia @ a1 @ (likes @ piotr @ beer))) = $true)), 0.16/0.49 inference(cnf_transformation,[],[f111])). 0.16/0.49 thf(f111,plain,( 0.16/0.49 ((mvalid @ (mdia @ a1 @ (likes @ piotr @ beer))) = $true)), 0.16/0.49 inference(fool_elimination,[],[f110])). 0.16/0.49 thf(f110,plain,( 0.16/0.49 (mvalid @ (mdia @ a1 @ (likes @ piotr @ beer)))), 0.16/0.49 inference(rectify,[],[f38])). 0.16/0.49 thf(f38,axiom,( 0.16/0.49 (mvalid @ (mdia @ a1 @ (likes @ piotr @ beer)))), 0.16/0.49 file('/export/starexec/sandbox/tmp/tmp.822h8qVVmu/E---3.1_23981.p',axiom_a3_3)). 0.16/0.49 % SZS output end Proof for E---3.1_23981 0.16/0.49 % (24244)------------------------------ 0.16/0.49 % (24244)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.49 % (24244)Termination reason: Refutation 0.16/0.49 0.16/0.49 % (24244)Memory used [KB]: 6140 0.16/0.49 % (24244)Time elapsed: 0.058 s 0.16/0.49 % (24244)Instructions burned: 99 (million) 0.16/0.49 % (24244)------------------------------ 0.16/0.49 % (24244)------------------------------ 0.16/0.49 % (24209)Success in time 0.157 s 0.16/0.49 EOF