0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.13 % Command : run_vampire %s %d THM 0.12/0.35 % Computer : n025.cluster.edu 0.12/0.35 % Model : x86_64 x86_64 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.35 % Memory : 8042.1875MB 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.35 % CPULimit : 1440 0.12/0.35 % WCLimit : 180 0.12/0.35 % DateTime : Thu Jul 4 09:16:09 EDT 2024 0.12/0.36 % CPUTime : 0.20/0.37 This is a THF_ problem 0.20/0.38 Running higher-order theorem proving 0.20/0.41 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.zJMT0DFjp2/E---3.1_18925.p -m 16384 -t 180 0.26/0.44 % (19037)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_18925 for (1799ds/2Mi) 0.26/0.44 % (19036)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_18925 for (1799ds/2Mi) 0.26/0.44 % (19038)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_18925 for (1799ds/275Mi) 0.26/0.44 % (19034)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_18925 for (1799ds/4Mi) 0.26/0.44 % (19035)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_18925 for (1799ds/27Mi) 0.26/0.44 % (19039)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_18925 for (1799ds/18Mi) 0.26/0.44 % (19033)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_18925 for (1799ds/183Mi) 0.26/0.45 % (19036)Instruction limit reached! 0.26/0.45 % (19036)------------------------------ 0.26/0.45 % (19036)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.45 % (19036)Termination reason: Unknown 0.26/0.45 % (19036)Termination phase: shuffling 0.26/0.45 0.26/0.45 % (19037)Instruction limit reached! 0.26/0.45 % (19037)------------------------------ 0.26/0.45 % (19037)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.45 % (19036)Memory used [KB]: 1279 0.26/0.45 % (19036)Time elapsed: 0.004 s 0.26/0.45 % (19036)Instructions burned: 2 (million) 0.26/0.45 % (19036)------------------------------ 0.26/0.45 % (19036)------------------------------ 0.26/0.45 % (19037)Termination reason: Unknown 0.26/0.45 % (19037)Termination phase: shuffling 0.26/0.45 0.26/0.45 % (19037)Memory used [KB]: 1279 0.26/0.45 % (19037)Time elapsed: 0.004 s 0.26/0.45 % (19037)Instructions burned: 2 (million) 0.26/0.45 % (19037)------------------------------ 0.26/0.45 % (19037)------------------------------ 0.26/0.45 % (19034)Instruction limit reached! 0.26/0.45 % (19034)------------------------------ 0.26/0.45 % (19034)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.45 % (19034)Termination reason: Unknown 0.26/0.45 % (19034)Termination phase: shuffling 0.26/0.45 0.26/0.45 % (19034)Memory used [KB]: 1279 0.26/0.45 % (19034)Time elapsed: 0.004 s 0.26/0.45 % (19034)Instructions burned: 4 (million) 0.26/0.45 % (19034)------------------------------ 0.26/0.45 % (19034)------------------------------ 0.26/0.45 % (19039)Instruction limit reached! 0.26/0.45 % (19039)------------------------------ 0.26/0.45 % (19039)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.45 % (19039)Termination reason: Unknown 0.26/0.45 % (19039)Termination phase: shuffling 0.26/0.45 0.26/0.45 % (19039)Memory used [KB]: 1535 0.26/0.45 % (19039)Time elapsed: 0.012 s 0.26/0.45 % (19039)Instructions burned: 19 (million) 0.26/0.45 % (19039)------------------------------ 0.26/0.45 % (19039)------------------------------ 0.26/0.46 % (19035)Instruction limit reached! 0.26/0.46 % (19035)------------------------------ 0.26/0.46 % (19035)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.46 % (19035)Termination reason: Unknown 0.26/0.46 % (19035)Termination phase: Property scanning 0.26/0.46 0.26/0.46 % (19035)Memory used [KB]: 1535 0.26/0.46 % (19035)Time elapsed: 0.016 s 0.26/0.46 % (19035)Instructions burned: 27 (million) 0.26/0.46 % (19035)------------------------------ 0.26/0.46 % (19035)------------------------------ 0.26/0.46 % (19041)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_18925 for (1799ds/37Mi) 0.26/0.46 % (19040)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_18925 for (1799ds/3Mi) 0.26/0.46 % (19042)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_18925 for (1799ds/15Mi) 0.26/0.46 % (19040)Instruction limit reached! 0.26/0.46 % (19040)------------------------------ 0.26/0.46 % (19040)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.46 % (19040)Termination reason: Unknown 0.26/0.46 % (19040)Termination phase: shuffling 0.26/0.46 0.26/0.46 % (19040)Memory used [KB]: 1279 0.26/0.46 % (19040)Time elapsed: 0.003 s 0.26/0.46 % (19040)Instructions burned: 3 (million) 0.26/0.46 % (19040)------------------------------ 0.26/0.46 % (19040)------------------------------ 0.26/0.46 % (19038)Refutation not found, incomplete strategy 0.26/0.46 % (19038)------------------------------ 0.26/0.46 % (19038)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.46 % (19038)Termination reason: Refutation not found, incomplete strategy 0.26/0.46 0.26/0.46 0.26/0.46 % (19038)Memory used [KB]: 6140 0.26/0.46 % (19038)Time elapsed: 0.021 s 0.26/0.46 % (19038)Instructions burned: 38 (million) 0.26/0.46 % (19038)------------------------------ 0.26/0.46 % (19038)------------------------------ 0.26/0.47 % (19042)Instruction limit reached! 0.26/0.47 % (19042)------------------------------ 0.26/0.47 % (19042)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.47 % (19042)Termination reason: Unknown 0.26/0.47 % (19042)Termination phase: shuffling 0.26/0.47 0.26/0.47 % (19042)Memory used [KB]: 1535 0.26/0.47 % (19042)Time elapsed: 0.010 s 0.26/0.47 % (19042)Instructions burned: 16 (million) 0.26/0.47 % (19042)------------------------------ 0.26/0.47 % (19042)------------------------------ 0.26/0.47 % (19043)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_18925 for (1799ds/3Mi) 0.26/0.47 % (19044)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_18925 for (1799ds/1041Mi) 0.26/0.47 % (19043)Instruction limit reached! 0.26/0.47 % (19043)------------------------------ 0.26/0.47 % (19043)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.47 % (19043)Termination reason: Unknown 0.26/0.47 % (19043)Termination phase: shuffling 0.26/0.47 0.26/0.47 % (19043)Memory used [KB]: 1279 0.26/0.47 % (19043)Time elapsed: 0.005 s 0.26/0.47 % (19043)Instructions burned: 4 (million) 0.26/0.47 % (19043)------------------------------ 0.26/0.47 % (19043)------------------------------ 0.26/0.48 % (19045)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_18925 for (1799ds/7Mi) 0.26/0.48 % (19041)Instruction limit reached! 0.26/0.48 % (19041)------------------------------ 0.26/0.48 % (19041)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.48 % (19041)Termination reason: Unknown 0.26/0.48 % (19041)Termination phase: Property scanning 0.26/0.48 0.26/0.48 % (19041)Memory used [KB]: 1663 0.26/0.48 % (19041)Time elapsed: 0.019 s 0.26/0.48 % (19041)Instructions burned: 39 (million) 0.26/0.48 % (19041)------------------------------ 0.26/0.48 % (19041)------------------------------ 0.26/0.48 % (19046)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_18925 for (1799ds/16Mi) 0.26/0.48 % (19045)Instruction limit reached! 0.26/0.48 % (19045)------------------------------ 0.26/0.48 % (19045)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.48 % (19045)Termination reason: Unknown 0.26/0.48 % (19045)Termination phase: shuffling 0.26/0.48 0.26/0.48 % (19045)Memory used [KB]: 1407 0.26/0.48 % (19045)Time elapsed: 0.006 s 0.26/0.48 % (19045)Instructions burned: 7 (million) 0.26/0.48 % (19045)------------------------------ 0.26/0.48 % (19045)------------------------------ 0.26/0.49 % (19046)Instruction limit reached! 0.26/0.49 % (19046)------------------------------ 0.26/0.49 % (19046)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.49 % (19046)Termination reason: Unknown 0.26/0.49 % (19046)Termination phase: shuffling 0.26/0.49 0.26/0.49 % (19046)Memory used [KB]: 1535 0.26/0.49 % (19046)Time elapsed: 0.010 s 0.26/0.49 % (19046)Instructions burned: 16 (million) 0.26/0.49 % (19046)------------------------------ 0.26/0.49 % (19046)------------------------------ 0.26/0.49 % (19048)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_18925 for (1799ds/3Mi) 0.26/0.49 % (19047)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_18925 for (1799ds/3Mi) 0.26/0.49 % (19048)Instruction limit reached! 0.26/0.49 % (19048)------------------------------ 0.26/0.49 % (19048)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.49 % (19047)Instruction limit reached! 0.26/0.49 % (19047)------------------------------ 0.26/0.49 % (19047)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.49 % (19047)Termination reason: Unknown 0.26/0.49 % (19047)Termination phase: shuffling 0.26/0.49 0.26/0.49 % (19047)Memory used [KB]: 1279 0.26/0.49 % (19047)Time elapsed: 0.004 s 0.26/0.49 % (19047)Instructions burned: 4 (million) 0.26/0.49 % (19047)------------------------------ 0.26/0.49 % (19047)------------------------------ 0.26/0.49 % (19048)Termination reason: Unknown 0.26/0.49 % (19048)Termination phase: shuffling 0.26/0.49 0.26/0.49 % (19048)Memory used [KB]: 1279 0.26/0.49 % (19048)Time elapsed: 0.004 s 0.26/0.49 % (19048)Instructions burned: 3 (million) 0.26/0.49 % (19048)------------------------------ 0.26/0.49 % (19048)------------------------------ 0.26/0.49 % (19049)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_18925 for (1799ds/7Mi) 0.26/0.50 % (19050)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_18925 for (1799ds/3Mi) 0.26/0.50 % (19049)Instruction limit reached! 0.26/0.50 % (19049)------------------------------ 0.26/0.50 % (19049)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.50 % (19049)Termination reason: Unknown 0.26/0.50 % (19049)Termination phase: shuffling 0.26/0.50 0.26/0.50 % (19049)Memory used [KB]: 1407 0.26/0.50 % (19049)Time elapsed: 0.006 s 0.26/0.50 % (19049)Instructions burned: 8 (million) 0.26/0.50 % (19049)------------------------------ 0.26/0.50 % (19049)------------------------------ 0.26/0.50 % (19050)Instruction limit reached! 0.26/0.50 % (19050)------------------------------ 0.26/0.50 % (19050)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.50 % (19050)Termination reason: Unknown 0.26/0.50 % (19050)Termination phase: shuffling 0.26/0.50 0.26/0.50 % (19050)Memory used [KB]: 1279 0.26/0.50 % (19050)Time elapsed: 0.004 s 0.26/0.50 % (19050)Instructions burned: 4 (million) 0.26/0.50 % (19050)------------------------------ 0.26/0.50 % (19050)------------------------------ 0.26/0.50 % (19051)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_18925 for (1799ds/4Mi) 0.26/0.50 % (19051)Instruction limit reached! 0.26/0.50 % (19051)------------------------------ 0.26/0.50 % (19051)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.50 % (19051)Termination reason: Unknown 0.26/0.50 % (19051)Termination phase: shuffling 0.26/0.50 0.26/0.50 % (19051)Memory used [KB]: 1279 0.26/0.50 % (19051)Time elapsed: 0.004 s 0.26/0.50 % (19051)Instructions burned: 4 (million) 0.26/0.50 % (19051)------------------------------ 0.26/0.50 % (19051)------------------------------ 0.26/0.51 % (19052)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_18925 for (1799ds/18Mi) 0.26/0.51 % (19053)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_18925 for (1799ds/710Mi) 0.26/0.51 % (19033)Instruction limit reached! 0.26/0.51 % (19033)------------------------------ 0.26/0.51 % (19033)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.51 % (19033)Termination reason: Unknown 0.26/0.51 % (19033)Termination phase: Function definition elimination 0.26/0.51 0.26/0.51 % (19033)Memory used [KB]: 1918 0.26/0.51 % (19033)Time elapsed: 0.069 s 0.26/0.51 % (19033)Instructions burned: 186 (million) 0.26/0.51 % (19033)------------------------------ 0.26/0.51 % (19033)------------------------------ 0.26/0.51 % (19054)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_18925 for (1799ds/6Mi) 0.26/0.51 % (19055)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_18925 for (1799ds/902Mi) 0.26/0.51 % (19052)Instruction limit reached! 0.26/0.51 % (19052)------------------------------ 0.26/0.51 % (19052)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.51 % (19052)Termination reason: Unknown 0.26/0.51 % (19052)Termination phase: shuffling 0.26/0.51 0.26/0.51 % (19052)Memory used [KB]: 1535 0.26/0.51 % (19052)Time elapsed: 0.011 s 0.26/0.51 % (19052)Instructions burned: 18 (million) 0.26/0.51 % (19052)------------------------------ 0.26/0.51 % (19052)------------------------------ 0.26/0.52 % (19054)Instruction limit reached! 0.26/0.52 % (19054)------------------------------ 0.26/0.52 % (19054)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.52 % (19054)Termination reason: Unknown 0.26/0.52 % (19054)Termination phase: shuffling 0.26/0.52 0.26/0.52 % (19054)Memory used [KB]: 1407 0.26/0.52 % (19054)Time elapsed: 0.005 s 0.26/0.52 % (19054)Instructions burned: 6 (million) 0.26/0.52 % (19054)------------------------------ 0.26/0.52 % (19054)------------------------------ 0.26/0.52 % (19056)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_18925 for (1799ds/21Mi) 0.26/0.52 % (19057)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_18925 for (1799ds/5Mi) 0.26/0.52 % (19057)Instruction limit reached! 0.26/0.52 % (19057)------------------------------ 0.26/0.52 % (19057)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.52 % (19057)Termination reason: Unknown 0.26/0.52 % (19057)Termination phase: shuffling 0.26/0.52 0.26/0.52 % (19057)Memory used [KB]: 1407 0.26/0.52 % (19057)Time elapsed: 0.003 s 0.26/0.52 % (19057)Instructions burned: 6 (million) 0.26/0.52 % (19057)------------------------------ 0.26/0.52 % (19057)------------------------------ 0.26/0.53 % (19058)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_18925 for (1799ds/6Mi) 0.26/0.53 % (19056)Instruction limit reached! 0.26/0.53 % (19056)------------------------------ 0.26/0.53 % (19056)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.53 % (19056)Termination reason: Unknown 0.26/0.53 % (19056)Termination phase: Property scanning 0.26/0.53 0.26/0.53 % (19056)Memory used [KB]: 1535 0.26/0.53 % (19056)Time elapsed: 0.012 s 0.26/0.53 % (19056)Instructions burned: 21 (million) 0.26/0.53 % (19056)------------------------------ 0.26/0.53 % (19056)------------------------------ 0.26/0.53 % (19058)Instruction limit reached! 0.26/0.53 % (19058)------------------------------ 0.26/0.53 % (19058)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.53 % (19058)Termination reason: Unknown 0.26/0.53 % (19058)Termination phase: shuffling 0.26/0.53 0.26/0.53 % (19058)Memory used [KB]: 1407 0.26/0.53 % (19058)Time elapsed: 0.006 s 0.26/0.53 % (19058)Instructions burned: 7 (million) 0.26/0.53 % (19058)------------------------------ 0.26/0.53 % (19058)------------------------------ 0.26/0.53 % (19059)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_18925 for (1799ds/377Mi) 0.26/0.54 % (19060)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_18925 for (1799ds/779Mi) 0.26/0.54 % (19055)Refutation not found, incomplete strategy 0.26/0.54 % (19055)------------------------------ 0.26/0.54 % (19055)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.54 % (19055)Termination reason: Refutation not found, incomplete strategy 0.26/0.54 0.26/0.54 0.26/0.54 % (19055)Memory used [KB]: 6396 0.26/0.54 % (19055)Time elapsed: 0.029 s 0.26/0.54 % (19055)Instructions burned: 71 (million) 0.26/0.54 % (19055)------------------------------ 0.26/0.54 % (19055)------------------------------ 0.26/0.55 % (19061)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_18925 for (1798ds/19Mi) 1.02/0.55 % (19063)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_18925 for (1798ds/17Mi) 1.02/0.55 % (19062)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_18925 for (1798ds/879Mi) 1.02/0.56 % (19063)Instruction limit reached! 1.02/0.56 % (19063)------------------------------ 1.02/0.56 % (19063)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.02/0.56 % (19063)Termination reason: Unknown 1.02/0.56 % (19063)Termination phase: shuffling 1.02/0.56 1.02/0.56 % (19063)Memory used [KB]: 1535 1.02/0.56 % (19063)Time elapsed: 0.008 s 1.02/0.56 % (19063)Instructions burned: 19 (million) 1.02/0.56 % (19063)------------------------------ 1.02/0.56 % (19063)------------------------------ 1.02/0.56 % (19061)Instruction limit reached! 1.02/0.56 % (19061)------------------------------ 1.02/0.56 % (19061)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.02/0.56 % (19061)Termination reason: Unknown 1.02/0.56 % (19061)Termination phase: shuffling 1.02/0.56 1.02/0.56 % (19061)Memory used [KB]: 1535 1.02/0.56 % (19061)Time elapsed: 0.011 s 1.02/0.56 % (19061)Instructions burned: 19 (million) 1.02/0.56 % (19061)------------------------------ 1.02/0.56 % (19061)------------------------------ 1.02/0.57 % (19064)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_18925 for (1798ds/3Mi) 1.02/0.57 % (19064)Instruction limit reached! 1.02/0.57 % (19064)------------------------------ 1.02/0.57 % (19064)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.02/0.57 % (19064)Termination reason: Unknown 1.02/0.57 % (19064)Termination phase: shuffling 1.02/0.57 1.02/0.57 % (19064)Memory used [KB]: 1407 1.02/0.57 % (19064)Time elapsed: 0.004 s 1.02/0.57 % (19064)Instructions burned: 6 (million) 1.02/0.57 % (19064)------------------------------ 1.02/0.57 % (19064)------------------------------ 1.13/0.58 % (19065)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_18925 for (1798ds/30Mi) 1.13/0.58 % (19066)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_18925 for (1798ds/127Mi) 1.13/0.59 % (19065)Instruction limit reached! 1.13/0.59 % (19065)------------------------------ 1.13/0.59 % (19065)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.13/0.59 % (19065)Termination reason: Unknown 1.13/0.59 % (19065)Termination phase: Property scanning 1.13/0.59 1.13/0.59 % (19065)Memory used [KB]: 1535 1.13/0.59 % (19065)Time elapsed: 0.017 s 1.13/0.59 % (19065)Instructions burned: 31 (million) 1.13/0.59 % (19065)------------------------------ 1.13/0.59 % (19065)------------------------------ 1.13/0.61 % (19066)Instruction limit reached! 1.13/0.61 % (19066)------------------------------ 1.13/0.61 % (19066)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.13/0.61 % (19066)Termination reason: Unknown 1.13/0.61 % (19066)Termination phase: Function definition elimination 1.13/0.61 1.13/0.61 % (19066)Memory used [KB]: 1791 1.13/0.61 % (19066)Time elapsed: 0.032 s 1.13/0.61 % (19066)Instructions burned: 131 (million) 1.13/0.61 % (19066)------------------------------ 1.13/0.61 % (19066)------------------------------ 1.13/0.61 % (19067)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_18925 for (1798ds/100Mi) 1.13/0.62 % (19068)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_18925 for (1798ds/3Mi) 1.13/0.62 % (19068)Instruction limit reached! 1.13/0.62 % (19068)------------------------------ 1.13/0.62 % (19068)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.13/0.62 % (19068)Termination reason: Unknown 1.13/0.62 % (19068)Termination phase: shuffling 1.13/0.62 1.13/0.62 % (19068)Memory used [KB]: 1279 1.13/0.62 % (19068)Time elapsed: 0.004 s 1.13/0.62 % (19068)Instructions burned: 3 (million) 1.13/0.62 % (19068)------------------------------ 1.13/0.62 % (19068)------------------------------ 1.13/0.63 % (19062)First to succeed. 1.49/0.64 % (19069)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_18925 for (1797ds/20Mi) 1.49/0.64 % (19062)Refutation found. Thanks to Tanya! 1.49/0.64 % SZS status Theorem for E---3.1_18925 1.49/0.64 % SZS output start Proof for E---3.1_18925 1.49/0.64 thf(func_def_0, type, is_of: $i > ($i > $o) > $o). 1.49/0.64 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o). 1.49/0.64 thf(func_def_3, type, eps: ($i > $o) > $i). 1.49/0.64 thf(func_def_4, type, in: $i > $i > $o). 1.49/0.64 thf(func_def_5, type, d_Subq: $i > $i > $o). 1.49/0.64 thf(func_def_7, type, union: $i > $i). 1.49/0.64 thf(func_def_8, type, power: $i > $i). 1.49/0.64 thf(func_def_9, type, repl: $i > ($i > $i) > $i). 1.49/0.64 thf(func_def_10, type, d_Union_closed: $i > $o). 1.49/0.64 thf(func_def_11, type, d_Power_closed: $i > $o). 1.49/0.64 thf(func_def_12, type, d_Repl_closed: $i > $o). 1.49/0.64 thf(func_def_13, type, d_ZF_closed: $i > $o). 1.49/0.64 thf(func_def_14, type, univof: $i > $i). 1.49/0.64 thf(func_def_15, type, if: $o > $i > $i > $i). 1.49/0.64 thf(func_def_16, type, nIn: $i > $i > $o). 1.49/0.64 thf(func_def_17, type, d_UPair: $i > $i > $i). 1.49/0.64 thf(func_def_18, type, d_Sing: $i > $i). 1.49/0.64 thf(func_def_19, type, binunion: $i > $i > $i). 1.49/0.64 thf(func_def_20, type, famunion: $i > ($i > $i) > $i). 1.49/0.64 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i). 1.49/0.64 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i). 1.49/0.64 thf(func_def_23, type, setminus: $i > $i > $i). 1.49/0.64 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o). 1.49/0.64 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i). 1.49/0.64 thf(func_def_26, type, ordsucc: $i > $i). 1.49/0.64 thf(func_def_27, type, nat_p: $i > $o). 1.49/0.64 thf(func_def_29, type, d_Inj1: $i > $i). 1.49/0.64 thf(func_def_30, type, d_Inj0: $i > $i). 1.49/0.64 thf(func_def_31, type, d_Unj: $i > $i). 1.49/0.64 thf(func_def_32, type, pair: $i > $i > $i). 1.49/0.64 thf(func_def_33, type, proj0: $i > $i). 1.49/0.64 thf(func_def_34, type, proj1: $i > $i). 1.49/0.64 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i). 1.49/0.64 thf(func_def_36, type, setprod: $i > $i > $i). 1.49/0.64 thf(func_def_37, type, ap: $i > $i > $i). 1.49/0.64 thf(func_def_38, type, pair_p: $i > $o). 1.49/0.64 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i). 1.49/0.64 thf(func_def_40, type, imp: $o > $o > $o). 1.49/0.64 thf(func_def_41, type, d_not: $o > $o). 1.49/0.64 thf(func_def_42, type, wel: $o > $o). 1.49/0.64 thf(func_def_44, type, l_ec: $o > $o > $o). 1.49/0.64 thf(func_def_45, type, d_and: $o > $o > $o). 1.49/0.64 thf(func_def_46, type, l_or: $o > $o > $o). 1.49/0.64 thf(func_def_47, type, orec: $o > $o > $o). 1.49/0.64 thf(func_def_48, type, l_iff: $o > $o > $o). 1.49/0.64 thf(func_def_49, type, all: $i > ($i > $o) > $o). 1.49/0.64 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o). 1.49/0.64 thf(func_def_51, type, l_some: $i > ($i > $o) > $o). 1.49/0.64 thf(func_def_52, type, or3: $o > $o > $o > $o). 1.49/0.64 thf(func_def_53, type, and3: $o > $o > $o > $o). 1.49/0.64 thf(func_def_54, type, ec3: $o > $o > $o > $o). 1.49/0.64 thf(func_def_55, type, orec3: $o > $o > $o > $o). 1.49/0.64 thf(func_def_56, type, e_is: $i > $i > $i > $o). 1.49/0.64 thf(func_def_57, type, amone: $i > ($i > $o) > $o). 1.49/0.64 thf(func_def_58, type, one: $i > ($i > $o) > $o). 1.49/0.64 thf(func_def_59, type, ind: $i > ($i > $o) > $i). 1.49/0.64 thf(func_def_60, type, injective: $i > $i > $i > $o). 1.49/0.64 thf(func_def_61, type, image: $i > $i > $i > $i > $o). 1.49/0.64 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i). 1.49/0.64 thf(func_def_63, type, soft: $i > $i > $i > $i > $i). 1.49/0.64 thf(func_def_64, type, inverse: $i > $i > $i > $i). 1.49/0.64 thf(func_def_65, type, surjective: $i > $i > $i > $o). 1.49/0.64 thf(func_def_66, type, bijective: $i > $i > $i > $o). 1.49/0.64 thf(func_def_67, type, invf: $i > $i > $i > $i). 1.49/0.64 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i). 1.49/0.64 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i). 1.49/0.64 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i). 1.49/0.64 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i). 1.49/0.64 thf(func_def_72, type, first: $i > $i > $i > $i). 1.49/0.64 thf(func_def_73, type, second: $i > $i > $i > $i). 1.49/0.64 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o). 1.49/0.64 thf(func_def_75, type, ite: $o > $i > $i > $i > $i). 1.49/0.64 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i). 1.49/0.64 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i). 1.49/0.64 thf(func_def_78, type, wissel: $i > $i > $i > $i). 1.49/0.64 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i). 1.49/0.64 thf(func_def_80, type, r_ec: $o > $o > $o). 1.49/0.64 thf(func_def_81, type, esti: $i > $i > $i > $o). 1.49/0.64 thf(func_def_82, type, empty: $i > $i > $o). 1.49/0.64 thf(func_def_83, type, nonempty: $i > $i > $o). 1.49/0.64 thf(func_def_84, type, incl: $i > $i > $i > $o). 1.49/0.64 thf(func_def_85, type, st_disj: $i > $i > $i > $o). 1.49/0.64 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o). 1.49/0.64 thf(func_def_87, type, unmore: $i > $i > $i > $i). 1.49/0.64 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i). 1.49/0.64 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o). 1.49/0.64 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o). 1.49/0.64 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i). 1.49/0.64 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i). 1.49/0.64 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i). 1.49/0.64 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i). 1.49/0.64 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o). 1.49/0.64 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o). 1.49/0.64 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o). 1.49/0.64 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i). 1.49/0.64 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o). 1.49/0.64 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i). 1.49/0.64 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i). 1.49/0.64 thf(func_def_103, type, n_is: $i > $i > $o). 1.49/0.64 thf(func_def_104, type, nis: $i > $i > $o). 1.49/0.64 thf(func_def_105, type, n_in: $i > $i > $o). 1.49/0.64 thf(func_def_106, type, n_some: ($i > $o) > $o). 1.49/0.64 thf(func_def_107, type, n_all: ($i > $o) > $o). 1.49/0.64 thf(func_def_108, type, n_one: ($i > $o) > $o). 1.49/0.64 thf(func_def_110, type, cond1: $i > $o). 1.49/0.64 thf(func_def_111, type, cond2: $i > $o). 1.49/0.64 thf(func_def_112, type, i1_s: ($i > $o) > $i). 1.49/0.64 thf(func_def_113, type, d_22_prop1: $i > $o). 1.49/0.64 thf(func_def_114, type, d_23_prop1: $i > $o). 1.49/0.64 thf(func_def_115, type, d_24_prop1: $i > $o). 1.49/0.64 thf(func_def_116, type, d_24_prop2: $i > $i > $o). 1.49/0.64 thf(func_def_117, type, prop3: $i > $i > $i > $o). 1.49/0.64 thf(func_def_118, type, prop4: $i > $o). 1.49/0.64 thf(func_def_119, type, d_24_g: $i > $i). 1.49/0.64 thf(func_def_120, type, plus: $i > $i). 1.49/0.64 thf(func_def_121, type, n_pl: $i > $i > $i). 1.49/0.64 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o). 1.49/0.64 thf(func_def_123, type, d_26_prop1: $i > $i > $o). 1.49/0.64 thf(func_def_124, type, d_27_prop1: $i > $i > $o). 1.49/0.64 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o). 1.49/0.64 thf(func_def_126, type, diffprop: $i > $i > $i > $o). 1.49/0.64 thf(func_def_127, type, d_29_ii: $i > $i > $o). 1.49/0.64 thf(func_def_128, type, iii: $i > $i > $o). 1.49/0.64 thf(func_def_129, type, d_29_prop1: $i > $i > $o). 1.49/0.64 thf(func_def_130, type, moreis: $i > $i > $o). 1.49/0.64 thf(func_def_131, type, lessis: $i > $i > $o). 1.49/0.64 thf(func_def_150, type, sK0: ($i > $o) > $i). 1.49/0.64 thf(func_def_152, type, sK2: $i > $i > $i > $i > $i). 1.49/0.64 thf(func_def_155, type, ph5: !>[X0: $tType]:(X0)). 1.49/0.64 thf(f1361,plain,( 1.49/0.64 $false), 1.49/0.64 inference(trivial_inequality_removal,[],[f1360])). 1.49/0.64 thf(f1360,plain,( 1.49/0.64 ($true = $false)), 1.49/0.64 inference(forward_demodulation,[],[f1359,f914])). 1.49/0.64 thf(f914,plain,( 1.49/0.64 ((n_is @ sK3 @ sK4) = $false)), 1.49/0.64 inference(binary_proxy_clausification,[],[f913])). 1.49/0.64 thf(f913,plain,( 1.49/0.64 ($false = ((~ (iii @ sK3 @ sK4)) => (n_is @ sK3 @ sK4)))), 1.49/0.64 inference(not_proxy_clausification,[],[f912])). 1.49/0.64 thf(f912,plain,( 1.49/0.64 ((~ ((~ (iii @ sK3 @ sK4)) => (n_is @ sK3 @ sK4))) = $true)), 1.49/0.64 inference(binary_proxy_clausification,[],[f909])). 1.49/0.64 thf(f909,plain,( 1.49/0.64 (((~ ((~ (iii @ sK3 @ sK4)) => (n_is @ sK3 @ sK4))) => (n_some @ (diffprop @ sK3 @ sK4))) = $false)), 1.49/0.64 inference(binary_proxy_clausification,[],[f908])). 1.49/0.64 thf(f908,plain,( 1.49/0.64 (((is_of @ sK4 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => ((~ ((~ (iii @ sK3 @ sK4)) => (n_is @ sK3 @ sK4))) => (n_some @ (diffprop @ sK3 @ sK4)))) = $false)), 1.49/0.64 inference(beta_eta_normalization,[],[f907])). 1.49/0.64 thf(f907,plain,( 1.49/0.64 ($false = ((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ ((~ (iii @ sK3 @ Y0)) => (n_is @ sK3 @ Y0))) => (n_some @ (diffprop @ sK3 @ Y0))))) @ sK4))), 1.49/0.64 inference(sigma_clausification,[],[f905])). 1.49/0.64 thf(f905,plain,( 1.49/0.64 ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ ((~ (iii @ sK3 @ Y0)) => (n_is @ sK3 @ Y0))) => (n_some @ (diffprop @ sK3 @ Y0)))))) = $false)), 1.49/0.64 inference(binary_proxy_clausification,[],[f904])). 1.49/0.64 thf(f904,plain,( 1.49/0.64 (((is_of @ sK3 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ ((~ (iii @ sK3 @ Y0)) => (n_is @ sK3 @ Y0))) => (n_some @ (diffprop @ sK3 @ Y0))))))) = $false)), 1.49/0.64 inference(beta_eta_normalization,[],[f903])). 1.49/0.64 thf(f903,plain,( 1.49/0.64 (((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ ((~ (iii @ Y0 @ Y1)) => (n_is @ Y0 @ Y1))) => (n_some @ (diffprop @ Y0 @ Y1)))))))) @ sK3) = $false)), 1.49/0.64 inference(sigma_clausification,[],[f902])). 1.49/0.64 thf(f902,plain,( 1.49/0.64 ($true != (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ ((~ (iii @ Y0 @ Y1)) => (n_is @ Y0 @ Y1))) => (n_some @ (diffprop @ Y0 @ Y1))))))))))), 1.49/0.64 inference(boolean_simplification,[],[f901])). 1.49/0.64 thf(f901,plain,( 1.49/0.64 ($true != (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ (((iii @ Y0 @ Y1) => $false) => (n_is @ Y0 @ Y1))) => (n_some @ (diffprop @ Y0 @ Y1))))))))))), 1.49/0.64 inference(boolean_simplification,[],[f900])). 1.49/0.64 thf(f900,plain,( 1.49/0.64 ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => (((((iii @ Y0 @ Y1) => $false) => (n_is @ Y0 @ Y1)) => $false) => (n_some @ (diffprop @ Y0 @ Y1))))))))) != $true)), 1.49/0.64 inference(beta_eta_normalization,[],[f642])). 1.49/0.64 thf(f642,plain,( 1.49/0.64 ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((is_of @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ Y2 @ $false)) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ Y5 @ $false)) @ Y4))) @ (iii @ Y2 @ Y3) @ (n_is @ Y2 @ Y3))))) @ Y0 @ Y1)) => ((^[Y2 : $i]: ((^[Y3 : $i]: (n_some @ (diffprop @ Y2 @ Y3))))) @ Y0 @ Y1)))))))), 1.49/0.64 inference(definition_unfolding,[],[f572,f588,f588,f624,f627,f606])). 1.49/0.64 thf(f606,plain,( 1.49/0.64 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))), 1.49/0.64 inference(cnf_transformation,[],[f554])). 1.49/0.64 thf(f554,plain,( 1.49/0.64 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))), 1.49/0.64 inference(fool_elimination,[],[f186])). 1.49/0.64 thf(f186,axiom,( 1.49/0.64 (d_29_ii = (^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X0 @ X1))))), 1.49/0.64 file('/export/starexec/sandbox2/tmp/tmp.zJMT0DFjp2/E---3.1_18925.p',def_d_29_ii)). 1.49/0.64 thf(f627,plain,( 1.49/0.64 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ ((^[Y3 : $o]: ((^[Y4 : $o]: ((^[Y5 : $o]: (Y4 => Y5)))) @ Y3 @ $false)) @ Y2))) @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))), 1.49/0.64 inference(definition_unfolding,[],[f593,f625])). 1.49/0.64 thf(f625,plain,( 1.49/0.64 (l_or = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (Y1 => Y2)))) @ ((^[Y1 : $o]: ((^[Y2 : $o]: ((^[Y3 : $o]: (Y2 => Y3)))) @ Y1 @ $false)) @ Y0))))), 1.49/0.64 inference(definition_unfolding,[],[f571,f604,f624])). 1.49/0.64 thf(f604,plain,( 1.49/0.64 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))), 1.49/0.64 inference(cnf_transformation,[],[f469])). 1.49/0.64 thf(f469,plain,( 1.49/0.64 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))), 1.49/0.64 inference(fool_elimination,[],[f468])). 1.49/0.64 thf(f468,plain,( 1.49/0.64 (imp = (^[X0 : $o, X1 : $o] : (X0 => X1)))), 1.49/0.64 inference(rectify,[],[f33])). 1.49/0.64 thf(f33,axiom,( 1.49/0.64 (imp = (^[X0 : $o, X1 : $o] : (X0 => X1)))), 1.49/0.64 file('/export/starexec/sandbox2/tmp/tmp.zJMT0DFjp2/E---3.1_18925.p',def_imp)). 1.49/0.64 thf(f571,plain,( 1.49/0.64 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))), 1.49/0.64 inference(cnf_transformation,[],[f285])). 1.49/0.64 thf(f285,plain,( 1.49/0.64 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))), 1.49/0.64 inference(fool_elimination,[],[f39])). 1.49/0.64 thf(f39,axiom,( 1.49/0.64 (l_or = (^[X0 : $o] : (imp @ (d_not @ X0))))), 1.49/0.64 file('/export/starexec/sandbox2/tmp/tmp.zJMT0DFjp2/E---3.1_18925.p',def_l_or)). 1.49/0.64 thf(f593,plain,( 1.49/0.64 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))), 1.49/0.64 inference(cnf_transformation,[],[f230])). 1.49/0.64 thf(f230,plain,( 1.49/0.64 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))), 1.49/0.64 inference(fool_elimination,[],[f190])). 1.49/0.64 thf(f190,axiom,( 1.49/0.64 (lessis = (^[X0 : $i, X1 : $i] : (l_or @ (iii @ X0 @ X1) @ (n_is @ X0 @ X1))))), 1.49/0.64 file('/export/starexec/sandbox2/tmp/tmp.zJMT0DFjp2/E---3.1_18925.p',def_lessis)). 1.49/0.64 thf(f624,plain,( 1.49/0.64 (d_not = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (Y1 => Y2)))) @ Y0 @ $false)))), 1.49/0.64 inference(definition_unfolding,[],[f570,f604])). 1.49/0.64 thf(f570,plain,( 1.49/0.64 (d_not = (^[Y0 : $o]: (imp @ Y0 @ $false)))), 1.49/0.64 inference(cnf_transformation,[],[f488])). 1.49/0.64 thf(f488,plain,( 1.49/0.64 (d_not = (^[Y0 : $o]: (imp @ Y0 @ $false)))), 1.49/0.64 inference(fool_elimination,[],[f34])). 1.49/0.64 thf(f34,axiom,( 1.49/0.64 (d_not = (^[X0 : $o] : (imp @ X0 @ $false)))), 1.49/0.64 file('/export/starexec/sandbox2/tmp/tmp.zJMT0DFjp2/E---3.1_18925.p',def_d_not)). 1.49/0.64 thf(f588,plain,( 1.49/0.64 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 1.49/0.64 inference(cnf_transformation,[],[f511])). 1.49/0.64 thf(f511,plain,( 1.49/0.64 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 1.49/0.64 inference(fool_elimination,[],[f510])). 1.49/0.64 thf(f510,plain,( 1.49/0.64 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)), 1.49/0.64 inference(rectify,[],[f2])). 1.49/0.64 thf(f2,axiom,( 1.49/0.64 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)), 1.49/0.64 file('/export/starexec/sandbox2/tmp/tmp.zJMT0DFjp2/E---3.1_18925.p',def_all_of)). 1.49/0.64 thf(f572,plain,( 1.49/0.64 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (lessis @ Y0 @ Y1)) => (d_29_ii @ Y0 @ Y1)))))) != $true)), 1.49/0.64 inference(cnf_transformation,[],[f561])). 1.49/0.64 thf(f561,plain,( 1.49/0.64 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (lessis @ Y0 @ Y1)) => (d_29_ii @ Y0 @ Y1)))))) != $true)), 1.49/0.64 inference(flattening,[],[f422])). 1.49/0.64 thf(f422,plain,( 1.49/0.64 ~((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (lessis @ Y0 @ Y1)) => (d_29_ii @ Y0 @ Y1)))))) = $true)), 1.49/0.64 inference(fool_elimination,[],[f421])). 1.49/0.64 thf(f421,plain,( 1.49/0.64 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((d_not @ (lessis @ X1 @ X3)) => (d_29_ii @ X1 @ X3))))))), 1.49/0.64 inference(rectify,[],[f201])). 1.49/0.64 thf(f201,negated_conjecture,( 1.49/0.64 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_not @ (lessis @ X0 @ X1)) => (d_29_ii @ X0 @ X1))))))), 1.49/0.64 inference(negated_conjecture,[],[f200])). 1.49/0.64 thf(f200,conjecture,( 1.49/0.64 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_not @ (lessis @ X0 @ X1)) => (d_29_ii @ X0 @ X1))))))), 1.49/0.64 file('/export/starexec/sandbox2/tmp/tmp.zJMT0DFjp2/E---3.1_18925.p',satz10k)). 1.49/0.64 thf(f1359,plain,( 1.49/0.64 ((n_is @ sK3 @ sK4) = $true)), 1.49/0.64 inference(trivial_inequality_removal,[],[f1358])). 1.49/0.64 thf(f1358,plain,( 1.49/0.64 ($true = $false) | ((n_is @ sK3 @ sK4) = $true)), 1.49/0.64 inference(forward_demodulation,[],[f1357,f916])). 1.49/0.64 thf(f916,plain,( 1.49/0.64 ((iii @ sK3 @ sK4) = $false)), 1.49/0.64 inference(not_proxy_clausification,[],[f915])). 1.49/0.64 thf(f915,plain,( 1.49/0.64 ($true = (~ (iii @ sK3 @ sK4)))), 1.49/0.64 inference(binary_proxy_clausification,[],[f913])). 1.49/0.64 thf(f1357,plain,( 1.49/0.64 ((iii @ sK3 @ sK4) = $true) | ((n_is @ sK3 @ sK4) = $true)), 1.49/0.64 inference(trivial_inequality_removal,[],[f1356])). 1.49/0.64 thf(f1356,plain,( 1.49/0.64 ((iii @ sK3 @ sK4) = $true) | ((n_is @ sK3 @ sK4) = $true) | ($true = $false)), 1.49/0.64 inference(forward_demodulation,[],[f1355,f1142])). 1.49/0.64 thf(f1142,plain,( 1.49/0.64 ((n_is @ sK4 @ sK3) = $true)), 1.49/0.64 inference(trivial_inequality_removal,[],[f1141])). 1.49/0.64 thf(f1141,plain,( 1.49/0.64 ((n_is @ sK4 @ sK3) = $true) | ($true = $false)), 1.49/0.64 inference(forward_demodulation,[],[f1140,f1072])). 1.49/0.64 thf(f1072,plain,( 1.49/0.64 ((iii @ sK4 @ sK3) = $false)), 1.49/0.64 inference(trivial_inequality_removal,[],[f1071])). 1.49/0.64 thf(f1071,plain,( 1.49/0.64 ((iii @ sK4 @ sK3) = $false) | ($true = $false)), 1.49/0.64 inference(forward_demodulation,[],[f1070,f911])). 1.49/0.64 thf(f911,plain,( 1.49/0.64 ((n_some @ (diffprop @ sK3 @ sK4)) = $false)), 1.49/0.64 inference(binary_proxy_clausification,[],[f909])). 1.49/0.64 thf(f1070,plain,( 1.49/0.64 ((iii @ sK4 @ sK3) = $false) | ($true = (n_some @ (diffprop @ sK3 @ sK4)))), 1.49/0.64 inference(trivial_inequality_removal,[],[f1064])). 1.49/0.64 thf(f1064,plain,( 1.49/0.64 ((iii @ sK4 @ sK3) = $false) | ($true = $false) | ($true = (n_some @ (diffprop @ sK3 @ sK4)))), 1.49/0.64 inference(superposition,[],[f999,f910])). 1.49/0.64 thf(f910,plain,( 1.49/0.64 ($true = (is_of @ sK4 @ (^[Y0 : $i]: (in @ Y0 @ nat))))), 1.49/0.64 inference(binary_proxy_clausification,[],[f908])). 1.49/0.64 thf(f999,plain,( 1.49/0.64 ( ! [X0 : $i] : (((is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = (n_some @ (diffprop @ sK3 @ X0))) | ((iii @ X0 @ sK3) = $false)) )), 1.49/0.64 inference(trivial_inequality_removal,[],[f995])). 1.49/0.64 thf(f995,plain,( 1.49/0.64 ( ! [X0 : $i] : (($true = (n_some @ (diffprop @ sK3 @ X0))) | ((iii @ X0 @ sK3) = $false) | ((is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = $false)) )), 1.49/0.64 inference(superposition,[],[f860,f906])). 1.49/0.64 thf(f906,plain,( 1.49/0.64 ($true = (is_of @ sK3 @ (^[Y0 : $i]: (in @ Y0 @ nat))))), 1.49/0.64 inference(binary_proxy_clausification,[],[f904])). 1.49/0.64 thf(f860,plain,( 1.49/0.64 ( ! [X2 : $i,X1 : $i] : (($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat)))) | ((n_some @ (diffprop @ X2 @ X1)) = $true) | ((iii @ X1 @ X2) = $false) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )), 1.49/0.64 inference(binary_proxy_clausification,[],[f859])). 1.49/0.64 thf(f859,plain,( 1.49/0.64 ( ! [X2 : $i,X1 : $i] : ((((iii @ X1 @ X2) => (n_some @ (diffprop @ X2 @ X1))) = $true) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))))) )), 1.49/0.64 inference(binary_proxy_clausification,[],[f858])). 1.49/0.64 thf(f858,plain,( 1.49/0.64 ( ! [X2 : $i,X1 : $i] : (((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | (((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => ((iii @ X1 @ X2) => (n_some @ (diffprop @ X2 @ X1)))) = $true)) )), 1.49/0.64 inference(beta_eta_normalization,[],[f857])). 1.49/0.64 thf(f857,plain,( 1.49/0.64 ( ! [X2 : $i,X1 : $i] : (((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = ((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((iii @ X1 @ Y0) => (n_some @ (diffprop @ Y0 @ X1))))) @ X2))) )), 1.49/0.64 inference(pi_clausification,[],[f856])). 1.49/0.64 thf(f856,plain,( 1.49/0.64 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((iii @ X1 @ Y0) => (n_some @ (diffprop @ Y0 @ X1))))))) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )), 1.49/0.64 inference(binary_proxy_clausification,[],[f855])). 1.49/0.64 thf(f855,plain,( 1.49/0.64 ( ! [X1 : $i] : (($true = ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((iii @ X1 @ Y0) => (n_some @ (diffprop @ Y0 @ X1))))))))) )), 1.49/0.64 inference(beta_eta_normalization,[],[f854])). 1.49/0.64 thf(f854,plain,( 1.49/0.64 ( ! 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[X2 : $i,X1 : $i] : ((((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => ((~ (n_some @ (diffprop @ X1 @ X2))) => ((~ (iii @ X1 @ X2)) => (n_is @ X1 @ X2)))) = $true) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )), 1.49/0.64 inference(beta_eta_normalization,[],[f959])). 1.49/0.64 thf(f959,plain,( 1.49/0.64 ( ! [X2 : $i,X1 : $i] : (((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | (((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ (n_some @ (diffprop @ X1 @ Y0))) => ((~ (iii @ X1 @ Y0)) => (n_is @ X1 @ Y0))))) @ X2) = $true)) )), 1.49/0.64 inference(pi_clausification,[],[f958])). 1.49/0.64 thf(f958,plain,( 1.49/0.64 ( ! [X1 : $i] : (((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ (n_some @ (diffprop @ X1 @ Y0))) => ((~ (iii @ X1 @ Y0)) => (n_is @ X1 @ Y0)))))) = $true)) )), 1.49/0.64 inference(binary_proxy_clausification,[],[f957])). 1.49/0.64 thf(f957,plain,( 1.49/0.64 ( ! [X1 : $i] : (($true = ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ (n_some @ (diffprop @ X1 @ Y0))) => ((~ (iii @ X1 @ Y0)) => (n_is @ X1 @ Y0))))))))) )), 1.49/0.64 inference(beta_eta_normalization,[],[f956])). 1.49/0.64 thf(f956,plain,( 1.49/0.64 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ (n_some @ (diffprop @ Y0 @ Y1))) => ((~ (iii @ Y0 @ Y1)) => (n_is @ Y0 @ Y1)))))))) @ X1))) )), 1.49/0.64 inference(pi_clausification,[],[f955])). 1.49/0.64 thf(f955,plain,( 1.49/0.64 ($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ (n_some @ (diffprop @ Y0 @ Y1))) => ((~ (iii @ Y0 @ Y1)) => (n_is @ Y0 @ Y1))))))))))), 1.49/0.64 inference(boolean_simplification,[],[f954])). 1.49/0.64 thf(f954,plain,( 1.49/0.64 ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => (((n_some @ (diffprop @ Y0 @ Y1)) => $false) => ((~ (iii @ Y0 @ Y1)) => (n_is @ Y0 @ Y1))))))))) = $true)), 1.49/0.64 inference(boolean_simplification,[],[f953])). 1.49/0.64 thf(f953,plain,( 1.49/0.64 ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => (((n_some @ (diffprop @ Y0 @ Y1)) => $false) => (((iii @ Y0 @ Y1) => $false) => (n_is @ Y0 @ Y1))))))))) = $true)), 1.49/0.64 inference(beta_eta_normalization,[],[f646])). 1.49/0.64 thf(f646,plain,( 1.49/0.64 ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((is_of @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ Y2 @ $false)) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (n_some @ (diffprop @ Y2 @ Y3))))) @ Y0 @ Y1)) => ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ Y5 @ $false)) @ Y4))) @ (iii @ Y2 @ Y3) @ (n_is @ Y2 @ Y3))))) @ Y0 @ Y1)))))))), 1.49/0.64 inference(definition_unfolding,[],[f579,f588,f588,f624,f606,f627])). 1.49/0.64 thf(f579,plain,( 1.49/0.64 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (d_29_ii @ Y0 @ Y1)) => (lessis @ Y0 @ Y1)))))))), 1.49/0.64 inference(cnf_transformation,[],[f473])). 1.49/0.64 thf(f473,plain,( 1.49/0.64 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (d_29_ii @ Y0 @ Y1)) => (lessis @ Y0 @ Y1)))))))), 1.49/0.64 inference(fool_elimination,[],[f472])). 1.49/0.64 thf(f472,plain,( 1.49/0.64 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((d_not @ (d_29_ii @ X1 @ X3)) => (lessis @ X1 @ X3))))))), 1.49/0.64 inference(rectify,[],[f209])). 1.49/0.64 thf(f209,axiom,( 1.49/0.64 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_not @ (d_29_ii @ X0 @ X1)) => (lessis @ X0 @ X1))))))), 1.49/0.64 file('/export/starexec/sandbox2/tmp/tmp.zJMT0DFjp2/E---3.1_18925.p',satz10e)). 1.49/0.64 thf(f1355,plain,( 1.49/0.64 ((n_is @ sK4 @ sK3) = $false) | ((n_is @ sK3 @ sK4) = $true) | ((iii @ sK3 @ sK4) = $true)), 1.49/0.64 inference(trivial_inequality_removal,[],[f1351])). 1.49/0.64 thf(f1351,plain,( 1.49/0.64 ((n_is @ sK4 @ sK3) = $false) | ((n_is @ sK3 @ sK4) = $true) | ((iii @ sK3 @ sK4) = $true) | ($true = $false)), 1.49/0.64 inference(superposition,[],[f910,f1184])). 1.49/0.64 thf(f1184,plain,( 1.49/0.64 ( ! [X0 : $i] : (((is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((n_is @ X0 @ sK3) = $false) | ($true = (n_is @ sK3 @ X0)) | ($true = (iii @ sK3 @ X0))) )), 1.49/0.64 inference(trivial_inequality_removal,[],[f1175])). 1.49/0.64 thf(f1175,plain,( 1.49/0.64 ( ! [X0 : $i] : (($true = (n_is @ sK3 @ X0)) | ($true = $false) | ((is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = (iii @ sK3 @ X0)) | ((n_is @ X0 @ sK3) = $false)) )), 1.49/0.64 inference(superposition,[],[f840,f906])). 1.49/0.64 thf(f840,plain,( 1.49/0.64 ( ! [X2 : $i,X1 : $i] : (($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat)))) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((n_is @ X1 @ X2) = $false) | ($true = (n_is @ X2 @ X1)) | ($true = (iii @ X2 @ X1))) )), 1.49/0.64 inference(not_proxy_clausification,[],[f839])). 1.49/0.64 thf(f839,plain,( 1.49/0.64 ( ! [X2 : $i,X1 : $i] : (($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat)))) | ((n_is @ X1 @ X2) = $false) | ($true = (n_is @ X2 @ X1)) | ((~ (iii @ X2 @ X1)) = $false) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )), 1.49/0.64 inference(binary_proxy_clausification,[],[f834])). 1.49/0.64 thf(f834,plain,( 1.49/0.64 ( ! [X2 : $i,X1 : $i] : (($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat)))) | ($true = ((~ (iii @ X2 @ X1)) => (n_is @ X2 @ X1))) | ((n_is @ X1 @ X2) = $false) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )), 1.49/0.64 inference(binary_proxy_clausification,[],[f833])). 1.49/0.64 thf(f833,plain,( 1.49/0.64 ( ! [X2 : $i,X1 : $i] : ((((~ (n_some @ (diffprop @ X1 @ X2))) => (n_is @ X1 @ X2)) = $false) | ($true = ((~ (iii @ X2 @ X1)) => (n_is @ X2 @ X1))) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))))) )), 1.49/0.64 inference(binary_proxy_clausification,[],[f832])). 1.49/0.64 thf(f832,plain,( 1.49/0.64 ( ! [X2 : $i,X1 : $i] : (($true = (((~ (n_some @ (diffprop @ X1 @ X2))) => (n_is @ X1 @ X2)) => ((~ (iii @ X2 @ X1)) => (n_is @ X2 @ X1)))) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))))) )), 1.49/0.64 inference(binary_proxy_clausification,[],[f831])). 1.49/0.64 thf(f831,plain,( 1.49/0.64 ( ! [X2 : $i,X1 : $i] : (($true = ((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => (((~ (n_some @ (diffprop @ X1 @ X2))) => (n_is @ X1 @ X2)) => ((~ (iii @ X2 @ X1)) => (n_is @ X2 @ X1))))) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )), 1.49/0.64 inference(beta_eta_normalization,[],[f830])). 1.49/0.64 thf(f830,plain,( 1.49/0.64 ( ! [X2 : $i,X1 : $i] : (((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = ((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (((~ (n_some @ (diffprop @ X1 @ Y0))) => (n_is @ X1 @ Y0)) => ((~ (iii @ Y0 @ X1)) => (n_is @ Y0 @ X1))))) @ X2))) )), 1.49/0.64 inference(pi_clausification,[],[f829])). 1.49/0.64 thf(f829,plain,( 1.49/0.64 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (((~ (n_some @ (diffprop @ X1 @ Y0))) => (n_is @ X1 @ Y0)) => ((~ (iii @ Y0 @ X1)) => (n_is @ Y0 @ X1)))))) = $true) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )), 1.49/0.64 inference(binary_proxy_clausification,[],[f828])). 1.49/0.64 thf(f828,plain,( 1.49/0.64 ( ! [X1 : $i] : (($true = ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (((~ (n_some @ (diffprop @ X1 @ Y0))) => (n_is @ X1 @ Y0)) => ((~ (iii @ Y0 @ X1)) => (n_is @ Y0 @ X1))))))))) )), 1.49/0.64 inference(beta_eta_normalization,[],[f827])). 1.49/0.64 thf(f827,plain,( 1.49/0.64 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => (((~ (n_some @ (diffprop @ Y0 @ Y1))) => (n_is @ Y0 @ Y1)) => ((~ (iii @ Y1 @ Y0)) => (n_is @ Y1 @ Y0)))))))) @ X1))) )), 1.49/0.64 inference(pi_clausification,[],[f826])). 1.49/0.64 thf(f826,plain,( 1.49/0.64 ($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => (((~ (n_some @ (diffprop @ Y0 @ Y1))) => (n_is @ Y0 @ Y1)) => ((~ (iii @ Y1 @ Y0)) => (n_is @ Y1 @ Y0))))))))))), 1.49/0.64 inference(boolean_simplification,[],[f825])). 1.49/0.64 thf(f825,plain,( 1.49/0.64 ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((((n_some @ (diffprop @ Y0 @ Y1)) => $false) => (n_is @ Y0 @ Y1)) => ((~ (iii @ Y1 @ Y0)) => (n_is @ Y1 @ Y0))))))))) = $true)), 1.49/0.64 inference(boolean_simplification,[],[f824])). 1.49/0.64 thf(f824,plain,( 1.49/0.64 ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((((n_some @ (diffprop @ Y0 @ Y1)) => $false) => (n_is @ Y0 @ Y1)) => (((iii @ Y1 @ Y0) => $false) => (n_is @ Y1 @ Y0))))))))) = $true)), 1.49/0.64 inference(beta_eta_normalization,[],[f665])). 1.49/0.64 thf(f665,plain,( 1.49/0.64 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((is_of @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ Y5 @ $false)) @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (n_some @ (diffprop @ Y4 @ Y5))))) @ Y2 @ Y3) @ (n_is @ Y2 @ Y3))))) @ Y0 @ Y1) => ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ Y5 @ $false)) @ Y4))) @ (iii @ Y2 @ Y3) @ (n_is @ Y2 @ Y3))))) @ Y1 @ Y0)))))) = $true)), 1.49/0.64 inference(definition_unfolding,[],[f620,f588,f588,f626,f627])). 1.49/0.64 thf(f626,plain,( 1.49/0.64 (moreis = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ ((^[Y3 : $o]: ((^[Y4 : $o]: ((^[Y5 : $o]: (Y4 => Y5)))) @ Y3 @ $false)) @ Y2))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (n_some @ (diffprop @ Y2 @ Y3))))) @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))), 1.49/0.64 inference(definition_unfolding,[],[f605,f625,f606])). 1.49/0.64 thf(f605,plain,( 1.49/0.64 (moreis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (d_29_ii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))), 1.49/0.64 inference(cnf_transformation,[],[f411])). 1.49/0.64 thf(f411,plain,( 1.49/0.64 (moreis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (d_29_ii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))), 1.49/0.64 inference(fool_elimination,[],[f189])). 1.49/0.64 thf(f189,axiom,( 1.49/0.64 (moreis = (^[X0 : $i, X1 : $i] : (l_or @ (d_29_ii @ X0 @ X1) @ (n_is @ X0 @ X1))))), 1.49/0.64 file('/export/starexec/sandbox2/tmp/tmp.zJMT0DFjp2/E---3.1_18925.p',def_moreis)). 1.49/0.64 thf(f620,plain,( 1.49/0.64 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((moreis @ Y0 @ Y1) => (lessis @ Y1 @ Y0)))))))), 1.49/0.64 inference(cnf_transformation,[],[f410])). 1.49/0.64 thf(f410,plain,( 1.49/0.64 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((moreis @ Y0 @ Y1) => (lessis @ Y1 @ Y0)))))))), 1.49/0.64 inference(fool_elimination,[],[f409])). 1.49/0.64 thf(f409,plain,( 1.49/0.64 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((moreis @ X1 @ X3) => (lessis @ X3 @ X1))))))), 1.49/0.64 inference(rectify,[],[f220])). 1.49/0.64 thf(f220,axiom,( 1.49/0.64 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((moreis @ X0 @ X1) => (lessis @ X1 @ X0))))))), 1.49/0.64 file('/export/starexec/sandbox2/tmp/tmp.zJMT0DFjp2/E---3.1_18925.p',satz13)). 1.49/0.64 % SZS output end Proof for E---3.1_18925 1.49/0.64 % (19062)------------------------------ 1.49/0.64 % (19062)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.49/0.64 % (19062)Termination reason: Refutation 1.49/0.64 1.49/0.64 % (19062)Memory used [KB]: 6652 1.49/0.64 % (19062)Time elapsed: 0.112 s 1.49/0.64 % (19062)Instructions burned: 163 (million) 1.49/0.64 % (19062)------------------------------ 1.49/0.64 % (19062)------------------------------ 1.49/0.64 % (19032)Success in time 0.229 s 1.49/0.64 EOF