0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_vampire %s %d THM 0.12/0.34 % Computer : n004.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1920 0.12/0.34 % WCLimit : 240 0.12/0.34 % DateTime : Wed Jul 30 07:51:49 EDT 2025 0.12/0.34 % CPUTime : 0.12/0.36 This is a THF_ problem 0.12/0.36 Running higher-order theorem proving 0.22/0.40 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.bD41ioRPKw/E---3.1_31116.p -m 16384 -t 240 0.22/0.44 % (31372)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_31116 for (2399ds/2Mi) 0.22/0.44 % (31372)Instruction limit reached! 0.22/0.44 % (31372)------------------------------ 0.22/0.44 % (31372)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.44 % (31372)Termination reason: Unknown 0.22/0.44 % (31372)Termination phase: shuffling 0.22/0.44 0.22/0.44 % (31372)Memory used [KB]: 1407 0.22/0.44 % (31372)Time elapsed: 0.003 s 0.22/0.44 % (31372)Instructions burned: 2 (million) 0.22/0.44 % (31372)------------------------------ 0.22/0.44 % (31372)------------------------------ 0.22/0.44 % (31369)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_31116 for (2399ds/183Mi) 0.22/0.44 % (31371)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_31116 for (2399ds/27Mi) 0.22/0.44 % (31370)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_31116 for (2399ds/4Mi) 0.22/0.44 % (31374)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_31116 for (2399ds/275Mi) 0.22/0.44 % (31373)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_31116 for (2399ds/2Mi) 0.22/0.44 % (31375)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_31116 for (2399ds/18Mi) 0.22/0.44 % (31373)Instruction limit reached! 0.22/0.44 % (31373)------------------------------ 0.22/0.44 % (31373)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.44 % (31373)Termination reason: Unknown 0.22/0.44 % (31373)Termination phase: shuffling 0.22/0.44 0.22/0.44 % (31373)Memory used [KB]: 1407 0.22/0.44 % (31373)Time elapsed: 0.004 s 0.22/0.44 % (31373)Instructions burned: 2 (million) 0.22/0.44 % (31373)------------------------------ 0.22/0.44 % (31373)------------------------------ 0.22/0.45 % (31370)Instruction limit reached! 0.22/0.45 % (31370)------------------------------ 0.22/0.45 % (31370)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.45 % (31370)Termination reason: Unknown 0.22/0.45 % (31370)Termination phase: shuffling 0.22/0.45 0.22/0.45 % (31370)Memory used [KB]: 1407 0.22/0.45 % (31370)Time elapsed: 0.004 s 0.22/0.45 % (31370)Instructions burned: 4 (million) 0.22/0.45 % (31370)------------------------------ 0.22/0.45 % (31370)------------------------------ 0.22/0.45 % (31376)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_31116 for (2399ds/3Mi) 0.22/0.45 % (31376)Instruction limit reached! 0.22/0.45 % (31376)------------------------------ 0.22/0.45 % (31376)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.45 % (31376)Termination reason: Unknown 0.22/0.45 % (31376)Termination phase: shuffling 0.22/0.45 0.22/0.45 % (31376)Memory used [KB]: 1407 0.22/0.45 % (31376)Time elapsed: 0.003 s 0.22/0.45 % (31376)Instructions burned: 5 (million) 0.22/0.45 % (31376)------------------------------ 0.22/0.45 % (31376)------------------------------ 0.22/0.45 % (31375)Instruction limit reached! 0.22/0.45 % (31375)------------------------------ 0.22/0.45 % (31375)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.45 % (31375)Termination reason: Unknown 0.22/0.45 % (31375)Termination phase: shuffling 0.22/0.45 0.22/0.45 % (31375)Memory used [KB]: 1663 0.22/0.45 % (31375)Time elapsed: 0.013 s 0.22/0.45 % (31375)Instructions burned: 19 (million) 0.22/0.45 % (31375)------------------------------ 0.22/0.45 % (31375)------------------------------ 0.22/0.46 % (31379)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_31116 for (2399ds/3Mi) 0.22/0.46 % (31371)Instruction limit reached! 0.22/0.46 % (31371)------------------------------ 0.22/0.46 % (31371)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.46 % (31371)Termination reason: Unknown 0.22/0.46 % (31371)Termination phase: shuffling 0.22/0.46 0.22/0.46 % (31371)Memory used [KB]: 1791 0.22/0.46 % (31371)Time elapsed: 0.017 s 0.22/0.46 % (31371)Instructions burned: 27 (million) 0.22/0.46 % (31371)------------------------------ 0.22/0.46 % (31371)------------------------------ 0.22/0.46 % (31379)Instruction limit reached! 0.22/0.46 % (31379)------------------------------ 0.22/0.46 % (31379)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.46 % (31379)Termination reason: Unknown 0.22/0.46 % (31379)Termination phase: shuffling 0.22/0.46 0.22/0.46 % (31379)Memory used [KB]: 1407 0.22/0.46 % (31379)Time elapsed: 0.003 s 0.22/0.46 % (31379)Instructions burned: 6 (million) 0.22/0.46 % (31379)------------------------------ 0.22/0.46 % (31379)------------------------------ 0.22/0.46 % (31377)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_31116 for (2399ds/37Mi) 0.22/0.46 % (31378)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_31116 for (2399ds/15Mi) 0.22/0.47 % (31380)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_31116 for (2399ds/1041Mi) 0.22/0.47 % (31378)Instruction limit reached! 0.22/0.47 % (31378)------------------------------ 0.22/0.47 % (31378)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.47 % (31378)Termination reason: Unknown 0.22/0.47 % (31378)Termination phase: shuffling 0.22/0.47 0.22/0.47 % (31378)Memory used [KB]: 1663 0.22/0.47 % (31378)Time elapsed: 0.011 s 0.22/0.47 % (31378)Instructions burned: 15 (million) 0.22/0.47 % (31378)------------------------------ 0.22/0.47 % (31378)------------------------------ 0.22/0.47 % (31382)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_31116 for (2399ds/16Mi) 0.22/0.47 % (31381)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_31116 for (2399ds/7Mi) 0.26/0.48 % (31374)Refutation not found, incomplete strategy 0.26/0.48 % (31374)------------------------------ 0.26/0.48 % (31374)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.48 % (31374)Termination reason: Refutation not found, incomplete strategy 0.26/0.48 0.26/0.48 0.26/0.48 % (31374)Memory used [KB]: 6396 0.26/0.48 % (31374)Time elapsed: 0.037 s 0.26/0.48 % (31374)Instructions burned: 65 (million) 0.26/0.48 % (31374)------------------------------ 0.26/0.48 % (31374)------------------------------ 0.26/0.48 % (31381)Instruction limit reached! 0.26/0.48 % (31381)------------------------------ 0.26/0.48 % (31381)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.48 % (31381)Termination reason: Unknown 0.26/0.48 % (31381)Termination phase: shuffling 0.26/0.48 0.26/0.48 % (31381)Memory used [KB]: 1407 0.26/0.48 % (31381)Time elapsed: 0.007 s 0.26/0.48 % (31381)Instructions burned: 8 (million) 0.26/0.48 % (31381)------------------------------ 0.26/0.48 % (31381)------------------------------ 0.26/0.48 % (31382)Instruction limit reached! 0.26/0.48 % (31382)------------------------------ 0.26/0.48 % (31382)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.48 % (31382)Termination reason: Unknown 0.26/0.48 % (31382)Termination phase: shuffling 0.26/0.48 0.26/0.48 % (31382)Memory used [KB]: 1663 0.26/0.48 % (31382)Time elapsed: 0.011 s 0.26/0.48 % (31382)Instructions burned: 16 (million) 0.26/0.48 % (31382)------------------------------ 0.26/0.48 % (31382)------------------------------ 0.26/0.48 % (31377)Instruction limit reached! 0.26/0.48 % (31377)------------------------------ 0.26/0.48 % (31377)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.48 % (31377)Termination reason: Unknown 0.26/0.48 % (31377)Termination phase: Property scanning 0.26/0.48 0.26/0.48 % (31377)Memory used [KB]: 2046 0.26/0.48 % (31377)Time elapsed: 0.024 s 0.26/0.48 % (31377)Instructions burned: 37 (million) 0.26/0.48 % (31377)------------------------------ 0.26/0.48 % (31377)------------------------------ 0.26/0.49 % (31390)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_31116 for (2399ds/3Mi) 0.26/0.49 % (31390)Instruction limit reached! 0.26/0.49 % (31390)------------------------------ 0.26/0.49 % (31390)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.49 % (31390)Termination reason: Unknown 0.26/0.49 % (31390)Termination phase: shuffling 0.26/0.49 0.26/0.49 % (31390)Memory used [KB]: 1407 0.26/0.49 % (31390)Time elapsed: 0.004 s 0.26/0.49 % (31390)Instructions burned: 4 (million) 0.26/0.49 % (31390)------------------------------ 0.26/0.49 % (31390)------------------------------ 0.26/0.49 % (31391)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_31116 for (2399ds/3Mi) 0.26/0.49 % (31392)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_31116 for (2399ds/7Mi) 0.26/0.50 % (31391)Instruction limit reached! 0.26/0.50 % (31391)------------------------------ 0.26/0.50 % (31391)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.50 % (31391)Termination reason: Unknown 0.26/0.50 % (31391)Termination phase: shuffling 0.26/0.50 0.26/0.50 % (31391)Memory used [KB]: 1407 0.26/0.50 % (31391)Time elapsed: 0.004 s 0.26/0.50 % (31391)Instructions burned: 3 (million) 0.26/0.50 % (31391)------------------------------ 0.26/0.50 % (31391)------------------------------ 0.26/0.50 % (31393)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_31116 for (2399ds/3Mi) 0.26/0.50 % (31392)Instruction limit reached! 0.26/0.50 % (31392)------------------------------ 0.26/0.50 % (31392)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.50 % (31392)Termination reason: Unknown 0.26/0.50 % (31392)Termination phase: shuffling 0.26/0.50 0.26/0.50 % (31392)Memory used [KB]: 1407 0.26/0.50 % (31392)Time elapsed: 0.006 s 0.26/0.50 % (31392)Instructions burned: 7 (million) 0.26/0.50 % (31392)------------------------------ 0.26/0.50 % (31392)------------------------------ 0.26/0.50 % (31393)Instruction limit reached! 0.26/0.50 % (31393)------------------------------ 0.26/0.50 % (31393)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.50 % (31393)Termination reason: Unknown 0.26/0.50 % (31393)Termination phase: shuffling 0.26/0.50 0.26/0.50 % (31393)Memory used [KB]: 1407 0.26/0.50 % (31393)Time elapsed: 0.004 s 0.26/0.50 % (31393)Instructions burned: 3 (million) 0.26/0.50 % (31393)------------------------------ 0.26/0.50 % (31393)------------------------------ 0.26/0.50 % (31394)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_31116 for (2399ds/4Mi) 0.26/0.50 % (31394)Instruction limit reached! 0.26/0.50 % (31394)------------------------------ 0.26/0.50 % (31394)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.50 % (31394)Termination reason: Unknown 0.26/0.50 % (31394)Termination phase: shuffling 0.26/0.50 0.26/0.50 % (31394)Memory used [KB]: 1407 0.26/0.50 % (31394)Time elapsed: 0.005 s 0.26/0.50 % (31394)Instructions burned: 5 (million) 0.26/0.50 % (31394)------------------------------ 0.26/0.50 % (31394)------------------------------ 0.26/0.51 % (31396)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_31116 for (2399ds/18Mi) 0.26/0.51 % (31397)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_31116 for (2399ds/710Mi) 0.26/0.51 % (31398)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_31116 for (2399ds/6Mi) 0.26/0.52 % (31399)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_31116 for (2399ds/902Mi) 0.82/0.52 % (31396)Instruction limit reached! 0.82/0.52 % (31396)------------------------------ 0.82/0.52 % (31396)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.82/0.52 % (31396)Termination reason: Unknown 0.82/0.52 % (31396)Termination phase: shuffling 0.82/0.52 0.82/0.52 % (31396)Memory used [KB]: 1663 0.82/0.52 % (31396)Time elapsed: 0.013 s 0.82/0.52 % (31396)Instructions burned: 19 (million) 0.82/0.52 % (31396)------------------------------ 0.82/0.52 % (31396)------------------------------ 0.82/0.52 % (31398)Instruction limit reached! 0.82/0.52 % (31398)------------------------------ 0.82/0.52 % (31398)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.82/0.52 % (31398)Termination reason: Unknown 0.82/0.52 % (31398)Termination phase: shuffling 0.82/0.52 0.82/0.52 % (31398)Memory used [KB]: 1407 0.82/0.52 % (31398)Time elapsed: 0.006 s 0.82/0.52 % (31398)Instructions burned: 7 (million) 0.82/0.52 % (31398)------------------------------ 0.82/0.52 % (31398)------------------------------ 0.82/0.52 % (31400)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_31116 for (2399ds/21Mi) 0.82/0.52 % (31369)Instruction limit reached! 0.82/0.52 % (31369)------------------------------ 0.82/0.52 % (31369)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.82/0.52 % (31369)Termination reason: Unknown 0.82/0.52 % (31369)Termination phase: Function definition elimination 0.82/0.52 0.82/0.52 % (31369)Memory used [KB]: 2174 0.82/0.52 % (31369)Time elapsed: 0.080 s 0.82/0.52 % (31369)Instructions burned: 183 (million) 0.82/0.52 % (31369)------------------------------ 0.82/0.52 % (31369)------------------------------ 0.82/0.53 % (31400)Instruction limit reached! 0.82/0.53 % (31400)------------------------------ 0.82/0.53 % (31400)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.82/0.53 % (31400)Termination reason: Unknown 0.82/0.53 % (31400)Termination phase: shuffling 0.82/0.53 0.82/0.53 % (31400)Memory used [KB]: 1663 0.82/0.53 % (31400)Time elapsed: 0.014 s 0.82/0.53 % (31400)Instructions burned: 21 (million) 0.82/0.53 % (31400)------------------------------ 0.82/0.53 % (31400)------------------------------ 0.82/0.53 % (31412)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_31116 for (2399ds/5Mi) 0.82/0.53 % (31414)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_31116 for (2399ds/6Mi) 0.92/0.54 % (31412)Instruction limit reached! 0.92/0.54 % (31412)------------------------------ 0.92/0.54 % (31412)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.92/0.54 % (31412)Termination reason: Unknown 0.92/0.54 % (31412)Termination phase: shuffling 0.92/0.54 0.92/0.54 % (31412)Memory used [KB]: 1407 0.92/0.54 % (31412)Time elapsed: 0.005 s 0.92/0.54 % (31412)Instructions burned: 5 (million) 0.92/0.54 % (31412)------------------------------ 0.92/0.54 % (31412)------------------------------ 0.92/0.54 % (31414)Instruction limit reached! 0.92/0.54 % (31414)------------------------------ 0.92/0.54 % (31414)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.92/0.54 % (31414)Termination reason: Unknown 0.92/0.54 % (31414)Termination phase: shuffling 0.92/0.54 0.92/0.54 % (31414)Memory used [KB]: 1535 0.92/0.54 % (31414)Time elapsed: 0.006 s 0.92/0.54 % (31414)Instructions burned: 8 (million) 0.92/0.54 % (31414)------------------------------ 0.92/0.54 % (31414)------------------------------ 0.92/0.54 % (31417)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_31116 for (2399ds/377Mi) 0.92/0.55 % (31426)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_31116 for (2398ds/779Mi) 0.92/0.55 % (31433)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_31116 for (2398ds/879Mi) 0.92/0.55 % (31431)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_31116 for (2398ds/19Mi) 0.92/0.56 % (31431)Instruction limit reached! 0.92/0.56 % (31431)------------------------------ 0.92/0.56 % (31431)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.92/0.56 % (31431)Termination reason: Unknown 0.92/0.56 % (31431)Termination phase: shuffling 0.92/0.56 0.92/0.56 % (31431)Memory used [KB]: 1663 0.92/0.56 % (31431)Time elapsed: 0.010 s 0.92/0.56 % (31431)Instructions burned: 21 (million) 0.92/0.56 % (31431)------------------------------ 0.92/0.56 % (31431)------------------------------ 0.92/0.57 % (31399)Refutation not found, incomplete strategy 0.92/0.57 % (31399)------------------------------ 0.92/0.57 % (31399)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.92/0.57 % (31399)Termination reason: Refutation not found, incomplete strategy 0.92/0.57 0.92/0.57 0.92/0.57 % (31399)Memory used [KB]: 6780 0.92/0.57 % (31399)Time elapsed: 0.052 s 0.92/0.57 % (31399)Instructions burned: 109 (million) 0.92/0.57 % (31399)------------------------------ 0.92/0.57 % (31399)------------------------------ 0.92/0.57 % (31452)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_31116 for (2398ds/17Mi) 0.92/0.57 % (31452)Instruction limit reached! 0.92/0.57 % (31452)------------------------------ 0.92/0.57 % (31452)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.92/0.57 % (31452)Termination reason: Unknown 0.92/0.57 % (31452)Termination phase: shuffling 0.92/0.57 0.92/0.57 % (31452)Memory used [KB]: 1663 0.92/0.57 % (31452)Time elapsed: 0.007 s 0.92/0.57 % (31452)Instructions burned: 19 (million) 0.92/0.57 % (31452)------------------------------ 0.92/0.57 % (31452)------------------------------ 0.92/0.58 % (31461)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_31116 for (2398ds/3Mi) 0.92/0.58 % (31461)Instruction limit reached! 0.92/0.58 % (31461)------------------------------ 0.92/0.58 % (31461)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.92/0.58 % (31461)Termination reason: Unknown 0.92/0.58 % (31461)Termination phase: shuffling 0.92/0.58 0.92/0.58 % (31461)Memory used [KB]: 1407 0.92/0.58 % (31461)Time elapsed: 0.003 s 0.92/0.58 % (31461)Instructions burned: 4 (million) 0.92/0.58 % (31461)------------------------------ 0.92/0.58 % (31461)------------------------------ 0.92/0.58 % (31433)Refutation not found, incomplete strategy 0.92/0.58 % (31433)------------------------------ 0.92/0.58 % (31433)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.92/0.58 % (31433)Termination reason: Refutation not found, incomplete strategy 0.92/0.58 0.92/0.58 0.92/0.58 % (31433)Memory used [KB]: 6652 0.92/0.58 % (31433)Time elapsed: 0.031 s 0.92/0.58 % (31433)Instructions burned: 93 (million) 0.92/0.58 % (31433)------------------------------ 0.92/0.58 % (31433)------------------------------ 0.92/0.58 % (31469)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_31116 for (2398ds/30Mi) 0.92/0.59 % (31473)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_31116 for (2398ds/127Mi) 0.92/0.59 % (31477)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_31116 for (2398ds/100Mi) 0.92/0.59 % (31469)Instruction limit reached! 0.92/0.59 % (31469)------------------------------ 0.92/0.59 % (31469)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.92/0.59 % (31469)Termination reason: Unknown 0.92/0.59 % (31469)Termination phase: shuffling 0.92/0.59 0.92/0.59 % (31469)Memory used [KB]: 1791 0.92/0.59 % (31469)Time elapsed: 0.011 s 0.92/0.59 % (31469)Instructions burned: 31 (million) 0.92/0.59 % (31469)------------------------------ 0.92/0.59 % (31469)------------------------------ 0.92/0.60 % (31489)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_31116 for (2398ds/3Mi) 0.92/0.60 % (31489)Instruction limit reached! 0.92/0.60 % (31489)------------------------------ 0.92/0.60 % (31489)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.92/0.60 % (31489)Termination reason: Unknown 0.92/0.60 % (31489)Termination phase: shuffling 0.92/0.60 0.92/0.60 % (31489)Memory used [KB]: 1407 0.92/0.60 % (31489)Time elapsed: 0.003 s 0.92/0.60 % (31489)Instructions burned: 4 (million) 0.92/0.60 % (31489)------------------------------ 0.92/0.60 % (31489)------------------------------ 0.92/0.61 % (31500)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_31116 for (2398ds/20Mi) 0.92/0.62 % (31477)Instruction limit reached! 0.92/0.62 % (31477)------------------------------ 0.92/0.62 % (31477)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.92/0.62 % (31477)Termination reason: Unknown 0.92/0.62 % (31477)Termination phase: Function definition elimination 0.92/0.62 0.92/0.62 % (31477)Memory used [KB]: 2174 0.92/0.62 % (31477)Time elapsed: 0.028 s 0.92/0.62 % (31477)Instructions burned: 101 (million) 0.92/0.62 % (31477)------------------------------ 0.92/0.62 % (31477)------------------------------ 0.92/0.62 % (31500)Instruction limit reached! 0.92/0.62 % (31500)------------------------------ 0.92/0.62 % (31500)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.92/0.62 % (31500)Termination reason: Unknown 0.92/0.62 % (31500)Termination phase: shuffling 0.92/0.62 0.92/0.62 % (31500)Memory used [KB]: 1663 0.92/0.62 % (31500)Time elapsed: 0.008 s 0.92/0.62 % (31500)Instructions burned: 20 (million) 0.92/0.62 % (31500)------------------------------ 0.92/0.62 % (31500)------------------------------ 0.92/0.62 % (31473)Instruction limit reached! 0.92/0.62 % (31473)------------------------------ 0.92/0.62 % (31473)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.92/0.62 % (31473)Termination reason: Unknown 0.92/0.62 % (31473)Termination phase: Function definition elimination 0.92/0.62 0.92/0.62 % (31473)Memory used [KB]: 2174 0.92/0.62 % (31473)Time elapsed: 0.036 s 0.92/0.62 % (31473)Instructions burned: 131 (million) 0.92/0.62 % (31473)------------------------------ 0.92/0.62 % (31473)------------------------------ 0.92/0.63 % (31514)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on E---3.1_31116 for (2397ds/86Mi) 0.92/0.63 % (31521)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on E---3.1_31116 for (2397ds/39Mi) 0.92/0.63 % (31517)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on E---3.1_31116 for (2397ds/107Mi) 1.45/0.64 % (31417)Instruction limit reached! 1.45/0.64 % (31417)------------------------------ 1.45/0.64 % (31417)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.45/0.64 % (31417)Termination reason: Unknown 1.45/0.64 % (31417)Termination phase: Function definition elimination 1.45/0.64 1.45/0.64 % (31417)Memory used [KB]: 2174 1.45/0.64 % (31417)Time elapsed: 0.106 s 1.45/0.64 % (31417)Instructions burned: 378 (million) 1.45/0.64 % (31417)------------------------------ 1.45/0.64 % (31417)------------------------------ 1.45/0.64 % (31521)Instruction limit reached! 1.45/0.64 % (31521)------------------------------ 1.45/0.64 % (31521)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.45/0.64 % (31521)Termination reason: Unknown 1.45/0.64 % (31521)Termination phase: Property scanning 1.45/0.64 1.45/0.64 % (31521)Memory used [KB]: 2046 1.45/0.64 % (31521)Time elapsed: 0.016 s 1.45/0.64 % (31521)Instructions burned: 39 (million) 1.45/0.64 % (31521)------------------------------ 1.45/0.64 % (31521)------------------------------ 1.45/0.65 % (31544)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on E---3.1_31116 for (2397ds/448Mi) 1.45/0.65 % (31545)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on E---3.1_31116 for (2397ds/46Mi) 1.45/0.66 % (31514)Instruction limit reached! 1.45/0.66 % (31514)------------------------------ 1.45/0.66 % (31514)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.45/0.66 % (31514)Termination reason: Unknown 1.45/0.66 % (31514)Termination phase: Function definition elimination 1.45/0.66 1.45/0.66 % (31514)Memory used [KB]: 2046 1.45/0.66 % (31514)Time elapsed: 0.035 s 1.45/0.66 % (31514)Instructions burned: 87 (million) 1.45/0.66 % (31514)------------------------------ 1.45/0.66 % (31514)------------------------------ 1.45/0.67 % (31553)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on E---3.1_31116 for (2397ds/98Mi) 1.45/0.68 % (31545)Instruction limit reached! 1.45/0.68 % (31545)------------------------------ 1.45/0.68 % (31545)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.45/0.68 % (31545)Termination reason: Unknown 1.45/0.68 % (31545)Termination phase: Property scanning 1.45/0.68 1.45/0.68 % (31545)Memory used [KB]: 1791 1.45/0.68 % (31545)Time elapsed: 0.025 s 1.45/0.68 % (31545)Instructions burned: 46 (million) 1.45/0.68 % (31545)------------------------------ 1.45/0.68 % (31545)------------------------------ 1.45/0.69 % (31556)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on E---3.1_31116 for (2397ds/507Mi) 1.78/0.70 % (31517)Instruction limit reached! 1.78/0.70 % (31517)------------------------------ 1.78/0.70 % (31517)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.78/0.70 % (31517)Termination reason: Unknown 1.78/0.70 % (31517)Termination phase: Property scanning 1.78/0.70 1.78/0.70 % (31517)Memory used [KB]: 2046 1.78/0.70 % (31517)Time elapsed: 0.066 s 1.78/0.70 % (31517)Instructions burned: 108 (million) 1.78/0.70 % (31517)------------------------------ 1.78/0.70 % (31517)------------------------------ 1.78/0.71 % (31561)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on E---3.1_31116 for (2397ds/149Mi) 1.78/0.72 % (31553)Instruction limit reached! 1.78/0.72 % (31553)------------------------------ 1.78/0.72 % (31553)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.78/0.72 % (31553)Termination reason: Unknown 1.78/0.72 % (31553)Termination phase: Function definition elimination 1.78/0.72 1.78/0.72 % (31553)Memory used [KB]: 2174 1.78/0.72 % (31553)Time elapsed: 0.042 s 1.78/0.72 % (31553)Instructions burned: 100 (million) 1.78/0.72 % (31553)------------------------------ 1.78/0.72 % (31553)------------------------------ 1.78/0.72 % (31380)Instruction limit reached! 1.78/0.72 % (31380)------------------------------ 1.78/0.72 % (31380)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.78/0.72 % (31380)Termination reason: Unknown 1.78/0.72 % (31380)Termination phase: Property scanning 1.78/0.72 1.78/0.72 % (31380)Memory used [KB]: 2302 1.78/0.72 % (31380)Time elapsed: 0.255 s 1.78/0.72 % (31380)Instructions burned: 1041 (million) 1.78/0.72 % (31380)------------------------------ 1.78/0.72 % (31380)------------------------------ 1.78/0.72 % (31544)First to succeed. 1.78/0.73 % (31544)Refutation found. Thanks to Tanya! 1.78/0.73 % SZS status Theorem for E---3.1_31116 1.78/0.73 % SZS output start Proof for E---3.1_31116 1.78/0.73 thf(func_def_0, type, is_of: $i > ($i > $o) > $o). 1.78/0.73 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o). 1.78/0.73 thf(func_def_3, type, eps: ($i > $o) > $i). 1.78/0.73 thf(func_def_4, type, in: $i > $i > $o). 1.78/0.73 thf(func_def_5, type, d_Subq: $i > $i > $o). 1.78/0.73 thf(func_def_7, type, union: $i > $i). 1.78/0.73 thf(func_def_8, type, power: $i > $i). 1.78/0.73 thf(func_def_9, type, repl: $i > ($i > $i) > $i). 1.78/0.73 thf(func_def_10, type, d_Union_closed: $i > $o). 1.78/0.73 thf(func_def_11, type, d_Power_closed: $i > $o). 1.78/0.73 thf(func_def_12, type, d_Repl_closed: $i > $o). 1.78/0.73 thf(func_def_13, type, d_ZF_closed: $i > $o). 1.78/0.73 thf(func_def_14, type, univof: $i > $i). 1.78/0.73 thf(func_def_15, type, if: $o > $i > $i > $i). 1.78/0.73 thf(func_def_16, type, nIn: $i > $i > $o). 1.78/0.73 thf(func_def_17, type, d_UPair: $i > $i > $i). 1.78/0.73 thf(func_def_18, type, d_Sing: $i > $i). 1.78/0.73 thf(func_def_19, type, binunion: $i > $i > $i). 1.78/0.73 thf(func_def_20, type, famunion: $i > ($i > $i) > $i). 1.78/0.73 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i). 1.78/0.73 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i). 1.78/0.73 thf(func_def_23, type, setminus: $i > $i > $i). 1.78/0.73 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o). 1.78/0.73 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i). 1.78/0.73 thf(func_def_26, type, ordsucc: $i > $i). 1.78/0.73 thf(func_def_27, type, nat_p: $i > $o). 1.78/0.73 thf(func_def_29, type, d_Inj1: $i > $i). 1.78/0.73 thf(func_def_30, type, d_Inj0: $i > $i). 1.78/0.73 thf(func_def_31, type, d_Unj: $i > $i). 1.78/0.73 thf(func_def_32, type, pair: $i > $i > $i). 1.78/0.73 thf(func_def_33, type, proj0: $i > $i). 1.78/0.73 thf(func_def_34, type, proj1: $i > $i). 1.78/0.73 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i). 1.78/0.73 thf(func_def_36, type, setprod: $i > $i > $i). 1.78/0.73 thf(func_def_37, type, ap: $i > $i > $i). 1.78/0.73 thf(func_def_38, type, pair_p: $i > $o). 1.78/0.73 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i). 1.78/0.73 thf(func_def_40, type, imp: $o > $o > $o). 1.78/0.73 thf(func_def_41, type, d_not: $o > $o). 1.78/0.73 thf(func_def_42, type, wel: $o > $o). 1.78/0.73 thf(func_def_44, type, l_ec: $o > $o > $o). 1.78/0.73 thf(func_def_45, type, d_and: $o > $o > $o). 1.78/0.73 thf(func_def_46, type, l_or: $o > $o > $o). 1.78/0.73 thf(func_def_47, type, orec: $o > $o > $o). 1.78/0.73 thf(func_def_48, type, l_iff: $o > $o > $o). 1.78/0.73 thf(func_def_49, type, all: $i > ($i > $o) > $o). 1.78/0.73 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o). 1.78/0.73 thf(func_def_51, type, l_some: $i > ($i > $o) > $o). 1.78/0.73 thf(func_def_52, type, or3: $o > $o > $o > $o). 1.78/0.73 thf(func_def_53, type, and3: $o > $o > $o > $o). 1.78/0.73 thf(func_def_54, type, ec3: $o > $o > $o > $o). 1.78/0.73 thf(func_def_55, type, orec3: $o > $o > $o > $o). 1.78/0.73 thf(func_def_56, type, e_is: $i > $i > $i > $o). 1.78/0.73 thf(func_def_57, type, amone: $i > ($i > $o) > $o). 1.78/0.73 thf(func_def_58, type, one: $i > ($i > $o) > $o). 1.78/0.73 thf(func_def_59, type, ind: $i > ($i > $o) > $i). 1.78/0.73 thf(func_def_60, type, injective: $i > $i > $i > $o). 1.78/0.73 thf(func_def_61, type, image: $i > $i > $i > $i > $o). 1.78/0.73 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i). 1.78/0.73 thf(func_def_63, type, soft: $i > $i > $i > $i > $i). 1.78/0.73 thf(func_def_64, type, inverse: $i > $i > $i > $i). 1.78/0.73 thf(func_def_65, type, surjective: $i > $i > $i > $o). 1.78/0.73 thf(func_def_66, type, bijective: $i > $i > $i > $o). 1.78/0.73 thf(func_def_67, type, invf: $i > $i > $i > $i). 1.78/0.73 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i). 1.78/0.73 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i). 1.78/0.73 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i). 1.78/0.73 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i). 1.78/0.73 thf(func_def_72, type, first: $i > $i > $i > $i). 1.78/0.73 thf(func_def_73, type, second: $i > $i > $i > $i). 1.78/0.73 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o). 1.78/0.73 thf(func_def_75, type, ite: $o > $i > $i > $i > $i). 1.78/0.73 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i). 1.78/0.73 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i). 1.78/0.73 thf(func_def_78, type, wissel: $i > $i > $i > $i). 1.78/0.73 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i). 1.78/0.73 thf(func_def_80, type, r_ec: $o > $o > $o). 1.78/0.73 thf(func_def_81, type, esti: $i > $i > $i > $o). 1.78/0.73 thf(func_def_82, type, empty: $i > $i > $o). 1.78/0.73 thf(func_def_83, type, nonempty: $i > $i > $o). 1.78/0.73 thf(func_def_84, type, incl: $i > $i > $i > $o). 1.78/0.73 thf(func_def_85, type, st_disj: $i > $i > $i > $o). 1.78/0.73 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o). 1.78/0.73 thf(func_def_87, type, unmore: $i > $i > $i > $i). 1.78/0.73 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i). 1.78/0.73 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o). 1.78/0.73 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o). 1.78/0.73 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i). 1.78/0.73 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i). 1.78/0.73 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i). 1.78/0.73 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i). 1.78/0.73 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o). 1.78/0.73 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o). 1.78/0.73 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o). 1.78/0.73 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i). 1.78/0.73 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o). 1.78/0.73 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i). 1.78/0.73 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i). 1.78/0.73 thf(func_def_103, type, n_is: $i > $i > $o). 1.78/0.73 thf(func_def_104, type, nis: $i > $i > $o). 1.78/0.73 thf(func_def_105, type, n_in: $i > $i > $o). 1.78/0.73 thf(func_def_106, type, n_some: ($i > $o) > $o). 1.78/0.73 thf(func_def_107, type, n_all: ($i > $o) > $o). 1.78/0.73 thf(func_def_108, type, n_one: ($i > $o) > $o). 1.78/0.73 thf(func_def_110, type, cond1: $i > $o). 1.78/0.73 thf(func_def_111, type, cond2: $i > $o). 1.78/0.73 thf(func_def_112, type, i1_s: ($i > $o) > $i). 1.78/0.73 thf(func_def_113, type, d_22_prop1: $i > $o). 1.78/0.73 thf(func_def_114, type, d_23_prop1: $i > $o). 1.78/0.73 thf(func_def_115, type, d_24_prop1: $i > $o). 1.78/0.73 thf(func_def_116, type, d_24_prop2: $i > $i > $o). 1.78/0.73 thf(func_def_117, type, prop3: $i > $i > $i > $o). 1.78/0.73 thf(func_def_118, type, prop4: $i > $o). 1.78/0.73 thf(func_def_119, type, d_24_g: $i > $i). 1.78/0.73 thf(func_def_120, type, plus: $i > $i). 1.78/0.73 thf(func_def_121, type, n_pl: $i > $i > $i). 1.78/0.73 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o). 1.78/0.73 thf(func_def_123, type, d_26_prop1: $i > $i > $o). 1.78/0.73 thf(func_def_124, type, d_27_prop1: $i > $i > $o). 1.78/0.73 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o). 1.78/0.73 thf(func_def_126, type, diffprop: $i > $i > $i > $o). 1.78/0.73 thf(func_def_127, type, d_29_ii: $i > $i > $o). 1.78/0.73 thf(func_def_128, type, iii: $i > $i > $o). 1.78/0.73 thf(func_def_129, type, d_29_prop1: $i > $i > $o). 1.78/0.73 thf(func_def_130, type, moreis: $i > $i > $o). 1.78/0.73 thf(func_def_131, type, lessis: $i > $i > $o). 1.78/0.73 thf(func_def_132, type, lbprop: ($i > $o) > $i > $i > $o). 1.78/0.73 thf(func_def_133, type, n_lb: ($i > $o) > $i > $o). 1.78/0.73 thf(func_def_134, type, min: ($i > $o) > $i > $o). 1.78/0.73 thf(func_def_135, type, d_428_prop1: $i > $i > $o). 1.78/0.73 thf(func_def_136, type, d_428_prop2: $i > $i > $o). 1.78/0.73 thf(func_def_137, type, d_428_prop4: $i > $o). 1.78/0.73 thf(func_def_139, type, d_428_g: $i > $i). 1.78/0.73 thf(func_def_140, type, times: $i > $i). 1.78/0.73 thf(func_def_141, type, n_ts: $i > $i > $i). 1.78/0.73 thf(func_def_162, type, sK1: ($i > $o) > $i). 1.78/0.73 thf(func_def_163, type, sK2: ($i > $i) > $i > ($i > $i) > $i). 1.78/0.73 thf(func_def_164, type, ph3: !>[X0: $tType]:(X0)). 1.78/0.73 thf(f1195,plain,( 1.78/0.73 $false), 1.78/0.73 inference(trivial_inequality_removal,[],[f1194])). 1.78/0.73 thf(f1194,plain,( 1.78/0.73 (sK8 != sK8)), 1.78/0.73 inference(superposition,[],[f1185,f1182])). 1.78/0.73 thf(f1182,plain,( 1.78/0.73 ((n_ts @ (ordsucc @ emptyset) @ sK8) = sK8)), 1.78/0.73 inference(duplicate_literal_removal,[],[f1181])). 1.78/0.73 thf(f1181,plain,( 1.78/0.73 ((n_ts @ (ordsucc @ emptyset) @ sK8) = sK8) | ((n_ts @ (ordsucc @ emptyset) @ sK8) = sK8)), 1.78/0.73 inference(equality_proxy_clausification,[],[f1180])). 1.78/0.73 thf(f1180,plain,( 1.78/0.73 (((n_ts @ (ordsucc @ emptyset) @ sK8) = sK8) = $true) | ((n_ts @ (ordsucc @ emptyset) @ sK8) = sK8)), 1.78/0.73 inference(equality_proxy_clausification,[],[f1178])). 1.78/0.73 thf(f1178,plain,( 1.78/0.73 ((sK8 = (n_ts @ (ordsucc @ emptyset) @ sK8)) = $true) | (((n_ts @ (ordsucc @ emptyset) @ sK8) = sK8) = $true)), 1.78/0.73 inference(binary_proxy_clausification,[],[f1177])). 1.78/0.73 thf(f1177,plain,( 1.78/0.73 (((n_ts @ (ordsucc @ emptyset) @ sK8) = sK8) != (sK8 = (n_ts @ (ordsucc @ emptyset) @ sK8)))), 1.78/0.73 inference(beta_eta_normalization,[],[f1176])). 1.78/0.73 thf(f1176,plain,( 1.78/0.73 (((^[Y0 : $i]: (Y0 = (n_ts @ (ordsucc @ emptyset) @ Y0))) @ sK8) != ((^[Y0 : $i]: ((n_ts @ (ordsucc @ emptyset) @ Y0) = Y0)) @ sK8))), 1.78/0.73 inference(negative_extensionality,[],[f1070])). 1.78/0.73 thf(f1070,plain,( 1.78/0.73 ((^[Y0 : $i]: ((n_ts @ (ordsucc @ emptyset) @ Y0) = Y0)) != (^[Y0 : $i]: (Y0 = (n_ts @ (ordsucc @ emptyset) @ Y0))))), 1.78/0.73 inference(trivial_inequality_removal,[],[f1068])). 1.78/0.73 thf(f1068,plain,( 1.78/0.73 ($false = $true) | ((^[Y0 : $i]: ((n_ts @ (ordsucc @ emptyset) @ Y0) = Y0)) != (^[Y0 : $i]: (Y0 = (n_ts @ (ordsucc @ emptyset) @ Y0))))), 1.78/0.73 inference(constrained_superposition,[],[f927,f986])). 1.78/0.73 thf(f986,plain,( 1.78/0.73 ($false = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (Y0 = (n_ts @ (ordsucc @ emptyset) @ Y0)))))), 1.78/0.73 inference(not_proxy_clausification,[],[f929])). 1.78/0.73 thf(f929,plain,( 1.78/0.73 ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (Y0 = (n_ts @ (ordsucc @ emptyset) @ Y0))))))), 1.78/0.73 inference(beta_eta_normalization,[],[f900])). 1.78/0.73 thf(f900,plain,( 1.78/0.73 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2 = Y3)))))) @ nat @ Y0 @ (n_ts @ (ordsucc @ emptyset) @ Y0))))) = $true)), 1.78/0.73 inference(definition_unfolding,[],[f840,f873,f837])). 1.78/0.73 thf(f837,plain,( 1.78/0.73 ((ordsucc @ emptyset) = n_1)), 1.78/0.73 inference(cnf_transformation,[],[f335])). 1.78/0.73 thf(f335,plain,( 1.78/0.73 ((ordsucc @ emptyset) = n_1)), 1.78/0.73 inference(fool_elimination,[],[f102])). 1.78/0.73 thf(f102,axiom,( 1.78/0.73 ((ordsucc @ emptyset) = n_1)), 1.78/0.73 file('/export/starexec/sandbox/tmp/tmp.bD41ioRPKw/E---3.1_31116.p',def_n_1)). 1.78/0.73 thf(f873,plain,( 1.78/0.73 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))), 1.78/0.73 inference(definition_unfolding,[],[f846,f824])). 1.78/0.73 thf(f824,plain,( 1.78/0.73 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 1.78/0.73 inference(cnf_transformation,[],[f635])). 1.78/0.73 thf(f635,plain,( 1.78/0.73 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 1.78/0.73 inference(fool_elimination,[],[f634])). 1.78/0.73 thf(f634,plain,( 1.78/0.73 ((^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))) = e_is)), 1.78/0.73 inference(rectify,[],[f49])). 1.78/0.73 thf(f49,axiom,( 1.78/0.73 ((^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))) = e_is)), 1.78/0.73 file('/export/starexec/sandbox/tmp/tmp.bD41ioRPKw/E---3.1_31116.p',def_e_is)). 1.78/0.73 thf(f846,plain,( 1.78/0.73 (n_is = (e_is @ nat))), 1.78/0.73 inference(cnf_transformation,[],[f449])). 1.78/0.73 thf(f449,plain,( 1.78/0.73 (n_is = (e_is @ nat))), 1.78/0.73 inference(fool_elimination,[],[f96])). 1.78/0.73 thf(f96,axiom,( 1.78/0.73 (n_is = (e_is @ nat))), 1.78/0.73 file('/export/starexec/sandbox/tmp/tmp.bD41ioRPKw/E---3.1_31116.p',def_n_is)). 1.78/0.73 thf(f840,plain,( 1.78/0.73 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ Y0 @ (n_ts @ n_1 @ Y0))))) = $true)), 1.78/0.73 inference(cnf_transformation,[],[f432])). 1.78/0.73 thf(f432,plain,( 1.78/0.73 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ Y0 @ (n_ts @ n_1 @ Y0))))) = $true)), 1.78/0.73 inference(fool_elimination,[],[f431])). 1.78/0.73 thf(f431,plain,( 1.78/0.73 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (n_is @ X1 @ (n_ts @ n_1 @ X1))))), 1.78/0.73 inference(rectify,[],[f273])). 1.78/0.73 thf(f273,negated_conjecture,( 1.78/0.73 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (n_is @ X0 @ (n_ts @ n_1 @ X0))))), 1.78/0.73 inference(negated_conjecture,[],[f272])). 1.78/0.73 thf(f272,conjecture,( 1.78/0.73 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (n_is @ X0 @ (n_ts @ n_1 @ X0))))), 1.78/0.73 file('/export/starexec/sandbox/tmp/tmp.bD41ioRPKw/E---3.1_31116.p',satz28g)). 1.78/0.73 thf(f927,plain,( 1.78/0.73 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((n_ts @ (ordsucc @ emptyset) @ Y0) = Y0))))), 1.78/0.73 inference(beta_eta_normalization,[],[f877])). 1.78/0.73 thf(f877,plain,( 1.78/0.73 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2 = Y3)))))) @ nat @ (n_ts @ (ordsucc @ emptyset) @ Y0) @ Y0))) = $true)), 1.78/0.73 inference(definition_unfolding,[],[f788,f873,f837])). 1.78/0.73 thf(f788,plain,( 1.78/0.73 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ (n_ts @ n_1 @ Y0) @ Y0))))), 1.78/0.73 inference(cnf_transformation,[],[f575])). 1.78/0.73 thf(f575,plain,( 1.78/0.73 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ (n_ts @ n_1 @ Y0) @ Y0))))), 1.78/0.73 inference(fool_elimination,[],[f574])). 1.78/0.73 thf(f574,plain,( 1.78/0.73 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (n_is @ (n_ts @ n_1 @ X1) @ X1)))), 1.78/0.73 inference(rectify,[],[f244])). 1.78/0.73 thf(f244,axiom,( 1.78/0.73 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (n_is @ (n_ts @ n_1 @ X0) @ X0)))), 1.78/0.73 file('/export/starexec/sandbox/tmp/tmp.bD41ioRPKw/E---3.1_31116.p',satz28c)). 1.78/0.73 thf(f1185,plain,( 1.78/0.73 ((n_ts @ (ordsucc @ emptyset) @ sK8) != sK8)), 1.78/0.73 inference(duplicate_literal_removal,[],[f1184])). 1.78/0.73 thf(f1184,plain,( 1.78/0.73 ((n_ts @ (ordsucc @ emptyset) @ sK8) != sK8) | ((n_ts @ (ordsucc @ emptyset) @ sK8) != sK8)), 1.78/0.73 inference(equality_proxy_clausification,[],[f1183])). 1.78/0.73 thf(f1183,plain,( 1.78/0.73 ((n_ts @ (ordsucc @ emptyset) @ sK8) != sK8) | ($false = (sK8 = (n_ts @ (ordsucc @ emptyset) @ sK8)))), 1.78/0.73 inference(equality_proxy_clausification,[],[f1179])). 1.78/0.73 thf(f1179,plain,( 1.78/0.73 (((n_ts @ (ordsucc @ emptyset) @ sK8) = sK8) = $false) | ($false = (sK8 = (n_ts @ (ordsucc @ emptyset) @ sK8)))), 1.78/0.73 inference(binary_proxy_clausification,[],[f1177])). 1.78/0.73 % SZS output end Proof for E---3.1_31116 1.78/0.73 % (31544)------------------------------ 1.78/0.73 % (31544)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.78/0.73 % (31544)Termination reason: Refutation 1.78/0.73 1.78/0.73 % (31544)Memory used [KB]: 6780 1.78/0.73 % (31544)Time elapsed: 0.074 s 1.78/0.73 % (31544)Instructions burned: 180 (million) 1.78/0.73 % (31544)------------------------------ 1.78/0.73 % (31544)------------------------------ 1.78/0.73 % (31359)Success in time 0.31 s 1.78/0.73 EOF