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 0.12/0.35 % Computer : n018.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 : 1920 0.12/0.35 % WCLimit : 240 0.12/0.35 % DateTime : Wed Jul 30 07:08:49 EDT 2025 0.12/0.35 % CPUTime : 0.12/0.37 This is a THF_ problem 0.12/0.37 Running higher-order theorem proving 0.12/0.40 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.v9u0QUxIw6/E---3.1_21237.p -m 16384 -t 240 0.24/0.42 % (21352)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_21237 for (2399ds/2Mi) 0.24/0.43 % (21350)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_21237 for (2399ds/27Mi) 0.24/0.43 % (21353)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_21237 for (2399ds/275Mi) 0.24/0.43 % (21351)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_21237 for (2399ds/2Mi) 0.24/0.43 % (21354)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_21237 for (2399ds/18Mi) 0.24/0.43 % (21352)Instruction limit reached! 0.24/0.43 % (21352)------------------------------ 0.24/0.43 % (21352)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.43 % (21352)Termination reason: Unknown 0.24/0.43 % (21352)Termination phase: shuffling 0.24/0.43 0.24/0.43 % (21352)Memory used [KB]: 1279 0.24/0.43 % (21352)Time elapsed: 0.004 s 0.24/0.43 % (21352)Instructions burned: 3 (million) 0.24/0.43 % (21352)------------------------------ 0.24/0.43 % (21352)------------------------------ 0.24/0.43 % (21348)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_21237 for (2399ds/183Mi) 0.24/0.43 % (21351)Instruction limit reached! 0.24/0.43 % (21351)------------------------------ 0.24/0.43 % (21351)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.43 % (21351)Termination reason: Unknown 0.24/0.43 % (21351)Termination phase: shuffling 0.24/0.43 0.24/0.43 % (21351)Memory used [KB]: 1279 0.24/0.43 % (21351)Time elapsed: 0.003 s 0.24/0.43 % (21351)Instructions burned: 3 (million) 0.24/0.43 % (21351)------------------------------ 0.24/0.43 % (21351)------------------------------ 0.24/0.43 % (21349)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_21237 for (2399ds/4Mi) 0.24/0.43 % (21349)Instruction limit reached! 0.24/0.43 % (21349)------------------------------ 0.24/0.43 % (21349)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.43 % (21349)Termination reason: Unknown 0.24/0.43 % (21349)Termination phase: shuffling 0.24/0.43 0.24/0.43 % (21349)Memory used [KB]: 1279 0.24/0.43 % (21349)Time elapsed: 0.004 s 0.24/0.43 % (21349)Instructions burned: 4 (million) 0.24/0.43 % (21349)------------------------------ 0.24/0.43 % (21349)------------------------------ 0.24/0.43 % (21354)Instruction limit reached! 0.24/0.43 % (21354)------------------------------ 0.24/0.43 % (21354)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.43 % (21354)Termination reason: Unknown 0.24/0.43 % (21354)Termination phase: Property scanning 0.24/0.43 0.24/0.43 % (21354)Memory used [KB]: 1535 0.24/0.43 % (21354)Time elapsed: 0.010 s 0.24/0.43 % (21354)Instructions burned: 18 (million) 0.24/0.43 % (21354)------------------------------ 0.24/0.43 % (21354)------------------------------ 0.24/0.44 % (21360)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_21237 for (2399ds/3Mi) 0.24/0.44 % (21360)Instruction limit reached! 0.24/0.44 % (21360)------------------------------ 0.24/0.44 % (21360)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.44 % (21360)Termination reason: Unknown 0.24/0.44 % (21360)Termination phase: shuffling 0.24/0.44 0.24/0.44 % (21360)Memory used [KB]: 1279 0.24/0.44 % (21360)Time elapsed: 0.002 s 0.24/0.44 % (21360)Instructions burned: 3 (million) 0.24/0.44 % (21360)------------------------------ 0.24/0.44 % (21360)------------------------------ 0.24/0.44 % (21350)Instruction limit reached! 0.24/0.44 % (21350)------------------------------ 0.24/0.44 % (21350)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.44 % (21350)Termination reason: Unknown 0.24/0.44 % (21350)Termination phase: Preprocessing 3 0.24/0.44 0.24/0.44 % (21350)Memory used [KB]: 1535 0.24/0.44 % (21350)Time elapsed: 0.014 s 0.24/0.44 % (21350)Instructions burned: 27 (million) 0.24/0.44 % (21350)------------------------------ 0.24/0.44 % (21350)------------------------------ 0.24/0.44 % (21353)Refutation not found, incomplete strategy 0.24/0.44 % (21353)------------------------------ 0.24/0.44 % (21353)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.44 % (21353)Termination reason: Refutation not found, incomplete strategy 0.24/0.44 0.24/0.44 0.24/0.44 % (21353)Memory used [KB]: 6012 0.24/0.44 % (21353)Time elapsed: 0.016 s 0.24/0.44 % (21353)Instructions burned: 31 (million) 0.24/0.44 % (21353)------------------------------ 0.24/0.44 % (21353)------------------------------ 0.24/0.44 % (21361)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_21237 for (2399ds/37Mi) 0.24/0.44 % (21364)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_21237 for (2399ds/1041Mi) 0.24/0.45 % (21362)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_21237 for (2399ds/15Mi) 0.24/0.45 % (21363)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_21237 for (2399ds/3Mi) 0.24/0.45 % (21363)Instruction limit reached! 0.24/0.45 % (21363)------------------------------ 0.24/0.45 % (21363)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.45 % (21363)Termination reason: Unknown 0.24/0.45 % (21363)Termination phase: shuffling 0.24/0.45 0.24/0.45 % (21363)Memory used [KB]: 1279 0.24/0.45 % (21363)Time elapsed: 0.003 s 0.24/0.45 % (21363)Instructions burned: 3 (million) 0.24/0.45 % (21363)------------------------------ 0.24/0.45 % (21363)------------------------------ 0.24/0.45 % (21366)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_21237 for (2399ds/16Mi) 0.24/0.46 % (21361)Instruction limit reached! 0.24/0.46 % (21361)------------------------------ 0.24/0.46 % (21361)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.46 % (21361)Termination reason: Unknown 0.24/0.46 % (21361)Termination phase: Property scanning 0.24/0.46 0.24/0.46 % (21361)Memory used [KB]: 1535 0.24/0.46 % (21361)Time elapsed: 0.018 s 0.24/0.46 % (21361)Instructions burned: 39 (million) 0.24/0.46 % (21361)------------------------------ 0.24/0.46 % (21361)------------------------------ 0.24/0.46 % (21362)Instruction limit reached! 0.24/0.46 % (21362)------------------------------ 0.24/0.46 % (21362)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.46 % (21362)Termination reason: Unknown 0.24/0.46 % (21362)Termination phase: shuffling 0.24/0.46 0.24/0.46 % (21362)Memory used [KB]: 1535 0.24/0.46 % (21362)Time elapsed: 0.011 s 0.24/0.46 % (21362)Instructions burned: 16 (million) 0.24/0.46 % (21362)------------------------------ 0.24/0.46 % (21362)------------------------------ 0.24/0.46 % (21365)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_21237 for (2399ds/7Mi) 0.24/0.46 % (21366)Instruction limit reached! 0.24/0.46 % (21366)------------------------------ 0.24/0.46 % (21366)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.46 % (21366)Termination reason: Unknown 0.24/0.46 % (21366)Termination phase: Property scanning 0.24/0.46 0.24/0.46 % (21366)Memory used [KB]: 1535 0.24/0.46 % (21366)Time elapsed: 0.009 s 0.24/0.46 % (21366)Instructions burned: 17 (million) 0.24/0.46 % (21366)------------------------------ 0.24/0.46 % (21366)------------------------------ 0.24/0.46 % (21365)Instruction limit reached! 0.24/0.46 % (21365)------------------------------ 0.24/0.46 % (21365)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.46 % (21365)Termination reason: Unknown 0.24/0.46 % (21365)Termination phase: shuffling 0.24/0.46 0.24/0.46 % (21365)Memory used [KB]: 1407 0.24/0.46 % (21365)Time elapsed: 0.005 s 0.24/0.46 % (21365)Instructions burned: 10 (million) 0.24/0.46 % (21365)------------------------------ 0.24/0.46 % (21365)------------------------------ 0.24/0.47 % (21367)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_21237 for (2399ds/3Mi) 0.24/0.47 % (21367)Instruction limit reached! 0.24/0.47 % (21367)------------------------------ 0.24/0.47 % (21367)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.47 % (21367)Termination reason: Unknown 0.24/0.47 % (21367)Termination phase: shuffling 0.24/0.47 0.24/0.47 % (21367)Memory used [KB]: 1279 0.24/0.47 % (21367)Time elapsed: 0.003 s 0.24/0.47 % (21367)Instructions burned: 3 (million) 0.24/0.47 % (21367)------------------------------ 0.24/0.47 % (21367)------------------------------ 0.24/0.47 % (21369)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_21237 for (2399ds/7Mi) 0.24/0.47 % (21369)Instruction limit reached! 0.24/0.47 % (21369)------------------------------ 0.24/0.47 % (21369)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.47 % (21369)Termination reason: Unknown 0.24/0.47 % (21369)Termination phase: shuffling 0.24/0.47 0.24/0.47 % (21369)Memory used [KB]: 1279 0.24/0.47 % (21369)Time elapsed: 0.005 s 0.24/0.47 % (21369)Instructions burned: 7 (million) 0.24/0.47 % (21369)------------------------------ 0.24/0.47 % (21369)------------------------------ 0.24/0.47 % (21371)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_21237 for (2399ds/4Mi) 0.24/0.47 % (21370)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_21237 for (2399ds/3Mi) 0.24/0.47 % (21371)Instruction limit reached! 0.24/0.47 % (21371)------------------------------ 0.24/0.47 % (21371)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.47 % (21371)Termination reason: Unknown 0.24/0.47 % (21371)Termination phase: shuffling 0.24/0.47 0.24/0.47 % (21371)Memory used [KB]: 1279 0.24/0.47 % (21371)Time elapsed: 0.003 s 0.24/0.47 % (21371)Instructions burned: 7 (million) 0.24/0.47 % (21371)------------------------------ 0.24/0.47 % (21371)------------------------------ 0.24/0.48 % (21370)Instruction limit reached! 0.24/0.48 % (21370)------------------------------ 0.24/0.48 % (21370)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.48 % (21370)Termination reason: Unknown 0.24/0.48 % (21370)Termination phase: shuffling 0.24/0.48 0.24/0.48 % (21370)Memory used [KB]: 1279 0.24/0.48 % (21370)Time elapsed: 0.003 s 0.24/0.48 % (21370)Instructions burned: 3 (million) 0.24/0.48 % (21370)------------------------------ 0.24/0.48 % (21370)------------------------------ 0.24/0.48 % (21372)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_21237 for (2399ds/18Mi) 0.24/0.48 % (21368)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_21237 for (2399ds/3Mi) 0.24/0.48 % (21374)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_21237 for (2399ds/6Mi) 0.24/0.48 % (21368)Instruction limit reached! 0.24/0.48 % (21368)------------------------------ 0.24/0.48 % (21368)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.48 % (21368)Termination reason: Unknown 0.24/0.48 % (21368)Termination phase: shuffling 0.24/0.48 0.24/0.48 % (21368)Memory used [KB]: 1279 0.24/0.48 % (21368)Time elapsed: 0.003 s 0.24/0.48 % (21368)Instructions burned: 3 (million) 0.24/0.48 % (21368)------------------------------ 0.24/0.48 % (21368)------------------------------ 0.24/0.48 % (21374)Instruction limit reached! 0.24/0.48 % (21374)------------------------------ 0.24/0.48 % (21374)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.48 % (21374)Termination reason: Unknown 0.24/0.48 % (21374)Termination phase: shuffling 0.24/0.48 0.24/0.48 % (21374)Memory used [KB]: 1279 0.24/0.48 % (21374)Time elapsed: 0.003 s 0.24/0.48 % (21374)Instructions burned: 7 (million) 0.24/0.48 % (21374)------------------------------ 0.24/0.48 % (21374)------------------------------ 0.24/0.48 % (21373)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_21237 for (2399ds/710Mi) 0.24/0.49 % (21372)Instruction limit reached! 0.24/0.49 % (21372)------------------------------ 0.24/0.49 % (21372)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.49 % (21372)Termination reason: Unknown 0.24/0.49 % (21372)Termination phase: Property scanning 0.24/0.49 0.24/0.49 % (21372)Memory used [KB]: 1535 0.24/0.49 % (21372)Time elapsed: 0.011 s 0.24/0.49 % (21372)Instructions burned: 20 (million) 0.24/0.49 % (21372)------------------------------ 0.24/0.49 % (21372)------------------------------ 0.24/0.49 % (21375)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_21237 for (2399ds/902Mi) 0.24/0.50 % (21377)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_21237 for (2399ds/5Mi) 0.24/0.50 % (21376)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_21237 for (2399ds/21Mi) 0.24/0.50 % (21377)Instruction limit reached! 0.24/0.50 % (21377)------------------------------ 0.24/0.50 % (21377)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.50 % (21377)Termination reason: Unknown 0.24/0.50 % (21377)Termination phase: shuffling 0.24/0.50 0.24/0.50 % (21377)Memory used [KB]: 1279 0.24/0.50 % (21377)Time elapsed: 0.004 s 0.24/0.50 % (21377)Instructions burned: 6 (million) 0.24/0.50 % (21377)------------------------------ 0.24/0.50 % (21377)------------------------------ 0.24/0.50 % (21348)Instruction limit reached! 0.24/0.50 % (21348)------------------------------ 0.24/0.50 % (21348)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.50 % (21348)Termination reason: Unknown 0.24/0.50 % (21348)Termination phase: Property scanning 0.24/0.50 0.24/0.50 % (21348)Memory used [KB]: 1663 0.24/0.50 % (21348)Time elapsed: 0.079 s 0.24/0.50 % (21348)Instructions burned: 186 (million) 0.24/0.50 % (21348)------------------------------ 0.24/0.50 % (21348)------------------------------ 0.24/0.50 % (21380)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_21237 for (2399ds/6Mi) 0.24/0.51 % (21380)Instruction limit reached! 0.24/0.51 % (21380)------------------------------ 0.24/0.51 % (21380)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.51 % (21380)Termination reason: Unknown 0.24/0.51 % (21380)Termination phase: shuffling 0.24/0.51 0.24/0.51 % (21380)Memory used [KB]: 1279 0.24/0.51 % (21380)Time elapsed: 0.005 s 0.24/0.51 % (21380)Instructions burned: 6 (million) 0.24/0.51 % (21380)------------------------------ 0.24/0.51 % (21380)------------------------------ 0.24/0.51 % (21376)Instruction limit reached! 0.24/0.51 % (21376)------------------------------ 0.24/0.51 % (21376)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.51 % (21376)Termination reason: Unknown 0.24/0.51 % (21376)Termination phase: Property scanning 0.24/0.51 0.24/0.51 % (21376)Memory used [KB]: 1535 0.24/0.51 % (21376)Time elapsed: 0.012 s 0.24/0.51 % (21376)Instructions burned: 23 (million) 0.24/0.51 % (21376)------------------------------ 0.24/0.51 % (21376)------------------------------ 0.24/0.51 % (21387)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_21237 for (2399ds/377Mi) 0.24/0.51 % (21388)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_21237 for (2399ds/779Mi) 0.24/0.51 % (21375)Refutation not found, incomplete strategy 0.24/0.51 % (21375)------------------------------ 0.24/0.51 % (21375)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.51 % (21375)Termination reason: Refutation not found, incomplete strategy 0.24/0.51 0.24/0.51 0.24/0.51 % (21375)Memory used [KB]: 6268 0.24/0.51 % (21375)Time elapsed: 0.023 s 0.24/0.51 % (21375)Instructions burned: 56 (million) 0.24/0.51 % (21375)------------------------------ 0.24/0.51 % (21375)------------------------------ 0.24/0.52 % (21389)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_21237 for (2399ds/19Mi) 0.24/0.52 % (21389)Instruction limit reached! 0.24/0.52 % (21389)------------------------------ 0.24/0.52 % (21389)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.52 % (21389)Termination reason: Unknown 0.24/0.52 % (21389)Termination phase: Property scanning 0.24/0.52 0.24/0.52 % (21389)Memory used [KB]: 1535 0.24/0.52 % (21389)Time elapsed: 0.007 s 0.24/0.52 % (21389)Instructions burned: 22 (million) 0.24/0.52 % (21389)------------------------------ 0.24/0.52 % (21389)------------------------------ 0.24/0.52 % (21390)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_21237 for (2399ds/879Mi) 0.24/0.52 % (21391)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_21237 for (2398ds/17Mi) 0.24/0.53 % (21391)Instruction limit reached! 0.24/0.53 % (21391)------------------------------ 0.24/0.53 % (21391)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.53 % (21391)Termination reason: Unknown 0.24/0.53 % (21391)Termination phase: Property scanning 0.24/0.53 0.24/0.53 % (21391)Memory used [KB]: 1535 0.24/0.53 % (21391)Time elapsed: 0.007 s 0.24/0.53 % (21391)Instructions burned: 17 (million) 0.24/0.53 % (21391)------------------------------ 0.24/0.53 % (21391)------------------------------ 0.24/0.53 % (21392)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_21237 for (2398ds/3Mi) 0.24/0.53 % (21392)Instruction limit reached! 0.24/0.53 % (21392)------------------------------ 0.24/0.53 % (21392)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.53 % (21392)Termination reason: Unknown 0.24/0.53 % (21392)Termination phase: shuffling 0.24/0.53 0.24/0.53 % (21392)Memory used [KB]: 1279 0.24/0.53 % (21392)Time elapsed: 0.002 s 0.24/0.53 % (21392)Instructions burned: 3 (million) 0.24/0.53 % (21392)------------------------------ 0.24/0.53 % (21392)------------------------------ 0.24/0.54 % (21393)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_21237 for (2398ds/30Mi) 0.24/0.54 % (21394)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_21237 for (2398ds/127Mi) 0.24/0.55 % (21393)Instruction limit reached! 0.24/0.55 % (21393)------------------------------ 0.24/0.55 % (21393)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.55 % (21393)Termination reason: Unknown 0.24/0.55 % (21393)Termination phase: Property scanning 0.24/0.55 0.24/0.55 % (21393)Memory used [KB]: 1535 0.24/0.55 % (21393)Time elapsed: 0.011 s 0.24/0.55 % (21393)Instructions burned: 30 (million) 0.24/0.55 % (21393)------------------------------ 0.24/0.55 % (21393)------------------------------ 0.24/0.56 % (21395)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_21237 for (2398ds/100Mi) 0.24/0.57 % (21394)Instruction limit reached! 0.24/0.57 % (21394)------------------------------ 0.24/0.57 % (21394)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.57 % (21394)Termination reason: Unknown 0.24/0.57 % (21394)Termination phase: Equality resolution with deletion 0.24/0.57 0.24/0.57 % (21394)Memory used [KB]: 1663 0.24/0.57 % (21394)Time elapsed: 0.032 s 0.24/0.57 % (21394)Instructions burned: 129 (million) 0.24/0.57 % (21394)------------------------------ 0.24/0.57 % (21394)------------------------------ 0.24/0.57 % (21388)First to succeed. 0.24/0.58 % (21388)Refutation found. Thanks to Tanya! 0.24/0.58 % SZS status Theorem for E---3.1_21237 0.24/0.58 % SZS output start Proof for E---3.1_21237 0.24/0.58 thf(func_def_0, type, is_of: $i > ($i > $o) > $o). 0.24/0.58 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o). 0.24/0.58 thf(func_def_3, type, eps: ($i > $o) > $i). 0.24/0.58 thf(func_def_4, type, in: $i > $i > $o). 0.24/0.58 thf(func_def_5, type, d_Subq: $i > $i > $o). 0.24/0.58 thf(func_def_7, type, union: $i > $i). 0.24/0.58 thf(func_def_8, type, power: $i > $i). 0.24/0.58 thf(func_def_9, type, repl: $i > ($i > $i) > $i). 0.24/0.58 thf(func_def_10, type, d_Union_closed: $i > $o). 0.24/0.58 thf(func_def_11, type, d_Power_closed: $i > $o). 0.24/0.58 thf(func_def_12, type, d_Repl_closed: $i > $o). 0.24/0.58 thf(func_def_13, type, d_ZF_closed: $i > $o). 0.24/0.58 thf(func_def_14, type, univof: $i > $i). 0.24/0.58 thf(func_def_15, type, if: $o > $i > $i > $i). 0.24/0.58 thf(func_def_16, type, nIn: $i > $i > $o). 0.24/0.58 thf(func_def_17, type, d_UPair: $i > $i > $i). 0.24/0.58 thf(func_def_18, type, d_Sing: $i > $i). 0.24/0.58 thf(func_def_19, type, binunion: $i > $i > $i). 0.24/0.58 thf(func_def_20, type, famunion: $i > ($i > $i) > $i). 0.24/0.58 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i). 0.24/0.58 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i). 0.24/0.58 thf(func_def_23, type, setminus: $i > $i > $i). 0.24/0.58 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o). 0.24/0.58 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i). 0.24/0.58 thf(func_def_26, type, ordsucc: $i > $i). 0.24/0.58 thf(func_def_27, type, nat_p: $i > $o). 0.24/0.58 thf(func_def_29, type, d_Inj1: $i > $i). 0.24/0.58 thf(func_def_30, type, d_Inj0: $i > $i). 0.24/0.58 thf(func_def_31, type, d_Unj: $i > $i). 0.24/0.58 thf(func_def_32, type, pair: $i > $i > $i). 0.24/0.58 thf(func_def_33, type, proj0: $i > $i). 0.24/0.58 thf(func_def_34, type, proj1: $i > $i). 0.24/0.58 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i). 0.24/0.58 thf(func_def_36, type, setprod: $i > $i > $i). 0.24/0.58 thf(func_def_37, type, ap: $i > $i > $i). 0.24/0.58 thf(func_def_38, type, pair_p: $i > $o). 0.24/0.58 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i). 0.24/0.58 thf(func_def_40, type, imp: $o > $o > $o). 0.24/0.58 thf(func_def_41, type, d_not: $o > $o). 0.24/0.58 thf(func_def_42, type, wel: $o > $o). 0.24/0.58 thf(func_def_44, type, l_ec: $o > $o > $o). 0.24/0.58 thf(func_def_45, type, d_and: $o > $o > $o). 0.24/0.58 thf(func_def_46, type, l_or: $o > $o > $o). 0.24/0.58 thf(func_def_47, type, orec: $o > $o > $o). 0.24/0.58 thf(func_def_48, type, l_iff: $o > $o > $o). 0.24/0.58 thf(func_def_49, type, all: $i > ($i > $o) > $o). 0.24/0.58 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o). 0.24/0.58 thf(func_def_51, type, l_some: $i > ($i > $o) > $o). 0.24/0.58 thf(func_def_52, type, or3: $o > $o > $o > $o). 0.24/0.58 thf(func_def_53, type, and3: $o > $o > $o > $o). 0.24/0.58 thf(func_def_54, type, ec3: $o > $o > $o > $o). 0.24/0.58 thf(func_def_55, type, orec3: $o > $o > $o > $o). 0.24/0.58 thf(func_def_56, type, e_is: $i > $i > $i > $o). 0.24/0.58 thf(func_def_57, type, amone: $i > ($i > $o) > $o). 0.24/0.58 thf(func_def_58, type, one: $i > ($i > $o) > $o). 0.24/0.58 thf(func_def_59, type, ind: $i > ($i > $o) > $i). 0.24/0.58 thf(func_def_60, type, injective: $i > $i > $i > $o). 0.24/0.58 thf(func_def_61, type, image: $i > $i > $i > $i > $o). 0.24/0.58 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i). 0.24/0.58 thf(func_def_63, type, soft: $i > $i > $i > $i > $i). 0.24/0.58 thf(func_def_64, type, inverse: $i > $i > $i > $i). 0.24/0.58 thf(func_def_65, type, surjective: $i > $i > $i > $o). 0.24/0.58 thf(func_def_66, type, bijective: $i > $i > $i > $o). 0.24/0.58 thf(func_def_67, type, invf: $i > $i > $i > $i). 0.24/0.58 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i). 0.24/0.58 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i). 0.24/0.58 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i). 0.24/0.58 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i). 0.24/0.58 thf(func_def_72, type, first: $i > $i > $i > $i). 0.24/0.58 thf(func_def_73, type, second: $i > $i > $i > $i). 0.24/0.58 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o). 0.24/0.58 thf(func_def_75, type, ite: $o > $i > $i > $i > $i). 0.24/0.58 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i). 0.24/0.58 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i). 0.24/0.58 thf(func_def_78, type, wissel: $i > $i > $i > $i). 0.24/0.58 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i). 0.24/0.58 thf(func_def_80, type, r_ec: $o > $o > $o). 0.24/0.58 thf(func_def_81, type, esti: $i > $i > $i > $o). 0.24/0.58 thf(func_def_82, type, empty: $i > $i > $o). 0.24/0.58 thf(func_def_83, type, nonempty: $i > $i > $o). 0.24/0.58 thf(func_def_84, type, incl: $i > $i > $i > $o). 0.24/0.58 thf(func_def_85, type, st_disj: $i > $i > $i > $o). 0.24/0.58 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o). 0.24/0.58 thf(func_def_87, type, unmore: $i > $i > $i > $i). 0.24/0.58 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i). 0.24/0.58 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o). 0.24/0.58 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o). 0.24/0.58 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i). 0.24/0.58 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i). 0.24/0.58 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i). 0.24/0.58 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i). 0.24/0.58 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o). 0.24/0.58 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o). 0.24/0.58 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o). 0.24/0.58 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i). 0.24/0.58 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o). 0.24/0.58 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i). 0.24/0.58 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i). 0.24/0.58 thf(func_def_103, type, n_is: $i > $i > $o). 0.24/0.58 thf(func_def_104, type, nis: $i > $i > $o). 0.24/0.58 thf(func_def_105, type, n_in: $i > $i > $o). 0.24/0.58 thf(func_def_106, type, n_some: ($i > $o) > $o). 0.24/0.58 thf(func_def_107, type, n_all: ($i > $o) > $o). 0.24/0.58 thf(func_def_108, type, n_one: ($i > $o) > $o). 0.24/0.58 thf(func_def_110, type, cond1: $i > $o). 0.24/0.58 thf(func_def_111, type, cond2: $i > $o). 0.24/0.58 thf(func_def_112, type, i1_s: ($i > $o) > $i). 0.24/0.58 thf(func_def_113, type, d_22_prop1: $i > $o). 0.24/0.58 thf(func_def_114, type, d_23_prop1: $i > $o). 0.24/0.58 thf(func_def_115, type, d_24_prop1: $i > $o). 0.24/0.58 thf(func_def_116, type, d_24_prop2: $i > $i > $o). 0.24/0.58 thf(func_def_117, type, prop3: $i > $i > $i > $o). 0.24/0.58 thf(func_def_118, type, prop4: $i > $o). 0.24/0.58 thf(func_def_119, type, d_24_g: $i > $i). 0.24/0.58 thf(func_def_120, type, plus: $i > $i). 0.24/0.58 thf(func_def_121, type, n_pl: $i > $i > $i). 0.24/0.58 thf(func_def_142, type, sK1: $i > ($i > $i) > ($i > $i) > $i). 0.24/0.58 thf(func_def_143, type, sK2: ($i > $o) > $i). 0.24/0.58 thf(func_def_144, type, ph3: !>[X0: $tType]:(X0)). 0.24/0.58 thf(f1085,plain,( 0.24/0.58 $false), 0.24/0.58 inference(trivial_inequality_removal,[],[f1082])). 0.24/0.58 thf(f1082,plain,( 0.24/0.58 ($true = $false)), 0.24/0.58 inference(backward_demodulation,[],[f675,f1049])). 0.24/0.58 thf(f1049,plain,( 0.24/0.58 ((in @ (sK1 @ nat @ ordsucc @ (n_pl @ (ordsucc @ emptyset))) @ nat) = $false)), 0.24/0.58 inference(trivial_inequality_removal,[],[f1047])). 0.24/0.58 thf(f1047,plain,( 0.24/0.58 ((ordsucc @ (sK1 @ nat @ ordsucc @ (n_pl @ (ordsucc @ emptyset)))) != (ordsucc @ (sK1 @ nat @ ordsucc @ (n_pl @ (ordsucc @ emptyset))))) | ((in @ (sK1 @ nat @ ordsucc @ (n_pl @ (ordsucc @ emptyset))) @ nat) = $false)), 0.24/0.58 inference(superposition,[],[f676,f650])). 0.24/0.58 thf(f650,plain,( 0.24/0.58 ( ! [X1 : $i] : (((ordsucc @ X1) = (n_pl @ (ordsucc @ emptyset) @ X1)) | ((in @ X1 @ nat) = $false)) )), 0.24/0.58 inference(equality_proxy_clausification,[],[f649])). 0.24/0.58 thf(f649,plain,( 0.24/0.58 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((n_pl @ (ordsucc @ emptyset) @ X1) = (ordsucc @ X1)))) )), 0.24/0.58 inference(binary_proxy_clausification,[],[f648])). 0.24/0.58 thf(f648,plain,( 0.24/0.58 ( ! [X1 : $i] : ((((in @ X1 @ nat) => ((n_pl @ (ordsucc @ emptyset) @ X1) = (ordsucc @ X1))) = $true)) )), 0.24/0.58 inference(beta_eta_normalization,[],[f647])). 0.24/0.58 thf(f647,plain,( 0.24/0.58 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ (ordsucc @ emptyset) @ Y0) = (ordsucc @ Y0)))) @ X1))) )), 0.24/0.58 inference(pi_clausification,[],[f546])). 0.24/0.58 thf(f546,plain,( 0.24/0.58 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ (ordsucc @ emptyset) @ Y0) = (ordsucc @ Y0))))))), 0.24/0.58 inference(beta_eta_normalization,[],[f523])). 0.24/0.58 thf(f523,plain,( 0.24/0.58 ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2 = Y3)))))) @ nat @ (n_pl @ (ordsucc @ emptyset) @ Y0) @ (ordsucc @ Y0)))))), 0.24/0.58 inference(definition_unfolding,[],[f488,f519,f520,f497])). 0.24/0.58 thf(f497,plain,( 0.24/0.58 ((ordsucc @ emptyset) = n_1)), 0.24/0.58 inference(cnf_transformation,[],[f402])). 0.24/0.58 thf(f402,plain,( 0.24/0.58 ((ordsucc @ emptyset) = n_1)), 0.24/0.58 inference(fool_elimination,[],[f102])). 0.24/0.58 thf(f102,axiom,( 0.24/0.58 ((ordsucc @ emptyset) = n_1)), 0.24/0.58 file('/export/starexec/sandbox2/tmp/tmp.v9u0QUxIw6/E---3.1_21237.p',def_n_1)). 0.24/0.58 thf(f520,plain,( 0.24/0.58 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))), 0.24/0.58 inference(definition_unfolding,[],[f504,f509])). 0.24/0.58 thf(f509,plain,( 0.24/0.58 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 0.24/0.58 inference(cnf_transformation,[],[f265])). 0.24/0.58 thf(f265,plain,( 0.24/0.58 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 0.24/0.58 inference(fool_elimination,[],[f264])). 0.24/0.58 thf(f264,plain,( 0.24/0.58 ((^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))) = e_is)), 0.24/0.58 inference(rectify,[],[f49])). 0.24/0.58 thf(f49,axiom,( 0.24/0.58 ((^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))) = e_is)), 0.24/0.58 file('/export/starexec/sandbox2/tmp/tmp.v9u0QUxIw6/E---3.1_21237.p',def_e_is)). 0.24/0.58 thf(f504,plain,( 0.24/0.58 (n_is = (e_is @ nat))), 0.24/0.58 inference(cnf_transformation,[],[f420])). 0.24/0.58 thf(f420,plain,( 0.24/0.58 (n_is = (e_is @ nat))), 0.24/0.58 inference(fool_elimination,[],[f96])). 0.24/0.58 thf(f96,axiom,( 0.24/0.58 (n_is = (e_is @ nat))), 0.24/0.58 file('/export/starexec/sandbox2/tmp/tmp.v9u0QUxIw6/E---3.1_21237.p',def_n_is)). 0.24/0.58 thf(f519,plain,( 0.24/0.58 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))), 0.24/0.58 inference(definition_unfolding,[],[f508,f498])). 0.24/0.58 thf(f498,plain,( 0.24/0.58 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))), 0.24/0.58 inference(cnf_transformation,[],[f477])). 0.24/0.58 thf(f477,plain,( 0.24/0.58 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))), 0.24/0.58 inference(fool_elimination,[],[f1])). 0.24/0.58 thf(f1,axiom,( 0.24/0.58 ((^[X0 : $i, X1 : $i > $o] : (X1 @ X0)) = is_of)), 0.24/0.58 file('/export/starexec/sandbox2/tmp/tmp.v9u0QUxIw6/E---3.1_21237.p',def_is_of)). 0.24/0.58 thf(f508,plain,( 0.24/0.58 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 0.24/0.58 inference(cnf_transformation,[],[f413])). 0.24/0.58 thf(f413,plain,( 0.24/0.58 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 0.24/0.58 inference(fool_elimination,[],[f412])). 0.24/0.58 thf(f412,plain,( 0.24/0.58 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)), 0.24/0.58 inference(rectify,[],[f2])). 0.24/0.58 thf(f2,axiom,( 0.24/0.58 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)), 0.24/0.58 file('/export/starexec/sandbox2/tmp/tmp.v9u0QUxIw6/E---3.1_21237.p',def_all_of)). 0.24/0.58 thf(f488,plain,( 0.24/0.58 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ (n_pl @ n_1 @ Y0) @ (ordsucc @ Y0)))))), 0.24/0.58 inference(cnf_transformation,[],[f197])). 0.24/0.58 thf(f197,plain,( 0.24/0.58 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ (n_pl @ n_1 @ Y0) @ (ordsucc @ Y0)))))), 0.24/0.58 inference(fool_elimination,[],[f196])). 0.24/0.58 thf(f196,plain,( 0.24/0.58 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (n_is @ (n_pl @ n_1 @ X1) @ (ordsucc @ X1))))), 0.24/0.58 inference(rectify,[],[f186])). 0.24/0.58 thf(f186,axiom,( 0.24/0.58 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (n_is @ (n_pl @ n_1 @ X0) @ (ordsucc @ X0))))), 0.24/0.58 file('/export/starexec/sandbox2/tmp/tmp.v9u0QUxIw6/E---3.1_21237.p',satz4c)). 0.24/0.58 thf(f676,plain,( 0.24/0.58 ((n_pl @ (ordsucc @ emptyset) @ (sK1 @ nat @ ordsucc @ (n_pl @ (ordsucc @ emptyset)))) != (ordsucc @ (sK1 @ nat @ ordsucc @ (n_pl @ (ordsucc @ emptyset)))))), 0.24/0.58 inference(equality_proxy_clausification,[],[f674])). 0.24/0.58 thf(f674,plain,( 0.24/0.58 ($false = ((ordsucc @ (sK1 @ nat @ ordsucc @ (n_pl @ (ordsucc @ emptyset)))) = (n_pl @ (ordsucc @ emptyset) @ (sK1 @ nat @ ordsucc @ (n_pl @ (ordsucc @ emptyset))))))), 0.24/0.58 inference(binary_proxy_clausification,[],[f673])). 0.24/0.58 thf(f673,plain,( 0.24/0.58 (((in @ (sK1 @ nat @ ordsucc @ (n_pl @ (ordsucc @ emptyset))) @ nat) => ((ordsucc @ (sK1 @ nat @ ordsucc @ (n_pl @ (ordsucc @ emptyset)))) = (n_pl @ (ordsucc @ emptyset) @ (sK1 @ nat @ ordsucc @ (n_pl @ (ordsucc @ emptyset)))))) = $false)), 0.24/0.58 inference(beta_eta_normalization,[],[f672])). 0.24/0.58 thf(f672,plain,( 0.24/0.58 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => ((ordsucc @ Y0) = (n_pl @ (ordsucc @ emptyset) @ Y0)))) @ (sK1 @ nat @ ordsucc @ (n_pl @ (ordsucc @ emptyset)))))), 0.24/0.58 inference(sigma_clausification,[],[f671])). 0.24/0.58 thf(f671,plain,( 0.24/0.58 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((ordsucc @ Y0) = (n_pl @ (ordsucc @ emptyset) @ Y0))))))), 0.24/0.58 inference(not_proxy_clausification,[],[f542])). 0.24/0.58 thf(f542,plain,( 0.24/0.58 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((ordsucc @ Y0) = (n_pl @ (ordsucc @ emptyset) @ Y0)))))))), 0.24/0.58 inference(beta_eta_normalization,[],[f531])). 0.24/0.58 thf(f531,plain,( 0.24/0.58 ($true = (~ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2 = Y3)))))) @ nat @ (ordsucc @ Y0) @ (n_pl @ (ordsucc @ emptyset) @ Y0))))))), 0.24/0.58 inference(definition_unfolding,[],[f510,f519,f520,f497])). 0.24/0.58 thf(f510,plain,( 0.24/0.58 ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ (ordsucc @ Y0) @ (n_pl @ n_1 @ Y0))))))), 0.24/0.58 inference(cnf_transformation,[],[f363])). 0.24/0.58 thf(f363,plain,( 0.24/0.58 ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ (ordsucc @ Y0) @ (n_pl @ n_1 @ Y0))))))), 0.24/0.58 inference(fool_elimination,[],[f362])). 0.24/0.58 thf(f362,plain,( 0.24/0.58 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (n_is @ (ordsucc @ X1) @ (n_pl @ n_1 @ X1))))), 0.24/0.58 inference(rectify,[],[f192])). 0.24/0.58 thf(f192,negated_conjecture,( 0.24/0.58 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (n_is @ (ordsucc @ X0) @ (n_pl @ n_1 @ X0))))), 0.24/0.58 inference(negated_conjecture,[],[f191])). 0.24/0.58 thf(f191,conjecture,( 0.24/0.58 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (n_is @ (ordsucc @ X0) @ (n_pl @ n_1 @ X0))))), 0.24/0.58 file('/export/starexec/sandbox2/tmp/tmp.v9u0QUxIw6/E---3.1_21237.p',satz4g)). 0.24/0.58 thf(f675,plain,( 0.24/0.58 ($true = (in @ (sK1 @ nat @ ordsucc @ (n_pl @ (ordsucc @ emptyset))) @ nat))), 0.24/0.58 inference(binary_proxy_clausification,[],[f673])). 0.24/0.58 % SZS output end Proof for E---3.1_21237 0.24/0.58 % (21388)------------------------------ 0.24/0.58 % (21388)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.58 % (21388)Termination reason: Refutation 0.24/0.58 0.24/0.58 % (21388)Memory used [KB]: 6652 0.24/0.58 % (21388)Time elapsed: 0.064 s 0.24/0.58 % (21388)Instructions burned: 146 (million) 0.24/0.58 % (21388)------------------------------ 0.24/0.58 % (21388)------------------------------ 0.24/0.58 % (21344)Success in time 0.161 s 0.24/0.58 EOF