0.03/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_vampire %s %d THM 0.13/0.34 % Computer : n017.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1440 0.13/0.34 % WCLimit : 180 0.13/0.34 % DateTime : Thu Jul 4 09:49:39 EDT 2024 0.13/0.35 % CPUTime : 0.13/0.36 This is a THF_ problem 0.13/0.37 Running higher-order theorem proving 0.22/0.39 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.kassOtpRSg/E---3.1_22851.p -m 16384 -t 180 0.22/0.43 % (22959)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_22851 for (1799ds/183Mi) 0.22/0.43 % (22960)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_22851 for (1799ds/4Mi) 0.22/0.43 % (22962)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_22851 for (1799ds/2Mi) 0.22/0.43 % (22961)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_22851 for (1799ds/27Mi) 0.22/0.43 % (22963)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_22851 for (1799ds/2Mi) 0.22/0.43 % (22964)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_22851 for (1799ds/275Mi) 0.22/0.43 % (22965)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_22851 for (1799ds/18Mi) 0.22/0.43 % (22962)Instruction limit reached! 0.22/0.43 % (22962)------------------------------ 0.22/0.43 % (22962)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.43 % (22962)Termination reason: Unknown 0.22/0.43 % (22962)Termination phase: shuffling 0.22/0.43 0.22/0.43 % (22962)Memory used [KB]: 1279 0.22/0.43 % (22962)Time elapsed: 0.004 s 0.22/0.43 % (22962)Instructions burned: 2 (million) 0.22/0.43 % (22962)------------------------------ 0.22/0.43 % (22962)------------------------------ 0.22/0.43 % (22963)Instruction limit reached! 0.22/0.43 % (22963)------------------------------ 0.22/0.43 % (22963)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.43 % (22963)Termination reason: Unknown 0.22/0.43 % (22963)Termination phase: shuffling 0.22/0.43 0.22/0.43 % (22963)Memory used [KB]: 1279 0.22/0.43 % (22963)Time elapsed: 0.004 s 0.22/0.43 % (22963)Instructions burned: 2 (million) 0.22/0.43 % (22963)------------------------------ 0.22/0.43 % (22963)------------------------------ 0.22/0.43 % (22960)Instruction limit reached! 0.22/0.43 % (22960)------------------------------ 0.22/0.43 % (22960)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.43 % (22960)Termination reason: Unknown 0.22/0.43 % (22960)Termination phase: shuffling 0.22/0.43 0.22/0.43 % (22960)Memory used [KB]: 1279 0.22/0.43 % (22960)Time elapsed: 0.005 s 0.22/0.43 % (22960)Instructions burned: 4 (million) 0.22/0.43 % (22960)------------------------------ 0.22/0.43 % (22960)------------------------------ 0.22/0.44 % (22965)Instruction limit reached! 0.22/0.44 % (22965)------------------------------ 0.22/0.44 % (22965)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.44 % (22965)Termination reason: Unknown 0.22/0.44 % (22965)Termination phase: Property scanning 0.22/0.44 0.22/0.44 % (22965)Memory used [KB]: 1535 0.22/0.44 % (22965)Time elapsed: 0.013 s 0.22/0.44 % (22965)Instructions burned: 18 (million) 0.22/0.44 % (22965)------------------------------ 0.22/0.44 % (22965)------------------------------ 0.22/0.44 % (22961)Instruction limit reached! 0.22/0.44 % (22961)------------------------------ 0.22/0.44 % (22961)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.44 % (22961)Termination reason: Unknown 0.22/0.44 % (22961)Termination phase: Property scanning 0.22/0.44 0.22/0.44 % (22961)Memory used [KB]: 1535 0.22/0.44 % (22961)Time elapsed: 0.018 s 0.22/0.44 % (22961)Instructions burned: 28 (million) 0.22/0.44 % (22961)------------------------------ 0.22/0.44 % (22961)------------------------------ 0.22/0.44 % (22966)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_22851 for (1799ds/3Mi) 0.22/0.44 % (22967)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_22851 for (1799ds/37Mi) 0.22/0.44 % (22968)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_22851 for (1799ds/15Mi) 0.22/0.44 % (22964)Refutation not found, incomplete strategy 0.22/0.44 % (22964)------------------------------ 0.22/0.44 % (22964)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.44 % (22964)Termination reason: Refutation not found, incomplete strategy 0.22/0.44 0.22/0.44 0.22/0.44 % (22964)Memory used [KB]: 6012 0.22/0.44 % (22964)Time elapsed: 0.020 s 0.22/0.44 % (22964)Instructions burned: 31 (million) 0.22/0.44 % (22964)------------------------------ 0.22/0.44 % (22964)------------------------------ 0.22/0.45 % (22966)Instruction limit reached! 0.22/0.45 % (22966)------------------------------ 0.22/0.45 % (22966)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.45 % (22966)Termination reason: Unknown 0.22/0.45 % (22966)Termination phase: shuffling 0.22/0.45 0.22/0.45 % (22966)Memory used [KB]: 1279 0.22/0.45 % (22966)Time elapsed: 0.004 s 0.22/0.45 % (22966)Instructions burned: 3 (million) 0.22/0.45 % (22966)------------------------------ 0.22/0.45 % (22966)------------------------------ 0.25/0.45 % (22968)Instruction limit reached! 0.25/0.45 % (22968)------------------------------ 0.25/0.45 % (22968)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.45 % (22968)Termination reason: Unknown 0.25/0.45 % (22968)Termination phase: shuffling 0.25/0.45 0.25/0.45 % (22968)Memory used [KB]: 1535 0.25/0.45 % (22968)Time elapsed: 0.010 s 0.25/0.45 % (22968)Instructions burned: 15 (million) 0.25/0.45 % (22968)------------------------------ 0.25/0.45 % (22968)------------------------------ 0.25/0.45 % (22969)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_22851 for (1799ds/3Mi) 0.25/0.45 % (22969)Instruction limit reached! 0.25/0.45 % (22969)------------------------------ 0.25/0.45 % (22969)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.45 % (22969)Termination reason: Unknown 0.25/0.45 % (22969)Termination phase: shuffling 0.25/0.45 0.25/0.45 % (22969)Memory used [KB]: 1279 0.25/0.45 % (22969)Time elapsed: 0.004 s 0.25/0.45 % (22969)Instructions burned: 3 (million) 0.25/0.45 % (22969)------------------------------ 0.25/0.45 % (22969)------------------------------ 0.25/0.46 % (22970)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_22851 for (1799ds/1041Mi) 0.25/0.46 % (22971)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_22851 for (1799ds/7Mi) 0.25/0.46 % (22972)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_22851 for (1799ds/16Mi) 0.25/0.46 % (22967)Instruction limit reached! 0.25/0.46 % (22967)------------------------------ 0.25/0.46 % (22967)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.46 % (22967)Termination reason: Unknown 0.25/0.46 % (22967)Termination phase: Property scanning 0.25/0.46 0.25/0.46 % (22967)Memory used [KB]: 1535 0.25/0.46 % (22967)Time elapsed: 0.021 s 0.25/0.46 % (22967)Instructions burned: 38 (million) 0.25/0.46 % (22967)------------------------------ 0.25/0.46 % (22967)------------------------------ 0.25/0.46 % (22973)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_22851 for (1799ds/3Mi) 0.25/0.46 % (22971)Instruction limit reached! 0.25/0.46 % (22971)------------------------------ 0.25/0.46 % (22971)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.46 % (22971)Termination reason: Unknown 0.25/0.46 % (22971)Termination phase: shuffling 0.25/0.46 0.25/0.46 % (22971)Memory used [KB]: 1279 0.25/0.46 % (22971)Time elapsed: 0.006 s 0.25/0.46 % (22971)Instructions burned: 7 (million) 0.25/0.46 % (22971)------------------------------ 0.25/0.46 % (22971)------------------------------ 0.25/0.47 % (22973)Instruction limit reached! 0.25/0.47 % (22973)------------------------------ 0.25/0.47 % (22973)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.47 % (22973)Termination reason: Unknown 0.25/0.47 % (22973)Termination phase: shuffling 0.25/0.47 0.25/0.47 % (22973)Memory used [KB]: 1279 0.25/0.47 % (22973)Time elapsed: 0.003 s 0.25/0.47 % (22973)Instructions burned: 4 (million) 0.25/0.47 % (22973)------------------------------ 0.25/0.47 % (22973)------------------------------ 0.25/0.47 % (22972)Instruction limit reached! 0.25/0.47 % (22972)------------------------------ 0.25/0.47 % (22972)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.47 % (22972)Termination reason: Unknown 0.25/0.47 % (22972)Termination phase: shuffling 0.25/0.47 0.25/0.47 % (22972)Memory used [KB]: 1535 0.25/0.47 % (22972)Time elapsed: 0.011 s 0.25/0.47 % (22972)Instructions burned: 16 (million) 0.25/0.47 % (22972)------------------------------ 0.25/0.47 % (22972)------------------------------ 0.25/0.47 % (22974)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_22851 for (1799ds/3Mi) 0.25/0.47 % (22974)Instruction limit reached! 0.25/0.47 % (22974)------------------------------ 0.25/0.47 % (22974)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.47 % (22974)Termination reason: Unknown 0.25/0.47 % (22974)Termination phase: shuffling 0.25/0.47 0.25/0.47 % (22974)Memory used [KB]: 1279 0.25/0.47 % (22974)Time elapsed: 0.004 s 0.25/0.47 % (22974)Instructions burned: 3 (million) 0.25/0.47 % (22974)------------------------------ 0.25/0.47 % (22974)------------------------------ 0.25/0.47 % (22977)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_22851 for (1799ds/4Mi) 0.25/0.48 % (22977)Instruction limit reached! 0.25/0.48 % (22977)------------------------------ 0.25/0.48 % (22977)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.48 % (22977)Termination reason: Unknown 0.25/0.48 % (22977)Termination phase: shuffling 0.25/0.48 0.25/0.48 % (22977)Memory used [KB]: 1279 0.25/0.48 % (22977)Time elapsed: 0.004 s 0.25/0.48 % (22977)Instructions burned: 6 (million) 0.25/0.48 % (22977)------------------------------ 0.25/0.48 % (22977)------------------------------ 0.25/0.48 % (22975)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_22851 for (1799ds/7Mi) 0.25/0.48 % (22976)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_22851 for (1799ds/3Mi) 0.25/0.48 % (22975)Instruction limit reached! 0.25/0.48 % (22975)------------------------------ 0.25/0.48 % (22975)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.48 % (22975)Termination reason: Unknown 0.25/0.48 % (22975)Termination phase: shuffling 0.25/0.48 0.25/0.48 % (22975)Memory used [KB]: 1279 0.25/0.48 % (22975)Time elapsed: 0.006 s 0.25/0.48 % (22975)Instructions burned: 7 (million) 0.25/0.48 % (22975)------------------------------ 0.25/0.48 % (22975)------------------------------ 0.25/0.48 % (22976)Instruction limit reached! 0.25/0.48 % (22976)------------------------------ 0.25/0.48 % (22976)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.48 % (22976)Termination reason: Unknown 0.25/0.48 % (22976)Termination phase: shuffling 0.25/0.48 0.25/0.48 % (22976)Memory used [KB]: 1279 0.25/0.48 % (22976)Time elapsed: 0.004 s 0.25/0.48 % (22976)Instructions burned: 3 (million) 0.25/0.48 % (22976)------------------------------ 0.25/0.48 % (22976)------------------------------ 0.25/0.49 % (22978)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_22851 for (1799ds/18Mi) 0.25/0.49 % (22980)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_22851 for (1799ds/6Mi) 0.25/0.49 % (22979)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_22851 for (1799ds/710Mi) 0.25/0.49 % (22980)Instruction limit reached! 0.25/0.49 % (22980)------------------------------ 0.25/0.49 % (22980)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.49 % (22980)Termination reason: Unknown 0.25/0.49 % (22980)Termination phase: shuffling 0.25/0.49 0.25/0.49 % (22980)Memory used [KB]: 1279 0.25/0.49 % (22980)Time elapsed: 0.004 s 0.25/0.49 % (22980)Instructions burned: 7 (million) 0.25/0.49 % (22980)------------------------------ 0.25/0.49 % (22980)------------------------------ 0.25/0.50 % (22978)Instruction limit reached! 0.25/0.50 % (22978)------------------------------ 0.25/0.50 % (22978)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.50 % (22978)Termination reason: Unknown 0.25/0.50 % (22978)Termination phase: Property scanning 0.25/0.50 0.25/0.50 % (22978)Memory used [KB]: 1535 0.25/0.50 % (22978)Time elapsed: 0.012 s 0.25/0.50 % (22978)Instructions burned: 18 (million) 0.25/0.50 % (22978)------------------------------ 0.25/0.50 % (22978)------------------------------ 0.25/0.50 % (22983)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_22851 for (1799ds/5Mi) 0.25/0.50 % (22982)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_22851 for (1799ds/21Mi) 0.25/0.50 % (22981)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_22851 for (1799ds/902Mi) 0.25/0.50 % (22983)Instruction limit reached! 0.25/0.50 % (22983)------------------------------ 0.25/0.50 % (22983)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.50 % (22983)Termination reason: Unknown 0.25/0.50 % (22983)Termination phase: shuffling 0.25/0.50 0.25/0.50 % (22983)Memory used [KB]: 1279 0.25/0.50 % (22983)Time elapsed: 0.004 s 0.25/0.50 % (22983)Instructions burned: 7 (million) 0.25/0.50 % (22983)------------------------------ 0.25/0.50 % (22983)------------------------------ 0.25/0.50 % (22959)Instruction limit reached! 0.25/0.50 % (22959)------------------------------ 0.25/0.50 % (22959)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.50 % (22959)Termination reason: Unknown 0.25/0.50 % (22959)Termination phase: Property scanning 0.25/0.50 0.25/0.50 % (22959)Memory used [KB]: 1663 0.25/0.50 % (22959)Time elapsed: 0.081 s 0.25/0.50 % (22959)Instructions burned: 184 (million) 0.25/0.50 % (22959)------------------------------ 0.25/0.50 % (22959)------------------------------ 0.25/0.51 % (22982)Instruction limit reached! 0.25/0.51 % (22982)------------------------------ 0.25/0.51 % (22982)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.51 % (22982)Termination reason: Unknown 0.25/0.51 % (22982)Termination phase: Property scanning 0.25/0.51 0.25/0.51 % (22982)Memory used [KB]: 1535 0.25/0.51 % (22982)Time elapsed: 0.011 s 0.25/0.51 % (22982)Instructions burned: 22 (million) 0.25/0.51 % (22982)------------------------------ 0.25/0.51 % (22982)------------------------------ 0.25/0.51 % (22985)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_22851 for (1799ds/377Mi) 0.25/0.51 % (22984)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_22851 for (1799ds/6Mi) 0.25/0.51 % (22984)Instruction limit reached! 0.25/0.51 % (22984)------------------------------ 0.25/0.51 % (22984)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.51 % (22984)Termination reason: Unknown 0.25/0.51 % (22984)Termination phase: shuffling 0.25/0.51 0.25/0.51 % (22984)Memory used [KB]: 1279 0.25/0.51 % (22984)Time elapsed: 0.005 s 0.25/0.51 % (22984)Instructions burned: 7 (million) 0.25/0.51 % (22984)------------------------------ 0.25/0.51 % (22984)------------------------------ 0.25/0.52 % (22987)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_22851 for (1799ds/19Mi) 0.25/0.52 % (22986)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_22851 for (1799ds/779Mi) 0.25/0.52 % (22987)Instruction limit reached! 0.25/0.52 % (22987)------------------------------ 0.25/0.52 % (22987)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.52 % (22987)Termination reason: Unknown 0.25/0.52 % (22987)Termination phase: Property scanning 0.25/0.52 0.25/0.52 % (22987)Memory used [KB]: 1535 0.25/0.52 % (22987)Time elapsed: 0.007 s 0.25/0.52 % (22987)Instructions burned: 20 (million) 0.25/0.52 % (22987)------------------------------ 0.25/0.52 % (22987)------------------------------ 0.25/0.53 % (22988)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_22851 for (1798ds/879Mi) 0.25/0.53 % (22981)Refutation not found, incomplete strategy 0.25/0.53 % (22981)------------------------------ 0.25/0.53 % (22981)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.53 % (22981)Termination reason: Refutation not found, incomplete strategy 0.25/0.53 0.25/0.53 0.25/0.53 % (22981)Memory used [KB]: 6268 0.25/0.53 % (22981)Time elapsed: 0.034 s 0.25/0.53 % (22981)Instructions burned: 56 (million) 0.25/0.53 % (22981)------------------------------ 0.25/0.53 % (22981)------------------------------ 0.25/0.53 % (22989)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_22851 for (1798ds/17Mi) 0.25/0.54 % (22989)Instruction limit reached! 0.25/0.54 % (22989)------------------------------ 0.25/0.54 % (22989)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.54 % (22989)Termination reason: Unknown 0.25/0.54 % (22989)Termination phase: Property scanning 0.25/0.54 0.25/0.54 % (22989)Memory used [KB]: 1535 0.25/0.54 % (22989)Time elapsed: 0.008 s 0.25/0.54 % (22989)Instructions burned: 20 (million) 0.25/0.54 % (22989)------------------------------ 0.25/0.54 % (22989)------------------------------ 1.11/0.55 % (22991)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_22851 for (1798ds/30Mi) 1.11/0.55 % (22990)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_22851 for (1798ds/3Mi) 1.11/0.55 % (22990)Instruction limit reached! 1.11/0.55 % (22990)------------------------------ 1.11/0.55 % (22990)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.11/0.55 % (22990)Termination reason: Unknown 1.11/0.55 % (22990)Termination phase: shuffling 1.11/0.55 1.11/0.55 % (22990)Memory used [KB]: 1279 1.11/0.55 % (22990)Time elapsed: 0.004 s 1.11/0.55 % (22990)Instructions burned: 3 (million) 1.11/0.55 % (22990)------------------------------ 1.11/0.55 % (22990)------------------------------ 1.11/0.56 % (22991)Instruction limit reached! 1.11/0.56 % (22991)------------------------------ 1.11/0.56 % (22991)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.11/0.56 % (22991)Termination reason: Unknown 1.11/0.56 % (22991)Termination phase: Property scanning 1.11/0.56 1.11/0.56 % (22991)Memory used [KB]: 1535 1.11/0.56 % (22991)Time elapsed: 0.011 s 1.11/0.56 % (22991)Instructions burned: 30 (million) 1.11/0.56 % (22991)------------------------------ 1.11/0.56 % (22991)------------------------------ 1.24/0.56 % (22992)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_22851 for (1798ds/127Mi) 1.24/0.57 % (22993)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_22851 for (1798ds/100Mi) 1.24/0.59 % (22993)Instruction limit reached! 1.24/0.59 % (22993)------------------------------ 1.24/0.59 % (22993)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.24/0.59 % (22993)Termination reason: Unknown 1.24/0.59 % (22993)Termination phase: Function definition elimination 1.24/0.59 1.24/0.59 % (22993)Memory used [KB]: 1791 1.24/0.59 % (22993)Time elapsed: 0.026 s 1.24/0.59 % (22993)Instructions burned: 101 (million) 1.24/0.59 % (22993)------------------------------ 1.24/0.59 % (22993)------------------------------ 1.24/0.59 % (22986)First to succeed. 1.24/0.59 % (22986)Refutation found. Thanks to Tanya! 1.24/0.59 % SZS status Theorem for E---3.1_22851 1.24/0.59 % SZS output start Proof for E---3.1_22851 1.24/0.59 thf(func_def_0, type, is_of: $i > ($i > $o) > $o). 1.24/0.59 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o). 1.24/0.59 thf(func_def_3, type, eps: ($i > $o) > $i). 1.24/0.59 thf(func_def_4, type, in: $i > $i > $o). 1.24/0.59 thf(func_def_5, type, d_Subq: $i > $i > $o). 1.24/0.59 thf(func_def_7, type, union: $i > $i). 1.24/0.59 thf(func_def_8, type, power: $i > $i). 1.24/0.59 thf(func_def_9, type, repl: $i > ($i > $i) > $i). 1.24/0.59 thf(func_def_10, type, d_Union_closed: $i > $o). 1.24/0.59 thf(func_def_11, type, d_Power_closed: $i > $o). 1.24/0.59 thf(func_def_12, type, d_Repl_closed: $i > $o). 1.24/0.59 thf(func_def_13, type, d_ZF_closed: $i > $o). 1.24/0.59 thf(func_def_14, type, univof: $i > $i). 1.24/0.59 thf(func_def_15, type, if: $o > $i > $i > $i). 1.24/0.59 thf(func_def_16, type, nIn: $i > $i > $o). 1.24/0.59 thf(func_def_17, type, d_UPair: $i > $i > $i). 1.24/0.59 thf(func_def_18, type, d_Sing: $i > $i). 1.24/0.59 thf(func_def_19, type, binunion: $i > $i > $i). 1.24/0.59 thf(func_def_20, type, famunion: $i > ($i > $i) > $i). 1.24/0.59 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i). 1.24/0.59 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i). 1.24/0.59 thf(func_def_23, type, setminus: $i > $i > $i). 1.24/0.59 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o). 1.24/0.59 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i). 1.24/0.59 thf(func_def_26, type, ordsucc: $i > $i). 1.24/0.59 thf(func_def_27, type, nat_p: $i > $o). 1.24/0.59 thf(func_def_29, type, d_Inj1: $i > $i). 1.24/0.59 thf(func_def_30, type, d_Inj0: $i > $i). 1.24/0.59 thf(func_def_31, type, d_Unj: $i > $i). 1.24/0.59 thf(func_def_32, type, pair: $i > $i > $i). 1.24/0.59 thf(func_def_33, type, proj0: $i > $i). 1.24/0.59 thf(func_def_34, type, proj1: $i > $i). 1.24/0.59 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i). 1.24/0.59 thf(func_def_36, type, setprod: $i > $i > $i). 1.24/0.59 thf(func_def_37, type, ap: $i > $i > $i). 1.24/0.59 thf(func_def_38, type, pair_p: $i > $o). 1.24/0.59 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i). 1.24/0.59 thf(func_def_40, type, imp: $o > $o > $o). 1.24/0.59 thf(func_def_41, type, d_not: $o > $o). 1.24/0.59 thf(func_def_42, type, wel: $o > $o). 1.24/0.59 thf(func_def_44, type, l_ec: $o > $o > $o). 1.24/0.59 thf(func_def_45, type, d_and: $o > $o > $o). 1.24/0.59 thf(func_def_46, type, l_or: $o > $o > $o). 1.24/0.59 thf(func_def_47, type, orec: $o > $o > $o). 1.24/0.59 thf(func_def_48, type, l_iff: $o > $o > $o). 1.24/0.59 thf(func_def_49, type, all: $i > ($i > $o) > $o). 1.24/0.59 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o). 1.24/0.59 thf(func_def_51, type, l_some: $i > ($i > $o) > $o). 1.24/0.59 thf(func_def_52, type, or3: $o > $o > $o > $o). 1.24/0.59 thf(func_def_53, type, and3: $o > $o > $o > $o). 1.24/0.59 thf(func_def_54, type, ec3: $o > $o > $o > $o). 1.24/0.59 thf(func_def_55, type, orec3: $o > $o > $o > $o). 1.24/0.59 thf(func_def_56, type, e_is: $i > $i > $i > $o). 1.24/0.59 thf(func_def_57, type, amone: $i > ($i > $o) > $o). 1.24/0.59 thf(func_def_58, type, one: $i > ($i > $o) > $o). 1.24/0.59 thf(func_def_59, type, ind: $i > ($i > $o) > $i). 1.24/0.59 thf(func_def_60, type, injective: $i > $i > $i > $o). 1.24/0.59 thf(func_def_61, type, image: $i > $i > $i > $i > $o). 1.24/0.59 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i). 1.24/0.59 thf(func_def_63, type, soft: $i > $i > $i > $i > $i). 1.24/0.59 thf(func_def_64, type, inverse: $i > $i > $i > $i). 1.24/0.59 thf(func_def_65, type, surjective: $i > $i > $i > $o). 1.24/0.59 thf(func_def_66, type, bijective: $i > $i > $i > $o). 1.24/0.59 thf(func_def_67, type, invf: $i > $i > $i > $i). 1.24/0.59 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i). 1.24/0.59 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i). 1.24/0.59 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i). 1.24/0.59 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i). 1.24/0.59 thf(func_def_72, type, first: $i > $i > $i > $i). 1.24/0.59 thf(func_def_73, type, second: $i > $i > $i > $i). 1.24/0.59 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o). 1.24/0.59 thf(func_def_75, type, ite: $o > $i > $i > $i > $i). 1.24/0.59 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i). 1.24/0.59 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i). 1.24/0.59 thf(func_def_78, type, wissel: $i > $i > $i > $i). 1.24/0.59 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i). 1.24/0.59 thf(func_def_80, type, r_ec: $o > $o > $o). 1.24/0.59 thf(func_def_81, type, esti: $i > $i > $i > $o). 1.24/0.59 thf(func_def_82, type, empty: $i > $i > $o). 1.24/0.59 thf(func_def_83, type, nonempty: $i > $i > $o). 1.24/0.59 thf(func_def_84, type, incl: $i > $i > $i > $o). 1.24/0.59 thf(func_def_85, type, st_disj: $i > $i > $i > $o). 1.24/0.59 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o). 1.24/0.59 thf(func_def_87, type, unmore: $i > $i > $i > $i). 1.24/0.59 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i). 1.24/0.59 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o). 1.24/0.59 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o). 1.24/0.59 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i). 1.24/0.59 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i). 1.24/0.59 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i). 1.24/0.59 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i). 1.24/0.59 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o). 1.24/0.59 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o). 1.24/0.59 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o). 1.24/0.59 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i). 1.24/0.59 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o). 1.24/0.59 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i). 1.24/0.59 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i). 1.24/0.59 thf(func_def_103, type, n_is: $i > $i > $o). 1.24/0.59 thf(func_def_104, type, nis: $i > $i > $o). 1.24/0.59 thf(func_def_105, type, n_in: $i > $i > $o). 1.24/0.59 thf(func_def_106, type, n_some: ($i > $o) > $o). 1.24/0.59 thf(func_def_107, type, n_all: ($i > $o) > $o). 1.24/0.59 thf(func_def_108, type, n_one: ($i > $o) > $o). 1.24/0.59 thf(func_def_110, type, cond1: $i > $o). 1.24/0.59 thf(func_def_111, type, cond2: $i > $o). 1.24/0.59 thf(func_def_112, type, i1_s: ($i > $o) > $i). 1.24/0.59 thf(func_def_113, type, d_22_prop1: $i > $o). 1.24/0.59 thf(func_def_114, type, d_23_prop1: $i > $o). 1.24/0.59 thf(func_def_115, type, d_24_prop1: $i > $o). 1.24/0.59 thf(func_def_116, type, d_24_prop2: $i > $i > $o). 1.24/0.59 thf(func_def_117, type, prop3: $i > $i > $i > $o). 1.24/0.59 thf(func_def_118, type, prop4: $i > $o). 1.24/0.59 thf(func_def_119, type, d_24_g: $i > $i). 1.24/0.59 thf(func_def_120, type, plus: $i > $i). 1.24/0.59 thf(func_def_121, type, n_pl: $i > $i > $i). 1.24/0.59 thf(func_def_142, type, sK1: ($i > $o) > $i). 1.24/0.59 thf(func_def_143, type, sK2: ($i > $i) > ($i > $i) > $i > $i). 1.24/0.59 thf(func_def_144, type, ph3: !>[X0: $tType]:(X0)). 1.24/0.59 thf(f1280,plain,( 1.24/0.59 $false), 1.24/0.59 inference(trivial_inequality_removal,[],[f1277])). 1.24/0.59 thf(f1277,plain,( 1.24/0.59 ($true = $false)), 1.24/0.59 inference(backward_demodulation,[],[f722,f1276])). 1.24/0.59 thf(f1276,plain,( 1.24/0.59 ($false = (in @ (sK2 @ (n_pl @ (ordsucc @ emptyset)) @ ordsucc @ nat) @ nat))), 1.24/0.59 inference(trivial_inequality_removal,[],[f1274])). 1.24/0.59 thf(f1274,plain,( 1.24/0.59 ($false = (in @ (sK2 @ (n_pl @ (ordsucc @ emptyset)) @ ordsucc @ nat) @ nat)) | ((ordsucc @ (sK2 @ (n_pl @ (ordsucc @ emptyset)) @ ordsucc @ nat)) != (ordsucc @ (sK2 @ (n_pl @ (ordsucc @ emptyset)) @ ordsucc @ nat)))), 1.24/0.59 inference(superposition,[],[f723,f729])). 1.24/0.59 thf(f729,plain,( 1.24/0.59 ( ! [X1 : $i] : (((ordsucc @ X1) = (n_pl @ (ordsucc @ emptyset) @ X1)) | ((in @ X1 @ nat) = $false)) )), 1.24/0.59 inference(equality_proxy_clausification,[],[f728])). 1.24/0.59 thf(f728,plain,( 1.24/0.59 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((n_pl @ (ordsucc @ emptyset) @ X1) = (ordsucc @ X1)))) )), 1.24/0.59 inference(binary_proxy_clausification,[],[f727])). 1.24/0.59 thf(f727,plain,( 1.24/0.59 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => ((n_pl @ (ordsucc @ emptyset) @ X1) = (ordsucc @ X1))))) )), 1.24/0.59 inference(beta_eta_normalization,[],[f726])). 1.24/0.59 thf(f726,plain,( 1.24/0.59 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ (ordsucc @ emptyset) @ Y0) = (ordsucc @ Y0)))) @ X1))) )), 1.24/0.59 inference(pi_clausification,[],[f540])). 1.24/0.59 thf(f540,plain,( 1.24/0.59 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ (ordsucc @ emptyset) @ Y0) = (ordsucc @ Y0))))))), 1.24/0.59 inference(beta_eta_normalization,[],[f533])). 1.24/0.59 thf(f533,plain,( 1.24/0.59 ($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)))))), 1.24/0.59 inference(definition_unfolding,[],[f514,f520,f521,f492])). 1.24/0.59 thf(f492,plain,( 1.24/0.59 ((ordsucc @ emptyset) = n_1)), 1.24/0.59 inference(cnf_transformation,[],[f427])). 1.24/0.59 thf(f427,plain,( 1.24/0.59 ((ordsucc @ emptyset) = n_1)), 1.24/0.59 inference(fool_elimination,[],[f102])). 1.24/0.59 thf(f102,axiom,( 1.24/0.59 ((ordsucc @ emptyset) = n_1)), 1.24/0.59 file('/export/starexec/sandbox/tmp/tmp.kassOtpRSg/E---3.1_22851.p',def_n_1)). 1.24/0.59 thf(f521,plain,( 1.24/0.59 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))), 1.24/0.59 inference(definition_unfolding,[],[f491,f509])). 1.24/0.59 thf(f509,plain,( 1.24/0.59 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 1.24/0.59 inference(cnf_transformation,[],[f212])). 1.24/0.59 thf(f212,plain,( 1.24/0.59 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 1.24/0.59 inference(fool_elimination,[],[f211])). 1.24/0.59 thf(f211,plain,( 1.24/0.59 (e_is = (^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))))), 1.24/0.59 inference(rectify,[],[f49])). 1.24/0.59 thf(f49,axiom,( 1.24/0.59 (e_is = (^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))))), 1.24/0.59 file('/export/starexec/sandbox/tmp/tmp.kassOtpRSg/E---3.1_22851.p',def_e_is)). 1.24/0.59 thf(f491,plain,( 1.24/0.59 (n_is = (e_is @ nat))), 1.24/0.59 inference(cnf_transformation,[],[f206])). 1.24/0.59 thf(f206,plain,( 1.24/0.59 (n_is = (e_is @ nat))), 1.24/0.59 inference(fool_elimination,[],[f96])). 1.24/0.59 thf(f96,axiom,( 1.24/0.59 (n_is = (e_is @ nat))), 1.24/0.59 file('/export/starexec/sandbox/tmp/tmp.kassOtpRSg/E---3.1_22851.p',def_n_is)). 1.24/0.59 thf(f520,plain,( 1.24/0.59 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))), 1.24/0.59 inference(definition_unfolding,[],[f508,f498])). 1.24/0.59 thf(f498,plain,( 1.24/0.59 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))), 1.24/0.59 inference(cnf_transformation,[],[f353])). 1.24/0.59 thf(f353,plain,( 1.24/0.59 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))), 1.24/0.59 inference(fool_elimination,[],[f1])). 1.24/0.59 thf(f1,axiom,( 1.24/0.59 (is_of = (^[X0 : $i, X1 : $i > $o] : (X1 @ X0)))), 1.24/0.59 file('/export/starexec/sandbox/tmp/tmp.kassOtpRSg/E---3.1_22851.p',def_is_of)). 1.24/0.59 thf(f508,plain,( 1.24/0.59 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 1.24/0.59 inference(cnf_transformation,[],[f402])). 1.24/0.59 thf(f402,plain,( 1.24/0.59 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 1.24/0.59 inference(fool_elimination,[],[f401])). 1.24/0.59 thf(f401,plain,( 1.24/0.59 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))), 1.24/0.59 inference(rectify,[],[f2])). 1.24/0.59 thf(f2,axiom,( 1.24/0.59 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))), 1.24/0.59 file('/export/starexec/sandbox/tmp/tmp.kassOtpRSg/E---3.1_22851.p',def_all_of)). 1.24/0.59 thf(f514,plain,( 1.24/0.59 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ (n_pl @ n_1 @ Y0) @ (ordsucc @ Y0)))))), 1.24/0.59 inference(cnf_transformation,[],[f445])). 1.24/0.59 thf(f445,plain,( 1.24/0.59 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ (n_pl @ n_1 @ Y0) @ (ordsucc @ Y0)))))), 1.24/0.59 inference(fool_elimination,[],[f444])). 1.24/0.59 thf(f444,plain,( 1.24/0.59 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (n_is @ (n_pl @ n_1 @ X1) @ (ordsucc @ X1))))), 1.24/0.59 inference(rectify,[],[f189])). 1.24/0.59 thf(f189,axiom,( 1.24/0.59 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (n_is @ (n_pl @ n_1 @ X0) @ (ordsucc @ X0))))), 1.24/0.59 file('/export/starexec/sandbox/tmp/tmp.kassOtpRSg/E---3.1_22851.p',satz4c)). 1.24/0.59 thf(f723,plain,( 1.24/0.59 ((ordsucc @ (sK2 @ (n_pl @ (ordsucc @ emptyset)) @ ordsucc @ nat)) != (n_pl @ (ordsucc @ emptyset) @ (sK2 @ (n_pl @ (ordsucc @ emptyset)) @ ordsucc @ nat)))), 1.24/0.59 inference(equality_proxy_clausification,[],[f721])). 1.24/0.59 thf(f721,plain,( 1.24/0.59 ($false = ((ordsucc @ (sK2 @ (n_pl @ (ordsucc @ emptyset)) @ ordsucc @ nat)) = (n_pl @ (ordsucc @ emptyset) @ (sK2 @ (n_pl @ (ordsucc @ emptyset)) @ ordsucc @ nat))))), 1.24/0.59 inference(binary_proxy_clausification,[],[f720])). 1.24/0.59 thf(f720,plain,( 1.24/0.59 ($false = ((in @ (sK2 @ (n_pl @ (ordsucc @ emptyset)) @ ordsucc @ nat) @ nat) => ((ordsucc @ (sK2 @ (n_pl @ (ordsucc @ emptyset)) @ ordsucc @ nat)) = (n_pl @ (ordsucc @ emptyset) @ (sK2 @ (n_pl @ (ordsucc @ emptyset)) @ ordsucc @ nat)))))), 1.24/0.59 inference(beta_eta_normalization,[],[f719])). 1.24/0.59 thf(f719,plain,( 1.24/0.59 (((^[Y0 : $i]: ((in @ Y0 @ nat) => ((ordsucc @ Y0) = (n_pl @ (ordsucc @ emptyset) @ Y0)))) @ (sK2 @ (n_pl @ (ordsucc @ emptyset)) @ ordsucc @ nat)) = $false)), 1.24/0.59 inference(sigma_clausification,[],[f718])). 1.24/0.59 thf(f718,plain,( 1.24/0.59 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((ordsucc @ Y0) = (n_pl @ (ordsucc @ emptyset) @ Y0))))))), 1.24/0.59 inference(not_proxy_clausification,[],[f541])). 1.24/0.59 thf(f541,plain,( 1.24/0.59 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((ordsucc @ Y0) = (n_pl @ (ordsucc @ emptyset) @ Y0)))))))), 1.24/0.59 inference(beta_eta_normalization,[],[f532])). 1.24/0.59 thf(f532,plain,( 1.24/0.59 ($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 : $i]: (Y2 = Y3)))))) @ nat @ (ordsucc @ Y0) @ (n_pl @ (ordsucc @ emptyset) @ Y0))))))), 1.24/0.59 inference(definition_unfolding,[],[f507,f520,f521,f492])). 1.24/0.59 thf(f507,plain,( 1.24/0.59 ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ (ordsucc @ Y0) @ (n_pl @ n_1 @ Y0))))))), 1.24/0.59 inference(cnf_transformation,[],[f300])). 1.24/0.59 thf(f300,plain,( 1.24/0.59 ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ (ordsucc @ Y0) @ (n_pl @ n_1 @ Y0))))))), 1.24/0.59 inference(fool_elimination,[],[f299])). 1.24/0.59 thf(f299,plain,( 1.24/0.59 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (n_is @ (ordsucc @ X1) @ (n_pl @ n_1 @ X1))))), 1.24/0.59 inference(rectify,[],[f185])). 1.24/0.59 thf(f185,negated_conjecture,( 1.24/0.59 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (n_is @ (ordsucc @ X0) @ (n_pl @ n_1 @ X0))))), 1.24/0.59 inference(negated_conjecture,[],[f184])). 1.24/0.59 thf(f184,conjecture,( 1.24/0.59 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (n_is @ (ordsucc @ X0) @ (n_pl @ n_1 @ X0))))), 1.24/0.59 file('/export/starexec/sandbox/tmp/tmp.kassOtpRSg/E---3.1_22851.p',satz4g)). 1.24/0.59 thf(f722,plain,( 1.24/0.59 ($true = (in @ (sK2 @ (n_pl @ (ordsucc @ emptyset)) @ ordsucc @ nat) @ nat))), 1.24/0.59 inference(binary_proxy_clausification,[],[f720])). 1.24/0.59 % SZS output end Proof for E---3.1_22851 1.24/0.59 % (22986)------------------------------ 1.24/0.59 % (22986)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.24/0.59 % (22986)Termination reason: Refutation 1.24/0.59 1.24/0.59 % (22986)Memory used [KB]: 6652 1.24/0.59 % (22986)Time elapsed: 0.073 s 1.24/0.59 % (22986)Instructions burned: 189 (million) 1.24/0.59 % (22986)------------------------------ 1.24/0.59 % (22986)------------------------------ 1.24/0.59 % (22958)Success in time 0.178 s 1.24/0.59 EOF