0.09/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.10 % Command : run_vampire %s %d THM 0.10/0.30 % Computer : n007.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 1920 0.10/0.30 % WCLimit : 240 0.10/0.30 % DateTime : Wed Jul 30 07:01:19 EDT 2025 0.10/0.30 % CPUTime : 0.16/0.32 This is a THF_ problem 0.16/0.32 Running higher-order theorem proving 0.16/0.34 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.shF7P2U28u/E---3.1_26249.p -m 16384 -t 240 0.16/0.37 % (26365)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_26249 for (2399ds/2Mi) 0.16/0.37 % (26366)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_26249 for (2399ds/2Mi) 0.16/0.37 % (26362)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_26249 for (2399ds/4Mi) 0.16/0.37 % (26361)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_26249 for (2399ds/183Mi) 0.16/0.37 % (26367)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_26249 for (2399ds/275Mi) 0.16/0.37 % (26364)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_26249 for (2399ds/27Mi) 0.16/0.37 % (26368)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_26249 for (2399ds/18Mi) 0.16/0.37 % (26365)Instruction limit reached! 0.16/0.37 % (26365)------------------------------ 0.16/0.37 % (26365)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.37 % (26365)Termination reason: Unknown 0.16/0.37 % (26365)Termination phase: Property scanning 0.16/0.37 % (26366)Instruction limit reached! 0.16/0.37 % (26366)------------------------------ 0.16/0.37 % (26366)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.37 0.16/0.37 % (26365)Memory used [KB]: 1151 0.16/0.37 % (26365)Time elapsed: 0.003 s 0.16/0.37 % (26365)Instructions burned: 3 (million) 0.16/0.37 % (26365)------------------------------ 0.16/0.37 % (26365)------------------------------ 0.16/0.37 % (26366)Termination reason: Unknown 0.16/0.37 % (26366)Termination phase: shuffling 0.16/0.37 0.16/0.37 % (26366)Memory used [KB]: 1151 0.16/0.37 % (26366)Time elapsed: 0.004 s 0.16/0.37 % (26366)Instructions burned: 4 (million) 0.16/0.37 % (26366)------------------------------ 0.16/0.37 % (26366)------------------------------ 0.16/0.37 % (26362)Instruction limit reached! 0.16/0.37 % (26362)------------------------------ 0.16/0.37 % (26362)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.37 % (26362)Termination reason: Unknown 0.16/0.37 % (26362)Termination phase: shuffling 0.16/0.37 0.16/0.37 % (26362)Memory used [KB]: 1151 0.16/0.37 % (26362)Time elapsed: 0.005 s 0.16/0.37 % (26362)Instructions burned: 5 (million) 0.16/0.37 % (26362)------------------------------ 0.16/0.37 % (26362)------------------------------ 0.16/0.37 % (26367)Refutation not found, incomplete strategy 0.16/0.37 % (26367)------------------------------ 0.16/0.37 % (26367)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.37 % (26367)Termination reason: Refutation not found, incomplete strategy 0.16/0.37 0.16/0.37 0.16/0.37 % (26367)Memory used [KB]: 5628 0.16/0.37 % (26367)Time elapsed: 0.008 s 0.16/0.37 % (26367)Instructions burned: 10 (million) 0.16/0.37 % (26367)------------------------------ 0.16/0.37 % (26367)------------------------------ 0.16/0.38 % (26368)Instruction limit reached! 0.16/0.38 % (26368)------------------------------ 0.16/0.38 % (26368)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.38 % (26368)Termination reason: Unknown 0.16/0.38 % (26368)Termination phase: Equality resolution with deletion 0.16/0.38 0.16/0.38 % (26368)Memory used [KB]: 1279 0.16/0.38 % (26368)Time elapsed: 0.010 s 0.16/0.38 % (26368)Instructions burned: 20 (million) 0.16/0.38 % (26368)------------------------------ 0.16/0.38 % (26368)------------------------------ 0.16/0.38 % (26364)Instruction limit reached! 0.16/0.38 % (26364)------------------------------ 0.16/0.38 % (26364)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.38 % (26364)Termination reason: Unknown 0.16/0.38 % (26364)Termination phase: Saturation 0.16/0.38 0.16/0.38 % (26364)Memory used [KB]: 5756 0.16/0.38 % (26364)Time elapsed: 0.014 s 0.16/0.38 % (26364)Instructions burned: 28 (million) 0.16/0.38 % (26364)------------------------------ 0.16/0.38 % (26364)------------------------------ 0.16/0.38 % (26370)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_26249 for (2399ds/37Mi) 0.16/0.38 % (26369)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_26249 for (2399ds/3Mi) 0.16/0.38 % (26371)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_26249 for (2399ds/15Mi) 0.16/0.38 % (26369)Instruction limit reached! 0.16/0.38 % (26369)------------------------------ 0.16/0.38 % (26369)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.38 % (26369)Termination reason: Unknown 0.16/0.38 % (26369)Termination phase: shuffling 0.16/0.38 0.16/0.38 % (26369)Memory used [KB]: 1151 0.16/0.38 % (26369)Time elapsed: 0.003 s 0.16/0.38 % (26369)Instructions burned: 4 (million) 0.16/0.38 % (26369)------------------------------ 0.16/0.38 % (26369)------------------------------ 0.16/0.39 % (26372)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_26249 for (2399ds/3Mi) 0.16/0.39 % (26372)Instruction limit reached! 0.16/0.39 % (26372)------------------------------ 0.16/0.39 % (26372)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.39 % (26372)Termination reason: Unknown 0.16/0.39 % (26372)Termination phase: shuffling 0.16/0.39 0.16/0.39 % (26372)Memory used [KB]: 1151 0.16/0.39 % (26372)Time elapsed: 0.004 s 0.16/0.39 % (26372)Instructions burned: 4 (million) 0.16/0.39 % (26372)------------------------------ 0.16/0.39 % (26372)------------------------------ 0.16/0.39 % (26371)Instruction limit reached! 0.16/0.39 % (26371)------------------------------ 0.16/0.39 % (26371)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.39 % (26371)Termination reason: Unknown 0.16/0.39 % (26371)Termination phase: Property scanning 0.16/0.39 0.16/0.39 % (26371)Memory used [KB]: 1279 0.16/0.39 % (26371)Time elapsed: 0.009 s 0.16/0.39 % (26371)Instructions burned: 16 (million) 0.16/0.39 % (26371)------------------------------ 0.16/0.39 % (26371)------------------------------ 0.16/0.39 % (26374)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_26249 for (2399ds/1041Mi) 0.16/0.39 % (26375)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_26249 for (2399ds/7Mi) 0.18/0.40 % (26375)Instruction limit reached! 0.18/0.40 % (26375)------------------------------ 0.18/0.40 % (26375)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.40 % (26375)Termination reason: Unknown 0.18/0.40 % (26375)Termination phase: SInE selection 0.18/0.40 0.18/0.40 % (26375)Memory used [KB]: 1151 0.18/0.40 % (26375)Time elapsed: 0.006 s 0.18/0.40 % (26375)Instructions burned: 9 (million) 0.18/0.40 % (26375)------------------------------ 0.18/0.40 % (26375)------------------------------ 0.18/0.40 % (26370)Instruction limit reached! 0.18/0.40 % (26370)------------------------------ 0.18/0.40 % (26370)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.40 % (26370)Termination reason: Unknown 0.18/0.40 % (26370)Termination phase: Property scanning 0.18/0.40 0.18/0.40 % (26370)Memory used [KB]: 1407 0.18/0.40 % (26370)Time elapsed: 0.017 s 0.18/0.40 % (26370)Instructions burned: 39 (million) 0.18/0.40 % (26370)------------------------------ 0.18/0.40 % (26370)------------------------------ 0.18/0.40 % (26376)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_26249 for (2399ds/16Mi) 0.18/0.40 % (26377)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_26249 for (2399ds/3Mi) 0.18/0.40 % (26378)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_26249 for (2399ds/3Mi) 0.18/0.40 % (26377)Instruction limit reached! 0.18/0.40 % (26377)------------------------------ 0.18/0.40 % (26377)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.40 % (26377)Termination reason: Unknown 0.18/0.40 % (26377)Termination phase: shuffling 0.18/0.40 0.18/0.40 % (26377)Memory used [KB]: 1151 0.18/0.40 % (26377)Time elapsed: 0.004 s 0.18/0.40 % (26377)Instructions burned: 4 (million) 0.18/0.40 % (26377)------------------------------ 0.18/0.40 % (26377)------------------------------ 0.18/0.41 % (26378)Instruction limit reached! 0.18/0.41 % (26378)------------------------------ 0.18/0.41 % (26378)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.41 % (26378)Termination reason: Unknown 0.18/0.41 % (26378)Termination phase: shuffling 0.18/0.41 0.18/0.41 % (26378)Memory used [KB]: 1151 0.18/0.41 % (26378)Time elapsed: 0.004 s 0.18/0.41 % (26378)Instructions burned: 3 (million) 0.18/0.41 % (26378)------------------------------ 0.18/0.41 % (26378)------------------------------ 0.18/0.41 % (26376)Instruction limit reached! 0.18/0.41 % (26376)------------------------------ 0.18/0.41 % (26376)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.41 % (26376)Termination reason: Unknown 0.18/0.41 % (26376)Termination phase: Property scanning 0.18/0.41 0.18/0.41 % (26376)Memory used [KB]: 1279 0.18/0.41 % (26376)Time elapsed: 0.010 s 0.18/0.41 % (26376)Instructions burned: 17 (million) 0.18/0.41 % (26376)------------------------------ 0.18/0.41 % (26376)------------------------------ 0.18/0.41 % (26380)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_26249 for (2399ds/7Mi) 0.18/0.41 % (26381)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_26249 for (2399ds/3Mi) 0.18/0.41 % (26381)Instruction limit reached! 0.18/0.41 % (26381)------------------------------ 0.18/0.41 % (26381)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.41 % (26381)Termination reason: Unknown 0.18/0.41 % (26381)Termination phase: shuffling 0.18/0.41 0.18/0.41 % (26381)Memory used [KB]: 1151 0.18/0.41 % (26381)Time elapsed: 0.003 s 0.18/0.41 % (26381)Instructions burned: 4 (million) 0.18/0.41 % (26381)------------------------------ 0.18/0.41 % (26381)------------------------------ 0.18/0.41 % (26380)Instruction limit reached! 0.18/0.41 % (26380)------------------------------ 0.18/0.41 % (26380)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.41 % (26380)Termination reason: Unknown 0.18/0.41 % (26380)Termination phase: shuffling 0.18/0.41 0.18/0.41 % (26380)Memory used [KB]: 1151 0.18/0.41 % (26380)Time elapsed: 0.006 s 0.18/0.41 % (26380)Instructions burned: 8 (million) 0.18/0.41 % (26380)------------------------------ 0.18/0.41 % (26380)------------------------------ 0.18/0.42 % (26384)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_26249 for (2399ds/710Mi) 0.18/0.42 % (26382)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_26249 for (2399ds/4Mi) 0.18/0.42 % (26383)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_26249 for (2399ds/18Mi) 0.18/0.42 % (26382)Instruction limit reached! 0.18/0.42 % (26382)------------------------------ 0.18/0.42 % (26382)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.42 % (26382)Termination reason: Unknown 0.18/0.42 % (26382)Termination phase: Property scanning 0.18/0.42 0.18/0.42 % (26382)Memory used [KB]: 1151 0.18/0.42 % (26382)Time elapsed: 0.004 s 0.18/0.42 % (26382)Instructions burned: 4 (million) 0.18/0.42 % (26382)------------------------------ 0.18/0.42 % (26382)------------------------------ 0.18/0.43 % (26383)Instruction limit reached! 0.18/0.43 % (26383)------------------------------ 0.18/0.43 % (26383)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.43 % (26383)Termination reason: Unknown 0.18/0.43 % (26383)Termination phase: Property scanning 0.18/0.43 0.18/0.43 % (26383)Memory used [KB]: 1279 0.18/0.43 % (26383)Time elapsed: 0.010 s 0.18/0.43 % (26383)Instructions burned: 19 (million) 0.18/0.43 % (26383)------------------------------ 0.18/0.43 % (26383)------------------------------ 0.18/0.43 % (26385)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_26249 for (2399ds/6Mi) 0.18/0.43 % (26386)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_26249 for (2399ds/902Mi) 0.18/0.43 % (26385)Instruction limit reached! 0.18/0.43 % (26385)------------------------------ 0.18/0.43 % (26385)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.43 % (26385)Termination reason: Unknown 0.18/0.43 % (26385)Termination phase: Property scanning 0.18/0.43 0.18/0.43 % (26385)Memory used [KB]: 1151 0.18/0.43 % (26385)Time elapsed: 0.005 s 0.18/0.43 % (26385)Instructions burned: 6 (million) 0.18/0.43 % (26385)------------------------------ 0.18/0.43 % (26385)------------------------------ 0.18/0.44 % (26387)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_26249 for (2399ds/21Mi) 0.18/0.44 % (26388)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_26249 for (2399ds/5Mi) 0.18/0.44 % (26388)Instruction limit reached! 0.18/0.44 % (26388)------------------------------ 0.18/0.44 % (26388)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.44 % (26388)Termination reason: Unknown 0.18/0.44 % (26388)Termination phase: shuffling 0.18/0.45 0.18/0.45 % (26388)Memory used [KB]: 1279 0.18/0.45 % (26388)Time elapsed: 0.005 s 0.18/0.45 % (26388)Instructions burned: 6 (million) 0.18/0.45 % (26388)------------------------------ 0.18/0.45 % (26388)------------------------------ 0.18/0.45 % (26387)Instruction limit reached! 0.18/0.45 % (26387)------------------------------ 0.18/0.45 % (26387)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.45 % (26387)Termination reason: Unknown 0.18/0.45 % (26387)Termination phase: Preprocessing 1 0.18/0.45 0.18/0.45 % (26387)Memory used [KB]: 1279 0.18/0.45 % (26387)Time elapsed: 0.012 s 0.18/0.45 % (26387)Instructions burned: 22 (million) 0.18/0.45 % (26387)------------------------------ 0.18/0.45 % (26387)------------------------------ 0.18/0.45 % (26389)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_26249 for (2399ds/6Mi) 0.18/0.45 % (26386)Refutation not found, incomplete strategy 0.18/0.45 % (26386)------------------------------ 0.18/0.45 % (26386)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.45 % (26386)Termination reason: Refutation not found, incomplete strategy 0.18/0.45 0.18/0.45 0.18/0.45 % (26386)Memory used [KB]: 6140 0.18/0.45 % (26386)Time elapsed: 0.021 s 0.18/0.45 % (26386)Instructions burned: 42 (million) 0.18/0.45 % (26386)------------------------------ 0.18/0.45 % (26386)------------------------------ 0.18/0.45 % (26389)Instruction limit reached! 0.18/0.45 % (26389)------------------------------ 0.18/0.45 % (26389)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.45 % (26389)Termination reason: Unknown 0.18/0.45 % (26389)Termination phase: shuffling 0.18/0.45 0.18/0.45 % (26389)Memory used [KB]: 1279 0.18/0.45 % (26389)Time elapsed: 0.006 s 0.18/0.45 % (26389)Instructions burned: 7 (million) 0.18/0.45 % (26389)------------------------------ 0.18/0.45 % (26389)------------------------------ 0.18/0.46 % (26390)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_26249 for (2399ds/377Mi) 0.18/0.46 % (26391)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_26249 for (2399ds/779Mi) 0.18/0.46 % (26392)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_26249 for (2399ds/19Mi) 0.18/0.46 % (26361)Instruction limit reached! 0.18/0.46 % (26361)------------------------------ 0.18/0.46 % (26361)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.46 % (26361)Termination reason: Unknown 0.18/0.46 % (26361)Termination phase: Saturation 0.18/0.46 0.18/0.46 % (26361)Memory used [KB]: 6780 0.18/0.46 % (26361)Time elapsed: 0.097 s 0.18/0.46 % (26361)Instructions burned: 183 (million) 0.18/0.46 % (26361)------------------------------ 0.18/0.46 % (26361)------------------------------ 0.18/0.46 % (26393)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_26249 for (2399ds/879Mi) 0.18/0.47 % (26392)Instruction limit reached! 0.18/0.47 % (26392)------------------------------ 0.18/0.47 % (26392)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.47 % (26392)Termination reason: Unknown 0.18/0.47 % (26392)Termination phase: Property scanning 0.18/0.47 0.18/0.47 % (26392)Memory used [KB]: 1407 0.18/0.47 % (26392)Time elapsed: 0.010 s 0.18/0.47 % (26392)Instructions burned: 19 (million) 0.18/0.47 % (26392)------------------------------ 0.18/0.47 % (26392)------------------------------ 0.18/0.48 % (26394)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_26249 for (2398ds/17Mi) 0.18/0.49 % (26395)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_26249 for (2398ds/3Mi) 0.18/0.49 % (26394)Instruction limit reached! 0.18/0.49 % (26394)------------------------------ 0.18/0.49 % (26394)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.49 % (26394)Termination reason: Unknown 0.18/0.49 % (26394)Termination phase: Property scanning 0.18/0.49 0.18/0.49 % (26394)Memory used [KB]: 1279 0.18/0.49 % (26394)Time elapsed: 0.011 s 0.18/0.49 % (26394)Instructions burned: 18 (million) 0.18/0.49 % (26394)------------------------------ 0.18/0.49 % (26394)------------------------------ 0.18/0.49 % (26395)Instruction limit reached! 0.18/0.49 % (26395)------------------------------ 0.18/0.49 % (26395)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.49 % (26395)Termination reason: Unknown 0.18/0.49 % (26395)Termination phase: shuffling 0.18/0.49 0.18/0.49 % (26395)Memory used [KB]: 1151 0.18/0.49 % (26395)Time elapsed: 0.004 s 0.18/0.49 % (26395)Instructions burned: 4 (million) 0.18/0.49 % (26395)------------------------------ 0.18/0.49 % (26395)------------------------------ 0.18/0.49 % (26384)Refutation not found, incomplete strategy 0.18/0.49 % (26384)------------------------------ 0.18/0.49 % (26384)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.49 % (26384)Termination reason: Refutation not found, incomplete strategy 0.18/0.49 0.18/0.49 0.18/0.49 % (26384)Memory used [KB]: 6268 0.18/0.49 % (26384)Time elapsed: 0.074 s 0.18/0.49 % (26384)Instructions burned: 148 (million) 0.18/0.49 % (26384)------------------------------ 0.18/0.49 % (26384)------------------------------ 0.18/0.50 % (26396)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_26249 for (2398ds/30Mi) 0.18/0.50 % (26397)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_26249 for (2398ds/127Mi) 0.18/0.51 % (26398)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_26249 for (2398ds/100Mi) 0.18/0.51 % (26396)Instruction limit reached! 0.18/0.51 % (26396)------------------------------ 0.18/0.51 % (26396)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.51 % (26396)Termination reason: Unknown 0.18/0.51 % (26396)Termination phase: Property scanning 0.18/0.51 0.18/0.51 % (26396)Memory used [KB]: 1279 0.18/0.51 % (26396)Time elapsed: 0.016 s 0.18/0.51 % (26396)Instructions burned: 32 (million) 0.18/0.51 % (26396)------------------------------ 0.18/0.51 % (26396)------------------------------ 0.18/0.53 % (26401)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_26249 for (2398ds/3Mi) 0.18/0.53 % (26401)Instruction limit reached! 0.18/0.53 % (26401)------------------------------ 0.18/0.53 % (26401)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.53 % (26401)Termination reason: Unknown 0.18/0.53 % (26401)Termination phase: shuffling 0.18/0.53 0.18/0.53 % (26401)Memory used [KB]: 1151 0.18/0.53 % (26401)Time elapsed: 0.004 s 0.18/0.53 % (26401)Instructions burned: 4 (million) 0.18/0.53 % (26401)------------------------------ 0.18/0.53 % (26401)------------------------------ 0.18/0.55 % (26402)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_26249 for (2398ds/20Mi) 0.18/0.55 % (26398)Instruction limit reached! 0.18/0.55 % (26398)------------------------------ 0.18/0.55 % (26398)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.55 % (26398)Termination reason: Unknown 0.18/0.55 % (26398)Termination phase: Saturation 0.18/0.55 0.18/0.55 % (26398)Memory used [KB]: 6396 0.18/0.55 % (26398)Time elapsed: 0.047 s 0.18/0.55 % (26398)Instructions burned: 101 (million) 0.18/0.55 % (26398)------------------------------ 0.18/0.55 % (26398)------------------------------ 0.18/0.55 % (26402)Refutation not found, incomplete strategy 0.18/0.55 % (26402)------------------------------ 0.18/0.55 % (26402)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.55 % (26402)Termination reason: Refutation not found, incomplete strategy 0.18/0.55 0.18/0.55 0.18/0.55 % (26402)Memory used [KB]: 5628 0.18/0.55 % (26402)Time elapsed: 0.009 s 0.18/0.55 % (26402)Instructions burned: 14 (million) 0.18/0.55 % (26402)------------------------------ 0.18/0.55 % (26402)------------------------------ 0.18/0.57 % (26397)Instruction limit reached! 0.18/0.57 % (26397)------------------------------ 0.18/0.57 % (26397)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.57 % (26397)Termination reason: Unknown 0.18/0.57 % (26397)Termination phase: Saturation 0.18/0.57 0.18/0.57 % (26397)Memory used [KB]: 6396 0.18/0.57 % (26397)Time elapsed: 0.067 s 0.18/0.57 % (26397)Instructions burned: 128 (million) 0.18/0.57 % (26397)------------------------------ 0.18/0.57 % (26397)------------------------------ 0.18/0.57 % (26403)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_26249 for (2397ds/86Mi) 0.18/0.57 % (26404)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_26249 for (2397ds/107Mi) 0.18/0.59 % (26405)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_26249 for (2397ds/39Mi) 1.80/0.60 % (26405)Instruction limit reached! 1.80/0.60 % (26405)------------------------------ 1.80/0.60 % (26405)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.80/0.60 % (26405)Termination reason: Unknown 1.80/0.60 % (26405)Termination phase: Property scanning 1.80/0.60 1.80/0.60 % (26405)Memory used [KB]: 1407 1.80/0.60 % (26405)Time elapsed: 0.019 s 1.80/0.60 % (26405)Instructions burned: 39 (million) 1.80/0.60 % (26405)------------------------------ 1.80/0.60 % (26405)------------------------------ 1.92/0.61 % (26403)Instruction limit reached! 1.92/0.61 % (26403)------------------------------ 1.92/0.61 % (26403)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.92/0.61 % (26403)Termination reason: Unknown 1.92/0.61 % (26403)Termination phase: Saturation 1.92/0.61 1.92/0.61 % (26403)Memory used [KB]: 6396 1.92/0.61 % (26403)Time elapsed: 0.046 s 1.92/0.61 % (26403)Instructions burned: 86 (million) 1.92/0.61 % (26403)------------------------------ 1.92/0.61 % (26403)------------------------------ 1.92/0.62 % (26406)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_26249 for (2397ds/448Mi) 1.92/0.62 % (26404)Instruction limit reached! 1.92/0.62 % (26404)------------------------------ 1.92/0.62 % (26404)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.92/0.62 % (26404)Termination reason: Unknown 1.92/0.62 % (26404)Termination phase: Saturation 1.92/0.62 1.92/0.62 % (26404)Memory used [KB]: 6396 1.92/0.62 % (26404)Time elapsed: 0.057 s 1.92/0.62 % (26404)Instructions burned: 108 (million) 1.92/0.62 % (26404)------------------------------ 1.92/0.62 % (26404)------------------------------ 1.92/0.63 % (26407)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_26249 for (2397ds/46Mi) 2.02/0.64 % (26408)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_26249 for (2397ds/98Mi) 2.02/0.65 % (26407)Instruction limit reached! 2.02/0.65 % (26407)------------------------------ 2.02/0.65 % (26407)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.02/0.65 % (26407)Termination reason: Unknown 2.02/0.65 % (26407)Termination phase: Saturation 2.02/0.65 2.02/0.65 % (26407)Memory used [KB]: 6012 2.02/0.65 % (26407)Time elapsed: 0.024 s 2.02/0.65 % (26407)Instructions burned: 46 (million) 2.02/0.65 % (26407)------------------------------ 2.02/0.65 % (26407)------------------------------ 2.02/0.65 % (26390)Instruction limit reached! 2.02/0.65 % (26390)------------------------------ 2.02/0.65 % (26390)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.02/0.65 % (26390)Termination reason: Unknown 2.02/0.65 % (26390)Termination phase: Saturation 2.02/0.65 2.02/0.65 % (26390)Memory used [KB]: 6780 2.02/0.65 % (26390)Time elapsed: 0.213 s 2.02/0.65 % (26390)Instructions burned: 378 (million) 2.02/0.65 % (26390)------------------------------ 2.02/0.65 % (26390)------------------------------ 2.02/0.66 % (26411)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_26249 for (2396ds/507Mi) 2.02/0.66 % (26412)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_26249 for (2396ds/149Mi) 2.02/0.68 % (26406)First to succeed. 2.02/0.68 % (26408)Instruction limit reached! 2.02/0.68 % (26408)------------------------------ 2.02/0.68 % (26408)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.02/0.68 % (26408)Termination reason: Unknown 2.02/0.68 % (26408)Termination phase: Saturation 2.02/0.68 2.02/0.68 % (26408)Memory used [KB]: 1791 2.02/0.68 % (26408)Time elapsed: 0.048 s 2.02/0.68 % (26408)Instructions burned: 99 (million) 2.02/0.68 % (26408)------------------------------ 2.02/0.68 % (26408)------------------------------ 2.02/0.69 % (26411)Refutation not found, incomplete strategy 2.02/0.69 % (26411)------------------------------ 2.02/0.69 % (26411)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.02/0.69 % (26411)Termination reason: Refutation not found, incomplete strategy 2.02/0.69 2.02/0.69 2.02/0.69 % (26411)Memory used [KB]: 6268 2.02/0.69 % (26411)Time elapsed: 0.025 s 2.02/0.69 % (26411)Instructions burned: 50 (million) 2.02/0.69 % (26411)------------------------------ 2.02/0.69 % (26411)------------------------------ 2.02/0.69 % (26406)Refutation found. Thanks to Tanya! 2.02/0.69 % SZS status Theorem for E---3.1_26249 2.02/0.69 % SZS output start Proof for E---3.1_26249 2.02/0.69 thf(type_def_5, type, d: $tType). 2.02/0.69 thf(type_def_7, type, u: $tType). 2.02/0.69 thf(type_def_8, type, du: $tType). 2.02/0.69 thf(type_def_9, type, mono_2Etyop_2Einteger_2Eint: $tType). 2.02/0.69 thf(type_def_10, type, mono_2Etyop_2Enum_2Enum: $tType). 2.02/0.69 thf(func_def_0, type, u: $tType). 2.02/0.69 thf(func_def_1, type, d: $tType). 2.02/0.69 thf(func_def_2, type, du: $tType). 2.02/0.69 thf(func_def_3, type, mono_2Etyop_2Einteger_2Eint: $tType). 2.02/0.69 thf(func_def_4, type, mono_2Etyop_2Enum_2Enum: $tType). 2.02/0.69 thf(func_def_5, type, tyop_2Ebool_2Eitself: d > d). 2.02/0.69 thf(func_def_6, type, tyop_2Efcp_2Ecart: d > d > d). 2.02/0.69 thf(func_def_7, type, tyop_2Einteger_2Eint: d). 2.02/0.69 thf(func_def_8, type, tyop_2Emin_2Ebool: d). 2.02/0.69 thf(func_def_9, type, tyop_2Emin_2Efun: d > d > d). 2.02/0.69 thf(func_def_10, type, tyop_2Enum_2Enum: d). 2.02/0.69 thf(func_def_11, type, s: d > u > du). 2.02/0.69 thf(func_def_12, type, app_2E2: du > du > u). 2.02/0.69 thf(func_def_13, type, combin_i_2E0: u). 2.02/0.69 thf(func_def_14, type, combin_k_2E0: u). 2.02/0.69 thf(func_def_15, type, combin_s_2E0: u). 2.02/0.69 thf(func_def_16, type, c_2Ebool_2E_21_2E0: u). 2.02/0.69 thf(func_def_17, type, c_2Ebool_2E_21_2E1: du > u). 2.02/0.69 thf(func_def_18, type, c_2Ebool_2E_2F_5C_2E0: u). 2.02/0.69 thf(func_def_19, type, c_2Ebool_2E_2F_5C_2E2: du > du > u). 2.02/0.69 thf(func_def_20, type, c_2Enum_2E0_2E0: u). 2.02/0.69 thf(func_def_21, type, c_2Eprim__rec_2E_3C_2E0: u). 2.02/0.69 thf(func_def_22, type, c_2Eprim__rec_2E_3C_2E2: du > du > u). 2.02/0.69 thf(func_def_23, type, c_2Emin_2E_3D_2E0: u). 2.02/0.69 thf(func_def_24, type, c_2Emin_2E_3D_2E2: du > du > u). 2.02/0.69 thf(func_def_25, type, c_2Emin_2E_3D_3D_3E_2E0: u). 2.02/0.69 thf(func_def_26, type, c_2Emin_2E_3D_3D_3E_2E2: du > du > u). 2.02/0.69 thf(func_def_27, type, c_2Ebool_2E_3F_2E0: u). 2.02/0.69 thf(func_def_28, type, c_2Ebool_2E_3F_2E1: du > u). 2.02/0.69 thf(func_def_29, type, c_2Ebool_2ECOND_2E0: u). 2.02/0.69 thf(func_def_30, type, c_2Ebool_2ECOND_2E3: du > du > du > u). 2.02/0.69 thf(func_def_31, type, c_2Ebool_2EF_2E0: u). 2.02/0.69 thf(func_def_32, type, c_2Earithmetic_2EMOD_2E0: u). 2.02/0.69 thf(func_def_33, type, c_2Earithmetic_2EMOD_2E2: du > du > u). 2.02/0.69 thf(func_def_34, type, c_2Einteger_2ENum_2E0: u). 2.02/0.69 thf(func_def_35, type, c_2Einteger_2ENum_2E1: du > u). 2.02/0.69 thf(func_def_36, type, c_2Ebool_2ET_2E0: u). 2.02/0.69 thf(func_def_37, type, c_2Ebool_2E_5C_2F_2E0: u). 2.02/0.69 thf(func_def_38, type, c_2Ebool_2E_5C_2F_2E2: du > du > u). 2.02/0.69 thf(func_def_39, type, c_2Ewords_2Edimword_2E0: u). 2.02/0.69 thf(func_def_40, type, c_2Ewords_2Edimword_2E1: du > u). 2.02/0.69 thf(func_def_41, type, c_2Einteger__word_2Ei2w_2E0: u). 2.02/0.69 thf(func_def_42, type, c_2Einteger__word_2Ei2w_2E1: du > u). 2.02/0.69 thf(func_def_43, type, c_2Einteger_2Eint__lt_2E0: u). 2.02/0.69 thf(func_def_44, type, c_2Einteger_2Eint__lt_2E2: du > du > u). 2.02/0.69 thf(func_def_45, type, c_2Einteger_2Eint__neg_2E0: u). 2.02/0.69 thf(func_def_46, type, c_2Einteger_2Eint__neg_2E1: du > u). 2.02/0.69 thf(func_def_47, type, c_2Einteger_2Eint__of__num_2E0: u). 2.02/0.69 thf(func_def_48, type, c_2Einteger_2Eint__of__num_2E1: du > u). 2.02/0.69 thf(func_def_49, type, c_2Ewords_2En2w_2E0: u). 2.02/0.69 thf(func_def_50, type, c_2Ewords_2En2w_2E1: du > u). 2.02/0.69 thf(func_def_51, type, c_2Ebool_2Ethe__value_2E0: u). 2.02/0.69 thf(func_def_52, type, c_2Ewords_2Eword__2comp_2E0: u). 2.02/0.69 thf(func_def_53, type, c_2Ewords_2Eword__2comp_2E1: du > u). 2.02/0.69 thf(func_def_54, type, c_2Ebool_2E_7E_2E0: u). 2.02/0.69 thf(func_def_55, type, c_2Ebool_2E_7E_2E1: du > u). 2.02/0.69 thf(func_def_56, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ($o > $o) > $o > $o). 2.02/0.69 thf(func_def_57, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ($o > $o > $o) > $o > $o > $o). 2.02/0.69 thf(func_def_58, type, mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool: (mono_2Etyop_2Einteger_2Eint > $o) > mono_2Etyop_2Einteger_2Eint > $o). 2.02/0.69 thf(func_def_59, type, mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: (mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o). 2.02/0.69 thf(func_def_60, type, mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint: (mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint). 2.02/0.69 thf(func_def_61, type, mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Enum_2Enum: (mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum). 2.02/0.69 thf(func_def_62, type, mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: (mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Enum_2Enum > $o). 2.02/0.69 thf(func_def_63, type, mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o). 2.02/0.69 thf(func_def_64, type, mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 2.02/0.69 thf(func_def_65, type, mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Einteger_2Eint: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint). 2.02/0.69 thf(func_def_66, type, mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 2.02/0.69 thf(func_def_67, type, mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o). 2.02/0.69 thf(func_def_68, type, mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum). 2.02/0.69 thf(func_def_69, type, mono_2Ec_2Eprim__rec_2E_3C: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o). 2.02/0.69 thf(func_def_70, type, mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o). 2.02/0.69 thf(func_def_72, type, mono_2Ec_2Earithmetic_2EMOD: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 2.02/0.69 thf(func_def_73, type, mono_2Ec_2Einteger_2ENum: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum). 2.02/0.69 thf(func_def_75, type, mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o). 2.02/0.69 thf(func_def_76, type, mono_2Ec_2Einteger_2Eint__lt: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o). 2.02/0.69 thf(func_def_77, type, mono_2Ec_2Einteger_2Eint__neg: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint). 2.02/0.69 thf(func_def_78, type, mono_2Ec_2Einteger_2Eint__of__num: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint). 2.02/0.69 thf(func_def_79, type, mono_2Ec_2Ebool_2E_7E: $o > $o). 2.02/0.69 thf(func_def_80, type, i_mono_2Etyop_2Emin_2Ebool: $o > u). 2.02/0.69 thf(func_def_81, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ($o > $o) > u). 2.02/0.69 thf(func_def_82, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ($o > $o > $o) > u). 2.02/0.69 thf(func_def_83, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: (mono_2Etyop_2Einteger_2Eint > $o) > u). 2.02/0.69 thf(func_def_84, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: (mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o) > u). 2.02/0.69 thf(func_def_85, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: (mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint) > u). 2.02/0.69 thf(func_def_86, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29: (mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum) > u). 2.02/0.69 thf(func_def_87, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: (mono_2Etyop_2Enum_2Enum > $o) > u). 2.02/0.69 thf(func_def_88, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o) > u). 2.02/0.69 thf(func_def_89, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum) > u). 2.02/0.69 thf(func_def_90, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint) > u). 2.02/0.69 thf(func_def_91, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum) > u). 2.02/0.69 thf(func_def_92, type, i_mono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > u). 2.02/0.69 thf(func_def_93, type, i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u). 2.02/0.69 thf(func_def_94, type, j_mono_2Etyop_2Emin_2Ebool: du > $o). 2.02/0.69 thf(func_def_95, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o). 2.02/0.69 thf(func_def_96, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o). 2.02/0.69 thf(func_def_97, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Einteger_2Eint > $o). 2.02/0.69 thf(func_def_98, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o). 2.02/0.69 thf(func_def_99, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint). 2.02/0.69 thf(func_def_100, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum). 2.02/0.69 thf(func_def_101, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Enum_2Enum > $o). 2.02/0.69 thf(func_def_102, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o). 2.02/0.69 thf(func_def_103, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 2.02/0.69 thf(func_def_104, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint). 2.02/0.69 thf(func_def_105, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 2.02/0.69 thf(func_def_106, type, j_mono_2Etyop_2Einteger_2Eint: du > mono_2Etyop_2Einteger_2Eint). 2.02/0.69 thf(func_def_107, type, j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum). 2.02/0.69 thf(func_def_128, type, sK1: d). 2.02/0.69 thf(func_def_129, type, ph2: !>[X0: $tType]:(X0)). 2.02/0.69 thf(f808,plain,( 2.02/0.69 $false), 2.02/0.69 inference(avatar_sat_refutation,[],[f342,f492,f705,f712,f807])). 2.02/0.69 thf(f807,plain,( 2.02/0.69 ~spl0_1 | ~spl0_3), 2.02/0.69 inference(avatar_contradiction_clause,[],[f806])). 2.02/0.69 thf(f806,plain,( 2.02/0.69 $false | (~spl0_1 | ~spl0_3)), 2.02/0.69 inference(trivial_inequality_removal,[],[f801])). 2.02/0.69 thf(f801,plain,( 2.02/0.69 ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))) != (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0))))) | (~spl0_1 | ~spl0_3)), 2.02/0.69 inference(superposition,[],[f307,f799])). 2.02/0.69 thf(f799,plain,( 2.02/0.69 ( ! [X0 : d] : (((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))))))) ) | (~spl0_1 | ~spl0_3)), 2.02/0.69 inference(forward_demodulation,[],[f798,f768])). 2.02/0.69 thf(f768,plain,( 2.02/0.69 ( ! [X2 : u,X3 : u,X1 : d] : (((s @ X1 @ X2) = (s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X1 @ X3) @ (s @ X1 @ X2))))) ) | ~spl0_3), 2.02/0.69 inference(forward_demodulation,[],[f520,f346])). 2.02/0.69 thf(f346,plain,( 2.02/0.69 (mono_2Ec_2Ebool_2EF = $false) | ~spl0_3), 2.02/0.69 inference(avatar_component_clause,[],[f344])). 2.02/0.69 thf(f344,plain,( 2.02/0.69 spl0_3 <=> (mono_2Ec_2Ebool_2EF = $false)), 2.02/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 2.02/0.69 thf(f520,plain,( 2.02/0.69 ( ! [X2 : u,X3 : u,X1 : d] : (((s @ X1 @ X2) = (s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ X1 @ X3) @ (s @ X1 @ X2))))) )), 2.02/0.69 inference(equality_proxy_clausification,[],[f519])). 2.02/0.69 thf(f519,plain,( 2.02/0.69 ( ! [X2 : u,X3 : u,X1 : d] : (($true = ((s @ X1 @ X2) = (s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ X1 @ X3) @ (s @ X1 @ X2)))))) )), 2.02/0.69 inference(beta_eta_normalization,[],[f518])). 2.02/0.69 thf(f518,plain,( 2.02/0.69 ( ! [X2 : u,X3 : u,X1 : d] : (($true = ((^[Y0 : u]: ((s @ X1 @ X2) = (s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ X1 @ Y0) @ (s @ X1 @ X2))))) @ X3))) )), 2.02/0.69 inference(pi_clausification,[],[f517])). 2.02/0.69 thf(f517,plain,( 2.02/0.69 ( ! [X2 : u,X1 : d] : (($true = (!! @ u @ (^[Y0 : u]: ((s @ X1 @ X2) = (s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ X1 @ Y0) @ (s @ X1 @ X2)))))))) )), 2.02/0.69 inference(beta_eta_normalization,[],[f516])). 2.02/0.69 thf(f516,plain,( 2.02/0.69 ( ! [X2 : u,X1 : d] : (($true = ((^[Y0 : u]: (!! @ u @ (^[Y1 : u]: ((s @ X1 @ Y0) = (s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ X1 @ Y1) @ (s @ X1 @ Y0))))))) @ X2))) )), 2.02/0.69 inference(pi_clausification,[],[f510])). 2.02/0.69 thf(f510,plain,( 2.02/0.69 ( ! [X1 : d] : (($true = (!! @ u @ (^[Y0 : u]: (!! @ u @ (^[Y1 : u]: ((s @ X1 @ Y0) = (s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ X1 @ Y1) @ (s @ X1 @ Y0)))))))))) )), 2.02/0.69 inference(binary_proxy_clausification,[],[f508])). 2.02/0.69 thf(f508,plain,( 2.02/0.69 ( ! [X1 : d] : (($true = ((!! @ u @ (^[Y0 : u]: (!! @ u @ (^[Y1 : u]: ((s @ X1 @ Y0) = (s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ X1 @ Y1) @ (s @ X1 @ Y0)))))))) & (!! @ u @ (^[Y0 : u]: (!! @ u @ (^[Y1 : u]: ((s @ X1 @ Y1) = (s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X1 @ Y1) @ (s @ X1 @ Y0))))))))))) )), 2.02/0.69 inference(beta_eta_normalization,[],[f507])). 2.02/0.69 thf(f507,plain,( 2.02/0.69 ( ! [X1 : d] : ((((^[Y0 : d]: ((!! @ u @ (^[Y1 : u]: (!! @ u @ (^[Y2 : u]: ((s @ Y0 @ Y1) = (s @ Y0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ Y0 @ Y2) @ (s @ Y0 @ Y1)))))))) & (!! @ u @ (^[Y1 : u]: (!! @ u @ (^[Y2 : u]: ((s @ Y0 @ Y2) = (s @ Y0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ Y0 @ Y2) @ (s @ Y0 @ Y1)))))))))) @ X1) = $true)) )), 2.02/0.69 inference(pi_clausification,[],[f284])). 2.02/0.69 thf(f284,plain,( 2.02/0.69 ((!! @ d @ (^[Y0 : d]: ((!! @ u @ (^[Y1 : u]: (!! @ u @ (^[Y2 : u]: ((s @ Y0 @ Y1) = (s @ Y0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ Y0 @ Y2) @ (s @ Y0 @ Y1)))))))) & (!! @ u @ (^[Y1 : u]: (!! @ u @ (^[Y2 : u]: ((s @ Y0 @ Y2) = (s @ Y0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ Y0 @ Y2) @ (s @ Y0 @ Y1))))))))))) = $true)), 2.02/0.69 inference(definition_unfolding,[],[f261,f257])). 2.02/0.69 thf(f257,plain,( 2.02/0.69 (mono_2Ec_2Ebool_2ET = $true)), 2.02/0.69 inference(cnf_transformation,[],[f173])). 2.02/0.69 thf(f173,plain,( 2.02/0.69 (mono_2Ec_2Ebool_2ET = $true)), 2.02/0.69 inference(fool_elimination,[],[f172])). 2.02/0.69 thf(f172,plain,( 2.02/0.69 mono_2Ec_2Ebool_2ET), 2.02/0.69 inference(rectify,[],[f40])). 2.02/0.69 thf(f40,axiom,( 2.02/0.69 mono_2Ec_2Ebool_2ET), 2.02/0.69 file('/export/starexec/sandbox2/tmp/tmp.shF7P2U28u/E---3.1_26249.p',thm_2Ebool_2ETRUTH)). 2.02/0.69 thf(f261,plain,( 2.02/0.69 ($true = (!! @ d @ (^[Y0 : d]: ((!! @ u @ (^[Y1 : u]: (!! @ u @ (^[Y2 : u]: ((s @ Y0 @ Y1) = (s @ Y0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ Y0 @ Y2) @ (s @ Y0 @ Y1)))))))) & (!! @ u @ (^[Y1 : u]: (!! @ u @ (^[Y2 : u]: ((s @ Y0 @ Y2) = (s @ Y0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET)) @ (s @ Y0 @ Y2) @ (s @ Y0 @ Y1))))))))))))), 2.02/0.69 inference(cnf_transformation,[],[f147])). 2.02/0.69 thf(f147,plain,( 2.02/0.69 ($true = (!! @ d @ (^[Y0 : d]: ((!! @ u @ (^[Y1 : u]: (!! @ u @ (^[Y2 : u]: ((s @ Y0 @ Y1) = (s @ Y0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ Y0 @ Y2) @ (s @ Y0 @ Y1)))))))) & (!! @ u @ (^[Y1 : u]: (!! @ u @ (^[Y2 : u]: ((s @ Y0 @ Y2) = (s @ Y0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET)) @ (s @ Y0 @ Y2) @ (s @ Y0 @ Y1))))))))))))), 2.02/0.69 inference(fool_elimination,[],[f146])). 2.02/0.69 thf(f146,plain,( 2.02/0.69 ! [X0 : d] : (! [X1 : u,X2 : u] : ((s @ X0 @ X1) = (s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET)) @ (s @ X0 @ X1) @ (s @ X0 @ X2)))) & ! [X3 : u,X4 : u] : ((s @ X0 @ X4) = (s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ X0 @ X3) @ (s @ X0 @ X4)))))), 2.02/0.69 inference(rectify,[],[f64])). 2.02/0.69 thf(f64,axiom,( 2.02/0.69 ! [X0 : d] : (! [X30 : u,X31 : u] : ((s @ X0 @ X30) = (s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET)) @ (s @ X0 @ X30) @ (s @ X0 @ X31)))) & ! [X32 : u,X33 : u] : ((s @ X0 @ X33) = (s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ X0 @ X32) @ (s @ X0 @ X33)))))), 2.02/0.69 file('/export/starexec/sandbox2/tmp/tmp.shF7P2U28u/E---3.1_26249.p',thm_2Ebool_2Ebool__case__thm)). 2.02/0.69 thf(f798,plain,( 2.02/0.69 ( ! [X0 : d] : (((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))))))) ) | ~spl0_1), 2.02/0.69 inference(forward_demodulation,[],[f720,f746])). 2.02/0.69 thf(f746,plain,( 2.02/0.69 ( ! [X0 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X0) @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)) = $false)) ) | ~spl0_1), 2.02/0.69 inference(superposition,[],[f337,f264])). 2.02/0.69 thf(f264,plain,( 2.02/0.69 ((mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0) = (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))), 2.02/0.69 inference(cnf_transformation,[],[f184])). 2.02/0.69 thf(f184,plain,( 2.02/0.69 ((mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0) = (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))), 2.02/0.69 inference(fool_elimination,[],[f77])). 2.02/0.69 thf(f77,axiom,( 2.02/0.69 ((mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0) = (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))), 2.02/0.69 file('/export/starexec/sandbox2/tmp/tmp.shF7P2U28u/E---3.1_26249.p',thm_2Einteger_2EINT__NEG__0)). 2.02/0.69 thf(f337,plain,( 2.02/0.69 ( ! [X2 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : (($false = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X1) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X2))))) ) | ~spl0_1), 2.02/0.69 inference(avatar_component_clause,[],[f336])). 2.02/0.69 thf(f336,plain,( 2.02/0.69 spl0_1 <=> ! [X2 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : ($false = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X1) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X2))))), 2.02/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 2.02/0.69 thf(f720,plain,( 2.02/0.69 ( ! [X0 : d] : (((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0) @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))))))) )), 2.02/0.69 inference(forward_demodulation,[],[f719,f379])). 2.02/0.69 thf(f379,plain,( 2.02/0.69 ( ! [X1 : d] : (((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))))))) )), 2.02/0.69 inference(equality_proxy_clausification,[],[f378])). 2.02/0.69 thf(f378,plain,( 2.02/0.69 ( ! [X1 : d] : (($true = ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0))))))))) )), 2.02/0.69 inference(beta_eta_normalization,[],[f377])). 2.02/0.69 thf(f377,plain,( 2.02/0.69 ( ! [X1 : d] : (($true = ((^[Y0 : d]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))))))) @ X1))) )), 2.02/0.69 inference(pi_clausification,[],[f279])). 2.02/0.69 thf(f279,plain,( 2.02/0.69 ($true = (!! @ d @ (^[Y0 : d]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0))))))))))), 2.02/0.69 inference(cnf_transformation,[],[f235])). 2.02/0.69 thf(f235,plain,( 2.02/0.69 ($true = (!! @ d @ (^[Y0 : d]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0))))))))))), 2.02/0.69 inference(fool_elimination,[],[f49])). 2.02/0.69 thf(f49,axiom,( 2.02/0.69 ! [X0 : d] : ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))))))), 2.02/0.69 file('/export/starexec/sandbox2/tmp/tmp.shF7P2U28u/E---3.1_26249.p',thm_2Ewords_2EWORD__NEG__0)). 2.02/0.69 thf(f719,plain,( 2.02/0.69 ( ! [X0 : d] : (((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0) @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))))))) )), 2.02/0.69 inference(forward_demodulation,[],[f715,f303])). 2.02/0.69 thf(f303,plain,( 2.02/0.69 ( ! [X1 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__of__num @ X1)) = X1)) )), 2.02/0.69 inference(equality_proxy_clausification,[],[f302])). 2.02/0.69 thf(f302,plain,( 2.02/0.69 ( ! [X1 : mono_2Etyop_2Enum_2Enum] : (($true = ((mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__of__num @ X1)) = X1))) )), 2.02/0.69 inference(beta_eta_normalization,[],[f301])). 2.02/0.69 thf(f301,plain,( 2.02/0.69 ( ! [X1 : mono_2Etyop_2Enum_2Enum] : (($true = ((^[Y0 : mono_2Etyop_2Enum_2Enum]: ((mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0)) = Y0)) @ X1))) )), 2.02/0.69 inference(pi_clausification,[],[f260])). 2.02/0.69 thf(f260,plain,( 2.02/0.69 ($true = (!! @ mono_2Etyop_2Enum_2Enum @ (^[Y0 : mono_2Etyop_2Enum_2Enum]: ((mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0)) = Y0))))), 2.02/0.69 inference(cnf_transformation,[],[f167])). 2.02/0.69 thf(f167,plain,( 2.02/0.69 ($true = (!! @ mono_2Etyop_2Enum_2Enum @ (^[Y0 : mono_2Etyop_2Enum_2Enum]: ((mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0)) = Y0))))), 2.02/0.69 inference(fool_elimination,[],[f166])). 2.02/0.69 thf(f166,plain,( 2.02/0.69 ! [X0 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__of__num @ X0)) = X0)), 2.02/0.69 inference(rectify,[],[f53])). 2.02/0.69 thf(f53,axiom,( 2.02/0.69 ! [X17 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__of__num @ X17)) = X17)), 2.02/0.69 file('/export/starexec/sandbox2/tmp/tmp.shF7P2U28u/E---3.1_26249.p',thm_2Einteger_2ENUM__OF__INT)). 2.02/0.69 thf(f715,plain,( 2.02/0.69 ( ! [X0 : d] : (((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0) @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))))))))) )), 2.02/0.69 inference(superposition,[],[f502,f264])). 2.02/0.69 thf(f502,plain,( 2.02/0.69 ( ! [X2 : mono_2Etyop_2Einteger_2Eint,X1 : d] : (((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ X2)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Einteger_2Eint__lt @ X2 @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__neg @ X2)))))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ X2))))))))) )), 2.02/0.69 inference(equality_proxy_clausification,[],[f501])). 2.02/0.69 thf(f501,plain,( 2.02/0.69 ( ! [X2 : mono_2Etyop_2Einteger_2Eint,X1 : d] : (($true = ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ X2)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Einteger_2Eint__lt @ X2 @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__neg @ X2)))))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ X2)))))))))) )), 2.02/0.69 inference(beta_eta_normalization,[],[f500])). 2.02/0.69 thf(f500,plain,( 2.02/0.69 ( ! [X2 : mono_2Etyop_2Einteger_2Eint,X1 : d] : (($true = ((^[Y0 : mono_2Etyop_2Einteger_2Eint]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ Y0)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Einteger_2Eint__lt @ Y0 @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__neg @ Y0)))))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ Y0))))))))) @ X2))) )), 2.02/0.69 inference(pi_clausification,[],[f499])). 2.02/0.69 thf(f499,plain,( 2.02/0.69 ( ! [X1 : d] : (($true = (!! @ mono_2Etyop_2Einteger_2Eint @ (^[Y0 : mono_2Etyop_2Einteger_2Eint]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ Y0)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Einteger_2Eint__lt @ Y0 @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__neg @ Y0)))))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ Y0)))))))))))) )), 2.02/0.69 inference(beta_eta_normalization,[],[f498])). 2.02/0.69 thf(f498,plain,( 2.02/0.69 ( ! [X1 : d] : (($true = ((^[Y0 : d]: (!! @ mono_2Etyop_2Einteger_2Eint @ (^[Y1 : mono_2Etyop_2Einteger_2Eint]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ Y1)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Einteger_2Eint__lt @ Y1 @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__neg @ Y1)))))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ Y1))))))))))) @ X1))) )), 2.02/0.69 inference(pi_clausification,[],[f282])). 2.02/0.69 thf(f282,plain,( 2.02/0.69 ($true = (!! @ d @ (^[Y0 : d]: (!! @ mono_2Etyop_2Einteger_2Eint @ (^[Y1 : mono_2Etyop_2Einteger_2Eint]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ Y1)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Einteger_2Eint__lt @ Y1 @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__neg @ Y1)))))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ Y1)))))))))))))), 2.02/0.69 inference(cnf_transformation,[],[f216])). 2.02/0.69 thf(f216,plain,( 2.02/0.69 ($true = (!! @ d @ (^[Y0 : d]: (!! @ mono_2Etyop_2Einteger_2Eint @ (^[Y1 : mono_2Etyop_2Einteger_2Eint]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ Y1)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Einteger_2Eint__lt @ Y1 @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__neg @ Y1)))))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ Y1)))))))))))))), 2.02/0.69 inference(fool_elimination,[],[f215])). 2.02/0.69 thf(f215,plain,( 2.02/0.69 ! [X0 : mono_2Etyop_2Einteger_2Eint,X1 : d] : ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ X0)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Einteger_2Eint__lt @ X0 @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__neg @ X0)))))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ X0))))))))), 2.02/0.69 inference(rectify,[],[f10])). 2.02/0.69 thf(f10,axiom,( 2.02/0.69 ! [X10 : mono_2Etyop_2Einteger_2Eint,X0 : d] : ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ X10)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Einteger_2Eint__lt @ X10 @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__neg @ X10)))))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ X10))))))))), 2.02/0.69 file('/export/starexec/sandbox2/tmp/tmp.shF7P2U28u/E---3.1_26249.p',thm_2Einteger__word_2Ei2w__def)). 2.02/0.69 thf(f307,plain,( 2.02/0.69 ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))))) != (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))))), 2.02/0.69 inference(equality_proxy_clausification,[],[f306])). 2.02/0.69 thf(f306,plain,( 2.02/0.69 ($false = ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))))))), 2.02/0.69 inference(beta_eta_normalization,[],[f305])). 2.02/0.69 thf(f305,plain,( 2.02/0.69 ($false = ((^[Y0 : d]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))))))) @ sK1))), 2.02/0.69 inference(sigma_clausification,[],[f304])). 2.02/0.69 thf(f304,plain,( 2.02/0.69 ($false = (!! @ d @ (^[Y0 : d]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))))))))), 2.02/0.69 inference(not_proxy_clausification,[],[f268])). 2.02/0.69 thf(f268,plain,( 2.02/0.69 ($true = (~ (!! @ d @ (^[Y0 : d]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))))))))))), 2.02/0.69 inference(cnf_transformation,[],[f238])). 2.02/0.69 thf(f238,plain,( 2.02/0.69 ($true = (~ (!! @ d @ (^[Y0 : d]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ Y0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))))))))))), 2.02/0.69 inference(fool_elimination,[],[f86])). 2.02/0.69 thf(f86,negated_conjecture,( 2.02/0.69 ~! [X0 : d] : ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))))))), 2.02/0.69 inference(negated_conjecture,[],[f85])). 2.02/0.69 thf(f85,conjecture,( 2.02/0.69 ! [X0 : d] : ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))))))), 2.02/0.69 file('/export/starexec/sandbox2/tmp/tmp.shF7P2U28u/E---3.1_26249.p',thm_2Einteger__word_2Ei2w__0)). 2.02/0.69 thf(f712,plain,( 2.02/0.69 ~spl0_2 | ~spl0_3), 2.02/0.69 inference(avatar_contradiction_clause,[],[f711])). 2.02/0.69 thf(f711,plain,( 2.02/0.69 $false | (~spl0_2 | ~spl0_3)), 2.02/0.69 inference(trivial_inequality_removal,[],[f710])). 2.02/0.69 thf(f710,plain,( 2.02/0.69 ($true = $false) | (~spl0_2 | ~spl0_3)), 2.02/0.69 inference(backward_demodulation,[],[f341,f346])). 2.02/0.69 thf(f341,plain,( 2.02/0.69 (mono_2Ec_2Ebool_2EF = $true) | ~spl0_2), 2.02/0.69 inference(avatar_component_clause,[],[f339])). 2.02/0.69 thf(f339,plain,( 2.02/0.69 spl0_2 <=> (mono_2Ec_2Ebool_2EF = $true)), 2.02/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 2.02/0.69 thf(f705,plain,( 2.02/0.69 ~spl0_5), 2.02/0.69 inference(avatar_contradiction_clause,[],[f704])). 2.02/0.69 thf(f704,plain,( 2.02/0.69 $false | ~spl0_5), 2.02/0.69 inference(trivial_inequality_removal,[],[f703])). 2.02/0.69 thf(f703,plain,( 2.02/0.69 ($true = $false) | ~spl0_5), 2.02/0.69 inference(superposition,[],[f386,f423])). 2.02/0.69 thf(f423,plain,( 2.02/0.69 ( ! [X2 : $o] : (($true = X2)) ) | ~spl0_5), 2.02/0.69 inference(avatar_component_clause,[],[f422])). 2.02/0.69 thf(f422,plain,( 2.02/0.69 spl0_5 <=> ! [X2 : $o] : ($true = X2)), 2.02/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 2.02/0.69 thf(f386,plain,( 2.02/0.69 ( ! [X1 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Eprim__rec_2E_3C @ X1 @ mono_2Ec_2Enum_2E0) = $false)) )), 2.02/0.69 inference(not_proxy_clausification,[],[f385])). 2.02/0.69 thf(f385,plain,( 2.02/0.69 ( ! [X1 : mono_2Etyop_2Enum_2Enum] : (((~ (mono_2Ec_2Eprim__rec_2E_3C @ X1 @ mono_2Ec_2Enum_2E0)) = $true)) )), 2.02/0.69 inference(beta_eta_normalization,[],[f384])). 2.02/0.69 thf(f384,plain,( 2.02/0.69 ( ! [X1 : mono_2Etyop_2Enum_2Enum] : (($true = ((^[Y0 : mono_2Etyop_2Enum_2Enum]: (~ (mono_2Ec_2Eprim__rec_2E_3C @ Y0 @ mono_2Ec_2Enum_2E0))) @ X1))) )), 2.02/0.69 inference(pi_clausification,[],[f280])). 2.02/0.69 thf(f280,plain,( 2.02/0.69 ($true = (!! @ mono_2Etyop_2Enum_2Enum @ (^[Y0 : mono_2Etyop_2Enum_2Enum]: (~ (mono_2Ec_2Eprim__rec_2E_3C @ Y0 @ mono_2Ec_2Enum_2E0)))))), 2.02/0.69 inference(cnf_transformation,[],[f157])). 2.02/0.69 thf(f157,plain,( 2.02/0.69 ($true = (!! @ mono_2Etyop_2Enum_2Enum @ (^[Y0 : mono_2Etyop_2Enum_2Enum]: (~ (mono_2Ec_2Eprim__rec_2E_3C @ Y0 @ mono_2Ec_2Enum_2E0)))))), 2.02/0.69 inference(fool_elimination,[],[f156])). 2.02/0.69 thf(f156,plain,( 2.02/0.69 ! [X0 : mono_2Etyop_2Enum_2Enum] : (~ (mono_2Ec_2Eprim__rec_2E_3C @ X0 @ mono_2Ec_2Enum_2E0))), 2.02/0.69 inference(rectify,[],[f41])). 2.02/0.69 thf(f41,axiom,( 2.02/0.69 ! [X17 : mono_2Etyop_2Enum_2Enum] : (~ (mono_2Ec_2Eprim__rec_2E_3C @ X17 @ mono_2Ec_2Enum_2E0))), 2.02/0.69 file('/export/starexec/sandbox2/tmp/tmp.shF7P2U28u/E---3.1_26249.p',thm_2Eprim__rec_2ENOT__LESS__0)). 2.02/0.69 thf(f492,plain,( 2.02/0.69 spl0_5 | spl0_3), 2.02/0.69 inference(avatar_split_clause,[],[f491,f344,f422])). 2.02/0.69 thf(f491,plain,( 2.02/0.69 ( ! [X1 : $o] : ((mono_2Ec_2Ebool_2EF = $false) | ($true = X1)) )), 2.02/0.69 inference(binary_proxy_clausification,[],[f490])). 2.02/0.69 thf(f490,plain,( 2.02/0.69 ( ! [X1 : $o] : (($true = (mono_2Ec_2Ebool_2EF => X1))) )), 2.02/0.69 inference(pi_clausification,[],[f289])). 2.02/0.69 thf(f289,plain,( 2.02/0.69 ((!! @ $o @ (=> @ mono_2Ec_2Ebool_2EF)) = $true)), 2.02/0.69 inference(beta_eta_normalization,[],[f281])). 2.02/0.69 thf(f281,plain,( 2.02/0.69 ($true = (!! @ $o @ (^[Y0 : $o]: (mono_2Ec_2Ebool_2EF => Y0))))), 2.02/0.69 inference(cnf_transformation,[],[f159])). 2.02/0.69 thf(f159,plain,( 2.02/0.69 ($true = (!! @ $o @ (^[Y0 : $o]: (mono_2Ec_2Ebool_2EF => Y0))))), 2.02/0.69 inference(fool_elimination,[],[f158])). 2.02/0.69 thf(f158,plain,( 2.02/0.69 ! [X0 : $o] : (mono_2Ec_2Ebool_2EF => X0)), 2.02/0.69 inference(rectify,[],[f37])). 2.02/0.69 thf(f37,axiom,( 2.02/0.69 ! [X22 : $o] : (mono_2Ec_2Ebool_2EF => X22)), 2.02/0.69 file('/export/starexec/sandbox2/tmp/tmp.shF7P2U28u/E---3.1_26249.p',thm_2Ebool_2EFALSITY)). 2.02/0.69 thf(f342,plain,( 2.02/0.69 spl0_1 | spl0_2), 2.02/0.69 inference(avatar_split_clause,[],[f333,f339,f336])). 2.02/0.69 thf(f333,plain,( 2.02/0.69 ( ! [X2 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Ebool_2EF = $true) | ($false = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X1) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X2))))) )), 2.02/0.69 inference(binary_proxy_clausification,[],[f332])). 2.02/0.69 thf(f332,plain,( 2.02/0.69 ( ! [X2 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Ebool_2EF = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X1) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X2))))) )), 2.02/0.69 inference(equality_proxy_clausification,[],[f330])). 2.02/0.69 thf(f330,plain,( 2.02/0.69 ( ! [X2 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : (($true = (mono_2Ec_2Ebool_2EF = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X1) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X2)))))) )), 2.02/0.69 inference(binary_proxy_clausification,[],[f315])). 2.02/0.69 thf(f315,plain,( 2.02/0.69 ( ! [X2 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : (($true = (((mono_2Ec_2Eprim__rec_2E_3C @ X1 @ X2) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X1) @ (mono_2Ec_2Einteger_2Eint__of__num @ X2))) & (mono_2Ec_2Ebool_2EF = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X1) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X2))))))) )), 2.02/0.69 inference(binary_proxy_clausification,[],[f313])). 2.02/0.69 thf(f313,plain,( 2.02/0.69 ( ! [X2 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : (($true = ((((mono_2Ec_2Eprim__rec_2E_3C @ X1 @ X2) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X1) @ (mono_2Ec_2Einteger_2Eint__of__num @ X2))) & (mono_2Ec_2Ebool_2EF = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X1) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X2))))) & (((~ (mono_2Ec_2Enum_2E0 = X2)) | (~ (mono_2Ec_2Enum_2E0 = X1))) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X1)) @ (mono_2Ec_2Einteger_2Eint__of__num @ X2)))))) )), 2.02/0.69 inference(binary_proxy_clausification,[],[f311])). 2.02/0.69 thf(f311,plain,( 2.02/0.69 ( ! [X2 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : (((((((mono_2Ec_2Eprim__rec_2E_3C @ X1 @ X2) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X1) @ (mono_2Ec_2Einteger_2Eint__of__num @ X2))) & (mono_2Ec_2Ebool_2EF = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X1) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X2))))) & (((~ (mono_2Ec_2Enum_2E0 = X2)) | (~ (mono_2Ec_2Enum_2E0 = X1))) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X1)) @ (mono_2Ec_2Einteger_2Eint__of__num @ X2)))) & ((mono_2Ec_2Eprim__rec_2E_3C @ X2 @ X1) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X1)) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X2))))) = $true)) )), 2.02/0.69 inference(beta_eta_normalization,[],[f310])). 2.02/0.69 thf(f310,plain,( 2.02/0.69 ( ! [X2 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : (($true = ((^[Y0 : mono_2Etyop_2Enum_2Enum]: (((((mono_2Ec_2Eprim__rec_2E_3C @ X1 @ Y0) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X1) @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0))) & (mono_2Ec_2Ebool_2EF = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X1) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0))))) & (((~ (mono_2Ec_2Enum_2E0 = Y0)) | (~ (mono_2Ec_2Enum_2E0 = X1))) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X1)) @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0)))) & ((mono_2Ec_2Eprim__rec_2E_3C @ Y0 @ X1) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X1)) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0)))))) @ X2))) )), 2.02/0.69 inference(pi_clausification,[],[f309])). 2.02/0.69 thf(f309,plain,( 2.02/0.69 ( ! [X1 : mono_2Etyop_2Enum_2Enum] : (($true = (!! @ mono_2Etyop_2Enum_2Enum @ (^[Y0 : mono_2Etyop_2Enum_2Enum]: (((((mono_2Ec_2Eprim__rec_2E_3C @ X1 @ Y0) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X1) @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0))) & (mono_2Ec_2Ebool_2EF = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X1) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0))))) & (((~ (mono_2Ec_2Enum_2E0 = Y0)) | (~ (mono_2Ec_2Enum_2E0 = X1))) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X1)) @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0)))) & ((mono_2Ec_2Eprim__rec_2E_3C @ Y0 @ X1) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X1)) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0))))))))) )), 2.02/0.69 inference(beta_eta_normalization,[],[f308])). 2.02/0.69 thf(f308,plain,( 2.02/0.69 ( ! [X1 : mono_2Etyop_2Enum_2Enum] : (($true = ((^[Y0 : mono_2Etyop_2Enum_2Enum]: (!! @ mono_2Etyop_2Enum_2Enum @ (^[Y1 : mono_2Etyop_2Enum_2Enum]: (((((mono_2Ec_2Eprim__rec_2E_3C @ Y0 @ Y1) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0) @ (mono_2Ec_2Einteger_2Eint__of__num @ Y1))) & (mono_2Ec_2Ebool_2EF = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ Y1))))) & (((~ (mono_2Ec_2Enum_2E0 = Y1)) | (~ (mono_2Ec_2Enum_2E0 = Y0))) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0)) @ (mono_2Ec_2Einteger_2Eint__of__num @ Y1)))) & ((mono_2Ec_2Eprim__rec_2E_3C @ Y1 @ Y0) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0)) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ Y1)))))))) @ X1))) )), 2.02/0.69 inference(pi_clausification,[],[f263])). 2.02/0.69 thf(f263,plain,( 2.02/0.69 ($true = (!! @ mono_2Etyop_2Enum_2Enum @ (^[Y0 : mono_2Etyop_2Enum_2Enum]: (!! @ mono_2Etyop_2Enum_2Enum @ (^[Y1 : mono_2Etyop_2Enum_2Enum]: (((((mono_2Ec_2Eprim__rec_2E_3C @ Y0 @ Y1) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0) @ (mono_2Ec_2Einteger_2Eint__of__num @ Y1))) & (mono_2Ec_2Ebool_2EF = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ Y1))))) & (((~ (mono_2Ec_2Enum_2E0 = Y1)) | (~ (mono_2Ec_2Enum_2E0 = Y0))) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0)) @ (mono_2Ec_2Einteger_2Eint__of__num @ Y1)))) & ((mono_2Ec_2Eprim__rec_2E_3C @ Y1 @ Y0) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0)) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ Y1))))))))))), 2.02/0.69 inference(cnf_transformation,[],[f250])). 2.02/0.69 thf(f250,plain,( 2.02/0.69 ($true = (!! @ mono_2Etyop_2Enum_2Enum @ (^[Y0 : mono_2Etyop_2Enum_2Enum]: (!! @ mono_2Etyop_2Enum_2Enum @ (^[Y1 : mono_2Etyop_2Enum_2Enum]: (((((mono_2Ec_2Eprim__rec_2E_3C @ Y0 @ Y1) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0) @ (mono_2Ec_2Einteger_2Eint__of__num @ Y1))) & (mono_2Ec_2Ebool_2EF = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ Y1))))) & (((~ (mono_2Ec_2Enum_2E0 = Y1)) | (~ (mono_2Ec_2Enum_2E0 = Y0))) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0)) @ (mono_2Ec_2Einteger_2Eint__of__num @ Y1)))) & ((mono_2Ec_2Eprim__rec_2E_3C @ Y1 @ Y0) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ Y0)) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ Y1))))))))))), 2.02/0.69 inference(fool_elimination,[],[f249])). 2.02/0.69 thf(f249,plain,( 2.02/0.69 ! [X0 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X1)) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X0)))) & (((~ (mono_2Ec_2Enum_2E0 = X1)) | (~ (mono_2Ec_2Enum_2E0 = X0))) <=> (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X1)) @ (mono_2Ec_2Einteger_2Eint__of__num @ X0))) & (mono_2Ec_2Ebool_2EF = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X1) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X0)))) & ((mono_2Ec_2Eprim__rec_2E_3C @ X1 @ X0) = (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X1) @ (mono_2Ec_2Einteger_2Eint__of__num @ X0))))), 2.02/0.69 inference(rectify,[],[f15])). 2.02/0.69 thf(f15,axiom,( 2.02/0.69 ! [X18 : mono_2Etyop_2Enum_2Enum,X17 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X17)) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X18))) = (mono_2Ec_2Eprim__rec_2E_3C @ X18 @ X17)) & (((~ (mono_2Ec_2Enum_2E0 = X17)) | (~ (mono_2Ec_2Enum_2E0 = X18))) <=> (mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X17)) @ (mono_2Ec_2Einteger_2Eint__of__num @ X18))) & ((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X17) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ X18))) = mono_2Ec_2Ebool_2EF) & ((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ X17) @ (mono_2Ec_2Einteger_2Eint__of__num @ X18)) = (mono_2Ec_2Eprim__rec_2E_3C @ X17 @ X18)))), 2.02/0.69 file('/export/starexec/sandbox2/tmp/tmp.shF7P2U28u/E---3.1_26249.p',thm_2Einteger_2EINT__LT__CALCULATE)). 2.02/0.69 % SZS output end Proof for E---3.1_26249 2.02/0.69 % (26406)------------------------------ 2.02/0.69 % (26406)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.02/0.69 % (26406)Termination reason: Refutation 2.02/0.69 2.02/0.69 % (26406)Memory used [KB]: 6524 2.02/0.69 % (26406)Time elapsed: 0.072 s 2.02/0.69 % (26406)Instructions burned: 131 (million) 2.02/0.69 % (26406)------------------------------ 2.02/0.69 % (26406)------------------------------ 2.02/0.69 % (26360)Success in time 0.344 s 2.02/0.69 EOF