0.08/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.12 % Command : run_vampire %s %d THM 0.12/0.34 % Computer : n022.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1920 0.12/0.34 % WCLimit : 240 0.12/0.34 % DateTime : Wed Jul 30 08:23:49 EDT 2025 0.12/0.34 % CPUTime : 0.12/0.36 This is a THF_ problem 0.12/0.36 Running higher-order theorem proving 0.21/0.41 Running /export/starexec/sandbox/solver/bin/vampire-hol --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --print_def_sorts on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p -m 16384 -t 240 0.27/0.46 % (25353)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_25246 for (2399ds/183Mi) 0.27/0.46 % (25359)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_25246 for (2399ds/18Mi) 0.27/0.46 % (25356)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_25246 for (2399ds/2Mi) 0.27/0.46 % (25357)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_25246 for (2399ds/2Mi) 0.27/0.46 % (25355)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_25246 for (2399ds/27Mi) 0.27/0.46 % (25358)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_25246 for (2399ds/275Mi) 0.27/0.46 % (25354)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_25246 for (2399ds/4Mi) 0.27/0.46 % (25356)Instruction limit reached! 0.27/0.46 % (25356)------------------------------ 0.27/0.46 % (25356)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.27/0.46 % (25356)Termination reason: Unknown 0.27/0.46 % (25356)Termination phase: shuffling 0.27/0.46 0.27/0.46 % (25357)Instruction limit reached! 0.27/0.46 % (25357)------------------------------ 0.27/0.46 % (25357)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.27/0.46 % (25357)Termination reason: Unknown 0.27/0.46 % (25357)Termination phase: shuffling 0.27/0.46 0.27/0.46 % (25357)Memory used [KB]: 1535 0.27/0.46 % (25357)Time elapsed: 0.004 s 0.27/0.46 % (25357)Instructions burned: 2 (million) 0.27/0.46 % (25357)------------------------------ 0.27/0.46 % (25357)------------------------------ 0.27/0.46 % (25356)Memory used [KB]: 1535 0.27/0.46 % (25356)Time elapsed: 0.004 s 0.27/0.46 % (25356)Instructions burned: 2 (million) 0.27/0.46 % (25356)------------------------------ 0.27/0.46 % (25356)------------------------------ 0.27/0.46 % (25354)Instruction limit reached! 0.27/0.46 % (25354)------------------------------ 0.27/0.46 % (25354)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.27/0.46 % (25354)Termination reason: Unknown 0.27/0.46 % (25354)Termination phase: shuffling 0.27/0.46 0.27/0.46 % (25354)Memory used [KB]: 1535 0.27/0.46 % (25354)Time elapsed: 0.005 s 0.27/0.46 % (25354)Instructions burned: 5 (million) 0.27/0.46 % (25354)------------------------------ 0.27/0.46 % (25354)------------------------------ 0.27/0.47 % (25359)Instruction limit reached! 0.27/0.47 % (25359)------------------------------ 0.27/0.47 % (25359)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.27/0.47 % (25359)Termination reason: Unknown 0.27/0.47 % (25359)Termination phase: shuffling 0.27/0.47 0.27/0.47 % (25359)Memory used [KB]: 1791 0.27/0.47 % (25359)Time elapsed: 0.012 s 0.27/0.47 % (25359)Instructions burned: 18 (million) 0.27/0.47 % (25359)------------------------------ 0.27/0.47 % (25359)------------------------------ 0.27/0.48 % (25355)Instruction limit reached! 0.27/0.48 % (25355)------------------------------ 0.27/0.48 % (25355)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.27/0.48 % (25355)Termination reason: Unknown 0.27/0.48 % (25355)Termination phase: shuffling 0.27/0.48 0.27/0.48 % (25355)Memory used [KB]: 1918 0.27/0.48 % (25355)Time elapsed: 0.016 s 0.27/0.48 % (25355)Instructions burned: 27 (million) 0.27/0.48 % (25355)------------------------------ 0.27/0.48 % (25355)------------------------------ 0.27/0.48 % (25360)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_25246 for (2399ds/3Mi) 0.27/0.48 % (25361)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_25246 for (2399ds/37Mi) 0.27/0.48 % (25360)Instruction limit reached! 0.27/0.48 % (25360)------------------------------ 0.27/0.48 % (25360)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.27/0.48 % (25362)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_25246 for (2399ds/15Mi) 0.27/0.48 % (25360)Termination reason: Unknown 0.27/0.48 % (25360)Termination phase: shuffling 0.27/0.48 0.27/0.48 % (25360)Memory used [KB]: 1535 0.27/0.48 % (25360)Time elapsed: 0.004 s 0.27/0.48 % (25360)Instructions burned: 3 (million) 0.27/0.48 % (25360)------------------------------ 0.27/0.48 % (25360)------------------------------ 0.27/0.49 % (25363)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_25246 for (2399ds/3Mi) 0.27/0.49 % (25363)Instruction limit reached! 0.27/0.49 % (25363)------------------------------ 0.27/0.49 % (25363)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.27/0.49 % (25363)Termination reason: Unknown 0.27/0.49 % (25363)Termination phase: shuffling 0.27/0.49 0.27/0.49 % (25363)Memory used [KB]: 1535 0.27/0.49 % (25363)Time elapsed: 0.003 s 0.27/0.49 % (25363)Instructions burned: 3 (million) 0.27/0.49 % (25363)------------------------------ 0.27/0.49 % (25363)------------------------------ 0.27/0.49 % (25362)Instruction limit reached! 0.27/0.49 % (25362)------------------------------ 0.27/0.49 % (25362)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.27/0.49 % (25362)Termination reason: Unknown 0.27/0.49 % (25362)Termination phase: shuffling 0.27/0.49 0.27/0.49 % (25362)Memory used [KB]: 1791 0.27/0.49 % (25362)Time elapsed: 0.011 s 0.27/0.49 % (25362)Instructions burned: 16 (million) 0.27/0.49 % (25362)------------------------------ 0.27/0.49 % (25362)------------------------------ 0.27/0.49 % (25364)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_25246 for (2399ds/1041Mi) 0.27/0.50 % (25366)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_25246 for (2399ds/16Mi) 0.27/0.50 % (25361)Instruction limit reached! 0.27/0.50 % (25361)------------------------------ 0.27/0.50 % (25361)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.27/0.50 % (25361)Termination reason: Unknown 0.27/0.50 % (25361)Termination phase: shuffling 0.27/0.50 0.27/0.50 % (25361)Memory used [KB]: 2174 0.27/0.50 % (25361)Time elapsed: 0.021 s 0.27/0.50 % (25361)Instructions burned: 38 (million) 0.27/0.50 % (25361)------------------------------ 0.27/0.50 % (25361)------------------------------ 0.27/0.50 % (25365)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_25246 for (2399ds/7Mi) 0.27/0.50 % (25365)Instruction limit reached! 0.27/0.50 % (25365)------------------------------ 0.27/0.50 % (25365)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.27/0.50 % (25365)Termination reason: Unknown 0.27/0.50 % (25366)Instruction limit reached! 0.27/0.50 % (25366)------------------------------ 0.27/0.50 % (25366)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.27/0.50 % (25366)Termination reason: Unknown 0.27/0.50 % (25366)Termination phase: shuffling 0.27/0.50 0.27/0.50 % (25366)Memory used [KB]: 1791 0.27/0.50 % (25366)Time elapsed: 0.006 s 0.27/0.50 % (25366)Instructions burned: 16 (million) 0.27/0.50 % (25366)------------------------------ 0.27/0.50 % (25366)------------------------------ 0.27/0.50 % (25365)Termination phase: shuffling 0.27/0.50 0.27/0.50 % (25365)Memory used [KB]: 1535 0.27/0.50 % (25365)Time elapsed: 0.006 s 0.27/0.50 % (25365)Instructions burned: 7 (million) 0.27/0.50 % (25365)------------------------------ 0.27/0.50 % (25365)------------------------------ 0.27/0.51 % (25358)Refutation not found, incomplete strategy 0.27/0.51 % (25358)------------------------------ 0.27/0.51 % (25358)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.27/0.51 % (25358)Termination reason: Refutation not found, incomplete strategy 0.27/0.51 0.27/0.51 0.27/0.51 % (25358)Memory used [KB]: 6780 0.27/0.51 % (25358)Time elapsed: 0.049 s 0.27/0.51 % (25358)Instructions burned: 90 (million) 0.27/0.51 % (25358)------------------------------ 0.27/0.51 % (25358)------------------------------ 0.27/0.51 % (25367)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_25246 for (2399ds/3Mi) 0.27/0.51 % (25367)Instruction limit reached! 0.27/0.51 % (25367)------------------------------ 0.27/0.51 % (25367)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.27/0.51 % (25367)Termination reason: Unknown 0.27/0.51 % (25367)Termination phase: shuffling 0.27/0.51 0.27/0.51 % (25367)Memory used [KB]: 1535 0.27/0.51 % (25367)Time elapsed: 0.004 s 0.27/0.51 % (25367)Instructions burned: 3 (million) 0.27/0.51 % (25367)------------------------------ 0.27/0.51 % (25367)------------------------------ 0.27/0.51 % (25369)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_25246 for (2399ds/7Mi) 0.27/0.52 % (25369)Instruction limit reached! 0.27/0.52 % (25369)------------------------------ 0.27/0.52 % (25369)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.27/0.52 % (25369)Termination reason: Unknown 0.27/0.52 % (25369)Termination phase: shuffling 0.27/0.52 0.27/0.52 % (25369)Memory used [KB]: 1535 0.27/0.52 % (25369)Time elapsed: 0.004 s 0.27/0.52 % (25369)Instructions burned: 7 (million) 0.27/0.52 % (25369)------------------------------ 0.27/0.52 % (25369)------------------------------ 0.27/0.52 % (25368)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_25246 for (2399ds/3Mi) 0.27/0.52 % (25368)Instruction limit reached! 0.27/0.52 % (25368)------------------------------ 0.27/0.52 % (25368)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.27/0.52 % (25368)Termination reason: Unknown 0.27/0.52 % (25368)Termination phase: shuffling 0.27/0.52 0.27/0.52 % (25368)Memory used [KB]: 1535 0.27/0.52 % (25368)Time elapsed: 0.004 s 0.27/0.52 % (25368)Instructions burned: 4 (million) 0.27/0.52 % (25368)------------------------------ 0.27/0.52 % (25368)------------------------------ 0.27/0.52 % (25370)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_25246 for (2399ds/3Mi) 0.27/0.52 % (25370)Instruction limit reached! 0.27/0.52 % (25370)------------------------------ 0.27/0.52 % (25370)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.27/0.52 % (25370)Termination reason: Unknown 0.27/0.52 % (25370)Termination phase: shuffling 0.27/0.52 0.27/0.52 % (25370)Memory used [KB]: 1535 0.27/0.52 % (25370)Time elapsed: 0.004 s 0.27/0.52 % (25370)Instructions burned: 4 (million) 0.27/0.52 % (25370)------------------------------ 0.27/0.52 % (25370)------------------------------ 0.27/0.53 % (25371)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_25246 for (2399ds/4Mi) 0.27/0.53 % (25373)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_25246 for (2398ds/710Mi) 0.27/0.53 % (25371)Instruction limit reached! 0.27/0.53 % (25371)------------------------------ 0.27/0.53 % (25371)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.27/0.53 % (25371)Termination reason: Unknown 0.27/0.53 % (25371)Termination phase: shuffling 0.27/0.53 0.27/0.53 % (25371)Memory used [KB]: 1535 0.27/0.53 % (25371)Time elapsed: 0.004 s 0.27/0.53 % (25371)Instructions burned: 4 (million) 0.27/0.53 % (25371)------------------------------ 0.27/0.53 % (25371)------------------------------ 0.81/0.54 % (25374)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_25246 for (2398ds/6Mi) 0.81/0.54 % (25374)Instruction limit reached! 0.81/0.54 % (25374)------------------------------ 0.81/0.54 % (25374)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.81/0.54 % (25374)Termination reason: Unknown 0.81/0.54 % (25374)Termination phase: shuffling 0.81/0.54 0.81/0.54 % (25374)Memory used [KB]: 1535 0.81/0.54 % (25374)Time elapsed: 0.006 s 0.81/0.54 % (25374)Instructions burned: 7 (million) 0.81/0.54 % (25374)------------------------------ 0.81/0.54 % (25374)------------------------------ 0.81/0.54 % (25375)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_25246 for (2398ds/902Mi) 0.81/0.54 % (25353)Instruction limit reached! 0.81/0.54 % (25353)------------------------------ 0.81/0.54 % (25353)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.81/0.54 % (25353)Termination reason: Unknown 0.81/0.54 % (25372)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_25246 for (2399ds/18Mi) 0.81/0.54 % (25353)Termination phase: Function definition elimination 0.81/0.54 0.81/0.54 % (25353)Memory used [KB]: 2430 0.81/0.54 % (25353)Time elapsed: 0.083 s 0.81/0.54 % (25353)Instructions burned: 184 (million) 0.81/0.54 % (25353)------------------------------ 0.81/0.54 % (25353)------------------------------ 0.90/0.55 % (25376)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_25246 for (2398ds/21Mi) 0.90/0.55 % (25372)Instruction limit reached! 0.90/0.55 % (25372)------------------------------ 0.90/0.55 % (25372)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.90/0.55 % (25372)Termination reason: Unknown 0.90/0.55 % (25372)Termination phase: shuffling 0.90/0.55 0.90/0.55 % (25372)Memory used [KB]: 1791 0.90/0.55 % (25372)Time elapsed: 0.011 s 0.90/0.55 % (25372)Instructions burned: 18 (million) 0.90/0.55 % (25372)------------------------------ 0.90/0.55 % (25372)------------------------------ 0.90/0.56 % (25377)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_25246 for (2398ds/5Mi) 0.90/0.56 % (25377)Instruction limit reached! 0.90/0.56 % (25377)------------------------------ 0.90/0.56 % (25377)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.90/0.56 % (25377)Termination reason: Unknown 0.90/0.56 % (25377)Termination phase: shuffling 0.90/0.56 0.90/0.56 % (25377)Memory used [KB]: 1535 0.90/0.56 % (25377)Time elapsed: 0.004 s 0.90/0.56 % (25377)Instructions burned: 6 (million) 0.90/0.56 % (25377)------------------------------ 0.90/0.56 % (25377)------------------------------ 0.90/0.56 % (25376)Instruction limit reached! 0.90/0.56 % (25376)------------------------------ 0.90/0.56 % (25376)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.90/0.56 % (25376)Termination reason: Unknown 0.90/0.56 % (25376)Termination phase: shuffling 0.90/0.56 0.90/0.56 % (25376)Memory used [KB]: 1791 0.90/0.56 % (25376)Time elapsed: 0.014 s 0.90/0.56 % (25376)Instructions burned: 22 (million) 0.90/0.56 % (25376)------------------------------ 0.90/0.56 % (25376)------------------------------ 0.90/0.56 % (25378)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_25246 for (2398ds/6Mi) 0.90/0.56 % (25378)Instruction limit reached! 0.90/0.56 % (25378)------------------------------ 0.90/0.56 % (25378)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.90/0.56 % (25378)Termination reason: Unknown 0.90/0.56 % (25378)Termination phase: shuffling 0.90/0.56 0.90/0.56 % (25378)Memory used [KB]: 1535 0.90/0.56 % (25378)Time elapsed: 0.005 s 0.90/0.56 % (25378)Instructions burned: 6 (million) 0.90/0.56 % (25378)------------------------------ 0.90/0.56 % (25378)------------------------------ 0.90/0.57 % (25379)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_25246 for (2398ds/377Mi) 0.90/0.57 % (25380)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_25246 for (2398ds/779Mi) 0.90/0.58 % (25381)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_25246 for (2398ds/19Mi) 0.90/0.58 % (25382)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_25246 for (2398ds/879Mi) 0.90/0.59 % (25381)Instruction limit reached! 0.90/0.59 % (25381)------------------------------ 0.90/0.59 % (25381)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.90/0.59 % (25381)Termination reason: Unknown 0.90/0.59 % (25381)Termination phase: shuffling 0.90/0.59 0.90/0.59 % (25381)Memory used [KB]: 1791 0.90/0.59 % (25381)Time elapsed: 0.011 s 0.90/0.59 % (25381)Instructions burned: 19 (million) 0.90/0.59 % (25381)------------------------------ 0.90/0.59 % (25381)------------------------------ 0.90/0.60 % (25383)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_25246 for (2398ds/17Mi) 0.90/0.60 % (25375)Refutation not found, incomplete strategy 0.90/0.60 % (25375)------------------------------ 0.90/0.60 % (25375)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.90/0.60 % (25375)Termination reason: Refutation not found, incomplete strategy 0.90/0.60 0.90/0.60 0.90/0.60 % (25375)Memory used [KB]: 7036 0.90/0.60 % (25375)Time elapsed: 0.064 s 0.90/0.60 % (25375)Instructions burned: 153 (million) 0.90/0.60 % (25375)------------------------------ 0.90/0.60 % (25375)------------------------------ 0.90/0.61 % (25383)Instruction limit reached! 0.90/0.61 % (25383)------------------------------ 0.90/0.61 % (25383)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.90/0.61 % (25383)Termination reason: Unknown 0.90/0.61 % (25383)Termination phase: shuffling 0.90/0.61 0.90/0.61 % (25383)Memory used [KB]: 1791 0.90/0.61 % (25383)Time elapsed: 0.012 s 0.90/0.61 % (25383)Instructions burned: 18 (million) 0.90/0.61 % (25383)------------------------------ 0.90/0.61 % (25383)------------------------------ 0.90/0.61 % (25384)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_25246 for (2398ds/3Mi) 0.90/0.62 % (25384)Instruction limit reached! 0.90/0.62 % (25384)------------------------------ 0.90/0.62 % (25384)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.90/0.62 % (25384)Termination reason: Unknown 0.90/0.62 % (25384)Termination phase: shuffling 0.90/0.62 0.90/0.62 % (25384)Memory used [KB]: 1535 0.90/0.62 % (25384)Time elapsed: 0.003 s 0.90/0.62 % (25384)Instructions burned: 3 (million) 0.90/0.62 % (25384)------------------------------ 0.90/0.62 % (25384)------------------------------ 0.90/0.63 % (25386)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_25246 for (2397ds/127Mi) 0.90/0.63 % (25382)Refutation not found, incomplete strategy 0.90/0.63 % (25382)------------------------------ 0.90/0.63 % (25382)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.90/0.63 % (25382)Termination reason: Refutation not found, incomplete strategy 0.90/0.63 0.90/0.63 0.90/0.63 % (25382)Memory used [KB]: 6908 0.90/0.63 % (25382)Time elapsed: 0.049 s 0.90/0.63 % (25382)Instructions burned: 154 (million) 0.90/0.63 % (25382)------------------------------ 0.90/0.63 % (25382)------------------------------ 0.90/0.63 % (25385)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_25246 for (2398ds/30Mi) 1.25/0.64 % (25387)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_25246 for (2397ds/100Mi) 1.25/0.65 % (25385)Instruction limit reached! 1.25/0.65 % (25385)------------------------------ 1.25/0.65 % (25385)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.25/0.65 % (25385)Termination reason: Unknown 1.25/0.65 % (25385)Termination phase: shuffling 1.25/0.65 1.25/0.65 % (25385)Memory used [KB]: 1918 1.25/0.65 % (25385)Time elapsed: 0.017 s 1.25/0.65 % (25385)Instructions burned: 32 (million) 1.25/0.65 % (25385)------------------------------ 1.25/0.65 % (25385)------------------------------ 1.25/0.66 % (25389)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_25246 for (2397ds/3Mi) 1.25/0.66 % (25389)Instruction limit reached! 1.25/0.66 % (25389)------------------------------ 1.25/0.66 % (25389)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.25/0.66 % (25389)Termination reason: Unknown 1.25/0.66 % (25389)Termination phase: shuffling 1.25/0.66 1.25/0.66 % (25389)Memory used [KB]: 1535 1.25/0.66 % (25389)Time elapsed: 0.002 s 1.25/0.66 % (25389)Instructions burned: 3 (million) 1.25/0.66 % (25389)------------------------------ 1.25/0.66 % (25389)------------------------------ 1.25/0.66 % (25379)Instruction limit reached! 1.25/0.66 % (25379)------------------------------ 1.25/0.66 % (25379)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.25/0.66 % (25379)Termination reason: Unknown 1.25/0.66 % (25379)Termination phase: Function definition elimination 1.25/0.66 1.25/0.66 % (25379)Memory used [KB]: 2430 1.25/0.66 % (25379)Time elapsed: 0.093 s 1.25/0.66 % (25379)Instructions burned: 377 (million) 1.25/0.66 % (25379)------------------------------ 1.25/0.66 % (25379)------------------------------ 1.25/0.66 % (25386)Instruction limit reached! 1.25/0.66 % (25386)------------------------------ 1.25/0.66 % (25386)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.25/0.66 % (25386)Termination reason: Unknown 1.25/0.66 % (25386)Termination phase: Function definition elimination 1.25/0.66 1.25/0.66 % (25386)Memory used [KB]: 2302 1.25/0.66 % (25386)Time elapsed: 0.037 s 1.25/0.66 % (25386)Instructions burned: 127 (million) 1.25/0.66 % (25386)------------------------------ 1.25/0.66 % (25386)------------------------------ 1.25/0.67 % (25387)Instruction limit reached! 1.25/0.67 % (25387)------------------------------ 1.25/0.67 % (25387)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.25/0.67 % (25387)Termination reason: Unknown 1.25/0.67 % (25387)Termination phase: Function definition elimination 1.25/0.67 1.25/0.67 % (25387)Memory used [KB]: 2302 1.25/0.67 % (25387)Time elapsed: 0.029 s 1.25/0.67 % (25387)Instructions burned: 103 (million) 1.25/0.67 % (25387)------------------------------ 1.25/0.67 % (25387)------------------------------ 1.25/0.67 % (25390)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_25246 for (2397ds/20Mi) 1.25/0.67 % (25391)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_25246 for (2397ds/86Mi) 1.25/0.67 % (25392)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_25246 for (2397ds/107Mi) 1.25/0.67 % (25390)Instruction limit reached! 1.25/0.67 % (25390)------------------------------ 1.25/0.67 % (25390)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.25/0.67 % (25390)Termination reason: Unknown 1.25/0.67 % (25390)Termination phase: shuffling 1.25/0.67 1.25/0.67 % (25390)Memory used [KB]: 1791 1.25/0.67 % (25390)Time elapsed: 0.008 s 1.25/0.67 % (25390)Instructions burned: 21 (million) 1.25/0.67 % (25390)------------------------------ 1.25/0.67 % (25390)------------------------------ 1.25/0.68 % (25393)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_25246 for (2397ds/39Mi) 1.56/0.68 % (25394)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_25246 for (2397ds/448Mi) 1.56/0.69 % (25393)Instruction limit reached! 1.56/0.69 % (25393)------------------------------ 1.56/0.69 % (25393)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.56/0.69 % (25393)Termination reason: Unknown 1.56/0.69 % (25393)Termination phase: shuffling 1.56/0.69 1.56/0.69 % (25393)Memory used [KB]: 2174 1.56/0.69 % (25393)Time elapsed: 0.013 s 1.56/0.69 % (25393)Instructions burned: 39 (million) 1.56/0.69 % (25393)------------------------------ 1.56/0.69 % (25393)------------------------------ 1.56/0.69 % (25391)Instruction limit reached! 1.56/0.69 % (25391)------------------------------ 1.56/0.69 % (25391)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.56/0.69 % (25391)Termination reason: Unknown 1.56/0.69 % (25391)Termination phase: Property scanning 1.56/0.69 1.56/0.69 % (25391)Memory used [KB]: 2302 1.56/0.69 % (25391)Time elapsed: 0.027 s 1.56/0.69 % (25391)Instructions burned: 89 (million) 1.56/0.69 % (25391)------------------------------ 1.56/0.69 % (25391)------------------------------ 1.56/0.70 % (25395)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_25246 for (2397ds/46Mi) 1.56/0.70 % (25392)Instruction limit reached! 1.56/0.70 % (25392)------------------------------ 1.56/0.70 % (25392)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.56/0.70 % (25392)Termination reason: Unknown 1.56/0.70 % (25392)Termination phase: Property scanning 1.56/0.70 1.56/0.70 % (25392)Memory used [KB]: 2302 1.56/0.70 % (25392)Time elapsed: 0.032 s 1.56/0.70 % (25392)Instructions burned: 108 (million) 1.56/0.70 % (25392)------------------------------ 1.56/0.70 % (25392)------------------------------ 1.56/0.71 % (25396)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_25246 for (2397ds/98Mi) 1.56/0.71 % (25395)Instruction limit reached! 1.56/0.71 % (25395)------------------------------ 1.56/0.71 % (25395)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.56/0.71 % (25395)Termination reason: Unknown 1.56/0.71 % (25395)Termination phase: Property scanning 1.56/0.71 1.56/0.71 % (25395)Memory used [KB]: 2174 1.56/0.71 % (25395)Time elapsed: 0.016 s 1.56/0.71 % (25395)Instructions burned: 49 (million) 1.56/0.71 % (25395)------------------------------ 1.56/0.71 % (25395)------------------------------ 1.56/0.71 % (25397)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_25246 for (2397ds/507Mi) 1.56/0.72 % (25398)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_25246 for (2397ds/149Mi) 1.56/0.73 % (25396)Instruction limit reached! 1.56/0.73 % (25396)------------------------------ 1.56/0.73 % (25396)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.56/0.73 % (25396)Termination reason: Unknown 1.56/0.73 % (25396)Termination phase: Function definition elimination 1.56/0.73 1.56/0.73 % (25396)Memory used [KB]: 2302 1.56/0.73 % (25396)Time elapsed: 0.029 s 1.56/0.73 % (25396)Instructions burned: 100 (million) 1.56/0.73 % (25396)------------------------------ 1.56/0.73 % (25396)------------------------------ 1.56/0.74 % (25399)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on E---3.1_25246 for (2396ds/39Mi) 1.80/0.75 % (25373)Instruction limit reached! 1.80/0.75 % (25373)------------------------------ 1.80/0.75 % (25373)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.80/0.75 % (25373)Termination reason: Unknown 1.80/0.75 % (25373)Termination phase: Saturation 1.80/0.75 1.80/0.75 % (25373)Memory used [KB]: 7547 1.80/0.75 % (25373)Time elapsed: 0.221 s 1.80/0.75 % (25373)Instructions burned: 710 (million) 1.80/0.75 % (25373)------------------------------ 1.80/0.75 % (25373)------------------------------ 1.80/0.75 % (25399)Instruction limit reached! 1.80/0.75 % (25399)------------------------------ 1.80/0.75 % (25399)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.80/0.75 % (25399)Termination reason: Unknown 1.80/0.75 % (25399)Termination phase: shuffling 1.80/0.75 1.80/0.75 % (25399)Memory used [KB]: 2174 1.80/0.75 % (25399)Time elapsed: 0.014 s 1.80/0.75 % (25399)Instructions burned: 41 (million) 1.80/0.75 % (25399)------------------------------ 1.80/0.75 % (25399)------------------------------ 1.80/0.76 % (25400)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on E---3.1_25246 for (2396ds/6Mi) 1.80/0.76 % (25400)Instruction limit reached! 1.80/0.76 % (25400)------------------------------ 1.80/0.76 % (25400)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.80/0.76 % (25400)Termination reason: Unknown 1.80/0.76 % (25400)Termination phase: shuffling 1.80/0.76 1.80/0.76 % (25400)Memory used [KB]: 1535 1.80/0.76 % (25400)Time elapsed: 0.003 s 1.80/0.76 % (25400)Instructions burned: 7 (million) 1.80/0.76 % (25400)------------------------------ 1.80/0.76 % (25400)------------------------------ 2.08/0.76 % (25398)Instruction limit reached! 2.08/0.76 % (25398)------------------------------ 2.08/0.76 % (25398)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.08/0.76 % (25398)Termination reason: Unknown 2.08/0.76 % (25398)Termination phase: Function definition elimination 2.08/0.76 2.08/0.76 % (25398)Memory used [KB]: 2302 2.08/0.76 % (25398)Time elapsed: 0.041 s 2.08/0.76 % (25398)Instructions burned: 149 (million) 2.08/0.76 % (25398)------------------------------ 2.08/0.76 % (25398)------------------------------ 2.08/0.77 % (25401)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on E---3.1_25246 for (2396ds/1087Mi) 2.08/0.77 % (25402)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on E---3.1_25246 for (2396ds/47Mi) 2.08/0.77 % (25403)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on E---3.1_25246 for (2396ds/44Mi) 2.08/0.78 % (25402)Instruction limit reached! 2.08/0.78 % (25402)------------------------------ 2.08/0.78 % (25402)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.08/0.78 % (25402)Termination reason: Unknown 2.08/0.78 % (25402)Termination phase: Property scanning 2.08/0.78 2.08/0.78 % (25402)Memory used [KB]: 2174 2.08/0.78 % (25402)Time elapsed: 0.016 s 2.08/0.78 % (25402)Instructions burned: 48 (million) 2.08/0.78 % (25402)------------------------------ 2.08/0.78 % (25402)------------------------------ 2.08/0.78 % (25403)Instruction limit reached! 2.08/0.78 % (25403)------------------------------ 2.08/0.78 % (25403)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.08/0.78 % (25403)Termination reason: Unknown 2.08/0.78 % (25403)Termination phase: Property scanning 2.08/0.78 2.08/0.78 % (25403)Memory used [KB]: 2174 2.08/0.78 % (25403)Time elapsed: 0.015 s 2.08/0.78 % (25403)Instructions burned: 47 (million) 2.08/0.78 % (25403)------------------------------ 2.08/0.78 % (25403)------------------------------ 2.08/0.79 % (25404)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on E---3.1_25246 for (2396ds/432Mi) 2.08/0.80 % (25405)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on E---3.1_25246 for (2396ds/62Mi) 2.08/0.81 % (25364)Instruction limit reached! 2.08/0.81 % (25364)------------------------------ 2.08/0.81 % (25364)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.08/0.81 % (25364)Termination reason: Unknown 2.08/0.81 % (25364)Termination phase: Function definition elimination 2.08/0.81 2.08/0.81 % (25364)Memory used [KB]: 2558 2.08/0.81 % (25364)Time elapsed: 0.317 s 2.08/0.81 % (25364)Instructions burned: 1041 (million) 2.08/0.81 % (25364)------------------------------ 2.08/0.81 % (25364)------------------------------ 2.08/0.81 % (25401)Refutation not found, incomplete strategy 2.08/0.81 % (25401)------------------------------ 2.08/0.81 % (25401)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.08/0.81 % (25401)Termination reason: Refutation not found, incomplete strategy 2.08/0.81 2.08/0.81 2.08/0.81 % (25401)Memory used [KB]: 6908 2.08/0.81 % (25401)Time elapsed: 0.047 s 2.08/0.81 % (25401)Instructions burned: 153 (million) 2.08/0.81 % (25401)------------------------------ 2.08/0.81 % (25401)------------------------------ 2.08/0.81 % (25405)Instruction limit reached! 2.08/0.81 % (25405)------------------------------ 2.08/0.81 % (25405)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.08/0.81 % (25405)Termination reason: Unknown 2.08/0.81 % (25405)Termination phase: Property scanning 2.08/0.81 2.08/0.81 % (25405)Memory used [KB]: 2174 2.08/0.81 % (25405)Time elapsed: 0.019 s 2.08/0.81 % (25405)Instructions burned: 63 (million) 2.08/0.81 % (25405)------------------------------ 2.08/0.81 % (25405)------------------------------ 2.29/0.81 % (25380)Instruction limit reached! 2.29/0.81 % (25380)------------------------------ 2.29/0.81 % (25380)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.29/0.81 % (25380)Termination reason: Unknown 2.29/0.81 % (25380)Termination phase: Saturation 2.29/0.81 2.29/0.81 % (25380)Memory used [KB]: 9083 2.29/0.81 % (25380)Time elapsed: 0.246 s 2.29/0.81 % (25380)Instructions burned: 779 (million) 2.29/0.81 % (25380)------------------------------ 2.29/0.81 % (25380)------------------------------ 2.29/0.82 % (25394)Instruction limit reached! 2.29/0.82 % (25394)------------------------------ 2.29/0.82 % (25394)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.29/0.82 % (25394)Termination reason: Unknown 2.29/0.82 % (25394)Termination phase: Saturation 2.29/0.82 2.29/0.82 % (25394)Memory used [KB]: 7419 2.29/0.82 % (25394)Time elapsed: 0.135 s 2.29/0.82 % (25394)Instructions burned: 449 (million) 2.29/0.82 % (25394)------------------------------ 2.29/0.82 % (25394)------------------------------ 2.29/0.82 % (25407)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on E---3.1_25246 for (2396ds/96Mi) 2.29/0.82 % (25408)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on E---3.1_25246 for (2396ds/453Mi) 2.29/0.83 % (25409)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on E---3.1_25246 for (2396ds/71Mi) 2.29/0.83 % (25406)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on E---3.1_25246 for (2396ds/31Mi) 2.29/0.83 % (25410)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on E---3.1_25246 for (2395ds/83Mi) 2.29/0.83 % (25397)Instruction limit reached! 2.29/0.83 % (25397)------------------------------ 2.29/0.83 % (25397)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.29/0.83 % (25397)Termination reason: Unknown 2.29/0.83 % (25397)Termination phase: Function definition elimination 2.29/0.83 2.29/0.83 % (25397)Memory used [KB]: 2430 2.29/0.83 % (25397)Time elapsed: 0.118 s 2.29/0.83 % (25397)Instructions burned: 510 (million) 2.29/0.83 % (25397)------------------------------ 2.29/0.83 % (25397)------------------------------ 2.29/0.84 % (25411)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on E---3.1_25246 for (2395ds/11Mi) 2.29/0.84 % (25411)Instruction limit reached! 2.29/0.84 % (25411)------------------------------ 2.29/0.84 % (25411)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.29/0.84 % (25411)Termination reason: Unknown 2.29/0.84 % (25411)Termination phase: shuffling 2.29/0.84 2.29/0.84 % (25411)Memory used [KB]: 1663 2.29/0.84 % (25411)Time elapsed: 0.005 s 2.29/0.84 % (25411)Instructions burned: 11 (million) 2.29/0.84 % (25411)------------------------------ 2.29/0.84 % (25411)------------------------------ 2.29/0.84 % (25406)Instruction limit reached! 2.29/0.84 % (25406)------------------------------ 2.29/0.84 % (25406)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.29/0.84 % (25406)Termination reason: Unknown 2.29/0.84 % (25406)Termination phase: shuffling 2.29/0.84 2.29/0.84 % (25406)Memory used [KB]: 1918 2.29/0.84 % (25406)Time elapsed: 0.019 s 2.29/0.84 % (25406)Instructions burned: 32 (million) 2.29/0.84 % (25406)------------------------------ 2.29/0.84 % (25406)------------------------------ 2.29/0.85 % (25409)Instruction limit reached! 2.29/0.85 % (25409)------------------------------ 2.29/0.85 % (25409)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.29/0.85 % (25409)Termination reason: Unknown 2.29/0.85 % (25409)Termination phase: shuffling 2.29/0.85 2.29/0.85 % (25409)Memory used [KB]: 2174 2.29/0.85 % (25409)Time elapsed: 0.022 s 2.29/0.85 % (25409)Instructions burned: 71 (million) 2.29/0.85 % (25409)------------------------------ 2.29/0.85 % (25409)------------------------------ 2.92/0.85 % (25407)Instruction limit reached! 2.92/0.85 % (25407)------------------------------ 2.92/0.85 % (25407)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.92/0.85 % (25407)Termination reason: Unknown 2.92/0.85 % (25407)Termination phase: Property scanning 2.92/0.85 2.92/0.85 % (25407)Memory used [KB]: 2302 2.92/0.85 % (25407)Time elapsed: 0.029 s 2.92/0.85 % (25407)Instructions burned: 96 (million) 2.92/0.85 % (25407)------------------------------ 2.92/0.85 % (25407)------------------------------ 2.92/0.85 % (25412)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on E---3.1_25246 for (2395ds/41Mi) 2.92/0.85 % (25410)Instruction limit reached! 2.92/0.85 % (25410)------------------------------ 2.92/0.85 % (25410)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.92/0.85 % (25410)Termination reason: Unknown 2.92/0.85 % (25410)Termination phase: SInE selection 2.92/0.85 2.92/0.85 % (25410)Memory used [KB]: 2174 2.92/0.85 % (25410)Time elapsed: 0.026 s 2.92/0.85 % (25410)Instructions burned: 85 (million) 2.92/0.85 % (25410)------------------------------ 2.92/0.85 % (25410)------------------------------ 2.92/0.86 % (25414)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on E---3.1_25246 for (2395ds/150Mi) 2.92/0.86 % (25415)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on E---3.1_25246 for (2395ds/343Mi) 2.92/0.86 % (25413)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_25246 for (2395ds/6Mi) 2.92/0.86 % (25416)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on E---3.1_25246 for (2395ds/109Mi) 2.92/0.86 % (25412)Instruction limit reached! 2.92/0.86 % (25412)------------------------------ 2.92/0.86 % (25412)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.92/0.86 % (25412)Termination reason: Unknown 2.92/0.86 % (25412)Termination phase: Property scanning 2.92/0.86 2.92/0.86 % (25412)Memory used [KB]: 2174 2.92/0.86 % (25412)Time elapsed: 0.014 s 2.92/0.86 % (25412)Instructions burned: 43 (million) 2.92/0.86 % (25412)------------------------------ 2.92/0.86 % (25412)------------------------------ 2.92/0.87 % (25413)Instruction limit reached! 2.92/0.87 % (25413)------------------------------ 2.92/0.87 % (25413)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.92/0.87 % (25413)Termination reason: Unknown 2.92/0.87 % (25413)Termination phase: shuffling 2.92/0.87 2.92/0.87 % (25413)Memory used [KB]: 1535 2.92/0.87 % (25413)Time elapsed: 0.006 s 2.92/0.87 % (25413)Instructions burned: 7 (million) 2.92/0.87 % (25413)------------------------------ 2.92/0.87 % (25413)------------------------------ 2.92/0.87 % (25417)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on E---3.1_25246 for (2395ds/253Mi) 2.92/0.88 % (25418)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on E---3.1_25246 for (2395ds/140Mi) 2.92/0.89 % (25404)Instruction limit reached! 2.92/0.89 % (25404)------------------------------ 2.92/0.89 % (25404)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.92/0.89 % (25404)Termination reason: Unknown 2.92/0.89 % (25404)Termination phase: Function definition elimination 2.92/0.89 2.92/0.89 % (25404)Memory used [KB]: 2430 2.92/0.89 % (25404)Time elapsed: 0.097 s 2.92/0.89 % (25404)Instructions burned: 433 (million) 2.92/0.89 % (25404)------------------------------ 2.92/0.89 % (25404)------------------------------ 2.92/0.89 % (25416)Instruction limit reached! 2.92/0.89 % (25416)------------------------------ 2.92/0.89 % (25416)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.92/0.89 % (25416)Termination reason: Unknown 2.92/0.89 % (25416)Termination phase: Property scanning 2.92/0.89 2.92/0.89 % (25416)Memory used [KB]: 2302 2.92/0.89 % (25416)Time elapsed: 0.033 s 2.92/0.89 % (25416)Instructions burned: 111 (million) 2.92/0.89 % (25416)------------------------------ 2.92/0.89 % (25416)------------------------------ 2.92/0.89 % (25414)Instruction limit reached! 2.92/0.89 % (25414)------------------------------ 2.92/0.89 % (25414)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.92/0.89 % (25414)Termination reason: Unknown 2.92/0.89 % (25414)Termination phase: Function definition elimination 2.92/0.89 2.92/0.89 % (25414)Memory used [KB]: 2302 2.92/0.89 % (25414)Time elapsed: 0.041 s 2.92/0.89 % (25414)Instructions burned: 150 (million) 2.92/0.89 % (25414)------------------------------ 2.92/0.89 % (25414)------------------------------ 2.92/0.90 % (25419)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on E---3.1_25246 for (2395ds/614Mi) 2.92/0.90 % (25420)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on E---3.1_25246 for (2395ds/202Mi) 2.92/0.91 % (25421)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on E---3.1_25246 for (2395ds/339Mi) 2.92/0.91 % (25418)Refutation not found, incomplete strategy 2.92/0.91 % (25418)------------------------------ 2.92/0.91 % (25418)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.92/0.91 % (25418)Termination reason: Refutation not found, incomplete strategy 2.92/0.91 2.92/0.91 2.92/0.91 % (25418)Memory used [KB]: 6780 2.92/0.91 % (25418)Time elapsed: 0.031 s 2.92/0.91 % (25418)Instructions burned: 95 (million) 2.92/0.91 % (25418)------------------------------ 2.92/0.91 % (25418)------------------------------ 2.92/0.91 % (25417)Refutation not found, incomplete strategy 2.92/0.91 % (25417)------------------------------ 2.92/0.91 % (25417)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.92/0.91 % (25417)Termination reason: Refutation not found, incomplete strategy 2.92/0.91 2.92/0.91 2.92/0.91 % (25417)Memory used [KB]: 6908 2.92/0.91 % (25417)Time elapsed: 0.038 s 2.92/0.91 % (25417)Instructions burned: 127 (million) 2.92/0.91 % (25417)------------------------------ 2.92/0.91 % (25417)------------------------------ 2.92/0.92 % (25422)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=283:si=on:rtra=on_0 on E---3.1_25246 for (2395ds/283Mi) 2.92/0.92 % (25423)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on E---3.1_25246 for (2395ds/134Mi) 2.92/0.93 % (25408)Instruction limit reached! 2.92/0.93 % (25408)------------------------------ 2.92/0.93 % (25408)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.92/0.93 % (25408)Termination reason: Unknown 2.92/0.93 % (25408)Termination phase: Function definition elimination 2.92/0.93 2.92/0.93 % (25408)Memory used [KB]: 2430 2.92/0.93 % (25408)Time elapsed: 0.105 s 2.92/0.93 % (25408)Instructions burned: 453 (million) 2.92/0.93 % (25408)------------------------------ 2.92/0.93 % (25408)------------------------------ 3.45/0.93 % (25420)Refutation not found, incomplete strategy 3.45/0.93 % (25420)------------------------------ 3.45/0.93 % (25420)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.45/0.93 % (25420)Termination reason: Refutation not found, incomplete strategy 3.45/0.93 3.45/0.93 3.45/0.93 % (25420)Memory used [KB]: 6780 3.45/0.93 % (25420)Time elapsed: 0.030 s 3.45/0.93 % (25420)Instructions burned: 95 (million) 3.45/0.93 % (25420)------------------------------ 3.45/0.93 % (25420)------------------------------ 3.45/0.94 % (25424)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on E---3.1_25246 for (2394ds/298Mi) 3.45/0.94 % (25425)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on E---3.1_25246 for (2394ds/192Mi) 3.45/0.96 % (25423)Instruction limit reached! 3.45/0.96 % (25423)------------------------------ 3.45/0.96 % (25423)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.45/0.96 % (25423)Termination reason: Unknown 3.45/0.96 % (25423)Termination phase: Function definition elimination 3.45/0.96 3.45/0.96 % (25423)Memory used [KB]: 2302 3.45/0.96 % (25423)Time elapsed: 0.035 s 3.45/0.96 % (25423)Instructions burned: 137 (million) 3.45/0.96 % (25423)------------------------------ 3.45/0.96 % (25423)------------------------------ 3.45/0.96 % (25415)Instruction limit reached! 3.45/0.96 % (25415)------------------------------ 3.45/0.96 % (25415)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.45/0.96 % (25415)Termination reason: Unknown 3.45/0.96 % (25415)Termination phase: Saturation 3.45/0.96 3.45/0.96 % (25415)Memory used [KB]: 7164 3.45/0.96 % (25415)Time elapsed: 0.102 s 3.45/0.96 % (25415)Instructions burned: 345 (million) 3.45/0.96 % (25415)------------------------------ 3.45/0.96 % (25415)------------------------------ 3.45/0.97 % (25426)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on E---3.1_25246 for (2394ds/258Mi) 3.45/0.97 % (25427)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on E---3.1_25246 for (2394ds/90Mi) 3.64/0.98 % (25421)Instruction limit reached! 3.64/0.98 % (25421)------------------------------ 3.64/0.98 % (25421)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.64/0.98 % (25421)Termination reason: Unknown 3.64/0.98 % (25421)Termination phase: Function definition elimination 3.64/0.98 3.64/0.98 % (25421)Memory used [KB]: 2558 3.64/0.98 % (25421)Time elapsed: 0.076 s 3.64/0.98 % (25421)Instructions burned: 340 (million) 3.64/0.98 % (25421)------------------------------ 3.64/0.98 % (25421)------------------------------ 3.64/0.99 % (25422)Instruction limit reached! 3.64/0.99 % (25422)------------------------------ 3.64/0.99 % (25422)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.64/0.99 % (25422)Termination reason: Unknown 3.64/0.99 % (25422)Termination phase: Function definition elimination 3.64/0.99 3.64/0.99 % (25422)Memory used [KB]: 2430 3.64/0.99 % (25422)Time elapsed: 0.068 s 3.64/0.99 % (25422)Instructions burned: 283 (million) 3.64/0.99 % (25422)------------------------------ 3.64/0.99 % (25422)------------------------------ 3.64/0.99 % (25428)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on E---3.1_25246 for (2394ds/231Mi) 3.64/0.99 % (25425)Instruction limit reached! 3.64/0.99 % (25425)------------------------------ 3.64/0.99 % (25425)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.64/0.99 % (25425)Termination reason: Unknown 3.64/0.99 % (25425)Termination phase: Function definition elimination 3.64/0.99 3.64/0.99 % (25425)Memory used [KB]: 2430 3.64/0.99 % (25425)Time elapsed: 0.050 s 3.64/0.99 % (25425)Instructions burned: 194 (million) 3.64/0.99 % (25425)------------------------------ 3.64/0.99 % (25425)------------------------------ 3.64/0.99 % (25427)Instruction limit reached! 3.64/0.99 % (25427)------------------------------ 3.64/0.99 % (25427)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.64/0.99 % (25427)Termination reason: Unknown 3.64/0.99 % (25427)Termination phase: Property scanning 3.64/0.99 3.64/0.99 % (25427)Memory used [KB]: 2302 3.64/0.99 % (25427)Time elapsed: 0.024 s 3.64/0.99 % (25427)Instructions burned: 90 (million) 3.64/0.99 % (25427)------------------------------ 3.64/0.99 % (25427)------------------------------ 3.64/1.00 % (25429)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on E---3.1_25246 for (2394ds/458Mi) 3.64/1.00 % (25424)Instruction limit reached! 3.64/1.00 % (25424)------------------------------ 3.64/1.00 % (25424)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.64/1.00 % (25424)Termination reason: Unknown 3.64/1.00 % (25424)Termination phase: Function definition elimination 3.64/1.00 3.64/1.00 % (25424)Memory used [KB]: 2430 3.64/1.00 % (25424)Time elapsed: 0.065 s 3.64/1.00 % (25424)Instructions burned: 300 (million) 3.64/1.00 % (25424)------------------------------ 3.64/1.00 % (25424)------------------------------ 3.64/1.00 % (25430)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on E---3.1_25246 for (2394ds/31Mi) 3.64/1.00 % (25431)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on E---3.1_25246 for (2394ds/297Mi) 3.64/1.01 % (25432)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on E---3.1_25246 for (2394ds/987Mi) 3.64/1.01 % (25430)Instruction limit reached! 3.64/1.01 % (25430)------------------------------ 3.64/1.01 % (25430)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.64/1.01 % (25430)Termination reason: Unknown 3.64/1.01 % (25430)Termination phase: shuffling 3.64/1.01 3.64/1.01 % (25430)Memory used [KB]: 1918 3.64/1.01 % (25430)Time elapsed: 0.010 s 3.64/1.01 % (25430)Instructions burned: 33 (million) 3.64/1.01 % (25430)------------------------------ 3.64/1.01 % (25430)------------------------------ 3.64/1.02 % (25433)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on E---3.1_25246 for (2394ds/182Mi) 3.64/1.02 % (25419)Instruction limit reached! 3.64/1.02 % (25419)------------------------------ 3.64/1.02 % (25419)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.64/1.02 % (25419)Termination reason: Unknown 3.64/1.02 % (25419)Termination phase: Function definition elimination 3.64/1.02 3.64/1.02 % (25419)Memory used [KB]: 2430 3.64/1.02 % (25419)Time elapsed: 0.127 s 3.64/1.02 % (25419)Instructions burned: 614 (million) 3.64/1.02 % (25419)------------------------------ 3.64/1.02 % (25419)------------------------------ 3.64/1.03 % (25434)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on E---3.1_25246 for (2393ds/182Mi) 3.64/1.04 % (25426)Instruction limit reached! 3.64/1.04 % (25426)------------------------------ 3.64/1.04 % (25426)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.64/1.04 % (25426)Termination reason: Unknown 3.64/1.04 % (25426)Termination phase: Saturation 3.64/1.04 3.64/1.04 % (25426)Memory used [KB]: 7036 3.64/1.04 % (25426)Time elapsed: 0.071 s 3.64/1.04 % (25426)Instructions burned: 260 (million) 3.64/1.04 % (25426)------------------------------ 3.64/1.04 % (25426)------------------------------ 3.64/1.04 % (25428)Instruction limit reached! 3.64/1.04 % (25428)------------------------------ 3.64/1.04 % (25428)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.64/1.04 % (25428)Termination reason: Unknown 3.64/1.04 % (25428)Termination phase: Function definition elimination 3.64/1.04 3.64/1.04 % (25428)Memory used [KB]: 2430 3.64/1.04 % (25428)Time elapsed: 0.053 s 3.64/1.04 % (25428)Instructions burned: 235 (million) 3.64/1.04 % (25428)------------------------------ 3.64/1.04 % (25428)------------------------------ 4.25/1.04 % (25435)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on E---3.1_25246 for (2393ds/154Mi) 4.25/1.05 % (25436)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on E---3.1_25246 for (2393ds/79Mi) 4.25/1.06 % (25433)Instruction limit reached! 4.25/1.06 % (25433)------------------------------ 4.25/1.06 % (25433)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.25/1.06 % (25433)Termination reason: Unknown 4.25/1.06 % (25433)Termination phase: Function definition elimination 4.25/1.06 4.25/1.06 % (25433)Memory used [KB]: 2430 4.25/1.06 % (25433)Time elapsed: 0.044 s 4.25/1.06 % (25433)Instructions burned: 186 (million) 4.25/1.06 % (25433)------------------------------ 4.25/1.06 % (25433)------------------------------ 4.59/1.07 % (25436)Instruction limit reached! 4.59/1.07 % (25436)------------------------------ 4.59/1.07 % (25436)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.59/1.07 % (25436)Termination reason: Unknown 4.59/1.07 % (25436)Termination phase: Property scanning 4.59/1.07 4.59/1.07 % (25436)Memory used [KB]: 2302 4.59/1.07 % (25436)Time elapsed: 0.022 s 4.59/1.07 % (25436)Instructions burned: 80 (million) 4.59/1.07 % (25436)------------------------------ 4.59/1.07 % (25436)------------------------------ 4.59/1.07 % (25437)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on E---3.1_25246 for (2393ds/216Mi) 4.59/1.08 % (25435)Instruction limit reached! 4.59/1.08 % (25435)------------------------------ 4.59/1.08 % (25435)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.59/1.08 % (25435)Termination reason: Unknown 4.59/1.08 % (25435)Termination phase: Function definition elimination 4.59/1.08 4.59/1.08 % (25435)Memory used [KB]: 2430 4.59/1.08 % (25435)Time elapsed: 0.037 s 4.59/1.08 % (25435)Instructions burned: 154 (million) 4.59/1.08 % (25435)------------------------------ 4.59/1.08 % (25435)------------------------------ 4.59/1.08 % (25438)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on E---3.1_25246 for (2393ds/114Mi) 4.59/1.08 % (25431)Instruction limit reached! 4.59/1.08 % (25431)------------------------------ 4.59/1.08 % (25431)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.59/1.08 % (25431)Termination reason: Unknown 4.59/1.08 % (25431)Termination phase: Saturation 4.59/1.08 4.59/1.08 % (25431)Memory used [KB]: 7164 4.59/1.08 % (25431)Time elapsed: 0.081 s 4.59/1.08 % (25431)Instructions burned: 300 (million) 4.59/1.08 % (25431)------------------------------ 4.59/1.08 % (25431)------------------------------ 4.59/1.08 % (25434)Instruction limit reached! 4.59/1.08 % (25434)------------------------------ 4.59/1.08 % (25434)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.59/1.08 % (25434)Termination reason: Unknown 4.59/1.08 % (25434)Termination phase: Saturation 4.59/1.08 4.59/1.08 % (25434)Memory used [KB]: 6908 4.59/1.08 % (25434)Time elapsed: 0.050 s 4.59/1.08 % (25434)Instructions burned: 182 (million) 4.59/1.08 % (25434)------------------------------ 4.59/1.08 % (25434)------------------------------ 4.59/1.09 % (25439)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on E---3.1_25246 for (2393ds/922Mi) 4.59/1.09 % (25440)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on E---3.1_25246 for (2393ds/182Mi) 4.59/1.09 % (25441)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on E---3.1_25246 for (2393ds/164Mi) 4.59/1.11 % (25438)Instruction limit reached! 4.59/1.11 % (25438)------------------------------ 4.59/1.11 % (25438)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.59/1.11 % (25438)Termination reason: Unknown 4.59/1.11 % (25438)Termination phase: Function definition elimination 4.59/1.11 4.59/1.11 % (25438)Memory used [KB]: 2302 4.59/1.11 % (25438)Time elapsed: 0.031 s 4.59/1.11 % (25438)Instructions burned: 114 (million) 4.59/1.11 % (25438)------------------------------ 4.59/1.11 % (25438)------------------------------ 4.59/1.12 % (25442)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on E---3.1_25246 for (2393ds/50Mi) 4.59/1.12 % (25429)Instruction limit reached! 4.59/1.12 % (25429)------------------------------ 4.59/1.12 % (25429)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.59/1.12 % (25429)Termination reason: Unknown 4.59/1.12 % (25429)Termination phase: Function definition elimination 4.59/1.12 4.59/1.12 % (25429)Memory used [KB]: 2430 4.59/1.12 % (25429)Time elapsed: 0.124 s 4.59/1.12 % (25429)Instructions burned: 460 (million) 4.59/1.12 % (25429)------------------------------ 4.59/1.12 % (25429)------------------------------ 4.81/1.13 % (25443)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on E---3.1_25246 for (2393ds/368Mi) 4.81/1.13 % (25437)Instruction limit reached! 4.81/1.13 % (25437)------------------------------ 4.81/1.13 % (25437)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.81/1.13 % (25437)Termination reason: Unknown 4.81/1.13 % (25437)Termination phase: Saturation 4.81/1.13 4.81/1.13 % (25437)Memory used [KB]: 7291 4.81/1.13 % (25437)Time elapsed: 0.062 s 4.81/1.13 % (25437)Instructions burned: 219 (million) 4.81/1.13 % (25437)------------------------------ 4.81/1.13 % (25437)------------------------------ 4.81/1.13 % (25442)Instruction limit reached! 4.81/1.13 % (25442)------------------------------ 4.81/1.13 % (25442)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.81/1.13 % (25440)Instruction limit reached! 4.81/1.13 % (25440)------------------------------ 4.81/1.13 % (25440)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.81/1.13 % (25442)Termination reason: Unknown 4.81/1.13 % (25442)Termination phase: Property scanning 4.81/1.13 4.81/1.13 % (25442)Memory used [KB]: 2174 4.81/1.13 % (25442)Time elapsed: 0.015 s 4.81/1.13 % (25442)Instructions burned: 52 (million) 4.81/1.13 % (25442)------------------------------ 4.81/1.13 % (25442)------------------------------ 4.81/1.13 % (25440)Termination reason: Unknown 4.81/1.13 % (25440)Termination phase: Function definition elimination 4.81/1.13 4.81/1.13 % (25440)Memory used [KB]: 2430 4.81/1.13 % (25440)Time elapsed: 0.044 s 4.81/1.13 % (25440)Instructions burned: 182 (million) 4.81/1.13 % (25440)------------------------------ 4.81/1.13 % (25440)------------------------------ 4.81/1.14 % (25441)Instruction limit reached! 4.81/1.14 % (25441)------------------------------ 4.81/1.14 % (25441)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.81/1.14 % (25441)Termination reason: Unknown 4.81/1.14 % (25441)Termination phase: Saturation 4.81/1.14 4.81/1.14 % (25441)Memory used [KB]: 2558 4.81/1.14 % (25441)Time elapsed: 0.046 s 4.81/1.14 % (25441)Instructions burned: 165 (million) 4.81/1.14 % (25441)------------------------------ 4.81/1.14 % (25441)------------------------------ 4.81/1.14 % (25444)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on E---3.1_25246 for (2392ds/1021Mi) 4.81/1.14 % (25445)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on E---3.1_25246 for (2392ds/267Mi) 4.81/1.14 % (25446)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on E---3.1_25246 for (2392ds/204Mi) 4.81/1.15 % (25447)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on E---3.1_25246 for (2392ds/26Mi) 4.81/1.15 % (25447)Instruction limit reached! 4.81/1.15 % (25447)------------------------------ 4.81/1.15 % (25447)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.81/1.15 % (25447)Termination reason: Unknown 4.81/1.15 % (25447)Termination phase: shuffling 4.81/1.15 4.81/1.15 % (25447)Memory used [KB]: 1918 4.81/1.15 % (25447)Time elapsed: 0.008 s 4.81/1.15 % (25447)Instructions burned: 26 (million) 4.81/1.15 % (25447)------------------------------ 4.81/1.15 % (25447)------------------------------ 5.07/1.16 % (25448)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on E---3.1_25246 for (2392ds/53Mi) 5.07/1.18 % (25448)Instruction limit reached! 5.07/1.18 % (25448)------------------------------ 5.07/1.18 % (25448)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.07/1.18 % (25448)Termination reason: Unknown 5.07/1.18 % (25448)Termination phase: Property scanning 5.07/1.18 5.07/1.18 % (25448)Memory used [KB]: 2174 5.07/1.18 % (25448)Time elapsed: 0.015 s 5.07/1.18 % (25448)Instructions burned: 54 (million) 5.07/1.18 % (25448)------------------------------ 5.07/1.18 % (25448)------------------------------ 5.07/1.19 % (25449)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on E---3.1_25246 for (2392ds/4436Mi) 5.07/1.19 % (25446)Instruction limit reached! 5.07/1.19 % (25446)------------------------------ 5.07/1.19 % (25446)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.07/1.19 % (25446)Termination reason: Unknown 5.07/1.19 % (25446)Termination phase: Function definition elimination 5.07/1.19 5.07/1.19 % (25446)Memory used [KB]: 2302 5.07/1.19 % (25446)Time elapsed: 0.050 s 5.07/1.19 % (25446)Instructions burned: 208 (million) 5.07/1.19 % (25446)------------------------------ 5.07/1.19 % (25446)------------------------------ 5.07/1.20 % (25445)Instruction limit reached! 5.07/1.20 % (25445)------------------------------ 5.07/1.20 % (25445)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.07/1.20 % (25445)Termination reason: Unknown 5.07/1.20 % (25445)Termination phase: Function definition elimination 5.07/1.20 5.07/1.20 % (25445)Memory used [KB]: 2430 5.07/1.20 % (25445)Time elapsed: 0.059 s 5.07/1.20 % (25445)Instructions burned: 267 (million) 5.07/1.20 % (25445)------------------------------ 5.07/1.20 % (25445)------------------------------ 5.07/1.20 % (25450)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on E---3.1_25246 for (2392ds/1539Mi) 5.07/1.21 % (25432)Instruction limit reached! 5.07/1.21 % (25432)------------------------------ 5.07/1.21 % (25432)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.07/1.21 % (25432)Termination reason: Unknown 5.07/1.21 % (25432)Termination phase: Function definition elimination 5.07/1.21 5.07/1.21 % (25432)Memory used [KB]: 2430 5.07/1.21 % (25432)Time elapsed: 0.199 s 5.07/1.21 % (25432)Instructions burned: 988 (million) 5.07/1.21 % (25432)------------------------------ 5.07/1.21 % (25432)------------------------------ 5.07/1.21 % (25451)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on E---3.1_25246 for (2392ds/408Mi) 5.07/1.22 % (25452)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on E---3.1_25246 for (2392ds/5205Mi) 5.07/1.23 % (25443)Instruction limit reached! 5.07/1.23 % (25443)------------------------------ 5.07/1.23 % (25443)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.07/1.23 % (25443)Termination reason: Unknown 5.07/1.23 % (25443)Termination phase: Function definition elimination 5.07/1.23 5.07/1.23 % (25443)Memory used [KB]: 2430 5.07/1.23 % (25443)Time elapsed: 0.096 s 5.07/1.23 % (25443)Instructions burned: 371 (million) 5.07/1.23 % (25443)------------------------------ 5.07/1.23 % (25443)------------------------------ 5.07/1.23 % (25449)Refutation not found, incomplete strategy 5.07/1.23 % (25449)------------------------------ 5.07/1.23 % (25449)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.07/1.23 % (25449)Termination reason: Refutation not found, incomplete strategy 5.07/1.23 5.07/1.23 5.07/1.23 % (25449)Memory used [KB]: 6780 5.07/1.23 % (25449)Time elapsed: 0.043 s 5.07/1.23 % (25449)Instructions burned: 151 (million) 5.07/1.23 % (25449)------------------------------ 5.07/1.23 % (25449)------------------------------ 5.43/1.24 % (25453)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on E---3.1_25246 for (2391ds/1913Mi) 5.43/1.24 % (25454)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on E---3.1_25246 for (2391ds/4350Mi) 5.43/1.28 % (25439)Instruction limit reached! 5.43/1.28 % (25439)------------------------------ 5.43/1.28 % (25439)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.43/1.28 % (25439)Termination reason: Unknown 5.43/1.28 % (25439)Termination phase: Function definition elimination 5.43/1.28 5.43/1.28 % (25439)Memory used [KB]: 2430 5.43/1.28 % (25439)Time elapsed: 0.188 s 5.43/1.28 % (25439)Instructions burned: 925 (million) 5.43/1.28 % (25439)------------------------------ 5.43/1.28 % (25439)------------------------------ 5.43/1.29 % (25455)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on E---3.1_25246 for (2391ds/68Mi) 5.43/1.31 % (25455)Instruction limit reached! 5.43/1.31 % (25455)------------------------------ 5.43/1.31 % (25455)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.43/1.31 % (25455)Termination reason: Unknown 5.43/1.31 % (25455)Termination phase: SInE selection 5.43/1.31 5.43/1.31 % (25455)Memory used [KB]: 2174 5.43/1.31 % (25455)Time elapsed: 0.020 s 5.43/1.31 % (25455)Instructions burned: 70 (million) 5.43/1.31 % (25455)------------------------------ 5.43/1.31 % (25455)------------------------------ 5.43/1.32 % (25456)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on E---3.1_25246 for (2391ds/358Mi) 5.43/1.32 % (25451)Instruction limit reached! 5.43/1.32 % (25451)------------------------------ 5.43/1.32 % (25451)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.43/1.32 % (25451)Termination reason: Unknown 5.43/1.32 % (25451)Termination phase: Saturation 5.43/1.32 5.43/1.32 % (25451)Memory used [KB]: 8187 5.43/1.32 % (25451)Time elapsed: 0.112 s 5.43/1.32 % (25451)Instructions burned: 409 (million) 5.43/1.32 % (25451)------------------------------ 5.43/1.32 % (25451)------------------------------ 5.78/1.33 % (25457)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on E---3.1_25246 for (2390ds/31Mi) 5.78/1.34 % (25457)Instruction limit reached! 5.78/1.34 % (25457)------------------------------ 5.78/1.34 % (25457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.78/1.34 % (25457)Termination reason: Unknown 5.78/1.34 % (25457)Termination phase: shuffling 5.78/1.34 5.78/1.34 % (25457)Memory used [KB]: 1918 5.78/1.34 % (25457)Time elapsed: 0.010 s 5.78/1.34 % (25457)Instructions burned: 31 (million) 5.78/1.34 % (25457)------------------------------ 5.78/1.34 % (25457)------------------------------ 5.78/1.35 % (25444)Instruction limit reached! 5.78/1.35 % (25444)------------------------------ 5.78/1.35 % (25444)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.78/1.35 % (25444)Termination reason: Unknown 5.78/1.35 % (25444)Termination phase: Function definition elimination 5.78/1.35 5.78/1.35 % (25444)Memory used [KB]: 2430 5.78/1.35 % (25444)Time elapsed: 0.206 s 5.78/1.35 % (25444)Instructions burned: 1022 (million) 5.78/1.35 % (25444)------------------------------ 5.78/1.35 % (25444)------------------------------ 5.78/1.35 % (25458)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on E---3.1_25246 for (2390ds/279Mi) 5.78/1.36 % (25459)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on E---3.1_25246 for (2390ds/258Mi) 6.01/1.41 % (25456)Instruction limit reached! 6.01/1.41 % (25456)------------------------------ 6.01/1.41 % (25456)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.01/1.41 % (25456)Termination reason: Unknown 6.01/1.41 % (25456)Termination phase: Saturation 6.01/1.41 6.01/1.41 % (25456)Memory used [KB]: 7803 6.01/1.41 % (25456)Time elapsed: 0.092 s 6.01/1.41 % (25456)Instructions burned: 358 (million) 6.01/1.41 % (25456)------------------------------ 6.01/1.41 % (25456)------------------------------ 6.01/1.41 % (25458)Refutation not found, incomplete strategy 6.01/1.41 % (25458)------------------------------ 6.01/1.41 % (25458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.01/1.41 % (25458)Termination reason: Refutation not found, incomplete strategy 6.01/1.41 6.01/1.41 6.01/1.41 % (25458)Memory used [KB]: 7419 6.01/1.41 % (25458)Time elapsed: 0.058 s 6.01/1.41 % (25458)Instructions burned: 223 (million) 6.01/1.41 % (25458)------------------------------ 6.01/1.41 % (25458)------------------------------ 6.01/1.42 % (25460)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on E---3.1_25246 for (2390ds/26Mi) 6.01/1.42 % (25461)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on E---3.1_25246 for (2390ds/995Mi) 6.18/1.42 % (25460)Instruction limit reached! 6.18/1.42 % (25460)------------------------------ 6.18/1.42 % (25460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.18/1.42 % (25460)Termination reason: Unknown 6.18/1.42 % (25460)Termination phase: shuffling 6.18/1.42 6.18/1.42 % (25460)Memory used [KB]: 2046 6.18/1.42 % (25460)Time elapsed: 0.009 s 6.18/1.42 % (25460)Instructions burned: 29 (million) 6.18/1.42 % (25460)------------------------------ 6.18/1.42 % (25460)------------------------------ 6.18/1.43 % (25459)Instruction limit reached! 6.18/1.43 % (25459)------------------------------ 6.18/1.43 % (25459)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.18/1.43 % (25459)Termination reason: Unknown 6.18/1.43 % (25459)Termination phase: Saturation 6.18/1.43 6.18/1.43 % (25459)Memory used [KB]: 7291 6.18/1.43 % (25459)Time elapsed: 0.070 s 6.18/1.43 % (25459)Instructions burned: 258 (million) 6.18/1.43 % (25459)------------------------------ 6.18/1.43 % (25459)------------------------------ 6.18/1.43 % (25462)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on E---3.1_25246 for (2389ds/373Mi) 6.18/1.44 % (25463)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on E---3.1_25246 for (2389ds/253Mi) 6.28/1.49 % (25463)Instruction limit reached! 6.28/1.49 % (25463)------------------------------ 6.28/1.49 % (25463)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.28/1.49 % (25463)Termination reason: Unknown 6.28/1.49 % (25463)Termination phase: Function definition elimination 6.28/1.49 6.28/1.49 % (25463)Memory used [KB]: 2430 6.28/1.49 % (25463)Time elapsed: 0.057 s 6.28/1.49 % (25463)Instructions burned: 256 (million) 6.28/1.49 % (25463)------------------------------ 6.28/1.49 % (25463)------------------------------ 6.28/1.50 % (25464)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on E---3.1_25246 for (2389ds/832Mi) 6.28/1.51 % (25450)Instruction limit reached! 6.28/1.51 % (25450)------------------------------ 6.28/1.51 % (25450)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.28/1.51 % (25450)Termination reason: Unknown 6.28/1.51 % (25450)Termination phase: Function definition elimination 6.28/1.51 6.28/1.51 % (25450)Memory used [KB]: 2558 6.28/1.51 % (25450)Time elapsed: 0.305 s 6.28/1.51 % (25450)Instructions burned: 1541 (million) 6.28/1.51 % (25450)------------------------------ 6.28/1.51 % (25450)------------------------------ 6.28/1.51 % (25462)Instruction limit reached! 6.28/1.51 % (25462)------------------------------ 6.28/1.51 % (25462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.28/1.51 % (25462)Termination reason: Unknown 6.28/1.51 % (25462)Termination phase: Function definition elimination 6.28/1.51 6.28/1.51 % (25462)Memory used [KB]: 2430 6.28/1.51 % (25462)Time elapsed: 0.080 s 6.28/1.51 % (25462)Instructions burned: 374 (million) 6.28/1.51 % (25462)------------------------------ 6.28/1.51 % (25462)------------------------------ 6.28/1.52 % (25465)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on E---3.1_25246 for (2389ds/668Mi) 6.28/1.52 % (25466)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=40:si=on:rtra=on_0 on E---3.1_25246 for (2389ds/40Mi) 6.75/1.53 % (25466)Instruction limit reached! 6.75/1.53 % (25466)------------------------------ 6.75/1.53 % (25466)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.75/1.53 % (25466)Termination reason: Unknown 6.75/1.53 % (25466)Termination phase: shuffling 6.75/1.53 6.75/1.53 % (25466)Memory used [KB]: 2174 6.75/1.53 % (25466)Time elapsed: 0.012 s 6.75/1.53 % (25466)Instructions burned: 41 (million) 6.75/1.53 % (25466)------------------------------ 6.75/1.53 % (25466)------------------------------ 6.75/1.54 % (25464)Refutation not found, incomplete strategy 6.75/1.54 % (25464)------------------------------ 6.75/1.54 % (25464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.75/1.54 % (25467)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on E---3.1_25246 for (2388ds/294Mi) 6.75/1.54 % (25464)Termination reason: Refutation not found, incomplete strategy 6.75/1.54 6.75/1.54 6.75/1.54 % (25464)Memory used [KB]: 7036 6.75/1.54 % (25464)Time elapsed: 0.042 s 6.75/1.54 % (25464)Instructions burned: 154 (million) 6.75/1.54 % (25464)------------------------------ 6.75/1.54 % (25464)------------------------------ 6.75/1.55 % (25468)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on E---3.1_25246 for (2388ds/187Mi) 6.82/1.60 % (25468)Instruction limit reached! 6.82/1.60 % (25468)------------------------------ 6.82/1.60 % (25468)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.82/1.60 % (25468)Termination reason: Unknown 6.82/1.60 % (25468)Termination phase: Function definition elimination 6.82/1.60 6.82/1.60 % (25468)Memory used [KB]: 2430 6.82/1.60 % (25468)Time elapsed: 0.045 s 6.82/1.60 % (25468)Instructions burned: 188 (million) 6.82/1.60 % (25468)------------------------------ 6.82/1.60 % (25468)------------------------------ 6.82/1.61 % (25469)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on E---3.1_25246 for (2388ds/371Mi) 6.82/1.62 % (25461)Instruction limit reached! 6.82/1.62 % (25461)------------------------------ 6.82/1.62 % (25461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.82/1.62 % (25461)Termination reason: Unknown 6.82/1.62 % (25461)Termination phase: Function definition elimination 6.82/1.62 6.82/1.62 % (25461)Memory used [KB]: 2430 6.82/1.62 % (25461)Time elapsed: 0.200 s 6.82/1.62 % (25461)Instructions burned: 997 (million) 6.82/1.62 % (25461)------------------------------ 6.82/1.62 % (25461)------------------------------ 6.82/1.62 % (25467)Instruction limit reached! 6.82/1.62 % (25467)------------------------------ 6.82/1.62 % (25467)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.82/1.62 % (25467)Termination reason: Unknown 6.82/1.62 % (25467)Termination phase: Saturation 6.82/1.62 6.82/1.62 % (25467)Memory used [KB]: 7036 6.82/1.62 % (25467)Time elapsed: 0.078 s 6.82/1.62 % (25467)Instructions burned: 294 (million) 6.82/1.62 % (25467)------------------------------ 6.82/1.62 % (25467)------------------------------ 6.82/1.63 % (25470)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on E---3.1_25246 for (2388ds/1827Mi) 6.82/1.63 % (25471)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on E---3.1_25246 for (2388ds/70Mi) 8.61/1.65 % (25471)Instruction limit reached! 8.61/1.65 % (25471)------------------------------ 8.61/1.65 % (25471)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 8.61/1.65 % (25471)Termination reason: Unknown 8.61/1.65 % (25471)Termination phase: Property scanning 8.61/1.65 8.61/1.65 % (25471)Memory used [KB]: 2302 8.61/1.65 % (25471)Time elapsed: 0.020 s 8.61/1.65 % (25471)Instructions burned: 73 (million) 8.61/1.65 % (25471)------------------------------ 8.61/1.65 % (25471)------------------------------ 8.61/1.65 % (25465)Instruction limit reached! 8.61/1.65 % (25465)------------------------------ 8.61/1.65 % (25465)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 8.61/1.65 % (25465)Termination reason: Unknown 8.61/1.65 % (25465)Termination phase: Function definition elimination 8.61/1.65 8.61/1.65 % (25465)Memory used [KB]: 2430 8.61/1.65 % (25465)Time elapsed: 0.139 s 8.61/1.65 % (25465)Instructions burned: 672 (million) 8.61/1.65 % (25465)------------------------------ 8.61/1.65 % (25465)------------------------------ 8.61/1.66 % (25472)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on E---3.1_25246 for (2387ds/316Mi) 8.61/1.66 % (25473)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on E---3.1_25246 for (2387ds/932Mi) 8.77/1.71 % (25469)Instruction limit reached! 8.77/1.71 % (25469)------------------------------ 8.77/1.71 % (25469)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 8.77/1.71 % (25469)Termination reason: Unknown 8.77/1.71 % (25469)Termination phase: Saturation 8.77/1.71 8.77/1.71 % (25469)Memory used [KB]: 7419 8.77/1.71 % (25469)Time elapsed: 0.106 s 8.77/1.71 % (25469)Instructions burned: 371 (million) 8.77/1.71 % (25469)------------------------------ 8.77/1.71 % (25469)------------------------------ 8.77/1.72 % (25474)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on E---3.1_25246 for (2387ds/4714Mi) 8.77/1.73 % (25472)Instruction limit reached! 8.77/1.73 % (25472)------------------------------ 8.77/1.73 % (25472)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 8.77/1.73 % (25472)Termination reason: Unknown 8.77/1.73 % (25472)Termination phase: Function definition elimination 8.77/1.73 8.77/1.73 % (25472)Memory used [KB]: 2430 8.77/1.73 % (25472)Time elapsed: 0.069 s 8.77/1.73 % (25472)Instructions burned: 316 (million) 8.77/1.73 % (25472)------------------------------ 8.77/1.73 % (25472)------------------------------ 9.15/1.74 % (25475)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on E---3.1_25246 for (2386ds/8250Mi) 9.25/1.78 % (25453)Instruction limit reached! 9.25/1.78 % (25453)------------------------------ 9.25/1.78 % (25453)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 9.25/1.78 % (25453)Termination reason: Unknown 9.25/1.78 % (25453)Termination phase: Saturation 9.25/1.78 9.25/1.78 % (25453)Memory used [KB]: 4349 9.25/1.78 % (25453)Time elapsed: 0.536 s 9.25/1.78 % (25453)Instructions burned: 1914 (million) 9.25/1.78 % (25453)------------------------------ 9.25/1.78 % (25453)------------------------------ 9.25/1.79 % (25476)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on E---3.1_25246 for (2386ds/770Mi) 9.45/1.84 % (25476)Refutation not found, incomplete strategy 9.45/1.84 % (25476)------------------------------ 9.45/1.84 % (25476)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 9.45/1.84 % (25476)Termination reason: Refutation not found, incomplete strategy 9.45/1.84 9.45/1.84 9.45/1.84 % (25476)Memory used [KB]: 7164 9.45/1.84 % (25476)Time elapsed: 0.056 s 9.45/1.84 % (25476)Instructions burned: 190 (million) 9.45/1.84 % (25476)------------------------------ 9.45/1.84 % (25476)------------------------------ 9.45/1.85 % (25477)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on E---3.1_25246 for (2385ds/794Mi) 9.45/1.85 % (25473)Instruction limit reached! 9.45/1.85 % (25473)------------------------------ 9.45/1.85 % (25473)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 9.45/1.85 % (25473)Termination reason: Unknown 9.45/1.85 % (25473)Termination phase: Function definition elimination 9.45/1.85 9.45/1.85 % (25473)Memory used [KB]: 2430 9.45/1.85 % (25473)Time elapsed: 0.189 s 9.45/1.85 % (25473)Instructions burned: 935 (million) 9.45/1.85 % (25473)------------------------------ 9.45/1.85 % (25473)------------------------------ 9.83/1.86 % (25478)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on E---3.1_25246 for (2385ds/464Mi) 10.06/1.96 % (25478)Instruction limit reached! 10.06/1.96 % (25478)------------------------------ 10.06/1.96 % (25478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.06/1.96 % (25478)Termination reason: Unknown 10.06/1.96 % (25478)Termination phase: Function definition elimination 10.06/1.96 10.06/1.96 % (25478)Memory used [KB]: 2430 10.06/1.96 % (25478)Time elapsed: 0.099 s 10.06/1.96 % (25478)Instructions burned: 465 (million) 10.06/1.96 % (25478)------------------------------ 10.06/1.96 % (25478)------------------------------ 10.06/1.97 % (25479)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on E---3.1_25246 for (2384ds/1376Mi) 10.27/2.01 % (25477)Instruction limit reached! 10.27/2.01 % (25477)------------------------------ 10.27/2.01 % (25477)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.27/2.01 % (25477)Termination reason: Unknown 10.27/2.01 % (25477)Termination phase: Function definition elimination 10.27/2.01 10.27/2.01 % (25477)Memory used [KB]: 2430 10.27/2.01 % (25477)Time elapsed: 0.163 s 10.27/2.01 % (25477)Instructions burned: 799 (million) 10.27/2.01 % (25477)------------------------------ 10.27/2.01 % (25477)------------------------------ 10.27/2.02 % (25480)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on E---3.1_25246 for (2384ds/906Mi) 10.89/2.16 % (25470)Instruction limit reached! 10.89/2.16 % (25470)------------------------------ 10.89/2.16 % (25470)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.89/2.16 % (25470)Termination reason: Unknown 10.89/2.16 % (25470)Termination phase: Saturation 10.89/2.16 10.89/2.16 % (25470)Memory used [KB]: 9210 10.89/2.16 % (25470)Time elapsed: 0.533 s 10.89/2.16 % (25470)Instructions burned: 1827 (million) 10.89/2.16 % (25470)------------------------------ 10.89/2.16 % (25470)------------------------------ 12.26/2.17 % (25481)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on E---3.1_25246 for (2382ds/434Mi) 12.26/2.21 % (25480)Instruction limit reached! 12.26/2.21 % (25480)------------------------------ 12.26/2.21 % (25480)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.26/2.21 % (25480)Termination reason: Unknown 12.26/2.21 % (25480)Termination phase: Function definition elimination 12.26/2.21 12.26/2.21 % (25480)Memory used [KB]: 2430 12.26/2.21 % (25480)Time elapsed: 0.188 s 12.26/2.21 % (25480)Instructions burned: 908 (million) 12.26/2.21 % (25480)------------------------------ 12.26/2.21 % (25480)------------------------------ 12.26/2.22 % (25482)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on E---3.1_25246 for (2382ds/865Mi) 12.70/2.24 % (25479)Instruction limit reached! 12.70/2.24 % (25479)------------------------------ 12.70/2.24 % (25479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.70/2.24 % (25479)Termination reason: Unknown 12.70/2.24 % (25479)Termination phase: Function definition elimination 12.70/2.24 12.70/2.24 % (25479)Memory used [KB]: 2558 12.70/2.24 % (25479)Time elapsed: 0.275 s 12.70/2.24 % (25479)Instructions burned: 1377 (million) 12.70/2.24 % (25479)------------------------------ 12.70/2.24 % (25479)------------------------------ 12.70/2.25 % (25483)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on E---3.1_25246 for (2381ds/593Mi) 12.84/2.29 % (25481)Instruction limit reached! 12.84/2.29 % (25481)------------------------------ 12.84/2.29 % (25481)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.84/2.29 % (25481)Termination reason: Unknown 12.84/2.29 % (25481)Termination phase: Saturation 12.84/2.29 12.84/2.29 % (25481)Memory used [KB]: 7036 12.84/2.29 % (25481)Time elapsed: 0.139 s 12.84/2.29 % (25481)Instructions burned: 434 (million) 12.84/2.29 % (25481)------------------------------ 12.84/2.29 % (25481)------------------------------ 12.84/2.30 % (25484)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on E---3.1_25246 for (2381ds/443Mi) 13.18/2.35 % (25452)Instruction limit reached! 13.18/2.35 % (25452)------------------------------ 13.18/2.35 % (25452)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 13.18/2.35 % (25452)Termination reason: Unknown 13.18/2.35 % (25452)Termination phase: Property scanning 13.18/2.35 13.18/2.35 % (25452)Memory used [KB]: 2814 13.18/2.35 % (25452)Time elapsed: 1.131 s 13.18/2.35 % (25452)Instructions burned: 5208 (million) 13.18/2.35 % (25452)------------------------------ 13.18/2.35 % (25452)------------------------------ 13.24/2.36 % (25485)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on E---3.1_25246 for (2380ds/594Mi) 13.24/2.37 % (25483)Instruction limit reached! 13.24/2.37 % (25483)------------------------------ 13.24/2.37 % (25483)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 13.24/2.37 % (25483)Termination reason: Unknown 13.24/2.37 % (25483)Termination phase: Function definition elimination 13.24/2.37 13.24/2.37 % (25483)Memory used [KB]: 2430 13.24/2.37 % (25483)Time elapsed: 0.123 s 13.24/2.37 % (25483)Instructions burned: 595 (million) 13.24/2.37 % (25483)------------------------------ 13.24/2.37 % (25483)------------------------------ 13.24/2.38 % (25486)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on E---3.1_25246 for (2380ds/327Mi) 13.24/2.39 % (25482)First to succeed. 13.24/2.40 % (25482)Refutation found. Thanks to Tanya! 13.24/2.40 % SZS status Theorem for E---3.1_25246 13.24/2.40 % SZS output start Proof for E---3.1_25246 13.24/2.40 thf(func_def_0, type, is_of: $i > ($i > $o) > $o). 13.24/2.40 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o). 13.24/2.40 thf(func_def_3, type, eps: ($i > $o) > $i). 13.24/2.40 thf(func_def_4, type, in: $i > $i > $o). 13.24/2.40 thf(func_def_5, type, d_Subq: $i > $i > $o). 13.24/2.40 thf(func_def_7, type, union: $i > $i). 13.24/2.40 thf(func_def_8, type, power: $i > $i). 13.24/2.40 thf(func_def_9, type, repl: $i > ($i > $i) > $i). 13.24/2.40 thf(func_def_10, type, d_Union_closed: $i > $o). 13.24/2.40 thf(func_def_11, type, d_Power_closed: $i > $o). 13.24/2.40 thf(func_def_12, type, d_Repl_closed: $i > $o). 13.24/2.40 thf(func_def_13, type, d_ZF_closed: $i > $o). 13.24/2.40 thf(func_def_14, type, univof: $i > $i). 13.24/2.40 thf(func_def_15, type, if: $o > $i > $i > $i). 13.24/2.40 thf(func_def_16, type, nIn: $i > $i > $o). 13.24/2.40 thf(func_def_17, type, d_UPair: $i > $i > $i). 13.24/2.40 thf(func_def_18, type, d_Sing: $i > $i). 13.24/2.40 thf(func_def_19, type, binunion: $i > $i > $i). 13.24/2.40 thf(func_def_20, type, famunion: $i > ($i > $i) > $i). 13.24/2.40 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i). 13.24/2.40 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i). 13.24/2.40 thf(func_def_23, type, setminus: $i > $i > $i). 13.24/2.40 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o). 13.24/2.40 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i). 13.24/2.40 thf(func_def_26, type, ordsucc: $i > $i). 13.24/2.40 thf(func_def_27, type, nat_p: $i > $o). 13.24/2.40 thf(func_def_29, type, d_Inj1: $i > $i). 13.24/2.40 thf(func_def_30, type, d_Inj0: $i > $i). 13.24/2.40 thf(func_def_31, type, d_Unj: $i > $i). 13.24/2.40 thf(func_def_32, type, pair: $i > $i > $i). 13.24/2.40 thf(func_def_33, type, proj0: $i > $i). 13.24/2.40 thf(func_def_34, type, proj1: $i > $i). 13.24/2.40 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i). 13.24/2.40 thf(func_def_36, type, setprod: $i > $i > $i). 13.24/2.40 thf(func_def_37, type, ap: $i > $i > $i). 13.24/2.40 thf(func_def_38, type, pair_p: $i > $o). 13.24/2.40 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i). 13.24/2.40 thf(func_def_40, type, imp: $o > $o > $o). 13.24/2.40 thf(func_def_41, type, d_not: $o > $o). 13.24/2.40 thf(func_def_42, type, wel: $o > $o). 13.24/2.40 thf(func_def_44, type, l_ec: $o > $o > $o). 13.24/2.40 thf(func_def_45, type, d_and: $o > $o > $o). 13.24/2.40 thf(func_def_46, type, l_or: $o > $o > $o). 13.24/2.40 thf(func_def_47, type, orec: $o > $o > $o). 13.24/2.40 thf(func_def_48, type, l_iff: $o > $o > $o). 13.24/2.40 thf(func_def_49, type, all: $i > ($i > $o) > $o). 13.24/2.40 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o). 13.24/2.40 thf(func_def_51, type, l_some: $i > ($i > $o) > $o). 13.24/2.40 thf(func_def_52, type, or3: $o > $o > $o > $o). 13.24/2.40 thf(func_def_53, type, and3: $o > $o > $o > $o). 13.24/2.40 thf(func_def_54, type, ec3: $o > $o > $o > $o). 13.24/2.40 thf(func_def_55, type, orec3: $o > $o > $o > $o). 13.24/2.40 thf(func_def_56, type, e_is: $i > $i > $i > $o). 13.24/2.40 thf(func_def_57, type, amone: $i > ($i > $o) > $o). 13.24/2.40 thf(func_def_58, type, one: $i > ($i > $o) > $o). 13.24/2.40 thf(func_def_59, type, ind: $i > ($i > $o) > $i). 13.24/2.40 thf(func_def_60, type, injective: $i > $i > $i > $o). 13.24/2.40 thf(func_def_61, type, image: $i > $i > $i > $i > $o). 13.24/2.40 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i). 13.24/2.40 thf(func_def_63, type, soft: $i > $i > $i > $i > $i). 13.24/2.40 thf(func_def_64, type, inverse: $i > $i > $i > $i). 13.24/2.40 thf(func_def_65, type, surjective: $i > $i > $i > $o). 13.24/2.40 thf(func_def_66, type, bijective: $i > $i > $i > $o). 13.24/2.40 thf(func_def_67, type, invf: $i > $i > $i > $i). 13.24/2.40 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i). 13.24/2.40 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i). 13.24/2.40 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i). 13.24/2.40 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i). 13.24/2.40 thf(func_def_72, type, first: $i > $i > $i > $i). 13.24/2.40 thf(func_def_73, type, second: $i > $i > $i > $i). 13.24/2.40 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o). 13.24/2.40 thf(func_def_75, type, ite: $o > $i > $i > $i > $i). 13.24/2.40 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i). 13.24/2.40 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i). 13.24/2.40 thf(func_def_78, type, wissel: $i > $i > $i > $i). 13.24/2.40 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i). 13.24/2.40 thf(func_def_80, type, r_ec: $o > $o > $o). 13.24/2.40 thf(func_def_81, type, esti: $i > $i > $i > $o). 13.24/2.40 thf(func_def_82, type, empty: $i > $i > $o). 13.24/2.40 thf(func_def_83, type, nonempty: $i > $i > $o). 13.24/2.40 thf(func_def_84, type, incl: $i > $i > $i > $o). 13.24/2.40 thf(func_def_85, type, st_disj: $i > $i > $i > $o). 13.24/2.40 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o). 13.24/2.40 thf(func_def_87, type, unmore: $i > $i > $i > $i). 13.24/2.40 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i). 13.24/2.40 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o). 13.24/2.40 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o). 13.24/2.40 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i). 13.24/2.40 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i). 13.24/2.40 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i). 13.24/2.40 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i). 13.24/2.40 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o). 13.24/2.40 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o). 13.24/2.40 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o). 13.24/2.40 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i). 13.24/2.40 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o). 13.24/2.40 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i). 13.24/2.40 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i). 13.24/2.40 thf(func_def_103, type, n_is: $i > $i > $o). 13.24/2.40 thf(func_def_104, type, nis: $i > $i > $o). 13.24/2.40 thf(func_def_105, type, n_in: $i > $i > $o). 13.24/2.40 thf(func_def_106, type, n_some: ($i > $o) > $o). 13.24/2.40 thf(func_def_107, type, n_all: ($i > $o) > $o). 13.24/2.40 thf(func_def_108, type, n_one: ($i > $o) > $o). 13.24/2.40 thf(func_def_110, type, cond1: $i > $o). 13.24/2.40 thf(func_def_111, type, cond2: $i > $o). 13.24/2.40 thf(func_def_112, type, i1_s: ($i > $o) > $i). 13.24/2.40 thf(func_def_113, type, d_22_prop1: $i > $o). 13.24/2.40 thf(func_def_114, type, d_23_prop1: $i > $o). 13.24/2.40 thf(func_def_115, type, d_24_prop1: $i > $o). 13.24/2.40 thf(func_def_116, type, d_24_prop2: $i > $i > $o). 13.24/2.40 thf(func_def_117, type, prop3: $i > $i > $i > $o). 13.24/2.40 thf(func_def_118, type, prop4: $i > $o). 13.24/2.40 thf(func_def_119, type, d_24_g: $i > $i). 13.24/2.40 thf(func_def_120, type, plus: $i > $i). 13.24/2.40 thf(func_def_121, type, n_pl: $i > $i > $i). 13.24/2.40 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o). 13.24/2.40 thf(func_def_123, type, d_26_prop1: $i > $i > $o). 13.24/2.40 thf(func_def_124, type, d_27_prop1: $i > $i > $o). 13.24/2.40 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o). 13.24/2.40 thf(func_def_126, type, diffprop: $i > $i > $i > $o). 13.24/2.40 thf(func_def_127, type, d_29_ii: $i > $i > $o). 13.24/2.40 thf(func_def_128, type, iii: $i > $i > $o). 13.24/2.40 thf(func_def_129, type, d_29_prop1: $i > $i > $o). 13.24/2.40 thf(func_def_130, type, moreis: $i > $i > $o). 13.24/2.40 thf(func_def_131, type, lessis: $i > $i > $o). 13.24/2.40 thf(func_def_132, type, lbprop: ($i > $o) > $i > $i > $o). 13.24/2.40 thf(func_def_133, type, n_lb: ($i > $o) > $i > $o). 13.24/2.40 thf(func_def_134, type, min: ($i > $o) > $i > $o). 13.24/2.40 thf(func_def_135, type, d_428_prop1: $i > $i > $o). 13.24/2.40 thf(func_def_136, type, d_428_prop2: $i > $i > $o). 13.24/2.40 thf(func_def_137, type, d_428_prop4: $i > $o). 13.24/2.40 thf(func_def_139, type, d_428_g: $i > $i). 13.24/2.40 thf(func_def_140, type, times: $i > $i). 13.24/2.40 thf(func_def_141, type, n_ts: $i > $i > $i). 13.24/2.40 thf(func_def_142, type, d_429_prop1: $i > $i > $o). 13.24/2.40 thf(func_def_143, type, d_430_prop1: $i > $i > $i > $o). 13.24/2.40 thf(func_def_144, type, d_431_prop1: $i > $i > $i > $o). 13.24/2.40 thf(func_def_145, type, n_mn: $i > $i > $i). 13.24/2.40 thf(func_def_146, type, d_1to: $i > $i). 13.24/2.40 thf(func_def_147, type, outn: $i > $i > $i). 13.24/2.40 thf(func_def_148, type, inn: $i > $i > $i). 13.24/2.40 thf(func_def_150, type, singlet_u0: $i > $i). 13.24/2.40 thf(func_def_154, type, pair_u0: $i > $i). 13.24/2.40 thf(func_def_155, type, pair1type: $i > $i). 13.24/2.40 thf(func_def_156, type, pair1: $i > $i > $i > $i). 13.24/2.40 thf(func_def_157, type, first1: $i > $i > $i). 13.24/2.40 thf(func_def_158, type, second1: $i > $i > $i). 13.24/2.40 thf(func_def_159, type, pair_q0: $i > $i > $i). 13.24/2.40 thf(func_def_160, type, d_1out: $i > $i). 13.24/2.40 thf(func_def_161, type, xout: $i > $i). 13.24/2.40 thf(func_def_162, type, left1to: $i > $i > $i > $i). 13.24/2.40 thf(func_def_163, type, right1to: $i > $i > $i > $i). 13.24/2.40 thf(func_def_164, type, left: $i > $i > $i > $i > $i). 13.24/2.40 thf(func_def_165, type, right: $i > $i > $i > $i > $i). 13.24/2.40 thf(func_def_166, type, left_f1: $i > $i > $i > $i > $i). 13.24/2.40 thf(func_def_167, type, left_f2: $i > $i > $i > $i > $i). 13.24/2.40 thf(func_def_169, type, n_fr: $i > $i > $i). 13.24/2.40 thf(func_def_170, type, num: $i > $i). 13.24/2.40 thf(func_def_171, type, den: $i > $i). 13.24/2.40 thf(func_def_172, type, n_eq: $i > $i > $o). 13.24/2.40 thf(func_def_192, type, diff: !>[X0: $tType, X1: $tType]:((X0 > X1) > (X0 > X1) > X0)). 13.24/2.40 thf(func_def_194, type, sK1: ($i > $i) > $i > ($i > $i) > $i). 13.24/2.40 thf(func_def_195, type, sK2: $i > $i > $i > $i). 13.24/2.40 thf(func_def_196, type, sK3: ($i > $o) > $i). 13.24/2.40 thf(func_def_199, type, sK6: ($i > $i) > ($i > $i) > $i > $i). 13.24/2.40 thf(func_def_200, type, ph7: !>[X0: $tType]:(X0)). 13.24/2.40 thf(f2641,plain,( 13.24/2.40 $false), 13.24/2.40 inference(trivial_inequality_removal,[status(thm)],[f2640])). 13.24/2.40 thf(f2640,plain,( 13.24/2.40 ($true = $false)), 13.24/2.40 inference(backward_demodulation,[status(thm)],[f2065,f2639])). 13.24/2.40 thf(f2639,plain,( 13.24/2.40 ($false = (in @ sK4 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat)))))), 13.24/2.40 inference(trivial_inequality_removal,[status(thm)],[f2638])). 13.24/2.40 thf(f2638,plain,( 13.24/2.40 ($true = $false) | ($false = (in @ sK4 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat)))))), 13.24/2.40 inference(forward_demodulation,[status(thm)],[f2635,f2069])). 13.24/2.40 thf(f2069,plain,( 13.24/2.40 ($true = (in @ sK5 @ nat))), 13.24/2.40 inference(binary_proxy_clausification,[status(thm)],[f2067])). 13.24/2.40 thf(f2067,plain,( 13.24/2.40 (((in @ sK5 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ sK5))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ sK5)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ sK5))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ sK5)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) = $false)), 13.24/2.40 inference(beta_eta_normalization,[status(thm)],[f2066])). 13.24/2.40 thf(f2066,plain,( 13.24/2.40 (((^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))) @ sK5) = $false)), 13.24/2.40 inference(sigma_clausification,[status(thm)],[f2064])). 13.24/2.40 thf(f2064,plain,( 13.24/2.40 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))))), 13.24/2.40 inference(binary_proxy_clausification,[status(thm)],[f2063])). 13.24/2.40 thf(f2063,plain,( 13.24/2.40 ($false = ((in @ sK4 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat)))) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))))))), 13.24/2.40 inference(beta_eta_normalization,[status(thm)],[f2062])). 13.24/2.40 thf(f2062,plain,( 13.24/2.40 (((^[Y0 : $i]: ((in @ Y0 @ (d_Pi @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (nat)))) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))))) @ sK4) = $false)), 13.24/2.40 inference(sigma_clausification,[status(thm)],[f1320])). 13.24/2.40 thf(f1320,plain,( 13.24/2.40 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (d_Pi @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (nat)))) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))))))))), 13.24/2.40 inference(beta_eta_normalization,[status(thm)],[f1155])). 13.24/2.40 thf(f1155,plain,( 13.24/2.40 ($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 @ ((^[Y1 : $i]: (d_Pi @ ((^[Y2 : $i]: (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ Y2)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y2 : $i]: (Y1)))) @ nat))) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y3)) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y2)))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (d_Sigma @ ((^[Y5 : $i]: (d_Sep @ nat @ (^[Y6 : $i]: (lessis @ Y6 @ Y5)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (ind @ Y7 @ ((^[Y10 : $o]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: (d_and @ ((^[Y15 : $o]: ((^[Y16 : $o]: (Y15 => Y16)))) @ Y10 @ ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: (Y16 = Y17)))))) @ Y11 @ Y14 @ Y12)) @ ((^[Y15 : $o]: ((^[Y16 : $o]: (Y15 => Y16)))) @ (d_not @ Y10) @ ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: (Y16 = Y17)))))) @ Y11 @ Y14 @ Y13)))))))))))) @ Y6 @ Y7 @ Y8 @ Y9))))))))) @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7 = Y8)))))) @ ((^[Y6 : $i]: (d_Sep @ nat @ (^[Y7 : $i]: (lessis @ Y7 @ Y6)))) @ (n_pl @ n_1 @ n_1)) @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y2 @ Y3 @ Y4)))))))) @ nat @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y0) @ Y1) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y0) @ Y1)) @ Y0))))))), 13.24/2.40 inference(definition_unfolding,[status(thm)],[f961,f1112,f1135,f1112,f1140,f1136,f1137,f1138])). 13.24/2.40 thf(f1138,plain,( 13.24/2.40 (den = ((^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat))), 13.24/2.40 inference(definition_unfolding,[status(thm)],[f996,f1127])). 13.24/2.40 thf(f1127,plain,( 13.24/2.40 (second1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))), 13.24/2.40 inference(definition_unfolding,[status(thm)],[f1032,f1122])). 13.24/2.40 thf(f1122,plain,( 13.24/2.40 (n_2t = (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))), 13.24/2.40 inference(definition_unfolding,[status(thm)],[f982,f1091,f1091])). 13.24/2.40 thf(f1091,plain,( 13.24/2.40 (n_2 = (n_pl @ n_1 @ n_1))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f912])). 13.24/2.40 thf(f912,plain,( 13.24/2.40 (n_2 = (n_pl @ n_1 @ n_1))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f210])). 13.24/2.40 thf(f210,axiom,( 13.24/2.40 (n_2 = (n_pl @ n_1 @ n_1))), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_n_2)). 13.24/2.40 thf(f982,plain,( 13.24/2.40 (n_2t = (outn @ n_2 @ n_2))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f621])). 13.24/2.40 thf(f621,plain,( 13.24/2.40 (n_2t = (outn @ n_2 @ n_2))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f212])). 13.24/2.40 thf(f212,axiom,( 13.24/2.40 (n_2t = (outn @ n_2 @ n_2))), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_n_2t)). 13.24/2.40 thf(f1032,plain,( 13.24/2.40 (second1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_2t)))))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f791])). 13.24/2.40 thf(f791,plain,( 13.24/2.40 (second1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_2t)))))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f217])). 13.24/2.40 thf(f217,axiom,( 13.24/2.40 (second1 = (^[X0 : $i, X1 : $i] : (ap @ X1 @ n_2t)))), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_second1)). 13.24/2.40 thf(f996,plain,( 13.24/2.40 (den = (second1 @ nat))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f804])). 13.24/2.40 thf(f804,plain,( 13.24/2.40 (den = (second1 @ nat))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f230])). 13.24/2.40 thf(f230,axiom,( 13.24/2.40 (den = (second1 @ nat))), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_den)). 13.24/2.40 thf(f1137,plain,( 13.24/2.40 (num = ((^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat))), 13.24/2.40 inference(definition_unfolding,[status(thm)],[f1068,f1126])). 13.24/2.40 thf(f1126,plain,( 13.24/2.40 (first1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))))), 13.24/2.40 inference(definition_unfolding,[status(thm)],[f985,f1121])). 13.24/2.40 thf(f1121,plain,( 13.24/2.40 (n_1t = (outn @ (n_pl @ n_1 @ n_1) @ n_1))), 13.24/2.40 inference(definition_unfolding,[status(thm)],[f976,f1091])). 13.24/2.40 thf(f976,plain,( 13.24/2.40 (n_1t = (outn @ n_2 @ n_1))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f545])). 13.24/2.40 thf(f545,plain,( 13.24/2.40 (n_1t = (outn @ n_2 @ n_1))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f211])). 13.24/2.40 thf(f211,axiom,( 13.24/2.40 (n_1t = (outn @ n_2 @ n_1))), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_n_1t)). 13.24/2.40 thf(f985,plain,( 13.24/2.40 (first1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_1t)))))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f757])). 13.24/2.40 thf(f757,plain,( 13.24/2.40 (first1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_1t)))))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f216])). 13.24/2.40 thf(f216,axiom,( 13.24/2.40 ((^[X0 : $i, X1 : $i] : (ap @ X1 @ n_1t)) = first1)), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_first1)). 13.24/2.40 thf(f1068,plain,( 13.24/2.40 (num = (first1 @ nat))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f845])). 13.24/2.40 thf(f845,plain,( 13.24/2.40 (num = (first1 @ nat))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f229])). 13.24/2.40 thf(f229,axiom,( 13.24/2.40 (num = (first1 @ nat))), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_num)). 13.24/2.40 thf(f1136,plain,( 13.24/2.40 (n_fr = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (d_Sigma @ ((^[Y3 : $i]: (d_Sep @ nat @ (^[Y4 : $i]: (lessis @ Y4 @ Y3)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (ind @ Y5 @ ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (d_and @ ((^[Y13 : $o]: ((^[Y14 : $o]: (Y13 => Y14)))) @ Y8 @ ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (Y14 = Y15)))))) @ Y9 @ Y12 @ Y10)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (Y13 => Y14)))) @ (d_not @ Y8) @ ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (Y14 = Y15)))))) @ Y9 @ Y12 @ Y11)))))))))))) @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ ((^[Y4 : $i]: (d_Sep @ nat @ (^[Y5 : $i]: (lessis @ Y5 @ Y4)))) @ (n_pl @ n_1 @ n_1)) @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0 @ Y1 @ Y2)))))))) @ nat))), 13.24/2.40 inference(definition_unfolding,[status(thm)],[f1096,f1125])). 13.24/2.40 thf(f1125,plain,( 13.24/2.40 (pair1 = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (d_Sigma @ ((^[Y3 : $i]: (d_Sep @ nat @ (^[Y4 : $i]: (lessis @ Y4 @ Y3)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (ind @ Y5 @ ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (d_and @ ((^[Y13 : $o]: ((^[Y14 : $o]: (Y13 => Y14)))) @ Y8 @ ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (Y14 = Y15)))))) @ Y9 @ Y12 @ Y10)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (Y13 => Y14)))) @ (d_not @ Y8) @ ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (Y14 = Y15)))))) @ Y9 @ Y12 @ Y11)))))))))))) @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ ((^[Y4 : $i]: (d_Sep @ nat @ (^[Y5 : $i]: (lessis @ Y5 @ Y4)))) @ (n_pl @ n_1 @ n_1)) @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0 @ Y1 @ Y2)))))))))), 13.24/2.40 inference(definition_unfolding,[status(thm)],[f1031,f1054,f1091,f1114,f1062,f1054,f1091,f1121])). 13.24/2.40 thf(f1062,plain,( 13.24/2.40 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f695])). 13.24/2.40 thf(f695,plain,( 13.24/2.40 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f694])). 13.24/2.40 thf(f694,plain,( 13.24/2.40 (e_is = (^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))))), 13.24/2.40 inference(rectify,[status(thm)],[f49])). 13.24/2.40 thf(f49,axiom,( 13.24/2.40 (e_is = (^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))))), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_e_is)). 13.24/2.40 thf(f1114,plain,( 13.24/2.40 (ite = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (ind @ Y1 @ ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (d_and @ ((^[Y9 : $o]: ((^[Y10 : $o]: (Y9 => Y10)))) @ Y4 @ ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ Y5 @ Y8 @ Y6)) @ ((^[Y9 : $o]: ((^[Y10 : $o]: (Y9 => Y10)))) @ (d_not @ Y4) @ ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ Y5 @ Y8 @ Y7)))))))))))) @ Y0 @ Y1 @ Y2 @ Y3))))))))))), 13.24/2.40 inference(definition_unfolding,[status(thm)],[f947,f1113])). 13.24/2.40 thf(f1113,plain,( 13.24/2.40 (prop1 = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (d_and @ ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ Y0 @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ Y1 @ Y4 @ Y2)) @ ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y0) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ Y1 @ Y4 @ Y3)))))))))))))), 13.24/2.40 inference(definition_unfolding,[status(thm)],[f1048,f1043,f1062,f1043,f1062])). 13.24/2.40 thf(f1043,plain,( 13.24/2.40 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f747])). 13.24/2.40 thf(f747,plain,( 13.24/2.40 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f746])). 13.24/2.40 thf(f746,plain,( 13.24/2.40 ((^[X0 : $o, X1 : $o] : (X0 => X1)) = imp)), 13.24/2.40 inference(rectify,[status(thm)],[f33])). 13.24/2.40 thf(f33,axiom,( 13.24/2.40 ((^[X0 : $o, X1 : $o] : (X0 => X1)) = imp)), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_imp)). 13.24/2.40 thf(f1048,plain,( 13.24/2.40 (prop1 = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (d_and @ (imp @ Y0 @ (e_is @ Y1 @ Y4 @ Y2)) @ (imp @ (d_not @ Y0) @ (e_is @ Y1 @ Y4 @ Y3)))))))))))))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f884])). 13.24/2.40 thf(f884,plain,( 13.24/2.40 (prop1 = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (d_and @ (imp @ Y0 @ (e_is @ Y1 @ Y4 @ Y2)) @ (imp @ (d_not @ Y0) @ (e_is @ Y1 @ Y4 @ Y3)))))))))))))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f67])). 13.24/2.40 thf(f67,axiom,( 13.24/2.40 (prop1 = (^[X0 : $o, X1 : $i, X2 : $i, X3 : $i, X4 : $i] : (d_and @ (imp @ X0 @ (e_is @ X1 @ X4 @ X2)) @ (imp @ (d_not @ X0) @ (e_is @ X1 @ X4 @ X3)))))), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_prop1)). 13.24/2.40 thf(f947,plain,( 13.24/2.40 (ite = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (ind @ Y1 @ (prop1 @ Y0 @ Y1 @ Y2 @ Y3))))))))))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f919])). 13.24/2.40 thf(f919,plain,( 13.24/2.40 (ite = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (ind @ Y1 @ (prop1 @ Y0 @ Y1 @ Y2 @ Y3))))))))))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f68])). 13.24/2.40 thf(f68,axiom,( 13.24/2.40 ((^[X0 : $o, X1 : $i, X2 : $i, X3 : $i] : (ind @ X1 @ (prop1 @ X0 @ X1 @ X2 @ X3))) = ite)), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_ite)). 13.24/2.40 thf(f1054,plain,( 13.24/2.40 (d_1to = (^[Y0 : $i]: (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ Y0)))))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f458])). 13.24/2.40 thf(f458,plain,( 13.24/2.40 (d_1to = (^[Y0 : $i]: (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ Y0)))))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f205])). 13.24/2.40 thf(f205,axiom,( 13.24/2.40 (d_1to = (^[X0 : $i] : (d_Sep @ nat @ (^[X1 : $i] : (lessis @ X1 @ X0)))))), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_d_1to)). 13.24/2.40 thf(f1031,plain,( 13.24/2.40 (pair1 = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (ite @ (e_is @ (d_1to @ n_2) @ Y3 @ n_1t) @ Y0 @ Y1 @ Y2)))))))))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f510])). 13.24/2.40 thf(f510,plain,( 13.24/2.40 (pair1 = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (ite @ (e_is @ (d_1to @ n_2) @ Y3 @ n_1t) @ Y0 @ Y1 @ Y2)))))))))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f215])). 13.24/2.40 thf(f215,axiom,( 13.24/2.40 (pair1 = (^[X0 : $i, X1 : $i, X2 : $i] : (d_Sigma @ (d_1to @ n_2) @ (^[X3 : $i] : (ite @ (e_is @ (d_1to @ n_2) @ X3 @ n_1t) @ X0 @ X1 @ X2)))))), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_pair1)). 13.24/2.40 thf(f1096,plain,( 13.24/2.40 (n_fr = (pair1 @ nat))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f418])). 13.24/2.40 thf(f418,plain,( 13.24/2.40 (n_fr = (pair1 @ nat))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f228])). 13.24/2.40 thf(f228,axiom,( 13.24/2.40 (n_fr = (pair1 @ nat))), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_n_fr)). 13.24/2.40 thf(f1140,plain,( 13.24/2.40 (n_eq = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3 = Y4)))))) @ nat @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y0) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y1)) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y0)))))))), 13.24/2.40 inference(definition_unfolding,[status(thm)],[f1058,f1139,f1137,f1138,f1137,f1138])). 13.24/2.40 thf(f1139,plain,( 13.24/2.40 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))), 13.24/2.40 inference(definition_unfolding,[status(thm)],[f965,f1062])). 13.24/2.40 thf(f965,plain,( 13.24/2.40 (n_is = (e_is @ nat))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f488])). 13.24/2.40 thf(f488,plain,( 13.24/2.40 (n_is = (e_is @ nat))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f96])). 13.24/2.40 thf(f96,axiom,( 13.24/2.40 (n_is = (e_is @ nat))), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_n_is)). 13.24/2.40 thf(f1058,plain,( 13.24/2.40 (n_eq = (^[Y0 : $i]: ((^[Y1 : $i]: (n_is @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f569])). 13.24/2.40 thf(f569,plain,( 13.24/2.40 (n_eq = (^[Y0 : $i]: ((^[Y1 : $i]: (n_is @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f231])). 13.24/2.40 thf(f231,axiom,( 13.24/2.40 (n_eq = (^[X0 : $i, X1 : $i] : (n_is @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0)))))), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_n_eq)). 13.24/2.40 thf(f1135,plain,( 13.24/2.40 (frac = ((^[Y0 : $i]: (d_Pi @ ((^[Y1 : $i]: (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ Y1)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y1 : $i]: (Y0)))) @ nat))), 13.24/2.40 inference(definition_unfolding,[status(thm)],[f988,f1124])). 13.24/2.40 thf(f1124,plain,( 13.24/2.40 (pair1type = (^[Y0 : $i]: (d_Pi @ ((^[Y1 : $i]: (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ Y1)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y1 : $i]: (Y0)))))), 13.24/2.40 inference(definition_unfolding,[status(thm)],[f1008,f1054,f1091])). 13.24/2.40 thf(f1008,plain,( 13.24/2.40 (pair1type = (^[Y0 : $i]: (d_Pi @ (d_1to @ n_2) @ (^[Y1 : $i]: (Y0)))))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f768])). 13.24/2.40 thf(f768,plain,( 13.24/2.40 (pair1type = (^[Y0 : $i]: (d_Pi @ (d_1to @ n_2) @ (^[Y1 : $i]: (Y0)))))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f214])). 13.24/2.40 thf(f214,axiom,( 13.24/2.40 ((^[X0 : $i] : (d_Pi @ (d_1to @ n_2) @ (^[X1 : $i] : (X0)))) = pair1type)), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_pair1type)). 13.24/2.40 thf(f988,plain,( 13.24/2.40 (frac = (pair1type @ nat))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f829])). 13.24/2.40 thf(f829,plain,( 13.24/2.40 (frac = (pair1type @ nat))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f227])). 13.24/2.40 thf(f227,axiom,( 13.24/2.40 (frac = (pair1type @ nat))), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_frac)). 13.24/2.40 thf(f1112,plain,( 13.24/2.40 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))), 13.24/2.40 inference(definition_unfolding,[status(thm)],[f993,f1078])). 13.24/2.40 thf(f1078,plain,( 13.24/2.40 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f468])). 13.24/2.40 thf(f468,plain,( 13.24/2.40 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f1])). 13.24/2.40 thf(f1,axiom,( 13.24/2.40 ((^[X0 : $i, X1 : $i > $o] : (X1 @ X0)) = is_of)), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_is_of)). 13.24/2.40 thf(f993,plain,( 13.24/2.40 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f702])). 13.24/2.40 thf(f702,plain,( 13.24/2.40 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f701])). 13.24/2.40 thf(f701,plain,( 13.24/2.40 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2 : $i] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)), 13.24/2.40 inference(rectify,[status(thm)],[f2])). 13.24/2.40 thf(f2,axiom,( 13.24/2.40 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2 : $i] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',def_all_of)). 13.24/2.40 thf(f961,plain,( 13.24/2.40 ($true != (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_eq @ (n_fr @ (n_ts @ (num @ Y0) @ Y1) @ (n_ts @ (den @ Y0) @ Y1)) @ Y0))))))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f942])). 13.24/2.40 thf(f942,plain,( 13.24/2.40 ($true != (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_eq @ (n_fr @ (n_ts @ (num @ Y0) @ Y1) @ (n_ts @ (den @ Y0) @ Y1)) @ Y0))))))), 13.24/2.40 inference(flattening,[status(thm)],[f638])). 13.24/2.40 thf(f638,plain,( 13.24/2.40 ~($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_eq @ (n_fr @ (n_ts @ (num @ Y0) @ Y1) @ (n_ts @ (den @ Y0) @ Y1)) @ Y0))))))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f637])). 13.24/2.40 thf(f637,plain,( 13.24/2.40 ~(all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (n_eq @ (n_fr @ (n_ts @ (num @ X1) @ X3) @ (n_ts @ (den @ X1) @ X3)) @ X1)))))), 13.24/2.40 inference(rectify,[status(thm)],[f260])). 13.24/2.40 thf(f260,negated_conjecture,( 13.24/2.40 ~(all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (n_eq @ (n_fr @ (n_ts @ (num @ X0) @ X1) @ (n_ts @ (den @ X0) @ X1)) @ X0)))))), 13.24/2.40 inference(negated_conjecture,[status(cth)],[f259])). 13.24/2.40 thf(f259,conjecture,( 13.24/2.40 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (n_eq @ (n_fr @ (n_ts @ (num @ X0) @ X1) @ (n_ts @ (den @ X0) @ X1)) @ X0)))))), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',satz40a)). 13.24/2.40 thf(f2635,plain,( 13.24/2.40 ($false = (in @ sK4 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat))))) | ((in @ sK5 @ nat) = $false)), 13.24/2.40 inference(trivial_inequality_removal,[status(thm)],[f2629])). 13.24/2.40 thf(f2629,plain,( 13.24/2.40 ($false = (in @ sK4 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat))))) | ((n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ sK5))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ sK5)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) != (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ sK5))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ sK5)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))) | ((in @ sK5 @ nat) = $false)), 13.24/2.40 inference(superposition,[status(thm)],[f2070,f1833])). 13.24/2.40 thf(f1833,plain,( 13.24/2.40 ( ! [X2 : $i,X1 : $i] : (((n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ X2))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ X2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ X2))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ X2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))) | ($false = (in @ X1 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat))))) | ((in @ X2 @ nat) = $false)) )), 13.24/2.40 inference(equality_proxy_clausification,[status(thm)],[f1832])). 13.24/2.40 thf(f1832,plain,( 13.24/2.40 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ($false = (in @ X1 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat))))) | ($true = ((n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ X2))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ X2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ X2))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ X2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))) )), 13.24/2.40 inference(binary_proxy_clausification,[status(thm)],[f1831])). 13.24/2.40 thf(f1831,plain,( 13.24/2.40 ( ! [X2 : $i,X1 : $i] : (($true = ((in @ X2 @ nat) => ((n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ X2))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ X2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ X2))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ X2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))) | ($false = (in @ X1 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat)))))) )), 13.24/2.40 inference(beta_eta_normalization,[status(thm)],[f1830])). 13.24/2.40 thf(f1830,plain,( 13.24/2.40 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))) @ X2)) | ($false = (in @ X1 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat)))))) )), 13.24/2.40 inference(pi_clausification,[status(thm)],[f1829])). 13.24/2.40 thf(f1829,plain,( 13.24/2.40 ( ! [X1 : $i] : (($false = (in @ X1 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))))) )), 13.24/2.40 inference(binary_proxy_clausification,[status(thm)],[f1828])). 13.24/2.40 thf(f1828,plain,( 13.24/2.40 ( ! [X1 : $i] : (($true = ((in @ X1 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat)))) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))))))) )), 13.24/2.40 inference(beta_eta_normalization,[status(thm)],[f1827])). 13.24/2.40 thf(f1827,plain,( 13.24/2.40 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ (d_Pi @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (nat)))) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))))) @ X1))) )), 13.24/2.40 inference(pi_clausification,[status(thm)],[f1344])). 13.24/2.40 thf(f1344,plain,( 13.24/2.40 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (d_Pi @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (nat)))) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))))))))), 13.24/2.40 inference(beta_eta_normalization,[status(thm)],[f1193])). 13.24/2.40 thf(f1193,plain,( 13.24/2.40 ($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 @ ((^[Y1 : $i]: (d_Pi @ ((^[Y2 : $i]: (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ Y2)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y2 : $i]: (Y1)))) @ nat))) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y3)) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y2)))))) @ Y0 @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (d_Sigma @ ((^[Y5 : $i]: (d_Sep @ nat @ (^[Y6 : $i]: (lessis @ Y6 @ Y5)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (ind @ Y7 @ ((^[Y10 : $o]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: (d_and @ ((^[Y15 : $o]: ((^[Y16 : $o]: (Y15 => Y16)))) @ Y10 @ ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: (Y16 = Y17)))))) @ Y11 @ Y14 @ Y12)) @ ((^[Y15 : $o]: ((^[Y16 : $o]: (Y15 => Y16)))) @ (d_not @ Y10) @ ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: (Y16 = Y17)))))) @ Y11 @ Y14 @ Y13)))))))))))) @ Y6 @ Y7 @ Y8 @ Y9))))))))) @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7 = Y8)))))) @ ((^[Y6 : $i]: (d_Sep @ nat @ (^[Y7 : $i]: (lessis @ Y7 @ Y6)))) @ (n_pl @ n_1 @ n_1)) @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y2 @ Y3 @ Y4)))))))) @ nat @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y0) @ Y1) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y0) @ Y1))))))))), 13.24/2.40 inference(definition_unfolding,[status(thm)],[f1013,f1112,f1135,f1112,f1140,f1136,f1137,f1138])). 13.24/2.40 thf(f1013,plain,( 13.24/2.40 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_eq @ Y0 @ (n_fr @ (n_ts @ (num @ Y0) @ Y1) @ (n_ts @ (den @ Y0) @ Y1))))))))), 13.24/2.40 inference(cnf_transformation,[status(thm)],[f420])). 13.24/2.40 thf(f420,plain,( 13.24/2.40 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_eq @ Y0 @ (n_fr @ (n_ts @ (num @ Y0) @ Y1) @ (n_ts @ (den @ Y0) @ Y1))))))))), 13.24/2.40 inference(fool_elimination,[status(thm)],[f419])). 13.24/2.40 thf(f419,plain,( 13.24/2.40 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (n_eq @ X1 @ (n_fr @ (n_ts @ (num @ X1) @ X3) @ (n_ts @ (den @ X1) @ X3)))))))), 13.24/2.40 inference(rectify,[status(thm)],[f320])). 13.24/2.40 thf(f320,axiom,( 13.24/2.40 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (n_eq @ X0 @ (n_fr @ (n_ts @ (num @ X0) @ X1) @ (n_ts @ (den @ X0) @ X1)))))))), 13.24/2.40 file('/export/starexec/sandbox/tmp/tmp.soFMMd44XH/E---3.1_25246.p',satz40)). 13.24/2.40 thf(f2070,plain,( 13.24/2.40 ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ sK5))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ sK5)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) != (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ sK5))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ sK5)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))), 13.24/2.40 inference(equality_proxy_clausification,[status(thm)],[f2068])). 13.24/2.40 thf(f2068,plain,( 13.24/2.40 (((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ sK5))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ sK5)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ sK5))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ sK4 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ sK5)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))) = $false)), 13.24/2.40 inference(binary_proxy_clausification,[status(thm)],[f2067])). 13.24/2.40 thf(f2065,plain,( 13.24/2.40 ($true = (in @ sK4 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat)))))), 13.24/2.40 inference(binary_proxy_clausification,[status(thm)],[f2063])). 13.24/2.40 % SZS output end Proof for E---3.1_25246 13.24/2.40 % (25482)------------------------------ 13.24/2.40 % (25482)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 13.24/2.40 % (25482)Termination reason: Refutation 13.24/2.40 13.24/2.40 % (25482)Memory used [KB]: 9083 13.24/2.40 % (25482)Time elapsed: 0.197 s 13.24/2.40 % (25482)Instructions burned: 605 (million) 13.24/2.40 % (25482)------------------------------ 13.24/2.40 % (25482)------------------------------ 13.24/2.40 % (25352)Success in time 1.99 s 13.24/2.40 EOF