0.08/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.10 % Command : run_vampire %s %d THM 0.09/0.30 % Computer : n029.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 1920 0.09/0.30 % WCLimit : 240 0.09/0.30 % DateTime : Wed Jul 30 08:49:34 EDT 2025 0.09/0.30 % CPUTime : 0.09/0.31 This is a THF_ problem 0.17/0.31 Running higher-order theorem proving 0.17/0.36 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.sw92Spy0Tv/E---3.1_10562.p -m 16384 -t 240 0.21/0.41 % (10672)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_10562 for (2399ds/27Mi) 0.21/0.41 % (10670)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_10562 for (2399ds/183Mi) 0.21/0.41 % (10673)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_10562 for (2399ds/2Mi) 0.21/0.41 % (10675)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_10562 for (2399ds/275Mi) 0.21/0.41 % (10673)Instruction limit reached! 0.21/0.41 % (10673)------------------------------ 0.21/0.41 % (10673)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.41 % (10674)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_10562 for (2399ds/2Mi) 0.21/0.41 % (10673)Termination reason: Unknown 0.21/0.41 % (10673)Termination phase: shuffling 0.21/0.41 0.21/0.41 % (10673)Memory used [KB]: 1535 0.21/0.41 % (10673)Time elapsed: 0.003 s 0.21/0.41 % (10673)Instructions burned: 3 (million) 0.21/0.41 % (10673)------------------------------ 0.21/0.41 % (10673)------------------------------ 0.21/0.41 % (10676)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_10562 for (2399ds/18Mi) 0.21/0.41 % (10671)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_10562 for (2399ds/4Mi) 0.21/0.41 % (10674)Instruction limit reached! 0.21/0.41 % (10674)------------------------------ 0.21/0.41 % (10674)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.41 % (10674)Termination reason: Unknown 0.21/0.41 % (10674)Termination phase: shuffling 0.21/0.41 0.21/0.41 % (10674)Memory used [KB]: 1535 0.21/0.41 % (10674)Time elapsed: 0.003 s 0.21/0.41 % (10674)Instructions burned: 2 (million) 0.21/0.41 % (10674)------------------------------ 0.21/0.41 % (10674)------------------------------ 0.21/0.41 % (10671)Instruction limit reached! 0.21/0.41 % (10671)------------------------------ 0.21/0.41 % (10671)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.41 % (10671)Termination reason: Unknown 0.21/0.41 % (10671)Termination phase: shuffling 0.21/0.41 0.21/0.41 % (10671)Memory used [KB]: 1535 0.21/0.41 % (10671)Time elapsed: 0.004 s 0.21/0.41 % (10671)Instructions burned: 4 (million) 0.21/0.41 % (10671)------------------------------ 0.21/0.41 % (10671)------------------------------ 0.21/0.42 % (10672)Instruction limit reached! 0.21/0.42 % (10672)------------------------------ 0.21/0.42 % (10672)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.42 % (10672)Termination reason: Unknown 0.21/0.42 % (10672)Termination phase: shuffling 0.21/0.42 0.21/0.42 % (10672)Memory used [KB]: 1918 0.21/0.42 % (10672)Time elapsed: 0.013 s 0.21/0.42 % (10672)Instructions burned: 28 (million) 0.21/0.42 % (10672)------------------------------ 0.21/0.42 % (10672)------------------------------ 0.21/0.42 % (10676)Instruction limit reached! 0.21/0.42 % (10676)------------------------------ 0.21/0.42 % (10676)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.42 % (10676)Termination reason: Unknown 0.21/0.42 % (10676)Termination phase: shuffling 0.21/0.42 0.21/0.42 % (10676)Memory used [KB]: 1791 0.21/0.42 % (10676)Time elapsed: 0.010 s 0.21/0.42 % (10676)Instructions burned: 18 (million) 0.21/0.42 % (10676)------------------------------ 0.21/0.42 % (10676)------------------------------ 0.21/0.43 % (10677)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_10562 for (2399ds/3Mi) 0.21/0.43 % (10679)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_10562 for (2399ds/15Mi) 0.21/0.43 % (10678)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_10562 for (2399ds/37Mi) 0.21/0.43 % (10677)Instruction limit reached! 0.21/0.43 % (10677)------------------------------ 0.21/0.43 % (10677)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.43 % (10677)Termination reason: Unknown 0.21/0.43 % (10677)Termination phase: shuffling 0.21/0.43 0.21/0.43 % (10677)Memory used [KB]: 1535 0.21/0.43 % (10677)Time elapsed: 0.004 s 0.21/0.43 % (10677)Instructions burned: 4 (million) 0.21/0.43 % (10677)------------------------------ 0.21/0.43 % (10677)------------------------------ 0.21/0.43 % (10680)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_10562 for (2399ds/3Mi) 0.21/0.43 % (10679)Instruction limit reached! 0.21/0.43 % (10679)------------------------------ 0.21/0.43 % (10679)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.43 % (10679)Termination reason: Unknown 0.21/0.43 % (10679)Termination phase: shuffling 0.21/0.43 0.21/0.43 % (10679)Memory used [KB]: 1791 0.21/0.43 % (10679)Time elapsed: 0.008 s 0.21/0.43 % (10679)Instructions burned: 16 (million) 0.21/0.43 % (10679)------------------------------ 0.21/0.43 % (10679)------------------------------ 0.21/0.43 % (10680)Instruction limit reached! 0.21/0.43 % (10680)------------------------------ 0.21/0.43 % (10680)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.43 % (10680)Termination reason: Unknown 0.21/0.43 % (10680)Termination phase: shuffling 0.21/0.43 0.21/0.43 % (10680)Memory used [KB]: 1535 0.21/0.43 % (10680)Time elapsed: 0.003 s 0.21/0.43 % (10680)Instructions burned: 4 (million) 0.21/0.43 % (10680)------------------------------ 0.21/0.43 % (10680)------------------------------ 0.21/0.44 % (10681)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_10562 for (2399ds/1041Mi) 0.21/0.44 % (10682)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_10562 for (2399ds/7Mi) 0.21/0.45 % (10678)Instruction limit reached! 0.21/0.45 % (10678)------------------------------ 0.21/0.45 % (10678)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.45 % (10678)Termination reason: Unknown 0.21/0.45 % (10678)Termination phase: shuffling 0.21/0.45 0.21/0.45 % (10678)Memory used [KB]: 2174 0.21/0.45 % (10678)Time elapsed: 0.019 s 0.21/0.45 % (10678)Instructions burned: 39 (million) 0.21/0.45 % (10678)------------------------------ 0.21/0.45 % (10678)------------------------------ 0.21/0.45 % (10683)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_10562 for (2399ds/16Mi) 0.21/0.45 % (10682)Instruction limit reached! 0.21/0.45 % (10682)------------------------------ 0.21/0.45 % (10682)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.45 % (10682)Termination reason: Unknown 0.21/0.45 % (10682)Termination phase: shuffling 0.21/0.45 0.21/0.45 % (10682)Memory used [KB]: 1663 0.21/0.45 % (10682)Time elapsed: 0.005 s 0.21/0.45 % (10682)Instructions burned: 7 (million) 0.21/0.45 % (10682)------------------------------ 0.21/0.45 % (10682)------------------------------ 0.21/0.45 % (10684)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_10562 for (2399ds/3Mi) 0.21/0.45 % (10684)Instruction limit reached! 0.21/0.45 % (10684)------------------------------ 0.21/0.45 % (10684)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.45 % (10684)Termination reason: Unknown 0.21/0.45 % (10684)Termination phase: shuffling 0.21/0.45 0.21/0.45 % (10684)Memory used [KB]: 1535 0.21/0.45 % (10684)Time elapsed: 0.003 s 0.21/0.45 % (10684)Instructions burned: 3 (million) 0.21/0.45 % (10684)------------------------------ 0.21/0.45 % (10684)------------------------------ 0.21/0.45 % (10675)Refutation not found, incomplete strategy 0.21/0.45 % (10675)------------------------------ 0.21/0.45 % (10675)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.45 % (10675)Termination reason: Refutation not found, incomplete strategy 0.21/0.45 0.21/0.45 0.21/0.45 % (10675)Memory used [KB]: 6780 0.21/0.45 % (10675)Time elapsed: 0.043 s 0.21/0.45 % (10675)Instructions burned: 96 (million) 0.21/0.45 % (10675)------------------------------ 0.21/0.45 % (10675)------------------------------ 0.21/0.45 % (10683)Instruction limit reached! 0.21/0.45 % (10683)------------------------------ 0.21/0.45 % (10683)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.45 % (10683)Termination reason: Unknown 0.21/0.45 % (10683)Termination phase: shuffling 0.21/0.45 0.21/0.45 % (10683)Memory used [KB]: 1791 0.21/0.45 % (10683)Time elapsed: 0.009 s 0.21/0.45 % (10683)Instructions burned: 18 (million) 0.21/0.45 % (10683)------------------------------ 0.21/0.45 % (10683)------------------------------ 0.21/0.46 % (10685)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_10562 for (2399ds/3Mi) 0.21/0.46 % (10687)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_10562 for (2399ds/3Mi) 0.21/0.46 % (10686)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_10562 for (2399ds/7Mi) 0.21/0.46 % (10687)Instruction limit reached! 0.21/0.46 % (10687)------------------------------ 0.21/0.46 % (10687)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.46 % (10687)Termination reason: Unknown 0.21/0.46 % (10687)Termination phase: shuffling 0.21/0.46 0.21/0.46 % (10687)Memory used [KB]: 1535 0.21/0.46 % (10687)Time elapsed: 0.003 s 0.21/0.46 % (10687)Instructions burned: 3 (million) 0.21/0.46 % (10687)------------------------------ 0.21/0.46 % (10687)------------------------------ 0.21/0.46 % (10685)Instruction limit reached! 0.21/0.46 % (10685)------------------------------ 0.21/0.46 % (10685)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.46 % (10685)Termination reason: Unknown 0.21/0.46 % (10685)Termination phase: shuffling 0.21/0.46 0.21/0.46 % (10685)Memory used [KB]: 1535 0.21/0.46 % (10685)Time elapsed: 0.004 s 0.21/0.46 % (10685)Instructions burned: 4 (million) 0.21/0.46 % (10685)------------------------------ 0.21/0.46 % (10685)------------------------------ 0.21/0.47 % (10689)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_10562 for (2399ds/18Mi) 0.21/0.47 % (10686)Instruction limit reached! 0.21/0.47 % (10686)------------------------------ 0.21/0.47 % (10686)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.47 % (10686)Termination reason: Unknown 0.21/0.47 % (10686)Termination phase: shuffling 0.21/0.47 0.21/0.47 % (10686)Memory used [KB]: 1663 0.21/0.47 % (10686)Time elapsed: 0.006 s 0.21/0.47 % (10686)Instructions burned: 8 (million) 0.21/0.47 % (10686)------------------------------ 0.21/0.47 % (10686)------------------------------ 0.21/0.47 % (10688)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_10562 for (2399ds/4Mi) 0.21/0.47 % (10688)Instruction limit reached! 0.21/0.47 % (10688)------------------------------ 0.21/0.47 % (10688)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.47 % (10688)Termination reason: Unknown 0.21/0.47 % (10688)Termination phase: shuffling 0.21/0.47 0.21/0.47 % (10688)Memory used [KB]: 1535 0.21/0.47 % (10688)Time elapsed: 0.004 s 0.21/0.47 % (10688)Instructions burned: 5 (million) 0.21/0.47 % (10688)------------------------------ 0.21/0.47 % (10688)------------------------------ 0.21/0.47 % (10689)Instruction limit reached! 0.21/0.47 % (10689)------------------------------ 0.21/0.47 % (10689)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.47 % (10689)Termination reason: Unknown 0.21/0.47 % (10689)Termination phase: shuffling 0.21/0.47 0.21/0.47 % (10689)Memory used [KB]: 1791 0.21/0.47 % (10689)Time elapsed: 0.009 s 0.21/0.47 % (10689)Instructions burned: 18 (million) 0.21/0.47 % (10689)------------------------------ 0.21/0.47 % (10689)------------------------------ 0.21/0.48 % (10690)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_10562 for (2399ds/710Mi) 0.21/0.48 % (10691)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_10562 for (2399ds/6Mi) 0.21/0.48 % (10692)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_10562 for (2399ds/902Mi) 0.21/0.48 % (10670)Instruction limit reached! 0.21/0.48 % (10670)------------------------------ 0.21/0.48 % (10670)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.48 % (10670)Termination reason: Unknown 0.21/0.48 % (10670)Termination phase: Function definition elimination 0.21/0.48 0.21/0.48 % (10670)Memory used [KB]: 2430 0.21/0.48 % (10670)Time elapsed: 0.078 s 0.21/0.48 % (10670)Instructions burned: 184 (million) 0.21/0.48 % (10670)------------------------------ 0.21/0.48 % (10670)------------------------------ 0.21/0.48 % (10691)Instruction limit reached! 0.21/0.48 % (10691)------------------------------ 0.21/0.48 % (10691)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.48 % (10691)Termination reason: Unknown 0.21/0.48 % (10691)Termination phase: shuffling 0.21/0.48 % (10693)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_10562 for (2399ds/21Mi) 0.21/0.48 0.21/0.48 % (10691)Memory used [KB]: 1663 0.21/0.48 % (10691)Time elapsed: 0.005 s 0.21/0.48 % (10691)Instructions burned: 7 (million) 0.21/0.48 % (10691)------------------------------ 0.21/0.48 % (10691)------------------------------ 0.21/0.48 % (10694)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_10562 for (2399ds/5Mi) 0.21/0.49 % (10694)Instruction limit reached! 0.21/0.49 % (10694)------------------------------ 0.21/0.49 % (10694)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.49 % (10694)Termination reason: Unknown 0.21/0.49 % (10694)Termination phase: shuffling 0.21/0.49 0.21/0.49 % (10694)Memory used [KB]: 1535 0.21/0.49 % (10694)Time elapsed: 0.004 s 0.21/0.49 % (10694)Instructions burned: 5 (million) 0.21/0.49 % (10694)------------------------------ 0.21/0.49 % (10694)------------------------------ 0.21/0.49 % (10693)Instruction limit reached! 0.21/0.49 % (10693)------------------------------ 0.21/0.49 % (10693)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.49 % (10693)Termination reason: Unknown 0.21/0.49 % (10693)Termination phase: shuffling 0.21/0.49 0.21/0.49 % (10693)Memory used [KB]: 1791 0.21/0.49 % (10693)Time elapsed: 0.011 s 0.21/0.49 % (10693)Instructions burned: 22 (million) 0.21/0.49 % (10693)------------------------------ 0.21/0.49 % (10693)------------------------------ 0.21/0.50 % (10697)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_10562 for (2398ds/779Mi) 0.21/0.50 % (10695)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_10562 for (2398ds/6Mi) 0.21/0.50 % (10696)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_10562 for (2398ds/377Mi) 0.21/0.50 % (10695)Instruction limit reached! 0.21/0.50 % (10695)------------------------------ 0.21/0.50 % (10695)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.50 % (10695)Termination reason: Unknown 0.21/0.50 % (10695)Termination phase: shuffling 0.21/0.50 0.21/0.50 % (10695)Memory used [KB]: 1663 0.21/0.50 % (10695)Time elapsed: 0.005 s 0.21/0.50 % (10695)Instructions burned: 7 (million) 0.21/0.50 % (10695)------------------------------ 0.21/0.50 % (10695)------------------------------ 0.21/0.51 % (10698)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_10562 for (2398ds/19Mi) 0.21/0.52 % (10698)Instruction limit reached! 0.21/0.52 % (10698)------------------------------ 0.21/0.52 % (10698)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.02/0.52 % (10698)Termination reason: Unknown 1.02/0.52 % (10698)Termination phase: shuffling 1.02/0.52 1.02/0.52 % (10698)Memory used [KB]: 1791 1.02/0.52 % (10698)Time elapsed: 0.011 s 1.02/0.52 % (10698)Instructions burned: 20 (million) 1.02/0.52 % (10698)------------------------------ 1.02/0.52 % (10698)------------------------------ 1.02/0.52 % (10699)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_10562 for (2398ds/879Mi) 1.13/0.53 % (10700)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_10562 for (2398ds/17Mi) 1.13/0.54 % (10700)Instruction limit reached! 1.13/0.54 % (10700)------------------------------ 1.13/0.54 % (10700)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.13/0.54 % (10700)Termination reason: Unknown 1.13/0.54 % (10700)Termination phase: shuffling 1.13/0.54 1.13/0.54 % (10700)Memory used [KB]: 1791 1.13/0.54 % (10700)Time elapsed: 0.010 s 1.13/0.54 % (10700)Instructions burned: 17 (million) 1.13/0.54 % (10700)------------------------------ 1.13/0.54 % (10700)------------------------------ 1.13/0.56 % (10701)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_10562 for (2398ds/3Mi) 1.13/0.56 % (10701)Instruction limit reached! 1.13/0.56 % (10701)------------------------------ 1.13/0.56 % (10701)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.13/0.56 % (10701)Termination reason: Unknown 1.13/0.56 % (10701)Termination phase: shuffling 1.13/0.56 1.13/0.56 % (10701)Memory used [KB]: 1535 1.13/0.56 % (10701)Time elapsed: 0.004 s 1.13/0.56 % (10701)Instructions burned: 4 (million) 1.13/0.56 % (10701)------------------------------ 1.13/0.56 % (10701)------------------------------ 1.13/0.56 % (10692)Refutation not found, incomplete strategy 1.13/0.56 % (10692)------------------------------ 1.13/0.56 % (10692)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.13/0.56 % (10692)Termination reason: Refutation not found, incomplete strategy 1.13/0.56 1.13/0.56 1.13/0.56 % (10692)Memory used [KB]: 7164 1.13/0.56 % (10692)Time elapsed: 0.080 s 1.13/0.56 % (10692)Instructions burned: 181 (million) 1.13/0.56 % (10692)------------------------------ 1.13/0.56 % (10692)------------------------------ 1.13/0.57 % (10702)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_10562 for (2398ds/30Mi) 1.13/0.58 % (10703)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_10562 for (2397ds/127Mi) 1.13/0.58 % (10702)Instruction limit reached! 1.13/0.58 % (10702)------------------------------ 1.13/0.58 % (10702)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.13/0.58 % (10702)Termination reason: Unknown 1.13/0.58 % (10702)Termination phase: shuffling 1.13/0.58 1.13/0.58 % (10702)Memory used [KB]: 1918 1.13/0.58 % (10702)Time elapsed: 0.014 s 1.13/0.58 % (10702)Instructions burned: 31 (million) 1.13/0.58 % (10702)------------------------------ 1.13/0.58 % (10702)------------------------------ 1.13/0.59 % (10699)Refutation not found, incomplete strategy 1.13/0.59 % (10699)------------------------------ 1.13/0.59 % (10699)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.13/0.59 % (10699)Termination reason: Refutation not found, incomplete strategy 1.13/0.59 1.13/0.59 1.13/0.59 % (10699)Memory used [KB]: 7036 1.13/0.59 % (10699)Time elapsed: 0.094 s 1.13/0.59 % (10699)Instructions burned: 169 (million) 1.13/0.59 % (10699)------------------------------ 1.13/0.59 % (10699)------------------------------ 1.13/0.60 % (10704)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_10562 for (2397ds/100Mi) 1.13/0.60 % (10705)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_10562 for (2397ds/3Mi) 1.13/0.60 % (10705)Instruction limit reached! 1.13/0.60 % (10705)------------------------------ 1.13/0.60 % (10705)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.13/0.60 % (10705)Termination reason: Unknown 1.13/0.60 % (10705)Termination phase: shuffling 1.13/0.60 1.13/0.60 % (10705)Memory used [KB]: 1535 1.13/0.60 % (10705)Time elapsed: 0.003 s 1.13/0.60 % (10705)Instructions burned: 3 (million) 1.13/0.60 % (10705)------------------------------ 1.13/0.60 % (10705)------------------------------ 1.13/0.62 % (10706)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_10562 for (2397ds/20Mi) 1.69/0.63 % (10706)Instruction limit reached! 1.69/0.63 % (10706)------------------------------ 1.69/0.63 % (10706)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.69/0.63 % (10706)Termination reason: Unknown 1.69/0.63 % (10706)Termination phase: shuffling 1.69/0.63 1.69/0.63 % (10706)Memory used [KB]: 1791 1.69/0.63 % (10706)Time elapsed: 0.010 s 1.69/0.63 % (10706)Instructions burned: 21 (million) 1.69/0.63 % (10706)------------------------------ 1.69/0.63 % (10706)------------------------------ 1.69/0.63 % (10703)Instruction limit reached! 1.69/0.63 % (10703)------------------------------ 1.69/0.63 % (10703)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.69/0.63 % (10703)Termination reason: Unknown 1.69/0.63 % (10703)Termination phase: Function definition elimination 1.69/0.63 1.69/0.63 % (10703)Memory used [KB]: 2430 1.69/0.63 % (10703)Time elapsed: 0.056 s 1.69/0.63 % (10703)Instructions burned: 127 (million) 1.69/0.63 % (10703)------------------------------ 1.69/0.63 % (10703)------------------------------ 1.69/0.64 % (10704)Instruction limit reached! 1.69/0.64 % (10704)------------------------------ 1.69/0.64 % (10704)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.69/0.64 % (10704)Termination reason: Unknown 1.69/0.64 % (10704)Termination phase: Property scanning 1.69/0.64 1.69/0.64 % (10704)Memory used [KB]: 2430 1.69/0.64 % (10704)Time elapsed: 0.040 s 1.69/0.64 % (10704)Instructions burned: 101 (million) 1.69/0.64 % (10704)------------------------------ 1.69/0.64 % (10704)------------------------------ 1.69/0.64 % (10707)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_10562 for (2397ds/86Mi) 1.69/0.64 % (10708)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_10562 for (2397ds/107Mi) 1.69/0.65 % (10696)Instruction limit reached! 1.69/0.65 % (10696)------------------------------ 1.69/0.65 % (10696)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.69/0.65 % (10696)Termination reason: Unknown 1.69/0.65 % (10696)Termination phase: Function definition elimination 1.69/0.65 1.69/0.65 % (10696)Memory used [KB]: 2558 1.69/0.65 % (10696)Time elapsed: 0.150 s 1.69/0.65 % (10696)Instructions burned: 377 (million) 1.69/0.65 % (10696)------------------------------ 1.69/0.65 % (10696)------------------------------ 1.69/0.65 % (10709)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_10562 for (2397ds/39Mi) 1.69/0.66 % (10709)Instruction limit reached! 1.69/0.66 % (10709)------------------------------ 1.69/0.66 % (10709)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.69/0.66 % (10709)Termination reason: Unknown 1.69/0.66 % (10709)Termination phase: shuffling 1.69/0.66 1.69/0.66 % (10709)Memory used [KB]: 2174 1.69/0.66 % (10709)Time elapsed: 0.017 s 1.69/0.66 % (10709)Instructions burned: 39 (million) 1.69/0.66 % (10709)------------------------------ 1.69/0.66 % (10709)------------------------------ 1.69/0.67 % (10710)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_10562 for (2397ds/448Mi) 1.69/0.68 % (10707)Instruction limit reached! 1.69/0.68 % (10707)------------------------------ 1.69/0.68 % (10707)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.69/0.68 % (10707)Termination reason: Unknown 1.69/0.68 % (10707)Termination phase: Property scanning 1.69/0.68 1.69/0.68 % (10707)Memory used [KB]: 2430 1.69/0.68 % (10707)Time elapsed: 0.037 s 1.69/0.68 % (10707)Instructions burned: 87 (million) 1.69/0.68 % (10707)------------------------------ 1.69/0.68 % (10707)------------------------------ 1.69/0.68 % (10711)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_10562 for (2396ds/46Mi) 2.12/0.69 % (10712)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_10562 for (2396ds/98Mi) 2.12/0.69 % (10708)Instruction limit reached! 2.12/0.69 % (10708)------------------------------ 2.12/0.69 % (10708)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.12/0.69 % (10708)Termination reason: Unknown 2.12/0.69 % (10708)Termination phase: Property scanning 2.12/0.69 2.12/0.69 % (10708)Memory used [KB]: 2302 2.12/0.69 % (10708)Time elapsed: 0.048 s 2.12/0.69 % (10708)Instructions burned: 108 (million) 2.12/0.69 % (10708)------------------------------ 2.12/0.69 % (10708)------------------------------ 2.12/0.70 % (10711)Instruction limit reached! 2.12/0.70 % (10711)------------------------------ 2.12/0.70 % (10711)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.12/0.70 % (10711)Termination reason: Unknown 2.12/0.70 % (10711)Termination phase: shuffling 2.12/0.70 2.12/0.70 % (10711)Memory used [KB]: 2174 2.12/0.70 % (10711)Time elapsed: 0.020 s 2.12/0.70 % (10711)Instructions burned: 46 (million) 2.12/0.70 % (10711)------------------------------ 2.12/0.70 % (10711)------------------------------ 2.12/0.71 % (10713)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_10562 for (2396ds/507Mi) 2.12/0.71 % (10714)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_10562 for (2396ds/149Mi) 2.12/0.73 % (10712)Instruction limit reached! 2.12/0.73 % (10712)------------------------------ 2.12/0.73 % (10712)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.12/0.73 % (10712)Termination reason: Unknown 2.12/0.73 % (10712)Termination phase: Property scanning 2.12/0.73 2.12/0.73 % (10712)Memory used [KB]: 2430 2.12/0.73 % (10712)Time elapsed: 0.040 s 2.12/0.73 % (10712)Instructions burned: 99 (million) 2.12/0.73 % (10712)------------------------------ 2.12/0.73 % (10712)------------------------------ 2.12/0.74 % (10715)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on E---3.1_10562 for (2396ds/39Mi) 2.12/0.76 % (10715)Instruction limit reached! 2.12/0.76 % (10715)------------------------------ 2.12/0.76 % (10715)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.12/0.76 % (10715)Termination reason: Unknown 2.12/0.76 % (10715)Termination phase: shuffling 2.12/0.76 2.12/0.76 % (10715)Memory used [KB]: 2174 2.12/0.76 % (10715)Time elapsed: 0.018 s 2.12/0.76 % (10715)Instructions burned: 40 (million) 2.12/0.76 % (10715)------------------------------ 2.12/0.76 % (10715)------------------------------ 2.53/0.76 % (10714)Instruction limit reached! 2.53/0.76 % (10714)------------------------------ 2.53/0.76 % (10714)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.53/0.76 % (10714)Termination reason: Unknown 2.53/0.76 % (10714)Termination phase: Function definition elimination 2.53/0.76 2.53/0.76 % (10714)Memory used [KB]: 2430 2.53/0.76 % (10714)Time elapsed: 0.056 s 2.53/0.76 % (10714)Instructions burned: 150 (million) 2.53/0.76 % (10714)------------------------------ 2.53/0.76 % (10714)------------------------------ 2.60/0.77 % (10716)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_10562 for (2396ds/6Mi) 2.60/0.78 % (10716)Instruction limit reached! 2.60/0.78 % (10716)------------------------------ 2.60/0.78 % (10716)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.60/0.78 % (10716)Termination reason: Unknown 2.60/0.78 % (10716)Termination phase: shuffling 2.60/0.78 2.60/0.78 % (10716)Memory used [KB]: 1663 2.60/0.78 % (10716)Time elapsed: 0.005 s 2.60/0.78 % (10716)Instructions burned: 6 (million) 2.60/0.78 % (10716)------------------------------ 2.60/0.78 % (10716)------------------------------ 2.60/0.78 % (10717)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_10562 for (2396ds/1087Mi) 2.60/0.79 % (10718)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on E---3.1_10562 for (2395ds/47Mi) 2.60/0.79 % (10690)Refutation not found, non-redundant clauses discarded% (10690)------------------------------ 2.60/0.79 % (10690)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.60/0.79 % (10690)Termination reason: Refutation not found, non-redundant clauses discarded 2.60/0.79 2.60/0.79 % (10690)Memory used [KB]: 7547 2.60/0.79 % (10690)Time elapsed: 0.317 s 2.60/0.79 % (10690)Instructions burned: 701 (million) 2.60/0.79 % (10690)------------------------------ 2.60/0.79 % (10690)------------------------------ 2.60/0.80 % (10697)Instruction limit reached! 2.60/0.80 % (10697)------------------------------ 2.60/0.80 % (10697)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.60/0.80 % (10697)Termination reason: Unknown 2.60/0.80 % (10697)Termination phase: Saturation 2.60/0.80 2.60/0.80 % (10697)Memory used [KB]: 9466 2.60/0.80 % (10697)Time elapsed: 0.321 s 2.60/0.80 % (10697)Instructions burned: 780 (million) 2.60/0.80 % (10697)------------------------------ 2.60/0.80 % (10697)------------------------------ 2.60/0.80 % (10710)First to succeed. 2.73/0.80 % (10710)Refutation found. Thanks to Tanya! 2.73/0.80 % SZS status Theorem for E---3.1_10562 2.73/0.80 % SZS output start Proof for E---3.1_10562 2.73/0.80 thf(func_def_0, type, is_of: $i > ($i > $o) > $o). 2.73/0.80 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o). 2.73/0.80 thf(func_def_3, type, eps: ($i > $o) > $i). 2.73/0.80 thf(func_def_4, type, in: $i > $i > $o). 2.73/0.80 thf(func_def_5, type, d_Subq: $i > $i > $o). 2.73/0.80 thf(func_def_7, type, union: $i > $i). 2.73/0.80 thf(func_def_8, type, power: $i > $i). 2.73/0.80 thf(func_def_9, type, repl: $i > ($i > $i) > $i). 2.73/0.80 thf(func_def_10, type, d_Union_closed: $i > $o). 2.73/0.80 thf(func_def_11, type, d_Power_closed: $i > $o). 2.73/0.80 thf(func_def_12, type, d_Repl_closed: $i > $o). 2.73/0.80 thf(func_def_13, type, d_ZF_closed: $i > $o). 2.73/0.80 thf(func_def_14, type, univof: $i > $i). 2.73/0.80 thf(func_def_15, type, if: $o > $i > $i > $i). 2.73/0.80 thf(func_def_16, type, nIn: $i > $i > $o). 2.73/0.80 thf(func_def_17, type, d_UPair: $i > $i > $i). 2.73/0.80 thf(func_def_18, type, d_Sing: $i > $i). 2.73/0.80 thf(func_def_19, type, binunion: $i > $i > $i). 2.73/0.80 thf(func_def_20, type, famunion: $i > ($i > $i) > $i). 2.73/0.80 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i). 2.73/0.80 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i). 2.73/0.80 thf(func_def_23, type, setminus: $i > $i > $i). 2.73/0.80 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o). 2.73/0.80 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i). 2.73/0.80 thf(func_def_26, type, ordsucc: $i > $i). 2.73/0.80 thf(func_def_27, type, nat_p: $i > $o). 2.73/0.80 thf(func_def_29, type, d_Inj1: $i > $i). 2.73/0.80 thf(func_def_30, type, d_Inj0: $i > $i). 2.73/0.80 thf(func_def_31, type, d_Unj: $i > $i). 2.73/0.80 thf(func_def_32, type, pair: $i > $i > $i). 2.73/0.80 thf(func_def_33, type, proj0: $i > $i). 2.73/0.80 thf(func_def_34, type, proj1: $i > $i). 2.73/0.80 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i). 2.73/0.80 thf(func_def_36, type, setprod: $i > $i > $i). 2.73/0.80 thf(func_def_37, type, ap: $i > $i > $i). 2.73/0.80 thf(func_def_38, type, pair_p: $i > $o). 2.73/0.80 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i). 2.73/0.80 thf(func_def_40, type, imp: $o > $o > $o). 2.73/0.80 thf(func_def_41, type, d_not: $o > $o). 2.73/0.80 thf(func_def_42, type, wel: $o > $o). 2.73/0.80 thf(func_def_44, type, l_ec: $o > $o > $o). 2.73/0.80 thf(func_def_45, type, d_and: $o > $o > $o). 2.73/0.80 thf(func_def_46, type, l_or: $o > $o > $o). 2.73/0.80 thf(func_def_47, type, orec: $o > $o > $o). 2.73/0.80 thf(func_def_48, type, l_iff: $o > $o > $o). 2.73/0.80 thf(func_def_49, type, all: $i > ($i > $o) > $o). 2.73/0.80 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o). 2.73/0.80 thf(func_def_51, type, l_some: $i > ($i > $o) > $o). 2.73/0.80 thf(func_def_52, type, or3: $o > $o > $o > $o). 2.73/0.80 thf(func_def_53, type, and3: $o > $o > $o > $o). 2.73/0.80 thf(func_def_54, type, ec3: $o > $o > $o > $o). 2.73/0.80 thf(func_def_55, type, orec3: $o > $o > $o > $o). 2.73/0.80 thf(func_def_56, type, e_is: $i > $i > $i > $o). 2.73/0.80 thf(func_def_57, type, amone: $i > ($i > $o) > $o). 2.73/0.80 thf(func_def_58, type, one: $i > ($i > $o) > $o). 2.73/0.80 thf(func_def_59, type, ind: $i > ($i > $o) > $i). 2.73/0.80 thf(func_def_60, type, injective: $i > $i > $i > $o). 2.73/0.80 thf(func_def_61, type, image: $i > $i > $i > $i > $o). 2.73/0.80 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i). 2.73/0.80 thf(func_def_63, type, soft: $i > $i > $i > $i > $i). 2.73/0.80 thf(func_def_64, type, inverse: $i > $i > $i > $i). 2.73/0.80 thf(func_def_65, type, surjective: $i > $i > $i > $o). 2.73/0.80 thf(func_def_66, type, bijective: $i > $i > $i > $o). 2.73/0.80 thf(func_def_67, type, invf: $i > $i > $i > $i). 2.73/0.80 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i). 2.73/0.80 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i). 2.73/0.80 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i). 2.73/0.80 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i). 2.73/0.80 thf(func_def_72, type, first: $i > $i > $i > $i). 2.73/0.80 thf(func_def_73, type, second: $i > $i > $i > $i). 2.73/0.80 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o). 2.73/0.80 thf(func_def_75, type, ite: $o > $i > $i > $i > $i). 2.73/0.80 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i). 2.73/0.80 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i). 2.73/0.80 thf(func_def_78, type, wissel: $i > $i > $i > $i). 2.73/0.80 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i). 2.73/0.80 thf(func_def_80, type, r_ec: $o > $o > $o). 2.73/0.80 thf(func_def_81, type, esti: $i > $i > $i > $o). 2.73/0.80 thf(func_def_82, type, empty: $i > $i > $o). 2.73/0.80 thf(func_def_83, type, nonempty: $i > $i > $o). 2.73/0.80 thf(func_def_84, type, incl: $i > $i > $i > $o). 2.73/0.80 thf(func_def_85, type, st_disj: $i > $i > $i > $o). 2.73/0.80 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o). 2.73/0.80 thf(func_def_87, type, unmore: $i > $i > $i > $i). 2.73/0.80 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i). 2.73/0.80 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o). 2.73/0.80 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o). 2.73/0.80 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i). 2.73/0.80 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i). 2.73/0.80 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i). 2.73/0.80 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i). 2.73/0.80 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o). 2.73/0.80 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o). 2.73/0.80 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o). 2.73/0.80 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i). 2.73/0.80 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o). 2.73/0.80 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i). 2.73/0.80 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i). 2.73/0.80 thf(func_def_103, type, n_is: $i > $i > $o). 2.73/0.80 thf(func_def_104, type, nis: $i > $i > $o). 2.73/0.80 thf(func_def_105, type, n_in: $i > $i > $o). 2.73/0.80 thf(func_def_106, type, n_some: ($i > $o) > $o). 2.73/0.80 thf(func_def_107, type, n_all: ($i > $o) > $o). 2.73/0.80 thf(func_def_108, type, n_one: ($i > $o) > $o). 2.73/0.80 thf(func_def_110, type, cond1: $i > $o). 2.73/0.80 thf(func_def_111, type, cond2: $i > $o). 2.73/0.80 thf(func_def_112, type, i1_s: ($i > $o) > $i). 2.73/0.80 thf(func_def_113, type, d_22_prop1: $i > $o). 2.73/0.80 thf(func_def_114, type, d_23_prop1: $i > $o). 2.73/0.80 thf(func_def_115, type, d_24_prop1: $i > $o). 2.73/0.80 thf(func_def_116, type, d_24_prop2: $i > $i > $o). 2.73/0.80 thf(func_def_117, type, prop3: $i > $i > $i > $o). 2.73/0.80 thf(func_def_118, type, prop4: $i > $o). 2.73/0.80 thf(func_def_119, type, d_24_g: $i > $i). 2.73/0.80 thf(func_def_120, type, plus: $i > $i). 2.73/0.80 thf(func_def_121, type, n_pl: $i > $i > $i). 2.73/0.80 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o). 2.73/0.80 thf(func_def_123, type, d_26_prop1: $i > $i > $o). 2.73/0.80 thf(func_def_124, type, d_27_prop1: $i > $i > $o). 2.73/0.80 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o). 2.73/0.80 thf(func_def_126, type, diffprop: $i > $i > $i > $o). 2.73/0.80 thf(func_def_127, type, d_29_ii: $i > $i > $o). 2.73/0.80 thf(func_def_128, type, iii: $i > $i > $o). 2.73/0.80 thf(func_def_129, type, d_29_prop1: $i > $i > $o). 2.73/0.80 thf(func_def_130, type, moreis: $i > $i > $o). 2.73/0.80 thf(func_def_131, type, lessis: $i > $i > $o). 2.73/0.80 thf(func_def_132, type, lbprop: ($i > $o) > $i > $i > $o). 2.73/0.80 thf(func_def_133, type, n_lb: ($i > $o) > $i > $o). 2.73/0.80 thf(func_def_134, type, min: ($i > $o) > $i > $o). 2.73/0.80 thf(func_def_135, type, d_428_prop1: $i > $i > $o). 2.73/0.80 thf(func_def_136, type, d_428_prop2: $i > $i > $o). 2.73/0.80 thf(func_def_137, type, d_428_prop4: $i > $o). 2.73/0.80 thf(func_def_139, type, d_428_g: $i > $i). 2.73/0.80 thf(func_def_140, type, times: $i > $i). 2.73/0.80 thf(func_def_141, type, n_ts: $i > $i > $i). 2.73/0.80 thf(func_def_142, type, d_429_prop1: $i > $i > $o). 2.73/0.80 thf(func_def_143, type, d_430_prop1: $i > $i > $i > $o). 2.73/0.80 thf(func_def_144, type, d_431_prop1: $i > $i > $i > $o). 2.73/0.80 thf(func_def_145, type, n_mn: $i > $i > $i). 2.73/0.80 thf(func_def_146, type, d_1to: $i > $i). 2.73/0.80 thf(func_def_147, type, outn: $i > $i > $i). 2.73/0.80 thf(func_def_148, type, inn: $i > $i > $i). 2.73/0.80 thf(func_def_150, type, singlet_u0: $i > $i). 2.73/0.80 thf(func_def_154, type, pair_u0: $i > $i). 2.73/0.80 thf(func_def_155, type, pair1type: $i > $i). 2.73/0.80 thf(func_def_156, type, pair1: $i > $i > $i > $i). 2.73/0.80 thf(func_def_157, type, first1: $i > $i > $i). 2.73/0.80 thf(func_def_158, type, second1: $i > $i > $i). 2.73/0.80 thf(func_def_159, type, pair_q0: $i > $i > $i). 2.73/0.80 thf(func_def_160, type, d_1out: $i > $i). 2.73/0.80 thf(func_def_161, type, xout: $i > $i). 2.73/0.80 thf(func_def_162, type, left1to: $i > $i > $i > $i). 2.73/0.80 thf(func_def_163, type, right1to: $i > $i > $i > $i). 2.73/0.80 thf(func_def_164, type, left: $i > $i > $i > $i > $i). 2.73/0.80 thf(func_def_165, type, right: $i > $i > $i > $i > $i). 2.73/0.80 thf(func_def_166, type, left_f1: $i > $i > $i > $i > $i). 2.73/0.80 thf(func_def_167, type, left_f2: $i > $i > $i > $i > $i). 2.73/0.80 thf(func_def_169, type, n_fr: $i > $i > $i). 2.73/0.80 thf(func_def_170, type, num: $i > $i). 2.73/0.80 thf(func_def_171, type, den: $i > $i). 2.73/0.80 thf(func_def_172, type, n_eq: $i > $i > $o). 2.73/0.80 thf(func_def_173, type, moref: $i > $i > $o). 2.73/0.80 thf(func_def_174, type, lessf: $i > $i > $o). 2.73/0.80 thf(func_def_175, type, moreq: $i > $i > $o). 2.73/0.80 thf(func_def_176, type, lesseq: $i > $i > $o). 2.73/0.80 thf(func_def_177, type, n_pf: $i > $i > $i). 2.73/0.80 thf(func_def_198, type, sK1: ($i > $o) > $i). 2.73/0.80 thf(func_def_199, type, sK2: ($i > $i) > ($i > $i) > $i > $i). 2.73/0.80 thf(func_def_200, type, ph3: !>[X0: $tType]:(X0)). 2.73/0.80 thf(f1704,plain,( 2.73/0.80 $false), 2.73/0.80 inference(trivial_inequality_removal,[status(thm)],[f1703])). 2.73/0.80 thf(f1703,plain,( 2.73/0.80 ($false = $true)), 2.73/0.80 inference(forward_demodulation,[status(thm)],[f1441,f1653])). 2.73/0.80 thf(f1653,plain,( 2.73/0.80 ($false = (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: (l_some @ nat @ (^[Y2 : $i]: ((n_ts @ (num @ (n_fr @ (n_pl @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0))) @ (n_ts @ (den @ Y0) @ (den @ Y1)))) @ (den @ Y0)) = (n_pl @ (n_ts @ (num @ Y0) @ (den @ (n_fr @ (n_pl @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0))) @ (n_ts @ (den @ Y0) @ (den @ Y1))))) @ Y2)))))))))), 2.73/0.80 inference(not_proxy_clausification,[status(thm)],[f1542])). 2.73/0.80 thf(f1542,plain,( 2.73/0.80 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: (l_some @ nat @ (^[Y2 : $i]: ((n_ts @ (num @ (n_fr @ (n_pl @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0))) @ (n_ts @ (den @ Y0) @ (den @ Y1)))) @ (den @ Y0)) = (n_pl @ (n_ts @ (num @ Y0) @ (den @ (n_fr @ (n_pl @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0))) @ (n_ts @ (den @ Y0) @ (den @ Y1))))) @ Y2))))))))) = $true)), 2.73/0.80 inference(beta_eta_normalization,[status(thm)],[f1360])). 2.73/0.80 thf(f1360,plain,( 2.73/0.80 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y5 @ Y4))))) @ (n_ts @ (num @ Y2) @ (den @ Y3)) @ (n_ts @ (num @ Y3) @ (den @ Y2)))))) @ Y0 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (n_fr @ (n_pl @ (n_ts @ (num @ Y2) @ (den @ Y3)) @ (n_ts @ (num @ Y3) @ (den @ Y2))) @ (n_ts @ (den @ Y2) @ (den @ Y3)))))) @ Y0 @ Y1))))))) = $true)), 2.73/0.80 inference(definition_unfolding,[status(thm)],[f1166,f1270,f1069])). 2.73/0.80 thf(f1069,plain,( 2.73/0.80 (n_pf = (^[Y0 : $i]: ((^[Y1 : $i]: (n_fr @ (n_pl @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0))) @ (n_ts @ (den @ Y0) @ (den @ Y1)))))))), 2.73/0.80 inference(cnf_transformation,[status(thm)],[f820])). 2.73/0.80 thf(f820,plain,( 2.73/0.80 (n_pf = (^[Y0 : $i]: ((^[Y1 : $i]: (n_fr @ (n_pl @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0))) @ (n_ts @ (den @ Y0) @ (den @ Y1)))))))), 2.73/0.80 inference(fool_elimination,[status(thm)],[f236])). 2.73/0.80 thf(f236,axiom,( 2.73/0.80 ((^[X0 : $i, X1 : $i] : (n_fr @ (n_pl @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0))) @ (n_ts @ (den @ X0) @ (den @ X1)))) = n_pf)), 2.73/0.80 file('/export/starexec/sandbox/tmp/tmp.sw92Spy0Tv/E---3.1_10562.p',def_n_pf)). 2.73/0.80 thf(f1270,plain,( 2.73/0.80 (lessf = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y3 @ Y2))))) @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 2.73/0.80 inference(definition_unfolding,[status(thm)],[f1208,f1262])). 2.73/0.80 thf(f1262,plain,( 2.73/0.80 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ nat @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ Y1 @ Y0))))))), 2.73/0.80 inference(definition_unfolding,[status(thm)],[f1237,f1223,f1260])). 2.73/0.80 thf(f1260,plain,( 2.73/0.80 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ Y0 @ (n_pl @ Y1 @ Y2))))))))), 2.73/0.80 inference(definition_unfolding,[status(thm)],[f1211,f1259])). 2.73/0.80 thf(f1259,plain,( 2.73/0.80 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))), 2.73/0.80 inference(definition_unfolding,[status(thm)],[f1151,f1209])). 2.73/0.80 thf(f1209,plain,( 2.73/0.80 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 2.73/0.80 inference(cnf_transformation,[status(thm)],[f510])). 2.73/0.80 thf(f510,plain,( 2.73/0.80 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 2.73/0.80 inference(fool_elimination,[status(thm)],[f509])). 2.73/0.80 thf(f509,plain,( 2.73/0.80 (e_is = (^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))))), 2.73/0.80 inference(rectify,[status(thm)],[f49])). 2.73/0.80 thf(f49,axiom,( 2.73/0.80 (e_is = (^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))))), 2.73/0.80 file('/export/starexec/sandbox/tmp/tmp.sw92Spy0Tv/E---3.1_10562.p',def_e_is)). 2.73/0.80 thf(f1151,plain,( 2.73/0.80 (n_is = (e_is @ nat))), 2.73/0.80 inference(cnf_transformation,[status(thm)],[f863])). 2.73/0.80 thf(f863,plain,( 2.73/0.80 (n_is = (e_is @ nat))), 2.73/0.80 inference(fool_elimination,[status(thm)],[f96])). 2.73/0.80 thf(f96,axiom,( 2.73/0.80 (n_is = (e_is @ nat))), 2.73/0.80 file('/export/starexec/sandbox/tmp/tmp.sw92Spy0Tv/E---3.1_10562.p',def_n_is)). 2.73/0.81 thf(f1211,plain,( 2.73/0.81 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))), 2.73/0.81 inference(cnf_transformation,[status(thm)],[f647])). 2.73/0.81 thf(f647,plain,( 2.73/0.81 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))), 2.73/0.81 inference(fool_elimination,[status(thm)],[f185])). 2.73/0.81 thf(f185,axiom,( 2.73/0.81 ((^[X0 : $i, X1 : $i, X2 : $i] : (n_is @ X0 @ (n_pl @ X1 @ X2))) = diffprop)), 2.73/0.81 file('/export/starexec/sandbox/tmp/tmp.sw92Spy0Tv/E---3.1_10562.p',def_diffprop)). 2.73/0.81 thf(f1223,plain,( 2.73/0.81 (n_some = (l_some @ nat))), 2.73/0.81 inference(cnf_transformation,[status(thm)],[f601])). 2.73/0.81 thf(f601,plain,( 2.73/0.81 (n_some = (l_some @ nat))), 2.73/0.81 inference(fool_elimination,[status(thm)],[f99])). 2.73/0.81 thf(f99,axiom,( 2.73/0.81 (n_some = (l_some @ nat))), 2.73/0.81 file('/export/starexec/sandbox/tmp/tmp.sw92Spy0Tv/E---3.1_10562.p',def_n_some)). 2.73/0.81 thf(f1237,plain,( 2.73/0.81 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))), 2.73/0.81 inference(cnf_transformation,[status(thm)],[f883])). 2.73/0.81 thf(f883,plain,( 2.73/0.81 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))), 2.73/0.81 inference(fool_elimination,[status(thm)],[f187])). 2.73/0.81 thf(f187,axiom,( 2.73/0.81 ((^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X1 @ X0))) = iii)), 2.73/0.81 file('/export/starexec/sandbox/tmp/tmp.sw92Spy0Tv/E---3.1_10562.p',def_iii)). 2.73/0.81 thf(f1208,plain,( 2.73/0.81 (lessf = (^[Y0 : $i]: ((^[Y1 : $i]: (iii @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 2.73/0.81 inference(cnf_transformation,[status(thm)],[f440])). 2.73/0.81 thf(f440,plain,( 2.73/0.81 (lessf = (^[Y0 : $i]: ((^[Y1 : $i]: (iii @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 2.73/0.81 inference(fool_elimination,[status(thm)],[f233])). 2.73/0.81 thf(f233,axiom,( 2.73/0.81 (lessf = (^[X0 : $i, X1 : $i] : (iii @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0)))))), 2.73/0.81 file('/export/starexec/sandbox/tmp/tmp.sw92Spy0Tv/E---3.1_10562.p',def_lessf)). 2.73/0.81 thf(f1166,plain,( 2.73/0.81 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: (lessf @ Y0 @ (n_pf @ Y0 @ Y1))))))) = $true)), 2.73/0.81 inference(cnf_transformation,[status(thm)],[f517])). 2.73/0.81 thf(f517,plain,( 2.73/0.81 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: (lessf @ Y0 @ (n_pf @ Y0 @ Y1))))))) = $true)), 2.73/0.81 inference(fool_elimination,[status(thm)],[f516])). 2.73/0.81 thf(f516,plain,( 2.73/0.81 ~(all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ frac)) @ (^[X3 : $i] : (lessf @ X1 @ (n_pf @ X1 @ X3))))))), 2.73/0.81 inference(rectify,[status(thm)],[f242])). 2.73/0.81 thf(f242,negated_conjecture,( 2.73/0.81 ~(all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ frac)) @ (^[X1 : $i] : (lessf @ X0 @ (n_pf @ X0 @ X1))))))), 2.73/0.81 inference(negated_conjecture,[status(cth)],[f241])). 2.73/0.81 thf(f241,conjecture,( 2.73/0.81 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ frac)) @ (^[X1 : $i] : (lessf @ X0 @ (n_pf @ X0 @ X1))))))), 2.73/0.81 file('/export/starexec/sandbox/tmp/tmp.sw92Spy0Tv/E---3.1_10562.p',satz60a)). 2.73/0.81 thf(f1441,plain,( 2.73/0.81 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: (l_some @ nat @ (^[Y2 : $i]: ((n_ts @ (num @ (n_fr @ (n_pl @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0))) @ (n_ts @ (den @ Y0) @ (den @ Y1)))) @ (den @ Y0)) = (n_pl @ (n_ts @ (num @ Y0) @ (den @ (n_fr @ (n_pl @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0))) @ (n_ts @ (den @ Y0) @ (den @ Y1))))) @ Y2)))))))) = $true)), 2.73/0.81 inference(beta_eta_normalization,[status(thm)],[f1384])). 2.73/0.81 thf(f1384,plain,( 2.73/0.81 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y4 @ Y5))))) @ (n_ts @ (num @ Y2) @ (den @ Y3)) @ (n_ts @ (num @ Y3) @ (den @ Y2)))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (n_fr @ (n_pl @ (n_ts @ (num @ Y2) @ (den @ Y3)) @ (n_ts @ (num @ Y3) @ (den @ Y2))) @ (n_ts @ (den @ Y2) @ (den @ Y3)))))) @ Y0 @ Y1) @ Y0))))) = $true)), 2.73/0.81 inference(definition_unfolding,[status(thm)],[f1192,f1269,f1069])). 2.73/0.81 thf(f1269,plain,( 2.73/0.81 (moref = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 2.73/0.81 inference(definition_unfolding,[status(thm)],[f1090,f1261])). 2.73/0.81 thf(f1261,plain,( 2.73/0.81 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ nat @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ Y0 @ Y1))))))), 2.73/0.81 inference(definition_unfolding,[status(thm)],[f1070,f1223,f1260])). 2.73/0.81 thf(f1070,plain,( 2.73/0.81 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))), 2.73/0.81 inference(cnf_transformation,[status(thm)],[f949])). 2.73/0.81 thf(f949,plain,( 2.73/0.81 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))), 2.73/0.81 inference(fool_elimination,[status(thm)],[f186])). 2.73/0.81 thf(f186,axiom,( 2.73/0.81 ((^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X0 @ X1))) = d_29_ii)), 2.73/0.81 file('/export/starexec/sandbox/tmp/tmp.sw92Spy0Tv/E---3.1_10562.p',def_d_29_ii)). 2.73/0.81 thf(f1090,plain,( 2.73/0.81 (moref = (^[Y0 : $i]: ((^[Y1 : $i]: (d_29_ii @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 2.73/0.81 inference(cnf_transformation,[status(thm)],[f1042])). 2.73/0.81 thf(f1042,plain,( 2.73/0.81 (moref = (^[Y0 : $i]: ((^[Y1 : $i]: (d_29_ii @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 2.73/0.81 inference(fool_elimination,[status(thm)],[f232])). 2.73/0.81 thf(f232,axiom,( 2.73/0.81 (moref = (^[X0 : $i, X1 : $i] : (d_29_ii @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0)))))), 2.73/0.81 file('/export/starexec/sandbox/tmp/tmp.sw92Spy0Tv/E---3.1_10562.p',def_moref)). 2.73/0.81 thf(f1192,plain,( 2.73/0.81 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: (moref @ (n_pf @ Y0 @ Y1) @ Y0))))) = $true)), 2.73/0.81 inference(cnf_transformation,[status(thm)],[f422])). 2.73/0.81 thf(f422,plain,( 2.73/0.81 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: (moref @ (n_pf @ Y0 @ Y1) @ Y0))))) = $true)), 2.73/0.81 inference(fool_elimination,[status(thm)],[f421])). 2.73/0.81 thf(f421,plain,( 2.73/0.81 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ frac)) @ (^[X3 : $i] : (moref @ (n_pf @ X1 @ X3) @ X1)))))), 2.73/0.81 inference(rectify,[status(thm)],[f310])). 2.73/0.81 thf(f310,axiom,( 2.73/0.81 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ frac)) @ (^[X1 : $i] : (moref @ (n_pf @ X0 @ X1) @ X0)))))), 2.73/0.81 file('/export/starexec/sandbox/tmp/tmp.sw92Spy0Tv/E---3.1_10562.p',satz60)). 2.73/0.81 % SZS output end Proof for E---3.1_10562 2.73/0.81 % (10710)------------------------------ 2.73/0.81 % (10710)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.73/0.81 % (10710)Termination reason: Refutation 2.73/0.81 2.73/0.81 % (10710)Memory used [KB]: 7547 2.73/0.81 % (10710)Time elapsed: 0.139 s 2.73/0.81 % (10710)Instructions burned: 307 (million) 2.73/0.81 % (10710)------------------------------ 2.73/0.81 % (10710)------------------------------ 2.73/0.81 % (10669)Success in time 0.436 s 2.73/0.81 EOF