0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_vampire %s %d THM 0.14/0.34 % Computer : n023.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 1920 0.14/0.34 % WCLimit : 240 0.14/0.34 % DateTime : Wed Jul 30 02:38:19 EDT 2025 0.14/0.34 % CPUTime : 0.14/0.36 This is a THF_ problem 0.14/0.36 Running higher-order theorem proving 0.22/0.37 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.b3fK9UzcoH/E---3.1_6089.p -m 16384 -t 240 0.22/0.38 % (6322)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_6089 for (2399ds/2Mi) 0.22/0.38 % (6322)Instruction limit reached! 0.22/0.38 % (6322)------------------------------ 0.22/0.38 % (6322)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.38 % (6322)Termination reason: Unknown 0.22/0.38 % (6322)Termination phase: Function definition elimination 0.22/0.38 0.22/0.38 % (6322)Memory used [KB]: 1023 0.22/0.38 % (6322)Time elapsed: 0.003 s 0.22/0.38 % (6322)Instructions burned: 3 (million) 0.22/0.38 % (6322)------------------------------ 0.22/0.38 % (6322)------------------------------ 0.22/0.39 % (6318)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_6089 for (2399ds/183Mi) 0.22/0.39 % (6320)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_6089 for (2399ds/27Mi) 0.22/0.39 % (6321)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_6089 for (2399ds/2Mi) 0.22/0.39 % (6323)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_6089 for (2399ds/275Mi) 0.22/0.39 % (6324)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_6089 for (2399ds/18Mi) 0.22/0.39 % (6319)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_6089 for (2399ds/4Mi) 0.22/0.39 % (6321)Instruction limit reached! 0.22/0.39 % (6321)------------------------------ 0.22/0.39 % (6321)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.39 % (6321)Termination reason: Unknown 0.22/0.39 % (6321)Termination phase: Preprocessing 1 0.22/0.39 0.22/0.39 % (6321)Memory used [KB]: 1023 0.22/0.39 % (6321)Time elapsed: 0.003 s 0.22/0.39 % (6321)Instructions burned: 2 (million) 0.22/0.39 % (6321)------------------------------ 0.22/0.39 % (6321)------------------------------ 0.22/0.39 % (6323)Refutation not found, incomplete strategy 0.22/0.39 % (6323)------------------------------ 0.22/0.39 % (6323)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.39 % (6323)Termination reason: Refutation not found, incomplete strategy 0.22/0.39 0.22/0.39 0.22/0.39 % (6323)Memory used [KB]: 5500 0.22/0.39 % (6323)Time elapsed: 0.003 s 0.22/0.39 % (6323)Instructions burned: 2 (million) 0.22/0.39 % (6323)------------------------------ 0.22/0.39 % (6323)------------------------------ 0.22/0.39 % (6319)Instruction limit reached! 0.22/0.39 % (6319)------------------------------ 0.22/0.39 % (6319)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.39 % (6319)Termination reason: Unknown 0.22/0.39 % (6319)Termination phase: Property scanning 0.22/0.39 0.22/0.39 % (6319)Memory used [KB]: 1023 0.22/0.39 % (6319)Time elapsed: 0.004 s 0.22/0.39 % (6319)Instructions burned: 4 (million) 0.22/0.39 % (6319)------------------------------ 0.22/0.39 % (6319)------------------------------ 0.22/0.39 % (6325)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_6089 for (2399ds/3Mi) 0.22/0.39 % (6325)Instruction limit reached! 0.22/0.39 % (6325)------------------------------ 0.22/0.39 % (6325)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.39 % (6325)Termination reason: Unknown 0.22/0.39 % (6325)Termination phase: Saturation 0.22/0.39 0.22/0.39 % (6325)Memory used [KB]: 5500 0.22/0.39 % (6320)Refutation not found, incomplete strategy 0.22/0.39 % (6320)------------------------------ 0.22/0.39 % (6320)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.39 % (6325)Time elapsed: 0.003 s 0.22/0.39 % (6325)Instructions burned: 5 (million) 0.22/0.39 % (6325)------------------------------ 0.22/0.39 % (6325)------------------------------ 0.22/0.39 % (6320)Termination reason: Refutation not found, incomplete strategy 0.22/0.39 0.22/0.39 0.22/0.39 % (6320)Memory used [KB]: 5500 0.22/0.39 % (6320)Time elapsed: 0.006 s 0.22/0.39 % (6320)Instructions burned: 6 (million) 0.22/0.39 % (6320)------------------------------ 0.22/0.39 % (6320)------------------------------ 0.22/0.40 % (6324)Instruction limit reached! 0.22/0.40 % (6324)------------------------------ 0.22/0.40 % (6324)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.40 % (6324)Termination reason: Unknown 0.22/0.40 % (6324)Termination phase: Saturation 0.22/0.40 0.22/0.40 % (6324)Memory used [KB]: 5628 0.22/0.40 % (6324)Time elapsed: 0.015 s 0.22/0.40 % (6324)Instructions burned: 19 (million) 0.22/0.40 % (6324)------------------------------ 0.22/0.40 % (6324)------------------------------ 0.22/0.40 % (6327)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_6089 for (2399ds/37Mi) 0.22/0.41 % (6330)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_6089 for (2399ds/3Mi) 0.22/0.41 % (6329)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_6089 for (2399ds/15Mi) 0.22/0.41 % (6330)Instruction limit reached! 0.22/0.41 % (6330)------------------------------ 0.22/0.41 % (6330)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.41 % (6330)Termination reason: Unknown 0.22/0.41 % (6330)Termination phase: Property scanning 0.22/0.41 0.22/0.41 % (6330)Memory used [KB]: 1023 0.22/0.41 % (6330)Time elapsed: 0.004 s 0.22/0.41 % (6330)Instructions burned: 3 (million) 0.22/0.41 % (6330)------------------------------ 0.22/0.41 % (6330)------------------------------ 0.22/0.41 % (6332)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_6089 for (2399ds/1041Mi) 0.22/0.41 % (6333)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_6089 for (2399ds/7Mi) 0.22/0.41 % (6329)Refutation not found, incomplete strategy 0.22/0.41 % (6329)------------------------------ 0.22/0.41 % (6329)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.41 % (6329)Termination reason: Refutation not found, incomplete strategy 0.22/0.41 0.22/0.41 0.22/0.41 % (6329)Memory used [KB]: 5500 0.22/0.41 % (6329)Time elapsed: 0.005 s 0.22/0.41 % (6329)Instructions burned: 4 (million) 0.22/0.41 % (6329)------------------------------ 0.22/0.41 % (6329)------------------------------ 0.22/0.41 % (6333)Instruction limit reached! 0.22/0.41 % (6333)------------------------------ 0.22/0.41 % (6333)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.41 % (6333)Termination reason: Unknown 0.22/0.41 % (6333)Termination phase: Saturation 0.22/0.41 0.22/0.41 % (6333)Memory used [KB]: 1023 0.22/0.41 % (6333)Time elapsed: 0.008 s 0.22/0.41 % (6333)Instructions burned: 8 (million) 0.22/0.41 % (6333)------------------------------ 0.22/0.41 % (6333)------------------------------ 0.22/0.42 % (6341)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_6089 for (2399ds/16Mi) 0.22/0.43 % (6341)Instruction limit reached! 0.22/0.43 % (6341)------------------------------ 0.22/0.43 % (6341)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.43 % (6341)Termination reason: Unknown 0.22/0.43 % (6341)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (6341)Memory used [KB]: 5628 0.22/0.43 % (6341)Time elapsed: 0.014 s 0.22/0.43 % (6341)Instructions burned: 17 (million) 0.22/0.43 % (6341)------------------------------ 0.22/0.43 % (6341)------------------------------ 0.22/0.43 % (6345)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_6089 for (2399ds/3Mi) 0.22/0.43 % (6345)Instruction limit reached! 0.22/0.43 % (6345)------------------------------ 0.22/0.43 % (6345)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.43 % (6345)Termination reason: Unknown 0.22/0.43 % (6345)Termination phase: Property scanning 0.22/0.43 0.22/0.43 % (6345)Memory used [KB]: 1023 0.22/0.43 % (6345)Time elapsed: 0.006 s 0.22/0.43 % (6345)Instructions burned: 3 (million) 0.22/0.43 % (6345)------------------------------ 0.22/0.43 % (6345)------------------------------ 0.22/0.43 % (6347)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_6089 for (2399ds/3Mi) 0.22/0.43 % (6327)Instruction limit reached! 0.22/0.43 % (6327)------------------------------ 0.22/0.43 % (6327)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.43 % (6327)Termination reason: Unknown 0.22/0.43 % (6327)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (6327)Memory used [KB]: 5756 0.22/0.43 % (6327)Time elapsed: 0.032 s 0.22/0.43 % (6327)Instructions burned: 37 (million) 0.22/0.43 % (6327)------------------------------ 0.22/0.43 % (6327)------------------------------ 0.22/0.44 % (6347)Instruction limit reached! 0.22/0.44 % (6347)------------------------------ 0.22/0.44 % (6347)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.44 % (6347)Termination reason: Unknown 0.22/0.44 % (6347)Termination phase: Function definition elimination 0.22/0.44 0.22/0.44 % (6347)Memory used [KB]: 1023 0.22/0.44 % (6347)Time elapsed: 0.006 s 0.22/0.44 % (6347)Instructions burned: 3 (million) 0.22/0.44 % (6347)------------------------------ 0.22/0.44 % (6347)------------------------------ 0.22/0.44 % (6348)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_6089 for (2399ds/7Mi) 0.23/0.45 % (6356)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_6089 for (2399ds/3Mi) 0.23/0.45 % (6348)Refutation not found, incomplete strategy 0.23/0.45 % (6348)------------------------------ 0.23/0.45 % (6348)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.45 % (6348)Termination reason: Refutation not found, incomplete strategy 0.23/0.45 0.23/0.45 0.23/0.45 % (6348)Memory used [KB]: 5500 0.23/0.45 % (6348)Time elapsed: 0.008 s 0.23/0.45 % (6348)Instructions burned: 5 (million) 0.23/0.45 % (6348)------------------------------ 0.23/0.45 % (6348)------------------------------ 0.23/0.45 % (6356)Instruction limit reached! 0.23/0.45 % (6356)------------------------------ 0.23/0.45 % (6356)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.45 % (6356)Termination reason: Unknown 0.23/0.45 % (6356)Termination phase: Property scanning 0.23/0.45 0.23/0.45 % (6356)Memory used [KB]: 1023 0.23/0.45 % (6356)Time elapsed: 0.004 s 0.23/0.45 % (6356)Instructions burned: 4 (million) 0.23/0.45 % (6356)------------------------------ 0.23/0.45 % (6356)------------------------------ 0.23/0.45 % (6358)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_6089 for (2399ds/4Mi) 0.23/0.45 % (6358)Instruction limit reached! 0.23/0.45 % (6358)------------------------------ 0.23/0.45 % (6358)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.45 % (6358)Termination reason: Unknown 0.23/0.45 % (6358)Termination phase: Saturation 0.23/0.45 0.23/0.45 % (6358)Memory used [KB]: 5500 0.23/0.45 % (6358)Time elapsed: 0.004 s 0.23/0.45 % (6358)Instructions burned: 4 (million) 0.23/0.45 % (6358)------------------------------ 0.23/0.45 % (6358)------------------------------ 0.23/0.46 % (6359)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_6089 for (2399ds/18Mi) 0.23/0.46 % (6364)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_6089 for (2399ds/6Mi) 0.23/0.46 % (6360)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_6089 for (2399ds/710Mi) 0.23/0.47 % (6364)Instruction limit reached! 0.23/0.47 % (6364)------------------------------ 0.23/0.47 % (6364)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.47 % (6364)Termination reason: Unknown 0.23/0.47 % (6364)Termination phase: Saturation 0.23/0.47 0.23/0.47 % (6364)Memory used [KB]: 5500 0.23/0.47 % (6364)Time elapsed: 0.008 s 0.23/0.47 % (6364)Instructions burned: 6 (million) 0.23/0.47 % (6364)------------------------------ 0.23/0.47 % (6364)------------------------------ 0.23/0.47 % (6365)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_6089 for (2399ds/902Mi) 0.23/0.48 % (6367)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_6089 for (2399ds/21Mi) 0.23/0.48 % (6365)Refutation not found, incomplete strategy 0.23/0.48 % (6365)------------------------------ 0.23/0.48 % (6365)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.48 % (6365)Termination reason: Refutation not found, incomplete strategy 0.23/0.48 0.23/0.48 0.23/0.48 % (6365)Memory used [KB]: 5500 0.23/0.48 % (6365)Time elapsed: 0.006 s 0.23/0.48 % (6365)Instructions burned: 3 (million) 0.23/0.48 % (6365)------------------------------ 0.23/0.48 % (6365)------------------------------ 0.23/0.48 % (6359)Instruction limit reached! 0.23/0.48 % (6359)------------------------------ 0.23/0.48 % (6359)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.48 % (6359)Termination reason: Unknown 0.23/0.48 % (6359)Termination phase: Saturation 0.23/0.48 0.23/0.48 % (6359)Memory used [KB]: 5628 0.23/0.48 % (6359)Time elapsed: 0.021 s 0.23/0.48 % (6359)Instructions burned: 19 (million) 0.23/0.48 % (6359)------------------------------ 0.23/0.48 % (6359)------------------------------ 0.23/0.49 % (6372)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_6089 for (2399ds/6Mi) 0.23/0.49 % (6373)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_6089 for (2399ds/377Mi) 0.23/0.49 % (6372)Refutation not found, incomplete strategy 0.23/0.49 % (6372)------------------------------ 0.23/0.49 % (6372)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.49 % (6372)Termination reason: Refutation not found, incomplete strategy 0.23/0.49 0.23/0.49 0.23/0.49 % (6372)Memory used [KB]: 5500 0.23/0.49 % (6372)Time elapsed: 0.004 s 0.23/0.49 % (6372)Instructions burned: 3 (million) 0.23/0.49 % (6372)------------------------------ 0.23/0.49 % (6372)------------------------------ 0.23/0.50 % (6373)Refutation not found, incomplete strategy 0.23/0.50 % (6373)------------------------------ 0.23/0.50 % (6373)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.50 % (6373)Termination reason: Refutation not found, incomplete strategy 0.23/0.50 0.23/0.50 0.23/0.50 % (6373)Memory used [KB]: 5500 0.23/0.50 % (6373)Time elapsed: 0.004 s 0.23/0.50 % (6373)Instructions burned: 4 (million) 0.23/0.50 % (6373)------------------------------ 0.23/0.50 % (6373)------------------------------ 0.23/0.50 % (6370)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_6089 for (2399ds/5Mi) 0.23/0.50 % (6367)Instruction limit reached! 0.23/0.50 % (6367)------------------------------ 0.23/0.50 % (6367)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.50 % (6367)Termination reason: Unknown 0.23/0.50 % (6367)Termination phase: Saturation 0.23/0.50 0.23/0.50 % (6367)Memory used [KB]: 5628 0.23/0.50 % (6367)Time elapsed: 0.027 s 0.23/0.50 % (6367)Instructions burned: 21 (million) 0.23/0.50 % (6367)------------------------------ 0.23/0.50 % (6367)------------------------------ 0.23/0.50 % (6370)Instruction limit reached! 0.23/0.50 % (6370)------------------------------ 0.23/0.50 % (6370)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.50 % (6370)Termination reason: Unknown 0.23/0.50 % (6370)Termination phase: Saturation 0.23/0.50 0.23/0.50 % (6370)Memory used [KB]: 5500 0.23/0.50 % (6370)Time elapsed: 0.007 s 0.23/0.50 % (6370)Instructions burned: 5 (million) 0.23/0.50 % (6370)------------------------------ 0.23/0.50 % (6370)------------------------------ 0.23/0.51 % (6378)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_6089 for (2398ds/19Mi) 0.23/0.51 % (6378)Refutation not found, incomplete strategy 0.23/0.51 % (6378)------------------------------ 0.23/0.51 % (6378)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.51 % (6378)Termination reason: Refutation not found, incomplete strategy 0.23/0.51 0.23/0.51 0.23/0.51 % (6378)Memory used [KB]: 5500 0.23/0.51 % (6378)Time elapsed: 0.002 s 0.23/0.51 % (6378)Instructions burned: 3 (million) 0.23/0.51 % (6378)------------------------------ 0.23/0.51 % (6378)------------------------------ 0.23/0.51 % (6381)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_6089 for (2398ds/879Mi) 0.23/0.52 % (6318)Instruction limit reached! 0.23/0.52 % (6318)------------------------------ 0.23/0.52 % (6318)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.52 % (6318)Termination reason: Unknown 0.23/0.52 % (6318)Termination phase: Saturation 0.23/0.52 0.23/0.52 % (6318)Memory used [KB]: 5884 0.23/0.52 % (6318)Time elapsed: 0.130 s 0.23/0.52 % (6318)Instructions burned: 184 (million) 0.23/0.52 % (6318)------------------------------ 0.23/0.52 % (6318)------------------------------ 0.23/0.52 % (6385)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_6089 for (2398ds/3Mi) 0.23/0.52 % (6385)Instruction limit reached! 0.23/0.52 % (6385)------------------------------ 0.23/0.52 % (6385)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.52 % (6385)Termination reason: Unknown 0.23/0.52 % (6385)Termination phase: Function definition elimination 0.23/0.52 0.23/0.52 % (6385)Memory used [KB]: 1023 0.23/0.52 % (6385)Time elapsed: 0.003 s 0.23/0.52 % (6385)Instructions burned: 3 (million) 0.23/0.52 % (6385)------------------------------ 0.23/0.52 % (6385)------------------------------ 0.23/0.52 % (6381)Refutation not found, incomplete strategy 0.23/0.52 % (6381)------------------------------ 0.23/0.52 % (6381)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.52 % (6381)Termination reason: Refutation not found, incomplete strategy 0.23/0.52 0.23/0.52 0.23/0.52 % (6381)Memory used [KB]: 5500 0.23/0.52 % (6381)Time elapsed: 0.005 s 0.23/0.52 % (6381)Instructions burned: 5 (million) 0.23/0.52 % (6381)------------------------------ 0.23/0.52 % (6381)------------------------------ 0.23/0.52 % (6377)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_6089 for (2398ds/779Mi) 0.23/0.52 % (6383)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_6089 for (2398ds/17Mi) 0.23/0.53 % (6390)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_6089 for (2398ds/100Mi) 0.23/0.53 % (6387)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_6089 for (2398ds/30Mi) 0.23/0.53 % (6389)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_6089 for (2398ds/127Mi) 0.23/0.53 % (6383)Instruction limit reached! 0.23/0.53 % (6383)------------------------------ 0.23/0.53 % (6383)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.53 % (6383)Termination reason: Unknown 0.23/0.53 % (6383)Termination phase: Saturation 0.23/0.53 0.23/0.53 % (6383)Memory used [KB]: 5628 0.23/0.53 % (6383)Time elapsed: 0.013 s 0.23/0.53 % (6383)Instructions burned: 17 (million) 0.23/0.53 % (6383)------------------------------ 0.23/0.53 % (6383)------------------------------ 0.23/0.54 % (6390)Refutation not found, incomplete strategy 0.23/0.54 % (6390)------------------------------ 0.23/0.54 % (6390)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.54 % (6390)Termination reason: Refutation not found, incomplete strategy 0.23/0.54 0.23/0.54 0.23/0.54 % (6390)Memory used [KB]: 5500 0.23/0.54 % (6390)Time elapsed: 0.005 s 0.23/0.54 % (6390)Instructions burned: 8 (million) 0.23/0.54 % (6390)------------------------------ 0.23/0.54 % (6390)------------------------------ 0.23/0.54 % (6395)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_6089 for (2398ds/20Mi) 0.23/0.55 % (6395)Refutation not found, incomplete strategy 0.23/0.55 % (6395)------------------------------ 0.23/0.55 % (6395)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.55 % (6395)Termination reason: Refutation not found, incomplete strategy 0.23/0.55 0.23/0.55 0.23/0.55 % (6395)Memory used [KB]: 5500 0.23/0.55 % (6395)Time elapsed: 0.002 s 0.23/0.55 % (6395)Instructions burned: 3 (million) 0.23/0.55 % (6395)------------------------------ 0.23/0.55 % (6395)------------------------------ 1.35/0.55 % (6387)Instruction limit reached! 1.35/0.55 % (6387)------------------------------ 1.35/0.55 % (6387)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.35/0.55 % (6387)Termination reason: Unknown 1.35/0.55 % (6387)Termination phase: Saturation 1.35/0.55 1.35/0.55 % (6387)Memory used [KB]: 5756 1.35/0.55 % (6387)Time elapsed: 0.021 s 1.35/0.55 % (6387)Instructions burned: 31 (million) 1.35/0.55 % (6387)------------------------------ 1.35/0.55 % (6387)------------------------------ 1.35/0.55 % (6394)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_6089 for (2398ds/3Mi) 1.35/0.55 % (6394)Instruction limit reached! 1.35/0.55 % (6394)------------------------------ 1.35/0.55 % (6394)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.35/0.55 % (6394)Termination reason: Unknown 1.35/0.55 % (6394)Termination phase: Saturation 1.35/0.55 1.35/0.55 % (6394)Memory used [KB]: 5500 1.35/0.55 % (6394)Time elapsed: 0.004 s 1.35/0.55 % (6394)Instructions burned: 4 (million) 1.35/0.55 % (6394)------------------------------ 1.35/0.55 % (6394)------------------------------ 1.35/0.56 % (6398)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_6089 for (2398ds/86Mi) 1.35/0.56 % (6402)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_6089 for (2398ds/39Mi) 1.49/0.57 % (6400)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_6089 for (2398ds/107Mi) 1.49/0.57 % (6400)Refutation not found, incomplete strategy 1.49/0.57 % (6400)------------------------------ 1.49/0.57 % (6400)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.49/0.57 % (6400)Termination reason: Refutation not found, incomplete strategy 1.49/0.57 1.49/0.57 1.49/0.57 % (6400)Memory used [KB]: 5500 1.49/0.57 % (6400)Time elapsed: 0.006 s 1.49/0.57 % (6400)Instructions burned: 4 (million) 1.49/0.57 % (6400)------------------------------ 1.49/0.57 % (6400)------------------------------ 1.49/0.58 % (6402)Instruction limit reached! 1.49/0.58 % (6402)------------------------------ 1.49/0.58 % (6402)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.49/0.58 % (6402)Termination reason: Unknown 1.49/0.58 % (6402)Termination phase: Saturation 1.49/0.58 1.49/0.58 % (6402)Memory used [KB]: 5628 1.49/0.58 % (6402)Time elapsed: 0.039 s 1.49/0.58 % (6402)Instructions burned: 40 (million) 1.49/0.58 % (6402)------------------------------ 1.49/0.58 % (6402)------------------------------ 1.49/0.59 % (6405)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_6089 for (2398ds/448Mi) 1.49/0.59 % (6405)Refutation not found, incomplete strategy 1.49/0.59 % (6405)------------------------------ 1.49/0.59 % (6405)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.49/0.59 % (6405)Termination reason: Refutation not found, incomplete strategy 1.49/0.59 1.49/0.59 1.49/0.59 % (6405)Memory used [KB]: 5500 1.49/0.59 % (6405)Time elapsed: 0.025 s 1.49/0.59 % (6405)Instructions burned: 3 (million) 1.49/0.59 % (6405)------------------------------ 1.49/0.59 % (6405)------------------------------ 1.49/0.59 % (6407)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_6089 for (2398ds/46Mi) 1.49/0.60 % (6398)Instruction limit reached! 1.49/0.60 % (6398)------------------------------ 1.49/0.60 % (6398)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.49/0.60 % (6398)Termination reason: Unknown 1.49/0.60 % (6398)Termination phase: Saturation 1.49/0.60 1.49/0.60 % (6398)Memory used [KB]: 5884 1.49/0.60 % (6398)Time elapsed: 0.058 s 1.49/0.60 % (6398)Instructions burned: 86 (million) 1.49/0.60 % (6398)------------------------------ 1.49/0.60 % (6398)------------------------------ 1.49/0.60 % (6389)Instruction limit reached! 1.49/0.60 % (6389)------------------------------ 1.49/0.60 % (6389)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.49/0.60 % (6389)Termination reason: Unknown 1.49/0.60 % (6389)Termination phase: Saturation 1.49/0.60 1.49/0.60 % (6389)Memory used [KB]: 5884 1.49/0.60 % (6389)Time elapsed: 0.071 s 1.49/0.60 % (6389)Instructions burned: 127 (million) 1.49/0.60 % (6389)------------------------------ 1.49/0.60 % (6389)------------------------------ 1.49/0.60 % (6410)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_6089 for (2398ds/98Mi) 1.49/0.61 % (6411)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_6089 for (2397ds/507Mi) 1.49/0.61 % (6415)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_6089 for (2397ds/149Mi) 1.49/0.61 % (6410)Refutation not found, incomplete strategy 1.49/0.61 % (6410)------------------------------ 1.49/0.61 % (6410)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.49/0.61 % (6410)Termination reason: Refutation not found, incomplete strategy 1.49/0.61 1.49/0.61 1.49/0.61 % (6410)Memory used [KB]: 1151 1.49/0.61 % (6410)Time elapsed: 0.032 s 1.49/0.61 % (6410)Instructions burned: 13 (million) 1.49/0.61 % (6410)------------------------------ 1.49/0.61 % (6410)------------------------------ 1.49/0.61 % (6411)Refutation not found, incomplete strategy 1.49/0.61 % (6411)------------------------------ 1.49/0.61 % (6411)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.49/0.61 % (6411)Termination reason: Refutation not found, incomplete strategy 1.49/0.61 1.49/0.61 1.49/0.61 % (6411)Memory used [KB]: 5500 1.49/0.61 % (6411)Time elapsed: 0.004 s 1.49/0.61 % (6411)Instructions burned: 5 (million) 1.49/0.61 % (6411)------------------------------ 1.49/0.61 % (6411)------------------------------ 1.49/0.62 % (6407)Instruction limit reached! 1.49/0.62 % (6407)------------------------------ 1.49/0.62 % (6407)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.49/0.62 % (6407)Termination reason: Unknown 1.49/0.62 % (6407)Termination phase: Saturation 1.49/0.62 1.49/0.62 % (6407)Memory used [KB]: 5756 1.49/0.62 % (6407)Time elapsed: 0.052 s 1.49/0.62 % (6407)Instructions burned: 46 (million) 1.49/0.62 % (6407)------------------------------ 1.49/0.62 % (6407)------------------------------ 1.49/0.63 % (6418)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_6089 for (2397ds/6Mi) 1.92/0.63 % (6418)Instruction limit reached! 1.92/0.63 % (6418)------------------------------ 1.92/0.63 % (6418)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.92/0.63 % (6418)Termination reason: Unknown 1.92/0.63 % (6418)Termination phase: Saturation 1.92/0.63 1.92/0.63 % (6418)Memory used [KB]: 9978 1.92/0.63 % (6418)Time elapsed: 0.006 s 1.92/0.63 % (6418)Instructions burned: 6 (million) 1.92/0.63 % (6418)------------------------------ 1.92/0.63 % (6418)------------------------------ 1.92/0.64 % (6417)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on E---3.1_6089 for (2397ds/39Mi) 1.92/0.64 % (6420)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_6089 for (2397ds/1087Mi) 1.92/0.64 % (6417)Refutation not found, incomplete strategy 1.92/0.64 % (6417)------------------------------ 1.92/0.64 % (6417)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.92/0.64 % (6417)Termination reason: Refutation not found, incomplete strategy 1.92/0.64 1.92/0.64 1.92/0.64 % (6420)Refutation not found, incomplete strategy 1.92/0.64 % (6420)------------------------------ 1.92/0.64 % (6420)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.92/0.64 % (6417)Memory used [KB]: 5500 1.92/0.64 % (6417)Time elapsed: 0.006 s 1.92/0.64 % (6417)Instructions burned: 6 (million) 1.92/0.64 % (6417)------------------------------ 1.92/0.64 % (6417)------------------------------ 1.92/0.64 % (6420)Termination reason: Refutation not found, incomplete strategy 1.92/0.64 1.92/0.64 1.92/0.64 % (6420)Memory used [KB]: 5500 1.92/0.64 % (6420)Time elapsed: 0.004 s 1.92/0.64 % (6420)Instructions burned: 3 (million) 1.92/0.64 % (6420)------------------------------ 1.92/0.64 % (6420)------------------------------ 1.92/0.65 % (6422)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on E---3.1_6089 for (2397ds/47Mi) 1.92/0.65 % (6423)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_6089 for (2397ds/44Mi) 1.92/0.65 % (6423)Refutation not found, incomplete strategy 1.92/0.65 % (6423)------------------------------ 1.92/0.65 % (6423)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.92/0.65 % (6423)Termination reason: Refutation not found, incomplete strategy 1.92/0.65 1.92/0.65 1.92/0.65 % (6423)Memory used [KB]: 1023 1.92/0.65 % (6423)Time elapsed: 0.003 s 1.92/0.65 % (6423)Instructions burned: 3 (million) 1.92/0.65 % (6423)------------------------------ 1.92/0.65 % (6423)------------------------------ 1.92/0.66 % (6424)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_6089 for (2397ds/432Mi) 2.09/0.66 % (6426)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_6089 for (2397ds/62Mi) 2.09/0.67 % (6415)First to succeed. 2.09/0.67 % (6415)Refutation found. Thanks to Tanya! 2.09/0.67 % SZS status Theorem for E---3.1_6089 2.09/0.67 % SZS output start Proof for E---3.1_6089 2.09/0.67 thf(func_def_0, type, emptyset: $i > $o). 2.09/0.67 thf(func_def_1, type, union: ($i > $o) > ($i > $o) > $i > $o). 2.09/0.67 thf(func_def_3, type, singleton: $i > $i > $o). 2.09/0.67 thf(func_def_5, type, sup: ($i > $o) > $i). 2.09/0.67 thf(func_def_6, type, supset: (($i > $o) > $o) > $i > $o). 2.09/0.67 thf(func_def_7, type, unionset: (($i > $o) > $o) > $i > $o). 2.09/0.67 thf(func_def_8, type, addition: $i > $i > $i). 2.09/0.67 thf(func_def_9, type, leq: $i > $i > $o). 2.09/0.67 thf(func_def_10, type, multiplication: $i > $i > $i). 2.09/0.67 thf(func_def_11, type, crossmult: ($i > $o) > ($i > $o) > $i > $o). 2.09/0.67 thf(func_def_26, type, sF1: $i > $i). 2.09/0.67 thf(func_def_27, type, sF2: $i > $o). 2.09/0.67 thf(func_def_31, type, ph6: !>[X0: $tType]:(X0)). 2.09/0.67 thf(func_def_32, type, sK7: $i > $i). 2.09/0.67 thf(func_def_33, type, sK8: $i > $i > $i). 2.09/0.67 thf(func_def_34, type, sK9: $i > $i > $i). 2.09/0.67 thf(func_def_35, type, sK10: $i > $i). 2.09/0.67 thf(func_def_36, type, sK11: $i > $i). 2.09/0.67 thf(func_def_37, type, sK12: $i > $i > $i > $i). 2.09/0.67 thf(func_def_38, type, sK13: ($i > $o) > ($i > $o) > $i). 2.09/0.67 thf(func_def_39, type, sK14: ($i > $o) > ($i > $o) > $i). 2.09/0.67 thf(func_def_40, type, sK15: ($i > $o) > ($i > $o) > $i). 2.09/0.67 thf(func_def_41, type, sK16: ($i > $o) > ($i > $o) > $i > $i). 2.09/0.67 thf(func_def_42, type, sK17: ($i > $o) > ($i > $o) > $i > $i). 2.09/0.67 thf(func_def_43, type, sK18: ($i > $o) > ($i > $o) > $i > $i). 2.09/0.67 thf(func_def_44, type, sK19: (($i > $o) > $o) > $i). 2.09/0.67 thf(func_def_45, type, sK20: (($i > $o) > $o) > $i > $o). 2.09/0.67 thf(func_def_46, type, sK21: ($i > $o) > (($i > $o) > $o) > $i > $o). 2.09/0.67 thf(func_def_47, type, sK22: ($i > $o) > ($i > $o) > ($i > $o) > $i). 2.09/0.67 thf(func_def_48, type, sK23: ($i > $o) > ($i > $o) > ($i > $o) > $i). 2.09/0.67 thf(func_def_49, type, sK24: $i > (($i > $o) > $o) > $i). 2.09/0.67 thf(func_def_50, type, sK25: $i > (($i > $o) > $o) > $i > $o). 2.09/0.67 thf(func_def_51, type, sK26: $i > ($i > $o) > ($i > $o) > $i > $i). 2.09/0.67 thf(func_def_52, type, sK27: ($i > $o) > $i > $i > ($i > $o) > $i). 2.09/0.67 thf(func_def_53, type, sK28: ($i > $o) > $i > ($i > $o) > $i > $i). 2.09/0.67 thf(func_def_54, type, sK29: $i > (($i > $o) > $o) > $i > $i). 2.09/0.67 thf(func_def_55, type, sK30: $i > (($i > $o) > $o) > $i > $i > $o). 2.09/0.67 thf(func_def_56, type, sK31: ($i > $o) > (($i > $o) > $o) > $i > $o). 2.09/0.67 thf(func_def_57, type, sK32: ($i > $o) > ($i > $o) > ($i > $o) > $i). 2.09/0.67 thf(func_def_58, type, sK33: ($i > $o) > ($i > $o) > ($i > $o) > $i). 2.09/0.67 thf(func_def_59, type, sK34: ($i > $o) > ($i > $o) > ($i > $o) > ($i > $o) > $i). 2.09/0.67 thf(func_def_60, type, sK35: ($i > $o) > ($i > $o) > ($i > $o) > ($i > $o) > $i). 2.09/0.67 thf(func_def_61, type, sK36: ($i > $o) > ($i > $o) > ($i > $o) > ($i > $o) > $i). 2.09/0.67 thf(func_def_62, type, sK37: ($i > $o) > ($i > $o) > ($i > $o) > ($i > $o) > $i). 2.09/0.67 thf(func_def_63, type, sK38: ($i > $o) > ($i > $o) > ($i > $o) > ($i > $o) > $i). 2.09/0.67 thf(func_def_64, type, sK39: ($i > $o) > (($i > $o) > $o) > ($i > $o) > $i). 2.09/0.67 thf(func_def_65, type, sK40: ($i > $o) > (($i > $o) > $o) > ($i > $o) > $i). 2.09/0.67 thf(func_def_66, type, sK41: ($i > $o) > (($i > $o) > $o) > ($i > $o) > $i). 2.09/0.67 thf(func_def_67, type, sK42: ($i > $o) > (($i > $o) > $o) > ($i > $o) > $i > $o). 2.09/0.67 thf(f532,plain,( 2.09/0.67 $false), 2.09/0.67 inference(subsumption_resolution,[],[f531,f66])). 2.09/0.67 thf(f66,plain,( 2.09/0.67 (sF4 != sF3)), 2.09/0.67 inference(definition_folding,[],[f58,f64,f63,f65,f64,f63,f62])). 2.09/0.67 thf(f62,plain,( 2.09/0.67 ((multiplication @ sK0) = sF1)), 2.09/0.67 introduced(function_definition,[])). 2.09/0.67 thf(f65,plain,( 2.09/0.67 (sF4 = (sF1 @ sF3))), 2.09/0.67 introduced(function_definition,[])). 2.09/0.67 thf(f63,plain,( 2.09/0.67 (sF2 = (^[Y0 : $i]: ($false)))), 2.09/0.67 introduced(function_definition,[])). 2.09/0.67 thf(f64,plain,( 2.09/0.67 (sF3 = (sup @ sF2))), 2.09/0.67 introduced(function_definition,[])). 2.09/0.67 thf(f58,plain,( 2.09/0.67 ((multiplication @ sK0 @ (sup @ (^[Y0 : $i]: ($false)))) != (sup @ (^[Y0 : $i]: ($false))))), 2.09/0.67 inference(definition_unfolding,[],[f47,f54,f54])). 2.09/0.67 thf(f54,plain,( 2.09/0.67 (zero = (sup @ (^[Y0 : $i]: ($false))))), 2.09/0.67 inference(definition_unfolding,[],[f38,f45])). 2.09/0.67 thf(f45,plain,( 2.09/0.67 (emptyset = (^[Y0 : $i]: ($false)))), 2.09/0.67 inference(cnf_transformation,[],[f20])). 2.09/0.67 thf(f20,plain,( 2.09/0.67 (emptyset = (^[Y0 : $i]: ($false)))), 2.09/0.67 inference(fool_elimination,[],[f1])). 2.09/0.67 thf(f1,axiom,( 2.09/0.67 ((^[X0 : $i] : ($false)) = emptyset)), 2.09/0.67 file('/export/starexec/sandbox/tmp/tmp.b3fK9UzcoH/E---3.1_6089.p',emptyset_def)). 2.09/0.67 thf(f38,plain,( 2.09/0.67 ((sup @ emptyset) = zero)), 2.09/0.67 inference(cnf_transformation,[],[f14])). 2.09/0.67 thf(f14,axiom,( 2.09/0.67 ((sup @ emptyset) = zero)), 2.09/0.67 file('/export/starexec/sandbox/tmp/tmp.b3fK9UzcoH/E---3.1_6089.p',sup_es)). 2.09/0.67 thf(f47,plain,( 2.09/0.67 (zero != (multiplication @ sK0 @ zero))), 2.09/0.67 inference(cnf_transformation,[],[f36])). 2.09/0.67 thf(f36,plain,( 2.09/0.67 (zero != (multiplication @ sK0 @ zero))), 2.09/0.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f34,f35])). 2.09/0.67 thf(f35,plain,( 2.09/0.67 ? [X0] : (zero != (multiplication @ X0 @ zero)) => (zero != (multiplication @ sK0 @ zero))), 2.09/0.67 introduced(choice_axiom,[])). 2.09/0.67 thf(f34,plain,( 2.09/0.67 ? [X0] : (zero != (multiplication @ X0 @ zero))), 2.09/0.67 inference(ennf_transformation,[],[f33])). 2.09/0.67 thf(f33,plain,( 2.09/0.67 ~! [X0] : (zero = (multiplication @ X0 @ zero))), 2.09/0.67 inference(rectify,[],[f16])). 2.09/0.67 thf(f16,negated_conjecture,( 2.09/0.67 ~! [X5] : (zero = (multiplication @ X5 @ zero))), 2.09/0.67 inference(negated_conjecture,[],[f15])). 2.09/0.67 thf(f15,conjecture,( 2.09/0.67 ! [X5] : (zero = (multiplication @ X5 @ zero))), 2.09/0.67 file('/export/starexec/sandbox/tmp/tmp.b3fK9UzcoH/E---3.1_6089.p',multiplication_anni)). 2.09/0.67 thf(f531,plain,( 2.09/0.67 (sF4 = sF3)), 2.09/0.67 inference(backward_demodulation,[],[f65,f529])). 2.09/0.67 thf(f529,plain,( 2.09/0.67 (sF3 = (sF1 @ sF3))), 2.09/0.67 inference(superposition,[],[f487,f74])). 2.09/0.67 thf(f74,plain,( 2.09/0.67 ( ! [X1 : $i] : (((multiplication @ sK0 @ X1) = (sF1 @ X1))) )), 2.09/0.67 inference(argument_congruence,[],[f62])). 2.09/0.67 thf(f487,plain,( 2.09/0.67 ( ! [X0 : $i] : (((multiplication @ X0 @ sF3) = sF3)) )), 2.09/0.67 inference(superposition,[],[f432,f69])). 2.09/0.67 thf(f69,plain,( 2.09/0.67 ( ! [X0 : $i] : (((sup @ (= @ X0)) = X0)) )), 2.09/0.67 inference(beta_eta_normalization,[],[f59])). 2.09/0.67 thf(f59,plain,( 2.09/0.67 ( ! [X0 : $i] : (((sup @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ X0)) = X0)) )), 2.09/0.67 inference(definition_unfolding,[],[f51,f50])). 2.09/0.67 thf(f50,plain,( 2.09/0.67 (singleton = (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))))), 2.09/0.67 inference(cnf_transformation,[],[f24])). 2.09/0.67 thf(f24,plain,( 2.09/0.67 (singleton = (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))))), 2.09/0.67 inference(fool_elimination,[],[f23])). 2.09/0.67 thf(f23,plain,( 2.09/0.67 ((^[X0 : $i, X1 : $i] : ((X0 = X1))) = singleton)), 2.09/0.67 inference(rectify,[],[f3])). 2.09/0.67 thf(f3,axiom,( 2.09/0.67 ((^[X0 : $i, X2 : $i] : ((X0 = X2))) = singleton)), 2.09/0.67 file('/export/starexec/sandbox/tmp/tmp.b3fK9UzcoH/E---3.1_6089.p',singleton_def)). 2.09/0.67 thf(f51,plain,( 2.09/0.67 ( ! [X0 : $i] : (((sup @ (singleton @ X0)) = X0)) )), 2.09/0.67 inference(cnf_transformation,[],[f9])). 2.09/0.67 thf(f9,axiom,( 2.09/0.67 ! [X0] : ((sup @ (singleton @ X0)) = X0)), 2.09/0.67 file('/export/starexec/sandbox/tmp/tmp.b3fK9UzcoH/E---3.1_6089.p',sup_singleset)). 2.09/0.67 thf(f432,plain,( 2.09/0.67 ( ! [X0 : $i > $o] : ((sF3 = (multiplication @ (sup @ X0) @ sF3))) )), 2.09/0.67 inference(trivial_inequality_removal,[],[f431])). 2.09/0.67 thf(f431,plain,( 2.09/0.67 ( ! [X0 : $i > $o] : ((sF3 = (multiplication @ (sup @ X0) @ sF3)) | ($true = $false)) )), 2.09/0.67 inference(forward_demodulation,[],[f409,f73])). 2.09/0.67 thf(f73,plain,( 2.09/0.67 ( ! [X1 : $i] : (((sF2 @ X1) = $false)) )), 2.09/0.67 inference(beta_eta_normalization,[],[f72])). 2.09/0.67 thf(f72,plain,( 2.09/0.67 ( ! [X1 : $i] : ((((^[Y0 : $i]: ($false)) @ X1) = (sF2 @ X1))) )), 2.09/0.67 inference(argument_congruence,[],[f63])). 2.09/0.67 thf(f409,plain,( 2.09/0.67 ( ! [X0 : $i > $o] : ((sF3 = (multiplication @ (sup @ X0) @ sF3)) | ((sF2 @ (sK14 @ X0 @ sF2)) = $true)) )), 2.09/0.67 inference(superposition,[],[f215,f64])). 2.09/0.67 thf(f215,plain,( 2.09/0.67 ( ! [X0 : $i > $o,X1 : $i > $o] : ((sF3 = (multiplication @ (sup @ X1) @ (sup @ X0))) | ((X0 @ (sK14 @ X1 @ X0)) = $true)) )), 2.09/0.67 inference(trivial_inequality_removal,[],[f214])). 2.09/0.67 thf(f214,plain,( 2.09/0.67 ( ! [X0 : $i > $o,X1 : $i > $o] : ((sF3 = (multiplication @ (sup @ X1) @ (sup @ X0))) | ((X0 @ (sK14 @ X1 @ X0)) = $true) | ($true = $false)) )), 2.09/0.67 inference(forward_demodulation,[],[f206,f73])). 2.09/0.67 thf(f206,plain,( 2.09/0.67 ( ! [X0 : $i > $o,X1 : $i > $o] : (((X0 @ (sK14 @ X1 @ X0)) = $true) | ((sF2 @ (sK13 @ X1 @ X0)) = $true) | (sF3 = (multiplication @ (sup @ X1) @ (sup @ X0)))) )), 2.09/0.67 inference(binary_proxy_clausification,[],[f204])). 2.09/0.67 thf(f204,plain,( 2.09/0.67 ( ! [X0 : $i > $o,X1 : $i > $o] : (((sF2 @ (sK13 @ X1 @ X0)) = $true) | (((X0 @ (sK14 @ X1 @ X0)) & ((multiplication @ (sK15 @ X1 @ X0) @ (sK14 @ X1 @ X0)) = (sK13 @ X1 @ X0))) = $true) | (sF3 = (multiplication @ (sup @ X1) @ (sup @ X0)))) )), 2.09/0.67 inference(binary_proxy_clausification,[],[f202])). 2.09/0.67 thf(f202,plain,( 2.09/0.67 ( ! [X0 : $i > $o,X1 : $i > $o] : (((sF2 @ (sK13 @ X1 @ X0)) = $true) | (sF3 = (multiplication @ (sup @ X1) @ (sup @ X0))) | ($true = (((X0 @ (sK14 @ X1 @ X0)) & ((multiplication @ (sK15 @ X1 @ X0) @ (sK14 @ X1 @ X0)) = (sK13 @ X1 @ X0))) & (X1 @ (sK15 @ X1 @ X0))))) )), 2.09/0.67 inference(beta_eta_normalization,[],[f201])). 2.09/0.67 thf(f201,plain,( 2.09/0.67 ( ! [X0 : $i > $o,X1 : $i > $o] : (((sF2 @ (sK13 @ X1 @ X0)) = $true) | (sF3 = (multiplication @ (sup @ X1) @ (sup @ X0))) | (((^[Y0 : $i]: (((X0 @ (sK14 @ X1 @ X0)) & ((multiplication @ Y0 @ (sK14 @ X1 @ X0)) = (sK13 @ X1 @ X0))) & (X1 @ Y0))) @ (sK15 @ X1 @ X0)) = $true)) )), 2.09/0.67 inference(sigma_clausification,[],[f200])). 2.09/0.67 thf(f200,plain,( 2.09/0.67 ( ! [X0 : $i > $o,X1 : $i > $o] : (((sF2 @ (sK13 @ X1 @ X0)) = $true) | (sF3 = (multiplication @ (sup @ X1) @ (sup @ X0))) | ($true = (?? @ $i @ (^[Y0 : $i]: (((X0 @ (sK14 @ X1 @ X0)) & ((multiplication @ Y0 @ (sK14 @ X1 @ X0)) = (sK13 @ X1 @ X0))) & (X1 @ Y0)))))) )), 2.09/0.67 inference(beta_eta_normalization,[],[f199])). 2.09/0.67 thf(f199,plain,( 2.09/0.67 ( ! [X0 : $i > $o,X1 : $i > $o] : (((sF2 @ (sK13 @ X1 @ X0)) = $true) | (sF3 = (multiplication @ (sup @ X1) @ (sup @ X0))) | ($true = ((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (((X0 @ Y0) & ((multiplication @ Y1 @ Y0) = (sK13 @ X1 @ X0))) & (X1 @ Y1))))) @ (sK14 @ X1 @ X0)))) )), 2.09/0.67 inference(sigma_clausification,[],[f190])). 2.09/0.67 thf(f190,plain,( 2.09/0.67 ( ! [X0 : $i > $o,X1 : $i > $o] : (((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (((X0 @ Y0) & ((multiplication @ Y1 @ Y0) = (sK13 @ X1 @ X0))) & (X1 @ Y1)))))) = $true) | ((sF2 @ (sK13 @ X1 @ X0)) = $true) | (sF3 = (multiplication @ (sup @ X1) @ (sup @ X0)))) )), 2.09/0.67 inference(binary_proxy_clausification,[],[f189])). 2.09/0.67 thf(f189,plain,( 2.09/0.67 ( ! [X0 : $i > $o,X1 : $i > $o] : (((sF2 @ (sK13 @ X1 @ X0)) != (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (((X0 @ Y0) & ((multiplication @ Y1 @ Y0) = (sK13 @ X1 @ X0))) & (X1 @ Y1))))))) | (sF3 = (multiplication @ (sup @ X1) @ (sup @ X0)))) )), 2.09/0.67 inference(beta_eta_normalization,[],[f187])). 2.09/0.67 thf(f187,plain,( 2.09/0.67 ( ! [X0 : $i > $o,X1 : $i > $o] : ((sF3 = (multiplication @ (sup @ X1) @ (sup @ X0))) | ((sF2 @ (sK13 @ X1 @ X0)) != ((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (((X0 @ Y1) & ((multiplication @ Y2 @ Y1) = Y0)) & (X1 @ Y2))))))) @ (sK13 @ X1 @ X0)))) )), 2.09/0.67 inference(negative_extensionality,[],[f102])). 2.09/0.67 thf(f102,plain,( 2.09/0.67 ( ! [X0 : $i > $o,X1 : $i > $o] : ((sF2 != (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (((X0 @ Y1) & ((multiplication @ Y2 @ Y1) = Y0)) & (X1 @ Y2)))))))) | (sF3 = (multiplication @ (sup @ X1) @ (sup @ X0)))) )), 2.09/0.67 inference(constrained_superposition,[],[f71,f64])). 2.09/0.67 thf(f71,plain,( 2.09/0.67 ( ! [X0 : $i > $o,X1 : $i > $o] : (((sup @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (((X0 @ Y1) & ((multiplication @ Y2 @ Y1) = Y0)) & (X1 @ Y2)))))))) = (multiplication @ (sup @ X1) @ (sup @ X0)))) )), 2.09/0.67 inference(beta_eta_normalization,[],[f56])). 2.09/0.67 thf(f56,plain,( 2.09/0.67 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X1) @ (sup @ X0)) = (sup @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: (((Y1 @ Y3) & ((multiplication @ Y4 @ Y3) = Y2)) & (Y0 @ Y4))))))))))) @ X1 @ X0)))) )), 2.09/0.67 inference(definition_unfolding,[],[f40,f43])). 2.09/0.67 thf(f43,plain,( 2.09/0.67 (crossmult = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: (((Y1 @ Y3) & ((multiplication @ Y4 @ Y3) = Y2)) & (Y0 @ Y4))))))))))))), 2.09/0.67 inference(cnf_transformation,[],[f19])). 2.09/0.67 thf(f19,plain,( 2.09/0.67 (crossmult = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: (((Y1 @ Y3) & ((multiplication @ Y4 @ Y3) = Y2)) & (Y0 @ Y4))))))))))))), 2.09/0.67 inference(fool_elimination,[],[f18])). 2.09/0.67 thf(f18,plain,( 2.09/0.67 (crossmult = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : (? [X3,X4] : ((X0 @ X3) & ((multiplication @ X3 @ X4) = X2) & (X1 @ X4)))))), 2.09/0.67 inference(rectify,[],[f7])). 2.09/0.67 thf(f7,axiom,( 2.09/0.67 (crossmult = (^[X0 : $i > $o, X1 : $i > $o, X4 : $i] : (? [X5,X6] : ((X0 @ X5) & ((multiplication @ X5 @ X6) = X4) & (X1 @ X6)))))), 2.09/0.67 file('/export/starexec/sandbox/tmp/tmp.b3fK9UzcoH/E---3.1_6089.p',crossmult_def)). 2.09/0.67 thf(f40,plain,( 2.09/0.67 ( ! [X0 : $i > $o,X1 : $i > $o] : (((sup @ (crossmult @ X1 @ X0)) = (multiplication @ (sup @ X1) @ (sup @ X0)))) )), 2.09/0.67 inference(cnf_transformation,[],[f32])). 2.09/0.67 thf(f32,plain,( 2.09/0.67 ! [X0 : $i > $o,X1 : $i > $o] : ((sup @ (crossmult @ X1 @ X0)) = (multiplication @ (sup @ X1) @ (sup @ X0)))), 2.09/0.67 inference(rectify,[],[f12])). 2.09/0.67 thf(f12,axiom,( 2.09/0.67 ! [X1 : $i > $o,X0 : $i > $o] : ((multiplication @ (sup @ X0) @ (sup @ X1)) = (sup @ (crossmult @ X0 @ X1)))), 2.09/0.67 file('/export/starexec/sandbox/tmp/tmp.b3fK9UzcoH/E---3.1_6089.p',multiplication_def)). 2.09/0.67 % SZS output end Proof for E---3.1_6089 2.09/0.67 % (6415)------------------------------ 2.09/0.67 % (6415)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.09/0.67 % (6415)Termination reason: Refutation 2.09/0.67 2.09/0.67 % (6415)Memory used [KB]: 6012 2.09/0.67 % (6415)Time elapsed: 0.058 s 2.09/0.67 % (6415)Instructions burned: 104 (million) 2.09/0.67 % (6415)------------------------------ 2.09/0.67 % (6415)------------------------------ 2.09/0.67 % (6317)Success in time 0.298 s 2.09/0.67 EOF