0.05/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.10 % Command : run_vampire %s %d THM 0.09/0.30 % Computer : n027.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 : 1440 0.09/0.30 % WCLimit : 180 0.09/0.30 % DateTime : Thu Jul 4 08:59:54 EDT 2024 0.09/0.30 % CPUTime : 0.09/0.31 This is a THF_ problem 0.15/0.31 Running higher-order theorem proving 0.15/0.32 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.2SyQXQcqvS/E---3.1_11195.p -m 16384 -t 180 0.15/0.33 % (11303)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_11195 for (1799ds/183Mi) 0.15/0.33 % (11304)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_11195 for (1799ds/4Mi) 0.15/0.33 % (11305)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_11195 for (1799ds/27Mi) 0.15/0.34 % (11307)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_11195 for (1799ds/2Mi) 0.15/0.34 % (11306)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_11195 for (1799ds/2Mi) 0.15/0.34 % (11308)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_11195 for (1799ds/275Mi) 0.15/0.34 % (11309)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_11195 for (1799ds/18Mi) 0.15/0.34 % (11307)Instruction limit reached! 0.15/0.34 % (11307)------------------------------ 0.15/0.34 % (11307)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.15/0.34 % (11307)Termination reason: Unknown 0.15/0.34 % (11307)Termination phase: Property scanning 0.15/0.34 0.15/0.34 % (11307)Memory used [KB]: 895 0.15/0.34 % (11307)Time elapsed: 0.002 s 0.15/0.34 % (11307)Instructions burned: 2 (million) 0.15/0.34 % (11307)------------------------------ 0.15/0.34 % (11307)------------------------------ 0.15/0.34 % (11306)Instruction limit reached! 0.15/0.34 % (11306)------------------------------ 0.15/0.34 % (11306)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.15/0.34 % (11306)Termination reason: Unknown 0.15/0.34 % (11306)Termination phase: Saturation 0.15/0.34 0.15/0.34 % (11306)Memory used [KB]: 5500 0.15/0.34 % (11306)Time elapsed: 0.003 s 0.15/0.34 % (11306)Instructions burned: 3 (million) 0.15/0.34 % (11306)------------------------------ 0.15/0.34 % (11306)------------------------------ 0.15/0.34 % (11304)Instruction limit reached! 0.15/0.34 % (11304)------------------------------ 0.15/0.34 % (11304)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.15/0.34 % (11304)Termination reason: Unknown 0.15/0.34 % (11304)Termination phase: Saturation 0.15/0.34 0.15/0.34 % (11304)Memory used [KB]: 5500 0.15/0.34 % (11304)Time elapsed: 0.005 s 0.15/0.34 % (11304)Instructions burned: 5 (million) 0.15/0.34 % (11304)------------------------------ 0.15/0.34 % (11304)------------------------------ 0.15/0.34 % (11309)Instruction limit reached! 0.15/0.34 % (11309)------------------------------ 0.15/0.34 % (11309)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.15/0.34 % (11309)Termination reason: Unknown 0.15/0.34 % (11309)Termination phase: Saturation 0.15/0.34 0.15/0.34 % (11309)Memory used [KB]: 5628 0.15/0.34 % (11309)Time elapsed: 0.011 s 0.15/0.34 % (11309)Instructions burned: 18 (million) 0.15/0.34 % (11309)------------------------------ 0.15/0.34 % (11309)------------------------------ 0.15/0.35 % (11305)Instruction limit reached! 0.15/0.35 % (11305)------------------------------ 0.15/0.35 % (11305)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.15/0.35 % (11305)Termination reason: Unknown 0.15/0.35 % (11305)Termination phase: Saturation 0.15/0.35 0.15/0.35 % (11305)Memory used [KB]: 5628 0.15/0.35 % (11305)Time elapsed: 0.016 s 0.15/0.35 % (11305)Instructions burned: 27 (million) 0.15/0.35 % (11305)------------------------------ 0.15/0.35 % (11305)------------------------------ 0.15/0.35 % (11310)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_11195 for (1799ds/3Mi) 0.15/0.35 % (11311)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_11195 for (1799ds/37Mi) 0.15/0.35 % (11312)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_11195 for (1799ds/15Mi) 0.15/0.35 % (11310)Instruction limit reached! 0.15/0.35 % (11310)------------------------------ 0.15/0.35 % (11310)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.15/0.35 % (11310)Termination reason: Unknown 0.15/0.35 % (11310)Termination phase: Saturation 0.15/0.35 0.15/0.35 % (11310)Memory used [KB]: 5500 0.15/0.35 % (11310)Time elapsed: 0.004 s 0.15/0.35 % (11310)Instructions burned: 3 (million) 0.15/0.35 % (11310)------------------------------ 0.15/0.35 % (11310)------------------------------ 0.15/0.36 % (11312)Instruction limit reached! 0.15/0.36 % (11312)------------------------------ 0.15/0.36 % (11312)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.15/0.36 % (11312)Termination reason: Unknown 0.15/0.36 % (11312)Termination phase: Saturation 0.15/0.36 0.15/0.36 % (11312)Memory used [KB]: 5500 0.15/0.36 % (11312)Time elapsed: 0.010 s 0.15/0.36 % (11312)Instructions burned: 15 (million) 0.15/0.36 % (11313)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_11195 for (1799ds/3Mi) 0.15/0.36 % (11312)------------------------------ 0.15/0.36 % (11312)------------------------------ 0.15/0.36 % (11313)Instruction limit reached! 0.15/0.36 % (11313)------------------------------ 0.15/0.36 % (11313)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.15/0.36 % (11313)Termination reason: Unknown 0.15/0.36 % (11313)Termination phase: Saturation 0.15/0.36 0.15/0.36 % (11313)Memory used [KB]: 5500 0.15/0.36 % (11313)Time elapsed: 0.003 s 0.15/0.36 % (11313)Instructions burned: 3 (million) 0.15/0.36 % (11313)------------------------------ 0.15/0.36 % (11313)------------------------------ 0.15/0.36 % (11314)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_11195 for (1799ds/1041Mi) 0.16/0.37 % (11315)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_11195 for (1799ds/7Mi) 0.16/0.37 % (11315)Instruction limit reached! 0.16/0.37 % (11315)------------------------------ 0.16/0.37 % (11315)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.37 % (11315)Termination reason: Unknown 0.16/0.37 % (11315)Termination phase: Saturation 0.16/0.37 0.16/0.37 % (11315)Memory used [KB]: 1023 0.16/0.37 % (11315)Time elapsed: 0.006 s 0.16/0.37 % (11315)Instructions burned: 7 (million) 0.16/0.37 % (11315)------------------------------ 0.16/0.37 % (11315)------------------------------ 0.16/0.37 % (11311)Instruction limit reached! 0.16/0.37 % (11311)------------------------------ 0.16/0.37 % (11311)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.37 % (11311)Termination reason: Unknown 0.16/0.37 % (11311)Termination phase: Saturation 0.16/0.37 0.16/0.37 % (11311)Memory used [KB]: 5628 0.16/0.37 % (11311)Time elapsed: 0.020 s 0.16/0.37 % (11311)Instructions burned: 37 (million) 0.16/0.37 % (11311)------------------------------ 0.16/0.37 % (11311)------------------------------ 0.16/0.37 % (11316)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_11195 for (1799ds/16Mi) 0.16/0.37 % (11317)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_11195 for (1799ds/3Mi) 0.16/0.38 % (11317)Instruction limit reached! 0.16/0.38 % (11317)------------------------------ 0.16/0.38 % (11317)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.38 % (11317)Termination reason: Unknown 0.16/0.38 % (11317)Termination phase: Saturation 0.16/0.38 0.16/0.38 % (11317)Memory used [KB]: 5500 0.16/0.38 % (11317)Time elapsed: 0.004 s 0.16/0.38 % (11317)Instructions burned: 3 (million) 0.16/0.38 % (11317)------------------------------ 0.16/0.38 % (11317)------------------------------ 0.16/0.38 % (11316)Instruction limit reached! 0.16/0.38 % (11316)------------------------------ 0.16/0.38 % (11316)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.38 % (11319)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_11195 for (1799ds/7Mi) 0.16/0.38 % (11318)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_11195 for (1799ds/3Mi) 0.16/0.38 % (11316)Termination reason: Unknown 0.16/0.38 % (11316)Termination phase: Saturation 0.16/0.38 0.16/0.38 % (11316)Memory used [KB]: 5884 0.16/0.38 % (11316)Time elapsed: 0.012 s 0.16/0.38 % (11316)Instructions burned: 17 (million) 0.16/0.38 % (11316)------------------------------ 0.16/0.38 % (11316)------------------------------ 0.16/0.38 % (11319)Refutation not found, incomplete strategy 0.16/0.38 % (11319)------------------------------ 0.16/0.38 % (11319)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.38 % (11319)Termination reason: Refutation not found, incomplete strategy 0.16/0.38 0.16/0.38 0.16/0.38 % (11319)Memory used [KB]: 5500 0.16/0.38 % (11319)Time elapsed: 0.003 s 0.16/0.38 % (11319)Instructions burned: 2 (million) 0.16/0.38 % (11319)------------------------------ 0.16/0.38 % (11319)------------------------------ 0.16/0.38 % (11318)Instruction limit reached! 0.16/0.38 % (11318)------------------------------ 0.16/0.38 % (11318)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.38 % (11318)Termination reason: Unknown 0.16/0.38 % (11318)Termination phase: Saturation 0.16/0.38 0.16/0.38 % (11318)Memory used [KB]: 1023 0.16/0.38 % (11318)Time elapsed: 0.004 s 0.16/0.38 % (11318)Instructions burned: 3 (million) 0.16/0.38 % (11318)------------------------------ 0.16/0.38 % (11318)------------------------------ 0.16/0.39 % (11320)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_11195 for (1799ds/3Mi) 0.16/0.39 % (11320)Instruction limit reached! 0.16/0.39 % (11320)------------------------------ 0.16/0.39 % (11320)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.39 % (11320)Termination reason: Unknown 0.16/0.39 % (11320)Termination phase: Saturation 0.16/0.39 0.16/0.39 % (11320)Memory used [KB]: 5500 0.16/0.39 % (11320)Time elapsed: 0.004 s 0.16/0.39 % (11320)Instructions burned: 3 (million) 0.16/0.39 % (11320)------------------------------ 0.16/0.39 % (11320)------------------------------ 0.16/0.40 % (11321)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_11195 for (1799ds/4Mi) 0.16/0.40 % (11322)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_11195 for (1799ds/18Mi) 0.16/0.40 % (11323)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_11195 for (1799ds/710Mi) 0.16/0.40 % (11321)Instruction limit reached! 0.16/0.40 % (11321)------------------------------ 0.16/0.40 % (11321)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.40 % (11321)Termination reason: Unknown 0.16/0.40 % (11321)Termination phase: Saturation 0.16/0.40 0.16/0.40 % (11321)Memory used [KB]: 5500 0.16/0.40 % (11321)Time elapsed: 0.004 s 0.16/0.40 % (11321)Instructions burned: 4 (million) 0.16/0.40 % (11321)------------------------------ 0.16/0.40 % (11321)------------------------------ 0.16/0.41 % (11324)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_11195 for (1799ds/6Mi) 0.16/0.41 % (11322)Instruction limit reached! 0.16/0.41 % (11322)------------------------------ 0.16/0.41 % (11322)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.41 % (11322)Termination reason: Unknown 0.16/0.41 % (11322)Termination phase: Saturation 0.16/0.41 0.16/0.41 % (11322)Memory used [KB]: 5628 0.16/0.41 % (11322)Time elapsed: 0.012 s 0.16/0.41 % (11322)Instructions burned: 19 (million) 0.16/0.41 % (11322)------------------------------ 0.16/0.41 % (11322)------------------------------ 0.16/0.41 % (11324)Instruction limit reached! 0.16/0.41 % (11324)------------------------------ 0.16/0.41 % (11324)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.41 % (11324)Termination reason: Unknown 0.16/0.41 % (11324)Termination phase: Saturation 0.16/0.41 0.16/0.41 % (11324)Memory used [KB]: 5500 0.16/0.41 % (11324)Time elapsed: 0.006 s 0.16/0.41 % (11324)Instructions burned: 6 (million) 0.16/0.41 % (11324)------------------------------ 0.16/0.41 % (11324)------------------------------ 0.16/0.41 % (11303)Instruction limit reached! 0.16/0.41 % (11303)------------------------------ 0.16/0.41 % (11303)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.41 % (11303)Termination reason: Unknown 0.16/0.41 % (11303)Termination phase: Saturation 0.16/0.41 0.16/0.41 % (11303)Memory used [KB]: 5884 0.16/0.41 % (11303)Time elapsed: 0.079 s 0.16/0.41 % (11303)Instructions burned: 183 (million) 0.16/0.41 % (11303)------------------------------ 0.16/0.41 % (11303)------------------------------ 0.16/0.41 % (11325)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_11195 for (1799ds/902Mi) 0.16/0.42 % (11326)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_11195 for (1799ds/21Mi) 0.16/0.42 % (11327)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_11195 for (1799ds/5Mi) 0.16/0.42 % (11328)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_11195 for (1799ds/6Mi) 0.16/0.43 % (11327)Instruction limit reached! 0.16/0.43 % (11327)------------------------------ 0.16/0.43 % (11327)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.43 % (11327)Termination reason: Unknown 0.16/0.43 % (11327)Termination phase: Saturation 0.16/0.43 0.16/0.43 % (11327)Memory used [KB]: 5500 0.16/0.43 % (11327)Time elapsed: 0.005 s 0.16/0.43 % (11327)Instructions burned: 6 (million) 0.16/0.43 % (11327)------------------------------ 0.16/0.43 % (11327)------------------------------ 0.16/0.43 % (11328)Instruction limit reached! 0.16/0.43 % (11328)------------------------------ 0.16/0.43 % (11328)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.43 % (11328)Termination reason: Unknown 0.16/0.43 % (11328)Termination phase: Saturation 0.16/0.43 0.16/0.43 % (11328)Memory used [KB]: 5500 0.16/0.43 % (11328)Time elapsed: 0.005 s 0.16/0.43 % (11328)Instructions burned: 7 (million) 0.16/0.43 % (11328)------------------------------ 0.16/0.43 % (11328)------------------------------ 0.16/0.43 % (11326)Instruction limit reached! 0.16/0.43 % (11326)------------------------------ 0.16/0.43 % (11326)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.43 % (11326)Termination reason: Unknown 0.16/0.43 % (11326)Termination phase: Saturation 0.16/0.43 0.16/0.43 % (11326)Memory used [KB]: 5628 0.16/0.43 % (11326)Time elapsed: 0.014 s 0.16/0.43 % (11326)Instructions burned: 22 (million) 0.16/0.43 % (11326)------------------------------ 0.16/0.43 % (11326)------------------------------ 0.16/0.44 % (11329)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_11195 for (1799ds/377Mi) 0.16/0.44 % (11330)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_11195 for (1799ds/779Mi) 0.16/0.45 % (11331)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_11195 for (1798ds/19Mi) 0.16/0.45 % (11331)Refutation not found, incomplete strategy 0.16/0.45 % (11331)------------------------------ 0.16/0.45 % (11331)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.45 % (11331)Termination reason: Refutation not found, incomplete strategy 0.16/0.45 0.16/0.45 0.16/0.45 % (11331)Memory used [KB]: 5500 0.16/0.45 % (11331)Time elapsed: 0.005 s 0.16/0.45 % (11331)Instructions burned: 5 (million) 0.16/0.45 % (11331)------------------------------ 0.16/0.45 % (11331)------------------------------ 0.16/0.46 % (11308)Instruction limit reached! 0.16/0.46 % (11308)------------------------------ 0.16/0.46 % (11308)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.46 % (11308)Termination reason: Unknown 0.16/0.46 % (11308)Termination phase: Saturation 0.16/0.46 0.16/0.46 % (11308)Memory used [KB]: 5884 0.16/0.46 % (11308)Time elapsed: 0.130 s 0.16/0.46 % (11308)Instructions burned: 275 (million) 0.16/0.46 % (11308)------------------------------ 0.16/0.46 % (11308)------------------------------ 0.16/0.47 % (11332)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_11195 for (1798ds/879Mi) 0.16/0.48 % (11333)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_11195 for (1798ds/17Mi) 0.16/0.49 % (11333)Instruction limit reached! 0.16/0.49 % (11333)------------------------------ 0.16/0.49 % (11333)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.49 % (11333)Termination reason: Unknown 0.16/0.49 % (11333)Termination phase: Saturation 0.16/0.49 0.16/0.49 % (11333)Memory used [KB]: 5628 0.16/0.49 % (11333)Time elapsed: 0.011 s 0.16/0.49 % (11333)Instructions burned: 18 (million) 0.16/0.49 % (11333)------------------------------ 0.16/0.49 % (11333)------------------------------ 0.16/0.50 % (11334)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_11195 for (1798ds/3Mi) 0.16/0.50 % (11334)Instruction limit reached! 0.16/0.50 % (11334)------------------------------ 0.16/0.50 % (11334)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.50 % (11334)Termination reason: Unknown 0.16/0.50 % (11334)Termination phase: Saturation 0.16/0.50 0.16/0.50 % (11334)Memory used [KB]: 1023 0.16/0.50 % (11334)Time elapsed: 0.004 s 0.16/0.50 % (11334)Instructions burned: 3 (million) 0.16/0.50 % (11334)------------------------------ 0.16/0.50 % (11334)------------------------------ 0.16/0.52 % (11335)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_11195 for (1798ds/30Mi) 0.16/0.52 % (11335)Refutation not found, incomplete strategy 0.16/0.52 % (11335)------------------------------ 0.16/0.52 % (11335)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.16/0.52 % (11335)Termination reason: Refutation not found, incomplete strategy 0.16/0.52 0.16/0.52 0.16/0.52 % (11335)Memory used [KB]: 5500 0.16/0.52 % (11335)Time elapsed: 0.003 s 0.16/0.52 % (11335)Instructions burned: 2 (million) 0.16/0.52 % (11335)------------------------------ 0.16/0.52 % (11335)------------------------------ 0.16/0.53 % (11336)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_11195 for (1798ds/127Mi) 1.75/0.60 % (11336)Instruction limit reached! 1.75/0.60 % (11336)------------------------------ 1.75/0.60 % (11336)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.75/0.60 % (11336)Termination reason: Unknown 1.75/0.60 % (11336)Termination phase: Saturation 1.75/0.60 1.75/0.60 % (11336)Memory used [KB]: 5884 1.75/0.60 % (11336)Time elapsed: 0.063 s 1.75/0.60 % (11336)Instructions burned: 128 (million) 1.75/0.60 % (11336)------------------------------ 1.75/0.60 % (11336)------------------------------ 1.75/0.61 % (11337)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_11195 for (1797ds/100Mi) 1.75/0.61 % (11329)Instruction limit reached! 1.75/0.61 % (11329)------------------------------ 1.75/0.61 % (11329)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.75/0.61 % (11329)Termination reason: Unknown 1.75/0.61 % (11329)Termination phase: Saturation 1.75/0.61 1.75/0.61 % (11329)Memory used [KB]: 6140 1.75/0.61 % (11329)Time elapsed: 0.176 s 1.75/0.61 % (11329)Instructions burned: 377 (million) 1.75/0.61 % (11329)------------------------------ 1.75/0.61 % (11329)------------------------------ 1.75/0.63 % (11338)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_11195 for (1797ds/3Mi) 2.21/0.63 % (11338)Instruction limit reached! 2.21/0.63 % (11338)------------------------------ 2.21/0.63 % (11338)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.21/0.63 % (11338)Termination reason: Unknown 2.21/0.63 % (11338)Termination phase: Saturation 2.21/0.63 2.21/0.63 % (11338)Memory used [KB]: 5500 2.21/0.63 % (11338)Time elapsed: 0.004 s 2.21/0.63 % (11338)Instructions burned: 4 (million) 2.21/0.63 % (11338)------------------------------ 2.21/0.63 % (11338)------------------------------ 2.21/0.64 % (11339)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_11195 for (1796ds/20Mi) 2.21/0.65 % (11339)Instruction limit reached! 2.21/0.65 % (11339)------------------------------ 2.21/0.65 % (11339)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.21/0.65 % (11339)Termination reason: Unknown 2.21/0.65 % (11339)Termination phase: Saturation 2.21/0.65 2.21/0.65 % (11339)Memory used [KB]: 5628 2.21/0.65 % (11339)Time elapsed: 0.013 s 2.21/0.65 % (11339)Instructions burned: 21 (million) 2.21/0.65 % (11339)------------------------------ 2.21/0.65 % (11339)------------------------------ 2.21/0.66 % (11337)Instruction limit reached! 2.21/0.66 % (11337)------------------------------ 2.21/0.66 % (11337)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.21/0.66 % (11337)Termination reason: Unknown 2.21/0.66 % (11337)Termination phase: Saturation 2.21/0.66 2.21/0.66 % (11337)Memory used [KB]: 5756 2.21/0.66 % (11337)Time elapsed: 0.050 s 2.21/0.66 % (11337)Instructions burned: 100 (million) 2.21/0.66 % (11337)------------------------------ 2.21/0.66 % (11337)------------------------------ 2.49/0.67 % (11340)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_11195 for (1796ds/86Mi) 2.49/0.67 % (11341)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_11195 for (1796ds/107Mi) 2.49/0.71 % (11340)Instruction limit reached! 2.49/0.71 % (11340)------------------------------ 2.49/0.71 % (11340)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.49/0.71 % (11340)Termination reason: Unknown 2.49/0.71 % (11340)Termination phase: Saturation 2.49/0.71 2.49/0.71 % (11340)Memory used [KB]: 5756 2.49/0.71 % (11340)Time elapsed: 0.045 s 2.49/0.71 % (11340)Instructions burned: 86 (million) 2.49/0.71 % (11340)------------------------------ 2.49/0.71 % (11340)------------------------------ 2.49/0.72 % (11341)Instruction limit reached! 2.49/0.72 % (11341)------------------------------ 2.49/0.72 % (11341)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.49/0.72 % (11341)Termination reason: Unknown 2.49/0.72 % (11341)Termination phase: Saturation 2.49/0.72 2.49/0.72 % (11341)Memory used [KB]: 5756 2.49/0.72 % (11341)Time elapsed: 0.054 s 2.49/0.72 % (11341)Instructions burned: 107 (million) 2.49/0.72 % (11341)------------------------------ 2.49/0.72 % (11341)------------------------------ 2.49/0.73 % (11342)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_11195 for (1796ds/39Mi) 2.94/0.74 % (11343)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_11195 for (1796ds/448Mi) 2.94/0.74 % (11343)Refutation not found, incomplete strategy 2.94/0.74 % (11343)------------------------------ 2.94/0.74 % (11343)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.94/0.74 % (11343)Termination reason: Refutation not found, incomplete strategy 2.94/0.74 2.94/0.74 2.94/0.74 % (11343)Memory used [KB]: 5500 2.94/0.74 % (11343)Time elapsed: 0.004 s 2.94/0.74 % (11343)Instructions burned: 3 (million) 2.94/0.74 % (11343)------------------------------ 2.94/0.74 % (11343)------------------------------ 2.94/0.74 % (11342)First to succeed. 2.94/0.75 % (11342)Refutation found. Thanks to Tanya! 2.94/0.75 % SZS status Theorem for E---3.1_11195 2.94/0.75 % SZS output start Proof for E---3.1_11195 2.94/0.75 thf(type_def_5, type, n: $tType). 2.94/0.75 thf(func_def_0, type, n: $tType). 2.94/0.75 thf(func_def_1, type, c0: n). 2.94/0.75 thf(func_def_2, type, cS: n > n). 2.94/0.75 thf(func_def_3, type, c_plus: n > n > n). 2.94/0.75 thf(func_def_20, type, ph1: !>[X0: $tType]:(X0)). 2.94/0.75 thf(func_def_21, type, sK2: n). 2.94/0.75 thf(func_def_22, type, sK3: n). 2.94/0.75 thf(f122,plain,( 2.94/0.75 $false), 2.94/0.75 inference(trivial_inequality_removal,[],[f121])). 2.94/0.75 thf(f121,plain,( 2.94/0.75 ($false = $true)), 2.94/0.75 inference(boolean_simplification,[],[f119])). 2.94/0.75 thf(f119,plain,( 2.94/0.75 ($false = ((cS @ sK3) = (cS @ sK3)))), 2.94/0.75 inference(backward_demodulation,[],[f109,f110])). 2.94/0.75 thf(f110,plain,( 2.94/0.75 ((c_plus @ c0 @ sK3) = sK3)), 2.94/0.75 inference(equality_proxy_clausification,[],[f107])). 2.94/0.75 thf(f107,plain,( 2.94/0.75 (((c_plus @ c0 @ sK3) = sK3) = $true)), 2.94/0.75 inference(binary_proxy_clausification,[],[f105])). 2.94/0.75 thf(f105,plain,( 2.94/0.75 ($false = (((c_plus @ c0 @ sK3) = sK3) => ((cS @ (c_plus @ c0 @ sK3)) = (cS @ sK3))))), 2.94/0.75 inference(forward_demodulation,[],[f104,f37])). 2.94/0.75 thf(f37,plain,( 2.94/0.75 ( ! [X1 : n] : (((c_plus @ X1 @ c0) = X1)) )), 2.94/0.75 inference(equality_proxy_clausification,[],[f36])). 2.94/0.75 thf(f36,plain,( 2.94/0.75 ( ! [X1 : n] : ((((c_plus @ X1 @ c0) = X1) = $true)) )), 2.94/0.75 inference(beta_eta_normalization,[],[f35])). 2.94/0.75 thf(f35,plain,( 2.94/0.75 ( ! [X1 : n] : (($true = ((^[Y0 : n]: ((c_plus @ Y0 @ c0) = Y0)) @ X1))) )), 2.94/0.75 inference(pi_clausification,[],[f31])). 2.94/0.75 thf(f31,plain,( 2.94/0.75 ((!! @ n @ (^[Y0 : n]: ((c_plus @ Y0 @ c0) = Y0))) = $true)), 2.94/0.75 inference(binary_proxy_clausification,[],[f23])). 2.94/0.75 thf(f23,plain,( 2.94/0.75 ($true = (((!! @ (n > n) @ (^[Y0 : n > n]: (!! @ (n > n) @ (^[Y1 : n > n]: (((!! @ n @ (^[Y2 : n]: (((Y0 @ Y2) = (Y1 @ Y2)) => ((Y0 @ (cS @ Y2)) = (Y1 @ (cS @ Y2)))))) & ((Y1 @ c0) = (Y0 @ c0))) => (!! @ n @ (^[Y2 : n]: ((Y1 @ Y2) = (Y0 @ Y2))))))))) & (!! @ n @ (^[Y0 : n]: (!! @ n @ (^[Y1 : n]: ((cS @ (c_plus @ Y0 @ Y1)) = (c_plus @ Y0 @ (cS @ Y1)))))))) & (!! @ n @ (^[Y0 : n]: ((c_plus @ Y0 @ c0) = Y0)))))), 2.94/0.75 inference(binary_proxy_clausification,[],[f19])). 2.94/0.75 thf(f19,plain,( 2.94/0.75 ($false = ((((!! @ (n > n) @ (^[Y0 : n > n]: (!! @ (n > n) @ (^[Y1 : n > n]: (((!! @ n @ (^[Y2 : n]: (((Y0 @ Y2) = (Y1 @ Y2)) => ((Y0 @ (cS @ Y2)) = (Y1 @ (cS @ Y2)))))) & ((Y1 @ c0) = (Y0 @ c0))) => (!! @ n @ (^[Y2 : n]: ((Y1 @ Y2) = (Y0 @ Y2))))))))) & (!! @ n @ (^[Y0 : n]: (!! @ n @ (^[Y1 : n]: ((cS @ (c_plus @ Y0 @ Y1)) = (c_plus @ Y0 @ (cS @ Y1)))))))) & (!! @ n @ (^[Y0 : n]: ((c_plus @ Y0 @ c0) = Y0)))) => (!! @ n @ (^[Y0 : n]: ((c_plus @ Y0 @ c0) = (c_plus @ c0 @ Y0))))))), 2.94/0.75 inference(not_proxy_clausification,[],[f18])). 2.94/0.75 thf(f18,plain,( 2.94/0.75 ((~ ((((!! @ (n > n) @ (^[Y0 : n > n]: (!! @ (n > n) @ (^[Y1 : n > n]: (((!! @ n @ (^[Y2 : n]: (((Y0 @ Y2) = (Y1 @ Y2)) => ((Y0 @ (cS @ Y2)) = (Y1 @ (cS @ Y2)))))) & ((Y1 @ c0) = (Y0 @ c0))) => (!! @ n @ (^[Y2 : n]: ((Y1 @ Y2) = (Y0 @ Y2))))))))) & (!! @ n @ (^[Y0 : n]: (!! @ n @ (^[Y1 : n]: ((cS @ (c_plus @ Y0 @ Y1)) = (c_plus @ Y0 @ (cS @ Y1)))))))) & (!! @ n @ (^[Y0 : n]: ((c_plus @ Y0 @ c0) = Y0)))) => (!! @ n @ (^[Y0 : n]: ((c_plus @ Y0 @ c0) = (c_plus @ c0 @ Y0)))))) = $true)), 2.94/0.75 inference(definition_unfolding,[],[f16,f17,f14,f15])). 2.94/0.75 thf(f15,plain,( 2.94/0.75 (cPA_1 = (!! @ n @ (^[Y0 : n]: ((c_plus @ Y0 @ c0) = Y0))))), 2.94/0.75 inference(cnf_transformation,[],[f13])). 2.94/0.75 thf(f13,plain,( 2.94/0.75 (cPA_1 = (!! @ n @ (^[Y0 : n]: ((c_plus @ Y0 @ c0) = Y0))))), 2.94/0.75 inference(fool_elimination,[],[f1])). 2.94/0.75 thf(f1,axiom,( 2.94/0.75 (cPA_1 = ! [X0 : n] : ((c_plus @ X0 @ c0) = X0))), 2.94/0.75 file('/export/starexec/sandbox2/tmp/tmp.2SyQXQcqvS/E---3.1_11195.p',cPA_1_def)). 2.94/0.75 thf(f14,plain,( 2.94/0.75 (cPA_2 = (!! @ n @ (^[Y0 : n]: (!! @ n @ (^[Y1 : n]: ((cS @ (c_plus @ Y0 @ Y1)) = (c_plus @ Y0 @ (cS @ Y1))))))))), 2.94/0.75 inference(cnf_transformation,[],[f12])). 2.94/0.75 thf(f12,plain,( 2.94/0.75 (cPA_2 = (!! @ n @ (^[Y0 : n]: (!! @ n @ (^[Y1 : n]: ((cS @ (c_plus @ Y0 @ Y1)) = (c_plus @ Y0 @ (cS @ Y1))))))))), 2.94/0.75 inference(fool_elimination,[],[f11])). 2.94/0.75 thf(f11,plain,( 2.94/0.75 (cPA_2 = ! [X0 : n,X1 : n] : ((cS @ (c_plus @ X1 @ X0)) = (c_plus @ X1 @ (cS @ X0))))), 2.94/0.75 inference(rectify,[],[f2])). 2.94/0.75 thf(f2,axiom,( 2.94/0.75 (cPA_2 = ! [X1 : n,X0 : n] : ((c_plus @ X0 @ (cS @ X1)) = (cS @ (c_plus @ X0 @ X1))))), 2.94/0.75 file('/export/starexec/sandbox2/tmp/tmp.2SyQXQcqvS/E---3.1_11195.p',cPA_2_def)). 2.94/0.75 thf(f17,plain,( 2.94/0.75 (cPA_IND_EQ = (!! @ (n > n) @ (^[Y0 : n > n]: (!! @ (n > n) @ (^[Y1 : n > n]: (((!! @ n @ (^[Y2 : n]: (((Y0 @ Y2) = (Y1 @ Y2)) => ((Y0 @ (cS @ Y2)) = (Y1 @ (cS @ Y2)))))) & ((Y1 @ c0) = (Y0 @ c0))) => (!! @ n @ (^[Y2 : n]: ((Y1 @ Y2) = (Y0 @ Y2))))))))))), 2.94/0.75 inference(cnf_transformation,[],[f10])). 2.94/0.75 thf(f10,plain,( 2.94/0.75 (cPA_IND_EQ = (!! @ (n > n) @ (^[Y0 : n > n]: (!! @ (n > n) @ (^[Y1 : n > n]: (((!! @ n @ (^[Y2 : n]: (((Y0 @ Y2) = (Y1 @ Y2)) => ((Y0 @ (cS @ Y2)) = (Y1 @ (cS @ Y2)))))) & ((Y1 @ c0) = (Y0 @ c0))) => (!! @ n @ (^[Y2 : n]: ((Y1 @ Y2) = (Y0 @ Y2))))))))))), 2.94/0.75 inference(fool_elimination,[],[f9])). 2.94/0.75 thf(f9,plain,( 2.94/0.75 (cPA_IND_EQ = ! [X0 : n > n,X1 : n > n] : ((((X0 @ c0) = (X1 @ c0)) & ! [X2 : n] : (((X1 @ X2) = (X0 @ X2)) => ((X1 @ (cS @ X2)) = (X0 @ (cS @ X2))))) => ! [X3 : n] : ((X0 @ X3) = (X1 @ X3))))), 2.94/0.75 inference(rectify,[],[f3])). 2.94/0.75 thf(f3,axiom,( 2.94/0.75 (cPA_IND_EQ = ! [X3 : n > n,X2 : n > n] : ((((X2 @ c0) = (X3 @ c0)) & ! [X0 : n] : (((X2 @ X0) = (X3 @ X0)) => ((X2 @ (cS @ X0)) = (X3 @ (cS @ X0))))) => ! [X0 : n] : ((X2 @ X0) = (X3 @ X0))))), 2.94/0.75 file('/export/starexec/sandbox2/tmp/tmp.2SyQXQcqvS/E---3.1_11195.p',cPA_IND_EQ_def)). 2.94/0.75 thf(f16,plain,( 2.94/0.75 ((~ (((cPA_IND_EQ & cPA_2) & cPA_1) => (!! @ n @ (^[Y0 : n]: ((c_plus @ Y0 @ c0) = (c_plus @ c0 @ Y0)))))) = $true)), 2.94/0.75 inference(cnf_transformation,[],[f8])). 2.94/0.75 thf(f8,plain,( 2.94/0.75 ((~ (((cPA_IND_EQ & cPA_2) & cPA_1) => (!! @ n @ (^[Y0 : n]: ((c_plus @ Y0 @ c0) = (c_plus @ c0 @ Y0)))))) = $true)), 2.94/0.75 inference(fool_elimination,[],[f7])). 2.94/0.75 thf(f7,plain,( 2.94/0.75 ~((cPA_1 & cPA_2 & cPA_IND_EQ) => ! [X0 : n] : ((c_plus @ X0 @ c0) = (c_plus @ c0 @ X0)))), 2.94/0.75 inference(rectify,[],[f5])). 2.94/0.75 thf(f5,negated_conjecture,( 2.94/0.75 ~((cPA_1 & cPA_2 & cPA_IND_EQ) => ! [X0 : n] : ((c_plus @ X0 @ c0) = (c_plus @ c0 @ X0)))), 2.94/0.75 inference(negated_conjecture,[],[f4])). 2.94/0.75 thf(f4,conjecture,( 2.94/0.75 (cPA_1 & cPA_2 & cPA_IND_EQ) => ! [X0 : n] : ((c_plus @ X0 @ c0) = (c_plus @ c0 @ X0))), 2.94/0.75 file('/export/starexec/sandbox2/tmp/tmp.2SyQXQcqvS/E---3.1_11195.p',cPA_THM2)). 2.94/0.75 thf(f104,plain,( 2.94/0.75 ($false = (((c_plus @ c0 @ sK3) = sK3) => ((cS @ (c_plus @ c0 @ sK3)) = (c_plus @ (cS @ sK3) @ c0))))), 2.94/0.75 inference(forward_demodulation,[],[f103,f51])). 2.94/0.75 thf(f51,plain,( 2.94/0.75 ( ! [X2 : n,X1 : n] : (((cS @ (c_plus @ X1 @ X2)) = (c_plus @ X1 @ (cS @ X2)))) )), 2.94/0.75 inference(equality_proxy_clausification,[],[f50])). 2.94/0.75 thf(f50,plain,( 2.94/0.75 ( ! [X2 : n,X1 : n] : ((((cS @ (c_plus @ X1 @ X2)) = (c_plus @ X1 @ (cS @ X2))) = $true)) )), 2.94/0.75 inference(beta_eta_normalization,[],[f49])). 2.94/0.75 thf(f49,plain,( 2.94/0.75 ( ! [X2 : n,X1 : n] : ((((^[Y0 : n]: ((cS @ (c_plus @ X1 @ Y0)) = (c_plus @ X1 @ (cS @ Y0)))) @ X2) = $true)) )), 2.94/0.75 inference(pi_clausification,[],[f48])). 2.94/0.75 thf(f48,plain,( 2.94/0.75 ( ! [X1 : n] : (($true = (!! @ n @ (^[Y0 : n]: ((cS @ (c_plus @ X1 @ Y0)) = (c_plus @ X1 @ (cS @ Y0))))))) )), 2.94/0.75 inference(beta_eta_normalization,[],[f47])). 2.94/0.75 thf(f47,plain,( 2.94/0.75 ( ! [X1 : n] : ((((^[Y0 : n]: (!! @ n @ (^[Y1 : n]: ((cS @ (c_plus @ Y0 @ Y1)) = (c_plus @ Y0 @ (cS @ Y1)))))) @ X1) = $true)) )), 2.94/0.75 inference(pi_clausification,[],[f46])). 2.94/0.75 thf(f46,plain,( 2.94/0.75 ((!! @ n @ (^[Y0 : n]: (!! @ n @ (^[Y1 : n]: ((cS @ (c_plus @ Y0 @ Y1)) = (c_plus @ Y0 @ (cS @ Y1))))))) = $true)), 2.94/0.75 inference(boolean_simplification,[],[f45])). 2.94/0.75 thf(f45,plain,( 2.94/0.75 (($true & (!! @ n @ (^[Y0 : n]: (!! @ n @ (^[Y1 : n]: ((cS @ (c_plus @ Y0 @ Y1)) = (c_plus @ Y0 @ (cS @ Y1)))))))) = $true)), 2.94/0.75 inference(backward_demodulation,[],[f34,f44])). 2.94/0.75 thf(f44,plain,( 2.94/0.75 ($true = (!! @ (n > n) @ (^[Y0 : n > n]: (!! @ (n > n) @ (^[Y1 : n > n]: (((!! @ n @ (^[Y2 : n]: (((Y0 @ Y2) = (Y1 @ Y2)) => ((Y0 @ (cS @ Y2)) = (Y1 @ (cS @ Y2)))))) & ((Y1 @ c0) = (Y0 @ c0))) => (!! @ n @ (^[Y2 : n]: ((Y1 @ Y2) = (Y0 @ Y2))))))))))), 2.94/0.75 inference(binary_proxy_clausification,[],[f34])). 2.94/0.75 thf(f34,plain,( 2.94/0.75 ($true = ((!! @ (n > n) @ (^[Y0 : n > n]: (!! @ (n > n) @ (^[Y1 : n > n]: (((!! @ n @ (^[Y2 : n]: (((Y0 @ Y2) = (Y1 @ Y2)) => ((Y0 @ (cS @ Y2)) = (Y1 @ (cS @ Y2)))))) & ((Y1 @ c0) = (Y0 @ c0))) => (!! @ n @ (^[Y2 : n]: ((Y1 @ Y2) = (Y0 @ Y2))))))))) & (!! @ n @ (^[Y0 : n]: (!! @ n @ (^[Y1 : n]: ((cS @ (c_plus @ Y0 @ Y1)) = (c_plus @ Y0 @ (cS @ Y1)))))))))), 2.94/0.75 inference(boolean_simplification,[],[f33])). 2.94/0.75 thf(f33,plain,( 2.94/0.75 ((((!! @ (n > n) @ (^[Y0 : n > n]: (!! @ (n > n) @ (^[Y1 : n > n]: (((!! @ n @ (^[Y2 : n]: (((Y0 @ Y2) = (Y1 @ Y2)) => ((Y0 @ (cS @ Y2)) = (Y1 @ (cS @ Y2)))))) & ((Y1 @ c0) = (Y0 @ c0))) => (!! @ n @ (^[Y2 : n]: ((Y1 @ Y2) = (Y0 @ Y2))))))))) & (!! @ n @ (^[Y0 : n]: (!! @ n @ (^[Y1 : n]: ((cS @ (c_plus @ Y0 @ Y1)) = (c_plus @ Y0 @ (cS @ Y1)))))))) & $true) = $true)), 2.94/0.75 inference(backward_demodulation,[],[f23,f31])). 2.94/0.75 thf(f103,plain,( 2.94/0.75 ($false = (((c_plus @ c0 @ sK3) = sK3) => ((c_plus @ c0 @ (cS @ sK3)) = (c_plus @ (cS @ sK3) @ c0))))), 2.94/0.75 inference(forward_demodulation,[],[f99,f37])). 2.94/0.75 thf(f99,plain,( 2.94/0.75 ($false = (((c_plus @ c0 @ sK3) = (c_plus @ sK3 @ c0)) => ((c_plus @ c0 @ (cS @ sK3)) = (c_plus @ (cS @ sK3) @ c0))))), 2.94/0.75 inference(beta_eta_normalization,[],[f97])). 2.94/0.75 thf(f97,plain,( 2.94/0.75 ($false = ((^[Y0 : n]: (((c_plus @ c0 @ Y0) = (c_plus @ Y0 @ c0)) => ((c_plus @ c0 @ (cS @ Y0)) = (c_plus @ (cS @ Y0) @ c0)))) @ sK3))), 2.94/0.75 inference(sigma_clausification,[],[f94])). 2.94/0.75 thf(f94,plain,( 2.94/0.75 ($false = (!! @ n @ (^[Y0 : n]: (((c_plus @ c0 @ Y0) = (c_plus @ Y0 @ c0)) => ((c_plus @ c0 @ (cS @ Y0)) = (c_plus @ (cS @ Y0) @ c0))))))), 2.94/0.75 inference(not_proxy_clausification,[],[f89])). 2.94/0.75 thf(f89,plain,( 2.94/0.75 ((~ (!! @ n @ (^[Y0 : n]: (((c_plus @ c0 @ Y0) = (c_plus @ Y0 @ c0)) => ((c_plus @ c0 @ (cS @ Y0)) = (c_plus @ (cS @ Y0) @ c0)))))) = $true)), 2.94/0.75 inference(boolean_simplification,[],[f88])). 2.94/0.75 thf(f88,plain,( 2.94/0.75 ($true = (~ ((!! @ n @ (^[Y0 : n]: (((c_plus @ c0 @ Y0) = (c_plus @ Y0 @ c0)) => ((c_plus @ c0 @ (cS @ Y0)) = (c_plus @ (cS @ Y0) @ c0))))) & $true)))), 2.94/0.75 inference(boolean_simplification,[],[f87])). 2.94/0.75 thf(f87,plain,( 2.94/0.75 ((~ ((!! @ n @ (^[Y0 : n]: (((c_plus @ c0 @ Y0) = (c_plus @ Y0 @ c0)) => ((c_plus @ c0 @ (cS @ Y0)) = (c_plus @ (cS @ Y0) @ c0))))) & ((c_plus @ c0 @ c0) = (c_plus @ c0 @ c0)))) = $true)), 2.94/0.75 inference(boolean_simplification,[],[f86])). 2.94/0.75 thf(f86,plain,( 2.94/0.75 ($true = (((!! @ n @ (^[Y0 : n]: (((c_plus @ c0 @ Y0) = (c_plus @ Y0 @ c0)) => ((c_plus @ c0 @ (cS @ Y0)) = (c_plus @ (cS @ Y0) @ c0))))) & ((c_plus @ c0 @ c0) = (c_plus @ c0 @ c0))) => $false))), 2.94/0.75 inference(beta_eta_normalization,[],[f65])). 2.94/0.75 thf(f65,plain,( 2.94/0.75 ((((!! @ n @ (^[Y0 : n]: ((((^[Y1 : n]: (c_plus @ c0 @ Y1)) @ Y0) = ((^[Y1 : n]: (c_plus @ Y1 @ c0)) @ Y0)) => (((^[Y1 : n]: (c_plus @ c0 @ Y1)) @ (cS @ Y0)) = ((^[Y1 : n]: (c_plus @ Y1 @ c0)) @ (cS @ Y0)))))) & (((^[Y0 : n]: (c_plus @ Y0 @ c0)) @ c0) = ((^[Y0 : n]: (c_plus @ c0 @ Y0)) @ c0))) => $false) = $true)), 2.94/0.75 inference(superposition,[],[f61,f22])). 2.94/0.75 thf(f22,plain,( 2.94/0.75 ($false = (!! @ n @ (^[Y0 : n]: ((c_plus @ Y0 @ c0) = (c_plus @ c0 @ Y0)))))), 2.94/0.75 inference(binary_proxy_clausification,[],[f19])). 2.94/0.75 thf(f61,plain,( 2.94/0.75 ( ! [X2 : n > n,X1 : n > n] : (($true = (((!! @ n @ (^[Y0 : n]: (((X1 @ Y0) = (X2 @ Y0)) => ((X1 @ (cS @ Y0)) = (X2 @ (cS @ Y0)))))) & ((X2 @ c0) = (X1 @ c0))) => (!! @ n @ (^[Y0 : n]: ((X2 @ Y0) = (X1 @ Y0))))))) )), 2.94/0.75 inference(beta_eta_normalization,[],[f60])). 2.94/0.75 thf(f60,plain,( 2.94/0.75 ( ! [X2 : n > n,X1 : n > n] : ((((^[Y0 : n > n]: (((!! @ n @ (^[Y1 : n]: (((X1 @ Y1) = (Y0 @ Y1)) => ((X1 @ (cS @ Y1)) = (Y0 @ (cS @ Y1)))))) & ((Y0 @ c0) = (X1 @ c0))) => (!! @ n @ (^[Y1 : n]: ((Y0 @ Y1) = (X1 @ Y1)))))) @ X2) = $true)) )), 2.94/0.75 inference(pi_clausification,[],[f59])). 2.94/0.75 thf(f59,plain,( 2.94/0.75 ( ! [X1 : n > n] : (((!! @ (n > n) @ (^[Y0 : n > n]: (((!! @ n @ (^[Y1 : n]: (((X1 @ Y1) = (Y0 @ Y1)) => ((X1 @ (cS @ Y1)) = (Y0 @ (cS @ Y1)))))) & ((Y0 @ c0) = (X1 @ c0))) => (!! @ n @ (^[Y1 : n]: ((Y0 @ Y1) = (X1 @ Y1))))))) = $true)) )), 2.94/0.75 inference(beta_eta_normalization,[],[f58])). 2.94/0.75 thf(f58,plain,( 2.94/0.75 ( ! [X1 : n > n] : (($true = ((^[Y0 : n > n]: (!! @ (n > n) @ (^[Y1 : n > n]: (((!! @ n @ (^[Y2 : n]: (((Y0 @ Y2) = (Y1 @ Y2)) => ((Y0 @ (cS @ Y2)) = (Y1 @ (cS @ Y2)))))) & ((Y1 @ c0) = (Y0 @ c0))) => (!! @ n @ (^[Y2 : n]: ((Y1 @ Y2) = (Y0 @ Y2)))))))) @ X1))) )), 2.94/0.75 inference(pi_clausification,[],[f44])). 2.94/0.75 thf(f109,plain,( 2.94/0.75 ($false = ((cS @ (c_plus @ c0 @ sK3)) = (cS @ sK3)))), 2.94/0.75 inference(boolean_simplification,[],[f108])). 2.94/0.75 thf(f108,plain,( 2.94/0.75 ($false = ($true => ((cS @ (c_plus @ c0 @ sK3)) = (cS @ sK3))))), 2.94/0.75 inference(backward_demodulation,[],[f105,f107])). 2.94/0.75 % SZS output end Proof for E---3.1_11195 2.94/0.75 % (11342)------------------------------ 2.94/0.75 % (11342)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.94/0.75 % (11342)Termination reason: Refutation 2.94/0.75 2.94/0.75 % (11342)Memory used [KB]: 5756 2.94/0.75 % (11342)Time elapsed: 0.021 s 2.94/0.75 % (11342)Instructions burned: 31 (million) 2.94/0.75 % (11342)------------------------------ 2.94/0.75 % (11342)------------------------------ 2.94/0.75 % (11302)Success in time 0.418 s 2.94/0.75 EOF