0.09/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.12 % Command : run_vampire %s %d THM 0.12/0.32 % Computer : n016.cluster.edu 0.12/0.32 % Model : x86_64 x86_64 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.32 % Memory : 8042.1875MB 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.32 % CPULimit : 1920 0.12/0.32 % WCLimit : 240 0.12/0.32 % DateTime : Wed Jul 30 05:49:04 EDT 2025 0.12/0.32 % CPUTime : 0.12/0.34 This is a THF_ problem 0.12/0.34 Running higher-order theorem proving 0.12/0.35 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.y43gJMyXlp/E---3.1_16569.p -m 16384 -t 240 0.12/0.37 % (16676)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_16569 for (2399ds/183Mi) 0.12/0.37 % (16677)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_16569 for (2399ds/4Mi) 0.12/0.37 % (16682)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_16569 for (2399ds/18Mi) 0.12/0.37 % (16678)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_16569 for (2399ds/27Mi) 0.12/0.37 % (16681)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_16569 for (2399ds/275Mi) 0.12/0.37 % (16680)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_16569 for (2399ds/2Mi) 0.12/0.37 % (16679)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_16569 for (2399ds/2Mi) 0.12/0.37 % (16679)Instruction limit reached! 0.12/0.37 % (16679)------------------------------ 0.12/0.37 % (16679)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.37 % (16680)Instruction limit reached! 0.12/0.37 % (16680)------------------------------ 0.12/0.37 % (16680)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.37 % (16680)Termination reason: Unknown 0.12/0.37 % (16680)Termination phase: Property scanning 0.12/0.37 0.12/0.37 % (16680)Memory used [KB]: 1023 0.12/0.37 % (16680)Time elapsed: 0.004 s 0.12/0.37 % (16680)Instructions burned: 3 (million) 0.12/0.37 % (16680)------------------------------ 0.12/0.37 % (16680)------------------------------ 0.12/0.37 % (16679)Termination reason: Unknown 0.12/0.37 % (16679)Termination phase: Clausification 0.12/0.37 0.12/0.37 % (16679)Memory used [KB]: 1023 0.12/0.37 % (16679)Time elapsed: 0.004 s 0.12/0.37 % (16679)Instructions burned: 2 (million) 0.12/0.37 % (16679)------------------------------ 0.12/0.37 % (16679)------------------------------ 0.12/0.37 % (16677)Instruction limit reached! 0.12/0.37 % (16677)------------------------------ 0.12/0.37 % (16677)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.37 % (16677)Termination reason: Unknown 0.12/0.37 % (16677)Termination phase: Saturation 0.12/0.37 0.12/0.37 % (16677)Memory used [KB]: 1023 0.12/0.37 % (16677)Time elapsed: 0.004 s 0.12/0.37 % (16677)Instructions burned: 4 (million) 0.12/0.37 % (16677)------------------------------ 0.12/0.37 % (16677)------------------------------ 0.12/0.38 % (16682)Instruction limit reached! 0.12/0.38 % (16682)------------------------------ 0.12/0.38 % (16682)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.39 % (16682)Termination reason: Unknown 0.12/0.39 % (16682)Termination phase: Saturation 0.12/0.39 0.12/0.39 % (16682)Memory used [KB]: 5628 0.12/0.39 % (16682)Time elapsed: 0.015 s 0.12/0.39 % (16682)Instructions burned: 18 (million) 0.12/0.39 % (16682)------------------------------ 0.12/0.39 % (16682)------------------------------ 0.12/0.39 % (16683)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_16569 for (2399ds/3Mi) 0.12/0.39 % (16684)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_16569 for (2399ds/37Mi) 0.12/0.39 % (16685)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_16569 for (2399ds/15Mi) 0.12/0.39 % (16678)Instruction limit reached! 0.12/0.39 % (16678)------------------------------ 0.12/0.39 % (16678)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.39 % (16678)Termination reason: Unknown 0.12/0.39 % (16678)Termination phase: Saturation 0.12/0.39 0.12/0.39 % (16678)Memory used [KB]: 5628 0.12/0.39 % (16678)Time elapsed: 0.021 s 0.12/0.39 % (16678)Instructions burned: 27 (million) 0.12/0.39 % (16678)------------------------------ 0.12/0.39 % (16678)------------------------------ 0.12/0.39 % (16683)Instruction limit reached! 0.12/0.39 % (16683)------------------------------ 0.12/0.39 % (16683)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.39 % (16683)Termination reason: Unknown 0.12/0.39 % (16683)Termination phase: Saturation 0.12/0.39 0.12/0.39 % (16683)Memory used [KB]: 5500 0.12/0.39 % (16683)Time elapsed: 0.004 s 0.12/0.39 % (16683)Instructions burned: 3 (million) 0.12/0.39 % (16683)------------------------------ 0.12/0.39 % (16683)------------------------------ 0.21/0.40 % (16686)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_16569 for (2399ds/3Mi) 0.21/0.40 % (16686)Instruction limit reached! 0.21/0.40 % (16686)------------------------------ 0.21/0.40 % (16686)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.40 % (16686)Termination reason: Unknown 0.21/0.40 % (16686)Termination phase: Saturation 0.21/0.40 0.21/0.40 % (16686)Memory used [KB]: 5500 0.21/0.40 % (16686)Time elapsed: 0.004 s 0.21/0.40 % (16686)Instructions burned: 3 (million) 0.21/0.40 % (16686)------------------------------ 0.21/0.40 % (16686)------------------------------ 0.21/0.41 % (16685)Instruction limit reached! 0.21/0.41 % (16685)------------------------------ 0.21/0.41 % (16685)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.41 % (16685)Termination reason: Unknown 0.21/0.41 % (16685)Termination phase: Saturation 0.21/0.41 0.21/0.41 % (16685)Memory used [KB]: 5628 0.21/0.41 % (16685)Time elapsed: 0.017 s 0.21/0.41 % (16685)Instructions burned: 15 (million) 0.21/0.41 % (16685)------------------------------ 0.21/0.41 % (16685)------------------------------ 0.21/0.41 % (16687)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_16569 for (2399ds/1041Mi) 0.21/0.41 % (16688)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_16569 for (2399ds/7Mi) 0.21/0.41 % (16688)Instruction limit reached! 0.21/0.41 % (16688)------------------------------ 0.21/0.41 % (16688)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.41 % (16688)Termination reason: Unknown 0.21/0.41 % (16688)Termination phase: Saturation 0.21/0.41 0.21/0.41 % (16688)Memory used [KB]: 1151 0.21/0.41 % (16688)Time elapsed: 0.007 s 0.21/0.41 % (16688)Instructions burned: 7 (million) 0.21/0.41 % (16688)------------------------------ 0.21/0.41 % (16688)------------------------------ 0.21/0.41 % (16684)Instruction limit reached! 0.21/0.41 % (16684)------------------------------ 0.21/0.41 % (16684)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.41 % (16684)Termination reason: Unknown 0.21/0.41 % (16684)Termination phase: Saturation 0.21/0.41 0.21/0.41 % (16684)Memory used [KB]: 6012 0.21/0.41 % (16684)Time elapsed: 0.025 s 0.21/0.41 % (16684)Instructions burned: 37 (million) 0.21/0.41 % (16684)------------------------------ 0.21/0.41 % (16684)------------------------------ 0.21/0.42 % (16689)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_16569 for (2399ds/16Mi) 0.21/0.42 % (16690)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_16569 for (2399ds/3Mi) 0.21/0.42 % (16690)Instruction limit reached! 0.21/0.42 % (16690)------------------------------ 0.21/0.42 % (16690)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.42 % (16690)Termination reason: Unknown 0.21/0.42 % (16690)Termination phase: Property scanning 0.21/0.42 0.21/0.42 % (16690)Memory used [KB]: 1023 0.21/0.42 % (16690)Time elapsed: 0.004 s 0.21/0.42 % (16690)Instructions burned: 4 (million) 0.21/0.42 % (16690)------------------------------ 0.21/0.42 % (16690)------------------------------ 0.21/0.43 % (16692)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_16569 for (2399ds/7Mi) 0.21/0.43 % (16691)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_16569 for (2399ds/3Mi) 0.21/0.43 % (16689)Instruction limit reached! 0.21/0.43 % (16689)------------------------------ 0.21/0.43 % (16689)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.43 % (16689)Termination reason: Unknown 0.21/0.43 % (16689)Termination phase: Saturation 0.21/0.43 0.21/0.43 % (16689)Memory used [KB]: 5756 0.21/0.43 % (16689)Time elapsed: 0.014 s 0.21/0.43 % (16689)Instructions burned: 17 (million) 0.21/0.43 % (16689)------------------------------ 0.21/0.43 % (16689)------------------------------ 0.21/0.43 % (16691)Instruction limit reached! 0.21/0.43 % (16691)------------------------------ 0.21/0.43 % (16691)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.43 % (16691)Termination reason: Unknown 0.21/0.43 % (16691)Termination phase: Property scanning 0.21/0.43 0.21/0.43 % (16691)Memory used [KB]: 1023 0.21/0.43 % (16691)Time elapsed: 0.004 s 0.21/0.43 % (16691)Instructions burned: 3 (million) 0.21/0.43 % (16691)------------------------------ 0.21/0.43 % (16691)------------------------------ 0.21/0.43 % (16692)Refutation not found, incomplete strategy 0.21/0.43 % (16692)------------------------------ 0.21/0.43 % (16692)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.43 % (16692)Termination reason: Refutation not found, incomplete strategy 0.21/0.43 0.21/0.43 0.21/0.43 % (16692)Memory used [KB]: 5628 0.21/0.43 % (16692)Time elapsed: 0.006 s 0.21/0.43 % (16692)Instructions burned: 6 (million) 0.21/0.43 % (16692)------------------------------ 0.21/0.43 % (16692)------------------------------ 0.21/0.44 % (16693)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_16569 for (2399ds/3Mi) 0.21/0.44 % (16693)Instruction limit reached! 0.21/0.44 % (16693)------------------------------ 0.21/0.44 % (16693)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.44 % (16693)Termination reason: Unknown 0.21/0.44 % (16693)Termination phase: Property scanning 0.21/0.44 0.21/0.44 % (16693)Memory used [KB]: 1023 0.21/0.44 % (16693)Time elapsed: 0.004 s 0.21/0.44 % (16693)Instructions burned: 4 (million) 0.21/0.44 % (16693)------------------------------ 0.21/0.44 % (16693)------------------------------ 0.21/0.45 % (16694)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_16569 for (2399ds/4Mi) 0.21/0.45 % (16695)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_16569 for (2399ds/18Mi) 0.21/0.45 % (16694)Instruction limit reached! 0.21/0.45 % (16694)------------------------------ 0.21/0.45 % (16694)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.45 % (16694)Termination reason: Unknown 0.21/0.45 % (16694)Termination phase: Saturation 0.21/0.45 0.21/0.45 % (16694)Memory used [KB]: 5500 0.21/0.45 % (16694)Time elapsed: 0.005 s 0.21/0.45 % (16694)Instructions burned: 4 (million) 0.21/0.45 % (16694)------------------------------ 0.21/0.45 % (16694)------------------------------ 0.21/0.45 % (16696)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_16569 for (2399ds/710Mi) 0.21/0.45 % (16695)Instruction limit reached! 0.21/0.45 % (16695)------------------------------ 0.21/0.45 % (16695)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.45 % (16695)Termination reason: Unknown 0.21/0.45 % (16695)Termination phase: Saturation 0.21/0.45 0.21/0.45 % (16695)Memory used [KB]: 5628 0.21/0.45 % (16695)Time elapsed: 0.033 s 0.21/0.45 % (16695)Instructions burned: 18 (million) 0.21/0.45 % (16695)------------------------------ 0.21/0.45 % (16695)------------------------------ 0.21/0.46 % (16697)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_16569 for (2399ds/6Mi) 0.21/0.46 % (16698)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_16569 for (2399ds/902Mi) 0.21/0.46 % (16697)Instruction limit reached! 0.21/0.46 % (16697)------------------------------ 0.21/0.46 % (16697)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.46 % (16697)Termination reason: Unknown 0.21/0.46 % (16697)Termination phase: Saturation 0.21/0.46 0.21/0.46 % (16697)Memory used [KB]: 5628 0.21/0.46 % (16697)Time elapsed: 0.006 s 0.21/0.46 % (16697)Instructions burned: 6 (million) 0.21/0.46 % (16697)------------------------------ 0.21/0.46 % (16697)------------------------------ 0.21/0.46 % (16699)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_16569 for (2398ds/21Mi) 0.21/0.47 % (16699)Instruction limit reached! 0.21/0.47 % (16699)------------------------------ 0.21/0.47 % (16699)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.47 % (16699)Termination reason: Unknown 0.21/0.47 % (16699)Termination phase: Saturation 0.21/0.47 0.21/0.47 % (16699)Memory used [KB]: 5756 0.21/0.47 % (16699)Time elapsed: 0.010 s 0.21/0.47 % (16699)Instructions burned: 22 (million) 0.21/0.47 % (16699)------------------------------ 0.21/0.47 % (16699)------------------------------ 0.21/0.48 % (16700)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_16569 for (2398ds/5Mi) 0.21/0.48 % (16700)Instruction limit reached! 0.21/0.48 % (16700)------------------------------ 0.21/0.48 % (16700)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.48 % (16700)Termination reason: Unknown 0.21/0.48 % (16700)Termination phase: Saturation 0.21/0.48 0.21/0.48 % (16700)Memory used [KB]: 5500 0.21/0.48 % (16700)Time elapsed: 0.006 s 0.21/0.48 % (16700)Instructions burned: 6 (million) 0.21/0.48 % (16700)------------------------------ 0.21/0.48 % (16700)------------------------------ 0.21/0.48 % (16676)Instruction limit reached! 0.21/0.48 % (16676)------------------------------ 0.21/0.48 % (16676)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.48 % (16676)Termination reason: Unknown 0.21/0.48 % (16676)Termination phase: Saturation 0.21/0.48 0.21/0.48 % (16676)Memory used [KB]: 6780 0.21/0.48 % (16676)Time elapsed: 0.109 s 0.21/0.48 % (16676)Instructions burned: 183 (million) 0.21/0.48 % (16676)------------------------------ 0.21/0.48 % (16676)------------------------------ 0.21/0.48 % (16701)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_16569 for (2398ds/6Mi) 0.21/0.48 % (16701)Instruction limit reached! 0.21/0.48 % (16701)------------------------------ 0.21/0.48 % (16701)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.48 % (16701)Termination reason: Unknown 0.21/0.48 % (16701)Termination phase: Saturation 0.21/0.48 0.21/0.48 % (16701)Memory used [KB]: 5628 0.21/0.48 % (16701)Time elapsed: 0.004 s 0.21/0.48 % (16701)Instructions burned: 6 (million) 0.21/0.48 % (16701)------------------------------ 0.21/0.48 % (16701)------------------------------ 0.21/0.49 % (16703)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_16569 for (2398ds/779Mi) 0.21/0.49 % (16704)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_16569 for (2398ds/19Mi) 0.21/0.49 % (16702)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_16569 for (2398ds/377Mi) 0.21/0.50 % (16704)Refutation not found, incomplete strategy 0.21/0.50 % (16704)------------------------------ 0.21/0.50 % (16704)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.50 % (16704)Termination reason: Refutation not found, incomplete strategy 0.21/0.50 0.21/0.50 0.21/0.50 % (16704)Memory used [KB]: 5628 0.21/0.50 % (16704)Time elapsed: 0.004 s 0.21/0.50 % (16704)Instructions burned: 6 (million) 0.21/0.50 % (16704)------------------------------ 0.21/0.50 % (16704)------------------------------ 0.21/0.51 % (16705)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_16569 for (2398ds/879Mi) 0.21/0.51 % (16681)Instruction limit reached! 0.21/0.51 % (16681)------------------------------ 0.21/0.51 % (16681)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.51 % (16681)Termination reason: Unknown 0.21/0.51 % (16681)Termination phase: Saturation 0.21/0.51 0.21/0.51 % (16681)Memory used [KB]: 6012 0.21/0.51 % (16681)Time elapsed: 0.138 s 0.21/0.51 % (16681)Instructions burned: 275 (million) 0.21/0.51 % (16681)------------------------------ 0.21/0.51 % (16681)------------------------------ 0.21/0.52 % (16706)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_16569 for (2398ds/17Mi) 0.21/0.52 % (16706)Instruction limit reached! 0.21/0.52 % (16706)------------------------------ 0.21/0.52 % (16706)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.52 % (16706)Termination reason: Unknown 0.21/0.52 % (16706)Termination phase: Saturation 0.21/0.52 0.21/0.52 % (16706)Memory used [KB]: 5628 0.21/0.52 % (16706)Time elapsed: 0.009 s 0.21/0.52 % (16706)Instructions burned: 18 (million) 0.21/0.52 % (16706)------------------------------ 0.21/0.52 % (16706)------------------------------ 0.21/0.53 % (16707)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_16569 for (2398ds/3Mi) 0.21/0.53 % (16707)Instruction limit reached! 0.21/0.53 % (16707)------------------------------ 0.21/0.53 % (16707)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.53 % (16707)Termination reason: Unknown 0.21/0.53 % (16707)Termination phase: Saturation 0.21/0.53 0.21/0.53 % (16707)Memory used [KB]: 1023 0.21/0.53 % (16707)Time elapsed: 0.003 s 0.21/0.53 % (16707)Instructions burned: 4 (million) 0.21/0.53 % (16707)------------------------------ 0.21/0.53 % (16707)------------------------------ 0.21/0.54 % (16708)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_16569 for (2398ds/30Mi) 0.21/0.56 % (16708)Instruction limit reached! 0.21/0.56 % (16708)------------------------------ 0.21/0.56 % (16708)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.56 % (16708)Termination reason: Unknown 0.21/0.56 % (16708)Termination phase: Saturation 0.21/0.56 0.21/0.56 % (16708)Memory used [KB]: 5756 0.21/0.56 % (16708)Time elapsed: 0.014 s 0.21/0.56 % (16708)Instructions burned: 32 (million) 0.21/0.56 % (16708)------------------------------ 0.21/0.56 % (16708)------------------------------ 0.21/0.57 % (16709)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_16569 for (2397ds/127Mi) 1.85/0.61 % (16709)Instruction limit reached! 1.85/0.61 % (16709)------------------------------ 1.85/0.61 % (16709)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.85/0.61 % (16709)Termination reason: Unknown 1.85/0.61 % (16709)Termination phase: Saturation 1.85/0.61 1.85/0.61 % (16709)Memory used [KB]: 6012 1.85/0.61 % (16709)Time elapsed: 0.048 s 1.85/0.61 % (16709)Instructions burned: 129 (million) 1.85/0.61 % (16709)------------------------------ 1.85/0.61 % (16709)------------------------------ 1.85/0.62 % (16710)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_16569 for (2397ds/100Mi) 1.99/0.63 % (16702)Instruction limit reached! 1.99/0.63 % (16702)------------------------------ 1.99/0.63 % (16702)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.99/0.63 % (16702)Termination reason: Unknown 1.99/0.63 % (16702)Termination phase: Saturation 1.99/0.63 1.99/0.63 % (16702)Memory used [KB]: 6268 1.99/0.63 % (16702)Time elapsed: 0.135 s 1.99/0.63 % (16702)Instructions burned: 378 (million) 1.99/0.63 % (16702)------------------------------ 1.99/0.63 % (16702)------------------------------ 1.99/0.63 % (16687)First to succeed. 1.99/0.63 % (16687)Refutation found. Thanks to Tanya! 1.99/0.63 % SZS status Theorem for E---3.1_16569 1.99/0.63 % SZS output start Proof for E---3.1_16569 1.99/0.63 thf(type_def_5, type, frac: $tType). 1.99/0.63 thf(type_def_6, type, nat: $tType). 1.99/0.63 thf(func_def_0, type, frac: $tType). 1.99/0.63 thf(func_def_1, type, x: frac). 1.99/0.63 thf(func_def_2, type, y: frac). 1.99/0.63 thf(func_def_3, type, nat: $tType). 1.99/0.63 thf(func_def_4, type, ts: nat > nat > nat). 1.99/0.63 thf(func_def_5, type, num: frac > nat). 1.99/0.63 thf(func_def_6, type, den: frac > nat). 1.99/0.63 thf(func_def_7, type, pl: nat > nat > nat). 1.99/0.63 thf(func_def_8, type, eq: frac > frac > $o). 1.99/0.63 thf(func_def_9, type, pf: frac > frac > frac). 1.99/0.63 thf(func_def_10, type, fr: nat > nat > frac). 1.99/0.63 thf(func_def_11, type, ind: (nat > $o) > nat). 1.99/0.63 thf(func_def_12, type, amone: (nat > $o) > $o). 1.99/0.63 thf(func_def_26, type, ph1: !>[X0: $tType]:(X0)). 1.99/0.63 thf(func_def_27, type, sK2: nat). 1.99/0.63 thf(f1830,plain,( 1.99/0.63 $false), 1.99/0.63 inference(trivial_inequality_removal,[],[f1828])). 1.99/0.63 thf(f1828,plain,( 1.99/0.63 ($true = $false)), 1.99/0.63 inference(backward_demodulation,[],[f894,f1820])). 1.99/0.63 thf(f1820,plain,( 1.99/0.63 ( ! [X0 : frac,X1 : nat] : (((eq @ (pf @ (fr @ (ts @ (num @ y) @ X1) @ (ts @ X1 @ (den @ y))) @ X0) @ x) = $false)) )), 1.99/0.63 inference(not_proxy_clausification,[],[f1811])). 1.99/0.63 thf(f1811,plain,( 1.99/0.63 ( ! [X0 : frac,X1 : nat] : (((~ (eq @ (pf @ (fr @ (ts @ (num @ y) @ X1) @ (ts @ X1 @ (den @ y))) @ X0) @ x)) = $true)) )), 1.99/0.63 inference(trivial_inequality_removal,[],[f1795])). 1.99/0.63 thf(f1795,plain,( 1.99/0.63 ( ! [X0 : frac,X1 : nat] : (((~ (eq @ (pf @ (fr @ (ts @ (num @ y) @ X1) @ (ts @ X1 @ (den @ y))) @ X0) @ x)) = $true) | ($true = $false)) )), 1.99/0.63 inference(superposition,[],[f628,f202])). 1.99/0.63 thf(f202,plain,( 1.99/0.63 ( ! [X0 : frac,X1 : frac] : (((eq @ (pf @ y @ X0) @ X1) = $false) | ((~ (eq @ X1 @ x)) = $true)) )), 1.99/0.63 inference(binary_proxy_clausification,[],[f166])). 1.99/0.63 thf(f166,plain,( 1.99/0.63 ( ! [X0 : frac,X1 : frac] : (($true = ((eq @ (pf @ y @ X0) @ X1) => (~ (eq @ X1 @ x))))) )), 1.99/0.63 inference(boolean_simplification,[],[f135])). 1.99/0.63 thf(f135,plain,( 1.99/0.63 ( ! [X0 : frac,X1 : frac] : ((((eq @ (pf @ y @ X0) @ X1) => ((eq @ X1 @ x) => $false)) = $true)) )), 1.99/0.63 inference(superposition,[],[f128,f52])). 1.99/0.63 thf(f52,plain,( 1.99/0.63 ( ! [X1 : frac] : (((eq @ (pf @ y @ X1) @ x) = $false)) )), 1.99/0.63 inference(not_proxy_clausification,[],[f51])). 1.99/0.63 thf(f51,plain,( 1.99/0.63 ( ! [X1 : frac] : (($true = (~ (eq @ (pf @ y @ X1) @ x)))) )), 1.99/0.63 inference(beta_eta_normalization,[],[f50])). 1.99/0.63 thf(f50,plain,( 1.99/0.63 ( ! [X1 : frac] : ((((^[Y0 : frac]: (~ (eq @ (pf @ y @ Y0) @ x))) @ X1) = $true)) )), 1.99/0.63 inference(pi_clausification,[],[f47])). 1.99/0.63 thf(f47,plain,( 1.99/0.63 ((!! @ frac @ (^[Y0 : frac]: (~ (eq @ (pf @ y @ Y0) @ x)))) = $true)), 1.99/0.63 inference(boolean_simplification,[],[f45])). 1.99/0.63 thf(f45,plain,( 1.99/0.63 ((~ (~ (!! @ frac @ (^[Y0 : frac]: (~ (eq @ (pf @ y @ Y0) @ x)))))) = $true)), 1.99/0.63 inference(cnf_transformation,[],[f25])). 1.99/0.63 thf(f25,plain,( 1.99/0.63 ((~ (~ (!! @ frac @ (^[Y0 : frac]: (~ (eq @ (pf @ y @ Y0) @ x)))))) = $true)), 1.99/0.63 inference(fool_elimination,[],[f24])). 1.99/0.63 thf(f24,plain,( 1.99/0.63 ~~! [X0 : frac] : ~(eq @ (pf @ y @ X0) @ x)), 1.99/0.63 inference(rectify,[],[f11])). 1.99/0.63 thf(f11,negated_conjecture,( 1.99/0.63 ~~! [X7 : frac] : ~(eq @ (pf @ y @ X7) @ x)), 1.99/0.63 inference(negated_conjecture,[],[f10])). 1.99/0.63 thf(f10,conjecture,( 1.99/0.63 ~! [X7 : frac] : ~(eq @ (pf @ y @ X7) @ x)), 1.99/0.63 file('/export/starexec/sandbox/tmp/tmp.y43gJMyXlp/E---3.1_16569.p',satz67a)). 1.99/0.63 thf(f128,plain,( 1.99/0.63 ( ! [X2 : frac,X3 : frac,X1 : frac] : ((((eq @ X3 @ X2) => ((eq @ X2 @ X1) => (eq @ X3 @ X1))) = $true)) )), 1.99/0.63 inference(beta_eta_normalization,[],[f127])). 1.99/0.63 thf(f127,plain,( 1.99/0.63 ( ! [X2 : frac,X3 : frac,X1 : frac] : ((((^[Y0 : frac]: ((eq @ Y0 @ X2) => ((eq @ X2 @ X1) => (eq @ Y0 @ X1)))) @ X3) = $true)) )), 1.99/0.63 inference(pi_clausification,[],[f126])). 1.99/0.63 thf(f126,plain,( 1.99/0.63 ( ! [X2 : frac,X1 : frac] : (((!! @ frac @ (^[Y0 : frac]: ((eq @ Y0 @ X2) => ((eq @ X2 @ X1) => (eq @ Y0 @ X1))))) = $true)) )), 1.99/0.63 inference(beta_eta_normalization,[],[f125])). 1.99/0.63 thf(f125,plain,( 1.99/0.63 ( ! [X2 : frac,X1 : frac] : ((((^[Y0 : frac]: (!! @ frac @ (^[Y1 : frac]: ((eq @ Y1 @ Y0) => ((eq @ Y0 @ X1) => (eq @ Y1 @ X1)))))) @ X2) = $true)) )), 1.99/0.63 inference(pi_clausification,[],[f120])). 1.99/0.63 thf(f120,plain,( 1.99/0.63 ( ! [X1 : frac] : (((!! @ frac @ (^[Y0 : frac]: (!! @ frac @ (^[Y1 : frac]: ((eq @ Y1 @ Y0) => ((eq @ Y0 @ X1) => (eq @ Y1 @ X1))))))) = $true)) )), 1.99/0.63 inference(beta_eta_normalization,[],[f119])). 1.99/0.63 thf(f119,plain,( 1.99/0.63 ( ! [X1 : frac] : (($true = ((^[Y0 : frac]: (!! @ frac @ (^[Y1 : frac]: (!! @ frac @ (^[Y2 : frac]: ((eq @ Y2 @ Y1) => ((eq @ Y1 @ Y0) => (eq @ Y2 @ Y0)))))))) @ X1))) )), 1.99/0.63 inference(pi_clausification,[],[f42])). 1.99/0.63 thf(f42,plain,( 1.99/0.63 ((!! @ frac @ (^[Y0 : frac]: (!! @ frac @ (^[Y1 : frac]: (!! @ frac @ (^[Y2 : frac]: ((eq @ Y2 @ Y1) => ((eq @ Y1 @ Y0) => (eq @ Y2 @ Y0))))))))) = $true)), 1.99/0.63 inference(cnf_transformation,[],[f17])). 1.99/0.63 thf(f17,plain,( 1.99/0.63 ((!! @ frac @ (^[Y0 : frac]: (!! @ frac @ (^[Y1 : frac]: (!! @ frac @ (^[Y2 : frac]: ((eq @ Y2 @ Y1) => ((eq @ Y1 @ Y0) => (eq @ Y2 @ Y0))))))))) = $true)), 1.99/0.63 inference(fool_elimination,[],[f16])). 1.99/0.63 thf(f16,plain,( 1.99/0.63 ! [X0 : frac,X1 : frac,X2 : frac] : ((eq @ X0 @ X1) => ((eq @ X1 @ X2) => (eq @ X0 @ X2)))), 1.99/0.63 inference(rectify,[],[f1])). 1.99/0.63 thf(f1,axiom,( 1.99/0.63 ! [X0 : frac,X1 : frac,X2 : frac] : ((eq @ X0 @ X1) => ((eq @ X1 @ X2) => (eq @ X0 @ X2)))), 1.99/0.63 file('/export/starexec/sandbox/tmp/tmp.y43gJMyXlp/E---3.1_16569.p',satz39)). 1.99/0.63 thf(f628,plain,( 1.99/0.63 ( ! [X2 : frac,X0 : frac,X1 : nat] : (((eq @ (pf @ X0 @ X2) @ (pf @ (fr @ (ts @ (num @ X0) @ X1) @ (ts @ X1 @ (den @ X0))) @ X2)) = $true)) )), 1.99/0.63 inference(boolean_simplification,[],[f618])). 1.99/0.63 thf(f618,plain,( 1.99/0.63 ( ! [X2 : frac,X0 : frac,X1 : nat] : ((($true => (eq @ (pf @ X0 @ X2) @ (pf @ (fr @ (ts @ (num @ X0) @ X1) @ (ts @ X1 @ (den @ X0))) @ X2))) = $true)) )), 1.99/0.63 inference(superposition,[],[f543,f93])). 1.99/0.63 thf(f93,plain,( 1.99/0.63 ( ! [X0 : frac,X1 : nat] : (((eq @ X0 @ (fr @ (ts @ (num @ X0) @ X1) @ (ts @ X1 @ (den @ X0)))) = $true)) )), 1.99/0.63 inference(superposition,[],[f91,f63])). 1.99/0.63 thf(f63,plain,( 1.99/0.63 ( ! [X2 : nat,X1 : nat] : (((ts @ X1 @ X2) = (ts @ X2 @ X1))) )), 1.99/0.63 inference(equality_proxy_clausification,[],[f62])). 1.99/0.63 thf(f62,plain,( 1.99/0.63 ( ! [X2 : nat,X1 : nat] : ((((ts @ X2 @ X1) = (ts @ X1 @ X2)) = $true)) )), 1.99/0.63 inference(beta_eta_normalization,[],[f61])). 1.99/0.63 thf(f61,plain,( 1.99/0.63 ( ! [X2 : nat,X1 : nat] : ((((^[Y0 : nat]: ((ts @ Y0 @ X1) = (ts @ X1 @ Y0))) @ X2) = $true)) )), 1.99/0.63 inference(pi_clausification,[],[f60])). 1.99/0.63 thf(f60,plain,( 1.99/0.63 ( ! [X1 : nat] : (((!! @ nat @ (^[Y0 : nat]: ((ts @ Y0 @ X1) = (ts @ X1 @ Y0)))) = $true)) )), 1.99/0.63 inference(beta_eta_normalization,[],[f59])). 1.99/0.63 thf(f59,plain,( 1.99/0.63 ( ! [X1 : nat] : ((((^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((ts @ Y1 @ Y0) = (ts @ Y0 @ Y1))))) @ X1) = $true)) )), 1.99/0.63 inference(pi_clausification,[],[f40])). 1.99/0.63 thf(f40,plain,( 1.99/0.63 ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((ts @ Y1 @ Y0) = (ts @ Y0 @ Y1)))))) = $true)), 1.99/0.63 inference(cnf_transformation,[],[f32])). 1.99/0.63 thf(f32,plain,( 1.99/0.63 ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((ts @ Y1 @ Y0) = (ts @ Y0 @ Y1)))))) = $true)), 1.99/0.63 inference(fool_elimination,[],[f9])). 1.99/0.63 thf(f9,axiom,( 1.99/0.63 ! [X0 : nat,X1 : nat] : ((ts @ X0 @ X1) = (ts @ X1 @ X0))), 1.99/0.63 file('/export/starexec/sandbox/tmp/tmp.y43gJMyXlp/E---3.1_16569.p',satz29)). 1.99/0.63 thf(f91,plain,( 1.99/0.63 ( ! [X2 : frac,X1 : nat] : (((eq @ X2 @ (fr @ (ts @ (num @ X2) @ X1) @ (ts @ (den @ X2) @ X1))) = $true)) )), 1.99/0.63 inference(beta_eta_normalization,[],[f90])). 1.99/0.63 thf(f90,plain,( 1.99/0.63 ( ! [X2 : frac,X1 : nat] : ((((^[Y0 : frac]: (eq @ Y0 @ (fr @ (ts @ (num @ Y0) @ X1) @ (ts @ (den @ Y0) @ X1)))) @ X2) = $true)) )), 1.99/0.63 inference(pi_clausification,[],[f85])). 1.99/0.63 thf(f85,plain,( 1.99/0.63 ( ! [X1 : nat] : (((!! @ frac @ (^[Y0 : frac]: (eq @ Y0 @ (fr @ (ts @ (num @ Y0) @ X1) @ (ts @ (den @ Y0) @ X1))))) = $true)) )), 1.99/0.63 inference(beta_eta_normalization,[],[f84])). 1.99/0.63 thf(f84,plain,( 1.99/0.63 ( ! [X1 : nat] : ((((^[Y0 : nat]: (!! @ frac @ (^[Y1 : frac]: (eq @ Y1 @ (fr @ (ts @ (num @ Y1) @ Y0) @ (ts @ (den @ Y1) @ Y0)))))) @ X1) = $true)) )), 1.99/0.63 inference(pi_clausification,[],[f43])). 1.99/0.63 thf(f43,plain,( 1.99/0.63 ($true = (!! @ nat @ (^[Y0 : nat]: (!! @ frac @ (^[Y1 : frac]: (eq @ Y1 @ (fr @ (ts @ (num @ Y1) @ Y0) @ (ts @ (den @ Y1) @ Y0))))))))), 1.99/0.63 inference(cnf_transformation,[],[f21])). 1.99/0.63 thf(f21,plain,( 1.99/0.63 ($true = (!! @ nat @ (^[Y0 : nat]: (!! @ frac @ (^[Y1 : frac]: (eq @ Y1 @ (fr @ (ts @ (num @ Y1) @ Y0) @ (ts @ (den @ Y1) @ Y0))))))))), 1.99/0.63 inference(fool_elimination,[],[f20])). 1.99/0.63 thf(f20,plain,( 1.99/0.63 ! [X0 : frac,X1 : nat] : (eq @ X0 @ (fr @ (ts @ (num @ X0) @ X1) @ (ts @ (den @ X0) @ X1)))), 1.99/0.63 inference(rectify,[],[f5])). 1.99/0.63 thf(f5,axiom,( 1.99/0.63 ! [X0 : frac,X5 : nat] : (eq @ X0 @ (fr @ (ts @ (num @ X0) @ X5) @ (ts @ (den @ X0) @ X5)))), 1.99/0.63 file('/export/starexec/sandbox/tmp/tmp.y43gJMyXlp/E---3.1_16569.p',satz40)). 1.99/0.63 thf(f543,plain,( 1.99/0.63 ( ! [X2 : frac,X0 : frac,X1 : frac] : ((((eq @ X1 @ X2) => (eq @ (pf @ X1 @ X0) @ (pf @ X2 @ X0))) = $true)) )), 1.99/0.63 inference(boolean_simplification,[],[f507])). 1.99/0.63 thf(f507,plain,( 1.99/0.63 ( ! [X2 : frac,X0 : frac,X1 : frac] : (($true = ((eq @ X1 @ X2) => ($true => (eq @ (pf @ X1 @ X0) @ (pf @ X2 @ X0)))))) )), 1.99/0.63 inference(superposition,[],[f451,f49])). 1.99/0.63 thf(f49,plain,( 1.99/0.63 ( ! [X1 : frac] : (((eq @ X1 @ X1) = $true)) )), 1.99/0.63 inference(beta_eta_normalization,[],[f48])). 1.99/0.63 thf(f48,plain,( 1.99/0.63 ( ! [X1 : frac] : ((((^[Y0 : frac]: (eq @ Y0 @ Y0)) @ X1) = $true)) )), 1.99/0.63 inference(pi_clausification,[],[f35])). 1.99/0.63 thf(f35,plain,( 1.99/0.63 ((!! @ frac @ (^[Y0 : frac]: (eq @ Y0 @ Y0))) = $true)), 1.99/0.63 inference(cnf_transformation,[],[f31])). 1.99/0.63 thf(f31,plain,( 1.99/0.63 ((!! @ frac @ (^[Y0 : frac]: (eq @ Y0 @ Y0))) = $true)), 1.99/0.63 inference(fool_elimination,[],[f30])). 1.99/0.63 thf(f30,plain,( 1.99/0.63 ! [X0 : frac] : (eq @ X0 @ X0)), 1.99/0.63 inference(rectify,[],[f3])). 1.99/0.63 thf(f3,axiom,( 1.99/0.63 ! [X0 : frac] : (eq @ X0 @ X0)), 1.99/0.63 file('/export/starexec/sandbox/tmp/tmp.y43gJMyXlp/E---3.1_16569.p',satz37)). 1.99/0.63 thf(f451,plain,( 1.99/0.63 ( ! [X2 : frac,X3 : frac,X1 : frac,X4 : frac] : ((((eq @ X4 @ X3) => ((eq @ X1 @ X2) => (eq @ (pf @ X4 @ X1) @ (pf @ X3 @ X2)))) = $true)) )), 1.99/0.63 inference(beta_eta_normalization,[],[f450])). 1.99/0.63 thf(f450,plain,( 1.99/0.63 ( ! [X2 : frac,X3 : frac,X1 : frac,X4 : frac] : (($true = ((^[Y0 : frac]: ((eq @ Y0 @ X3) => ((eq @ X1 @ X2) => (eq @ (pf @ Y0 @ X1) @ (pf @ X3 @ X2))))) @ X4))) )), 1.99/0.63 inference(pi_clausification,[],[f390])). 1.99/0.63 thf(f390,plain,( 1.99/0.63 ( ! [X2 : frac,X3 : frac,X1 : frac] : (((!! @ frac @ (^[Y0 : frac]: ((eq @ Y0 @ X3) => ((eq @ X1 @ X2) => (eq @ (pf @ Y0 @ X1) @ (pf @ X3 @ X2)))))) = $true)) )), 1.99/0.63 inference(beta_eta_normalization,[],[f389])). 1.99/0.63 thf(f389,plain,( 1.99/0.63 ( ! [X2 : frac,X3 : frac,X1 : frac] : (($true = ((^[Y0 : frac]: (!! @ frac @ (^[Y1 : frac]: ((eq @ Y1 @ Y0) => ((eq @ X1 @ X2) => (eq @ (pf @ Y1 @ X1) @ (pf @ Y0 @ X2))))))) @ X3))) )), 1.99/0.63 inference(pi_clausification,[],[f325])). 1.99/0.63 thf(f325,plain,( 1.99/0.63 ( ! [X2 : frac,X1 : frac] : (((!! @ frac @ (^[Y0 : frac]: (!! @ frac @ (^[Y1 : frac]: ((eq @ Y1 @ Y0) => ((eq @ X1 @ X2) => (eq @ (pf @ Y1 @ X1) @ (pf @ Y0 @ X2)))))))) = $true)) )), 1.99/0.63 inference(beta_eta_normalization,[],[f324])). 1.99/0.63 thf(f324,plain,( 1.99/0.63 ( ! [X2 : frac,X1 : frac] : (($true = ((^[Y0 : frac]: (!! @ frac @ (^[Y1 : frac]: (!! @ frac @ (^[Y2 : frac]: ((eq @ Y2 @ Y1) => ((eq @ X1 @ Y0) => (eq @ (pf @ Y2 @ X1) @ (pf @ Y1 @ Y0))))))))) @ X2))) )), 1.99/0.63 inference(pi_clausification,[],[f310])). 1.99/0.63 thf(f310,plain,( 1.99/0.63 ( ! [X1 : frac] : (((!! @ frac @ (^[Y0 : frac]: (!! @ frac @ (^[Y1 : frac]: (!! @ frac @ (^[Y2 : frac]: ((eq @ Y2 @ Y1) => ((eq @ X1 @ Y0) => (eq @ (pf @ Y2 @ X1) @ (pf @ Y1 @ Y0)))))))))) = $true)) )), 1.99/0.63 inference(beta_eta_normalization,[],[f309])). 1.99/0.63 thf(f309,plain,( 1.99/0.63 ( ! [X1 : frac] : ((((^[Y0 : frac]: (!! @ frac @ (^[Y1 : frac]: (!! @ frac @ (^[Y2 : frac]: (!! @ frac @ (^[Y3 : frac]: ((eq @ Y3 @ Y2) => ((eq @ Y0 @ Y1) => (eq @ (pf @ Y3 @ Y0) @ (pf @ Y2 @ Y1))))))))))) @ X1) = $true)) )), 1.99/0.63 inference(pi_clausification,[],[f44])). 1.99/0.63 thf(f44,plain,( 1.99/0.63 ((!! @ frac @ (^[Y0 : frac]: (!! @ frac @ (^[Y1 : frac]: (!! @ frac @ (^[Y2 : frac]: (!! @ frac @ (^[Y3 : frac]: ((eq @ Y3 @ Y2) => ((eq @ Y0 @ Y1) => (eq @ (pf @ Y3 @ Y0) @ (pf @ Y2 @ Y1)))))))))))) = $true)), 1.99/0.63 inference(cnf_transformation,[],[f29])). 1.99/0.63 thf(f29,plain,( 1.99/0.63 ((!! @ frac @ (^[Y0 : frac]: (!! @ frac @ (^[Y1 : frac]: (!! @ frac @ (^[Y2 : frac]: (!! @ frac @ (^[Y3 : frac]: ((eq @ Y3 @ Y2) => ((eq @ Y0 @ Y1) => (eq @ (pf @ Y3 @ Y0) @ (pf @ Y2 @ Y1)))))))))))) = $true)), 1.99/0.63 inference(fool_elimination,[],[f28])). 1.99/0.63 thf(f28,plain,( 1.99/0.63 ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((eq @ X0 @ X1) => ((eq @ X3 @ X2) => (eq @ (pf @ X0 @ X3) @ (pf @ X1 @ X2))))), 1.99/0.63 inference(rectify,[],[f12])). 1.99/0.63 thf(f12,axiom,( 1.99/0.63 ! [X0 : frac,X1 : frac,X8 : frac,X2 : frac] : ((eq @ X0 @ X1) => ((eq @ X2 @ X8) => (eq @ (pf @ X0 @ X2) @ (pf @ X1 @ X8))))), 1.99/0.63 file('/export/starexec/sandbox/tmp/tmp.y43gJMyXlp/E---3.1_16569.p',satz56)). 1.99/0.63 thf(f894,plain,( 1.99/0.63 ((eq @ (pf @ (fr @ (ts @ (num @ y) @ (den @ x)) @ (ts @ (den @ x) @ (den @ y))) @ (fr @ sK2 @ (ts @ (den @ x) @ (den @ y)))) @ x) = $true)), 1.99/0.63 inference(forward_demodulation,[],[f889,f63])). 1.99/0.63 thf(f889,plain,( 1.99/0.63 ($true = (eq @ (pf @ (fr @ (ts @ (num @ y) @ (den @ x)) @ (ts @ (den @ y) @ (den @ x))) @ (fr @ sK2 @ (ts @ (den @ y) @ (den @ x)))) @ x))), 1.99/0.63 inference(boolean_simplification,[],[f861])). 1.99/0.63 thf(f861,plain,( 1.99/0.63 (($true => (eq @ (pf @ (fr @ (ts @ (num @ y) @ (den @ x)) @ (ts @ (den @ y) @ (den @ x))) @ (fr @ sK2 @ (ts @ (den @ y) @ (den @ x)))) @ x)) = $true)), 1.99/0.63 inference(superposition,[],[f165,f288])). 1.99/0.63 thf(f288,plain,( 1.99/0.63 ( ! [X0 : nat] : (((eq @ (pf @ (fr @ (ts @ (num @ y) @ (den @ x)) @ X0) @ (fr @ sK2 @ X0)) @ (fr @ (ts @ (num @ x) @ (den @ y)) @ X0)) = $true)) )), 1.99/0.63 inference(superposition,[],[f272,f116])). 1.99/0.63 thf(f116,plain,( 1.99/0.63 ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ sK2))), 1.99/0.63 inference(equality_proxy_clausification,[],[f109])). 1.99/0.63 thf(f109,plain,( 1.99/0.63 ($true = ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ sK2)))), 1.99/0.63 inference(not_proxy_clausification,[],[f104])). 1.99/0.63 thf(f104,plain,( 1.99/0.63 ((~ ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ sK2))) = $false)), 1.99/0.63 inference(beta_eta_normalization,[],[f103])). 1.99/0.63 thf(f103,plain,( 1.99/0.63 (((^[Y0 : nat]: (~ ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0)))) @ sK2) = $false)), 1.99/0.63 inference(sigma_clausification,[],[f96])). 1.99/0.63 thf(f96,plain,( 1.99/0.63 ((!! @ nat @ (^[Y0 : nat]: (~ ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0))))) = $false)), 1.99/0.63 inference(not_proxy_clausification,[],[f37])). 1.99/0.63 thf(f37,plain,( 1.99/0.63 ((~ (!! @ nat @ (^[Y0 : nat]: (~ ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0)))))) = $true)), 1.99/0.63 inference(cnf_transformation,[],[f34])). 1.99/0.63 thf(f34,plain,( 1.99/0.63 ((~ (!! @ nat @ (^[Y0 : nat]: (~ ((ts @ (num @ x) @ (den @ y)) = (pl @ (ts @ (num @ y) @ (den @ x)) @ Y0)))))) = $true)), 1.99/0.63 inference(fool_elimination,[],[f33])). 1.99/0.63 thf(f33,plain,( 1.99/0.63 ~! [X0 : nat] : ((ts @ (num @ x) @ (den @ y)) != (pl @ (ts @ (num @ y) @ (den @ x)) @ X0))), 1.99/0.63 inference(rectify,[],[f8])). 1.99/0.63 thf(f8,axiom,( 1.99/0.63 ~! [X7 : nat] : ((ts @ (num @ x) @ (den @ y)) != (pl @ (ts @ (num @ y) @ (den @ x)) @ X7))), 1.99/0.63 file('/export/starexec/sandbox/tmp/tmp.y43gJMyXlp/E---3.1_16569.p',m)). 1.99/0.63 thf(f272,plain,( 1.99/0.63 ( ! [X2 : nat,X3 : nat,X1 : nat] : (((eq @ (pf @ (fr @ X2 @ X1) @ (fr @ X3 @ X1)) @ (fr @ (pl @ X2 @ X3) @ X1)) = $true)) )), 1.99/0.63 inference(beta_eta_normalization,[],[f271])). 1.99/0.63 thf(f271,plain,( 1.99/0.63 ( ! [X2 : nat,X3 : nat,X1 : nat] : (($true = ((^[Y0 : nat]: (eq @ (pf @ (fr @ X2 @ X1) @ (fr @ Y0 @ X1)) @ (fr @ (pl @ X2 @ Y0) @ X1))) @ X3))) )), 1.99/0.63 inference(pi_clausification,[],[f253])). 1.99/0.63 thf(f253,plain,( 1.99/0.63 ( ! [X2 : nat,X1 : nat] : (((!! @ nat @ (^[Y0 : nat]: (eq @ (pf @ (fr @ X2 @ X1) @ (fr @ Y0 @ X1)) @ (fr @ (pl @ X2 @ Y0) @ X1)))) = $true)) )), 1.99/0.63 inference(beta_eta_normalization,[],[f252])). 1.99/0.63 thf(f252,plain,( 1.99/0.63 ( ! [X2 : nat,X1 : nat] : ((((^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: (eq @ (pf @ (fr @ Y0 @ X1) @ (fr @ Y1 @ X1)) @ (fr @ (pl @ Y0 @ Y1) @ X1))))) @ X2) = $true)) )), 1.99/0.63 inference(pi_clausification,[],[f244])). 1.99/0.63 thf(f244,plain,( 1.99/0.63 ( ! [X1 : nat] : (((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: (eq @ (pf @ (fr @ Y0 @ X1) @ (fr @ Y1 @ X1)) @ (fr @ (pl @ Y0 @ Y1) @ X1)))))) = $true)) )), 1.99/0.63 inference(beta_eta_normalization,[],[f243])). 1.99/0.63 thf(f243,plain,( 1.99/0.63 ( ! [X1 : nat] : ((((^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: (!! @ nat @ (^[Y2 : nat]: (eq @ (pf @ (fr @ Y1 @ Y0) @ (fr @ Y2 @ Y0)) @ (fr @ (pl @ Y1 @ Y2) @ Y0))))))) @ X1) = $true)) )), 1.99/0.63 inference(pi_clausification,[],[f36])). 1.99/0.63 thf(f36,plain,( 1.99/0.63 ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: (!! @ nat @ (^[Y2 : nat]: (eq @ (pf @ (fr @ Y1 @ Y0) @ (fr @ Y2 @ Y0)) @ (fr @ (pl @ Y1 @ Y2) @ Y0)))))))) = $true)), 1.99/0.63 inference(cnf_transformation,[],[f23])). 1.99/0.63 thf(f23,plain,( 1.99/0.63 ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: (!! @ nat @ (^[Y2 : nat]: (eq @ (pf @ (fr @ Y1 @ Y0) @ (fr @ Y2 @ Y0)) @ (fr @ (pl @ Y1 @ Y2) @ Y0)))))))) = $true)), 1.99/0.63 inference(fool_elimination,[],[f22])). 1.99/0.63 thf(f22,plain,( 1.99/0.63 ! [X0 : nat,X1 : nat,X2 : nat] : (eq @ (pf @ (fr @ X1 @ X2) @ (fr @ X0 @ X2)) @ (fr @ (pl @ X1 @ X0) @ X2))), 1.99/0.63 inference(rectify,[],[f2])). 1.99/0.63 thf(f2,axiom,( 1.99/0.63 ! [X4 : nat,X3 : nat,X5 : nat] : (eq @ (pf @ (fr @ X3 @ X5) @ (fr @ X4 @ X5)) @ (fr @ (pl @ X3 @ X4) @ X5))), 1.99/0.63 file('/export/starexec/sandbox/tmp/tmp.y43gJMyXlp/E---3.1_16569.p',satz57)). 1.99/0.63 thf(f165,plain,( 1.99/0.63 ( ! [X2 : frac,X0 : frac,X1 : nat] : ((((eq @ X2 @ (fr @ (ts @ (num @ X0) @ X1) @ (ts @ X1 @ (den @ X0)))) => (eq @ X2 @ X0)) = $true)) )), 1.99/0.63 inference(boolean_simplification,[],[f142])). 1.99/0.63 thf(f142,plain,( 1.99/0.63 ( ! [X2 : frac,X0 : frac,X1 : nat] : ((((eq @ X2 @ (fr @ (ts @ (num @ X0) @ X1) @ (ts @ X1 @ (den @ X0)))) => ($true => (eq @ X2 @ X0))) = $true)) )), 1.99/0.63 inference(superposition,[],[f128,f77])). 1.99/0.63 thf(f77,plain,( 1.99/0.63 ( ! [X0 : frac,X1 : nat] : (((eq @ (fr @ (ts @ (num @ X0) @ X1) @ (ts @ X1 @ (den @ X0))) @ X0) = $true)) )), 1.99/0.63 inference(superposition,[],[f75,f63])). 1.99/0.63 thf(f75,plain,( 1.99/0.63 ( ! [X2 : nat,X1 : frac] : (($true = (eq @ (fr @ (ts @ (num @ X1) @ X2) @ (ts @ (den @ X1) @ X2)) @ X1))) )), 1.99/0.63 inference(beta_eta_normalization,[],[f74])). 1.99/0.63 thf(f74,plain,( 1.99/0.63 ( ! [X2 : nat,X1 : frac] : ((((^[Y0 : nat]: (eq @ (fr @ (ts @ (num @ X1) @ Y0) @ (ts @ (den @ X1) @ Y0)) @ X1)) @ X2) = $true)) )), 1.99/0.63 inference(pi_clausification,[],[f73])). 1.99/0.63 thf(f73,plain,( 1.99/0.63 ( ! [X1 : frac] : (($true = (!! @ nat @ (^[Y0 : nat]: (eq @ (fr @ (ts @ (num @ X1) @ Y0) @ (ts @ (den @ X1) @ Y0)) @ X1))))) )), 1.99/0.63 inference(beta_eta_normalization,[],[f72])). 1.99/0.63 thf(f72,plain,( 1.99/0.63 ( ! [X1 : frac] : ((((^[Y0 : frac]: (!! @ nat @ (^[Y1 : nat]: (eq @ (fr @ (ts @ (num @ Y0) @ Y1) @ (ts @ (den @ Y0) @ Y1)) @ Y0)))) @ X1) = $true)) )), 1.99/0.63 inference(pi_clausification,[],[f39])). 1.99/0.63 thf(f39,plain,( 1.99/0.63 ((!! @ frac @ (^[Y0 : frac]: (!! @ nat @ (^[Y1 : nat]: (eq @ (fr @ (ts @ (num @ Y0) @ Y1) @ (ts @ (den @ Y0) @ Y1)) @ Y0))))) = $true)), 1.99/0.63 inference(cnf_transformation,[],[f15])). 1.99/0.63 thf(f15,plain,( 1.99/0.63 ((!! @ frac @ (^[Y0 : frac]: (!! @ nat @ (^[Y1 : nat]: (eq @ (fr @ (ts @ (num @ Y0) @ Y1) @ (ts @ (den @ Y0) @ Y1)) @ Y0))))) = $true)), 1.99/0.63 inference(fool_elimination,[],[f14])). 1.99/0.63 thf(f14,plain,( 1.99/0.63 ! [X0 : nat,X1 : frac] : (eq @ (fr @ (ts @ (num @ X1) @ X0) @ (ts @ (den @ X1) @ X0)) @ X1)), 1.99/0.63 inference(rectify,[],[f6])). 1.99/0.63 thf(f6,axiom,( 1.99/0.63 ! [X5 : nat,X0 : frac] : (eq @ (fr @ (ts @ (num @ X0) @ X5) @ (ts @ (den @ X0) @ X5)) @ X0)), 1.99/0.63 file('/export/starexec/sandbox/tmp/tmp.y43gJMyXlp/E---3.1_16569.p',satz40a)). 1.99/0.63 % SZS output end Proof for E---3.1_16569 1.99/0.63 % (16687)------------------------------ 1.99/0.63 % (16687)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.99/0.63 % (16687)Termination reason: Refutation 1.99/0.63 1.99/0.63 % (16687)Memory used [KB]: 7803 1.99/0.63 % (16687)Time elapsed: 0.244 s 1.99/0.63 % (16687)Instructions burned: 493 (million) 1.99/0.63 % (16687)------------------------------ 1.99/0.63 % (16687)------------------------------ 1.99/0.63 % (16675)Success in time 0.276 s 1.99/0.63 EOF