0.08/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.12 % Command : run_vampire %s %d THM 0.12/0.34 % Computer : n004.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1920 0.12/0.34 % WCLimit : 240 0.12/0.34 % DateTime : Wed Jul 30 02:20:34 EDT 2025 0.12/0.34 % CPUTime : 0.12/0.36 This is a THF_ problem 0.12/0.36 Running higher-order theorem proving 0.12/0.37 Running /export/starexec/sandbox/solver/bin/vampire-hol --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --print_def_sorts on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.tFJZGvij6z/E---3.1_16786.p -m 16384 -t 240 0.12/0.39 % (17040)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_16786 for (2399ds/2Mi) 0.12/0.39 % (17040)Instruction limit reached! 0.12/0.39 % (17040)------------------------------ 0.12/0.39 % (17040)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.12/0.39 % (17040)Termination reason: Unknown 0.12/0.39 % (17040)Termination phase: Property scanning 0.12/0.39 0.12/0.39 % (17040)Memory used [KB]: 895 0.12/0.39 % (17040)Time elapsed: 0.003 s 0.12/0.39 % (17040)Instructions burned: 2 (million) 0.12/0.39 % (17040)------------------------------ 0.12/0.39 % (17040)------------------------------ 0.12/0.39 % (17037)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_16786 for (2399ds/183Mi) 0.12/0.39 % (17039)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_16786 for (2399ds/27Mi) 0.12/0.39 % (17038)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_16786 for (2399ds/4Mi) 0.12/0.39 % (17041)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_16786 for (2399ds/2Mi) 0.12/0.39 % (17042)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_16786 for (2399ds/275Mi) 0.12/0.39 % (17043)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_16786 for (2399ds/18Mi) 0.12/0.39 % (17041)Instruction limit reached! 0.12/0.39 % (17041)------------------------------ 0.12/0.39 % (17041)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.12/0.39 % (17041)Termination reason: Unknown 0.12/0.39 % (17041)Termination phase: Saturation 0.12/0.39 0.12/0.39 % (17041)Memory used [KB]: 1023 0.12/0.39 % (17041)Time elapsed: 0.004 s 0.12/0.39 % (17041)Instructions burned: 3 (million) 0.12/0.39 % (17041)------------------------------ 0.12/0.39 % (17041)------------------------------ 0.12/0.39 % (17038)Instruction limit reached! 0.12/0.39 % (17038)------------------------------ 0.12/0.39 % (17038)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.12/0.39 % (17038)Termination reason: Unknown 0.12/0.39 % (17038)Termination phase: Saturation 0.12/0.39 0.12/0.39 % (17038)Memory used [KB]: 5500 0.12/0.39 % (17038)Time elapsed: 0.004 s 0.12/0.39 % (17038)Instructions burned: 4 (million) 0.12/0.39 % (17038)------------------------------ 0.12/0.39 % (17038)------------------------------ 0.12/0.39 % (17042)Refutation not found, incomplete strategy 0.12/0.39 % (17042)------------------------------ 0.12/0.39 % (17042)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.12/0.39 % (17042)Termination reason: Refutation not found, incomplete strategy 0.12/0.39 0.12/0.39 0.12/0.39 % (17042)Memory used [KB]: 5500 0.12/0.39 % (17042)Time elapsed: 0.005 s 0.12/0.39 % (17042)Instructions burned: 4 (million) 0.12/0.39 % (17042)------------------------------ 0.12/0.39 % (17042)------------------------------ 0.12/0.39 % (17039)Refutation not found, incomplete strategy 0.12/0.39 % (17039)------------------------------ 0.12/0.39 % (17039)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.12/0.39 % (17039)Termination reason: Refutation not found, incomplete strategy 0.12/0.39 0.12/0.39 0.12/0.39 % (17039)Memory used [KB]: 5500 0.12/0.39 % (17039)Time elapsed: 0.007 s 0.12/0.39 % (17039)Instructions burned: 7 (million) 0.12/0.39 % (17039)------------------------------ 0.12/0.39 % (17039)------------------------------ 0.12/0.40 % (17043)Instruction limit reached! 0.12/0.40 % (17043)------------------------------ 0.12/0.40 % (17043)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.12/0.40 % (17043)Termination reason: Unknown 0.12/0.40 % (17043)Termination phase: Saturation 0.12/0.40 0.12/0.40 % (17043)Memory used [KB]: 5500 0.12/0.40 % (17043)Time elapsed: 0.013 s 0.12/0.40 % (17043)Instructions burned: 18 (million) 0.12/0.40 % (17043)------------------------------ 0.12/0.40 % (17043)------------------------------ 0.22/0.40 % (17044)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_16786 for (2399ds/3Mi) 0.22/0.40 % (17044)Instruction limit reached! 0.22/0.40 % (17044)------------------------------ 0.22/0.40 % (17044)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.40 % (17044)Termination reason: Unknown 0.22/0.40 % (17044)Termination phase: Saturation 0.22/0.40 0.22/0.40 % (17044)Memory used [KB]: 5500 0.22/0.40 % (17044)Time elapsed: 0.003 s 0.22/0.40 % (17044)Instructions burned: 3 (million) 0.22/0.40 % (17044)------------------------------ 0.22/0.40 % (17044)------------------------------ 0.22/0.41 % (17045)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_16786 for (2399ds/37Mi) 0.22/0.41 % (17046)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_16786 for (2399ds/15Mi) 0.22/0.41 % (17047)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_16786 for (2399ds/3Mi) 0.22/0.41 % (17047)Instruction limit reached! 0.22/0.41 % (17047)------------------------------ 0.22/0.41 % (17047)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.41 % (17047)Termination reason: Unknown 0.22/0.41 % (17047)Termination phase: Saturation 0.22/0.41 0.22/0.41 % (17047)Memory used [KB]: 5500 0.22/0.41 % (17047)Time elapsed: 0.004 s 0.22/0.41 % (17047)Instructions burned: 3 (million) 0.22/0.41 % (17047)------------------------------ 0.22/0.41 % (17047)------------------------------ 0.22/0.41 % (17048)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_16786 for (2399ds/1041Mi) 0.22/0.42 % (17049)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_16786 for (2399ds/7Mi) 0.22/0.42 % (17046)Instruction limit reached! 0.22/0.42 % (17046)------------------------------ 0.22/0.42 % (17046)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.42 % (17046)Termination reason: Unknown 0.22/0.42 % (17046)Termination phase: Saturation 0.22/0.42 0.22/0.42 % (17046)Memory used [KB]: 5628 0.22/0.42 % (17046)Time elapsed: 0.012 s 0.22/0.42 % (17046)Instructions burned: 15 (million) 0.22/0.42 % (17046)------------------------------ 0.22/0.42 % (17046)------------------------------ 0.22/0.42 % (17050)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_16786 for (2399ds/16Mi) 0.22/0.42 % (17048)Refutation not found, incomplete strategy 0.22/0.42 % (17048)------------------------------ 0.22/0.42 % (17048)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.42 % (17048)Termination reason: Refutation not found, incomplete strategy 0.22/0.42 0.22/0.42 0.22/0.42 % (17048)Memory used [KB]: 5628 0.22/0.42 % (17048)Time elapsed: 0.009 s 0.22/0.42 % (17048)Instructions burned: 11 (million) 0.22/0.42 % (17048)------------------------------ 0.22/0.42 % (17048)------------------------------ 0.22/0.42 % (17049)Instruction limit reached! 0.22/0.42 % (17049)------------------------------ 0.22/0.42 % (17049)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.42 % (17049)Termination reason: Unknown 0.22/0.42 % (17049)Termination phase: Saturation 0.22/0.42 0.22/0.42 % (17049)Memory used [KB]: 1023 0.22/0.42 % (17049)Time elapsed: 0.007 s 0.22/0.42 % (17049)Instructions burned: 8 (million) 0.22/0.42 % (17049)------------------------------ 0.22/0.42 % (17049)------------------------------ 0.22/0.43 % (17050)Instruction limit reached! 0.22/0.43 % (17050)------------------------------ 0.22/0.43 % (17050)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.43 % (17050)Termination reason: Unknown 0.22/0.43 % (17050)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (17050)Memory used [KB]: 5628 0.22/0.43 % (17050)Time elapsed: 0.010 s 0.22/0.43 % (17050)Instructions burned: 16 (million) 0.22/0.43 % (17050)------------------------------ 0.22/0.43 % (17050)------------------------------ 0.22/0.43 % (17045)Instruction limit reached! 0.22/0.43 % (17045)------------------------------ 0.22/0.43 % (17045)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.43 % (17045)Termination reason: Unknown 0.22/0.43 % (17045)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (17045)Memory used [KB]: 5884 0.22/0.43 % (17045)Time elapsed: 0.023 s 0.22/0.43 % (17045)Instructions burned: 38 (million) 0.22/0.43 % (17045)------------------------------ 0.22/0.43 % (17045)------------------------------ 0.22/0.43 % (17051)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_16786 for (2399ds/3Mi) 0.22/0.43 % (17051)Instruction limit reached! 0.22/0.43 % (17051)------------------------------ 0.22/0.43 % (17051)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.43 % (17051)Termination reason: Unknown 0.22/0.43 % (17051)Termination phase: Twee Goal Transformation 0.22/0.43 0.22/0.43 % (17051)Memory used [KB]: 1023 0.22/0.43 % (17051)Time elapsed: 0.004 s 0.22/0.43 % (17051)Instructions burned: 4 (million) 0.22/0.43 % (17051)------------------------------ 0.22/0.43 % (17051)------------------------------ 0.22/0.44 % (17052)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_16786 for (2399ds/3Mi) 0.22/0.44 % (17053)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_16786 for (2399ds/7Mi) 0.22/0.44 % (17052)Instruction limit reached! 0.22/0.44 % (17052)------------------------------ 0.22/0.44 % (17052)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.44 % (17052)Termination reason: Unknown 0.22/0.44 % (17052)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (17052)Memory used [KB]: 1023 0.22/0.44 % (17052)Time elapsed: 0.004 s 0.22/0.44 % (17052)Instructions burned: 4 (million) 0.22/0.44 % (17052)------------------------------ 0.22/0.44 % (17052)------------------------------ 0.22/0.44 % (17054)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_16786 for (2399ds/3Mi) 0.22/0.44 % (17053)Instruction limit reached! 0.22/0.44 % (17053)------------------------------ 0.22/0.44 % (17053)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.44 % (17053)Termination reason: Unknown 0.22/0.44 % (17053)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (17053)Memory used [KB]: 5500 0.22/0.44 % (17053)Time elapsed: 0.006 s 0.22/0.44 % (17053)Instructions burned: 7 (million) 0.22/0.44 % (17053)------------------------------ 0.22/0.44 % (17053)------------------------------ 0.22/0.44 % (17054)Instruction limit reached! 0.22/0.44 % (17054)------------------------------ 0.22/0.44 % (17054)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.44 % (17054)Termination reason: Unknown 0.22/0.44 % (17054)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (17054)Memory used [KB]: 5500 0.22/0.44 % (17054)Time elapsed: 0.004 s 0.22/0.44 % (17054)Instructions burned: 3 (million) 0.22/0.44 % (17054)------------------------------ 0.22/0.44 % (17054)------------------------------ 0.22/0.44 % (17055)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_16786 for (2399ds/4Mi) 0.22/0.44 % (17055)Instruction limit reached! 0.22/0.44 % (17055)------------------------------ 0.22/0.44 % (17055)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.44 % (17055)Termination reason: Unknown 0.22/0.44 % (17055)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (17055)Memory used [KB]: 5500 0.22/0.44 % (17055)Time elapsed: 0.004 s 0.22/0.44 % (17055)Instructions burned: 5 (million) 0.22/0.44 % (17055)------------------------------ 0.22/0.44 % (17055)------------------------------ 0.22/0.45 % (17056)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_16786 for (2399ds/18Mi) 0.22/0.45 % (17057)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_16786 for (2399ds/710Mi) 0.22/0.45 % (17056)Refutation not found, incomplete strategy 0.22/0.45 % (17056)------------------------------ 0.22/0.45 % (17056)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.45 % (17056)Termination reason: Refutation not found, incomplete strategy 0.22/0.45 0.22/0.45 0.22/0.45 % (17056)Memory used [KB]: 5500 0.22/0.45 % (17056)Time elapsed: 0.006 s 0.22/0.45 % (17056)Instructions burned: 6 (million) 0.22/0.45 % (17056)------------------------------ 0.22/0.45 % (17056)------------------------------ 0.22/0.46 % (17058)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_16786 for (2399ds/6Mi) 0.22/0.46 % (17059)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_16786 for (2399ds/902Mi) 0.22/0.46 % (17060)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_16786 for (2399ds/21Mi) 0.22/0.46 % (17058)Instruction limit reached! 0.22/0.46 % (17058)------------------------------ 0.22/0.46 % (17058)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.46 % (17058)Termination reason: Unknown 0.22/0.46 % (17058)Termination phase: Saturation 0.22/0.46 0.22/0.46 % (17058)Memory used [KB]: 5500 0.22/0.46 % (17058)Time elapsed: 0.006 s 0.22/0.46 % (17058)Instructions burned: 6 (million) 0.22/0.46 % (17058)------------------------------ 0.22/0.46 % (17058)------------------------------ 0.22/0.46 % (17061)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_16786 for (2399ds/5Mi) 0.22/0.46 % (17059)Refutation not found, incomplete strategy 0.22/0.46 % (17059)------------------------------ 0.22/0.46 % (17059)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.46 % (17059)Termination reason: Refutation not found, incomplete strategy 0.22/0.46 0.22/0.46 0.22/0.46 % (17059)Memory used [KB]: 5500 0.22/0.46 % (17059)Time elapsed: 0.004 s 0.22/0.46 % (17059)Instructions burned: 3 (million) 0.22/0.46 % (17059)------------------------------ 0.22/0.46 % (17059)------------------------------ 0.22/0.46 % (17061)Instruction limit reached! 0.22/0.46 % (17061)------------------------------ 0.22/0.46 % (17061)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.46 % (17061)Termination reason: Unknown 0.22/0.46 % (17061)Termination phase: Saturation 0.22/0.46 0.22/0.46 % (17061)Memory used [KB]: 5500 0.22/0.46 % (17061)Time elapsed: 0.005 s 0.22/0.46 % (17061)Instructions burned: 6 (million) 0.22/0.46 % (17061)------------------------------ 0.22/0.46 % (17061)------------------------------ 0.22/0.47 % (17062)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_16786 for (2399ds/6Mi) 0.22/0.47 % (17060)Instruction limit reached! 0.22/0.47 % (17060)------------------------------ 0.22/0.47 % (17060)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.47 % (17060)Termination reason: Unknown 0.22/0.47 % (17060)Termination phase: Saturation 0.22/0.47 0.22/0.47 % (17060)Memory used [KB]: 5628 0.22/0.47 % (17060)Time elapsed: 0.015 s 0.22/0.47 % (17060)Instructions burned: 21 (million) 0.22/0.47 % (17060)------------------------------ 0.22/0.47 % (17060)------------------------------ 0.22/0.47 % (17062)Instruction limit reached! 0.22/0.47 % (17062)------------------------------ 0.22/0.47 % (17062)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.47 % (17062)Termination reason: Unknown 0.22/0.47 % (17062)Termination phase: Saturation 0.22/0.47 0.22/0.47 % (17062)Memory used [KB]: 5500 0.22/0.47 % (17062)Time elapsed: 0.006 s 0.22/0.47 % (17062)Instructions burned: 7 (million) 0.22/0.47 % (17062)------------------------------ 0.22/0.47 % (17062)------------------------------ 0.22/0.48 % (17063)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_16786 for (2399ds/377Mi) 0.22/0.48 % (17065)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_16786 for (2399ds/19Mi) 0.22/0.48 % (17064)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_16786 for (2399ds/779Mi) 0.22/0.48 % (17065)Refutation not found, incomplete strategy 0.22/0.48 % (17065)------------------------------ 0.22/0.48 % (17065)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.48 % (17065)Termination reason: Refutation not found, incomplete strategy 0.22/0.48 0.22/0.48 0.22/0.48 % (17065)Memory used [KB]: 5500 0.22/0.48 % (17065)Time elapsed: 0.004 s 0.22/0.48 % (17065)Instructions burned: 4 (million) 0.22/0.48 % (17065)------------------------------ 0.22/0.48 % (17065)------------------------------ 0.22/0.49 % (17066)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_16786 for (2399ds/879Mi) 0.22/0.49 % (17037)Instruction limit reached! 0.22/0.49 % (17037)------------------------------ 0.22/0.49 % (17037)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.49 % (17037)Termination reason: Unknown 0.22/0.49 % (17037)Termination phase: Saturation 0.22/0.49 0.22/0.49 % (17037)Memory used [KB]: 6780 0.22/0.49 % (17037)Time elapsed: 0.103 s 0.22/0.49 % (17037)Instructions burned: 183 (million) 0.22/0.49 % (17037)------------------------------ 0.22/0.49 % (17037)------------------------------ 0.22/0.49 % (17067)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_16786 for (2399ds/17Mi) 0.22/0.49 % (17066)Refutation not found, incomplete strategy 0.22/0.49 % (17066)------------------------------ 0.22/0.49 % (17066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.49 % (17066)Termination reason: Refutation not found, incomplete strategy 0.22/0.49 0.22/0.49 0.22/0.49 % (17066)Memory used [KB]: 5500 0.22/0.49 % (17066)Time elapsed: 0.007 s 0.22/0.49 % (17066)Instructions burned: 8 (million) 0.22/0.49 % (17066)------------------------------ 0.22/0.49 % (17066)------------------------------ 0.22/0.50 % (17063)First to succeed. 0.22/0.50 % (17069)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_16786 for (2399ds/3Mi) 0.22/0.50 % (17069)Instruction limit reached! 0.22/0.50 % (17069)------------------------------ 0.22/0.50 % (17069)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.50 % (17069)Termination reason: Unknown 0.22/0.50 % (17069)Termination phase: Saturation 0.22/0.50 0.22/0.50 % (17069)Memory used [KB]: 1023 0.22/0.50 % (17069)Time elapsed: 0.004 s 0.22/0.50 % (17069)Instructions burned: 4 (million) 0.22/0.50 % (17069)------------------------------ 0.22/0.50 % (17069)------------------------------ 0.22/0.50 % (17063)Refutation found. Thanks to Tanya! 0.22/0.50 % SZS status Theorem for E---3.1_16786 0.22/0.50 % SZS output start Proof for E---3.1_16786 0.22/0.50 thf(func_def_0, type, num: $tType). 0.22/0.50 thf(func_def_1, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o). 0.22/0.50 thf(func_def_8, type, lYearFn_THFTYPE_IiiI: $i > $i). 0.22/0.50 thf(func_def_9, type, likes_THFTYPE_IiioI: $i > $i > $o). 0.22/0.50 thf(func_def_11, type, parent_THFTYPE_IiioI: $i > $i > $o). 0.22/0.50 thf(func_def_23, type, ph1: !>[X0: $tType]:(X0)). 0.22/0.50 thf(func_def_24, type, sK2: ($i > $i > $o) > $i). 0.22/0.50 thf(func_def_25, type, sK3: ($i > $i > $o) > $i). 0.22/0.50 thf(func_def_26, type, sK4: ($i > $i > $o) > $i). 0.22/0.50 thf(func_def_27, type, sK5: ($i > $i > $o) > $i). 0.22/0.50 thf(f345,plain,( 0.22/0.50 $false), 0.22/0.50 inference(avatar_sat_refutation,[status(thm)],[f86,f169,f214,f233,f246,f247,f284,f308,f343])). 0.22/0.50 thf(f343,plain,( 0.22/0.50 spl0_1 | ~spl0_3 | ~spl0_18), 0.22/0.50 inference(avatar_contradiction_clause,[status(thm)],[f342])). 0.22/0.50 thf(f342,plain,( 0.22/0.50 $false | (spl0_1 | ~spl0_3 | ~spl0_18)), 0.22/0.50 inference(trivial_inequality_removal,[status(thm)],[f334])). 0.22/0.50 thf(f334,plain,( 0.22/0.50 ($false = $true) | (spl0_1 | ~spl0_3 | ~spl0_18)), 0.22/0.50 inference(superposition,[status(thm)],[f81,f323])). 0.22/0.50 thf(f323,plain,( 0.22/0.50 ( ! [X0 : $i,X1 : $i] : (((likes_THFTYPE_IiioI @ X0 @ X1) = $true)) ) | (spl0_1 | ~spl0_18)), 0.22/0.50 inference(trivial_inequality_removal,[status(thm)],[f317])). 0.22/0.50 thf(f317,plain,( 0.22/0.50 ( ! [X0 : $i,X1 : $i] : (((likes_THFTYPE_IiioI @ X0 @ X1) = $true) | ($false != $false)) ) | (spl0_1 | ~spl0_18)), 0.22/0.50 inference(superposition,[status(thm)],[f53,f283])). 0.22/0.50 thf(f283,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X3 : $i,X4 : $i] : (($false = (X2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) | ((X2 @ X3 @ X4) = $true)) ) | ~spl0_18), 0.22/0.50 inference(avatar_component_clause,[status(thm)],[f282])). 0.22/0.50 thf(f282,definition,( 0.22/0.50 spl0_18 <=> ! [X2 : $i > $i > $o,X3 : $i,X4 : $i] : (($false = (X2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) | ((X2 @ X3 @ X4) = $true))), 0.22/0.50 introduced(definition,[new_symbols(naming,[spl0_18])],[avatar_definition])). 0.22/0.50 thf(f53,plain,( 0.22/0.50 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) != $false) | spl0_1), 0.22/0.50 inference(avatar_component_clause,[status(thm)],[f52])). 0.22/0.50 thf(f52,definition,( 0.22/0.50 spl0_1 <=> ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $false)), 0.22/0.50 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])). 0.22/0.50 thf(f81,plain,( 0.22/0.50 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i) = $false) | ~spl0_3), 0.22/0.50 inference(avatar_component_clause,[status(thm)],[f79])). 0.22/0.50 thf(f79,definition,( 0.22/0.50 spl0_3 <=> ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i) = $false)), 0.22/0.50 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])). 0.22/0.50 thf(f308,plain,( 0.22/0.50 ~spl0_16 | ~spl0_17), 0.22/0.50 inference(avatar_contradiction_clause,[status(thm)],[f307])). 0.22/0.50 thf(f307,plain,( 0.22/0.50 $false | (~spl0_16 | ~spl0_17)), 0.22/0.50 inference(trivial_inequality_removal,[status(thm)],[f300])). 0.22/0.50 thf(f300,plain,( 0.22/0.50 ($false = $true) | (~spl0_16 | ~spl0_17)), 0.22/0.50 inference(superposition,[status(thm)],[f245,f280])). 0.22/0.50 thf(f280,plain,( 0.22/0.50 ( ! [X0 : $i,X1 : $i] : (($true = (parent_THFTYPE_IiioI @ X0 @ X1))) ) | ~spl0_17), 0.22/0.50 inference(avatar_component_clause,[status(thm)],[f279])). 0.22/0.50 thf(f279,definition,( 0.22/0.50 spl0_17 <=> ! [X0 : $i,X1 : $i] : ($true = (parent_THFTYPE_IiioI @ X0 @ X1))), 0.22/0.50 introduced(definition,[new_symbols(naming,[spl0_17])],[avatar_definition])). 0.22/0.50 thf(f245,plain,( 0.22/0.50 ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i) = $false) | ~spl0_16), 0.22/0.50 inference(avatar_component_clause,[status(thm)],[f243])). 0.22/0.50 thf(f243,definition,( 0.22/0.50 spl0_16 <=> ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i) = $false)), 0.22/0.50 introduced(definition,[new_symbols(naming,[spl0_16])],[avatar_definition])). 0.22/0.50 thf(f284,plain,( 0.22/0.50 spl0_17 | spl0_18 | spl0_4 | ~spl0_6), 0.22/0.50 inference(avatar_split_clause,[status(thm)],[f277,f167,f83,f282,f279])). 0.22/0.50 thf(f83,definition,( 0.22/0.50 spl0_4 <=> ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true)), 0.22/0.50 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])). 0.22/0.50 thf(f167,definition,( 0.22/0.50 spl0_6 <=> ! [X5 : $i,X3 : $i,X4 : $i,X0 : $i > $i > $o,X6 : $i,X2 : $i > $i > $o,X1 : $i] : (((X2 @ X3 @ X6) = $true) | ((X0 @ X4 @ X5) = $true) | ($false = (X0 @ X1 @ lBill_THFTYPE_i)) | ($false = (X2 @ X1 @ lAnna_THFTYPE_i)))), 0.22/0.50 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])). 0.22/0.50 thf(f277,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = (parent_THFTYPE_IiioI @ X0 @ X1)) | ($false = (X2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) | ((X2 @ X3 @ X4) = $true)) ) | (spl0_4 | ~spl0_6)), 0.22/0.50 inference(trivial_inequality_removal,[status(thm)],[f276])). 0.22/0.50 thf(f276,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = (parent_THFTYPE_IiioI @ X0 @ X1)) | ($false = (X2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) | ((X2 @ X3 @ X4) = $true) | ($false = $true)) ) | (spl0_4 | ~spl0_6)), 0.22/0.50 inference(forward_demodulation,[status(thm)],[f266,f256])). 0.22/0.50 thf(f256,plain,( 0.22/0.50 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $false) | spl0_4), 0.22/0.50 inference(trivial_inequality_removal,[status(thm)],[f255])). 0.22/0.50 thf(f255,plain,( 0.22/0.50 ($true != $true) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $false) | spl0_4), 0.22/0.50 inference(fool_paramodulation,[status(thm)],[f84])). 0.22/0.50 thf(f84,plain,( 0.22/0.50 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true) | spl0_4), 0.22/0.50 inference(avatar_component_clause,[status(thm)],[f83])). 0.22/0.50 thf(f266,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = (X2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true) | ((X2 @ X3 @ X4) = $true) | ($true = (parent_THFTYPE_IiioI @ X0 @ X1))) ) | ~spl0_6), 0.22/0.50 inference(superposition,[status(thm)],[f44,f168])). 0.22/0.50 thf(f168,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (X2 @ X1 @ lAnna_THFTYPE_i)) | ((X2 @ X3 @ X6) = $true) | ($false = (X0 @ X1 @ lBill_THFTYPE_i)) | ((X0 @ X4 @ X5) = $true)) ) | ~spl0_6), 0.22/0.50 inference(avatar_component_clause,[status(thm)],[f167])). 0.22/0.50 thf(f44,plain,( 0.22/0.50 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) = $true)), 0.22/0.50 inference(cnf_transformation,[status(thm)],[f31])). 0.22/0.50 thf(f31,plain,( 0.22/0.50 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) = $true)), 0.22/0.50 inference(fool_elimination,[status(thm)],[f30])). 0.22/0.50 thf(f30,plain,( 0.22/0.50 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i))), 0.22/0.50 inference(rectify,[status(thm)],[f11])). 0.22/0.50 thf(f11,axiom,( 0.22/0.50 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i))), 0.22/0.50 file('/export/starexec/sandbox/tmp/tmp.tFJZGvij6z/E---3.1_16786.p',ax_007)). 0.22/0.50 thf(f247,plain,( 0.22/0.50 spl0_4 | ~spl0_1), 0.22/0.50 inference(avatar_split_clause,[status(thm)],[f195,f52,f83])). 0.22/0.50 thf(f195,plain,( 0.22/0.50 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true) | ~spl0_1), 0.22/0.50 inference(backward_demodulation,[status(thm)],[f37,f54])). 0.22/0.50 thf(f54,plain,( 0.22/0.50 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $false) | ~spl0_1), 0.22/0.50 inference(avatar_component_clause,[status(thm)],[f52])). 0.22/0.50 thf(f37,plain,( 0.22/0.50 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true)), 0.22/0.50 inference(cnf_transformation,[status(thm)],[f29])). 0.22/0.50 thf(f29,plain,( 0.22/0.50 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true)), 0.22/0.50 inference(fool_elimination,[status(thm)],[f28])). 0.22/0.50 thf(f28,plain,( 0.22/0.50 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))), 0.22/0.50 inference(rectify,[status(thm)],[f4])). 0.22/0.50 thf(f4,axiom,( 0.22/0.50 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))), 0.22/0.50 file('/export/starexec/sandbox/tmp/tmp.tFJZGvij6z/E---3.1_16786.p',ax_003)). 0.22/0.50 thf(f246,plain,( 0.22/0.50 spl0_4 | spl0_16), 0.22/0.50 inference(avatar_split_clause,[status(thm)],[f105,f243,f83])). 0.22/0.50 thf(f105,plain,( 0.22/0.50 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true) | ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i) = $false)), 0.22/0.50 inference(boolean_simplification,[status(thm)],[f102])). 0.22/0.50 thf(f102,plain,( 0.22/0.50 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true)) = $true) | ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i) = $false)), 0.22/0.50 inference(fool_paramodulation,[status(thm)],[f47])). 0.22/0.50 thf(f47,plain,( 0.22/0.50 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i))) = $true)), 0.22/0.50 inference(cnf_transformation,[status(thm)],[f35])). 0.22/0.50 thf(f35,plain,( 0.22/0.50 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i))) = $true)), 0.22/0.50 inference(fool_elimination,[status(thm)],[f34])). 0.22/0.50 thf(f34,plain,( 0.22/0.50 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i)))), 0.22/0.50 inference(rectify,[status(thm)],[f3])). 0.22/0.50 thf(f3,axiom,( 0.22/0.50 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i)))), 0.22/0.50 file('/export/starexec/sandbox/tmp/tmp.tFJZGvij6z/E---3.1_16786.p',ax_005)). 0.22/0.50 thf(f233,plain,( 0.22/0.50 ~spl0_4), 0.22/0.50 inference(avatar_contradiction_clause,[status(thm)],[f232])). 0.22/0.50 thf(f232,plain,( 0.22/0.50 $false | ~spl0_4), 0.22/0.50 inference(flex-flex_simplify,[status(thm)],[f231])). 0.22/0.50 thf(f231,plain,( 0.22/0.50 ( ! [X1 : $tType,X3 : $i > $i > X1,X4 : $i > $i > X1] : (((X3 @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X4 @ Y0 @ Y1) = (X3 @ Y0 @ Y1)))))) @ (sK5 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X4 @ Y0 @ Y1) = (X3 @ Y0 @ Y1))))))) != (X4 @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X4 @ Y0 @ Y1) = (X3 @ Y0 @ Y1)))))) @ (sK5 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X4 @ Y0 @ Y1) = (X3 @ Y0 @ Y1))))))))) ) | ~spl0_4), 0.22/0.50 inference(equality_proxy_clausification,[status(thm)],[f230])). 0.22/0.50 thf(f230,plain,( 0.22/0.50 ( ! [X1 : $tType,X3 : $i > $i > X1,X4 : $i > $i > X1] : (($false = ((X4 @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X4 @ Y0 @ Y1) = (X3 @ Y0 @ Y1)))))) @ (sK5 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X4 @ Y0 @ Y1) = (X3 @ Y0 @ Y1))))))) = (X3 @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X4 @ Y0 @ Y1) = (X3 @ Y0 @ Y1)))))) @ (sK5 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X4 @ Y0 @ Y1) = (X3 @ Y0 @ Y1)))))))))) ) | ~spl0_4), 0.22/0.50 inference(beta_eta_normalization,[status(thm)],[f226])). 0.22/0.50 thf(f226,plain,( 0.22/0.50 ( ! [X1 : $tType,X3 : $i > $i > X1,X4 : $i > $i > X1] : ((((^[Y0 : $i]: ((^[Y1 : $i]: ((X4 @ Y0 @ Y1) = (X3 @ Y0 @ Y1))))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X4 @ Y0 @ Y1) = (X3 @ Y0 @ Y1)))))) @ (sK5 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((X4 @ Y0 @ Y1) = (X3 @ Y0 @ Y1))))))) = $false)) ) | ~spl0_4), 0.22/0.50 inference(primitive_instantiation,[status(thm)],[f171])). 0.22/0.50 thf(f171,plain,( 0.22/0.50 ( ! [X0 : $i > $i > $o] : (((X0 @ (sK4 @ X0) @ (sK5 @ X0)) = $false)) ) | ~spl0_4), 0.22/0.50 inference(trivial_inequality_removal,[status(thm)],[f170])). 0.22/0.50 thf(f170,plain,( 0.22/0.50 ( ! [X0 : $i > $i > $o] : (($true != $true) | ((X0 @ (sK4 @ X0) @ (sK5 @ X0)) = $false)) ) | ~spl0_4), 0.22/0.50 inference(forward_demodulation,[status(thm)],[f137,f85])). 0.22/0.50 thf(f85,plain,( 0.22/0.50 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true) | ~spl0_4), 0.22/0.50 inference(avatar_component_clause,[status(thm)],[f83])). 0.22/0.50 thf(f137,plain,( 0.22/0.50 ( ! [X0 : $i > $i > $o] : (((X0 @ (sK4 @ X0) @ (sK5 @ X0)) = $false) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true)) )), 0.22/0.50 inference(sigma_clausification,[status(thm)],[f136])). 0.22/0.50 thf(f136,plain,( 0.22/0.50 ( ! [X0 : $i > $i > $o] : (($false = (!! @ $i @ (X0 @ (sK4 @ X0)))) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true)) )), 0.22/0.50 inference(beta_eta_normalization,[status(thm)],[f135])). 0.22/0.50 thf(f135,plain,( 0.22/0.50 ( ! [X0 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true) | ($false = ((^[Y0 : $i]: (!! @ $i @ (X0 @ Y0))) @ (sK4 @ X0)))) )), 0.22/0.50 inference(sigma_clausification,[status(thm)],[f134])). 0.22/0.50 thf(f134,plain,( 0.22/0.50 ( ! [X0 : $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0))))) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true)) )), 0.22/0.50 inference(boolean_simplification,[status(thm)],[f133])). 0.22/0.50 thf(f133,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0))))) & (X0 @ X1 @ lBill_THFTYPE_i)) & (X2 @ X1 @ lAnna_THFTYPE_i)) & $false))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0)))))) )), 0.22/0.50 inference(boolean_simplification,[status(thm)],[f113])). 0.22/0.50 thf(f113,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0))))) & (X0 @ X1 @ lBill_THFTYPE_i)) & (X2 @ X1 @ lAnna_THFTYPE_i)) & (~ $true))) != $true) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0)))))) )), 0.22/0.50 inference(fool_paramodulation,[status(thm)],[f48])). 0.22/0.50 thf(f48,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0))))) & (X0 @ X1 @ lBill_THFTYPE_i)) & (X2 @ X1 @ lAnna_THFTYPE_i)) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0))))))))) )), 0.22/0.50 inference(beta_eta_normalization,[status(thm)],[f42])). 0.22/0.50 thf(f42,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y0 @ Y1)))))) & (X0 @ X1 @ lBill_THFTYPE_i)) & (X2 @ X1 @ lAnna_THFTYPE_i)) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1)))))))) != $true)) )), 0.22/0.50 inference(cnf_transformation,[status(thm)],[f36])). 0.22/0.50 thf(f36,plain,( 0.22/0.50 ! [X0 : $i > $i > $o,X1 : $i,X2 : $i > $i > $o] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y0 @ Y1)))))) & (X0 @ X1 @ lBill_THFTYPE_i)) & (X2 @ X1 @ lAnna_THFTYPE_i)) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1)))))))) != $true)), 0.22/0.50 inference(ennf_transformation,[status(thm)],[f25])). 0.22/0.50 thf(f25,plain,( 0.22/0.50 ~? [X0 : $i > $i > $o,X1 : $i,X2 : $i > $i > $o] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y0 @ Y1)))))) & (X0 @ X1 @ lBill_THFTYPE_i)) & (X2 @ X1 @ lAnna_THFTYPE_i)) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1)))))))) = $true)), 0.22/0.50 inference(fool_elimination,[status(thm)],[f24])). 0.22/0.50 thf(f24,plain,( 0.22/0.50 ~? [X0 : $i > $i > $o,X1 : $i,X2 : $i > $i > $o] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ! [X3 : $i,X4 : $i] : (X0 @ X4 @ X3)) & (X2 @ X1 @ lAnna_THFTYPE_i) & (X0 @ X1 @ lBill_THFTYPE_i) & (~ ! [X5 : $i,X6 : $i] : (X2 @ X6 @ X5)))), 0.22/0.50 inference(rectify,[status(thm)],[f6])). 0.22/0.50 thf(f6,negated_conjecture,( 0.22/0.50 ~? [X1 : $i > $i > $o,X2 : $i,X0 : $i > $i > $o] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ! [X4 : $i,X3 : $i] : (X1 @ X3 @ X4)) & (X0 @ X2 @ lAnna_THFTYPE_i) & (X1 @ X2 @ lBill_THFTYPE_i) & (~ ! [X4 : $i,X3 : $i] : (X0 @ X3 @ X4)))), 0.22/0.50 inference(negated_conjecture,[status(cth)],[f5])). 0.22/0.50 thf(f5,conjecture,( 0.22/0.50 ? [X1 : $i > $i > $o,X2 : $i,X0 : $i > $i > $o] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ! [X4 : $i,X3 : $i] : (X1 @ X3 @ X4)) & (X0 @ X2 @ lAnna_THFTYPE_i) & (X1 @ X2 @ lBill_THFTYPE_i) & (~ ! [X4 : $i,X3 : $i] : (X0 @ X3 @ X4)))), 0.22/0.50 file('/export/starexec/sandbox/tmp/tmp.tFJZGvij6z/E---3.1_16786.p',con)). 0.22/0.50 thf(f214,plain,( 0.22/0.50 spl0_2 | ~spl0_3), 0.22/0.50 inference(avatar_split_clause,[status(thm)],[f88,f79,f56])). 0.22/0.50 thf(f56,definition,( 0.22/0.50 spl0_2 <=> ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) = $true)), 0.22/0.50 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])). 0.22/0.50 thf(f88,plain,( 0.22/0.50 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) = $true) | ~spl0_3), 0.22/0.50 inference(boolean_simplification,[status(thm)],[f87])). 0.22/0.50 thf(f87,plain,( 0.22/0.50 ($true = (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $false))) | ~spl0_3), 0.22/0.50 inference(backward_demodulation,[status(thm)],[f38,f81])). 0.22/0.50 thf(f38,plain,( 0.22/0.50 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))) = $true)), 0.22/0.50 inference(cnf_transformation,[status(thm)],[f17])). 0.22/0.50 thf(f17,plain,( 0.22/0.50 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))) = $true)), 0.22/0.50 inference(fool_elimination,[status(thm)],[f16])). 0.22/0.50 thf(f16,plain,( 0.22/0.50 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))), 0.22/0.50 inference(rectify,[status(thm)],[f1])). 0.22/0.50 thf(f1,axiom,( 0.22/0.50 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))), 0.22/0.50 file('/export/starexec/sandbox/tmp/tmp.tFJZGvij6z/E---3.1_16786.p',ax_009)). 0.22/0.50 thf(f169,plain,( 0.22/0.50 ~spl0_2 | spl0_6), 0.22/0.50 inference(avatar_split_clause,[status(thm)],[f153,f167,f56])). 0.22/0.50 thf(f153,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ((X2 @ X3 @ X6) = $true) | ($false = (X2 @ X1 @ lAnna_THFTYPE_i)) | ((X0 @ X4 @ X5) = $true) | ($false = (X0 @ X1 @ lBill_THFTYPE_i))) )), 0.22/0.50 inference(pi_clausification,[status(thm)],[f152])). 0.22/0.50 thf(f152,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i,X4 : $i,X5 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ($false = (X2 @ X1 @ lAnna_THFTYPE_i)) | ($true = (!! @ $i @ (X2 @ X3))) | ($false = (X0 @ X1 @ lBill_THFTYPE_i)) | ((X0 @ X4 @ X5) = $true)) )), 0.22/0.50 inference(pi_clausification,[status(thm)],[f151])). 0.22/0.50 thf(f151,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i,X4 : $i] : (($false = (X2 @ X1 @ lAnna_THFTYPE_i)) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ($false = (X0 @ X1 @ lBill_THFTYPE_i)) | ((!! @ $i @ (X0 @ X4)) = $true) | ($true = (!! @ $i @ (X2 @ X3)))) )), 0.22/0.50 inference(beta_eta_normalization,[status(thm)],[f150])). 0.22/0.50 thf(f150,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i,X4 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ($false = (X2 @ X1 @ lAnna_THFTYPE_i)) | ($true = ((^[Y0 : $i]: (!! @ $i @ (X0 @ Y0))) @ X4)) | ($true = (!! @ $i @ (X2 @ X3))) | ($false = (X0 @ X1 @ lBill_THFTYPE_i))) )), 0.22/0.50 inference(pi_clausification,[status(thm)],[f149])). 0.22/0.50 thf(f149,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0)))) = $true) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ($false = (X2 @ X1 @ lAnna_THFTYPE_i)) | ($true = (!! @ $i @ (X2 @ X3))) | ($false = (X0 @ X1 @ lBill_THFTYPE_i))) )), 0.22/0.50 inference(beta_eta_normalization,[status(thm)],[f148])). 0.22/0.50 thf(f148,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i] : (($false = (X0 @ X1 @ lBill_THFTYPE_i)) | (((^[Y0 : $i]: (!! @ $i @ (X2 @ Y0))) @ X3) = $true) | ($false = (X2 @ X1 @ lAnna_THFTYPE_i)) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0)))) = $true) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true)) )), 0.22/0.50 inference(pi_clausification,[status(thm)],[f147])). 0.22/0.50 thf(f147,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0)))) = $true) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0)))) = $true) | ($false = (X2 @ X1 @ lAnna_THFTYPE_i)) | ($false = (X0 @ X1 @ lBill_THFTYPE_i))) )), 0.22/0.50 inference(not_proxy_clausification,[status(thm)],[f146])). 0.22/0.50 thf(f146,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (($false = (X0 @ X1 @ lBill_THFTYPE_i)) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0)))))) | ($false = (X2 @ X1 @ lAnna_THFTYPE_i)) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0)))) = $true)) )), 0.22/0.50 inference(binary_proxy_clausification,[status(thm)],[f145])). 0.22/0.50 thf(f145,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (($false = ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0))))) & (X0 @ X1 @ lBill_THFTYPE_i))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0)))) = $true) | ($false = (X2 @ X1 @ lAnna_THFTYPE_i)) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true)) )), 0.22/0.50 inference(not_proxy_clausification,[status(thm)],[f144])). 0.22/0.50 thf(f144,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0))))) = $false) | ($false = (X2 @ X1 @ lAnna_THFTYPE_i)) | ($false = ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0))))) & (X0 @ X1 @ lBill_THFTYPE_i)))) )), 0.22/0.50 inference(binary_proxy_clausification,[status(thm)],[f143])). 0.22/0.50 thf(f143,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (((((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0))))) & (X0 @ X1 @ lBill_THFTYPE_i)) & (X2 @ X1 @ lAnna_THFTYPE_i)) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0))))) = $false) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true)) )), 0.22/0.50 inference(binary_proxy_clausification,[status(thm)],[f115])). 0.22/0.50 thf(f115,plain,( 0.22/0.50 ( ! [X2 : $i > $i > $o,X0 : $i > $i > $o,X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ($false = ((((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0))))) & (X0 @ X1 @ lBill_THFTYPE_i)) & (X2 @ X1 @ lAnna_THFTYPE_i)) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0)))))))) )), 0.22/0.50 inference(fool_paramodulation,[status(thm)],[f48])). 0.22/0.50 thf(f86,plain,( 0.22/0.50 spl0_3 | spl0_4), 0.22/0.50 inference(avatar_split_clause,[status(thm)],[f76,f83,f79])). 0.22/0.50 thf(f76,plain,( 0.22/0.50 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true) | ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i) = $false)), 0.22/0.50 inference(boolean_simplification,[status(thm)],[f73])). 0.22/0.50 thf(f73,plain,( 0.22/0.50 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i) = $false) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true)) = $true)), 0.22/0.50 inference(fool_paramodulation,[status(thm)],[f38])). 0.22/0.50 % SZS output end Proof for E---3.1_16786 0.22/0.50 % (17063)------------------------------ 0.22/0.50 % (17063)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.50 % (17063)Termination reason: Refutation 0.22/0.50 0.22/0.50 % (17063)Memory used [KB]: 5756 0.22/0.50 % (17063)Time elapsed: 0.025 s 0.22/0.50 % (17063)Instructions burned: 30 (million) 0.22/0.50 % (17063)------------------------------ 0.22/0.50 % (17063)------------------------------ 0.22/0.50 % (17036)Success in time 0.115 s 0.22/0.50 EOF