0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_vampire %s %d THM 0.16/0.41 % Computer : n008.cluster.edu 0.16/0.41 % Model : x86_64 x86_64 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.41 % Memory : 8046.5625MB 0.16/0.41 % OS : Linux 6.8.0-71-generic 0.16/0.41 % CPULimit : 1440 0.16/0.41 % WCLimit : 180 0.16/0.41 % DateTime : Mon Jul 27 09:38:42 UTC 2026 0.16/0.42 % CPUTime : 0.16/0.46 This is a THF_ problem 0.16/0.47 Running higher-order theorem proving 0.16/0.49 Running /export/starexec/sandbox2/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/sandbox2/tmp/tmp.Mh0If3pBPR/E---3.1_958091.p -m 16384 -t 180 0.28/0.53 % (958140)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_958091 for (1799ds/275Mi) 0.28/0.53 % (958140)Refutation not found, incomplete strategy 0.28/0.53 % (958140)------------------------------ 0.28/0.53 % (958140)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.28/0.53 % (958140)Termination reason: Refutation not found, incomplete strategy 0.28/0.53 0.28/0.53 0.28/0.53 % (958140)Memory used [KB]: 5500 0.28/0.53 % (958140)Time elapsed: 0.005 s 0.28/0.53 % (958140)Instructions burned: 4 (million) 0.28/0.53 % (958140)------------------------------ 0.28/0.53 % (958140)------------------------------ 0.28/0.54 % (958141)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_958091 for (1799ds/18Mi) 0.28/0.54 % (958135)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_958091 for (1799ds/183Mi) 0.28/0.54 % (958139)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_958091 for (1799ds/2Mi) 0.28/0.54 % (958138)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_958091 for (1799ds/2Mi) 0.28/0.54 % (958137)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_958091 for (1799ds/27Mi) 0.28/0.54 % (958136)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_958091 for (1799ds/4Mi) 0.28/0.54 % (958139)Instruction limit reached! 0.28/0.54 % (958139)------------------------------ 0.28/0.54 % (958139)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.28/0.54 % (958139)Termination reason: Unknown 0.28/0.54 % (958139)Termination phase: Property scanning 0.28/0.54 0.28/0.54 % (958139)Memory used [KB]: 1023 0.28/0.54 % (958139)Time elapsed: 0.005 s 0.28/0.54 % (958139)Instructions burned: 2 (million) 0.28/0.54 % (958139)------------------------------ 0.28/0.54 % (958139)------------------------------ 0.28/0.54 % (958138)Instruction limit reached! 0.28/0.54 % (958138)------------------------------ 0.28/0.54 % (958138)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.28/0.54 % (958138)Termination reason: Unknown 0.28/0.54 % (958138)Termination phase: Property scanning 0.28/0.54 0.28/0.54 % (958138)Memory used [KB]: 895 0.28/0.54 % (958138)Time elapsed: 0.005 s 0.28/0.54 % (958138)Instructions burned: 2 (million) 0.28/0.54 % (958138)------------------------------ 0.28/0.54 % (958138)------------------------------ 0.28/0.54 % (958136)Instruction limit reached! 0.28/0.54 % (958136)------------------------------ 0.28/0.54 % (958136)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.28/0.54 % (958136)Termination reason: Unknown 0.28/0.54 % (958136)Termination phase: Saturation 0.28/0.54 0.28/0.54 % (958136)Memory used [KB]: 5500 0.28/0.54 % (958136)Time elapsed: 0.006 s 0.28/0.54 % (958136)Instructions burned: 4 (million) 0.28/0.54 % (958136)------------------------------ 0.28/0.54 % (958136)------------------------------ 0.28/0.55 % (958142)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_958091 for (1799ds/3Mi) 0.28/0.55 % (958137)Refutation not found, incomplete strategy 0.28/0.55 % (958137)------------------------------ 0.28/0.55 % (958137)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.28/0.55 % (958137)Termination reason: Refutation not found, incomplete strategy 0.28/0.55 0.28/0.55 0.28/0.55 % (958137)Memory used [KB]: 5500 0.28/0.55 % (958137)Time elapsed: 0.010 s 0.28/0.55 % (958137)Instructions burned: 7 (million) 0.28/0.55 % (958137)------------------------------ 0.28/0.55 % (958137)------------------------------ 0.28/0.55 % (958142)Instruction limit reached! 0.28/0.55 % (958142)------------------------------ 0.28/0.55 % (958142)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.28/0.55 % (958142)Termination reason: Unknown 0.28/0.55 % (958142)Termination phase: Saturation 0.28/0.55 0.28/0.55 % (958142)Memory used [KB]: 5500 0.28/0.55 % (958142)Time elapsed: 0.004 s 0.28/0.55 % (958142)Instructions burned: 3 (million) 0.28/0.55 % (958142)------------------------------ 0.28/0.55 % (958142)------------------------------ 0.28/0.56 % (958141)Instruction limit reached! 0.28/0.56 % (958141)------------------------------ 0.28/0.56 % (958141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.28/0.56 % (958141)Termination reason: Unknown 0.28/0.56 % (958141)Termination phase: Saturation 0.28/0.56 0.28/0.56 % (958141)Memory used [KB]: 5500 0.28/0.56 % (958141)Time elapsed: 0.021 s 0.28/0.56 % (958141)Instructions burned: 18 (million) 0.28/0.56 % (958141)------------------------------ 0.28/0.56 % (958141)------------------------------ 0.28/0.57 % (958146)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_958091 for (1799ds/1041Mi) 0.28/0.57 % (958143)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_958091 for (1799ds/37Mi) 0.28/0.57 % (958144)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_958091 for (1799ds/15Mi) 0.28/0.57 % (958146)Refutation not found, incomplete strategy 0.28/0.57 % (958146)------------------------------ 0.28/0.57 % (958146)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.28/0.57 % (958146)Termination reason: Refutation not found, incomplete strategy 0.28/0.57 0.28/0.57 0.28/0.57 % (958146)Memory used [KB]: 5628 0.28/0.57 % (958146)Time elapsed: 0.008 s 0.28/0.57 % (958146)Instructions burned: 11 (million) 0.28/0.57 % (958146)------------------------------ 0.28/0.57 % (958146)------------------------------ 0.28/0.58 % (958145)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_958091 for (1799ds/3Mi) 0.28/0.58 % (958145)Instruction limit reached! 0.28/0.58 % (958145)------------------------------ 0.28/0.58 % (958145)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.28/0.58 % (958145)Termination reason: Unknown 0.28/0.58 % (958145)Termination phase: Saturation 0.28/0.58 0.28/0.58 % (958145)Memory used [KB]: 5500 0.28/0.58 % (958145)Time elapsed: 0.006 s 0.28/0.58 % (958145)Instructions burned: 3 (million) 0.28/0.58 % (958145)------------------------------ 0.28/0.58 % (958145)------------------------------ 0.28/0.58 % (958147)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_958091 for (1799ds/7Mi) 0.28/0.59 % (958144)Instruction limit reached! 0.28/0.59 % (958144)------------------------------ 0.28/0.59 % (958144)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.28/0.59 % (958144)Termination reason: Unknown 0.28/0.59 % (958144)Termination phase: Saturation 0.28/0.59 0.28/0.59 % (958144)Memory used [KB]: 5628 0.28/0.59 % (958144)Time elapsed: 0.019 s 0.28/0.59 % (958144)Instructions burned: 15 (million) 0.28/0.59 % (958144)------------------------------ 0.28/0.59 % (958144)------------------------------ 0.28/0.59 % (958147)Instruction limit reached! 0.28/0.59 % (958147)------------------------------ 0.28/0.59 % (958147)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.28/0.59 % (958147)Termination reason: Unknown 0.28/0.59 % (958147)Termination phase: Saturation 0.28/0.59 0.28/0.59 % (958147)Memory used [KB]: 1023 0.28/0.59 % (958147)Time elapsed: 0.011 s 0.28/0.59 % (958147)Instructions burned: 7 (million) 0.28/0.59 % (958147)------------------------------ 0.28/0.59 % (958147)------------------------------ 0.28/0.59 % (958149)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_958091 for (1799ds/3Mi) 0.28/0.59 % (958149)Instruction limit reached! 0.28/0.59 % (958149)------------------------------ 0.28/0.59 % (958149)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.28/0.59 % (958149)Termination reason: Unknown 0.28/0.59 % (958149)Termination phase: Twee Goal Transformation 0.28/0.59 0.28/0.59 % (958149)Memory used [KB]: 1023 0.28/0.59 % (958149)Time elapsed: 0.004 s 0.28/0.59 % (958149)Instructions burned: 3 (million) 0.28/0.59 % (958149)------------------------------ 0.28/0.59 % (958149)------------------------------ 0.28/0.59 % (958148)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_958091 for (1799ds/16Mi) 0.28/0.60 % (958143)Instruction limit reached! 0.28/0.60 % (958143)------------------------------ 0.28/0.60 % (958143)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.28/0.60 % (958143)Termination reason: Unknown 0.28/0.60 % (958143)Termination phase: Saturation 0.28/0.60 0.28/0.60 % (958143)Memory used [KB]: 6012 0.28/0.60 % (958143)Time elapsed: 0.038 s 0.28/0.60 % (958143)Instructions burned: 37 (million) 0.28/0.60 % (958143)------------------------------ 0.28/0.60 % (958143)------------------------------ 0.79/0.61 % (958153)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_958091 for (1799ds/4Mi) 0.79/0.61 % (958148)Instruction limit reached! 0.79/0.61 % (958148)------------------------------ 0.79/0.61 % (958148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.79/0.61 % (958148)Termination reason: Unknown 0.79/0.61 % (958148)Termination phase: Saturation 0.79/0.61 0.79/0.61 % (958148)Memory used [KB]: 5628 0.79/0.61 % (958148)Time elapsed: 0.021 s 0.79/0.61 % (958148)Instructions burned: 16 (million) 0.79/0.61 % (958148)------------------------------ 0.79/0.61 % (958148)------------------------------ 0.79/0.61 % (958153)Instruction limit reached! 0.79/0.61 % (958153)------------------------------ 0.79/0.61 % (958153)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.79/0.61 % (958153)Termination reason: Unknown 0.79/0.61 % (958153)Termination phase: Saturation 0.79/0.61 0.79/0.61 % (958153)Memory used [KB]: 5500 0.79/0.61 % (958153)Time elapsed: 0.005 s 0.79/0.61 % (958153)Instructions burned: 5 (million) 0.79/0.61 % (958153)------------------------------ 0.79/0.61 % (958153)------------------------------ 0.79/0.61 % (958150)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_958091 for (1799ds/3Mi) 0.79/0.61 % (958150)Instruction limit reached! 0.79/0.61 % (958150)------------------------------ 0.79/0.61 % (958150)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.79/0.61 % (958150)Termination reason: Unknown 0.79/0.61 % (958150)Termination phase: Property scanning 0.79/0.61 0.79/0.61 % (958150)Memory used [KB]: 1023 0.79/0.61 % (958150)Time elapsed: 0.005 s 0.79/0.61 % (958150)Instructions burned: 3 (million) 0.79/0.61 % (958150)------------------------------ 0.79/0.61 % (958150)------------------------------ 0.79/0.62 % (958151)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_958091 for (1799ds/7Mi) 0.79/0.62 % (958152)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_958091 for (1799ds/3Mi) 0.79/0.62 % (958152)Instruction limit reached! 0.79/0.62 % (958152)------------------------------ 0.79/0.62 % (958152)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.79/0.62 % (958152)Termination reason: Unknown 0.79/0.62 % (958152)Termination phase: Saturation 0.79/0.62 0.79/0.62 % (958152)Memory used [KB]: 1023 0.79/0.62 % (958152)Time elapsed: 0.005 s 0.79/0.62 % (958152)Instructions burned: 3 (million) 0.79/0.62 % (958152)------------------------------ 0.79/0.62 % (958152)------------------------------ 0.79/0.62 % (958151)Instruction limit reached! 0.79/0.62 % (958151)------------------------------ 0.79/0.62 % (958151)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.79/0.62 % (958151)Termination reason: Unknown 0.79/0.62 % (958151)Termination phase: Saturation 0.79/0.62 0.79/0.62 % (958151)Memory used [KB]: 5500 0.79/0.62 % (958151)Time elapsed: 0.010 s 0.79/0.62 % (958151)Instructions burned: 7 (million) 0.79/0.62 % (958151)------------------------------ 0.79/0.62 % (958151)------------------------------ 0.79/0.62 % (958156)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_958091 for (1798ds/6Mi) 0.79/0.63 % (958156)Instruction limit reached! 0.79/0.63 % (958156)------------------------------ 0.79/0.63 % (958156)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.79/0.63 % (958156)Termination reason: Unknown 0.79/0.63 % (958156)Termination phase: Saturation 0.79/0.63 0.79/0.63 % (958156)Memory used [KB]: 5500 0.79/0.63 % (958156)Time elapsed: 0.006 s 0.79/0.63 % (958156)Instructions burned: 7 (million) 0.79/0.63 % (958156)------------------------------ 0.79/0.63 % (958156)------------------------------ 0.79/0.63 % (958154)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_958091 for (1799ds/18Mi) 0.79/0.64 % (958155)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_958091 for (1799ds/710Mi) 0.79/0.64 % (958154)Refutation not found, incomplete strategy 0.79/0.64 % (958154)------------------------------ 0.79/0.64 % (958154)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.79/0.64 % (958154)Termination reason: Refutation not found, incomplete strategy 0.79/0.64 0.79/0.64 0.79/0.64 % (958154)Memory used [KB]: 5500 0.79/0.64 % (958154)Time elapsed: 0.031 s 0.79/0.64 % (958154)Instructions burned: 7 (million) 0.79/0.64 % (958154)------------------------------ 0.79/0.64 % (958154)------------------------------ 0.79/0.64 % (958160)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_958091 for (1798ds/6Mi) 0.79/0.65 % (958157)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_958091 for (1798ds/902Mi) 0.79/0.65 % (958160)Instruction limit reached! 0.79/0.65 % (958160)------------------------------ 0.79/0.65 % (958160)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.79/0.65 % (958160)Termination reason: Unknown 0.79/0.65 % (958160)Termination phase: Saturation 0.79/0.65 0.79/0.65 % (958160)Memory used [KB]: 5500 0.79/0.65 % (958160)Time elapsed: 0.006 s 0.79/0.65 % (958160)Instructions burned: 8 (million) 0.79/0.65 % (958160)------------------------------ 0.79/0.65 % (958160)------------------------------ 0.79/0.65 % (958157)Refutation not found, incomplete strategy 0.79/0.65 % (958157)------------------------------ 0.79/0.65 % (958157)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.79/0.65 % (958157)Termination reason: Refutation not found, incomplete strategy 0.79/0.65 0.79/0.65 0.79/0.65 % (958157)Memory used [KB]: 5500 0.79/0.65 % (958157)Time elapsed: 0.007 s 0.79/0.65 % (958157)Instructions burned: 4 (million) 0.79/0.65 % (958157)------------------------------ 0.79/0.65 % (958157)------------------------------ 0.79/0.65 % (958158)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_958091 for (1798ds/21Mi) 1.14/0.66 % (958159)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_958091 for (1798ds/5Mi) 1.14/0.66 % (958159)Instruction limit reached! 1.14/0.66 % (958159)------------------------------ 1.14/0.66 % (958159)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.14/0.66 % (958159)Termination reason: Unknown 1.14/0.66 % (958159)Termination phase: Saturation 1.14/0.66 1.14/0.66 % (958159)Memory used [KB]: 5500 1.14/0.66 % (958159)Time elapsed: 0.008 s 1.14/0.66 % (958159)Instructions burned: 5 (million) 1.14/0.66 % (958159)------------------------------ 1.14/0.66 % (958159)------------------------------ 1.14/0.66 % (958162)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_958091 for (1798ds/779Mi) 1.14/0.67 % (958161)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_958091 for (1798ds/377Mi) 1.14/0.67 % (958158)Instruction limit reached! 1.14/0.67 % (958158)------------------------------ 1.14/0.67 % (958158)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.14/0.67 % (958158)Termination reason: Unknown 1.14/0.67 % (958158)Termination phase: Saturation 1.14/0.67 1.14/0.67 % (958158)Memory used [KB]: 5628 1.14/0.67 % (958158)Time elapsed: 0.024 s 1.14/0.67 % (958158)Instructions burned: 21 (million) 1.14/0.67 % (958158)------------------------------ 1.14/0.67 % (958158)------------------------------ 1.14/0.68 % (958163)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_958091 for (1798ds/19Mi) 1.14/0.69 % (958163)Refutation not found, incomplete strategy 1.14/0.69 % (958163)------------------------------ 1.14/0.69 % (958163)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.14/0.69 % (958163)Termination reason: Refutation not found, incomplete strategy 1.14/0.69 1.14/0.69 1.14/0.69 % (958163)Memory used [KB]: 5500 1.14/0.69 % (958163)Time elapsed: 0.009 s 1.14/0.69 % (958163)Instructions burned: 5 (million) 1.14/0.69 % (958163)------------------------------ 1.14/0.69 % (958163)------------------------------ 1.14/0.69 % (958164)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_958091 for (1798ds/879Mi) 1.32/0.70 % (958164)Refutation not found, incomplete strategy 1.32/0.70 % (958164)------------------------------ 1.32/0.70 % (958164)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.32/0.70 % (958164)Termination reason: Refutation not found, incomplete strategy 1.32/0.70 1.32/0.70 1.32/0.70 % (958164)Memory used [KB]: 5500 1.32/0.70 % (958164)Time elapsed: 0.011 s 1.32/0.70 % (958164)Instructions burned: 7 (million) 1.32/0.70 % (958164)------------------------------ 1.32/0.70 % (958164)------------------------------ 1.32/0.71 % (958165)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_958091 for (1798ds/17Mi) 1.32/0.71 % (958135)Instruction limit reached! 1.32/0.71 % (958135)------------------------------ 1.32/0.71 % (958135)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.32/0.71 % (958135)Termination reason: Unknown 1.32/0.71 % (958135)Termination phase: Saturation 1.32/0.71 1.32/0.71 % (958135)Memory used [KB]: 7036 1.32/0.71 % (958135)Time elapsed: 0.175 s 1.32/0.71 % (958135)Instructions burned: 183 (million) 1.32/0.71 % (958135)------------------------------ 1.32/0.71 % (958135)------------------------------ 1.32/0.71 % (958161)First to succeed. 1.32/0.72 % (958161)Refutation found. Thanks to Tanya! 1.32/0.72 % SZS status Theorem for E---3.1_958091 1.32/0.72 % SZS output start Proof for E---3.1_958091 1.32/0.72 thf(func_def_0, type, num: $tType). 1.32/0.72 thf(func_def_1, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o). 1.32/0.72 thf(func_def_8, type, lYearFn_THFTYPE_IiiI: $i > $i). 1.32/0.72 thf(func_def_9, type, likes_THFTYPE_IiioI: $i > $i > $o). 1.32/0.72 thf(func_def_11, type, parent_THFTYPE_IiioI: $i > $i > $o). 1.32/0.72 thf(func_def_23, type, ph1: !>[X0: $tType]:(X0)). 1.32/0.72 thf(func_def_24, type, sK2: ($i > $i > $o) > $i). 1.32/0.72 thf(func_def_25, type, sK3: ($i > $i > $o) > $i). 1.32/0.72 thf(func_def_26, type, sK4: ($i > $i > $o) > $i). 1.32/0.72 thf(func_def_27, type, sK5: ($i > $i > $o) > $i). 1.32/0.72 thf(f459,plain,( 1.32/0.72 $false), 1.32/0.72 inference(avatar_sat_refutation,[status(thm)],[f86,f162,f177,f189,f194,f412,f447])). 1.32/0.72 thf(f447,plain,( 1.32/0.72 spl0_2 | ~spl0_8), 1.32/0.72 inference(avatar_split_clause,[status(thm)],[f446,f191,f56])). 1.32/0.72 thf(f56,definition,( 1.32/0.72 spl0_2 <=> ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) = $true)), 1.32/0.72 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])). 1.32/0.72 thf(f191,definition,( 1.32/0.72 spl0_8 <=> ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i) = $false)), 1.32/0.72 introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition])). 1.32/0.72 thf(f446,plain,( 1.32/0.72 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) = $true) | ~spl0_8), 1.32/0.72 inference(trivial_inequality_removal,[status(thm)],[f445])). 1.32/0.72 thf(f445,plain,( 1.32/0.72 ($false = $true) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) = $true) | ~spl0_8), 1.32/0.72 inference(forward_demodulation,[status(thm)],[f91,f193])). 1.32/0.72 thf(f193,plain,( 1.32/0.72 ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i) = $false) | ~spl0_8), 1.32/0.72 inference(avatar_component_clause,[status(thm)],[f191])). 1.32/0.72 thf(f91,plain,( 1.32/0.72 ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i) = $true) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) = $true)), 1.32/0.72 inference(not_proxy_clausification,[status(thm)],[f89])). 1.32/0.72 thf(f89,plain,( 1.32/0.72 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) = $true) | ((~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i)) = $false)), 1.32/0.72 inference(fool_paramodulation,[status(thm)],[f45])). 1.32/0.72 thf(f45,plain,( 1.32/0.72 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i))) = $true)), 1.32/0.72 inference(cnf_transformation,[status(thm)],[f35])). 1.32/0.72 thf(f35,plain,( 1.32/0.72 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i))) = $true)), 1.32/0.72 inference(fool_elimination,[status(thm)],[f34])). 1.32/0.72 thf(f34,plain,( 1.32/0.72 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i)))), 1.32/0.72 inference(rectify,[status(thm)],[f6])). 1.32/0.72 thf(f6,axiom,( 1.32/0.72 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i)))), 1.32/0.72 file('/export/starexec/sandbox2/tmp/tmp.Mh0If3pBPR/E---3.1_958091.p',ax_005)). 1.32/0.72 thf(f412,plain,( 1.32/0.72 spl0_3 | ~spl0_4 | ~spl0_5 | ~spl0_7), 1.32/0.72 inference(avatar_contradiction_clause,[status(thm)],[f411])). 1.32/0.72 thf(f411,plain,( 1.32/0.72 $false | (spl0_3 | ~spl0_4 | ~spl0_5 | ~spl0_7)), 1.32/0.72 inference(trivial_inequality_removal,[status(thm)],[f410])). 1.32/0.72 thf(f410,plain,( 1.32/0.72 ($false = $true) | (spl0_3 | ~spl0_4 | ~spl0_5 | ~spl0_7)), 1.32/0.72 inference(forward_demodulation,[status(thm)],[f409,f206])). 1.32/0.72 thf(f206,plain,( 1.32/0.72 ($false = (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) | spl0_3), 1.32/0.72 inference(trivial_inequality_removal,[status(thm)],[f205])). 1.32/0.72 thf(f205,plain,( 1.32/0.72 ($true != $true) | ($false = (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) | spl0_3), 1.32/0.72 inference(fool_paramodulation,[status(thm)],[f80])). 1.32/0.72 thf(f80,plain,( 1.32/0.72 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true) | spl0_3), 1.32/0.72 inference(avatar_component_clause,[status(thm)],[f79])). 1.32/0.72 thf(f79,definition,( 1.32/0.72 spl0_3 <=> ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true)), 1.32/0.72 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])). 1.32/0.72 thf(f409,plain,( 1.32/0.72 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true) | (spl0_3 | ~spl0_4 | ~spl0_5 | ~spl0_7)), 1.32/0.72 inference(backward_demodulation,[status(thm)],[f43,f408])). 1.32/0.72 thf(f408,plain,( 1.32/0.72 ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i) = $false) | (spl0_3 | ~spl0_4 | ~spl0_5 | ~spl0_7)), 1.32/0.72 inference(trivial_inequality_removal,[status(thm)],[f407])). 1.32/0.72 thf(f407,plain,( 1.32/0.72 ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i) = $false) | ($false = $true) | (spl0_3 | ~spl0_4 | ~spl0_5 | ~spl0_7)), 1.32/0.72 inference(forward_demodulation,[status(thm)],[f389,f206])). 1.32/0.72 thf(f389,plain,( 1.32/0.72 ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i) = $false) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true) | (~spl0_4 | ~spl0_5 | ~spl0_7)), 1.32/0.72 inference(superposition,[status(thm)],[f41,f380])). 1.32/0.72 thf(f380,plain,( 1.32/0.72 ( ! [X0 : $i] : (($false = (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i)) | ((parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i) = $false)) ) | (~spl0_4 | ~spl0_5 | ~spl0_7)), 1.32/0.72 inference(trivial_inequality_removal,[status(thm)],[f338])). 1.32/0.72 thf(f338,plain,( 1.32/0.72 ( ! [X0 : $i] : (($false = $true) | ($false = (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i)) | ((parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i) = $false)) ) | (~spl0_4 | ~spl0_5 | ~spl0_7)), 1.32/0.72 inference(superposition,[status(thm)],[f236,f85])). 1.32/0.72 thf(f85,plain,( 1.32/0.72 ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i) = $false) | ~spl0_4), 1.32/0.72 inference(avatar_component_clause,[status(thm)],[f83])). 1.32/0.72 thf(f83,definition,( 1.32/0.72 spl0_4 <=> ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i) = $false)), 1.32/0.72 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])). 1.32/0.72 thf(f236,plain,( 1.32/0.72 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i > $i > $o] : (($true = (X1 @ X2 @ X3)) | ($false = (X1 @ X0 @ lAnna_THFTYPE_i)) | ($false = (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))) ) | (~spl0_5 | ~spl0_7)), 1.32/0.72 inference(trivial_inequality_removal,[status(thm)],[f216])). 1.32/0.72 thf(f216,plain,( 1.32/0.72 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i > $i > $o] : (($true = (X1 @ X2 @ X3)) | ($false = (X1 @ X0 @ lAnna_THFTYPE_i)) | ($false = (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i)) | ($false = $true)) ) | (~spl0_5 | ~spl0_7)), 1.32/0.72 inference(superposition,[status(thm)],[f161,f188])). 1.32/0.72 thf(f188,plain,( 1.32/0.72 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i) = $false) | ~spl0_7), 1.32/0.72 inference(avatar_component_clause,[status(thm)],[f186])). 1.32/0.72 thf(f186,definition,( 1.32/0.72 spl0_7 <=> ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i) = $false)), 1.32/0.72 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])). 1.32/0.72 thf(f161,plain,( 1.32/0.72 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i > $i > $o,X6 : $i,X4 : $i,X5 : $i] : (($true = (X1 @ X3 @ X5)) | ($false = (X1 @ X0 @ lBill_THFTYPE_i)) | ((X2 @ X4 @ X6) = $true) | ($false = (X2 @ X0 @ lAnna_THFTYPE_i))) ) | ~spl0_5), 1.32/0.72 inference(avatar_component_clause,[status(thm)],[f160])). 1.32/0.72 thf(f160,definition,( 1.32/0.72 spl0_5 <=> ! [X2 : $i > $i > $o,X3 : $i,X4 : $i,X0 : $i,X6 : $i,X5 : $i,X1 : $i > $i > $o] : (($true = (X1 @ X3 @ X5)) | ($false = (X1 @ X0 @ lBill_THFTYPE_i)) | ($false = (X2 @ X0 @ lAnna_THFTYPE_i)) | ((X2 @ X4 @ X6) = $true))), 1.32/0.72 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])). 1.32/0.72 thf(f41,plain,( 1.32/0.72 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)), 1.32/0.72 inference(cnf_transformation,[status(thm)],[f15])). 1.32/0.72 thf(f15,plain,( 1.32/0.72 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)), 1.32/0.72 inference(fool_elimination,[status(thm)],[f14])). 1.32/0.72 thf(f14,plain,( 1.32/0.72 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))), 1.32/0.72 inference(rectify,[status(thm)],[f12])). 1.32/0.72 thf(f12,axiom,( 1.32/0.72 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))), 1.32/0.72 file('/export/starexec/sandbox2/tmp/tmp.Mh0If3pBPR/E---3.1_958091.p',ax_006)). 1.32/0.72 thf(f43,plain,( 1.32/0.72 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i)) = $true)), 1.32/0.72 inference(cnf_transformation,[status(thm)],[f31])). 1.32/0.72 thf(f31,plain,( 1.32/0.72 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i)) = $true)), 1.32/0.72 inference(fool_elimination,[status(thm)],[f30])). 1.32/0.72 thf(f30,plain,( 1.32/0.72 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))), 1.32/0.72 inference(rectify,[status(thm)],[f8])). 1.32/0.72 thf(f8,axiom,( 1.32/0.72 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))), 1.32/0.72 file('/export/starexec/sandbox2/tmp/tmp.Mh0If3pBPR/E---3.1_958091.p',ax)). 1.32/0.72 thf(f194,plain,( 1.32/0.72 spl0_3 | spl0_8), 1.32/0.72 inference(avatar_split_clause,[status(thm)],[f92,f191,f79])). 1.32/0.72 thf(f92,plain,( 1.32/0.72 ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i) = $false) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true)), 1.32/0.72 inference(boolean_simplification,[status(thm)],[f88])). 1.32/0.72 thf(f88,plain,( 1.32/0.72 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true)) = $true) | ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i) = $false)), 1.32/0.72 inference(fool_paramodulation,[status(thm)],[f45])). 1.32/0.72 thf(f189,plain,( 1.32/0.72 spl0_3 | spl0_7), 1.32/0.72 inference(avatar_split_clause,[status(thm)],[f96,f186,f79])). 1.32/0.72 thf(f96,plain,( 1.32/0.72 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i) = $false) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true)), 1.32/0.72 inference(boolean_simplification,[status(thm)],[f93])). 1.32/0.72 thf(f93,plain,( 1.32/0.72 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i) = $false) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true)) = $true)), 1.32/0.72 inference(fool_paramodulation,[status(thm)],[f47])). 1.32/0.72 thf(f47,plain,( 1.32/0.72 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))) = $true)), 1.32/0.72 inference(cnf_transformation,[status(thm)],[f33])). 1.32/0.72 thf(f33,plain,( 1.32/0.72 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))) = $true)), 1.32/0.72 inference(fool_elimination,[status(thm)],[f32])). 1.32/0.72 thf(f32,plain,( 1.32/0.72 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))), 1.32/0.72 inference(rectify,[status(thm)],[f9])). 1.32/0.72 thf(f9,axiom,( 1.32/0.72 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))), 1.32/0.72 file('/export/starexec/sandbox2/tmp/tmp.Mh0If3pBPR/E---3.1_958091.p',ax_009)). 1.32/0.72 thf(f177,plain,( 1.32/0.72 ~spl0_3), 1.32/0.72 inference(avatar_contradiction_clause,[status(thm)],[f176])). 1.32/0.72 thf(f176,plain,( 1.32/0.72 $false | ~spl0_3), 1.32/0.72 inference(trivial_inequality_removal,[status(thm)],[f175])). 1.32/0.72 thf(f175,plain,( 1.32/0.72 ($false = $true) | ~spl0_3), 1.32/0.72 inference(beta_eta_normalization,[status(thm)],[f167])). 1.32/0.72 thf(f167,plain,( 1.32/0.72 ($false = ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ (sK4 @ (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) @ (sK5 @ (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))))) | ~spl0_3), 1.32/0.72 inference(primitive_instantiation,[status(thm)],[f158])). 1.32/0.72 thf(f158,plain,( 1.32/0.72 ( ! [X1 : $i > $i > $o] : (($false = (X1 @ (sK4 @ X1) @ (sK5 @ X1)))) ) | ~spl0_3), 1.32/0.72 inference(trivial_inequality_removal,[status(thm)],[f157])). 1.32/0.72 thf(f157,plain,( 1.32/0.72 ( ! [X1 : $i > $i > $o] : (($true != $true) | ($false = (X1 @ (sK4 @ X1) @ (sK5 @ X1)))) ) | ~spl0_3), 1.32/0.72 inference(forward_demodulation,[status(thm)],[f156,f81])). 1.32/0.72 thf(f81,plain,( 1.32/0.72 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true) | ~spl0_3), 1.32/0.72 inference(avatar_component_clause,[status(thm)],[f79])). 1.32/0.72 thf(f156,plain,( 1.32/0.72 ( ! [X1 : $i > $i > $o] : (($false = (X1 @ (sK4 @ X1) @ (sK5 @ X1))) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true)) )), 1.32/0.72 inference(sigma_clausification,[status(thm)],[f155])). 1.32/0.72 thf(f155,plain,( 1.32/0.72 ( ! [X1 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true) | ($false = (!! @ $i @ (X1 @ (sK4 @ X1))))) )), 1.32/0.72 inference(beta_eta_normalization,[status(thm)],[f154])). 1.32/0.72 thf(f154,plain,( 1.32/0.72 ( ! [X1 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true) | ($false = ((^[Y0 : $i]: (!! @ $i @ (X1 @ Y0))) @ (sK4 @ X1)))) )), 1.32/0.72 inference(sigma_clausification,[status(thm)],[f153])). 1.32/0.72 thf(f153,plain,( 1.32/0.72 ( ! [X1 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) != $true) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X1 @ Y0)))) = $false)) )), 1.32/0.72 inference(boolean_simplification,[status(thm)],[f152])). 1.32/0.72 thf(f152,plain,( 1.32/0.72 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((X2 @ X0 @ lAnna_THFTYPE_i) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0)))))) & (X1 @ X0 @ lBill_THFTYPE_i)) & $false)) != $true) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X1 @ Y0)))) = $false)) )), 1.32/0.72 inference(boolean_simplification,[status(thm)],[f104])). 1.32/0.72 thf(f104,plain,( 1.32/0.72 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((X2 @ X0 @ lAnna_THFTYPE_i) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0)))))) & (X1 @ X0 @ lBill_THFTYPE_i)) & (~ $true))) != $true) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X1 @ Y0)))) = $false)) )), 1.32/0.72 inference(fool_paramodulation,[status(thm)],[f48])). 1.32/0.72 thf(f48,plain,( 1.32/0.72 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((X2 @ X0 @ lAnna_THFTYPE_i) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0)))))) & (X1 @ X0 @ lBill_THFTYPE_i)) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X1 @ Y0))))))) != $true)) )), 1.32/0.72 inference(beta_eta_normalization,[status(thm)],[f42])). 1.32/0.72 thf(f42,plain,( 1.32/0.72 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((X2 @ X0 @ lAnna_THFTYPE_i) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y0 @ Y1))))))) & (X1 @ X0 @ lBill_THFTYPE_i)) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y0 @ Y1)))))))) != $true)) )), 1.32/0.72 inference(cnf_transformation,[status(thm)],[f36])). 1.32/0.72 thf(f36,plain,( 1.32/0.72 ! [X0 : $i,X1 : $i > $i > $o,X2 : $i > $i > $o] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((X2 @ X0 @ lAnna_THFTYPE_i) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y0 @ Y1))))))) & (X1 @ X0 @ lBill_THFTYPE_i)) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y0 @ Y1)))))))) != $true)), 1.32/0.72 inference(ennf_transformation,[status(thm)],[f27])). 1.32/0.72 thf(f27,plain,( 1.32/0.72 ~? [X0 : $i,X1 : $i > $i > $o,X2 : $i > $i > $o] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((X2 @ X0 @ lAnna_THFTYPE_i) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X2 @ Y0 @ Y1))))))) & (X1 @ X0 @ lBill_THFTYPE_i)) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y0 @ Y1)))))))) = $true)), 1.32/0.72 inference(fool_elimination,[status(thm)],[f26])). 1.32/0.72 thf(f26,plain,( 1.32/0.72 ~? [X0 : $i,X1 : $i > $i > $o,X2 : $i > $i > $o] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ! [X3 : $i,X4 : $i] : (X1 @ X4 @ X3)) & (X1 @ X0 @ lBill_THFTYPE_i) & (~ ! [X5 : $i,X6 : $i] : (X2 @ X6 @ X5)) & (X2 @ X0 @ lAnna_THFTYPE_i))), 1.32/0.72 inference(rectify,[status(thm)],[f11])). 1.32/0.72 thf(f11,negated_conjecture,( 1.32/0.72 ~? [X2 : $i,X1 : $i > $i > $o,X0 : $i > $i > $o] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ! [X4 : $i,X3 : $i] : (X1 @ X3 @ X4)) & (X1 @ X2 @ lBill_THFTYPE_i) & (~ ! [X4 : $i,X3 : $i] : (X0 @ X3 @ X4)) & (X0 @ X2 @ lAnna_THFTYPE_i))), 1.32/0.72 inference(negated_conjecture,[status(cth)],[f10])). 1.32/0.72 thf(f10,conjecture,( 1.32/0.72 ? [X2 : $i,X1 : $i > $i > $o,X0 : $i > $i > $o] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ! [X4 : $i,X3 : $i] : (X1 @ X3 @ X4)) & (X1 @ X2 @ lBill_THFTYPE_i) & (~ ! [X4 : $i,X3 : $i] : (X0 @ X3 @ X4)) & (X0 @ X2 @ lAnna_THFTYPE_i))), 1.32/0.72 file('/export/starexec/sandbox2/tmp/tmp.Mh0If3pBPR/E---3.1_958091.p',con)). 1.32/0.72 thf(f162,plain,( 1.32/0.72 spl0_5 | ~spl0_2), 1.32/0.72 inference(avatar_split_clause,[status(thm)],[f151,f56,f160])). 1.32/0.72 thf(f151,plain,( 1.32/0.72 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i > $i > $o,X6 : $i,X4 : $i,X5 : $i] : (($true = (X1 @ X3 @ X5)) | ($false = (X2 @ X0 @ lAnna_THFTYPE_i)) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ((X2 @ X4 @ X6) = $true) | ($false = (X1 @ X0 @ lBill_THFTYPE_i))) )), 1.32/0.72 inference(pi_clausification,[status(thm)],[f150])). 1.32/0.72 thf(f150,plain,( 1.32/0.72 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i > $i > $o,X4 : $i,X5 : $i] : (($true = (X1 @ X3 @ X5)) | ($false = (X1 @ X0 @ lBill_THFTYPE_i)) | ($false = (X2 @ X0 @ lAnna_THFTYPE_i)) | ((!! @ $i @ (X2 @ X4)) = $true) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true)) )), 1.32/0.72 inference(pi_clausification,[status(thm)],[f149])). 1.32/0.72 thf(f149,plain,( 1.32/0.72 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i > $i > $o,X4 : $i] : (((!! @ $i @ (X1 @ X3)) = $true) | ((!! @ $i @ (X2 @ X4)) = $true) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ($false = (X2 @ X0 @ lAnna_THFTYPE_i)) | ($false = (X1 @ X0 @ lBill_THFTYPE_i))) )), 1.32/0.72 inference(beta_eta_normalization,[status(thm)],[f148])). 1.32/0.72 thf(f148,plain,( 1.32/0.72 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i > $i > $o,X4 : $i] : (((!! @ $i @ (X1 @ X3)) = $true) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | (((^[Y0 : $i]: (!! @ $i @ (X2 @ Y0))) @ X4) = $true) | ($false = (X1 @ X0 @ lBill_THFTYPE_i)) | ($false = (X2 @ X0 @ lAnna_THFTYPE_i))) )), 1.32/0.72 inference(pi_clausification,[status(thm)],[f147])). 1.32/0.72 thf(f147,plain,( 1.32/0.72 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0)))) = $true) | ($false = (X2 @ X0 @ lAnna_THFTYPE_i)) | ((!! @ $i @ (X1 @ X3)) = $true) | ($false = (X1 @ X0 @ lBill_THFTYPE_i)) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true)) )), 1.32/0.72 inference(beta_eta_normalization,[status(thm)],[f146])). 1.32/0.72 thf(f146,plain,( 1.32/0.72 ( ! [X2 : $i > $i > $o,X3 : $i,X0 : $i,X1 : $i > $i > $o] : ((((^[Y0 : $i]: (!! @ $i @ (X1 @ Y0))) @ X3) = $true) | ($false = (X1 @ X0 @ lBill_THFTYPE_i)) | ($false = (X2 @ X0 @ lAnna_THFTYPE_i)) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0)))) = $true) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true)) )), 1.32/0.72 inference(pi_clausification,[status(thm)],[f145])). 1.32/0.72 thf(f145,plain,( 1.32/0.72 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X1 @ Y0)))) = $true) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0)))) = $true) | ($false = (X2 @ X0 @ lAnna_THFTYPE_i)) | ($false = (X1 @ X0 @ lBill_THFTYPE_i))) )), 1.32/0.72 inference(not_proxy_clausification,[status(thm)],[f144])). 1.32/0.72 thf(f144,plain,( 1.32/0.72 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (($false = (X1 @ X0 @ lBill_THFTYPE_i)) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0)))))) | ($false = (X2 @ X0 @ lAnna_THFTYPE_i)) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X1 @ Y0)))) = $true)) )), 1.32/0.72 inference(not_proxy_clausification,[status(thm)],[f143])). 1.32/0.72 thf(f143,plain,( 1.32/0.72 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (($false = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X1 @ Y0)))))) | ($false = (X1 @ X0 @ lBill_THFTYPE_i)) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0)))))) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ($false = (X2 @ X0 @ lAnna_THFTYPE_i))) )), 1.32/0.72 inference(binary_proxy_clausification,[status(thm)],[f142])). 1.32/0.72 thf(f142,plain,( 1.32/0.72 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ($false = (X1 @ X0 @ lBill_THFTYPE_i)) | ($false = ((X2 @ X0 @ lAnna_THFTYPE_i) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0))))))) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X1 @ Y0))))))) )), 1.32/0.72 inference(binary_proxy_clausification,[status(thm)],[f141])). 1.32/0.72 thf(f141,plain,( 1.32/0.72 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true) | ($false = (((X2 @ X0 @ lAnna_THFTYPE_i) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0)))))) & (X1 @ X0 @ lBill_THFTYPE_i))) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X1 @ Y0))))))) )), 1.32/0.72 inference(binary_proxy_clausification,[status(thm)],[f106])). 1.32/0.72 thf(f106,plain,( 1.32/0.72 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i > $i > $o] : (($false = ((((X2 @ X0 @ lAnna_THFTYPE_i) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X2 @ Y0)))))) & (X1 @ X0 @ lBill_THFTYPE_i)) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X1 @ Y0))))))) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true) != $true)) )), 1.32/0.72 inference(fool_paramodulation,[status(thm)],[f48])). 1.32/0.72 thf(f86,plain,( 1.32/0.72 spl0_3 | spl0_4), 1.32/0.72 inference(avatar_split_clause,[status(thm)],[f76,f83,f79])). 1.32/0.72 thf(f76,plain,( 1.32/0.72 ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i) = $false) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false) = $true)), 1.32/0.72 inference(boolean_simplification,[status(thm)],[f73])). 1.32/0.72 thf(f73,plain,( 1.32/0.72 ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i) = $false) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true)) = $true)), 1.32/0.72 inference(fool_paramodulation,[status(thm)],[f44])). 1.32/0.72 thf(f44,plain,( 1.32/0.72 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)), 1.32/0.72 inference(cnf_transformation,[status(thm)],[f21])). 1.32/0.72 thf(f21,plain,( 1.32/0.72 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)), 1.32/0.72 inference(fool_elimination,[status(thm)],[f20])). 1.32/0.72 thf(f20,plain,( 1.32/0.72 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))), 1.32/0.72 inference(rectify,[status(thm)],[f3])). 1.32/0.72 thf(f3,axiom,( 1.32/0.72 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))), 1.32/0.72 file('/export/starexec/sandbox2/tmp/tmp.Mh0If3pBPR/E---3.1_958091.p',ax_002)). 1.32/0.72 % SZS output end Proof for E---3.1_958091 1.32/0.72 % (958161)------------------------------ 1.32/0.72 % (958161)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.32/0.72 % (958161)Termination reason: Refutation 1.32/0.72 1.32/0.72 % (958161)Memory used [KB]: 5756 1.32/0.72 % (958161)Time elapsed: 0.053 s 1.32/0.72 % (958161)Instructions burned: 44 (million) 1.32/0.72 % (958161)------------------------------ 1.32/0.72 % (958161)------------------------------ 1.32/0.72 % (958134)Success in time 0.213 s 1.32/0.72 EOF