0.10/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.10 % Command : run_vampire %s %d THM 0.10/0.31 % Computer : n017.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 1920 0.10/0.31 % WCLimit : 240 0.10/0.31 % DateTime : Wed Jul 30 09:26:04 EDT 2025 0.10/0.31 % CPUTime : 0.15/0.32 This is a THF_ problem 0.15/0.32 Running higher-order theorem proving 0.15/0.33 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.4QMP9hqQZN/E---3.1_21113.p -m 16384 -t 240 0.15/0.35 % (21224)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_21113 for (2399ds/2Mi) 0.15/0.35 % (21221)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_21113 for (2399ds/4Mi) 0.15/0.35 % (21220)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_21113 for (2399ds/183Mi) 0.15/0.35 % (21222)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_21113 for (2399ds/27Mi) 0.15/0.35 % (21225)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_21113 for (2399ds/275Mi) 0.15/0.35 % (21226)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_21113 for (2399ds/18Mi) 0.15/0.35 % (21223)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_21113 for (2399ds/2Mi) 0.15/0.35 % (21224)Instruction limit reached! 0.15/0.35 % (21224)------------------------------ 0.15/0.35 % (21224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.35 % (21224)Termination reason: Unknown 0.15/0.35 % (21224)Termination phase: Saturation 0.15/0.35 0.15/0.35 % (21224)Memory used [KB]: 5500 0.15/0.35 % (21224)Time elapsed: 0.004 s 0.15/0.35 % (21224)Instructions burned: 3 (million) 0.15/0.35 % (21224)------------------------------ 0.15/0.35 % (21224)------------------------------ 0.15/0.35 % (21223)Instruction limit reached! 0.15/0.35 % (21223)------------------------------ 0.15/0.35 % (21223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.35 % (21223)Termination reason: Unknown 0.15/0.35 % (21223)Termination phase: Saturation 0.15/0.35 0.15/0.35 % (21223)Memory used [KB]: 5500 0.15/0.35 % (21223)Time elapsed: 0.003 s 0.15/0.35 % (21223)Instructions burned: 2 (million) 0.15/0.35 % (21223)------------------------------ 0.15/0.35 % (21223)------------------------------ 0.15/0.35 % (21225)Refutation not found, incomplete strategy 0.15/0.35 % (21225)------------------------------ 0.15/0.35 % (21225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.35 % (21225)Termination reason: Refutation not found, incomplete strategy 0.15/0.35 0.15/0.35 % (21222)Refutation not found, incomplete strategy 0.15/0.35 % (21222)------------------------------ 0.15/0.35 % (21222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.35 % (21222)Termination reason: Refutation not found, incomplete strategy 0.15/0.35 0.15/0.35 0.15/0.35 % (21222)Memory used [KB]: 5500 0.15/0.35 % (21222)Time elapsed: 0.003 s 0.15/0.35 % (21222)Instructions burned: 2 (million) 0.15/0.35 % (21222)------------------------------ 0.15/0.35 % (21222)------------------------------ 0.15/0.35 0.15/0.35 % (21225)Memory used [KB]: 5500 0.15/0.35 % (21225)Time elapsed: 0.003 s 0.15/0.35 % (21225)Instructions burned: 2 (million) 0.15/0.35 % (21225)------------------------------ 0.15/0.35 % (21225)------------------------------ 0.15/0.35 % (21221)Instruction limit reached! 0.15/0.35 % (21221)------------------------------ 0.15/0.35 % (21221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.35 % (21221)Termination reason: Unknown 0.15/0.35 % (21221)Termination phase: Saturation 0.15/0.35 0.15/0.35 % (21221)Memory used [KB]: 5500 0.15/0.35 % (21221)Time elapsed: 0.004 s 0.15/0.35 % (21221)Instructions burned: 5 (million) 0.15/0.35 % (21221)------------------------------ 0.15/0.35 % (21221)------------------------------ 0.15/0.36 % (21226)Instruction limit reached! 0.15/0.36 % (21226)------------------------------ 0.15/0.36 % (21226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.36 % (21226)Termination reason: Unknown 0.15/0.36 % (21226)Termination phase: Saturation 0.15/0.36 0.15/0.36 % (21226)Memory used [KB]: 5628 0.15/0.36 % (21226)Time elapsed: 0.012 s 0.15/0.36 % (21226)Instructions burned: 19 (million) 0.15/0.36 % (21226)------------------------------ 0.15/0.36 % (21226)------------------------------ 0.15/0.37 % (21227)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_21113 for (2399ds/3Mi) 0.15/0.37 % (21231)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_21113 for (2399ds/1041Mi) 0.15/0.37 % (21230)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_21113 for (2399ds/3Mi) 0.15/0.37 % (21228)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_21113 for (2399ds/37Mi) 0.15/0.37 % (21229)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_21113 for (2399ds/15Mi) 0.15/0.37 % (21227)Instruction limit reached! 0.15/0.37 % (21227)------------------------------ 0.15/0.37 % (21227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.37 % (21227)Termination reason: Unknown 0.15/0.37 % (21227)Termination phase: Saturation 0.15/0.37 0.15/0.37 % (21227)Memory used [KB]: 5500 0.15/0.37 % (21227)Time elapsed: 0.004 s 0.15/0.37 % (21227)Instructions burned: 3 (million) 0.15/0.37 % (21227)------------------------------ 0.15/0.37 % (21227)------------------------------ 0.15/0.37 % (21229)Refutation not found, incomplete strategy 0.15/0.37 % (21229)------------------------------ 0.15/0.37 % (21229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.37 % (21229)Termination reason: Refutation not found, incomplete strategy 0.15/0.37 0.15/0.37 0.15/0.37 % (21229)Memory used [KB]: 5500 0.15/0.37 % (21229)Time elapsed: 0.002 s 0.15/0.37 % (21229)Instructions burned: 2 (million) 0.15/0.37 % (21229)------------------------------ 0.15/0.37 % (21229)------------------------------ 0.15/0.37 % (21230)Instruction limit reached! 0.15/0.37 % (21230)------------------------------ 0.15/0.37 % (21230)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.37 % (21230)Termination reason: Unknown 0.15/0.37 % (21230)Termination phase: Saturation 0.15/0.37 0.15/0.37 % (21230)Memory used [KB]: 5500 0.15/0.37 % (21230)Time elapsed: 0.004 s 0.15/0.37 % (21230)Instructions burned: 3 (million) 0.15/0.37 % (21230)------------------------------ 0.15/0.37 % (21230)------------------------------ 0.15/0.38 % (21232)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_21113 for (2399ds/7Mi) 0.15/0.38 % (21232)Instruction limit reached! 0.15/0.38 % (21232)------------------------------ 0.15/0.38 % (21232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.38 % (21232)Termination reason: Unknown 0.15/0.38 % (21232)Termination phase: Saturation 0.15/0.38 0.15/0.38 % (21232)Memory used [KB]: 1023 0.15/0.38 % (21232)Time elapsed: 0.007 s 0.15/0.38 % (21232)Instructions burned: 8 (million) 0.15/0.38 % (21232)------------------------------ 0.15/0.38 % (21232)------------------------------ 0.15/0.38 % (21235)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_21113 for (2399ds/3Mi) 0.15/0.38 % (21233)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_21113 for (2399ds/16Mi) 0.15/0.38 % (21235)Instruction limit reached! 0.15/0.38 % (21235)------------------------------ 0.15/0.38 % (21235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.38 % (21235)Termination reason: Unknown 0.15/0.38 % (21235)Termination phase: Saturation 0.15/0.38 0.15/0.38 % (21235)Memory used [KB]: 1023 0.15/0.38 % (21235)Time elapsed: 0.003 s 0.15/0.38 % (21235)Instructions burned: 3 (million) 0.15/0.38 % (21235)------------------------------ 0.15/0.38 % (21235)------------------------------ 0.15/0.38 % (21234)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_21113 for (2399ds/3Mi) 0.15/0.39 % (21228)Instruction limit reached! 0.15/0.39 % (21228)------------------------------ 0.15/0.39 % (21228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.39 % (21228)Termination reason: Unknown 0.15/0.39 % (21228)Termination phase: Saturation 0.15/0.39 0.15/0.39 % (21228)Memory used [KB]: 5884 0.15/0.39 % (21228)Time elapsed: 0.021 s 0.15/0.39 % (21228)Instructions burned: 38 (million) 0.15/0.39 % (21228)------------------------------ 0.15/0.39 % (21228)------------------------------ 0.15/0.39 % (21234)Instruction limit reached! 0.15/0.39 % (21234)------------------------------ 0.15/0.39 % (21234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.39 % (21234)Termination reason: Unknown 0.15/0.39 % (21234)Termination phase: Saturation 0.15/0.39 0.15/0.39 % (21234)Memory used [KB]: 5500 0.15/0.39 % (21234)Time elapsed: 0.004 s 0.15/0.39 % (21234)Instructions burned: 4 (million) 0.15/0.39 % (21234)------------------------------ 0.15/0.39 % (21234)------------------------------ 0.15/0.39 % (21233)Instruction limit reached! 0.15/0.39 % (21233)------------------------------ 0.15/0.39 % (21233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.39 % (21233)Termination reason: Unknown 0.15/0.39 % (21233)Termination phase: Saturation 0.15/0.39 0.15/0.39 % (21233)Memory used [KB]: 5628 0.15/0.39 % (21233)Time elapsed: 0.011 s 0.15/0.39 % (21233)Instructions burned: 17 (million) 0.15/0.39 % (21233)------------------------------ 0.15/0.39 % (21233)------------------------------ 0.15/0.40 % (21236)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_21113 for (2399ds/7Mi) 0.15/0.40 % (21237)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_21113 for (2399ds/3Mi) 0.15/0.40 % (21237)Instruction limit reached! 0.15/0.40 % (21237)------------------------------ 0.15/0.40 % (21237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.40 % (21237)Termination reason: Unknown 0.15/0.40 % (21237)Termination phase: Saturation 0.15/0.40 0.15/0.40 % (21237)Memory used [KB]: 5500 0.15/0.40 % (21237)Time elapsed: 0.003 s 0.15/0.40 % (21237)Instructions burned: 3 (million) 0.15/0.40 % (21237)------------------------------ 0.15/0.40 % (21237)------------------------------ 0.15/0.40 % (21236)Refutation not found, incomplete strategy 0.15/0.40 % (21236)------------------------------ 0.15/0.40 % (21236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.40 % (21236)Termination reason: Refutation not found, incomplete strategy 0.15/0.40 0.15/0.40 0.15/0.40 % (21236)Memory used [KB]: 5500 0.15/0.40 % (21236)Time elapsed: 0.003 s 0.15/0.40 % (21236)Instructions burned: 3 (million) 0.15/0.40 % (21236)------------------------------ 0.15/0.40 % (21236)------------------------------ 0.15/0.40 % (21238)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_21113 for (2399ds/4Mi) 0.15/0.40 % (21239)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_21113 for (2399ds/18Mi) 0.17/0.40 % (21238)Instruction limit reached! 0.17/0.40 % (21238)------------------------------ 0.17/0.40 % (21238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.17/0.40 % (21238)Termination reason: Unknown 0.17/0.40 % (21238)Termination phase: Saturation 0.17/0.40 0.17/0.40 % (21238)Memory used [KB]: 5500 0.17/0.40 % (21238)Time elapsed: 0.004 s 0.17/0.40 % (21238)Instructions burned: 4 (million) 0.17/0.40 % (21238)------------------------------ 0.17/0.40 % (21238)------------------------------ 0.17/0.41 % (21239)Refutation not found, incomplete strategy 0.17/0.41 % (21239)------------------------------ 0.17/0.41 % (21239)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.17/0.41 % (21239)Termination reason: Refutation not found, incomplete strategy 0.17/0.41 0.17/0.41 0.17/0.41 % (21239)Memory used [KB]: 5500 0.17/0.41 % (21239)Time elapsed: 0.005 s 0.17/0.41 % (21239)Instructions burned: 6 (million) 0.17/0.41 % (21239)------------------------------ 0.17/0.41 % (21239)------------------------------ 0.17/0.41 % (21240)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_21113 for (2399ds/710Mi) 0.17/0.41 % (21241)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_21113 for (2399ds/6Mi) 0.17/0.42 % (21242)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_21113 for (2399ds/902Mi) 0.17/0.42 % (21242)Refutation not found, incomplete strategy 0.17/0.42 % (21242)------------------------------ 0.17/0.42 % (21242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.17/0.42 % (21242)Termination reason: Refutation not found, incomplete strategy 0.17/0.42 0.17/0.42 0.17/0.42 % (21242)Memory used [KB]: 5500 0.17/0.42 % (21242)Time elapsed: 0.002 s 0.17/0.42 % (21242)Instructions burned: 1 (million) 0.17/0.42 % (21242)------------------------------ 0.17/0.42 % (21242)------------------------------ 0.17/0.42 % (21241)Instruction limit reached! 0.17/0.42 % (21241)------------------------------ 0.17/0.42 % (21241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.17/0.42 % (21241)Termination reason: Unknown 0.17/0.42 % (21241)Termination phase: Saturation 0.17/0.42 0.17/0.42 % (21241)Memory used [KB]: 5500 0.17/0.42 % (21241)Time elapsed: 0.006 s 0.17/0.42 % (21241)Instructions burned: 7 (million) 0.17/0.42 % (21241)------------------------------ 0.17/0.42 % (21241)------------------------------ 0.17/0.42 % (21243)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_21113 for (2399ds/21Mi) 0.17/0.42 % (21244)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_21113 for (2399ds/5Mi) 0.17/0.43 % (21244)Instruction limit reached! 0.17/0.43 % (21244)------------------------------ 0.17/0.43 % (21244)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.17/0.43 % (21244)Termination reason: Unknown 0.17/0.43 % (21244)Termination phase: Saturation 0.17/0.43 0.17/0.43 % (21244)Memory used [KB]: 5500 0.17/0.43 % (21244)Time elapsed: 0.005 s 0.17/0.43 % (21244)Instructions burned: 6 (million) 0.17/0.43 % (21244)------------------------------ 0.17/0.43 % (21244)------------------------------ 0.17/0.43 % (21245)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_21113 for (2399ds/6Mi) 0.17/0.43 % (21243)Instruction limit reached! 0.17/0.43 % (21243)------------------------------ 0.17/0.43 % (21243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.17/0.43 % (21243)Termination reason: Unknown 0.17/0.43 % (21243)Termination phase: Saturation 0.17/0.43 0.17/0.43 % (21243)Memory used [KB]: 5628 0.17/0.43 % (21243)Time elapsed: 0.014 s 0.17/0.43 % (21243)Instructions burned: 22 (million) 0.17/0.43 % (21243)------------------------------ 0.17/0.43 % (21243)------------------------------ 0.17/0.43 % (21246)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_21113 for (2399ds/377Mi) 0.17/0.44 % (21220)Instruction limit reached! 0.17/0.44 % (21220)------------------------------ 0.17/0.44 % (21220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.17/0.44 % (21220)Termination reason: Unknown 0.17/0.44 % (21220)Termination phase: Saturation 0.17/0.44 0.17/0.44 % (21220)Memory used [KB]: 6524 0.17/0.44 % (21220)Time elapsed: 0.088 s 0.17/0.44 % (21220)Instructions burned: 184 (million) 0.17/0.44 % (21220)------------------------------ 0.17/0.44 % (21220)------------------------------ 0.17/0.44 % (21245)Instruction limit reached! 0.17/0.44 % (21245)------------------------------ 0.17/0.44 % (21245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.17/0.44 % (21245)Termination reason: Unknown 0.17/0.44 % (21245)Termination phase: Saturation 0.17/0.44 0.17/0.44 % (21245)Memory used [KB]: 5500 0.17/0.44 % (21245)Time elapsed: 0.005 s 0.17/0.44 % (21245)Instructions burned: 7 (million) 0.17/0.44 % (21245)------------------------------ 0.17/0.44 % (21245)------------------------------ 0.17/0.44 % (21247)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_21113 for (2399ds/779Mi) 0.17/0.45 % (21248)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_21113 for (2398ds/19Mi) 0.17/0.45 % (21250)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_21113 for (2398ds/17Mi) 0.17/0.45 % (21249)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_21113 for (2398ds/879Mi) 0.17/0.45 % (21248)Refutation not found, incomplete strategy 0.17/0.45 % (21248)------------------------------ 0.17/0.45 % (21248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.17/0.45 % (21248)Termination reason: Refutation not found, incomplete strategy 0.17/0.45 0.17/0.45 0.17/0.45 % (21248)Memory used [KB]: 5500 0.17/0.45 % (21248)Time elapsed: 0.004 s 0.17/0.45 % (21248)Instructions burned: 3 (million) 0.17/0.45 % (21248)------------------------------ 0.17/0.45 % (21248)------------------------------ 0.17/0.46 % (21250)Instruction limit reached! 0.17/0.46 % (21250)------------------------------ 0.17/0.46 % (21250)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.17/0.46 % (21250)Termination reason: Unknown 0.17/0.46 % (21250)Termination phase: Saturation 0.17/0.46 0.17/0.46 % (21250)Memory used [KB]: 5628 0.17/0.46 % (21250)Time elapsed: 0.010 s 0.17/0.46 % (21250)Instructions burned: 17 (million) 0.17/0.46 % (21250)------------------------------ 0.17/0.46 % (21250)------------------------------ 0.17/0.47 % (21251)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_21113 for (2398ds/3Mi) 0.17/0.47 % (21249)Refutation not found, incomplete strategy 0.17/0.47 % (21249)------------------------------ 0.17/0.47 % (21249)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.17/0.47 % (21249)Termination reason: Refutation not found, incomplete strategy 0.17/0.47 0.17/0.47 0.17/0.47 % (21249)Memory used [KB]: 5628 0.17/0.47 % (21249)Time elapsed: 0.021 s 0.17/0.47 % (21249)Instructions burned: 35 (million) 0.17/0.47 % (21249)------------------------------ 0.17/0.47 % (21249)------------------------------ 0.17/0.47 % (21251)Instruction limit reached! 0.17/0.47 % (21251)------------------------------ 0.17/0.47 % (21251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.17/0.47 % (21251)Termination reason: Unknown 0.17/0.47 % (21251)Termination phase: Saturation 0.17/0.47 0.17/0.47 % (21251)Memory used [KB]: 1023 0.17/0.47 % (21251)Time elapsed: 0.004 s 0.17/0.47 % (21251)Instructions burned: 3 (million) 0.17/0.47 % (21251)------------------------------ 0.17/0.47 % (21251)------------------------------ 0.17/0.47 % (21252)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_21113 for (2398ds/30Mi) 0.17/0.48 % (21231)First to succeed. 0.17/0.48 % (21231)Refutation found. Thanks to Tanya! 0.17/0.48 % SZS status Theorem for E---3.1_21113 0.17/0.48 % SZS output start Proof for E---3.1_21113 0.17/0.48 thf(type_def_5, type, nat: $tType). 0.17/0.48 thf(type_def_7, type, set: $tType). 0.17/0.48 thf(func_def_0, type, nat: $tType). 0.17/0.48 thf(func_def_1, type, x: nat). 0.17/0.48 thf(func_def_2, type, n_1: nat). 0.17/0.48 thf(func_def_3, type, suc: nat > nat). 0.17/0.48 thf(func_def_4, type, set: $tType). 0.17/0.48 thf(func_def_5, type, esti: nat > set > $o). 0.17/0.48 thf(func_def_6, type, setof: (nat > $o) > set). 0.17/0.48 thf(func_def_18, type, ph1: !>[X0: $tType]:(X0)). 0.17/0.48 thf(func_def_19, type, sK2: set > nat). 0.17/0.48 thf(f1630,plain,( 0.17/0.48 $false), 0.17/0.48 inference(avatar_sat_refutation,[status(thm)],[f1268,f1430,f1629])). 0.17/0.48 thf(f1629,plain,( 0.17/0.48 ~spl0_11), 0.17/0.48 inference(avatar_contradiction_clause,[status(thm)],[f1628])). 0.17/0.48 thf(f1628,plain,( 0.17/0.48 $false | ~spl0_11), 0.17/0.48 inference(equality_resolution,[status(thm)],[f1579])). 0.17/0.48 thf(f1579,plain,( 0.17/0.48 ( ! [X0 : nat] : ((x != X0)) ) | ~spl0_11), 0.17/0.48 inference(equality_proxy_clausification,[status(thm)],[f1569])). 0.17/0.48 thf(f1569,plain,( 0.17/0.48 ( ! [X0 : nat] : (((x = X0) = $false)) ) | ~spl0_11), 0.17/0.48 inference(trivial_inequality_removal,[status(thm)],[f1568])). 0.17/0.48 thf(f1568,plain,( 0.17/0.48 ( ! [X0 : nat] : (((x = X0) = $false) | ($true = $false)) ) | ~spl0_11), 0.17/0.48 inference(boolean_simplification,[status(thm)],[f1539])). 0.17/0.48 thf(f1539,plain,( 0.17/0.48 ( ! [X0 : nat] : (($true = (~ $true)) | ((x = X0) = $false)) ) | ~spl0_11), 0.17/0.48 inference(superposition,[status(thm)],[f1530,f81])). 0.17/0.48 thf(f81,plain,( 0.17/0.48 ( ! [X0 : nat,X1 : nat > $o] : (($true = (X1 @ X0)) | ((X1 @ X0) = $false)) )), 0.17/0.48 inference(boolean_simplification,[status(thm)],[f73])). 0.17/0.48 thf(f73,plain,( 0.17/0.48 ( ! [X0 : nat,X1 : nat > $o] : ((($true => (X1 @ X0)) = $true) | ((X1 @ X0) = $false)) )), 0.17/0.48 inference(superposition,[status(thm)],[f40,f53])). 0.17/0.48 thf(f53,plain,( 0.17/0.48 ( ! [X2 : nat,X1 : nat > $o] : (((esti @ X2 @ (setof @ X1)) = $true) | ((X1 @ X2) = $false)) )), 0.17/0.48 inference(binary_proxy_clausification,[status(thm)],[f52])). 0.17/0.48 thf(f52,plain,( 0.17/0.48 ( ! [X2 : nat,X1 : nat > $o] : ((((X1 @ X2) => (esti @ X2 @ (setof @ X1))) = $true)) )), 0.17/0.48 inference(beta_eta_normalization,[status(thm)],[f51])). 0.17/0.48 thf(f51,plain,( 0.17/0.48 ( ! [X2 : nat,X1 : nat > $o] : (($true = ((^[Y0 : nat]: ((X1 @ Y0) => (esti @ Y0 @ (setof @ X1)))) @ X2))) )), 0.17/0.48 inference(pi_clausification,[status(thm)],[f48])). 0.17/0.48 thf(f48,plain,( 0.17/0.48 ( ! [X1 : nat > $o] : (((!! @ nat @ (^[Y0 : nat]: ((X1 @ Y0) => (esti @ Y0 @ (setof @ X1))))) = $true)) )), 0.17/0.48 inference(beta_eta_normalization,[status(thm)],[f47])). 0.17/0.48 thf(f47,plain,( 0.17/0.48 ( ! [X1 : nat > $o] : ((((^[Y0 : nat > $o]: (!! @ nat @ (^[Y1 : nat]: ((Y0 @ Y1) => (esti @ Y1 @ (setof @ Y0)))))) @ X1) = $true)) )), 0.17/0.48 inference(pi_clausification,[status(thm)],[f24])). 0.17/0.48 thf(f24,plain,( 0.17/0.48 ((!! @ (nat > $o) @ (^[Y0 : nat > $o]: (!! @ nat @ (^[Y1 : nat]: ((Y0 @ Y1) => (esti @ Y1 @ (setof @ Y0))))))) = $true)), 0.17/0.48 inference(cnf_transformation,[status(thm)],[f10])). 0.17/0.48 thf(f10,plain,( 0.17/0.48 ((!! @ (nat > $o) @ (^[Y0 : nat > $o]: (!! @ nat @ (^[Y1 : nat]: ((Y0 @ Y1) => (esti @ Y1 @ (setof @ Y0))))))) = $true)), 0.17/0.48 inference(fool_elimination,[status(thm)],[f9])). 0.17/0.48 thf(f9,plain,( 0.17/0.48 ! [X0 : nat,X1 : nat > $o] : ((X1 @ X0) => (esti @ X0 @ (setof @ X1)))), 0.17/0.48 inference(rectify,[status(thm)],[f1])). 0.17/0.48 thf(f1,axiom,( 0.17/0.48 ! [X1 : nat,X0 : nat > $o] : ((X0 @ X1) => (esti @ X1 @ (setof @ X0)))), 0.17/0.48 file('/export/starexec/sandbox/tmp/tmp.4QMP9hqQZN/E---3.1_21113.p',estii)). 0.17/0.48 thf(f40,plain,( 0.17/0.48 ( ! [X2 : nat,X1 : nat > $o] : ((((esti @ X2 @ (setof @ X1)) => (X1 @ X2)) = $true)) )), 0.17/0.48 inference(beta_eta_normalization,[status(thm)],[f39])). 0.17/0.48 thf(f39,plain,( 0.17/0.48 ( ! [X2 : nat,X1 : nat > $o] : ((((^[Y0 : nat]: ((esti @ Y0 @ (setof @ X1)) => (X1 @ Y0))) @ X2) = $true)) )), 0.17/0.48 inference(pi_clausification,[status(thm)],[f38])). 0.17/0.48 thf(f38,plain,( 0.17/0.48 ( ! [X1 : nat > $o] : (((!! @ nat @ (^[Y0 : nat]: ((esti @ Y0 @ (setof @ X1)) => (X1 @ Y0)))) = $true)) )), 0.17/0.48 inference(beta_eta_normalization,[status(thm)],[f37])). 0.17/0.48 thf(f37,plain,( 0.17/0.48 ( ! [X1 : nat > $o] : ((((^[Y0 : nat > $o]: (!! @ nat @ (^[Y1 : nat]: ((esti @ Y1 @ (setof @ Y0)) => (Y0 @ Y1))))) @ X1) = $true)) )), 0.17/0.48 inference(pi_clausification,[status(thm)],[f22])). 0.17/0.48 thf(f22,plain,( 0.17/0.48 ($true = (!! @ (nat > $o) @ (^[Y0 : nat > $o]: (!! @ nat @ (^[Y1 : nat]: ((esti @ Y1 @ (setof @ Y0)) => (Y0 @ Y1)))))))), 0.17/0.48 inference(cnf_transformation,[status(thm)],[f15])). 0.17/0.48 thf(f15,plain,( 0.17/0.48 ($true = (!! @ (nat > $o) @ (^[Y0 : nat > $o]: (!! @ nat @ (^[Y1 : nat]: ((esti @ Y1 @ (setof @ Y0)) => (Y0 @ Y1)))))))), 0.17/0.48 inference(fool_elimination,[status(thm)],[f14])). 0.17/0.48 thf(f14,plain,( 0.17/0.48 ! [X0 : nat,X1 : nat > $o] : ((esti @ X0 @ (setof @ X1)) => (X1 @ X0))), 0.17/0.48 inference(rectify,[status(thm)],[f4])). 0.17/0.48 thf(f4,axiom,( 0.17/0.48 ! [X1 : nat,X0 : nat > $o] : ((esti @ X1 @ (setof @ X0)) => (X0 @ X1))), 0.17/0.48 file('/export/starexec/sandbox/tmp/tmp.4QMP9hqQZN/E---3.1_21113.p',estie)). 0.17/0.48 thf(f1530,plain,( 0.17/0.48 ( ! [X0 : nat] : (((~ (x = X0)) = $true)) ) | ~spl0_11), 0.17/0.48 inference(boolean_simplification,[status(thm)],[f1529])). 0.17/0.48 thf(f1529,plain,( 0.17/0.48 ( ! [X0 : nat] : (($true = ($true => (~ (x = X0))))) ) | ~spl0_11), 0.17/0.48 inference(beta_eta_normalization,[status(thm)],[f1443])). 0.17/0.48 thf(f1443,plain,( 0.17/0.48 ( ! [X0 : nat] : (($true = ($true => ((^[Y0 : nat]: (~ (x = Y0))) @ X0)))) ) | ~spl0_11), 0.17/0.48 inference(superposition,[status(thm)],[f40,f1264])). 0.17/0.48 thf(f1264,plain,( 0.17/0.48 ( ! [X0 : nat] : (((esti @ X0 @ (setof @ (^[Y0 : nat]: (~ (x = Y0))))) = $true)) ) | ~spl0_11), 0.17/0.48 inference(avatar_component_clause,[status(thm)],[f1263])). 0.17/0.48 thf(f1263,definition,( 0.17/0.48 spl0_11 <=> ! [X0 : nat] : ((esti @ X0 @ (setof @ (^[Y0 : nat]: (~ (x = Y0))))) = $true)), 0.17/0.48 introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition])). 0.17/0.48 thf(f1430,plain,( 0.17/0.48 ~spl0_12), 0.17/0.48 inference(avatar_contradiction_clause,[status(thm)],[f1429])). 0.17/0.48 thf(f1429,plain,( 0.17/0.48 $false | ~spl0_12), 0.17/0.48 inference(subsumption_resolution,[status(thm)],[f1416,f20])). 0.17/0.48 thf(f20,plain,( 0.17/0.48 (n_1 != x)), 0.17/0.48 inference(cnf_transformation,[status(thm)],[f11])). 0.17/0.48 thf(f11,plain,( 0.17/0.48 (n_1 != x)), 0.17/0.48 inference(fool_elimination,[status(thm)],[f5])). 0.17/0.48 thf(f5,axiom,( 0.17/0.48 (n_1 != x)), 0.17/0.48 file('/export/starexec/sandbox/tmp/tmp.4QMP9hqQZN/E---3.1_21113.p',n)). 0.17/0.48 thf(f1416,plain,( 0.17/0.48 (n_1 = x) | ~spl0_12), 0.17/0.48 inference(equality_proxy_clausification,[status(thm)],[f1411])). 0.17/0.48 thf(f1411,plain,( 0.17/0.48 ((x = n_1) = $true) | ~spl0_12), 0.17/0.48 inference(trivial_inequality_removal,[status(thm)],[f1406])). 0.17/0.48 thf(f1406,plain,( 0.17/0.48 ($true = $false) | ((x = n_1) = $true) | ~spl0_12), 0.17/0.48 inference(superposition,[status(thm)],[f66,f1267])). 0.17/0.48 thf(f1267,plain,( 0.17/0.48 ((~ (x = n_1)) = $false) | ~spl0_12), 0.17/0.48 inference(avatar_component_clause,[status(thm)],[f1266])). 0.17/0.48 thf(f1266,definition,( 0.17/0.48 spl0_12 <=> ((~ (x = n_1)) = $false)), 0.17/0.48 introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition])). 0.17/0.48 thf(f66,plain,( 0.17/0.48 ( ! [X0 : nat,X1 : nat > $o] : (((~ (X1 @ X0)) = $true) | ($true = (X1 @ X0))) )), 0.17/0.48 inference(boolean_simplification,[status(thm)],[f63])). 0.17/0.48 thf(f63,plain,( 0.17/0.48 ( ! [X0 : nat,X1 : nat > $o] : ((((X1 @ X0) => $false) = $true) | ($true = (X1 @ X0))) )), 0.17/0.48 inference(superposition,[status(thm)],[f52,f41])). 0.17/0.48 thf(f41,plain,( 0.17/0.48 ( ! [X2 : nat,X1 : nat > $o] : (((esti @ X2 @ (setof @ X1)) = $false) | ((X1 @ X2) = $true)) )), 0.17/0.48 inference(binary_proxy_clausification,[status(thm)],[f40])). 0.17/0.48 thf(f1268,plain,( 0.17/0.48 spl0_11 | spl0_12), 0.17/0.48 inference(avatar_split_clause,[status(thm)],[f1261,f1266,f1263])). 0.17/0.48 thf(f1261,plain,( 0.17/0.48 ( ! [X0 : nat] : (((~ (x = n_1)) = $false) | ((esti @ X0 @ (setof @ (^[Y0 : nat]: (~ (x = Y0))))) = $true)) )), 0.17/0.48 inference(trivial_inequality_removal,[status(thm)],[f1260])). 0.17/0.48 thf(f1260,plain,( 0.17/0.48 ( ! [X0 : nat] : (($true = $false) | ((esti @ X0 @ (setof @ (^[Y0 : nat]: (~ (x = Y0))))) = $true) | ((~ (x = n_1)) = $false)) )), 0.17/0.48 inference(boolean_simplification,[status(thm)],[f1250])). 0.17/0.48 thf(f1250,plain,( 0.17/0.48 ( ! [X0 : nat] : (((~ $false) = $false) | ((~ (x = n_1)) = $false) | ((esti @ X0 @ (setof @ (^[Y0 : nat]: (~ (x = Y0))))) = $true)) )), 0.17/0.48 inference(superposition,[status(thm)],[f732,f33])). 0.17/0.48 thf(f33,plain,( 0.17/0.48 ( ! [X1 : nat] : (((x = (suc @ X1)) = $false)) )), 0.17/0.48 inference(not_proxy_clausification,[status(thm)],[f32])). 0.17/0.48 thf(f32,plain,( 0.17/0.48 ( ! [X1 : nat] : (((~ (x = (suc @ X1))) = $true)) )), 0.17/0.48 inference(beta_eta_normalization,[status(thm)],[f31])). 0.17/0.48 thf(f31,plain,( 0.17/0.48 ( ! [X1 : nat] : (($true = ((^[Y0 : nat]: (~ (x = (suc @ Y0)))) @ X1))) )), 0.17/0.48 inference(pi_clausification,[status(thm)],[f26])). 0.17/0.48 thf(f26,plain,( 0.17/0.48 ((!! @ nat @ (^[Y0 : nat]: (~ (x = (suc @ Y0))))) = $true)), 0.17/0.48 inference(boolean_simplification,[status(thm)],[f21])). 0.17/0.48 thf(f21,plain,( 0.17/0.48 ((~ (~ (!! @ nat @ (^[Y0 : nat]: (~ (x = (suc @ Y0))))))) = $true)), 0.17/0.48 inference(cnf_transformation,[status(thm)],[f13])). 0.17/0.48 thf(f13,plain,( 0.17/0.48 ((~ (~ (!! @ nat @ (^[Y0 : nat]: (~ (x = (suc @ Y0))))))) = $true)), 0.17/0.48 inference(fool_elimination,[status(thm)],[f12])). 0.17/0.48 thf(f12,plain,( 0.17/0.48 ~~! [X0 : nat] : (x != (suc @ X0))), 0.17/0.48 inference(rectify,[status(thm)],[f7])). 0.17/0.48 thf(f7,negated_conjecture,( 0.17/0.48 ~~! [X4 : nat] : (x != (suc @ X4))), 0.17/0.48 inference(negated_conjecture,[status(cth)],[f6])). 0.17/0.48 thf(f6,conjecture,( 0.17/0.48 ~! [X4 : nat] : (x != (suc @ X4))), 0.17/0.48 file('/export/starexec/sandbox/tmp/tmp.4QMP9hqQZN/E---3.1_21113.p',satz3)). 0.17/0.48 thf(f732,plain,( 0.17/0.48 ( ! [X1 : nat,X4 : nat > $o] : (((~ (X4 @ (suc @ (sK2 @ (setof @ (^[Y0 : nat]: (~ (X4 @ Y0)))))))) = $false) | ((esti @ X1 @ (setof @ (^[Y0 : nat]: (~ (X4 @ Y0))))) = $true) | ((~ (X4 @ n_1)) = $false)) )), 0.17/0.48 inference(beta_eta_normalization,[status(thm)],[f707])). 0.17/0.48 thf(f707,plain,( 0.17/0.48 ( ! [X1 : nat,X4 : nat > $o] : (((esti @ X1 @ (setof @ (^[Y0 : nat]: (~ (X4 @ Y0))))) = $true) | ($false = ((^[Y0 : nat]: (~ (X4 @ Y0))) @ n_1)) | (((^[Y0 : nat]: (~ (X4 @ Y0))) @ (suc @ (sK2 @ (setof @ (^[Y0 : nat]: (~ (X4 @ Y0))))))) = $false)) )), 0.17/0.48 inference(primitive_instantiation,[status(thm)],[f694])). 0.17/0.48 thf(f694,plain,( 0.17/0.48 ( ! [X0 : nat > $o,X1 : nat] : (((X0 @ (suc @ (sK2 @ (setof @ X0)))) = $false) | ((esti @ X1 @ (setof @ X0)) = $true) | ($false = (X0 @ n_1))) )), 0.17/0.48 inference(beta_eta_normalization,[status(thm)],[f685])). 0.17/0.48 thf(f685,plain,( 0.17/0.48 ( ! [X0 : nat > $o,X1 : nat] : (($true = ((^[Y0 : nat]: (esti @ Y0 @ (setof @ X0))) @ X1)) | ((X0 @ (suc @ (sK2 @ (setof @ X0)))) = $false) | ($false = (X0 @ n_1))) )), 0.17/0.48 inference(pi_clausification,[status(thm)],[f602])). 0.17/0.48 thf(f602,plain,( 0.17/0.48 ( ! [X0 : nat > $o] : (((!! @ nat @ (^[Y0 : nat]: (esti @ Y0 @ (setof @ X0)))) = $true) | ($false = (X0 @ n_1)) | ((X0 @ (suc @ (sK2 @ (setof @ X0)))) = $false)) )), 0.17/0.48 inference(trivial_inequality_removal,[status(thm)],[f601])). 0.17/0.48 thf(f601,plain,( 0.17/0.48 ( ! [X0 : nat > $o] : (($false = (X0 @ n_1)) | ((X0 @ (suc @ (sK2 @ (setof @ X0)))) = $false) | ((!! @ nat @ (^[Y0 : nat]: (esti @ Y0 @ (setof @ X0)))) = $true) | ($true = $false)) )), 0.17/0.48 inference(boolean_simplification,[status(thm)],[f581])). 0.17/0.48 thf(f581,plain,( 0.17/0.48 ( ! [X0 : nat > $o] : (($false = (X0 @ n_1)) | ((!! @ nat @ (^[Y0 : nat]: (esti @ Y0 @ (setof @ X0)))) = $true) | ((X0 @ (suc @ (sK2 @ (setof @ X0)))) = $false) | (((esti @ (sK2 @ (setof @ X0)) @ (setof @ X0)) => $true) = $false)) )), 0.17/0.48 inference(superposition,[status(thm)],[f566,f53])). 0.17/0.48 thf(f566,plain,( 0.17/0.48 ( ! [X0 : nat > $o] : ((((esti @ (sK2 @ (setof @ X0)) @ (setof @ X0)) => (esti @ (suc @ (sK2 @ (setof @ X0))) @ (setof @ X0))) = $false) | ((!! @ nat @ (^[Y0 : nat]: (esti @ Y0 @ (setof @ X0)))) = $true) | ($false = (X0 @ n_1))) )), 0.17/0.48 inference(beta_eta_normalization,[status(thm)],[f560])). 0.17/0.48 thf(f560,plain,( 0.17/0.48 ( ! [X0 : nat > $o] : (($false = (X0 @ n_1)) | (((^[Y0 : nat]: ((esti @ Y0 @ (setof @ X0)) => (esti @ (suc @ Y0) @ (setof @ X0)))) @ (sK2 @ (setof @ X0))) = $false) | ((!! @ nat @ (^[Y0 : nat]: (esti @ Y0 @ (setof @ X0)))) = $true)) )), 0.17/0.48 inference(sigma_clausification,[status(thm)],[f525])). 0.17/0.48 thf(f525,plain,( 0.17/0.48 ( ! [X0 : nat > $o] : (((!! @ nat @ (^[Y0 : nat]: ((esti @ Y0 @ (setof @ X0)) => (esti @ (suc @ Y0) @ (setof @ X0))))) = $false) | ((!! @ nat @ (^[Y0 : nat]: (esti @ Y0 @ (setof @ X0)))) = $true) | ($false = (X0 @ n_1))) )), 0.17/0.48 inference(binary_proxy_clausification,[status(thm)],[f80])). 0.17/0.48 thf(f80,plain,( 0.17/0.48 ( ! [X0 : nat > $o] : ((((!! @ nat @ (^[Y0 : nat]: ((esti @ Y0 @ (setof @ X0)) => (esti @ (suc @ Y0) @ (setof @ X0))))) => (!! @ nat @ (^[Y0 : nat]: (esti @ Y0 @ (setof @ X0))))) = $true) | ($false = (X0 @ n_1))) )), 0.17/0.48 inference(boolean_simplification,[status(thm)],[f75])). 0.17/0.48 thf(f75,plain,( 0.17/0.48 ( ! [X0 : nat > $o] : (($false = (X0 @ n_1)) | ($true = ($true => ((!! @ nat @ (^[Y0 : nat]: ((esti @ Y0 @ (setof @ X0)) => (esti @ (suc @ Y0) @ (setof @ X0))))) => (!! @ nat @ (^[Y0 : nat]: (esti @ Y0 @ (setof @ X0)))))))) )), 0.17/0.48 inference(superposition,[status(thm)],[f61,f53])). 0.17/0.48 thf(f61,plain,( 0.17/0.48 ( ! [X1 : set] : ((((esti @ n_1 @ X1) => ((!! @ nat @ (^[Y0 : nat]: ((esti @ Y0 @ X1) => (esti @ (suc @ Y0) @ X1)))) => (!! @ nat @ (^[Y0 : nat]: (esti @ Y0 @ X1))))) = $true)) )), 0.17/0.48 inference(beta_eta_normalization,[status(thm)],[f60])). 0.17/0.48 thf(f60,plain,( 0.17/0.48 ( ! [X1 : set] : ((((^[Y0 : set]: ((esti @ n_1 @ Y0) => ((!! @ nat @ (^[Y1 : nat]: ((esti @ Y1 @ Y0) => (esti @ (suc @ Y1) @ Y0)))) => (!! @ nat @ (^[Y1 : nat]: (esti @ Y1 @ Y0)))))) @ X1) = $true)) )), 0.17/0.48 inference(pi_clausification,[status(thm)],[f23])). 0.17/0.48 thf(f23,plain,( 0.17/0.48 ((!! @ set @ (^[Y0 : set]: ((esti @ n_1 @ Y0) => ((!! @ nat @ (^[Y1 : nat]: ((esti @ Y1 @ Y0) => (esti @ (suc @ Y1) @ Y0)))) => (!! @ nat @ (^[Y1 : nat]: (esti @ Y1 @ Y0))))))) = $true)), 0.17/0.48 inference(cnf_transformation,[status(thm)],[f17])). 0.17/0.48 thf(f17,plain,( 0.17/0.48 ((!! @ set @ (^[Y0 : set]: ((esti @ n_1 @ Y0) => ((!! @ nat @ (^[Y1 : nat]: ((esti @ Y1 @ Y0) => (esti @ (suc @ Y1) @ Y0)))) => (!! @ nat @ (^[Y1 : nat]: (esti @ Y1 @ Y0))))))) = $true)), 0.17/0.48 inference(fool_elimination,[status(thm)],[f16])). 0.17/0.48 thf(f16,plain,( 0.17/0.48 ! [X0 : set] : ((esti @ n_1 @ X0) => (! [X1 : nat] : ((esti @ X1 @ X0) => (esti @ (suc @ X1) @ X0)) => ! [X2 : nat] : (esti @ X2 @ X0)))), 0.17/0.48 inference(rectify,[status(thm)],[f3])). 0.17/0.48 thf(f3,axiom,( 0.17/0.48 ! [X1 : set] : ((esti @ n_1 @ X1) => (! [X3 : nat] : ((esti @ X3 @ X1) => (esti @ (suc @ X3) @ X1)) => ! [X3 : nat] : (esti @ X3 @ X1)))), 0.17/0.48 file('/export/starexec/sandbox/tmp/tmp.4QMP9hqQZN/E---3.1_21113.p',ax5)). 0.17/0.48 % SZS output end Proof for E---3.1_21113 0.17/0.48 % (21231)------------------------------ 0.17/0.48 % (21231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.17/0.48 % (21231)Termination reason: Refutation 0.17/0.48 0.17/0.48 % (21231)Memory used [KB]: 6012 0.17/0.48 % (21231)Time elapsed: 0.116 s 0.17/0.48 % (21231)Instructions burned: 226 (million) 0.17/0.48 % (21231)------------------------------ 0.17/0.48 % (21231)------------------------------ 0.17/0.48 % (21219)Success in time 0.155 s 0.17/0.48 EOF