0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_vampire %s %d THM 0.13/0.40 % Computer : n006.cluster.edu 0.13/0.40 % Model : x86_64 x86_64 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.40 % Memory : 8046.5625MB 0.13/0.40 % OS : Linux 6.8.0-71-generic 0.13/0.40 % CPULimit : 1440 0.13/0.40 % WCLimit : 180 0.13/0.40 % DateTime : Mon Jul 27 13:06:19 UTC 2026 0.13/0.40 % CPUTime : 0.13/0.44 This is a THF_ problem 0.13/0.45 Running higher-order theorem proving 0.13/0.46 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.OkMIwOw8BO/E---3.1_2836603.p -m 16384 -t 180 0.25/0.50 % (2836650)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_2836603 for (1799ds/2Mi) 0.25/0.50 % (2836650)Instruction limit reached! 0.25/0.50 % (2836650)------------------------------ 0.25/0.50 % (2836650)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.50 % (2836650)Termination reason: Unknown 0.25/0.50 % (2836650)Termination phase: Saturation 0.25/0.50 0.25/0.50 % (2836650)Memory used [KB]: 5500 0.25/0.50 % (2836650)Time elapsed: 0.003 s 0.25/0.50 % (2836650)Instructions burned: 2 (million) 0.25/0.50 % (2836650)------------------------------ 0.25/0.50 % (2836650)------------------------------ 0.25/0.51 % (2836647)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_2836603 for (1799ds/183Mi) 0.25/0.51 % (2836649)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_2836603 for (1799ds/27Mi) 0.25/0.51 % (2836653)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_2836603 for (1799ds/18Mi) 0.25/0.51 % (2836648)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_2836603 for (1799ds/4Mi) 0.25/0.51 % (2836649)Refutation not found, incomplete strategy 0.25/0.51 % (2836649)------------------------------ 0.25/0.51 % (2836649)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.51 % (2836649)Termination reason: Refutation not found, incomplete strategy 0.25/0.51 0.25/0.51 0.25/0.51 % (2836649)Memory used [KB]: 5500 0.25/0.51 % (2836649)Time elapsed: 0.004 s 0.25/0.51 % (2836649)Instructions burned: 2 (million) 0.25/0.51 % (2836649)------------------------------ 0.25/0.51 % (2836649)------------------------------ 0.25/0.51 % (2836651)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_2836603 for (1799ds/2Mi) 0.25/0.51 % (2836654)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_2836603 for (1799ds/3Mi) 0.25/0.51 % (2836651)Instruction limit reached! 0.25/0.51 % (2836651)------------------------------ 0.25/0.51 % (2836651)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.51 % (2836651)Termination reason: Unknown 0.25/0.51 % (2836651)Termination phase: Saturation 0.25/0.51 0.25/0.51 % (2836651)Memory used [KB]: 5500 0.25/0.51 % (2836651)Time elapsed: 0.004 s 0.25/0.51 % (2836651)Instructions burned: 2 (million) 0.25/0.51 % (2836651)------------------------------ 0.25/0.51 % (2836651)------------------------------ 0.25/0.51 % (2836652)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_2836603 for (1799ds/275Mi) 0.25/0.51 % (2836648)Instruction limit reached! 0.25/0.51 % (2836648)------------------------------ 0.25/0.51 % (2836648)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.51 % (2836648)Termination reason: Unknown 0.25/0.51 % (2836648)Termination phase: Saturation 0.25/0.51 0.25/0.51 % (2836648)Memory used [KB]: 5500 0.25/0.51 % (2836648)Time elapsed: 0.006 s 0.25/0.51 % (2836648)Instructions burned: 4 (million) 0.25/0.51 % (2836648)------------------------------ 0.25/0.51 % (2836648)------------------------------ 0.25/0.51 % (2836654)Instruction limit reached! 0.25/0.51 % (2836654)------------------------------ 0.25/0.51 % (2836654)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.51 % (2836654)Termination reason: Unknown 0.25/0.51 % (2836654)Termination phase: Saturation 0.25/0.51 0.25/0.51 % (2836654)Memory used [KB]: 5500 0.25/0.51 % (2836654)Time elapsed: 0.003 s 0.25/0.51 % (2836654)Instructions burned: 3 (million) 0.25/0.51 % (2836654)------------------------------ 0.25/0.51 % (2836654)------------------------------ 0.25/0.51 % (2836652)Refutation not found, incomplete strategy 0.25/0.51 % (2836652)------------------------------ 0.25/0.51 % (2836652)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.51 % (2836652)Termination reason: Refutation not found, incomplete strategy 0.25/0.51 0.25/0.51 0.25/0.51 % (2836652)Memory used [KB]: 5373 0.25/0.51 % (2836652)Time elapsed: 0.004 s 0.25/0.51 % (2836652)Instructions burned: 1 (million) 0.25/0.51 % (2836652)------------------------------ 0.25/0.51 % (2836652)------------------------------ 0.25/0.52 % (2836653)Instruction limit reached! 0.25/0.52 % (2836653)------------------------------ 0.25/0.52 % (2836653)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.52 % (2836653)Termination reason: Unknown 0.25/0.52 % (2836653)Termination phase: Saturation 0.25/0.52 0.25/0.52 % (2836653)Memory used [KB]: 5500 0.25/0.52 % (2836653)Time elapsed: 0.019 s 0.25/0.52 % (2836653)Instructions burned: 18 (million) 0.25/0.52 % (2836653)------------------------------ 0.25/0.52 % (2836653)------------------------------ 0.25/0.53 % (2836657)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_2836603 for (1799ds/3Mi) 0.25/0.53 % (2836657)Refutation not found, incomplete strategy 0.25/0.53 % (2836657)------------------------------ 0.25/0.53 % (2836657)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.53 % (2836657)Termination reason: Refutation not found, incomplete strategy 0.25/0.53 0.25/0.53 0.25/0.53 % (2836657)Memory used [KB]: 5500 0.25/0.53 % (2836657)Time elapsed: 0.002 s 0.25/0.53 % (2836657)Instructions burned: 1 (million) 0.25/0.53 % (2836657)------------------------------ 0.25/0.53 % (2836657)------------------------------ 0.25/0.54 % (2836655)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_2836603 for (1799ds/37Mi) 0.25/0.54 % (2836656)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_2836603 for (1799ds/15Mi) 0.25/0.54 % (2836658)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_2836603 for (1799ds/1041Mi) 0.25/0.54 % (2836656)Refutation not found, incomplete strategy 0.25/0.54 % (2836656)------------------------------ 0.25/0.54 % (2836656)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.54 % (2836656)Termination reason: Refutation not found, incomplete strategy 0.25/0.54 0.25/0.54 0.25/0.54 % (2836656)Memory used [KB]: 5500 0.25/0.54 % (2836656)Time elapsed: 0.003 s 0.25/0.54 % (2836656)Instructions burned: 1 (million) 0.25/0.54 % (2836656)------------------------------ 0.25/0.54 % (2836656)------------------------------ 0.25/0.54 % (2836661)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_2836603 for (1799ds/3Mi) 0.25/0.54 % (2836661)Instruction limit reached! 0.25/0.54 % (2836661)------------------------------ 0.25/0.54 % (2836661)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.54 % (2836661)Termination reason: Unknown 0.25/0.54 % (2836661)Termination phase: Saturation 0.25/0.54 0.25/0.54 % (2836661)Memory used [KB]: 5500 0.25/0.54 % (2836661)Time elapsed: 0.003 s 0.25/0.54 % (2836661)Instructions burned: 3 (million) 0.25/0.54 % (2836661)------------------------------ 0.25/0.54 % (2836661)------------------------------ 0.25/0.55 % (2836659)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_2836603 for (1799ds/7Mi) 0.25/0.55 % (2836660)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_2836603 for (1799ds/16Mi) 0.25/0.55 % (2836659)Instruction limit reached! 0.25/0.55 % (2836659)------------------------------ 0.25/0.55 % (2836659)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.55 % (2836659)Termination reason: Unknown 0.25/0.55 % (2836659)Termination phase: Saturation 0.25/0.55 0.25/0.55 % (2836659)Memory used [KB]: 1023 0.25/0.55 % (2836659)Time elapsed: 0.010 s 0.25/0.55 % (2836659)Instructions burned: 7 (million) 0.25/0.55 % (2836659)------------------------------ 0.25/0.55 % (2836659)------------------------------ 0.25/0.56 % (2836663)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_2836603 for (1799ds/7Mi) 0.25/0.56 % (2836663)Instruction limit reached! 0.25/0.56 % (2836663)------------------------------ 0.25/0.56 % (2836663)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.56 % (2836663)Termination reason: Unknown 0.25/0.56 % (2836663)Termination phase: Saturation 0.25/0.56 0.25/0.56 % (2836663)Memory used [KB]: 5500 0.25/0.56 % (2836663)Time elapsed: 0.005 s 0.25/0.56 % (2836663)Instructions burned: 8 (million) 0.25/0.56 % (2836663)------------------------------ 0.25/0.56 % (2836663)------------------------------ 0.25/0.57 % (2836660)Instruction limit reached! 0.25/0.57 % (2836660)------------------------------ 0.25/0.57 % (2836660)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.57 % (2836660)Termination reason: Unknown 0.25/0.57 % (2836660)Termination phase: Saturation 0.25/0.57 0.25/0.57 % (2836660)Memory used [KB]: 5628 0.25/0.57 % (2836660)Time elapsed: 0.017 s 0.25/0.57 % (2836660)Instructions burned: 16 (million) 0.25/0.57 % (2836660)------------------------------ 0.25/0.57 % (2836660)------------------------------ 0.25/0.57 % (2836655)Instruction limit reached! 0.25/0.57 % (2836655)------------------------------ 0.25/0.57 % (2836655)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.57 % (2836655)Termination reason: Unknown 0.25/0.57 % (2836655)Termination phase: Saturation 0.25/0.57 0.25/0.57 % (2836655)Memory used [KB]: 5756 0.25/0.57 % (2836655)Time elapsed: 0.033 s 0.25/0.57 % (2836655)Instructions burned: 37 (million) 0.25/0.57 % (2836655)------------------------------ 0.25/0.57 % (2836655)------------------------------ 0.25/0.57 % (2836662)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_2836603 for (1799ds/3Mi) 0.25/0.57 % (2836662)Instruction limit reached! 0.25/0.57 % (2836662)------------------------------ 0.25/0.57 % (2836662)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.57 % (2836662)Termination reason: Unknown 0.25/0.57 % (2836662)Termination phase: Saturation 0.25/0.57 0.25/0.57 % (2836662)Memory used [KB]: 1023 0.25/0.57 % (2836662)Time elapsed: 0.005 s 0.25/0.57 % (2836662)Instructions burned: 3 (million) 0.25/0.57 % (2836662)------------------------------ 0.25/0.57 % (2836662)------------------------------ 0.25/0.58 % (2836665)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_2836603 for (1799ds/4Mi) 0.25/0.58 % (2836665)Instruction limit reached! 0.25/0.58 % (2836665)------------------------------ 0.25/0.58 % (2836665)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.58 % (2836665)Termination reason: Unknown 0.25/0.58 % (2836665)Termination phase: Saturation 0.25/0.58 0.25/0.58 % (2836665)Memory used [KB]: 5500 0.25/0.58 % (2836665)Time elapsed: 0.004 s 0.25/0.58 % (2836665)Instructions burned: 5 (million) 0.25/0.58 % (2836665)------------------------------ 0.25/0.58 % (2836665)------------------------------ 0.25/0.59 % (2836664)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_2836603 for (1799ds/3Mi) 0.25/0.59 % (2836664)Instruction limit reached! 0.25/0.59 % (2836664)------------------------------ 0.25/0.59 % (2836664)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.59 % (2836664)Termination reason: Unknown 0.25/0.59 % (2836664)Termination phase: Saturation 0.25/0.59 0.25/0.59 % (2836664)Memory used [KB]: 5500 0.25/0.59 % (2836664)Time elapsed: 0.006 s 0.25/0.59 % (2836664)Instructions burned: 3 (million) 0.25/0.59 % (2836664)------------------------------ 0.25/0.59 % (2836664)------------------------------ 0.25/0.59 % (2836666)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_2836603 for (1799ds/18Mi) 0.25/0.59 % (2836669)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_2836603 for (1799ds/902Mi) 0.25/0.59 % (2836669)Refutation not found, incomplete strategy 0.25/0.59 % (2836669)------------------------------ 0.25/0.59 % (2836669)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.59 % (2836669)Termination reason: Refutation not found, incomplete strategy 0.25/0.59 0.25/0.59 0.25/0.59 % (2836669)Memory used [KB]: 5500 0.25/0.59 % (2836669)Time elapsed: 0.002 s 0.25/0.59 % (2836669)Instructions burned: 1 (million) 0.25/0.59 % (2836669)------------------------------ 0.25/0.59 % (2836669)------------------------------ 0.25/0.59 % (2836667)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_2836603 for (1799ds/710Mi) 0.25/0.59 % (2836666)Refutation not found, incomplete strategy 0.25/0.59 % (2836666)------------------------------ 0.25/0.59 % (2836666)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.59 % (2836666)Termination reason: Refutation not found, incomplete strategy 0.25/0.59 0.25/0.59 0.25/0.59 % (2836666)Memory used [KB]: 5500 0.25/0.59 % (2836666)Time elapsed: 0.004 s 0.25/0.59 % (2836666)Instructions burned: 2 (million) 0.25/0.59 % (2836666)------------------------------ 0.25/0.59 % (2836666)------------------------------ 0.25/0.60 % (2836668)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_2836603 for (1799ds/6Mi) 0.25/0.61 % (2836668)Instruction limit reached! 0.25/0.61 % (2836668)------------------------------ 0.25/0.61 % (2836668)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.61 % (2836668)Termination reason: Unknown 0.25/0.61 % (2836668)Termination phase: Saturation 0.25/0.61 0.25/0.61 % (2836668)Memory used [KB]: 5500 0.25/0.61 % (2836668)Time elapsed: 0.009 s 0.25/0.61 % (2836668)Instructions burned: 6 (million) 0.25/0.61 % (2836668)------------------------------ 0.25/0.61 % (2836668)------------------------------ 1.02/0.62 % (2836670)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_2836603 for (1799ds/21Mi) 1.02/0.62 % (2836672)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_2836603 for (1799ds/6Mi) 1.02/0.63 % (2836671)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_2836603 for (1799ds/5Mi) 1.02/0.63 % (2836672)Refutation not found, incomplete strategy 1.02/0.63 % (2836672)------------------------------ 1.02/0.63 % (2836672)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.02/0.63 % (2836672)Termination reason: Refutation not found, incomplete strategy 1.02/0.63 1.02/0.63 1.02/0.63 % (2836672)Memory used [KB]: 5500 1.02/0.63 % (2836672)Time elapsed: 0.005 s 1.02/0.63 % (2836672)Instructions burned: 3 (million) 1.02/0.63 % (2836672)------------------------------ 1.02/0.63 % (2836672)------------------------------ 1.02/0.63 % (2836671)Instruction limit reached! 1.02/0.63 % (2836671)------------------------------ 1.02/0.63 % (2836671)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.02/0.63 % (2836671)Termination reason: Unknown 1.02/0.63 % (2836671)Termination phase: Saturation 1.02/0.63 1.02/0.63 % (2836671)Memory used [KB]: 5500 1.02/0.63 % (2836671)Time elapsed: 0.009 s 1.02/0.63 % (2836671)Instructions burned: 5 (million) 1.02/0.63 % (2836671)------------------------------ 1.02/0.63 % (2836671)------------------------------ 1.02/0.64 % (2836673)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_2836603 for (1798ds/377Mi) 1.02/0.64 % (2836670)Instruction limit reached! 1.02/0.64 % (2836670)------------------------------ 1.02/0.64 % (2836670)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.02/0.64 % (2836670)Termination reason: Unknown 1.02/0.64 % (2836670)Termination phase: Saturation 1.02/0.64 1.02/0.64 % (2836670)Memory used [KB]: 5628 1.02/0.64 % (2836670)Time elapsed: 0.025 s 1.02/0.64 % (2836670)Instructions burned: 21 (million) 1.02/0.64 % (2836670)------------------------------ 1.02/0.64 % (2836670)------------------------------ 1.02/0.66 % (2836674)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_2836603 for (1798ds/779Mi) 1.02/0.66 % (2836647)Instruction limit reached! 1.02/0.66 % (2836647)------------------------------ 1.02/0.66 % (2836647)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.02/0.66 % (2836647)Termination reason: Unknown 1.02/0.66 % (2836647)Termination phase: Saturation 1.02/0.66 1.02/0.66 % (2836647)Memory used [KB]: 5756 1.02/0.66 % (2836647)Time elapsed: 0.151 s 1.02/0.66 % (2836647)Instructions burned: 183 (million) 1.02/0.66 % (2836647)------------------------------ 1.02/0.66 % (2836647)------------------------------ 1.02/0.66 % (2836674)Refutation not found, incomplete strategy 1.02/0.66 % (2836674)------------------------------ 1.02/0.66 % (2836674)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.02/0.66 % (2836674)Termination reason: Refutation not found, incomplete strategy 1.02/0.66 1.02/0.66 1.02/0.66 % (2836674)Memory used [KB]: 5500 1.02/0.66 % (2836674)Time elapsed: 0.006 s 1.02/0.66 % (2836674)Instructions burned: 3 (million) 1.02/0.66 % (2836674)------------------------------ 1.02/0.66 % (2836674)------------------------------ 1.02/0.66 % (2836675)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_2836603 for (1798ds/19Mi) 1.02/0.66 % (2836675)Refutation not found, incomplete strategy 1.02/0.66 % (2836675)------------------------------ 1.02/0.66 % (2836675)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.02/0.66 % (2836675)Termination reason: Refutation not found, incomplete strategy 1.02/0.66 1.02/0.66 1.02/0.66 % (2836675)Memory used [KB]: 5500 1.02/0.66 % (2836675)Time elapsed: 0.028 s 1.02/0.66 % (2836675)Instructions burned: 2 (million) 1.02/0.66 % (2836675)------------------------------ 1.02/0.66 % (2836675)------------------------------ 1.29/0.67 % (2836676)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_2836603 for (1798ds/879Mi) 1.29/0.68 % (2836677)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_2836603 for (1798ds/17Mi) 1.29/0.69 % (2836678)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_2836603 for (1798ds/3Mi) 1.29/0.69 % (2836679)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_2836603 for (1798ds/30Mi) 1.29/0.69 % (2836678)Instruction limit reached! 1.29/0.69 % (2836678)------------------------------ 1.29/0.69 % (2836678)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.29/0.69 % (2836678)Termination reason: Unknown 1.29/0.69 % (2836678)Termination phase: Saturation 1.29/0.69 1.29/0.69 % (2836678)Memory used [KB]: 5500 1.29/0.69 % (2836678)Time elapsed: 0.005 s 1.29/0.69 % (2836678)Instructions burned: 3 (million) 1.29/0.69 % (2836678)------------------------------ 1.29/0.69 % (2836678)------------------------------ 1.29/0.69 % (2836679)Refutation not found, incomplete strategy 1.29/0.69 % (2836679)------------------------------ 1.29/0.69 % (2836679)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.29/0.69 % (2836679)Termination reason: Refutation not found, incomplete strategy 1.29/0.69 1.29/0.69 1.29/0.69 % (2836679)Memory used [KB]: 5500 1.29/0.69 % (2836679)Time elapsed: 0.006 s 1.29/0.69 % (2836679)Instructions burned: 4 (million) 1.29/0.69 % (2836679)------------------------------ 1.29/0.69 % (2836679)------------------------------ 1.29/0.70 % (2836677)First to succeed. 1.39/0.70 % (2836677)Refutation found. Thanks to Tanya! 1.39/0.70 % SZS status Theorem for E---3.1_2836603 1.39/0.70 % SZS output start Proof for E---3.1_2836603 1.39/0.70 thf(type_def_5, type, hole: $tType). 1.39/0.70 thf(type_def_6, type, pigeon: $tType). 1.39/0.70 thf(func_def_0, type, hole: $tType). 1.39/0.70 thf(func_def_1, type, pigeon: $tType). 1.39/0.70 thf(func_def_2, type, hole1: hole). 1.39/0.70 thf(func_def_3, type, hole2: hole). 1.39/0.70 thf(func_def_4, type, hole3: hole). 1.39/0.70 thf(func_def_5, type, pigeon1: pigeon). 1.39/0.70 thf(func_def_6, type, pigeon2: pigeon). 1.39/0.70 thf(func_def_7, type, pigeon3: pigeon). 1.39/0.70 thf(func_def_8, type, pigeon4: pigeon). 1.39/0.70 thf(func_def_9, type, pigeon_hole: pigeon > hole). 1.39/0.70 thf(func_def_15, type, ph1: !>[X0: $tType]:(X0)). 1.39/0.70 thf(f266,plain,( 1.39/0.70 $false), 1.39/0.70 inference(avatar_sat_refutation,[status(thm)],[f29,f34,f39,f44,f49,f59,f88,f94,f95,f106,f107,f108,f166,f179,f188,f189,f199,f211,f216,f217,f223,f228,f231,f240,f241,f242,f243,f244,f245,f246,f247,f248,f256,f264,f265])). 1.39/0.70 thf(f265,plain,( 1.39/0.70 (hole1 != (pigeon_hole @ pigeon2)) | (hole1 != (pigeon_hole @ pigeon3)) | ((pigeon_hole @ pigeon3) = (pigeon_hole @ pigeon2))), 1.39/0.70 introduced(definition,[],[theory_tautology_sat_conflict])). 1.39/0.70 thf(f264,plain,( 1.39/0.70 spl0_17 | spl0_19 | spl0_24), 1.39/0.70 inference(avatar_contradiction_clause,[status(thm)],[f263])). 1.39/0.70 thf(f263,plain,( 1.39/0.70 $false | (spl0_17 | spl0_19 | spl0_24)), 1.39/0.70 inference(subsumption_resolution,[status(thm)],[f262,f156])). 1.39/0.70 thf(f156,plain,( 1.39/0.70 (hole2 != (pigeon_hole @ pigeon3)) | spl0_17), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f155])). 1.39/0.70 thf(f155,definition,( 1.39/0.70 spl0_17 <=> (hole2 = (pigeon_hole @ pigeon3))), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_17])],[avatar_definition])). 1.39/0.70 thf(f262,plain,( 1.39/0.70 (hole2 = (pigeon_hole @ pigeon3)) | (spl0_19 | spl0_24)), 1.39/0.70 inference(subsumption_resolution,[status(thm)],[f261,f164])). 1.39/0.70 thf(f164,plain,( 1.39/0.70 (hole1 != (pigeon_hole @ pigeon3)) | spl0_19), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f163])). 1.39/0.70 thf(f163,definition,( 1.39/0.70 spl0_19 <=> (hole1 = (pigeon_hole @ pigeon3))), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_19])],[avatar_definition])). 1.39/0.70 thf(f261,plain,( 1.39/0.70 (hole1 = (pigeon_hole @ pigeon3)) | (hole2 = (pigeon_hole @ pigeon3)) | spl0_24), 1.39/0.70 inference(trivial_inequality_removal,[status(thm)],[f260])). 1.39/0.70 thf(f260,plain,( 1.39/0.70 (hole3 != hole3) | (hole1 = (pigeon_hole @ pigeon3)) | (hole2 = (pigeon_hole @ pigeon3)) | spl0_24), 1.39/0.70 inference(superposition,[status(thm)],[f187,f129])). 1.39/0.70 thf(f129,plain,( 1.39/0.70 ( ! [X0 : hole] : ((hole3 = X0) | (hole1 = X0) | (hole2 = X0)) )), 1.39/0.70 inference(equality_proxy_clausification,[status(thm)],[f128])). 1.39/0.70 thf(f128,plain,( 1.39/0.70 ( ! [X0 : hole] : ((hole1 = X0) | ((X0 = hole2) = $true) | (hole3 = X0)) )), 1.39/0.70 inference(not_proxy_clausification,[status(thm)],[f127])). 1.39/0.70 thf(f127,plain,( 1.39/0.70 ( ! [X0 : hole] : ((hole3 = X0) | ((~ (X0 = hole2)) != $true) | (hole1 = X0)) )), 1.39/0.70 inference(equality_proxy_clausification,[status(thm)],[f126])). 1.39/0.70 thf(f126,plain,( 1.39/0.70 ( ! [X0 : hole] : (((X0 = hole1) = $true) | ((~ (X0 = hole2)) != $true) | (hole3 = X0)) )), 1.39/0.70 inference(not_proxy_clausification,[status(thm)],[f125])). 1.39/0.70 thf(f125,plain,( 1.39/0.70 ( ! [X0 : hole] : (($true != (~ (X0 = hole1))) | (hole3 = X0) | ((~ (X0 = hole2)) != $true)) )), 1.39/0.70 inference(beta_eta_normalization,[status(thm)],[f110])). 1.39/0.70 thf(f110,plain,( 1.39/0.70 ( ! [X0 : hole] : (($true != ((^[Y0 : hole]: (~ (X0 = Y0))) @ hole2)) | (hole3 = X0) | ($true != ((^[Y0 : hole]: (~ (X0 = Y0))) @ hole1))) )), 1.39/0.70 inference(leibniz_equality_elimination,[status(thm)],[f20])). 1.39/0.70 thf(f20,plain,( 1.39/0.70 ( ! [X0 : hole > $o,X1 : hole] : (((X0 @ X1) = $true) | ((X0 @ hole3) != $true) | ((X0 @ hole2) != $true) | ((X0 @ hole1) != $true)) )), 1.39/0.70 inference(cnf_transformation,[status(thm)],[f16])). 1.39/0.70 thf(f16,plain,( 1.39/0.70 ! [X0 : hole > $o] : (! [X1 : hole] : ((X0 @ X1) = $true) | ((X0 @ hole1) != $true) | ((X0 @ hole3) != $true) | ((X0 @ hole2) != $true))), 1.39/0.70 inference(flattening,[status(thm)],[f15])). 1.39/0.70 thf(f15,plain,( 1.39/0.70 ! [X0 : hole > $o] : (! [X1 : hole] : ((X0 @ X1) = $true) | (((X0 @ hole3) != $true) | ((X0 @ hole1) != $true) | ((X0 @ hole2) != $true)))), 1.39/0.70 inference(ennf_transformation,[status(thm)],[f12])). 1.39/0.70 thf(f12,plain,( 1.39/0.70 ! [X0 : hole > $o] : ((((X0 @ hole3) = $true) & ((X0 @ hole1) = $true) & ((X0 @ hole2) = $true)) => ! [X1 : hole] : ((X0 @ X1) = $true))), 1.39/0.70 inference(fool_elimination,[status(thm)],[f11])). 1.39/0.70 thf(f11,plain,( 1.39/0.70 ! [X0 : hole > $o] : (((X0 @ hole1) & (X0 @ hole3) & (X0 @ hole2)) => ! [X1 : hole] : (X0 @ X1))), 1.39/0.70 inference(rectify,[status(thm)],[f5])). 1.39/0.70 thf(f5,axiom,( 1.39/0.70 ! [X2 : hole > $o] : (((X2 @ hole1) & (X2 @ hole3) & (X2 @ hole2)) => ! [X0 : hole] : (X2 @ X0))), 1.39/0.70 file('/export/starexec/sandbox/tmp/tmp.OkMIwOw8BO/E---3.1_2836603.p',holecover)). 1.39/0.70 thf(f187,plain,( 1.39/0.70 (hole3 != (pigeon_hole @ pigeon3)) | spl0_24), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f185])). 1.39/0.70 thf(f185,definition,( 1.39/0.70 spl0_24 <=> (hole3 = (pigeon_hole @ pigeon3))), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_24])],[avatar_definition])). 1.39/0.70 thf(f256,plain,( 1.39/0.70 spl0_26 | spl0_25 | spl0_18), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f255,f159,f191,f195])). 1.39/0.70 thf(f195,definition,( 1.39/0.70 spl0_26 <=> (hole2 = (pigeon_hole @ pigeon2))), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_26])],[avatar_definition])). 1.39/0.70 thf(f191,definition,( 1.39/0.70 spl0_25 <=> (hole1 = (pigeon_hole @ pigeon2))), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_25])],[avatar_definition])). 1.39/0.70 thf(f159,definition,( 1.39/0.70 spl0_18 <=> (hole3 = (pigeon_hole @ pigeon2))), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_18])],[avatar_definition])). 1.39/0.70 thf(f255,plain,( 1.39/0.70 (hole1 = (pigeon_hole @ pigeon2)) | (hole2 = (pigeon_hole @ pigeon2)) | spl0_18), 1.39/0.70 inference(trivial_inequality_removal,[status(thm)],[f254])). 1.39/0.70 thf(f254,plain,( 1.39/0.70 (hole1 = (pigeon_hole @ pigeon2)) | (hole2 = (pigeon_hole @ pigeon2)) | (hole3 != hole3) | spl0_18), 1.39/0.70 inference(superposition,[status(thm)],[f161,f129])). 1.39/0.70 thf(f161,plain,( 1.39/0.70 (hole3 != (pigeon_hole @ pigeon2)) | spl0_18), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f159])). 1.39/0.70 thf(f248,plain,( 1.39/0.70 (hole1 != (pigeon_hole @ pigeon1)) | (hole1 != (pigeon_hole @ pigeon2)) | ((pigeon_hole @ pigeon2) = (pigeon_hole @ pigeon1))), 1.39/0.70 introduced(definition,[],[theory_tautology_sat_conflict])). 1.39/0.70 thf(f247,plain,( 1.39/0.70 (hole2 != (pigeon_hole @ pigeon1)) | (hole2 != (pigeon_hole @ pigeon4)) | ((pigeon_hole @ pigeon4) = (pigeon_hole @ pigeon1))), 1.39/0.70 introduced(definition,[],[theory_tautology_sat_conflict])). 1.39/0.70 thf(f246,plain,( 1.39/0.70 (hole1 != (pigeon_hole @ pigeon1)) | (hole1 != (pigeon_hole @ pigeon3)) | ((pigeon_hole @ pigeon3) = (pigeon_hole @ pigeon1))), 1.39/0.70 introduced(definition,[],[theory_tautology_sat_conflict])). 1.39/0.70 thf(f245,plain,( 1.39/0.70 (hole2 != (pigeon_hole @ pigeon2)) | (hole2 != (pigeon_hole @ pigeon4)) | ((pigeon_hole @ pigeon4) = (pigeon_hole @ pigeon2))), 1.39/0.70 introduced(definition,[],[theory_tautology_sat_conflict])). 1.39/0.70 thf(f244,plain,( 1.39/0.70 (hole1 != (pigeon_hole @ pigeon4)) | (hole1 != (pigeon_hole @ pigeon3)) | ((pigeon_hole @ pigeon3) = (pigeon_hole @ pigeon4))), 1.39/0.70 introduced(definition,[],[theory_tautology_sat_conflict])). 1.39/0.70 thf(f243,plain,( 1.39/0.70 (hole1 != (pigeon_hole @ pigeon1)) | (hole1 != (pigeon_hole @ pigeon4)) | ((pigeon_hole @ pigeon4) = (pigeon_hole @ pigeon1))), 1.39/0.70 introduced(definition,[],[theory_tautology_sat_conflict])). 1.39/0.70 thf(f242,plain,( 1.39/0.70 (hole2 != (pigeon_hole @ pigeon1)) | (hole2 != (pigeon_hole @ pigeon2)) | ((pigeon_hole @ pigeon2) = (pigeon_hole @ pigeon1))), 1.39/0.70 introduced(definition,[],[theory_tautology_sat_conflict])). 1.39/0.70 thf(f241,plain,( 1.39/0.70 (hole1 != (pigeon_hole @ pigeon2)) | (hole1 != (pigeon_hole @ pigeon4)) | ((pigeon_hole @ pigeon4) = (pigeon_hole @ pigeon2))), 1.39/0.70 introduced(definition,[],[theory_tautology_sat_conflict])). 1.39/0.70 thf(f240,plain,( 1.39/0.70 spl0_29 | spl0_21 | spl0_27), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f235,f213,f172,f237])). 1.39/0.70 thf(f237,definition,( 1.39/0.70 spl0_29 <=> (hole1 = (pigeon_hole @ pigeon1))), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_29])],[avatar_definition])). 1.39/0.70 thf(f172,definition,( 1.39/0.70 spl0_21 <=> (hole3 = (pigeon_hole @ pigeon1))), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_21])],[avatar_definition])). 1.39/0.70 thf(f213,definition,( 1.39/0.70 spl0_27 <=> (hole2 = (pigeon_hole @ pigeon1))), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_27])],[avatar_definition])). 1.39/0.70 thf(f235,plain,( 1.39/0.70 (hole1 = (pigeon_hole @ pigeon1)) | (spl0_21 | spl0_27)), 1.39/0.70 inference(subsumption_resolution,[status(thm)],[f234,f215])). 1.39/0.70 thf(f215,plain,( 1.39/0.70 (hole2 != (pigeon_hole @ pigeon1)) | spl0_27), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f213])). 1.39/0.70 thf(f234,plain,( 1.39/0.70 (hole1 = (pigeon_hole @ pigeon1)) | (hole2 = (pigeon_hole @ pigeon1)) | spl0_21), 1.39/0.70 inference(trivial_inequality_removal,[status(thm)],[f233])). 1.39/0.70 thf(f233,plain,( 1.39/0.70 (hole1 = (pigeon_hole @ pigeon1)) | (hole2 = (pigeon_hole @ pigeon1)) | (hole3 != hole3) | spl0_21), 1.39/0.70 inference(superposition,[status(thm)],[f174,f129])). 1.39/0.70 thf(f174,plain,( 1.39/0.70 (hole3 != (pigeon_hole @ pigeon1)) | spl0_21), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f172])). 1.39/0.70 thf(f231,plain,( 1.39/0.70 spl0_22 | spl0_20 | spl0_28), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f230,f225,f168,f176])). 1.39/0.70 thf(f176,definition,( 1.39/0.70 spl0_22 <=> (hole1 = (pigeon_hole @ pigeon4))), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_22])],[avatar_definition])). 1.39/0.70 thf(f168,definition,( 1.39/0.70 spl0_20 <=> (hole2 = (pigeon_hole @ pigeon4))), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_20])],[avatar_definition])). 1.39/0.70 thf(f225,definition,( 1.39/0.70 spl0_28 <=> (hole3 = (pigeon_hole @ pigeon4))), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_28])],[avatar_definition])). 1.39/0.70 thf(f230,plain,( 1.39/0.70 (hole2 = (pigeon_hole @ pigeon4)) | (hole1 = (pigeon_hole @ pigeon4)) | spl0_28), 1.39/0.70 inference(trivial_inequality_removal,[status(thm)],[f229])). 1.39/0.70 thf(f229,plain,( 1.39/0.70 (hole1 = (pigeon_hole @ pigeon4)) | (hole2 = (pigeon_hole @ pigeon4)) | (hole3 != hole3) | spl0_28), 1.39/0.70 inference(superposition,[status(thm)],[f227,f129])). 1.39/0.70 thf(f227,plain,( 1.39/0.70 (hole3 != (pigeon_hole @ pigeon4)) | spl0_28), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f225])). 1.39/0.70 thf(f228,plain,( 1.39/0.70 ~spl0_28 | spl0_12 | ~spl0_18), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f219,f159,f97,f225])). 1.39/0.70 thf(f97,definition,( 1.39/0.70 spl0_12 <=> ((pigeon_hole @ pigeon4) = (pigeon_hole @ pigeon2))), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition])). 1.39/0.70 thf(f219,plain,( 1.39/0.70 (hole3 != (pigeon_hole @ pigeon4)) | (spl0_12 | ~spl0_18)), 1.39/0.70 inference(backward_demodulation,[status(thm)],[f99,f160])). 1.39/0.70 thf(f160,plain,( 1.39/0.70 (hole3 = (pigeon_hole @ pigeon2)) | ~spl0_18), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f159])). 1.39/0.70 thf(f99,plain,( 1.39/0.70 ((pigeon_hole @ pigeon4) != (pigeon_hole @ pigeon2)) | spl0_12), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f97])). 1.39/0.70 thf(f223,plain,( 1.39/0.70 ~spl0_21 | spl0_11 | ~spl0_18), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f220,f159,f90,f172])). 1.39/0.70 thf(f90,definition,( 1.39/0.70 spl0_11 <=> ((pigeon_hole @ pigeon2) = (pigeon_hole @ pigeon1))), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition])). 1.39/0.70 thf(f220,plain,( 1.39/0.70 (hole3 != (pigeon_hole @ pigeon1)) | (spl0_11 | ~spl0_18)), 1.39/0.70 inference(backward_demodulation,[status(thm)],[f92,f160])). 1.39/0.70 thf(f92,plain,( 1.39/0.70 ((pigeon_hole @ pigeon2) != (pigeon_hole @ pigeon1)) | spl0_11), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f90])). 1.39/0.70 thf(f217,plain,( 1.39/0.70 ~spl0_20 | spl0_10 | ~spl0_17), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f206,f155,f84,f168])). 1.39/0.70 thf(f84,definition,( 1.39/0.70 spl0_10 <=> ((pigeon_hole @ pigeon3) = (pigeon_hole @ pigeon4))), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition])). 1.39/0.70 thf(f206,plain,( 1.39/0.70 (hole2 != (pigeon_hole @ pigeon4)) | (spl0_10 | ~spl0_17)), 1.39/0.70 inference(backward_demodulation,[status(thm)],[f86,f157])). 1.39/0.70 thf(f157,plain,( 1.39/0.70 (hole2 = (pigeon_hole @ pigeon3)) | ~spl0_17), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f155])). 1.39/0.70 thf(f86,plain,( 1.39/0.70 ((pigeon_hole @ pigeon3) != (pigeon_hole @ pigeon4)) | spl0_10), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f84])). 1.39/0.70 thf(f216,plain,( 1.39/0.70 ~spl0_27 | spl0_9 | ~spl0_17), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f207,f155,f79,f213])). 1.39/0.70 thf(f79,definition,( 1.39/0.70 spl0_9 <=> ((pigeon_hole @ pigeon3) = (pigeon_hole @ pigeon1))), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])). 1.39/0.70 thf(f207,plain,( 1.39/0.70 (hole2 != (pigeon_hole @ pigeon1)) | (spl0_9 | ~spl0_17)), 1.39/0.70 inference(backward_demodulation,[status(thm)],[f81,f157])). 1.39/0.70 thf(f81,plain,( 1.39/0.70 ((pigeon_hole @ pigeon3) != (pigeon_hole @ pigeon1)) | spl0_9), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f79])). 1.39/0.70 thf(f211,plain,( 1.39/0.70 ~spl0_26 | spl0_13 | ~spl0_17), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f205,f155,f102,f195])). 1.39/0.70 thf(f102,definition,( 1.39/0.70 spl0_13 <=> ((pigeon_hole @ pigeon3) = (pigeon_hole @ pigeon2))), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition])). 1.39/0.70 thf(f205,plain,( 1.39/0.70 (hole2 != (pigeon_hole @ pigeon2)) | (spl0_13 | ~spl0_17)), 1.39/0.70 inference(backward_demodulation,[status(thm)],[f104,f157])). 1.39/0.70 thf(f104,plain,( 1.39/0.70 ((pigeon_hole @ pigeon3) != (pigeon_hole @ pigeon2)) | spl0_13), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f102])). 1.39/0.70 thf(f199,plain,( 1.39/0.70 spl0_20 | ~spl0_18 | spl0_22 | spl0_12), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f149,f97,f176,f159,f168])). 1.39/0.70 thf(f149,plain,( 1.39/0.70 (hole3 != (pigeon_hole @ pigeon2)) | (hole2 = (pigeon_hole @ pigeon4)) | (hole1 = (pigeon_hole @ pigeon4)) | spl0_12), 1.39/0.70 inference(superposition,[status(thm)],[f99,f129])). 1.39/0.70 thf(f189,plain,( 1.39/0.70 ~spl0_21 | spl0_17 | spl0_19 | spl0_9), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f148,f79,f163,f155,f172])). 1.39/0.70 thf(f148,plain,( 1.39/0.70 (hole1 = (pigeon_hole @ pigeon3)) | (hole2 = (pigeon_hole @ pigeon3)) | (hole3 != (pigeon_hole @ pigeon1)) | spl0_9), 1.39/0.70 inference(superposition,[status(thm)],[f81,f129])). 1.39/0.70 thf(f188,plain,( 1.39/0.70 spl0_22 | spl0_20 | ~spl0_24 | spl0_10), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f150,f84,f185,f168,f176])). 1.39/0.70 thf(f150,plain,( 1.39/0.70 (hole3 != (pigeon_hole @ pigeon3)) | (hole2 = (pigeon_hole @ pigeon4)) | (hole1 = (pigeon_hole @ pigeon4)) | spl0_10), 1.39/0.70 inference(superposition,[status(thm)],[f86,f129])). 1.39/0.70 thf(f179,plain,( 1.39/0.70 spl0_20 | ~spl0_21 | spl0_22 | spl0_8), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f151,f74,f176,f172,f168])). 1.39/0.70 thf(f74,definition,( 1.39/0.70 spl0_8 <=> ((pigeon_hole @ pigeon4) = (pigeon_hole @ pigeon1))), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition])). 1.39/0.70 thf(f151,plain,( 1.39/0.70 (hole3 != (pigeon_hole @ pigeon1)) | (hole1 = (pigeon_hole @ pigeon4)) | (hole2 = (pigeon_hole @ pigeon4)) | spl0_8), 1.39/0.70 inference(superposition,[status(thm)],[f76,f129])). 1.39/0.70 thf(f76,plain,( 1.39/0.70 ((pigeon_hole @ pigeon4) != (pigeon_hole @ pigeon1)) | spl0_8), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f74])). 1.39/0.70 thf(f166,plain,( 1.39/0.70 spl0_17 | ~spl0_18 | spl0_19 | spl0_13), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f147,f102,f163,f159,f155])). 1.39/0.70 thf(f147,plain,( 1.39/0.70 (hole3 != (pigeon_hole @ pigeon2)) | (hole2 = (pigeon_hole @ pigeon3)) | (hole1 = (pigeon_hole @ pigeon3)) | spl0_13), 1.39/0.70 inference(superposition,[status(thm)],[f104,f129])). 1.39/0.70 thf(f108,plain,( 1.39/0.70 ~spl0_11 | spl0_5), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f65,f46,f90])). 1.39/0.70 thf(f46,definition,( 1.39/0.70 spl0_5 <=> (pigeon1 = pigeon2)), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])). 1.39/0.70 thf(f65,plain,( 1.39/0.70 ((pigeon_hole @ pigeon2) != (pigeon_hole @ pigeon1)) | spl0_5), 1.39/0.70 inference(extensionality_resolution,[status(thm)],[f18,f48])). 1.39/0.70 thf(f48,plain,( 1.39/0.70 (pigeon1 != pigeon2) | spl0_5), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f46])). 1.39/0.70 thf(f18,plain,( 1.39/0.70 ( ! [X0 : pigeon,X1 : pigeon] : (((pigeon_hole @ X0) != (pigeon_hole @ X1)) | (X0 = X1)) )), 1.39/0.70 inference(cnf_transformation,[status(thm)],[f14])). 1.39/0.70 thf(f14,plain,( 1.39/0.70 ! [X0 : pigeon,X1 : pigeon] : ((X0 = X1) | ((pigeon_hole @ X0) != (pigeon_hole @ X1)))), 1.39/0.70 inference(ennf_transformation,[status(thm)],[f13])). 1.39/0.70 thf(f13,plain,( 1.39/0.70 ~? [X1 : pigeon,X0 : pigeon] : ((X0 != X1) & ((pigeon_hole @ X0) = (pigeon_hole @ X1)))), 1.39/0.70 inference(rectify,[status(thm)],[f3])). 1.39/0.70 thf(f3,negated_conjecture,( 1.39/0.70 ~? [X1 : pigeon,X0 : pigeon] : ((X0 != X1) & ((pigeon_hole @ X0) = (pigeon_hole @ X1)))), 1.39/0.70 inference(negated_conjecture,[status(cth)],[f2])). 1.39/0.70 thf(f2,conjecture,( 1.39/0.70 ? [X1 : pigeon,X0 : pigeon] : ((X0 != X1) & ((pigeon_hole @ X0) = (pigeon_hole @ X1)))), 1.39/0.70 file('/export/starexec/sandbox/tmp/tmp.OkMIwOw8BO/E---3.1_2836603.p',sharing_a_hole)). 1.39/0.70 thf(f107,plain,( 1.39/0.70 ~spl0_12 | spl0_2), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f70,f31,f97])). 1.39/0.70 thf(f31,definition,( 1.39/0.70 spl0_2 <=> (pigeon4 = pigeon2)), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])). 1.39/0.70 thf(f70,plain,( 1.39/0.70 ((pigeon_hole @ pigeon4) != (pigeon_hole @ pigeon2)) | spl0_2), 1.39/0.70 inference(extensionality_resolution,[status(thm)],[f18,f33])). 1.39/0.70 thf(f33,plain,( 1.39/0.70 (pigeon4 != pigeon2) | spl0_2), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f31])). 1.39/0.70 thf(f106,plain,( 1.39/0.70 ~spl0_13 | spl0_4), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f69,f41,f102])). 1.39/0.70 thf(f41,definition,( 1.39/0.70 spl0_4 <=> (pigeon3 = pigeon2)), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])). 1.39/0.70 thf(f69,plain,( 1.39/0.70 ((pigeon_hole @ pigeon3) != (pigeon_hole @ pigeon2)) | spl0_4), 1.39/0.70 inference(extensionality_resolution,[status(thm)],[f18,f43])). 1.39/0.70 thf(f43,plain,( 1.39/0.70 (pigeon3 != pigeon2) | spl0_4), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f41])). 1.39/0.70 thf(f95,plain,( 1.39/0.70 ~spl0_9 | spl0_1), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f62,f26,f79])). 1.39/0.70 thf(f26,definition,( 1.39/0.70 spl0_1 <=> (pigeon3 = pigeon1)), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])). 1.39/0.70 thf(f62,plain,( 1.39/0.70 ((pigeon_hole @ pigeon3) != (pigeon_hole @ pigeon1)) | spl0_1), 1.39/0.70 inference(extensionality_resolution,[status(thm)],[f18,f28])). 1.39/0.70 thf(f28,plain,( 1.39/0.70 (pigeon3 != pigeon1) | spl0_1), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f26])). 1.39/0.70 thf(f94,plain,( 1.39/0.70 ~spl0_8 | spl0_3), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f61,f36,f74])). 1.39/0.70 thf(f36,definition,( 1.39/0.70 spl0_3 <=> (pigeon4 = pigeon1)), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])). 1.39/0.70 thf(f61,plain,( 1.39/0.70 ((pigeon_hole @ pigeon4) != (pigeon_hole @ pigeon1)) | spl0_3), 1.39/0.70 inference(extensionality_resolution,[status(thm)],[f18,f38])). 1.39/0.70 thf(f38,plain,( 1.39/0.70 (pigeon4 != pigeon1) | spl0_3), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f36])). 1.39/0.70 thf(f88,plain,( 1.39/0.70 ~spl0_10 | spl0_7), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f66,f56,f84])). 1.39/0.70 thf(f56,definition,( 1.39/0.70 spl0_7 <=> (pigeon3 = pigeon4)), 1.39/0.70 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])). 1.39/0.70 thf(f66,plain,( 1.39/0.70 ((pigeon_hole @ pigeon3) != (pigeon_hole @ pigeon4)) | spl0_7), 1.39/0.70 inference(extensionality_resolution,[status(thm)],[f18,f58])). 1.39/0.70 thf(f58,plain,( 1.39/0.70 (pigeon3 != pigeon4) | spl0_7), 1.39/0.70 inference(avatar_component_clause,[status(thm)],[f56])). 1.39/0.70 thf(f59,plain,( 1.39/0.70 ~spl0_7), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f24,f56])). 1.39/0.70 thf(f24,plain,( 1.39/0.70 (pigeon3 != pigeon4)), 1.39/0.70 inference(cnf_transformation,[status(thm)],[f1])). 1.39/0.70 thf(f1,axiom,( 1.39/0.70 (pigeon3 != pigeon4)), 1.39/0.70 file('/export/starexec/sandbox/tmp/tmp.OkMIwOw8BO/E---3.1_2836603.p',pigeon3pigeon4)). 1.39/0.70 thf(f49,plain,( 1.39/0.70 ~spl0_5), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f19,f46])). 1.39/0.70 thf(f19,plain,( 1.39/0.70 (pigeon1 != pigeon2)), 1.39/0.70 inference(cnf_transformation,[status(thm)],[f9])). 1.39/0.70 thf(f9,axiom,( 1.39/0.70 (pigeon1 != pigeon2)), 1.39/0.70 file('/export/starexec/sandbox/tmp/tmp.OkMIwOw8BO/E---3.1_2836603.p',pigeon1pigeon2)). 1.39/0.70 thf(f44,plain,( 1.39/0.70 ~spl0_4), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f22,f41])). 1.39/0.70 thf(f22,plain,( 1.39/0.70 (pigeon3 != pigeon2)), 1.39/0.70 inference(cnf_transformation,[status(thm)],[f8])). 1.39/0.70 thf(f8,axiom,( 1.39/0.70 (pigeon3 != pigeon2)), 1.39/0.70 file('/export/starexec/sandbox/tmp/tmp.OkMIwOw8BO/E---3.1_2836603.p',pigeon2pigeon3)). 1.39/0.70 thf(f39,plain,( 1.39/0.70 ~spl0_3), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f21,f36])). 1.39/0.70 thf(f21,plain,( 1.39/0.70 (pigeon4 != pigeon1)), 1.39/0.70 inference(cnf_transformation,[status(thm)],[f4])). 1.39/0.70 thf(f4,axiom,( 1.39/0.70 (pigeon4 != pigeon1)), 1.39/0.70 file('/export/starexec/sandbox/tmp/tmp.OkMIwOw8BO/E---3.1_2836603.p',pigeon1pigeon4)). 1.39/0.70 thf(f34,plain,( 1.39/0.70 ~spl0_2), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f23,f31])). 1.39/0.70 thf(f23,plain,( 1.39/0.70 (pigeon4 != pigeon2)), 1.39/0.70 inference(cnf_transformation,[status(thm)],[f6])). 1.39/0.70 thf(f6,axiom,( 1.39/0.70 (pigeon4 != pigeon2)), 1.39/0.70 file('/export/starexec/sandbox/tmp/tmp.OkMIwOw8BO/E---3.1_2836603.p',pigeon2pigeon4)). 1.39/0.70 thf(f29,plain,( 1.39/0.70 ~spl0_1), 1.39/0.70 inference(avatar_split_clause,[status(thm)],[f17,f26])). 1.39/0.70 thf(f17,plain,( 1.39/0.70 (pigeon3 != pigeon1)), 1.39/0.70 inference(cnf_transformation,[status(thm)],[f7])). 1.39/0.70 thf(f7,axiom,( 1.39/0.70 (pigeon3 != pigeon1)), 1.39/0.70 file('/export/starexec/sandbox/tmp/tmp.OkMIwOw8BO/E---3.1_2836603.p',pigeon1pigeon3)). 1.39/0.70 % SZS output end Proof for E---3.1_2836603 1.39/0.70 % (2836677)------------------------------ 1.39/0.70 % (2836677)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.39/0.70 % (2836677)Termination reason: Refutation 1.39/0.70 1.39/0.70 % (2836677)Memory used [KB]: 5628 1.39/0.70 % (2836677)Time elapsed: 0.043 s 1.39/0.70 % (2836677)Instructions burned: 13 (million) 1.39/0.70 % (2836677)------------------------------ 1.39/0.70 % (2836677)------------------------------ 1.39/0.70 % (2836646)Success in time 0.22 s 1.39/0.70 EOF