0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : run_vampire %s %d THM 0.09/0.29 % Computer : n016.cluster.edu 0.09/0.29 % Model : x86_64 x86_64 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.29 % Memory : 8042.1875MB 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.29 % CPULimit : 1920 0.09/0.29 % WCLimit : 240 0.09/0.29 % DateTime : Wed Jul 30 05:23:04 EDT 2025 0.09/0.30 % CPUTime : 0.14/0.31 This is a THF_ problem 0.14/0.31 Running higher-order theorem proving 0.15/0.32 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.vs0VjIIzC6/E---3.1_12801.p -m 16384 -t 240 0.15/0.34 % (12909)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_12801 for (2399ds/4Mi) 0.15/0.34 % (12914)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_12801 for (2399ds/18Mi) 0.15/0.34 % (12911)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_12801 for (2399ds/2Mi) 0.15/0.34 % (12912)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_12801 for (2399ds/2Mi) 0.15/0.34 % (12908)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_12801 for (2399ds/183Mi) 0.15/0.34 % (12910)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_12801 for (2399ds/27Mi) 0.15/0.34 % (12913)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_12801 for (2399ds/275Mi) 0.15/0.34 % (12911)Instruction limit reached! 0.15/0.34 % (12911)------------------------------ 0.15/0.34 % (12911)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.34 % (12911)Termination reason: Unknown 0.15/0.34 % (12911)Termination phase: shuffling 0.15/0.34 % (12912)Instruction limit reached! 0.15/0.34 % (12912)------------------------------ 0.15/0.34 % (12912)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.34 % (12912)Termination reason: Unknown 0.15/0.34 % (12912)Termination phase: shuffling 0.15/0.34 0.15/0.34 % (12912)Memory used [KB]: 1023 0.15/0.34 % (12912)Time elapsed: 0.003 s 0.15/0.34 % (12912)Instructions burned: 2 (million) 0.15/0.34 % (12912)------------------------------ 0.15/0.34 % (12912)------------------------------ 0.15/0.34 0.15/0.34 % (12911)Memory used [KB]: 1023 0.15/0.34 % (12911)Time elapsed: 0.003 s 0.15/0.34 % (12911)Instructions burned: 3 (million) 0.15/0.34 % (12911)------------------------------ 0.15/0.34 % (12911)------------------------------ 0.15/0.35 % (12909)Instruction limit reached! 0.15/0.35 % (12909)------------------------------ 0.15/0.35 % (12909)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.35 % (12909)Termination reason: Unknown 0.15/0.35 % (12909)Termination phase: shuffling 0.15/0.35 0.15/0.35 % (12909)Memory used [KB]: 1151 0.15/0.35 % (12909)Time elapsed: 0.004 s 0.15/0.35 % (12909)Instructions burned: 5 (million) 0.15/0.35 % (12909)------------------------------ 0.15/0.35 % (12909)------------------------------ 0.15/0.35 % (12913)Refutation not found, incomplete strategy 0.15/0.35 % (12913)------------------------------ 0.15/0.35 % (12913)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.35 % (12913)Termination reason: Refutation not found, incomplete strategy 0.15/0.35 0.15/0.35 0.15/0.35 % (12913)Memory used [KB]: 5628 0.15/0.35 % (12913)Time elapsed: 0.008 s 0.15/0.35 % (12913)Instructions burned: 14 (million) 0.15/0.35 % (12913)------------------------------ 0.15/0.35 % (12913)------------------------------ 0.15/0.35 % (12914)Instruction limit reached! 0.15/0.35 % (12914)------------------------------ 0.15/0.35 % (12914)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.35 % (12914)Termination reason: Unknown 0.15/0.35 % (12914)Termination phase: Property scanning 0.15/0.35 0.15/0.35 % (12914)Memory used [KB]: 1151 0.15/0.35 % (12914)Time elapsed: 0.010 s 0.15/0.35 % (12914)Instructions burned: 19 (million) 0.15/0.35 % (12914)------------------------------ 0.15/0.35 % (12914)------------------------------ 0.15/0.36 % (12910)Instruction limit reached! 0.15/0.36 % (12910)------------------------------ 0.15/0.36 % (12910)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.36 % (12910)Termination reason: Unknown 0.15/0.36 % (12910)Termination phase: Saturation 0.15/0.36 0.15/0.36 % (12910)Memory used [KB]: 5756 0.15/0.36 % (12910)Time elapsed: 0.014 s 0.15/0.36 % (12910)Instructions burned: 28 (million) 0.15/0.36 % (12910)------------------------------ 0.15/0.36 % (12910)------------------------------ 0.15/0.36 % (12917)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_12801 for (2399ds/15Mi) 0.15/0.36 % (12915)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_12801 for (2399ds/3Mi) 0.15/0.36 % (12916)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_12801 for (2399ds/37Mi) 0.15/0.36 % (12915)Instruction limit reached! 0.15/0.36 % (12915)------------------------------ 0.15/0.36 % (12915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.36 % (12915)Termination reason: Unknown 0.15/0.36 % (12915)Termination phase: shuffling 0.15/0.36 0.15/0.36 % (12915)Memory used [KB]: 1023 0.15/0.36 % (12915)Time elapsed: 0.003 s 0.15/0.36 % (12915)Instructions burned: 3 (million) 0.15/0.36 % (12915)------------------------------ 0.15/0.36 % (12915)------------------------------ 0.15/0.37 % (12917)Instruction limit reached! 0.15/0.37 % (12917)------------------------------ 0.15/0.37 % (12917)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.37 % (12917)Termination reason: Unknown 0.15/0.37 % (12917)Termination phase: Function definition elimination 0.15/0.37 0.15/0.37 % (12917)Memory used [KB]: 1151 0.15/0.37 % (12917)Time elapsed: 0.008 s 0.15/0.37 % (12917)Instructions burned: 15 (million) 0.15/0.37 % (12917)------------------------------ 0.15/0.37 % (12917)------------------------------ 0.15/0.37 % (12919)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_12801 for (2399ds/1041Mi) 0.15/0.37 % (12918)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_12801 for (2399ds/3Mi) 0.15/0.37 % (12918)Instruction limit reached! 0.15/0.37 % (12918)------------------------------ 0.15/0.37 % (12918)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.37 % (12918)Termination reason: Unknown 0.15/0.37 % (12918)Termination phase: shuffling 0.15/0.37 0.15/0.37 % (12918)Memory used [KB]: 1023 0.15/0.37 % (12918)Time elapsed: 0.004 s 0.15/0.37 % (12918)Instructions burned: 4 (million) 0.15/0.37 % (12918)------------------------------ 0.15/0.37 % (12918)------------------------------ 0.15/0.37 % (12920)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_12801 for (2399ds/7Mi) 0.15/0.38 % (12920)Instruction limit reached! 0.15/0.38 % (12920)------------------------------ 0.15/0.38 % (12920)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.38 % (12920)Termination reason: Unknown 0.15/0.38 % (12920)Termination phase: shuffling 0.15/0.38 0.15/0.38 % (12920)Memory used [KB]: 1151 0.15/0.38 % (12920)Time elapsed: 0.005 s 0.15/0.38 % (12920)Instructions burned: 7 (million) 0.15/0.38 % (12920)------------------------------ 0.15/0.38 % (12920)------------------------------ 0.15/0.38 % (12916)Instruction limit reached! 0.15/0.38 % (12916)------------------------------ 0.15/0.38 % (12916)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.38 % (12916)Termination reason: Unknown 0.15/0.38 % (12916)Termination phase: Saturation 0.15/0.38 0.15/0.38 % (12916)Memory used [KB]: 5884 0.15/0.38 % (12916)Time elapsed: 0.018 s 0.15/0.38 % (12916)Instructions burned: 38 (million) 0.15/0.38 % (12916)------------------------------ 0.15/0.38 % (12916)------------------------------ 0.15/0.38 % (12921)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_12801 for (2399ds/16Mi) 0.15/0.38 % (12922)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_12801 for (2399ds/3Mi) 0.15/0.38 % (12922)Instruction limit reached! 0.15/0.38 % (12922)------------------------------ 0.15/0.38 % (12922)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.38 % (12922)Termination reason: Unknown 0.15/0.38 % (12922)Termination phase: shuffling 0.15/0.38 0.15/0.38 % (12922)Memory used [KB]: 1023 0.15/0.38 % (12922)Time elapsed: 0.003 s 0.15/0.38 % (12922)Instructions burned: 3 (million) 0.15/0.38 % (12922)------------------------------ 0.15/0.38 % (12922)------------------------------ 0.15/0.39 % (12921)Instruction limit reached! 0.15/0.39 % (12921)------------------------------ 0.15/0.39 % (12921)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.39 % (12921)Termination reason: Unknown 0.15/0.39 % (12921)Termination phase: Property scanning 0.15/0.39 0.15/0.39 % (12921)Memory used [KB]: 1151 0.15/0.39 % (12921)Time elapsed: 0.009 s 0.15/0.39 % (12921)Instructions burned: 17 (million) 0.15/0.39 % (12921)------------------------------ 0.15/0.39 % (12921)------------------------------ 0.15/0.39 % (12923)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_12801 for (2399ds/3Mi) 0.15/0.39 % (12923)Instruction limit reached! 0.15/0.39 % (12923)------------------------------ 0.15/0.39 % (12923)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.39 % (12923)Termination reason: Unknown 0.15/0.39 % (12923)Termination phase: shuffling 0.15/0.39 0.15/0.39 % (12923)Memory used [KB]: 1023 0.15/0.39 % (12923)Time elapsed: 0.004 s 0.15/0.39 % (12923)Instructions burned: 4 (million) 0.15/0.39 % (12923)------------------------------ 0.15/0.39 % (12923)------------------------------ 0.15/0.39 % (12924)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_12801 for (2399ds/7Mi) 0.15/0.39 % (12925)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_12801 for (2399ds/3Mi) 0.15/0.39 % (12925)Instruction limit reached! 0.15/0.39 % (12925)------------------------------ 0.15/0.39 % (12925)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.39 % (12925)Termination reason: Unknown 0.15/0.39 % (12925)Termination phase: shuffling 0.15/0.39 0.15/0.39 % (12925)Memory used [KB]: 1023 0.15/0.39 % (12925)Time elapsed: 0.003 s 0.15/0.39 % (12925)Instructions burned: 4 (million) 0.15/0.39 % (12925)------------------------------ 0.15/0.39 % (12925)------------------------------ 0.15/0.40 % (12924)Instruction limit reached! 0.15/0.40 % (12924)------------------------------ 0.15/0.40 % (12924)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.40 % (12924)Termination reason: Unknown 0.15/0.40 % (12924)Termination phase: shuffling 0.15/0.40 0.15/0.40 % (12924)Memory used [KB]: 1151 0.15/0.40 % (12924)Time elapsed: 0.005 s 0.15/0.40 % (12924)Instructions burned: 7 (million) 0.15/0.40 % (12924)------------------------------ 0.15/0.40 % (12924)------------------------------ 0.15/0.40 % (12926)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_12801 for (2399ds/4Mi) 0.15/0.40 % (12926)Instruction limit reached! 0.15/0.40 % (12926)------------------------------ 0.15/0.40 % (12926)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.40 % (12926)Termination reason: Unknown 0.15/0.40 % (12926)Termination phase: shuffling 0.15/0.40 0.15/0.40 % (12926)Memory used [KB]: 1023 0.15/0.40 % (12926)Time elapsed: 0.003 s 0.15/0.40 % (12926)Instructions burned: 4 (million) 0.15/0.40 % (12926)------------------------------ 0.15/0.40 % (12926)------------------------------ 0.15/0.40 % (12927)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_12801 for (2399ds/18Mi) 0.15/0.41 % (12928)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_12801 for (2399ds/710Mi) 0.15/0.41 % (12927)Instruction limit reached! 0.15/0.41 % (12927)------------------------------ 0.15/0.41 % (12927)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.15/0.41 % (12927)Termination reason: Unknown 0.15/0.41 % (12927)Termination phase: Saturation 0.15/0.41 0.15/0.41 % (12927)Memory used [KB]: 5628 0.15/0.41 % (12927)Time elapsed: 0.010 s 0.15/0.41 % (12927)Instructions burned: 18 (million) 0.15/0.41 % (12927)------------------------------ 0.15/0.41 % (12927)------------------------------ 0.16/0.41 % (12929)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_12801 for (2399ds/6Mi) 0.16/0.41 % (12930)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_12801 for (2399ds/902Mi) 0.16/0.41 % (12929)Instruction limit reached! 0.16/0.41 % (12929)------------------------------ 0.16/0.41 % (12929)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.16/0.41 % (12929)Termination reason: Unknown 0.16/0.41 % (12929)Termination phase: shuffling 0.16/0.41 0.16/0.41 % (12929)Memory used [KB]: 1151 0.16/0.41 % (12929)Time elapsed: 0.005 s 0.16/0.41 % (12929)Instructions burned: 7 (million) 0.16/0.41 % (12929)------------------------------ 0.16/0.41 % (12929)------------------------------ 0.16/0.42 % (12931)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_12801 for (2399ds/21Mi) 0.16/0.42 % (12930)Refutation not found, incomplete strategy 0.16/0.42 % (12930)------------------------------ 0.16/0.42 % (12930)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.16/0.42 % (12930)Termination reason: Refutation not found, incomplete strategy 0.16/0.42 0.16/0.42 0.16/0.42 % (12930)Memory used [KB]: 5628 0.16/0.42 % (12930)Time elapsed: 0.010 s 0.16/0.42 % (12930)Instructions burned: 17 (million) 0.16/0.42 % (12930)------------------------------ 0.16/0.42 % (12930)------------------------------ 0.16/0.43 % (12931)Instruction limit reached! 0.16/0.43 % (12931)------------------------------ 0.16/0.43 % (12931)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.16/0.43 % (12931)Termination reason: Unknown 0.16/0.43 % (12931)Termination phase: Property scanning 0.16/0.43 0.16/0.43 % (12931)Memory used [KB]: 1151 0.16/0.43 % (12931)Time elapsed: 0.011 s 0.16/0.43 % (12931)Instructions burned: 21 (million) 0.16/0.43 % (12931)------------------------------ 0.16/0.43 % (12931)------------------------------ 0.16/0.43 % (12932)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_12801 for (2399ds/5Mi) 0.16/0.43 % (12932)Instruction limit reached! 0.16/0.43 % (12932)------------------------------ 0.16/0.43 % (12932)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.16/0.43 % (12932)Termination reason: Unknown 0.16/0.43 % (12932)Termination phase: Property scanning 0.16/0.43 0.16/0.43 % (12932)Memory used [KB]: 1151 0.16/0.43 % (12932)Time elapsed: 0.005 s 0.16/0.43 % (12932)Instructions burned: 6 (million) 0.16/0.43 % (12932)------------------------------ 0.16/0.43 % (12932)------------------------------ 0.16/0.43 % (12933)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_12801 for (2399ds/6Mi) 0.16/0.43 % (12928)Refutation not found, incomplete strategy 0.16/0.43 % (12928)------------------------------ 0.16/0.43 % (12928)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.16/0.43 % (12928)Termination reason: Refutation not found, incomplete strategy 0.16/0.43 0.16/0.43 0.16/0.43 % (12928)Memory used [KB]: 5884 0.16/0.43 % (12928)Time elapsed: 0.028 s 0.16/0.43 % (12928)Instructions burned: 50 (million) 0.16/0.43 % (12928)------------------------------ 0.16/0.43 % (12928)------------------------------ 0.16/0.43 % (12908)Instruction limit reached! 0.16/0.43 % (12908)------------------------------ 0.16/0.43 % (12908)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.16/0.43 % (12908)Termination reason: Unknown 0.16/0.43 % (12908)Termination phase: Saturation 0.16/0.43 0.16/0.43 % (12908)Memory used [KB]: 6908 0.16/0.43 % (12908)Time elapsed: 0.091 s 0.16/0.43 % (12908)Instructions burned: 184 (million) 0.16/0.43 % (12908)------------------------------ 0.16/0.43 % (12908)------------------------------ 0.16/0.43 % (12933)Instruction limit reached! 0.16/0.43 % (12933)------------------------------ 0.16/0.43 % (12933)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.16/0.43 % (12933)Termination reason: Unknown 0.16/0.43 % (12933)Termination phase: Property scanning 0.16/0.43 0.16/0.43 % (12933)Memory used [KB]: 1151 0.16/0.43 % (12933)Time elapsed: 0.005 s 0.16/0.43 % (12933)Instructions burned: 7 (million) 0.16/0.43 % (12933)------------------------------ 0.16/0.43 % (12933)------------------------------ 0.16/0.44 % (12934)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_12801 for (2399ds/377Mi) 0.16/0.44 % (12935)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_12801 for (2399ds/779Mi) 0.16/0.45 % (12936)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_12801 for (2399ds/19Mi) 0.16/0.45 % (12937)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_12801 for (2399ds/879Mi) 0.16/0.45 % (12938)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_12801 for (2398ds/17Mi) 0.16/0.45 % (12939)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_12801 for (2398ds/3Mi) 0.16/0.45 % (12939)Instruction limit reached! 0.16/0.45 % (12939)------------------------------ 0.16/0.45 % (12939)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.16/0.45 % (12939)Termination reason: Unknown 0.16/0.45 % (12939)Termination phase: shuffling 0.16/0.45 0.16/0.45 % (12939)Memory used [KB]: 1023 0.16/0.45 % (12939)Time elapsed: 0.003 s 0.16/0.45 % (12939)Instructions burned: 3 (million) 0.16/0.45 % (12939)------------------------------ 0.16/0.45 % (12939)------------------------------ 0.16/0.45 % (12936)Refutation not found, incomplete strategy 0.16/0.45 % (12936)------------------------------ 0.16/0.45 % (12936)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.16/0.45 % (12936)Termination reason: Refutation not found, incomplete strategy 0.16/0.45 0.16/0.45 0.16/0.45 % (12936)Memory used [KB]: 5628 0.16/0.45 % (12936)Time elapsed: 0.032 s 0.16/0.45 % (12936)Instructions burned: 16 (million) 0.16/0.45 % (12936)------------------------------ 0.16/0.45 % (12936)------------------------------ 0.16/0.46 % (12938)Instruction limit reached! 0.16/0.46 % (12938)------------------------------ 0.16/0.46 % (12938)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.16/0.46 % (12938)Termination reason: Unknown 0.16/0.46 % (12938)Termination phase: Property scanning 0.16/0.46 0.16/0.46 % (12938)Memory used [KB]: 1151 0.16/0.46 % (12938)Time elapsed: 0.009 s 0.16/0.46 % (12938)Instructions burned: 17 (million) 0.16/0.46 % (12938)------------------------------ 0.16/0.46 % (12938)------------------------------ 0.16/0.47 % (12941)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_12801 for (2398ds/30Mi) 0.16/0.47 % (12935)Refutation not found, incomplete strategy 0.16/0.47 % (12935)------------------------------ 0.16/0.47 % (12935)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.16/0.47 % (12943)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on E---3.1_12801 for (2398ds/127Mi) 0.16/0.47 % (12935)Termination reason: Refutation not found, incomplete strategy 0.16/0.47 0.16/0.47 0.16/0.47 % (12935)Memory used [KB]: 5756 0.16/0.47 % (12935)Time elapsed: 0.052 s 0.16/0.47 % (12935)Instructions burned: 63 (million) 0.16/0.47 % (12935)------------------------------ 0.16/0.47 % (12935)------------------------------ 0.16/0.47 % (12944)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on E---3.1_12801 for (2398ds/100Mi) 0.16/0.48 % (12941)Instruction limit reached! 0.16/0.48 % (12941)------------------------------ 0.16/0.48 % (12941)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.16/0.48 % (12941)Termination reason: Unknown 0.16/0.48 % (12941)Termination phase: Saturation 0.16/0.48 0.16/0.48 % (12941)Memory used [KB]: 5756 0.16/0.48 % (12941)Time elapsed: 0.016 s 0.16/0.48 % (12941)Instructions burned: 31 (million) 0.16/0.48 % (12941)------------------------------ 0.16/0.48 % (12941)------------------------------ 0.16/0.49 % (12945)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on E---3.1_12801 for (2398ds/3Mi) 0.16/0.49 % (12945)Instruction limit reached! 0.16/0.49 % (12945)------------------------------ 0.16/0.49 % (12945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.16/0.49 % (12945)Termination reason: Unknown 0.16/0.49 % (12945)Termination phase: shuffling 0.16/0.49 0.16/0.49 % (12945)Memory used [KB]: 1023 0.16/0.49 % (12945)Time elapsed: 0.003 s 0.16/0.49 % (12945)Instructions burned: 4 (million) 0.16/0.49 % (12945)------------------------------ 0.16/0.49 % (12945)------------------------------ 0.16/0.50 % (12946)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on E---3.1_12801 for (2398ds/20Mi) 0.16/0.50 % (12947)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on E---3.1_12801 for (2398ds/86Mi) 0.16/0.51 % (12946)Instruction limit reached! 0.16/0.51 % (12946)------------------------------ 0.16/0.51 % (12946)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.16/0.51 % (12946)Termination reason: Unknown 0.16/0.51 % (12946)Termination phase: Saturation 0.16/0.51 0.16/0.51 % (12946)Memory used [KB]: 5628 0.16/0.51 % (12946)Time elapsed: 0.012 s 0.16/0.51 % (12946)Instructions burned: 20 (million) 0.16/0.51 % (12946)------------------------------ 0.16/0.51 % (12946)------------------------------ 0.16/0.52 % (12943)First to succeed. 0.16/0.52 % (12943)Refutation found. Thanks to Tanya! 0.16/0.52 % SZS status Theorem for E---3.1_12801 0.16/0.52 % SZS output start Proof for E---3.1_12801 0.16/0.52 thf(type_def_5, type, mworld: $tType). 0.16/0.52 thf(func_def_0, type, mworld: $tType). 0.16/0.52 thf(func_def_1, type, mrel: mworld > mworld > $o). 0.16/0.52 thf(func_def_2, type, mactual: mworld). 0.16/0.52 thf(func_def_3, type, mlocal: (mworld > $o) > $o). 0.16/0.52 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o). 0.16/0.52 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o). 0.16/0.52 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o). 0.16/0.52 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o). 0.16/0.52 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o). 0.16/0.52 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o). 0.16/0.52 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o). 0.16/0.52 thf(func_def_12, type, mforall_di: ($i > mworld > $o) > mworld > $o). 0.16/0.52 thf(func_def_13, type, mexists_di: ($i > mworld > $o) > mworld > $o). 0.16/0.52 thf(func_def_15, type, qmltpeq: $i > $i > mworld > $o). 0.16/0.52 thf(func_def_16, type, equal_set: $i > $i > mworld > $o). 0.16/0.52 thf(func_def_17, type, member: $i > $i > mworld > $o). 0.16/0.52 thf(func_def_18, type, subset: $i > $i > mworld > $o). 0.16/0.52 thf(func_def_19, type, singleton: $i > $i). 0.16/0.52 thf(func_def_20, type, product: $i > $i). 0.16/0.52 thf(func_def_21, type, unordered_pair: $i > $i > $i). 0.16/0.52 thf(func_def_22, type, intersection: $i > $i > $i). 0.16/0.52 thf(func_def_23, type, difference: $i > $i > $i). 0.16/0.52 thf(func_def_24, type, sum: $i > $i). 0.16/0.52 thf(func_def_25, type, union: $i > $i > $i). 0.16/0.52 thf(func_def_26, type, power_set: $i > $i). 0.16/0.52 thf(func_def_40, type, sK0: mworld > mworld). 0.16/0.52 thf(func_def_45, type, ph3: !>[X0: $tType]:(X0)). 0.16/0.52 thf(f652,plain,( 0.16/0.52 $false), 0.16/0.52 inference(avatar_sat_refutation,[status(thm)],[f457,f572,f651])). 0.16/0.52 thf(f651,plain,( 0.16/0.52 ~spl1_1), 0.16/0.52 inference(avatar_contradiction_clause,[status(thm)],[f650])). 0.16/0.52 thf(f650,plain,( 0.16/0.52 $false | ~spl1_1), 0.16/0.52 inference(trivial_inequality_removal,[status(thm)],[f637])). 0.16/0.52 thf(f637,plain,( 0.16/0.52 ($true = $false) | ~spl1_1), 0.16/0.52 inference(backward_demodulation,[status(thm)],[f582,f616])). 0.16/0.52 thf(f616,plain,( 0.16/0.52 ((member @ sK5 @ sK2 @ mactual) = $false) | ~spl1_1), 0.16/0.52 inference(not_proxy_clausification,[status(thm)],[f615])). 0.16/0.52 thf(f615,plain,( 0.16/0.52 ($true = (~ (member @ sK5 @ sK2 @ mactual))) | ~spl1_1), 0.16/0.52 inference(boolean_simplification,[status(thm)],[f614])). 0.16/0.52 thf(f614,plain,( 0.16/0.52 ((~ ((member @ sK5 @ sK2 @ mactual) | (member @ sK5 @ sK2 @ mactual))) = $true) | ~spl1_1), 0.16/0.52 inference(boolean_simplification,[status(thm)],[f605])). 0.16/0.52 thf(f605,plain,( 0.16/0.52 (($false = ((member @ sK5 @ sK2 @ mactual) | (member @ sK5 @ sK2 @ mactual))) = $true) | ~spl1_1), 0.16/0.52 inference(superposition,[status(thm)],[f373,f581])). 0.16/0.52 thf(f581,plain,( 0.16/0.52 ((member @ sK5 @ (union @ sK2 @ sK2) @ mactual) = $false) | ~spl1_1), 0.16/0.52 inference(binary_proxy_clausification,[status(thm)],[f580])). 0.16/0.52 thf(f580,plain,( 0.16/0.52 (((member @ sK5 @ sK2 @ mactual) => (member @ sK5 @ (union @ sK2 @ sK2) @ mactual)) = $false) | ~spl1_1), 0.16/0.52 inference(beta_eta_normalization,[status(thm)],[f579])). 0.16/0.52 thf(f579,plain,( 0.16/0.52 (((^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) => (member @ Y0 @ (union @ sK2 @ sK2) @ mactual))) @ sK5) = $false) | ~spl1_1), 0.16/0.52 inference(sigma_clausification,[status(thm)],[f578])). 0.16/0.52 thf(f578,plain,( 0.16/0.52 ($false = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) => (member @ Y0 @ (union @ sK2 @ sK2) @ mactual))))) | ~spl1_1), 0.16/0.52 inference(not_proxy_clausification,[status(thm)],[f577])). 0.16/0.52 thf(f577,plain,( 0.16/0.52 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) => (member @ Y0 @ (union @ sK2 @ sK2) @ mactual)))))) | ~spl1_1), 0.16/0.52 inference(boolean_simplification,[status(thm)],[f574])). 0.16/0.52 thf(f574,plain,( 0.16/0.52 ($true = ($false = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) => (member @ Y0 @ (union @ sK2 @ sK2) @ mactual)))))) | ~spl1_1), 0.16/0.52 inference(superposition,[status(thm)],[f423,f452])). 0.16/0.52 thf(f452,plain,( 0.16/0.52 ((subset @ sK2 @ (union @ sK2 @ sK2) @ mactual) = $false) | ~spl1_1), 0.16/0.52 inference(avatar_component_clause,[status(thm)],[f450])). 0.16/0.52 thf(f450,definition,( 0.16/0.52 spl1_1 <=> ((subset @ sK2 @ (union @ sK2 @ sK2) @ mactual) = $false)), 0.16/0.52 introduced(definition,[new_symbols(naming,[spl1_1])],[avatar_definition])). 0.16/0.52 thf(f423,plain,( 0.16/0.52 ( ! [X2 : $i,X1 : $i] : (($true = ((subset @ X1 @ X2 @ mactual) = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ X1 @ mactual) => (member @ Y0 @ X2 @ mactual))))))) )), 0.16/0.52 inference(beta_eta_normalization,[status(thm)],[f422])). 0.16/0.52 thf(f422,plain,( 0.16/0.52 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((subset @ X1 @ Y0 @ mactual) = (!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ X1 @ mactual) => (member @ Y1 @ Y0 @ mactual)))))) @ X2))) )), 0.16/0.52 inference(pi_clausification,[status(thm)],[f421])). 0.16/0.52 thf(f421,plain,( 0.16/0.52 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((subset @ X1 @ Y0 @ mactual) = (!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ X1 @ mactual) => (member @ Y1 @ Y0 @ mactual))))))) = $true)) )), 0.16/0.52 inference(beta_eta_normalization,[status(thm)],[f420])). 0.16/0.52 thf(f420,plain,( 0.16/0.52 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1 @ mactual) = (!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ Y0 @ mactual) => (member @ Y2 @ Y1 @ mactual)))))))) @ X1) = $true)) )), 0.16/0.52 inference(pi_clausification,[status(thm)],[f419])). 0.16/0.52 thf(f419,plain,( 0.16/0.52 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1 @ mactual) = (!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ Y0 @ mactual) => (member @ Y2 @ Y1 @ mactual))))))))) = $true)), 0.16/0.52 inference(beta_eta_normalization,[status(thm)],[f187])). 0.16/0.52 thf(f187,plain,( 0.16/0.52 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) = (Y3 @ Y4))))))) @ (subset @ Y0 @ Y1) @ ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1)))))))))) = $true)), 0.16/0.52 inference(definition_unfolding,[status(thm)],[f145,f152,f161,f161,f141,f161,f177])). 0.16/0.52 thf(f177,plain,( 0.16/0.52 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))), 0.16/0.52 inference(cnf_transformation,[status(thm)],[f65])). 0.16/0.52 thf(f65,plain,( 0.16/0.52 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))), 0.16/0.52 inference(fool_elimination,[status(thm)],[f64])). 0.16/0.52 thf(f64,plain,( 0.16/0.52 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))) = mimplies)), 0.16/0.52 inference(rectify,[status(thm)],[f5])). 0.16/0.52 thf(f5,axiom,( 0.16/0.52 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))) = mimplies)), 0.16/0.52 file('/export/starexec/sandbox/tmp/tmp.vs0VjIIzC6/E---3.1_12801.p',mimplies_def)). 0.16/0.52 thf(f141,plain,( 0.16/0.52 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) = (Y1 @ Y2))))))))), 0.16/0.52 inference(cnf_transformation,[status(thm)],[f95])). 0.16/0.52 thf(f95,plain,( 0.16/0.52 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) = (Y1 @ Y2))))))))), 0.16/0.52 inference(fool_elimination,[status(thm)],[f94])). 0.16/0.52 thf(f94,plain,( 0.16/0.52 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) <=> (X1 @ X2))) = mequiv)), 0.16/0.52 inference(rectify,[status(thm)],[f6])). 0.16/0.52 thf(f6,axiom,( 0.16/0.52 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) <=> (X3 @ X2))) = mequiv)), 0.16/0.52 file('/export/starexec/sandbox/tmp/tmp.vs0VjIIzC6/E---3.1_12801.p',mequiv_def)). 0.16/0.52 thf(f161,plain,( 0.16/0.52 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))), 0.16/0.52 inference(cnf_transformation,[status(thm)],[f59])). 0.16/0.52 thf(f59,plain,( 0.16/0.52 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))), 0.16/0.52 inference(fool_elimination,[status(thm)],[f58])). 0.16/0.52 thf(f58,plain,( 0.16/0.52 ((^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2 : $i] : (X0 @ X2 @ X1))) = mforall_di)), 0.16/0.52 inference(rectify,[status(thm)],[f9])). 0.16/0.52 thf(f9,axiom,( 0.16/0.52 ((^[X1 : $i > mworld > $o, X2 : mworld] : (! [X5 : $i] : (X1 @ X5 @ X2))) = mforall_di)), 0.16/0.52 file('/export/starexec/sandbox/tmp/tmp.vs0VjIIzC6/E---3.1_12801.p',mforall_di_def)). 0.16/0.52 thf(f152,plain,( 0.16/0.52 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))), 0.16/0.52 inference(cnf_transformation,[status(thm)],[f55])). 0.16/0.52 thf(f55,plain,( 0.16/0.52 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))), 0.16/0.52 inference(fool_elimination,[status(thm)],[f1])). 0.16/0.52 thf(f1,axiom,( 0.16/0.52 (mlocal = (^[X0 : mworld > $o] : (X0 @ mactual)))), 0.16/0.52 file('/export/starexec/sandbox/tmp/tmp.vs0VjIIzC6/E---3.1_12801.p',mlocal_def)). 0.16/0.52 thf(f145,plain,( 0.16/0.52 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (subset @ Y0 @ Y1) @ (mforall_di @ (^[Y2 : $i]: (mimplies @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1)))))))))))), 0.16/0.52 inference(cnf_transformation,[status(thm)],[f109])). 0.16/0.52 thf(f109,plain,( 0.16/0.52 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (subset @ Y0 @ Y1) @ (mforall_di @ (^[Y2 : $i]: (mimplies @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1)))))))))))), 0.16/0.52 inference(fool_elimination,[status(thm)],[f108])). 0.16/0.52 thf(f108,plain,( 0.16/0.52 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (subset @ X0 @ X1) @ (mforall_di @ (^[X2 : $i] : (mimplies @ (member @ X2 @ X0) @ (member @ X2 @ X1))))))))))), 0.16/0.52 inference(rectify,[status(thm)],[f27])). 0.16/0.52 thf(f27,axiom,( 0.16/0.52 (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (subset @ X1 @ X3) @ (mforall_di @ (^[X5 : $i] : (mimplies @ (member @ X5 @ X1) @ (member @ X5 @ X3))))))))))), 0.16/0.52 file('/export/starexec/sandbox/tmp/tmp.vs0VjIIzC6/E---3.1_12801.p',subset_0)). 0.16/0.52 thf(f373,plain,( 0.16/0.52 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((member @ X1 @ (union @ X2 @ X3) @ mactual) = ((member @ X1 @ X2 @ mactual) | (member @ X1 @ X3 @ mactual))))) )), 0.16/0.52 inference(beta_eta_normalization,[status(thm)],[f372])). 0.16/0.52 thf(f372,plain,( 0.16/0.52 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((member @ X1 @ (union @ X2 @ Y0) @ mactual) = ((member @ X1 @ X2 @ mactual) | (member @ X1 @ Y0 @ mactual)))) @ X3))) )), 0.16/0.52 inference(pi_clausification,[status(thm)],[f371])). 0.16/0.52 thf(f371,plain,( 0.16/0.52 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((member @ X1 @ (union @ X2 @ Y0) @ mactual) = ((member @ X1 @ X2 @ mactual) | (member @ X1 @ Y0 @ mactual))))) = $true)) )), 0.16/0.52 inference(beta_eta_normalization,[status(thm)],[f370])). 0.16/0.52 thf(f370,plain,( 0.16/0.52 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((member @ X1 @ (union @ Y0 @ Y1) @ mactual) = ((member @ X1 @ Y0 @ mactual) | (member @ X1 @ Y1 @ mactual)))))) @ X2))) )), 0.16/0.52 inference(pi_clausification,[status(thm)],[f369])). 0.16/0.52 thf(f369,plain,( 0.16/0.52 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((member @ X1 @ (union @ Y0 @ Y1) @ mactual) = ((member @ X1 @ Y0 @ mactual) | (member @ X1 @ Y1 @ mactual))))))))) )), 0.16/0.52 inference(beta_eta_normalization,[status(thm)],[f368])). 0.16/0.52 thf(f368,plain,( 0.16/0.52 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((member @ Y0 @ (union @ Y1 @ Y2) @ mactual) = ((member @ Y0 @ Y1 @ mactual) | (member @ Y0 @ Y2 @ mactual)))))))) @ X1) = $true)) )), 0.16/0.52 inference(pi_clausification,[status(thm)],[f367])). 0.16/0.52 thf(f367,plain,( 0.16/0.52 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((member @ Y0 @ (union @ Y1 @ Y2) @ mactual) = ((member @ Y0 @ Y1 @ mactual) | (member @ Y0 @ Y2 @ mactual))))))))))), 0.16/0.52 inference(beta_eta_normalization,[status(thm)],[f202])). 0.16/0.52 thf(f202,plain,( 0.16/0.52 ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) = (Y4 @ Y5))))))) @ (member @ Y0 @ (union @ Y1 @ Y2)) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ (member @ Y0 @ Y1) @ (member @ Y0 @ Y2)))))))))))), 0.16/0.52 inference(definition_unfolding,[status(thm)],[f164,f152,f161,f161,f161,f141,f173])). 0.16/0.52 thf(f173,plain,( 0.16/0.52 (mor = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) | (Y1 @ Y2))))))))), 0.16/0.52 inference(cnf_transformation,[status(thm)],[f81])). 0.16/0.52 thf(f81,plain,( 0.16/0.52 (mor = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) | (Y1 @ Y2))))))))), 0.16/0.52 inference(fool_elimination,[status(thm)],[f80])). 0.16/0.52 thf(f80,plain,( 0.16/0.52 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) | (X0 @ X2))) = mor)), 0.16/0.52 inference(rectify,[status(thm)],[f4])). 0.16/0.52 thf(f4,axiom,( 0.16/0.52 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) | (X1 @ X2))) = mor)), 0.16/0.52 file('/export/starexec/sandbox/tmp/tmp.vs0VjIIzC6/E---3.1_12801.p',mor_def)). 0.16/0.52 thf(f164,plain,( 0.16/0.52 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mequiv @ (member @ Y0 @ (union @ Y1 @ Y2)) @ (mor @ (member @ Y0 @ Y1) @ (member @ Y0 @ Y2)))))))))))), 0.16/0.52 inference(cnf_transformation,[status(thm)],[f57])). 0.16/0.52 thf(f57,plain,( 0.16/0.52 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mequiv @ (member @ Y0 @ (union @ Y1 @ Y2)) @ (mor @ (member @ Y0 @ Y1) @ (member @ Y0 @ Y2)))))))))))), 0.16/0.52 inference(fool_elimination,[status(thm)],[f56])). 0.16/0.52 thf(f56,plain,( 0.16/0.52 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X2 : $i] : (mequiv @ (member @ X0 @ (union @ X1 @ X2)) @ (mor @ (member @ X0 @ X1) @ (member @ X0 @ X2))))))))))), 0.16/0.52 inference(rectify,[status(thm)],[f43])). 0.16/0.52 thf(f43,axiom,( 0.16/0.52 (mlocal @ (mforall_di @ (^[X5 : $i] : (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (member @ X5 @ (union @ X1 @ X3)) @ (mor @ (member @ X5 @ X1) @ (member @ X5 @ X3))))))))))), 0.16/0.52 file('/export/starexec/sandbox/tmp/tmp.vs0VjIIzC6/E---3.1_12801.p',union_0)). 0.16/0.52 thf(f582,plain,( 0.16/0.52 ((member @ sK5 @ sK2 @ mactual) = $true) | ~spl1_1), 0.16/0.52 inference(binary_proxy_clausification,[status(thm)],[f580])). 0.16/0.52 thf(f572,plain,( 0.16/0.52 ~spl1_2), 0.16/0.52 inference(avatar_contradiction_clause,[status(thm)],[f571])). 0.16/0.52 thf(f571,plain,( 0.16/0.52 $false | ~spl1_2), 0.16/0.52 inference(trivial_inequality_removal,[status(thm)],[f570])). 0.16/0.52 thf(f570,plain,( 0.16/0.52 ($true = $false) | ~spl1_2), 0.16/0.52 inference(forward_demodulation,[status(thm)],[f556,f474])). 0.16/0.52 thf(f474,plain,( 0.16/0.52 ((member @ sK4 @ sK2 @ mactual) = $false) | ~spl1_2), 0.16/0.52 inference(binary_proxy_clausification,[status(thm)],[f473])). 0.16/0.52 thf(f473,plain,( 0.16/0.52 (((member @ sK4 @ (union @ sK2 @ sK2) @ mactual) => (member @ sK4 @ sK2 @ mactual)) = $false) | ~spl1_2), 0.16/0.52 inference(beta_eta_normalization,[status(thm)],[f472])). 0.16/0.52 thf(f472,plain,( 0.16/0.52 (((^[Y0 : $i]: ((member @ Y0 @ (union @ sK2 @ sK2) @ mactual) => (member @ Y0 @ sK2 @ mactual))) @ sK4) = $false) | ~spl1_2), 0.16/0.52 inference(sigma_clausification,[status(thm)],[f471])). 0.16/0.52 thf(f471,plain,( 0.16/0.52 ((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (union @ sK2 @ sK2) @ mactual) => (member @ Y0 @ sK2 @ mactual)))) = $false) | ~spl1_2), 0.16/0.52 inference(not_proxy_clausification,[status(thm)],[f470])). 0.16/0.52 thf(f470,plain,( 0.16/0.52 ((~ (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (union @ sK2 @ sK2) @ mactual) => (member @ Y0 @ sK2 @ mactual))))) = $true) | ~spl1_2), 0.16/0.52 inference(boolean_simplification,[status(thm)],[f469])). 0.16/0.52 thf(f469,plain,( 0.16/0.52 ($true = ($false = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (union @ sK2 @ sK2) @ mactual) => (member @ Y0 @ sK2 @ mactual)))))) | ~spl1_2), 0.16/0.52 inference(superposition,[status(thm)],[f423,f456])). 0.16/0.52 thf(f456,plain,( 0.16/0.52 ((subset @ (union @ sK2 @ sK2) @ sK2 @ mactual) = $false) | ~spl1_2), 0.16/0.52 inference(avatar_component_clause,[status(thm)],[f454])). 0.16/0.52 thf(f454,definition,( 0.16/0.52 spl1_2 <=> ((subset @ (union @ sK2 @ sK2) @ sK2 @ mactual) = $false)), 0.16/0.52 introduced(definition,[new_symbols(naming,[spl1_2])],[avatar_definition])). 0.16/0.52 thf(f556,plain,( 0.16/0.52 ((member @ sK4 @ sK2 @ mactual) = $true) | ~spl1_2), 0.16/0.52 inference(boolean_simplification,[status(thm)],[f555])). 0.16/0.52 thf(f555,plain,( 0.16/0.52 ($true = ((member @ sK4 @ sK2 @ mactual) | (member @ sK4 @ sK2 @ mactual))) | ~spl1_2), 0.16/0.52 inference(boolean_simplification,[status(thm)],[f551])). 0.16/0.52 thf(f551,plain,( 0.16/0.52 (($true = ((member @ sK4 @ sK2 @ mactual) | (member @ sK4 @ sK2 @ mactual))) = $true) | ~spl1_2), 0.16/0.52 inference(superposition,[status(thm)],[f373,f475])). 0.16/0.52 thf(f475,plain,( 0.16/0.52 ((member @ sK4 @ (union @ sK2 @ sK2) @ mactual) = $true) | ~spl1_2), 0.16/0.52 inference(binary_proxy_clausification,[status(thm)],[f473])). 0.16/0.52 thf(f457,plain,( 0.16/0.52 spl1_1 | spl1_2), 0.16/0.52 inference(avatar_split_clause,[status(thm)],[f448,f454,f450])). 0.16/0.52 thf(f448,plain,( 0.16/0.52 ((subset @ sK2 @ (union @ sK2 @ sK2) @ mactual) = $false) | ((subset @ (union @ sK2 @ sK2) @ sK2 @ mactual) = $false)), 0.16/0.52 inference(binary_proxy_clausification,[status(thm)],[f447])). 0.16/0.52 thf(f447,plain,( 0.16/0.52 (((subset @ sK2 @ (union @ sK2 @ sK2) @ mactual) & (subset @ (union @ sK2 @ sK2) @ sK2 @ mactual)) = $false)), 0.16/0.52 inference(not_proxy_clausification,[status(thm)],[f446])). 0.16/0.52 thf(f446,plain,( 0.16/0.52 ($true = (~ ((subset @ sK2 @ (union @ sK2 @ sK2) @ mactual) & (subset @ (union @ sK2 @ sK2) @ sK2 @ mactual))))), 0.16/0.52 inference(boolean_simplification,[status(thm)],[f445])). 0.16/0.52 thf(f445,plain,( 0.16/0.52 (($false = ((subset @ sK2 @ (union @ sK2 @ sK2) @ mactual) & (subset @ (union @ sK2 @ sK2) @ sK2 @ mactual))) = $true)), 0.16/0.52 inference(superposition,[status(thm)],[f218,f334])). 0.16/0.52 thf(f334,plain,( 0.16/0.52 ((equal_set @ (union @ sK2 @ sK2) @ sK2 @ mactual) = $false)), 0.16/0.52 inference(beta_eta_normalization,[status(thm)],[f333])). 0.16/0.52 thf(f333,plain,( 0.16/0.52 (((^[Y0 : $i]: (equal_set @ (union @ Y0 @ Y0) @ Y0 @ mactual)) @ sK2) = $false)), 0.16/0.52 inference(sigma_clausification,[status(thm)],[f332])). 0.16/0.52 thf(f332,plain,( 0.16/0.52 ((!! @ $i @ (^[Y0 : $i]: (equal_set @ (union @ Y0 @ Y0) @ Y0 @ mactual))) != $true)), 0.16/0.52 inference(beta_eta_normalization,[status(thm)],[f192])). 0.16/0.52 thf(f192,plain,( 0.16/0.52 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: (equal_set @ (union @ Y0 @ Y0) @ Y0)))) != $true)), 0.16/0.52 inference(definition_unfolding,[status(thm)],[f150,f152,f161])). 0.16/0.52 thf(f150,plain,( 0.16/0.52 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (equal_set @ (union @ Y0 @ Y0) @ Y0)))) != $true)), 0.16/0.52 inference(cnf_transformation,[status(thm)],[f134])). 0.16/0.52 thf(f134,plain,( 0.16/0.52 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (equal_set @ (union @ Y0 @ Y0) @ Y0)))) != $true)), 0.16/0.52 inference(flattening,[status(thm)],[f101])). 0.16/0.52 thf(f101,plain,( 0.16/0.52 ~((mlocal @ (mforall_di @ (^[Y0 : $i]: (equal_set @ (union @ Y0 @ Y0) @ Y0)))) = $true)), 0.16/0.52 inference(fool_elimination,[status(thm)],[f100])). 0.16/0.52 thf(f100,plain,( 0.16/0.52 ~(mlocal @ (mforall_di @ (^[X0 : $i] : (equal_set @ (union @ X0 @ X0) @ X0))))), 0.16/0.52 inference(rectify,[status(thm)],[f22])). 0.16/0.52 thf(f22,negated_conjecture,( 0.16/0.52 ~(mlocal @ (mforall_di @ (^[X1 : $i] : (equal_set @ (union @ X1 @ X1) @ X1))))), 0.16/0.52 inference(negated_conjecture,[status(cth)],[f21])). 0.16/0.52 thf(f21,conjecture,( 0.16/0.52 (mlocal @ (mforall_di @ (^[X1 : $i] : (equal_set @ (union @ X1 @ X1) @ X1))))), 0.16/0.52 file('/export/starexec/sandbox/tmp/tmp.vs0VjIIzC6/E---3.1_12801.p',thI14)). 0.16/0.52 thf(f218,plain,( 0.16/0.52 ( ! [X2 : $i,X1 : $i] : (($true = ((equal_set @ X1 @ X2 @ mactual) = ((subset @ X2 @ X1 @ mactual) & (subset @ X1 @ X2 @ mactual))))) )), 0.16/0.52 inference(beta_eta_normalization,[status(thm)],[f217])). 0.16/0.52 thf(f217,plain,( 0.16/0.52 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((equal_set @ X1 @ Y0 @ mactual) = ((subset @ Y0 @ X1 @ mactual) & (subset @ X1 @ Y0 @ mactual)))) @ X2))) )), 0.16/0.52 inference(pi_clausification,[status(thm)],[f216])). 0.16/0.52 thf(f216,plain,( 0.16/0.52 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((equal_set @ X1 @ Y0 @ mactual) = ((subset @ Y0 @ X1 @ mactual) & (subset @ X1 @ Y0 @ mactual))))) = $true)) )), 0.16/0.52 inference(beta_eta_normalization,[status(thm)],[f215])). 0.16/0.52 thf(f215,plain,( 0.16/0.52 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((equal_set @ Y0 @ Y1 @ mactual) = ((subset @ Y1 @ Y0 @ mactual) & (subset @ Y0 @ Y1 @ mactual)))))) @ X1) = $true)) )), 0.16/0.52 inference(pi_clausification,[status(thm)],[f214])). 0.16/0.52 thf(f214,plain,( 0.16/0.52 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((equal_set @ Y0 @ Y1 @ mactual) = ((subset @ Y1 @ Y0 @ mactual) & (subset @ Y0 @ Y1 @ mactual))))))))), 0.16/0.52 inference(beta_eta_normalization,[status(thm)],[f196])). 0.16/0.52 thf(f196,plain,( 0.16/0.52 ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) = (Y3 @ Y4))))))) @ (equal_set @ Y0 @ Y1) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y3 @ Y4) & (Y2 @ Y4))))))) @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))))), 0.16/0.52 inference(definition_unfolding,[status(thm)],[f155,f152,f161,f161,f141,f169])). 0.16/0.52 thf(f169,plain,( 0.16/0.52 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))), 0.16/0.52 inference(cnf_transformation,[status(thm)],[f107])). 0.16/0.52 thf(f107,plain,( 0.16/0.52 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))), 0.16/0.52 inference(fool_elimination,[status(thm)],[f106])). 0.16/0.52 thf(f106,plain,( 0.16/0.52 (mand = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) & (X1 @ X2))))), 0.16/0.52 inference(rectify,[status(thm)],[f3])). 0.16/0.52 thf(f3,axiom,( 0.16/0.52 (mand = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X3 @ X2))))), 0.16/0.52 file('/export/starexec/sandbox/tmp/tmp.vs0VjIIzC6/E---3.1_12801.p',mand_def)). 0.16/0.52 thf(f155,plain,( 0.16/0.52 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (equal_set @ Y0 @ Y1) @ (mand @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))) = $true)), 0.16/0.52 inference(cnf_transformation,[status(thm)],[f115])). 0.16/0.52 thf(f115,plain,( 0.16/0.52 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (equal_set @ Y0 @ Y1) @ (mand @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))) = $true)), 0.16/0.52 inference(fool_elimination,[status(thm)],[f114])). 0.16/0.52 thf(f114,plain,( 0.16/0.52 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (equal_set @ X0 @ X1) @ (mand @ (subset @ X0 @ X1) @ (subset @ X1 @ X0))))))))), 0.16/0.52 inference(rectify,[status(thm)],[f39])). 0.16/0.52 thf(f39,axiom,( 0.16/0.52 (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (equal_set @ X1 @ X3) @ (mand @ (subset @ X1 @ X3) @ (subset @ X3 @ X1))))))))), 0.16/0.52 file('/export/starexec/sandbox/tmp/tmp.vs0VjIIzC6/E---3.1_12801.p',equal_set_0)). 0.16/0.52 % SZS output end Proof for E---3.1_12801 0.16/0.52 % (12943)------------------------------ 0.16/0.52 % (12943)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.16/0.52 % (12943)Termination reason: Refutation 0.16/0.52 0.16/0.52 % (12943)Memory used [KB]: 6396 0.16/0.52 % (12943)Time elapsed: 0.051 s 0.16/0.52 % (12943)Instructions burned: 100 (million) 0.16/0.52 % (12943)------------------------------ 0.16/0.52 % (12943)------------------------------ 0.16/0.52 % (12907)Success in time 0.203 s 0.16/0.52 EOF