0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.03 % Command : run_vampire %s %d THM 0.08/0.34 % Computer : n015.cluster.edu 0.08/0.34 % Model : x86_64 x86_64 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.34 % Memory : 8046.5625MB 0.08/0.34 % OS : Linux 6.8.0-71-generic 0.08/0.34 % CPULimit : 1440 0.08/0.34 % WCLimit : 180 0.08/0.34 % DateTime : Mon Jul 27 10:06:19 UTC 2026 0.08/0.34 % CPUTime : 0.14/0.37 This is a THF_ problem 0.14/0.37 Running higher-order theorem proving 0.14/0.39 Running /export/starexec/sandbox2/solver/bin/vampire-hol --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --print_def_sorts on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.s6h57tX3N2/E---3.1_862868.p -m 16384 -t 180 0.14/0.42 % (862915)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_862868 for (1799ds/2Mi) 0.14/0.42 % (862915)Instruction limit reached! 0.14/0.42 % (862915)------------------------------ 0.14/0.42 % (862915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.14/0.42 % (862915)Termination reason: Unknown 0.14/0.42 % (862915)Termination phase: Property scanning 0.14/0.42 0.14/0.42 % (862915)Memory used [KB]: 1023 0.14/0.42 % (862915)Time elapsed: 0.002 s 0.14/0.42 % (862915)Instructions burned: 2 (million) 0.14/0.42 % (862915)------------------------------ 0.14/0.42 % (862915)------------------------------ 0.14/0.43 % (862912)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_862868 for (1799ds/183Mi) 0.14/0.43 % (862913)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_862868 for (1799ds/4Mi) 0.14/0.43 % (862914)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_862868 for (1799ds/27Mi) 0.14/0.43 % (862916)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_862868 for (1799ds/2Mi) 0.14/0.43 % (862918)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_862868 for (1799ds/18Mi) 0.14/0.43 % (862916)Instruction limit reached! 0.14/0.43 % (862916)------------------------------ 0.14/0.43 % (862916)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.14/0.43 % (862916)Termination reason: Unknown 0.14/0.43 % (862916)Termination phase: shuffling 0.14/0.43 0.14/0.43 % (862916)Memory used [KB]: 1023 0.14/0.43 % (862916)Time elapsed: 0.003 s 0.14/0.43 % (862916)Instructions burned: 2 (million) 0.14/0.43 % (862916)------------------------------ 0.14/0.43 % (862916)------------------------------ 0.14/0.43 % (862919)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_862868 for (1799ds/3Mi) 0.14/0.43 % (862913)Instruction limit reached! 0.14/0.43 % (862913)------------------------------ 0.14/0.43 % (862913)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.14/0.43 % (862913)Termination reason: Unknown 0.14/0.43 % (862913)Termination phase: Saturation 0.14/0.43 0.14/0.43 % (862913)Memory used [KB]: 5500 0.14/0.43 % (862913)Time elapsed: 0.005 s 0.14/0.43 % (862913)Instructions burned: 5 (million) 0.14/0.43 % (862913)------------------------------ 0.14/0.43 % (862913)------------------------------ 0.14/0.43 % (862919)Instruction limit reached! 0.14/0.43 % (862919)------------------------------ 0.14/0.43 % (862919)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.14/0.43 % (862919)Termination reason: Unknown 0.14/0.43 % (862919)Termination phase: Property scanning 0.14/0.43 0.14/0.43 % (862919)Memory used [KB]: 1023 0.14/0.43 % (862919)Time elapsed: 0.002 s 0.14/0.43 % (862919)Instructions burned: 3 (million) 0.14/0.43 % (862919)------------------------------ 0.14/0.43 % (862919)------------------------------ 0.14/0.44 % (862914)Refutation not found, incomplete strategy 0.14/0.44 % (862914)------------------------------ 0.14/0.44 % (862914)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.14/0.44 % (862914)Termination reason: Refutation not found, incomplete strategy 0.14/0.44 0.14/0.44 0.14/0.44 % (862914)Memory used [KB]: 5500 0.14/0.44 % (862914)Time elapsed: 0.007 s 0.14/0.44 % (862914)Instructions burned: 7 (million) 0.14/0.44 % (862914)------------------------------ 0.14/0.44 % (862914)------------------------------ 0.14/0.44 % (862917)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_862868 for (1799ds/275Mi) 0.14/0.44 % (862917)Refutation not found, incomplete strategy 0.14/0.44 % (862917)------------------------------ 0.14/0.44 % (862917)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.14/0.44 % (862917)Termination reason: Refutation not found, incomplete strategy 0.14/0.44 0.14/0.44 0.14/0.44 % (862917)Memory used [KB]: 5500 0.14/0.44 % (862917)Time elapsed: 0.007 s 0.14/0.44 % (862917)Instructions burned: 3 (million) 0.14/0.44 % (862917)------------------------------ 0.14/0.44 % (862917)------------------------------ 0.14/0.44 % (862918)Instruction limit reached! 0.14/0.44 % (862918)------------------------------ 0.14/0.44 % (862918)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.14/0.44 % (862918)Termination reason: Unknown 0.14/0.44 % (862918)Termination phase: Saturation 0.14/0.44 0.14/0.44 % (862918)Memory used [KB]: 5628 0.14/0.44 % (862918)Time elapsed: 0.014 s 0.14/0.44 % (862918)Instructions burned: 18 (million) 0.14/0.44 % (862918)------------------------------ 0.14/0.44 % (862918)------------------------------ 0.14/0.44 % (862922)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_862868 for (1799ds/3Mi) 0.14/0.44 % (862922)Instruction limit reached! 0.14/0.44 % (862922)------------------------------ 0.14/0.44 % (862922)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.14/0.44 % (862922)Termination reason: Unknown 0.14/0.44 % (862922)Termination phase: Property scanning 0.14/0.44 0.14/0.44 % (862922)Memory used [KB]: 1023 0.14/0.44 % (862922)Time elapsed: 0.002 s 0.14/0.44 % (862922)Instructions burned: 4 (million) 0.14/0.44 % (862922)------------------------------ 0.14/0.44 % (862922)------------------------------ 0.14/0.45 % (862920)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_862868 for (1799ds/37Mi) 0.14/0.45 % (862921)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_862868 for (1799ds/15Mi) 0.14/0.45 % (862926)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_862868 for (1799ds/3Mi) 0.14/0.45 % (862923)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_862868 for (1799ds/1041Mi) 0.14/0.45 % (862921)Refutation not found, incomplete strategy 0.14/0.45 % (862921)------------------------------ 0.14/0.45 % (862921)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.14/0.45 % (862921)Termination reason: Refutation not found, incomplete strategy 0.14/0.45 0.14/0.45 0.14/0.45 % (862921)Memory used [KB]: 5500 0.14/0.45 % (862921)Time elapsed: 0.005 s 0.14/0.45 % (862921)Instructions burned: 5 (million) 0.14/0.45 % (862926)Instruction limit reached! 0.14/0.45 % (862926)------------------------------ 0.14/0.45 % (862926)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.14/0.45 % (862926)Termination reason: Unknown 0.14/0.45 % (862926)Termination phase: Property scanning 0.14/0.45 0.14/0.45 % (862926)Memory used [KB]: 1023 0.14/0.45 % (862926)Time elapsed: 0.002 s 0.14/0.45 % (862926)Instructions burned: 3 (million) 0.14/0.45 % (862926)------------------------------ 0.14/0.45 % (862926)------------------------------ 0.14/0.46 % (862921)------------------------------ 0.14/0.46 % (862921)------------------------------ 0.37/0.46 % (862925)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_862868 for (1799ds/16Mi) 0.37/0.46 % (862927)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_862868 for (1799ds/3Mi) 0.37/0.47 % (862927)Instruction limit reached! 0.37/0.47 % (862927)------------------------------ 0.37/0.47 % (862927)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.47 % (862927)Termination reason: Unknown 0.37/0.47 % (862927)Termination phase: Function definition elimination 0.37/0.47 0.37/0.47 % (862927)Memory used [KB]: 1023 0.37/0.47 % (862927)Time elapsed: 0.002 s 0.37/0.47 % (862927)Instructions burned: 3 (million) 0.37/0.47 % (862927)------------------------------ 0.37/0.47 % (862927)------------------------------ 0.37/0.47 % (862923)Refutation not found, incomplete strategy 0.37/0.47 % (862923)------------------------------ 0.37/0.47 % (862923)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.47 % (862923)Termination reason: Refutation not found, incomplete strategy 0.37/0.47 0.37/0.47 0.37/0.47 % (862923)Memory used [KB]: 5628 0.37/0.47 % (862923)Time elapsed: 0.018 s 0.37/0.47 % (862923)Instructions burned: 25 (million) 0.37/0.47 % (862923)------------------------------ 0.37/0.47 % (862923)------------------------------ 0.37/0.47 % (862925)Instruction limit reached! 0.37/0.47 % (862925)------------------------------ 0.37/0.47 % (862925)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.47 % (862925)Termination reason: Unknown 0.37/0.47 % (862925)Termination phase: Saturation 0.37/0.47 0.37/0.47 % (862925)Memory used [KB]: 5628 0.37/0.47 % (862925)Time elapsed: 0.013 s 0.37/0.47 % (862925)Instructions burned: 16 (million) 0.37/0.47 % (862925)------------------------------ 0.37/0.47 % (862925)------------------------------ 0.37/0.47 % (862920)Instruction limit reached! 0.37/0.47 % (862920)------------------------------ 0.37/0.47 % (862920)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.47 % (862920)Termination reason: Unknown 0.37/0.47 % (862920)Termination phase: Saturation 0.37/0.47 0.37/0.47 % (862920)Memory used [KB]: 5756 0.37/0.47 % (862920)Time elapsed: 0.025 s 0.37/0.47 % (862920)Instructions burned: 37 (million) 0.37/0.47 % (862920)------------------------------ 0.37/0.47 % (862920)------------------------------ 0.37/0.47 % (862928)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_862868 for (1799ds/7Mi) 0.37/0.47 % (862929)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_862868 for (1799ds/3Mi) 0.37/0.48 % (862924)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_862868 for (1799ds/7Mi) 0.37/0.48 % (862929)Instruction limit reached! 0.37/0.48 % (862929)------------------------------ 0.37/0.48 % (862929)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.48 % (862929)Termination reason: Unknown 0.37/0.48 % (862929)Termination phase: Function definition elimination 0.37/0.48 0.37/0.48 % (862929)Memory used [KB]: 1023 0.37/0.48 % (862929)Time elapsed: 0.002 s 0.37/0.48 % (862929)Instructions burned: 3 (million) 0.37/0.48 % (862929)------------------------------ 0.37/0.48 % (862929)------------------------------ 0.37/0.48 % (862928)Refutation not found, incomplete strategy 0.37/0.48 % (862928)------------------------------ 0.37/0.48 % (862928)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.48 % (862928)Termination reason: Refutation not found, incomplete strategy 0.37/0.48 0.37/0.48 0.37/0.48 % (862928)Memory used [KB]: 5500 0.37/0.48 % (862928)Time elapsed: 0.006 s 0.37/0.48 % (862928)Instructions burned: 5 (million) 0.37/0.48 % (862928)------------------------------ 0.37/0.48 % (862928)------------------------------ 0.37/0.48 % (862924)Instruction limit reached! 0.37/0.48 % (862924)------------------------------ 0.37/0.48 % (862924)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.48 % (862924)Termination reason: Unknown 0.37/0.48 % (862924)Termination phase: Saturation 0.37/0.48 0.37/0.48 % (862924)Memory used [KB]: 1023 0.37/0.48 % (862924)Time elapsed: 0.010 s 0.37/0.48 % (862924)Instructions burned: 7 (million) 0.37/0.48 % (862924)------------------------------ 0.37/0.48 % (862924)------------------------------ 0.37/0.49 % (862933)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_862868 for (1799ds/6Mi) 0.37/0.49 % (862933)Instruction limit reached! 0.37/0.49 % (862933)------------------------------ 0.37/0.49 % (862933)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.49 % (862933)Termination reason: Unknown 0.37/0.49 % (862933)Termination phase: Saturation 0.37/0.49 0.37/0.49 % (862933)Memory used [KB]: 5500 0.37/0.49 % (862933)Time elapsed: 0.003 s 0.37/0.49 % (862933)Instructions burned: 6 (million) 0.37/0.49 % (862933)------------------------------ 0.37/0.49 % (862933)------------------------------ 0.37/0.49 % (862930)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_862868 for (1799ds/4Mi) 0.37/0.49 % (862931)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_862868 for (1799ds/18Mi) 0.37/0.49 % (862932)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_862868 for (1799ds/710Mi) 0.37/0.49 % (862930)Instruction limit reached! 0.37/0.49 % (862930)------------------------------ 0.37/0.49 % (862930)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.49 % (862930)Termination reason: Unknown 0.37/0.49 % (862930)Termination phase: Saturation 0.37/0.49 0.37/0.49 % (862930)Memory used [KB]: 1023 0.37/0.49 % (862930)Time elapsed: 0.004 s 0.37/0.49 % (862930)Instructions burned: 4 (million) 0.37/0.49 % (862930)------------------------------ 0.37/0.49 % (862930)------------------------------ 0.37/0.50 % (862934)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_862868 for (1799ds/902Mi) 0.37/0.50 % (862936)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_862868 for (1799ds/5Mi) 0.37/0.50 % (862934)Refutation not found, incomplete strategy 0.37/0.50 % (862934)------------------------------ 0.37/0.50 % (862934)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.50 % (862934)Termination reason: Refutation not found, incomplete strategy 0.37/0.50 0.37/0.50 0.37/0.50 % (862934)Memory used [KB]: 5500 0.37/0.50 % (862934)Time elapsed: 0.004 s 0.37/0.50 % (862934)Instructions burned: 3 (million) 0.37/0.50 % (862934)------------------------------ 0.37/0.50 % (862934)------------------------------ 0.37/0.50 % (862936)Instruction limit reached! 0.37/0.50 % (862936)------------------------------ 0.37/0.50 % (862936)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.50 % (862936)Termination reason: Unknown 0.37/0.50 % (862936)Termination phase: Saturation 0.37/0.50 0.37/0.50 % (862936)Memory used [KB]: 5500 0.37/0.50 % (862936)Time elapsed: 0.003 s 0.37/0.50 % (862936)Instructions burned: 7 (million) 0.37/0.50 % (862936)------------------------------ 0.37/0.50 % (862936)------------------------------ 0.37/0.50 % (862935)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_862868 for (1799ds/21Mi) 0.37/0.50 % (862931)Instruction limit reached! 0.37/0.50 % (862931)------------------------------ 0.37/0.50 % (862931)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.50 % (862931)Termination reason: Unknown 0.37/0.50 % (862931)Termination phase: Saturation 0.37/0.50 0.37/0.50 % (862931)Memory used [KB]: 5628 0.37/0.50 % (862931)Time elapsed: 0.015 s 0.37/0.50 % (862931)Instructions burned: 19 (million) 0.37/0.50 % (862931)------------------------------ 0.37/0.50 % (862931)------------------------------ 0.37/0.51 % (862939)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_862868 for (1799ds/779Mi) 0.37/0.51 % (862937)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_862868 for (1799ds/6Mi) 0.37/0.51 % (862937)Refutation not found, incomplete strategy 0.37/0.51 % (862937)------------------------------ 0.37/0.51 % (862937)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.51 % (862937)Termination reason: Refutation not found, incomplete strategy 0.37/0.51 0.37/0.51 0.37/0.51 % (862937)Memory used [KB]: 5500 0.37/0.51 % (862937)Time elapsed: 0.004 s 0.37/0.51 % (862937)Instructions burned: 3 (million) 0.37/0.51 % (862937)------------------------------ 0.37/0.51 % (862937)------------------------------ 0.37/0.52 % (862935)Instruction limit reached! 0.37/0.52 % (862935)------------------------------ 0.37/0.52 % (862935)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.52 % (862935)Termination reason: Unknown 0.37/0.52 % (862935)Termination phase: Saturation 0.37/0.52 0.37/0.52 % (862935)Memory used [KB]: 5628 0.37/0.52 % (862935)Time elapsed: 0.038 s 0.37/0.52 % (862935)Instructions burned: 22 (million) 0.37/0.52 % (862935)------------------------------ 0.37/0.52 % (862935)------------------------------ 0.37/0.52 % (862938)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_862868 for (1799ds/377Mi) 0.37/0.52 % (862940)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_862868 for (1799ds/19Mi) 0.37/0.52 % (862938)Refutation not found, incomplete strategy 0.37/0.52 % (862938)------------------------------ 0.37/0.52 % (862938)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.52 % (862938)Termination reason: Refutation not found, incomplete strategy 0.37/0.52 0.37/0.52 0.37/0.52 % (862938)Memory used [KB]: 5500 0.37/0.52 % (862938)Time elapsed: 0.006 s 0.37/0.52 % (862938)Instructions burned: 6 (million) 0.37/0.52 % (862938)------------------------------ 0.37/0.52 % (862938)------------------------------ 0.37/0.52 % (862940)Refutation not found, incomplete strategy 0.37/0.52 % (862940)------------------------------ 0.37/0.52 % (862940)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.52 % (862940)Termination reason: Refutation not found, incomplete strategy 0.37/0.52 0.37/0.52 0.37/0.52 % (862940)Memory used [KB]: 5500 0.37/0.52 % (862940)Time elapsed: 0.004 s 0.37/0.52 % (862940)Instructions burned: 3 (million) 0.37/0.52 % (862940)------------------------------ 0.37/0.52 % (862940)------------------------------ 0.37/0.53 % (862941)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_862868 for (1798ds/879Mi) 0.37/0.53 % (862942)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_862868 for (1798ds/17Mi) 0.37/0.53 % (862941)Refutation not found, incomplete strategy 0.37/0.53 % (862941)------------------------------ 0.37/0.53 % (862941)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.53 % (862941)Termination reason: Refutation not found, incomplete strategy 0.37/0.53 0.37/0.53 0.37/0.53 % (862941)Memory used [KB]: 5500 0.37/0.53 % (862941)Time elapsed: 0.006 s 0.37/0.53 % (862941)Instructions burned: 6 (million) 0.37/0.53 % (862941)------------------------------ 0.37/0.53 % (862941)------------------------------ 0.37/0.54 % (862943)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_862868 for (1798ds/3Mi) 0.37/0.54 % (862943)Instruction limit reached! 0.37/0.54 % (862943)------------------------------ 0.37/0.54 % (862943)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.54 % (862943)Termination reason: Unknown 0.37/0.54 % (862943)Termination phase: Equality resolution with deletion 0.37/0.54 0.37/0.54 % (862943)Memory used [KB]: 1023 0.37/0.54 % (862943)Time elapsed: 0.004 s 0.37/0.54 % (862943)Instructions burned: 4 (million) 0.37/0.54 % (862943)------------------------------ 0.37/0.54 % (862943)------------------------------ 0.37/0.54 % (862912)Instruction limit reached! 0.37/0.54 % (862912)------------------------------ 0.37/0.54 % (862912)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.54 % (862912)Termination reason: Unknown 0.37/0.54 % (862912)Termination phase: Saturation 0.37/0.54 0.37/0.54 % (862912)Memory used [KB]: 6140 0.37/0.54 % (862912)Time elapsed: 0.114 s 0.37/0.54 % (862912)Instructions burned: 184 (million) 0.37/0.54 % (862912)------------------------------ 0.37/0.54 % (862912)------------------------------ 0.37/0.55 % (862942)Instruction limit reached! 0.37/0.55 % (862942)------------------------------ 0.37/0.55 % (862942)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.55 % (862942)Termination reason: Unknown 0.37/0.55 % (862942)Termination phase: Saturation 0.37/0.55 0.37/0.55 % (862942)Memory used [KB]: 5628 0.37/0.55 % (862942)Time elapsed: 0.014 s 0.37/0.55 % (862942)Instructions burned: 17 (million) 0.37/0.55 % (862942)------------------------------ 0.37/0.55 % (862942)------------------------------ 0.37/0.55 % (862944)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_862868 for (1798ds/30Mi) 0.37/0.55 % (862945)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_862868 for (1798ds/127Mi) 0.37/0.56 % (862946)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_862868 for (1798ds/100Mi) 0.37/0.56 % (862947)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_862868 for (1798ds/3Mi) 0.37/0.56 % (862947)Instruction limit reached! 0.37/0.56 % (862947)------------------------------ 0.37/0.56 % (862947)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.56 % (862947)Termination reason: Unknown 0.37/0.56 % (862947)Termination phase: Function definition elimination 0.37/0.56 0.37/0.56 % (862947)Memory used [KB]: 1023 0.37/0.56 % (862947)Time elapsed: 0.004 s 0.37/0.56 % (862947)Instructions burned: 4 (million) 0.37/0.56 % (862947)------------------------------ 0.37/0.56 % (862947)------------------------------ 0.37/0.56 % (862948)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_862868 for (1798ds/20Mi) 0.37/0.57 % (862948)Refutation not found, incomplete strategy 0.37/0.57 % (862948)------------------------------ 0.37/0.57 % (862948)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.57 % (862948)Termination reason: Refutation not found, incomplete strategy 0.37/0.57 0.37/0.57 0.37/0.57 % (862948)Memory used [KB]: 5500 0.37/0.57 % (862948)Time elapsed: 0.004 s 0.37/0.57 % (862948)Instructions burned: 3 (million) 0.37/0.57 % (862948)------------------------------ 0.37/0.57 % (862948)------------------------------ 0.37/0.57 % (862946)Refutation not found, incomplete strategy 0.37/0.57 % (862946)------------------------------ 0.37/0.57 % (862946)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.37/0.57 % (862946)Termination reason: Refutation not found, incomplete strategy 0.37/0.57 0.37/0.57 0.37/0.57 % (862946)Memory used [KB]: 5628 0.37/0.57 % (862946)Time elapsed: 0.009 s 0.37/0.57 % (862946)Instructions burned: 12 (million) 0.37/0.57 % (862946)------------------------------ 0.37/0.57 % (862946)------------------------------ 1.12/0.58 % (862944)Instruction limit reached! 1.12/0.58 % (862944)------------------------------ 1.12/0.58 % (862944)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.12/0.58 % (862944)Termination reason: Unknown 1.12/0.58 % (862944)Termination phase: Saturation 1.12/0.58 1.12/0.58 % (862944)Memory used [KB]: 5756 1.12/0.58 % (862944)Time elapsed: 0.037 s 1.12/0.58 % (862944)Instructions burned: 31 (million) 1.12/0.58 % (862944)------------------------------ 1.12/0.58 % (862944)------------------------------ 1.12/0.58 % (862949)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_862868 for (1798ds/86Mi) 1.12/0.58 % (862950)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on E---3.1_862868 for (1798ds/107Mi) 1.12/0.59 % (862951)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on E---3.1_862868 for (1798ds/39Mi) 1.12/0.59 % (862950)Refutation not found, incomplete strategy 1.12/0.59 % (862950)------------------------------ 1.12/0.59 % (862950)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.12/0.59 % (862950)Termination reason: Refutation not found, incomplete strategy 1.12/0.59 1.12/0.59 1.12/0.59 % (862950)Memory used [KB]: 5500 1.12/0.59 % (862950)Time elapsed: 0.005 s 1.12/0.59 % (862950)Instructions burned: 5 (million) 1.12/0.59 % (862950)------------------------------ 1.12/0.59 % (862950)------------------------------ 1.12/0.60 % (862952)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on E---3.1_862868 for (1798ds/448Mi) 1.12/0.60 % (862952)Refutation not found, incomplete strategy 1.12/0.60 % (862952)------------------------------ 1.12/0.60 % (862952)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.12/0.60 % (862952)Termination reason: Refutation not found, incomplete strategy 1.12/0.60 1.12/0.60 1.12/0.60 % (862952)Memory used [KB]: 5500 1.12/0.60 % (862952)Time elapsed: 0.004 s 1.12/0.60 % (862952)Instructions burned: 4 (million) 1.12/0.60 % (862952)------------------------------ 1.12/0.60 % (862952)------------------------------ 1.12/0.61 % (862953)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on E---3.1_862868 for (1798ds/46Mi) 1.12/0.61 % (862951)Instruction limit reached! 1.12/0.61 % (862951)------------------------------ 1.12/0.61 % (862951)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.12/0.61 % (862951)Termination reason: Unknown 1.12/0.61 % (862951)Termination phase: Saturation 1.12/0.61 1.12/0.61 % (862951)Memory used [KB]: 5628 1.12/0.61 % (862951)Time elapsed: 0.025 s 1.12/0.61 % (862951)Instructions burned: 39 (million) 1.12/0.61 % (862951)------------------------------ 1.12/0.61 % (862951)------------------------------ 1.12/0.62 % (862954)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on E---3.1_862868 for (1798ds/98Mi) 1.12/0.63 % (862955)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on E---3.1_862868 for (1798ds/507Mi) 1.47/0.63 % (862945)Instruction limit reached! 1.47/0.63 % (862945)------------------------------ 1.47/0.63 % (862945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.47/0.63 % (862945)Termination reason: Unknown 1.47/0.63 % (862945)Termination phase: Saturation 1.47/0.63 1.47/0.63 % (862945)Memory used [KB]: 5884 1.47/0.63 % (862945)Time elapsed: 0.079 s 1.47/0.63 % (862945)Instructions burned: 127 (million) 1.47/0.63 % (862945)------------------------------ 1.47/0.63 % (862945)------------------------------ 1.47/0.63 % (862954)Refutation not found, incomplete strategy 1.47/0.63 % (862954)------------------------------ 1.47/0.63 % (862954)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.47/0.63 % (862954)Termination reason: Refutation not found, incomplete strategy 1.47/0.63 1.47/0.63 1.47/0.63 % (862954)Memory used [KB]: 1151 1.47/0.63 % (862954)Time elapsed: 0.012 s 1.47/0.63 % (862954)Instructions burned: 16 (million) 1.47/0.63 % (862954)------------------------------ 1.47/0.63 % (862954)------------------------------ 1.47/0.63 % (862955)Refutation not found, incomplete strategy 1.47/0.63 % (862955)------------------------------ 1.47/0.63 % (862955)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.47/0.63 % (862955)Termination reason: Refutation not found, incomplete strategy 1.47/0.63 1.47/0.63 1.47/0.63 % (862955)Memory used [KB]: 5500 1.47/0.63 % (862955)Time elapsed: 0.006 s 1.47/0.63 % (862955)Instructions burned: 5 (million) 1.47/0.63 % (862955)------------------------------ 1.47/0.63 % (862955)------------------------------ 1.47/0.63 % (862949)Instruction limit reached! 1.47/0.63 % (862949)------------------------------ 1.47/0.63 % (862949)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.47/0.63 % (862949)Termination reason: Unknown 1.47/0.63 % (862949)Termination phase: Saturation 1.47/0.63 1.47/0.63 % (862949)Memory used [KB]: 5756 1.47/0.63 % (862949)Time elapsed: 0.054 s 1.47/0.63 % (862949)Instructions burned: 86 (million) 1.47/0.63 % (862949)------------------------------ 1.47/0.63 % (862949)------------------------------ 1.47/0.64 % (862953)Instruction limit reached! 1.47/0.64 % (862953)------------------------------ 1.47/0.64 % (862953)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.47/0.64 % (862953)Termination reason: Unknown 1.47/0.64 % (862953)Termination phase: Saturation 1.47/0.64 1.47/0.64 % (862953)Memory used [KB]: 5756 1.47/0.64 % (862953)Time elapsed: 0.032 s 1.47/0.64 % (862953)Instructions burned: 47 (million) 1.47/0.64 % (862953)------------------------------ 1.47/0.64 % (862953)------------------------------ 1.47/0.65 % (862958)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on E---3.1_862868 for (1797ds/6Mi) 1.47/0.65 % (862959)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on E---3.1_862868 for (1797ds/1087Mi) 1.47/0.65 % (862958)Instruction limit reached! 1.47/0.65 % (862958)------------------------------ 1.47/0.65 % (862958)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.47/0.65 % (862958)Termination reason: Unknown 1.47/0.65 % (862958)Termination phase: Saturation 1.47/0.65 1.47/0.65 % (862958)Memory used [KB]: 9978 1.47/0.65 % (862958)Time elapsed: 0.006 s 1.47/0.65 % (862958)Instructions burned: 7 (million) 1.47/0.65 % (862958)------------------------------ 1.47/0.65 % (862958)------------------------------ 1.47/0.65 % (862959)Refutation not found, incomplete strategy 1.47/0.65 % (862959)------------------------------ 1.47/0.65 % (862959)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.47/0.65 % (862959)Termination reason: Refutation not found, incomplete strategy 1.47/0.65 1.47/0.65 1.47/0.65 % (862959)Memory used [KB]: 5500 1.47/0.65 % (862959)Time elapsed: 0.005 s 1.47/0.65 % (862959)Instructions burned: 3 (million) 1.47/0.65 % (862959)------------------------------ 1.47/0.65 % (862959)------------------------------ 1.47/0.65 % (862960)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on E---3.1_862868 for (1797ds/47Mi) 1.47/0.66 % (862957)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on E---3.1_862868 for (1797ds/39Mi) 1.47/0.66 % (862956)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on E---3.1_862868 for (1797ds/149Mi) 1.47/0.66 % (862957)Refutation not found, incomplete strategy 1.47/0.66 % (862957)------------------------------ 1.47/0.66 % (862957)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.47/0.66 % (862957)Termination reason: Refutation not found, incomplete strategy 1.47/0.66 1.47/0.66 1.47/0.66 % (862957)Memory used [KB]: 5500 1.47/0.66 % (862957)Time elapsed: 0.006 s 1.47/0.66 % (862957)Instructions burned: 6 (million) 1.47/0.66 % (862957)------------------------------ 1.47/0.66 % (862957)------------------------------ 1.47/0.67 % (862962)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on E---3.1_862868 for (1797ds/432Mi) 1.47/0.67 % (862961)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on E---3.1_862868 for (1797ds/44Mi) 1.47/0.68 % (862961)Refutation not found, incomplete strategy 1.47/0.68 % (862961)------------------------------ 1.47/0.68 % (862961)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.47/0.68 % (862961)Termination reason: Refutation not found, incomplete strategy 1.47/0.68 1.47/0.68 1.47/0.68 % (862961)Memory used [KB]: 1023 1.47/0.68 % (862961)Time elapsed: 0.004 s 1.47/0.68 % (862961)Instructions burned: 3 (million) 1.47/0.68 % (862961)------------------------------ 1.47/0.68 % (862961)------------------------------ 1.47/0.68 % (862960)Instruction limit reached! 1.47/0.68 % (862960)------------------------------ 1.47/0.68 % (862960)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.47/0.68 % (862960)Termination reason: Unknown 1.47/0.68 % (862960)Termination phase: Saturation 1.47/0.68 1.47/0.68 % (862960)Memory used [KB]: 5628 1.47/0.68 % (862960)Time elapsed: 0.031 s 1.47/0.68 % (862960)Instructions burned: 48 (million) 1.47/0.68 % (862960)------------------------------ 1.47/0.68 % (862960)------------------------------ 1.47/0.68 % (862963)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on E---3.1_862868 for (1797ds/62Mi) 1.47/0.69 % (862964)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on E---3.1_862868 for (1797ds/31Mi) 1.92/0.70 % (862965)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on E---3.1_862868 for (1797ds/96Mi) 1.92/0.71 % (862964)Instruction limit reached! 1.92/0.71 % (862964)------------------------------ 1.92/0.71 % (862964)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.92/0.71 % (862964)Termination reason: Unknown 1.92/0.71 % (862964)Termination phase: Saturation 1.92/0.71 1.92/0.71 % (862964)Memory used [KB]: 5628 1.92/0.71 % (862964)Time elapsed: 0.022 s 1.92/0.71 % (862964)Instructions burned: 31 (million) 1.92/0.71 % (862964)------------------------------ 1.92/0.71 % (862964)------------------------------ 1.92/0.72 % (862956)First to succeed. 1.92/0.72 % (862956)Refutation found. Thanks to Tanya! 1.92/0.72 % SZS status Theorem for E---3.1_862868 1.92/0.72 % SZS output start Proof for E---3.1_862868 1.92/0.72 thf(func_def_0, type, emptyset: $i > $o). 1.92/0.72 thf(func_def_1, type, union: ($i > $o) > ($i > $o) > $i > $o). 1.92/0.72 thf(func_def_3, type, singleton: $i > $i > $o). 1.92/0.72 thf(func_def_5, type, sup: ($i > $o) > $i). 1.92/0.72 thf(func_def_6, type, supset: (($i > $o) > $o) > $i > $o). 1.92/0.72 thf(func_def_7, type, unionset: (($i > $o) > $o) > $i > $o). 1.92/0.72 thf(func_def_8, type, addition: $i > $i > $i). 1.92/0.72 thf(func_def_9, type, leq: $i > $i > $o). 1.92/0.72 thf(func_def_10, type, multiplication: $i > $i > $i). 1.92/0.72 thf(func_def_11, type, crossmult: ($i > $o) > ($i > $o) > $i > $o). 1.92/0.72 thf(func_def_26, type, sF1: $i > $o). 1.92/0.72 thf(func_def_28, type, sF3: $i > $i). 1.92/0.72 thf(func_def_31, type, ph6: !>[X0: $tType]:(X0)). 1.92/0.72 thf(func_def_32, type, sK7: $i > $i). 1.92/0.72 thf(func_def_33, type, sK8: $i > $i > $i). 1.92/0.72 thf(func_def_34, type, sK9: $i > $i > $i). 1.92/0.72 thf(func_def_35, type, sK10: $i > $i). 1.92/0.72 thf(func_def_36, type, sK11: $i > $i). 1.92/0.72 thf(func_def_37, type, sK12: $i > $i > $i > $i). 1.92/0.72 thf(func_def_38, type, sK13: ($i > $o) > ($i > $o) > $i). 1.92/0.72 thf(func_def_39, type, sK14: ($i > $o) > ($i > $o) > $i). 1.92/0.72 thf(func_def_40, type, sK15: ($i > $o) > ($i > $o) > $i). 1.92/0.72 thf(func_def_41, type, sK16: ($i > $o) > ($i > $o) > $i > $i). 1.92/0.72 thf(func_def_42, type, sK17: ($i > $o) > ($i > $o) > $i > $i). 1.92/0.72 thf(func_def_43, type, sK18: ($i > $o) > ($i > $o) > $i > $i). 1.92/0.72 thf(func_def_44, type, sK19: ($i > $o) > ($i > $o) > ($i > $o) > $i). 1.92/0.72 thf(func_def_45, type, sK20: ($i > $o) > ($i > $o) > ($i > $o) > $i). 1.92/0.72 thf(func_def_46, type, sK21: ($i > $o) > (($i > $o) > $o) > $i > $o). 1.92/0.72 thf(func_def_47, type, sK22: (($i > $o) > $o) > $i). 1.92/0.72 thf(func_def_48, type, sK23: (($i > $o) > $o) > $i > $o). 1.92/0.72 thf(func_def_49, type, sK24: $i > (($i > $o) > $o) > $i). 1.92/0.72 thf(func_def_50, type, sK25: $i > (($i > $o) > $o) > $i > $o). 1.92/0.72 thf(func_def_51, type, sK26: $i > ($i > $o) > ($i > $o) > $i > $i). 1.92/0.72 thf(func_def_52, type, sK27: ($i > $o) > $i > $i > ($i > $o) > $i). 1.92/0.72 thf(func_def_53, type, sK28: ($i > $o) > $i > ($i > $o) > $i > $i). 1.92/0.72 thf(func_def_54, type, sK29: ($i > $o) > ($i > $o) > ($i > $o) > $i). 1.92/0.72 thf(func_def_55, type, sK30: ($i > $o) > ($i > $o) > ($i > $o) > $i). 1.92/0.72 thf(func_def_56, type, sK31: ($i > $o) > (($i > $o) > $o) > $i > $o). 1.92/0.72 thf(func_def_57, type, sK32: $i > (($i > $o) > $o) > $i > $i). 1.92/0.72 thf(func_def_58, type, sK33: $i > (($i > $o) > $o) > $i > $i > $o). 1.92/0.72 thf(f440,plain,( 1.92/0.72 $false), 1.92/0.72 inference(subsumption_resolution,[status(thm)],[f439,f66])). 1.92/0.72 thf(f66,plain,( 1.92/0.72 (sF2 != sF4)), 1.92/0.72 inference(definition_folding,[status(thm)],[f61,f65,f64,f63,f62,f63,f62])). 1.92/0.72 thf(f62,definition,( 1.92/0.72 ((^[Y0 : $i]: ($false)) = sF1)), 1.92/0.72 introduced(definition,[],[function_definition])). 1.92/0.72 thf(f63,definition,( 1.92/0.72 ((sup @ sF1) = sF2)), 1.92/0.72 introduced(definition,[],[function_definition])). 1.92/0.72 thf(f64,definition,( 1.92/0.72 (sF3 = (multiplication @ sF2))), 1.92/0.72 introduced(definition,[],[function_definition])). 1.92/0.72 thf(f65,definition,( 1.92/0.72 ((sF3 @ sK0) = sF4)), 1.92/0.72 introduced(definition,[],[function_definition])). 1.92/0.72 thf(f61,plain,( 1.92/0.72 ((sup @ (^[Y0 : $i]: ($false))) != (multiplication @ (sup @ (^[Y0 : $i]: ($false))) @ sK0))), 1.92/0.72 inference(definition_unfolding,[status(thm)],[f52,f54,f54])). 1.92/0.72 thf(f54,plain,( 1.92/0.72 (zero = (sup @ (^[Y0 : $i]: ($false))))), 1.92/0.72 inference(definition_unfolding,[status(thm)],[f48,f50])). 1.92/0.72 thf(f50,plain,( 1.92/0.72 (emptyset = (^[Y0 : $i]: ($false)))), 1.92/0.72 inference(cnf_transformation,[status(thm)],[f18])). 1.92/0.72 thf(f18,plain,( 1.92/0.72 (emptyset = (^[Y0 : $i]: ($false)))), 1.92/0.72 inference(fool_elimination,[status(thm)],[f1])). 1.92/0.72 thf(f1,axiom,( 1.92/0.72 (emptyset = (^[X0 : $i] : ($false)))), 1.92/0.72 file('/export/starexec/sandbox2/tmp/tmp.s6h57tX3N2/E---3.1_862868.p',emptyset_def)). 1.92/0.72 thf(f48,plain,( 1.92/0.72 ((sup @ emptyset) = zero)), 1.92/0.72 inference(cnf_transformation,[status(thm)],[f10])). 1.92/0.72 thf(f10,axiom,( 1.92/0.72 ((sup @ emptyset) = zero)), 1.92/0.72 file('/export/starexec/sandbox2/tmp/tmp.s6h57tX3N2/E---3.1_862868.p',sup_es)). 1.92/0.72 thf(f52,plain,( 1.92/0.72 (zero != (multiplication @ zero @ sK0))), 1.92/0.72 inference(cnf_transformation,[status(thm)],[f37])). 1.92/0.72 thf(f37,plain,( 1.92/0.72 (zero != (multiplication @ zero @ sK0))), 1.92/0.72 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f34,f36])). 1.92/0.72 thf(f36,plain,( 1.92/0.72 ? [X0 : $i] : (zero != (multiplication @ zero @ X0)) => (zero != (multiplication @ zero @ sK0))), 1.92/0.72 introduced(definition,[],[choice_axiom])). 1.92/0.72 thf(f34,plain,( 1.92/0.72 ? [X0 : $i] : (zero != (multiplication @ zero @ X0))), 1.92/0.72 inference(ennf_transformation,[status(thm)],[f33])). 1.92/0.72 thf(f33,plain,( 1.92/0.72 ~! [X0 : $i] : (zero = (multiplication @ zero @ X0))), 1.92/0.72 inference(rectify,[status(thm)],[f16])). 1.92/0.72 thf(f16,negated_conjecture,( 1.92/0.72 ~! [X5 : $i] : (zero = (multiplication @ zero @ X5))), 1.92/0.72 inference(negated_conjecture,[status(cth)],[f15])). 1.92/0.72 thf(f15,conjecture,( 1.92/0.72 ! [X5 : $i] : (zero = (multiplication @ zero @ X5))), 1.92/0.72 file('/export/starexec/sandbox2/tmp/tmp.s6h57tX3N2/E---3.1_862868.p',multiplication_anni)). 1.92/0.72 thf(f439,plain,( 1.92/0.72 (sF2 = sF4)), 1.92/0.72 inference(backward_demodulation,[status(thm)],[f65,f438])). 1.92/0.72 thf(f438,plain,( 1.92/0.72 ( ! [X1 : $i] : (((sF3 @ X1) = sF2)) )), 1.92/0.72 inference(backward_demodulation,[status(thm)],[f74,f434])). 1.92/0.72 thf(f434,plain,( 1.92/0.72 ( ! [X0 : $i] : (((multiplication @ sF2 @ X0) = sF2)) )), 1.92/0.72 inference(superposition,[status(thm)],[f403,f71])). 1.92/0.72 thf(f71,plain,( 1.92/0.72 ( ! [X0 : $i] : (((sup @ (= @ X0)) = X0)) )), 1.92/0.72 inference(beta_eta_normalization,[status(thm)],[f58])). 1.92/0.72 thf(f58,plain,( 1.92/0.72 ( ! [X0 : $i] : (((sup @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ X0)) = X0)) )), 1.92/0.72 inference(definition_unfolding,[status(thm)],[f40,f47])). 1.92/0.72 thf(f47,plain,( 1.92/0.72 (singleton = (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))))), 1.92/0.72 inference(cnf_transformation,[status(thm)],[f27])). 1.92/0.72 thf(f27,plain,( 1.92/0.72 (singleton = (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))))), 1.92/0.72 inference(fool_elimination,[status(thm)],[f26])). 1.92/0.72 thf(f26,plain,( 1.92/0.72 ((^[X0 : $i, X1 : $i] : ((X0 = X1))) = singleton)), 1.92/0.72 inference(rectify,[status(thm)],[f3])). 1.92/0.72 thf(f3,axiom,( 1.92/0.72 ((^[X0 : $i, X2 : $i] : ((X0 = X2))) = singleton)), 1.92/0.72 file('/export/starexec/sandbox2/tmp/tmp.s6h57tX3N2/E---3.1_862868.p',singleton_def)). 1.92/0.72 thf(f40,plain,( 1.92/0.72 ( ! [X0 : $i] : (((sup @ (singleton @ X0)) = X0)) )), 1.92/0.72 inference(cnf_transformation,[status(thm)],[f8])). 1.92/0.72 thf(f8,axiom,( 1.92/0.72 ! [X0 : $i] : ((sup @ (singleton @ X0)) = X0)), 1.92/0.72 file('/export/starexec/sandbox2/tmp/tmp.s6h57tX3N2/E---3.1_862868.p',sup_singleset)). 1.92/0.72 thf(f403,plain,( 1.92/0.72 ( ! [X0 : $i > $o] : (((multiplication @ sF2 @ (sup @ X0)) = sF2)) )), 1.92/0.72 inference(trivial_inequality_removal,[status(thm)],[f402])). 1.92/0.72 thf(f402,plain,( 1.92/0.72 ( ! [X0 : $i > $o] : (($true = $false) | ((multiplication @ sF2 @ (sup @ X0)) = sF2)) )), 1.92/0.72 inference(forward_demodulation,[status(thm)],[f384,f73])). 1.92/0.72 thf(f73,plain,( 1.92/0.72 ( ! [X1 : $i] : (((sF1 @ X1) = $false)) )), 1.92/0.72 inference(beta_eta_normalization,[status(thm)],[f72])). 1.92/0.72 thf(f72,plain,( 1.92/0.72 ( ! [X1 : $i] : (((sF1 @ X1) = ((^[Y0 : $i]: ($false)) @ X1))) )), 1.92/0.72 inference(argument_congruence,[status(thm)],[f62])). 1.92/0.72 thf(f384,plain,( 1.92/0.72 ( ! [X0 : $i > $o] : (((sF1 @ (sK14 @ X0 @ sF1)) = $true) | ((multiplication @ sF2 @ (sup @ X0)) = sF2)) )), 1.92/0.72 inference(superposition,[status(thm)],[f216,f63])). 1.92/0.72 thf(f216,plain,( 1.92/0.72 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X0) @ (sup @ X1)) = sF2) | ((X0 @ (sK14 @ X1 @ X0)) = $true)) )), 1.92/0.72 inference(trivial_inequality_removal,[status(thm)],[f215])). 1.92/0.72 thf(f215,plain,( 1.92/0.72 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X0) @ (sup @ X1)) = sF2) | ((X0 @ (sK14 @ X1 @ X0)) = $true) | ($true = $false)) )), 1.92/0.72 inference(forward_demodulation,[status(thm)],[f207,f73])). 1.92/0.72 thf(f207,plain,( 1.92/0.72 ( ! [X0 : $i > $o,X1 : $i > $o] : (((X0 @ (sK14 @ X1 @ X0)) = $true) | ($true = (sF1 @ (sK13 @ X1 @ X0))) | ((multiplication @ (sup @ X0) @ (sup @ X1)) = sF2)) )), 1.92/0.72 inference(binary_proxy_clausification,[status(thm)],[f205])). 1.92/0.72 thf(f205,plain,( 1.92/0.72 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true = ((X0 @ (sK14 @ X1 @ X0)) & ((multiplication @ (sK14 @ X1 @ X0) @ (sK15 @ X1 @ X0)) = (sK13 @ X1 @ X0)))) | ($true = (sF1 @ (sK13 @ X1 @ X0))) | ((multiplication @ (sup @ X0) @ (sup @ X1)) = sF2)) )), 1.92/0.72 inference(binary_proxy_clausification,[status(thm)],[f203])). 1.92/0.72 thf(f203,plain,( 1.92/0.72 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true = (((X0 @ (sK14 @ X1 @ X0)) & ((multiplication @ (sK14 @ X1 @ X0) @ (sK15 @ X1 @ X0)) = (sK13 @ X1 @ X0))) & (X1 @ (sK15 @ X1 @ X0)))) | ((multiplication @ (sup @ X0) @ (sup @ X1)) = sF2) | ($true = (sF1 @ (sK13 @ X1 @ X0)))) )), 1.92/0.72 inference(beta_eta_normalization,[status(thm)],[f202])). 1.92/0.72 thf(f202,plain,( 1.92/0.72 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X0) @ (sup @ X1)) = sF2) | (((^[Y0 : $i]: (((X0 @ (sK14 @ X1 @ X0)) & ((multiplication @ (sK14 @ X1 @ X0) @ Y0) = (sK13 @ X1 @ X0))) & (X1 @ Y0))) @ (sK15 @ X1 @ X0)) = $true) | ($true = (sF1 @ (sK13 @ X1 @ X0)))) )), 1.92/0.72 inference(sigma_clausification,[status(thm)],[f201])). 1.92/0.72 thf(f201,plain,( 1.92/0.72 ( ! [X0 : $i > $o,X1 : $i > $o] : (((?? @ $i @ (^[Y0 : $i]: (((X0 @ (sK14 @ X1 @ X0)) & ((multiplication @ (sK14 @ X1 @ X0) @ Y0) = (sK13 @ X1 @ X0))) & (X1 @ Y0)))) = $true) | ($true = (sF1 @ (sK13 @ X1 @ X0))) | ((multiplication @ (sup @ X0) @ (sup @ X1)) = sF2)) )), 1.92/0.72 inference(beta_eta_normalization,[status(thm)],[f200])). 1.92/0.72 thf(f200,plain,( 1.92/0.72 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X0) @ (sup @ X1)) = sF2) | (((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (((X0 @ Y0) & ((multiplication @ Y0 @ Y1) = (sK13 @ X1 @ X0))) & (X1 @ Y1))))) @ (sK14 @ X1 @ X0)) = $true) | ($true = (sF1 @ (sK13 @ X1 @ X0)))) )), 1.92/0.72 inference(sigma_clausification,[status(thm)],[f191])). 1.92/0.72 thf(f191,plain,( 1.92/0.72 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true = (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (((X0 @ Y0) & ((multiplication @ Y0 @ Y1) = (sK13 @ X1 @ X0))) & (X1 @ Y1))))))) | ($true = (sF1 @ (sK13 @ X1 @ X0))) | ((multiplication @ (sup @ X0) @ (sup @ X1)) = sF2)) )), 1.92/0.72 inference(binary_proxy_clausification,[status(thm)],[f190])). 1.92/0.72 thf(f190,plain,( 1.92/0.72 ( ! [X0 : $i > $o,X1 : $i > $o] : (((sF1 @ (sK13 @ X1 @ X0)) != (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (((X0 @ Y0) & ((multiplication @ Y0 @ Y1) = (sK13 @ X1 @ X0))) & (X1 @ Y1))))))) | ((multiplication @ (sup @ X0) @ (sup @ X1)) = sF2)) )), 1.92/0.72 inference(beta_eta_normalization,[status(thm)],[f188])). 1.92/0.72 thf(f188,plain,( 1.92/0.72 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X0) @ (sup @ X1)) = sF2) | ((sF1 @ (sK13 @ X1 @ X0)) != ((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (((X0 @ Y1) & ((multiplication @ Y1 @ Y2) = Y0)) & (X1 @ Y2))))))) @ (sK13 @ X1 @ X0)))) )), 1.92/0.72 inference(negative_extensionality,[status(thm)],[f102])). 1.92/0.72 thf(f102,plain,( 1.92/0.72 ( ! [X0 : $i > $o,X1 : $i > $o] : ((sF1 != (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (((X0 @ Y1) & ((multiplication @ Y1 @ Y2) = Y0)) & (X1 @ Y2)))))))) | ((multiplication @ (sup @ X0) @ (sup @ X1)) = sF2)) )), 1.92/0.72 inference(constrained_superposition,[status(thm)],[f70,f63])). 1.92/0.72 thf(f70,plain,( 1.92/0.72 ( ! [X0 : $i > $o,X1 : $i > $o] : (((sup @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (((X1 @ Y1) & ((multiplication @ Y1 @ Y2) = Y0)) & (X0 @ Y2)))))))) = (multiplication @ (sup @ X1) @ (sup @ X0)))) )), 1.92/0.72 inference(beta_eta_normalization,[status(thm)],[f56])). 1.92/0.72 thf(f56,plain,( 1.92/0.72 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X1) @ (sup @ X0)) = (sup @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: (((Y0 @ Y3) & ((multiplication @ Y3 @ Y4) = Y2)) & (Y1 @ Y4))))))))))) @ X1 @ X0)))) )), 1.92/0.72 inference(definition_unfolding,[status(thm)],[f38,f42])). 1.92/0.72 thf(f42,plain,( 1.92/0.72 (crossmult = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: (((Y0 @ Y3) & ((multiplication @ Y3 @ Y4) = Y2)) & (Y1 @ Y4))))))))))))), 1.92/0.72 inference(cnf_transformation,[status(thm)],[f31])). 1.92/0.72 thf(f31,plain,( 1.92/0.72 (crossmult = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: (((Y0 @ Y3) & ((multiplication @ Y3 @ Y4) = Y2)) & (Y1 @ Y4))))))))))))), 1.92/0.72 inference(fool_elimination,[status(thm)],[f30])). 1.92/0.72 thf(f30,plain,( 1.92/0.72 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : (? [X3 : $i,X4 : $i] : ((X1 @ X3) & ((multiplication @ X4 @ X3) = X2) & (X0 @ X4)))) = crossmult)), 1.92/0.72 inference(rectify,[status(thm)],[f7])). 1.92/0.72 thf(f7,axiom,( 1.92/0.72 ((^[X0 : $i > $o, X1 : $i > $o, X4 : $i] : (? [X6 : $i,X5 : $i] : ((X1 @ X6) & ((multiplication @ X5 @ X6) = X4) & (X0 @ X5)))) = crossmult)), 1.92/0.72 file('/export/starexec/sandbox2/tmp/tmp.s6h57tX3N2/E---3.1_862868.p',crossmult_def)). 1.92/0.72 thf(f38,plain,( 1.92/0.72 ( ! [X0 : $i > $o,X1 : $i > $o] : (((sup @ (crossmult @ X1 @ X0)) = (multiplication @ (sup @ X1) @ (sup @ X0)))) )), 1.92/0.72 inference(cnf_transformation,[status(thm)],[f32])). 1.92/0.72 thf(f32,plain,( 1.92/0.72 ! [X0 : $i > $o,X1 : $i > $o] : ((sup @ (crossmult @ X1 @ X0)) = (multiplication @ (sup @ X1) @ (sup @ X0)))), 1.92/0.72 inference(rectify,[status(thm)],[f11])). 1.92/0.72 thf(f11,axiom,( 1.92/0.72 ! [X1 : $i > $o,X0 : $i > $o] : ((multiplication @ (sup @ X0) @ (sup @ X1)) = (sup @ (crossmult @ X0 @ X1)))), 1.92/0.72 file('/export/starexec/sandbox2/tmp/tmp.s6h57tX3N2/E---3.1_862868.p',multiplication_def)). 1.92/0.72 thf(f74,plain,( 1.92/0.72 ( ! [X1 : $i] : (((multiplication @ sF2 @ X1) = (sF3 @ X1))) )), 1.92/0.72 inference(argument_congruence,[status(thm)],[f64])). 1.92/0.72 % SZS output end Proof for E---3.1_862868 1.92/0.72 % (862956)------------------------------ 1.92/0.72 % (862956)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.92/0.72 % (862956)Termination reason: Refutation 1.92/0.72 1.92/0.72 % (862956)Memory used [KB]: 5884 1.92/0.72 % (862956)Time elapsed: 0.086 s 1.92/0.72 % (862956)Instructions burned: 97 (million) 1.92/0.72 % (862956)------------------------------ 1.92/0.72 % (862956)------------------------------ 1.92/0.72 % (862911)Success in time 0.293 s 1.92/0.72 EOF