0.03/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_vampire %s %d THM 0.13/0.34 % Computer : n004.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1920 0.13/0.34 % WCLimit : 240 0.13/0.34 % DateTime : Wed Jul 30 09:13:49 EDT 2025 0.13/0.34 % CPUTime : 0.13/0.36 This is a THF_ problem 0.13/0.36 Running higher-order theorem proving 0.22/0.37 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.gPbwQGUeFX/E---3.1_5183.p -m 16384 -t 240 0.22/0.39 % (5426)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_5183 for (2399ds/4Mi) 0.22/0.39 % (5425)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_5183 for (2399ds/183Mi) 0.22/0.39 % (5427)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_5183 for (2399ds/27Mi) 0.22/0.39 % (5429)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_5183 for (2399ds/2Mi) 0.22/0.39 % (5428)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_5183 for (2399ds/2Mi) 0.22/0.39 % (5430)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_5183 for (2399ds/275Mi) 0.22/0.39 % (5431)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_5183 for (2399ds/18Mi) 0.22/0.39 % (5428)Instruction limit reached! 0.22/0.39 % (5428)------------------------------ 0.22/0.39 % (5428)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.39 % (5428)Termination reason: Unknown 0.22/0.39 % (5428)Termination phase: Saturation 0.22/0.39 0.22/0.39 % (5428)Memory used [KB]: 1023 0.22/0.39 % (5428)Time elapsed: 0.004 s 0.22/0.39 % (5428)Instructions burned: 2 (million) 0.22/0.39 % (5428)------------------------------ 0.22/0.39 % (5428)------------------------------ 0.22/0.39 % (5429)Instruction limit reached! 0.22/0.39 % (5429)------------------------------ 0.22/0.39 % (5429)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.39 % (5429)Termination reason: Unknown 0.22/0.39 % (5429)Termination phase: Saturation 0.22/0.39 0.22/0.39 % (5429)Memory used [KB]: 1023 0.22/0.39 % (5429)Time elapsed: 0.004 s 0.22/0.39 % (5429)Instructions burned: 2 (million) 0.22/0.39 % (5429)------------------------------ 0.22/0.39 % (5429)------------------------------ 0.22/0.39 % (5426)Instruction limit reached! 0.22/0.39 % (5426)------------------------------ 0.22/0.39 % (5426)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.39 % (5426)Termination reason: Unknown 0.22/0.39 % (5426)Termination phase: Saturation 0.22/0.39 0.22/0.39 % (5426)Memory used [KB]: 5500 0.22/0.39 % (5426)Time elapsed: 0.006 s 0.22/0.39 % (5426)Instructions burned: 4 (million) 0.22/0.39 % (5426)------------------------------ 0.22/0.39 % (5426)------------------------------ 0.22/0.40 % (5427)Refutation not found, incomplete strategy 0.22/0.40 % (5427)------------------------------ 0.22/0.40 % (5427)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.40 % (5427)Termination reason: Refutation not found, incomplete strategy 0.22/0.40 0.22/0.40 0.22/0.40 % (5427)Memory used [KB]: 5628 0.22/0.40 % (5427)Time elapsed: 0.011 s 0.22/0.40 % (5427)Instructions burned: 11 (million) 0.22/0.40 % (5427)------------------------------ 0.22/0.40 % (5427)------------------------------ 0.22/0.40 % (5431)Instruction limit reached! 0.22/0.40 % (5431)------------------------------ 0.22/0.40 % (5431)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.40 % (5431)Termination reason: Unknown 0.22/0.40 % (5431)Termination phase: Saturation 0.22/0.40 0.22/0.40 % (5431)Memory used [KB]: 5628 0.22/0.40 % (5431)Time elapsed: 0.016 s 0.22/0.40 % (5431)Instructions burned: 18 (million) 0.22/0.40 % (5431)------------------------------ 0.22/0.40 % (5431)------------------------------ 0.22/0.40 % (5432)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_5183 for (2399ds/3Mi) 0.22/0.40 % (5433)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_5183 for (2399ds/37Mi) 0.22/0.41 % (5434)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_5183 for (2399ds/15Mi) 0.22/0.41 % (5432)Instruction limit reached! 0.22/0.41 % (5432)------------------------------ 0.22/0.41 % (5432)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.41 % (5432)Termination reason: Unknown 0.22/0.41 % (5432)Termination phase: Saturation 0.22/0.41 0.22/0.41 % (5432)Memory used [KB]: 5500 0.22/0.41 % (5432)Time elapsed: 0.005 s 0.22/0.41 % (5432)Instructions burned: 3 (million) 0.22/0.41 % (5432)------------------------------ 0.22/0.41 % (5432)------------------------------ 0.22/0.41 % (5435)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_5183 for (2399ds/3Mi) 0.22/0.42 % (5435)Instruction limit reached! 0.22/0.42 % (5435)------------------------------ 0.22/0.42 % (5435)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.42 % (5435)Termination reason: Unknown 0.22/0.42 % (5435)Termination phase: Saturation 0.22/0.42 0.22/0.42 % (5435)Memory used [KB]: 5500 0.22/0.42 % (5435)Time elapsed: 0.005 s 0.22/0.42 % (5435)Instructions burned: 3 (million) 0.22/0.42 % (5435)------------------------------ 0.22/0.42 % (5435)------------------------------ 0.22/0.42 % (5436)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_5183 for (2399ds/1041Mi) 0.22/0.42 % (5434)Instruction limit reached! 0.22/0.42 % (5434)------------------------------ 0.22/0.42 % (5434)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.42 % (5434)Termination reason: Unknown 0.22/0.42 % (5434)Termination phase: Saturation 0.22/0.42 0.22/0.42 % (5434)Memory used [KB]: 5628 0.22/0.42 % (5434)Time elapsed: 0.014 s 0.22/0.42 % (5434)Instructions burned: 15 (million) 0.22/0.42 % (5434)------------------------------ 0.22/0.42 % (5434)------------------------------ 0.22/0.42 % (5437)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_5183 for (2399ds/7Mi) 0.22/0.43 % (5433)Instruction limit reached! 0.22/0.43 % (5433)------------------------------ 0.22/0.43 % (5433)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.43 % (5433)Termination reason: Unknown 0.22/0.43 % (5433)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (5433)Memory used [KB]: 6012 0.22/0.43 % (5433)Time elapsed: 0.024 s 0.22/0.43 % (5433)Instructions burned: 38 (million) 0.22/0.43 % (5433)------------------------------ 0.22/0.43 % (5433)------------------------------ 0.22/0.43 % (5437)Instruction limit reached! 0.22/0.43 % (5437)------------------------------ 0.22/0.43 % (5437)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.43 % (5437)Termination reason: Unknown 0.22/0.43 % (5437)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (5437)Memory used [KB]: 1023 0.22/0.43 % (5437)Time elapsed: 0.007 s 0.22/0.43 % (5437)Instructions burned: 7 (million) 0.22/0.43 % (5437)------------------------------ 0.22/0.43 % (5437)------------------------------ 0.22/0.43 % (5438)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_5183 for (2399ds/16Mi) 0.22/0.43 % (5439)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_5183 for (2399ds/3Mi) 0.22/0.44 % (5439)Instruction limit reached! 0.22/0.44 % (5439)------------------------------ 0.22/0.44 % (5439)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.44 % (5439)Termination reason: Unknown 0.22/0.44 % (5439)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (5439)Memory used [KB]: 1023 0.22/0.44 % (5439)Time elapsed: 0.004 s 0.22/0.44 % (5439)Instructions burned: 3 (million) 0.22/0.44 % (5439)------------------------------ 0.22/0.44 % (5439)------------------------------ 0.22/0.44 % (5438)Instruction limit reached! 0.22/0.44 % (5438)------------------------------ 0.22/0.44 % (5438)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.44 % (5438)Termination reason: Unknown 0.22/0.44 % (5438)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (5438)Memory used [KB]: 5628 0.22/0.44 % (5438)Time elapsed: 0.014 s 0.22/0.44 % (5438)Instructions burned: 16 (million) 0.22/0.44 % (5438)------------------------------ 0.22/0.44 % (5438)------------------------------ 0.22/0.44 % (5440)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_5183 for (2399ds/3Mi) 0.23/0.44 % (5441)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_5183 for (2399ds/7Mi) 0.23/0.45 % (5440)Instruction limit reached! 0.23/0.45 % (5440)------------------------------ 0.23/0.45 % (5440)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.45 % (5440)Termination reason: Unknown 0.23/0.45 % (5440)Termination phase: Saturation 0.23/0.45 0.23/0.45 % (5440)Memory used [KB]: 1023 0.23/0.45 % (5440)Time elapsed: 0.004 s 0.23/0.45 % (5440)Instructions burned: 3 (million) 0.23/0.45 % (5440)------------------------------ 0.23/0.45 % (5440)------------------------------ 0.23/0.45 % (5441)Refutation not found, incomplete strategy 0.23/0.45 % (5441)------------------------------ 0.23/0.45 % (5441)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.45 % (5441)Termination reason: Refutation not found, incomplete strategy 0.23/0.45 0.23/0.45 0.23/0.45 % (5441)Memory used [KB]: 5500 0.23/0.45 % (5441)Time elapsed: 0.005 s 0.23/0.45 % (5441)Instructions burned: 3 (million) 0.23/0.45 % (5441)------------------------------ 0.23/0.45 % (5441)------------------------------ 0.23/0.45 % (5442)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_5183 for (2399ds/3Mi) 0.23/0.45 % (5442)Instruction limit reached! 0.23/0.45 % (5442)------------------------------ 0.23/0.45 % (5442)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.45 % (5442)Termination reason: Unknown 0.23/0.45 % (5442)Termination phase: Saturation 0.23/0.45 0.23/0.45 % (5442)Memory used [KB]: 5500 0.23/0.45 % (5442)Time elapsed: 0.004 s 0.23/0.45 % (5442)Instructions burned: 3 (million) 0.23/0.45 % (5442)------------------------------ 0.23/0.45 % (5442)------------------------------ 0.23/0.46 % (5445)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_5183 for (2399ds/4Mi) 0.23/0.46 % (5447)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_5183 for (2399ds/18Mi) 0.23/0.46 % (5445)Instruction limit reached! 0.23/0.46 % (5445)------------------------------ 0.23/0.46 % (5445)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.46 % (5445)Termination reason: Unknown 0.23/0.46 % (5445)Termination phase: Saturation 0.23/0.46 0.23/0.46 % (5445)Memory used [KB]: 5500 0.23/0.46 % (5445)Time elapsed: 0.006 s 0.23/0.46 % (5445)Instructions burned: 5 (million) 0.23/0.46 % (5445)------------------------------ 0.23/0.46 % (5445)------------------------------ 0.23/0.46 % (5449)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_5183 for (2399ds/710Mi) 0.23/0.47 % (5453)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_5183 for (2399ds/6Mi) 0.23/0.47 % (5453)Instruction limit reached! 0.23/0.47 % (5453)------------------------------ 0.23/0.47 % (5453)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.47 % (5453)Termination reason: Unknown 0.23/0.47 % (5453)Termination phase: Saturation 0.23/0.47 0.23/0.47 % (5453)Memory used [KB]: 5628 0.23/0.47 % (5453)Time elapsed: 0.007 s 0.23/0.47 % (5453)Instructions burned: 6 (million) 0.23/0.47 % (5453)------------------------------ 0.23/0.47 % (5453)------------------------------ 0.23/0.47 % (5447)Instruction limit reached! 0.23/0.47 % (5447)------------------------------ 0.23/0.47 % (5447)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.47 % (5447)Termination reason: Unknown 0.23/0.47 % (5447)Termination phase: Saturation 0.23/0.47 0.23/0.47 % (5447)Memory used [KB]: 5628 0.23/0.47 % (5447)Time elapsed: 0.016 s 0.23/0.47 % (5447)Instructions burned: 19 (million) 0.23/0.47 % (5447)------------------------------ 0.23/0.47 % (5447)------------------------------ 0.23/0.48 % (5459)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_5183 for (2399ds/902Mi) 0.23/0.50 % (5465)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_5183 for (2399ds/5Mi) 0.23/0.50 % (5462)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_5183 for (2399ds/21Mi) 0.23/0.50 % (5465)Instruction limit reached! 0.23/0.50 % (5465)------------------------------ 0.23/0.50 % (5465)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.50 % (5465)Termination reason: Unknown 0.23/0.50 % (5465)Termination phase: Saturation 0.23/0.50 0.23/0.50 % (5465)Memory used [KB]: 5500 0.23/0.50 % (5465)Time elapsed: 0.005 s 0.23/0.50 % (5465)Instructions burned: 5 (million) 0.23/0.50 % (5465)------------------------------ 0.23/0.50 % (5465)------------------------------ 0.23/0.51 % (5425)Instruction limit reached! 0.23/0.51 % (5425)------------------------------ 0.23/0.51 % (5425)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.51 % (5425)Termination reason: Unknown 0.23/0.51 % (5425)Termination phase: Saturation 0.23/0.51 0.23/0.51 % (5425)Memory used [KB]: 7291 0.23/0.51 % (5425)Time elapsed: 0.121 s 0.23/0.51 % (5425)Instructions burned: 184 (million) 0.23/0.51 % (5425)------------------------------ 0.23/0.51 % (5425)------------------------------ 0.23/0.51 % (5462)Instruction limit reached! 0.23/0.51 % (5462)------------------------------ 0.23/0.51 % (5462)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.51 % (5462)Termination reason: Unknown 0.23/0.51 % (5462)Termination phase: Saturation 0.23/0.51 0.23/0.51 % (5462)Memory used [KB]: 5756 0.23/0.51 % (5462)Time elapsed: 0.015 s 0.23/0.51 % (5462)Instructions burned: 22 (million) 0.23/0.51 % (5462)------------------------------ 0.23/0.51 % (5462)------------------------------ 0.23/0.52 % (5471)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_5183 for (2398ds/6Mi) 0.23/0.52 % (5476)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_5183 for (2398ds/377Mi) 0.23/0.52 % (5471)Instruction limit reached! 0.23/0.52 % (5471)------------------------------ 0.23/0.52 % (5471)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.23/0.52 % (5471)Termination reason: Unknown 0.23/0.52 % (5471)Termination phase: Saturation 0.23/0.52 0.23/0.52 % (5471)Memory used [KB]: 5500 0.23/0.52 % (5471)Time elapsed: 0.005 s 0.23/0.52 % (5471)Instructions burned: 6 (million) 0.23/0.52 % (5471)------------------------------ 0.23/0.52 % (5471)------------------------------ 0.23/0.52 % (5478)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_5183 for (2398ds/779Mi) 0.23/0.55 % (5479)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_5183 for (2398ds/19Mi) 1.36/0.55 % (5430)Instruction limit reached! 1.36/0.55 % (5430)------------------------------ 1.36/0.55 % (5430)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.36/0.55 % (5430)Termination reason: Unknown 1.36/0.55 % (5430)Termination phase: Saturation 1.36/0.55 1.36/0.55 % (5430)Memory used [KB]: 6140 1.36/0.55 % (5430)Time elapsed: 0.166 s 1.36/0.55 % (5430)Instructions burned: 275 (million) 1.36/0.55 % (5430)------------------------------ 1.36/0.55 % (5430)------------------------------ 1.50/0.57 % (5479)Instruction limit reached! 1.50/0.57 % (5479)------------------------------ 1.50/0.57 % (5479)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.50/0.57 % (5479)Termination reason: Unknown 1.50/0.57 % (5479)Termination phase: Saturation 1.50/0.57 1.50/0.57 % (5479)Memory used [KB]: 5628 1.50/0.57 % (5479)Time elapsed: 0.023 s 1.50/0.57 % (5479)Instructions burned: 19 (million) 1.50/0.57 % (5479)------------------------------ 1.50/0.57 % (5479)------------------------------ 1.50/0.57 % (5486)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_5183 for (2398ds/879Mi) 1.50/0.57 % (5486)Refutation not found, incomplete strategy 1.50/0.57 % (5486)------------------------------ 1.50/0.57 % (5486)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.50/0.57 % (5486)Termination reason: Refutation not found, incomplete strategy 1.50/0.57 1.50/0.57 1.50/0.57 % (5486)Memory used [KB]: 5628 1.50/0.57 % (5486)Time elapsed: 0.009 s 1.50/0.57 % (5486)Instructions burned: 9 (million) 1.50/0.57 % (5486)------------------------------ 1.50/0.57 % (5486)------------------------------ 1.50/0.59 % (5490)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_5183 for (2398ds/17Mi) 1.50/0.59 % (5493)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_5183 for (2397ds/3Mi) 1.50/0.59 % (5493)Instruction limit reached! 1.50/0.59 % (5493)------------------------------ 1.50/0.59 % (5493)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.50/0.59 % (5493)Termination reason: Unknown 1.50/0.59 % (5493)Termination phase: Saturation 1.50/0.59 1.50/0.59 % (5493)Memory used [KB]: 1023 1.50/0.59 % (5493)Time elapsed: 0.003 s 1.50/0.59 % (5493)Instructions burned: 3 (million) 1.50/0.59 % (5493)------------------------------ 1.50/0.59 % (5493)------------------------------ 1.50/0.60 % (5490)Instruction limit reached! 1.50/0.60 % (5490)------------------------------ 1.50/0.60 % (5490)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.50/0.60 % (5490)Termination reason: Unknown 1.50/0.60 % (5490)Termination phase: Saturation 1.50/0.60 1.50/0.60 % (5490)Memory used [KB]: 5756 1.50/0.60 % (5490)Time elapsed: 0.035 s 1.50/0.60 % (5490)Instructions burned: 17 (million) 1.50/0.60 % (5490)------------------------------ 1.50/0.60 % (5490)------------------------------ 1.50/0.61 % (5495)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_5183 for (2397ds/30Mi) 1.50/0.61 % (5497)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_5183 for (2397ds/127Mi) 1.50/0.63 % (5495)Instruction limit reached! 1.50/0.63 % (5495)------------------------------ 1.50/0.63 % (5495)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.50/0.63 % (5495)Termination reason: Unknown 1.50/0.63 % (5495)Termination phase: Saturation 1.50/0.63 1.50/0.63 % (5495)Memory used [KB]: 5756 1.50/0.63 % (5495)Time elapsed: 0.022 s 1.50/0.63 % (5495)Instructions burned: 31 (million) 1.50/0.63 % (5495)------------------------------ 1.50/0.63 % (5495)------------------------------ 1.96/0.64 % (5502)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_5183 for (2397ds/100Mi) 2.11/0.68 % (5497)Instruction limit reached! 2.11/0.68 % (5497)------------------------------ 2.11/0.68 % (5497)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.11/0.68 % (5497)Termination reason: Unknown 2.11/0.68 % (5497)Termination phase: Saturation 2.11/0.68 2.11/0.68 % (5497)Memory used [KB]: 6140 2.11/0.68 % (5497)Time elapsed: 0.064 s 2.11/0.68 % (5497)Instructions burned: 127 (million) 2.11/0.68 % (5497)------------------------------ 2.11/0.68 % (5497)------------------------------ 2.11/0.69 % (5507)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_5183 for (2396ds/3Mi) 2.11/0.69 % (5507)Instruction limit reached! 2.11/0.69 % (5507)------------------------------ 2.11/0.69 % (5507)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.11/0.69 % (5507)Termination reason: Unknown 2.11/0.69 % (5507)Termination phase: Saturation 2.11/0.69 2.11/0.69 % (5507)Memory used [KB]: 5500 2.11/0.69 % (5507)Time elapsed: 0.004 s 2.11/0.69 % (5507)Instructions burned: 4 (million) 2.11/0.69 % (5507)------------------------------ 2.11/0.69 % (5507)------------------------------ 2.11/0.70 % (5502)Instruction limit reached! 2.11/0.70 % (5502)------------------------------ 2.11/0.70 % (5502)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.11/0.70 % (5502)Termination reason: Unknown 2.11/0.70 % (5502)Termination phase: Saturation 2.11/0.70 2.11/0.70 % (5502)Memory used [KB]: 5884 2.11/0.70 % (5502)Time elapsed: 0.060 s 2.11/0.70 % (5502)Instructions burned: 100 (million) 2.11/0.70 % (5502)------------------------------ 2.11/0.70 % (5502)------------------------------ 2.11/0.72 % (5511)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_5183 for (2396ds/86Mi) 2.11/0.72 % (5510)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_5183 for (2396ds/20Mi) 2.59/0.73 % (5510)Instruction limit reached! 2.59/0.73 % (5510)------------------------------ 2.59/0.73 % (5510)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.59/0.73 % (5510)Termination reason: Unknown 2.59/0.73 % (5510)Termination phase: Saturation 2.59/0.73 2.59/0.73 % (5510)Memory used [KB]: 5628 2.59/0.73 % (5510)Time elapsed: 0.016 s 2.59/0.73 % (5510)Instructions burned: 20 (million) 2.59/0.73 % (5510)------------------------------ 2.59/0.73 % (5510)------------------------------ 2.59/0.74 % (5512)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_5183 for (2396ds/107Mi) 2.59/0.75 % (5476)Instruction limit reached! 2.59/0.75 % (5476)------------------------------ 2.59/0.75 % (5476)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.59/0.75 % (5476)Termination reason: Unknown 2.59/0.75 % (5476)Termination phase: Saturation 2.59/0.75 2.59/0.75 % (5476)Memory used [KB]: 6652 2.59/0.75 % (5476)Time elapsed: 0.248 s 2.59/0.75 % (5476)Instructions burned: 377 (million) 2.59/0.75 % (5476)------------------------------ 2.59/0.75 % (5476)------------------------------ 2.59/0.75 % (5512)First to succeed. 2.59/0.75 % (5512)Refutation found. Thanks to Tanya! 2.59/0.75 % SZS status Theorem for E---3.1_5183 2.59/0.75 % SZS output start Proof for E---3.1_5183 2.59/0.75 thf(type_def_5, type, a: $tType). 2.59/0.75 thf(func_def_0, type, a: $tType). 2.59/0.75 thf(func_def_1, type, cP: (a > $o) > $o). 2.59/0.75 thf(func_def_5, type, sP0: a > $o). 2.59/0.75 thf(func_def_6, type, sP1: (a > $o) > (a > $o) > $o). 2.59/0.75 thf(func_def_7, type, sP2: (a > $o) > $o). 2.59/0.75 thf(func_def_9, type, sK4: a > $o). 2.59/0.75 thf(func_def_10, type, sK5: a > $o). 2.59/0.75 thf(func_def_11, type, sK6: (a > $o) > a). 2.59/0.75 thf(func_def_12, type, sK7: (a > $o) > (a > $o) > a). 2.59/0.75 thf(func_def_13, type, sK8: a > a > $o). 2.59/0.75 thf(func_def_14, type, sK9: (a > $o) > a). 2.59/0.75 thf(func_def_15, type, sK10: a > $o). 2.59/0.75 thf(func_def_17, type, ph12: !>[X0: $tType]:(X0)). 2.59/0.75 thf(func_def_18, type, sK13: a). 2.59/0.75 thf(f176,plain,( 2.59/0.75 $false), 2.59/0.75 inference(avatar_sat_refutation,[],[f56,f61,f68,f73,f78,f83,f96,f102,f174])). 2.59/0.75 thf(f174,plain,( 2.59/0.75 ~spl11_1 | ~spl11_3 | spl11_6 | ~spl11_8), 2.59/0.75 inference(avatar_contradiction_clause,[],[f173])). 2.59/0.75 thf(f173,plain,( 2.59/0.75 $false | (~spl11_1 | ~spl11_3 | spl11_6 | ~spl11_8)), 2.59/0.75 inference(subsumption_resolution,[],[f172,f144])). 2.59/0.75 thf(f144,plain,( 2.59/0.75 ((sK4 @ (sK7 @ sK4 @ sK5)) = $true) | ~spl11_3), 2.59/0.75 inference(trivial_inequality_removal,[],[f143])). 2.59/0.75 thf(f143,plain,( 2.59/0.75 ((sK4 @ (sK7 @ sK4 @ sK5)) = $true) | ($true != $true) | ~spl11_3), 2.59/0.75 inference(superposition,[],[f39,f60])). 2.59/0.75 thf(f60,plain,( 2.59/0.75 ((sP1 @ sK4 @ sK5) = $true) | ~spl11_3), 2.59/0.75 inference(avatar_component_clause,[],[f58])). 2.59/0.75 thf(f58,plain,( 2.59/0.75 spl11_3 <=> ((sP1 @ sK4 @ sK5) = $true)), 2.59/0.75 introduced(avatar_definition,[new_symbols(naming,[spl11_3])])). 2.59/0.75 thf(f39,plain,( 2.59/0.75 ( ! [X0 : a > $o,X1 : a > $o] : (((sP1 @ X1 @ X0) != $true) | ((X1 @ (sK7 @ X1 @ X0)) = $true)) )), 2.59/0.75 inference(cnf_transformation,[],[f24])). 2.59/0.75 thf(f24,plain,( 2.59/0.75 ! [X0 : a > $o,X1 : a > $o] : ((((X0 @ (sK7 @ X1 @ X0)) = $true) & ((X1 @ (sK7 @ X1 @ X0)) = $true)) | ((sP1 @ X1 @ X0) != $true))), 2.59/0.75 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f22,f23])). 2.59/0.75 thf(f23,plain,( 2.59/0.75 ! [X0 : a > $o,X1 : a > $o] : (? [X2 : a] : (((X0 @ X2) = $true) & ($true = (X1 @ X2))) => (((X0 @ (sK7 @ X1 @ X0)) = $true) & ((X1 @ (sK7 @ X1 @ X0)) = $true)))), 2.59/0.75 introduced(choice_axiom,[])). 2.59/0.75 thf(f22,plain,( 2.59/0.75 ! [X0 : a > $o,X1 : a > $o] : (? [X2 : a] : (((X0 @ X2) = $true) & ($true = (X1 @ X2))) | ((sP1 @ X1 @ X0) != $true))), 2.59/0.75 inference(rectify,[],[f21])). 2.59/0.75 thf(f21,plain,( 2.59/0.75 ! [X9 : a > $o,X8 : a > $o] : (? [X10 : a] : (($true = (X9 @ X10)) & ((X8 @ X10) = $true)) | ($true != (sP1 @ X8 @ X9)))), 2.59/0.75 inference(nnf_transformation,[],[f9])). 2.59/0.75 thf(f9,plain,( 2.59/0.75 ! [X9 : a > $o,X8 : a > $o] : (? [X10 : a] : (($true = (X9 @ X10)) & ((X8 @ X10) = $true)) | ~($true = (sP1 @ X8 @ X9)))), 2.59/0.75 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 2.59/0.75 thf(f172,plain,( 2.59/0.75 ((sK4 @ (sK7 @ sK4 @ sK5)) != $true) | (~spl11_1 | ~spl11_3 | spl11_6 | ~spl11_8)), 2.59/0.75 inference(trivial_inequality_removal,[],[f169])). 2.59/0.75 thf(f169,plain,( 2.59/0.75 ($true != $true) | ((sK4 @ (sK7 @ sK4 @ sK5)) != $true) | (~spl11_1 | ~spl11_3 | spl11_6 | ~spl11_8)), 2.59/0.75 inference(superposition,[],[f166,f150])). 2.59/0.75 thf(f150,plain,( 2.59/0.75 ((sK5 @ (sK7 @ sK4 @ sK5)) = $true) | ~spl11_3), 2.59/0.75 inference(trivial_inequality_removal,[],[f149])). 2.59/0.75 thf(f149,plain,( 2.59/0.75 ($true != $true) | ((sK5 @ (sK7 @ sK4 @ sK5)) = $true) | ~spl11_3), 2.59/0.75 inference(superposition,[],[f40,f60])). 2.59/0.75 thf(f40,plain,( 2.59/0.75 ( ! [X0 : a > $o,X1 : a > $o] : (((sP1 @ X1 @ X0) != $true) | ((X0 @ (sK7 @ X1 @ X0)) = $true)) )), 2.59/0.75 inference(cnf_transformation,[],[f24])). 2.59/0.75 thf(f166,plain,( 2.59/0.75 ( ! [X0 : a] : (((sK5 @ X0) != $true) | ((sK4 @ X0) != $true)) ) | (~spl11_1 | spl11_6 | ~spl11_8)), 2.59/0.75 inference(subsumption_resolution,[],[f165,f72])). 2.59/0.75 thf(f72,plain,( 2.59/0.75 (sK5 != sK4) | spl11_6), 2.59/0.75 inference(avatar_component_clause,[],[f70])). 2.59/0.75 thf(f70,plain,( 2.59/0.75 spl11_6 <=> (sK5 = sK4)), 2.59/0.75 introduced(avatar_definition,[new_symbols(naming,[spl11_6])])). 2.59/0.75 thf(f165,plain,( 2.59/0.75 ( ! [X0 : a] : (((sK4 @ X0) != $true) | ((sK5 @ X0) != $true) | (sK5 = sK4)) ) | (~spl11_1 | ~spl11_8)), 2.59/0.75 inference(trivial_inequality_removal,[],[f164])). 2.59/0.75 thf(f164,plain,( 2.59/0.75 ( ! [X0 : a] : (($true != $true) | ((sK4 @ X0) != $true) | ((sK5 @ X0) != $true) | (sK5 = sK4)) ) | (~spl11_1 | ~spl11_8)), 2.59/0.75 inference(superposition,[],[f137,f51])). 2.59/0.75 thf(f51,plain,( 2.59/0.75 ($true = (cP @ sK4)) | ~spl11_1), 2.59/0.75 inference(avatar_component_clause,[],[f49])). 2.59/0.75 thf(f49,plain,( 2.59/0.75 spl11_1 <=> ($true = (cP @ sK4))), 2.59/0.75 introduced(avatar_definition,[new_symbols(naming,[spl11_1])])). 2.59/0.75 thf(f137,plain,( 2.59/0.75 ( ! [X0 : a > $o,X1 : a] : (((cP @ X0) != $true) | (sK5 = X0) | ($true != (sK5 @ X1)) | ($true != (X0 @ X1))) ) | ~spl11_8), 2.59/0.75 inference(trivial_inequality_removal,[],[f135])). 2.59/0.75 thf(f135,plain,( 2.59/0.75 ( ! [X0 : a > $o,X1 : a] : (((cP @ X0) != $true) | ($true != (sK5 @ X1)) | ($true != $true) | ($true != (X0 @ X1)) | (sK5 = X0)) ) | ~spl11_8), 2.59/0.75 inference(superposition,[],[f47,f82])). 2.59/0.75 thf(f82,plain,( 2.59/0.75 ($true = (cP @ sK5)) | ~spl11_8), 2.59/0.75 inference(avatar_component_clause,[],[f80])). 2.59/0.75 thf(f80,plain,( 2.59/0.75 spl11_8 <=> ($true = (cP @ sK5))), 2.59/0.75 introduced(avatar_definition,[new_symbols(naming,[spl11_8])])). 2.59/0.75 thf(f47,plain,( 2.59/0.75 ( ! [X2 : a > $o,X0 : a,X1 : a > $o] : (((cP @ X2) != $true) | ((cP @ X1) != $true) | ((X1 @ X0) != $true) | (X1 = X2) | ((X2 @ X0) != $true)) )), 2.59/0.75 inference(cnf_transformation,[],[f32])). 2.59/0.75 thf(f32,plain,( 2.59/0.75 ! [X0 : a,X1 : a > $o,X2 : a > $o] : (((cP @ X2) != $true) | ((X1 @ X0) != $true) | ((cP @ X1) != $true) | (X1 = X2) | ((X2 @ X0) != $true)) & ! [X3 : a > $o] : (((cP @ X3) != $true) | ((X3 @ (sK9 @ X3)) = $true)) & ! [X5 : a > $o] : ((sP3 = $true) | ((sP2 @ X5) = $true) | (! [X7 : a] : ((sK10 @ X7) != $true) & ((cP @ sK10) = $true)))), 2.59/0.75 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f29,f31,f30])). 2.59/0.75 thf(f30,plain,( 2.59/0.75 ! [X3 : a > $o] : (? [X4 : a] : ((X3 @ X4) = $true) => ((X3 @ (sK9 @ X3)) = $true))), 2.59/0.75 introduced(choice_axiom,[])). 2.59/0.75 thf(f31,plain,( 2.59/0.75 ? [X6 : a > $o] : (! [X7 : a] : ((X6 @ X7) != $true) & ((cP @ X6) = $true)) => (! [X7 : a] : ((sK10 @ X7) != $true) & ((cP @ sK10) = $true))), 2.59/0.75 introduced(choice_axiom,[])). 2.59/0.75 thf(f29,plain,( 2.59/0.75 ! [X0 : a,X1 : a > $o,X2 : a > $o] : (((cP @ X2) != $true) | ((X1 @ X0) != $true) | ((cP @ X1) != $true) | (X1 = X2) | ((X2 @ X0) != $true)) & ! [X3 : a > $o] : (((cP @ X3) != $true) | ? [X4 : a] : ((X3 @ X4) = $true)) & ! [X5 : a > $o] : ((sP3 = $true) | ((sP2 @ X5) = $true) | ? [X6 : a > $o] : (! [X7 : a] : ((X6 @ X7) != $true) & ((cP @ X6) = $true)))), 2.59/0.75 inference(rectify,[],[f12])). 2.59/0.75 thf(f12,plain,( 2.59/0.75 ! [X2 : a,X4 : a > $o,X3 : a > $o] : (((cP @ X3) != $true) | ($true != (X4 @ X2)) | ((cP @ X4) != $true) | (X3 = X4) | ($true != (X3 @ X2))) & ! [X0 : a > $o] : (((cP @ X0) != $true) | ? [X1 : a] : ($true = (X0 @ X1))) & ! [X5 : a > $o] : ((sP3 = $true) | ((sP2 @ X5) = $true) | ? [X11 : a > $o] : (! [X12 : a] : ((X11 @ X12) != $true) & ((cP @ X11) = $true)))), 2.59/0.75 inference(definition_folding,[],[f7,f11,f10,f9,f8])). 2.59/0.75 thf(f8,plain,( 2.59/0.75 ! [X6 : a] : (((sP0 @ X6) = $true) <=> ? [X7 : a > $o] : (((X7 @ X6) = $true) & ((cP @ X7) = $true)))), 2.59/0.75 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 2.59/0.75 thf(f10,plain,( 2.59/0.75 ! [X5 : a > $o] : (? [X6 : a] : (((X5 @ X6) = $true) <~> ((sP0 @ X6) = $true)) | ~((sP2 @ X5) = $true))), 2.59/0.75 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 2.59/0.75 thf(f11,plain,( 2.59/0.75 ? [X8 : a > $o,X9 : a > $o] : (($true = (sP1 @ X8 @ X9)) & ((cP @ X8) = $true) & ((cP @ X9) = $true) & (X8 != X9)) | ~(sP3 = $true)), 2.59/0.75 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 2.59/0.75 thf(f7,plain,( 2.59/0.75 ! [X2 : a,X4 : a > $o,X3 : a > $o] : (((cP @ X3) != $true) | ($true != (X4 @ X2)) | ((cP @ X4) != $true) | (X3 = X4) | ($true != (X3 @ X2))) & ! [X0 : a > $o] : (((cP @ X0) != $true) | ? [X1 : a] : ($true = (X0 @ X1))) & ! [X5 : a > $o] : (? [X8 : a > $o,X9 : a > $o] : (? [X10 : a] : (($true = (X9 @ X10)) & ((X8 @ X10) = $true)) & ((cP @ X8) = $true) & ((cP @ X9) = $true) & (X8 != X9)) | ? [X6 : a] : (((X5 @ X6) = $true) <~> ? [X7 : a > $o] : (((X7 @ X6) = $true) & ((cP @ X7) = $true))) | ? [X11 : a > $o] : (! [X12 : a] : ((X11 @ X12) != $true) & ((cP @ X11) = $true)))), 2.59/0.75 inference(flattening,[],[f6])). 2.59/0.75 thf(f6,plain,( 2.59/0.75 ! [X5 : a > $o] : (? [X11 : a > $o] : (! [X12 : a] : ((X11 @ X12) != $true) & ((cP @ X11) = $true)) | ? [X8 : a > $o,X9 : a > $o] : ((X8 != X9) & (((cP @ X9) = $true) & ((cP @ X8) = $true) & ? [X10 : a] : (($true = (X9 @ X10)) & ((X8 @ X10) = $true)))) | ? [X6 : a] : (((X5 @ X6) = $true) <~> ? [X7 : a > $o] : (((X7 @ X6) = $true) & ((cP @ X7) = $true)))) & (! [X0 : a > $o] : (((cP @ X0) != $true) | ? [X1 : a] : ($true = (X0 @ X1))) & ! [X2 : a,X4 : a > $o,X3 : a > $o] : ((X3 = X4) | (((cP @ X3) != $true) | ($true != (X4 @ X2)) | ((cP @ X4) != $true) | ($true != (X3 @ X2)))))), 2.59/0.75 inference(ennf_transformation,[],[f5])). 2.59/0.75 thf(f5,plain,( 2.59/0.75 ~((! [X0 : a > $o] : (((cP @ X0) = $true) => ? [X1 : a] : ($true = (X0 @ X1))) & ! [X2 : a,X4 : a > $o,X3 : a > $o] : ((((cP @ X3) = $true) & ($true = (X4 @ X2)) & ((cP @ X4) = $true) & ($true = (X3 @ X2))) => (X3 = X4))) => ? [X5 : a > $o] : (! [X11 : a > $o] : (((cP @ X11) = $true) => ? [X12 : a] : ((X11 @ X12) = $true)) & ! [X8 : a > $o,X9 : a > $o] : ((((cP @ X9) = $true) & ((cP @ X8) = $true) & ? [X10 : a] : (($true = (X9 @ X10)) & ((X8 @ X10) = $true))) => (X8 = X9)) & ! [X6 : a] : (((X5 @ X6) = $true) <=> ? [X7 : a > $o] : (((X7 @ X6) = $true) & ((cP @ X7) = $true)))))), 2.59/0.75 inference(fool_elimination,[],[f4])). 2.59/0.75 thf(f4,plain,( 2.59/0.75 ~((! [X0 : a > $o] : ((cP @ X0) => ? [X1 : a] : (X0 @ X1)) & ! [X2 : a,X3 : a > $o,X4 : a > $o] : (((cP @ X4) & (X3 @ X2) & (X4 @ X2) & (cP @ X3)) => (X3 = X4))) => ? [X5 : a > $o] : (! [X6 : a] : ((X5 @ X6) <=> ? [X7 : a > $o] : ((cP @ X7) & (X7 @ X6))) & ! [X8 : a > $o,X9 : a > $o] : ((? [X10 : a] : ((X8 @ X10) & (X9 @ X10)) & (cP @ X8) & (cP @ X9)) => (X8 = X9)) & ! [X11 : a > $o] : ((cP @ X11) => ? [X12 : a] : (X11 @ X12))))), 2.59/0.75 inference(rectify,[],[f2])). 2.59/0.75 thf(f2,negated_conjecture,( 2.59/0.75 ~((! [X1 : a > $o] : ((cP @ X1) => ? [X3 : a] : (X1 @ X3)) & ! [X0 : a,X1 : a > $o,X2 : a > $o] : (((cP @ X2) & (X1 @ X0) & (X2 @ X0) & (cP @ X1)) => (X1 = X2))) => ? [X4 : a > $o] : (! [X0 : a] : ((X4 @ X0) <=> ? [X6 : a > $o] : ((cP @ X6) & (X6 @ X0))) & ! [X7 : a > $o,X8 : a > $o] : ((? [X0 : a] : ((X7 @ X0) & (X8 @ X0)) & (cP @ X7) & (cP @ X8)) => (X7 = X8)) & ! [X5 : a > $o] : ((cP @ X5) => ? [X0 : a] : (X5 @ X0))))), 2.59/0.75 inference(negated_conjecture,[],[f1])). 2.59/0.75 thf(f1,conjecture,( 2.59/0.75 (! [X1 : a > $o] : ((cP @ X1) => ? [X3 : a] : (X1 @ X3)) & ! [X0 : a,X1 : a > $o,X2 : a > $o] : (((cP @ X2) & (X1 @ X0) & (X2 @ X0) & (cP @ X1)) => (X1 = X2))) => ? [X4 : a > $o] : (! [X0 : a] : ((X4 @ X0) <=> ? [X6 : a > $o] : ((cP @ X6) & (X6 @ X0))) & ! [X7 : a > $o,X8 : a > $o] : ((? [X0 : a] : ((X7 @ X0) & (X8 @ X0)) & (cP @ X7) & (cP @ X8)) => (X7 = X8)) & ! [X5 : a > $o] : ((cP @ X5) => ? [X0 : a] : (X5 @ X0)))), 2.59/0.75 file('/export/starexec/sandbox/tmp/tmp.gPbwQGUeFX/E---3.1_5183.p',cTHM555_pme)). 2.59/0.75 thf(f102,plain,( 2.59/0.75 ~spl11_4 | ~spl11_7), 2.59/0.75 inference(avatar_contradiction_clause,[],[f101])). 2.59/0.75 thf(f101,plain,( 2.59/0.75 $false | (~spl11_4 | ~spl11_7)), 2.59/0.75 inference(subsumption_resolution,[],[f99,f64])). 2.59/0.75 thf(f64,plain,( 2.59/0.75 ( ! [X7 : a] : (((sK10 @ X7) != $true)) ) | ~spl11_4), 2.59/0.75 inference(avatar_component_clause,[],[f63])). 2.59/0.75 thf(f63,plain,( 2.59/0.75 spl11_4 <=> ! [X7 : a] : ((sK10 @ X7) != $true)), 2.59/0.75 introduced(avatar_definition,[new_symbols(naming,[spl11_4])])). 2.59/0.75 thf(f99,plain,( 2.59/0.75 ((sK10 @ (sK9 @ sK10)) = $true) | ~spl11_7), 2.59/0.75 inference(trivial_inequality_removal,[],[f98])). 2.59/0.75 thf(f98,plain,( 2.59/0.75 ((sK10 @ (sK9 @ sK10)) = $true) | ($true != $true) | ~spl11_7), 2.59/0.75 inference(superposition,[],[f46,f77])). 2.59/0.75 thf(f77,plain,( 2.59/0.75 ((cP @ sK10) = $true) | ~spl11_7), 2.59/0.75 inference(avatar_component_clause,[],[f75])). 2.59/0.75 thf(f75,plain,( 2.59/0.75 spl11_7 <=> ((cP @ sK10) = $true)), 2.59/0.75 introduced(avatar_definition,[new_symbols(naming,[spl11_7])])). 2.59/0.75 thf(f46,plain,( 2.59/0.75 ( ! [X3 : a > $o] : (((cP @ X3) != $true) | ((X3 @ (sK9 @ X3)) = $true)) )), 2.59/0.75 inference(cnf_transformation,[],[f32])). 2.59/0.75 thf(f96,plain,( 2.59/0.75 ~spl11_5), 2.59/0.75 inference(avatar_contradiction_clause,[],[f95])). 2.59/0.75 thf(f95,plain,( 2.59/0.75 $false | ~spl11_5), 2.59/0.75 inference(subsumption_resolution,[],[f94,f86])). 2.59/0.75 thf(f86,plain,( 2.59/0.75 ( ! [X0 : a > $o] : (((sP0 @ (sK6 @ X0)) != $true) | ((X0 @ (sK6 @ X0)) != $true)) ) | ~spl11_5), 2.59/0.75 inference(trivial_inequality_removal,[],[f84])). 2.59/0.75 thf(f84,plain,( 2.59/0.75 ( ! [X0 : a > $o] : (((X0 @ (sK6 @ X0)) != $true) | ($true != $true) | ((sP0 @ (sK6 @ X0)) != $true)) ) | ~spl11_5), 2.59/0.75 inference(backward_demodulation,[],[f38,f67])). 2.59/0.75 thf(f67,plain,( 2.59/0.75 ( ! [X5 : a > $o] : (((sP2 @ X5) = $true)) ) | ~spl11_5), 2.59/0.75 inference(avatar_component_clause,[],[f66])). 2.59/0.75 thf(f66,plain,( 2.59/0.75 spl11_5 <=> ! [X5 : a > $o] : ((sP2 @ X5) = $true)), 2.59/0.75 introduced(avatar_definition,[new_symbols(naming,[spl11_5])])). 2.59/0.75 thf(f38,plain,( 2.59/0.75 ( ! [X0 : a > $o] : (((sP0 @ (sK6 @ X0)) != $true) | ((sP2 @ X0) != $true) | ((X0 @ (sK6 @ X0)) != $true)) )), 2.59/0.75 inference(cnf_transformation,[],[f20])). 2.59/0.75 thf(f20,plain,( 2.59/0.75 ! [X0 : a > $o] : (((((sP0 @ (sK6 @ X0)) != $true) | ((X0 @ (sK6 @ X0)) != $true)) & (((sP0 @ (sK6 @ X0)) = $true) | ((X0 @ (sK6 @ X0)) = $true))) | ((sP2 @ X0) != $true))), 2.59/0.75 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f18,f19])). 2.59/0.75 thf(f19,plain,( 2.59/0.75 ! [X0 : a > $o] : (? [X1 : a] : ((($true != (sP0 @ X1)) | ($true != (X0 @ X1))) & (($true = (sP0 @ X1)) | ($true = (X0 @ X1)))) => ((((sP0 @ (sK6 @ X0)) != $true) | ((X0 @ (sK6 @ X0)) != $true)) & (((sP0 @ (sK6 @ X0)) = $true) | ((X0 @ (sK6 @ X0)) = $true))))), 2.59/0.75 introduced(choice_axiom,[])). 2.59/0.75 thf(f18,plain,( 2.59/0.75 ! [X0 : a > $o] : (? [X1 : a] : ((($true != (sP0 @ X1)) | ($true != (X0 @ X1))) & (($true = (sP0 @ X1)) | ($true = (X0 @ X1)))) | ((sP2 @ X0) != $true))), 2.59/0.75 inference(rectify,[],[f17])). 2.59/0.75 thf(f17,plain,( 2.59/0.75 ! [X5 : a > $o] : (? [X6 : a] : ((((sP0 @ X6) != $true) | ((X5 @ X6) != $true)) & (((sP0 @ X6) = $true) | ((X5 @ X6) = $true))) | ((sP2 @ X5) != $true))), 2.59/0.75 inference(nnf_transformation,[],[f10])). 2.59/0.75 thf(f94,plain,( 2.59/0.75 ($true = (sP0 @ (sK6 @ sP0))) | ~spl11_5), 2.59/0.75 inference(trivial_inequality_removal,[],[f91])). 2.59/0.75 thf(f91,plain,( 2.59/0.75 ($true != $true) | ($true = (sP0 @ (sK6 @ sP0))) | ~spl11_5), 2.59/0.75 inference(equality_factoring,[],[f87])). 2.59/0.75 thf(f87,plain,( 2.59/0.75 ( ! [X0 : a > $o] : (((sP0 @ (sK6 @ X0)) = $true) | ((X0 @ (sK6 @ X0)) = $true)) ) | ~spl11_5), 2.59/0.75 inference(trivial_inequality_removal,[],[f85])). 2.59/0.75 thf(f85,plain,( 2.59/0.75 ( ! [X0 : a > $o] : (((X0 @ (sK6 @ X0)) = $true) | ((sP0 @ (sK6 @ X0)) = $true) | ($true != $true)) ) | ~spl11_5), 2.59/0.75 inference(backward_demodulation,[],[f37,f67])). 2.59/0.75 thf(f37,plain,( 2.59/0.75 ( ! [X0 : a > $o] : (((sP2 @ X0) != $true) | ((sP0 @ (sK6 @ X0)) = $true) | ((X0 @ (sK6 @ X0)) = $true)) )), 2.59/0.75 inference(cnf_transformation,[],[f20])). 2.59/0.75 thf(f83,plain,( 2.59/0.75 ~spl11_2 | spl11_8), 2.59/0.75 inference(avatar_split_clause,[],[f34,f80,f53])). 2.59/0.75 thf(f53,plain,( 2.59/0.75 spl11_2 <=> (sP3 = $true)), 2.59/0.75 introduced(avatar_definition,[new_symbols(naming,[spl11_2])])). 2.59/0.75 thf(f34,plain,( 2.59/0.75 (sP3 != $true) | ($true = (cP @ sK5))), 2.59/0.75 inference(cnf_transformation,[],[f16])). 2.59/0.75 thf(f16,plain,( 2.59/0.75 (((sP1 @ sK4 @ sK5) = $true) & ($true = (cP @ sK4)) & ($true = (cP @ sK5)) & (sK5 != sK4)) | (sP3 != $true)), 2.59/0.75 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f14,f15])). 2.59/0.75 thf(f15,plain,( 2.59/0.75 ? [X0 : a > $o,X1 : a > $o] : (((sP1 @ X0 @ X1) = $true) & ((cP @ X0) = $true) & ((cP @ X1) = $true) & (X0 != X1)) => (((sP1 @ sK4 @ sK5) = $true) & ($true = (cP @ sK4)) & ($true = (cP @ sK5)) & (sK5 != sK4))), 2.59/0.75 introduced(choice_axiom,[])). 2.59/0.75 thf(f14,plain,( 2.59/0.75 ? [X0 : a > $o,X1 : a > $o] : (((sP1 @ X0 @ X1) = $true) & ((cP @ X0) = $true) & ((cP @ X1) = $true) & (X0 != X1)) | (sP3 != $true)), 2.59/0.75 inference(rectify,[],[f13])). 2.59/0.75 thf(f13,plain,( 2.59/0.75 ? [X8 : a > $o,X9 : a > $o] : (($true = (sP1 @ X8 @ X9)) & ((cP @ X8) = $true) & ((cP @ X9) = $true) & (X8 != X9)) | (sP3 != $true)), 2.59/0.75 inference(nnf_transformation,[],[f11])). 2.59/0.75 thf(f78,plain,( 2.59/0.75 spl11_2 | spl11_7 | spl11_5), 2.59/0.75 inference(avatar_split_clause,[],[f44,f66,f75,f53])). 2.59/0.75 thf(f44,plain,( 2.59/0.75 ( ! [X5 : a > $o] : (((sP2 @ X5) = $true) | (sP3 = $true) | ((cP @ sK10) = $true)) )), 2.59/0.75 inference(cnf_transformation,[],[f32])). 2.59/0.75 thf(f73,plain,( 2.59/0.75 ~spl11_6 | ~spl11_2), 2.59/0.75 inference(avatar_split_clause,[],[f33,f53,f70])). 2.59/0.75 thf(f33,plain,( 2.59/0.75 (sP3 != $true) | (sK5 != sK4)), 2.59/0.75 inference(cnf_transformation,[],[f16])). 2.59/0.75 thf(f68,plain,( 2.59/0.75 spl11_2 | spl11_4 | spl11_5), 2.59/0.75 inference(avatar_split_clause,[],[f45,f66,f63,f53])). 2.59/0.75 thf(f45,plain,( 2.59/0.75 ( ! [X7 : a,X5 : a > $o] : (((sP2 @ X5) = $true) | (sP3 = $true) | ((sK10 @ X7) != $true)) )), 2.59/0.75 inference(cnf_transformation,[],[f32])). 2.59/0.75 thf(f61,plain,( 2.59/0.75 ~spl11_2 | spl11_3), 2.59/0.75 inference(avatar_split_clause,[],[f36,f58,f53])). 2.59/0.75 thf(f36,plain,( 2.59/0.75 (sP3 != $true) | ((sP1 @ sK4 @ sK5) = $true)), 2.59/0.75 inference(cnf_transformation,[],[f16])). 2.59/0.75 thf(f56,plain,( 2.59/0.75 spl11_1 | ~spl11_2), 2.59/0.75 inference(avatar_split_clause,[],[f35,f53,f49])). 2.59/0.75 thf(f35,plain,( 2.59/0.75 ($true = (cP @ sK4)) | (sP3 != $true)), 2.59/0.75 inference(cnf_transformation,[],[f16])). 2.59/0.75 % SZS output end Proof for E---3.1_5183 2.59/0.75 % (5512)------------------------------ 2.59/0.75 % (5512)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.59/0.75 % (5512)Termination reason: Refutation 2.59/0.75 2.59/0.75 % (5512)Memory used [KB]: 5628 2.59/0.75 % (5512)Time elapsed: 0.009 s 2.59/0.75 % (5512)Instructions burned: 12 (million) 2.59/0.75 % (5512)------------------------------ 2.59/0.75 % (5512)------------------------------ 2.59/0.75 % (5424)Success in time 0.381 s 2.59/0.75 EOF