0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n022.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 05:56:24 EDT 2024 0.12/0.33 % CPUTime : 0.12/0.35 This is a THF_ problem 0.12/0.35 Running higher-order theorem proving 0.12/0.39 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.rz9eCeWtgq/E---3.1_29404.p -m 16384 -t 180 0.25/0.43 % (29512)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_29404 for (1799ds/183Mi) 0.25/0.43 % (29514)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_29404 for (1799ds/27Mi) 0.25/0.43 % (29513)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_29404 for (1799ds/4Mi) 0.25/0.43 % (29516)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_29404 for (1799ds/2Mi) 0.25/0.43 % (29515)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_29404 for (1799ds/2Mi) 0.25/0.43 % (29517)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_29404 for (1799ds/275Mi) 0.25/0.43 % (29518)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_29404 for (1799ds/18Mi) 0.25/0.43 % (29515)Instruction limit reached! 0.25/0.43 % (29515)------------------------------ 0.25/0.43 % (29515)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.43 % (29515)Termination reason: Unknown 0.25/0.43 % (29516)Instruction limit reached! 0.25/0.43 % (29516)------------------------------ 0.25/0.43 % (29516)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.43 % (29516)Termination reason: Unknown 0.25/0.43 % (29516)Termination phase: shuffling 0.25/0.43 0.25/0.43 % (29516)Memory used [KB]: 1407 0.25/0.43 % (29516)Time elapsed: 0.004 s 0.25/0.43 % (29516)Instructions burned: 3 (million) 0.25/0.43 % (29516)------------------------------ 0.25/0.43 % (29516)------------------------------ 0.25/0.43 % (29515)Termination phase: shuffling 0.25/0.43 0.25/0.43 % (29515)Memory used [KB]: 1407 0.25/0.43 % (29515)Time elapsed: 0.004 s 0.25/0.43 % (29515)Instructions burned: 3 (million) 0.25/0.43 % (29515)------------------------------ 0.25/0.43 % (29515)------------------------------ 0.25/0.43 % (29513)Instruction limit reached! 0.25/0.43 % (29513)------------------------------ 0.25/0.43 % (29513)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.43 % (29513)Termination reason: Unknown 0.25/0.43 % (29513)Termination phase: shuffling 0.25/0.43 0.25/0.43 % (29513)Memory used [KB]: 1407 0.25/0.43 % (29513)Time elapsed: 0.005 s 0.25/0.43 % (29513)Instructions burned: 5 (million) 0.25/0.43 % (29513)------------------------------ 0.25/0.43 % (29513)------------------------------ 0.25/0.44 % (29518)Instruction limit reached! 0.25/0.44 % (29518)------------------------------ 0.25/0.44 % (29518)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.44 % (29518)Termination reason: Unknown 0.25/0.44 % (29518)Termination phase: shuffling 0.25/0.44 0.25/0.44 % (29518)Memory used [KB]: 1535 0.25/0.44 % (29518)Time elapsed: 0.012 s 0.25/0.44 % (29518)Instructions burned: 19 (million) 0.25/0.44 % (29518)------------------------------ 0.25/0.44 % (29518)------------------------------ 0.25/0.44 % (29514)Instruction limit reached! 0.25/0.44 % (29514)------------------------------ 0.25/0.44 % (29514)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.44 % (29514)Termination reason: Unknown 0.25/0.44 % (29514)Termination phase: shuffling 0.25/0.44 0.25/0.44 % (29514)Memory used [KB]: 1791 0.25/0.44 % (29514)Time elapsed: 0.016 s 0.25/0.44 % (29514)Instructions burned: 27 (million) 0.25/0.44 % (29514)------------------------------ 0.25/0.44 % (29514)------------------------------ 0.25/0.45 % (29519)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_29404 for (1799ds/3Mi) 0.25/0.45 % (29520)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_29404 for (1799ds/37Mi) 0.25/0.45 % (29521)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_29404 for (1799ds/15Mi) 0.25/0.45 % (29519)Instruction limit reached! 0.25/0.45 % (29519)------------------------------ 0.25/0.45 % (29519)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.45 % (29519)Termination reason: Unknown 0.25/0.45 % (29519)Termination phase: shuffling 0.25/0.45 0.25/0.45 % (29519)Memory used [KB]: 1407 0.25/0.45 % (29519)Time elapsed: 0.004 s 0.25/0.45 % (29519)Instructions burned: 4 (million) 0.25/0.45 % (29519)------------------------------ 0.25/0.45 % (29519)------------------------------ 0.25/0.46 % (29522)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_29404 for (1799ds/3Mi) 0.25/0.46 % (29521)Instruction limit reached! 0.25/0.46 % (29521)------------------------------ 0.25/0.46 % (29521)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.46 % (29521)Termination reason: Unknown 0.25/0.46 % (29521)Termination phase: shuffling 0.25/0.46 0.25/0.46 % (29521)Memory used [KB]: 1535 0.25/0.46 % (29521)Time elapsed: 0.010 s 0.25/0.46 % (29521)Instructions burned: 15 (million) 0.25/0.46 % (29521)------------------------------ 0.25/0.46 % (29521)------------------------------ 0.25/0.46 % (29522)Instruction limit reached! 0.25/0.46 % (29522)------------------------------ 0.25/0.46 % (29522)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.46 % (29522)Termination reason: Unknown 0.25/0.46 % (29522)Termination phase: shuffling 0.25/0.46 0.25/0.46 % (29522)Memory used [KB]: 1407 0.25/0.46 % (29522)Time elapsed: 0.004 s 0.25/0.46 % (29522)Instructions burned: 3 (million) 0.25/0.46 % (29522)------------------------------ 0.25/0.46 % (29522)------------------------------ 0.25/0.46 % (29523)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_29404 for (1799ds/1041Mi) 0.25/0.47 % (29524)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_29404 for (1799ds/7Mi) 0.25/0.47 % (29520)Instruction limit reached! 0.25/0.47 % (29520)------------------------------ 0.25/0.47 % (29520)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.47 % (29520)Termination reason: Unknown 0.25/0.47 % (29520)Termination phase: Property scanning 0.25/0.47 0.25/0.47 % (29520)Memory used [KB]: 1918 0.25/0.47 % (29520)Time elapsed: 0.020 s 0.25/0.47 % (29520)Instructions burned: 37 (million) 0.25/0.47 % (29520)------------------------------ 0.25/0.47 % (29520)------------------------------ 0.25/0.47 % (29517)Refutation not found, incomplete strategy 0.25/0.47 % (29517)------------------------------ 0.25/0.47 % (29517)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.47 % (29517)Termination reason: Refutation not found, incomplete strategy 0.25/0.47 0.25/0.47 0.25/0.47 % (29517)Memory used [KB]: 6524 0.25/0.47 % (29517)Time elapsed: 0.041 s 0.25/0.47 % (29517)Instructions burned: 78 (million) 0.25/0.47 % (29524)Instruction limit reached! 0.25/0.47 % (29524)------------------------------ 0.25/0.47 % (29524)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.47 % (29524)Termination reason: Unknown 0.25/0.47 % (29524)Termination phase: shuffling 0.25/0.47 0.25/0.47 % (29524)Memory used [KB]: 1407 0.25/0.47 % (29524)Time elapsed: 0.006 s 0.25/0.47 % (29524)Instructions burned: 7 (million) 0.25/0.47 % (29524)------------------------------ 0.25/0.47 % (29524)------------------------------ 0.25/0.47 % (29517)------------------------------ 0.25/0.47 % (29517)------------------------------ 0.25/0.47 % (29525)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_29404 for (1799ds/16Mi) 0.25/0.47 % (29526)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_29404 for (1799ds/3Mi) 0.25/0.48 % (29526)Instruction limit reached! 0.25/0.48 % (29526)------------------------------ 0.25/0.48 % (29526)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.48 % (29526)Termination reason: Unknown 0.25/0.48 % (29526)Termination phase: shuffling 0.25/0.48 0.25/0.48 % (29526)Memory used [KB]: 1407 0.25/0.48 % (29526)Time elapsed: 0.004 s 0.25/0.48 % (29526)Instructions burned: 4 (million) 0.25/0.48 % (29526)------------------------------ 0.25/0.48 % (29526)------------------------------ 0.25/0.48 % (29525)Instruction limit reached! 0.25/0.48 % (29525)------------------------------ 0.25/0.48 % (29525)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.48 % (29525)Termination reason: Unknown 0.25/0.48 % (29525)Termination phase: shuffling 0.25/0.48 0.25/0.48 % (29525)Memory used [KB]: 1535 0.25/0.48 % (29525)Time elapsed: 0.010 s 0.25/0.48 % (29525)Instructions burned: 16 (million) 0.25/0.48 % (29525)------------------------------ 0.25/0.48 % (29525)------------------------------ 0.25/0.48 % (29527)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_29404 for (1799ds/3Mi) 0.25/0.48 % (29527)Instruction limit reached! 0.25/0.48 % (29527)------------------------------ 0.25/0.48 % (29527)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.48 % (29527)Termination reason: Unknown 0.25/0.48 % (29527)Termination phase: shuffling 0.25/0.48 0.25/0.48 % (29527)Memory used [KB]: 1407 0.25/0.48 % (29527)Time elapsed: 0.004 s 0.25/0.48 % (29527)Instructions burned: 3 (million) 0.25/0.48 % (29527)------------------------------ 0.25/0.48 % (29527)------------------------------ 0.25/0.49 % (29528)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_29404 for (1799ds/7Mi) 0.25/0.49 % (29529)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_29404 for (1799ds/3Mi) 0.25/0.49 % (29530)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_29404 for (1799ds/4Mi) 0.25/0.49 % (29529)Instruction limit reached! 0.25/0.49 % (29529)------------------------------ 0.25/0.49 % (29529)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.49 % (29529)Termination reason: Unknown 0.25/0.49 % (29529)Termination phase: shuffling 0.25/0.49 0.25/0.49 % (29529)Memory used [KB]: 1407 0.25/0.49 % (29529)Time elapsed: 0.004 s 0.25/0.49 % (29529)Instructions burned: 4 (million) 0.25/0.49 % (29529)------------------------------ 0.25/0.49 % (29529)------------------------------ 0.25/0.49 % (29528)Instruction limit reached! 0.25/0.49 % (29528)------------------------------ 0.25/0.49 % (29528)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.49 % (29528)Termination reason: Unknown 0.25/0.49 % (29528)Termination phase: shuffling 0.25/0.49 0.25/0.49 % (29528)Memory used [KB]: 1407 0.25/0.49 % (29528)Time elapsed: 0.006 s 0.25/0.49 % (29528)Instructions burned: 8 (million) 0.25/0.49 % (29528)------------------------------ 0.25/0.49 % (29528)------------------------------ 0.25/0.49 % (29530)Instruction limit reached! 0.25/0.49 % (29530)------------------------------ 0.25/0.49 % (29530)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.49 % (29530)Termination reason: Unknown 0.25/0.49 % (29530)Termination phase: shuffling 0.25/0.49 0.25/0.49 % (29530)Memory used [KB]: 1407 0.25/0.49 % (29530)Time elapsed: 0.003 s 0.25/0.49 % (29530)Instructions burned: 4 (million) 0.25/0.49 % (29530)------------------------------ 0.25/0.49 % (29530)------------------------------ 0.25/0.50 % (29531)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_29404 for (1799ds/18Mi) 0.25/0.50 % (29535)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_29404 for (1799ds/21Mi) 0.25/0.50 % (29532)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_29404 for (1799ds/710Mi) 0.25/0.50 % (29533)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_29404 for (1799ds/6Mi) 0.25/0.51 % (29534)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_29404 for (1799ds/902Mi) 0.25/0.51 % (29531)Instruction limit reached! 0.25/0.51 % (29531)------------------------------ 0.25/0.51 % (29531)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.51 % (29531)Termination reason: Unknown 0.25/0.51 % (29531)Termination phase: shuffling 0.25/0.51 0.25/0.51 % (29531)Memory used [KB]: 1535 0.25/0.51 % (29531)Time elapsed: 0.011 s 0.25/0.51 % (29531)Instructions burned: 18 (million) 0.25/0.51 % (29531)------------------------------ 0.25/0.51 % (29531)------------------------------ 0.25/0.51 % (29535)Instruction limit reached! 0.25/0.51 % (29535)------------------------------ 0.25/0.51 % (29535)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.51 % (29535)Termination reason: Unknown 0.25/0.51 % (29535)Termination phase: shuffling 0.25/0.51 0.25/0.51 % (29535)Memory used [KB]: 1791 0.25/0.51 % (29535)Time elapsed: 0.008 s 0.25/0.51 % (29535)Instructions burned: 24 (million) 0.25/0.51 % (29535)------------------------------ 0.25/0.51 % (29535)------------------------------ 0.25/0.51 % (29533)Instruction limit reached! 0.25/0.51 % (29533)------------------------------ 0.25/0.51 % (29533)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.51 % (29533)Termination reason: Unknown 0.25/0.51 % (29533)Termination phase: shuffling 0.25/0.51 0.25/0.51 % (29533)Memory used [KB]: 1407 0.25/0.51 % (29533)Time elapsed: 0.005 s 0.25/0.51 % (29533)Instructions burned: 6 (million) 0.25/0.51 % (29533)------------------------------ 0.25/0.51 % (29533)------------------------------ 0.25/0.52 % (29512)Instruction limit reached! 0.25/0.52 % (29512)------------------------------ 0.25/0.52 % (29512)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.52 % (29512)Termination reason: Unknown 0.25/0.52 % (29512)Termination phase: Saturation 0.25/0.52 0.25/0.52 % (29512)Memory used [KB]: 6908 0.25/0.52 % (29512)Time elapsed: 0.087 s 0.25/0.52 % (29537)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_29404 for (1798ds/6Mi) 0.25/0.52 % (29512)Instructions burned: 184 (million) 0.25/0.52 % (29512)------------------------------ 0.25/0.52 % (29512)------------------------------ 0.25/0.52 % (29537)Instruction limit reached! 0.25/0.52 % (29537)------------------------------ 0.25/0.52 % (29537)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.52 % (29537)Termination reason: Unknown 0.25/0.52 % (29537)Termination phase: shuffling 0.25/0.52 0.25/0.52 % (29537)Memory used [KB]: 1535 0.25/0.52 % (29537)Time elapsed: 0.004 s 0.25/0.52 % (29537)Instructions burned: 9 (million) 0.25/0.52 % (29537)------------------------------ 0.25/0.52 % (29537)------------------------------ 0.25/0.52 % (29536)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_29404 for (1798ds/5Mi) 0.25/0.52 % (29538)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_29404 for (1798ds/377Mi) 0.25/0.52 % (29536)Instruction limit reached! 0.25/0.52 % (29536)------------------------------ 0.25/0.52 % (29536)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.52 % (29536)Termination reason: Unknown 0.25/0.52 % (29536)Termination phase: shuffling 0.25/0.52 0.25/0.52 % (29536)Memory used [KB]: 1407 0.25/0.52 % (29536)Time elapsed: 0.005 s 0.25/0.52 % (29536)Instructions burned: 6 (million) 0.25/0.52 % (29536)------------------------------ 0.25/0.52 % (29536)------------------------------ 0.25/0.53 % (29540)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_29404 for (1798ds/19Mi) 0.25/0.53 % (29539)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_29404 for (1798ds/779Mi) 0.25/0.53 % (29540)Instruction limit reached! 0.25/0.53 % (29540)------------------------------ 0.25/0.53 % (29540)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.53 % (29540)Termination reason: Unknown 0.25/0.53 % (29540)Termination phase: shuffling 0.25/0.53 0.25/0.53 % (29540)Memory used [KB]: 1791 0.25/0.53 % (29540)Time elapsed: 0.007 s 0.25/0.53 % (29540)Instructions burned: 19 (million) 0.25/0.53 % (29540)------------------------------ 0.25/0.53 % (29540)------------------------------ 0.25/0.54 % (29541)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_29404 for (1798ds/879Mi) 0.25/0.54 % (29542)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_29404 for (1798ds/17Mi) 0.25/0.55 % (29542)Instruction limit reached! 0.25/0.55 % (29542)------------------------------ 0.25/0.55 % (29542)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.55 % (29542)Termination reason: Unknown 0.25/0.55 % (29542)Termination phase: shuffling 0.25/0.55 0.25/0.55 % (29542)Memory used [KB]: 1535 0.25/0.55 % (29542)Time elapsed: 0.007 s 0.25/0.55 % (29542)Instructions burned: 18 (million) 0.25/0.55 % (29542)------------------------------ 0.25/0.55 % (29542)------------------------------ 0.25/0.55 % (29534)Refutation not found, incomplete strategy 0.25/0.55 % (29534)------------------------------ 0.25/0.55 % (29534)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.55 % (29534)Termination reason: Refutation not found, incomplete strategy 0.25/0.55 0.25/0.55 0.25/0.55 % (29534)Memory used [KB]: 6652 0.25/0.55 % (29534)Time elapsed: 0.043 s 0.25/0.55 % (29534)Instructions burned: 97 (million) 0.25/0.55 % (29534)------------------------------ 0.25/0.55 % (29534)------------------------------ 0.25/0.56 % (29543)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_29404 for (1798ds/3Mi) 0.25/0.56 % (29544)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_29404 for (1798ds/30Mi) 0.25/0.56 % (29543)Instruction limit reached! 0.25/0.56 % (29543)------------------------------ 0.25/0.56 % (29543)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.56 % (29543)Termination reason: Unknown 0.25/0.56 % (29543)Termination phase: shuffling 0.25/0.56 0.25/0.56 % (29543)Memory used [KB]: 1407 0.25/0.56 % (29543)Time elapsed: 0.003 s 0.25/0.56 % (29543)Instructions burned: 5 (million) 0.25/0.56 % (29543)------------------------------ 0.25/0.56 % (29543)------------------------------ 0.25/0.57 % (29544)Instruction limit reached! 0.25/0.57 % (29544)------------------------------ 0.25/0.57 % (29544)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.57 % (29544)Termination reason: Unknown 0.25/0.57 % (29544)Termination phase: shuffling 0.25/0.57 0.25/0.57 % (29544)Memory used [KB]: 1791 0.25/0.57 % (29544)Time elapsed: 0.011 s 0.25/0.57 % (29544)Instructions burned: 32 (million) 0.25/0.57 % (29544)------------------------------ 0.25/0.57 % (29544)------------------------------ 0.25/0.57 % (29545)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_29404 for (1798ds/127Mi) 0.25/0.58 % (29546)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_29404 for (1798ds/100Mi) 1.43/0.60 % (29541)Refutation not found, incomplete strategy 1.43/0.60 % (29541)------------------------------ 1.43/0.60 % (29541)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.43/0.60 % (29541)Termination reason: Refutation not found, incomplete strategy 1.43/0.60 1.43/0.60 1.43/0.60 % (29541)Memory used [KB]: 6908 1.43/0.60 % (29541)Time elapsed: 0.062 s 1.43/0.60 % (29541)Instructions burned: 209 (million) 1.43/0.60 % (29541)------------------------------ 1.43/0.60 % (29541)------------------------------ 1.43/0.60 % (29545)Instruction limit reached! 1.43/0.60 % (29545)------------------------------ 1.43/0.60 % (29545)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.43/0.60 % (29545)Termination reason: Unknown 1.43/0.60 % (29545)Termination phase: Property scanning 1.43/0.60 1.43/0.60 % (29545)Memory used [KB]: 2430 1.43/0.60 % (29545)Time elapsed: 0.036 s 1.43/0.60 % (29545)Instructions burned: 130 (million) 1.43/0.60 % (29545)------------------------------ 1.43/0.60 % (29545)------------------------------ 1.43/0.60 % (29546)Instruction limit reached! 1.43/0.60 % (29546)------------------------------ 1.43/0.60 % (29546)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.43/0.60 % (29546)Termination reason: Unknown 1.43/0.60 % (29546)Termination phase: Property scanning 1.43/0.60 1.43/0.60 % (29546)Memory used [KB]: 2430 1.43/0.60 % (29546)Time elapsed: 0.029 s 1.43/0.60 % (29546)Instructions burned: 103 (million) 1.43/0.60 % (29546)------------------------------ 1.43/0.60 % (29546)------------------------------ 1.43/0.61 % (29547)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_29404 for (1798ds/3Mi) 1.43/0.61 % (29548)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_29404 for (1798ds/20Mi) 1.43/0.61 % (29547)Instruction limit reached! 1.43/0.61 % (29547)------------------------------ 1.43/0.61 % (29547)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.43/0.61 % (29547)Termination reason: Unknown 1.43/0.61 % (29547)Termination phase: shuffling 1.43/0.61 1.43/0.61 % (29547)Memory used [KB]: 1407 1.43/0.61 % (29547)Time elapsed: 0.003 s 1.43/0.61 % (29547)Instructions burned: 4 (million) 1.43/0.61 % (29547)------------------------------ 1.43/0.61 % (29547)------------------------------ 1.43/0.61 % (29539)First to succeed. 1.43/0.61 % (29549)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_29404 for (1798ds/86Mi) 1.43/0.61 % (29539)Refutation found. Thanks to Tanya! 1.43/0.61 % SZS status Theorem for E---3.1_29404 1.43/0.61 % SZS output start Proof for E---3.1_29404 1.43/0.61 thf(type_def_5, type, mu: $tType). 1.43/0.61 thf(func_def_0, type, mu: $tType). 1.43/0.61 thf(func_def_1, type, qmltpeq: mu > mu > $i > $o). 1.43/0.61 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 1.43/0.61 thf(func_def_4, type, mnot: ($i > $o) > $i > $o). 1.43/0.61 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o). 1.43/0.61 thf(func_def_6, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 1.43/0.61 thf(func_def_7, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 1.43/0.61 thf(func_def_8, type, mtrue: $i > $o). 1.43/0.61 thf(func_def_9, type, mfalse: $i > $o). 1.43/0.61 thf(func_def_10, type, mand: ($i > $o) > ($i > $o) > $i > $o). 1.43/0.61 thf(func_def_11, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 1.43/0.61 thf(func_def_12, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 1.43/0.61 thf(func_def_13, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 1.43/0.61 thf(func_def_14, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 1.43/0.61 thf(func_def_15, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 1.43/0.61 thf(func_def_16, type, exists_in_world: mu > $i > $o). 1.43/0.61 thf(func_def_17, type, mforall_ind: (mu > $i > $o) > $i > $o). 1.43/0.61 thf(func_def_18, type, mexists_ind: (mu > $i > $o) > $i > $o). 1.43/0.61 thf(func_def_19, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 1.43/0.61 thf(func_def_20, type, mreflexive: ($i > $i > $o) > $o). 1.43/0.61 thf(func_def_21, type, msymmetric: ($i > $i > $o) > $o). 1.43/0.61 thf(func_def_22, type, mserial: ($i > $i > $o) > $o). 1.43/0.61 thf(func_def_23, type, mtransitive: ($i > $i > $o) > $o). 1.43/0.61 thf(func_def_24, type, meuclidean: ($i > $i > $o) > $o). 1.43/0.61 thf(func_def_25, type, mpartially_functional: ($i > $i > $o) > $o). 1.43/0.61 thf(func_def_26, type, mfunctional: ($i > $i > $o) > $o). 1.43/0.61 thf(func_def_27, type, mweakly_dense: ($i > $i > $o) > $o). 1.43/0.61 thf(func_def_28, type, mweakly_connected: ($i > $i > $o) > $o). 1.43/0.61 thf(func_def_29, type, mweakly_directed: ($i > $i > $o) > $o). 1.43/0.61 thf(func_def_30, type, mvalid: ($i > $o) > $o). 1.43/0.61 thf(func_def_31, type, msatisfiable: ($i > $o) > $o). 1.43/0.61 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o). 1.43/0.61 thf(func_def_33, type, minvalid: ($i > $o) > $o). 1.43/0.61 thf(func_def_34, type, rel_s4: $i > $i > $o). 1.43/0.61 thf(func_def_35, type, mbox_s4: ($i > $o) > $i > $o). 1.43/0.61 thf(func_def_36, type, mdia_s4: ($i > $o) > $i > $o). 1.43/0.61 thf(func_def_37, type, true: $i > $o). 1.43/0.61 thf(func_def_38, type, lt: mu > mu > $i > $o). 1.43/0.61 thf(func_def_39, type, geq: mu > mu > $i > $o). 1.43/0.61 thf(func_def_40, type, gt: mu > mu > $i > $o). 1.43/0.61 thf(func_def_41, type, leq: mu > mu > $i > $o). 1.43/0.61 thf(func_def_42, type, uniform_int_rnd: mu > mu > mu). 1.43/0.61 thf(func_def_43, type, tptp_const_array1: mu > mu > mu). 1.43/0.61 thf(func_def_44, type, dim: mu > mu > mu). 1.43/0.61 thf(func_def_45, type, tptp_const_array2: mu > mu > mu > mu). 1.43/0.61 thf(func_def_46, type, inv: mu > mu). 1.43/0.61 thf(func_def_47, type, tptp_msub: mu > mu > mu). 1.43/0.61 thf(func_def_48, type, trans: mu > mu). 1.43/0.61 thf(func_def_49, type, tptp_mmul: mu > mu > mu). 1.43/0.61 thf(func_def_50, type, tptp_madd: mu > mu > mu). 1.43/0.61 thf(func_def_51, type, sum: mu > mu > mu > mu). 1.43/0.61 thf(func_def_52, type, tptp_float_0_0: mu). 1.43/0.61 thf(func_def_53, type, plus: mu > mu > mu). 1.43/0.61 thf(func_def_54, type, pred: mu > mu). 1.43/0.61 thf(func_def_55, type, tptp_update3: mu > mu > mu > mu > mu). 1.43/0.61 thf(func_def_56, type, a_select3: mu > mu > mu > mu). 1.43/0.61 thf(func_def_57, type, tptp_update2: mu > mu > mu > mu). 1.43/0.61 thf(func_def_58, type, a_select2: mu > mu > mu). 1.43/0.61 thf(func_def_59, type, use: mu). 1.43/0.61 thf(func_def_60, type, def: mu). 1.43/0.61 thf(func_def_61, type, minus: mu > mu > mu). 1.43/0.61 thf(func_def_62, type, pv35: mu). 1.43/0.61 thf(func_def_63, type, pv31: mu). 1.43/0.61 thf(func_def_64, type, tptp_minus_1: mu). 1.43/0.61 thf(func_def_65, type, n135300: mu). 1.43/0.61 thf(func_def_66, type, n4: mu). 1.43/0.61 thf(func_def_67, type, n5: mu). 1.43/0.61 thf(func_def_68, type, n1: mu). 1.43/0.61 thf(func_def_69, type, n2: mu). 1.43/0.61 thf(func_def_70, type, n3: mu). 1.43/0.61 thf(func_def_71, type, n0: mu). 1.43/0.61 thf(func_def_72, type, succ: mu > mu). 1.43/0.61 thf(func_def_94, type, sK1: mu > $i > $i). 1.43/0.61 thf(func_def_95, type, sK2: mu > $i > $i). 1.43/0.61 thf(func_def_96, type, sK3: mu > $i > mu > $i). 1.43/0.61 thf(func_def_97, type, sK4: $i > mu > mu > $i). 1.43/0.61 thf(f1137,plain,( 1.43/0.61 $false), 1.43/0.61 inference(trivial_inequality_removal,[],[f1136])). 1.43/0.61 thf(f1136,plain,( 1.43/0.61 ($true = $false)), 1.43/0.61 inference(beta_eta_normalization,[],[f1135])). 1.43/0.61 thf(f1135,plain,( 1.43/0.61 (((^[Y0 : $i]: ($true)) @ sK6) = $false)), 1.43/0.61 inference(sigma_clausification,[],[f1134])). 1.43/0.61 thf(f1134,plain,( 1.43/0.61 ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false)), 1.43/0.61 inference(beta_eta_normalization,[],[f1133])). 1.43/0.61 thf(f1133,plain,( 1.43/0.61 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true)))) @ sK5) = $false)), 1.43/0.61 inference(sigma_clausification,[],[f1132])). 1.43/0.61 thf(f1132,plain,( 1.43/0.61 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true))))) = $false)), 1.43/0.61 inference(not_proxy_clausification,[],[f931])). 1.43/0.61 thf(f931,plain,( 1.43/0.61 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true)))))) = $true)), 1.43/0.61 inference(boolean_simplification,[],[f930])). 1.43/0.61 thf(f930,plain,( 1.43/0.61 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true | (~ (rel_s4 @ Y0 @ Y1)))))))) = $true)), 1.43/0.61 inference(boolean_simplification,[],[f929])). 1.43/0.61 thf(f929,plain,( 1.43/0.61 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((leq @ n0 @ pv31 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((leq @ n0 @ pv35 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((leq @ pv31 @ (minus @ n5 @ n1) @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((leq @ pv35 @ (minus @ n135300 @ n1) @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))))))))))) | (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((leq @ n0 @ pv31 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((leq @ n0 @ pv35 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((leq @ pv31 @ (minus @ n5 @ n1) @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((leq @ pv35 @ (minus @ n135300 @ n1) @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) = $true)), 1.43/0.61 inference(beta_eta_normalization,[],[f745])). 1.43/0.61 thf(f745,plain,( 1.43/0.61 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (leq @ n0 @ pv31)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (leq @ n0 @ pv35)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (leq @ pv31 @ (minus @ n5 @ n1))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (leq @ pv35 @ (minus @ n135300 @ n1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (leq @ n0 @ pv31)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (leq @ n0 @ pv35)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (leq @ pv31 @ (minus @ n5 @ n1))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (leq @ pv35 @ (minus @ n135300 @ n1)))))))))) = $true)), 1.43/0.61 inference(definition_unfolding,[],[f631,f645,f672,f740,f739,f672,f739,f672,f739,f672,f672,f739,f672,f739,f672,f739,f672,f672])). 1.43/0.61 thf(f739,plain,( 1.43/0.61 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))), 1.43/0.61 inference(definition_unfolding,[],[f706,f724,f661,f724,f724])). 1.43/0.61 thf(f661,plain,( 1.43/0.61 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))), 1.43/0.61 inference(cnf_transformation,[],[f589])). 1.43/0.61 thf(f589,plain,( 1.43/0.61 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))), 1.43/0.61 inference(fool_elimination,[],[f588])). 1.43/0.61 thf(f588,plain,( 1.43/0.61 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))), 1.43/0.61 inference(rectify,[],[f3])). 1.43/0.61 thf(f3,axiom,( 1.43/0.61 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))), 1.43/0.61 file('/export/starexec/sandbox/tmp/tmp.rz9eCeWtgq/E---3.1_29404.p',mor)). 1.43/0.61 thf(f724,plain,( 1.43/0.61 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 1.43/0.61 inference(cnf_transformation,[],[f555])). 1.43/0.61 thf(f555,plain,( 1.43/0.61 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 1.43/0.61 inference(fool_elimination,[],[f554])). 1.43/0.61 thf(f554,plain,( 1.43/0.61 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)), 1.43/0.61 inference(rectify,[],[f2])). 1.43/0.61 thf(f2,axiom,( 1.43/0.61 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)), 1.43/0.61 file('/export/starexec/sandbox/tmp/tmp.rz9eCeWtgq/E---3.1_29404.p',mnot)). 1.43/0.61 thf(f706,plain,( 1.43/0.61 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))), 1.43/0.61 inference(cnf_transformation,[],[f262])). 1.43/0.61 thf(f262,plain,( 1.43/0.61 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))), 1.43/0.61 inference(fool_elimination,[],[f261])). 1.43/0.61 thf(f261,plain,( 1.43/0.61 (mand = (^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))))), 1.43/0.61 inference(rectify,[],[f8])). 1.43/0.61 thf(f8,axiom,( 1.43/0.61 (mand = (^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))))), 1.43/0.61 file('/export/starexec/sandbox/tmp/tmp.rz9eCeWtgq/E---3.1_29404.p',mand)). 1.43/0.61 thf(f740,plain,( 1.43/0.61 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))), 1.43/0.61 inference(definition_unfolding,[],[f648,f661,f724])). 1.43/0.61 thf(f648,plain,( 1.43/0.61 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 1.43/0.61 inference(cnf_transformation,[],[f248])). 1.43/0.61 thf(f248,plain,( 1.43/0.61 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 1.43/0.61 inference(fool_elimination,[],[f247])). 1.43/0.61 thf(f247,plain,( 1.43/0.61 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)), 1.43/0.61 inference(rectify,[],[f9])). 1.43/0.61 thf(f9,axiom,( 1.43/0.61 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)), 1.43/0.61 file('/export/starexec/sandbox/tmp/tmp.rz9eCeWtgq/E---3.1_29404.p',mimplies)). 1.43/0.61 thf(f672,plain,( 1.43/0.61 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))), 1.43/0.61 inference(cnf_transformation,[],[f593])). 1.43/0.61 thf(f593,plain,( 1.43/0.61 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))), 1.43/0.61 inference(fool_elimination,[],[f592])). 1.43/0.61 thf(f592,plain,( 1.43/0.61 ((^[X0 : $i > $o, X1 : $i] : (! [X2] : (~(rel_s4 @ X1 @ X2) | (X0 @ X2)))) = mbox_s4)), 1.43/0.61 inference(rectify,[],[f32])). 1.43/0.61 thf(f32,axiom,( 1.43/0.61 ((^[X3 : $i > $o, X2 : $i] : (! [X6] : (~(rel_s4 @ X2 @ X6) | (X3 @ X6)))) = mbox_s4)), 1.43/0.61 file('/export/starexec/sandbox/tmp/tmp.rz9eCeWtgq/E---3.1_29404.p',mbox_s4)). 1.43/0.61 thf(f645,plain,( 1.43/0.61 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 1.43/0.61 inference(cnf_transformation,[],[f581])). 1.43/0.61 thf(f581,plain,( 1.43/0.61 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 1.43/0.61 inference(fool_elimination,[],[f580])). 1.43/0.61 thf(f580,plain,( 1.43/0.61 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)), 1.43/0.61 inference(rectify,[],[f27])). 1.43/0.61 thf(f27,axiom,( 1.43/0.61 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)), 1.43/0.61 file('/export/starexec/sandbox/tmp/tmp.rz9eCeWtgq/E---3.1_29404.p',mvalid)). 1.43/0.61 thf(f631,plain,( 1.43/0.61 ((~ (mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))))))) = $true)), 1.43/0.61 inference(cnf_transformation,[],[f310])). 1.43/0.61 thf(f310,plain,( 1.43/0.61 ((~ (mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))))))) = $true)), 1.43/0.61 inference(fool_elimination,[],[f309])). 1.43/0.61 thf(f309,plain,( 1.43/0.61 ~(mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))))))), 1.43/0.61 inference(rectify,[],[f76])). 1.43/0.61 thf(f76,negated_conjecture,( 1.43/0.61 ~(mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))))))), 1.43/0.61 inference(negated_conjecture,[],[f75])). 1.43/0.61 thf(f75,conjecture,( 1.43/0.61 (mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))))))), 1.43/0.61 file('/export/starexec/sandbox/tmp/tmp.rz9eCeWtgq/E---3.1_29404.p',cl5_nebula_array_0014)). 1.43/0.61 % SZS output end Proof for E---3.1_29404 1.43/0.61 % (29539)------------------------------ 1.43/0.61 % (29539)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.43/0.61 % (29539)Termination reason: Refutation 1.43/0.61 1.43/0.61 % (29539)Memory used [KB]: 7931 1.43/0.61 % (29539)Time elapsed: 0.071 s 1.43/0.61 % (29539)Instructions burned: 237 (million) 1.43/0.61 % (29539)------------------------------ 1.43/0.61 % (29539)------------------------------ 1.43/0.61 % (29511)Success in time 0.205 s 1.43/0.61 EOF