0.10/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.14 % Command : run_vampire %s %d THM 0.11/0.36 % Computer : n022.cluster.edu 0.11/0.36 % Model : x86_64 x86_64 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.36 % Memory : 8042.1875MB 0.11/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.36 % CPULimit : 1920 0.11/0.36 % WCLimit : 240 0.11/0.36 % DateTime : Wed Jul 30 06:19:34 EDT 2025 0.11/0.36 % CPUTime : 0.11/0.38 This is a THF_ problem 0.11/0.38 Running higher-order theorem proving 0.11/0.41 Running /export/starexec/sandbox/solver/bin/vampire-hol --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --print_def_sorts on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.HdbICp9eo6/E---3.1_12350.p -m 16384 -t 240 0.23/0.44 % (12460)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_12350 for (2399ds/2Mi) 0.23/0.44 % (12459)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_12350 for (2399ds/27Mi) 0.23/0.44 % (12461)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_12350 for (2399ds/2Mi) 0.23/0.44 % (12457)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_12350 for (2399ds/183Mi) 0.23/0.44 % (12462)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_12350 for (2399ds/275Mi) 0.23/0.44 % (12463)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_12350 for (2399ds/18Mi) 0.23/0.44 % (12458)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_12350 for (2399ds/4Mi) 0.23/0.44 % (12460)Instruction limit reached! 0.23/0.44 % (12460)------------------------------ 0.23/0.44 % (12460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.44 % (12460)Termination reason: Unknown 0.23/0.44 % (12460)Termination phase: shuffling 0.23/0.44 0.23/0.44 % (12461)Instruction limit reached! 0.23/0.44 % (12461)------------------------------ 0.23/0.44 % (12461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.44 % (12461)Termination reason: Unknown 0.23/0.44 % (12461)Termination phase: shuffling 0.23/0.44 0.23/0.44 % (12461)Memory used [KB]: 1279 0.23/0.44 % (12461)Time elapsed: 0.004 s 0.23/0.44 % (12461)Instructions burned: 3 (million) 0.23/0.44 % (12461)------------------------------ 0.23/0.44 % (12461)------------------------------ 0.23/0.44 % (12460)Memory used [KB]: 1279 0.23/0.44 % (12460)Time elapsed: 0.004 s 0.23/0.44 % (12460)Instructions burned: 3 (million) 0.23/0.44 % (12460)------------------------------ 0.23/0.44 % (12460)------------------------------ 0.23/0.45 % (12458)Instruction limit reached! 0.23/0.45 % (12458)------------------------------ 0.23/0.45 % (12458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.45 % (12458)Termination reason: Unknown 0.23/0.45 % (12458)Termination phase: shuffling 0.23/0.45 0.23/0.45 % (12458)Memory used [KB]: 1279 0.23/0.45 % (12458)Time elapsed: 0.004 s 0.23/0.45 % (12458)Instructions burned: 4 (million) 0.23/0.45 % (12458)------------------------------ 0.23/0.45 % (12458)------------------------------ 0.23/0.45 % (12463)Instruction limit reached! 0.23/0.45 % (12463)------------------------------ 0.23/0.45 % (12463)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.45 % (12463)Termination reason: Unknown 0.23/0.45 % (12463)Termination phase: Property scanning 0.23/0.45 0.23/0.45 % (12463)Memory used [KB]: 1407 0.23/0.45 % (12463)Time elapsed: 0.013 s 0.23/0.45 % (12463)Instructions burned: 19 (million) 0.23/0.45 % (12463)------------------------------ 0.23/0.45 % (12463)------------------------------ 0.23/0.46 % (12462)Refutation not found, incomplete strategy 0.23/0.46 % (12462)------------------------------ 0.23/0.46 % (12462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.46 % (12462)Termination reason: Refutation not found, incomplete strategy 0.23/0.46 0.23/0.46 0.23/0.46 % (12462)Memory used [KB]: 6012 0.23/0.46 % (12459)Instruction limit reached! 0.23/0.46 % (12459)------------------------------ 0.23/0.46 % (12459)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.46 % (12462)Time elapsed: 0.017 s 0.23/0.46 % (12462)Instructions burned: 26 (million) 0.23/0.46 % (12462)------------------------------ 0.23/0.46 % (12462)------------------------------ 0.23/0.46 % (12459)Termination reason: Unknown 0.23/0.46 % (12459)Termination phase: Property scanning 0.23/0.46 0.23/0.46 % (12459)Memory used [KB]: 1535 0.23/0.46 % (12459)Time elapsed: 0.018 s 0.23/0.46 % (12459)Instructions burned: 28 (million) 0.23/0.46 % (12459)------------------------------ 0.23/0.46 % (12459)------------------------------ 0.23/0.46 % (12464)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_12350 for (2399ds/3Mi) 0.23/0.46 % (12465)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_12350 for (2399ds/37Mi) 0.23/0.46 % (12466)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_12350 for (2399ds/15Mi) 0.23/0.46 % (12464)Instruction limit reached! 0.23/0.46 % (12464)------------------------------ 0.23/0.46 % (12464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.46 % (12464)Termination reason: Unknown 0.23/0.46 % (12464)Termination phase: shuffling 0.23/0.46 0.23/0.46 % (12464)Memory used [KB]: 1279 0.23/0.46 % (12464)Time elapsed: 0.004 s 0.23/0.46 % (12464)Instructions burned: 3 (million) 0.23/0.46 % (12464)------------------------------ 0.23/0.46 % (12464)------------------------------ 0.23/0.47 % (12467)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_12350 for (2399ds/3Mi) 0.23/0.47 % (12466)Instruction limit reached! 0.23/0.47 % (12466)------------------------------ 0.23/0.47 % (12466)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.47 % (12466)Termination reason: Unknown 0.23/0.47 % (12466)Termination phase: Property scanning 0.23/0.47 0.23/0.47 % (12466)Memory used [KB]: 1407 0.23/0.47 % (12466)Time elapsed: 0.011 s 0.23/0.47 % (12466)Instructions burned: 15 (million) 0.23/0.47 % (12466)------------------------------ 0.23/0.47 % (12466)------------------------------ 0.23/0.47 % (12467)Instruction limit reached! 0.23/0.47 % (12467)------------------------------ 0.23/0.47 % (12467)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.47 % (12467)Termination reason: Unknown 0.23/0.47 % (12467)Termination phase: shuffling 0.23/0.47 0.23/0.47 % (12467)Memory used [KB]: 1279 0.23/0.47 % (12467)Time elapsed: 0.004 s 0.23/0.47 % (12467)Instructions burned: 3 (million) 0.23/0.47 % (12467)------------------------------ 0.23/0.47 % (12467)------------------------------ 0.23/0.48 % (12468)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_12350 for (2399ds/1041Mi) 0.23/0.48 % (12469)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_12350 for (2399ds/7Mi) 0.23/0.48 % (12465)Instruction limit reached! 0.23/0.48 % (12465)------------------------------ 0.23/0.48 % (12465)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.48 % (12465)Termination reason: Unknown 0.23/0.48 % (12465)Termination phase: Saturation 0.23/0.48 0.23/0.48 % (12465)Memory used [KB]: 6140 0.23/0.48 % (12465)Time elapsed: 0.020 s 0.23/0.48 % (12465)Instructions burned: 37 (million) 0.23/0.48 % (12465)------------------------------ 0.23/0.48 % (12465)------------------------------ 0.23/0.48 % (12469)Instruction limit reached! 0.23/0.48 % (12469)------------------------------ 0.23/0.48 % (12469)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.48 % (12469)Termination reason: Unknown 0.23/0.48 % (12469)Termination phase: shuffling 0.23/0.48 0.23/0.48 % (12469)Memory used [KB]: 1279 0.23/0.48 % (12469)Time elapsed: 0.006 s 0.23/0.48 % (12469)Instructions burned: 7 (million) 0.23/0.48 % (12469)------------------------------ 0.23/0.48 % (12469)------------------------------ 0.23/0.48 % (12470)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_12350 for (2399ds/16Mi) 0.23/0.49 % (12471)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_12350 for (2399ds/3Mi) 0.23/0.49 % (12472)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_12350 for (2399ds/3Mi) 0.23/0.49 % (12471)Instruction limit reached! 0.23/0.49 % (12471)------------------------------ 0.23/0.49 % (12471)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.49 % (12471)Termination reason: Unknown 0.23/0.49 % (12471)Termination phase: shuffling 0.23/0.49 0.23/0.49 % (12471)Memory used [KB]: 1279 0.23/0.49 % (12471)Time elapsed: 0.004 s 0.23/0.49 % (12471)Instructions burned: 3 (million) 0.23/0.49 % (12471)------------------------------ 0.23/0.49 % (12471)------------------------------ 0.23/0.49 % (12470)Instruction limit reached! 0.23/0.49 % (12470)------------------------------ 0.23/0.49 % (12470)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.49 % (12470)Termination reason: Unknown 0.23/0.49 % (12470)Termination phase: Property scanning 0.23/0.49 0.23/0.49 % (12470)Memory used [KB]: 1407 0.23/0.49 % (12470)Time elapsed: 0.012 s 0.23/0.49 % (12470)Instructions burned: 17 (million) 0.23/0.49 % (12470)------------------------------ 0.23/0.49 % (12470)------------------------------ 0.23/0.49 % (12472)Instruction limit reached! 0.23/0.49 % (12472)------------------------------ 0.23/0.49 % (12472)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.49 % (12472)Termination reason: Unknown 0.23/0.49 % (12472)Termination phase: shuffling 0.23/0.49 0.23/0.49 % (12472)Memory used [KB]: 1279 0.23/0.49 % (12472)Time elapsed: 0.004 s 0.23/0.49 % (12472)Instructions burned: 4 (million) 0.23/0.49 % (12472)------------------------------ 0.23/0.49 % (12472)------------------------------ 0.23/0.50 % (12473)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_12350 for (2399ds/7Mi) 0.23/0.50 % (12474)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_12350 for (2399ds/3Mi) 0.23/0.50 % (12474)Instruction limit reached! 0.23/0.50 % (12474)------------------------------ 0.23/0.50 % (12474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.50 % (12474)Termination reason: Unknown 0.23/0.50 % (12474)Termination phase: shuffling 0.23/0.50 0.23/0.50 % (12474)Memory used [KB]: 1279 0.23/0.50 % (12474)Time elapsed: 0.004 s 0.23/0.50 % (12474)Instructions burned: 3 (million) 0.23/0.50 % (12474)------------------------------ 0.23/0.50 % (12474)------------------------------ 0.23/0.50 % (12473)Instruction limit reached! 0.23/0.50 % (12473)------------------------------ 0.23/0.50 % (12473)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.50 % (12473)Termination reason: Unknown 0.23/0.50 % (12473)Termination phase: shuffling 0.23/0.50 0.23/0.50 % (12473)Memory used [KB]: 1279 0.23/0.50 % (12473)Time elapsed: 0.006 s 0.23/0.50 % (12473)Instructions burned: 7 (million) 0.23/0.50 % (12473)------------------------------ 0.23/0.50 % (12473)------------------------------ 0.23/0.51 % (12477)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_12350 for (2399ds/710Mi) 0.23/0.51 % (12476)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_12350 for (2399ds/18Mi) 0.23/0.51 % (12475)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_12350 for (2399ds/4Mi) 0.23/0.51 % (12475)Instruction limit reached! 0.23/0.51 % (12475)------------------------------ 0.23/0.51 % (12475)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.51 % (12475)Termination reason: Unknown 0.23/0.51 % (12475)Termination phase: shuffling 0.23/0.51 0.23/0.51 % (12475)Memory used [KB]: 1279 0.23/0.51 % (12475)Time elapsed: 0.006 s 0.23/0.51 % (12475)Instructions burned: 5 (million) 0.23/0.51 % (12475)------------------------------ 0.23/0.51 % (12475)------------------------------ 0.23/0.52 % (12478)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_12350 for (2399ds/6Mi) 0.23/0.52 % (12476)Instruction limit reached! 0.23/0.52 % (12476)------------------------------ 0.23/0.52 % (12476)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.52 % (12476)Termination reason: Unknown 0.23/0.52 % (12476)Termination phase: Property scanning 0.23/0.52 0.23/0.52 % (12476)Memory used [KB]: 1407 0.23/0.52 % (12476)Time elapsed: 0.012 s 0.23/0.52 % (12476)Instructions burned: 18 (million) 0.23/0.52 % (12476)------------------------------ 0.23/0.52 % (12476)------------------------------ 0.23/0.52 % (12479)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_12350 for (2399ds/902Mi) 0.23/0.52 % (12478)Instruction limit reached! 0.23/0.52 % (12478)------------------------------ 0.23/0.52 % (12478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.52 % (12478)Termination reason: Unknown 0.23/0.52 % (12478)Termination phase: shuffling 0.23/0.52 0.23/0.52 % (12478)Memory used [KB]: 1279 0.23/0.52 % (12478)Time elapsed: 0.006 s 0.23/0.52 % (12478)Instructions burned: 7 (million) 0.23/0.52 % (12478)------------------------------ 0.23/0.52 % (12478)------------------------------ 0.23/0.54 % (12481)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_12350 for (2398ds/5Mi) 0.23/0.54 % (12480)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_12350 for (2398ds/21Mi) 0.23/0.54 % (12482)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_12350 for (2398ds/6Mi) 0.23/0.54 % (12481)Instruction limit reached! 0.23/0.54 % (12481)------------------------------ 0.23/0.54 % (12481)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.54 % (12481)Termination reason: Unknown 0.23/0.54 % (12481)Termination phase: shuffling 0.23/0.54 0.23/0.54 % (12481)Memory used [KB]: 1279 0.23/0.54 % (12481)Time elapsed: 0.005 s 0.23/0.54 % (12481)Instructions burned: 6 (million) 0.23/0.54 % (12481)------------------------------ 0.23/0.54 % (12481)------------------------------ 0.23/0.54 % (12482)Instruction limit reached! 0.23/0.54 % (12482)------------------------------ 0.23/0.54 % (12482)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.54 % (12482)Termination reason: Unknown 0.23/0.54 % (12482)Termination phase: shuffling 0.23/0.54 0.23/0.54 % (12482)Memory used [KB]: 1279 0.23/0.54 % (12482)Time elapsed: 0.005 s 0.23/0.54 % (12482)Instructions burned: 6 (million) 0.23/0.54 % (12482)------------------------------ 0.23/0.54 % (12482)------------------------------ 0.23/0.55 % (12479)Refutation not found, incomplete strategy 0.23/0.55 % (12479)------------------------------ 0.23/0.55 % (12479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.55 % (12479)Termination reason: Refutation not found, incomplete strategy 0.23/0.55 0.23/0.55 0.23/0.55 % (12479)Memory used [KB]: 6396 0.23/0.55 % (12479)Time elapsed: 0.029 s 0.23/0.55 % (12479)Instructions burned: 60 (million) 0.23/0.55 % (12479)------------------------------ 0.23/0.55 % (12479)------------------------------ 0.23/0.55 % (12457)Instruction limit reached! 0.23/0.55 % (12457)------------------------------ 0.23/0.55 % (12457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.55 % (12457)Termination reason: Unknown 0.23/0.55 % (12457)Termination phase: Saturation 0.23/0.55 0.23/0.55 % (12457)Memory used [KB]: 7036 0.23/0.55 % (12457)Time elapsed: 0.108 s 0.23/0.55 % (12457)Instructions burned: 184 (million) 0.23/0.55 % (12457)------------------------------ 0.23/0.55 % (12457)------------------------------ 0.23/0.55 % (12480)Instruction limit reached! 0.23/0.55 % (12480)------------------------------ 0.23/0.55 % (12480)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.55 % (12480)Termination reason: Unknown 0.23/0.55 % (12480)Termination phase: shuffling 0.23/0.55 0.23/0.55 % (12480)Memory used [KB]: 1407 0.23/0.55 % (12480)Time elapsed: 0.013 s 0.23/0.55 % (12480)Instructions burned: 21 (million) 0.23/0.55 % (12480)------------------------------ 0.23/0.55 % (12480)------------------------------ 0.23/0.56 % (12483)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_12350 for (2398ds/377Mi) 0.23/0.56 % (12484)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_12350 for (2398ds/779Mi) 0.23/0.56 % (12485)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_12350 for (2398ds/19Mi) 0.23/0.56 % (12487)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_12350 for (2398ds/17Mi) 0.23/0.56 % (12486)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_12350 for (2398ds/879Mi) 0.23/0.56 % (12485)Instruction limit reached! 0.23/0.56 % (12485)------------------------------ 0.23/0.56 % (12485)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.56 % (12485)Termination reason: Unknown 0.23/0.56 % (12485)Termination phase: Property scanning 0.23/0.56 0.23/0.56 % (12485)Memory used [KB]: 1535 0.23/0.56 % (12485)Time elapsed: 0.008 s 0.23/0.56 % (12485)Instructions burned: 22 (million) 0.23/0.56 % (12485)------------------------------ 0.23/0.56 % (12485)------------------------------ 0.23/0.57 % (12487)Instruction limit reached! 0.23/0.57 % (12487)------------------------------ 0.23/0.57 % (12487)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.57 % (12487)Termination reason: Unknown 0.23/0.57 % (12487)Termination phase: Property scanning 0.23/0.57 0.23/0.57 % (12487)Memory used [KB]: 1407 0.23/0.57 % (12487)Time elapsed: 0.008 s 0.23/0.57 % (12487)Instructions burned: 19 (million) 0.23/0.57 % (12487)------------------------------ 0.23/0.57 % (12487)------------------------------ 0.23/0.57 % (12488)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_12350 for (2398ds/3Mi) 0.23/0.58 % (12488)Instruction limit reached! 0.23/0.58 % (12488)------------------------------ 0.23/0.58 % (12488)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.58 % (12488)Termination reason: Unknown 0.23/0.58 % (12488)Termination phase: shuffling 0.23/0.58 0.23/0.58 % (12488)Memory used [KB]: 1279 0.23/0.58 % (12488)Time elapsed: 0.003 s 0.23/0.58 % (12488)Instructions burned: 4 (million) 0.23/0.58 % (12488)------------------------------ 0.23/0.58 % (12488)------------------------------ 0.23/0.58 % (12486)Refutation not found, incomplete strategy 0.23/0.58 % (12486)------------------------------ 0.23/0.58 % (12486)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.23/0.58 % (12486)Termination reason: Refutation not found, incomplete strategy 0.23/0.58 0.23/0.58 0.23/0.58 % (12486)Memory used [KB]: 6140 0.23/0.58 % (12486)Time elapsed: 0.019 s 0.23/0.58 % (12486)Instructions burned: 52 (million) 0.23/0.58 % (12486)------------------------------ 0.23/0.58 % (12486)------------------------------ 0.23/0.59 % (12490)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_12350 for (2398ds/127Mi) 1.31/0.59 % (12489)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_12350 for (2398ds/30Mi) 1.31/0.59 % (12491)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_12350 for (2398ds/100Mi) 1.31/0.60 % (12489)Instruction limit reached! 1.31/0.60 % (12489)------------------------------ 1.31/0.60 % (12489)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.31/0.60 % (12489)Termination reason: Unknown 1.31/0.60 % (12489)Termination phase: Property scanning 1.31/0.60 1.31/0.60 % (12489)Memory used [KB]: 1535 1.31/0.60 % (12489)Time elapsed: 0.011 s 1.31/0.60 % (12489)Instructions burned: 30 (million) 1.31/0.60 % (12489)------------------------------ 1.31/0.60 % (12489)------------------------------ 1.31/0.61 % (12492)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_12350 for (2398ds/3Mi) 1.31/0.61 % (12492)Instruction limit reached! 1.31/0.61 % (12492)------------------------------ 1.31/0.61 % (12492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.31/0.61 % (12492)Termination reason: Unknown 1.31/0.61 % (12492)Termination phase: shuffling 1.31/0.61 1.31/0.61 % (12492)Memory used [KB]: 1279 1.31/0.61 % (12492)Time elapsed: 0.002 s 1.31/0.61 % (12492)Instructions burned: 4 (million) 1.31/0.61 % (12492)------------------------------ 1.31/0.61 % (12492)------------------------------ 1.45/0.62 % (12493)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_12350 for (2398ds/20Mi) 1.45/0.62 % (12484)First to succeed. 1.45/0.62 % (12491)Instruction limit reached! 1.45/0.62 % (12491)------------------------------ 1.45/0.62 % (12491)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.45/0.62 % (12491)Termination reason: Unknown 1.45/0.62 % (12491)Termination phase: Saturation 1.45/0.62 1.45/0.62 % (12491)Memory used [KB]: 6652 1.45/0.62 % (12491)Time elapsed: 0.034 s 1.45/0.62 % (12491)Instructions burned: 102 (million) 1.45/0.62 % (12491)------------------------------ 1.45/0.62 % (12491)------------------------------ 1.45/0.63 % (12484)Refutation found. Thanks to Tanya! 1.45/0.63 % SZS status Theorem for E---3.1_12350 1.45/0.63 % SZS output start Proof for E---3.1_12350 1.45/0.63 thf(func_def_0, type, num: $tType). 1.45/0.63 thf(func_def_1, type, agent_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_2, type, attribute_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_3, type, before_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_4, type, believes_THFTYPE_IiooI: $i > $o > $o). 1.45/0.63 thf(func_def_6, type, considers_THFTYPE_IiooI: $i > $o > $o). 1.45/0.63 thf(func_def_7, type, contraryAttribute_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_8, type, contraryAttribute_THFTYPE_IioI: $i > $o). 1.45/0.63 thf(func_def_9, type, desires_THFTYPE_IiooI: $i > $o > $o). 1.45/0.63 thf(func_def_10, type, disjoint_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_12, type, domainSubclass_THFTYPE_IiiioI: $i > $i > $i > $o). 1.45/0.63 thf(func_def_13, type, domain_THFTYPE_IIIiioIIiioIoIiioI: (($i > $i > $o) > ($i > $i > $o) > $o) > $i > $i > $o). 1.45/0.63 thf(func_def_14, type, domain_THFTYPE_IIIiioIIiooIoIiioI: (($i > $i > $o) > ($i > $o > $o) > $o) > $i > $i > $o). 1.45/0.63 thf(func_def_15, type, domain_THFTYPE_IIiiIiioI: ($i > $i) > $i > $i > $o). 1.45/0.63 thf(func_def_16, type, domain_THFTYPE_IIiiiIiioI: ($i > $i > $i) > $i > $i > $o). 1.45/0.63 thf(func_def_17, type, domain_THFTYPE_IIiiioIiioI: ($i > $i > $i > $o) > $i > $i > $o). 1.45/0.63 thf(func_def_18, type, domain_THFTYPE_IIiioIiioI: ($i > $i > $o) > $i > $i > $o). 1.45/0.63 thf(func_def_19, type, domain_THFTYPE_IIioioIiioI: ($i > $o > $i > $o) > $i > $i > $o). 1.45/0.63 thf(func_def_20, type, domain_THFTYPE_IIiooIiioI: ($i > $o > $o) > $i > $i > $o). 1.45/0.63 thf(func_def_21, type, domain_THFTYPE_IiiioI: $i > $i > $i > $o). 1.45/0.63 thf(func_def_23, type, father_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_24, type, greaterThanOrEqualTo_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_25, type, greaterThan_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_26, type, gt_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_27, type, gtet_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_28, type, hasPurposeForAgent_THFTYPE_IioioI: $i > $o > $i > $o). 1.45/0.63 thf(func_def_29, type, hasPurpose_THFTYPE_IiooI: $i > $o > $o). 1.45/0.63 thf(func_def_30, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o). 1.45/0.63 thf(func_def_31, type, husband_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_32, type, inList_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_33, type, inScopeOfInterest_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_34, type, instance_THFTYPE_IIIiioIIiioIoIioI: (($i > $i > $o) > ($i > $i > $o) > $o) > $i > $o). 1.45/0.63 thf(func_def_35, type, instance_THFTYPE_IIIiioIiioIioI: (($i > $i > $o) > $i > $i > $o) > $i > $o). 1.45/0.63 thf(func_def_36, type, instance_THFTYPE_IIiiIioI: ($i > $i) > $i > $o). 1.45/0.63 thf(func_def_37, type, instance_THFTYPE_IIiiiIioI: ($i > $i > $i) > $i > $o). 1.45/0.63 thf(func_def_38, type, instance_THFTYPE_IIiiioIioI: ($i > $i > $i > $o) > $i > $o). 1.45/0.63 thf(func_def_39, type, instance_THFTYPE_IIiioIioI: ($i > $i > $o) > $i > $o). 1.45/0.63 thf(func_def_40, type, instance_THFTYPE_IIioioIioI: ($i > $o > $i > $o) > $i > $o). 1.45/0.63 thf(func_def_41, type, instance_THFTYPE_IIiooIioI: ($i > $o > $o) > $i > $o). 1.45/0.63 thf(func_def_42, type, instance_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_43, type, inverse_THFTYPE_IIiioIIiioIoI: ($i > $i > $o) > ($i > $i > $o) > $o). 1.45/0.63 thf(func_def_44, type, knows_THFTYPE_IiooI: $i > $o > $o). 1.45/0.63 thf(func_def_48, type, lBeginFn_THFTYPE_IiiI: $i > $i). 1.45/0.63 thf(func_def_55, type, lEndFn_THFTYPE_IiiI: $i > $i). 1.45/0.63 thf(func_def_64, type, lListFn_THFTYPE_IiiI: $i > $i). 1.45/0.63 thf(func_def_68, type, lMeasureFn_THFTYPE_IiiiI: $i > $i > $i). 1.45/0.63 thf(func_def_94, type, lWhenFn_THFTYPE_IiiI: $i > $i). 1.45/0.63 thf(func_def_97, type, lessThanOrEqualTo_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_98, type, lessThan_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_99, type, located_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_100, type, lt_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_101, type, ltet_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_102, type, meetsTemporally_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_103, type, member_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_104, type, mother_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_108, type, orientation_THFTYPE_IiiioI: $i > $i > $i > $o). 1.45/0.63 thf(func_def_109, type, parent_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_110, type, part_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_111, type, partition_THFTYPE_IiiioI: $i > $i > $i > $o). 1.45/0.63 thf(func_def_112, type, patient_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_113, type, possesses_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_114, type, range_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_115, type, relatedInternalConcept_THFTYPE_IIiioIIiioIoI: ($i > $i > $o) > ($i > $i > $o) > $o). 1.45/0.63 thf(func_def_116, type, relatedInternalConcept_THFTYPE_IIiioIIiooIoI: ($i > $i > $o) > ($i > $o > $o) > $o). 1.45/0.63 thf(func_def_117, type, relatedInternalConcept_THFTYPE_IIiooIIiioIoI: ($i > $o > $o) > ($i > $i > $o) > $o). 1.45/0.63 thf(func_def_119, type, result_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_121, type, subAttribute_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_122, type, subProcess_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_123, type, subclass_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_124, type, subrelation_THFTYPE_IIiioIIiioIoI: ($i > $i > $o) > ($i > $i > $o) > $o). 1.45/0.63 thf(func_def_125, type, subrelation_THFTYPE_IIiioIioI: ($i > $i > $o) > $i > $o). 1.45/0.63 thf(func_def_126, type, subrelation_THFTYPE_IIioIIioIoI: ($i > $o) > ($i > $o) > $o). 1.45/0.63 thf(func_def_127, type, subrelation_THFTYPE_IIiooIIiioIoI: ($i > $o > $o) > ($i > $i > $o) > $o). 1.45/0.63 thf(func_def_128, type, subrelation_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_129, type, temporalPart_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_130, type, time_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_131, type, wants_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_132, type, wife_THFTYPE_IiioI: $i > $i > $o). 1.45/0.63 thf(func_def_151, type, sK1: $i > $i). 1.45/0.63 thf(func_def_152, type, sK2: $i > $i > $i). 1.45/0.63 thf(func_def_153, type, sK3: $o > $i > $i). 1.45/0.63 thf(func_def_154, type, sK4: $i > $i). 1.45/0.63 thf(func_def_155, type, sK5: ($i > $i > $o) > $i). 1.45/0.63 thf(func_def_156, type, sK6: $i > $i > $o). 1.45/0.63 thf(func_def_157, type, sK7: $i > $i). 1.45/0.63 thf(func_def_158, type, sK8: ($i > $i > $o) > $i). 1.45/0.63 thf(func_def_159, type, sK9: ($i > $i > $o) > $i). 1.45/0.63 thf(func_def_160, type, sK10: ($i > $i > $o) > $i). 1.45/0.63 thf(func_def_161, type, sK11: $i > $o > $i). 1.45/0.63 thf(func_def_162, type, sK12: $i > $i). 1.45/0.63 thf(func_def_163, type, sK13: $i > $i). 1.45/0.63 thf(func_def_164, type, sK14: $i > $i). 1.45/0.63 thf(func_def_165, type, sK15: $i > $i). 1.45/0.63 thf(func_def_167, type, sK17: ($i > $i > $o) > $i). 1.45/0.63 thf(func_def_168, type, sK18: ($i > $i > $o) > $i). 1.45/0.63 thf(func_def_169, type, sK19: $i > $i). 1.45/0.63 thf(f2236,plain,( 1.45/0.63 $false), 1.45/0.63 inference(trivial_inequality_removal,[status(thm)],[f2235])). 1.45/0.63 thf(f2235,plain,( 1.45/0.63 ($true = $false)), 1.45/0.63 inference(forward_demodulation,[status(thm)],[f2234,f2203])). 1.45/0.63 thf(f2203,plain,( 1.45/0.63 ((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false) = $false)), 1.45/0.63 inference(superposition,[status(thm)],[f1884,f2177])). 1.45/0.63 thf(f2177,plain,( 1.45/0.63 ( ! [X0 : $i] : (((wife_THFTYPE_IiioI @ X0 @ X0) = $false)) )), 1.45/0.63 inference(trivial_inequality_removal,[status(thm)],[f2161])). 1.45/0.63 thf(f2161,plain,( 1.45/0.63 ( ! [X0 : $i] : (((wife_THFTYPE_IiioI @ X0 @ X0) = $false) | ($true = $false)) )), 1.45/0.63 inference(superposition,[status(thm)],[f1377,f1004])). 1.45/0.63 thf(f1004,plain,( 1.45/0.63 ((instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i) = $true)), 1.45/0.63 inference(cnf_transformation,[status(thm)],[f958])). 1.45/0.63 thf(f958,plain,( 1.45/0.63 ((instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i) = $true)), 1.45/0.63 inference(fool_elimination,[status(thm)],[f957])). 1.45/0.63 thf(f957,plain,( 1.45/0.63 (instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i)), 1.45/0.63 inference(rectify,[status(thm)],[f241])). 1.45/0.63 thf(f241,axiom,( 1.45/0.63 (instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i)), 1.45/0.63 file('/export/starexec/sandbox/tmp/tmp.HdbICp9eo6/E---3.1_12350.p',ax_162)). 1.45/0.63 thf(f1377,plain,( 1.45/0.63 ( ! [X2 : $i,X1 : $i > $i > $o] : (((instance_THFTYPE_IIiioIioI @ X1 @ lIrreflexiveRelation_THFTYPE_i) = $false) | ((X1 @ X2 @ X2) = $false)) )), 1.45/0.63 inference(not_proxy_clausification,[status(thm)],[f1376])). 1.45/0.63 thf(f1376,plain,( 1.45/0.63 ( ! [X2 : $i,X1 : $i > $i > $o] : (((instance_THFTYPE_IIiioIioI @ X1 @ lIrreflexiveRelation_THFTYPE_i) = $false) | ((~ (X1 @ X2 @ X2)) = $true)) )), 1.45/0.63 inference(beta_eta_normalization,[status(thm)],[f1375])). 1.45/0.63 thf(f1375,plain,( 1.45/0.63 ( ! [X2 : $i,X1 : $i > $i > $o] : (((instance_THFTYPE_IIiioIioI @ X1 @ lIrreflexiveRelation_THFTYPE_i) = $false) | ($true = ((^[Y0 : $i]: (~ (X1 @ Y0 @ Y0))) @ X2))) )), 1.45/0.63 inference(pi_clausification,[status(thm)],[f1374])). 1.45/0.63 thf(f1374,plain,( 1.45/0.63 ( ! [X1 : $i > $i > $o] : (((instance_THFTYPE_IIiioIioI @ X1 @ lIrreflexiveRelation_THFTYPE_i) = $false) | ((!! @ $i @ (^[Y0 : $i]: (~ (X1 @ Y0 @ Y0)))) = $true)) )), 1.45/0.63 inference(binary_proxy_clausification,[status(thm)],[f1372])). 1.45/0.63 thf(f1372,plain,( 1.45/0.63 ( ! [X1 : $i > $i > $o] : (((instance_THFTYPE_IIiioIioI @ X1 @ lIrreflexiveRelation_THFTYPE_i) = (!! @ $i @ (^[Y0 : $i]: (~ (X1 @ Y0 @ Y0)))))) )), 1.45/0.63 inference(binary_proxy_clausification,[status(thm)],[f1371])). 1.45/0.63 thf(f1371,plain,( 1.45/0.63 ( ! [X1 : $i > $i > $o] : ((((instance_THFTYPE_IIiioIioI @ X1 @ lIrreflexiveRelation_THFTYPE_i) = (!! @ $i @ (^[Y0 : $i]: (~ (X1 @ Y0 @ Y0))))) = $true)) )), 1.45/0.63 inference(beta_eta_normalization,[status(thm)],[f1370])). 1.45/0.63 thf(f1370,plain,( 1.45/0.63 ( ! [X1 : $i > $i > $o] : ((((^[Y0 : $i > $i > $o]: ((instance_THFTYPE_IIiioIioI @ Y0 @ lIrreflexiveRelation_THFTYPE_i) = (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1)))))) @ X1) = $true)) )), 1.45/0.63 inference(pi_clausification,[status(thm)],[f1190])). 1.45/0.63 thf(f1190,plain,( 1.45/0.63 ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: ((instance_THFTYPE_IIiioIioI @ Y0 @ lIrreflexiveRelation_THFTYPE_i) = (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1))))))) = $true)), 1.45/0.63 inference(cnf_transformation,[status(thm)],[f582])). 1.45/0.63 thf(f582,plain,( 1.45/0.63 ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: ((instance_THFTYPE_IIiioIioI @ Y0 @ lIrreflexiveRelation_THFTYPE_i) = (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1 @ Y1))))))) = $true)), 1.45/0.63 inference(fool_elimination,[status(thm)],[f581])). 1.45/0.63 thf(f581,plain,( 1.45/0.63 ! [X0 : $i > $i > $o] : ((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i) <=> ! [X1 : $i] : (~ (X0 @ X1 @ X1)))), 1.45/0.63 inference(rectify,[status(thm)],[f27])). 1.45/0.63 thf(f27,axiom,( 1.45/0.63 ! [X16 : $i > $i > $o] : ((instance_THFTYPE_IIiioIioI @ X16 @ lIrreflexiveRelation_THFTYPE_i) <=> ! [X17 : $i] : (~ (X16 @ X17 @ X17)))), 1.45/0.63 file('/export/starexec/sandbox/tmp/tmp.HdbICp9eo6/E---3.1_12350.p',ax_029)). 1.45/0.63 thf(f1884,plain,( 1.45/0.63 ( ! [X0 : $i] : (((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i)) = $false)) )), 1.45/0.63 inference(trivial_inequality_removal,[status(thm)],[f1882])). 1.45/0.63 thf(f1882,plain,( 1.45/0.63 ( ! [X0 : $i] : (($true = $false) | ((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i)) = $false)) )), 1.45/0.63 inference(superposition,[status(thm)],[f1532,f1466])). 1.45/0.63 thf(f1466,plain,( 1.45/0.63 ( ! [X2 : $o,X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ (sK11 @ X1 @ X2) @ (considers_THFTYPE_IiooI @ X1 @ X2)) = $true) | ((believes_THFTYPE_IiooI @ X1 @ X2) = $false)) )), 1.45/0.63 inference(beta_eta_normalization,[status(thm)],[f1465])). 1.45/0.63 thf(f1465,plain,( 1.45/0.63 ( ! [X2 : $o,X1 : $i] : ((((^[Y0 : $i]: (holdsDuring_THFTYPE_IiooI @ Y0 @ (considers_THFTYPE_IiooI @ X1 @ X2))) @ (sK11 @ X1 @ X2)) = $true) | ((believes_THFTYPE_IiooI @ X1 @ X2) = $false)) )), 1.45/0.63 inference(sigma_clausification,[status(thm)],[f1464])). 1.45/0.63 thf(f1464,plain,( 1.45/0.63 ( ! [X2 : $o,X1 : $i] : (((believes_THFTYPE_IiooI @ X1 @ X2) = $false) | ((?? @ $i @ (^[Y0 : $i]: (holdsDuring_THFTYPE_IiooI @ Y0 @ (considers_THFTYPE_IiooI @ X1 @ X2)))) = $true)) )), 1.45/0.63 inference(binary_proxy_clausification,[status(thm)],[f1463])). 1.45/0.63 thf(f1463,plain,( 1.45/0.63 ( ! [X2 : $o,X1 : $i] : ((((believes_THFTYPE_IiooI @ X1 @ X2) => (?? @ $i @ (^[Y0 : $i]: (holdsDuring_THFTYPE_IiooI @ Y0 @ (considers_THFTYPE_IiooI @ X1 @ X2))))) = $true)) )), 1.45/0.63 inference(beta_eta_normalization,[status(thm)],[f1462])). 1.45/0.63 thf(f1462,plain,( 1.45/0.63 ( ! [X2 : $o,X1 : $i] : ((((^[Y0 : $o]: ((believes_THFTYPE_IiooI @ X1 @ Y0) => (?? @ $i @ (^[Y1 : $i]: (holdsDuring_THFTYPE_IiooI @ Y1 @ (considers_THFTYPE_IiooI @ X1 @ Y0)))))) @ X2) = $true)) )), 1.45/0.63 inference(pi_clausification,[status(thm)],[f1461])). 1.45/0.63 thf(f1461,plain,( 1.45/0.63 ( ! [X1 : $i] : (((!! @ $o @ (^[Y0 : $o]: ((believes_THFTYPE_IiooI @ X1 @ Y0) => (?? @ $i @ (^[Y1 : $i]: (holdsDuring_THFTYPE_IiooI @ Y1 @ (considers_THFTYPE_IiooI @ X1 @ Y0))))))) = $true)) )), 1.45/0.63 inference(beta_eta_normalization,[status(thm)],[f1460])). 1.45/0.63 thf(f1460,plain,( 1.45/0.63 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: ((believes_THFTYPE_IiooI @ Y0 @ Y1) => (?? @ $i @ (^[Y2 : $i]: (holdsDuring_THFTYPE_IiooI @ Y2 @ (considers_THFTYPE_IiooI @ Y0 @ Y1)))))))) @ X1) = $true)) )), 1.45/0.63 inference(pi_clausification,[status(thm)],[f1055])). 1.45/0.63 thf(f1055,plain,( 1.45/0.63 ((!! @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: ((believes_THFTYPE_IiooI @ Y0 @ Y1) => (?? @ $i @ (^[Y2 : $i]: (holdsDuring_THFTYPE_IiooI @ Y2 @ (considers_THFTYPE_IiooI @ Y0 @ Y1))))))))) = $true)), 1.45/0.63 inference(cnf_transformation,[status(thm)],[f516])). 1.45/0.63 thf(f516,plain,( 1.45/0.63 ((!! @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: ((believes_THFTYPE_IiooI @ Y0 @ Y1) => (?? @ $i @ (^[Y2 : $i]: (holdsDuring_THFTYPE_IiooI @ Y2 @ (considers_THFTYPE_IiooI @ Y0 @ Y1))))))))) = $true)), 1.45/0.63 inference(fool_elimination,[status(thm)],[f515])). 1.45/0.63 thf(f515,plain,( 1.45/0.63 ! [X0 : $o,X1 : $i] : ((believes_THFTYPE_IiooI @ X1 @ X0) => ? [X2 : $i] : (holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ X1 @ X0)))), 1.45/0.63 inference(rectify,[status(thm)],[f205])). 1.45/0.63 thf(f205,axiom,( 1.45/0.63 ! [X38 : $o,X5 : $i] : ((believes_THFTYPE_IiooI @ X5 @ X38) => ? [X22 : $i] : (holdsDuring_THFTYPE_IiooI @ X22 @ (considers_THFTYPE_IiooI @ X5 @ X38)))), 1.45/0.63 file('/export/starexec/sandbox/tmp/tmp.HdbICp9eo6/E---3.1_12350.p',ax_058)). 1.45/0.63 thf(f1532,plain,( 1.45/0.63 ( ! [X2 : $i,X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ X2 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X1 @ lMax_THFTYPE_i))) = $false)) )), 1.45/0.63 inference(beta_eta_normalization,[status(thm)],[f1531])). 1.45/0.63 thf(f1531,plain,( 1.45/0.63 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (holdsDuring_THFTYPE_IiooI @ Y0 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X1 @ lMax_THFTYPE_i)))) @ X2) = $false)) )), 1.45/0.63 inference(pi_clausification,[status(thm)],[f1530])). 1.45/0.63 thf(f1530,plain,( 1.45/0.63 ( ! [X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: (holdsDuring_THFTYPE_IiooI @ Y0 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X1 @ lMax_THFTYPE_i))))) = $false)) )), 1.45/0.63 inference(not_proxy_clausification,[status(thm)],[f1529])). 1.45/0.63 thf(f1529,plain,( 1.45/0.63 ( ! [X1 : $i] : (((~ (?? @ $i @ (^[Y0 : $i]: (holdsDuring_THFTYPE_IiooI @ Y0 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X1 @ lMax_THFTYPE_i)))))) = $true)) )), 1.45/0.63 inference(beta_eta_normalization,[status(thm)],[f1528])). 1.45/0.63 thf(f1528,plain,( 1.45/0.63 ( ! [X1 : $i] : ((((^[Y0 : $i]: (~ (?? @ $i @ (^[Y1 : $i]: (holdsDuring_THFTYPE_IiooI @ Y1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ Y0 @ lMax_THFTYPE_i))))))) @ X1) = $true)) )), 1.45/0.63 inference(pi_clausification,[status(thm)],[f990])). 1.45/0.63 thf(f990,plain,( 1.45/0.63 ((!! @ $i @ (^[Y0 : $i]: (~ (?? @ $i @ (^[Y1 : $i]: (holdsDuring_THFTYPE_IiooI @ Y1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ Y0 @ lMax_THFTYPE_i)))))))) = $true)), 1.45/0.63 inference(cnf_transformation,[status(thm)],[f574])). 1.45/0.63 thf(f574,plain,( 1.45/0.63 ((!! @ $i @ (^[Y0 : $i]: (~ (?? @ $i @ (^[Y1 : $i]: (holdsDuring_THFTYPE_IiooI @ Y1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ Y0 @ lMax_THFTYPE_i)))))))) = $true)), 1.45/0.63 inference(fool_elimination,[status(thm)],[f573])). 1.45/0.63 thf(f573,plain,( 1.45/0.63 ! [X0 : $i] : (~ ? [X1 : $i] : (holdsDuring_THFTYPE_IiooI @ X1 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X0 @ lMax_THFTYPE_i))))), 1.45/0.63 inference(rectify,[status(thm)],[f129])). 1.45/0.63 thf(f129,axiom,( 1.45/0.63 ! [X29 : $i] : (~ ? [X19 : $i] : (holdsDuring_THFTYPE_IiooI @ X19 @ (considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ (wife_THFTYPE_IiioI @ X29 @ lMax_THFTYPE_i))))), 1.45/0.63 file('/export/starexec/sandbox/tmp/tmp.HdbICp9eo6/E---3.1_12350.p',ax_089)). 1.45/0.63 thf(f2234,plain,( 1.45/0.63 ((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false) = $true)), 1.45/0.63 inference(superposition,[status(thm)],[f1369,f2172])). 1.45/0.63 thf(f2172,plain,( 1.45/0.63 ( ! [X0 : $i] : (((husband_THFTYPE_IiioI @ X0 @ X0) = $false)) )), 1.45/0.63 inference(trivial_inequality_removal,[status(thm)],[f2165])). 1.45/0.63 thf(f2165,plain,( 1.45/0.63 ( ! [X0 : $i] : (($true = $false) | ((husband_THFTYPE_IiioI @ X0 @ X0) = $false)) )), 1.45/0.63 inference(superposition,[status(thm)],[f1018,f1377])). 1.45/0.63 thf(f1018,plain,( 1.45/0.63 ((instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i) = $true)), 1.45/0.63 inference(cnf_transformation,[status(thm)],[f638])). 1.45/0.63 thf(f638,plain,( 1.45/0.63 ((instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i) = $true)), 1.45/0.63 inference(fool_elimination,[status(thm)],[f637])). 1.45/0.63 thf(f637,plain,( 1.45/0.63 (instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i)), 1.45/0.63 inference(rectify,[status(thm)],[f301])). 1.45/0.63 thf(f301,axiom,( 1.45/0.63 (instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i)), 1.45/0.63 file('/export/starexec/sandbox/tmp/tmp.HdbICp9eo6/E---3.1_12350.p',ax_267)). 1.45/0.63 thf(f1369,plain,( 1.45/0.63 ( ! [X1 : $i] : (((believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X1)) = $true)) )), 1.45/0.63 inference(not_proxy_clausification,[status(thm)],[f1368])). 1.45/0.63 thf(f1368,plain,( 1.45/0.63 ( ! [X1 : $i] : (($false = (~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X1))))) )), 1.45/0.63 inference(beta_eta_normalization,[status(thm)],[f1367])). 1.45/0.63 thf(f1367,plain,( 1.45/0.63 ( ! [X1 : $i] : ((((^[Y0 : $i]: (~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ Y0)))) @ X1) = $false)) )), 1.45/0.63 inference(pi_clausification,[status(thm)],[f1366])). 1.45/0.63 thf(f1366,plain,( 1.45/0.63 ((?? @ $i @ (^[Y0 : $i]: (~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ Y0))))) = $false)), 1.45/0.63 inference(not_proxy_clausification,[status(thm)],[f1217])). 1.45/0.63 thf(f1217,plain,( 1.45/0.63 ((~ (?? @ $i @ (^[Y0 : $i]: (~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ Y0)))))) = $true)), 1.45/0.63 inference(cnf_transformation,[status(thm)],[f814])). 1.45/0.63 thf(f814,plain,( 1.45/0.63 ((~ (?? @ $i @ (^[Y0 : $i]: (~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ Y0)))))) = $true)), 1.45/0.63 inference(fool_elimination,[status(thm)],[f813])). 1.45/0.63 thf(f813,plain,( 1.45/0.63 ~? [X0 : $i] : (~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0)))), 1.45/0.63 inference(rectify,[status(thm)],[f35])). 1.45/0.63 thf(f35,negated_conjecture,( 1.45/0.63 ~? [X19 : $i] : (~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X19)))), 1.45/0.63 inference(negated_conjecture,[status(cth)],[f34])). 1.45/0.63 thf(f34,conjecture,( 1.45/0.63 ? [X19 : $i] : (~ (believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ (husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X19)))), 1.45/0.63 file('/export/starexec/sandbox/tmp/tmp.HdbICp9eo6/E---3.1_12350.p',con)). 1.45/0.63 % SZS output end Proof for E---3.1_12350 1.45/0.63 % (12484)------------------------------ 1.45/0.63 % (12484)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.45/0.63 % (12484)Termination reason: Refutation 1.45/0.63 1.45/0.63 % (12484)Memory used [KB]: 7036 1.45/0.63 % (12484)Time elapsed: 0.068 s 1.45/0.63 % (12484)Instructions burned: 194 (million) 1.45/0.63 % (12484)------------------------------ 1.45/0.63 % (12484)------------------------------ 1.45/0.63 % (12456)Success in time 0.206 s 1.45/0.63 EOF