0.02/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n025.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 : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 02:10:49 EDT 2025 0.12/0.33 % CPUTime : 0.12/0.35 This is a THF_ problem 0.12/0.35 Running higher-order theorem proving 0.21/0.40 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.oBbMwQMzRT/E---3.1_15190.p -m 16384 -t 240 0.21/0.44 % (15301)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_15190 for (2399ds/2Mi) 0.21/0.44 % (15300)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_15190 for (2399ds/2Mi) 0.21/0.44 % (15298)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_15190 for (2399ds/4Mi) 0.21/0.44 % (15299)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_15190 for (2399ds/27Mi) 0.21/0.44 % (15297)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_15190 for (2399ds/183Mi) 0.21/0.44 % (15302)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_15190 for (2399ds/275Mi) 0.21/0.44 % (15303)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_15190 for (2399ds/18Mi) 0.21/0.45 % (15300)Instruction limit reached! 0.21/0.45 % (15300)------------------------------ 0.21/0.45 % (15300)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.45 % (15300)Termination reason: Unknown 0.21/0.45 % (15300)Termination phase: shuffling 0.21/0.45 % (15301)Instruction limit reached! 0.21/0.45 % (15301)------------------------------ 0.21/0.45 % (15301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.45 % (15301)Termination reason: Unknown 0.21/0.45 % (15301)Termination phase: shuffling 0.21/0.45 0.21/0.45 % (15301)Memory used [KB]: 1407 0.21/0.45 % (15301)Time elapsed: 0.004 s 0.21/0.45 % (15301)Instructions burned: 3 (million) 0.21/0.45 % (15301)------------------------------ 0.21/0.45 % (15301)------------------------------ 0.21/0.45 0.21/0.45 % (15300)Memory used [KB]: 1407 0.21/0.45 % (15300)Time elapsed: 0.004 s 0.21/0.45 % (15300)Instructions burned: 2 (million) 0.21/0.45 % (15300)------------------------------ 0.21/0.45 % (15300)------------------------------ 0.26/0.45 % (15298)Instruction limit reached! 0.26/0.45 % (15298)------------------------------ 0.26/0.45 % (15298)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.45 % (15298)Termination reason: Unknown 0.26/0.45 % (15298)Termination phase: shuffling 0.26/0.45 0.26/0.45 % (15298)Memory used [KB]: 1535 0.26/0.45 % (15298)Time elapsed: 0.004 s 0.26/0.45 % (15298)Instructions burned: 4 (million) 0.26/0.45 % (15298)------------------------------ 0.26/0.45 % (15298)------------------------------ 0.26/0.46 % (15303)Instruction limit reached! 0.26/0.46 % (15303)------------------------------ 0.26/0.46 % (15303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.46 % (15303)Termination reason: Unknown 0.26/0.46 % (15303)Termination phase: shuffling 0.26/0.46 0.26/0.46 % (15303)Memory used [KB]: 1791 0.26/0.46 % (15303)Time elapsed: 0.013 s 0.26/0.46 % (15303)Instructions burned: 18 (million) 0.26/0.46 % (15303)------------------------------ 0.26/0.46 % (15303)------------------------------ 0.26/0.46 % (15299)Instruction limit reached! 0.26/0.46 % (15299)------------------------------ 0.26/0.46 % (15299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.46 % (15299)Termination reason: Unknown 0.26/0.46 % (15299)Termination phase: shuffling 0.26/0.46 0.26/0.46 % (15299)Memory used [KB]: 1918 0.26/0.46 % (15299)Time elapsed: 0.019 s 0.26/0.46 % (15299)Instructions burned: 28 (million) 0.26/0.46 % (15299)------------------------------ 0.26/0.46 % (15299)------------------------------ 0.26/0.46 % (15306)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_15190 for (2399ds/15Mi) 0.26/0.46 % (15304)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_15190 for (2399ds/3Mi) 0.26/0.46 % (15305)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_15190 for (2399ds/37Mi) 0.26/0.47 % (15304)Instruction limit reached! 0.26/0.47 % (15304)------------------------------ 0.26/0.47 % (15304)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.47 % (15304)Termination reason: Unknown 0.26/0.47 % (15304)Termination phase: shuffling 0.26/0.47 0.26/0.47 % (15304)Memory used [KB]: 1535 0.26/0.47 % (15304)Time elapsed: 0.004 s 0.26/0.47 % (15304)Instructions burned: 3 (million) 0.26/0.47 % (15304)------------------------------ 0.26/0.47 % (15304)------------------------------ 0.26/0.47 % (15306)Instruction limit reached! 0.26/0.47 % (15306)------------------------------ 0.26/0.47 % (15306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.47 % (15306)Termination reason: Unknown 0.26/0.47 % (15306)Termination phase: shuffling 0.26/0.47 0.26/0.47 % (15306)Memory used [KB]: 1791 0.26/0.47 % (15306)Time elapsed: 0.009 s 0.26/0.47 % (15306)Instructions burned: 16 (million) 0.26/0.47 % (15306)------------------------------ 0.26/0.47 % (15306)------------------------------ 0.26/0.47 % (15307)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_15190 for (2399ds/3Mi) 0.26/0.47 % (15307)Instruction limit reached! 0.26/0.47 % (15307)------------------------------ 0.26/0.47 % (15307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.47 % (15307)Termination reason: Unknown 0.26/0.47 % (15307)Termination phase: shuffling 0.26/0.47 0.26/0.47 % (15307)Memory used [KB]: 1407 0.26/0.47 % (15307)Time elapsed: 0.003 s 0.26/0.47 % (15307)Instructions burned: 3 (million) 0.26/0.47 % (15307)------------------------------ 0.26/0.47 % (15307)------------------------------ 0.26/0.48 % (15308)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_15190 for (2399ds/1041Mi) 0.26/0.48 % (15305)Instruction limit reached! 0.26/0.48 % (15305)------------------------------ 0.26/0.48 % (15305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.48 % (15305)Termination reason: Unknown 0.26/0.48 % (15305)Termination phase: shuffling 0.26/0.48 0.26/0.48 % (15305)Memory used [KB]: 2302 0.26/0.48 % (15305)Time elapsed: 0.021 s 0.26/0.48 % (15305)Instructions burned: 37 (million) 0.26/0.48 % (15305)------------------------------ 0.26/0.48 % (15305)------------------------------ 0.26/0.48 % (15309)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_15190 for (2399ds/7Mi) 0.26/0.49 % (15310)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_15190 for (2399ds/16Mi) 0.26/0.49 % (15309)Instruction limit reached! 0.26/0.49 % (15309)------------------------------ 0.26/0.49 % (15309)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.49 % (15309)Termination reason: Unknown 0.26/0.49 % (15309)Termination phase: shuffling 0.26/0.49 0.26/0.49 % (15309)Memory used [KB]: 1535 0.26/0.49 % (15309)Time elapsed: 0.006 s 0.26/0.49 % (15309)Instructions burned: 7 (million) 0.26/0.49 % (15309)------------------------------ 0.26/0.49 % (15309)------------------------------ 0.26/0.49 % (15311)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_15190 for (2399ds/3Mi) 0.26/0.49 % (15311)Instruction limit reached! 0.26/0.49 % (15311)------------------------------ 0.26/0.49 % (15311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.49 % (15311)Termination reason: Unknown 0.26/0.49 % (15311)Termination phase: shuffling 0.26/0.49 0.26/0.49 % (15311)Memory used [KB]: 1535 0.26/0.49 % (15311)Time elapsed: 0.003 s 0.26/0.49 % (15311)Instructions burned: 5 (million) 0.26/0.49 % (15311)------------------------------ 0.26/0.49 % (15311)------------------------------ 0.26/0.49 % (15310)Instruction limit reached! 0.26/0.49 % (15310)------------------------------ 0.26/0.49 % (15310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.49 % (15310)Termination reason: Unknown 0.26/0.49 % (15310)Termination phase: shuffling 0.26/0.49 0.26/0.49 % (15310)Memory used [KB]: 1791 0.26/0.49 % (15310)Time elapsed: 0.010 s 0.26/0.49 % (15310)Instructions burned: 17 (million) 0.26/0.49 % (15310)------------------------------ 0.26/0.49 % (15310)------------------------------ 0.26/0.50 % (15314)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_15190 for (2399ds/3Mi) 0.26/0.50 % (15312)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_15190 for (2399ds/3Mi) 0.26/0.50 % (15314)Instruction limit reached! 0.26/0.50 % (15314)------------------------------ 0.26/0.50 % (15314)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.50 % (15314)Termination reason: Unknown 0.26/0.50 % (15314)Termination phase: shuffling 0.26/0.50 0.26/0.50 % (15314)Memory used [KB]: 1535 0.26/0.50 % (15314)Time elapsed: 0.003 s 0.26/0.50 % (15314)Instructions burned: 4 (million) 0.26/0.50 % (15314)------------------------------ 0.26/0.50 % (15314)------------------------------ 0.26/0.50 % (15312)Instruction limit reached! 0.26/0.50 % (15312)------------------------------ 0.26/0.50 % (15312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.50 % (15312)Termination reason: Unknown 0.26/0.50 % (15312)Termination phase: shuffling 0.26/0.50 0.26/0.50 % (15312)Memory used [KB]: 1535 0.26/0.50 % (15312)Time elapsed: 0.004 s 0.26/0.50 % (15312)Instructions burned: 3 (million) 0.26/0.50 % (15312)------------------------------ 0.26/0.50 % (15312)------------------------------ 0.26/0.51 % (15313)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_15190 for (2399ds/7Mi) 0.26/0.51 % (15313)Instruction limit reached! 0.26/0.51 % (15313)------------------------------ 0.26/0.51 % (15313)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.51 % (15313)Termination reason: Unknown 0.26/0.51 % (15313)Termination phase: shuffling 0.26/0.51 0.26/0.51 % (15313)Memory used [KB]: 1535 0.26/0.51 % (15313)Time elapsed: 0.006 s 0.26/0.51 % (15313)Instructions burned: 7 (million) 0.26/0.51 % (15313)------------------------------ 0.26/0.51 % (15313)------------------------------ 0.26/0.51 % (15316)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_15190 for (2399ds/18Mi) 0.26/0.51 % (15315)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_15190 for (2399ds/4Mi) 0.26/0.51 % (15315)Instruction limit reached! 0.26/0.51 % (15315)------------------------------ 0.26/0.51 % (15315)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.51 % (15315)Termination reason: Unknown 0.26/0.51 % (15315)Termination phase: shuffling 0.26/0.51 0.26/0.51 % (15315)Memory used [KB]: 1535 0.26/0.51 % (15315)Time elapsed: 0.005 s 0.26/0.51 % (15315)Instructions burned: 5 (million) 0.26/0.51 % (15315)------------------------------ 0.26/0.51 % (15315)------------------------------ 0.26/0.52 % (15316)Instruction limit reached! 0.26/0.52 % (15316)------------------------------ 0.26/0.52 % (15316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.52 % (15316)Termination reason: Unknown 0.26/0.52 % (15316)Termination phase: shuffling 0.26/0.52 0.26/0.52 % (15316)Memory used [KB]: 1791 0.26/0.52 % (15316)Time elapsed: 0.008 s 0.26/0.52 % (15316)Instructions burned: 19 (million) 0.26/0.52 % (15316)------------------------------ 0.26/0.52 % (15316)------------------------------ 0.26/0.52 % (15317)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_15190 for (2399ds/710Mi) 0.26/0.53 % (15318)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_15190 for (2398ds/6Mi) 0.26/0.53 % (15320)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_15190 for (2398ds/21Mi) 0.26/0.53 % (15319)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_15190 for (2398ds/902Mi) 0.26/0.53 % (15320)Instruction limit reached! 0.26/0.53 % (15320)------------------------------ 0.26/0.53 % (15320)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.53 % (15320)Termination reason: Unknown 0.26/0.53 % (15320)Termination phase: shuffling 0.26/0.53 0.26/0.54 % (15320)Memory used [KB]: 1791 0.26/0.54 % (15320)Time elapsed: 0.009 s 0.26/0.54 % (15320)Instructions burned: 21 (million) 0.26/0.54 % (15320)------------------------------ 0.26/0.54 % (15320)------------------------------ 0.26/0.54 % (15297)Instruction limit reached! 0.26/0.54 % (15297)------------------------------ 0.26/0.54 % (15297)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.54 % (15297)Termination reason: Unknown 0.26/0.54 % (15297)Termination phase: Saturation 0.26/0.54 0.26/0.54 % (15297)Memory used [KB]: 7419 0.26/0.54 % (15297)Time elapsed: 0.095 s 0.26/0.54 % (15297)Instructions burned: 183 (million) 0.26/0.54 % (15297)------------------------------ 0.26/0.54 % (15297)------------------------------ 0.26/0.55 % (15321)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_15190 for (2398ds/5Mi) 0.26/0.55 % (15318)Instruction limit reached! 0.26/0.55 % (15318)------------------------------ 0.26/0.55 % (15318)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.55 % (15318)Termination reason: Unknown 0.26/0.55 % (15318)Termination phase: shuffling 0.26/0.55 0.26/0.55 % (15318)Memory used [KB]: 1535 0.26/0.55 % (15318)Time elapsed: 0.007 s 0.26/0.55 % (15318)Instructions burned: 7 (million) 0.26/0.55 % (15318)------------------------------ 0.26/0.55 % (15318)------------------------------ 1.02/0.55 % (15321)Instruction limit reached! 1.02/0.55 % (15321)------------------------------ 1.02/0.55 % (15321)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.02/0.55 % (15321)Termination reason: Unknown 1.02/0.55 % (15321)Termination phase: shuffling 1.02/0.55 1.02/0.55 % (15321)Memory used [KB]: 1535 1.02/0.55 % (15321)Time elapsed: 0.004 s 1.02/0.55 % (15321)Instructions burned: 7 (million) 1.02/0.55 % (15321)------------------------------ 1.02/0.55 % (15321)------------------------------ 1.02/0.56 % (15322)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_15190 for (2398ds/6Mi) 1.02/0.56 % (15324)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_15190 for (2398ds/779Mi) 1.02/0.56 % (15322)Instruction limit reached! 1.02/0.56 % (15322)------------------------------ 1.02/0.56 % (15322)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.02/0.56 % (15322)Termination reason: Unknown 1.02/0.56 % (15322)Termination phase: shuffling 1.02/0.56 1.02/0.56 % (15322)Memory used [KB]: 1535 1.02/0.56 % (15322)Time elapsed: 0.006 s 1.02/0.56 % (15322)Instructions burned: 7 (million) 1.02/0.56 % (15322)------------------------------ 1.02/0.56 % (15322)------------------------------ 1.02/0.56 % (15323)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_15190 for (2398ds/377Mi) 1.14/0.58 % (15325)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_15190 for (2398ds/19Mi) 1.14/0.58 % (15325)Instruction limit reached! 1.14/0.58 % (15325)------------------------------ 1.14/0.58 % (15325)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.14/0.58 % (15325)Termination reason: Unknown 1.14/0.58 % (15325)Termination phase: shuffling 1.14/0.58 1.14/0.58 % (15325)Memory used [KB]: 1918 1.14/0.58 % (15325)Time elapsed: 0.009 s 1.14/0.58 % (15325)Instructions burned: 20 (million) 1.14/0.58 % (15325)------------------------------ 1.14/0.58 % (15325)------------------------------ 1.14/0.58 % (15302)Instruction limit reached! 1.14/0.58 % (15302)------------------------------ 1.14/0.58 % (15302)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.14/0.58 % (15302)Termination reason: Unknown 1.14/0.58 % (15302)Termination phase: Saturation 1.14/0.58 1.14/0.58 % (15302)Memory used [KB]: 7547 1.14/0.58 % (15302)Time elapsed: 0.141 s 1.14/0.58 % (15302)Instructions burned: 278 (million) 1.14/0.58 % (15302)------------------------------ 1.14/0.58 % (15302)------------------------------ 1.14/0.59 % (15326)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_15190 for (2398ds/879Mi) 1.14/0.59 % (15327)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_15190 for (2398ds/17Mi) 1.14/0.60 % (15327)Instruction limit reached! 1.14/0.60 % (15327)------------------------------ 1.14/0.60 % (15327)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.14/0.60 % (15327)Termination reason: Unknown 1.14/0.60 % (15327)Termination phase: shuffling 1.14/0.60 1.14/0.60 % (15327)Memory used [KB]: 1791 1.14/0.60 % (15327)Time elapsed: 0.008 s 1.14/0.60 % (15327)Instructions burned: 18 (million) 1.14/0.60 % (15327)------------------------------ 1.14/0.60 % (15327)------------------------------ 1.14/0.61 % (15328)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_15190 for (2398ds/3Mi) 1.14/0.61 % (15328)Instruction limit reached! 1.14/0.61 % (15328)------------------------------ 1.14/0.61 % (15328)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.14/0.61 % (15328)Termination reason: Unknown 1.14/0.61 % (15328)Termination phase: shuffling 1.14/0.61 1.14/0.61 % (15328)Memory used [KB]: 1535 1.14/0.61 % (15328)Time elapsed: 0.003 s 1.14/0.61 % (15328)Instructions burned: 3 (million) 1.14/0.61 % (15328)------------------------------ 1.14/0.61 % (15328)------------------------------ 1.14/0.62 % (15329)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_15190 for (2397ds/30Mi) 1.42/0.63 % (15329)Instruction limit reached! 1.42/0.63 % (15329)------------------------------ 1.42/0.63 % (15329)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.42/0.63 % (15329)Termination reason: Unknown 1.42/0.63 % (15329)Termination phase: shuffling 1.42/0.63 1.42/0.63 % (15329)Memory used [KB]: 2046 1.42/0.63 % (15329)Time elapsed: 0.012 s 1.42/0.63 % (15329)Instructions burned: 30 (million) 1.42/0.63 % (15329)------------------------------ 1.42/0.63 % (15329)------------------------------ 1.42/0.64 % (15326)First to succeed. 1.42/0.64 % (15330)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_15190 for (2397ds/127Mi) 1.42/0.64 % (15326)Refutation found. Thanks to Tanya! 1.42/0.64 % SZS status Theorem for E---3.1_15190 1.42/0.64 % SZS output start Proof for E---3.1_15190 1.42/0.64 thf(type_def_5, type, set_nat_nat_nat_nat3: $tType). 1.42/0.64 thf(type_def_6, type, set_se1657353at_nat: $tType). 1.42/0.64 thf(type_def_8, type, set_nat_nat_nat2: $tType). 1.42/0.64 thf(type_def_9, type, set_set_nat_nat_nat2: $tType). 1.42/0.64 thf(type_def_10, type, set_nat_nat_nat: $tType). 1.42/0.64 thf(type_def_11, type, set_set_nat_nat_nat: $tType). 1.42/0.64 thf(type_def_12, type, set_nat_nat: $tType). 1.42/0.64 thf(type_def_13, type, set_set_nat_nat: $tType). 1.42/0.64 thf(type_def_14, type, set_nat: $tType). 1.42/0.64 thf(type_def_15, type, set_set_nat: $tType). 1.42/0.64 thf(type_def_16, type, set_nat_nat_nat_nat5: $tType). 1.42/0.64 thf(type_def_17, type, set_nat_nat_nat_nat4: $tType). 1.42/0.64 thf(type_def_18, type, set_na1201295426at_nat: $tType). 1.42/0.64 thf(type_def_19, type, set_na1064332610at_nat: $tType). 1.42/0.64 thf(type_def_20, type, set_nat_nat_nat_nat2: $tType). 1.42/0.64 thf(type_def_21, type, set_nat_nat_nat_nat: $tType). 1.42/0.64 thf(type_def_22, type, nat: $tType). 1.42/0.64 thf(func_def_0, type, set_na1064332610at_nat: $tType). 1.42/0.64 thf(func_def_1, type, set_na1201295426at_nat: $tType). 1.42/0.64 thf(func_def_2, type, set_se1657353at_nat: $tType). 1.42/0.64 thf(func_def_3, type, set_nat_nat_nat_nat: $tType). 1.42/0.64 thf(func_def_4, type, set_nat_nat_nat_nat2: $tType). 1.42/0.64 thf(func_def_5, type, set_nat_nat_nat_nat3: $tType). 1.42/0.64 thf(func_def_6, type, set_nat_nat_nat_nat4: $tType). 1.42/0.64 thf(func_def_7, type, set_nat_nat_nat_nat5: $tType). 1.42/0.64 thf(func_def_8, type, set_set_nat_nat_nat: $tType). 1.42/0.64 thf(func_def_9, type, set_set_nat_nat_nat2: $tType). 1.42/0.64 thf(func_def_10, type, set_nat_nat_nat: $tType). 1.42/0.64 thf(func_def_11, type, set_nat_nat_nat2: $tType). 1.42/0.64 thf(func_def_12, type, set_set_nat_nat: $tType). 1.42/0.64 thf(func_def_13, type, set_nat_nat: $tType). 1.42/0.64 thf(func_def_14, type, set_set_nat: $tType). 1.42/0.64 thf(func_def_15, type, set_nat: $tType). 1.42/0.64 thf(func_def_16, type, nat: $tType). 1.42/0.64 thf(func_def_17, type, finite252967095at_nat: set_nat_nat_nat_nat3 > set_se1657353at_nat). 1.42/0.64 thf(func_def_18, type, finite1633036872at_nat: set_nat_nat_nat2 > set_set_nat_nat_nat2). 1.42/0.64 thf(func_def_19, type, finite90785608at_nat: set_nat_nat_nat > set_set_nat_nat_nat). 1.42/0.64 thf(func_def_20, type, finite_Fpow_nat_nat: set_nat_nat > set_set_nat_nat). 1.42/0.64 thf(func_def_21, type, finite_Fpow_nat: set_nat > set_set_nat). 1.42/0.64 thf(func_def_22, type, finite1526199988at_nat: set_nat_nat_nat_nat5 > $o). 1.42/0.64 thf(func_def_23, type, finite2081887156at_nat: set_nat_nat_nat_nat4 > $o). 1.42/0.64 thf(func_def_24, type, finite1090277411at_nat: set_na1201295426at_nat > $o). 1.42/0.64 thf(func_def_25, type, finite1397812515at_nat: set_na1064332610at_nat > $o). 1.42/0.64 thf(func_def_26, type, finite1064868788at_nat: set_nat_nat_nat_nat3 > $o). 1.42/0.64 thf(func_def_27, type, finite1440337093at_nat: set_nat_nat_nat2 > $o). 1.42/0.64 thf(func_def_28, type, finite584233140at_nat: set_nat_nat_nat_nat2 > $o). 1.42/0.64 thf(func_def_29, type, finite891768244at_nat: set_nat_nat_nat_nat > $o). 1.42/0.64 thf(func_def_30, type, finite2045569477at_nat: set_nat_nat_nat > $o). 1.42/0.64 thf(func_def_31, type, finite570312790at_nat: set_nat_nat > $o). 1.42/0.64 thf(func_def_32, type, finite_finite_nat: set_nat > $o). 1.42/0.64 thf(func_def_33, type, finite547180394at_nat: set_se1657353at_nat > $o). 1.42/0.64 thf(func_def_34, type, finite1977496699at_nat: set_set_nat_nat_nat2 > $o). 1.42/0.64 thf(func_def_35, type, finite137548155at_nat: set_set_nat_nat_nat > $o). 1.42/0.64 thf(func_def_36, type, finite604103692at_nat: set_set_nat_nat > $o). 1.42/0.64 thf(func_def_37, type, finite2012248349et_nat: set_set_nat > $o). 1.42/0.64 thf(func_def_38, type, one_one_nat: nat). 1.42/0.64 thf(func_def_39, type, plus_plus_nat: nat > nat > nat). 1.42/0.64 thf(func_def_40, type, zero_zero_nat: nat). 1.42/0.64 thf(func_def_41, type, number1551313001itions: (nat > nat) > nat > $o). 1.42/0.64 thf(func_def_42, type, ord_less_nat: nat > nat > $o). 1.42/0.64 thf(func_def_43, type, ord_less_set_nat_nat: set_nat_nat > set_nat_nat > $o). 1.42/0.64 thf(func_def_44, type, ord_le2059018749at_nat: ((nat > nat) > nat > nat) > ((nat > nat) > nat > nat) > $o). 1.42/0.64 thf(func_def_45, type, ord_le2026740592_nat_o: ((nat > nat) > $o) > ((nat > nat) > $o) > $o). 1.42/0.64 thf(func_def_46, type, ord_le809907342at_nat: ((nat > nat) > nat) > ((nat > nat) > nat) > $o). 1.42/0.64 thf(func_def_47, type, ord_le1415139726at_nat: (nat > nat > nat) > (nat > nat > nat) > $o). 1.42/0.64 thf(func_def_48, type, ord_less_eq_nat_o: (nat > $o) > (nat > $o) > $o). 1.42/0.64 thf(func_def_49, type, ord_less_eq_nat_nat: (nat > nat) > (nat > nat) > $o). 1.42/0.64 thf(func_def_50, type, ord_less_eq_nat: nat > nat > $o). 1.42/0.64 thf(func_def_51, type, ord_le2040082867at_nat: set_nat_nat_nat_nat3 > set_nat_nat_nat_nat3 > $o). 1.42/0.64 thf(func_def_52, type, ord_le633272388at_nat: set_nat_nat_nat2 > set_nat_nat_nat2 > $o). 1.42/0.64 thf(func_def_53, type, ord_le940807492at_nat: set_nat_nat_nat > set_nat_nat_nat > $o). 1.42/0.64 thf(func_def_54, type, ord_le1415039317at_nat: set_nat_nat > set_nat_nat > $o). 1.42/0.64 thf(func_def_55, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 1.42/0.64 thf(func_def_56, type, collec2071977458at_nat: ((((nat > nat) > nat) > nat) > $o) > set_nat_nat_nat_nat5). 1.42/0.64 thf(func_def_57, type, collec480180978at_nat: (((nat > nat > nat) > nat) > $o) > set_nat_nat_nat_nat4). 1.42/0.64 thf(func_def_58, type, collec6783585at_nat: (((nat > nat) > (nat > nat) > nat) > $o) > set_na1201295426at_nat). 1.42/0.64 thf(func_def_59, type, collec314318689at_nat: (((nat > nat) > nat > nat > nat) > $o) > set_na1064332610at_nat). 1.42/0.64 thf(func_def_60, type, collec1610646258at_nat: (((nat > nat) > nat > nat) > $o) > set_nat_nat_nat_nat3). 1.42/0.64 thf(func_def_61, type, collect_nat_nat_nat: (((nat > nat) > nat) > $o) > set_nat_nat_nat2). 1.42/0.64 thf(func_def_62, type, collec1130010610at_nat: ((nat > (nat > nat) > nat) > $o) > set_nat_nat_nat_nat2). 1.42/0.64 thf(func_def_63, type, collec1437545714at_nat: ((nat > nat > nat > nat) > $o) > set_nat_nat_nat_nat). 1.42/0.64 thf(func_def_64, type, collect_nat_nat_nat2: ((nat > nat > nat) > $o) > set_nat_nat_nat). 1.42/0.64 thf(func_def_65, type, collect_nat_nat: ((nat > nat) > $o) > set_nat_nat). 1.42/0.64 thf(func_def_66, type, collect_nat: (nat > $o) > set_nat). 1.42/0.64 thf(func_def_67, type, collec1702444712at_nat: (set_nat_nat_nat_nat3 > $o) > set_se1657353at_nat). 1.42/0.64 thf(func_def_68, type, collec309745849at_nat: (set_nat_nat_nat2 > $o) > set_set_nat_nat_nat2). 1.42/0.64 thf(func_def_69, type, collec617280953at_nat: (set_nat_nat_nat > $o) > set_set_nat_nat_nat). 1.42/0.64 thf(func_def_70, type, collect_set_nat_nat: (set_nat_nat > $o) > set_set_nat_nat). 1.42/0.64 thf(func_def_71, type, collect_set_nat: (set_nat > $o) > set_set_nat). 1.42/0.64 thf(func_def_72, type, member1128122036at_nat: ((nat > nat) > nat > nat) > set_nat_nat_nat_nat3 > $o). 1.42/0.64 thf(func_def_73, type, member_nat_nat_nat: ((nat > nat) > nat) > set_nat_nat_nat2 > $o). 1.42/0.64 thf(func_def_74, type, member_nat_nat_nat2: (nat > nat > nat) > set_nat_nat_nat > $o). 1.42/0.64 thf(func_def_75, type, member_nat_nat: (nat > nat) > set_nat_nat > $o). 1.42/0.64 thf(func_def_76, type, member_nat: nat > set_nat > $o). 1.42/0.64 thf(func_def_77, type, member_set_nat_nat: set_nat_nat > set_set_nat_nat > $o). 1.42/0.64 thf(func_def_78, type, n: nat). 1.42/0.64 thf(func_def_93, type, sK0: set_nat_nat > (nat > nat) > nat > nat). 1.42/0.64 thf(func_def_94, type, sK1: set_nat_nat > ((nat > nat) > (nat > nat > nat) > $o) > set_nat_nat_nat > nat > nat). 1.42/0.64 thf(func_def_95, type, sK2: set_nat_nat > ((nat > nat) > (nat > nat > nat) > $o) > set_nat_nat_nat > nat > nat > nat). 1.42/0.64 thf(func_def_96, type, sK3: set_nat_nat > set_nat_nat > ((nat > nat) > (nat > nat) > $o) > nat > nat). 1.42/0.64 thf(func_def_97, type, sK4: set_nat_nat > set_nat_nat > ((nat > nat) > (nat > nat) > $o) > nat > nat). 1.42/0.64 thf(func_def_98, type, sK5: ((nat > nat) > $o) > nat > nat). 1.42/0.64 thf(func_def_99, type, sK6: set_nat_nat_nat2 > set_nat_nat > ((nat > nat) > ((nat > nat) > nat) > $o) > (nat > nat) > nat). 1.42/0.64 thf(func_def_100, type, sK7: set_nat_nat_nat2 > set_nat_nat > ((nat > nat) > ((nat > nat) > nat) > $o) > nat > nat). 1.42/0.64 thf(func_def_101, type, sK8: set_nat_nat > (nat > nat) > nat > nat). 1.42/0.64 thf(func_def_102, type, sK9: set_nat_nat > ((nat > nat) > nat > $o) > set_nat > nat > nat). 1.42/0.64 thf(func_def_103, type, sK10: set_nat_nat > ((nat > nat) > nat > $o) > set_nat > nat). 1.42/0.64 thf(func_def_104, type, sK11: ((nat > nat) > $o) > ((nat > nat) > $o) > nat > nat). 1.42/0.64 thf(func_def_105, type, sK12: ((nat > nat) > $o) > set_nat_nat > ((nat > nat) > $o) > nat > nat). 1.42/0.64 thf(func_def_106, type, sK13: ((nat > nat) > $o) > ((nat > nat) > $o) > nat > nat). 1.42/0.64 thf(func_def_107, type, sK14: set_nat > (nat > (nat > nat) > $o) > set_nat_nat > nat). 1.42/0.64 thf(func_def_108, type, sK15: set_nat > (nat > (nat > nat) > $o) > set_nat_nat > nat > nat). 1.42/0.64 thf(func_def_110, type, sK17: ((nat > nat) > $o) > ((nat > nat) > $o) > nat > nat). 1.42/0.64 thf(func_def_111, type, sK18: ((nat > nat) > $o) > set_nat_nat > nat > nat). 1.42/0.64 thf(func_def_112, type, ph19: !>[X0: $tType]:(X0)). 1.42/0.64 thf(f1294,plain,( 1.42/0.64 $false), 1.42/0.64 inference(subsumption_resolution,[status(thm)],[f1293,f1068])). 1.42/0.64 thf(f1068,plain,( 1.42/0.64 ((finite570312790at_nat @ (collect_nat_nat @ (^[Y0 : nat > nat]: (number1551313001itions @ Y0 @ n)))) != $true)), 1.42/0.64 inference(cnf_transformation,[status(thm)],[f971])). 1.42/0.64 thf(f971,plain,( 1.42/0.64 ((finite570312790at_nat @ (collect_nat_nat @ (^[Y0 : nat > nat]: (number1551313001itions @ Y0 @ n)))) != $true)), 1.42/0.64 inference(flattening,[status(thm)],[f844])). 1.42/0.64 thf(f844,plain,( 1.42/0.64 ~((finite570312790at_nat @ (collect_nat_nat @ (^[Y0 : nat > nat]: (number1551313001itions @ Y0 @ n)))) = $true)), 1.42/0.64 inference(fool_elimination,[status(thm)],[f843])). 1.42/0.64 thf(f843,plain,( 1.42/0.64 ~(finite570312790at_nat @ (collect_nat_nat @ (^[X0 : nat > nat] : (number1551313001itions @ X0 @ n))))), 1.42/0.64 inference(rectify,[status(thm)],[f3])). 1.42/0.64 thf(f3,negated_conjecture,( 1.42/0.64 ~(finite570312790at_nat @ (collect_nat_nat @ (^[X4 : nat > nat] : (number1551313001itions @ X4 @ n))))), 1.42/0.64 inference(negated_conjecture,[status(cth)],[f2])). 1.42/0.64 thf(f2,conjecture,( 1.42/0.64 (finite570312790at_nat @ (collect_nat_nat @ (^[X4 : nat > nat] : (number1551313001itions @ X4 @ n))))), 1.42/0.64 file('/export/starexec/sandbox/tmp/tmp.oBbMwQMzRT/E---3.1_15190.p',conj_0)). 1.42/0.64 thf(f1293,plain,( 1.42/0.64 ((finite570312790at_nat @ (collect_nat_nat @ (^[Y0 : nat > nat]: (number1551313001itions @ Y0 @ n)))) = $true)), 1.42/0.64 inference(subsumption_resolution,[status(thm)],[f1292,f1089])). 1.42/0.64 thf(f1089,plain,( 1.42/0.64 ( ! [X0 : nat,X1 : nat] : (((finite570312790at_nat @ (collect_nat_nat @ (^[Y0 : nat > nat]: ((!! @ nat @ (^[Y1 : nat]: (ord_less_eq_nat @ (Y0 @ Y1) @ X1))) & (!! @ nat @ (^[Y1 : nat]: ((ord_less_eq_nat @ X0 @ Y1) => (zero_zero_nat = (Y0 @ Y1))))))))) = $true)) )), 1.42/0.64 inference(cnf_transformation,[status(thm)],[f396])). 1.42/0.64 thf(f396,plain,( 1.42/0.64 ! [X0 : nat,X1 : nat] : ((finite570312790at_nat @ (collect_nat_nat @ (^[Y0 : nat > nat]: ((!! @ nat @ (^[Y1 : nat]: (ord_less_eq_nat @ (Y0 @ Y1) @ X1))) & (!! @ nat @ (^[Y1 : nat]: ((ord_less_eq_nat @ X0 @ Y1) => (zero_zero_nat = (Y0 @ Y1))))))))) = $true)), 1.42/0.64 inference(fool_elimination,[status(thm)],[f395])). 1.42/0.64 thf(f395,plain,( 1.42/0.64 ! [X0 : nat,X1 : nat] : (finite570312790at_nat @ (collect_nat_nat @ (^[X2 : nat > nat] : (! [X3 : nat] : ((ord_less_eq_nat @ X0 @ X3) => (zero_zero_nat = (X2 @ X3))) & ! [X4 : nat] : (ord_less_eq_nat @ (X2 @ X4) @ X1)))))), 1.42/0.64 inference(rectify,[status(thm)],[f268])). 1.42/0.64 thf(f268,axiom,( 1.42/0.64 ! [X21 : nat,X23 : nat] : (finite570312790at_nat @ (collect_nat_nat @ (^[X15 : nat > nat] : (! [X3 : nat] : ((ord_less_eq_nat @ X21 @ X3) => (zero_zero_nat = (X15 @ X3))) & ! [X3 : nat] : (ord_less_eq_nat @ (X15 @ X3) @ X23)))))), 1.42/0.64 file('/export/starexec/sandbox/tmp/tmp.oBbMwQMzRT/E---3.1_15190.p',fact_44_bound__domain__and__range__impl__finitely__many__functions)). 1.42/0.64 thf(f1292,plain,( 1.42/0.64 ((finite570312790at_nat @ (collect_nat_nat @ (^[Y0 : nat > nat]: ((!! @ nat @ (^[Y1 : nat]: (ord_less_eq_nat @ (Y0 @ Y1) @ n))) & (!! @ nat @ (^[Y1 : nat]: ((ord_less_eq_nat @ (plus_plus_nat @ n @ one_one_nat) @ Y1) => (zero_zero_nat = (Y0 @ Y1))))))))) != $true) | ((finite570312790at_nat @ (collect_nat_nat @ (^[Y0 : nat > nat]: (number1551313001itions @ Y0 @ n)))) = $true)), 1.42/0.64 inference(trivial_inequality_removal,[status(thm)],[f1291])). 1.42/0.64 thf(f1291,plain,( 1.42/0.64 ((finite570312790at_nat @ (collect_nat_nat @ (^[Y0 : nat > nat]: ((!! @ nat @ (^[Y1 : nat]: (ord_less_eq_nat @ (Y0 @ Y1) @ n))) & (!! @ nat @ (^[Y1 : nat]: ((ord_less_eq_nat @ (plus_plus_nat @ n @ one_one_nat) @ Y1) => (zero_zero_nat = (Y0 @ Y1))))))))) != $true) | ((finite570312790at_nat @ (collect_nat_nat @ (^[Y0 : nat > nat]: (number1551313001itions @ Y0 @ n)))) = $true) | ($true != $true)), 1.42/0.64 inference(superposition,[status(thm)],[f1077,f1074])). 1.42/0.64 thf(f1074,plain,( 1.42/0.64 ((ord_le1415039317at_nat @ (collect_nat_nat @ (^[Y0 : nat > nat]: (number1551313001itions @ Y0 @ n))) @ (collect_nat_nat @ (^[Y0 : nat > nat]: ((!! @ nat @ (^[Y1 : nat]: (ord_less_eq_nat @ (Y0 @ Y1) @ n))) & (!! @ nat @ (^[Y1 : nat]: ((ord_less_eq_nat @ (plus_plus_nat @ n @ one_one_nat) @ Y1) => (zero_zero_nat = (Y0 @ Y1))))))))) = $true)), 1.42/0.64 inference(cnf_transformation,[status(thm)],[f930])). 1.42/0.64 thf(f930,plain,( 1.42/0.64 ((ord_le1415039317at_nat @ (collect_nat_nat @ (^[Y0 : nat > nat]: (number1551313001itions @ Y0 @ n))) @ (collect_nat_nat @ (^[Y0 : nat > nat]: ((!! @ nat @ (^[Y1 : nat]: (ord_less_eq_nat @ (Y0 @ Y1) @ n))) & (!! @ nat @ (^[Y1 : nat]: ((ord_less_eq_nat @ (plus_plus_nat @ n @ one_one_nat) @ Y1) => (zero_zero_nat = (Y0 @ Y1))))))))) = $true)), 1.42/0.64 inference(fool_elimination,[status(thm)],[f929])). 1.42/0.64 thf(f929,plain,( 1.42/0.64 (ord_le1415039317at_nat @ (collect_nat_nat @ (^[X0 : nat > nat] : (number1551313001itions @ X0 @ n))) @ (collect_nat_nat @ (^[X1 : nat > nat] : (! [X2 : nat] : ((ord_less_eq_nat @ (plus_plus_nat @ n @ one_one_nat) @ X2) => (zero_zero_nat = (X1 @ X2))) & ! [X3 : nat] : (ord_less_eq_nat @ (X1 @ X3) @ n)))))), 1.42/0.64 inference(rectify,[status(thm)],[f272])). 1.42/0.64 thf(f272,axiom,( 1.42/0.64 (ord_le1415039317at_nat @ (collect_nat_nat @ (^[X4 : nat > nat] : (number1551313001itions @ X4 @ n))) @ (collect_nat_nat @ (^[X15 : nat > nat] : (! [X3 : nat] : ((ord_less_eq_nat @ (plus_plus_nat @ n @ one_one_nat) @ X3) => (zero_zero_nat = (X15 @ X3))) & ! [X3 : nat] : (ord_less_eq_nat @ (X15 @ X3) @ n)))))), 1.42/0.64 file('/export/starexec/sandbox/tmp/tmp.oBbMwQMzRT/E---3.1_15190.p',fact_1__092_060open_062_123p_O_Ap_Apartitions_An_125_A_092_060subseteq_062_A_123f_O_A_I_092_060forall_062i_O_Af_Ai_A_092_060le_062_An_J_A_092_060and_062_A_I_092_060forall_062i_092_060ge_062n_A_L_A1_O_Af_Ai_A_061_A0_J_125_092_060close_062)). 1.42/0.64 thf(f1077,plain,( 1.42/0.64 ( ! [X0 : set_nat_nat,X1 : set_nat_nat] : (((ord_le1415039317at_nat @ X0 @ X1) != $true) | ((finite570312790at_nat @ X0) = $true) | ((finite570312790at_nat @ X1) != $true)) )), 1.42/0.64 inference(cnf_transformation,[status(thm)],[f1018])). 1.42/0.64 thf(f1018,plain,( 1.42/0.64 ! [X0 : set_nat_nat,X1 : set_nat_nat] : (((ord_le1415039317at_nat @ X0 @ X1) != $true) | ((finite570312790at_nat @ X1) != $true) | ((finite570312790at_nat @ X0) = $true))), 1.42/0.64 inference(flattening,[status(thm)],[f1017])). 1.42/0.64 thf(f1017,plain,( 1.42/0.64 ! [X0 : set_nat_nat,X1 : set_nat_nat] : ((((finite570312790at_nat @ X0) = $true) | ((finite570312790at_nat @ X1) != $true)) | ((ord_le1415039317at_nat @ X0 @ X1) != $true))), 1.42/0.64 inference(ennf_transformation,[status(thm)],[f524])). 1.42/0.64 thf(f524,plain,( 1.42/0.64 ! [X0 : set_nat_nat,X1 : set_nat_nat] : (((ord_le1415039317at_nat @ X0 @ X1) = $true) => (((finite570312790at_nat @ X1) = $true) => ((finite570312790at_nat @ X0) = $true)))), 1.42/0.64 inference(fool_elimination,[status(thm)],[f523])). 1.42/0.64 thf(f523,plain,( 1.42/0.64 ! [X0 : set_nat_nat,X1 : set_nat_nat] : ((ord_le1415039317at_nat @ X0 @ X1) => ((finite570312790at_nat @ X1) => (finite570312790at_nat @ X0)))), 1.42/0.64 inference(rectify,[status(thm)],[f242])). 1.42/0.64 thf(f242,axiom,( 1.42/0.64 ! [X5 : set_nat_nat,X6 : set_nat_nat] : ((ord_le1415039317at_nat @ X5 @ X6) => ((finite570312790at_nat @ X6) => (finite570312790at_nat @ X5)))), 1.42/0.64 file('/export/starexec/sandbox/tmp/tmp.oBbMwQMzRT/E---3.1_15190.p',fact_72_finite__subset)). 1.42/0.64 % SZS output end Proof for E---3.1_15190 1.42/0.64 % (15326)------------------------------ 1.42/0.64 % (15326)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.42/0.64 % (15326)Termination reason: Refutation 1.42/0.64 1.42/0.64 % (15326)Memory used [KB]: 7164 1.42/0.64 % (15326)Time elapsed: 0.050 s 1.42/0.64 % (15326)Instructions burned: 144 (million) 1.42/0.64 % (15326)------------------------------ 1.42/0.64 % (15326)------------------------------ 1.42/0.64 % (15296)Success in time 0.232 s 1.42/0.64 EOF