0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_vampire %s %d THM 0.12/0.34 % Computer : n011.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1920 0.12/0.34 % WCLimit : 240 0.12/0.34 % DateTime : Wed Jul 30 05:12:34 EDT 2025 0.12/0.34 % CPUTime : 0.12/0.36 This is a THF_ problem 0.12/0.36 Running higher-order theorem proving 0.12/0.39 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.B3JDZcqhVk/E---3.1_25071.p -m 16384 -t 240 0.25/0.43 % (25311)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_25071 for (2399ds/27Mi) 0.25/0.43 % (25309)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_25071 for (2399ds/183Mi) 0.25/0.43 % (25315)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_25071 for (2399ds/275Mi) 0.25/0.43 % (25312)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_25071 for (2399ds/2Mi) 0.25/0.43 % (25310)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_25071 for (2399ds/4Mi) 0.25/0.44 % (25316)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_25071 for (2399ds/18Mi) 0.25/0.44 % (25312)Instruction limit reached! 0.25/0.44 % (25312)------------------------------ 0.25/0.44 % (25312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.44 % (25312)Termination reason: Unknown 0.25/0.44 % (25312)Termination phase: shuffling 0.25/0.44 0.25/0.44 % (25312)Memory used [KB]: 1279 0.25/0.44 % (25312)Time elapsed: 0.003 s 0.25/0.44 % (25312)Instructions burned: 2 (million) 0.25/0.44 % (25312)------------------------------ 0.25/0.44 % (25312)------------------------------ 0.25/0.44 % (25314)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_25071 for (2399ds/2Mi) 0.25/0.44 % (25310)Instruction limit reached! 0.25/0.44 % (25310)------------------------------ 0.25/0.44 % (25310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.44 % (25310)Termination reason: Unknown 0.25/0.44 % (25310)Termination phase: shuffling 0.25/0.44 0.25/0.44 % (25310)Memory used [KB]: 1407 0.25/0.44 % (25310)Time elapsed: 0.005 s 0.25/0.44 % (25310)Instructions burned: 5 (million) 0.25/0.44 % (25310)------------------------------ 0.25/0.44 % (25310)------------------------------ 0.25/0.44 % (25314)Instruction limit reached! 0.25/0.44 % (25314)------------------------------ 0.25/0.44 % (25314)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.44 % (25314)Termination reason: Unknown 0.25/0.44 % (25314)Termination phase: shuffling 0.25/0.44 0.25/0.44 % (25314)Memory used [KB]: 1279 0.25/0.44 % (25314)Time elapsed: 0.005 s 0.25/0.44 % (25314)Instructions burned: 2 (million) 0.25/0.44 % (25314)------------------------------ 0.25/0.44 % (25314)------------------------------ 0.25/0.45 % (25316)Instruction limit reached! 0.25/0.45 % (25316)------------------------------ 0.25/0.45 % (25316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.45 % (25316)Termination reason: Unknown 0.25/0.45 % (25316)Termination phase: Property scanning 0.25/0.45 0.25/0.45 % (25316)Memory used [KB]: 1535 0.25/0.45 % (25316)Time elapsed: 0.015 s 0.25/0.45 % (25316)Instructions burned: 18 (million) 0.25/0.45 % (25316)------------------------------ 0.25/0.45 % (25316)------------------------------ 0.25/0.45 % (25311)Instruction limit reached! 0.25/0.45 % (25311)------------------------------ 0.25/0.45 % (25311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.45 % (25311)Termination reason: Unknown 0.25/0.45 % (25311)Termination phase: Property scanning 0.25/0.45 0.25/0.45 % (25311)Memory used [KB]: 1535 0.25/0.45 % (25311)Time elapsed: 0.017 s 0.25/0.45 % (25311)Instructions burned: 27 (million) 0.25/0.45 % (25311)------------------------------ 0.25/0.45 % (25311)------------------------------ 0.25/0.45 % (25325)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_25071 for (2399ds/3Mi) 0.25/0.46 % (25326)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_25071 for (2399ds/37Mi) 0.25/0.46 % (25325)Instruction limit reached! 0.25/0.46 % (25325)------------------------------ 0.25/0.46 % (25325)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.46 % (25325)Termination reason: Unknown 0.25/0.46 % (25325)Termination phase: shuffling 0.25/0.46 0.25/0.46 % (25325)Memory used [KB]: 1279 0.25/0.46 % (25325)Time elapsed: 0.004 s 0.25/0.46 % (25325)Instructions burned: 3 (million) 0.25/0.46 % (25325)------------------------------ 0.25/0.46 % (25325)------------------------------ 0.25/0.46 % (25328)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_25071 for (2399ds/15Mi) 0.25/0.47 % (25328)Instruction limit reached! 0.25/0.47 % (25328)------------------------------ 0.25/0.47 % (25328)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.47 % (25328)Termination reason: Unknown 0.25/0.47 % (25328)Termination phase: shuffling 0.25/0.47 0.25/0.47 % (25328)Memory used [KB]: 1535 0.25/0.47 % (25328)Time elapsed: 0.011 s 0.25/0.47 % (25328)Instructions burned: 15 (million) 0.25/0.47 % (25328)------------------------------ 0.25/0.47 % (25328)------------------------------ 0.25/0.47 % (25340)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_25071 for (2399ds/1041Mi) 0.25/0.47 % (25338)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_25071 for (2399ds/3Mi) 0.25/0.47 % (25338)Instruction limit reached! 0.25/0.47 % (25338)------------------------------ 0.25/0.47 % (25338)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.47 % (25338)Termination reason: Unknown 0.25/0.47 % (25338)Termination phase: shuffling 0.25/0.47 0.25/0.47 % (25338)Memory used [KB]: 1407 0.25/0.47 % (25338)Time elapsed: 0.005 s 0.25/0.47 % (25338)Instructions burned: 5 (million) 0.25/0.47 % (25338)------------------------------ 0.25/0.47 % (25338)------------------------------ 0.25/0.47 % (25345)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_25071 for (2399ds/7Mi) 0.25/0.47 % (25326)Instruction limit reached! 0.25/0.47 % (25326)------------------------------ 0.25/0.47 % (25326)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.47 % (25326)Termination reason: Unknown 0.25/0.47 % (25326)Termination phase: shuffling 0.25/0.47 0.25/0.47 % (25326)Memory used [KB]: 2046 0.25/0.47 % (25326)Time elapsed: 0.021 s 0.25/0.47 % (25326)Instructions burned: 37 (million) 0.25/0.47 % (25326)------------------------------ 0.25/0.47 % (25326)------------------------------ 0.25/0.48 % (25345)Instruction limit reached! 0.25/0.48 % (25345)------------------------------ 0.25/0.48 % (25345)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.48 % (25345)Termination reason: Unknown 0.25/0.48 % (25345)Termination phase: shuffling 0.25/0.48 0.25/0.48 % (25345)Memory used [KB]: 1407 0.25/0.48 % (25345)Time elapsed: 0.007 s 0.25/0.48 % (25345)Instructions burned: 8 (million) 0.25/0.48 % (25345)------------------------------ 0.25/0.48 % (25345)------------------------------ 0.25/0.48 % (25354)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_25071 for (2399ds/3Mi) 0.25/0.48 % (25354)Instruction limit reached! 0.25/0.48 % (25354)------------------------------ 0.25/0.48 % (25354)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.48 % (25354)Termination reason: Unknown 0.25/0.48 % (25354)Termination phase: shuffling 0.25/0.48 0.25/0.48 % (25354)Memory used [KB]: 1279 0.25/0.48 % (25354)Time elapsed: 0.002 s 0.25/0.48 % (25354)Instructions burned: 3 (million) 0.25/0.48 % (25354)------------------------------ 0.25/0.48 % (25354)------------------------------ 0.25/0.49 % (25353)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_25071 for (2399ds/16Mi) 0.25/0.49 % (25357)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_25071 for (2399ds/3Mi) 0.25/0.49 % (25368)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_25071 for (2399ds/3Mi) 0.25/0.49 % (25368)Instruction limit reached! 0.25/0.49 % (25368)------------------------------ 0.25/0.49 % (25368)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.49 % (25368)Termination reason: Unknown 0.25/0.49 % (25368)Termination phase: shuffling 0.25/0.49 0.25/0.49 % (25368)Memory used [KB]: 1407 0.25/0.49 % (25368)Time elapsed: 0.003 s 0.25/0.49 % (25368)Instructions burned: 5 (million) 0.25/0.49 % (25368)------------------------------ 0.25/0.49 % (25368)------------------------------ 0.25/0.49 % (25357)Instruction limit reached! 0.25/0.49 % (25357)------------------------------ 0.25/0.49 % (25357)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.49 % (25357)Termination reason: Unknown 0.25/0.49 % (25357)Termination phase: shuffling 0.25/0.49 0.25/0.49 % (25357)Memory used [KB]: 1279 0.25/0.49 % (25357)Time elapsed: 0.004 s 0.25/0.49 % (25357)Instructions burned: 4 (million) 0.25/0.49 % (25357)------------------------------ 0.25/0.49 % (25357)------------------------------ 0.25/0.50 % (25353)Instruction limit reached! 0.25/0.50 % (25353)------------------------------ 0.25/0.50 % (25353)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.50 % (25353)Termination reason: Unknown 0.25/0.50 % (25353)Termination phase: shuffling 0.25/0.50 0.25/0.50 % (25353)Memory used [KB]: 1535 0.25/0.50 % (25353)Time elapsed: 0.012 s 0.25/0.50 % (25353)Instructions burned: 16 (million) 0.25/0.50 % (25353)------------------------------ 0.25/0.50 % (25353)------------------------------ 0.25/0.50 % (25365)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_25071 for (2399ds/7Mi) 0.25/0.50 % (25374)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_25071 for (2399ds/4Mi) 0.25/0.51 % (25365)Instruction limit reached! 0.25/0.51 % (25365)------------------------------ 0.25/0.51 % (25365)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.51 % (25365)Termination reason: Unknown 0.25/0.51 % (25365)Termination phase: shuffling 0.25/0.51 0.25/0.51 % (25365)Memory used [KB]: 1407 0.25/0.51 % (25365)Time elapsed: 0.008 s 0.25/0.51 % (25365)Instructions burned: 7 (million) 0.25/0.51 % (25365)------------------------------ 0.25/0.51 % (25365)------------------------------ 0.25/0.51 % (25374)Instruction limit reached! 0.25/0.51 % (25374)------------------------------ 0.25/0.51 % (25374)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.51 % (25374)Termination reason: Unknown 0.25/0.51 % (25374)Termination phase: shuffling 0.25/0.51 0.25/0.51 % (25374)Memory used [KB]: 1407 0.25/0.51 % (25374)Time elapsed: 0.003 s 0.25/0.51 % (25374)Instructions burned: 5 (million) 0.25/0.51 % (25374)------------------------------ 0.25/0.51 % (25374)------------------------------ 0.86/0.51 % (25376)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_25071 for (2399ds/710Mi) 0.86/0.52 % (25380)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_25071 for (2398ds/902Mi) 0.86/0.52 % (25375)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_25071 for (2399ds/18Mi) 0.86/0.53 % (25378)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_25071 for (2399ds/6Mi) 0.92/0.53 % (25378)Instruction limit reached! 0.92/0.53 % (25378)------------------------------ 0.92/0.53 % (25378)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.92/0.53 % (25378)Termination reason: Unknown 0.92/0.53 % (25378)Termination phase: shuffling 0.92/0.53 0.92/0.53 % (25378)Memory used [KB]: 1407 0.92/0.53 % (25378)Time elapsed: 0.007 s 0.92/0.53 % (25378)Instructions burned: 7 (million) 0.92/0.53 % (25378)------------------------------ 0.92/0.53 % (25378)------------------------------ 0.92/0.54 % (25375)Instruction limit reached! 0.92/0.54 % (25375)------------------------------ 0.92/0.54 % (25375)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.92/0.54 % (25375)Termination reason: Unknown 0.92/0.54 % (25375)Termination phase: Property scanning 0.92/0.54 0.92/0.54 % (25375)Memory used [KB]: 1535 0.92/0.54 % (25375)Time elapsed: 0.017 s 0.92/0.54 % (25375)Instructions burned: 18 (million) 0.92/0.54 % (25375)------------------------------ 0.92/0.54 % (25375)------------------------------ 0.92/0.54 % (25309)Instruction limit reached! 0.92/0.54 % (25309)------------------------------ 0.92/0.54 % (25309)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.92/0.54 % (25309)Termination reason: Unknown 0.92/0.54 % (25309)Termination phase: Saturation 0.92/0.54 0.92/0.54 % (25309)Memory used [KB]: 7164 0.92/0.54 % (25309)Time elapsed: 0.108 s 0.92/0.54 % (25309)Instructions burned: 183 (million) 0.92/0.54 % (25309)------------------------------ 0.92/0.54 % (25309)------------------------------ 0.92/0.55 % (25409)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_25071 for (2398ds/21Mi) 0.92/0.55 % (25409)Instruction limit reached! 0.92/0.55 % (25409)------------------------------ 0.92/0.55 % (25409)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.92/0.55 % (25409)Termination reason: Unknown 0.92/0.55 % (25409)Termination phase: shuffling 0.92/0.55 0.92/0.55 % (25409)Memory used [KB]: 1663 0.92/0.55 % (25409)Time elapsed: 0.009 s 0.92/0.56 % (25409)Instructions burned: 23 (million) 0.92/0.56 % (25409)------------------------------ 0.92/0.56 % (25409)------------------------------ 0.92/0.56 % (25431)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_25071 for (2398ds/6Mi) 0.92/0.56 % (25431)Instruction limit reached! 0.92/0.56 % (25431)------------------------------ 0.92/0.56 % (25431)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.92/0.56 % (25431)Termination reason: Unknown 0.92/0.56 % (25431)Termination phase: shuffling 0.92/0.56 0.92/0.56 % (25431)Memory used [KB]: 1407 0.92/0.56 % (25431)Time elapsed: 0.005 s 0.92/0.56 % (25431)Instructions burned: 7 (million) 0.92/0.56 % (25431)------------------------------ 0.92/0.56 % (25431)------------------------------ 0.92/0.57 % (25439)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_25071 for (2398ds/377Mi) 0.92/0.57 % (25424)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_25071 for (2398ds/5Mi) 0.92/0.58 % (25315)Instruction limit reached! 0.92/0.58 % (25315)------------------------------ 0.92/0.58 % (25315)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.92/0.58 % (25315)Termination reason: Unknown 0.92/0.58 % (25315)Termination phase: Saturation 0.92/0.58 0.92/0.58 % (25315)Memory used [KB]: 6908 0.92/0.58 % (25315)Time elapsed: 0.143 s 0.92/0.58 % (25315)Instructions burned: 275 (million) 0.92/0.58 % (25315)------------------------------ 0.92/0.58 % (25315)------------------------------ 0.92/0.58 % (25424)Instruction limit reached! 0.92/0.58 % (25424)------------------------------ 0.92/0.58 % (25424)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.92/0.58 % (25424)Termination reason: Unknown 0.92/0.58 % (25424)Termination phase: shuffling 0.92/0.58 0.92/0.58 % (25424)Memory used [KB]: 1407 0.92/0.58 % (25424)Time elapsed: 0.007 s 0.92/0.58 % (25424)Instructions burned: 6 (million) 0.92/0.58 % (25424)------------------------------ 0.92/0.58 % (25424)------------------------------ 0.92/0.59 % (25440)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_25071 for (2398ds/779Mi) 0.92/0.60 % (25441)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_25071 for (2398ds/19Mi) 0.92/0.61 % (25441)Instruction limit reached! 0.92/0.61 % (25441)------------------------------ 0.92/0.61 % (25441)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.92/0.61 % (25441)Termination reason: Unknown 0.92/0.61 % (25441)Termination phase: shuffling 0.92/0.61 0.92/0.61 % (25441)Memory used [KB]: 1663 0.92/0.61 % (25441)Time elapsed: 0.012 s 0.92/0.61 % (25441)Instructions burned: 20 (million) 0.92/0.61 % (25441)------------------------------ 0.92/0.61 % (25441)------------------------------ 0.92/0.61 % (25442)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_25071 for (2398ds/879Mi) 0.92/0.62 % (25443)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_25071 for (2398ds/17Mi) 0.92/0.62 % (25340)First to succeed. 0.92/0.62 % (25340)Refutation found. Thanks to Tanya! 0.92/0.62 % SZS status Theorem for E---3.1_25071 0.92/0.62 % SZS output start Proof for E---3.1_25071 0.92/0.62 thf(type_def_5, type, hF_Mirabelle_hf: $tType). 0.92/0.62 thf(type_def_7, type, nat: $tType). 0.92/0.62 thf(type_def_8, type, set_HF_Mirabelle_hf: $tType). 0.92/0.62 thf(func_def_0, type, set_HF_Mirabelle_hf: $tType). 0.92/0.62 thf(func_def_1, type, hF_Mirabelle_hf: $tType). 0.92/0.62 thf(func_def_2, type, nat: $tType). 0.92/0.62 thf(func_def_3, type, minus_1232880740lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.92/0.62 thf(func_def_4, type, minus_minus_nat: nat > nat > nat). 0.92/0.62 thf(func_def_5, type, zero_z189798548lle_hf: hF_Mirabelle_hf). 0.92/0.62 thf(func_def_6, type, zero_zero_nat: nat). 0.92/0.62 thf(func_def_7, type, hF_Mir818139703ollect: (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.92/0.62 thf(func_def_8, type, hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf). 0.92/0.62 thf(func_def_9, type, hF_Mirabelle_HInter: hF_Mirabelle_hf > hF_Mirabelle_hf). 0.92/0.62 thf(func_def_10, type, hF_Mirabelle_HUnion: hF_Mirabelle_hf > hF_Mirabelle_hf). 0.92/0.62 thf(func_def_11, type, hF_Mir1248913145eplace: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.92/0.62 thf(func_def_12, type, hF_Mirabelle_RepFun: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.92/0.62 thf(func_def_13, type, hF_Mirabelle_Replace: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.92/0.62 thf(func_def_14, type, hF_Mirabelle_Abs_hf: nat > hF_Mirabelle_hf). 0.92/0.62 thf(func_def_15, type, hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf). 0.92/0.62 thf(func_def_16, type, hF_Mirabelle_hfst: hF_Mirabelle_hf > hF_Mirabelle_hf). 0.92/0.62 thf(func_def_17, type, hF_Mirabelle_hinsert: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.92/0.62 thf(func_def_18, type, hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o). 0.92/0.62 thf(func_def_19, type, hF_Mirabelle_hpair: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.92/0.62 thf(func_def_20, type, hF_Mirabelle_hsnd: hF_Mirabelle_hf > hF_Mirabelle_hf). 0.92/0.62 thf(func_def_21, type, inf_in956532509lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.92/0.62 thf(func_def_22, type, inf_inf_nat: nat > nat > nat). 0.92/0.62 thf(func_def_23, type, sup_su638957495lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.92/0.62 thf(func_def_24, type, sup_sup_nat: nat > nat > nat). 0.92/0.62 thf(func_def_25, type, semiri1382578993at_nat: nat > nat). 0.92/0.62 thf(func_def_26, type, ord_le976219883lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o). 0.92/0.62 thf(func_def_27, type, ord_less_eq_nat: nat > nat > $o). 0.92/0.62 thf(func_def_28, type, collec2046588256lle_hf: (hF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf). 0.92/0.62 thf(func_def_29, type, member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o). 0.92/0.62 thf(func_def_30, type, x: hF_Mirabelle_hf). 0.92/0.62 thf(func_def_31, type, y: hF_Mirabelle_hf). 0.92/0.62 thf(func_def_50, type, ph1: !>[X0: $tType]:(X0)). 0.92/0.62 thf(f2030,plain,( 0.92/0.62 $false), 0.92/0.62 inference(trivial_inequality_removal,[status(thm)],[f2027])). 0.92/0.62 thf(f2027,plain,( 0.92/0.62 ($false = $true)), 0.92/0.62 inference(backward_demodulation,[status(thm)],[f2000,f2025])). 0.92/0.62 thf(f2025,plain,( 0.92/0.62 ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : ((((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ X1 @ X2)) = $false)) )), 0.92/0.62 inference(not_proxy_clausification,[status(thm)],[f2024])). 0.92/0.62 thf(f2024,plain,( 0.92/0.62 ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (((~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ X1 @ X2))) = $true)) )), 0.92/0.62 inference(beta_eta_normalization,[status(thm)],[f2023])). 0.92/0.62 thf(f2023,plain,( 0.92/0.62 ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($true = ((^[Y0 : hF_Mirabelle_hf]: (~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ X1 @ Y0)))) @ X2))) )), 0.92/0.62 inference(pi_clausification,[status(thm)],[f2022])). 0.92/0.62 thf(f2022,plain,( 0.92/0.62 ( ! [X1 : hF_Mirabelle_hf] : (((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ X1 @ Y0))))) = $true)) )), 0.92/0.62 inference(beta_eta_normalization,[status(thm)],[f2021])). 0.92/0.62 thf(f2021,plain,( 0.92/0.62 ( ! [X1 : hF_Mirabelle_hf] : ((((^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ Y0 @ Y1)))))) @ X1) = $true)) )), 0.92/0.62 inference(pi_clausification,[status(thm)],[f1392])). 0.92/0.62 thf(f1392,plain,( 0.92/0.62 ($true = (!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ Y0 @ Y1))))))))), 0.92/0.62 inference(definition_unfolding,[status(thm)],[f1057,f1099])). 0.92/0.62 thf(f1099,plain,( 0.92/0.62 (zero_z189798548lle_hf = (hF_Mirabelle_Abs_hf @ zero_zero_nat))), 0.92/0.62 inference(cnf_transformation,[status(thm)],[f730])). 0.92/0.62 thf(f730,plain,( 0.92/0.62 (zero_z189798548lle_hf = (hF_Mirabelle_Abs_hf @ zero_zero_nat))), 0.92/0.62 inference(fool_elimination,[status(thm)],[f19])). 0.92/0.62 thf(f19,axiom,( 0.92/0.62 (zero_z189798548lle_hf = (hF_Mirabelle_Abs_hf @ zero_zero_nat))), 0.92/0.62 file('/export/starexec/sandbox/tmp/tmp.B3JDZcqhVk/E---3.1_25071.p',fact_22_Abs__hf__0)). 0.92/0.62 thf(f1057,plain,( 0.92/0.62 ($true = (!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (~ (zero_z189798548lle_hf = (hF_Mirabelle_hinsert @ Y0 @ Y1))))))))), 0.92/0.62 inference(cnf_transformation,[status(thm)],[f397])). 0.92/0.62 thf(f397,plain,( 0.92/0.62 ($true = (!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (~ (zero_z189798548lle_hf = (hF_Mirabelle_hinsert @ Y0 @ Y1))))))))), 0.92/0.62 inference(fool_elimination,[status(thm)],[f396])). 0.92/0.62 thf(f396,plain,( 0.92/0.62 ! [X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (zero_z189798548lle_hf != (hF_Mirabelle_hinsert @ X1 @ X0))), 0.92/0.62 inference(rectify,[status(thm)],[f315])). 0.92/0.62 thf(f315,axiom,( 0.92/0.62 ! [X0 : hF_Mirabelle_hf,X6 : hF_Mirabelle_hf] : (zero_z189798548lle_hf != (hF_Mirabelle_hinsert @ X6 @ X0))), 0.92/0.62 file('/export/starexec/sandbox/tmp/tmp.B3JDZcqhVk/E---3.1_25071.p',fact_18_hinsert__nonempty)). 0.92/0.62 thf(f2000,plain,( 0.92/0.62 ($true = ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ x @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ x @ (hF_Mirabelle_hinsert @ y @ (hF_Mirabelle_Abs_hf @ zero_zero_nat))) @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)))))), 0.92/0.62 inference(backward_demodulation,[status(thm)],[f1632,f1999])). 0.92/0.62 thf(f1999,plain,( 0.92/0.62 ( ! [X0 : hF_Mirabelle_hf] : (((hF_Mirabelle_hinsert @ X0 @ (hF_Mirabelle_hinsert @ X0 @ (hF_Mirabelle_Abs_hf @ zero_zero_nat))) = (hF_Mirabelle_hinsert @ X0 @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)))) )), 0.92/0.62 inference(superposition,[status(thm)],[f1899,f1985])). 0.92/0.62 thf(f1985,plain,( 0.92/0.62 ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (((hF_Mirabelle_hinsert @ X1 @ X2) = (sup_su638957495lle_hf @ X2 @ (hF_Mirabelle_hinsert @ X1 @ (hF_Mirabelle_Abs_hf @ zero_zero_nat))))) )), 0.92/0.62 inference(beta_eta_normalization,[status(thm)],[f1982])). 0.92/0.62 thf(f1982,plain,( 0.92/0.62 ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (((hF_Mirabelle_hinsert @ X1 @ X2) = ((^[Y0 : hF_Mirabelle_hf]: (sup_su638957495lle_hf @ Y0 @ (hF_Mirabelle_hinsert @ X1 @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)))) @ X2))) )), 0.92/0.62 inference(argument_congruence,[status(thm)],[f1981])). 0.92/0.62 thf(f1981,plain,( 0.92/0.62 ( ! [X1 : hF_Mirabelle_hf] : (((hF_Mirabelle_hinsert @ X1) = (^[Y0 : hF_Mirabelle_hf]: (sup_su638957495lle_hf @ Y0 @ (hF_Mirabelle_hinsert @ X1 @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)))))) )), 0.92/0.62 inference(beta_eta_normalization,[status(thm)],[f1980])). 0.92/0.62 thf(f1980,plain,( 0.92/0.62 ( ! [X1 : hF_Mirabelle_hf] : (((hF_Mirabelle_hinsert @ X1) = ((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (sup_su638957495lle_hf @ Y1 @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)))))) @ X1))) )), 0.92/0.62 inference(argument_congruence,[status(thm)],[f1592])). 0.92/0.62 thf(f1592,plain,( 0.92/0.62 (hF_Mirabelle_hinsert = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (sup_su638957495lle_hf @ Y1 @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)))))))), 0.92/0.62 inference(definition_unfolding,[status(thm)],[f1363,f1099])). 0.92/0.62 thf(f1363,plain,( 0.92/0.62 (hF_Mirabelle_hinsert = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (sup_su638957495lle_hf @ Y1 @ (hF_Mirabelle_hinsert @ Y0 @ zero_z189798548lle_hf))))))), 0.92/0.62 inference(cnf_transformation,[status(thm)],[f492])). 0.92/0.62 thf(f492,plain,( 0.92/0.62 (hF_Mirabelle_hinsert = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (sup_su638957495lle_hf @ Y1 @ (hF_Mirabelle_hinsert @ Y0 @ zero_z189798548lle_hf))))))), 0.92/0.62 inference(fool_elimination,[status(thm)],[f491])). 0.92/0.62 thf(f491,plain,( 0.92/0.62 ((^[X0 : hF_Mirabelle_hf, X1 : hF_Mirabelle_hf] : (sup_su638957495lle_hf @ X1 @ (hF_Mirabelle_hinsert @ X0 @ zero_z189798548lle_hf))) = hF_Mirabelle_hinsert)), 0.92/0.62 inference(rectify,[status(thm)],[f257])). 0.92/0.62 thf(f257,axiom,( 0.92/0.62 ((^[X8 : hF_Mirabelle_hf, X9 : hF_Mirabelle_hf] : (sup_su638957495lle_hf @ X9 @ (hF_Mirabelle_hinsert @ X8 @ zero_z189798548lle_hf))) = hF_Mirabelle_hinsert)), 0.92/0.62 file('/export/starexec/sandbox/tmp/tmp.B3JDZcqhVk/E---3.1_25071.p',fact_26_hinsert__eq__sup)). 0.92/0.62 thf(f1899,plain,( 0.92/0.62 ( ! [X1 : hF_Mirabelle_hf] : (((sup_su638957495lle_hf @ X1 @ X1) = X1)) )), 0.92/0.62 inference(equality_proxy_clausification,[status(thm)],[f1898])). 0.92/0.62 thf(f1898,plain,( 0.92/0.62 ( ! [X1 : hF_Mirabelle_hf] : (($true = ((sup_su638957495lle_hf @ X1 @ X1) = X1))) )), 0.92/0.62 inference(beta_eta_normalization,[status(thm)],[f1897])). 0.92/0.62 thf(f1897,plain,( 0.92/0.62 ( ! [X1 : hF_Mirabelle_hf] : ((((^[Y0 : hF_Mirabelle_hf]: ((sup_su638957495lle_hf @ Y0 @ Y0) = Y0)) @ X1) = $true)) )), 0.92/0.62 inference(pi_clausification,[status(thm)],[f1249])). 0.92/0.62 thf(f1249,plain,( 0.92/0.62 ($true = (!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((sup_su638957495lle_hf @ Y0 @ Y0) = Y0))))), 0.92/0.62 inference(cnf_transformation,[status(thm)],[f856])). 0.92/0.62 thf(f856,plain,( 0.92/0.62 ($true = (!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((sup_su638957495lle_hf @ Y0 @ Y0) = Y0))))), 0.92/0.62 inference(fool_elimination,[status(thm)],[f855])). 0.92/0.62 thf(f855,plain,( 0.92/0.62 ! [X0 : hF_Mirabelle_hf] : ((sup_su638957495lle_hf @ X0 @ X0) = X0)), 0.92/0.62 inference(rectify,[status(thm)],[f13])). 0.92/0.62 thf(f13,axiom,( 0.92/0.62 ! [X1 : hF_Mirabelle_hf] : ((sup_su638957495lle_hf @ X1 @ X1) = X1)), 0.92/0.62 file('/export/starexec/sandbox/tmp/tmp.B3JDZcqhVk/E---3.1_25071.p',fact_87_sup__idem)). 0.92/0.62 thf(f1632,plain,( 0.92/0.62 (((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ x @ (hF_Mirabelle_hinsert @ x @ (hF_Mirabelle_Abs_hf @ zero_zero_nat))) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ x @ (hF_Mirabelle_hinsert @ y @ (hF_Mirabelle_Abs_hf @ zero_zero_nat))) @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)))) = $true)), 0.92/0.62 inference(boolean_simplification,[status(thm)],[f1631])). 0.92/0.62 thf(f1631,plain,( 0.92/0.62 ($true = (~ (~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ x @ (hF_Mirabelle_hinsert @ x @ (hF_Mirabelle_Abs_hf @ zero_zero_nat))) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ x @ (hF_Mirabelle_hinsert @ y @ (hF_Mirabelle_Abs_hf @ zero_zero_nat))) @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)))))))), 0.92/0.62 inference(beta_eta_normalization,[status(thm)],[f1401])). 0.92/0.62 thf(f1401,plain,( 0.92/0.62 ($true = (~ (~ ((hF_Mirabelle_Abs_hf @ zero_zero_nat) = ((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_Abs_hf @ zero_zero_nat))) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y1 @ (hF_Mirabelle_Abs_hf @ zero_zero_nat))) @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)))))) @ x @ y)))))), 0.92/0.62 inference(definition_unfolding,[status(thm)],[f1074,f1099,f1369])). 0.92/0.62 thf(f1369,plain,( 0.92/0.62 (hF_Mirabelle_hpair = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_Abs_hf @ zero_zero_nat))) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y1 @ (hF_Mirabelle_Abs_hf @ zero_zero_nat))) @ (hF_Mirabelle_Abs_hf @ zero_zero_nat)))))))), 0.92/0.62 inference(definition_unfolding,[status(thm)],[f1135,f1099,f1099,f1099])). 0.92/0.62 thf(f1135,plain,( 0.92/0.62 (hF_Mirabelle_hpair = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y0 @ zero_z189798548lle_hf)) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y1 @ zero_z189798548lle_hf)) @ zero_z189798548lle_hf))))))), 0.92/0.62 inference(cnf_transformation,[status(thm)],[f621])). 0.92/0.62 thf(f621,plain,( 0.92/0.62 (hF_Mirabelle_hpair = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y0 @ zero_z189798548lle_hf)) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y1 @ zero_z189798548lle_hf)) @ zero_z189798548lle_hf))))))), 0.92/0.62 inference(fool_elimination,[status(thm)],[f620])). 0.92/0.62 thf(f620,plain,( 0.92/0.62 (hF_Mirabelle_hpair = (^[X0 : hF_Mirabelle_hf, X1 : hF_Mirabelle_hf] : (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ X0 @ (hF_Mirabelle_hinsert @ X0 @ zero_z189798548lle_hf)) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ X0 @ (hF_Mirabelle_hinsert @ X1 @ zero_z189798548lle_hf)) @ zero_z189798548lle_hf))))), 0.92/0.62 inference(rectify,[status(thm)],[f83])). 0.92/0.62 thf(f83,axiom,( 0.92/0.62 (hF_Mirabelle_hpair = (^[X8 : hF_Mirabelle_hf, X9 : hF_Mirabelle_hf] : (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ X8 @ (hF_Mirabelle_hinsert @ X8 @ zero_z189798548lle_hf)) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ X8 @ (hF_Mirabelle_hinsert @ X9 @ zero_z189798548lle_hf)) @ zero_z189798548lle_hf))))), 0.92/0.62 file('/export/starexec/sandbox/tmp/tmp.B3JDZcqhVk/E---3.1_25071.p',fact_14_hpair__def_H)). 0.92/0.62 thf(f1074,plain,( 0.92/0.62 ($true = (~ (~ (zero_z189798548lle_hf = (hF_Mirabelle_hpair @ x @ y)))))), 0.92/0.62 inference(cnf_transformation,[status(thm)],[f1001])). 0.92/0.62 thf(f1001,plain,( 0.92/0.62 ($true = (~ (~ (zero_z189798548lle_hf = (hF_Mirabelle_hpair @ x @ y)))))), 0.92/0.62 inference(fool_elimination,[status(thm)],[f85])). 0.92/0.62 thf(f85,negated_conjecture,( 0.92/0.62 ~(zero_z189798548lle_hf != (hF_Mirabelle_hpair @ x @ y))), 0.92/0.62 inference(negated_conjecture,[status(cth)],[f84])). 0.92/0.62 thf(f84,conjecture,( 0.92/0.62 (zero_z189798548lle_hf != (hF_Mirabelle_hpair @ x @ y))), 0.92/0.62 file('/export/starexec/sandbox/tmp/tmp.B3JDZcqhVk/E---3.1_25071.p',conj_0)). 0.92/0.62 % SZS output end Proof for E---3.1_25071 0.92/0.62 % (25340)------------------------------ 0.92/0.62 % (25340)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.92/0.62 % (25340)Termination reason: Refutation 0.92/0.62 0.92/0.62 % (25340)Memory used [KB]: 7547 0.92/0.62 % (25340)Time elapsed: 0.155 s 0.92/0.62 % (25340)Instructions burned: 283 (million) 0.92/0.62 % (25340)------------------------------ 0.92/0.62 % (25340)------------------------------ 0.92/0.62 % (25292)Success in time 0.211 s 0.92/0.62 EOF