0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : run_vampire %s %d THM 0.11/0.32 % Computer : n008.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1920 0.11/0.32 % WCLimit : 240 0.11/0.32 % DateTime : Wed Jul 30 02:02:49 EDT 2025 0.11/0.33 % CPUTime : 0.11/0.34 This is a THF_ problem 0.11/0.34 Running higher-order theorem proving 0.11/0.39 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.LqCvm3WbLz/E---3.1_16816.p -m 16384 -t 240 0.24/0.43 % (17071)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_16816 for (2399ds/275Mi) 0.24/0.43 % (17067)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_16816 for (2399ds/4Mi) 0.24/0.43 % (17072)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_16816 for (2399ds/18Mi) 0.24/0.43 % (17066)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_16816 for (2399ds/183Mi) 0.24/0.43 % (17068)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_16816 for (2399ds/27Mi) 0.24/0.43 % (17070)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_16816 for (2399ds/2Mi) 0.24/0.44 % (17069)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_16816 for (2399ds/2Mi) 0.24/0.44 % (17070)Instruction limit reached! 0.24/0.44 % (17070)------------------------------ 0.24/0.44 % (17070)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.44 % (17070)Termination reason: Unknown 0.24/0.44 % (17070)Termination phase: shuffling 0.24/0.44 0.24/0.44 % (17070)Memory used [KB]: 1407 0.24/0.44 % (17070)Time elapsed: 0.003 s 0.24/0.44 % (17070)Instructions burned: 2 (million) 0.24/0.44 % (17070)------------------------------ 0.24/0.44 % (17070)------------------------------ 0.24/0.44 % (17067)Instruction limit reached! 0.24/0.44 % (17067)------------------------------ 0.24/0.44 % (17067)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.44 % (17067)Termination reason: Unknown 0.24/0.44 % (17067)Termination phase: shuffling 0.24/0.44 0.24/0.44 % (17067)Memory used [KB]: 1407 0.24/0.44 % (17067)Time elapsed: 0.005 s 0.24/0.44 % (17067)Instructions burned: 5 (million) 0.24/0.44 % (17067)------------------------------ 0.24/0.44 % (17067)------------------------------ 0.24/0.44 % (17069)Instruction limit reached! 0.24/0.44 % (17069)------------------------------ 0.24/0.44 % (17069)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.44 % (17069)Termination reason: Unknown 0.24/0.44 % (17069)Termination phase: shuffling 0.24/0.44 0.24/0.44 % (17069)Memory used [KB]: 1407 0.24/0.44 % (17069)Time elapsed: 0.004 s 0.24/0.44 % (17069)Instructions burned: 3 (million) 0.24/0.44 % (17069)------------------------------ 0.24/0.44 % (17069)------------------------------ 0.24/0.45 % (17072)Instruction limit reached! 0.24/0.45 % (17072)------------------------------ 0.24/0.45 % (17072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.45 % (17072)Termination reason: Unknown 0.24/0.45 % (17072)Termination phase: shuffling 0.24/0.45 0.24/0.45 % (17072)Memory used [KB]: 1791 0.24/0.45 % (17072)Time elapsed: 0.014 s 0.24/0.45 % (17072)Instructions burned: 19 (million) 0.24/0.45 % (17072)------------------------------ 0.24/0.45 % (17072)------------------------------ 0.24/0.45 % (17068)Instruction limit reached! 0.24/0.45 % (17068)------------------------------ 0.24/0.45 % (17068)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.45 % (17068)Termination reason: Unknown 0.24/0.45 % (17068)Termination phase: Property scanning 0.24/0.45 0.24/0.45 % (17068)Memory used [KB]: 2046 0.24/0.45 % (17068)Time elapsed: 0.019 s 0.24/0.45 % (17068)Instructions burned: 28 (million) 0.24/0.45 % (17068)------------------------------ 0.24/0.45 % (17068)------------------------------ 0.24/0.45 % (17090)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_16816 for (2399ds/3Mi) 0.24/0.46 % (17092)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_16816 for (2399ds/15Mi) 0.24/0.46 % (17091)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_16816 for (2399ds/37Mi) 0.24/0.46 % (17090)Instruction limit reached! 0.24/0.46 % (17090)------------------------------ 0.24/0.46 % (17090)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.46 % (17090)Termination reason: Unknown 0.24/0.46 % (17090)Termination phase: shuffling 0.24/0.46 0.24/0.46 % (17090)Memory used [KB]: 1407 0.24/0.46 % (17090)Time elapsed: 0.005 s 0.24/0.46 % (17090)Instructions burned: 4 (million) 0.24/0.46 % (17096)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_16816 for (2399ds/3Mi) 0.24/0.46 % (17090)------------------------------ 0.24/0.46 % (17090)------------------------------ 0.24/0.46 % (17096)Instruction limit reached! 0.24/0.46 % (17096)------------------------------ 0.24/0.46 % (17096)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.46 % (17096)Termination reason: Unknown 0.24/0.46 % (17096)Termination phase: shuffling 0.24/0.46 0.24/0.46 % (17096)Memory used [KB]: 1407 0.24/0.46 % (17096)Time elapsed: 0.003 s 0.24/0.46 % (17096)Instructions burned: 5 (million) 0.24/0.46 % (17096)------------------------------ 0.24/0.46 % (17096)------------------------------ 0.24/0.47 % (17092)Instruction limit reached! 0.24/0.47 % (17092)------------------------------ 0.24/0.47 % (17092)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.47 % (17092)Termination reason: Unknown 0.24/0.47 % (17092)Termination phase: shuffling 0.24/0.47 0.24/0.47 % (17092)Memory used [KB]: 1663 0.24/0.47 % (17092)Time elapsed: 0.013 s 0.24/0.47 % (17092)Instructions burned: 16 (million) 0.24/0.47 % (17092)------------------------------ 0.24/0.47 % (17092)------------------------------ 0.24/0.47 % (17107)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_16816 for (2399ds/16Mi) 0.24/0.47 % (17100)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_16816 for (2399ds/1041Mi) 0.24/0.48 % (17107)Instruction limit reached! 0.24/0.48 % (17107)------------------------------ 0.24/0.48 % (17107)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.48 % (17107)Termination reason: Unknown 0.24/0.48 % (17107)Termination phase: shuffling 0.24/0.48 0.24/0.48 % (17107)Memory used [KB]: 1663 0.24/0.48 % (17107)Time elapsed: 0.007 s 0.24/0.48 % (17107)Instructions burned: 17 (million) 0.24/0.48 % (17107)------------------------------ 0.24/0.48 % (17107)------------------------------ 0.24/0.48 % (17104)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_16816 for (2399ds/7Mi) 0.24/0.48 % (17091)Instruction limit reached! 0.24/0.48 % (17091)------------------------------ 0.24/0.48 % (17091)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.48 % (17091)Termination reason: Unknown 0.24/0.48 % (17091)Termination phase: shuffling 0.24/0.48 0.24/0.48 % (17091)Memory used [KB]: 2174 0.24/0.48 % (17091)Time elapsed: 0.024 s 0.24/0.48 % (17091)Instructions burned: 37 (million) 0.24/0.48 % (17091)------------------------------ 0.24/0.48 % (17091)------------------------------ 0.24/0.48 % (17104)Instruction limit reached! 0.24/0.48 % (17104)------------------------------ 0.24/0.48 % (17104)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.48 % (17104)Termination reason: Unknown 0.24/0.48 % (17104)Termination phase: shuffling 0.24/0.48 0.24/0.48 % (17104)Memory used [KB]: 1535 0.24/0.48 % (17104)Time elapsed: 0.008 s 0.24/0.48 % (17104)Instructions burned: 7 (million) 0.24/0.48 % (17104)------------------------------ 0.24/0.48 % (17104)------------------------------ 0.24/0.49 % (17114)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_16816 for (2399ds/3Mi) 0.24/0.49 % (17119)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_16816 for (2399ds/3Mi) 0.24/0.49 % (17119)Instruction limit reached! 0.24/0.49 % (17119)------------------------------ 0.24/0.49 % (17119)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.49 % (17119)Termination reason: Unknown 0.24/0.49 % (17119)Termination phase: shuffling 0.24/0.49 0.24/0.49 % (17119)Memory used [KB]: 1407 0.24/0.49 % (17119)Time elapsed: 0.003 s 0.24/0.49 % (17119)Instructions burned: 3 (million) 0.24/0.49 % (17119)------------------------------ 0.24/0.49 % (17119)------------------------------ 0.24/0.49 % (17114)Instruction limit reached! 0.24/0.49 % (17114)------------------------------ 0.24/0.49 % (17114)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.49 % (17114)Termination reason: Unknown 0.24/0.49 % (17114)Termination phase: shuffling 0.24/0.49 0.24/0.49 % (17114)Memory used [KB]: 1407 0.24/0.49 % (17114)Time elapsed: 0.004 s 0.24/0.49 % (17114)Instructions burned: 3 (million) 0.24/0.49 % (17114)------------------------------ 0.24/0.49 % (17114)------------------------------ 0.24/0.50 % (17120)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_16816 for (2399ds/7Mi) 0.24/0.50 % (17123)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_16816 for (2399ds/4Mi) 0.24/0.50 % (17121)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_16816 for (2399ds/3Mi) 0.24/0.50 % (17123)Instruction limit reached! 0.24/0.50 % (17123)------------------------------ 0.24/0.50 % (17123)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.50 % (17123)Termination reason: Unknown 0.24/0.50 % (17123)Termination phase: shuffling 0.24/0.50 0.24/0.50 % (17123)Memory used [KB]: 1407 0.24/0.50 % (17123)Time elapsed: 0.003 s 0.24/0.50 % (17123)Instructions burned: 5 (million) 0.24/0.50 % (17123)------------------------------ 0.24/0.50 % (17123)------------------------------ 0.24/0.50 % (17120)Instruction limit reached! 0.24/0.50 % (17120)------------------------------ 0.24/0.50 % (17120)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.50 % (17120)Termination reason: Unknown 0.24/0.50 % (17120)Termination phase: shuffling 0.24/0.50 0.24/0.50 % (17120)Memory used [KB]: 1535 0.24/0.50 % (17120)Time elapsed: 0.007 s 0.24/0.50 % (17120)Instructions burned: 7 (million) 0.24/0.50 % (17120)------------------------------ 0.24/0.50 % (17120)------------------------------ 0.24/0.50 % (17121)Instruction limit reached! 0.24/0.50 % (17121)------------------------------ 0.24/0.50 % (17121)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.50 % (17121)Termination reason: Unknown 0.24/0.50 % (17121)Termination phase: shuffling 0.24/0.50 0.24/0.50 % (17121)Memory used [KB]: 1407 0.24/0.50 % (17121)Time elapsed: 0.005 s 0.24/0.50 % (17121)Instructions burned: 4 (million) 0.24/0.50 % (17121)------------------------------ 0.24/0.50 % (17121)------------------------------ 0.24/0.51 % (17124)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_16816 for (2399ds/18Mi) 0.24/0.51 % (17131)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_16816 for (2399ds/710Mi) 0.24/0.51 % (17071)Instruction limit reached! 0.24/0.51 % (17071)------------------------------ 0.24/0.51 % (17071)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.51 % (17071)Termination reason: Unknown 0.24/0.51 % (17071)Termination phase: Saturation 0.24/0.51 0.24/0.51 % (17071)Memory used [KB]: 7291 0.24/0.51 % (17071)Time elapsed: 0.089 s 0.24/0.51 % (17071)Instructions burned: 278 (million) 0.24/0.51 % (17071)------------------------------ 0.24/0.51 % (17071)------------------------------ 0.24/0.52 % (17124)Instruction limit reached! 0.24/0.52 % (17124)------------------------------ 0.24/0.52 % (17124)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.52 % (17124)Termination reason: Unknown 0.24/0.52 % (17124)Termination phase: shuffling 0.24/0.52 0.24/0.52 % (17124)Memory used [KB]: 1791 0.24/0.52 % (17124)Time elapsed: 0.013 s 0.24/0.52 % (17124)Instructions burned: 18 (million) 0.24/0.52 % (17124)------------------------------ 0.24/0.52 % (17124)------------------------------ 0.24/0.52 % (17132)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_16816 for (2399ds/6Mi) 0.24/0.52 % (17134)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_16816 for (2399ds/902Mi) 0.24/0.52 % (17132)Instruction limit reached! 0.24/0.52 % (17132)------------------------------ 0.24/0.52 % (17132)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.52 % (17132)Termination reason: Unknown 0.24/0.52 % (17132)Termination phase: shuffling 0.24/0.52 0.24/0.52 % (17132)Memory used [KB]: 1535 0.24/0.52 % (17132)Time elapsed: 0.006 s 0.24/0.52 % (17132)Instructions burned: 6 (million) 0.24/0.52 % (17132)------------------------------ 0.24/0.52 % (17132)------------------------------ 0.24/0.52 % (17136)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_16816 for (2398ds/21Mi) 0.24/0.52 % (17066)Instruction limit reached! 0.24/0.52 % (17066)------------------------------ 0.24/0.52 % (17066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.52 % (17066)Termination reason: Unknown 0.24/0.52 % (17066)Termination phase: Saturation 0.24/0.52 0.24/0.52 % (17066)Memory used [KB]: 7547 0.24/0.52 % (17066)Time elapsed: 0.092 s 0.24/0.52 % (17066)Instructions burned: 185 (million) 0.24/0.52 % (17066)------------------------------ 0.24/0.52 % (17066)------------------------------ 0.24/0.53 % (17136)Instruction limit reached! 0.24/0.53 % (17136)------------------------------ 0.24/0.53 % (17136)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.53 % (17136)Termination reason: Unknown 0.24/0.53 % (17136)Termination phase: shuffling 0.24/0.53 0.24/0.53 % (17136)Memory used [KB]: 1918 0.24/0.53 % (17136)Time elapsed: 0.008 s 0.24/0.53 % (17136)Instructions burned: 22 (million) 0.24/0.53 % (17136)------------------------------ 0.24/0.53 % (17136)------------------------------ 0.24/0.53 % (17137)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_16816 for (2398ds/5Mi) 0.24/0.53 % (17139)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_16816 for (2398ds/377Mi) 0.24/0.54 % (17137)Instruction limit reached! 0.24/0.54 % (17137)------------------------------ 0.24/0.54 % (17137)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.54 % (17137)Termination reason: Unknown 0.24/0.54 % (17137)Termination phase: shuffling 0.24/0.54 0.24/0.54 % (17137)Memory used [KB]: 1407 0.24/0.54 % (17137)Time elapsed: 0.004 s 0.24/0.54 % (17137)Instructions burned: 5 (million) 0.24/0.54 % (17137)------------------------------ 0.24/0.54 % (17137)------------------------------ 0.24/0.54 % (17138)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_16816 for (2398ds/6Mi) 0.24/0.54 % (17140)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_16816 for (2398ds/779Mi) 0.24/0.54 % (17138)Instruction limit reached! 0.24/0.54 % (17138)------------------------------ 0.24/0.54 % (17138)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.54 % (17138)Termination reason: Unknown 0.24/0.54 % (17138)Termination phase: shuffling 0.24/0.54 0.24/0.54 % (17138)Memory used [KB]: 1535 0.24/0.54 % (17138)Time elapsed: 0.005 s 0.24/0.54 % (17138)Instructions burned: 7 (million) 0.24/0.54 % (17138)------------------------------ 0.24/0.54 % (17138)------------------------------ 0.24/0.55 % (17141)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_16816 for (2398ds/19Mi) 0.24/0.56 % (17141)Instruction limit reached! 0.24/0.56 % (17141)------------------------------ 0.24/0.56 % (17141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.56 % (17142)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_16816 for (2398ds/879Mi) 0.24/0.56 % (17141)Termination reason: Unknown 0.24/0.56 % (17141)Termination phase: shuffling 0.24/0.56 0.24/0.56 % (17141)Memory used [KB]: 1791 0.24/0.56 % (17141)Time elapsed: 0.009 s 0.24/0.56 % (17141)Instructions burned: 20 (million) 0.24/0.56 % (17141)------------------------------ 0.24/0.56 % (17141)------------------------------ 0.24/0.57 % (17144)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_16816 for (2398ds/17Mi) 0.24/0.57 % (17144)Instruction limit reached! 0.24/0.57 % (17144)------------------------------ 0.24/0.57 % (17144)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.57 % (17144)Termination reason: Unknown 0.24/0.57 % (17144)Termination phase: shuffling 0.24/0.57 0.24/0.57 % (17144)Memory used [KB]: 1791 0.24/0.57 % (17144)Time elapsed: 0.007 s 0.24/0.57 % (17144)Instructions burned: 17 (million) 0.24/0.57 % (17144)------------------------------ 0.24/0.57 % (17144)------------------------------ 0.24/0.58 % (17149)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_16816 for (2398ds/3Mi) 0.24/0.59 % (17149)Instruction limit reached! 0.24/0.59 % (17149)------------------------------ 0.24/0.59 % (17149)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.59 % (17149)Termination reason: Unknown 0.24/0.59 % (17149)Termination phase: shuffling 0.24/0.59 0.24/0.59 % (17149)Memory used [KB]: 1407 0.24/0.59 % (17149)Time elapsed: 0.003 s 0.24/0.59 % (17149)Instructions burned: 4 (million) 0.24/0.59 % (17149)------------------------------ 0.24/0.59 % (17149)------------------------------ 1.47/0.60 % (17150)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_16816 for (2398ds/30Mi) 1.47/0.61 % (17100)First to succeed. 1.47/0.61 % (17100)Refutation found. Thanks to Tanya! 1.47/0.61 % SZS status Theorem for E---3.1_16816 1.47/0.61 % SZS output start Proof for E---3.1_16816 1.47/0.61 thf(type_def_5, type, set_HF_Mirabelle_hf: $tType). 1.47/0.61 thf(type_def_6, type, nat: $tType). 1.47/0.61 thf(type_def_8, type, set_nat: $tType). 1.47/0.61 thf(type_def_9, type, set_se933006839lle_hf: $tType). 1.47/0.61 thf(type_def_10, type, hF_Mirabelle_hf: $tType). 1.47/0.61 thf(func_def_0, type, set_se933006839lle_hf: $tType). 1.47/0.61 thf(func_def_1, type, set_HF_Mirabelle_hf: $tType). 1.47/0.61 thf(func_def_2, type, hF_Mirabelle_hf: $tType). 1.47/0.61 thf(func_def_3, type, set_nat: $tType). 1.47/0.61 thf(func_def_4, type, nat: $tType). 1.47/0.61 thf(func_def_5, type, finite1213132899lle_hf: set_HF_Mirabelle_hf > nat). 1.47/0.61 thf(func_def_6, type, finite_card_nat: set_nat > nat). 1.47/0.61 thf(func_def_7, type, finite90088345lle_hf: set_se933006839lle_hf > nat). 1.47/0.61 thf(func_def_8, type, finite586181922lle_hf: set_HF_Mirabelle_hf > $o). 1.47/0.61 thf(func_def_9, type, finite_finite_nat: set_nat > $o). 1.47/0.61 thf(func_def_10, type, finite1450550360lle_hf: set_se933006839lle_hf > $o). 1.47/0.61 thf(func_def_11, type, inj_on755450110lle_hf: (hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > $o). 1.47/0.61 thf(func_def_12, type, inj_on1874279374hf_nat: (hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > $o). 1.47/0.61 thf(func_def_13, type, inj_on1988990670lle_hf: (nat > hF_Mirabelle_hf) > set_nat > $o). 1.47/0.61 thf(func_def_14, type, inj_on_nat_nat: (nat > nat) > set_nat > $o). 1.47/0.61 thf(func_def_15, type, inj_on811196232lle_hf: (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > $o). 1.47/0.61 thf(func_def_16, type, zero_z189798548lle_hf: hF_Mirabelle_hf). 1.47/0.61 thf(func_def_17, type, zero_zero_nat: nat). 1.47/0.61 thf(func_def_18, type, hF_Mir818139703ollect: (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 1.47/0.61 thf(func_def_19, type, hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf). 1.47/0.61 thf(func_def_20, type, hF_Mirabelle_HUnion: hF_Mirabelle_hf > hF_Mirabelle_hf). 1.47/0.61 thf(func_def_21, type, hF_Mir1248913145eplace: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 1.47/0.61 thf(func_def_22, type, hF_Mirabelle_RepFun: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 1.57/0.61 thf(func_def_23, type, hF_Mirabelle_Replace: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 1.57/0.61 thf(func_def_24, type, hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf). 1.57/0.61 thf(func_def_25, type, hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o). 1.57/0.61 thf(func_def_26, type, ord_le1310584031lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o). 1.57/0.61 thf(func_def_27, type, ord_less_nat: nat > nat > $o). 1.57/0.61 thf(func_def_28, type, ord_le1344122901lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > $o). 1.57/0.61 thf(func_def_29, type, ord_less_set_nat: set_nat > set_nat > $o). 1.57/0.61 thf(func_def_30, type, ord_le2017230260lle_hf: ($o > hF_Mirabelle_hf) > ($o > hF_Mirabelle_hf) > $o). 1.57/0.61 thf(func_def_31, type, ord_less_eq_o_nat: ($o > nat) > ($o > nat) > $o). 1.57/0.61 thf(func_def_32, type, ord_le976219883lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o). 1.57/0.61 thf(func_def_33, type, ord_less_eq_nat: nat > nat > $o). 1.57/0.61 thf(func_def_34, type, ord_le432112161lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > $o). 1.57/0.61 thf(func_def_35, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 1.57/0.61 thf(func_def_36, type, order_1640852850lle_hf: (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 1.57/0.61 thf(func_def_37, type, order_Greatest_nat: (nat > $o) > nat). 1.57/0.61 thf(func_def_38, type, order_690706045lle_hf: (hF_Mirabelle_hf > hF_Mirabelle_hf) > $o). 1.57/0.61 thf(func_def_39, type, order_557194383hf_nat: (hF_Mirabelle_hf > nat) > $o). 1.57/0.61 thf(func_def_40, type, order_671905679lle_hf: (nat > hF_Mirabelle_hf) > $o). 1.57/0.61 thf(func_def_41, type, order_1631207636at_nat: (nat > nat) > $o). 1.57/0.61 thf(func_def_42, type, orderi1737556723lle_hf: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > $o). 1.57/0.61 thf(func_def_43, type, ordering_nat: (nat > nat > $o) > (nat > nat > $o) > $o). 1.57/0.61 thf(func_def_44, type, collec2046588256lle_hf: (hF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf). 1.57/0.61 thf(func_def_45, type, collec1758573718lle_hf: (set_HF_Mirabelle_hf > $o) > set_se933006839lle_hf). 1.57/0.61 thf(func_def_46, type, image_1743964010lle_hf: (hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf). 1.57/0.61 thf(func_def_47, type, image_131453538hf_nat: (hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > set_nat). 1.57/0.61 thf(func_def_48, type, image_246164834lle_hf: (nat > hF_Mirabelle_hf) > set_nat > set_HF_Mirabelle_hf). 1.57/0.61 thf(func_def_49, type, image_nat_nat: (nat > nat) > set_nat > set_nat). 1.57/0.61 thf(func_def_50, type, image_899003828lle_hf: (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > set_HF_Mirabelle_hf). 1.57/0.61 thf(func_def_51, type, set_or1544565540an_nat: nat > nat > set_nat). 1.57/0.61 thf(func_def_52, type, member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o). 1.57/0.61 thf(func_def_53, type, member_nat: nat > set_nat > $o). 1.57/0.61 thf(func_def_54, type, member1490636632lle_hf: set_HF_Mirabelle_hf > set_se933006839lle_hf > $o). 1.57/0.61 thf(func_def_55, type, a: hF_Mirabelle_hf). 1.57/0.61 thf(func_def_56, type, b: hF_Mirabelle_hf). 1.57/0.61 thf(f1928,plain,( 1.57/0.61 $false), 1.57/0.61 inference(trivial_inequality_removal,[status(thm)],[f1927])). 1.57/0.61 thf(f1927,plain,( 1.57/0.61 ($true = $false)), 1.57/0.61 inference(boolean_simplification,[status(thm)],[f1926])). 1.57/0.61 thf(f1926,plain,( 1.57/0.61 ($true = (~ $true))), 1.57/0.61 inference(forward_demodulation,[status(thm)],[f1688,f1703])). 1.57/0.61 thf(f1703,plain,( 1.57/0.61 ($true = (!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((member1367349282lle_hf @ Y0 @ (hF_Mirabelle_hfset @ a)) => (member1367349282lle_hf @ Y0 @ (hF_Mirabelle_hfset @ b))))))), 1.57/0.61 inference(beta_eta_normalization,[status(thm)],[f1649])). 1.57/0.61 thf(f1649,plain,( 1.57/0.61 ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (((^[Y1 : hF_Mirabelle_hf]: ((^[Y2 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y1 @ (hF_Mirabelle_hfset @ Y2))))) @ Y0 @ a) => ((^[Y1 : hF_Mirabelle_hf]: ((^[Y2 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y1 @ (hF_Mirabelle_hfset @ Y2))))) @ Y0 @ b)))) = $true)), 1.57/0.61 inference(definition_unfolding,[status(thm)],[f1386,f1071,f1071])). 1.57/0.61 thf(f1071,plain,( 1.57/0.61 (hF_Mirabelle_hmem = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1))))))), 1.57/0.61 inference(cnf_transformation,[status(thm)],[f469])). 1.57/0.61 thf(f469,plain,( 1.57/0.61 (hF_Mirabelle_hmem = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1))))))), 1.57/0.61 inference(fool_elimination,[status(thm)],[f468])). 1.57/0.61 thf(f468,plain,( 1.57/0.61 ((^[X0 : hF_Mirabelle_hf, X1 : hF_Mirabelle_hf] : (member1367349282lle_hf @ X0 @ (hF_Mirabelle_hfset @ X1))) = hF_Mirabelle_hmem)), 1.57/0.61 inference(rectify,[status(thm)],[f176])). 1.57/0.61 thf(f176,axiom,( 1.57/0.61 ((^[X4 : hF_Mirabelle_hf, X5 : hF_Mirabelle_hf] : (member1367349282lle_hf @ X4 @ (hF_Mirabelle_hfset @ X5))) = hF_Mirabelle_hmem)), 1.57/0.61 file('/export/starexec/sandbox/tmp/tmp.LqCvm3WbLz/E---3.1_16816.p',fact_70_hmem__def)). 1.57/0.61 thf(f1386,plain,( 1.57/0.61 ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ Y0 @ a) => (hF_Mirabelle_hmem @ Y0 @ b)))) = $true)), 1.57/0.61 inference(cnf_transformation,[status(thm)],[f894])). 1.57/0.61 thf(f894,plain,( 1.57/0.61 ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ Y0 @ a) => (hF_Mirabelle_hmem @ Y0 @ b)))) = $true)), 1.57/0.61 inference(fool_elimination,[status(thm)],[f893])). 1.57/0.61 thf(f893,plain,( 1.57/0.61 ! [X0 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ X0 @ a) => (hF_Mirabelle_hmem @ X0 @ b))), 1.57/0.61 inference(rectify,[status(thm)],[f9])). 1.57/0.61 thf(f9,axiom,( 1.57/0.61 ! [X20 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ X20 @ a) => (hF_Mirabelle_hmem @ X20 @ b))), 1.57/0.61 file('/export/starexec/sandbox/tmp/tmp.LqCvm3WbLz/E---3.1_16816.p',conj_0)). 1.57/0.61 thf(f1688,plain,( 1.57/0.61 ((~ (!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((member1367349282lle_hf @ Y0 @ (hF_Mirabelle_hfset @ a)) => (member1367349282lle_hf @ Y0 @ (hF_Mirabelle_hfset @ b)))))) = $true)), 1.57/0.61 inference(beta_eta_normalization,[status(thm)],[f1642])). 1.57/0.61 thf(f1642,plain,( 1.57/0.61 ((~ ((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: (((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y3 @ (hF_Mirabelle_hfset @ Y4))))) @ Y2 @ Y0) => ((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y3 @ (hF_Mirabelle_hfset @ Y4))))) @ Y2 @ Y1))))))) @ a @ b)) = $true)), 1.57/0.61 inference(definition_unfolding,[status(thm)],[f1377,f1399])). 1.57/0.61 thf(f1399,plain,( 1.57/0.61 (ord_le976219883lle_hf = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: (((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y3 @ (hF_Mirabelle_hfset @ Y4))))) @ Y2 @ Y0) => ((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: (member1367349282lle_hf @ Y3 @ (hF_Mirabelle_hfset @ Y4))))) @ Y2 @ Y1))))))))), 1.57/0.61 inference(definition_unfolding,[status(thm)],[f1245,f1071,f1071])). 1.57/0.61 thf(f1245,plain,( 1.57/0.61 (ord_le976219883lle_hf = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ Y2 @ Y0) => (hF_Mirabelle_hmem @ Y2 @ Y1))))))))), 1.57/0.61 inference(cnf_transformation,[status(thm)],[f852])). 1.57/0.61 thf(f852,plain,( 1.57/0.61 (ord_le976219883lle_hf = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ Y2 @ Y0) => (hF_Mirabelle_hmem @ Y2 @ Y1))))))))), 1.57/0.61 inference(fool_elimination,[status(thm)],[f851])). 1.57/0.61 thf(f851,plain,( 1.57/0.61 (ord_le976219883lle_hf = (^[X0 : hF_Mirabelle_hf, X1 : hF_Mirabelle_hf] : (! [X2 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ X2 @ X0) => (hF_Mirabelle_hmem @ X2 @ X1)))))), 1.57/0.61 inference(rectify,[status(thm)],[f171])). 1.57/0.61 thf(f171,axiom,( 1.57/0.61 (ord_le976219883lle_hf = (^[X73 : hF_Mirabelle_hf, X19 : hF_Mirabelle_hf] : (! [X25 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ X25 @ X73) => (hF_Mirabelle_hmem @ X25 @ X19)))))), 1.57/0.61 file('/export/starexec/sandbox/tmp/tmp.LqCvm3WbLz/E---3.1_16816.p',fact_6_less__eq__hf__def)). 1.57/0.61 thf(f1377,plain,( 1.57/0.61 ((~ (ord_le976219883lle_hf @ a @ b)) = $true)), 1.57/0.61 inference(cnf_transformation,[status(thm)],[f874])). 1.57/0.61 thf(f874,plain,( 1.57/0.61 ((~ (ord_le976219883lle_hf @ a @ b)) = $true)), 1.57/0.61 inference(fool_elimination,[status(thm)],[f873])). 1.57/0.61 thf(f873,plain,( 1.57/0.61 ~(ord_le976219883lle_hf @ a @ b)), 1.57/0.61 inference(rectify,[status(thm)],[f97])). 1.57/0.61 thf(f97,negated_conjecture,( 1.57/0.61 ~(ord_le976219883lle_hf @ a @ b)), 1.57/0.61 inference(negated_conjecture,[status(cth)],[f96])). 1.57/0.61 thf(f96,conjecture,( 1.57/0.61 (ord_le976219883lle_hf @ a @ b)), 1.57/0.61 file('/export/starexec/sandbox/tmp/tmp.LqCvm3WbLz/E---3.1_16816.p',conj_1)). 1.57/0.61 % SZS output end Proof for E---3.1_16816 1.57/0.61 % (17100)------------------------------ 1.57/0.61 % (17100)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.57/0.61 % (17100)Termination reason: Refutation 1.57/0.61 1.57/0.61 % (17100)Memory used [KB]: 7931 1.57/0.61 % (17100)Time elapsed: 0.143 s 1.57/0.61 % (17100)Instructions burned: 378 (million) 1.57/0.61 % (17100)------------------------------ 1.57/0.61 % (17100)------------------------------ 1.57/0.61 % (17047)Success in time 0.201 s 1.57/0.61 EOF