0.00/0.01 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.01 % Command : run_vampire %s %d THM 0.02/0.29 % Computer : n012.cluster.edu 0.02/0.29 % Model : x86_64 x86_64 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.02/0.29 % Memory : 8046.5625MB 0.02/0.29 % OS : Linux 6.8.0-71-generic 0.02/0.29 % CPULimit : 1440 0.02/0.29 % WCLimit : 180 0.02/0.29 % DateTime : Mon Jul 27 11:54:33 UTC 2026 0.02/0.29 % CPUTime : 0.02/0.31 This is a THF_ problem 0.02/0.31 Running higher-order theorem proving 0.08/0.34 Running /export/starexec/sandbox2/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/sandbox2/tmp/tmp.AKaD5v6IBd/E---3.1_1982101.p -m 16384 -t 180 0.08/0.38 % (1982147)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_1982101 for (1799ds/27Mi) 0.08/0.38 % (1982146)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_1982101 for (1799ds/4Mi) 0.08/0.38 % (1982145)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_1982101 for (1799ds/183Mi) 0.08/0.38 % (1982148)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_1982101 for (1799ds/2Mi) 0.08/0.38 % (1982149)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_1982101 for (1799ds/2Mi) 0.08/0.38 % (1982148)Instruction limit reached! 0.08/0.38 % (1982148)------------------------------ 0.08/0.38 % (1982148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.08/0.38 % (1982148)Termination reason: Unknown 0.08/0.38 % (1982148)Termination phase: shuffling 0.08/0.38 0.08/0.38 % (1982148)Memory used [KB]: 1535 0.08/0.38 % (1982148)Time elapsed: 0.002 s 0.08/0.38 % (1982148)Instructions burned: 2 (million) 0.08/0.38 % (1982148)------------------------------ 0.08/0.38 % (1982148)------------------------------ 0.08/0.38 % (1982149)Instruction limit reached! 0.08/0.38 % (1982149)------------------------------ 0.08/0.38 % (1982149)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.08/0.38 % (1982149)Termination reason: Unknown 0.08/0.38 % (1982149)Termination phase: shuffling 0.08/0.38 0.08/0.38 % (1982149)Memory used [KB]: 1535 0.08/0.38 % (1982149)Time elapsed: 0.002 s 0.08/0.38 % (1982149)Instructions burned: 2 (million) 0.08/0.38 % (1982149)------------------------------ 0.08/0.38 % (1982149)------------------------------ 0.08/0.38 % (1982146)Instruction limit reached! 0.08/0.38 % (1982146)------------------------------ 0.08/0.38 % (1982146)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.08/0.38 % (1982146)Termination reason: Unknown 0.08/0.38 % (1982146)Termination phase: shuffling 0.08/0.38 0.08/0.38 % (1982146)Memory used [KB]: 1535 0.08/0.38 % (1982146)Time elapsed: 0.003 s 0.08/0.38 % (1982146)Instructions burned: 4 (million) 0.08/0.38 % (1982146)------------------------------ 0.08/0.38 % (1982146)------------------------------ 0.08/0.39 % (1982151)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_1982101 for (1799ds/18Mi) 0.08/0.39 % (1982147)Instruction limit reached! 0.08/0.39 % (1982147)------------------------------ 0.08/0.39 % (1982147)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.08/0.39 % (1982147)Termination reason: Unknown 0.08/0.39 % (1982147)Termination phase: shuffling 0.08/0.39 0.08/0.39 % (1982147)Memory used [KB]: 2046 0.08/0.39 % (1982147)Time elapsed: 0.011 s 0.08/0.39 % (1982147)Instructions burned: 29 (million) 0.08/0.39 % (1982147)------------------------------ 0.08/0.39 % (1982147)------------------------------ 0.08/0.39 % (1982152)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_1982101 for (1799ds/3Mi) 0.08/0.39 % (1982153)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_1982101 for (1799ds/37Mi) 0.08/0.39 % (1982154)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_1982101 for (1799ds/15Mi) 0.08/0.39 % (1982152)Instruction limit reached! 0.08/0.39 % (1982152)------------------------------ 0.08/0.39 % (1982152)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.08/0.39 % (1982152)Termination reason: Unknown 0.08/0.39 % (1982152)Termination phase: shuffling 0.08/0.39 0.08/0.39 % (1982152)Memory used [KB]: 1535 0.08/0.39 % (1982152)Time elapsed: 0.002 s 0.08/0.39 % (1982152)Instructions burned: 3 (million) 0.08/0.39 % (1982152)------------------------------ 0.08/0.39 % (1982152)------------------------------ 0.08/0.39 % (1982150)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_1982101 for (1799ds/275Mi) 0.08/0.40 % (1982154)Instruction limit reached! 0.08/0.40 % (1982154)------------------------------ 0.08/0.40 % (1982154)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.08/0.40 % (1982154)Termination reason: Unknown 0.08/0.40 % (1982154)Termination phase: shuffling 0.08/0.40 0.08/0.40 % (1982154)Memory used [KB]: 1791 0.08/0.40 % (1982154)Time elapsed: 0.006 s 0.08/0.40 % (1982154)Instructions burned: 15 (million) 0.08/0.40 % (1982154)------------------------------ 0.08/0.40 % (1982154)------------------------------ 0.08/0.40 % (1982155)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_1982101 for (1799ds/3Mi) 0.08/0.40 % (1982156)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_1982101 for (1799ds/1041Mi) 0.08/0.40 % (1982155)Instruction limit reached! 0.08/0.40 % (1982155)------------------------------ 0.08/0.40 % (1982155)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.08/0.40 % (1982155)Termination reason: Unknown 0.08/0.40 % (1982155)Termination phase: shuffling 0.08/0.40 0.08/0.40 % (1982155)Memory used [KB]: 1663 0.08/0.40 % (1982155)Time elapsed: 0.003 s 0.08/0.40 % (1982155)Instructions burned: 5 (million) 0.08/0.40 % (1982155)------------------------------ 0.08/0.40 % (1982155)------------------------------ 0.08/0.40 % (1982153)Instruction limit reached! 0.08/0.40 % (1982153)------------------------------ 0.08/0.40 % (1982153)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.08/0.40 % (1982153)Termination reason: Unknown 0.08/0.40 % (1982153)Termination phase: shuffling 0.08/0.40 0.08/0.40 % (1982153)Memory used [KB]: 2302 0.08/0.40 % (1982153)Time elapsed: 0.012 s 0.08/0.40 % (1982153)Instructions burned: 39 (million) 0.08/0.40 % (1982153)------------------------------ 0.08/0.40 % (1982153)------------------------------ 0.08/0.40 % (1982151)Instruction limit reached! 0.08/0.40 % (1982151)------------------------------ 0.08/0.40 % (1982151)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.08/0.40 % (1982151)Termination reason: Unknown 0.08/0.40 % (1982151)Termination phase: shuffling 0.08/0.40 0.08/0.40 % (1982151)Memory used [KB]: 1918 0.08/0.40 % (1982151)Time elapsed: 0.010 s 0.08/0.40 % (1982151)Instructions burned: 20 (million) 0.08/0.40 % (1982151)------------------------------ 0.08/0.40 % (1982151)------------------------------ 0.08/0.41 % (1982157)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_1982101 for (1799ds/7Mi) 0.08/0.41 % (1982157)Instruction limit reached! 0.08/0.41 % (1982157)------------------------------ 0.08/0.41 % (1982157)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.08/0.41 % (1982157)Termination reason: Unknown 0.08/0.41 % (1982157)Termination phase: shuffling 0.08/0.41 0.08/0.41 % (1982157)Memory used [KB]: 1663 0.08/0.41 % (1982157)Time elapsed: 0.004 s 0.08/0.41 % (1982157)Instructions burned: 9 (million) 0.08/0.41 % (1982157)------------------------------ 0.08/0.41 % (1982157)------------------------------ 0.08/0.41 % (1982159)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_1982101 for (1799ds/3Mi) 0.08/0.42 % (1982160)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_1982101 for (1799ds/3Mi) 0.08/0.42 % (1982158)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_1982101 for (1799ds/16Mi) 0.08/0.42 % (1982160)Instruction limit reached! 0.08/0.42 % (1982160)------------------------------ 0.08/0.42 % (1982160)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.08/0.42 % (1982160)Termination reason: Unknown 0.08/0.42 % (1982160)Termination phase: shuffling 0.08/0.42 0.08/0.42 % (1982160)Memory used [KB]: 1663 0.08/0.42 % (1982160)Time elapsed: 0.003 s 0.08/0.42 % (1982160)Instructions burned: 5 (million) 0.08/0.42 % (1982160)------------------------------ 0.08/0.42 % (1982160)------------------------------ 0.08/0.42 % (1982159)Instruction limit reached! 0.08/0.42 % (1982159)------------------------------ 0.08/0.42 % (1982159)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.08/0.42 % (1982159)Termination reason: Unknown 0.08/0.42 % (1982159)Termination phase: shuffling 0.08/0.42 0.08/0.42 % (1982159)Memory used [KB]: 1663 0.08/0.42 % (1982159)Time elapsed: 0.004 s 0.08/0.42 % (1982159)Instructions burned: 5 (million) 0.08/0.42 % (1982159)------------------------------ 0.08/0.42 % (1982159)------------------------------ 0.08/0.42 % (1982158)Instruction limit reached! 0.08/0.42 % (1982158)------------------------------ 0.08/0.42 % (1982158)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.08/0.42 % (1982158)Termination reason: Unknown 0.08/0.42 % (1982158)Termination phase: shuffling 0.08/0.42 0.08/0.42 % (1982158)Memory used [KB]: 1791 0.08/0.42 % (1982158)Time elapsed: 0.007 s 0.08/0.42 % (1982158)Instructions burned: 16 (million) 0.08/0.42 % (1982158)------------------------------ 0.08/0.42 % (1982158)------------------------------ 0.08/0.43 % (1982161)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_1982101 for (1799ds/7Mi) 0.08/0.43 % (1982163)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_1982101 for (1799ds/4Mi) 0.08/0.43 % (1982145)Instruction limit reached! 0.08/0.43 % (1982145)------------------------------ 0.08/0.43 % (1982145)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.08/0.43 % (1982145)Termination reason: Unknown 0.08/0.43 % (1982145)Termination phase: Saturation 0.08/0.43 0.08/0.43 % (1982145)Memory used [KB]: 7419 0.08/0.43 % (1982145)Time elapsed: 0.052 s 0.08/0.43 % (1982145)Instructions burned: 183 (million) 0.08/0.43 % (1982145)------------------------------ 0.08/0.43 % (1982145)------------------------------ 0.08/0.43 % (1982163)Instruction limit reached! 0.08/0.43 % (1982163)------------------------------ 0.08/0.43 % (1982163)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.08/0.43 % (1982163)Termination reason: Unknown 0.08/0.43 % (1982163)Termination phase: shuffling 0.08/0.43 0.08/0.43 % (1982163)Memory used [KB]: 1663 0.08/0.43 % (1982163)Time elapsed: 0.003 s 0.08/0.43 % (1982163)Instructions burned: 5 (million) 0.08/0.43 % (1982163)------------------------------ 0.08/0.43 % (1982163)------------------------------ 0.33/0.43 % (1982164)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_1982101 for (1799ds/18Mi) 0.33/0.43 % (1982161)Instruction limit reached! 0.33/0.43 % (1982161)------------------------------ 0.33/0.43 % (1982161)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.33/0.43 % (1982161)Termination reason: Unknown 0.33/0.43 % (1982161)Termination phase: shuffling 0.33/0.43 0.33/0.43 % (1982161)Memory used [KB]: 1663 0.33/0.43 % (1982161)Time elapsed: 0.005 s 0.33/0.43 % (1982161)Instructions burned: 8 (million) 0.33/0.43 % (1982161)------------------------------ 0.33/0.43 % (1982161)------------------------------ 0.33/0.44 % (1982150)Refutation not found, incomplete strategy 0.33/0.44 % (1982150)------------------------------ 0.33/0.44 % (1982150)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.33/0.44 % (1982150)Termination reason: Refutation not found, incomplete strategy 0.33/0.44 0.33/0.44 0.33/0.44 % (1982150)Memory used [KB]: 7036 0.33/0.44 % (1982150)Time elapsed: 0.058 s 0.33/0.44 % (1982150)Instructions burned: 86 (million) 0.33/0.44 % (1982150)------------------------------ 0.33/0.44 % (1982150)------------------------------ 0.33/0.44 % (1982162)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_1982101 for (1799ds/3Mi) 0.33/0.44 % (1982162)Instruction limit reached! 0.33/0.44 % (1982162)------------------------------ 0.33/0.44 % (1982162)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.33/0.44 % (1982162)Termination reason: Unknown 0.33/0.44 % (1982162)Termination phase: shuffling 0.33/0.44 0.33/0.44 % (1982162)Memory used [KB]: 1663 0.33/0.44 % (1982162)Time elapsed: 0.003 s 0.33/0.44 % (1982162)Instructions burned: 6 (million) 0.33/0.44 % (1982162)------------------------------ 0.33/0.44 % (1982162)------------------------------ 0.33/0.44 % (1982165)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_1982101 for (1799ds/710Mi) 0.33/0.44 % (1982166)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_1982101 for (1799ds/6Mi) 0.33/0.44 % (1982167)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_1982101 for (1799ds/902Mi) 0.33/0.44 % (1982164)Instruction limit reached! 0.33/0.44 % (1982164)------------------------------ 0.33/0.44 % (1982164)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.33/0.44 % (1982164)Termination reason: Unknown 0.33/0.44 % (1982164)Termination phase: shuffling 0.33/0.44 0.33/0.44 % (1982164)Memory used [KB]: 1791 0.33/0.44 % (1982164)Time elapsed: 0.009 s 0.33/0.44 % (1982164)Instructions burned: 18 (million) 0.33/0.44 % (1982164)------------------------------ 0.33/0.44 % (1982164)------------------------------ 0.33/0.45 % (1982166)Instruction limit reached! 0.33/0.45 % (1982166)------------------------------ 0.33/0.45 % (1982166)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.33/0.45 % (1982166)Termination reason: Unknown 0.33/0.45 % (1982166)Termination phase: shuffling 0.33/0.45 0.33/0.45 % (1982166)Memory used [KB]: 1663 0.33/0.45 % (1982166)Time elapsed: 0.004 s 0.33/0.45 % (1982166)Instructions burned: 8 (million) 0.33/0.45 % (1982166)------------------------------ 0.33/0.45 % (1982166)------------------------------ 0.33/0.45 % (1982170)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_1982101 for (1799ds/6Mi) 0.33/0.45 % (1982171)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_1982101 for (1799ds/377Mi) 0.33/0.46 % (1982169)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_1982101 for (1799ds/5Mi) 0.33/0.46 % (1982170)Instruction limit reached! 0.33/0.46 % (1982170)------------------------------ 0.33/0.46 % (1982170)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.33/0.46 % (1982170)Termination reason: Unknown 0.33/0.46 % (1982170)Termination phase: shuffling 0.33/0.46 0.33/0.46 % (1982170)Memory used [KB]: 1663 0.33/0.46 % (1982170)Time elapsed: 0.003 s 0.33/0.46 % (1982170)Instructions burned: 6 (million) 0.33/0.46 % (1982170)------------------------------ 0.33/0.46 % (1982170)------------------------------ 0.33/0.46 % (1982168)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_1982101 for (1799ds/21Mi) 0.33/0.46 % (1982165)Refutation not found, incomplete strategy 0.33/0.46 % (1982165)------------------------------ 0.33/0.46 % (1982165)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.33/0.46 % (1982165)Termination reason: Refutation not found, incomplete strategy 0.33/0.46 0.33/0.46 0.33/0.46 % (1982165)Memory used [KB]: 6652 0.33/0.46 % (1982165)Time elapsed: 0.019 s 0.33/0.46 % (1982165)Instructions burned: 57 (million) 0.33/0.46 % (1982165)------------------------------ 0.33/0.46 % (1982165)------------------------------ 0.33/0.46 % (1982169)Instruction limit reached! 0.33/0.46 % (1982169)------------------------------ 0.33/0.46 % (1982169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.33/0.46 % (1982169)Termination reason: Unknown 0.33/0.46 % (1982169)Termination phase: shuffling 0.33/0.46 0.33/0.46 % (1982169)Memory used [KB]: 1663 0.33/0.46 % (1982169)Time elapsed: 0.003 s 0.33/0.46 % (1982169)Instructions burned: 5 (million) 0.33/0.46 % (1982169)------------------------------ 0.33/0.46 % (1982169)------------------------------ 0.33/0.47 % (1982172)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_1982101 for (1799ds/779Mi) 0.33/0.47 % (1982168)Instruction limit reached! 0.33/0.47 % (1982168)------------------------------ 0.33/0.47 % (1982168)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.33/0.47 % (1982168)Termination reason: Unknown 0.33/0.47 % (1982168)Termination phase: shuffling 0.33/0.47 0.33/0.47 % (1982168)Memory used [KB]: 1918 0.33/0.47 % (1982168)Time elapsed: 0.010 s 0.33/0.47 % (1982168)Instructions burned: 22 (million) 0.33/0.47 % (1982168)------------------------------ 0.33/0.47 % (1982168)------------------------------ 0.33/0.48 % (1982175)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_1982101 for (1798ds/17Mi) 0.33/0.48 % (1982173)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_1982101 for (1799ds/19Mi) 0.33/0.48 % (1982174)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_1982101 for (1798ds/879Mi) 0.33/0.48 % (1982175)Instruction limit reached! 0.33/0.48 % (1982175)------------------------------ 0.33/0.48 % (1982175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.33/0.48 % (1982175)Termination reason: Unknown 0.33/0.48 % (1982175)Termination phase: shuffling 0.33/0.48 0.33/0.48 % (1982175)Memory used [KB]: 1791 0.33/0.48 % (1982175)Time elapsed: 0.007 s 0.33/0.48 % (1982175)Instructions burned: 18 (million) 0.33/0.48 % (1982175)------------------------------ 0.33/0.48 % (1982175)------------------------------ 0.33/0.49 % (1982173)Instruction limit reached! 0.33/0.49 % (1982173)------------------------------ 0.33/0.49 % (1982173)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.33/0.49 % (1982173)Termination reason: Unknown 0.33/0.49 % (1982173)Termination phase: shuffling 0.33/0.49 0.33/0.49 % (1982173)Memory used [KB]: 1918 0.33/0.49 % (1982173)Time elapsed: 0.010 s 0.33/0.49 % (1982173)Instructions burned: 20 (million) 0.33/0.49 % (1982173)------------------------------ 0.33/0.49 % (1982173)------------------------------ 0.33/0.49 % (1982176)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_1982101 for (1798ds/3Mi) 0.33/0.49 % (1982176)Instruction limit reached! 0.33/0.49 % (1982176)------------------------------ 0.33/0.49 % (1982176)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.33/0.49 % (1982176)Termination reason: Unknown 0.33/0.49 % (1982176)Termination phase: shuffling 0.33/0.49 0.33/0.49 % (1982176)Memory used [KB]: 1663 0.33/0.49 % (1982176)Time elapsed: 0.003 s 0.33/0.49 % (1982176)Instructions burned: 5 (million) 0.33/0.49 % (1982176)------------------------------ 0.33/0.49 % (1982176)------------------------------ 0.33/0.50 % (1982156)First to succeed. 0.33/0.50 % (1982156)Refutation found. Thanks to Tanya! 0.33/0.50 % SZS status Theorem for E---3.1_1982101 0.33/0.50 % SZS output start Proof for E---3.1_1982101 0.33/0.50 thf(type_def_5, type, list_a: $tType). 0.33/0.50 thf(type_def_7, type, set_list_a: $tType). 0.33/0.50 thf(type_def_8, type, a: $tType). 0.33/0.50 thf(type_def_9, type, set_a: $tType). 0.33/0.50 thf(type_def_10, type, nat: $tType). 0.33/0.50 thf(type_def_11, type, set_nat: $tType). 0.33/0.50 thf(type_def_12, type, list_multiset_list_a: $tType). 0.33/0.50 thf(type_def_13, type, multiset_list_a: $tType). 0.33/0.50 thf(type_def_14, type, list_multiset_a: $tType). 0.33/0.50 thf(type_def_15, type, multiset_a: $tType). 0.33/0.50 thf(type_def_16, type, list_nat: $tType). 0.33/0.50 thf(type_def_17, type, set_multiset_a: $tType). 0.33/0.50 thf(type_def_18, type, list_set_multiset_a: $tType). 0.33/0.50 thf(type_def_19, type, list_set_nat: $tType). 0.33/0.50 thf(type_def_20, type, list_set_a: $tType). 0.33/0.50 thf(type_def_21, type, list_set_list_list_a: $tType). 0.33/0.50 thf(type_def_22, type, set_list_list_list_a: $tType). 0.33/0.50 thf(type_def_23, type, list_set_list_set_a: $tType). 0.33/0.50 thf(type_def_24, type, set_list_list_set_a: $tType). 0.33/0.50 thf(type_def_25, type, list_set_list_a: $tType). 0.33/0.50 thf(type_def_26, type, set_list_list_a: $tType). 0.33/0.50 thf(type_def_27, type, set_list_multiset_a: $tType). 0.33/0.50 thf(type_def_28, type, set_list_nat: $tType). 0.33/0.50 thf(type_def_29, type, list_set_set_list_a: $tType). 0.33/0.50 thf(type_def_30, type, set_list_set_list_a: $tType). 0.33/0.50 thf(type_def_31, type, list_set_set_set_a: $tType). 0.33/0.50 thf(type_def_32, type, set_list_set_set_a: $tType). 0.33/0.50 thf(type_def_33, type, list_set_set_a: $tType). 0.33/0.50 thf(type_def_34, type, set_list_set_a: $tType). 0.33/0.50 thf(type_def_35, type, list_list_list_a: $tType). 0.33/0.50 thf(type_def_36, type, list_list_a: $tType). 0.33/0.50 thf(type_def_37, type, list_list_set_a: $tType). 0.33/0.50 thf(type_def_38, type, set_set_list_a: $tType). 0.33/0.50 thf(type_def_39, type, set_set_set_a: $tType). 0.33/0.50 thf(type_def_40, type, set_set_a: $tType). 0.33/0.50 thf(type_def_41, type, multis971982480list_a: $tType). 0.33/0.50 thf(type_def_42, type, multiset_multiset_a: $tType). 0.33/0.50 thf(type_def_43, type, multiset_nat: $tType). 0.33/0.50 thf(type_def_44, type, multiset_set_list_a: $tType). 0.33/0.50 thf(type_def_45, type, multiset_set_set_a: $tType). 0.33/0.50 thf(type_def_46, type, multiset_set_a: $tType). 0.33/0.50 thf(type_def_47, type, set_multiset_list_a: $tType). 0.33/0.50 thf(type_def_48, type, set_set_nat: $tType). 0.33/0.50 thf(func_def_0, type, set_list_list_list_a: $tType). 0.33/0.50 thf(func_def_1, type, multis971982480list_a: $tType). 0.33/0.50 thf(func_def_2, type, list_set_list_list_a: $tType). 0.33/0.50 thf(func_def_3, type, set_list_set_list_a: $tType). 0.33/0.50 thf(func_def_4, type, set_list_list_set_a: $tType). 0.33/0.50 thf(func_def_5, type, list_set_set_list_a: $tType). 0.33/0.50 thf(func_def_6, type, list_set_list_set_a: $tType). 0.33/0.50 thf(func_def_7, type, set_list_set_set_a: $tType). 0.33/0.50 thf(func_def_8, type, list_set_set_set_a: $tType). 0.33/0.50 thf(func_def_9, type, list_multiset_list_a: $tType). 0.33/0.50 thf(func_def_10, type, set_multiset_list_a: $tType). 0.33/0.50 thf(func_def_11, type, set_list_multiset_a: $tType). 0.33/0.50 thf(func_def_12, type, multiset_set_list_a: $tType). 0.33/0.50 thf(func_def_13, type, list_set_multiset_a: $tType). 0.33/0.50 thf(func_def_14, type, multiset_set_set_a: $tType). 0.33/0.50 thf(func_def_15, type, list_list_list_a: $tType). 0.33/0.50 thf(func_def_16, type, set_list_list_a: $tType). 0.33/0.50 thf(func_def_17, type, multiset_multiset_a: $tType). 0.33/0.50 thf(func_def_18, type, list_set_list_a: $tType). 0.33/0.50 thf(func_def_19, type, list_list_set_a: $tType). 0.33/0.50 thf(func_def_20, type, set_set_list_a: $tType). 0.33/0.50 thf(func_def_21, type, set_list_set_a: $tType). 0.33/0.50 thf(func_def_22, type, list_set_set_a: $tType). 0.33/0.50 thf(func_def_23, type, set_set_set_a: $tType). 0.33/0.50 thf(func_def_24, type, multiset_list_a: $tType). 0.33/0.50 thf(func_def_25, type, list_multiset_a: $tType). 0.33/0.50 thf(func_def_26, type, set_multiset_a: $tType). 0.33/0.50 thf(func_def_27, type, multiset_set_a: $tType). 0.33/0.50 thf(func_def_28, type, set_list_nat: $tType). 0.33/0.50 thf(func_def_29, type, list_set_nat: $tType). 0.33/0.50 thf(func_def_30, type, set_set_nat: $tType). 0.33/0.50 thf(func_def_31, type, list_list_a: $tType). 0.33/0.50 thf(func_def_32, type, set_list_a: $tType). 0.33/0.50 thf(func_def_33, type, list_set_a: $tType). 0.33/0.50 thf(func_def_34, type, multiset_nat: $tType). 0.33/0.50 thf(func_def_35, type, set_set_a: $tType). 0.33/0.50 thf(func_def_36, type, multiset_a: $tType). 0.33/0.50 thf(func_def_37, type, list_nat: $tType). 0.33/0.50 thf(func_def_38, type, set_nat: $tType). 0.33/0.50 thf(func_def_39, type, list_a: $tType). 0.33/0.50 thf(func_def_40, type, set_a: $tType). 0.33/0.50 thf(func_def_41, type, nat: $tType). 0.33/0.50 thf(func_def_42, type, a: $tType). 0.33/0.50 thf(func_def_43, type, bij_be94573046list_a: (list_a > list_a) > set_list_a > set_list_a > $o). 0.33/0.50 thf(func_def_44, type, bij_betw_list_a_a: (list_a > a) > set_list_a > set_a > $o). 0.33/0.50 thf(func_def_45, type, bij_betw_nat_nat: (nat > nat) > set_nat > set_nat > $o). 0.33/0.50 thf(func_def_46, type, bij_betw_a_list_a: (a > list_a) > set_a > set_list_a > $o). 0.33/0.50 thf(func_def_47, type, bij_betw_a_a: (a > a) > set_a > set_a > $o). 0.33/0.50 thf(func_def_48, type, inj_on_list_a_list_a: (list_a > list_a) > set_list_a > $o). 0.33/0.50 thf(func_def_49, type, inj_on_list_a_a: (list_a > a) > set_list_a > $o). 0.33/0.50 thf(func_def_50, type, inj_on_nat_nat: (nat > nat) > set_nat > $o). 0.33/0.50 thf(func_def_51, type, inj_on_a_list_a: (a > list_a) > set_a > $o). 0.33/0.50 thf(func_def_52, type, inj_on_a_a: (a > a) > set_a > $o). 0.33/0.50 thf(func_def_53, type, groups1271887971list_a: list_multiset_list_a > multiset_list_a). 0.33/0.50 thf(func_def_54, type, groups1592617181iset_a: list_multiset_a > multiset_a). 0.33/0.50 thf(func_def_55, type, groups921905271st_nat: list_nat > nat). 0.33/0.50 thf(func_def_56, type, groups1792256535list_a: list_a > a). 0.33/0.50 thf(func_def_57, type, hilber921249868list_a: set_list_a > (list_a > list_a) > list_a > list_a). 0.33/0.50 thf(func_def_58, type, hilber2125729734st_a_a: set_list_a > (list_a > a) > a > list_a). 0.33/0.50 thf(func_def_59, type, hilber815131374at_nat: set_nat > (nat > nat) > nat > nat). 0.33/0.50 thf(func_def_60, type, hilber165648082list_a: set_a > (a > list_a) > list_a > a). 0.33/0.50 thf(func_def_61, type, hilbert_inv_into_a_a: set_a > (a > a) > a > a). 0.33/0.50 thf(func_def_62, type, hilber2024005914iset_a: set_multiset_a > list_set_multiset_a > $o). 0.33/0.50 thf(func_def_63, type, hilber1014902394mp_nat: set_nat > list_set_nat > $o). 0.33/0.50 thf(func_def_64, type, hilber2037636820comp_a: set_a > list_set_a > $o). 0.33/0.50 thf(func_def_65, type, list_ex_set_a: (set_a > $o) > list_set_a > $o). 0.33/0.50 thf(func_def_66, type, list_ex_a: (a > $o) > list_a > $o). 0.33/0.50 thf(func_def_67, type, list_update_set_a: list_set_a > nat > set_a > list_set_a). 0.33/0.50 thf(func_def_68, type, list_update_a: list_a > nat > a > list_a). 0.33/0.50 thf(func_def_69, type, listset_list_list_a: list_set_list_list_a > set_list_list_list_a). 0.33/0.50 thf(func_def_70, type, listset_list_set_a: list_set_list_set_a > set_list_list_set_a). 0.33/0.50 thf(func_def_71, type, listset_list_a: list_set_list_a > set_list_list_a). 0.33/0.50 thf(func_def_72, type, listset_multiset_a: list_set_multiset_a > set_list_multiset_a). 0.33/0.50 thf(func_def_73, type, listset_nat: list_set_nat > set_list_nat). 0.33/0.50 thf(func_def_74, type, listset_set_list_a: list_set_set_list_a > set_list_set_list_a). 0.33/0.50 thf(func_def_75, type, listset_set_set_a: list_set_set_set_a > set_list_set_set_a). 0.33/0.50 thf(func_def_76, type, listset_set_a: list_set_set_a > set_list_set_a). 0.33/0.50 thf(func_def_77, type, listset_a: list_set_a > set_list_a). 0.33/0.50 thf(func_def_78, type, nth_list_list_a: list_list_list_a > nat > list_list_a). 0.33/0.50 thf(func_def_79, type, nth_list_set_a: list_list_set_a > nat > list_set_a). 0.33/0.50 thf(func_def_80, type, nth_list_a: list_list_a > nat > list_a). 0.33/0.50 thf(func_def_81, type, nth_multiset_a: list_multiset_a > nat > multiset_a). 0.33/0.50 thf(func_def_82, type, nth_nat: list_nat > nat > nat). 0.33/0.50 thf(func_def_83, type, nth_set_list_list_a: list_set_list_list_a > nat > set_list_list_a). 0.33/0.50 thf(func_def_84, type, nth_set_list_set_a: list_set_list_set_a > nat > set_list_set_a). 0.33/0.50 thf(func_def_85, type, nth_set_list_a: list_set_list_a > nat > set_list_a). 0.33/0.50 thf(func_def_86, type, nth_set_multiset_a: list_set_multiset_a > nat > set_multiset_a). 0.33/0.50 thf(func_def_87, type, nth_set_nat: list_set_nat > nat > set_nat). 0.33/0.50 thf(func_def_88, type, nth_set_set_list_a: list_set_set_list_a > nat > set_set_list_a). 0.33/0.50 thf(func_def_89, type, nth_set_set_set_a: list_set_set_set_a > nat > set_set_set_a). 0.33/0.50 thf(func_def_90, type, nth_set_set_a: list_set_set_a > nat > set_set_a). 0.33/0.50 thf(func_def_91, type, nth_set_a: list_set_a > nat > set_a). 0.33/0.50 thf(func_def_92, type, nth_a: list_a > nat > a). 0.33/0.50 thf(func_def_93, type, rev_list_a: list_list_a > list_list_a). 0.33/0.50 thf(func_def_94, type, rev_nat: list_nat > list_nat). 0.33/0.50 thf(func_def_95, type, rev_set_list_a: list_set_list_a > list_set_list_a). 0.33/0.50 thf(func_def_96, type, rev_set_set_a: list_set_set_a > list_set_set_a). 0.33/0.50 thf(func_def_97, type, rev_set_a: list_set_a > list_set_a). 0.33/0.50 thf(func_def_98, type, rev_a: list_a > list_a). 0.33/0.50 thf(func_def_99, type, comm_m324867663list_a: multis971982480list_a > multiset_list_a). 0.33/0.50 thf(func_def_100, type, comm_m2145643721iset_a: multiset_multiset_a > multiset_a). 0.33/0.50 thf(func_def_101, type, comm_m1100186507et_nat: multiset_nat > nat). 0.33/0.50 thf(func_def_102, type, comm_m543484931mset_a: multiset_a > a). 0.33/0.50 thf(func_def_103, type, mset_list_a: list_list_a > multiset_list_a). 0.33/0.50 thf(func_def_104, type, mset_multiset_list_a: list_multiset_list_a > multis971982480list_a). 0.33/0.50 thf(func_def_105, type, mset_multiset_a: list_multiset_a > multiset_multiset_a). 0.33/0.50 thf(func_def_106, type, mset_nat: list_nat > multiset_nat). 0.33/0.50 thf(func_def_107, type, mset_set_list_a: list_set_list_a > multiset_set_list_a). 0.33/0.50 thf(func_def_108, type, mset_set_set_a: list_set_set_a > multiset_set_set_a). 0.33/0.50 thf(func_def_109, type, mset_set_a: list_set_a > multiset_set_a). 0.33/0.50 thf(func_def_110, type, mset_a: list_a > multiset_a). 0.33/0.50 thf(func_def_111, type, set_mset_list_a: multiset_list_a > set_list_a). 0.33/0.50 thf(func_def_112, type, set_ms1660427399list_a: multis971982480list_a > set_multiset_list_a). 0.33/0.50 thf(func_def_113, type, set_mset_multiset_a: multiset_multiset_a > set_multiset_a). 0.33/0.50 thf(func_def_114, type, set_mset_set_a: multiset_set_a > set_set_a). 0.33/0.50 thf(func_def_115, type, set_mset_a: multiset_a > set_a). 0.33/0.50 thf(func_def_116, type, size_s575106428list_a: list_list_list_a > nat). 0.33/0.50 thf(func_def_117, type, size_s341332310_set_a: list_list_set_a > nat). 0.33/0.50 thf(func_def_118, type, size_s1427607542list_a: list_list_a > nat). 0.33/0.50 thf(func_def_119, type, size_s1657263798iset_a: list_multiset_a > nat). 0.33/0.50 thf(func_def_120, type, size_size_list_nat: list_nat > nat). 0.33/0.50 thf(func_def_121, type, size_s240404444list_a: list_set_list_list_a > nat). 0.33/0.50 thf(func_def_122, type, size_s926492982_set_a: list_set_list_set_a > nat). 0.33/0.50 thf(func_def_123, type, size_s1635937238list_a: list_set_list_a > nat). 0.33/0.50 thf(func_def_124, type, size_s802269334iset_a: list_set_multiset_a > nat). 0.33/0.50 thf(func_def_125, type, size_s577819178et_nat: list_set_nat > nat). 0.33/0.50 thf(func_def_126, type, size_s469631926list_a: list_set_set_list_a > nat). 0.33/0.50 thf(func_def_127, type, size_s726512144_set_a: list_set_set_set_a > nat). 0.33/0.50 thf(func_def_128, type, size_s739728560_set_a: list_set_set_a > nat). 0.33/0.50 thf(func_def_129, type, size_size_list_set_a: list_set_a > nat). 0.33/0.50 thf(func_def_130, type, size_size_list_a: list_a > nat). 0.33/0.50 thf(func_def_131, type, size_s657334288_set_a: multiset_set_a > nat). 0.33/0.50 thf(func_def_132, type, size_size_multiset_a: multiset_a > nat). 0.33/0.50 thf(func_def_133, type, ord_less_nat: nat > nat > $o). 0.33/0.50 thf(func_def_134, type, ord_less_set_list_a: set_list_a > set_list_a > $o). 0.33/0.50 thf(func_def_135, type, ord_less_set_nat: set_nat > set_nat > $o). 0.33/0.50 thf(func_def_136, type, ord_less_set_a: set_a > set_a > $o). 0.33/0.50 thf(func_def_137, type, ord_less_eq_o_nat: ($o > nat) > ($o > nat) > $o). 0.33/0.50 thf(func_def_138, type, ord_less_eq_nat: nat > nat > $o). 0.33/0.50 thf(func_def_139, type, ord_le1301786372list_a: set_list_a > set_list_a > $o). 0.33/0.50 thf(func_def_140, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 0.33/0.50 thf(func_def_141, type, ord_less_eq_set_a: set_a > set_a > $o). 0.33/0.50 thf(func_def_142, type, perm_set_a: list_set_a > list_set_a > $o). 0.33/0.50 thf(func_def_143, type, perm_a: list_a > list_a > $o). 0.33/0.50 thf(func_def_144, type, collect_list_list_a: (list_list_a > $o) > set_list_list_a). 0.33/0.50 thf(func_def_145, type, collect_list_set_a: (list_set_a > $o) > set_list_set_a). 0.33/0.50 thf(func_def_146, type, collect_list_a: (list_a > $o) > set_list_a). 0.33/0.50 thf(func_def_147, type, collect_multiset_a: (multiset_a > $o) > set_multiset_a). 0.33/0.50 thf(func_def_148, type, collect_nat: (nat > $o) > set_nat). 0.33/0.50 thf(func_def_149, type, collect_set_a: (set_a > $o) > set_set_a). 0.33/0.50 thf(func_def_150, type, collect_a: (a > $o) > set_a). 0.33/0.50 thf(func_def_151, type, image_list_nat_nat: (list_nat > nat) > set_list_nat > set_nat). 0.33/0.50 thf(func_def_152, type, image_list_a_list_a: (list_a > list_a) > set_list_a > set_list_a). 0.33/0.50 thf(func_def_153, type, image_list_a_a: (list_a > a) > set_list_a > set_a). 0.33/0.50 thf(func_def_154, type, image_nat_nat: (nat > nat) > set_nat > set_nat). 0.33/0.50 thf(func_def_155, type, image_a_list_a: (a > list_a) > set_a > set_list_a). 0.33/0.50 thf(func_def_156, type, image_a_a: (a > a) > set_a > set_a). 0.33/0.50 thf(func_def_157, type, set_ord_lessThan_nat: nat > set_nat). 0.33/0.50 thf(func_def_158, type, set_or1578766727list_a: set_list_a > set_set_list_a). 0.33/0.50 thf(func_def_159, type, set_or1597314339et_nat: set_nat > set_set_nat). 0.33/0.50 thf(func_def_160, type, set_or1164043265_set_a: set_a > set_set_a). 0.33/0.50 thf(func_def_161, type, member1511395513list_a: list_list_list_a > set_list_list_list_a > $o). 0.33/0.50 thf(func_def_162, type, member954073875_set_a: list_list_set_a > set_list_list_set_a > $o). 0.33/0.50 thf(func_def_163, type, member_list_list_a: list_list_a > set_list_list_a > $o). 0.33/0.50 thf(func_def_164, type, member518144627iset_a: list_multiset_a > set_list_multiset_a > $o). 0.33/0.50 thf(func_def_165, type, member_list_nat: list_nat > set_list_nat > $o). 0.33/0.50 thf(func_def_166, type, member101195155list_a: list_set_list_a > set_list_set_list_a > $o). 0.33/0.50 thf(func_def_167, type, member814963949_set_a: list_set_set_a > set_list_set_set_a > $o). 0.33/0.50 thf(func_def_168, type, member_list_set_a: list_set_a > set_list_set_a > $o). 0.33/0.50 thf(func_def_169, type, member_list_a: list_a > set_list_a > $o). 0.33/0.50 thf(func_def_170, type, member528267379list_a: multiset_list_a > set_multiset_list_a > $o). 0.33/0.50 thf(func_def_171, type, member_multiset_a: multiset_a > set_multiset_a > $o). 0.33/0.50 thf(func_def_172, type, member_nat: nat > set_nat > $o). 0.33/0.50 thf(func_def_173, type, member_set_list_a: set_list_a > set_set_list_a > $o). 0.33/0.50 thf(func_def_174, type, member_set_nat: set_nat > set_set_nat > $o). 0.33/0.50 thf(func_def_175, type, member_set_set_a: set_set_a > set_set_set_a > $o). 0.33/0.50 thf(func_def_176, type, member_set_a: set_a > set_set_a > $o). 0.33/0.50 thf(func_def_177, type, member_a: a > set_a > $o). 0.33/0.50 thf(func_def_178, type, a2: set_a). 0.33/0.50 thf(func_def_179, type, a3: a). 0.33/0.50 thf(func_def_180, type, f: nat > nat). 0.33/0.50 thf(func_def_181, type, g: nat > nat). 0.33/0.50 thf(func_def_182, type, qs2: list_a). 0.33/0.50 thf(func_def_183, type, qs: list_a). 0.33/0.50 thf(func_def_184, type, ss1: list_set_a). 0.33/0.50 thf(func_def_185, type, ss2: list_set_a). 0.33/0.50 thf(func_def_207, type, ph1: !>[X0: $tType]:(X0)). 0.33/0.50 thf(func_def_208, type, sK2: nat > nat). 0.33/0.50 thf(f1734,plain,( 0.33/0.50 $false), 0.33/0.50 inference(trivial_inequality_removal,[status(thm)],[f1733])). 0.33/0.50 thf(f1733,plain,( 0.33/0.50 ($true = $false)), 0.33/0.50 inference(forward_demodulation,[status(thm)],[f1731,f1662])). 0.33/0.50 thf(f1662,plain,( 0.33/0.50 ($false = ((groups1792256535list_a @ qs) = (groups1792256535list_a @ qs2)))), 0.33/0.50 inference(not_proxy_clausification,[status(thm)],[f1471])). 0.33/0.50 thf(f1471,plain,( 0.33/0.50 ((~ ((groups1792256535list_a @ qs) = (groups1792256535list_a @ qs2))) = $true)), 0.33/0.50 inference(definition_unfolding,[status(thm)],[f1236,f1149])). 0.33/0.50 thf(f1149,plain,( 0.33/0.50 (a3 = (groups1792256535list_a @ qs))), 0.33/0.50 inference(cnf_transformation,[status(thm)],[f739])). 0.33/0.50 thf(f739,plain,( 0.33/0.50 (a3 = (groups1792256535list_a @ qs))), 0.33/0.50 inference(fool_elimination,[status(thm)],[f195])). 0.33/0.50 thf(f195,axiom,( 0.33/0.50 (a3 = (groups1792256535list_a @ qs))), 0.33/0.50 file('/export/starexec/sandbox2/tmp/tmp.AKaD5v6IBd/E---3.1_1982101.p',fact_2_a)). 0.33/0.50 thf(f1236,plain,( 0.33/0.50 ((~ (a3 = (groups1792256535list_a @ qs2))) = $true)), 0.33/0.50 inference(cnf_transformation,[status(thm)],[f940])). 0.33/0.50 thf(f940,plain,( 0.33/0.50 ((~ (a3 = (groups1792256535list_a @ qs2))) = $true)), 0.33/0.50 inference(fool_elimination,[status(thm)],[f257])). 0.33/0.50 thf(f257,negated_conjecture,( 0.33/0.50 ~(a3 = (groups1792256535list_a @ qs2))), 0.33/0.50 inference(negated_conjecture,[status(cth)],[f256])). 0.33/0.50 thf(f256,conjecture,( 0.33/0.50 (a3 = (groups1792256535list_a @ qs2))), 0.33/0.50 file('/export/starexec/sandbox2/tmp/tmp.AKaD5v6IBd/E---3.1_1982101.p',conj_0)). 0.33/0.50 thf(f1731,plain,( 0.33/0.50 ($true = ((groups1792256535list_a @ qs) = (groups1792256535list_a @ qs2)))), 0.33/0.50 inference(backward_demodulation,[status(thm)],[f1728,f1727])). 0.33/0.50 thf(f1727,plain,( 0.33/0.50 ( ! [X1 : list_a] : (((groups1792256535list_a @ X1) = (comm_m543484931mset_a @ (mset_a @ X1)))) )), 0.33/0.50 inference(equality_proxy_clausification,[status(thm)],[f1726])). 0.33/0.50 thf(f1726,plain,( 0.33/0.50 ( ! [X1 : list_a] : (($true = ((groups1792256535list_a @ X1) = (comm_m543484931mset_a @ (mset_a @ X1))))) )), 0.33/0.50 inference(beta_eta_normalization,[status(thm)],[f1725])). 0.33/0.50 thf(f1725,plain,( 0.33/0.50 ( ! [X1 : list_a] : (($true = ((^[Y0 : list_a]: ((groups1792256535list_a @ Y0) = (comm_m543484931mset_a @ (mset_a @ Y0)))) @ X1))) )), 0.33/0.50 inference(pi_clausification,[status(thm)],[f1135])). 0.33/0.50 thf(f1135,plain,( 0.33/0.50 ((!! @ list_a @ (^[Y0 : list_a]: ((groups1792256535list_a @ Y0) = (comm_m543484931mset_a @ (mset_a @ Y0))))) = $true)), 0.33/0.50 inference(cnf_transformation,[status(thm)],[f382])). 0.33/0.50 thf(f382,plain,( 0.33/0.50 ((!! @ list_a @ (^[Y0 : list_a]: ((groups1792256535list_a @ Y0) = (comm_m543484931mset_a @ (mset_a @ Y0))))) = $true)), 0.33/0.50 inference(fool_elimination,[status(thm)],[f381])). 0.33/0.50 thf(f381,plain,( 0.33/0.50 ! [X0 : list_a] : ((groups1792256535list_a @ X0) = (comm_m543484931mset_a @ (mset_a @ X0)))), 0.33/0.50 inference(rectify,[status(thm)],[f223])). 0.33/0.50 thf(f223,axiom,( 0.33/0.50 ! [X6 : list_a] : ((groups1792256535list_a @ X6) = (comm_m543484931mset_a @ (mset_a @ X6)))), 0.33/0.50 file('/export/starexec/sandbox2/tmp/tmp.AKaD5v6IBd/E---3.1_1982101.p',fact_24_sum__mset__sum__list)). 0.33/0.50 thf(f1728,plain,( 0.33/0.50 ($true = ((groups1792256535list_a @ qs) = (comm_m543484931mset_a @ (mset_a @ qs2))))), 0.33/0.50 inference(superposition,[status(thm)],[f1726,f1224])). 0.33/0.50 thf(f1224,plain,( 0.33/0.50 ((mset_a @ qs2) = (mset_a @ qs))), 0.33/0.50 inference(cnf_transformation,[status(thm)],[f660])). 0.33/0.50 thf(f660,plain,( 0.33/0.50 ((mset_a @ qs2) = (mset_a @ qs))), 0.33/0.50 inference(fool_elimination,[status(thm)],[f119])). 0.33/0.50 thf(f119,axiom,( 0.33/0.50 ((mset_a @ qs2) = (mset_a @ qs))), 0.33/0.50 file('/export/starexec/sandbox2/tmp/tmp.AKaD5v6IBd/E---3.1_1982101.p',fact_0__092_060open_062mset_Aqs2_A_061_Amset_Aqs_092_060close_062)). 0.33/0.50 % SZS output end Proof for E---3.1_1982101 0.33/0.50 % (1982156)------------------------------ 0.33/0.50 % (1982156)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.33/0.50 % (1982156)Termination reason: Refutation 0.33/0.50 0.33/0.50 % (1982156)Memory used [KB]: 8059 0.33/0.50 % (1982156)Time elapsed: 0.098 s 0.33/0.50 % (1982156)Instructions burned: 363 (million) 0.33/0.50 % (1982156)------------------------------ 0.33/0.50 % (1982156)------------------------------ 0.33/0.50 % (1982144)Success in time 0.144 s 0.33/0.50 EOF