0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_vampire %s %d THM 0.14/0.39 % Computer : n002.cluster.edu 0.14/0.39 % Model : x86_64 x86_64 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.39 % Memory : 8046.5625MB 0.14/0.39 % OS : Linux 6.8.0-71-generic 0.14/0.39 % CPULimit : 1440 0.14/0.39 % WCLimit : 180 0.14/0.39 % DateTime : Mon Jul 27 12:39:29 UTC 2026 0.14/0.40 % CPUTime : 0.18/0.44 This is a THF_ problem 0.18/0.44 Running higher-order theorem proving 0.26/0.56 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.XfRWs9ScBT/E---3.1_3324989.p -m 16384 -t 180 0.34/0.65 % (3325035)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_3324989 for (1799ds/27Mi) 0.34/0.66 % (3325033)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_3324989 for (1799ds/183Mi) 0.34/0.66 % (3325034)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_3324989 for (1799ds/4Mi) 0.34/0.66 % (3325035)Instruction limit reached! 0.34/0.66 % (3325035)------------------------------ 0.34/0.66 % (3325035)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.66 % (3325035)Termination reason: Unknown 0.34/0.66 % (3325035)Termination phase: shuffling 0.34/0.66 0.34/0.66 % (3325035)Memory used [KB]: 1918 0.34/0.66 % (3325035)Time elapsed: 0.015 s 0.34/0.66 % (3325035)Instructions burned: 28 (million) 0.34/0.66 % (3325035)------------------------------ 0.34/0.66 % (3325035)------------------------------ 0.34/0.66 % (3325036)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_3324989 for (1799ds/2Mi) 0.34/0.66 % (3325037)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_3324989 for (1799ds/2Mi) 0.34/0.66 % (3325038)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_3324989 for (1799ds/275Mi) 0.34/0.66 % (3325039)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_3324989 for (1799ds/18Mi) 0.34/0.66 % (3325036)Instruction limit reached! 0.34/0.66 % (3325036)------------------------------ 0.34/0.66 % (3325036)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.66 % (3325036)Termination reason: Unknown 0.34/0.66 % (3325036)Termination phase: shuffling 0.34/0.66 0.34/0.66 % (3325036)Memory used [KB]: 1535 0.34/0.66 % (3325036)Time elapsed: 0.005 s 0.34/0.66 % (3325036)Instructions burned: 2 (million) 0.34/0.66 % (3325036)------------------------------ 0.34/0.66 % (3325036)------------------------------ 0.34/0.66 % (3325037)Instruction limit reached! 0.34/0.66 % (3325037)------------------------------ 0.34/0.66 % (3325037)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.66 % (3325037)Termination reason: Unknown 0.34/0.66 % (3325037)Termination phase: shuffling 0.34/0.66 0.34/0.66 % (3325037)Memory used [KB]: 1535 0.34/0.66 % (3325037)Time elapsed: 0.005 s 0.34/0.66 % (3325037)Instructions burned: 2 (million) 0.34/0.66 % (3325037)------------------------------ 0.34/0.66 % (3325037)------------------------------ 0.34/0.66 % (3325034)Instruction limit reached! 0.34/0.66 % (3325034)------------------------------ 0.34/0.66 % (3325034)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.66 % (3325034)Termination reason: Unknown 0.34/0.66 % (3325034)Termination phase: shuffling 0.34/0.66 0.34/0.66 % (3325034)Memory used [KB]: 1535 0.34/0.66 % (3325034)Time elapsed: 0.007 s 0.34/0.66 % (3325034)Instructions burned: 5 (million) 0.34/0.66 % (3325034)------------------------------ 0.34/0.66 % (3325034)------------------------------ 0.34/0.68 % (3325040)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_3324989 for (1799ds/3Mi) 0.34/0.68 % (3325040)Instruction limit reached! 0.34/0.68 % (3325040)------------------------------ 0.34/0.68 % (3325040)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.68 % (3325040)Termination reason: Unknown 0.34/0.68 % (3325040)Termination phase: shuffling 0.34/0.68 0.34/0.68 % (3325040)Memory used [KB]: 1535 0.34/0.68 % (3325040)Time elapsed: 0.004 s 0.34/0.68 % (3325040)Instructions burned: 4 (million) 0.34/0.68 % (3325040)------------------------------ 0.34/0.68 % (3325040)------------------------------ 0.34/0.68 % (3325039)Instruction limit reached! 0.34/0.68 % (3325039)------------------------------ 0.34/0.68 % (3325039)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.68 % (3325039)Termination reason: Unknown 0.34/0.68 % (3325039)Termination phase: shuffling 0.34/0.68 0.34/0.68 % (3325039)Memory used [KB]: 1791 0.34/0.68 % (3325039)Time elapsed: 0.021 s 0.34/0.68 % (3325039)Instructions burned: 18 (million) 0.34/0.68 % (3325039)------------------------------ 0.34/0.68 % (3325039)------------------------------ 0.34/0.69 % (3325042)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_3324989 for (1799ds/15Mi) 0.34/0.69 % (3325041)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_3324989 for (1799ds/37Mi) 0.34/0.69 % (3325044)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_3324989 for (1799ds/1041Mi) 0.34/0.69 % (3325043)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_3324989 for (1799ds/3Mi) 0.34/0.70 % (3325043)Instruction limit reached! 0.34/0.70 % (3325043)------------------------------ 0.34/0.70 % (3325043)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.70 % (3325043)Termination reason: Unknown 0.34/0.70 % (3325043)Termination phase: shuffling 0.34/0.70 0.34/0.70 % (3325043)Memory used [KB]: 1535 0.34/0.70 % (3325043)Time elapsed: 0.006 s 0.34/0.70 % (3325043)Instructions burned: 3 (million) 0.34/0.70 % (3325043)------------------------------ 0.34/0.70 % (3325043)------------------------------ 0.34/0.71 % (3325042)Instruction limit reached! 0.34/0.71 % (3325042)------------------------------ 0.34/0.71 % (3325042)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.71 % (3325042)Termination reason: Unknown 0.34/0.71 % (3325042)Termination phase: shuffling 0.34/0.71 0.34/0.71 % (3325042)Memory used [KB]: 1791 0.34/0.71 % (3325042)Time elapsed: 0.018 s 0.34/0.71 % (3325042)Instructions burned: 15 (million) 0.34/0.71 % (3325042)------------------------------ 0.34/0.71 % (3325042)------------------------------ 0.34/0.71 % (3325045)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_3324989 for (1799ds/7Mi) 0.34/0.72 % (3325045)Instruction limit reached! 0.34/0.72 % (3325045)------------------------------ 0.34/0.72 % (3325045)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.72 % (3325045)Termination reason: Unknown 0.34/0.72 % (3325045)Termination phase: shuffling 0.34/0.72 0.34/0.72 % (3325045)Memory used [KB]: 1535 0.34/0.72 % (3325045)Time elapsed: 0.009 s 0.34/0.72 % (3325045)Instructions burned: 7 (million) 0.34/0.72 % (3325045)------------------------------ 0.34/0.72 % (3325045)------------------------------ 0.34/0.72 % (3325041)Instruction limit reached! 0.34/0.72 % (3325041)------------------------------ 0.34/0.72 % (3325041)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.72 % (3325041)Termination reason: Unknown 0.34/0.72 % (3325041)Termination phase: shuffling 0.34/0.72 0.34/0.72 % (3325041)Memory used [KB]: 2302 0.34/0.72 % (3325041)Time elapsed: 0.036 s 0.34/0.72 % (3325041)Instructions burned: 38 (million) 0.34/0.72 % (3325041)------------------------------ 0.34/0.72 % (3325041)------------------------------ 0.34/0.73 % (3325046)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_3324989 for (1798ds/16Mi) 0.34/0.74 % (3325047)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_3324989 for (1798ds/3Mi) 0.34/0.74 % (3325047)Instruction limit reached! 0.34/0.74 % (3325047)------------------------------ 0.34/0.74 % (3325047)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.74 % (3325047)Termination reason: Unknown 0.34/0.74 % (3325047)Termination phase: shuffling 0.34/0.74 0.34/0.74 % (3325047)Memory used [KB]: 1535 0.34/0.74 % (3325047)Time elapsed: 0.005 s 0.34/0.74 % (3325047)Instructions burned: 3 (million) 0.34/0.74 % (3325047)------------------------------ 0.34/0.74 % (3325047)------------------------------ 0.34/0.74 % (3325046)Instruction limit reached! 0.34/0.74 % (3325046)------------------------------ 0.34/0.74 % (3325046)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.74 % (3325046)Termination reason: Unknown 0.34/0.74 % (3325046)Termination phase: shuffling 0.34/0.74 0.34/0.74 % (3325046)Memory used [KB]: 1918 0.34/0.74 % (3325046)Time elapsed: 0.018 s 0.34/0.74 % (3325046)Instructions burned: 17 (million) 0.34/0.74 % (3325046)------------------------------ 0.34/0.74 % (3325046)------------------------------ 0.34/0.75 % (3325048)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_3324989 for (1798ds/3Mi) 0.34/0.75 % (3325048)Instruction limit reached! 0.34/0.75 % (3325048)------------------------------ 0.34/0.75 % (3325048)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.75 % (3325048)Termination reason: Unknown 0.34/0.75 % (3325048)Termination phase: shuffling 0.34/0.75 0.34/0.75 % (3325048)Memory used [KB]: 1535 0.34/0.75 % (3325048)Time elapsed: 0.005 s 0.34/0.75 % (3325048)Instructions burned: 3 (million) 0.34/0.75 % (3325048)------------------------------ 0.34/0.75 % (3325048)------------------------------ 0.34/0.76 % (3325049)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_3324989 for (1798ds/7Mi) 0.34/0.76 % (3325049)Instruction limit reached! 0.34/0.76 % (3325049)------------------------------ 0.34/0.76 % (3325049)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.76 % (3325049)Termination reason: Unknown 0.34/0.76 % (3325049)Termination phase: shuffling 0.34/0.76 0.34/0.76 % (3325049)Memory used [KB]: 1535 0.34/0.76 % (3325049)Time elapsed: 0.009 s 0.34/0.76 % (3325049)Instructions burned: 7 (million) 0.34/0.76 % (3325049)------------------------------ 0.34/0.76 % (3325049)------------------------------ 0.34/0.77 % (3325050)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_3324989 for (1798ds/3Mi) 0.34/0.77 % (3325050)Instruction limit reached! 0.34/0.77 % (3325050)------------------------------ 0.34/0.77 % (3325050)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.77 % (3325050)Termination reason: Unknown 0.34/0.77 % (3325050)Termination phase: shuffling 0.34/0.77 0.34/0.77 % (3325050)Memory used [KB]: 1535 0.34/0.77 % (3325050)Time elapsed: 0.005 s 0.34/0.77 % (3325050)Instructions burned: 3 (million) 0.34/0.77 % (3325050)------------------------------ 0.34/0.77 % (3325050)------------------------------ 0.34/0.77 % (3325051)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_3324989 for (1798ds/4Mi) 0.34/0.78 % (3325051)Instruction limit reached! 0.34/0.78 % (3325051)------------------------------ 0.34/0.78 % (3325051)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.78 % (3325051)Termination reason: Unknown 0.34/0.78 % (3325051)Termination phase: shuffling 0.34/0.78 0.34/0.78 % (3325051)Memory used [KB]: 1535 0.34/0.78 % (3325051)Time elapsed: 0.007 s 0.34/0.78 % (3325051)Instructions burned: 4 (million) 0.34/0.78 % (3325051)------------------------------ 0.34/0.78 % (3325051)------------------------------ 0.34/0.78 % (3325052)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_3324989 for (1798ds/18Mi) 0.34/0.79 % (3325053)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_3324989 for (1798ds/710Mi) 0.34/0.80 % (3325052)Instruction limit reached! 0.34/0.80 % (3325052)------------------------------ 0.34/0.80 % (3325052)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.80 % (3325052)Termination reason: Unknown 0.34/0.80 % (3325052)Termination phase: shuffling 0.34/0.80 0.34/0.80 % (3325052)Memory used [KB]: 1918 0.34/0.80 % (3325052)Time elapsed: 0.020 s 0.34/0.80 % (3325052)Instructions burned: 18 (million) 0.34/0.80 % (3325052)------------------------------ 0.34/0.80 % (3325052)------------------------------ 0.34/0.80 % (3325054)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_3324989 for (1798ds/6Mi) 0.34/0.81 % (3325055)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_3324989 for (1797ds/902Mi) 0.34/0.81 % (3325054)Instruction limit reached! 0.34/0.81 % (3325054)------------------------------ 0.34/0.81 % (3325054)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.81 % (3325054)Termination reason: Unknown 0.34/0.81 % (3325054)Termination phase: shuffling 0.34/0.81 0.34/0.81 % (3325054)Memory used [KB]: 1535 0.34/0.81 % (3325054)Time elapsed: 0.008 s 0.34/0.81 % (3325054)Instructions burned: 6 (million) 0.34/0.81 % (3325054)------------------------------ 0.34/0.81 % (3325054)------------------------------ 0.34/0.81 % (3325033)Instruction limit reached! 0.34/0.81 % (3325033)------------------------------ 0.34/0.81 % (3325033)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.81 % (3325033)Termination reason: Unknown 0.34/0.81 % (3325033)Termination phase: Saturation 0.34/0.81 0.34/0.81 % (3325033)Memory used [KB]: 7419 0.34/0.81 % (3325033)Time elapsed: 0.159 s 0.34/0.81 % (3325033)Instructions burned: 183 (million) 0.34/0.81 % (3325033)------------------------------ 0.34/0.81 % (3325033)------------------------------ 0.34/0.83 % (3325056)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_3324989 for (1797ds/21Mi) 0.34/0.84 % (3325057)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_3324989 for (1797ds/5Mi) 0.34/0.84 % (3325057)Instruction limit reached! 0.34/0.84 % (3325057)------------------------------ 0.34/0.84 % (3325057)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.84 % (3325057)Termination reason: Unknown 0.34/0.84 % (3325057)Termination phase: shuffling 0.34/0.84 0.34/0.84 % (3325057)Memory used [KB]: 1535 0.34/0.84 % (3325057)Time elapsed: 0.007 s 0.34/0.84 % (3325057)Instructions burned: 5 (million) 0.34/0.84 % (3325057)------------------------------ 0.34/0.84 % (3325057)------------------------------ 0.34/0.85 % (3325058)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_3324989 for (1797ds/6Mi) 0.34/0.85 % (3325056)Instruction limit reached! 0.34/0.85 % (3325056)------------------------------ 0.34/0.85 % (3325056)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.85 % (3325056)Termination reason: Unknown 0.34/0.85 % (3325056)Termination phase: shuffling 0.34/0.85 0.34/0.85 % (3325056)Memory used [KB]: 1918 0.34/0.85 % (3325056)Time elapsed: 0.022 s 0.34/0.85 % (3325056)Instructions burned: 21 (million) 0.34/0.85 % (3325056)------------------------------ 0.34/0.85 % (3325056)------------------------------ 0.34/0.85 % (3325058)Instruction limit reached! 0.34/0.85 % (3325058)------------------------------ 0.34/0.85 % (3325058)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.85 % (3325058)Termination reason: Unknown 0.34/0.85 % (3325058)Termination phase: shuffling 0.34/0.85 0.34/0.85 % (3325058)Memory used [KB]: 1535 0.34/0.85 % (3325058)Time elapsed: 0.009 s 0.34/0.85 % (3325058)Instructions burned: 6 (million) 0.34/0.85 % (3325058)------------------------------ 0.34/0.85 % (3325058)------------------------------ 0.34/0.87 % (3325059)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_3324989 for (1797ds/377Mi) 0.34/0.88 % (3325060)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_3324989 for (1797ds/779Mi) 0.34/0.88 % (3325061)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_3324989 for (1797ds/19Mi) 0.34/0.90 % (3325061)Instruction limit reached! 0.34/0.90 % (3325061)------------------------------ 0.34/0.90 % (3325061)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.90 % (3325061)Termination reason: Unknown 0.34/0.90 % (3325061)Termination phase: shuffling 0.34/0.90 0.34/0.90 % (3325061)Memory used [KB]: 1918 0.34/0.90 % (3325061)Time elapsed: 0.020 s 0.34/0.90 % (3325061)Instructions burned: 20 (million) 0.34/0.90 % (3325061)------------------------------ 0.34/0.90 % (3325061)------------------------------ 0.34/0.91 % (3325038)Instruction limit reached! 0.34/0.91 % (3325038)------------------------------ 0.34/0.91 % (3325038)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.91 % (3325038)Termination reason: Unknown 0.34/0.91 % (3325038)Termination phase: Saturation 0.34/0.91 0.34/0.91 % (3325038)Memory used [KB]: 10234 0.34/0.91 % (3325038)Time elapsed: 0.253 s 0.34/0.91 % (3325038)Instructions burned: 275 (million) 0.34/0.91 % (3325038)------------------------------ 0.34/0.91 % (3325038)------------------------------ 0.34/0.93 % (3325062)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_3324989 for (1796ds/879Mi) 0.34/0.94 % (3325063)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_3324989 for (1796ds/17Mi) 0.34/0.96 % (3325063)Instruction limit reached! 0.34/0.96 % (3325063)------------------------------ 0.34/0.96 % (3325063)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.96 % (3325063)Termination reason: Unknown 0.34/0.96 % (3325063)Termination phase: shuffling 0.34/0.96 0.34/0.96 % (3325063)Memory used [KB]: 1918 0.34/0.96 % (3325063)Time elapsed: 0.018 s 0.34/0.96 % (3325063)Instructions burned: 17 (million) 0.34/0.96 % (3325063)------------------------------ 0.34/0.96 % (3325063)------------------------------ 0.34/0.99 % (3325064)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_3324989 for (1796ds/3Mi) 0.34/0.99 % (3325064)Instruction limit reached! 0.34/0.99 % (3325064)------------------------------ 0.34/0.99 % (3325064)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/0.99 % (3325064)Termination reason: Unknown 0.34/0.99 % (3325064)Termination phase: shuffling 0.34/0.99 0.34/0.99 % (3325064)Memory used [KB]: 1535 0.34/0.99 % (3325064)Time elapsed: 0.005 s 0.34/0.99 % (3325064)Instructions burned: 3 (million) 0.34/0.99 % (3325064)------------------------------ 0.34/0.99 % (3325064)------------------------------ 0.34/1.05 % (3325065)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_3324989 for (1795ds/30Mi) 0.34/1.10 % (3325044)Instruction limit reached! 0.34/1.10 % (3325044)------------------------------ 0.34/1.10 % (3325044)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.34/1.10 % (3325044)Termination reason: Unknown 0.34/1.10 % (3325044)Termination phase: Saturation 0.34/1.10 0.34/1.10 % (3325044)Memory used [KB]: 16502 0.34/1.10 % (3325044)Time elapsed: 0.408 s 0.34/1.10 % (3325044)Instructions burned: 1041 (million) 0.34/1.10 % (3325044)------------------------------ 0.34/1.10 % (3325044)------------------------------ 3.56/1.10 % (3325065)Instruction limit reached! 3.56/1.10 % (3325065)------------------------------ 3.56/1.10 % (3325065)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.56/1.10 % (3325065)Termination reason: Unknown 3.56/1.10 % (3325065)Termination phase: shuffling 3.56/1.10 3.56/1.10 % (3325065)Memory used [KB]: 2046 3.56/1.10 % (3325065)Time elapsed: 0.038 s 3.56/1.10 % (3325065)Instructions burned: 30 (million) 3.56/1.10 % (3325065)------------------------------ 3.56/1.10 % (3325065)------------------------------ 3.56/1.13 % (3325066)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on E---3.1_3324989 for (1794ds/127Mi) 3.56/1.13 % (3325067)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on E---3.1_3324989 for (1794ds/100Mi) 3.56/1.20 % (3325059)Instruction limit reached! 3.56/1.20 % (3325059)------------------------------ 3.56/1.20 % (3325059)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.56/1.20 % (3325059)Termination reason: Unknown 3.56/1.20 % (3325059)Termination phase: Saturation 3.56/1.20 3.56/1.20 % (3325059)Memory used [KB]: 9466 3.56/1.20 % (3325059)Time elapsed: 0.331 s 3.56/1.20 % (3325059)Instructions burned: 377 (million) 3.56/1.20 % (3325059)------------------------------ 3.56/1.20 % (3325059)------------------------------ 4.09/1.22 % (3325068)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on E---3.1_3324989 for (1793ds/3Mi) 4.09/1.22 % (3325068)Instruction limit reached! 4.09/1.22 % (3325068)------------------------------ 4.09/1.22 % (3325068)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.09/1.22 % (3325068)Termination reason: Unknown 4.09/1.22 % (3325068)Termination phase: shuffling 4.09/1.22 4.09/1.22 % (3325068)Memory used [KB]: 1535 4.09/1.22 % (3325068)Time elapsed: 0.004 s 4.09/1.22 % (3325068)Instructions burned: 5 (million) 4.09/1.22 % (3325068)------------------------------ 4.09/1.22 % (3325068)------------------------------ 4.09/1.22 % (3325067)Instruction limit reached! 4.09/1.22 % (3325067)------------------------------ 4.09/1.22 % (3325067)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.09/1.22 % (3325067)Termination reason: Unknown 4.09/1.22 % (3325067)Termination phase: Property scanning 4.09/1.22 4.09/1.22 % (3325067)Memory used [KB]: 2686 4.09/1.22 % (3325067)Time elapsed: 0.091 s 4.09/1.22 % (3325067)Instructions burned: 100 (million) 4.09/1.22 % (3325067)------------------------------ 4.09/1.22 % (3325067)------------------------------ 4.09/1.24 % (3325070)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on E---3.1_3324989 for (1793ds/86Mi) 4.09/1.24 % (3325066)Instruction limit reached! 4.09/1.24 % (3325066)------------------------------ 4.09/1.24 % (3325066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.09/1.24 % (3325066)Termination reason: Unknown 4.09/1.24 % (3325066)Termination phase: Property scanning 4.09/1.24 4.09/1.24 % (3325066)Memory used [KB]: 2814 4.09/1.24 % (3325066)Time elapsed: 0.111 s 4.09/1.24 % (3325066)Instructions burned: 127 (million) 4.09/1.24 % (3325066)------------------------------ 4.09/1.24 % (3325066)------------------------------ 4.09/1.25 % (3325069)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on E---3.1_3324989 for (1793ds/20Mi) 4.09/1.27 % (3325069)Instruction limit reached! 4.09/1.27 % (3325069)------------------------------ 4.09/1.27 % (3325069)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.09/1.27 % (3325069)Termination reason: Unknown 4.09/1.27 % (3325069)Termination phase: shuffling 4.09/1.27 4.09/1.27 % (3325069)Memory used [KB]: 1918 4.09/1.27 % (3325069)Time elapsed: 0.023 s 4.09/1.27 % (3325069)Instructions burned: 20 (million) 4.09/1.27 % (3325069)------------------------------ 4.09/1.27 % (3325069)------------------------------ 4.09/1.27 % (3325071)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on E---3.1_3324989 for (1793ds/107Mi) 4.09/1.28 % (3325070)Instruction limit reached! 4.09/1.28 % (3325070)------------------------------ 4.09/1.28 % (3325070)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.09/1.28 % (3325070)Termination reason: Unknown 4.09/1.28 % (3325070)Termination phase: Property scanning 4.09/1.28 4.09/1.28 % (3325070)Memory used [KB]: 2558 4.09/1.28 % (3325070)Time elapsed: 0.042 s 4.09/1.28 % (3325070)Instructions burned: 87 (million) 4.09/1.28 % (3325070)------------------------------ 4.09/1.28 % (3325070)------------------------------ 4.09/1.29 % (3325073)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on E---3.1_3324989 for (1792ds/448Mi) 4.84/1.30 % (3325072)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on E---3.1_3324989 for (1793ds/39Mi) 4.84/1.33 % (3325072)Instruction limit reached! 4.84/1.33 % (3325072)------------------------------ 4.84/1.33 % (3325072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.84/1.33 % (3325072)Termination reason: Unknown 4.84/1.33 % (3325072)Termination phase: shuffling 4.84/1.33 4.84/1.33 % (3325072)Memory used [KB]: 2302 4.84/1.33 % (3325072)Time elapsed: 0.037 s 4.84/1.33 % (3325072)Instructions burned: 40 (million) 4.84/1.33 % (3325072)------------------------------ 4.84/1.33 % (3325072)------------------------------ 4.84/1.36 % (3325071)Instruction limit reached! 4.84/1.36 % (3325071)------------------------------ 4.84/1.36 % (3325071)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.84/1.37 % (3325071)Termination reason: Unknown 4.84/1.37 % (3325071)Termination phase: SInE selection 4.84/1.37 4.84/1.37 % (3325071)Memory used [KB]: 2558 4.84/1.37 % (3325071)Time elapsed: 0.097 s 4.84/1.37 % (3325071)Instructions burned: 108 (million) 4.84/1.37 % (3325071)------------------------------ 4.84/1.37 % (3325071)------------------------------ 4.84/1.37 % (3325074)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on E---3.1_3324989 for (1792ds/46Mi) 5.44/1.40 % (3325075)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on E---3.1_3324989 for (1792ds/98Mi) 5.44/1.41 % (3325074)Instruction limit reached! 5.44/1.41 % (3325074)------------------------------ 5.44/1.41 % (3325074)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.44/1.41 % (3325074)Termination reason: Unknown 5.44/1.41 % (3325074)Termination phase: shuffling 5.44/1.41 5.44/1.41 % (3325074)Memory used [KB]: 2302 5.44/1.41 % (3325074)Time elapsed: 0.044 s 5.44/1.41 % (3325074)Instructions burned: 46 (million) 5.44/1.41 % (3325074)------------------------------ 5.44/1.41 % (3325074)------------------------------ 5.44/1.44 % (3325076)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on E---3.1_3324989 for (1791ds/507Mi) 5.44/1.48 % (3325060)Instruction limit reached! 5.44/1.48 % (3325060)------------------------------ 5.44/1.48 % (3325060)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.44/1.48 % (3325060)Termination reason: Unknown 5.44/1.48 % (3325073)Instruction limit reached! 5.44/1.48 % (3325073)------------------------------ 5.44/1.48 % (3325073)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.44/1.48 % (3325060)Termination phase: Saturation 5.44/1.48 5.44/1.48 % (3325060)Memory used [KB]: 7675 5.44/1.48 % (3325060)Time elapsed: 0.603 s 5.44/1.48 % (3325060)Instructions burned: 779 (million) 5.44/1.48 % (3325060)------------------------------ 5.44/1.48 % (3325060)------------------------------ 5.44/1.48 % (3325073)Termination reason: Unknown 5.44/1.48 % (3325073)Termination phase: Saturation 5.44/1.48 5.44/1.48 % (3325073)Memory used [KB]: 7675 5.44/1.48 % (3325073)Time elapsed: 0.188 s 5.44/1.48 % (3325073)Instructions burned: 450 (million) 5.44/1.48 % (3325073)------------------------------ 5.44/1.48 % (3325073)------------------------------ 5.44/1.48 % (3325075)Instruction limit reached! 5.44/1.48 % (3325075)------------------------------ 5.44/1.48 % (3325075)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.44/1.48 % (3325075)Termination reason: Unknown 5.44/1.48 % (3325075)Termination phase: Property scanning 5.44/1.48 5.44/1.48 % (3325075)Memory used [KB]: 2686 5.44/1.48 % (3325075)Time elapsed: 0.088 s 5.44/1.48 % (3325075)Instructions burned: 98 (million) 5.44/1.48 % (3325075)------------------------------ 5.44/1.48 % (3325075)------------------------------ 5.44/1.49 % (3325053)Instruction limit reached! 5.44/1.49 % (3325053)------------------------------ 5.44/1.49 % (3325053)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.44/1.49 % (3325053)Termination reason: Unknown 5.44/1.49 % (3325053)Termination phase: Saturation 5.44/1.49 5.44/1.49 % (3325053)Memory used [KB]: 11513 5.44/1.49 % (3325053)Time elapsed: 0.699 s 5.44/1.49 % (3325053)Instructions burned: 710 (million) 5.44/1.49 % (3325053)------------------------------ 5.44/1.49 % (3325053)------------------------------ 5.44/1.50 % (3325077)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on E---3.1_3324989 for (1790ds/149Mi) 6.23/1.51 % (3325078)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on E---3.1_3324989 for (1790ds/39Mi) 6.23/1.51 % (3325079)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on E---3.1_3324989 for (1790ds/6Mi) 6.23/1.52 % (3325079)Instruction limit reached! 6.23/1.52 % (3325079)------------------------------ 6.23/1.52 % (3325079)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.23/1.52 % (3325079)Termination reason: Unknown 6.23/1.52 % (3325079)Termination phase: shuffling 6.23/1.52 6.23/1.52 % (3325079)Memory used [KB]: 1535 6.23/1.52 % (3325079)Time elapsed: 0.008 s 6.23/1.52 % (3325079)Instructions burned: 6 (million) 6.23/1.52 % (3325079)------------------------------ 6.23/1.52 % (3325079)------------------------------ 6.23/1.52 % (3325080)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on E---3.1_3324989 for (1790ds/1087Mi) 6.23/1.54 % (3325078)Instruction limit reached! 6.23/1.54 % (3325078)------------------------------ 6.23/1.54 % (3325078)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.23/1.54 % (3325078)Termination reason: Unknown 6.23/1.54 % (3325078)Termination phase: shuffling 6.23/1.54 6.23/1.54 % (3325078)Memory used [KB]: 2302 6.23/1.54 % (3325078)Time elapsed: 0.038 s 6.23/1.54 % (3325078)Instructions burned: 39 (million) 6.23/1.54 % (3325078)------------------------------ 6.23/1.54 % (3325078)------------------------------ 6.23/1.55 % (3325081)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on E---3.1_3324989 for (1790ds/47Mi) 6.23/1.56 % (3325077)Instruction limit reached! 6.23/1.56 % (3325077)------------------------------ 6.23/1.56 % (3325077)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.23/1.56 % (3325077)Termination reason: Unknown 6.23/1.56 % (3325077)Termination phase: Twee Goal Transformation 6.23/1.56 6.23/1.56 % (3325077)Memory used [KB]: 3070 6.23/1.56 % (3325077)Time elapsed: 0.069 s 6.23/1.56 % (3325077)Instructions burned: 150 (million) 6.23/1.56 % (3325077)------------------------------ 6.23/1.56 % (3325077)------------------------------ 6.23/1.58 % (3325082)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on E---3.1_3324989 for (1790ds/44Mi) 6.23/1.58 % (3325083)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on E---3.1_3324989 for (1790ds/432Mi) 6.23/1.59 % (3325081)Instruction limit reached! 6.23/1.59 % (3325081)------------------------------ 6.23/1.59 % (3325081)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.23/1.59 % (3325081)Termination reason: Unknown 6.23/1.59 % (3325081)Termination phase: shuffling 6.23/1.59 6.23/1.59 % (3325081)Memory used [KB]: 2430 6.23/1.59 % (3325081)Time elapsed: 0.045 s 6.23/1.59 % (3325081)Instructions burned: 47 (million) 6.23/1.59 % (3325081)------------------------------ 6.23/1.59 % (3325081)------------------------------ 6.70/1.62 % (3325082)Instruction limit reached! 6.70/1.62 % (3325082)------------------------------ 6.70/1.62 % (3325082)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.70/1.62 % (3325082)Termination reason: Unknown 6.70/1.62 % (3325082)Termination phase: shuffling 6.70/1.62 6.70/1.62 % (3325082)Memory used [KB]: 2302 6.70/1.62 % (3325082)Time elapsed: 0.043 s 6.70/1.62 % (3325082)Instructions burned: 44 (million) 6.70/1.62 % (3325082)------------------------------ 6.70/1.62 % (3325082)------------------------------ 6.70/1.62 % (3325084)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on E---3.1_3324989 for (1789ds/62Mi) 6.70/1.65 % (3325085)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on E---3.1_3324989 for (1789ds/31Mi) 6.70/1.67 % (3325085)Instruction limit reached! 6.70/1.67 % (3325085)------------------------------ 6.70/1.67 % (3325085)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.70/1.67 % (3325085)Termination reason: Unknown 6.70/1.67 % (3325085)Termination phase: shuffling 6.70/1.67 6.70/1.67 % (3325085)Memory used [KB]: 2046 6.70/1.67 % (3325085)Time elapsed: 0.031 s 6.70/1.67 % (3325085)Instructions burned: 31 (million) 6.70/1.67 % (3325085)------------------------------ 6.70/1.67 % (3325085)------------------------------ 6.70/1.68 % (3325084)Instruction limit reached! 6.70/1.68 % (3325084)------------------------------ 6.70/1.68 % (3325084)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.70/1.68 % (3325084)Termination reason: Unknown 6.70/1.68 % (3325084)Termination phase: Property scanning 6.70/1.68 6.70/1.68 % (3325084)Memory used [KB]: 2558 6.70/1.68 % (3325084)Time elapsed: 0.058 s 6.70/1.68 % (3325084)Instructions burned: 63 (million) 6.70/1.68 % (3325084)------------------------------ 6.70/1.68 % (3325084)------------------------------ 6.70/1.68 % (3325055)Instruction limit reached! 6.70/1.68 % (3325055)------------------------------ 6.70/1.68 % (3325055)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.70/1.68 % (3325055)Termination reason: Unknown 6.70/1.68 % (3325055)Termination phase: Saturation 6.70/1.68 6.70/1.68 % (3325055)Memory used [KB]: 12792 6.70/1.68 % (3325055)Time elapsed: 0.874 s 6.70/1.68 % (3325055)Instructions burned: 902 (million) 6.70/1.68 % (3325055)------------------------------ 6.70/1.68 % (3325055)------------------------------ 7.09/1.70 % (3325086)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on E---3.1_3324989 for (1789ds/96Mi) 7.09/1.71 % (3325087)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on E---3.1_3324989 for (1789ds/453Mi) 7.09/1.71 % (3325088)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on E---3.1_3324989 for (1789ds/71Mi) 7.09/1.76 % (3325062)Instruction limit reached! 7.09/1.76 % (3325062)------------------------------ 7.09/1.76 % (3325062)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.09/1.76 % (3325062)Termination reason: Unknown 7.09/1.76 % (3325062)Termination phase: Saturation 7.09/1.76 7.09/1.76 % (3325062)Memory used [KB]: 10234 7.09/1.76 % (3325062)Time elapsed: 0.829 s 7.09/1.76 % (3325062)Instructions burned: 879 (million) 7.09/1.76 % (3325062)------------------------------ 7.09/1.76 % (3325062)------------------------------ 7.09/1.76 % (3325083)Instruction limit reached! 7.09/1.76 % (3325083)------------------------------ 7.09/1.76 % (3325083)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.09/1.76 % (3325083)Termination reason: Unknown 7.09/1.76 % (3325083)Termination phase: Saturation 7.09/1.76 7.09/1.76 % (3325083)Memory used [KB]: 3070 7.09/1.76 % (3325083)Time elapsed: 0.184 s 7.09/1.76 % (3325083)Instructions burned: 434 (million) 7.09/1.76 % (3325083)------------------------------ 7.09/1.76 % (3325083)------------------------------ 7.09/1.77 % (3325088)Instruction limit reached! 7.09/1.77 % (3325088)------------------------------ 7.09/1.77 % (3325088)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.09/1.77 % (3325088)Termination reason: Unknown 7.09/1.77 % (3325088)Termination phase: Property scanning 7.09/1.77 7.09/1.77 % (3325088)Memory used [KB]: 2558 7.09/1.77 % (3325088)Time elapsed: 0.065 s 7.09/1.77 % (3325088)Instructions burned: 71 (million) 7.09/1.77 % (3325088)------------------------------ 7.09/1.77 % (3325088)------------------------------ 7.09/1.78 % (3325089)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on E---3.1_3324989 for (1788ds/83Mi) 7.09/1.79 % (3325086)Instruction limit reached! 7.09/1.79 % (3325086)------------------------------ 7.09/1.79 % (3325086)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.09/1.79 % (3325086)Termination reason: Unknown 7.09/1.79 % (3325086)Termination phase: Property scanning 7.09/1.79 7.09/1.79 % (3325086)Memory used [KB]: 2814 7.09/1.79 % (3325086)Time elapsed: 0.087 s 7.09/1.79 % (3325086)Instructions burned: 96 (million) 7.09/1.79 % (3325086)------------------------------ 7.09/1.79 % (3325086)------------------------------ 7.09/1.79 % (3325090)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on E---3.1_3324989 for (1788ds/11Mi) 7.57/1.80 % (3325090)Instruction limit reached! 7.57/1.80 % (3325090)------------------------------ 7.57/1.80 % (3325090)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.57/1.80 % (3325090)Termination reason: Unknown 7.57/1.80 % (3325090)Termination phase: shuffling 7.57/1.80 7.57/1.80 % (3325090)Memory used [KB]: 1663 7.57/1.80 % (3325090)Time elapsed: 0.013 s 7.57/1.80 % (3325090)Instructions burned: 11 (million) 7.57/1.80 % (3325090)------------------------------ 7.57/1.80 % (3325090)------------------------------ 7.57/1.80 % (3325091)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on E---3.1_3324989 for (1788ds/41Mi) 7.57/1.82 % (3325089)Instruction limit reached! 7.57/1.82 % (3325089)------------------------------ 7.57/1.82 % (3325089)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.57/1.82 % (3325089)Termination reason: Unknown 7.57/1.82 % (3325089)Termination phase: Property scanning 7.57/1.82 7.57/1.82 % (3325089)Memory used [KB]: 2558 7.57/1.82 % (3325089)Time elapsed: 0.040 s 7.57/1.82 % (3325089)Instructions burned: 84 (million) 7.57/1.82 % (3325089)------------------------------ 7.57/1.82 % (3325089)------------------------------ 7.57/1.82 % (3325092)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_3324989 for (1788ds/6Mi) 7.57/1.82 % (3325092)Instruction limit reached! 7.57/1.82 % (3325092)------------------------------ 7.57/1.82 % (3325092)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.57/1.82 % (3325092)Termination reason: Unknown 7.57/1.82 % (3325092)Termination phase: shuffling 7.57/1.82 7.57/1.82 % (3325092)Memory used [KB]: 1535 7.57/1.82 % (3325092)Time elapsed: 0.008 s 7.57/1.82 % (3325092)Instructions burned: 6 (million) 7.57/1.82 % (3325092)------------------------------ 7.57/1.82 % (3325092)------------------------------ 7.57/1.83 % (3325093)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on E---3.1_3324989 for (1787ds/150Mi) 7.57/1.83 % (3325094)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on E---3.1_3324989 for (1787ds/343Mi) 7.57/1.84 % (3325091)Instruction limit reached! 7.57/1.84 % (3325091)------------------------------ 7.57/1.84 % (3325091)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.57/1.84 % (3325091)Termination reason: Unknown 7.57/1.84 % (3325091)Termination phase: shuffling 7.57/1.84 7.57/1.84 % (3325091)Memory used [KB]: 2302 7.57/1.84 % (3325091)Time elapsed: 0.038 s 7.57/1.84 % (3325091)Instructions burned: 41 (million) 7.57/1.84 % (3325091)------------------------------ 7.57/1.84 % (3325091)------------------------------ 7.57/1.85 % (3325095)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on E---3.1_3324989 for (1787ds/109Mi) 7.57/1.87 % (3325096)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on E---3.1_3324989 for (1787ds/253Mi) 7.78/1.90 % (3325076)Instruction limit reached! 7.78/1.90 % (3325076)------------------------------ 7.78/1.90 % (3325076)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.78/1.90 % (3325076)Termination reason: Unknown 7.78/1.90 % (3325076)Termination phase: Saturation 7.78/1.90 7.78/1.90 % (3325076)Memory used [KB]: 8187 7.78/1.90 % (3325076)Time elapsed: 0.466 s 7.78/1.90 % (3325076)Instructions burned: 507 (million) 7.78/1.90 % (3325076)------------------------------ 7.78/1.90 % (3325076)------------------------------ 7.78/1.93 % (3325097)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on E---3.1_3324989 for (1786ds/140Mi) 7.78/1.95 % (3325095)Instruction limit reached! 7.78/1.95 % (3325095)------------------------------ 7.78/1.95 % (3325095)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.78/1.95 % (3325095)Termination reason: Unknown 7.78/1.95 % (3325095)Termination phase: SInE selection 7.78/1.95 7.78/1.95 % (3325095)Memory used [KB]: 2558 7.78/1.95 % (3325095)Time elapsed: 0.096 s 7.78/1.95 % (3325095)Instructions burned: 109 (million) 7.78/1.95 % (3325095)------------------------------ 7.78/1.95 % (3325095)------------------------------ 7.78/1.97 % (3325093)Instruction limit reached! 7.78/1.97 % (3325093)------------------------------ 7.78/1.97 % (3325093)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.78/1.97 % (3325093)Termination reason: Unknown 7.78/1.97 % (3325093)Termination phase: Property scanning 7.78/1.97 7.78/1.97 % (3325093)Memory used [KB]: 5245 7.78/1.97 % (3325093)Time elapsed: 0.145 s 7.78/1.97 % (3325093)Instructions burned: 151 (million) 7.78/1.97 % (3325093)------------------------------ 7.78/1.97 % (3325093)------------------------------ 7.78/1.98 % (3325098)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on E---3.1_3324989 for (1786ds/614Mi) 7.78/1.99 % (3325094)Instruction limit reached! 7.78/1.99 % (3325094)------------------------------ 7.78/1.99 % (3325094)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.78/1.99 % (3325094)Termination reason: Unknown 7.78/1.99 % (3325094)Termination phase: Saturation 7.78/1.99 7.78/1.99 % (3325094)Memory used [KB]: 8315 7.78/1.99 % (3325094)Time elapsed: 0.155 s 7.78/1.99 % (3325094)Instructions burned: 344 (million) 7.78/1.99 % (3325094)------------------------------ 7.78/1.99 % (3325094)------------------------------ 8.74/2.00 % (3325100)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on E---3.1_3324989 for (1785ds/339Mi) 8.74/2.01 % (3325099)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on E---3.1_3324989 for (1785ds/202Mi) 8.74/2.05 % (3325097)Instruction limit reached! 8.74/2.05 % (3325097)------------------------------ 8.74/2.05 % (3325097)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 8.74/2.05 % (3325097)Termination reason: Unknown 8.74/2.05 % (3325097)Termination phase: Function definition elimination 8.74/2.05 8.74/2.05 % (3325097)Memory used [KB]: 2814 8.74/2.05 % (3325097)Time elapsed: 0.122 s 8.74/2.05 % (3325097)Instructions burned: 141 (million) 8.74/2.05 % (3325097)------------------------------ 8.74/2.05 % (3325097)------------------------------ 8.74/2.07 % (3325087)Instruction limit reached! 8.74/2.07 % (3325087)------------------------------ 8.74/2.07 % (3325087)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 8.74/2.07 % (3325087)Termination reason: Unknown 8.74/2.07 % (3325087)Termination phase: Saturation 8.74/2.07 8.74/2.07 % (3325087)Memory used [KB]: 7675 8.74/2.07 % (3325087)Time elapsed: 0.363 s 8.74/2.07 % (3325087)Instructions burned: 453 (million) 8.74/2.07 % (3325087)------------------------------ 8.74/2.07 % (3325087)------------------------------ 8.74/2.08 % (3325101)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on E---3.1_3324989 for (1785ds/283Mi) 8.74/2.10 % (3325096)Instruction limit reached! 8.74/2.10 % (3325096)------------------------------ 8.74/2.10 % (3325096)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 8.74/2.10 % (3325096)Termination reason: Unknown 8.74/2.10 % (3325096)Termination phase: Saturation 8.74/2.10 8.74/2.10 % (3325096)Memory used [KB]: 5500 8.74/2.10 % (3325096)Time elapsed: 0.232 s 8.74/2.10 % (3325096)Instructions burned: 253 (million) 8.74/2.10 % (3325096)------------------------------ 8.74/2.10 % (3325096)------------------------------ 8.74/2.10 % (3325102)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on E---3.1_3324989 for (1785ds/134Mi) 8.74/2.13 % (3325103)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on E---3.1_3324989 for (1784ds/298Mi) 10.86/2.16 % (3325100)Instruction limit reached! 10.86/2.16 % (3325100)------------------------------ 10.86/2.16 % (3325100)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.86/2.16 % (3325100)Termination reason: Unknown 10.86/2.16 % (3325100)Termination phase: Saturation 10.86/2.16 10.86/2.16 % (3325100)Memory used [KB]: 8059 10.86/2.16 % (3325100)Time elapsed: 0.161 s 10.86/2.16 % (3325100)Instructions burned: 340 (million) 10.86/2.16 % (3325100)------------------------------ 10.86/2.16 % (3325100)------------------------------ 10.86/2.18 % (3325104)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on E---3.1_3324989 for (1784ds/192Mi) 10.86/2.19 % (3325099)Instruction limit reached! 10.86/2.19 % (3325099)------------------------------ 10.86/2.19 % (3325099)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.86/2.19 % (3325099)Termination reason: Unknown 10.86/2.19 % (3325099)Termination phase: Property scanning 10.86/2.19 10.86/2.19 % (3325099)Memory used [KB]: 5245 10.86/2.19 % (3325099)Time elapsed: 0.187 s 10.86/2.19 % (3325099)Instructions burned: 202 (million) 10.86/2.19 % (3325099)------------------------------ 10.86/2.19 % (3325099)------------------------------ 10.86/2.21 % (3325102)Instruction limit reached! 10.86/2.21 % (3325102)------------------------------ 10.86/2.21 % (3325102)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.86/2.21 % (3325102)Termination reason: Unknown 10.86/2.21 % (3325102)Termination phase: Function definition elimination 10.86/2.21 10.86/2.21 % (3325102)Memory used [KB]: 2814 10.86/2.21 % (3325102)Time elapsed: 0.117 s 10.86/2.21 % (3325102)Instructions burned: 134 (million) 10.86/2.21 % (3325102)------------------------------ 10.86/2.21 % (3325102)------------------------------ 10.86/2.22 % (3325105)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on E---3.1_3324989 for (1783ds/258Mi) 10.86/2.24 % (3325106)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on E---3.1_3324989 for (1783ds/90Mi) 11.31/2.26 % (3325104)Instruction limit reached! 11.31/2.26 % (3325104)------------------------------ 11.31/2.26 % (3325104)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.31/2.26 % (3325104)Termination reason: Unknown 11.31/2.26 % (3325104)Termination phase: Saturation 11.31/2.26 11.31/2.26 % (3325104)Memory used [KB]: 7547 11.31/2.26 % (3325104)Time elapsed: 0.088 s 11.31/2.26 % (3325104)Instructions burned: 193 (million) 11.31/2.26 % (3325104)------------------------------ 11.31/2.26 % (3325104)------------------------------ 11.31/2.28 % (3325107)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on E---3.1_3324989 for (1783ds/231Mi) 11.55/2.31 % (3325101)Instruction limit reached! 11.55/2.31 % (3325101)------------------------------ 11.55/2.31 % (3325101)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.55/2.31 % (3325101)Termination reason: Unknown 11.55/2.31 % (3325101)Termination phase: Saturation 11.55/2.31 11.55/2.31 % (3325101)Memory used [KB]: 7547 11.55/2.31 % (3325101)Time elapsed: 0.232 s 11.55/2.31 % (3325101)Instructions burned: 283 (million) 11.55/2.31 % (3325101)------------------------------ 11.55/2.31 % (3325101)------------------------------ 11.55/2.32 % (3325106)Instruction limit reached! 11.55/2.32 % (3325106)------------------------------ 11.55/2.32 % (3325106)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.55/2.32 % (3325106)Termination reason: Unknown 11.55/2.32 % (3325106)Termination phase: Property scanning 11.55/2.32 11.55/2.32 % (3325106)Memory used [KB]: 2558 11.55/2.32 % (3325106)Time elapsed: 0.082 s 11.55/2.32 % (3325106)Instructions burned: 90 (million) 11.55/2.32 % (3325106)------------------------------ 11.55/2.32 % (3325106)------------------------------ 11.55/2.34 % (3325108)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on E---3.1_3324989 for (1782ds/458Mi) 11.55/2.35 % (3325109)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on E---3.1_3324989 for (1782ds/31Mi) 11.55/2.37 % (3325103)Instruction limit reached! 11.55/2.37 % (3325103)------------------------------ 11.55/2.37 % (3325103)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.55/2.37 % (3325103)Termination reason: Unknown 11.55/2.37 % (3325103)Termination phase: Saturation 11.55/2.37 11.55/2.37 % (3325103)Memory used [KB]: 7547 11.55/2.37 % (3325103)Time elapsed: 0.245 s 11.55/2.37 % (3325103)Instructions burned: 298 (million) 11.55/2.37 % (3325103)------------------------------ 11.55/2.37 % (3325103)------------------------------ 11.55/2.38 % (3325109)Instruction limit reached! 11.55/2.38 % (3325109)------------------------------ 11.55/2.38 % (3325109)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.55/2.38 % (3325109)Termination reason: Unknown 11.55/2.38 % (3325109)Termination phase: shuffling 11.55/2.38 11.55/2.38 % (3325109)Memory used [KB]: 2046 11.55/2.38 % (3325109)Time elapsed: 0.031 s 11.55/2.38 % (3325109)Instructions burned: 31 (million) 11.55/2.38 % (3325109)------------------------------ 11.55/2.38 % (3325109)------------------------------ 11.55/2.39 % (3325107)Instruction limit reached! 11.55/2.39 % (3325107)------------------------------ 11.55/2.39 % (3325107)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.55/2.39 % (3325107)Termination reason: Unknown 11.55/2.39 % (3325107)Termination phase: Saturation 11.55/2.39 11.55/2.39 % (3325107)Memory used [KB]: 8443 11.55/2.39 % (3325107)Time elapsed: 0.106 s 11.55/2.39 % (3325107)Instructions burned: 231 (million) 11.55/2.39 % (3325107)------------------------------ 11.55/2.39 % (3325107)------------------------------ 12.35/2.40 % (3325112)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on E---3.1_3324989 for (1781ds/182Mi) 12.35/2.40 % (3325110)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on E---3.1_3324989 for (1782ds/297Mi) 12.35/2.41 % (3325111)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on E---3.1_3324989 for (1782ds/987Mi) 12.35/2.44 % (3325105)Instruction limit reached! 12.35/2.44 % (3325105)------------------------------ 12.35/2.44 % (3325105)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.35/2.44 % (3325105)Termination reason: Unknown 12.35/2.44 % (3325105)Termination phase: Saturation 12.35/2.44 12.35/2.44 % (3325105)Memory used [KB]: 7931 12.35/2.44 % (3325105)Time elapsed: 0.223 s 12.35/2.44 % (3325105)Instructions burned: 258 (million) 12.35/2.44 % (3325105)------------------------------ 12.35/2.44 % (3325105)------------------------------ 12.35/2.47 % (3325113)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on E---3.1_3324989 for (1781ds/182Mi) 12.35/2.48 % (3325112)Instruction limit reached! 12.35/2.48 % (3325112)------------------------------ 12.35/2.48 % (3325112)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.35/2.48 % (3325112)Termination reason: Unknown 12.35/2.48 % (3325112)Termination phase: Saturation 12.35/2.48 12.35/2.48 % (3325112)Memory used [KB]: 7419 12.35/2.48 % (3325112)Time elapsed: 0.084 s 12.35/2.48 % (3325112)Instructions burned: 184 (million) 12.35/2.48 % (3325112)------------------------------ 12.35/2.48 % (3325112)------------------------------ 12.90/2.50 % (3325114)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on E---3.1_3324989 for (1781ds/154Mi) 12.90/2.55 % (3325098)Instruction limit reached! 12.90/2.55 % (3325098)------------------------------ 12.90/2.55 % (3325098)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.90/2.55 % (3325098)Termination reason: Unknown 12.90/2.55 % (3325098)Termination phase: Saturation 12.90/2.55 12.90/2.55 % (3325098)Memory used [KB]: 10106 12.90/2.55 % (3325098)Time elapsed: 0.572 s 12.90/2.55 % (3325098)Instructions burned: 614 (million) 12.90/2.55 % (3325098)------------------------------ 12.90/2.55 % (3325098)------------------------------ 12.90/2.57 % (3325114)Instruction limit reached! 12.90/2.57 % (3325114)------------------------------ 12.90/2.57 % (3325114)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.90/2.57 % (3325114)Termination reason: Unknown 12.90/2.57 % (3325114)Termination phase: Property scanning 12.90/2.57 12.90/2.57 % (3325114)Memory used [KB]: 2686 12.90/2.57 % (3325114)Time elapsed: 0.070 s 12.90/2.57 % (3325114)Instructions burned: 155 (million) 12.90/2.57 % (3325114)------------------------------ 12.90/2.57 % (3325114)------------------------------ 12.90/2.58 % (3325115)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on E---3.1_3324989 for (1780ds/79Mi) 12.90/2.58 % (3325116)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on E---3.1_3324989 for (1780ds/216Mi) 13.14/2.60 % (3325080)Instruction limit reached! 13.14/2.60 % (3325080)------------------------------ 13.14/2.60 % (3325080)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 13.14/2.60 % (3325080)Termination reason: Unknown 13.14/2.60 % (3325080)Termination phase: Saturation 13.14/2.60 13.14/2.60 % (3325080)Memory used [KB]: 12665 13.14/2.60 % (3325080)Time elapsed: 1.084 s 13.14/2.60 % (3325080)Instructions burned: 1087 (million) 13.14/2.60 % (3325080)------------------------------ 13.14/2.60 % (3325080)------------------------------ 13.14/2.63 % (3325117)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on E---3.1_3324989 for (1779ds/114Mi) 13.14/2.64 % (3325113)Instruction limit reached! 13.14/2.64 % (3325113)------------------------------ 13.14/2.64 % (3325113)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 13.14/2.64 % (3325113)Termination reason: Unknown 13.14/2.64 % (3325113)Termination phase: Property scanning 13.14/2.64 13.14/2.64 % (3325113)Memory used [KB]: 5117 13.14/2.64 % (3325113)Time elapsed: 0.172 s 13.14/2.64 % (3325113)Instructions burned: 182 (million) 13.14/2.64 % (3325113)------------------------------ 13.14/2.64 % (3325113)------------------------------ 13.14/2.65 % (3325110)Instruction limit reached! 13.14/2.65 % (3325110)------------------------------ 13.14/2.65 % (3325110)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 13.14/2.65 % (3325110)Termination reason: Unknown 13.14/2.65 % (3325110)Termination phase: Saturation 13.14/2.65 13.14/2.65 % (3325110)Memory used [KB]: 7547 13.14/2.65 % (3325110)Time elapsed: 0.243 s 13.14/2.65 % (3325110)Instructions burned: 298 (million) 13.14/2.65 % (3325110)------------------------------ 13.14/2.65 % (3325110)------------------------------ 13.14/2.65 % (3325115)Instruction limit reached! 13.14/2.65 % (3325115)------------------------------ 13.14/2.65 % (3325115)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 13.14/2.65 % (3325115)Termination reason: Unknown 13.14/2.65 % (3325115)Termination phase: Property scanning 13.14/2.65 13.14/2.65 % (3325115)Memory used [KB]: 2558 13.14/2.65 % (3325115)Time elapsed: 0.074 s 13.14/2.65 % (3325115)Instructions burned: 79 (million) 13.14/2.65 % (3325115)------------------------------ 13.14/2.65 % (3325115)------------------------------ 13.14/2.68 % (3325116)Instruction limit reached! 13.14/2.68 % (3325116)------------------------------ 13.14/2.68 % (3325116)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 13.14/2.68 % (3325116)Termination reason: Unknown 13.14/2.68 % (3325116)Termination phase: Property scanning 13.14/2.68 13.14/2.68 % (3325116)Memory used [KB]: 2814 13.14/2.68 % (3325116)Time elapsed: 0.093 s 13.14/2.68 % (3325116)Instructions burned: 217 (million) 13.14/2.68 % (3325116)------------------------------ 13.14/2.68 % (3325116)------------------------------ 13.14/2.68 % (3325118)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on E---3.1_3324989 for (1779ds/922Mi) 13.14/2.68 % (3325119)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on E---3.1_3324989 for (1779ds/182Mi) 13.14/2.68 % (3325120)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on E---3.1_3324989 for (1779ds/164Mi) 13.14/2.69 % (3325121)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on E---3.1_3324989 for (1779ds/50Mi) 13.85/2.72 % (3325121)Instruction limit reached! 13.85/2.72 % (3325121)------------------------------ 13.85/2.72 % (3325121)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 13.85/2.72 % (3325121)Termination reason: Unknown 13.85/2.72 % (3325121)Termination phase: shuffling 13.85/2.72 13.85/2.72 % (3325121)Memory used [KB]: 2430 13.85/2.72 % (3325121)Time elapsed: 0.025 s 13.85/2.72 % (3325121)Instructions burned: 50 (million) 13.85/2.72 % (3325121)------------------------------ 13.85/2.72 % (3325121)------------------------------ 13.85/2.73 % (3325122)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on E---3.1_3324989 for (1778ds/368Mi) 13.85/2.73 % (3325117)Instruction limit reached! 13.85/2.73 % (3325117)------------------------------ 13.85/2.73 % (3325117)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 13.85/2.73 % (3325117)Termination reason: Unknown 13.85/2.73 % (3325117)Termination phase: Property scanning 13.85/2.73 13.85/2.73 % (3325117)Memory used [KB]: 2814 13.85/2.73 % (3325117)Time elapsed: 0.102 s 13.85/2.73 % (3325117)Instructions burned: 114 (million) 13.85/2.73 % (3325117)------------------------------ 13.85/2.73 % (3325117)------------------------------ 13.85/2.74 % (3325108)Instruction limit reached! 13.85/2.74 % (3325108)------------------------------ 13.85/2.74 % (3325108)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 13.85/2.74 % (3325108)Termination reason: Unknown 13.85/2.74 % (3325108)Termination phase: Saturation 13.85/2.74 13.85/2.74 % (3325108)Memory used [KB]: 9722 13.85/2.74 % (3325108)Time elapsed: 0.400 s 13.85/2.74 % (3325108)Instructions burned: 458 (million) 13.85/2.74 % (3325108)------------------------------ 13.85/2.74 % (3325108)------------------------------ 13.85/2.76 % (3325123)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on E---3.1_3324989 for (1778ds/1021Mi) 13.85/2.77 % (3325124)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on E---3.1_3324989 for (1778ds/267Mi) 14.44/2.82 % (3325120)Instruction limit reached! 14.44/2.82 % (3325120)------------------------------ 14.44/2.82 % (3325120)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 14.44/2.82 % (3325120)Termination reason: Unknown 14.44/2.82 % (3325120)Termination phase: Function definition elimination 14.44/2.82 14.44/2.82 % (3325120)Memory used [KB]: 2814 14.44/2.82 % (3325120)Time elapsed: 0.139 s 14.44/2.82 % (3325120)Instructions burned: 165 (million) 14.44/2.82 % (3325120)------------------------------ 14.44/2.82 % (3325120)------------------------------ 14.44/2.83 % (3325119)Instruction limit reached! 14.44/2.83 % (3325119)------------------------------ 14.44/2.83 % (3325119)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 14.44/2.83 % (3325119)Termination reason: Unknown 14.44/2.83 % (3325119)Termination phase: Saturation 14.44/2.83 14.44/2.83 % (3325119)Memory used [KB]: 7291 14.44/2.83 % (3325119)Time elapsed: 0.155 s 14.44/2.83 % (3325119)Instructions burned: 182 (million) 14.44/2.83 % (3325119)------------------------------ 14.44/2.83 % (3325119)------------------------------ 14.44/2.85 % (3325125)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on E---3.1_3324989 for (1777ds/204Mi) 14.44/2.86 % (3325126)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on E---3.1_3324989 for (1777ds/26Mi) 14.44/2.88 % (3325126)Instruction limit reached! 14.44/2.88 % (3325126)------------------------------ 14.44/2.88 % (3325126)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 14.44/2.88 % (3325126)Termination reason: Unknown 14.44/2.88 % (3325126)Termination phase: shuffling 14.44/2.88 14.44/2.88 % (3325126)Memory used [KB]: 1918 14.44/2.88 % (3325126)Time elapsed: 0.026 s 14.44/2.88 % (3325126)Instructions burned: 26 (million) 14.44/2.88 % (3325126)------------------------------ 14.44/2.88 % (3325126)------------------------------ 14.85/2.90 % (3325122)Instruction limit reached! 14.85/2.90 % (3325122)------------------------------ 14.85/2.90 % (3325122)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 14.85/2.90 % (3325122)Termination reason: Unknown 14.85/2.90 % (3325122)Termination phase: Saturation 14.85/2.90 14.85/2.90 % (3325122)Memory used [KB]: 9338 14.85/2.90 % (3325122)Time elapsed: 0.172 s 14.85/2.90 % (3325122)Instructions burned: 368 (million) 14.85/2.90 % (3325122)------------------------------ 14.85/2.90 % (3325122)------------------------------ 14.85/2.91 % (3325127)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on E---3.1_3324989 for (1776ds/53Mi) 14.85/2.92 % (3325128)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on E---3.1_3324989 for (1776ds/4436Mi) 14.85/2.96 % (3325127)Instruction limit reached! 14.85/2.96 % (3325127)------------------------------ 14.85/2.96 % (3325127)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 14.85/2.96 % (3325127)Termination reason: Unknown 14.85/2.96 % (3325127)Termination phase: shuffling 14.85/2.96 14.85/2.96 % (3325127)Memory used [KB]: 2558 14.85/2.96 % (3325127)Time elapsed: 0.050 s 14.85/2.96 % (3325127)Instructions burned: 53 (million) 14.85/2.96 % (3325127)------------------------------ 14.85/2.96 % (3325127)------------------------------ 14.85/2.99 % (3325124)Instruction limit reached! 14.85/2.99 % (3325124)------------------------------ 14.85/2.99 % (3325124)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 14.85/2.99 % (3325124)Termination reason: Unknown 14.85/2.99 % (3325124)Termination phase: Saturation 14.85/2.99 14.85/2.99 % (3325124)Memory used [KB]: 7547 14.85/2.99 % (3325124)Time elapsed: 0.218 s 14.85/2.99 % (3325124)Instructions burned: 267 (million) 14.85/2.99 % (3325124)------------------------------ 14.85/2.99 % (3325124)------------------------------ 14.85/2.99 % (3325129)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on E---3.1_3324989 for (1776ds/1539Mi) 15.36/3.02 % (3325125)Instruction limit reached! 15.36/3.02 % (3325125)------------------------------ 15.36/3.02 % (3325125)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 15.36/3.02 % (3325125)Termination reason: Unknown 15.36/3.02 % (3325125)Termination phase: Property scanning 15.36/3.02 15.36/3.02 % (3325125)Memory used [KB]: 2942 15.36/3.02 % (3325125)Time elapsed: 0.170 s 15.36/3.02 % (3325125)Instructions burned: 204 (million) 15.36/3.02 % (3325125)------------------------------ 15.36/3.02 % (3325125)------------------------------ 15.36/3.02 % (3325130)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on E---3.1_3324989 for (1775ds/408Mi) 15.36/3.05 % (3325131)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on E---3.1_3324989 for (1775ds/5205Mi) 15.36/3.14 % (3325111)Instruction limit reached! 15.36/3.14 % (3325111)------------------------------ 15.36/3.14 % (3325111)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 15.36/3.15 % (3325111)Termination reason: Unknown 15.36/3.15 % (3325111)Termination phase: Saturation 15.36/3.15 15.36/3.15 % (3325111)Memory used [KB]: 16758 15.36/3.15 % (3325111)Time elapsed: 0.731 s 15.36/3.15 % (3325111)Instructions burned: 987 (million) 15.36/3.15 % (3325111)------------------------------ 15.36/3.15 % (3325111)------------------------------ 17.93/3.18 % (3325132)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on E---3.1_3324989 for (1774ds/1913Mi) 19.41/3.40 % (3325130)Instruction limit reached! 19.41/3.40 % (3325130)------------------------------ 19.41/3.40 % (3325130)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 19.41/3.40 % (3325130)Termination reason: Unknown 19.41/3.40 % (3325130)Termination phase: Saturation 19.41/3.40 19.41/3.40 % (3325130)Memory used [KB]: 11385 19.41/3.40 % (3325130)Time elapsed: 0.388 s 19.41/3.40 % (3325130)Instructions burned: 408 (million) 19.41/3.40 % (3325130)------------------------------ 19.41/3.40 % (3325130)------------------------------ 19.41/3.44 % (3325133)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on E---3.1_3324989 for (1771ds/4350Mi) 19.93/3.58 % (3325118)Instruction limit reached! 19.93/3.58 % (3325118)------------------------------ 19.93/3.58 % (3325118)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 19.93/3.58 % (3325118)Termination reason: Unknown 19.93/3.58 % (3325118)Termination phase: Saturation 19.93/3.58 19.93/3.58 % (3325118)Memory used [KB]: 11897 19.93/3.58 % (3325118)Time elapsed: 0.930 s 19.93/3.58 % (3325118)Instructions burned: 922 (million) 19.93/3.58 % (3325118)------------------------------ 19.93/3.58 % (3325118)------------------------------ 20.43/3.62 % (3325134)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on E---3.1_3324989 for (1769ds/68Mi) 20.43/3.68 % (3325134)Instruction limit reached! 20.43/3.68 % (3325134)------------------------------ 20.43/3.68 % (3325134)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 20.43/3.68 % (3325134)Termination reason: Unknown 20.43/3.68 % (3325134)Termination phase: Property scanning 20.43/3.68 20.43/3.68 % (3325134)Memory used [KB]: 2558 20.43/3.68 % (3325134)Time elapsed: 0.063 s 20.43/3.68 % (3325134)Instructions burned: 68 (million) 20.43/3.68 % (3325134)------------------------------ 20.43/3.68 % (3325134)------------------------------ 20.92/3.71 % (3325135)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on E---3.1_3324989 for (1769ds/358Mi) 20.92/3.77 % (3325123)Instruction limit reached! 20.92/3.77 % (3325123)------------------------------ 20.92/3.77 % (3325123)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 20.92/3.77 % (3325123)Termination reason: Unknown 20.92/3.77 % (3325123)Termination phase: Saturation 20.92/3.77 20.92/3.77 % (3325123)Memory used [KB]: 12920 20.92/3.77 % (3325123)Time elapsed: 1.035 s 20.92/3.77 % (3325123)Instructions burned: 1021 (million) 20.92/3.77 % (3325123)------------------------------ 20.92/3.77 % (3325123)------------------------------ 20.92/3.79 % (3325128)First to succeed. 21.30/3.80 % (3325128)Refutation found. Thanks to Tanya! 21.30/3.80 % SZS status Theorem for E---3.1_3324989 21.30/3.80 % SZS output start Proof for E---3.1_3324989 21.30/3.80 thf(func_def_0, type, in: $i > $i > $o). 21.30/3.80 thf(func_def_1, type, exu: ($i > $o) > $o). 21.30/3.80 thf(func_def_6, type, setadjoin: $i > $i > $i). 21.30/3.80 thf(func_def_8, type, powerset: $i > $i). 21.30/3.80 thf(func_def_10, type, setunion: $i > $i). 21.30/3.80 thf(func_def_19, type, descr: ($i > $o) > $i). 21.30/3.80 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 21.30/3.80 thf(func_def_26, type, prop2set: $o > $i). 21.30/3.80 thf(func_def_36, type, nonempty: $i > $o). 21.30/3.80 thf(func_def_69, type, set2prop: $i > $o). 21.30/3.80 thf(func_def_88, type, subset: $i > $i > $o). 21.30/3.80 thf(func_def_89, type, disjoint: $i > $i > $o). 21.30/3.80 thf(func_def_90, type, setsmeet: $i > $i > $o). 21.30/3.80 thf(func_def_114, type, binunion: $i > $i > $i). 21.30/3.80 thf(func_def_122, type, binintersect: $i > $i > $i). 21.30/3.80 thf(func_def_135, type, regular: $i > $o). 21.30/3.80 thf(func_def_136, type, setminus: $i > $i > $i). 21.30/3.80 thf(func_def_147, type, symdiff: $i > $i > $i). 21.30/3.80 thf(func_def_153, type, iskpair: $i > $o). 21.30/3.80 thf(func_def_158, type, kpair: $i > $i > $i). 21.30/3.80 thf(func_def_160, type, cartprod: $i > $i > $i). 21.30/3.80 thf(func_def_177, type, singleton: $i > $o). 21.30/3.80 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 21.30/3.80 thf(func_def_184, type, atmost1p: $i > $o). 21.30/3.80 thf(func_def_185, type, atleast2p: $i > $o). 21.30/3.80 thf(func_def_186, type, atmost2p: $i > $o). 21.30/3.80 thf(func_def_187, type, upairsetp: $i > $o). 21.30/3.80 thf(func_def_191, type, kfst: $i > $i). 21.30/3.80 thf(func_def_203, type, ksnd: $i > $i). 21.30/3.80 thf(func_def_213, type, breln: $i > $i > $i > $o). 21.30/3.80 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 21.30/3.80 thf(func_def_222, type, func: $i > $i > $i > $o). 21.30/3.80 thf(func_def_223, type, funcSet: $i > $i > $i). 21.30/3.80 thf(func_def_226, type, ap: $i > $i > $i > $i > $i). 21.30/3.80 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i). 21.30/3.80 thf(func_def_259, type, if: $i > $o > $i > $i > $i). 21.30/3.80 thf(func_def_323, type, breln1: $i > $i > $o). 21.30/3.80 thf(func_def_325, type, breln1Set: $i > $i). 21.30/3.80 thf(func_def_327, type, transitive: $i > $i > $o). 21.30/3.80 thf(func_def_328, type, antisymmetric: $i > $i > $o). 21.30/3.80 thf(func_def_329, type, reflexive: $i > $i > $o). 21.30/3.80 thf(func_def_330, type, refltransitive: $i > $i > $o). 21.30/3.80 thf(func_def_331, type, refllinearorder: $i > $i > $o). 21.30/3.80 thf(func_def_332, type, reflwellordering: $i > $i > $o). 21.30/3.80 thf(func_def_338, type, breln1invset: $i > $i > $i). 21.30/3.80 thf(func_def_353, type, sP0: $i > $i > $o > $o). 21.30/3.80 thf(func_def_354, type, sP1: $i > $i > $i > $o). 21.30/3.80 thf(func_def_355, type, sP2: ($i > $o) > $o). 21.30/3.80 thf(func_def_357, type, sP4: $i > $i > $i > $o). 21.30/3.80 thf(func_def_358, type, sP5: $i > $i > $o). 21.30/3.80 thf(func_def_359, type, sP6: $i > $o). 21.30/3.80 thf(func_def_360, type, sP7: $i > $i > $o). 21.30/3.80 thf(func_def_361, type, sP8: $i > $i > $o). 21.30/3.80 thf(func_def_362, type, sP9: $i > $i > $o). 21.30/3.80 thf(func_def_363, type, sP10: $i > $i > ($i > $i) > $o). 21.30/3.80 thf(func_def_366, type, sP13: $i > $i > $i > $o). 21.30/3.80 thf(func_def_367, type, sP14: ($i > $o) > $i > $o). 21.30/3.80 thf(func_def_368, type, sP15: $i > $i > ($i > $o) > $o). 21.30/3.80 thf(func_def_369, type, sP16: $o > $i > $i > $o). 21.30/3.80 thf(func_def_370, type, sP17: $i > $i > $i > $i > $o). 21.30/3.80 thf(func_def_371, type, sP18: $i > $i > $i > $o). 21.30/3.80 thf(func_def_374, type, sP21: ($i > $o) > $i > $o). 21.30/3.80 thf(func_def_375, type, sP22: $i > $i > $i > ($i > $o) > $o). 21.30/3.80 thf(func_def_376, type, sP23: $i > $i > $i > $o). 21.30/3.80 thf(func_def_377, type, sP24: $i > $i > $o). 21.30/3.80 thf(func_def_379, type, sP26: $i > $i > $i > $o). 21.30/3.80 thf(func_def_381, type, sP28: $i > ($i > $o) > $o). 21.30/3.80 thf(func_def_382, type, sP29: $i > ($i > $o) > $i > $o). 21.30/3.80 thf(func_def_383, type, sP30: $i > ($i > $o) > $o). 21.30/3.80 thf(func_def_385, type, sP32: $i > $i > $i > $o). 21.30/3.80 thf(func_def_386, type, sP33: $i > $i > $i > $o). 21.30/3.80 thf(func_def_387, type, sP34: ($i > $o) > $o). 21.30/3.80 thf(func_def_388, type, sP35: ($i > $o) > $i > $o). 21.30/3.80 thf(func_def_390, type, sP37: $o > $i > $i > $o). 21.30/3.80 thf(func_def_393, type, sP40: $i > ($i > $o) > $o). 21.30/3.80 thf(func_def_394, type, sP41: ($i > $o) > $i > $o). 21.30/3.80 thf(func_def_395, type, sP42: $i > $o). 21.30/3.80 thf(func_def_397, type, sP44: ($i > $o) > $i > $o). 21.30/3.80 thf(func_def_398, type, sP45: ($i > $o) > $i > $i > $i > $o). 21.30/3.80 thf(func_def_399, type, sP46: $i > ($i > $i) > $i > $o). 21.30/3.80 thf(func_def_401, type, sP48: ($i > $o) > $o). 21.30/3.80 thf(func_def_403, type, sP50: $i > ($i > $i > $o) > $i > $o). 21.30/3.80 thf(func_def_404, type, sP51: $i > $i > ($i > $i > $o) > $o). 21.30/3.80 thf(func_def_405, type, sP52: $i > $i > $o). 21.30/3.80 thf(func_def_407, type, sP54: $i > $i > $o > $o). 21.30/3.80 thf(func_def_408, type, sP55: $i > $i > $i > $o). 21.30/3.80 thf(func_def_409, type, sP56: $i > $i > $i > $o). 21.30/3.80 thf(func_def_410, type, sP57: $i > $o > $i > $i > $o). 21.30/3.80 thf(func_def_411, type, sP58: $i > $o > $i > $i > $o). 21.30/3.80 thf(func_def_413, type, sP60: $i > ($i > $i > $o) > $i > $o). 21.30/3.80 thf(func_def_414, type, sP61: $i > ($i > $i > $o) > $o). 21.30/3.80 thf(func_def_416, type, sP63: ($i > $o) > $i > $o). 21.30/3.80 thf(func_def_417, type, sP64: $i > ($i > $o) > $o). 21.30/3.80 thf(func_def_418, type, sP65: $i > ($i > $o) > $o). 21.30/3.80 thf(func_def_420, type, sP67: $i > $o). 21.30/3.80 thf(func_def_421, type, sP68: $i > $o). 21.30/3.80 thf(func_def_422, type, sP69: $i > $i > $i > $i > $o). 21.30/3.80 thf(func_def_423, type, sP70: $i > $i > $i > $i > $o). 21.30/3.80 thf(func_def_425, type, sP72: ($i > $o) > $i > $o). 21.30/3.80 thf(func_def_428, type, sP75: $i > ($i > $o) > $o). 21.30/3.80 thf(func_def_430, type, sP77: $i > $i > $i > $i > $o). 21.30/3.80 thf(func_def_431, type, sP78: $i > $i > $i > $o). 21.30/3.80 thf(func_def_433, type, sP80: $i > $i > $o). 21.30/3.80 thf(func_def_435, type, sP82: ($i > $o) > $o). 21.30/3.80 thf(func_def_437, type, sP84: $i > $i > ($i > $o) > $o). 21.30/3.80 thf(func_def_438, type, sP85: $i > $i > $i > $o). 21.30/3.80 thf(func_def_439, type, sP86: $i > ($i > $o) > ($i > $o) > $i > $o). 21.30/3.80 thf(func_def_440, type, sP87: ($i > $o) > $o). 21.30/3.80 thf(func_def_441, type, sP88: $i > $i > $i > $o). 21.30/3.80 thf(func_def_442, type, sP89: $i > $i > $i > $o). 21.30/3.80 thf(func_def_443, type, sP90: $i > $i > $i > $o). 21.30/3.80 thf(func_def_444, type, sP91: $i > ($i > $o) > $o). 21.30/3.80 thf(func_def_450, type, sK97: $i > $i > $i > $o). 21.30/3.80 thf(func_def_479, type, sK126: $i > $i > $o). 21.30/3.80 thf(func_def_480, type, sK127: $i > ($i > $o) > $i). 21.30/3.80 thf(func_def_481, type, sK128: ($i > $o) > $i). 21.30/3.80 thf(func_def_482, type, sK129: $i > $o). 21.30/3.80 thf(func_def_484, type, sK131: $i > $o). 21.30/3.80 thf(func_def_496, type, sK143: $i > $i > $o). 21.30/3.80 thf(func_def_504, type, sK151: $i > $i). 21.30/3.80 thf(func_def_505, type, sK152: ($i > $i) > $i > $i > $i). 21.30/3.80 thf(func_def_519, type, sK166: $i > $i > $i). 21.30/3.80 thf(func_def_520, type, sK167: $i > $i > $i). 21.30/3.80 thf(func_def_521, type, sK168: $i > $i > $i). 21.30/3.80 thf(func_def_522, type, sK169: $i > $i > $i). 21.30/3.80 thf(func_def_523, type, sK170: $i > $i > $i). 21.30/3.80 thf(func_def_524, type, sK171: $i > $i > $i). 21.30/3.80 thf(func_def_525, type, sK172: $i > $i > $i). 21.30/3.80 thf(func_def_526, type, sK173: $i > $i > $i > $i). 21.30/3.80 thf(func_def_527, type, sK174: $i > $i). 21.30/3.80 thf(func_def_528, type, sK175: $i > $i). 21.30/3.80 thf(func_def_529, type, sK176: $i > $i). 21.30/3.80 thf(func_def_530, type, sK177: $i > $i). 21.30/3.80 thf(func_def_531, type, sK178: $i > $i > $i). 21.30/3.80 thf(func_def_532, type, sK179: $i > $i > $i). 21.30/3.80 thf(func_def_533, type, sK180: $i > $i > $i). 21.30/3.80 thf(func_def_534, type, sK181: $i > $i > $i > $i). 21.30/3.80 thf(func_def_535, type, sK182: $i > $i > $i > $i). 21.30/3.80 thf(func_def_537, type, sK184: $i > $i). 21.30/3.80 thf(func_def_552, type, sK199: $i > $i). 21.30/3.80 thf(func_def_554, type, sK201: $i > ($i > $i) > $i > $i). 21.30/3.80 thf(func_def_555, type, sK202: $i > $i > ($i > $i) > $i). 21.30/3.80 thf(func_def_561, type, sK208: $i > $i). 21.30/3.80 thf(func_def_562, type, sK209: ($i > $i) > $i > $i > $i). 21.30/3.80 thf(func_def_569, type, sK216: $i > $i > $i > $i). 21.30/3.80 thf(func_def_573, type, sK220: $i > $i > ($i > $o) > $i). 21.30/3.80 thf(func_def_574, type, sK221: $i > $i > ($i > $o) > $i). 21.30/3.80 thf(func_def_575, type, sK222: ($i > $o) > $i > $i). 21.30/3.80 thf(func_def_578, type, sK225: $i > $o). 21.30/3.80 thf(func_def_597, type, sK244: $o > $i > $i > $i). 21.30/3.80 thf(func_def_638, type, sK285: $i > $i > $i > $i > $i). 21.30/3.80 thf(func_def_639, type, sK286: $i > $i > $i > $i > $i). 21.30/3.80 thf(func_def_649, type, sK296: $i > $i > $i). 21.30/3.80 thf(func_def_651, type, sK298: $i > $i > $o). 21.30/3.80 thf(func_def_662, type, sK309: $i > $i > $i > ($i > $o) > $i). 21.30/3.80 thf(func_def_663, type, sK310: $i > $i > $i > ($i > $o) > $i). 21.30/3.80 thf(func_def_664, type, sK311: ($i > $o) > $i > $i). 21.30/3.80 thf(func_def_668, type, sK315: $i > $o). 21.30/3.80 thf(func_def_691, type, sK338: $i > $i > $i > $i). 21.30/3.80 thf(func_def_695, type, sK342: $i > $o). 21.30/3.80 thf(func_def_698, type, sK345: $i > $i > $i). 21.30/3.80 thf(func_def_711, type, sK358: $i > $i > $i > $i). 21.30/3.80 thf(func_def_712, type, sK359: $i > $i > $i > $i). 21.30/3.80 thf(func_def_722, type, sK369: $i > $i > $o). 21.30/3.80 thf(func_def_726, type, sK373: $i > $o). 21.30/3.80 thf(func_def_727, type, sK374: $i > $o). 21.30/3.80 thf(func_def_728, type, sK375: ($i > $o) > ($i > $o) > $i). 21.30/3.80 thf(func_def_729, type, sK376: ($i > $o) > ($i > $o) > $i). 21.30/3.80 thf(func_def_739, type, sK386: $i > ($i > $o) > $i > $i). 21.30/3.80 thf(func_def_740, type, sK387: $i > ($i > $o) > $i > $i). 21.30/3.80 thf(func_def_741, type, sK388: $i > ($i > $o) > $i). 21.30/3.80 thf(func_def_744, type, sK391: $i > $o). 21.30/3.80 thf(func_def_745, type, sK392: $i > $o). 21.30/3.80 thf(func_def_747, type, sK394: $i > ($i > $o) > $i). 21.30/3.80 thf(func_def_748, type, sK395: $i > ($i > $o) > $i). 21.30/3.80 thf(func_def_777, type, sK424: $i > $i > $o). 21.30/3.80 thf(func_def_782, type, sK429: $i > $i > $i > $i). 21.30/3.80 thf(func_def_783, type, sK430: $i > $i > $i > $i). 21.30/3.80 thf(func_def_787, type, sK434: ($i > $o) > $i). 21.30/3.80 thf(func_def_788, type, sK435: $i > ($i > $o) > $i). 21.30/3.80 thf(func_def_789, type, sK436: $i > $o). 21.30/3.80 thf(func_def_795, type, sK442: $i > $o). 21.30/3.80 thf(func_def_797, type, sK444: $i > ($i > $o) > $i). 21.30/3.80 thf(func_def_798, type, sK445: ($i > $o) > $i > $i). 21.30/3.80 thf(func_def_829, type, sK476: $i > $i). 21.30/3.80 thf(func_def_831, type, sK478: $i > ($i > $i) > $i > $i). 21.30/3.80 thf(func_def_832, type, sK479: ($i > $o) > $i > $i). 21.30/3.80 thf(func_def_833, type, sK480: ($i > $o) > $i > $i). 21.30/3.80 thf(func_def_834, type, sK481: $i > ($i > $o) > $i). 21.30/3.80 thf(func_def_835, type, sK482: $i > $o). 21.30/3.80 thf(func_def_847, type, sK494: $i > $i > $i). 21.30/3.80 thf(func_def_848, type, sK495: $i > $i). 21.30/3.80 thf(func_def_852, type, sK499: $i > $o). 21.30/3.80 thf(func_def_853, type, sK500: ($i > $o) > $i > $i). 21.30/3.80 thf(func_def_862, type, sK509: ($i > $o) > $i > $i > $i > $i). 21.30/3.80 thf(func_def_863, type, sK510: ($i > $o) > $i > $i > $i > $i). 21.30/3.80 thf(func_def_864, type, sK511: ($i > $o) > $i > $i). 21.30/3.80 thf(func_def_868, type, sK515: $i > $o). 21.30/3.80 thf(func_def_876, type, sK523: $i > $o). 21.30/3.80 thf(func_def_895, type, sK542: $i > $o). 21.30/3.80 thf(func_def_904, type, sK551: $i > $o). 21.30/3.80 thf(func_def_908, type, sK555: $i > $i). 21.30/3.80 thf(func_def_909, type, sK556: ($i > $i) > $i > $i > $i). 21.30/3.80 thf(func_def_910, type, sK557: $i > ($i > $i) > $i > $i). 21.30/3.80 thf(func_def_913, type, sK560: $i > ($i > $o) > $i). 21.30/3.80 thf(func_def_914, type, sK561: ($i > $o) > $i). 21.30/3.80 thf(func_def_915, type, sK562: $i > $o). 21.30/3.80 thf(func_def_940, type, sK587: $i > $i). 21.30/3.80 thf(func_def_942, type, sK589: $i > $i). 21.30/3.80 thf(func_def_945, type, sK592: $i > $i > ($i > $i) > $i). 21.30/3.80 thf(func_def_951, type, sK598: $i > $i > ($i > $i > $o) > $i). 21.30/3.80 thf(func_def_952, type, sK599: $i > $i > ($i > $i > $o) > $i). 21.30/3.80 thf(func_def_953, type, sK600: $i > ($i > $i > $o) > $i > $i). 21.30/3.80 thf(func_def_954, type, sK601: $i > ($i > $i > $o) > $i > $i). 21.30/3.80 thf(func_def_956, type, sK603: $i > $i > $o). 21.30/3.80 thf(func_def_962, type, sK609: $i > $i > $i). 21.30/3.80 thf(func_def_964, type, sK611: $i > $i > $i > $i). 21.30/3.80 thf(func_def_965, type, sK612: $i > $i > $i > $o). 21.30/3.80 thf(func_def_975, type, sK622: $i > $i > $i > $i). 21.30/3.80 thf(func_def_976, type, sK623: $i > $i > $i > $i > $i). 21.30/3.80 thf(func_def_999, type, sK646: $i > $i > $i). 21.30/3.80 thf(func_def_1000, type, sK647: $i > $o). 21.30/3.80 thf(func_def_1007, type, sK654: $i > $i > $o). 21.30/3.80 thf(func_def_1009, type, sK656: $i > ($i > $i > $o) > $i). 21.30/3.80 thf(func_def_1010, type, sK657: $i > $i > ($i > $i > $o) > $i). 21.30/3.80 thf(func_def_1011, type, sK658: $i > ($i > $i > $o) > $i). 21.30/3.80 thf(func_def_1012, type, sK659: $i > ($i > $i > $o) > $i > $i). 21.30/3.80 thf(func_def_1015, type, sK662: $i > ($i > $o) > $i). 21.30/3.80 thf(func_def_1016, type, sK663: $i > ($i > $o) > $i). 21.30/3.80 thf(func_def_1017, type, sK664: ($i > $o) > $i > $i). 21.30/3.80 thf(func_def_1018, type, sK665: $i > $o). 21.30/3.80 thf(func_def_1028, type, sK675: $i > $o). 21.30/3.80 thf(func_def_1029, type, sK676: ($i > $o) > $i > $i). 21.30/3.80 thf(func_def_1030, type, sK677: $i > ($i > $o) > $i). 21.30/3.80 thf(func_def_1040, type, sK687: $i > $i). 21.30/3.80 thf(func_def_1043, type, sK690: $i > $o). 21.30/3.80 thf(func_def_1047, type, sK694: $i > $i). 21.30/3.80 thf(func_def_1048, type, sK695: $i > $i). 21.30/3.80 thf(func_def_1066, type, sK713: $i > $i > $i > $i > $i). 21.30/3.80 thf(func_def_1067, type, sK714: $i > $i > $i > $i > $i). 21.30/3.80 thf(func_def_1068, type, sK715: $i > $i > $i > $i > $i). 21.30/3.80 thf(func_def_1069, type, sK716: $i > $i > $i > $i > $i). 21.30/3.80 thf(func_def_1076, type, sK723: $i > $i > $i). 21.30/3.80 thf(func_def_1078, type, sK725: $i > $o). 21.30/3.81 thf(func_def_1079, type, sK726: ($i > $o) > $i > $i). 21.30/3.81 thf(func_def_1080, type, sK727: ($i > $o) > $i > $i). 21.30/3.81 thf(func_def_1095, type, sK742: $i > $i > $i). 21.30/3.81 thf(func_def_1106, type, sK753: ($i > $o) > $i). 21.30/3.81 thf(func_def_1107, type, sK754: $i > $o). 21.30/3.81 thf(func_def_1108, type, sK755: $i > $o). 21.30/3.81 thf(func_def_1113, type, sK760: $i > $o). 21.30/3.81 thf(func_def_1116, type, sK763: $i > $o). 21.30/3.81 thf(func_def_1138, type, sK785: $i > $o). 21.30/3.81 thf(func_def_1140, type, sK787: $i > ($i > $o) > $i). 21.30/3.81 thf(func_def_1141, type, sK788: $i > ($i > $o) > $i). 21.30/3.81 thf(func_def_1148, type, sK795: $i > $i > $o). 21.30/3.81 thf(func_def_1152, type, sK799: $i > $i). 21.30/3.81 thf(func_def_1162, type, sK809: $i > $i > $i > $i). 21.30/3.81 thf(func_def_1163, type, sK810: $i > $i > $i > $i > $i). 21.30/3.81 thf(func_def_1164, type, sK811: $i > $i > $i > $i > $i). 21.30/3.81 thf(func_def_1165, type, sK812: $i > $i > $i > $i > $i). 21.30/3.81 thf(func_def_1184, type, sK831: $i > $i > $o). 21.30/3.81 thf(func_def_1187, type, sK834: $i > $o). 21.30/3.81 thf(func_def_1188, type, sK835: $i > $o). 21.30/3.81 thf(func_def_1189, type, sK836: ($i > $o) > ($i > $o) > $i). 21.30/3.81 thf(func_def_1190, type, sK837: ($i > $o) > ($i > $o) > $i). 21.30/3.81 thf(func_def_1193, type, sK840: $i > $i > $i). 21.30/3.81 thf(func_def_1194, type, sK841: $i > $i > $i). 21.30/3.81 thf(func_def_1195, type, sK842: ($i > $o) > $i). 21.30/3.81 thf(func_def_1196, type, sK843: $i > ($i > $o) > $i). 21.30/3.81 thf(func_def_1197, type, sK844: $i > $o). 21.30/3.81 thf(func_def_1200, type, sK847: $i > $i > $i). 21.30/3.81 thf(func_def_1209, type, sK856: $i > $i > ($i > $o) > $i). 21.30/3.81 thf(func_def_1210, type, sK857: $i > $o). 21.30/3.81 thf(func_def_1218, type, sK865: $i > $i). 21.30/3.81 thf(func_def_1230, type, sK877: $i > $o). 21.30/3.81 thf(func_def_1244, type, sK891: $i > $i > $i > $i). 21.30/3.81 thf(func_def_1245, type, sK892: $i > $i > $i > $i > $i). 21.30/3.81 thf(func_def_1285, type, sK932: $i > ($i > $o) > ($i > $o) > $i > $i). 21.30/3.81 thf(func_def_1286, type, sK933: $i > ($i > $o) > ($i > $o) > $i > $i). 21.30/3.81 thf(func_def_1289, type, sK936: $i > $o). 21.30/3.81 thf(func_def_1290, type, sK937: $i > $o). 21.30/3.81 thf(func_def_1291, type, sK938: ($i > $o) > $i). 21.30/3.81 thf(func_def_1292, type, sK939: ($i > $o) > $i). 21.30/3.81 thf(func_def_1293, type, sK940: $i > $o). 21.30/3.81 thf(func_def_1300, type, sK947: $i > $o). 21.30/3.81 thf(func_def_1307, type, sK954: $i > $i > $o). 21.30/3.81 thf(func_def_1318, type, sK965: $i > $i > $i). 21.30/3.81 thf(func_def_1327, type, sK974: $i > $i > $i > $i). 21.30/3.81 thf(func_def_1328, type, sK975: $i > $i > $i > $i). 21.30/3.81 thf(func_def_1329, type, sK976: $i > $i > $i > $i). 21.30/3.81 thf(func_def_1330, type, sK977: $i > $i > $i > $i). 21.30/3.81 thf(func_def_1339, type, sK986: $i > $i > $i > $i). 21.30/3.81 thf(func_def_1340, type, sK987: $i > $i > $i > $i). 21.30/3.81 thf(func_def_1351, type, sK998: $i > $o). 21.30/3.81 thf(func_def_1352, type, sK999: ($i > $o) > $i > $i). 21.30/3.81 thf(func_def_1353, type, sK1000: $i > ($i > $o) > $i). 21.30/3.81 thf(func_def_1373, type, sK1020: $i > $o). 21.30/3.81 thf(func_def_1395, type, ph1042: !>[X0: $tType]:(X0)). 21.30/3.81 thf(f10344,plain,( 21.30/3.81 $false), 21.30/3.81 inference(subsumption_resolution,[status(thm)],[f10343,f4005])). 21.30/3.81 thf(f4005,plain,( 21.30/3.81 ($true = (in @ sK576 @ sK573))), 21.30/3.81 inference(cnf_transformation,[status(thm)],[f2297])). 21.30/3.81 thf(f2297,plain,( 21.30/3.81 (notequalI1 = $true) & (uniqinunit = $true) & (theprop = $true) & (exuE3u = $true) & (funcinfuncset = $true) & (binintersectSubset5 = $true) & (setukpairinjL2 = $true) & (setukpairIL = $true) & (eqimpsubset1 = $true) & (complementSubsetComplementIntersect = $true) & (cartprodpairmemER = $true) & (demorgan2b2 = $true) & (iffalseProp1 = $true) & (setunionsingleton = $true) & (binintersectSubset2 = $true) & (eta1 = $true) & (cartprodpairsurjEq = $true) & (powersetAx = $true) & (demorgan2b = $true) & (ubforcartprodlem3 = $true) & (complementUnionInPowersetComplement = $true) & (setOfPairsIsBReln1 = $true) & (binunionTILcontra = $true) & (woz1_4 = $true) & (binunionEcases = $true) & (doubleComplementI1 = $true) & (binintersectTELcontra = $true) & (brelnall2 = $true) & (exuI2 = $true) & (ifp = $true) & (ex1E2 = $true) & (exu__Cong = $true) & (quantDeMorgan4 = $true) & (setukpairIR = $true) & (binunionE = $true) & (setukpairinjR1 = $true) & (doubleComplementE1 = $true) & (setoftrueEq = $true) & (setadjoin__Cong = $true) & (disjointsetsI1 = $true) & (setadjoinIR = $true) & (nonemptyI = $true) & (emptysetE = $true) & (notinsingleton = $true) & (setunionE = $true) & (exuEu = $true) & (emptysetsubset = $true) & (inPowerset = $true) & (subsetE = $true) & (intersectInPowersetIntersectUnions = $true) & (dpsetconstrI = $true) & (woz13rule0 = $true) & (binunionIR = $true) & (binintersectRsub = $true) & (setadjoinAx = $true) & (upairequniteq = $true) & (woz13rule4 = $true) & (iftrueProp2 = $true) & (singletonsuniq = $true) & (dsetconstrI = $true) & (binintersectT_lem = $true) & (binunionLsub = $true) & (dpsetconstrER = $true) & (sepSubset = $true) & (subsetemptysetimpeq = $true) & (setukpairinjR11 = $true) & (ex1I2 = $true) & (eta2 = $true) & (upairsetE = $true) & (setunionsingleton1 = $true) & (kpairp = $true) & (setukpairinjL1 = $true) & (foundationAx = $true) & (breln1SetBreln1 = $true) & (breln1invprop = $true) & (breln1all1 = $true) & (dsetconstr__Cong = $true) & (funcextLem = $true) & (setextAx = $true) & (subPowSU = $true) & (demorgan1b = $true) & (descr__Cong = $true) & (singletoninpowunion = $true) & (breln1all2 = $true) & (emptysetAx = $true) & (subsetI1 = $true) & (binintersectI = $true) & (setminusIRneg = $true) & (cartprodmempair = $true) & (binintersectSubset3 = $true) & (kfstpairEq = $true) & (complementImpComplementIntersect = $true) & (funcext = $true) & (funcImageSingleton = $true) & (upairsetIL = $true) & (setunion__Cong = $true) & (powersetT_lem = $true) & (cartprodpairmemEL = $true) & (subsetE2 = $true) & (emptyset__Cong = $true) & (subsetI2 = $true) & (complementTE1 = $true) & (powersetI = $true) & (binintersectSubset1 = $true) & (inIntersectImpInUnion2 = $true) & (quantDeMorgan3 = $true) & (choice2fnsingleton = $true) & (dpsetconstrSub = $true) & (setadjoinOr = $true) & (doubleComplementSub2 = $true) & (binintersectER = $true) & (lamp = $true) & (exuI1 = $true) & (notsubsetI = $true) & (demorgan1 = $true) & (contrasubsetT2 = $true) & (subsetTrans = $true) & (symdiffIneg1 = $true) & (woz13rule2 = $true) & (bs114d = $true) & (cartprodmempair1 = $true) & (woz13rule1 = $true) & (ubforcartprodlem2 = $true) & (demorgan1a = $true) & (notinemptyset = $true) & (setminusILneg = $true) & (((($true != (in @ (kpair @ sK576 @ sK575) @ (breln1invset @ sK573 @ sK574))) & ($true = (in @ (kpair @ sK575 @ sK576) @ sK574)) & ($true = (in @ sK576 @ sK573))) & ((in @ sK575 @ sK573) = $true)) & ($true = (breln1 @ sK573 @ sK574))) & (iftrueorfalse = $true) & (omega__Cong = $true) & (funcGraphProp4 = $true) & (ap2apEq1 = $true) & (symdiffI1 = $true) & (eqbreln = $true) & (binunionTIRcontra = $true) & (woz1_5 = $true) & (omegaIndAx = $true) & (symdiffE = $true) & (setminusI = $true) & (notdexE = $true) & (binunionTE = $true) & (ksndsingleton = $true) & (doubleComplementEq = $true) & (prop2setE = $true) & (setminusEL = $true) & (subsetTI = $true) & (ap2apEq2 = $true) & (dsetconstrEL = $true) & (powersetE = $true) & (eqimpsubset2 = $true) & (complementTcontraSubset = $true) & (omega0Ax = $true) & (binintersectLsub = $true) & (setextsub = $true) & (powerset__Cong = $true) & (upairset2IR = $true) & (ex1E1 = $true) & (cartprodsndin = $true) & (symdiffIneg2 = $true) & (dpsetconstrEL2 = $true) & (setunionE2 = $true) & (brelnall1 = $true) & (powersetsubset = $true) & (inCongP = $true) & (app = $true) & (woz1_2 = $true) & (iftrue = $true) & (contrasubsetT1 = $true) & (emptyInPowerset = $true) & (dpsetconstrEL1 = $true) & (contraSubsetComplement = $true) & (binunionTEcontra = $true) & (emptyE1 = $true) & (setukpairinjR2 = $true) & (woz1_3 = $true) & (ap2p = $true) & (funcGraphProp2 = $true) & (setbeta = $true) & (subsetRefl = $true) & (in__Cong = $true) & (notequalI2 = $true) & (cartprodfstin = $true) & (ifSingleton = $true) & (replAx = $true) & (eqinunit = $true) & (setukpairinjR12 = $true) & (singletonsubset = $true) & (demorgan2 = $true) & (setadjoinIL = $true) & (infuncsetfunc = $true) & (binintersectSubset4 = $true) & (singletoninpowerset = $true) & (powersetI1 = $true) & (subbreln1 = $true) & (demorgan2a = $true) & (kfstsingleton = $true) & (complementT_lem = $true) & (omegaSAx = $true) & (nonemptyE1 = $true) & (funcGraphProp1 = $true) & (exuE2 = $true) & (binunionT_lem = $true) & (woz13rule3 = $true) & (upairset2E = $true) & (cartprodpairin = $true) & (notdallE = $true) & (vacuousDall = $true) & (demorgan2a1 = $true) & (contrasubsetT3 = $true) & (complementTnotintersectT = $true) & (binunionIL = $true) & (setukpairinjR = $true) & (noeltsimpempty = $true) & (secondinupair = $true) & (subbreln = $true) & (descrp = $true) & (ksndpairEq = $true) & (setadjoinSub2 = $true) & (emptyI = $true) & (setunionsingleton2 = $true) & (iffalseProp2 = $true) & (cartprodsndpairEq = $true) & (funcGraphProp3 = $true) & (quantDeMorgan1 = $true) & (theeq = $true) & (setadjoinSub = $true) & (powersetTI1 = $true) & (lam2p = $true) & (subset2powerset = $true) & (setext = $true) & (quantDeMorgan2 = $true) & (funcext2 = $true) & (singletonsswitch = $true) & (prop2set2propI = $true) & (upairsetIR = $true) & (ex1I = $true) & (powersetTE1 = $true) & (complementInPowersetComplementIntersect = $true) & (apProp = $true) & (woz1_1 = $true) & (setminusLsub = $true) & (setminusER = $true) & (nonemptyImpWitness = $true) & (emptysetimpfalse = $true) & (lamProp = $true) & (inIntersectImpInUnion = $true) & (setminusSubset1 = $true) & (sepInPowerset = $true) & (setminusSubset2 = $true) & (inIntersectImpInIntersectUnions = $true) & (exuE1 = $true) & (cartprodfstpairEq = $true) & (setminusT_lem = $true) & (dsetconstrER = $true) & (setminusELneg = $true) & (complementTI1 = $true) & (binintersectTERcontra = $true) & (inComplementUnionImpInComplement1 = $true) & (emptyinPowerset = $true) & (lam2lamEq = $true) & (demorgan2a2 = $true) & (doubleComplementSub1 = $true) & (emptyinunitempty = $true) & (exuI3 = $true) & (setminusERneg = $true) & (setextT = $true) & (symdiffI2 = $true) & (powersetE1 = $true) & (dpsetconstrERa = $true) & (upairinpowunion = $true) & (kpairsurjEq = $true) & (cartprodmempaircEq = $true) & (setukpairinjL = $true) & (setunionAx = $true) & (wellorderingAx = $true) & (upairsubunion = $true) & (contrasubsetT = $true) & (kpairiskpair = $true) & (singletonprop = $true) & (binintersectEL = $true) & (iffalse = $true) & (setadjoinE = $true) & (ubforcartprodlem1 = $true) & (beta1 = $true) & (binunionRsub = $true) & (setunionI = $true) & (inComplementUnionImpNotIn1 = $true) & (exuE3e = $true) & (beta2 = $true) & (setOfPairsIsBReln = $true) & (eqbreln1 = $true) & (nonemptyI1 = $true) & (iftrueProp1 = $true) & (prop2setI = $true)), 21.30/3.81 inference(skolemisation,[status(esa),new_symbols(skolem,[sK573,sK574,sK575,sK576])],[f1233,f2296,f2295,f2294])). 21.30/3.81 thf(f2294,plain,( 21.30/3.81 ? [X0 : $i,X1 : $i] : (? [X2 : $i] : (? [X3 : $i] : (($true != (in @ (kpair @ X3 @ X2) @ (breln1invset @ X0 @ X1))) & ($true = (in @ (kpair @ X2 @ X3) @ X1)) & ($true = (in @ X3 @ X0))) & ($true = (in @ X2 @ X0))) & ($true = (breln1 @ X0 @ X1))) => (? [X2 : $i] : (? [X3 : $i] : (($true != (in @ (kpair @ X3 @ X2) @ (breln1invset @ sK573 @ sK574))) & ($true = (in @ (kpair @ X2 @ X3) @ sK574)) & ($true = (in @ X3 @ sK573))) & ($true = (in @ X2 @ sK573))) & ($true = (breln1 @ sK573 @ sK574)))), 21.30/3.81 introduced(definition,[],[choice_axiom])). 21.30/3.81 thf(f2295,plain,( 21.30/3.81 ? [X2 : $i] : (? [X3 : $i] : (($true != (in @ (kpair @ X3 @ X2) @ (breln1invset @ sK573 @ sK574))) & ($true = (in @ (kpair @ X2 @ X3) @ sK574)) & ($true = (in @ X3 @ sK573))) & ($true = (in @ X2 @ sK573))) => (? [X3 : $i] : (($true != (in @ (kpair @ X3 @ sK575) @ (breln1invset @ sK573 @ sK574))) & ($true = (in @ (kpair @ sK575 @ X3) @ sK574)) & ($true = (in @ X3 @ sK573))) & ((in @ sK575 @ sK573) = $true))), 21.30/3.81 introduced(definition,[],[choice_axiom])). 21.30/3.81 thf(f2296,plain,( 21.30/3.81 ? [X3 : $i] : (($true != (in @ (kpair @ X3 @ sK575) @ (breln1invset @ sK573 @ sK574))) & ($true = (in @ (kpair @ sK575 @ X3) @ sK574)) & ($true = (in @ X3 @ sK573))) => (($true != (in @ (kpair @ sK576 @ sK575) @ (breln1invset @ sK573 @ sK574))) & ($true = (in @ (kpair @ sK575 @ sK576) @ sK574)) & ($true = (in @ sK576 @ sK573)))), 21.30/3.81 introduced(definition,[],[choice_axiom])). 21.30/3.81 thf(f1233,plain,( 21.30/3.81 (notequalI1 = $true) & (uniqinunit = $true) & (theprop = $true) & (exuE3u = $true) & (funcinfuncset = $true) & (binintersectSubset5 = $true) & (setukpairinjL2 = $true) & (setukpairIL = $true) & (eqimpsubset1 = $true) & (complementSubsetComplementIntersect = $true) & (cartprodpairmemER = $true) & (demorgan2b2 = $true) & (iffalseProp1 = $true) & (setunionsingleton = $true) & (binintersectSubset2 = $true) & (eta1 = $true) & (cartprodpairsurjEq = $true) & (powersetAx = $true) & (demorgan2b = $true) & (ubforcartprodlem3 = $true) & (complementUnionInPowersetComplement = $true) & (setOfPairsIsBReln1 = $true) & (binunionTILcontra = $true) & (woz1_4 = $true) & (binunionEcases = $true) & (doubleComplementI1 = $true) & (binintersectTELcontra = $true) & (brelnall2 = $true) & (exuI2 = $true) & (ifp = $true) & (ex1E2 = $true) & (exu__Cong = $true) & (quantDeMorgan4 = $true) & (setukpairIR = $true) & (binunionE = $true) & (setukpairinjR1 = $true) & (doubleComplementE1 = $true) & (setoftrueEq = $true) & (setadjoin__Cong = $true) & (disjointsetsI1 = $true) & (setadjoinIR = $true) & (nonemptyI = $true) & (emptysetE = $true) & (notinsingleton = $true) & (setunionE = $true) & (exuEu = $true) & (emptysetsubset = $true) & (inPowerset = $true) & (subsetE = $true) & (intersectInPowersetIntersectUnions = $true) & (dpsetconstrI = $true) & (woz13rule0 = $true) & (binunionIR = $true) & (binintersectRsub = $true) & (setadjoinAx = $true) & (upairequniteq = $true) & (woz13rule4 = $true) & (iftrueProp2 = $true) & (singletonsuniq = $true) & (dsetconstrI = $true) & (binintersectT_lem = $true) & (binunionLsub = $true) & (dpsetconstrER = $true) & (sepSubset = $true) & (subsetemptysetimpeq = $true) & (setukpairinjR11 = $true) & (ex1I2 = $true) & (eta2 = $true) & (upairsetE = $true) & (setunionsingleton1 = $true) & (kpairp = $true) & (setukpairinjL1 = $true) & (foundationAx = $true) & (breln1SetBreln1 = $true) & (breln1invprop = $true) & (breln1all1 = $true) & (dsetconstr__Cong = $true) & (funcextLem = $true) & (setextAx = $true) & (subPowSU = $true) & (demorgan1b = $true) & (descr__Cong = $true) & (singletoninpowunion = $true) & (breln1all2 = $true) & (emptysetAx = $true) & (subsetI1 = $true) & (binintersectI = $true) & (setminusIRneg = $true) & (cartprodmempair = $true) & (binintersectSubset3 = $true) & (kfstpairEq = $true) & (complementImpComplementIntersect = $true) & (funcext = $true) & (funcImageSingleton = $true) & (upairsetIL = $true) & (setunion__Cong = $true) & (powersetT_lem = $true) & (cartprodpairmemEL = $true) & (subsetE2 = $true) & (emptyset__Cong = $true) & (subsetI2 = $true) & (complementTE1 = $true) & (powersetI = $true) & (binintersectSubset1 = $true) & (inIntersectImpInUnion2 = $true) & (quantDeMorgan3 = $true) & (choice2fnsingleton = $true) & (dpsetconstrSub = $true) & (setadjoinOr = $true) & (doubleComplementSub2 = $true) & (binintersectER = $true) & (lamp = $true) & (exuI1 = $true) & (notsubsetI = $true) & (demorgan1 = $true) & (contrasubsetT2 = $true) & (subsetTrans = $true) & (symdiffIneg1 = $true) & (woz13rule2 = $true) & (bs114d = $true) & (cartprodmempair1 = $true) & (woz13rule1 = $true) & (ubforcartprodlem2 = $true) & (demorgan1a = $true) & (notinemptyset = $true) & (setminusILneg = $true) & ? [X0 : $i,X1 : $i] : (? [X2 : $i] : (? [X3 : $i] : (($true != (in @ (kpair @ X3 @ X2) @ (breln1invset @ X0 @ X1))) & ($true = (in @ (kpair @ X2 @ X3) @ X1)) & ($true = (in @ X3 @ X0))) & ($true = (in @ X2 @ X0))) & ($true = (breln1 @ X0 @ X1))) & (iftrueorfalse = $true) & (omega__Cong = $true) & (funcGraphProp4 = $true) & (ap2apEq1 = $true) & (symdiffI1 = $true) & (eqbreln = $true) & (binunionTIRcontra = $true) & (woz1_5 = $true) & (omegaIndAx = $true) & (symdiffE = $true) & (setminusI = $true) & (notdexE = $true) & (binunionTE = $true) & (ksndsingleton = $true) & (doubleComplementEq = $true) & (prop2setE = $true) & (setminusEL = $true) & (subsetTI = $true) & (ap2apEq2 = $true) & (dsetconstrEL = $true) & (powersetE = $true) & (eqimpsubset2 = $true) & (complementTcontraSubset = $true) & (omega0Ax = $true) & (binintersectLsub = $true) & (setextsub = $true) & (powerset__Cong = $true) & (upairset2IR = $true) & (ex1E1 = $true) & (cartprodsndin = $true) & (symdiffIneg2 = $true) & (dpsetconstrEL2 = $true) & (setunionE2 = $true) & (brelnall1 = $true) & (powersetsubset = $true) & (inCongP = $true) & (app = $true) & (woz1_2 = $true) & (iftrue = $true) & (contrasubsetT1 = $true) & (emptyInPowerset = $true) & (dpsetconstrEL1 = $true) & (contraSubsetComplement = $true) & (binunionTEcontra = $true) & (emptyE1 = $true) & (setukpairinjR2 = $true) & (woz1_3 = $true) & (ap2p = $true) & (funcGraphProp2 = $true) & (setbeta = $true) & (subsetRefl = $true) & (in__Cong = $true) & (notequalI2 = $true) & (cartprodfstin = $true) & (ifSingleton = $true) & (replAx = $true) & (eqinunit = $true) & (setukpairinjR12 = $true) & (singletonsubset = $true) & (demorgan2 = $true) & (setadjoinIL = $true) & (infuncsetfunc = $true) & (binintersectSubset4 = $true) & (singletoninpowerset = $true) & (powersetI1 = $true) & (subbreln1 = $true) & (demorgan2a = $true) & (kfstsingleton = $true) & (complementT_lem = $true) & (omegaSAx = $true) & (nonemptyE1 = $true) & (funcGraphProp1 = $true) & (exuE2 = $true) & (binunionT_lem = $true) & (woz13rule3 = $true) & (upairset2E = $true) & (cartprodpairin = $true) & (notdallE = $true) & (vacuousDall = $true) & (demorgan2a1 = $true) & (contrasubsetT3 = $true) & (complementTnotintersectT = $true) & (binunionIL = $true) & (setukpairinjR = $true) & (noeltsimpempty = $true) & (secondinupair = $true) & (subbreln = $true) & (descrp = $true) & (ksndpairEq = $true) & (setadjoinSub2 = $true) & (emptyI = $true) & (setunionsingleton2 = $true) & (iffalseProp2 = $true) & (cartprodsndpairEq = $true) & (funcGraphProp3 = $true) & (quantDeMorgan1 = $true) & (theeq = $true) & (setadjoinSub = $true) & (powersetTI1 = $true) & (lam2p = $true) & (subset2powerset = $true) & (setext = $true) & (quantDeMorgan2 = $true) & (funcext2 = $true) & (singletonsswitch = $true) & (prop2set2propI = $true) & (upairsetIR = $true) & (ex1I = $true) & (powersetTE1 = $true) & (complementInPowersetComplementIntersect = $true) & (apProp = $true) & (woz1_1 = $true) & (setminusLsub = $true) & (setminusER = $true) & (nonemptyImpWitness = $true) & (emptysetimpfalse = $true) & (lamProp = $true) & (inIntersectImpInUnion = $true) & (setminusSubset1 = $true) & (sepInPowerset = $true) & (setminusSubset2 = $true) & (inIntersectImpInIntersectUnions = $true) & (exuE1 = $true) & (cartprodfstpairEq = $true) & (setminusT_lem = $true) & (dsetconstrER = $true) & (setminusELneg = $true) & (complementTI1 = $true) & (binintersectTERcontra = $true) & (inComplementUnionImpInComplement1 = $true) & (emptyinPowerset = $true) & (lam2lamEq = $true) & (demorgan2a2 = $true) & (doubleComplementSub1 = $true) & (emptyinunitempty = $true) & (exuI3 = $true) & (setminusERneg = $true) & (setextT = $true) & (symdiffI2 = $true) & (powersetE1 = $true) & (dpsetconstrERa = $true) & (upairinpowunion = $true) & (kpairsurjEq = $true) & (cartprodmempaircEq = $true) & (setukpairinjL = $true) & (setunionAx = $true) & (wellorderingAx = $true) & (upairsubunion = $true) & (contrasubsetT = $true) & (kpairiskpair = $true) & (singletonprop = $true) & (binintersectEL = $true) & (iffalse = $true) & (setadjoinE = $true) & (ubforcartprodlem1 = $true) & (beta1 = $true) & (binunionRsub = $true) & (setunionI = $true) & (inComplementUnionImpNotIn1 = $true) & (exuE3e = $true) & (beta2 = $true) & (setOfPairsIsBReln = $true) & (eqbreln1 = $true) & (nonemptyI1 = $true) & (iftrueProp1 = $true) & (prop2setI = $true)), 21.30/3.81 inference(flattening,[status(thm)],[f1232])). 21.30/3.81 thf(f1232,plain,( 21.30/3.81 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0 : $i,X1 : $i] : (? [X2 : $i] : (? [X3 : $i] : ((($true != (in @ (kpair @ X3 @ X2) @ (breln1invset @ X0 @ X1))) & ($true = (in @ (kpair @ X2 @ X3) @ X1))) & ($true = (in @ X3 @ X0))) & ($true = (in @ X2 @ X0))) & ($true = (breln1 @ X0 @ X1))) & (breln1invprop = $true)) & (eqbreln1 = $true)) & (subbreln1 = $true)) & (breln1all1 = $true)) & (setOfPairsIsBReln1 = $true)) & (choice2fnsingleton = $true)) & (breln1SetBreln1 = $true)) & (breln1all2 = $true)) & (woz1_5 = $true)) & (woz1_4 = $true)) & (woz1_3 = $true)) & (woz1_2 = $true)) & (woz1_1 = $true)) & (woz13rule4 = $true)) & (woz13rule3 = $true)) & (woz13rule2 = $true)) & (woz13rule1 = $true)) & (woz13rule0 = $true)) & (demorgan2 = $true)) & (demorgan2b = $true)) & (demorgan2b2 = $true)) & (demorgan2a = $true)) & (demorgan1 = $true)) & (demorgan1b = $true)) & (demorgan1a = $true)) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)), 21.30/3.81 inference(ennf_transformation,[status(thm)],[f394])). 21.30/3.81 thf(f394,plain,( 21.30/3.81 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ((demorgan1b = $true) => ((demorgan1 = $true) => ((demorgan2a = $true) => ((demorgan2b2 = $true) => ((demorgan2b = $true) => ((demorgan2 = $true) => ((woz13rule0 = $true) => ((woz13rule1 = $true) => ((woz13rule2 = $true) => ((woz13rule3 = $true) => ((woz13rule4 = $true) => ((woz1_1 = $true) => ((woz1_2 = $true) => ((woz1_3 = $true) => ((woz1_4 = $true) => ((woz1_5 = $true) => ((breln1all2 = $true) => ((breln1SetBreln1 = $true) => ((choice2fnsingleton = $true) => ((setOfPairsIsBReln1 = $true) => ((breln1all1 = $true) => ((subbreln1 = $true) => ((eqbreln1 = $true) => ((breln1invprop = $true) => ! [X0 : $i,X1 : $i] : (($true = (breln1 @ X0 @ X1)) => ! [X2 : $i] : (($true = (in @ X2 @ X0)) => ! [X3 : $i] : (($true = (in @ X3 @ X0)) => (($true = (in @ (kpair @ X2 @ X3) @ X1)) => ($true = (in @ (kpair @ X3 @ X2) @ (breln1invset @ X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 21.30/3.81 inference(fool_elimination,[status(thm)],[f393])). 21.30/3.81 thf(f393,plain,( 21.30/3.81 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => ! [X0 : $i,X1 : $i] : ((breln1 @ X0 @ X1) => ! [X2 : $i] : ((in @ X2 @ X0) => ! [X3 : $i] : ((in @ X3 @ X0) => ((in @ (kpair @ X2 @ X3) @ X1) => (in @ (kpair @ X3 @ X2) @ (breln1invset @ X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 21.30/3.81 inference(rectify,[status(thm)],[f299])). 21.30/3.81 thf(f299,negated_conjecture,( 21.30/3.81 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => ! [X3 : $i,X13 : $i] : ((breln1 @ X3 @ X13) => ! [X1 : $i] : ((in @ X1 @ X3) => ! [X2 : $i] : ((in @ X2 @ X3) => ((in @ (kpair @ X1 @ X2) @ X13) => (in @ (kpair @ X2 @ X1) @ (breln1invset @ X3 @ X13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 21.30/3.81 inference(negated_conjecture,[status(cth)],[f298])). 21.30/3.81 thf(f298,conjecture,( 21.30/3.81 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => ! [X3 : $i,X13 : $i] : ((breln1 @ X3 @ X13) => ! [X1 : $i] : ((in @ X1 @ X3) => ! [X2 : $i] : ((in @ X2 @ X3) => ((in @ (kpair @ X1 @ X2) @ X13) => (in @ (kpair @ X2 @ X1) @ (breln1invset @ X3 @ X13)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 21.30/3.81 file('/export/starexec/sandbox2/tmp/tmp.XfRWs9ScBT/E---3.1_3324989.p',breln1invI)). 21.30/3.81 thf(f10343,plain,( 21.30/3.81 ($true != (in @ sK576 @ sK573))), 21.30/3.81 inference(subsumption_resolution,[status(thm)],[f10342,f4004])). 21.30/3.81 thf(f4004,plain,( 21.30/3.81 ((in @ sK575 @ sK573) = $true)), 21.30/3.81 inference(cnf_transformation,[status(thm)],[f2297])). 21.30/3.81 thf(f10342,plain,( 21.30/3.81 ((in @ sK575 @ sK573) != $true) | ($true != (in @ sK576 @ sK573))), 21.30/3.81 inference(subsumption_resolution,[status(thm)],[f10334,f4006])). 21.30/3.81 thf(f4006,plain,( 21.30/3.81 ($true = (in @ (kpair @ sK575 @ sK576) @ sK574))), 21.30/3.81 inference(cnf_transformation,[status(thm)],[f2297])). 21.30/3.81 thf(f10334,plain,( 21.30/3.81 ($true != (in @ (kpair @ sK575 @ sK576) @ sK574)) | ((in @ sK575 @ sK573) != $true) | ($true != (in @ sK576 @ sK573))), 21.30/3.81 inference(beta_eta_normalization,[status(thm)],[f10333])). 21.30/3.81 thf(f10333,plain,( 21.30/3.81 ((in @ sK575 @ sK573) != $true) | ($true != (in @ sK576 @ sK573)) | ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (in @ (kpair @ Y1 @ Y0) @ sK574)))) @ sK576 @ sK575))), 21.30/3.81 inference(trivial_inequality_removal,[status(thm)],[f10325])). 21.30/3.81 thf(f10325,plain,( 21.30/3.81 ((in @ sK575 @ sK573) != $true) | ($true != $true) | ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (in @ (kpair @ Y1 @ Y0) @ sK574)))) @ sK576 @ sK575)) | ($true != (in @ sK576 @ sK573))), 21.30/3.81 inference(superposition,[status(thm)],[f6105,f6146])). 21.30/3.81 thf(f6146,plain,( 21.30/3.81 ( ! [X8 : $i,X6 : $i,X9 : $i,X7 : $i > $i > $o,X5 : $i] : (((in @ (kpair @ X6 @ X9) @ (dpsetconstr @ X5 @ X8 @ X7)) = $true) | ($true != (in @ X9 @ X8)) | ($true != (in @ X6 @ X5)) | ($true != (X7 @ X6 @ X9))) )), 21.30/3.81 inference(beta_eta_normalization,[status(thm)],[f6145])). 21.30/3.81 thf(f6145,plain,( 21.30/3.81 ( ! [X8 : $i,X6 : $i,X9 : $i,X7 : $i > $i > $o,X5 : $i] : (($true != (in @ X9 @ X8)) | ($true != (in @ X6 @ X5)) | ($true = (in @ (kpair @ X6 @ X9) @ (dpsetconstr @ X5 @ X8 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X7 @ Y0 @ Y1))))))) | ($true != (X7 @ X6 @ X9))) )), 21.30/3.81 inference(trivial_inequality_removal,[status(thm)],[f5661])). 21.30/3.81 thf(f5661,plain,( 21.30/3.81 ( ! [X8 : $i,X6 : $i,X9 : $i,X7 : $i > $i > $o,X5 : $i] : (($true != (X7 @ X6 @ X9)) | ($true != (in @ X6 @ X5)) | ($true != (in @ X9 @ X8)) | ($true = (in @ (kpair @ X6 @ X9) @ (dpsetconstr @ X5 @ X8 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X7 @ Y0 @ Y1))))))) | ($true != $true)) )), 21.30/3.81 inference(definition_unfolding,[status(thm)],[f4545,f4083])). 21.30/3.81 thf(f4083,plain,( 21.30/3.81 (dpsetconstrI = $true)), 21.30/3.81 inference(cnf_transformation,[status(thm)],[f2297])). 21.30/3.81 thf(f4545,plain,( 21.30/3.81 ( ! [X8 : $i,X6 : $i,X9 : $i,X7 : $i > $i > $o,X5 : $i] : (($true = (in @ (kpair @ X6 @ X9) @ (dpsetconstr @ X5 @ X8 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X7 @ Y0 @ Y1))))))) | ($true != (X7 @ X6 @ X9)) | ($true != (in @ X9 @ X8)) | ($true != (in @ X6 @ X5)) | (dpsetconstrI != $true)) )), 21.30/3.81 inference(cnf_transformation,[status(thm)],[f2763])). 21.30/3.81 thf(f2763,plain,( 21.30/3.81 ((dpsetconstrI = $true) | ((($true != (in @ (kpair @ sK830 @ sK833) @ (dpsetconstr @ sK829 @ sK832 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK831 @ Y0 @ Y1))))))) & ($true = (sK831 @ sK830 @ sK833)) & ($true = (in @ sK833 @ sK832))) & ($true = (in @ sK830 @ sK829)))) & (! [X5 : $i,X6 : $i,X7 : $i > $i > $o,X8 : $i] : (! [X9 : $i] : (($true = (in @ (kpair @ X6 @ X9) @ (dpsetconstr @ X5 @ X8 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X7 @ Y0 @ Y1))))))) | ($true != (X7 @ X6 @ X9)) | ($true != (in @ X9 @ X8))) | ($true != (in @ X6 @ X5))) | (dpsetconstrI != $true))), 21.30/3.81 inference(skolemisation,[status(esa),new_symbols(skolem,[sK829,sK830,sK831,sK832,sK833])],[f2760,f2762,f2761])). 21.30/3.81 thf(f2761,plain,( 21.30/3.81 ? [X0 : $i,X1 : $i,X2 : $i > $i > $o,X3 : $i] : (? [X4 : $i] : (($true != (in @ (kpair @ X1 @ X4) @ (dpsetconstr @ X0 @ X3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X2 @ Y0 @ Y1))))))) & ($true = (X2 @ X1 @ X4)) & ((in @ X4 @ X3) = $true)) & ($true = (in @ X1 @ X0))) => (? [X4 : $i] : (($true != (in @ (kpair @ sK830 @ X4) @ (dpsetconstr @ sK829 @ sK832 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK831 @ Y0 @ Y1))))))) & ($true = (sK831 @ sK830 @ X4)) & ($true = (in @ X4 @ sK832))) & ($true = (in @ sK830 @ sK829)))), 21.30/3.81 introduced(definition,[],[choice_axiom])). 21.30/3.81 thf(f2762,plain,( 21.30/3.81 ? [X4 : $i] : (($true != (in @ (kpair @ sK830 @ X4) @ (dpsetconstr @ sK829 @ sK832 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK831 @ Y0 @ Y1))))))) & ($true = (sK831 @ sK830 @ X4)) & ($true = (in @ X4 @ sK832))) => (($true != (in @ (kpair @ sK830 @ sK833) @ (dpsetconstr @ sK829 @ sK832 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK831 @ Y0 @ Y1))))))) & ($true = (sK831 @ sK830 @ sK833)) & ($true = (in @ sK833 @ sK832)))), 21.30/3.81 introduced(definition,[],[choice_axiom])). 21.30/3.81 thf(f2760,plain,( 21.30/3.81 ((dpsetconstrI = $true) | ? [X0 : $i,X1 : $i,X2 : $i > $i > $o,X3 : $i] : (? [X4 : $i] : (($true != (in @ (kpair @ X1 @ X4) @ (dpsetconstr @ X0 @ X3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X2 @ Y0 @ Y1))))))) & ($true = (X2 @ X1 @ X4)) & ((in @ X4 @ X3) = $true)) & ($true = (in @ X1 @ X0)))) & (! [X5 : $i,X6 : $i,X7 : $i > $i > $o,X8 : $i] : (! [X9 : $i] : (($true = (in @ (kpair @ X6 @ X9) @ (dpsetconstr @ X5 @ X8 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X7 @ Y0 @ Y1))))))) | ($true != (X7 @ X6 @ X9)) | ($true != (in @ X9 @ X8))) | ($true != (in @ X6 @ X5))) | (dpsetconstrI != $true))), 21.30/3.81 inference(rectify,[status(thm)],[f2759])). 21.30/3.81 thf(f2759,plain,( 21.30/3.81 ((dpsetconstrI = $true) | ? [X0 : $i,X1 : $i,X2 : $i > $i > $o,X3 : $i] : (? [X4 : $i] : (($true != (in @ (kpair @ X1 @ X4) @ (dpsetconstr @ X0 @ X3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X2 @ Y0 @ Y1))))))) & ($true = (X2 @ X1 @ X4)) & ((in @ X4 @ X3) = $true)) & ($true = (in @ X1 @ X0)))) & (! [X0 : $i,X1 : $i,X2 : $i > $i > $o,X3 : $i] : (! [X4 : $i] : (($true = (in @ (kpair @ X1 @ X4) @ (dpsetconstr @ X0 @ X3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X2 @ Y0 @ Y1))))))) | ($true != (X2 @ X1 @ X4)) | ((in @ X4 @ X3) != $true)) | ($true != (in @ X1 @ X0))) | (dpsetconstrI != $true))), 21.30/3.81 inference(nnf_transformation,[status(thm)],[f1292])). 21.30/3.81 thf(f1292,plain,( 21.30/3.81 (dpsetconstrI = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i > $i > $o,X3 : $i] : (! [X4 : $i] : (($true = (in @ (kpair @ X1 @ X4) @ (dpsetconstr @ X0 @ X3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X2 @ Y0 @ Y1))))))) | ($true != (X2 @ X1 @ X4)) | ((in @ X4 @ X3) != $true)) | ($true != (in @ X1 @ X0)))), 21.30/3.81 inference(flattening,[status(thm)],[f1291])). 21.30/3.81 thf(f1291,plain,( 21.30/3.81 ! [X0 : $i,X1 : $i,X2 : $i > $i > $o,X3 : $i] : (! [X4 : $i] : ((($true = (in @ (kpair @ X1 @ X4) @ (dpsetconstr @ X0 @ X3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X2 @ Y0 @ Y1))))))) | ($true != (X2 @ X1 @ X4))) | ((in @ X4 @ X3) != $true)) | ($true != (in @ X1 @ X0))) <=> (dpsetconstrI = $true)), 21.30/3.81 inference(ennf_transformation,[status(thm)],[f436])). 21.30/3.81 thf(f436,plain,( 21.30/3.81 ! [X0 : $i,X1 : $i,X2 : $i > $i > $o,X3 : $i] : (($true = (in @ X1 @ X0)) => ! [X4 : $i] : (((in @ X4 @ X3) = $true) => (($true = (X2 @ X1 @ X4)) => ($true = (in @ (kpair @ X1 @ X4) @ (dpsetconstr @ X0 @ X3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X2 @ Y0 @ Y1)))))))))) <=> (dpsetconstrI = $true)), 21.30/3.81 inference(fool_elimination,[status(thm)],[f435])). 21.30/3.81 thf(f435,plain,( 21.30/3.81 (! [X0 : $i,X1 : $i,X2 : $i > $i > $o,X3 : $i] : ((in @ X1 @ X0) => ! [X4 : $i] : ((in @ X4 @ X3) => ((X2 @ X1 @ X4) => (in @ (kpair @ X1 @ X4) @ (dpsetconstr @ X0 @ X3 @ (^[X5 : $i, X6 : $i] : (X2 @ X5 @ X6))))))) = dpsetconstrI)), 21.30/3.81 inference(rectify,[status(thm)],[f185])). 21.30/3.81 thf(f185,axiom,( 21.30/3.81 (! [X3 : $i,X1 : $i,X0 : $i > $i > $o,X4 : $i] : ((in @ X1 @ X3) => ! [X2 : $i] : ((in @ X2 @ X4) => ((X0 @ X1 @ X2) => (in @ (kpair @ X1 @ X2) @ (dpsetconstr @ X3 @ X4 @ (^[X8 : $i, X10 : $i] : (X0 @ X8 @ X10))))))) = dpsetconstrI)), 21.30/3.81 file('/export/starexec/sandbox2/tmp/tmp.XfRWs9ScBT/E---3.1_3324989.p',dpsetconstrI)). 21.30/3.81 thf(f6105,plain,( 21.30/3.81 ($true != (in @ (kpair @ sK576 @ sK575) @ (dpsetconstr @ sK573 @ sK573 @ (^[Y0 : $i]: ((^[Y1 : $i]: (in @ (kpair @ Y1 @ Y0) @ sK574)))))))), 21.30/3.81 inference(beta_eta_normalization,[status(thm)],[f5367])). 21.30/3.81 thf(f5367,plain,( 21.30/3.81 ($true != (in @ (kpair @ sK576 @ sK575) @ ((^[Y0 : $i]: ((^[Y1 : $i]: (dpsetconstr @ Y0 @ Y0 @ (^[Y2 : $i]: ((^[Y3 : $i]: (in @ (kpair @ Y3 @ Y2) @ Y1)))))))) @ sK573 @ sK574)))), 21.30/3.81 inference(definition_unfolding,[status(thm)],[f4007,f3813])). 21.30/3.81 thf(f3813,plain,( 21.30/3.81 (breln1invset = (^[Y0 : $i]: ((^[Y1 : $i]: (dpsetconstr @ Y0 @ Y0 @ (^[Y2 : $i]: ((^[Y3 : $i]: (in @ (kpair @ Y3 @ Y2) @ Y1)))))))))), 21.30/3.81 inference(cnf_transformation,[status(thm)],[f766])). 21.30/3.81 thf(f766,plain,( 21.30/3.81 (breln1invset = (^[Y0 : $i]: ((^[Y1 : $i]: (dpsetconstr @ Y0 @ Y0 @ (^[Y2 : $i]: ((^[Y3 : $i]: (in @ (kpair @ Y3 @ Y2) @ Y1)))))))))), 21.30/3.81 inference(fool_elimination,[status(thm)],[f765])). 21.30/3.81 thf(f765,plain,( 21.30/3.81 ((^[X0 : $i, X1 : $i] : (dpsetconstr @ X0 @ X0 @ (^[X2 : $i, X3 : $i] : (in @ (kpair @ X3 @ X2) @ X1)))) = breln1invset)), 21.30/3.81 inference(rectify,[status(thm)],[f296])). 21.30/3.81 thf(f296,axiom,( 21.30/3.81 ((^[X3 : $i, X13 : $i] : (dpsetconstr @ X3 @ X3 @ (^[X1 : $i, X2 : $i] : (in @ (kpair @ X2 @ X1) @ X13)))) = breln1invset)), 21.30/3.81 file('/export/starexec/sandbox2/tmp/tmp.XfRWs9ScBT/E---3.1_3324989.p',breln1invset)). 21.30/3.81 thf(f4007,plain,( 21.30/3.81 ($true != (in @ (kpair @ sK576 @ sK575) @ (breln1invset @ sK573 @ sK574)))), 21.30/3.81 inference(cnf_transformation,[status(thm)],[f2297])). 21.30/3.81 % SZS output end Proof for E---3.1_3324989 21.30/3.81 % (3325128)------------------------------ 21.30/3.81 % (3325128)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 21.30/3.81 % (3325128)Termination reason: Refutation 21.30/3.81 21.30/3.81 % (3325128)Memory used [KB]: 13432 21.30/3.81 % (3325128)Time elapsed: 0.885 s 21.30/3.81 % (3325128)Instructions burned: 1678 (million) 21.30/3.81 % (3325128)------------------------------ 21.30/3.81 % (3325128)------------------------------ 21.30/3.81 % (3325032)Success in time 3.219 s 21.30/3.81 EOF