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 0.15/0.40 % Computer : n023.cluster.edu 0.15/0.40 % Model : x86_64 x86_64 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.40 % Memory : 8046.5625MB 0.15/0.40 % OS : Linux 6.8.0-71-generic 0.15/0.40 % CPULimit : 1440 0.15/0.40 % WCLimit : 180 0.15/0.40 % DateTime : Mon Jul 27 14:23:21 UTC 2026 0.15/0.40 % CPUTime : 0.15/0.45 This is a THF_ problem 0.15/0.46 Running higher-order theorem proving 0.25/0.51 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.ywlx4FeoXF/E---3.1_1028836.p -m 16384 -t 180 0.25/0.54 % (1028899)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_1028836 for (1799ds/275Mi) 0.25/0.55 % (1028898)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_1028836 for (1799ds/2Mi) 0.25/0.55 % (1028900)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_1028836 for (1799ds/18Mi) 0.25/0.56 % (1028895)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_1028836 for (1799ds/4Mi) 0.25/0.56 % (1028898)Instruction limit reached! 0.25/0.56 % (1028898)------------------------------ 0.25/0.56 % (1028898)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.56 % (1028898)Termination reason: Unknown 0.25/0.56 % (1028898)Termination phase: shuffling 0.25/0.56 0.25/0.56 % (1028898)Memory used [KB]: 1151 0.25/0.56 % (1028898)Time elapsed: 0.005 s 0.25/0.56 % (1028898)Instructions burned: 2 (million) 0.25/0.56 % (1028898)------------------------------ 0.25/0.56 % (1028898)------------------------------ 0.25/0.56 % (1028897)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_1028836 for (1799ds/2Mi) 0.25/0.56 % (1028896)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_1028836 for (1799ds/27Mi) 0.25/0.56 % (1028894)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_1028836 for (1799ds/183Mi) 0.25/0.56 % (1028895)Instruction limit reached! 0.25/0.56 % (1028895)------------------------------ 0.25/0.56 % (1028895)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.56 % (1028897)Instruction limit reached! 0.25/0.56 % (1028897)------------------------------ 0.25/0.56 % (1028897)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.56 % (1028897)Termination reason: Unknown 0.25/0.56 % (1028895)Termination reason: Unknown 0.25/0.56 % (1028897)Termination phase: shuffling 0.25/0.56 % (1028895)Termination phase: shuffling 0.25/0.56 0.25/0.56 0.25/0.56 % (1028897)Memory used [KB]: 1151 0.25/0.56 % (1028895)Memory used [KB]: 1279 0.25/0.56 % (1028897)Time elapsed: 0.005 s 0.25/0.56 % (1028895)Time elapsed: 0.007 s 0.25/0.56 % (1028897)Instructions burned: 3 (million) 0.25/0.56 % (1028895)Instructions burned: 5 (million) 0.25/0.56 % (1028897)------------------------------ 0.25/0.56 % (1028897)------------------------------ 0.25/0.56 % (1028895)------------------------------ 0.25/0.56 % (1028895)------------------------------ 0.25/0.56 % (1028899)Refutation not found, incomplete strategy 0.25/0.56 % (1028899)------------------------------ 0.25/0.56 % (1028899)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.56 % (1028899)Termination reason: Refutation not found, incomplete strategy 0.25/0.56 0.25/0.56 0.25/0.56 % (1028899)Memory used [KB]: 6140 0.25/0.56 % (1028899)Time elapsed: 0.021 s 0.25/0.56 % (1028899)Instructions burned: 42 (million) 0.25/0.56 % (1028899)------------------------------ 0.25/0.56 % (1028899)------------------------------ 0.25/0.57 % (1028900)Instruction limit reached! 0.25/0.57 % (1028900)------------------------------ 0.25/0.57 % (1028900)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.57 % (1028900)Termination reason: Unknown 0.25/0.57 % (1028900)Termination phase: Property scanning 0.25/0.57 0.25/0.57 % (1028900)Memory used [KB]: 1535 0.25/0.57 % (1028900)Time elapsed: 0.018 s 0.25/0.57 % (1028900)Instructions burned: 18 (million) 0.25/0.57 % (1028900)------------------------------ 0.25/0.57 % (1028900)------------------------------ 0.25/0.58 % (1028906)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_1028836 for (1799ds/3Mi) 0.25/0.58 % (1028906)Instruction limit reached! 0.25/0.58 % (1028906)------------------------------ 0.25/0.58 % (1028906)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.58 % (1028906)Termination reason: Unknown 0.25/0.58 % (1028906)Termination phase: shuffling 0.25/0.58 0.25/0.58 % (1028906)Memory used [KB]: 1279 0.25/0.58 % (1028906)Time elapsed: 0.004 s 0.25/0.58 % (1028906)Instructions burned: 4 (million) 0.25/0.58 % (1028906)------------------------------ 0.25/0.58 % (1028906)------------------------------ 0.25/0.58 % (1028896)Instruction limit reached! 0.25/0.58 % (1028896)------------------------------ 0.25/0.58 % (1028896)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.58 % (1028896)Termination reason: Unknown 0.25/0.58 % (1028896)Termination phase: Property scanning 0.25/0.58 0.25/0.58 % (1028896)Memory used [KB]: 1535 0.25/0.58 % (1028896)Time elapsed: 0.027 s 0.25/0.58 % (1028896)Instructions burned: 27 (million) 0.25/0.58 % (1028896)------------------------------ 0.25/0.58 % (1028896)------------------------------ 0.25/0.59 % (1028903)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_1028836 for (1799ds/3Mi) 0.25/0.59 % (1028903)Instruction limit reached! 0.25/0.59 % (1028903)------------------------------ 0.25/0.59 % (1028903)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.59 % (1028903)Termination reason: Unknown 0.25/0.59 % (1028903)Termination phase: shuffling 0.25/0.59 0.25/0.59 % (1028903)Memory used [KB]: 1279 0.25/0.59 % (1028903)Time elapsed: 0.006 s 0.25/0.59 % (1028903)Instructions burned: 3 (million) 0.25/0.59 % (1028903)------------------------------ 0.25/0.59 % (1028903)------------------------------ 0.25/0.59 % (1028904)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_1028836 for (1799ds/37Mi) 0.25/0.59 % (1028905)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_1028836 for (1799ds/15Mi) 0.25/0.60 % (1028908)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_1028836 for (1799ds/7Mi) 0.25/0.60 % (1028908)Instruction limit reached! 0.25/0.60 % (1028908)------------------------------ 0.25/0.60 % (1028908)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.60 % (1028908)Termination reason: Unknown 0.25/0.60 % (1028908)Termination phase: shuffling 0.25/0.60 0.25/0.60 % (1028908)Memory used [KB]: 1279 0.25/0.60 % (1028908)Time elapsed: 0.006 s 0.25/0.60 % (1028908)Instructions burned: 8 (million) 0.25/0.60 % (1028908)------------------------------ 0.25/0.60 % (1028908)------------------------------ 0.25/0.60 % (1028907)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_1028836 for (1799ds/1041Mi) 0.25/0.60 % (1028905)Instruction limit reached! 0.25/0.60 % (1028905)------------------------------ 0.25/0.60 % (1028905)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.60 % (1028905)Termination reason: Unknown 0.25/0.60 % (1028905)Termination phase: shuffling 0.25/0.60 0.25/0.60 % (1028905)Memory used [KB]: 1407 0.25/0.60 % (1028905)Time elapsed: 0.016 s 0.25/0.60 % (1028905)Instructions burned: 15 (million) 0.25/0.60 % (1028905)------------------------------ 0.25/0.60 % (1028905)------------------------------ 0.25/0.61 % (1028909)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_1028836 for (1799ds/16Mi) 0.25/0.62 % (1028911)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_1028836 for (1799ds/3Mi) 0.25/0.62 % (1028911)Instruction limit reached! 0.25/0.62 % (1028911)------------------------------ 0.25/0.62 % (1028911)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.62 % (1028911)Termination reason: Unknown 0.25/0.62 % (1028911)Termination phase: shuffling 0.25/0.62 0.25/0.62 % (1028911)Memory used [KB]: 1279 0.25/0.62 % (1028911)Time elapsed: 0.004 s 0.25/0.62 % (1028911)Instructions burned: 3 (million) 0.25/0.62 % (1028911)------------------------------ 0.25/0.62 % (1028911)------------------------------ 0.25/0.62 % (1028910)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_1028836 for (1799ds/3Mi) 0.25/0.62 % (1028910)Instruction limit reached! 0.25/0.62 % (1028910)------------------------------ 0.25/0.62 % (1028910)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.62 % (1028910)Termination reason: Unknown 0.25/0.62 % (1028904)Instruction limit reached! 0.25/0.62 % (1028904)------------------------------ 0.25/0.62 % (1028904)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.62 % (1028910)Termination phase: shuffling 0.25/0.62 % (1028904)Termination reason: Unknown 0.25/0.62 0.25/0.62 % (1028904)Termination phase: Property scanning 0.25/0.62 % (1028910)Memory used [KB]: 1151 0.25/0.62 0.25/0.62 % (1028910)Time elapsed: 0.005 s 0.25/0.62 % (1028904)Memory used [KB]: 1535 0.25/0.62 % (1028910)Instructions burned: 3 (million) 0.25/0.62 % (1028904)Time elapsed: 0.035 s 0.25/0.62 % (1028910)------------------------------ 0.25/0.62 % (1028910)------------------------------ 0.25/0.62 % (1028904)Instructions burned: 37 (million) 0.25/0.62 % (1028904)------------------------------ 0.25/0.62 % (1028904)------------------------------ 0.25/0.63 % (1028909)Instruction limit reached! 0.25/0.63 % (1028909)------------------------------ 0.25/0.63 % (1028909)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.25/0.63 % (1028909)Termination reason: Unknown 0.25/0.63 % (1028909)Termination phase: shuffling 0.25/0.63 0.25/0.63 % (1028909)Memory used [KB]: 1407 0.25/0.63 % (1028909)Time elapsed: 0.017 s 0.25/0.63 % (1028909)Instructions burned: 16 (million) 0.25/0.63 % (1028909)------------------------------ 0.25/0.63 % (1028909)------------------------------ 0.88/0.65 % (1028915)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_1028836 for (1798ds/18Mi) 0.88/0.65 % (1028914)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_1028836 for (1798ds/4Mi) 0.88/0.65 % (1028912)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_1028836 for (1799ds/7Mi) 0.88/0.66 % (1028916)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_1028836 for (1798ds/710Mi) 0.88/0.66 % (1028914)Instruction limit reached! 0.88/0.66 % (1028914)------------------------------ 0.88/0.66 % (1028914)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.88/0.66 % (1028914)Termination reason: Unknown 0.88/0.66 % (1028914)Termination phase: shuffling 0.88/0.66 0.88/0.66 % (1028914)Memory used [KB]: 1279 0.88/0.66 % (1028914)Time elapsed: 0.007 s 0.88/0.66 % (1028914)Instructions burned: 5 (million) 0.88/0.66 % (1028914)------------------------------ 0.88/0.66 % (1028914)------------------------------ 0.88/0.66 % (1028912)Instruction limit reached! 0.88/0.66 % (1028912)------------------------------ 0.88/0.66 % (1028912)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.88/0.66 % (1028912)Termination reason: Unknown 0.88/0.66 % (1028912)Termination phase: shuffling 0.88/0.66 0.88/0.66 % (1028912)Memory used [KB]: 1279 0.88/0.66 % (1028912)Time elapsed: 0.007 s 0.88/0.66 % (1028912)Instructions burned: 8 (million) 0.88/0.66 % (1028912)------------------------------ 0.88/0.66 % (1028912)------------------------------ 0.88/0.66 % (1028913)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_1028836 for (1799ds/3Mi) 0.88/0.67 % (1028913)Instruction limit reached! 0.88/0.67 % (1028913)------------------------------ 0.88/0.67 % (1028913)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.88/0.67 % (1028913)Termination reason: Unknown 0.88/0.67 % (1028913)Termination phase: shuffling 0.88/0.67 0.88/0.67 % (1028913)Memory used [KB]: 1279 0.88/0.67 % (1028913)Time elapsed: 0.006 s 0.88/0.67 % (1028913)Instructions burned: 3 (million) 0.88/0.67 % (1028913)------------------------------ 0.88/0.67 % (1028913)------------------------------ 0.88/0.67 % (1028915)Instruction limit reached! 0.88/0.67 % (1028915)------------------------------ 0.88/0.67 % (1028915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.88/0.67 % (1028915)Termination reason: Unknown 0.88/0.67 % (1028915)Termination phase: Property scanning 0.88/0.67 0.88/0.67 % (1028915)Memory used [KB]: 1535 0.88/0.67 % (1028915)Time elapsed: 0.019 s 0.88/0.67 % (1028915)Instructions burned: 18 (million) 0.88/0.67 % (1028915)------------------------------ 0.88/0.67 % (1028915)------------------------------ 0.88/0.67 % (1028894)Instruction limit reached! 0.88/0.67 % (1028894)------------------------------ 0.88/0.67 % (1028894)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.88/0.67 % (1028894)Termination reason: Unknown 0.88/0.67 % (1028894)Termination phase: Saturation 0.88/0.67 0.88/0.67 % (1028894)Memory used [KB]: 6780 0.88/0.67 % (1028894)Time elapsed: 0.101 s 0.88/0.67 % (1028894)Instructions burned: 185 (million) 0.88/0.67 % (1028894)------------------------------ 0.88/0.67 % (1028894)------------------------------ 1.09/0.70 % (1028921)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_1028836 for (1798ds/21Mi) 1.09/0.72 % (1028921)Instruction limit reached! 1.09/0.72 % (1028921)------------------------------ 1.09/0.72 % (1028921)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.09/0.72 % (1028921)Termination reason: Unknown 1.09/0.72 % (1028921)Termination phase: Property scanning 1.09/0.72 1.09/0.72 % (1028921)Memory used [KB]: 1535 1.09/0.72 % (1028921)Time elapsed: 0.022 s 1.09/0.72 % (1028921)Instructions burned: 21 (million) 1.09/0.72 % (1028921)------------------------------ 1.09/0.72 % (1028921)------------------------------ 1.09/0.72 % (1028919)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_1028836 for (1798ds/6Mi) 1.09/0.73 % (1028920)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_1028836 for (1798ds/902Mi) 1.09/0.73 % (1028919)Instruction limit reached! 1.09/0.73 % (1028919)------------------------------ 1.09/0.73 % (1028919)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.09/0.73 % (1028919)Termination reason: Unknown 1.09/0.73 % (1028919)Termination phase: shuffling 1.09/0.73 1.09/0.73 % (1028919)Memory used [KB]: 1279 1.09/0.73 % (1028919)Time elapsed: 0.008 s 1.09/0.73 % (1028919)Instructions burned: 6 (million) 1.09/0.73 % (1028919)------------------------------ 1.09/0.73 % (1028919)------------------------------ 1.09/0.74 % (1028922)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_1028836 for (1798ds/5Mi) 1.09/0.74 % (1028923)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_1028836 for (1798ds/6Mi) 1.09/0.75 % (1028924)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_1028836 for (1798ds/377Mi) 1.09/0.75 % (1028922)Instruction limit reached! 1.09/0.75 % (1028922)------------------------------ 1.09/0.75 % (1028922)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.09/0.75 % (1028922)Termination reason: Unknown 1.09/0.75 % (1028922)Termination phase: shuffling 1.09/0.75 1.09/0.75 % (1028922)Memory used [KB]: 1279 1.09/0.75 % (1028922)Time elapsed: 0.006 s 1.09/0.75 % (1028922)Instructions burned: 5 (million) 1.09/0.75 % (1028922)------------------------------ 1.09/0.75 % (1028922)------------------------------ 1.09/0.76 % (1028923)Instruction limit reached! 1.09/0.76 % (1028923)------------------------------ 1.09/0.76 % (1028923)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.09/0.76 % (1028923)Termination reason: Unknown 1.09/0.76 % (1028923)Termination phase: shuffling 1.09/0.76 1.09/0.76 % (1028923)Memory used [KB]: 1279 1.09/0.76 % (1028923)Time elapsed: 0.008 s 1.09/0.76 % (1028923)Instructions burned: 6 (million) 1.09/0.76 % (1028923)------------------------------ 1.09/0.76 % (1028923)------------------------------ 1.09/0.76 % (1028925)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_1028836 for (1797ds/779Mi) 1.09/0.79 % (1028926)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_1028836 for (1797ds/19Mi) 1.09/0.79 % (1028928)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_1028836 for (1797ds/879Mi) 1.09/0.80 % (1028920)Refutation not found, incomplete strategy 1.09/0.80 % (1028920)------------------------------ 1.09/0.80 % (1028920)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.09/0.80 % (1028920)Termination reason: Refutation not found, incomplete strategy 1.09/0.80 1.09/0.80 1.09/0.80 % (1028920)Memory used [KB]: 6140 1.09/0.80 % (1028920)Time elapsed: 0.124 s 1.09/0.80 % (1028920)Instructions burned: 61 (million) 1.09/0.80 % (1028920)------------------------------ 1.09/0.80 % (1028920)------------------------------ 1.21/0.80 % (1028926)Instruction limit reached! 1.21/0.80 % (1028926)------------------------------ 1.21/0.80 % (1028926)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.21/0.80 % (1028926)Termination reason: Unknown 1.21/0.80 % (1028926)Termination phase: Property scanning 1.21/0.80 1.21/0.80 % (1028926)Memory used [KB]: 1535 1.21/0.80 % (1028926)Time elapsed: 0.021 s 1.21/0.80 % (1028926)Instructions burned: 19 (million) 1.21/0.80 % (1028926)------------------------------ 1.21/0.80 % (1028926)------------------------------ 1.21/0.82 % (1028931)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_1028836 for (1797ds/3Mi) 1.21/0.82 % (1028931)Instruction limit reached! 1.21/0.82 % (1028931)------------------------------ 1.21/0.82 % (1028931)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.21/0.82 % (1028931)Termination reason: Unknown 1.21/0.82 % (1028931)Termination phase: shuffling 1.21/0.82 1.21/0.82 % (1028931)Memory used [KB]: 1279 1.21/0.82 % (1028931)Time elapsed: 0.004 s 1.21/0.82 % (1028931)Instructions burned: 3 (million) 1.21/0.82 % (1028931)------------------------------ 1.21/0.82 % (1028931)------------------------------ 1.21/0.83 % (1028930)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_1028836 for (1797ds/17Mi) 1.21/0.84 % (1028930)Instruction limit reached! 1.21/0.84 % (1028930)------------------------------ 1.21/0.84 % (1028930)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.21/0.84 % (1028930)Termination reason: Unknown 1.21/0.84 % (1028930)Termination phase: shuffling 1.21/0.84 1.21/0.84 % (1028930)Memory used [KB]: 1535 1.21/0.84 % (1028930)Time elapsed: 0.019 s 1.21/0.84 % (1028930)Instructions burned: 17 (million) 1.21/0.84 % (1028930)------------------------------ 1.21/0.84 % (1028930)------------------------------ 1.21/0.86 % (1028932)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_1028836 for (1797ds/30Mi) 1.21/0.88 % (1028933)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_1028836 for (1796ds/127Mi) 1.21/0.88 % (1028932)Instruction limit reached! 1.21/0.88 % (1028932)------------------------------ 1.21/0.88 % (1028932)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.21/0.88 % (1028932)Termination reason: Unknown 1.21/0.88 % (1028932)Termination phase: Property scanning 1.21/0.88 1.21/0.88 % (1028932)Memory used [KB]: 1535 1.21/0.88 % (1028932)Time elapsed: 0.030 s 1.21/0.88 % (1028932)Instructions burned: 30 (million) 1.21/0.88 % (1028932)------------------------------ 1.21/0.88 % (1028932)------------------------------ 1.45/0.92 % (1028936)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_1028836 for (1796ds/100Mi) 1.45/0.98 % (1028933)Instruction limit reached! 1.45/0.98 % (1028933)------------------------------ 1.45/0.98 % (1028933)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.45/0.98 % (1028933)Termination reason: Unknown 1.45/0.98 % (1028933)Termination phase: Saturation 1.45/0.98 1.45/0.98 % (1028933)Memory used [KB]: 6396 1.45/0.98 % (1028933)Time elapsed: 0.102 s 1.45/0.98 % (1028933)Instructions burned: 127 (million) 1.45/0.98 % (1028933)------------------------------ 1.45/0.98 % (1028933)------------------------------ 1.45/0.99 % (1028936)Instruction limit reached! 1.45/0.99 % (1028936)------------------------------ 1.45/0.99 % (1028936)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.45/0.99 % (1028936)Termination reason: Unknown 1.45/0.99 % (1028936)Termination phase: Saturation 1.45/0.99 1.45/0.99 % (1028936)Memory used [KB]: 6268 1.45/0.99 % (1028936)Time elapsed: 0.082 s 1.45/0.99 % (1028936)Instructions burned: 101 (million) 1.45/0.99 % (1028936)------------------------------ 1.45/0.99 % (1028936)------------------------------ 1.45/1.01 % (1028937)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_1028836 for (1795ds/3Mi) 1.45/1.01 % (1028937)Instruction limit reached! 1.45/1.01 % (1028937)------------------------------ 1.45/1.01 % (1028937)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.45/1.01 % (1028937)Termination reason: Unknown 1.45/1.01 % (1028937)Termination phase: shuffling 1.45/1.01 1.45/1.01 % (1028937)Memory used [KB]: 1279 1.45/1.01 % (1028937)Time elapsed: 0.006 s 1.45/1.01 % (1028937)Instructions burned: 3 (million) 1.45/1.01 % (1028937)------------------------------ 1.45/1.01 % (1028937)------------------------------ 1.45/1.02 % (1028924)Instruction limit reached! 1.45/1.02 % (1028924)------------------------------ 1.45/1.02 % (1028924)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.45/1.02 % (1028924)Termination reason: Unknown 1.45/1.02 % (1028924)Termination phase: Saturation 1.45/1.02 1.45/1.02 % (1028924)Memory used [KB]: 6780 1.45/1.02 % (1028924)Time elapsed: 0.270 s 1.45/1.02 % (1028924)Instructions burned: 377 (million) 1.45/1.02 % (1028924)------------------------------ 1.45/1.02 % (1028924)------------------------------ 1.45/1.05 % (1028940)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_1028836 for (1795ds/20Mi) 1.45/1.05 % (1028941)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_1028836 for (1795ds/86Mi) 3.48/1.06 % (1028940)Instruction limit reached! 3.48/1.06 % (1028940)------------------------------ 3.48/1.06 % (1028940)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.48/1.06 % (1028940)Termination reason: Unknown 3.48/1.06 % (1028940)Termination phase: Property scanning 3.48/1.06 3.48/1.06 % (1028940)Memory used [KB]: 1535 3.48/1.06 % (1028940)Time elapsed: 0.012 s 3.48/1.06 % (1028940)Instructions burned: 21 (million) 3.48/1.06 % (1028940)------------------------------ 3.48/1.06 % (1028940)------------------------------ 3.48/1.06 % (1028942)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_1028836 for (1795ds/107Mi) 3.48/1.09 % (1028943)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_1028836 for (1794ds/39Mi) 3.48/1.10 % (1028941)Instruction limit reached! 3.48/1.10 % (1028941)------------------------------ 3.48/1.10 % (1028941)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.48/1.10 % (1028941)Termination reason: Unknown 3.48/1.10 % (1028941)Termination phase: Property scanning 3.48/1.10 3.48/1.10 % (1028941)Memory used [KB]: 1791 3.48/1.10 % (1028941)Time elapsed: 0.047 s 3.48/1.10 % (1028941)Instructions burned: 87 (million) 3.48/1.10 % (1028941)------------------------------ 3.48/1.10 % (1028941)------------------------------ 3.48/1.12 % (1028945)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_1028836 for (1794ds/448Mi) 3.48/1.12 % (1028943)Instruction limit reached! 3.48/1.12 % (1028943)------------------------------ 3.48/1.12 % (1028943)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.48/1.12 % (1028943)Termination reason: Unknown 3.48/1.12 % (1028943)Termination phase: Function definition elimination 3.48/1.12 3.48/1.12 % (1028943)Memory used [KB]: 1535 3.48/1.12 % (1028943)Time elapsed: 0.037 s 3.48/1.12 % (1028943)Instructions burned: 39 (million) 3.48/1.12 % (1028943)------------------------------ 3.48/1.12 % (1028943)------------------------------ 3.48/1.15 % (1028942)Instruction limit reached! 3.48/1.15 % (1028942)------------------------------ 3.48/1.15 % (1028942)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.48/1.15 % (1028942)Termination reason: Unknown 3.48/1.15 % (1028942)Termination phase: Saturation 3.48/1.15 3.48/1.15 % (1028942)Memory used [KB]: 6268 3.48/1.15 % (1028942)Time elapsed: 0.087 s 3.48/1.15 % (1028942)Instructions burned: 107 (million) 3.48/1.15 % (1028942)------------------------------ 3.48/1.15 % (1028942)------------------------------ 4.17/1.16 % (1028947)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_1028836 for (1794ds/46Mi) 4.17/1.18 % (1028948)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_1028836 for (1793ds/98Mi) 4.33/1.20 % (1028947)Instruction limit reached! 4.33/1.20 % (1028947)------------------------------ 4.33/1.20 % (1028947)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.33/1.20 % (1028947)Termination reason: Unknown 4.33/1.20 % (1028947)Termination phase: Twee Goal Transformation 4.33/1.20 4.33/1.20 % (1028947)Memory used [KB]: 1535 4.33/1.20 % (1028947)Time elapsed: 0.032 s 4.33/1.20 % (1028947)Instructions burned: 46 (million) 4.33/1.20 % (1028947)------------------------------ 4.33/1.20 % (1028947)------------------------------ 4.33/1.23 % (1028949)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_1028836 for (1793ds/507Mi) 4.33/1.24 % (1028916)Refutation not found, non-redundant clauses discarded% (1028916)------------------------------ 4.33/1.24 % (1028916)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.33/1.24 % (1028916)Termination reason: Refutation not found, non-redundant clauses discarded 4.33/1.24 4.33/1.24 % (1028916)Memory used [KB]: 7675 4.33/1.24 % (1028916)Time elapsed: 0.591 s 4.33/1.24 % (1028916)Instructions burned: 651 (million) 4.33/1.24 % (1028916)------------------------------ 4.33/1.24 % (1028916)------------------------------ 4.33/1.26 % (1028948)Instruction limit reached! 4.33/1.26 % (1028948)------------------------------ 4.33/1.26 % (1028948)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.33/1.26 % (1028948)Termination reason: Unknown 4.33/1.26 % (1028948)Termination phase: Saturation 4.33/1.26 4.33/1.26 % (1028948)Memory used [KB]: 1791 4.33/1.26 % (1028948)Time elapsed: 0.080 s 4.33/1.26 % (1028948)Instructions burned: 98 (million) 4.33/1.26 % (1028948)------------------------------ 4.33/1.26 % (1028948)------------------------------ 4.33/1.27 % (1028952)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_1028836 for (1792ds/149Mi) 4.33/1.29 % (1028953)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on E---3.1_1028836 for (1792ds/39Mi) 4.85/1.32 % (1028953)Instruction limit reached! 4.85/1.32 % (1028953)------------------------------ 4.85/1.32 % (1028953)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.85/1.32 % (1028953)Termination reason: Unknown 4.85/1.32 % (1028953)Termination phase: Function definition elimination 4.85/1.32 4.85/1.32 % (1028953)Memory used [KB]: 1535 4.85/1.32 % (1028953)Time elapsed: 0.037 s 4.85/1.32 % (1028953)Instructions burned: 39 (million) 4.85/1.32 % (1028953)------------------------------ 4.85/1.32 % (1028953)------------------------------ 4.85/1.34 % (1028945)Instruction limit reached! 4.85/1.34 % (1028945)------------------------------ 4.85/1.34 % (1028945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.85/1.34 % (1028945)Termination reason: Unknown 4.85/1.34 % (1028945)Termination phase: Saturation 4.85/1.34 4.85/1.34 % (1028945)Memory used [KB]: 6908 4.85/1.34 % (1028945)Time elapsed: 0.228 s 4.85/1.34 % (1028945)Instructions burned: 448 (million) 4.85/1.34 % (1028945)------------------------------ 4.85/1.34 % (1028945)------------------------------ 4.85/1.35 % (1028959)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_1028836 for (1791ds/1087Mi) 4.85/1.37 % (1028958)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_1028836 for (1792ds/6Mi) 4.85/1.37 % (1028958)Instruction limit reached! 4.85/1.37 % (1028958)------------------------------ 4.85/1.37 % (1028958)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.85/1.37 % (1028958)Termination reason: Unknown 4.85/1.37 % (1028958)Termination phase: shuffling 4.85/1.37 4.85/1.37 % (1028958)Memory used [KB]: 1279 4.85/1.37 % (1028958)Time elapsed: 0.007 s 4.85/1.37 % (1028958)Instructions burned: 7 (million) 4.85/1.37 % (1028958)------------------------------ 4.85/1.37 % (1028958)------------------------------ 4.85/1.39 % (1028907)Instruction limit reached! 4.85/1.39 % (1028907)------------------------------ 4.85/1.39 % (1028907)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.85/1.39 % (1028907)Termination reason: Unknown 4.85/1.39 % (1028907)Termination phase: Saturation 4.85/1.39 4.85/1.39 % (1028907)Memory used [KB]: 7803 4.85/1.39 % (1028907)Time elapsed: 0.796 s 4.85/1.39 % (1028907)Instructions burned: 1042 (million) 4.85/1.39 % (1028907)------------------------------ 4.85/1.39 % (1028907)------------------------------ 4.85/1.39 % (1028925)Instruction limit reached! 4.85/1.39 % (1028925)------------------------------ 4.85/1.39 % (1028925)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.85/1.39 % (1028925)Termination reason: Unknown 4.85/1.39 % (1028925)Termination phase: Saturation 4.85/1.39 4.85/1.39 % (1028925)Memory used [KB]: 6908 4.85/1.39 % (1028925)Time elapsed: 0.630 s 4.85/1.39 % (1028925)Instructions burned: 780 (million) 4.85/1.39 % (1028925)------------------------------ 4.85/1.39 % (1028925)------------------------------ 4.85/1.40 % (1028960)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on E---3.1_1028836 for (1791ds/47Mi) 4.85/1.40 % (1028952)Instruction limit reached! 4.85/1.40 % (1028952)------------------------------ 4.85/1.40 % (1028952)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.85/1.40 % (1028952)Termination reason: Unknown 4.85/1.40 % (1028952)Termination phase: Saturation 4.85/1.40 4.85/1.40 % (1028952)Memory used [KB]: 6652 4.85/1.40 % (1028952)Time elapsed: 0.135 s 4.85/1.40 % (1028952)Instructions burned: 149 (million) 4.85/1.40 % (1028952)------------------------------ 4.85/1.40 % (1028952)------------------------------ 5.46/1.42 % (1028963)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_1028836 for (1791ds/432Mi) 5.46/1.42 % (1028961)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_1028836 for (1791ds/44Mi) 5.46/1.43 % (1028965)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_1028836 for (1791ds/62Mi) 5.46/1.44 % (1028960)Instruction limit reached! 5.46/1.44 % (1028960)------------------------------ 5.46/1.44 % (1028960)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.46/1.44 % (1028960)Termination reason: Unknown 5.46/1.44 % (1028960)Termination phase: Function definition elimination 5.46/1.44 5.46/1.44 % (1028960)Memory used [KB]: 1663 5.46/1.44 % (1028960)Time elapsed: 0.044 s 5.46/1.44 % (1028960)Instructions burned: 48 (million) 5.46/1.44 % (1028960)------------------------------ 5.46/1.44 % (1028960)------------------------------ 5.46/1.46 % (1028961)Instruction limit reached! 5.46/1.46 % (1028961)------------------------------ 5.46/1.46 % (1028961)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.46/1.46 % (1028961)Termination reason: Unknown 5.46/1.46 % (1028961)Termination phase: Property scanning 5.46/1.46 5.46/1.46 % (1028961)Memory used [KB]: 1535 5.46/1.46 % (1028961)Time elapsed: 0.040 s 5.46/1.46 % (1028961)Instructions burned: 44 (million) 5.46/1.46 % (1028961)------------------------------ 5.46/1.46 % (1028961)------------------------------ 5.46/1.47 % (1028968)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_1028836 for (1790ds/31Mi) 5.46/1.48 % (1028965)Instruction limit reached! 5.46/1.48 % (1028965)------------------------------ 5.46/1.48 % (1028965)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.46/1.48 % (1028965)Termination reason: Unknown 5.46/1.48 % (1028965)Termination phase: Function definition elimination 5.46/1.48 5.46/1.48 % (1028965)Memory used [KB]: 1663 5.46/1.48 % (1028965)Time elapsed: 0.051 s 5.46/1.48 % (1028965)Instructions burned: 62 (million) 5.46/1.48 % (1028965)------------------------------ 5.46/1.48 % (1028965)------------------------------ 5.46/1.49 % (1028969)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on E---3.1_1028836 for (1790ds/96Mi) 5.89/1.50 % (1028928)Instruction limit reached! 5.89/1.50 % (1028928)------------------------------ 5.89/1.50 % (1028928)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.89/1.50 % (1028928)Termination reason: Unknown 5.89/1.50 % (1028928)Termination phase: Saturation 5.89/1.50 5.89/1.50 % (1028928)Memory used [KB]: 7419 5.89/1.50 % (1028928)Time elapsed: 0.716 s 5.89/1.50 % (1028928)Instructions burned: 879 (million) 5.89/1.50 % (1028928)------------------------------ 5.89/1.50 % (1028928)------------------------------ 5.89/1.50 % (1028968)Instruction limit reached! 5.89/1.50 % (1028968)------------------------------ 5.89/1.50 % (1028968)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.89/1.50 % (1028968)Termination reason: Unknown 5.89/1.50 % (1028968)Termination phase: Property scanning 5.89/1.50 5.89/1.50 % (1028968)Memory used [KB]: 1535 5.89/1.50 % (1028968)Time elapsed: 0.031 s 5.89/1.50 % (1028968)Instructions burned: 31 (million) 5.89/1.50 % (1028968)------------------------------ 5.89/1.50 % (1028968)------------------------------ 5.89/1.50 % (1028970)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_1028836 for (1790ds/453Mi) 5.89/1.53 % (1028971)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_1028836 for (1790ds/71Mi) 5.89/1.53 % (1028972)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_1028836 for (1790ds/83Mi) 5.89/1.56 % (1028969)Instruction limit reached! 5.89/1.56 % (1028969)------------------------------ 5.89/1.56 % (1028969)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.89/1.56 % (1028969)Termination reason: Unknown 5.89/1.56 % (1028969)Termination phase: Saturation 5.89/1.56 5.89/1.56 % (1028969)Memory used [KB]: 6268 5.89/1.57 % (1028969)Time elapsed: 0.079 s 5.89/1.57 % (1028969)Instructions burned: 97 (million) 5.89/1.57 % (1028969)------------------------------ 5.89/1.57 % (1028969)------------------------------ 5.89/1.59 % (1028975)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_1028836 for (1789ds/11Mi) 5.89/1.59 % (1028971)Instruction limit reached! 5.89/1.59 % (1028971)------------------------------ 5.89/1.59 % (1028971)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.89/1.59 % (1028971)Termination reason: Unknown 5.89/1.59 % (1028971)Termination phase: Property scanning 5.89/1.59 5.89/1.59 % (1028971)Memory used [KB]: 1791 5.89/1.59 % (1028971)Time elapsed: 0.059 s 5.89/1.59 % (1028971)Instructions burned: 71 (million) 5.89/1.59 % (1028971)------------------------------ 5.89/1.59 % (1028971)------------------------------ 5.89/1.60 % (1028975)Instruction limit reached! 5.89/1.60 % (1028975)------------------------------ 5.89/1.60 % (1028975)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.89/1.60 % (1028975)Termination reason: Unknown 5.89/1.60 % (1028975)Termination phase: shuffling 5.89/1.60 5.89/1.60 % (1028975)Memory used [KB]: 1407 5.89/1.60 % (1028975)Time elapsed: 0.006 s 5.89/1.60 % (1028975)Instructions burned: 13 (million) 5.89/1.60 % (1028975)------------------------------ 5.89/1.60 % (1028975)------------------------------ 6.17/1.60 % (1028972)Instruction limit reached! 6.17/1.60 % (1028972)------------------------------ 6.17/1.60 % (1028972)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.17/1.60 % (1028972)Termination reason: Unknown 6.17/1.60 % (1028972)Termination phase: Saturation 6.17/1.60 6.17/1.60 % (1028972)Memory used [KB]: 6268 6.17/1.60 % (1028972)Time elapsed: 0.072 s 6.17/1.60 % (1028972)Instructions burned: 83 (million) 6.17/1.60 % (1028972)------------------------------ 6.17/1.60 % (1028972)------------------------------ 6.17/1.60 % (1028949)Instruction limit reached! 6.17/1.60 % (1028949)------------------------------ 6.17/1.60 % (1028949)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.17/1.60 % (1028949)Termination reason: Unknown 6.17/1.60 % (1028949)Termination phase: Saturation 6.17/1.60 6.17/1.61 % (1028949)Memory used [KB]: 6908 6.17/1.61 % (1028949)Time elapsed: 0.386 s 6.17/1.61 % (1028949)Instructions burned: 507 (million) 6.17/1.61 % (1028949)------------------------------ 6.17/1.61 % (1028949)------------------------------ 6.17/1.62 % (1028976)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_1028836 for (1789ds/41Mi) 6.17/1.63 % (1028977)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_1028836 for (1789ds/6Mi) 6.17/1.63 % (1028970)Instruction limit reached! 6.17/1.63 % (1028970)------------------------------ 6.17/1.63 % (1028970)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.17/1.63 % (1028970)Termination reason: Unknown 6.17/1.63 % (1028970)Termination phase: Saturation 6.17/1.63 6.17/1.63 % (1028970)Memory used [KB]: 6780 6.17/1.63 % (1028970)Time elapsed: 0.140 s 6.17/1.63 % (1028970)Instructions burned: 455 (million) 6.17/1.63 % (1028970)------------------------------ 6.17/1.63 % (1028970)------------------------------ 6.17/1.63 % (1028978)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on E---3.1_1028836 for (1789ds/150Mi) 6.17/1.63 % (1028977)Instruction limit reached! 6.17/1.63 % (1028977)------------------------------ 6.17/1.63 % (1028977)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.17/1.63 % (1028977)Termination reason: Unknown 6.17/1.63 % (1028977)Termination phase: shuffling 6.17/1.63 6.17/1.63 % (1028977)Memory used [KB]: 1279 6.17/1.63 % (1028977)Time elapsed: 0.008 s 6.17/1.63 % (1028977)Instructions burned: 6 (million) 6.17/1.63 % (1028977)------------------------------ 6.17/1.63 % (1028977)------------------------------ 6.17/1.64 % (1028979)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_1028836 for (1789ds/343Mi) 6.17/1.64 % (1028980)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_1028836 for (1788ds/109Mi) 6.17/1.65 % (1028976)Instruction limit reached! 6.17/1.65 % (1028976)------------------------------ 6.17/1.65 % (1028976)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.17/1.65 % (1028976)Termination reason: Unknown 6.17/1.65 % (1028976)Termination phase: Function definition elimination 6.17/1.65 6.17/1.65 % (1028976)Memory used [KB]: 1535 6.17/1.65 % (1028976)Time elapsed: 0.038 s 6.17/1.65 % (1028976)Instructions burned: 41 (million) 6.17/1.65 % (1028976)------------------------------ 6.17/1.65 % (1028976)------------------------------ 6.17/1.66 % (1028981)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_1028836 for (1788ds/253Mi) 6.17/1.69 % (1028983)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_1028836 for (1788ds/140Mi) 6.17/1.69 % (1028980)Instruction limit reached! 6.17/1.69 % (1028980)------------------------------ 6.17/1.69 % (1028980)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.17/1.69 % (1028980)Termination reason: Unknown 6.17/1.69 % (1028980)Termination phase: Saturation 6.17/1.69 6.17/1.69 % (1028980)Memory used [KB]: 6396 6.17/1.69 % (1028980)Time elapsed: 0.047 s 6.17/1.69 % (1028980)Instructions burned: 111 (million) 6.17/1.69 % (1028980)------------------------------ 6.17/1.69 % (1028980)------------------------------ 6.95/1.72 % (1028985)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_1028836 for (1788ds/614Mi) 6.95/1.73 % (1028963)Instruction limit reached! 6.95/1.73 % (1028963)------------------------------ 6.95/1.73 % (1028963)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.95/1.73 % (1028963)Termination reason: Unknown 6.95/1.73 % (1028963)Termination phase: Saturation 6.95/1.73 6.95/1.73 % (1028963)Memory used [KB]: 3326 6.95/1.73 % (1028963)Time elapsed: 0.325 s 6.95/1.73 % (1028963)Instructions burned: 432 (million) 6.95/1.73 % (1028963)------------------------------ 6.95/1.73 % (1028963)------------------------------ 6.95/1.75 % (1028978)Instruction limit reached! 6.95/1.75 % (1028978)------------------------------ 6.95/1.75 % (1028978)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.95/1.75 % (1028978)Termination reason: Unknown 6.95/1.75 % (1028978)Termination phase: Saturation 6.95/1.75 6.95/1.75 % (1028978)Memory used [KB]: 6396 6.95/1.75 % (1028978)Time elapsed: 0.117 s 6.95/1.75 % (1028978)Instructions burned: 150 (million) 6.95/1.75 % (1028978)------------------------------ 6.95/1.75 % (1028978)------------------------------ 6.95/1.76 % (1028986)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_1028836 for (1787ds/202Mi) 6.95/1.77 % (1028983)Refutation not found, incomplete strategy 6.95/1.77 % (1028983)------------------------------ 6.95/1.77 % (1028983)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.95/1.77 % (1028983)Termination reason: Refutation not found, incomplete strategy 6.95/1.77 6.95/1.77 6.95/1.77 % (1028983)Memory used [KB]: 6524 6.95/1.77 % (1028983)Time elapsed: 0.084 s 6.95/1.77 % (1028983)Instructions burned: 87 (million) 6.95/1.77 % (1028983)------------------------------ 6.95/1.77 % (1028983)------------------------------ 6.95/1.78 % (1028986)Refutation not found, incomplete strategy 6.95/1.78 % (1028986)------------------------------ 6.95/1.78 % (1028986)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.95/1.78 % (1028986)Termination reason: Refutation not found, incomplete strategy 6.95/1.78 6.95/1.78 6.95/1.78 % (1028986)Memory used [KB]: 6140 6.95/1.78 % (1028986)Time elapsed: 0.021 s 6.95/1.78 % (1028986)Instructions burned: 40 (million) 6.95/1.78 % (1028986)------------------------------ 6.95/1.78 % (1028986)------------------------------ 6.95/1.78 % (1028987)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_1028836 for (1787ds/339Mi) 7.56/1.80 % (1028989)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_1028836 for (1787ds/283Mi) 7.56/1.81 % (1028991)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_1028836 for (1787ds/134Mi) 7.56/1.87 % (1028981)Instruction limit reached! 7.56/1.87 % (1028981)------------------------------ 7.56/1.87 % (1028981)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.56/1.87 % (1028981)Termination reason: Unknown 7.56/1.87 % (1028981)Termination phase: Saturation 7.56/1.87 7.56/1.87 % (1028981)Memory used [KB]: 6524 7.56/1.87 % (1028981)Time elapsed: 0.207 s 7.56/1.87 % (1028981)Instructions burned: 253 (million) 7.56/1.87 % (1028981)------------------------------ 7.56/1.87 % (1028981)------------------------------ 7.80/1.91 % (1028994)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on E---3.1_1028836 for (1786ds/298Mi) 7.80/1.92 % (1028979)Instruction limit reached! 7.80/1.92 % (1028979)------------------------------ 7.80/1.92 % (1028979)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.80/1.92 % (1028979)Termination reason: Unknown 7.80/1.92 % (1028979)Termination phase: Saturation 7.80/1.92 7.80/1.92 % (1028979)Memory used [KB]: 6652 7.80/1.92 % (1028979)Time elapsed: 0.282 s 7.80/1.92 % (1028979)Instructions burned: 343 (million) 7.80/1.92 % (1028979)------------------------------ 7.80/1.92 % (1028979)------------------------------ 7.80/1.92 % (1028991)Instruction limit reached! 7.80/1.92 % (1028991)------------------------------ 7.80/1.92 % (1028991)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.80/1.92 % (1028991)Termination reason: Unknown 7.80/1.92 % (1028991)Termination phase: Saturation 7.80/1.92 7.80/1.92 % (1028991)Memory used [KB]: 6396 7.80/1.92 % (1028991)Time elapsed: 0.108 s 7.80/1.92 % (1028991)Instructions burned: 134 (million) 7.80/1.92 % (1028991)------------------------------ 7.80/1.92 % (1028991)------------------------------ 7.80/1.93 % (1028999)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on E---3.1_1028836 for (1785ds/192Mi) 7.80/1.96 % (1029000)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_1028836 for (1785ds/258Mi) 7.80/2.00 % (1028989)Instruction limit reached! 7.80/2.00 % (1028989)------------------------------ 7.80/2.00 % (1028989)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.80/2.00 % (1028989)Termination reason: Unknown 7.80/2.00 % (1028989)Termination phase: Saturation 7.80/2.00 7.80/2.00 % (1028989)Memory used [KB]: 6780 7.80/2.00 % (1028989)Time elapsed: 0.207 s 7.80/2.00 % (1028989)Instructions burned: 284 (million) 7.80/2.00 % (1028989)------------------------------ 7.80/2.00 % (1028989)------------------------------ 7.80/2.01 % (1028999)Instruction limit reached! 7.80/2.01 % (1028999)------------------------------ 7.80/2.01 % (1028999)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.80/2.01 % (1028999)Termination reason: Unknown 7.80/2.01 % (1028999)Termination phase: Saturation 7.80/2.01 7.80/2.01 % (1028999)Memory used [KB]: 6780 7.80/2.01 % (1028999)Time elapsed: 0.078 s 7.80/2.01 % (1028999)Instructions burned: 193 (million) 7.80/2.01 % (1028999)------------------------------ 7.80/2.01 % (1028999)------------------------------ 7.80/2.03 % (1029004)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_1028836 for (1785ds/231Mi) 7.80/2.04 % (1029003)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_1028836 for (1785ds/90Mi) 10.12/2.09 % (1028987)Instruction limit reached! 10.12/2.09 % (1028987)------------------------------ 10.12/2.09 % (1028987)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.12/2.09 % (1028987)Termination reason: Unknown 10.12/2.09 % (1028987)Termination phase: Saturation 10.12/2.09 10.12/2.09 % (1028987)Memory used [KB]: 7419 10.12/2.09 % (1028987)Time elapsed: 0.309 s 10.12/2.09 % (1028987)Instructions burned: 339 (million) 10.12/2.09 % (1028987)------------------------------ 10.12/2.09 % (1028987)------------------------------ 10.12/2.11 % (1029003)Instruction limit reached! 10.12/2.11 % (1029003)------------------------------ 10.12/2.11 % (1029003)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.12/2.11 % (1029003)Termination reason: Unknown 10.12/2.11 % (1029003)Termination phase: Saturation 10.12/2.11 10.12/2.11 % (1029003)Memory used [KB]: 6396 10.12/2.11 % (1029003)Time elapsed: 0.077 s 10.12/2.11 % (1029003)Instructions burned: 91 (million) 10.12/2.11 % (1029003)------------------------------ 10.12/2.11 % (1029003)------------------------------ 10.12/2.12 % (1028985)Instruction limit reached! 10.12/2.12 % (1028985)------------------------------ 10.12/2.12 % (1028985)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.12/2.12 % (1028985)Termination reason: Unknown 10.12/2.12 % (1028985)Termination phase: Saturation 10.12/2.12 10.12/2.12 % (1028985)Memory used [KB]: 6780 10.12/2.12 % (1028985)Time elapsed: 0.369 s 10.12/2.12 % (1028985)Instructions burned: 614 (million) 10.12/2.12 % (1028985)------------------------------ 10.12/2.12 % (1028985)------------------------------ 10.12/2.12 % (1029005)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_1028836 for (1784ds/458Mi) 10.12/2.12 % (1028994)Instruction limit reached! 10.12/2.12 % (1028994)------------------------------ 10.12/2.12 % (1028994)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.12/2.12 % (1028994)Termination reason: Unknown 10.12/2.12 % (1028994)Termination phase: Saturation 10.12/2.12 10.12/2.12 % (1028994)Memory used [KB]: 6780 10.12/2.12 % (1028994)Time elapsed: 0.218 s 10.12/2.12 % (1028994)Instructions burned: 298 (million) 10.12/2.12 % (1028994)------------------------------ 10.12/2.12 % (1028994)------------------------------ 10.12/2.14 % (1029004)Instruction limit reached! 10.12/2.14 % (1029004)------------------------------ 10.12/2.14 % (1029004)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.12/2.14 % (1029006)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_1028836 for (1784ds/31Mi) 10.12/2.14 % (1029004)Termination reason: Unknown 10.12/2.14 % (1029004)Termination phase: Saturation 10.12/2.14 10.12/2.14 % (1029004)Memory used [KB]: 6908 10.12/2.14 % (1029004)Time elapsed: 0.118 s 10.12/2.14 % (1029004)Instructions burned: 232 (million) 10.12/2.14 % (1029004)------------------------------ 10.12/2.14 % (1029004)------------------------------ 10.12/2.15 % (1029000)Instruction limit reached! 10.12/2.15 % (1029000)------------------------------ 10.12/2.15 % (1029000)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.12/2.15 % (1029000)Termination reason: Unknown 10.12/2.15 % (1029000)Termination phase: Saturation 10.12/2.15 10.12/2.15 % (1029000)Memory used [KB]: 6780 10.12/2.15 % (1029000)Time elapsed: 0.196 s 10.12/2.15 % (1029000)Instructions burned: 258 (million) 10.12/2.15 % (1029000)------------------------------ 10.12/2.15 % (1029000)------------------------------ 10.78/2.15 % (1029008)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_1028836 for (1784ds/297Mi) 10.78/2.16 % (1029010)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_1028836 for (1783ds/987Mi) 10.78/2.16 % (1029011)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_1028836 for (1783ds/182Mi) 10.78/2.17 % (1029006)Instruction limit reached! 10.78/2.17 % (1029006)------------------------------ 10.78/2.17 % (1029006)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.78/2.17 % (1029006)Termination reason: Unknown 10.78/2.17 % (1029006)Termination phase: Property scanning 10.78/2.17 10.78/2.17 % (1029006)Memory used [KB]: 1535 10.78/2.17 % (1029006)Time elapsed: 0.031 s 10.78/2.17 % (1029006)Instructions burned: 31 (million) 10.78/2.17 % (1029006)------------------------------ 10.78/2.17 % (1029006)------------------------------ 10.78/2.18 % (1029012)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_1028836 for (1783ds/182Mi) 10.90/2.20 % (1029013)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_1028836 for (1783ds/154Mi) 10.90/2.23 % (1028959)Instruction limit reached! 10.90/2.23 % (1028959)------------------------------ 10.90/2.23 % (1028959)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.90/2.23 % (1028959)Termination reason: Unknown 10.90/2.23 % (1028959)Termination phase: Saturation 10.90/2.23 10.90/2.23 % (1028959)Memory used [KB]: 8443 10.90/2.23 % (1028959)Time elapsed: 0.898 s 10.90/2.23 % (1028959)Instructions burned: 1087 (million) 10.90/2.23 % (1028959)------------------------------ 10.90/2.23 % (1028959)------------------------------ 10.90/2.23 % (1029011)Instruction limit reached! 10.90/2.23 % (1029011)------------------------------ 10.90/2.23 % (1029011)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.90/2.23 % (1029011)Termination reason: Unknown 10.90/2.23 % (1029011)Termination phase: Saturation 10.90/2.23 10.90/2.23 % (1029011)Memory used [KB]: 6524 10.90/2.23 % (1029011)Time elapsed: 0.073 s 10.90/2.23 % (1029011)Instructions burned: 183 (million) 10.90/2.23 % (1029011)------------------------------ 10.90/2.23 % (1029011)------------------------------ 10.90/2.25 % (1029014)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_1028836 for (1782ds/79Mi) 10.90/2.26 % (1029015)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_1028836 for (1782ds/216Mi) 10.90/2.28 % (1029014)Instruction limit reached! 10.90/2.28 % (1029014)------------------------------ 10.90/2.28 % (1029014)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.90/2.28 % (1029014)Termination reason: Unknown 10.90/2.28 % (1029014)Termination phase: Property scanning 10.90/2.28 10.90/2.28 % (1029014)Memory used [KB]: 1791 10.90/2.28 % (1029014)Time elapsed: 0.034 s 10.90/2.28 % (1029014)Instructions burned: 79 (million) 10.90/2.28 % (1029014)------------------------------ 10.90/2.28 % (1029014)------------------------------ 11.07/2.30 % (1029018)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_1028836 for (1782ds/114Mi) 11.07/2.32 % (1029013)Instruction limit reached! 11.07/2.32 % (1029013)------------------------------ 11.07/2.32 % (1029013)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.07/2.32 % (1029013)Termination reason: Unknown 11.07/2.32 % (1029013)Termination phase: Saturation 11.07/2.32 11.07/2.32 % (1029013)Memory used [KB]: 6524 11.07/2.32 % (1029013)Time elapsed: 0.120 s 11.07/2.32 % (1029013)Instructions burned: 155 (million) 11.07/2.32 % (1029013)------------------------------ 11.07/2.32 % (1029013)------------------------------ 11.07/2.34 % (1029018)Instruction limit reached! 11.07/2.34 % (1029018)------------------------------ 11.07/2.34 % (1029018)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.07/2.34 % (1029018)Termination reason: Unknown 11.07/2.34 % (1029018)Termination phase: Saturation 11.07/2.34 11.07/2.34 % (1029018)Memory used [KB]: 6396 11.07/2.34 % (1029018)Time elapsed: 0.048 s 11.07/2.34 % (1029018)Instructions burned: 115 (million) 11.07/2.34 % (1029018)------------------------------ 11.07/2.34 % (1029018)------------------------------ 11.07/2.35 % (1029019)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_1028836 for (1782ds/922Mi) 11.07/2.36 % (1029012)Instruction limit reached! 11.07/2.36 % (1029012)------------------------------ 11.07/2.36 % (1029012)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.07/2.36 % (1029012)Termination reason: Unknown 11.07/2.36 % (1029012)Termination phase: Saturation 11.07/2.36 11.07/2.36 % (1029012)Memory used [KB]: 6652 11.07/2.36 % (1029012)Time elapsed: 0.177 s 11.07/2.36 % (1029012)Instructions burned: 182 (million) 11.07/2.36 % (1029012)------------------------------ 11.07/2.36 % (1029012)------------------------------ 11.07/2.36 % (1029021)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_1028836 for (1781ds/182Mi) 11.07/2.39 % (1029023)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_1028836 for (1781ds/164Mi) 11.51/2.42 % (1029008)Instruction limit reached! 11.51/2.42 % (1029008)------------------------------ 11.51/2.42 % (1029008)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.51/2.42 % (1029008)Termination reason: Unknown 11.51/2.42 % (1029008)Termination phase: Saturation 11.51/2.42 11.51/2.42 % (1029008)Memory used [KB]: 6652 11.51/2.42 % (1029008)Time elapsed: 0.267 s 11.51/2.42 % (1029008)Instructions burned: 297 (million) 11.51/2.42 % (1029008)------------------------------ 11.51/2.42 % (1029008)------------------------------ 11.51/2.43 % (1029021)Instruction limit reached! 11.51/2.43 % (1029021)------------------------------ 11.51/2.43 % (1029021)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.51/2.43 % (1029021)Termination reason: Unknown 11.51/2.43 % (1029021)Termination phase: Saturation 11.51/2.43 11.51/2.43 % (1029021)Memory used [KB]: 6780 11.51/2.43 % (1029021)Time elapsed: 0.073 s 11.51/2.43 % (1029021)Instructions burned: 183 (million) 11.51/2.43 % (1029021)------------------------------ 11.51/2.43 % (1029021)------------------------------ 11.51/2.44 % (1029005)Instruction limit reached! 11.51/2.44 % (1029005)------------------------------ 11.51/2.44 % (1029005)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.51/2.44 % (1029005)Termination reason: Unknown 11.51/2.44 % (1029005)Termination phase: Saturation 11.51/2.44 11.51/2.44 % (1029005)Memory used [KB]: 6780 11.51/2.44 % (1029005)Time elapsed: 0.325 s 11.51/2.44 % (1029005)Instructions burned: 459 (million) 11.51/2.44 % (1029005)------------------------------ 11.51/2.44 % (1029005)------------------------------ 11.51/2.44 % (1029015)Instruction limit reached! 11.51/2.44 % (1029015)------------------------------ 11.51/2.44 % (1029015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.51/2.44 % (1029015)Termination reason: Unknown 11.51/2.44 % (1029015)Termination phase: Saturation 11.51/2.44 11.51/2.44 % (1029015)Memory used [KB]: 6524 11.51/2.44 % (1029015)Time elapsed: 0.182 s 11.51/2.44 % (1029015)Instructions burned: 216 (million) 11.51/2.44 % (1029015)------------------------------ 11.51/2.44 % (1029015)------------------------------ 11.51/2.45 % (1029024)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_1028836 for (1781ds/50Mi) 11.51/2.45 % (1029025)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_1028836 for (1780ds/368Mi) 11.51/2.48 % (1029026)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_1028836 for (1780ds/1021Mi) 11.51/2.48 % (1029027)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_1028836 for (1780ds/267Mi) 11.51/2.49 % (1029024)Instruction limit reached! 11.51/2.49 % (1029024)------------------------------ 11.51/2.49 % (1029024)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.51/2.49 % (1029024)Termination reason: Unknown 11.51/2.49 % (1029024)Termination phase: Function definition elimination 11.51/2.49 11.51/2.49 % (1029024)Memory used [KB]: 1663 11.51/2.49 % (1029024)Time elapsed: 0.044 s 11.51/2.49 % (1029024)Instructions burned: 51 (million) 11.51/2.49 % (1029024)------------------------------ 11.51/2.49 % (1029024)------------------------------ 12.53/2.52 % (1029023)Instruction limit reached! 12.53/2.52 % (1029023)------------------------------ 12.53/2.52 % (1029023)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.53/2.52 % (1029023)Termination reason: Unknown 12.53/2.52 % (1029023)Termination phase: Saturation 12.53/2.52 12.53/2.52 % (1029023)Memory used [KB]: 1918 12.53/2.52 % (1029023)Time elapsed: 0.161 s 12.53/2.52 % (1029023)Instructions burned: 164 (million) 12.53/2.52 % (1029023)------------------------------ 12.53/2.52 % (1029023)------------------------------ 12.53/2.52 % (1029030)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_1028836 for (1780ds/204Mi) 12.53/2.56 % (1029031)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_1028836 for (1779ds/26Mi) 12.53/2.58 % (1029031)Instruction limit reached! 12.53/2.58 % (1029031)------------------------------ 12.53/2.58 % (1029031)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.53/2.58 % (1029031)Termination reason: Unknown 12.53/2.58 % (1029031)Termination phase: Property scanning 12.53/2.58 12.53/2.58 % (1029031)Memory used [KB]: 1535 12.53/2.58 % (1029031)Time elapsed: 0.026 s 12.53/2.58 % (1029031)Instructions burned: 26 (million) 12.53/2.58 % (1029031)------------------------------ 12.53/2.58 % (1029031)------------------------------ 12.53/2.59 % (1029025)Instruction limit reached! 12.53/2.59 % (1029025)------------------------------ 12.53/2.59 % (1029025)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.53/2.59 % (1029025)Termination reason: Unknown 12.53/2.59 % (1029025)Termination phase: Saturation 12.53/2.59 12.53/2.59 % (1029025)Memory used [KB]: 6780 12.53/2.59 % (1029025)Time elapsed: 0.139 s 12.53/2.59 % (1029025)Instructions burned: 368 (million) 12.53/2.59 % (1029025)------------------------------ 12.53/2.59 % (1029025)------------------------------ 12.90/2.61 % (1029035)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_1028836 for (1779ds/4436Mi) 12.90/2.61 % (1029033)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_1028836 for (1779ds/53Mi) 12.90/2.65 % (1029033)Instruction limit reached! 12.90/2.65 % (1029033)------------------------------ 12.90/2.65 % (1029033)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.90/2.65 % (1029033)Termination reason: Unknown 12.90/2.65 % (1029033)Termination phase: Function definition elimination 12.90/2.65 12.90/2.65 % (1029033)Memory used [KB]: 1663 12.90/2.65 % (1029033)Time elapsed: 0.045 s 12.90/2.65 % (1029033)Instructions burned: 53 (million) 12.90/2.65 % (1029033)------------------------------ 12.90/2.65 % (1029033)------------------------------ 12.90/2.67 % (1029027)Instruction limit reached! 12.90/2.67 % (1029027)------------------------------ 12.90/2.67 % (1029027)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.90/2.67 % (1029027)Termination reason: Unknown 12.90/2.67 % (1029027)Termination phase: Saturation 12.90/2.67 12.90/2.67 % (1029027)Memory used [KB]: 6780 12.90/2.67 % (1029027)Time elapsed: 0.197 s 12.90/2.67 % (1029027)Instructions burned: 267 (million) 12.90/2.67 % (1029027)------------------------------ 12.90/2.67 % (1029027)------------------------------ 12.90/2.68 % (1029030)Instruction limit reached! 12.90/2.68 % (1029030)------------------------------ 12.90/2.68 % (1029030)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.90/2.68 % (1029030)Termination reason: Unknown 12.90/2.68 % (1029030)Termination phase: Saturation 12.90/2.68 12.90/2.68 % (1029030)Memory used [KB]: 6780 12.90/2.68 % (1029030)Time elapsed: 0.160 s 12.90/2.68 % (1029030)Instructions burned: 204 (million) 12.90/2.68 % (1029030)------------------------------ 12.90/2.68 % (1029030)------------------------------ 12.90/2.68 % (1029036)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_1028836 for (1778ds/1539Mi) 13.40/2.70 % (1029037)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_1028836 for (1778ds/408Mi) 13.40/2.71 % (1029038)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_1028836 for (1778ds/5205Mi) 13.40/2.85 % (1029010)Instruction limit reached! 13.40/2.85 % (1029010)------------------------------ 13.40/2.85 % (1029010)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 13.40/2.85 % (1029010)Termination reason: Unknown 13.40/2.85 % (1029010)Termination phase: Saturation 13.40/2.85 13.40/2.85 % (1029010)Memory used [KB]: 7036 13.40/2.85 % (1029010)Time elapsed: 0.699 s 13.40/2.85 % (1029010)Instructions burned: 987 (million) 13.40/2.85 % (1029010)------------------------------ 13.40/2.85 % (1029010)------------------------------ 13.40/2.89 % (1029043)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_1028836 for (1776ds/1913Mi) 14.13/3.02 % (1029019)Instruction limit reached! 14.13/3.02 % (1029019)------------------------------ 14.13/3.02 % (1029019)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 14.13/3.02 % (1029019)Termination reason: Unknown 14.13/3.02 % (1029019)Termination phase: Saturation 14.13/3.02 14.13/3.02 % (1029019)Memory used [KB]: 8059 14.13/3.02 % (1029019)Time elapsed: 0.695 s 14.13/3.02 % (1029019)Instructions burned: 922 (million) 14.13/3.02 % (1029019)------------------------------ 14.13/3.02 % (1029019)------------------------------ 14.13/3.06 % (1029046)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_1028836 for (1774ds/4350Mi) 17.20/3.07 % (1029037)Instruction limit reached! 17.20/3.07 % (1029037)------------------------------ 17.20/3.07 % (1029037)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 17.20/3.07 % (1029037)Termination reason: Unknown 17.20/3.07 % (1029037)Termination phase: Saturation 17.20/3.07 17.20/3.07 % (1029037)Memory used [KB]: 7419 17.20/3.07 % (1029037)Time elapsed: 0.373 s 17.20/3.07 % (1029037)Instructions burned: 408 (million) 17.20/3.07 % (1029037)------------------------------ 17.20/3.07 % (1029037)------------------------------ 17.20/3.10 % (1029049)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_1028836 for (1774ds/68Mi) 17.76/3.16 % (1029049)Instruction limit reached! 17.76/3.16 % (1029049)------------------------------ 17.76/3.16 % (1029049)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 17.76/3.16 % (1029049)Termination reason: Unknown 17.76/3.16 % (1029049)Termination phase: Function definition elimination 17.76/3.16 17.76/3.16 % (1029049)Memory used [KB]: 1663 17.76/3.16 % (1029049)Time elapsed: 0.057 s 17.76/3.16 % (1029049)Instructions burned: 68 (million) 17.76/3.16 % (1029049)------------------------------ 17.76/3.16 % (1029049)------------------------------ 17.76/3.17 % (1029026)Instruction limit reached! 17.76/3.17 % (1029026)------------------------------ 17.76/3.17 % (1029026)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 17.76/3.18 % (1029026)Termination reason: Unknown 17.76/3.18 % (1029026)Termination phase: Saturation 17.76/3.18 17.76/3.18 % (1029026)Memory used [KB]: 6780 17.76/3.18 % (1029026)Time elapsed: 0.702 s 17.76/3.18 % (1029026)Instructions burned: 1021 (million) 17.76/3.18 % (1029026)------------------------------ 17.76/3.18 % (1029026)------------------------------ 17.76/3.19 % (1029050)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_1028836 for (1773ds/358Mi) 18.03/3.21 % (1029051)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_1028836 for (1773ds/31Mi) 18.03/3.24 % (1029051)Instruction limit reached! 18.03/3.24 % (1029051)------------------------------ 18.03/3.24 % (1029051)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 18.03/3.24 % (1029051)Termination reason: Unknown 18.03/3.24 % (1029051)Termination phase: Property scanning 18.03/3.24 18.03/3.24 % (1029051)Memory used [KB]: 1535 18.03/3.24 % (1029051)Time elapsed: 0.032 s 18.03/3.24 % (1029051)Instructions burned: 32 (million) 18.03/3.24 % (1029051)------------------------------ 18.03/3.24 % (1029051)------------------------------ 18.03/3.27 % (1029054)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on E---3.1_1028836 for (1772ds/279Mi) 18.90/3.46 % (1029050)Instruction limit reached! 18.90/3.46 % (1029050)------------------------------ 18.90/3.46 % (1029050)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 18.90/3.46 % (1029050)Termination reason: Unknown 18.90/3.46 % (1029050)Termination phase: Saturation 18.90/3.46 18.90/3.46 % (1029050)Memory used [KB]: 6780 18.90/3.46 % (1029050)Time elapsed: 0.273 s 18.90/3.46 % (1029050)Instructions burned: 359 (million) 18.90/3.46 % (1029050)------------------------------ 18.90/3.46 % (1029050)------------------------------ 18.90/3.49 % (1029054)Instruction limit reached! 18.90/3.49 % (1029054)------------------------------ 18.90/3.49 % (1029054)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 18.90/3.49 % (1029054)Termination reason: Unknown 18.90/3.49 % (1029054)Termination phase: Saturation 18.90/3.49 18.90/3.49 % (1029054)Memory used [KB]: 6524 18.90/3.49 % (1029054)Time elapsed: 0.219 s 18.90/3.49 % (1029054)Instructions burned: 280 (million) 18.90/3.49 % (1029054)------------------------------ 18.90/3.49 % (1029054)------------------------------ 18.90/3.49 % (1029059)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on E---3.1_1028836 for (1770ds/258Mi) 19.85/3.52 % (1029060)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_1028836 for (1770ds/26Mi) 19.85/3.54 % (1029060)Instruction limit reached! 19.85/3.54 % (1029060)------------------------------ 19.85/3.54 % (1029060)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 19.85/3.54 % (1029060)Termination reason: Unknown 19.85/3.54 % (1029060)Termination phase: Property scanning 19.85/3.54 19.85/3.54 % (1029060)Memory used [KB]: 1535 19.85/3.54 % (1029060)Time elapsed: 0.026 s 19.85/3.54 % (1029060)Instructions burned: 26 (million) 19.85/3.54 % (1029060)------------------------------ 19.85/3.54 % (1029060)------------------------------ 19.85/3.58 % (1029063)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on E---3.1_1028836 for (1769ds/995Mi) 20.71/3.73 % (1029036)Instruction limit reached! 20.71/3.73 % (1029036)------------------------------ 20.71/3.73 % (1029036)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 20.71/3.73 % (1029036)Termination reason: Unknown 20.71/3.73 % (1029036)Termination phase: Saturation 20.71/3.73 20.71/3.73 % (1029036)Memory used [KB]: 6780 20.71/3.73 % (1029036)Time elapsed: 1.047 s 20.71/3.73 % (1029036)Instructions burned: 1539 (million) 20.71/3.73 % (1029036)------------------------------ 20.71/3.73 % (1029036)------------------------------ 20.71/3.74 % (1029059)Instruction limit reached! 20.71/3.74 % (1029059)------------------------------ 20.71/3.74 % (1029059)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 20.71/3.74 % (1029059)Termination reason: Unknown 20.71/3.74 % (1029059)Termination phase: Saturation 20.71/3.74 20.71/3.74 % (1029059)Memory used [KB]: 7036 20.71/3.74 % (1029059)Time elapsed: 0.249 s 20.71/3.74 % (1029059)Instructions burned: 258 (million) 20.71/3.74 % (1029059)------------------------------ 20.71/3.74 % (1029059)------------------------------ 20.71/3.76 % (1029066)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on E---3.1_1028836 for (1767ds/373Mi) 20.71/3.77 % (1029067)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on E---3.1_1028836 for (1767ds/253Mi) 21.66/3.96 % (1029067)Instruction limit reached! 21.66/3.96 % (1029067)------------------------------ 21.66/3.96 % (1029067)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 21.66/3.96 % (1029067)Termination reason: Unknown 21.66/3.96 % (1029067)Termination phase: Saturation 21.66/3.96 21.66/3.96 % (1029067)Memory used [KB]: 6780 21.66/3.96 % (1029067)Time elapsed: 0.186 s 21.66/3.96 % (1029067)Instructions burned: 253 (million) 21.66/3.96 % (1029067)------------------------------ 21.66/3.96 % (1029067)------------------------------ 21.66/3.99 % (1029072)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on E---3.1_1028836 for (1765ds/832Mi) 21.66/4.03 % (1029066)Instruction limit reached! 21.66/4.03 % (1029066)------------------------------ 21.66/4.03 % (1029066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 21.66/4.03 % (1029066)Termination reason: Unknown 21.66/4.03 % (1029066)Termination phase: Saturation 21.66/4.03 21.66/4.03 % (1029066)Memory used [KB]: 6780 21.66/4.03 % (1029066)Time elapsed: 0.271 s 21.66/4.03 % (1029066)Instructions burned: 374 (million) 21.66/4.03 % (1029066)------------------------------ 21.66/4.03 % (1029066)------------------------------ 21.66/4.03 % (1029072)Refutation not found, incomplete strategy 21.66/4.03 % (1029072)------------------------------ 21.66/4.03 % (1029072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 21.66/4.03 % (1029072)Termination reason: Refutation not found, incomplete strategy 21.66/4.03 21.66/4.03 21.66/4.03 % (1029072)Memory used [KB]: 6140 21.66/4.03 % (1029072)Time elapsed: 0.047 s 21.66/4.03 % (1029072)Instructions burned: 48 (million) 21.66/4.03 % (1029072)------------------------------ 21.66/4.03 % (1029072)------------------------------ 24.25/4.06 % (1029075)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on E---3.1_1028836 for (1764ds/668Mi) 24.25/4.07 % (1029076)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=40:si=on:rtra=on_0 on E---3.1_1028836 for (1764ds/40Mi) 24.25/4.10 % (1029076)Instruction limit reached! 24.25/4.10 % (1029076)------------------------------ 24.25/4.10 % (1029076)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 24.25/4.10 % (1029076)Termination reason: Unknown 24.25/4.10 % (1029076)Termination phase: Function definition elimination 24.25/4.10 24.25/4.10 % (1029076)Memory used [KB]: 1535 24.25/4.10 % (1029076)Time elapsed: 0.037 s 24.25/4.10 % (1029076)Instructions burned: 40 (million) 24.25/4.10 % (1029076)------------------------------ 24.25/4.10 % (1029076)------------------------------ 24.25/4.13 % (1029077)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on E---3.1_1028836 for (1764ds/294Mi) 25.02/4.22 % (1029043)Instruction limit reached! 25.02/4.22 % (1029043)------------------------------ 25.02/4.22 % (1029043)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 25.02/4.22 % (1029043)Termination reason: Unknown 25.02/4.22 % (1029043)Termination phase: Saturation 25.02/4.22 25.02/4.22 % (1029043)Memory used [KB]: 2302 25.02/4.22 % (1029043)Time elapsed: 1.340 s 25.02/4.22 % (1029043)Instructions burned: 1913 (million) 25.02/4.22 % (1029043)------------------------------ 25.02/4.22 % (1029043)------------------------------ 25.02/4.26 % (1029080)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on E---3.1_1028836 for (1762ds/187Mi) 25.02/4.29 % (1029063)Instruction limit reached! 25.02/4.29 % (1029063)------------------------------ 25.02/4.29 % (1029063)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 25.02/4.29 % (1029063)Termination reason: Unknown 25.02/4.29 % (1029063)Termination phase: Saturation 25.02/4.29 25.02/4.29 % (1029063)Memory used [KB]: 7036 25.02/4.29 % (1029063)Time elapsed: 0.720 s 25.02/4.29 % (1029063)Instructions burned: 995 (million) 25.02/4.29 % (1029063)------------------------------ 25.02/4.29 % (1029063)------------------------------ 25.47/4.33 % (1029083)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on E---3.1_1028836 for (1762ds/371Mi) 25.47/4.34 % (1029077)First to succeed. 25.47/4.38 % (1029077)Refutation found. Thanks to Tanya! 25.47/4.38 % SZS status Theorem for E---3.1_1028836 25.47/4.38 % SZS output start Proof for E---3.1_1028836 25.47/4.38 thf(func_def_0, type, c_Eps_i: ($i > $o) > $i). 25.47/4.38 thf(func_def_3, type, c_not: $o > $o). 25.47/4.38 thf(func_def_4, type, c_and: $o > $o > $o). 25.47/4.38 thf(func_def_5, type, c_or: $o > $o > $o). 25.47/4.38 thf(func_def_6, type, c_iff: $o > $o > $o). 25.47/4.38 thf(func_def_7, type, c_In: $i > $i > $o). 25.47/4.38 thf(func_def_8, type, c_Subq: $i > $i > $o). 25.47/4.38 thf(func_def_10, type, c_Union: $i > $i). 25.47/4.38 thf(func_def_11, type, c_Power: $i > $i). 25.47/4.38 thf(func_def_12, type, c_Repl: $i > ($i > $i) > $i). 25.47/4.38 thf(func_def_13, type, c_TransSet: $i > $o). 25.47/4.38 thf(func_def_14, type, c_atleast2: $i > $o). 25.47/4.38 thf(func_def_15, type, c_atleast3: $i > $o). 25.47/4.38 thf(func_def_16, type, c_atleast4: $i > $o). 25.47/4.38 thf(func_def_17, type, c_atleast5: $i > $o). 25.47/4.38 thf(func_def_18, type, c_atleast6: $i > $o). 25.47/4.38 thf(func_def_19, type, c_exactly2: $i > $o). 25.47/4.38 thf(func_def_20, type, c_exactly3: $i > $o). 25.47/4.38 thf(func_def_21, type, c_exactly4: $i > $o). 25.47/4.38 thf(func_def_22, type, c_exactly5: $i > $o). 25.47/4.38 thf(func_def_23, type, c_exu_i: ($i > $o) > $o). 25.47/4.38 thf(func_def_24, type, c_reflexive_i: ($i > $i > $o) > $o). 25.47/4.38 thf(func_def_25, type, c_irreflexive_i: ($i > $i > $o) > $o). 25.47/4.38 thf(func_def_26, type, c_symmetric_i: ($i > $i > $o) > $o). 25.47/4.38 thf(func_def_27, type, c_antisymmetric_i: ($i > $i > $o) > $o). 25.47/4.38 thf(func_def_28, type, c_transitive_i: ($i > $i > $o) > $o). 25.47/4.38 thf(func_def_29, type, c_eqreln_i: ($i > $i > $o) > $o). 25.47/4.38 thf(func_def_30, type, c_per_i: ($i > $i > $o) > $o). 25.47/4.38 thf(func_def_31, type, c_linear_i: ($i > $i > $o) > $o). 25.47/4.38 thf(func_def_32, type, c_trichotomous_or_i: ($i > $i > $o) > $o). 25.47/4.38 thf(func_def_33, type, c_partialorder_i: ($i > $i > $o) > $o). 25.47/4.38 thf(func_def_34, type, c_totalorder_i: ($i > $i > $o) > $o). 25.47/4.38 thf(func_def_35, type, c_strictpartialorder_i: ($i > $i > $o) > $o). 25.47/4.38 thf(func_def_36, type, c_stricttotalorder_i: ($i > $i > $o) > $o). 25.47/4.38 thf(func_def_37, type, c_If_i: $o > $i > $i > $i). 25.47/4.38 thf(func_def_38, type, c_exactly1of2: $o > $o > $o). 25.47/4.38 thf(func_def_39, type, c_exactly1of3: $o > $o > $o > $o). 25.47/4.38 thf(func_def_40, type, c_nIn: $i > $i > $o). 25.47/4.38 thf(func_def_41, type, c_nSubq: $i > $i > $o). 25.47/4.38 thf(func_def_42, type, c_UPair: $i > $i > $i). 25.47/4.38 thf(func_def_43, type, c_Sing: $i > $i). 25.47/4.38 thf(func_def_44, type, c_binunion: $i > $i > $i). 25.47/4.38 thf(func_def_45, type, c_SetAdjoin: $i > $i > $i). 25.47/4.38 thf(func_def_46, type, c_famunion: $i > ($i > $i) > $i). 25.47/4.38 thf(func_def_47, type, c_Sep: $i > ($i > $o) > $i). 25.47/4.38 thf(func_def_48, type, c_ReplSep: $i > ($i > $o) > ($i > $i) > $i). 25.47/4.38 thf(func_def_49, type, c_binintersect: $i > $i > $i). 25.47/4.38 thf(func_def_50, type, c_setminus: $i > $i > $i). 25.47/4.38 thf(func_def_51, type, c_inj: $i > $i > ($i > $i) > $o). 25.47/4.38 thf(func_def_52, type, c_bij: $i > $i > ($i > $i) > $o). 25.47/4.38 thf(func_def_53, type, c_atleastp: $i > $i > $o). 25.47/4.38 thf(func_def_54, type, c_equip: $i > $i > $o). 25.47/4.38 thf(func_def_55, type, c_In_rec_poly_G_i: ($i > ($i > $i) > $i) > $i > $i > $o). 25.47/4.38 thf(func_def_56, type, c_In_rec_poly_i: ($i > ($i > $i) > $i) > $i > $i). 25.47/4.38 thf(func_def_57, type, c_ordsucc: $i > $i). 25.47/4.38 thf(func_def_58, type, c_nat_p: $i > $o). 25.47/4.38 thf(func_def_59, type, c_nat_primrec: $i > ($i > $i > $i) > $i > $i). 25.47/4.38 thf(func_def_60, type, c_add_nat: $i > $i > $i). 25.47/4.38 thf(func_def_61, type, c_mul_nat: $i > $i > $i). 25.47/4.38 thf(func_def_62, type, c_ordinal: $i > $o). 25.47/4.38 thf(func_def_63, type, c_V_: $i > $i). 25.47/4.38 thf(func_def_64, type, c_Inj1: $i > $i). 25.47/4.38 thf(func_def_65, type, c_Inj0: $i > $i). 25.47/4.38 thf(func_def_66, type, c_Unj: $i > $i). 25.47/4.38 thf(func_def_67, type, c_combine_funcs: $i > $i > ($i > $i) > ($i > $i) > $i > $i). 25.47/4.38 thf(func_def_68, type, c_setsum: $i > $i > $i). 25.47/4.38 thf(func_def_69, type, c_proj0: $i > $i). 25.47/4.38 thf(func_def_70, type, c_proj1: $i > $i). 25.47/4.38 thf(func_def_71, type, c_binrep: $i > $i > $i). 25.47/4.38 thf(func_def_72, type, c_lam: $i > ($i > $i) > $i). 25.47/4.38 thf(func_def_73, type, c_setprod: $i > $i > $i). 25.47/4.38 thf(func_def_74, type, c_ap: $i > $i > $i). 25.47/4.38 thf(func_def_75, type, c_setsum_p: $i > $o). 25.47/4.38 thf(func_def_76, type, c_tuple_p: $i > $i > $o). 25.47/4.38 thf(func_def_77, type, c_Pi: $i > ($i > $i) > $i). 25.47/4.38 thf(func_def_78, type, c_setexp: $i > $i > $i). 25.47/4.38 thf(func_def_79, type, c_Sep2: $i > ($i > $i) > ($i > $i > $o) > $i). 25.47/4.38 thf(func_def_80, type, c_set_of_pairs: $i > $o). 25.47/4.38 thf(func_def_81, type, c_lam2: $i > ($i > $i) > ($i > $i > $i) > $i). 25.47/4.38 thf(func_def_82, type, c_PNoEq_: $i > ($i > $o) > ($i > $o) > $o). 25.47/4.38 thf(func_def_83, type, c_PNoLt_: $i > ($i > $o) > ($i > $o) > $o). 25.47/4.38 thf(func_def_84, type, c_PNoLt: $i > ($i > $o) > $i > ($i > $o) > $o). 25.47/4.38 thf(func_def_85, type, c_PNoLe: $i > ($i > $o) > $i > ($i > $o) > $o). 25.47/4.38 thf(func_def_86, type, c_PNo_downc: ($i > ($i > $o) > $o) > $i > ($i > $o) > $o). 25.47/4.38 thf(func_def_87, type, c_PNo_upc: ($i > ($i > $o) > $o) > $i > ($i > $o) > $o). 25.47/4.38 thf(func_def_88, type, c_SNoElts_: $i > $i). 25.47/4.38 thf(func_def_89, type, c_SNo_: $i > $i > $o). 25.47/4.38 thf(func_def_90, type, c_PSNo: $i > ($i > $o) > $i). 25.47/4.38 thf(func_def_91, type, c_SNo: $i > $o). 25.47/4.38 thf(func_def_92, type, c_SNoLev: $i > $i). 25.47/4.38 thf(func_def_93, type, c_SNoEq_: $i > $i > $i > $o). 25.47/4.38 thf(func_def_94, type, c_SNoLt: $i > $i > $o). 25.47/4.38 thf(func_def_95, type, c_SNoLe: $i > $i > $o). 25.47/4.38 thf(func_def_96, type, c_binop_on: $i > ($i > $i > $i) > $o). 25.47/4.38 thf(func_def_97, type, c_Loop: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > $o). 25.47/4.38 thf(func_def_98, type, c_Loop_with_defs: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o). 25.47/4.38 thf(func_def_99, type, c_Loop_with_defs_cex1: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o). 25.47/4.38 thf(func_def_100, type, c_Loop_with_defs_cex2: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o). 25.47/4.38 thf(func_def_101, type, c_combinator: $i > $o). 25.47/4.38 thf(func_def_102, type, c_combinator_equiv: $i > $i > $o). 25.47/4.38 thf(func_def_103, type, c_equip_mod: $i > $i > $i > $o). 25.47/4.38 thf(func_def_133, type, ph1: !>[X0: $tType]:(X0)). 25.47/4.38 thf(f579,plain,( 25.47/4.38 $false), 25.47/4.38 inference(avatar_sat_refutation,[status(thm)],[f479,f489,f539,f578])). 25.47/4.38 thf(f578,plain,( 25.47/4.38 ~spl0_5), 25.47/4.38 inference(avatar_contradiction_clause,[status(thm)],[f577])). 25.47/4.38 thf(f577,plain,( 25.47/4.38 $false | ~spl0_5), 25.47/4.38 inference(trivial_inequality_removal,[status(thm)],[f574])). 25.47/4.38 thf(f574,plain,( 25.47/4.38 ($true = $false) | ~spl0_5), 25.47/4.38 inference(superposition,[status(thm)],[f433,f475])). 25.47/4.38 thf(f475,plain,( 25.47/4.38 (c_False = $true) | ~spl0_5), 25.47/4.38 inference(avatar_component_clause,[status(thm)],[f473])). 25.47/4.38 thf(f473,definition,( 25.47/4.38 spl0_5 <=> (c_False = $true)), 25.47/4.38 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])). 25.47/4.38 thf(f433,plain,( 25.47/4.38 (c_False = $false)), 25.47/4.38 inference(binary_proxy_clausification,[status(thm)],[f432])). 25.47/4.38 thf(f432,plain,( 25.47/4.38 (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $o @ (^[Y2 : $o]: (((((Y0 @ (Y1 @ (c_Eps_i @ (^[Y3 : $i]: (c_or @ (!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) => (((c_Repl @ (Y1 @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: (c_or @ (!! @ $o @ (^[Y7 : $o]: (((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y5 = Y6) => Y7)) => Y7))) @ (!! @ $o @ (^[Y7 : $o]: ((((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y8 : $i]: (!! @ $o @ (^[Y9 : $o]: (((c_In @ Y8 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y8 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y9)) => Y9))))) = Y6) => Y7)) => Y7)))))))) = Y3) => Y4)) => Y4))) @ (!! @ $o @ (^[Y4 : $o]: ((((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) => c_False) => ((c_Empty = Y3) => Y4)) => Y4)))))))) => ((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ (Y1 @ c_Empty)) => (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y3) => (c_In @ Y4 @ (Y1 @ c_Empty)))))))) => (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ c_Empty) => (?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y3)))) => ((!! @ $o @ (^[Y6 : $o]: (((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (c_In @ Y9 @ (c_Power @ Y7))))) => c_False) => Y8)) => Y8))))) => (((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4))))))) => ((!! @ $o @ (^[Y9 : $o]: ((((!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (c_In @ Y10 @ Y7)))) => c_False) => ((?? @ $i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((c_In @ Y10 @ Y7) => (((!! @ $i @ (^[Y12 : $i]: ((c_In @ Y12 @ Y7) => (c_In @ Y12 @ (c_Power @ Y10))))) => c_False) => Y11)) => Y11))))) => Y9)) => Y9))) => Y8)) => Y8))))) => c_False) => Y6)) => Y6))) => Y5)) => Y5)))))))))) => (?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y3)))) => ((((Y1 @ Y3) = Y3) => (?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y3)))) => (((Y0 @ (c_lam @ Y5 @ (^[Y9 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y8)) => Y8)))))) => Y6)) => Y6))))) => (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (c_In @ Y9 @ Y5))))))) => ((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y9) => (c_In @ Y10 @ Y8)))))))))) => Y7)) => Y7))) => ((!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y3) => (c_In @ Y8 @ (c_binunion @ Y5 @ (c_Repl @ Y5 @ (^[Y9 : $i]: (c_SetAdjoin @ Y9 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (c_or @ (!! @ $o @ (^[Y9 : $o]: (((c_In @ (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y3) => (((c_In @ Y8 @ Y3) => c_False) => Y9)) => Y9))) @ (!! @ $o @ (^[Y9 : $o]: ((((c_In @ (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y3) => c_False) => ((c_In @ Y8 @ Y3) => Y9)) => Y9))))))) => Y7)) => Y7))) => Y6)) => Y6))))) => c_False) => Y4)) => Y4)))))) => (((Y0 @ (Y1 @ (Y1 @ (Y1 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => Y2)) => Y2))))))) => c_False) = $false)), 25.47/4.38 inference(not_proxy_clausification,[status(thm)],[f431])). 25.47/4.38 thf(f431,plain,( 25.47/4.38 ($true = (~ ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $o @ (^[Y2 : $o]: (((((Y0 @ (Y1 @ (c_Eps_i @ (^[Y3 : $i]: (c_or @ (!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) => (((c_Repl @ (Y1 @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: (c_or @ (!! @ $o @ (^[Y7 : $o]: (((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y5 = Y6) => Y7)) => Y7))) @ (!! @ $o @ (^[Y7 : $o]: ((((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y8 : $i]: (!! @ $o @ (^[Y9 : $o]: (((c_In @ Y8 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y8 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y9)) => Y9))))) = Y6) => Y7)) => Y7)))))))) = Y3) => Y4)) => Y4))) @ (!! @ $o @ (^[Y4 : $o]: ((((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) => c_False) => ((c_Empty = Y3) => Y4)) => Y4)))))))) => ((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ (Y1 @ c_Empty)) => (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y3) => (c_In @ Y4 @ (Y1 @ c_Empty)))))))) => (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ c_Empty) => (?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y3)))) => ((!! @ $o @ (^[Y6 : $o]: (((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (c_In @ Y9 @ (c_Power @ Y7))))) => c_False) => Y8)) => Y8))))) => (((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4))))))) => ((!! @ $o @ (^[Y9 : $o]: ((((!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (c_In @ Y10 @ Y7)))) => c_False) => ((?? @ $i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((c_In @ Y10 @ Y7) => (((!! @ $i @ (^[Y12 : $i]: ((c_In @ Y12 @ Y7) => (c_In @ Y12 @ (c_Power @ Y10))))) => c_False) => Y11)) => Y11))))) => Y9)) => Y9))) => Y8)) => Y8))))) => c_False) => Y6)) => Y6))) => Y5)) => Y5)))))))))) => (?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y3)))) => ((((Y1 @ Y3) = Y3) => (?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y3)))) => (((Y0 @ (c_lam @ Y5 @ (^[Y9 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y8)) => Y8)))))) => Y6)) => Y6))))) => (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (c_In @ Y9 @ Y5))))))) => ((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y9) => (c_In @ Y10 @ Y8)))))))))) => Y7)) => Y7))) => ((!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y3) => (c_In @ Y8 @ (c_binunion @ Y5 @ (c_Repl @ Y5 @ (^[Y9 : $i]: (c_SetAdjoin @ Y9 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (c_or @ (!! @ $o @ (^[Y9 : $o]: (((c_In @ (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y3) => (((c_In @ Y8 @ Y3) => c_False) => Y9)) => Y9))) @ (!! @ $o @ (^[Y9 : $o]: ((((c_In @ (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y3) => c_False) => ((c_In @ Y8 @ Y3) => Y9)) => Y9))))))) => Y7)) => Y7))) => Y6)) => Y6))))) => c_False) => Y4)) => Y4)))))) => (((Y0 @ (Y1 @ (Y1 @ (Y1 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => Y2)) => Y2))))))) => c_False)))), 25.47/4.38 inference(beta_eta_normalization,[status(thm)],[f416])). 25.47/4.38 thf(f416,plain,( 25.47/4.38 ((~ ((^[Y0 : $o]: (Y0 => c_False)) @ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ (((Y0 @ (Y1 @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i > $o]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: (c_or @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ Y6 @ (Y7 = Y9)) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ ((^[Y10 : $o]: (Y10 => c_False)) @ Y6) @ (Y8 = Y9)))))))))) @ (?? @ $i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ (c_In @ Y6 @ Y4) @ (Y5 @ Y6)))) @ (c_Repl @ Y4 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Eps_i @ (^[Y11 : $i]: (c_or @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ Y8 @ (Y9 = Y11)) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ ((^[Y12 : $o]: (Y12 => c_False)) @ Y8) @ (Y10 = Y11)))))))))) @ (Y5 @ Y7) @ Y7 @ (c_Eps_i @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ (c_In @ Y8 @ Y4) @ (Y5 @ Y8)))))) @ Y6))) @ c_Empty)))) @ Y2 @ (^[Y4 : $i]: (c_In @ Y4 @ Y3)))))) @ (Y1 @ (c_Power @ c_Empty)) @ (Y1 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (c_setsum @ Y2 @ (c_Power @ Y3))))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))) => (((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y2) => ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ Y2))))) @ (Y1 @ c_Empty)) => (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ c_Empty) => (?? @ $i @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $i]: (?? @ $i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ (c_In @ Y6 @ Y5) @ ((^[Y7 : $o]: (Y7 => c_False)) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y5 @ (c_Power @ Y6))))))) @ Y4) @ ((^[Y5 : $o]: (Y5 => c_False)) @ ((^[Y5 : $i]: (?? @ $i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y6 @ Y5) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $o]: (Y7 => c_False)) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y5 @ Y6)) @ ((^[Y7 : $i]: (?? @ $i @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ (c_In @ Y8 @ Y7) @ ((^[Y9 : $o]: (Y9 => c_False)) @ ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y9) => (c_In @ Y11 @ Y10))))))) @ Y7 @ (c_Power @ Y8))))))) @ Y6)))))) @ Y4)))) @ ((^[Y4 : $i]: (c_binunion @ Y4 @ (c_Sing @ Y4))) @ (Y1 @ Y3))))))))))) => (?? @ $i @ (^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ (?? @ $i @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ Y2) @ (((Y1 @ Y2) = Y2) => (?? @ $i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y4 @ Y2) @ ((^[Y5 : $o]: (Y5 => c_False)) @ (Y0 @ ((^[Y5 : $i]: ((^[Y6 : $i]: (c_lam @ Y5 @ (^[Y7 : $i]: (Y6)))))) @ Y3 @ ((^[Y5 : $i]: ((^[Y6 : $i]: (c_setsum @ Y5 @ (c_Power @ Y6))))) @ (c_Power @ ((^[Y5 : $i]: ((^[Y6 : $i]: (c_setsum @ Y5 @ (c_Power @ Y6))))) @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))))))))))) @ ((^[Y3 : $o]: (Y3 => c_False)) @ ((^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $o]: (!! @ $o @ (^[Y8 : $o]: ((Y6 => (Y7 => Y8)) => Y8)))))) @ ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y6) => ((^[Y8 : $i]: ((^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y8) => (c_In @ Y10 @ Y9))))))) @ Y7 @ Y6))))) @ Y5) @ (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y5) => ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y7) => ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y9) => (c_In @ Y11 @ Y10))))))) @ Y8 @ Y7))))) @ Y6)))))) @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y6 @ ((^[Y7 : $i]: (c_binunion @ Y7 @ (c_Repl @ Y7 @ (^[Y8 : $i]: ((^[Y9 : $i]: (c_SetAdjoin @ Y9 @ (c_Sing @ ((^[Y10 : $i]: (c_binunion @ Y10 @ (c_Sing @ Y10))) @ c_Empty)))) @ Y8))))) @ Y5)) @ (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => ((^[Y8 : $o]: ((^[Y9 : $o]: (c_or @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ Y8 @ ((^[Y10 : $o]: (Y10 => c_False)) @ Y9)) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ ((^[Y10 : $o]: (Y10 => c_False)) @ Y8) @ Y9))))) @ (c_In @ ((^[Y8 : $i]: (c_SetAdjoin @ Y8 @ (c_Sing @ ((^[Y9 : $i]: (c_binunion @ Y9 @ (c_Sing @ Y9))) @ c_Empty)))) @ Y7) @ Y6) @ (c_In @ Y7 @ Y6))))))))) @ Y4 @ Y3))))) @ Y2)))))) @ ((^[Y2 : $o]: (Y2 => c_False)) @ (Y0 @ (Y1 @ (Y1 @ (Y1 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (c_setsum @ Y2 @ (c_Power @ Y3))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (c_setsum @ Y2 @ (c_Power @ Y3))))) @ (c_Power @ ((^[Y2 : $i]: ((^[Y3 : $i]: (c_setsum @ Y2 @ (c_Power @ Y3))))) @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))))))))) = $true)), 25.47/4.38 inference(definition_unfolding,[status(thm)],[f294,f289,f290,f382,f336,f363,f290,f292,f369,f309,f290,f290,f292,f290,f292,f289,f325,f336,f336,f289,f408,f289,f336,f336,f336])). 25.47/4.38 thf(f408,plain,( 25.47/4.38 (c_SNo = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y3) => ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y4 @ Y3))))) @ Y2) @ (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y2) => ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y4) => ((^[Y6 : $i]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y7))))))) @ Y5 @ Y4))))) @ Y3)))))) @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ ((^[Y4 : $i]: (c_binunion @ Y4 @ (c_Repl @ Y4 @ (^[Y5 : $i]: ((^[Y6 : $i]: (c_SetAdjoin @ Y6 @ (c_Sing @ ((^[Y7 : $i]: (c_binunion @ Y7 @ (c_Sing @ Y7))) @ c_Empty)))) @ Y5))))) @ Y2)) @ (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => ((^[Y5 : $o]: ((^[Y6 : $o]: (c_or @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ Y5 @ ((^[Y7 : $o]: (Y7 => c_False)) @ Y6)) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $o]: (Y7 => c_False)) @ Y5) @ Y6))))) @ (c_In @ ((^[Y5 : $i]: (c_SetAdjoin @ Y5 @ (c_Sing @ ((^[Y6 : $i]: (c_binunion @ Y6 @ (c_Sing @ Y6))) @ c_Empty)))) @ Y4) @ Y3) @ (c_In @ Y4 @ Y3))))))))) @ Y1 @ Y0))))))), 25.47/4.38 inference(definition_unfolding,[status(thm)],[f323,f290,f390,f406])). 25.47/4.38 thf(f406,plain,( 25.47/4.38 (c_SNo_ = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y1 @ ((^[Y2 : $i]: (c_binunion @ Y2 @ (c_Repl @ Y2 @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_SetAdjoin @ Y4 @ (c_Sing @ ((^[Y5 : $i]: (c_binunion @ Y5 @ (c_Sing @ Y5))) @ c_Empty)))) @ Y3))))) @ Y0)) @ (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => ((^[Y3 : $o]: ((^[Y4 : $o]: (c_or @ ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ Y3 @ ((^[Y5 : $o]: (Y5 => c_False)) @ Y4)) @ ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $o]: (Y5 => c_False)) @ Y3) @ Y4))))) @ (c_In @ ((^[Y3 : $i]: (c_SetAdjoin @ Y3 @ (c_Sing @ ((^[Y4 : $i]: (c_binunion @ Y4 @ (c_Sing @ Y4))) @ c_Empty)))) @ Y2) @ Y1) @ (c_In @ Y2 @ Y1))))))))))), 25.47/4.38 inference(definition_unfolding,[status(thm)],[f300,f290,f292,f405,f376,f309])). 25.47/4.38 thf(f376,plain,( 25.47/4.38 (c_exactly1of2 = (^[Y0 : $o]: ((^[Y1 : $o]: (c_or @ ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ Y0 @ ((^[Y2 : $o]: (Y2 => c_False)) @ Y1)) @ ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $o]: (Y2 => c_False)) @ Y0) @ Y1))))))), 25.47/4.38 inference(definition_unfolding,[status(thm)],[f351,f290,f289,f290,f289])). 25.47/4.38 thf(f351,plain,( 25.47/4.38 (c_exactly1of2 = (^[Y0 : $o]: ((^[Y1 : $o]: (c_or @ (c_and @ Y0 @ (c_not @ Y1)) @ (c_and @ (c_not @ Y0) @ Y1))))))), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f161])). 25.47/4.38 thf(f161,plain,( 25.47/4.38 (c_exactly1of2 = (^[Y0 : $o]: ((^[Y1 : $o]: (c_or @ (c_and @ Y0 @ (c_not @ Y1)) @ (c_and @ (c_not @ Y0) @ Y1))))))), 25.47/4.38 inference(fool_elimination,[status(thm)],[f75])). 25.47/4.38 thf(f75,axiom,( 25.47/4.38 (c_exactly1of2 = (^[X0 : $o, X1 : $o] : (c_or @ (c_and @ X0 @ (c_not @ X1)) @ (c_and @ (c_not @ X0) @ X1))))), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',ax43)). 25.47/4.38 thf(f405,plain,( 25.47/4.38 (c_SNoElts_ = (^[Y0 : $i]: (c_binunion @ Y0 @ (c_Repl @ Y0 @ (^[Y1 : $i]: ((^[Y2 : $i]: (c_SetAdjoin @ Y2 @ (c_Sing @ ((^[Y3 : $i]: (c_binunion @ Y3 @ (c_Sing @ Y3))) @ c_Empty)))) @ Y1))))))), 25.47/4.38 inference(definition_unfolding,[status(thm)],[f306,f309])). 25.47/4.38 thf(f306,plain,( 25.47/4.38 (c_SNoElts_ = (^[Y0 : $i]: (c_binunion @ Y0 @ (c_Repl @ Y0 @ (^[Y1 : $i]: ((^[Y2 : $i]: (c_SetAdjoin @ Y2 @ (c_Sing @ (c_ordsucc @ c_Empty)))) @ Y1))))))), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f235])). 25.47/4.38 thf(f235,plain,( 25.47/4.38 (c_SNoElts_ = (^[Y0 : $i]: (c_binunion @ Y0 @ (c_Repl @ Y0 @ (^[Y1 : $i]: ((^[Y2 : $i]: (c_SetAdjoin @ Y2 @ (c_Sing @ (c_ordsucc @ c_Empty)))) @ Y1))))))), 25.47/4.38 inference(fool_elimination,[status(thm)],[f40])). 25.47/4.38 thf(f40,axiom,( 25.47/4.38 (c_SNoElts_ = (^[X0 : $i] : (c_binunion @ X0 @ (c_Repl @ X0 @ (^[X1 : $i] : ((^[X2 : $i] : (c_SetAdjoin @ X2 @ (c_Sing @ (c_ordsucc @ c_Empty)))) @ X1))))))), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',ax93)). 25.47/4.38 thf(f300,plain,( 25.47/4.38 (c_SNo_ = (^[Y0 : $i]: ((^[Y1 : $i]: (c_and @ (c_Subq @ Y1 @ (c_SNoElts_ @ Y0)) @ (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_exactly1of2 @ (c_In @ ((^[Y3 : $i]: (c_SetAdjoin @ Y3 @ (c_Sing @ (c_ordsucc @ c_Empty)))) @ Y2) @ Y1) @ (c_In @ Y2 @ Y1))))))))))), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f170])). 25.47/4.38 thf(f170,plain,( 25.47/4.38 (c_SNo_ = (^[Y0 : $i]: ((^[Y1 : $i]: (c_and @ (c_Subq @ Y1 @ (c_SNoElts_ @ Y0)) @ (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_exactly1of2 @ (c_In @ ((^[Y3 : $i]: (c_SetAdjoin @ Y3 @ (c_Sing @ (c_ordsucc @ c_Empty)))) @ Y2) @ Y1) @ (c_In @ Y2 @ Y1))))))))))), 25.47/4.38 inference(fool_elimination,[status(thm)],[f169])). 25.47/4.38 thf(f169,plain,( 25.47/4.38 ((^[X0 : $i, X1 : $i] : (c_and @ (c_Subq @ X1 @ (c_SNoElts_ @ X0)) @ ! [X2 : $i] : ((c_In @ X2 @ X0) => (c_exactly1of2 @ (c_In @ ((^[X3 : $i] : (c_SetAdjoin @ X3 @ (c_Sing @ (c_ordsucc @ c_Empty)))) @ X2) @ X1) @ (c_In @ X2 @ X1))))) = c_SNo_)), 25.47/4.38 inference(rectify,[status(thm)],[f77])). 25.47/4.38 thf(f77,axiom,( 25.47/4.38 ((^[X0 : $i, X1 : $i] : (c_and @ (c_Subq @ X1 @ (c_SNoElts_ @ X0)) @ ! [X2 : $i] : ((c_In @ X2 @ X0) => (c_exactly1of2 @ (c_In @ ((^[X3 : $i] : (c_SetAdjoin @ X3 @ (c_Sing @ (c_ordsucc @ c_Empty)))) @ X2) @ X1) @ (c_In @ X2 @ X1))))) = c_SNo_)), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',ax94)). 25.47/4.38 thf(f390,plain,( 25.47/4.38 (c_ordinal = (^[Y0 : $i]: ((^[Y1 : $o]: ((^[Y2 : $o]: (!! @ $o @ (^[Y3 : $o]: ((Y1 => (Y2 => Y3)) => Y3)))))) @ ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y1) => ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y2 @ Y1))))) @ Y0) @ (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y2) => ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ Y2))))) @ Y1)))))))), 25.47/4.38 inference(definition_unfolding,[status(thm)],[f334,f290,f363,f363])). 25.47/4.38 thf(f334,plain,( 25.47/4.38 (c_ordinal = (^[Y0 : $i]: (c_and @ (c_TransSet @ Y0) @ (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => (c_TransSet @ Y1)))))))), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f158])). 25.47/4.38 thf(f158,plain,( 25.47/4.38 (c_ordinal = (^[Y0 : $i]: (c_and @ (c_TransSet @ Y0) @ (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => (c_TransSet @ Y1)))))))), 25.47/4.38 inference(fool_elimination,[status(thm)],[f157])). 25.47/4.38 thf(f157,plain,( 25.47/4.38 ((^[X0 : $i] : (c_and @ (c_TransSet @ X0) @ ! [X1 : $i] : ((c_In @ X1 @ X0) => (c_TransSet @ X1)))) = c_ordinal)), 25.47/4.38 inference(rectify,[status(thm)],[f26])). 25.47/4.38 thf(f26,axiom,( 25.47/4.38 ((^[X0 : $i] : (c_and @ (c_TransSet @ X0) @ ! [X1 : $i] : ((c_In @ X1 @ X0) => (c_TransSet @ X1)))) = c_ordinal)), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',ax67)). 25.47/4.38 thf(f323,plain,( 25.47/4.38 (c_SNo = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_ordinal @ Y1) @ (c_SNo_ @ Y1 @ Y0))))))), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f287])). 25.47/4.38 thf(f287,plain,( 25.47/4.38 (c_SNo = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_ordinal @ Y1) @ (c_SNo_ @ Y1 @ Y0))))))), 25.47/4.38 inference(fool_elimination,[status(thm)],[f286])). 25.47/4.38 thf(f286,plain,( 25.47/4.38 (c_SNo = (^[X0 : $i] : (? [X1 : $i] : (c_and @ (c_ordinal @ X1) @ (c_SNo_ @ X1 @ X0)))))), 25.47/4.38 inference(rectify,[status(thm)],[f6])). 25.47/4.38 thf(f6,axiom,( 25.47/4.38 (c_SNo = (^[X0 : $i] : (? [X1 : $i] : (c_and @ (c_ordinal @ X1) @ (c_SNo_ @ X1 @ X0)))))), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',ax96)). 25.47/4.38 thf(f325,plain,( 25.47/4.38 (c_setprod = (^[Y0 : $i]: ((^[Y1 : $i]: (c_lam @ Y0 @ (^[Y2 : $i]: (Y1)))))))), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f234])). 25.47/4.38 thf(f234,plain,( 25.47/4.38 (c_setprod = (^[Y0 : $i]: ((^[Y1 : $i]: (c_lam @ Y0 @ (^[Y2 : $i]: (Y1)))))))), 25.47/4.38 inference(fool_elimination,[status(thm)],[f30])). 25.47/4.38 thf(f30,axiom,( 25.47/4.38 ((^[X0 : $i, X1 : $i] : (c_lam @ X0 @ (^[X2 : $i] : (X1)))) = c_setprod)), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',ax78)). 25.47/4.38 thf(f309,plain,( 25.47/4.38 (c_ordsucc = (^[Y0 : $i]: (c_binunion @ Y0 @ (c_Sing @ Y0))))), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f259])). 25.47/4.38 thf(f259,plain,( 25.47/4.38 (c_ordsucc = (^[Y0 : $i]: (c_binunion @ Y0 @ (c_Sing @ Y0))))), 25.47/4.38 inference(fool_elimination,[status(thm)],[f87])). 25.47/4.38 thf(f87,axiom,( 25.47/4.38 (c_ordsucc = (^[X0 : $i] : (c_binunion @ X0 @ (c_Sing @ X0))))), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',ax62)). 25.47/4.38 thf(f369,plain,( 25.47/4.38 (c_exactly2 = (^[Y0 : $i]: ((^[Y1 : $o]: ((^[Y2 : $o]: (!! @ $o @ (^[Y3 : $o]: ((Y1 => (Y2 => Y3)) => Y3)))))) @ ((^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ (c_In @ Y2 @ Y1) @ ((^[Y3 : $o]: (Y3 => c_False)) @ ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y1 @ (c_Power @ Y2))))))) @ Y0) @ ((^[Y1 : $o]: (Y1 => c_False)) @ ((^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y2 @ Y1) @ ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $o]: (Y3 => c_False)) @ ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y1 @ Y2)) @ ((^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ (c_In @ Y4 @ Y3) @ ((^[Y5 : $o]: (Y5 => c_False)) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y3 @ (c_Power @ Y4))))))) @ Y2)))))) @ Y0)))))), 25.47/4.38 inference(definition_unfolding,[status(thm)],[f348,f290,f364,f289,f365])). 25.47/4.38 thf(f365,plain,( 25.47/4.38 (c_atleast3 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y1 @ Y0) @ ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $o]: (Y2 => c_False)) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y0 @ Y1)) @ ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ (c_In @ Y3 @ Y2) @ ((^[Y4 : $o]: (Y4 => c_False)) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y2 @ (c_Power @ Y3))))))) @ Y1)))))))), 25.47/4.38 inference(definition_unfolding,[status(thm)],[f311,f290,f292,f290,f289,f292,f364])). 25.47/4.38 thf(f311,plain,( 25.47/4.38 (c_atleast3 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_Subq @ Y1 @ Y0) @ (c_and @ (c_not @ (c_Subq @ Y0 @ Y1)) @ (c_atleast2 @ Y1)))))))), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f233])). 25.47/4.38 thf(f233,plain,( 25.47/4.38 (c_atleast3 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_Subq @ Y1 @ Y0) @ (c_and @ (c_not @ (c_Subq @ Y0 @ Y1)) @ (c_atleast2 @ Y1)))))))), 25.47/4.38 inference(fool_elimination,[status(thm)],[f232])). 25.47/4.38 thf(f232,plain,( 25.47/4.38 (c_atleast3 = (^[X0 : $i] : (? [X1 : $i] : (c_and @ (c_Subq @ X1 @ X0) @ (c_and @ (c_not @ (c_Subq @ X0 @ X1)) @ (c_atleast2 @ X1))))))), 25.47/4.38 inference(rectify,[status(thm)],[f103])). 25.47/4.38 thf(f103,axiom,( 25.47/4.38 (c_atleast3 = (^[X0 : $i] : (? [X1 : $i] : (c_and @ (c_Subq @ X1 @ X0) @ (c_and @ (c_not @ (c_Subq @ X0 @ X1)) @ (c_atleast2 @ X1))))))), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',ax20)). 25.47/4.38 thf(f364,plain,( 25.47/4.38 (c_atleast2 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ (c_In @ Y1 @ Y0) @ ((^[Y2 : $o]: (Y2 => c_False)) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y0 @ (c_Power @ Y1))))))))), 25.47/4.38 inference(definition_unfolding,[status(thm)],[f347,f290,f289,f292])). 25.47/4.38 thf(f347,plain,( 25.47/4.38 (c_atleast2 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_In @ Y1 @ Y0) @ (c_not @ (c_Subq @ Y0 @ (c_Power @ Y1))))))))), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f223])). 25.47/4.38 thf(f223,plain,( 25.47/4.38 (c_atleast2 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_In @ Y1 @ Y0) @ (c_not @ (c_Subq @ Y0 @ (c_Power @ Y1))))))))), 25.47/4.38 inference(fool_elimination,[status(thm)],[f222])). 25.47/4.38 thf(f222,plain,( 25.47/4.38 (c_atleast2 = (^[X0 : $i] : (? [X1 : $i] : (c_and @ (c_In @ X1 @ X0) @ (c_not @ (c_Subq @ X0 @ (c_Power @ X1)))))))), 25.47/4.38 inference(rectify,[status(thm)],[f19])). 25.47/4.38 thf(f19,axiom,( 25.47/4.38 (c_atleast2 = (^[X0 : $i] : (? [X1 : $i] : (c_and @ (c_In @ X1 @ X0) @ (c_not @ (c_Subq @ X0 @ (c_Power @ X1)))))))), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',ax19)). 25.47/4.38 thf(f348,plain,( 25.47/4.38 (c_exactly2 = (^[Y0 : $i]: (c_and @ (c_atleast2 @ Y0) @ (c_not @ (c_atleast3 @ Y0)))))), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f218])). 25.47/4.38 thf(f218,plain,( 25.47/4.38 (c_exactly2 = (^[Y0 : $i]: (c_and @ (c_atleast2 @ Y0) @ (c_not @ (c_atleast3 @ Y0)))))), 25.47/4.38 inference(fool_elimination,[status(thm)],[f106])). 25.47/4.38 thf(f106,axiom,( 25.47/4.38 (c_exactly2 = (^[X0 : $i] : (c_and @ (c_atleast2 @ X0) @ (c_not @ (c_atleast3 @ X0)))))), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',ax24)). 25.47/4.38 thf(f292,plain,( 25.47/4.38 (c_Subq = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ Y1))))))))), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f130])). 25.47/4.38 thf(f130,plain,( 25.47/4.38 (c_Subq = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ Y1))))))))), 25.47/4.38 inference(fool_elimination,[status(thm)],[f129])). 25.47/4.38 thf(f129,plain,( 25.47/4.38 (c_Subq = (^[X0 : $i, X1 : $i] : (! [X2 : $i] : ((c_In @ X2 @ X0) => (c_In @ X2 @ X1)))))), 25.47/4.38 inference(rectify,[status(thm)],[f83])). 25.47/4.38 thf(f83,axiom,( 25.47/4.38 (c_Subq = (^[X0 : $i, X1 : $i] : (! [X2 : $i] : ((c_In @ X2 @ X0) => (c_In @ X2 @ X1)))))), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',ax17)). 25.47/4.38 thf(f363,plain,( 25.47/4.38 (c_TransSet = (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y1 @ Y0))))))), 25.47/4.38 inference(definition_unfolding,[status(thm)],[f324,f292])). 25.47/4.38 thf(f324,plain,( 25.47/4.38 (c_TransSet = (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => (c_Subq @ Y1 @ Y0))))))), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f214])). 25.47/4.38 thf(f214,plain,( 25.47/4.38 (c_TransSet = (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => (c_Subq @ Y1 @ Y0))))))), 25.47/4.38 inference(fool_elimination,[status(thm)],[f213])). 25.47/4.38 thf(f213,plain,( 25.47/4.38 (c_TransSet = (^[X0 : $i] : (! [X1 : $i] : ((c_In @ X1 @ X0) => (c_Subq @ X1 @ X0)))))), 25.47/4.38 inference(rectify,[status(thm)],[f12])). 25.47/4.38 thf(f12,axiom,( 25.47/4.38 (c_TransSet = (^[X0 : $i] : (! [X1 : $i] : ((c_In @ X1 @ X0) => (c_Subq @ X1 @ X0)))))), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',ax18)). 25.47/4.38 thf(f336,plain,( 25.47/4.38 (c_binrep = (^[Y0 : $i]: ((^[Y1 : $i]: (c_setsum @ Y0 @ (c_Power @ Y1))))))), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f200])). 25.47/4.38 thf(f200,plain,( 25.47/4.38 (c_binrep = (^[Y0 : $i]: ((^[Y1 : $i]: (c_setsum @ Y0 @ (c_Power @ Y1))))))), 25.47/4.38 inference(fool_elimination,[status(thm)],[f22])). 25.47/4.38 thf(f22,axiom,( 25.47/4.38 ((^[X0 : $i, X1 : $i] : (c_setsum @ X0 @ (c_Power @ X1))) = c_binrep)), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',ax76)). 25.47/4.38 thf(f382,plain,( 25.47/4.38 (c_binintersect = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $o]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: (c_or @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ Y4 @ (Y5 = Y7)) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ ((^[Y8 : $o]: (Y8 => c_False)) @ Y4) @ (Y6 = Y7)))))))))) @ (?? @ $i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ (c_In @ Y4 @ Y2) @ (Y3 @ Y4)))) @ (c_Repl @ Y2 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: (c_or @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ Y6 @ (Y7 = Y9)) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ ((^[Y10 : $o]: (Y10 => c_False)) @ Y6) @ (Y8 = Y9)))))))))) @ (Y3 @ Y5) @ Y5 @ (c_Eps_i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ (c_In @ Y6 @ Y2) @ (Y3 @ Y6)))))) @ Y4))) @ c_Empty)))) @ Y0 @ (^[Y2 : $i]: (c_In @ Y2 @ Y1)))))))), 25.47/4.38 inference(definition_unfolding,[status(thm)],[f296,f381])). 25.47/4.38 thf(f381,plain,( 25.47/4.38 (c_Sep = (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Eps_i @ (^[Y5 : $i]: (c_or @ ((^[Y6 : $o]: ((^[Y7 : $o]: (!! @ $o @ (^[Y8 : $o]: ((Y6 => (Y7 => Y8)) => Y8)))))) @ Y2 @ (Y3 = Y5)) @ ((^[Y6 : $o]: ((^[Y7 : $o]: (!! @ $o @ (^[Y8 : $o]: ((Y6 => (Y7 => Y8)) => Y8)))))) @ ((^[Y6 : $o]: (Y6 => c_False)) @ Y2) @ (Y4 = Y5)))))))))) @ (?? @ $i @ (^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ (c_In @ Y2 @ Y0) @ (Y1 @ Y2)))) @ (c_Repl @ Y0 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: (c_or @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ Y4 @ (Y5 = Y7)) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ ((^[Y8 : $o]: (Y8 => c_False)) @ Y4) @ (Y6 = Y7)))))))))) @ (Y1 @ Y3) @ Y3 @ (c_Eps_i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ (c_In @ Y4 @ Y0) @ (Y1 @ Y4)))))) @ Y2))) @ c_Empty)))))), 25.47/4.38 inference(definition_unfolding,[status(thm)],[f316,f375,f290,f375,f290])). 25.47/4.38 thf(f375,plain,( 25.47/4.38 (c_If_i = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Eps_i @ (^[Y3 : $i]: (c_or @ ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ Y0 @ (Y1 = Y3)) @ ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ ((^[Y4 : $o]: (Y4 => c_False)) @ Y0) @ (Y2 = Y3)))))))))))), 25.47/4.38 inference(definition_unfolding,[status(thm)],[f320,f290,f290,f289])). 25.47/4.38 thf(f320,plain,( 25.47/4.38 (c_If_i = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Eps_i @ (^[Y3 : $i]: (c_or @ (c_and @ Y0 @ (Y1 = Y3)) @ (c_and @ (c_not @ Y0) @ (Y2 = Y3)))))))))))), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f271])). 25.47/4.38 thf(f271,plain,( 25.47/4.38 (c_If_i = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Eps_i @ (^[Y3 : $i]: (c_or @ (c_and @ Y0 @ (Y1 = Y3)) @ (c_and @ (c_not @ Y0) @ (Y2 = Y3)))))))))))), 25.47/4.38 inference(fool_elimination,[status(thm)],[f70])). 25.47/4.38 thf(f70,axiom,( 25.47/4.38 ((^[X0 : $o, X1 : $i, X2 : $i] : (c_Eps_i @ (^[X3 : $i] : (c_or @ (c_and @ X0 @ (X1 = X3)) @ (c_and @ (c_not @ X0) @ (X2 = X3)))))) = c_If_i)), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',ax42)). 25.47/4.38 thf(f316,plain,( 25.47/4.38 (c_Sep = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (c_If_i @ (?? @ $i @ (^[Y2 : $i]: (c_and @ (c_In @ Y2 @ Y0) @ (Y1 @ Y2)))) @ (c_Repl @ Y0 @ (^[Y2 : $i]: ((^[Y3 : $i]: (c_If_i @ (Y1 @ Y3) @ Y3 @ (c_Eps_i @ (^[Y4 : $i]: (c_and @ (c_In @ Y4 @ Y0) @ (Y1 @ Y4)))))) @ Y2))) @ c_Empty)))))), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f265])). 25.47/4.38 thf(f265,plain,( 25.47/4.38 (c_Sep = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (c_If_i @ (?? @ $i @ (^[Y2 : $i]: (c_and @ (c_In @ Y2 @ Y0) @ (Y1 @ Y2)))) @ (c_Repl @ Y0 @ (^[Y2 : $i]: ((^[Y3 : $i]: (c_If_i @ (Y1 @ Y3) @ Y3 @ (c_Eps_i @ (^[Y4 : $i]: (c_and @ (c_In @ Y4 @ Y0) @ (Y1 @ Y4)))))) @ Y2))) @ c_Empty)))))), 25.47/4.38 inference(fool_elimination,[status(thm)],[f264])). 25.47/4.38 thf(f264,plain,( 25.47/4.38 ((^[X0 : $i, X1 : $i > $o] : (c_If_i @ ? [X2 : $i] : (c_and @ (c_In @ X2 @ X0) @ (X1 @ X2)) @ (c_Repl @ X0 @ (^[X3 : $i] : ((^[X4 : $i] : (c_If_i @ (X1 @ X4) @ X4 @ (c_Eps_i @ (^[X5 : $i] : (c_and @ (c_In @ X5 @ X0) @ (X1 @ X5)))))) @ X3))) @ c_Empty)) = c_Sep)), 25.47/4.38 inference(rectify,[status(thm)],[f9])). 25.47/4.38 thf(f9,axiom,( 25.47/4.38 ((^[X0 : $i, X1 : $i > $o] : (c_If_i @ ? [X2 : $i] : (c_and @ (c_In @ X2 @ X0) @ (X1 @ X2)) @ (c_Repl @ X0 @ (^[X2 : $i] : ((^[X3 : $i] : (c_If_i @ (X1 @ X3) @ X3 @ (c_Eps_i @ (^[X4 : $i] : (c_and @ (c_In @ X4 @ X0) @ (X1 @ X4)))))) @ X2))) @ c_Empty)) = c_Sep)), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',ax52)). 25.47/4.38 thf(f296,plain,( 25.47/4.38 (c_binintersect = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Sep @ Y0 @ (^[Y2 : $i]: (c_In @ Y2 @ Y1)))))))), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f193])). 25.47/4.38 thf(f193,plain,( 25.47/4.38 (c_binintersect = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Sep @ Y0 @ (^[Y2 : $i]: (c_In @ Y2 @ Y1)))))))), 25.47/4.38 inference(fool_elimination,[status(thm)],[f67])). 25.47/4.38 thf(f67,axiom,( 25.47/4.38 (c_binintersect = (^[X0 : $i, X1 : $i] : (c_Sep @ X0 @ (^[X2 : $i] : (c_In @ X2 @ X1)))))), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',ax54)). 25.47/4.38 thf(f290,plain,( 25.47/4.38 (c_and = (^[Y0 : $o]: ((^[Y1 : $o]: (!! @ $o @ (^[Y2 : $o]: ((Y0 => (Y1 => Y2)) => Y2)))))))), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f220])). 25.47/4.38 thf(f220,plain,( 25.47/4.38 (c_and = (^[Y0 : $o]: ((^[Y1 : $o]: (!! @ $o @ (^[Y2 : $o]: ((Y0 => (Y1 => Y2)) => Y2)))))))), 25.47/4.38 inference(fool_elimination,[status(thm)],[f219])). 25.47/4.38 thf(f219,plain,( 25.47/4.38 ((^[X0 : $o, X1 : $o] : (! [X2 : $o] : ((X0 => (X1 => X2)) => X2))) = c_and)), 25.47/4.38 inference(rectify,[status(thm)],[f93])). 25.47/4.38 thf(f93,axiom,( 25.47/4.38 ((^[X0 : $o, X1 : $o] : (! [X2 : $o] : ((X0 => (X1 => X2)) => X2))) = c_and)), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',ax14)). 25.47/4.38 thf(f289,plain,( 25.47/4.38 (c_not = (^[Y0 : $o]: (Y0 => c_False)))), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f242])). 25.47/4.38 thf(f242,plain,( 25.47/4.38 (c_not = (^[Y0 : $o]: (Y0 => c_False)))), 25.47/4.38 inference(fool_elimination,[status(thm)],[f241])). 25.47/4.38 thf(f241,plain,( 25.47/4.38 ((^[X0 : $o] : (X0 => c_False)) = c_not)), 25.47/4.38 inference(rectify,[status(thm)],[f14])). 25.47/4.38 thf(f14,axiom,( 25.47/4.38 ((^[X0 : $o] : (X0 => c_False)) = c_not)), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',ax13)). 25.47/4.38 thf(f294,plain,( 25.47/4.38 ((~ (c_not @ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (c_and @ (((Y0 @ (Y1 @ (c_binintersect @ (Y1 @ (c_Power @ c_Empty)) @ (Y1 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))) => ((c_TransSet @ (Y1 @ c_Empty)) => (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ c_Empty) => (?? @ $i @ (^[Y3 : $i]: (c_and @ (c_Subq @ Y3 @ Y2) @ (c_exactly2 @ (c_ordsucc @ (Y1 @ Y3))))))))))) => (?? @ $i @ (^[Y2 : $i]: (c_and @ (?? @ $i @ (^[Y3 : $i]: (c_and @ (c_Subq @ Y3 @ Y2) @ (((Y1 @ Y2) = Y2) => (?? @ $i @ (^[Y4 : $i]: (c_and @ (c_Subq @ Y4 @ Y2) @ (c_not @ (Y0 @ (c_setprod @ Y3 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))))))))))) @ (c_not @ (c_SNo @ Y2)))))) @ (c_not @ (Y0 @ (Y1 @ (Y1 @ (Y1 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))))))))) = $true)), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f177])). 25.47/4.38 thf(f177,plain,( 25.47/4.38 ((~ (c_not @ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (c_and @ (((Y0 @ (Y1 @ (c_binintersect @ (Y1 @ (c_Power @ c_Empty)) @ (Y1 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))) => ((c_TransSet @ (Y1 @ c_Empty)) => (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ c_Empty) => (?? @ $i @ (^[Y3 : $i]: (c_and @ (c_Subq @ Y3 @ Y2) @ (c_exactly2 @ (c_ordsucc @ (Y1 @ Y3))))))))))) => (?? @ $i @ (^[Y2 : $i]: (c_and @ (?? @ $i @ (^[Y3 : $i]: (c_and @ (c_Subq @ Y3 @ Y2) @ (((Y1 @ Y2) = Y2) => (?? @ $i @ (^[Y4 : $i]: (c_and @ (c_Subq @ Y4 @ Y2) @ (c_not @ (Y0 @ (c_setprod @ Y3 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))))))))))) @ (c_not @ (c_SNo @ Y2)))))) @ (c_not @ (Y0 @ (Y1 @ (Y1 @ (Y1 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))))))))) = $true)), 25.47/4.38 inference(fool_elimination,[status(thm)],[f176])). 25.47/4.38 thf(f176,plain,( 25.47/4.38 ~(c_not @ ! [X0 : $i > $i,X1 : $i > $o] : (c_and @ ((X1 @ (X0 @ (c_binintersect @ (X0 @ (c_Power @ c_Empty)) @ (X0 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))) => ((c_TransSet @ (X0 @ c_Empty)) => ! [X2 : $i] : ((c_In @ X2 @ c_Empty) => ? [X3 : $i] : (c_and @ (c_Subq @ X3 @ X2) @ (c_exactly2 @ (c_ordsucc @ (X0 @ X3))))))) => ? [X4 : $i] : (c_and @ ? [X5 : $i] : (c_and @ (c_Subq @ X5 @ X4) @ ((X0 @ X4) = X4) => ? [X6 : $i] : (c_and @ (c_Subq @ X6 @ X4) @ (c_not @ (X1 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))))) @ (c_not @ (c_SNo @ X4))) @ (c_not @ (X1 @ (X0 @ (X0 @ (X0 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))))), 25.47/4.38 inference(rectify,[status(thm)],[f92])). 25.47/4.38 thf(f92,negated_conjecture,( 25.47/4.38 ~(c_not @ ! [X1 : $i > $i,X0 : $i > $o] : (c_and @ ((X0 @ (X1 @ (c_binintersect @ (X1 @ (c_Power @ c_Empty)) @ (X1 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))) => ((c_TransSet @ (X1 @ c_Empty)) => ! [X2 : $i] : ((c_In @ X2 @ c_Empty) => ? [X3 : $i] : (c_and @ (c_Subq @ X3 @ X2) @ (c_exactly2 @ (c_ordsucc @ (X1 @ X3))))))) => ? [X2 : $i] : (c_and @ ? [X3 : $i] : (c_and @ (c_Subq @ X3 @ X2) @ ((X1 @ X2) = X2) => ? [X4 : $i] : (c_and @ (c_Subq @ X4 @ X2) @ (c_not @ (X0 @ (c_setprod @ X3 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))))) @ (c_not @ (c_SNo @ X2))) @ (c_not @ (X0 @ (X1 @ (X1 @ (X1 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))))), 25.47/4.38 inference(negated_conjecture,[status(cth)],[f91])). 25.47/4.38 thf(f91,conjecture,( 25.47/4.38 (c_not @ ! [X1 : $i > $i,X0 : $i > $o] : (c_and @ ((X0 @ (X1 @ (c_binintersect @ (X1 @ (c_Power @ c_Empty)) @ (X1 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))) => ((c_TransSet @ (X1 @ c_Empty)) => ! [X2 : $i] : ((c_In @ X2 @ c_Empty) => ? [X3 : $i] : (c_and @ (c_Subq @ X3 @ X2) @ (c_exactly2 @ (c_ordsucc @ (X1 @ X3))))))) => ? [X2 : $i] : (c_and @ ? [X3 : $i] : (c_and @ (c_Subq @ X3 @ X2) @ ((X1 @ X2) = X2) => ? [X4 : $i] : (c_and @ (c_Subq @ X4 @ X2) @ (c_not @ (X0 @ (c_setprod @ X3 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))))) @ (c_not @ (c_SNo @ X2))) @ (c_not @ (X0 @ (X1 @ (X1 @ (X1 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))))), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',conj)). 25.47/4.38 thf(f539,plain,( 25.47/4.38 ~spl0_6), 25.47/4.38 inference(avatar_contradiction_clause,[status(thm)],[f538])). 25.47/4.38 thf(f538,plain,( 25.47/4.38 $false | ~spl0_6), 25.47/4.38 inference(trivial_inequality_removal,[status(thm)],[f537])). 25.47/4.38 thf(f537,plain,( 25.47/4.38 ($true = $false) | ~spl0_6), 25.47/4.38 inference(beta_eta_normalization,[status(thm)],[f492])). 25.47/4.38 thf(f492,plain,( 25.47/4.38 ( ! [X2 : $i > $i] : ((((^[Y0 : $i]: ($true)) @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) = $false)) ) | ~spl0_6), 25.47/4.38 inference(primitive_instantiation,[status(thm)],[f478])). 25.47/4.38 thf(f478,plain,( 25.47/4.38 ( ! [X2 : $i > $i,X1 : $i > $o] : (((X1 @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) = $false)) ) | ~spl0_6), 25.47/4.38 inference(avatar_component_clause,[status(thm)],[f477])). 25.47/4.38 thf(f477,definition,( 25.47/4.38 spl0_6 <=> ! [X2 : $i > $i,X1 : $i > $o] : ((X1 @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) = $false)), 25.47/4.38 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])). 25.47/4.38 thf(f489,plain,( 25.47/4.38 ~spl0_2), 25.47/4.38 inference(avatar_contradiction_clause,[status(thm)],[f488])). 25.47/4.38 thf(f488,plain,( 25.47/4.38 $false | ~spl0_2), 25.47/4.38 inference(trivial_inequality_removal,[status(thm)],[f482])). 25.47/4.38 thf(f482,plain,( 25.47/4.38 ($true = $false) | ~spl0_2), 25.47/4.38 inference(superposition,[status(thm)],[f437,f459])). 25.47/4.38 thf(f459,plain,( 25.47/4.38 ( ! [X3 : $o] : (($true = X3)) ) | ~spl0_2), 25.47/4.38 inference(avatar_component_clause,[status(thm)],[f458])). 25.47/4.38 thf(f458,definition,( 25.47/4.38 spl0_2 <=> ! [X3 : $o] : ($true = X3)), 25.47/4.38 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])). 25.47/4.38 thf(f437,plain,( 25.47/4.38 ((?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty))) = $false)), 25.47/4.38 inference(not_proxy_clausification,[status(thm)],[f436])). 25.47/4.38 thf(f436,plain,( 25.47/4.38 ($true = (~ (?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty)))))), 25.47/4.38 inference(boolean_simplification,[status(thm)],[f435])). 25.47/4.38 thf(f435,plain,( 25.47/4.38 (((?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty))) => $false) = $true)), 25.47/4.38 inference(backward_demodulation,[status(thm)],[f429,f433])). 25.47/4.38 thf(f429,plain,( 25.47/4.38 (((?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty))) => c_False) = $true)), 25.47/4.38 inference(beta_eta_normalization,[status(thm)],[f420])). 25.47/4.38 thf(f420,plain,( 25.47/4.38 ($true = ((^[Y0 : $o]: (Y0 => c_False)) @ (?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty)))))), 25.47/4.38 inference(definition_unfolding,[status(thm)],[f345,f289])). 25.47/4.38 thf(f345,plain,( 25.47/4.38 ($true = (c_not @ (?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty)))))), 25.47/4.38 inference(cnf_transformation,[status(thm)],[f145])). 25.47/4.38 thf(f145,plain,( 25.47/4.38 ($true = (c_not @ (?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty)))))), 25.47/4.38 inference(fool_elimination,[status(thm)],[f144])). 25.47/4.38 thf(f144,plain,( 25.47/4.38 (c_not @ ? [X0 : $i] : (c_In @ X0 @ c_Empty))), 25.47/4.38 inference(rectify,[status(thm)],[f31])). 25.47/4.38 thf(f31,axiom,( 25.47/4.38 (c_not @ ? [X0 : $i] : (c_In @ X0 @ c_Empty))), 25.47/4.38 file('/export/starexec/sandbox2/tmp/tmp.ywlx4FeoXF/E---3.1_1028836.p',ax5)). 25.47/4.38 thf(f479,plain,( 25.47/4.38 spl0_5 | spl0_2 | spl0_6), 25.47/4.38 inference(avatar_split_clause,[status(thm)],[f471,f477,f458,f473])). 25.47/4.38 thf(f471,plain,( 25.47/4.38 ( ! [X2 : $i > $i,X3 : $o,X1 : $i > $o] : (((X1 @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) = $false) | (c_False = $true) | ($true = X3)) )), 25.47/4.38 inference(binary_proxy_clausification,[status(thm)],[f470])). 25.47/4.38 thf(f470,plain,( 25.47/4.38 ( ! [X2 : $i > $i,X3 : $o,X1 : $i > $o] : ((((X1 @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) = $true) | ($true = X3)) )), 25.47/4.38 inference(binary_proxy_clausification,[status(thm)],[f447])). 25.47/4.38 thf(f447,plain,( 25.47/4.38 ( ! [X2 : $i > $i,X3 : $o,X1 : $i > $o] : (($true = X3) | ((((X1 @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => X3) = $false)) )), 25.47/4.38 inference(binary_proxy_clausification,[status(thm)],[f446])). 25.47/4.38 thf(f446,plain,( 25.47/4.38 ( ! [X2 : $i > $i,X3 : $o,X1 : $i > $o] : (($true = X3) | (((((X1 @ (X2 @ (c_Eps_i @ (^[Y0 : $i]: (c_or @ (!! @ $o @ (^[Y1 : $o]: (((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((c_In @ Y2 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y2 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y3)) => Y3))))) => (((c_Repl @ (X2 @ (c_Power @ c_Empty)) @ (^[Y2 : $i]: (c_Eps_i @ (^[Y3 : $i]: (c_or @ (!! @ $o @ (^[Y4 : $o]: (((c_In @ Y2 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y2 = Y3) => Y4)) => Y4))) @ (!! @ $o @ (^[Y4 : $o]: ((((c_In @ Y2 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) = Y3) => Y4)) => Y4)))))))) = Y0) => Y1)) => Y1))) @ (!! @ $o @ (^[Y1 : $o]: ((((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((c_In @ Y2 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y2 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y3)) => Y3))))) => c_False) => ((c_Empty = Y0) => Y1)) => Y1)))))))) => ((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ (X2 @ c_Empty)) => (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => (c_In @ Y1 @ (X2 @ c_Empty)))))))) => (!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ c_Empty) => (?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y1) => (c_In @ Y3 @ Y0)))) => ((!! @ $o @ (^[Y3 : $o]: (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((c_In @ Y4 @ (c_binunion @ (X2 @ Y1) @ (c_Sing @ (X2 @ Y1)))) => (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ (c_binunion @ (X2 @ Y1) @ (c_Sing @ (X2 @ Y1)))) => (c_In @ Y6 @ (c_Power @ Y4))))) => c_False) => Y5)) => Y5))))) => (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ (c_binunion @ (X2 @ Y1) @ (c_Sing @ (X2 @ Y1))))))) => ((!! @ $o @ (^[Y6 : $o]: ((((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ (c_binunion @ (X2 @ Y1) @ (c_Sing @ (X2 @ Y1)))) => (c_In @ Y7 @ Y4)))) => c_False) => ((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ Y4) => (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y4) => (c_In @ Y9 @ (c_Power @ Y7))))) => c_False) => Y8)) => Y8))))) => Y6)) => Y6))) => Y5)) => Y5))))) => c_False) => Y3)) => Y3))) => Y2)) => Y2)))))))))) => (?? @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y0)))) => ((((X2 @ Y0) = Y0) => (?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y0)))) => (((X1 @ (c_lam @ Y2 @ (^[Y6 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y5)) => Y5)))))) => Y3)) => Y3))))) => (((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y2) => (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y5) => (c_In @ Y6 @ Y2))))))) => ((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y2) => (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y6) => (c_In @ Y7 @ Y5)))))))))) => Y4)) => Y4))) => ((!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y0) => (c_In @ Y5 @ (c_binunion @ Y2 @ (c_Repl @ Y2 @ (^[Y6 : $i]: (c_SetAdjoin @ Y6 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y2) => (c_or @ (!! @ $o @ (^[Y6 : $o]: (((c_In @ (c_SetAdjoin @ Y5 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y0) => (((c_In @ Y5 @ Y0) => c_False) => Y6)) => Y6))) @ (!! @ $o @ (^[Y6 : $o]: ((((c_In @ (c_SetAdjoin @ Y5 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y0) => c_False) => ((c_In @ Y5 @ Y0) => Y6)) => Y6))))))) => Y4)) => Y4))) => Y3)) => Y3))))) => c_False) => Y1)) => Y1)))))) => (((X1 @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => X3)) = $false)) )), 25.47/4.38 inference(binary_proxy_clausification,[status(thm)],[f445])). 25.47/4.38 thf(f445,plain,( 25.47/4.38 ( ! [X2 : $i > $i,X3 : $o,X1 : $i > $o] : (($true = (((((X1 @ (X2 @ (c_Eps_i @ (^[Y0 : $i]: (c_or @ (!! @ $o @ (^[Y1 : $o]: (((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((c_In @ Y2 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y2 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y3)) => Y3))))) => (((c_Repl @ (X2 @ (c_Power @ c_Empty)) @ (^[Y2 : $i]: (c_Eps_i @ (^[Y3 : $i]: (c_or @ (!! @ $o @ (^[Y4 : $o]: (((c_In @ Y2 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y2 = Y3) => Y4)) => Y4))) @ (!! @ $o @ (^[Y4 : $o]: ((((c_In @ Y2 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) = Y3) => Y4)) => Y4)))))))) = Y0) => Y1)) => Y1))) @ (!! @ $o @ (^[Y1 : $o]: ((((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((c_In @ Y2 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y2 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y3)) => Y3))))) => c_False) => ((c_Empty = Y0) => Y1)) => Y1)))))))) => ((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ (X2 @ c_Empty)) => (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => (c_In @ Y1 @ (X2 @ c_Empty)))))))) => (!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ c_Empty) => (?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y1) => (c_In @ Y3 @ Y0)))) => ((!! @ $o @ (^[Y3 : $o]: (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((c_In @ Y4 @ (c_binunion @ (X2 @ Y1) @ (c_Sing @ (X2 @ Y1)))) => (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ (c_binunion @ (X2 @ Y1) @ (c_Sing @ (X2 @ Y1)))) => (c_In @ Y6 @ (c_Power @ Y4))))) => c_False) => Y5)) => Y5))))) => (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ (c_binunion @ (X2 @ Y1) @ (c_Sing @ (X2 @ Y1))))))) => ((!! @ $o @ (^[Y6 : $o]: ((((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ (c_binunion @ (X2 @ Y1) @ (c_Sing @ (X2 @ Y1)))) => (c_In @ Y7 @ Y4)))) => c_False) => ((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ Y4) => (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y4) => (c_In @ Y9 @ (c_Power @ Y7))))) => c_False) => Y8)) => Y8))))) => Y6)) => Y6))) => Y5)) => Y5))))) => c_False) => Y3)) => Y3))) => Y2)) => Y2)))))))))) => (?? @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y0)))) => ((((X2 @ Y0) = Y0) => (?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y0)))) => (((X1 @ (c_lam @ Y2 @ (^[Y6 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y5)) => Y5)))))) => Y3)) => Y3))))) => (((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y2) => (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y5) => (c_In @ Y6 @ Y2))))))) => ((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y2) => (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y6) => (c_In @ Y7 @ Y5)))))))))) => Y4)) => Y4))) => ((!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y0) => (c_In @ Y5 @ (c_binunion @ Y2 @ (c_Repl @ Y2 @ (^[Y6 : $i]: (c_SetAdjoin @ Y6 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y2) => (c_or @ (!! @ $o @ (^[Y6 : $o]: (((c_In @ (c_SetAdjoin @ Y5 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y0) => (((c_In @ Y5 @ Y0) => c_False) => Y6)) => Y6))) @ (!! @ $o @ (^[Y6 : $o]: ((((c_In @ (c_SetAdjoin @ Y5 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y0) => c_False) => ((c_In @ Y5 @ Y0) => Y6)) => Y6))))))) => Y4)) => Y4))) => Y3)) => Y3))))) => c_False) => Y1)) => Y1)))))) => (((X1 @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => X3)) => X3))) )), 25.47/4.38 inference(beta_eta_normalization,[status(thm)],[f444])). 25.47/4.38 thf(f444,plain,( 25.47/4.38 ( ! [X2 : $i > $i,X3 : $o,X1 : $i > $o] : ((((^[Y0 : $o]: (((((X1 @ (X2 @ (c_Eps_i @ (^[Y1 : $i]: (c_or @ (!! @ $o @ (^[Y2 : $o]: (((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((c_In @ Y3 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y3 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y4)) => Y4))))) => (((c_Repl @ (X2 @ (c_Power @ c_Empty)) @ (^[Y3 : $i]: (c_Eps_i @ (^[Y4 : $i]: (c_or @ (!! @ $o @ (^[Y5 : $o]: (((c_In @ Y3 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y3 = Y4) => Y5)) => Y5))) @ (!! @ $o @ (^[Y5 : $o]: ((((c_In @ Y3 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((c_In @ Y6 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y6 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y7)) => Y7))))) = Y4) => Y5)) => Y5)))))))) = Y1) => Y2)) => Y2))) @ (!! @ $o @ (^[Y2 : $o]: ((((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((c_In @ Y3 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y3 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y4)) => Y4))))) => c_False) => ((c_Empty = Y1) => Y2)) => Y2)))))))) => ((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ (X2 @ c_Empty)) => (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y1) => (c_In @ Y2 @ (X2 @ c_Empty)))))))) => (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ c_Empty) => (?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y1)))) => ((!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (c_binunion @ (X2 @ Y2) @ (c_Sing @ (X2 @ Y2)))) => (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ (c_binunion @ (X2 @ Y2) @ (c_Sing @ (X2 @ Y2)))) => (c_In @ Y7 @ (c_Power @ Y5))))) => c_False) => Y6)) => Y6))))) => (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ (c_binunion @ (X2 @ Y2) @ (c_Sing @ (X2 @ Y2))))))) => ((!! @ $o @ (^[Y7 : $o]: ((((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ (c_binunion @ (X2 @ Y2) @ (c_Sing @ (X2 @ Y2)))) => (c_In @ Y8 @ Y5)))) => c_False) => ((?? @ $i @ (^[Y8 : $i]: (!! @ $o @ (^[Y9 : $o]: (((c_In @ Y8 @ Y5) => (((!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y5) => (c_In @ Y10 @ (c_Power @ Y8))))) => c_False) => Y9)) => Y9))))) => Y7)) => Y7))) => Y6)) => Y6))))) => c_False) => Y4)) => Y4))) => Y3)) => Y3)))))))))) => (?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y1)))) => ((((X2 @ Y1) = Y1) => (?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y1)))) => (((X1 @ (c_lam @ Y3 @ (^[Y7 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y6)) => Y6)))))) => Y4)) => Y4))))) => (((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y3) => (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y6) => (c_In @ Y7 @ Y3))))))) => ((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y3) => (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y6) => (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y7) => (c_In @ Y8 @ Y6)))))))))) => Y5)) => Y5))) => ((!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y1) => (c_In @ Y6 @ (c_binunion @ Y3 @ (c_Repl @ Y3 @ (^[Y7 : $i]: (c_SetAdjoin @ Y7 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y3) => (c_or @ (!! @ $o @ (^[Y7 : $o]: (((c_In @ (c_SetAdjoin @ Y6 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y1) => (((c_In @ Y6 @ Y1) => c_False) => Y7)) => Y7))) @ (!! @ $o @ (^[Y7 : $o]: ((((c_In @ (c_SetAdjoin @ Y6 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y1) => c_False) => ((c_In @ Y6 @ Y1) => Y7)) => Y7))))))) => Y5)) => Y5))) => Y4)) => Y4))))) => c_False) => Y2)) => Y2)))))) => (((X1 @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => Y0)) => Y0)) @ X3) = $true)) )), 25.47/4.38 inference(pi_clausification,[status(thm)],[f443])). 25.47/4.38 thf(f443,plain,( 25.47/4.38 ( ! [X2 : $i > $i,X1 : $i > $o] : (((!! @ $o @ (^[Y0 : $o]: (((((X1 @ (X2 @ (c_Eps_i @ (^[Y1 : $i]: (c_or @ (!! @ $o @ (^[Y2 : $o]: (((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((c_In @ Y3 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y3 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y4)) => Y4))))) => (((c_Repl @ (X2 @ (c_Power @ c_Empty)) @ (^[Y3 : $i]: (c_Eps_i @ (^[Y4 : $i]: (c_or @ (!! @ $o @ (^[Y5 : $o]: (((c_In @ Y3 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y3 = Y4) => Y5)) => Y5))) @ (!! @ $o @ (^[Y5 : $o]: ((((c_In @ Y3 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((c_In @ Y6 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y6 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y7)) => Y7))))) = Y4) => Y5)) => Y5)))))))) = Y1) => Y2)) => Y2))) @ (!! @ $o @ (^[Y2 : $o]: ((((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((c_In @ Y3 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y3 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y4)) => Y4))))) => c_False) => ((c_Empty = Y1) => Y2)) => Y2)))))))) => ((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ (X2 @ c_Empty)) => (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y1) => (c_In @ Y2 @ (X2 @ c_Empty)))))))) => (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ c_Empty) => (?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y1)))) => ((!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (c_binunion @ (X2 @ Y2) @ (c_Sing @ (X2 @ Y2)))) => (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ (c_binunion @ (X2 @ Y2) @ (c_Sing @ (X2 @ Y2)))) => (c_In @ Y7 @ (c_Power @ Y5))))) => c_False) => Y6)) => Y6))))) => (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ (c_binunion @ (X2 @ Y2) @ (c_Sing @ (X2 @ Y2))))))) => ((!! @ $o @ (^[Y7 : $o]: ((((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ (c_binunion @ (X2 @ Y2) @ (c_Sing @ (X2 @ Y2)))) => (c_In @ Y8 @ Y5)))) => c_False) => ((?? @ $i @ (^[Y8 : $i]: (!! @ $o @ (^[Y9 : $o]: (((c_In @ Y8 @ Y5) => (((!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y5) => (c_In @ Y10 @ (c_Power @ Y8))))) => c_False) => Y9)) => Y9))))) => Y7)) => Y7))) => Y6)) => Y6))))) => c_False) => Y4)) => Y4))) => Y3)) => Y3)))))))))) => (?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y1)))) => ((((X2 @ Y1) = Y1) => (?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y1)))) => (((X1 @ (c_lam @ Y3 @ (^[Y7 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y6)) => Y6)))))) => Y4)) => Y4))))) => (((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y3) => (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y6) => (c_In @ Y7 @ Y3))))))) => ((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y3) => (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y6) => (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y7) => (c_In @ Y8 @ Y6)))))))))) => Y5)) => Y5))) => ((!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y1) => (c_In @ Y6 @ (c_binunion @ Y3 @ (c_Repl @ Y3 @ (^[Y7 : $i]: (c_SetAdjoin @ Y7 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y3) => (c_or @ (!! @ $o @ (^[Y7 : $o]: (((c_In @ (c_SetAdjoin @ Y6 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y1) => (((c_In @ Y6 @ Y1) => c_False) => Y7)) => Y7))) @ (!! @ $o @ (^[Y7 : $o]: ((((c_In @ (c_SetAdjoin @ Y6 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y1) => c_False) => ((c_In @ Y6 @ Y1) => Y7)) => Y7))))))) => Y5)) => Y5))) => Y4)) => Y4))))) => c_False) => Y2)) => Y2)))))) => (((X1 @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => Y0)) => Y0))) = $true)) )), 25.47/4.38 inference(beta_eta_normalization,[status(thm)],[f442])). 25.47/4.38 thf(f442,plain,( 25.47/4.38 ( ! [X2 : $i > $i,X1 : $i > $o] : (($true = ((^[Y0 : $i > $i]: (!! @ $o @ (^[Y1 : $o]: (((((X1 @ (Y0 @ (c_Eps_i @ (^[Y2 : $i]: (c_or @ (!! @ $o @ (^[Y3 : $o]: (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((c_In @ Y4 @ (Y0 @ (c_Power @ c_Empty))) => ((c_In @ Y4 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y5)) => Y5))))) => (((c_Repl @ (Y0 @ (c_Power @ c_Empty)) @ (^[Y4 : $i]: (c_Eps_i @ (^[Y5 : $i]: (c_or @ (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y4 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y4 = Y5) => Y6)) => Y6))) @ (!! @ $o @ (^[Y6 : $o]: ((((c_In @ Y4 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ (Y0 @ (c_Power @ c_Empty))) => ((c_In @ Y7 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y8)) => Y8))))) = Y5) => Y6)) => Y6)))))))) = Y2) => Y3)) => Y3))) @ (!! @ $o @ (^[Y3 : $o]: ((((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((c_In @ Y4 @ (Y0 @ (c_Power @ c_Empty))) => ((c_In @ Y4 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y5)) => Y5))))) => c_False) => ((c_Empty = Y2) => Y3)) => Y3)))))))) => ((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ (Y0 @ c_Empty)) => (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y2) => (c_In @ Y3 @ (Y0 @ c_Empty)))))))) => (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ c_Empty) => (?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y2)))) => ((!! @ $o @ (^[Y5 : $o]: (((?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((c_In @ Y6 @ (c_binunion @ (Y0 @ Y3) @ (c_Sing @ (Y0 @ Y3)))) => (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ (c_binunion @ (Y0 @ Y3) @ (c_Sing @ (Y0 @ Y3)))) => (c_In @ Y8 @ (c_Power @ Y6))))) => c_False) => Y7)) => Y7))))) => (((?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ (c_binunion @ (Y0 @ Y3) @ (c_Sing @ (Y0 @ Y3))))))) => ((!! @ $o @ (^[Y8 : $o]: ((((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ (c_binunion @ (Y0 @ Y3) @ (c_Sing @ (Y0 @ Y3)))) => (c_In @ Y9 @ Y6)))) => c_False) => ((?? @ $i @ (^[Y9 : $i]: (!! @ $o @ (^[Y10 : $o]: (((c_In @ Y9 @ Y6) => (((!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y6) => (c_In @ Y11 @ (c_Power @ Y9))))) => c_False) => Y10)) => Y10))))) => Y8)) => Y8))) => Y7)) => Y7))))) => c_False) => Y5)) => Y5))) => Y4)) => Y4)))))))))) => (?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y2)))) => ((((Y0 @ Y2) = Y2) => (?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y2)))) => (((X1 @ (c_lam @ Y4 @ (^[Y8 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y7)) => Y7)))))) => Y5)) => Y5))))) => (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y4) => (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y7) => (c_In @ Y8 @ Y4))))))) => ((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y4) => (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y7) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (c_In @ Y9 @ Y7)))))))))) => Y6)) => Y6))) => ((!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y2) => (c_In @ Y7 @ (c_binunion @ Y4 @ (c_Repl @ Y4 @ (^[Y8 : $i]: (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y4) => (c_or @ (!! @ $o @ (^[Y8 : $o]: (((c_In @ (c_SetAdjoin @ Y7 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y2) => (((c_In @ Y7 @ Y2) => c_False) => Y8)) => Y8))) @ (!! @ $o @ (^[Y8 : $o]: ((((c_In @ (c_SetAdjoin @ Y7 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y2) => c_False) => ((c_In @ Y7 @ Y2) => Y8)) => Y8))))))) => Y6)) => Y6))) => Y5)) => Y5))))) => c_False) => Y3)) => Y3)))))) => (((X1 @ (Y0 @ (Y0 @ (Y0 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => Y1)) => Y1)))) @ X2))) )), 25.47/4.38 inference(pi_clausification,[status(thm)],[f441])). 25.47/4.38 thf(f441,plain,( 25.47/4.38 ( ! [X1 : $i > $o] : (($true = (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $o @ (^[Y1 : $o]: (((((X1 @ (Y0 @ (c_Eps_i @ (^[Y2 : $i]: (c_or @ (!! @ $o @ (^[Y3 : $o]: (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((c_In @ Y4 @ (Y0 @ (c_Power @ c_Empty))) => ((c_In @ Y4 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y5)) => Y5))))) => (((c_Repl @ (Y0 @ (c_Power @ c_Empty)) @ (^[Y4 : $i]: (c_Eps_i @ (^[Y5 : $i]: (c_or @ (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y4 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y4 = Y5) => Y6)) => Y6))) @ (!! @ $o @ (^[Y6 : $o]: ((((c_In @ Y4 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ (Y0 @ (c_Power @ c_Empty))) => ((c_In @ Y7 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y8)) => Y8))))) = Y5) => Y6)) => Y6)))))))) = Y2) => Y3)) => Y3))) @ (!! @ $o @ (^[Y3 : $o]: ((((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((c_In @ Y4 @ (Y0 @ (c_Power @ c_Empty))) => ((c_In @ Y4 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y5)) => Y5))))) => c_False) => ((c_Empty = Y2) => Y3)) => Y3)))))))) => ((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ (Y0 @ c_Empty)) => (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y2) => (c_In @ Y3 @ (Y0 @ c_Empty)))))))) => (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ c_Empty) => (?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y2)))) => ((!! @ $o @ (^[Y5 : $o]: (((?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((c_In @ Y6 @ (c_binunion @ (Y0 @ Y3) @ (c_Sing @ (Y0 @ Y3)))) => (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ (c_binunion @ (Y0 @ Y3) @ (c_Sing @ (Y0 @ Y3)))) => (c_In @ Y8 @ (c_Power @ Y6))))) => c_False) => Y7)) => Y7))))) => (((?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ (c_binunion @ (Y0 @ Y3) @ (c_Sing @ (Y0 @ Y3))))))) => ((!! @ $o @ (^[Y8 : $o]: ((((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ (c_binunion @ (Y0 @ Y3) @ (c_Sing @ (Y0 @ Y3)))) => (c_In @ Y9 @ Y6)))) => c_False) => ((?? @ $i @ (^[Y9 : $i]: (!! @ $o @ (^[Y10 : $o]: (((c_In @ Y9 @ Y6) => (((!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y6) => (c_In @ Y11 @ (c_Power @ Y9))))) => c_False) => Y10)) => Y10))))) => Y8)) => Y8))) => Y7)) => Y7))))) => c_False) => Y5)) => Y5))) => Y4)) => Y4)))))))))) => (?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y2)))) => ((((Y0 @ Y2) = Y2) => (?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y2)))) => (((X1 @ (c_lam @ Y4 @ (^[Y8 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y7)) => Y7)))))) => Y5)) => Y5))))) => (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y4) => (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y7) => (c_In @ Y8 @ Y4))))))) => ((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y4) => (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y7) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (c_In @ Y9 @ Y7)))))))))) => Y6)) => Y6))) => ((!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y2) => (c_In @ Y7 @ (c_binunion @ Y4 @ (c_Repl @ Y4 @ (^[Y8 : $i]: (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y4) => (c_or @ (!! @ $o @ (^[Y8 : $o]: (((c_In @ (c_SetAdjoin @ Y7 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y2) => (((c_In @ Y7 @ Y2) => c_False) => Y8)) => Y8))) @ (!! @ $o @ (^[Y8 : $o]: ((((c_In @ (c_SetAdjoin @ Y7 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y2) => c_False) => ((c_In @ Y7 @ Y2) => Y8)) => Y8))))))) => Y6)) => Y6))) => Y5)) => Y5))))) => c_False) => Y3)) => Y3)))))) => (((X1 @ (Y0 @ (Y0 @ (Y0 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => Y1)) => Y1))))))) )), 25.47/4.38 inference(beta_eta_normalization,[status(thm)],[f440])). 25.47/4.38 thf(f440,plain,( 25.47/4.38 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $o @ (^[Y2 : $o]: (((((Y0 @ (Y1 @ (c_Eps_i @ (^[Y3 : $i]: (c_or @ (!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) => (((c_Repl @ (Y1 @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: (c_or @ (!! @ $o @ (^[Y7 : $o]: (((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y5 = Y6) => Y7)) => Y7))) @ (!! @ $o @ (^[Y7 : $o]: ((((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y8 : $i]: (!! @ $o @ (^[Y9 : $o]: (((c_In @ Y8 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y8 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y9)) => Y9))))) = Y6) => Y7)) => Y7)))))))) = Y3) => Y4)) => Y4))) @ (!! @ $o @ (^[Y4 : $o]: ((((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) => c_False) => ((c_Empty = Y3) => Y4)) => Y4)))))))) => ((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ (Y1 @ c_Empty)) => (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y3) => (c_In @ Y4 @ (Y1 @ c_Empty)))))))) => (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ c_Empty) => (?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y3)))) => ((!! @ $o @ (^[Y6 : $o]: (((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (c_In @ Y9 @ (c_Power @ Y7))))) => c_False) => Y8)) => Y8))))) => (((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4))))))) => ((!! @ $o @ (^[Y9 : $o]: ((((!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (c_In @ Y10 @ Y7)))) => c_False) => ((?? @ $i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((c_In @ Y10 @ Y7) => (((!! @ $i @ (^[Y12 : $i]: ((c_In @ Y12 @ Y7) => (c_In @ Y12 @ (c_Power @ Y10))))) => c_False) => Y11)) => Y11))))) => Y9)) => Y9))) => Y8)) => Y8))))) => c_False) => Y6)) => Y6))) => Y5)) => Y5)))))))))) => (?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y3)))) => ((((Y1 @ Y3) = Y3) => (?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y3)))) => (((Y0 @ (c_lam @ Y5 @ (^[Y9 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y8)) => Y8)))))) => Y6)) => Y6))))) => (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (c_In @ Y9 @ Y5))))))) => ((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y9) => (c_In @ Y10 @ Y8)))))))))) => Y7)) => Y7))) => ((!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y3) => (c_In @ Y8 @ (c_binunion @ Y5 @ (c_Repl @ Y5 @ (^[Y9 : $i]: (c_SetAdjoin @ Y9 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (c_or @ (!! @ $o @ (^[Y9 : $o]: (((c_In @ (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y3) => (((c_In @ Y8 @ Y3) => c_False) => Y9)) => Y9))) @ (!! @ $o @ (^[Y9 : $o]: ((((c_In @ (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y3) => c_False) => ((c_In @ Y8 @ Y3) => Y9)) => Y9))))))) => Y7)) => Y7))) => Y6)) => Y6))))) => c_False) => Y4)) => Y4)))))) => (((Y0 @ (Y1 @ (Y1 @ (Y1 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => Y2)) => Y2)))))) @ X1))) )), 25.47/4.38 inference(pi_clausification,[status(thm)],[f434])). 25.47/4.38 thf(f434,plain,( 25.47/4.38 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $o @ (^[Y2 : $o]: (((((Y0 @ (Y1 @ (c_Eps_i @ (^[Y3 : $i]: (c_or @ (!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) => (((c_Repl @ (Y1 @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: (c_or @ (!! @ $o @ (^[Y7 : $o]: (((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y5 = Y6) => Y7)) => Y7))) @ (!! @ $o @ (^[Y7 : $o]: ((((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y8 : $i]: (!! @ $o @ (^[Y9 : $o]: (((c_In @ Y8 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y8 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y9)) => Y9))))) = Y6) => Y7)) => Y7)))))))) = Y3) => Y4)) => Y4))) @ (!! @ $o @ (^[Y4 : $o]: ((((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) => c_False) => ((c_Empty = Y3) => Y4)) => Y4)))))))) => ((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ (Y1 @ c_Empty)) => (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y3) => (c_In @ Y4 @ (Y1 @ c_Empty)))))))) => (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ c_Empty) => (?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y3)))) => ((!! @ $o @ (^[Y6 : $o]: (((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (c_In @ Y9 @ (c_Power @ Y7))))) => c_False) => Y8)) => Y8))))) => (((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4))))))) => ((!! @ $o @ (^[Y9 : $o]: ((((!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (c_In @ Y10 @ Y7)))) => c_False) => ((?? @ $i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((c_In @ Y10 @ Y7) => (((!! @ $i @ (^[Y12 : $i]: ((c_In @ Y12 @ Y7) => (c_In @ Y12 @ (c_Power @ Y10))))) => c_False) => Y11)) => Y11))))) => Y9)) => Y9))) => Y8)) => Y8))))) => c_False) => Y6)) => Y6))) => Y5)) => Y5)))))))))) => (?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y3)))) => ((((Y1 @ Y3) = Y3) => (?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y3)))) => (((Y0 @ (c_lam @ Y5 @ (^[Y9 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y8)) => Y8)))))) => Y6)) => Y6))))) => (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (c_In @ Y9 @ Y5))))))) => ((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y9) => (c_In @ Y10 @ Y8)))))))))) => Y7)) => Y7))) => ((!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y3) => (c_In @ Y8 @ (c_binunion @ Y5 @ (c_Repl @ Y5 @ (^[Y9 : $i]: (c_SetAdjoin @ Y9 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (c_or @ (!! @ $o @ (^[Y9 : $o]: (((c_In @ (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y3) => (((c_In @ Y8 @ Y3) => c_False) => Y9)) => Y9))) @ (!! @ $o @ (^[Y9 : $o]: ((((c_In @ (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y3) => c_False) => ((c_In @ Y8 @ Y3) => Y9)) => Y9))))))) => Y7)) => Y7))) => Y6)) => Y6))))) => c_False) => Y4)) => Y4)))))) => (((Y0 @ (Y1 @ (Y1 @ (Y1 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => Y2)) => Y2))))))))), 25.47/4.38 inference(binary_proxy_clausification,[status(thm)],[f432])). 25.47/4.38 % SZS output end Proof for E---3.1_1028836 25.47/4.38 % (1029077)------------------------------ 25.47/4.38 % (1029077)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 25.47/4.38 % (1029077)Termination reason: Refutation 25.47/4.38 25.47/4.38 % (1029077)Memory used [KB]: 7803 25.47/4.38 % (1029077)Time elapsed: 0.244 s 25.47/4.38 % (1029077)Instructions burned: 249 (million) 25.47/4.38 % (1029077)------------------------------ 25.47/4.38 % (1029077)------------------------------ 25.47/4.38 % (1028893)Success in time 3.865 s 25.47/4.38 EOF