0.08/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n011.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 03:47:04 EDT 2025 0.12/0.33 % CPUTime : 0.12/0.35 This is a THF_ problem 0.12/0.35 Running higher-order theorem proving 0.22/0.43 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.Y1UwFaWj4E/E---3.1_22830.p -m 16384 -t 240 0.29/0.48 % (23038)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_22830 for (2399ds/183Mi) 0.29/0.48 % (23041)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_22830 for (2399ds/2Mi) 0.29/0.48 % (23039)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_22830 for (2399ds/4Mi) 0.29/0.48 % (23040)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_22830 for (2399ds/27Mi) 0.29/0.48 % (23042)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_22830 for (2399ds/2Mi) 0.29/0.48 % (23043)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_22830 for (2399ds/275Mi) 0.29/0.48 % (23044)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_22830 for (2399ds/18Mi) 0.29/0.49 % (23041)Instruction limit reached! 0.29/0.49 % (23041)------------------------------ 0.29/0.49 % (23041)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.49 % (23041)Termination reason: Unknown 0.29/0.49 % (23041)Termination phase: shuffling 0.29/0.49 0.29/0.49 % (23041)Memory used [KB]: 1663 0.29/0.49 % (23041)Time elapsed: 0.004 s 0.29/0.49 % (23041)Instructions burned: 2 (million) 0.29/0.49 % (23041)------------------------------ 0.29/0.49 % (23041)------------------------------ 0.29/0.49 % (23042)Instruction limit reached! 0.29/0.49 % (23042)------------------------------ 0.29/0.49 % (23042)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.49 % (23042)Termination reason: Unknown 0.29/0.49 % (23042)Termination phase: shuffling 0.29/0.49 0.29/0.49 % (23042)Memory used [KB]: 1663 0.29/0.49 % (23042)Time elapsed: 0.004 s 0.29/0.49 % (23042)Instructions burned: 2 (million) 0.29/0.49 % (23042)------------------------------ 0.29/0.49 % (23042)------------------------------ 0.29/0.49 % (23039)Instruction limit reached! 0.29/0.49 % (23039)------------------------------ 0.29/0.49 % (23039)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.49 % (23039)Termination reason: Unknown 0.29/0.49 % (23039)Termination phase: shuffling 0.29/0.49 0.29/0.49 % (23039)Memory used [KB]: 1663 0.29/0.49 % (23039)Time elapsed: 0.005 s 0.29/0.49 % (23039)Instructions burned: 4 (million) 0.29/0.49 % (23039)------------------------------ 0.29/0.49 % (23039)------------------------------ 0.29/0.50 % (23044)Instruction limit reached! 0.29/0.50 % (23044)------------------------------ 0.29/0.50 % (23044)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.50 % (23044)Termination reason: Unknown 0.29/0.50 % (23044)Termination phase: shuffling 0.29/0.50 0.29/0.50 % (23044)Memory used [KB]: 2046 0.29/0.50 % (23044)Time elapsed: 0.014 s 0.29/0.50 % (23044)Instructions burned: 18 (million) 0.29/0.50 % (23044)------------------------------ 0.29/0.50 % (23044)------------------------------ 0.29/0.50 % (23040)Instruction limit reached! 0.29/0.50 % (23040)------------------------------ 0.29/0.50 % (23040)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.50 % (23040)Termination reason: Unknown 0.29/0.50 % (23040)Termination phase: shuffling 0.29/0.50 0.29/0.50 % (23040)Memory used [KB]: 2302 0.29/0.50 % (23040)Time elapsed: 0.017 s 0.29/0.50 % (23040)Instructions burned: 27 (million) 0.29/0.50 % (23040)------------------------------ 0.29/0.50 % (23040)------------------------------ 0.29/0.50 % (23052)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_22830 for (2399ds/37Mi) 0.29/0.50 % (23051)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_22830 for (2399ds/3Mi) 0.29/0.50 % (23053)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_22830 for (2399ds/15Mi) 0.29/0.50 % (23051)Instruction limit reached! 0.29/0.50 % (23051)------------------------------ 0.29/0.50 % (23051)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.50 % (23051)Termination reason: Unknown 0.29/0.50 % (23051)Termination phase: shuffling 0.29/0.50 0.29/0.50 % (23051)Memory used [KB]: 1663 0.29/0.50 % (23051)Time elapsed: 0.004 s 0.29/0.50 % (23051)Instructions burned: 4 (million) 0.29/0.50 % (23051)------------------------------ 0.29/0.50 % (23051)------------------------------ 0.29/0.51 % (23058)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_22830 for (2399ds/3Mi) 0.29/0.51 % (23053)Instruction limit reached! 0.29/0.51 % (23053)------------------------------ 0.29/0.51 % (23053)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.51 % (23053)Termination reason: Unknown 0.29/0.51 % (23053)Termination phase: shuffling 0.29/0.51 0.29/0.51 % (23053)Memory used [KB]: 2046 0.29/0.51 % (23053)Time elapsed: 0.012 s 0.29/0.51 % (23053)Instructions burned: 15 (million) 0.29/0.51 % (23053)------------------------------ 0.29/0.51 % (23053)------------------------------ 0.29/0.51 % (23058)Instruction limit reached! 0.29/0.51 % (23058)------------------------------ 0.29/0.51 % (23058)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.51 % (23058)Termination reason: Unknown 0.29/0.51 % (23058)Termination phase: shuffling 0.29/0.51 0.29/0.51 % (23058)Memory used [KB]: 1663 0.29/0.51 % (23058)Time elapsed: 0.004 s 0.29/0.51 % (23058)Instructions burned: 3 (million) 0.29/0.51 % (23058)------------------------------ 0.29/0.51 % (23058)------------------------------ 0.29/0.51 % (23060)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_22830 for (2399ds/1041Mi) 0.29/0.52 % (23064)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_22830 for (2399ds/7Mi) 0.29/0.52 % (23052)Instruction limit reached! 0.29/0.52 % (23052)------------------------------ 0.29/0.52 % (23052)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.52 % (23052)Termination reason: Unknown 0.29/0.52 % (23052)Termination phase: shuffling 0.29/0.52 0.29/0.52 % (23052)Memory used [KB]: 2558 0.29/0.52 % (23052)Time elapsed: 0.022 s 0.29/0.52 % (23052)Instructions burned: 38 (million) 0.29/0.52 % (23052)------------------------------ 0.29/0.52 % (23052)------------------------------ 0.29/0.53 % (23064)Instruction limit reached! 0.29/0.53 % (23064)------------------------------ 0.29/0.53 % (23064)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.53 % (23064)Termination reason: Unknown 0.29/0.53 % (23064)Termination phase: shuffling 0.29/0.53 0.29/0.53 % (23064)Memory used [KB]: 1791 0.29/0.53 % (23064)Time elapsed: 0.007 s 0.29/0.53 % (23064)Instructions burned: 8 (million) 0.29/0.53 % (23064)------------------------------ 0.29/0.53 % (23064)------------------------------ 0.29/0.53 % (23069)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_22830 for (2399ds/16Mi) 0.29/0.53 % (23070)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_22830 for (2399ds/3Mi) 0.70/0.53 % (23070)Instruction limit reached! 0.70/0.53 % (23070)------------------------------ 0.70/0.53 % (23070)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.70/0.53 % (23070)Termination reason: Unknown 0.70/0.53 % (23070)Termination phase: shuffling 0.70/0.53 0.70/0.53 % (23070)Memory used [KB]: 1663 0.70/0.53 % (23070)Time elapsed: 0.005 s 0.70/0.53 % (23070)Instructions burned: 4 (million) 0.70/0.53 % (23070)------------------------------ 0.70/0.53 % (23070)------------------------------ 0.70/0.54 % (23069)Instruction limit reached! 0.70/0.54 % (23069)------------------------------ 0.70/0.54 % (23069)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.70/0.54 % (23069)Termination reason: Unknown 0.70/0.54 % (23069)Termination phase: shuffling 0.70/0.54 0.70/0.54 % (23069)Memory used [KB]: 2046 0.70/0.54 % (23069)Time elapsed: 0.011 s 0.70/0.54 % (23069)Instructions burned: 17 (million) 0.70/0.54 % (23069)------------------------------ 0.70/0.54 % (23069)------------------------------ 0.70/0.55 % (23076)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_22830 for (2399ds/3Mi) 0.70/0.55 % (23077)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_22830 for (2399ds/7Mi) 0.70/0.55 % (23076)Instruction limit reached! 0.70/0.55 % (23076)------------------------------ 0.70/0.55 % (23076)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.70/0.55 % (23076)Termination reason: Unknown 0.70/0.55 % (23076)Termination phase: shuffling 0.70/0.55 0.70/0.55 % (23076)Memory used [KB]: 1663 0.70/0.55 % (23076)Time elapsed: 0.005 s 0.70/0.55 % (23076)Instructions burned: 4 (million) 0.70/0.55 % (23076)------------------------------ 0.70/0.55 % (23076)------------------------------ 0.77/0.55 % (23078)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_22830 for (2398ds/3Mi) 0.77/0.55 % (23077)Instruction limit reached! 0.77/0.55 % (23077)------------------------------ 0.77/0.55 % (23077)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.77/0.55 % (23077)Termination reason: Unknown 0.77/0.55 % (23077)Termination phase: shuffling 0.77/0.55 0.77/0.55 % (23077)Memory used [KB]: 1791 0.77/0.55 % (23077)Time elapsed: 0.006 s 0.77/0.55 % (23077)Instructions burned: 8 (million) 0.77/0.55 % (23077)------------------------------ 0.77/0.55 % (23077)------------------------------ 0.77/0.55 % (23078)Instruction limit reached! 0.77/0.55 % (23078)------------------------------ 0.77/0.55 % (23078)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.77/0.55 % (23078)Termination reason: Unknown 0.77/0.55 % (23078)Termination phase: shuffling 0.77/0.55 0.77/0.55 % (23078)Memory used [KB]: 1663 0.77/0.55 % (23078)Time elapsed: 0.005 s 0.77/0.55 % (23078)Instructions burned: 4 (million) 0.77/0.55 % (23078)------------------------------ 0.77/0.55 % (23078)------------------------------ 0.77/0.56 % (23080)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_22830 for (2398ds/4Mi) 0.77/0.56 % (23080)Instruction limit reached! 0.77/0.56 % (23080)------------------------------ 0.77/0.56 % (23080)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.77/0.56 % (23080)Termination reason: Unknown 0.77/0.56 % (23080)Termination phase: shuffling 0.77/0.56 0.77/0.56 % (23080)Memory used [KB]: 1663 0.77/0.56 % (23080)Time elapsed: 0.005 s 0.77/0.56 % (23080)Instructions burned: 4 (million) 0.77/0.56 % (23080)------------------------------ 0.77/0.56 % (23080)------------------------------ 0.77/0.57 % (23087)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_22830 for (2398ds/18Mi) 0.77/0.57 % (23038)Instruction limit reached! 0.77/0.57 % (23038)------------------------------ 0.77/0.57 % (23038)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.77/0.57 % (23038)Termination reason: Unknown 0.77/0.57 % (23038)Termination phase: Property scanning 0.77/0.57 0.77/0.57 % (23038)Memory used [KB]: 3198 0.77/0.57 % (23038)Time elapsed: 0.084 s 0.77/0.57 % (23038)Instructions burned: 184 (million) 0.77/0.57 % (23038)------------------------------ 0.77/0.57 % (23038)------------------------------ 0.77/0.57 % (23088)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_22830 for (2398ds/710Mi) 0.77/0.57 % (23091)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_22830 for (2398ds/6Mi) 0.77/0.57 % (23091)Instruction limit reached! 0.77/0.57 % (23091)------------------------------ 0.77/0.57 % (23091)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.77/0.57 % (23091)Termination reason: Unknown 0.77/0.57 % (23091)Termination phase: shuffling 0.77/0.57 0.77/0.57 % (23091)Memory used [KB]: 1791 0.77/0.57 % (23091)Time elapsed: 0.006 s 0.77/0.57 % (23091)Instructions burned: 6 (million) 0.77/0.57 % (23091)------------------------------ 0.77/0.57 % (23091)------------------------------ 0.77/0.57 % (23092)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_22830 for (2398ds/902Mi) 0.77/0.57 % (23087)Instruction limit reached! 0.77/0.57 % (23087)------------------------------ 0.77/0.57 % (23087)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.77/0.57 % (23087)Termination reason: Unknown 0.77/0.57 % (23087)Termination phase: shuffling 0.77/0.57 0.77/0.57 % (23087)Memory used [KB]: 2046 0.77/0.57 % (23087)Time elapsed: 0.012 s 0.77/0.57 % (23087)Instructions burned: 18 (million) 0.77/0.57 % (23087)------------------------------ 0.77/0.57 % (23087)------------------------------ 0.77/0.58 % (23093)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_22830 for (2398ds/21Mi) 0.77/0.58 % (23093)Instruction limit reached! 0.77/0.58 % (23093)------------------------------ 0.77/0.58 % (23093)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.77/0.58 % (23093)Termination reason: Unknown 0.77/0.58 % (23093)Termination phase: shuffling 0.77/0.58 0.77/0.58 % (23093)Memory used [KB]: 2046 0.77/0.58 % (23093)Time elapsed: 0.008 s 0.77/0.58 % (23093)Instructions burned: 22 (million) 0.77/0.58 % (23093)------------------------------ 0.77/0.58 % (23093)------------------------------ 0.77/0.59 % (23096)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_22830 for (2398ds/5Mi) 0.77/0.59 % (23096)Instruction limit reached! 0.77/0.59 % (23096)------------------------------ 0.77/0.59 % (23096)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.77/0.59 % (23096)Termination reason: Unknown 0.77/0.59 % (23096)Termination phase: shuffling 0.77/0.59 0.77/0.59 % (23096)Memory used [KB]: 1791 0.77/0.59 % (23096)Time elapsed: 0.005 s 0.77/0.59 % (23096)Instructions burned: 7 (million) 0.77/0.59 % (23096)------------------------------ 0.77/0.59 % (23096)------------------------------ 0.77/0.59 % (23101)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_22830 for (2398ds/6Mi) 0.77/0.59 % (23108)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_22830 for (2398ds/377Mi) 0.77/0.59 % (23101)Instruction limit reached! 0.77/0.59 % (23101)------------------------------ 0.77/0.59 % (23101)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.77/0.59 % (23101)Termination reason: Unknown 0.77/0.59 % (23101)Termination phase: shuffling 0.77/0.59 0.77/0.59 % (23101)Memory used [KB]: 1791 0.77/0.59 % (23101)Time elapsed: 0.006 s 0.77/0.59 % (23101)Instructions burned: 7 (million) 0.77/0.59 % (23101)------------------------------ 0.77/0.59 % (23101)------------------------------ 0.77/0.60 % (23112)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_22830 for (2398ds/779Mi) 0.77/0.61 % (23116)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_22830 for (2398ds/19Mi) 0.77/0.61 % (23116)Instruction limit reached! 0.77/0.61 % (23116)------------------------------ 0.77/0.61 % (23116)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.77/0.61 % (23116)Termination reason: Unknown 0.77/0.61 % (23116)Termination phase: shuffling 0.77/0.61 0.77/0.61 % (23116)Memory used [KB]: 2046 0.77/0.61 % (23116)Time elapsed: 0.009 s 0.77/0.61 % (23116)Instructions burned: 20 (million) 0.77/0.61 % (23116)------------------------------ 0.77/0.61 % (23116)------------------------------ 0.77/0.61 % (23043)Instruction limit reached! 0.77/0.61 % (23043)------------------------------ 0.77/0.61 % (23043)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.77/0.61 % (23043)Termination reason: Unknown 0.77/0.61 % (23043)Termination phase: Saturation 0.77/0.61 0.77/0.61 % (23043)Memory used [KB]: 10874 0.77/0.61 % (23043)Time elapsed: 0.133 s 0.77/0.61 % (23043)Instructions burned: 277 (million) 0.77/0.61 % (23043)------------------------------ 0.77/0.61 % (23043)------------------------------ 0.77/0.62 % (23124)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_22830 for (2398ds/879Mi) 0.77/0.63 % (23125)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_22830 for (2398ds/17Mi) 1.15/0.63 % (23125)Instruction limit reached! 1.15/0.63 % (23125)------------------------------ 1.15/0.63 % (23125)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.15/0.63 % (23125)Termination reason: Unknown 1.15/0.63 % (23125)Termination phase: shuffling 1.15/0.63 1.15/0.63 % (23125)Memory used [KB]: 2046 1.15/0.63 % (23125)Time elapsed: 0.007 s 1.15/0.63 % (23125)Instructions burned: 19 (million) 1.15/0.63 % (23125)------------------------------ 1.15/0.63 % (23125)------------------------------ 1.15/0.64 % (23137)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_22830 for (2398ds/3Mi) 1.15/0.64 % (23137)Instruction limit reached! 1.15/0.64 % (23137)------------------------------ 1.15/0.64 % (23137)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.15/0.64 % (23137)Termination reason: Unknown 1.15/0.64 % (23137)Termination phase: shuffling 1.15/0.64 1.15/0.64 % (23137)Memory used [KB]: 1663 1.15/0.64 % (23137)Time elapsed: 0.003 s 1.15/0.64 % (23137)Instructions burned: 3 (million) 1.15/0.64 % (23137)------------------------------ 1.15/0.64 % (23137)------------------------------ 1.15/0.65 % (23146)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_22830 for (2397ds/30Mi) 1.15/0.66 % (23146)Instruction limit reached! 1.15/0.66 % (23146)------------------------------ 1.15/0.66 % (23146)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.15/0.66 % (23146)Termination reason: Unknown 1.15/0.66 % (23146)Termination phase: shuffling 1.15/0.66 1.15/0.66 % (23146)Memory used [KB]: 2430 1.15/0.66 % (23146)Time elapsed: 0.012 s 1.15/0.66 % (23146)Instructions burned: 33 (million) 1.15/0.66 % (23146)------------------------------ 1.15/0.66 % (23146)------------------------------ 1.15/0.67 % (23152)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_22830 for (2397ds/127Mi) 1.24/0.70 % (23108)Instruction limit reached! 1.24/0.70 % (23108)------------------------------ 1.24/0.70 % (23108)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.24/0.70 % (23108)Termination reason: Unknown 1.24/0.70 % (23108)Termination phase: Saturation 1.24/0.70 1.24/0.70 % (23108)Memory used [KB]: 9594 1.24/0.70 % (23108)Time elapsed: 0.112 s 1.24/0.70 % (23108)Instructions burned: 378 (million) 1.24/0.70 % (23108)------------------------------ 1.24/0.70 % (23108)------------------------------ 1.24/0.71 % (23152)Instruction limit reached! 1.24/0.71 % (23152)------------------------------ 1.24/0.71 % (23152)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.24/0.71 % (23152)Termination reason: Unknown 1.24/0.71 % (23152)Termination phase: Property scanning 1.24/0.71 1.24/0.71 % (23152)Memory used [KB]: 3070 1.24/0.71 % (23152)Time elapsed: 0.038 s 1.24/0.71 % (23152)Instructions burned: 127 (million) 1.24/0.71 % (23152)------------------------------ 1.24/0.71 % (23152)------------------------------ 1.24/0.73 % (23092)First to succeed. 1.24/0.73 % (23175)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_22830 for (2397ds/100Mi) 1.24/0.73 % (23092)Refutation found. Thanks to Tanya! 1.24/0.73 % SZS status Theorem for E---3.1_22830 1.24/0.73 % SZS output start Proof for E---3.1_22830 1.24/0.73 thf(func_def_0, type, in: $i > $i > $o). 1.24/0.73 thf(func_def_1, type, exu: ($i > $o) > $o). 1.24/0.73 thf(func_def_6, type, setadjoin: $i > $i > $i). 1.24/0.73 thf(func_def_8, type, powerset: $i > $i). 1.24/0.73 thf(func_def_10, type, setunion: $i > $i). 1.24/0.73 thf(func_def_19, type, descr: ($i > $o) > $i). 1.24/0.73 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 1.24/0.73 thf(func_def_26, type, prop2set: $o > $i). 1.24/0.73 thf(func_def_36, type, nonempty: $i > $o). 1.24/0.73 thf(func_def_69, type, set2prop: $i > $o). 1.24/0.73 thf(func_def_88, type, subset: $i > $i > $o). 1.24/0.73 thf(func_def_89, type, disjoint: $i > $i > $o). 1.24/0.73 thf(func_def_90, type, setsmeet: $i > $i > $o). 1.24/0.73 thf(func_def_114, type, binunion: $i > $i > $i). 1.24/0.73 thf(func_def_122, type, binintersect: $i > $i > $i). 1.24/0.73 thf(func_def_135, type, regular: $i > $o). 1.24/0.73 thf(func_def_136, type, setminus: $i > $i > $i). 1.24/0.73 thf(func_def_147, type, symdiff: $i > $i > $i). 1.24/0.73 thf(func_def_153, type, iskpair: $i > $o). 1.24/0.73 thf(func_def_158, type, kpair: $i > $i > $i). 1.24/0.74 thf(func_def_160, type, cartprod: $i > $i > $i). 1.24/0.74 thf(func_def_177, type, singleton: $i > $o). 1.24/0.74 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 1.24/0.74 thf(func_def_184, type, atmost1p: $i > $o). 1.24/0.74 thf(func_def_185, type, atleast2p: $i > $o). 1.24/0.74 thf(func_def_186, type, atmost2p: $i > $o). 1.24/0.74 thf(func_def_187, type, upairsetp: $i > $o). 1.24/0.74 thf(func_def_191, type, kfst: $i > $i). 1.24/0.74 thf(func_def_203, type, ksnd: $i > $i). 1.24/0.74 thf(func_def_213, type, breln: $i > $i > $i > $o). 1.24/0.74 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 1.24/0.74 thf(func_def_222, type, func: $i > $i > $i > $o). 1.24/0.74 thf(func_def_223, type, funcSet: $i > $i > $i). 1.24/0.74 thf(func_def_226, type, ap: $i > $i > $i > $i > $i). 1.24/0.74 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i). 1.24/0.74 thf(func_def_259, type, if: $i > $o > $i > $i > $i). 1.24/0.74 thf(func_def_323, type, breln1: $i > $i > $o). 1.24/0.74 thf(func_def_325, type, breln1Set: $i > $i). 1.24/0.74 thf(func_def_327, type, transitive: $i > $i > $o). 1.24/0.74 thf(func_def_328, type, antisymmetric: $i > $i > $o). 1.24/0.74 thf(func_def_329, type, reflexive: $i > $i > $o). 1.24/0.74 thf(func_def_330, type, refltransitive: $i > $i > $o). 1.24/0.74 thf(func_def_331, type, refllinearorder: $i > $i > $o). 1.24/0.74 thf(func_def_332, type, reflwellordering: $i > $i > $o). 1.24/0.74 thf(func_def_338, type, breln1invset: $i > $i > $i). 1.24/0.74 thf(func_def_342, type, breln1compset: $i > $i > $i > $i). 1.24/0.74 thf(func_def_360, type, image1: $i > ($i > $i) > $i). 1.24/0.74 thf(func_def_364, type, injective: $i > $i > $i > $o). 1.24/0.74 thf(func_def_365, type, injFuncSet: $i > $i > $i). 1.24/0.74 thf(func_def_369, type, surjective: $i > $i > $i > $o). 1.24/0.74 thf(func_def_370, type, surjFuncSet: $i > $i > $i). 1.24/0.74 thf(func_def_378, type, omegaS: $i > $i). 1.24/0.74 thf(func_def_382, type, peano3: $i > $i > $i > $o). 1.24/0.74 thf(func_def_383, type, peano4: $i > $i > $i > $o). 1.24/0.74 thf(func_def_384, type, peano5: $i > $i > $i > $o). 1.24/0.74 thf(func_def_386, type, peano: $i > $i > $i > $o). 1.24/0.74 thf(func_def_387, type, transitiveset: $i > $o). 1.24/0.74 thf(func_def_392, type, stricttotalorderedByIn: $i > $o). 1.24/0.74 thf(func_def_393, type, wellorderedByIn: $i > $o). 1.24/0.74 thf(func_def_394, type, ordinal: $i > $o). 1.24/0.74 thf(func_def_395, type, limitOrdinal: $i > $o). 1.24/0.74 thf(func_def_400, type, succOrdinal: $i > $o). 1.24/0.74 thf(func_def_418, type, sP1: $i > $i > $i > $i > $o). 1.24/0.74 thf(func_def_420, type, sP3: $i > $i > $i > $o). 1.24/0.74 thf(func_def_422, type, sP5: $i > $i > $i > $o > $o). 1.24/0.74 thf(func_def_423, type, sP6: $i > $i > $o). 1.24/0.74 thf(func_def_424, type, sP7: $i > $o). 1.24/0.74 thf(func_def_425, type, sP8: $i > $i > $o). 1.24/0.74 thf(func_def_426, type, sP9: $i > $i > $o). 1.24/0.74 thf(func_def_430, type, sP13: $i > $i > $i > $o). 1.24/0.74 thf(func_def_439, type, sK22: $i > $i). 1.24/0.74 thf(func_def_443, type, sK26: $i > $i). 1.24/0.74 thf(func_def_463, type, sK46: $i > $o). 1.24/0.74 thf(func_def_464, type, sK47: ($i > $i) > $i > $i > $i). 1.24/0.74 thf(func_def_467, type, sK50: $i > $i). 1.24/0.74 thf(func_def_484, type, sK67: $i > $i > $i). 1.24/0.74 thf(func_def_485, type, sK68: ($i > $o) > $i). 1.24/0.74 thf(func_def_486, type, sK69: ($i > $o) > $i). 1.24/0.74 thf(func_def_487, type, sK70: $i > $o). 1.24/0.74 thf(func_def_496, type, sK79: $o > $i > $i > $i). 1.24/0.74 thf(func_def_500, type, sK83: $i > $o). 1.24/0.74 thf(func_def_507, type, sK90: $i > $o). 1.24/0.74 thf(func_def_508, type, sK91: $i > $i). 1.24/0.74 thf(func_def_509, type, sK92: ($i > $o) > $i). 1.24/0.74 thf(func_def_513, type, sK96: $i > $o). 1.24/0.74 thf(func_def_523, type, sK106: $i > $o). 1.24/0.74 thf(func_def_526, type, sK109: $i > ($i > $o) > $i). 1.24/0.74 thf(func_def_527, type, sK110: $i > ($i > $o) > $i). 1.24/0.74 thf(func_def_532, type, sK115: $i > $i > $i > $i > $i). 1.24/0.74 thf(func_def_533, type, sK116: $i > $i > $i > $i > $i). 1.24/0.74 thf(func_def_534, type, sK117: $i > $i > $i > $i > $i). 1.24/0.74 thf(func_def_535, type, sK118: $i > $i > $i > $i > $i). 1.24/0.74 thf(func_def_544, type, sK127: $i > $i > $i > $i). 1.24/0.74 thf(func_def_550, type, sK133: $i > $i > $i). 1.24/0.74 thf(func_def_572, type, sK155: $i > $i > $i). 1.24/0.74 thf(func_def_591, type, sK174: ($i > $o) > $i > $i > $i > $i). 1.24/0.74 thf(func_def_592, type, sK175: ($i > $o) > $i > $i > $i > $i). 1.24/0.74 thf(func_def_596, type, sK179: $i > $o). 1.24/0.74 thf(func_def_605, type, sK188: $i > $i). 1.24/0.74 thf(func_def_608, type, sK191: $i > $i > $o). 1.24/0.74 thf(func_def_612, type, sK195: $i > $i). 1.24/0.74 thf(func_def_615, type, sK198: $i > $i). 1.24/0.74 thf(func_def_616, type, sK199: $i > $o). 1.24/0.74 thf(func_def_641, type, sK224: $i > $i > $i > $i). 1.24/0.74 thf(func_def_642, type, sK225: $i > $i > $i > $i). 1.24/0.74 thf(func_def_643, type, sK226: $i > $i > $i > $i). 1.24/0.74 thf(func_def_644, type, sK227: $i > $i > $i > $i). 1.24/0.74 thf(func_def_661, type, sK244: $i > $o). 1.24/0.74 thf(func_def_664, type, sK247: $i > $i > ($i > $o) > $i). 1.24/0.74 thf(func_def_665, type, sK248: $i > $o). 1.24/0.74 thf(func_def_671, type, sK254: $i > $o). 1.24/0.74 thf(func_def_673, type, sK256: $i > ($i > $o) > $i). 1.24/0.74 thf(func_def_726, type, sK309: $i > $i > $o). 1.24/0.74 thf(func_def_744, type, sK327: $i > $i > $i). 1.24/0.74 thf(func_def_755, type, sK338: $i > $o). 1.24/0.74 thf(func_def_761, type, sK344: $i > $i > $i > $i). 1.24/0.74 thf(func_def_762, type, sK345: $i > $i > $i > $i). 1.24/0.74 thf(func_def_770, type, sK353: $i > $i > $i). 1.24/0.74 thf(func_def_771, type, sK354: $i > $i > $i). 1.24/0.74 thf(func_def_772, type, sK355: $i > $i > $i). 1.24/0.74 thf(func_def_773, type, sK356: $i > $i > $i). 1.24/0.74 thf(func_def_774, type, sK357: $i > $i > $i > $i). 1.24/0.74 thf(func_def_775, type, sK358: $i > $i). 1.24/0.74 thf(func_def_776, type, sK359: $i > $i). 1.24/0.74 thf(func_def_777, type, sK360: $i > $i). 1.24/0.74 thf(func_def_778, type, sK361: $i > $i). 1.24/0.74 thf(func_def_779, type, sK362: $i > $i > $i). 1.24/0.74 thf(func_def_780, type, sK363: $i > $i > $i > $i). 1.24/0.74 thf(func_def_781, type, sK364: $i > $i > $i > $i). 1.24/0.74 thf(func_def_782, type, sK365: $i > $i > $i). 1.24/0.74 thf(func_def_783, type, sK366: $i > $i > $i). 1.24/0.74 thf(func_def_785, type, sK368: $i > $i). 1.24/0.74 thf(func_def_786, type, sK369: $i > $i). 1.24/0.74 thf(func_def_787, type, sK370: $i > $i). 1.24/0.74 thf(func_def_788, type, sK371: $i > $i > $i). 1.24/0.74 thf(func_def_805, type, sK388: ($i > $o) > $i > $i). 1.24/0.74 thf(func_def_807, type, sK390: $i > $o). 1.24/0.74 thf(func_def_809, type, sK392: $i > $i > $o). 1.24/0.74 thf(func_def_812, type, sK395: $i > ($i > $o) > $i). 1.24/0.74 thf(func_def_813, type, sK396: $i > $o). 1.24/0.74 thf(func_def_828, type, sK411: $i > $i). 1.24/0.74 thf(func_def_829, type, sK412: ($i > $i) > $i > $i > $i). 1.24/0.74 thf(func_def_842, type, sK425: $i > $i > $o). 1.24/0.74 thf(func_def_866, type, sK449: $i > $i). 1.24/0.74 thf(func_def_877, type, sK460: $i > $o). 1.24/0.74 thf(func_def_878, type, sK461: $i > $o). 1.24/0.74 thf(func_def_879, type, sK462: ($i > $o) > ($i > $o) > $i > $i > $i). 1.24/0.74 thf(func_def_880, type, sK463: ($i > $o) > ($i > $o) > $i > $i > $i). 1.24/0.74 thf(func_def_884, type, sK467: $i > $i). 1.24/0.74 thf(func_def_885, type, sK468: $i > $i > $i > $i). 1.24/0.74 thf(func_def_895, type, sK478: $i > $o). 1.24/0.74 thf(func_def_902, type, sK485: $i > $i). 1.24/0.74 thf(func_def_904, type, sK487: $i > ($i > $i) > $i > $i). 1.24/0.74 thf(func_def_907, type, sK490: $i > $o). 1.24/0.74 thf(func_def_922, type, sK505: $i > $o). 1.24/0.74 thf(func_def_934, type, sK517: $i > $o). 1.24/0.74 thf(func_def_941, type, sK524: $i > $i > $o). 1.24/0.74 thf(func_def_946, type, sK529: $i > $i). 1.24/0.74 thf(func_def_950, type, sK533: $i > $i > ($i > $i) > $i). 1.24/0.74 thf(func_def_951, type, sK534: $i > $i > $i > ($i > $i) > $i). 1.24/0.74 thf(func_def_978, type, sK561: $i > $i > $i > $i > $i). 1.24/0.74 thf(func_def_983, type, sK566: ($i > $o) > ($i > $o) > $i). 1.24/0.74 thf(func_def_984, type, sK567: ($i > $o) > ($i > $o) > $i). 1.24/0.74 thf(func_def_985, type, sK568: $i > $o). 1.24/0.74 thf(func_def_986, type, sK569: $i > $o). 1.24/0.74 thf(func_def_995, type, sK578: $i > $i > $i > $i). 1.24/0.74 thf(func_def_996, type, sK579: $i > $i > $i > $i). 1.24/0.74 thf(func_def_997, type, sK580: $i > $o). 1.24/0.74 thf(func_def_999, type, sK582: $i > ($i > $o) > $i). 1.24/0.74 thf(func_def_1022, type, sK605: ($i > $i) > $i > $i > $i). 1.24/0.74 thf(func_def_1025, type, sK608: $i > $i). 1.24/0.74 thf(func_def_1034, type, sK617: $i > $i > $o). 1.24/0.74 thf(func_def_1044, type, sK627: $i > $i > $o). 1.24/0.74 thf(func_def_1046, type, sK629: $i > $i). 1.24/0.74 thf(func_def_1049, type, sK632: $i > ($i > $i > $o) > $i > $i). 1.24/0.74 thf(func_def_1061, type, sK644: $o > $i > $i > $i > $i > $i > $i). 1.24/0.74 thf(func_def_1062, type, sK645: $i > $i > $o). 1.24/0.74 thf(func_def_1100, type, sK683: $i > $i). 1.24/0.74 thf(func_def_1110, type, sK693: $i > $o). 1.24/0.74 thf(func_def_1112, type, sK695: $i > ($i > $o) > $i). 1.24/0.74 thf(func_def_1118, type, sK701: $i > $i > $i > $i). 1.24/0.74 thf(func_def_1119, type, sK702: $i > $i > $i > $i). 1.24/0.74 thf(func_def_1143, type, sK726: $i > $o). 1.24/0.74 thf(func_def_1146, type, sK729: $i > ($i > $o) > $i). 1.24/0.74 thf(func_def_1147, type, sK730: $i > ($i > $o) > $i). 1.24/0.74 thf(func_def_1150, type, sK733: $i > $o). 1.24/0.74 thf(func_def_1153, type, sK736: $i > ($i > $o) > $i). 1.24/0.74 thf(func_def_1156, type, sK739: $i > $o). 1.24/0.74 thf(func_def_1176, type, sK759: $i > $i). 1.24/0.74 thf(func_def_1199, type, sK782: $i > $i > $o). 1.24/0.74 thf(func_def_1200, type, sK783: $i > $i). 1.24/0.74 thf(func_def_1201, type, sK784: $i > $i). 1.24/0.74 thf(func_def_1202, type, sK785: ($i > $i > $o) > $i > $i). 1.24/0.74 thf(func_def_1203, type, sK786: ($i > $i > $o) > $i > $i). 1.24/0.74 thf(func_def_1204, type, sK787: $i > ($i > $i > $o) > $i > $i). 1.24/0.74 thf(func_def_1207, type, sK790: $i > $i). 1.24/0.74 thf(func_def_1208, type, sK791: ($i > $i) > $i > $i > $i). 1.24/0.74 thf(func_def_1209, type, sK792: ($i > $o) > $i > $i > $i). 1.24/0.74 thf(func_def_1210, type, sK793: ($i > $o) > $i > $i > $i). 1.24/0.74 thf(func_def_1213, type, sK796: $i > $o). 1.24/0.74 thf(func_def_1215, type, sK798: ($i > $o) > $i). 1.24/0.74 thf(func_def_1216, type, sK799: $i > $o). 1.24/0.74 thf(func_def_1217, type, sK800: $i > $i). 1.24/0.74 thf(func_def_1220, type, sK803: $i > $i > ($i > $i) > $i). 1.24/0.74 thf(func_def_1223, type, sK806: ($i > $o) > ($i > $o) > $i). 1.24/0.74 thf(func_def_1224, type, sK807: ($i > $o) > ($i > $o) > $i). 1.24/0.74 thf(func_def_1225, type, sK808: $i > $o). 1.24/0.74 thf(func_def_1226, type, sK809: $i > $o). 1.24/0.74 thf(func_def_1250, type, sK833: $i > $i > $i). 1.24/0.74 thf(func_def_1277, type, sK860: $i > $i > $i > $i > $i). 1.24/0.74 thf(func_def_1291, type, sK874: $i > $i > $i). 1.24/0.74 thf(func_def_1292, type, sK875: $i > $i > $i). 1.24/0.74 thf(func_def_1296, type, sK879: $i > $o). 1.24/0.74 thf(func_def_1297, type, sK880: $i > $i). 1.24/0.74 thf(func_def_1298, type, sK881: ($i > $o) > $i). 1.24/0.74 thf(func_def_1300, type, sK883: $i > $o). 1.24/0.74 thf(func_def_1309, type, sK892: $i > ($i > $i) > $i > $i). 1.24/0.74 thf(func_def_1311, type, sK894: $i > $i). 1.24/0.74 thf(func_def_1314, type, sK897: $i > $i > $i). 1.24/0.74 thf(func_def_1322, type, sK905: $i > $i > $i). 1.24/0.74 thf(func_def_1345, type, sK928: $i > $i > $i). 1.24/0.74 thf(func_def_1354, type, sK937: ($i > $i) > $i > $i). 1.24/0.74 thf(func_def_1355, type, sK938: $i > ($i > $i) > $i > $i). 1.24/0.74 thf(func_def_1357, type, sK940: $i > $i). 1.24/0.74 thf(func_def_1358, type, sK941: $i > $i). 1.24/0.74 thf(func_def_1359, type, sK942: $i > $i). 1.24/0.74 thf(func_def_1367, type, sK950: ($i > $o) > $i > $i). 1.24/0.74 thf(func_def_1369, type, sK952: $i > $o). 1.24/0.74 thf(func_def_1396, type, sK979: $i > $i > $i > $i > $i > $i). 1.24/0.74 thf(func_def_1408, type, sK991: $i > $i > $i > $i > $i). 1.24/0.74 thf(func_def_1409, type, sK992: $i > $i > $i > $i > $i). 1.24/0.74 thf(func_def_1413, type, sK996: $i > $o). 1.24/0.74 thf(func_def_1415, type, sK998: ($i > $o) > $i > $i > $i > $i). 1.24/0.74 thf(func_def_1416, type, sK999: ($i > $o) > $i > $i > $i > $i). 1.24/0.74 thf(func_def_1418, type, sK1001: $i > $i). 1.24/0.74 thf(func_def_1430, type, sK1013: $i > $i > $i > $i > $i). 1.24/0.74 thf(func_def_1438, type, sK1021: $i > $i). 1.24/0.74 thf(func_def_1442, type, sK1025: $i > $i > ($i > $i) > $i). 1.24/0.74 thf(func_def_1444, type, sK1027: $i > ($i > $o) > $i). 1.24/0.74 thf(func_def_1445, type, sK1028: $i > $o). 1.24/0.74 thf(func_def_1462, type, sK1045: $i > $i). 1.24/0.74 thf(func_def_1475, type, sK1058: $i > $i > $o). 1.24/0.74 thf(func_def_1489, type, sK1072: $i > $o). 1.24/0.74 thf(func_def_1493, type, sK1076: $i > $i). 1.24/0.74 thf(func_def_1508, type, sK1091: $i > ($i > $o) > $i). 1.24/0.74 thf(func_def_1509, type, sK1092: $i > $o). 1.24/0.74 thf(func_def_1525, type, sK1108: ($i > $o) > $i > $i > $i). 1.24/0.74 thf(func_def_1526, type, sK1109: ($i > $o) > $i > $i > $i). 1.24/0.74 thf(func_def_1529, type, sK1112: $i > $o). 1.24/0.74 thf(func_def_1532, type, ph1115: !>[X0: $tType]:(X0)). 1.24/0.74 thf(f5322,plain,( 1.24/0.74 $false), 1.24/0.74 inference(trivial_inequality_removal,[],[f5321])). 1.24/0.74 thf(f5321,plain,( 1.24/0.74 ($true != $true)), 1.24/0.74 inference(superposition,[],[f5304,f3594])). 1.24/0.74 thf(f3594,plain,( 1.24/0.74 (notinself = $true)), 1.24/0.74 inference(cnf_transformation,[],[f1759])). 1.24/0.74 thf(f1759,plain,( 1.24/0.74 (breln1unionI = $true) & (image1E = $true) & (upairset2IR = $true) & (woz13rule1 = $true) & (woz13rule3 = $true) & (prop2setE = $true) & (emptyI = $true) & (breln1invE = $true) & (demorgan2a = $true) & (setminusLsub = $true) & (subPowSU = $true) & (setadjoinOr = $true) & (binintersectRsub = $true) & (binintersectTELcontra = $true) & (breln1unionE = $true) & (setbeta = $true) & (binintersectI = $true) & (inIntersectImpInUnion2 = $true) & (dpsetconstrER = $true) & (setadjoinAx = $true) & (breln1unionIL = $true) & (ap2p = $true) & (cartprodmempair = $true) & (eqimpsubset1 = $true) & (setukpairinjR2 = $true) & (setextsub = $true) & (powersetE1 = $true) & (binunionIL = $true) & (infuncsetfunc = $true) & (setukpairinjL = $true) & (doubleComplementEq = $true) & (emptyinPowerset = $true) & (in__Cong = $true) & (demorgan2a1 = $true) & (powersetsubset = $true) & (subsetemptysetimpeq = $true) & (singletonprop = $true) & (complementTE1 = $true) & (exuE2 = $true) & (upairinpowunion = $true) & (complementT_lem = $true) & (ubforcartprodlem3 = $true) & (demorgan2a2 = $true) & (exuE3u = $true) & (setOfPairsIsBReln1 = $true) & (iftrueorfalse = $true) & (emptyE1 = $true) & (beta1 = $true) & (demorgan2b2 = $true) & (binunionRsub = $true) & (notequalI2 = $true) & (breln1compEex = $true) & (binintersectSubset5 = $true) & (binunionEcases = $true) & (woz2Ex = $true) & (setminusER = $true) & (omegaIndAx = $true) & (injFuncInInjFuncSet = $true) & (binintersectLsub = $true) & (binunionTE = $true) & (setext = $true) & (cartprodpairin = $true) & (omega0Ax = $true) & (brelnall2 = $true) & (setukpairinjL1 = $true) & (woz13rule2 = $true) & (inComplementUnionImpInComplement1 = $true) & (setukpairinjR1 = $true) & (emptysetOrdinal = $true) & (binintersectER = $true) & (cartprodpairsurjEq = $true) & (lam2p = $true) & (breln1compE = $true) & (descrp = $true) & (prop2setI = $true) & (funcext = $true) & (injFuncSetFuncInj = $true) & (eqbreln = $true) & (descr__Cong = $true) & (theprop = $true) & (cartprodsndpairEq = $true) & (breln1unionprop = $true) & (beta2 = $true) & (setukpairinjL2 = $true) & (kpairp = $true) & (omegaSAx = $true) & (setextT = $true) & (cartprodmempaircEq = $true) & (setminusILneg = $true) & (uniqinunit = $true) & (setukpairinjR = $true) & (lamp = $true) & (woz1_1 = $true) & (setunionAx = $true) & (binintersectSubset3 = $true) & (inPowerset = $true) & (notdallE = $true) & (inCongP = $true) & (dpsetconstrEL1 = $true) & (ifSingleton = $true) & (breln1all1 = $true) & (secondinupair = $true) & (powersetI = $true) & (noeltsimpempty = $true) & (upairsetIR = $true) & (notsubsetI = $true) & (upairequniteq = $true) & (iftrueProp2 = $true) & (setadjoinIR = $true) & (woz1_2 = $true) & (symdiffIneg2 = $true) & (powersetI1 = $true) & (dpsetconstrSub = $true) & (ap2apEq1 = $true) & (bs114d = $true) & (cartprodpairmemEL = $true) & (emptysetimpfalse = $true) & (funcextLem = $true) & (quantDeMorgan4 = $true) & (demorgan2b = $true) & (nonemptyI1 = $true) & (setadjoinIL = $true) & (binunionTILcontra = $true) & (kpairsurjEq = $true) & (setadjoinE = $true) & (subset2powerset = $true) & (ubforcartprodlem2 = $true) & (inIntersectImpInUnion = $true) & (binintersectT_lem = $true) & (breln1unionEcases = $true) & (setminusEL = $true) & (symdiffI1 = $true) & (iffalseProp1 = $true) & (demorgan2 = $true) & (exuE1 = $true) & (upairsubunion = $true) & (foundation2 = $true) & (ksndpairEq = $true) & (prop2set2propI = $true) & (exu__Cong = $true) & (funcext2 = $true) & (wellorderingAx = $true) & (cartprodfstin = $true) & (complementTcontraSubset = $true) & (complementImpComplementIntersect = $true) & (dpsetconstrERa = $true) & (image1I = $true) & (exuEu = $true) & (funcGraphProp4 = $true) & (nonemptyImpWitness = $true) & (sepInPowerset = $true) & (complementTnotintersectT = $true) & (setadjoinSub2 = $true) & (omega__Cong = $true) & (exuE3e = $true) & (complementInPowersetComplementIntersect = $true) & (omegaSclos = $true) & (doubleComplementSub2 = $true) & (choice2fnsingleton = $true) & (leftInvIsSurj = $true) & (setminusSubset1 = $true) & (iftrueProp1 = $true) & (brelnall1 = $true) & (singletoninpowunion = $true) & (quantDeMorgan1 = $true) & (ordinalTransSet1 = $true) & (subsetI1 = $true) & (powersetT_lem = $true) & (setunionTransitive = $true) & (emptysetAx = $true) & (lam2lamEq = $true) & (notinself = $true) & (cartprodsndin = $true) & (subsetE = $true) & (binunionT_lem = $true) & (app = $true) & (omegaSp = $true) & (upairsetIL = $true) & (setOfPairsIsBReln = $true) & (breln1invprop = $true) & (funcImageSingleton = $true) & (doubleComplementSub1 = $true) & (apProp = $true) & (breln1SetBreln1 = $true) & (breln1compI = $true) & (contrasubsetT2 = $true) & (eqbreln1 = $true) & (peano0notS = $true) & (inComplementUnionImpNotIn1 = $true) & (ubforcartprodlem1 = $true) & (setunionE = $true) & (binintersectSubset2 = $true) & (cartprodpairmemER = $true) & (notinemptyset = $true) & (demorgan1a = $true) & (exuI1 = $true) & (quantDeMorgan3 = $true) & (vacuousDall = $true) & (subsetE2 = $true) & (notinsingleton = $true) & (subsetI2 = $true) & (emptyinunitempty = $true) & (doubleComplementE1 = $true) & (setukpairinjR12 = $true) & (binunionLsub = $true) & (breln1compprop = $true) & (binunionIR = $true) & (dpsetconstrI = $true) & (transitivesetOp2 = $true) & (peanoSinj = $true) & (upairset2E = $true) & (iftrue = $true) & (setukpairIL = $true) & (surjCantorThm = $true) & (complementTI1 = $true) & (kfstpairEq = $true) & (notequalI1 = $true) & (binunionTIRcontra = $true) & (cartprodmempair1 = $true) & (setadjoin__Cong = $true) & (subsetRefl = $true) & (setextAx = $true) & (image1Ex = $true) & (iffalse = $true) & (theeq = $true) & (quantDeMorgan2 = $true) & (demorgan1b = $true) & (subbreln = $true) & (funcGraphProp2 = $true) & (subbreln1 = $true) & (woz1_4 = $true) & (setunion__Cong = $true) & (dsetconstrEL = $true) & (image1Ex1 = $true) & (surjFuncSetFuncSurj = $true) & (singletonsuniq = $true) & (setukpairIR = $true) & (setunionsingleton = $true) & (binintTransitive = $true) & (binintersectSubset1 = $true) & (disjointsetsI1 = $true) & (eta1 = $true) & (dsetconstrI = $true) & (binunionE = $true) & (breln1unionCommutes = $true) & (eta2 = $true) & (powersetTI1 = $true) & (setminusI = $true) & (eqimpsubset2 = $true) & (ex1I = $true) & (ksndsingleton = $true) & (contraSubsetComplement = $true) & (powersetAx = $true) & (breln1all2 = $true) & (woz13rule4 = $true) & (funcinfuncset = $true) & (woz2B = $true) & (singletoninpowerset = $true) & (emptysetsubset = $true) & (ex1E1 = $true) & (injFuncSetFuncIn = $true) & (upairsetE = $true) & (ordinalMinLem1 = $true) & (powerset__Cong = $true) & (complementSubsetComplementIntersect = $true) & (foundationAx = $true) & (binintersectEL = $true) & (symdiffI2 = $true) & (ap2apEq2 = $true) & (ifp = $true) & (woz13rule0 = $true) & (subsetTrans = $true) & (transitivesetOp1 = $true) & (doubleComplementI1 = $true) & (binintersectTERcontra = $true) & (kfstsingleton = $true) & (setunionsingleton2 = $true) & (eqinunit = $true) & (ordinalTransSet = $true) & (symdiffE = $true) & (dsetconstrER = $true) & (nonemptyE1 = $true) & (setminusT_lem = $true) & (breln1unionIR = $true) & (setminusERneg = $true) & (contrasubsetT = $true) & (complementUnionInPowersetComplement = $true) & (ex1E2 = $true) & (kpairiskpair = $true) & (woz1_5 = $true) & (notdexE = $true) & (sepSubset = $true) & (setoftrueEq = $true) & (symdiffIneg1 = $true) & (setunionI = $true) & (intersectInPowersetIntersectUnions = $true) & (funcGraphProp3 = $true) & ((($true = (in @ sK159 @ sK159)) & ($true = (in @ sK159 @ sK158))) & ((ordinal @ sK158) = $true)) & (woz1_3 = $true) & (setukpairinjR11 = $true) & (powersetE = $true) & (dsetconstr__Cong = $true) & (setminusSubset2 = $true) & (emptysetE = $true) & (singletonsubset = $true) & (woz2A = $true) & (cartprodfstpairEq = $true) & (subsetTI = $true) & (iffalseProp2 = $true) & (dpsetconstrEL2 = $true) & (emptyset__Cong = $true) & (setunionE2 = $true) & (breln1invI = $true) & (contrasubsetT3 = $true) & (setminusIRneg = $true) & (woz2W = $true) & (powersetTE1 = $true) & (exuI2 = $true) & (binunionTEcontra = $true) & (emptyInPowerset = $true) & (exuI3 = $true) & (setunionsingleton1 = $true) & (ex1I2 = $true) & (setunionOrdinalLem1 = $true) & (lamProp = $true) & (contrasubsetT1 = $true) & (replAx = $true) & (notinself2 = $true) & (setminusELneg = $true) & (singletonsswitch = $true) & (surjFuncSetFuncIn = $true) & (inIntersectImpInIntersectUnions = $true) & (demorgan1 = $true) & (image1Equiv = $true) & (nonemptyI = $true) & (setadjoinSub = $true) & (binintersectSubset4 = $true) & (funcGraphProp1 = $true)), 1.24/0.74 inference(skolemisation,[status(esa),new_symbols(skolem,[sK158,sK159])],[f1400,f1758,f1757])). 1.24/0.74 thf(f1757,plain,( 1.24/0.74 ? [X0] : (? [X1] : (($true = (in @ X1 @ X1)) & ($true = (in @ X1 @ X0))) & ((ordinal @ X0) = $true)) => (? [X1] : (($true = (in @ X1 @ X1)) & ((in @ X1 @ sK158) = $true)) & ((ordinal @ sK158) = $true))), 1.24/0.74 introduced(choice_axiom,[])). 1.24/0.74 thf(f1758,plain,( 1.24/0.74 ? [X1] : (($true = (in @ X1 @ X1)) & ((in @ X1 @ sK158) = $true)) => (($true = (in @ sK159 @ sK159)) & ($true = (in @ sK159 @ sK158)))), 1.24/0.74 introduced(choice_axiom,[])). 1.24/0.74 thf(f1400,plain,( 1.24/0.74 (breln1unionI = $true) & (image1E = $true) & (upairset2IR = $true) & (woz13rule1 = $true) & (woz13rule3 = $true) & (prop2setE = $true) & (emptyI = $true) & (breln1invE = $true) & (demorgan2a = $true) & (setminusLsub = $true) & (subPowSU = $true) & (setadjoinOr = $true) & (binintersectRsub = $true) & (binintersectTELcontra = $true) & (breln1unionE = $true) & (setbeta = $true) & (binintersectI = $true) & (inIntersectImpInUnion2 = $true) & (dpsetconstrER = $true) & (setadjoinAx = $true) & (breln1unionIL = $true) & (ap2p = $true) & (cartprodmempair = $true) & (eqimpsubset1 = $true) & (setukpairinjR2 = $true) & (setextsub = $true) & (powersetE1 = $true) & (binunionIL = $true) & (infuncsetfunc = $true) & (setukpairinjL = $true) & (doubleComplementEq = $true) & (emptyinPowerset = $true) & (in__Cong = $true) & (demorgan2a1 = $true) & (powersetsubset = $true) & (subsetemptysetimpeq = $true) & (singletonprop = $true) & (complementTE1 = $true) & (exuE2 = $true) & (upairinpowunion = $true) & (complementT_lem = $true) & (ubforcartprodlem3 = $true) & (demorgan2a2 = $true) & (exuE3u = $true) & (setOfPairsIsBReln1 = $true) & (iftrueorfalse = $true) & (emptyE1 = $true) & (beta1 = $true) & (demorgan2b2 = $true) & (binunionRsub = $true) & (notequalI2 = $true) & (breln1compEex = $true) & (binintersectSubset5 = $true) & (binunionEcases = $true) & (woz2Ex = $true) & (setminusER = $true) & (omegaIndAx = $true) & (injFuncInInjFuncSet = $true) & (binintersectLsub = $true) & (binunionTE = $true) & (setext = $true) & (cartprodpairin = $true) & (omega0Ax = $true) & (brelnall2 = $true) & (setukpairinjL1 = $true) & (woz13rule2 = $true) & (inComplementUnionImpInComplement1 = $true) & (setukpairinjR1 = $true) & (emptysetOrdinal = $true) & (binintersectER = $true) & (cartprodpairsurjEq = $true) & (lam2p = $true) & (breln1compE = $true) & (descrp = $true) & (prop2setI = $true) & (funcext = $true) & (injFuncSetFuncInj = $true) & (eqbreln = $true) & (descr__Cong = $true) & (theprop = $true) & (cartprodsndpairEq = $true) & (breln1unionprop = $true) & (beta2 = $true) & (setukpairinjL2 = $true) & (kpairp = $true) & (omegaSAx = $true) & (setextT = $true) & (cartprodmempaircEq = $true) & (setminusILneg = $true) & (uniqinunit = $true) & (setukpairinjR = $true) & (lamp = $true) & (woz1_1 = $true) & (setunionAx = $true) & (binintersectSubset3 = $true) & (inPowerset = $true) & (notdallE = $true) & (inCongP = $true) & (dpsetconstrEL1 = $true) & (ifSingleton = $true) & (breln1all1 = $true) & (secondinupair = $true) & (powersetI = $true) & (noeltsimpempty = $true) & (upairsetIR = $true) & (notsubsetI = $true) & (upairequniteq = $true) & (iftrueProp2 = $true) & (setadjoinIR = $true) & (woz1_2 = $true) & (symdiffIneg2 = $true) & (powersetI1 = $true) & (dpsetconstrSub = $true) & (ap2apEq1 = $true) & (bs114d = $true) & (cartprodpairmemEL = $true) & (emptysetimpfalse = $true) & (funcextLem = $true) & (quantDeMorgan4 = $true) & (demorgan2b = $true) & (nonemptyI1 = $true) & (setadjoinIL = $true) & (binunionTILcontra = $true) & (kpairsurjEq = $true) & (setadjoinE = $true) & (subset2powerset = $true) & (ubforcartprodlem2 = $true) & (inIntersectImpInUnion = $true) & (binintersectT_lem = $true) & (breln1unionEcases = $true) & (setminusEL = $true) & (symdiffI1 = $true) & (iffalseProp1 = $true) & (demorgan2 = $true) & (exuE1 = $true) & (upairsubunion = $true) & (foundation2 = $true) & (ksndpairEq = $true) & (prop2set2propI = $true) & (exu__Cong = $true) & (funcext2 = $true) & (wellorderingAx = $true) & (cartprodfstin = $true) & (complementTcontraSubset = $true) & (complementImpComplementIntersect = $true) & (dpsetconstrERa = $true) & (image1I = $true) & (exuEu = $true) & (funcGraphProp4 = $true) & (nonemptyImpWitness = $true) & (sepInPowerset = $true) & (complementTnotintersectT = $true) & (setadjoinSub2 = $true) & (omega__Cong = $true) & (exuE3e = $true) & (complementInPowersetComplementIntersect = $true) & (omegaSclos = $true) & (doubleComplementSub2 = $true) & (choice2fnsingleton = $true) & (leftInvIsSurj = $true) & (setminusSubset1 = $true) & (iftrueProp1 = $true) & (brelnall1 = $true) & (singletoninpowunion = $true) & (quantDeMorgan1 = $true) & (ordinalTransSet1 = $true) & (subsetI1 = $true) & (powersetT_lem = $true) & (setunionTransitive = $true) & (emptysetAx = $true) & (lam2lamEq = $true) & (notinself = $true) & (cartprodsndin = $true) & (subsetE = $true) & (binunionT_lem = $true) & (app = $true) & (omegaSp = $true) & (upairsetIL = $true) & (setOfPairsIsBReln = $true) & (breln1invprop = $true) & (funcImageSingleton = $true) & (doubleComplementSub1 = $true) & (apProp = $true) & (breln1SetBreln1 = $true) & (breln1compI = $true) & (contrasubsetT2 = $true) & (eqbreln1 = $true) & (peano0notS = $true) & (inComplementUnionImpNotIn1 = $true) & (ubforcartprodlem1 = $true) & (setunionE = $true) & (binintersectSubset2 = $true) & (cartprodpairmemER = $true) & (notinemptyset = $true) & (demorgan1a = $true) & (exuI1 = $true) & (quantDeMorgan3 = $true) & (vacuousDall = $true) & (subsetE2 = $true) & (notinsingleton = $true) & (subsetI2 = $true) & (emptyinunitempty = $true) & (doubleComplementE1 = $true) & (setukpairinjR12 = $true) & (binunionLsub = $true) & (breln1compprop = $true) & (binunionIR = $true) & (dpsetconstrI = $true) & (transitivesetOp2 = $true) & (peanoSinj = $true) & (upairset2E = $true) & (iftrue = $true) & (setukpairIL = $true) & (surjCantorThm = $true) & (complementTI1 = $true) & (kfstpairEq = $true) & (notequalI1 = $true) & (binunionTIRcontra = $true) & (cartprodmempair1 = $true) & (setadjoin__Cong = $true) & (subsetRefl = $true) & (setextAx = $true) & (image1Ex = $true) & (iffalse = $true) & (theeq = $true) & (quantDeMorgan2 = $true) & (demorgan1b = $true) & (subbreln = $true) & (funcGraphProp2 = $true) & (subbreln1 = $true) & (woz1_4 = $true) & (setunion__Cong = $true) & (dsetconstrEL = $true) & (image1Ex1 = $true) & (surjFuncSetFuncSurj = $true) & (singletonsuniq = $true) & (setukpairIR = $true) & (setunionsingleton = $true) & (binintTransitive = $true) & (binintersectSubset1 = $true) & (disjointsetsI1 = $true) & (eta1 = $true) & (dsetconstrI = $true) & (binunionE = $true) & (breln1unionCommutes = $true) & (eta2 = $true) & (powersetTI1 = $true) & (setminusI = $true) & (eqimpsubset2 = $true) & (ex1I = $true) & (ksndsingleton = $true) & (contraSubsetComplement = $true) & (powersetAx = $true) & (breln1all2 = $true) & (woz13rule4 = $true) & (funcinfuncset = $true) & (woz2B = $true) & (singletoninpowerset = $true) & (emptysetsubset = $true) & (ex1E1 = $true) & (injFuncSetFuncIn = $true) & (upairsetE = $true) & (ordinalMinLem1 = $true) & (powerset__Cong = $true) & (complementSubsetComplementIntersect = $true) & (foundationAx = $true) & (binintersectEL = $true) & (symdiffI2 = $true) & (ap2apEq2 = $true) & (ifp = $true) & (woz13rule0 = $true) & (subsetTrans = $true) & (transitivesetOp1 = $true) & (doubleComplementI1 = $true) & (binintersectTERcontra = $true) & (kfstsingleton = $true) & (setunionsingleton2 = $true) & (eqinunit = $true) & (ordinalTransSet = $true) & (symdiffE = $true) & (dsetconstrER = $true) & (nonemptyE1 = $true) & (setminusT_lem = $true) & (breln1unionIR = $true) & (setminusERneg = $true) & (contrasubsetT = $true) & (complementUnionInPowersetComplement = $true) & (ex1E2 = $true) & (kpairiskpair = $true) & (woz1_5 = $true) & (notdexE = $true) & (sepSubset = $true) & (setoftrueEq = $true) & (symdiffIneg1 = $true) & (setunionI = $true) & (intersectInPowersetIntersectUnions = $true) & (funcGraphProp3 = $true) & ? [X0] : (? [X1] : (($true = (in @ X1 @ X1)) & ($true = (in @ X1 @ X0))) & ((ordinal @ X0) = $true)) & (woz1_3 = $true) & (setukpairinjR11 = $true) & (powersetE = $true) & (dsetconstr__Cong = $true) & (setminusSubset2 = $true) & (emptysetE = $true) & (singletonsubset = $true) & (woz2A = $true) & (cartprodfstpairEq = $true) & (subsetTI = $true) & (iffalseProp2 = $true) & (dpsetconstrEL2 = $true) & (emptyset__Cong = $true) & (setunionE2 = $true) & (breln1invI = $true) & (contrasubsetT3 = $true) & (setminusIRneg = $true) & (woz2W = $true) & (powersetTE1 = $true) & (exuI2 = $true) & (binunionTEcontra = $true) & (emptyInPowerset = $true) & (exuI3 = $true) & (setunionsingleton1 = $true) & (ex1I2 = $true) & (setunionOrdinalLem1 = $true) & (lamProp = $true) & (contrasubsetT1 = $true) & (replAx = $true) & (notinself2 = $true) & (setminusELneg = $true) & (singletonsswitch = $true) & (surjFuncSetFuncIn = $true) & (inIntersectImpInIntersectUnions = $true) & (demorgan1 = $true) & (image1Equiv = $true) & (nonemptyI = $true) & (setadjoinSub = $true) & (binintersectSubset4 = $true) & (funcGraphProp1 = $true)), 1.24/0.74 inference(flattening,[],[f1399])). 1.24/0.74 thf(f1399,plain,( 1.24/0.74 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0] : (? [X1] : (($true = (in @ X1 @ X1)) & ($true = (in @ X1 @ X0))) & ((ordinal @ X0) = $true)) & (emptysetOrdinal = $true)) & (setunionOrdinalLem1 = $true)) & (ordinalTransSet1 = $true)) & (ordinalTransSet = $true)) & (ordinalMinLem1 = $true)) & (setunionTransitive = $true)) & (transitivesetOp2 = $true)) & (binintTransitive = $true)) & (transitivesetOp1 = $true)) & (peanoSinj = $true)) & (peano0notS = $true)) & (omegaSclos = $true)) & (omegaSp = $true)) & (notinself2 = $true)) & (notinself = $true)) & (foundation2 = $true)) & (surjCantorThm = $true)) & (leftInvIsSurj = $true)) & (surjFuncSetFuncSurj = $true)) & (surjFuncSetFuncIn = $true)) & (injFuncSetFuncInj = $true)) & (injFuncSetFuncIn = $true)) & (injFuncInInjFuncSet = $true)) & (image1I = $true)) & (image1E = $true)) & (image1Equiv = $true)) & (image1Ex1 = $true)) & (image1Ex = $true)) & (woz2B = $true)) & (woz2A = $true)) & (woz2W = $true)) & (woz2Ex = $true)) & (breln1unionCommutes = $true)) & (breln1unionEcases = $true)) & (breln1unionE = $true)) & (breln1unionI = $true)) & (breln1unionIR = $true)) & (breln1unionIL = $true)) & (breln1unionprop = $true)) & (breln1compEex = $true)) & (breln1compE = $true)) & (breln1compI = $true)) & (breln1compprop = $true)) & (breln1invE = $true)) & (breln1invI = $true)) & (breln1invprop = $true)) & (eqbreln1 = $true)) & (subbreln1 = $true)) & (breln1all1 = $true)) & (setOfPairsIsBReln1 = $true)) & (choice2fnsingleton = $true)) & (breln1SetBreln1 = $true)) & (breln1all2 = $true)) & (woz1_5 = $true)) & (woz1_4 = $true)) & (woz1_3 = $true)) & (woz1_2 = $true)) & (woz1_1 = $true)) & (woz13rule4 = $true)) & (woz13rule3 = $true)) & (woz13rule2 = $true)) & (woz13rule1 = $true)) & (woz13rule0 = $true)) & (demorgan2 = $true)) & (demorgan2b = $true)) & (demorgan2b2 = $true)) & (demorgan2a = $true)) & (demorgan1 = $true)) & (demorgan1b = $true)) & (demorgan1a = $true)) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)), 1.24/0.74 inference(ennf_transformation,[],[f1056])). 1.24/0.74 thf(f1056,plain,( 1.24/0.74 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ((demorgan1b = $true) => ((demorgan1 = $true) => ((demorgan2a = $true) => ((demorgan2b2 = $true) => ((demorgan2b = $true) => ((demorgan2 = $true) => ((woz13rule0 = $true) => ((woz13rule1 = $true) => ((woz13rule2 = $true) => ((woz13rule3 = $true) => ((woz13rule4 = $true) => ((woz1_1 = $true) => ((woz1_2 = $true) => ((woz1_3 = $true) => ((woz1_4 = $true) => ((woz1_5 = $true) => ((breln1all2 = $true) => ((breln1SetBreln1 = $true) => ((choice2fnsingleton = $true) => ((setOfPairsIsBReln1 = $true) => ((breln1all1 = $true) => ((subbreln1 = $true) => ((eqbreln1 = $true) => ((breln1invprop = $true) => ((breln1invI = $true) => ((breln1invE = $true) => ((breln1compprop = $true) => ((breln1compI = $true) => ((breln1compE = $true) => ((breln1compEex = $true) => ((breln1unionprop = $true) => ((breln1unionIL = $true) => ((breln1unionIR = $true) => ((breln1unionI = $true) => ((breln1unionE = $true) => ((breln1unionEcases = $true) => ((breln1unionCommutes = $true) => ((woz2Ex = $true) => ((woz2W = $true) => ((woz2A = $true) => ((woz2B = $true) => ((image1Ex = $true) => ((image1Ex1 = $true) => ((image1Equiv = $true) => ((image1E = $true) => ((image1I = $true) => ((injFuncInInjFuncSet = $true) => ((injFuncSetFuncIn = $true) => ((injFuncSetFuncInj = $true) => ((surjFuncSetFuncIn = $true) => ((surjFuncSetFuncSurj = $true) => ((leftInvIsSurj = $true) => ((surjCantorThm = $true) => ((foundation2 = $true) => ((notinself = $true) => ((notinself2 = $true) => ((omegaSp = $true) => ((omegaSclos = $true) => ((peano0notS = $true) => ((peanoSinj = $true) => ((transitivesetOp1 = $true) => ((binintTransitive = $true) => ((transitivesetOp2 = $true) => ((setunionTransitive = $true) => ((ordinalMinLem1 = $true) => ((ordinalTransSet = $true) => ((ordinalTransSet1 = $true) => ((setunionOrdinalLem1 = $true) => ((emptysetOrdinal = $true) => ! [X0] : (((ordinal @ X0) = $true) => ! [X1] : (($true = (in @ X1 @ X0)) => ($true != (in @ X1 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.24/0.74 inference(flattening,[],[f744])). 1.24/0.74 thf(f744,plain,( 1.24/0.74 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ((demorgan1b = $true) => ((demorgan1 = $true) => ((demorgan2a = $true) => ((demorgan2b2 = $true) => ((demorgan2b = $true) => ((demorgan2 = $true) => ((woz13rule0 = $true) => ((woz13rule1 = $true) => ((woz13rule2 = $true) => ((woz13rule3 = $true) => ((woz13rule4 = $true) => ((woz1_1 = $true) => ((woz1_2 = $true) => ((woz1_3 = $true) => ((woz1_4 = $true) => ((woz1_5 = $true) => ((breln1all2 = $true) => ((breln1SetBreln1 = $true) => ((choice2fnsingleton = $true) => ((setOfPairsIsBReln1 = $true) => ((breln1all1 = $true) => ((subbreln1 = $true) => ((eqbreln1 = $true) => ((breln1invprop = $true) => ((breln1invI = $true) => ((breln1invE = $true) => ((breln1compprop = $true) => ((breln1compI = $true) => ((breln1compE = $true) => ((breln1compEex = $true) => ((breln1unionprop = $true) => ((breln1unionIL = $true) => ((breln1unionIR = $true) => ((breln1unionI = $true) => ((breln1unionE = $true) => ((breln1unionEcases = $true) => ((breln1unionCommutes = $true) => ((woz2Ex = $true) => ((woz2W = $true) => ((woz2A = $true) => ((woz2B = $true) => ((image1Ex = $true) => ((image1Ex1 = $true) => ((image1Equiv = $true) => ((image1E = $true) => ((image1I = $true) => ((injFuncInInjFuncSet = $true) => ((injFuncSetFuncIn = $true) => ((injFuncSetFuncInj = $true) => ((surjFuncSetFuncIn = $true) => ((surjFuncSetFuncSurj = $true) => ((leftInvIsSurj = $true) => ((surjCantorThm = $true) => ((foundation2 = $true) => ((notinself = $true) => ((notinself2 = $true) => ((omegaSp = $true) => ((omegaSclos = $true) => ((peano0notS = $true) => ((peanoSinj = $true) => ((transitivesetOp1 = $true) => ((binintTransitive = $true) => ((transitivesetOp2 = $true) => ((setunionTransitive = $true) => ((ordinalMinLem1 = $true) => ((ordinalTransSet = $true) => ((ordinalTransSet1 = $true) => ((setunionOrdinalLem1 = $true) => ((emptysetOrdinal = $true) => ! [X0] : (((ordinal @ X0) = $true) => ! [X1] : (($true = (in @ X1 @ X0)) => ~($true = (in @ X1 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.24/0.74 inference(fool_elimination,[],[f743])). 1.24/0.74 thf(f743,plain,( 1.24/0.74 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => (surjFuncSetFuncIn => (surjFuncSetFuncSurj => (leftInvIsSurj => (surjCantorThm => (foundation2 => (notinself => (notinself2 => (omegaSp => (omegaSclos => (peano0notS => (peanoSinj => (transitivesetOp1 => (binintTransitive => (transitivesetOp2 => (setunionTransitive => (ordinalMinLem1 => (ordinalTransSet => (ordinalTransSet1 => (setunionOrdinalLem1 => (emptysetOrdinal => ! [X0] : ((ordinal @ X0) => ! [X1] : ((in @ X1 @ X0) => ~(in @ X1 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.24/0.74 inference(rectify,[],[f343])). 1.24/0.74 thf(f343,negated_conjecture,( 1.24/0.74 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => (surjFuncSetFuncIn => (surjFuncSetFuncSurj => (leftInvIsSurj => (surjCantorThm => (foundation2 => (notinself => (notinself2 => (omegaSp => (omegaSclos => (peano0notS => (peanoSinj => (transitivesetOp1 => (binintTransitive => (transitivesetOp2 => (setunionTransitive => (ordinalMinLem1 => (ordinalTransSet => (ordinalTransSet1 => (setunionOrdinalLem1 => (emptysetOrdinal => ! [X11] : ((ordinal @ X11) => ! [X3] : ((in @ X3 @ X11) => ~(in @ X3 @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.24/0.74 inference(negated_conjecture,[],[f342])). 1.24/0.74 thf(f342,conjecture,( 1.24/0.74 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => (surjFuncSetFuncIn => (surjFuncSetFuncSurj => (leftInvIsSurj => (surjCantorThm => (foundation2 => (notinself => (notinself2 => (omegaSp => (omegaSclos => (peano0notS => (peanoSinj => (transitivesetOp1 => (binintTransitive => (transitivesetOp2 => (setunionTransitive => (ordinalMinLem1 => (ordinalTransSet => (ordinalTransSet1 => (setunionOrdinalLem1 => (emptysetOrdinal => ! [X11] : ((ordinal @ X11) => ! [X3] : ((in @ X3 @ X11) => ~(in @ X3 @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.24/0.74 file('/export/starexec/sandbox2/tmp/tmp.Y1UwFaWj4E/E---3.1_22830.p',ordinalIrrefl)). 1.24/0.74 thf(f5304,plain,( 1.24/0.74 (notinself != $true)), 1.24/0.74 inference(trivial_inequality_removal,[],[f5299])). 1.24/0.74 thf(f5299,plain,( 1.24/0.74 ($true != $true) | (notinself != $true)), 1.24/0.74 inference(superposition,[],[f5030,f3468])). 1.24/0.74 thf(f3468,plain,( 1.24/0.74 ($true = (in @ sK159 @ sK159))), 1.24/0.74 inference(cnf_transformation,[],[f1759])). 1.24/0.74 thf(f5030,plain,( 1.24/0.74 ( ! [X1 : $i] : (($true != (in @ X1 @ X1)) | (notinself != $true)) )), 1.24/0.74 inference(cnf_transformation,[],[f3157])). 1.24/0.74 thf(f3157,plain,( 1.24/0.74 ((notinself = $true) | ($true = (in @ sK1069 @ sK1069))) & (! [X1] : ($true != (in @ X1 @ X1)) | (notinself != $true))), 1.24/0.74 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1069])],[f3155,f3156])). 1.24/0.74 thf(f3156,plain,( 1.24/0.74 ? [X0] : ((in @ X0 @ X0) = $true) => ($true = (in @ sK1069 @ sK1069))), 1.24/0.74 introduced(choice_axiom,[])). 1.24/0.74 thf(f3155,plain,( 1.24/0.74 ((notinself = $true) | ? [X0] : ((in @ X0 @ X0) = $true)) & (! [X1] : ($true != (in @ X1 @ X1)) | (notinself != $true))), 1.24/0.74 inference(rectify,[],[f3154])). 1.24/0.74 thf(f3154,plain,( 1.24/0.74 ((notinself = $true) | ? [X0] : ((in @ X0 @ X0) = $true)) & (! [X0] : ((in @ X0 @ X0) != $true) | (notinself != $true))), 1.24/0.74 inference(nnf_transformation,[],[f1053])). 1.24/0.74 thf(f1053,plain,( 1.24/0.74 (notinself = $true) <=> ! [X0] : ((in @ X0 @ X0) != $true)), 1.24/0.74 inference(flattening,[],[f686])). 1.24/0.74 thf(f686,plain,( 1.24/0.74 (notinself = $true) <=> ! [X0] : ~((in @ X0 @ X0) = $true)), 1.24/0.74 inference(fool_elimination,[],[f685])). 1.24/0.74 thf(f685,plain,( 1.24/0.74 (notinself = ! [X0] : ~(in @ X0 @ X0))), 1.24/0.74 inference(rectify,[],[f324])). 1.24/0.74 thf(f324,axiom,( 1.24/0.74 (notinself = ! [X3] : ~(in @ X3 @ X3))), 1.24/0.74 file('/export/starexec/sandbox2/tmp/tmp.Y1UwFaWj4E/E---3.1_22830.p',notinself)). 1.24/0.74 % SZS output end Proof for E---3.1_22830 1.24/0.74 % (23092)------------------------------ 1.24/0.74 % (23092)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.24/0.74 % (23092)Termination reason: Refutation 1.24/0.74 1.24/0.74 % (23092)Memory used [KB]: 11897 1.24/0.74 % (23092)Time elapsed: 0.161 s 1.24/0.74 % (23092)Instructions burned: 440 (million) 1.24/0.74 % (23092)------------------------------ 1.24/0.74 % (23092)------------------------------ 1.24/0.74 % (23018)Success in time 0.292 s 1.24/0.74 EOF