0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n022.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 03:43:04 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 0.21/0.41 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.FrwtHVt93O/E---3.1_20654.p -m 16384 -t 240 0.21/0.45 % (20767)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_20654 for (2399ds/18Mi) 0.21/0.45 % (20763)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_20654 for (2399ds/27Mi) 0.21/0.45 % (20764)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_20654 for (2399ds/2Mi) 0.21/0.45 % (20766)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_20654 for (2399ds/275Mi) 0.21/0.45 % (20761)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_20654 for (2399ds/183Mi) 0.21/0.45 % (20762)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_20654 for (2399ds/4Mi) 0.21/0.45 % (20765)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_20654 for (2399ds/2Mi) 0.21/0.45 % (20764)Instruction limit reached! 0.21/0.45 % (20764)------------------------------ 0.21/0.45 % (20764)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.45 % (20764)Termination reason: Unknown 0.21/0.45 % (20764)Termination phase: shuffling 0.21/0.45 % (20765)Instruction limit reached! 0.21/0.45 % (20765)------------------------------ 0.21/0.45 % (20765)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.45 % (20765)Termination reason: Unknown 0.21/0.45 % (20765)Termination phase: shuffling 0.21/0.45 0.21/0.45 % (20765)Memory used [KB]: 1407 0.21/0.45 % (20765)Time elapsed: 0.004 s 0.21/0.45 % (20765)Instructions burned: 2 (million) 0.21/0.45 % (20765)------------------------------ 0.21/0.45 % (20765)------------------------------ 0.21/0.45 0.21/0.45 % (20764)Memory used [KB]: 1407 0.21/0.45 % (20764)Time elapsed: 0.003 s 0.21/0.45 % (20764)Instructions burned: 2 (million) 0.21/0.45 % (20764)------------------------------ 0.21/0.45 % (20764)------------------------------ 0.21/0.45 % (20762)Instruction limit reached! 0.21/0.45 % (20762)------------------------------ 0.21/0.45 % (20762)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.45 % (20762)Termination reason: Unknown 0.21/0.45 % (20762)Termination phase: shuffling 0.21/0.45 0.21/0.45 % (20762)Memory used [KB]: 1535 0.21/0.45 % (20762)Time elapsed: 0.005 s 0.21/0.45 % (20762)Instructions burned: 5 (million) 0.21/0.45 % (20762)------------------------------ 0.21/0.45 % (20762)------------------------------ 0.21/0.46 % (20767)Instruction limit reached! 0.21/0.46 % (20767)------------------------------ 0.21/0.46 % (20767)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.46 % (20767)Termination reason: Unknown 0.21/0.46 % (20767)Termination phase: shuffling 0.21/0.46 0.21/0.46 % (20767)Memory used [KB]: 1791 0.21/0.46 % (20767)Time elapsed: 0.013 s 0.21/0.46 % (20767)Instructions burned: 19 (million) 0.21/0.46 % (20767)------------------------------ 0.21/0.46 % (20767)------------------------------ 0.21/0.46 % (20763)Instruction limit reached! 0.21/0.46 % (20763)------------------------------ 0.21/0.46 % (20763)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.46 % (20763)Termination reason: Unknown 0.21/0.46 % (20763)Termination phase: shuffling 0.21/0.46 0.21/0.46 % (20763)Memory used [KB]: 2046 0.21/0.46 % (20763)Time elapsed: 0.016 s 0.21/0.46 % (20763)Instructions burned: 27 (million) 0.21/0.46 % (20763)------------------------------ 0.21/0.46 % (20763)------------------------------ 0.21/0.47 % (20768)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_20654 for (2399ds/3Mi) 0.21/0.47 % (20769)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_20654 for (2399ds/37Mi) 0.27/0.47 % (20768)Instruction limit reached! 0.27/0.47 % (20768)------------------------------ 0.27/0.47 % (20768)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.47 % (20768)Termination reason: Unknown 0.27/0.47 % (20768)Termination phase: shuffling 0.27/0.47 0.27/0.47 % (20768)Memory used [KB]: 1535 0.27/0.47 % (20770)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_20654 for (2399ds/15Mi) 0.27/0.47 % (20768)Time elapsed: 0.004 s 0.27/0.47 % (20768)Instructions burned: 3 (million) 0.27/0.47 % (20768)------------------------------ 0.27/0.47 % (20768)------------------------------ 0.27/0.47 % (20771)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_20654 for (2399ds/3Mi) 0.27/0.47 % (20771)Instruction limit reached! 0.27/0.47 % (20771)------------------------------ 0.27/0.47 % (20771)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.47 % (20771)Termination reason: Unknown 0.27/0.47 % (20771)Termination phase: shuffling 0.27/0.47 0.27/0.47 % (20771)Memory used [KB]: 1535 0.27/0.47 % (20771)Time elapsed: 0.003 s 0.27/0.47 % (20771)Instructions burned: 4 (million) 0.27/0.47 % (20771)------------------------------ 0.27/0.47 % (20771)------------------------------ 0.27/0.48 % (20770)Instruction limit reached! 0.27/0.48 % (20770)------------------------------ 0.27/0.48 % (20770)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.48 % (20770)Termination reason: Unknown 0.27/0.48 % (20770)Termination phase: shuffling 0.27/0.48 0.27/0.48 % (20770)Memory used [KB]: 1791 0.27/0.48 % (20770)Time elapsed: 0.012 s 0.27/0.48 % (20770)Instructions burned: 15 (million) 0.27/0.48 % (20770)------------------------------ 0.27/0.48 % (20770)------------------------------ 0.27/0.48 % (20774)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_20654 for (2399ds/16Mi) 0.27/0.48 % (20772)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_20654 for (2399ds/1041Mi) 0.27/0.48 % (20773)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_20654 for (2399ds/7Mi) 0.27/0.48 % (20774)Instruction limit reached! 0.27/0.48 % (20774)------------------------------ 0.27/0.48 % (20774)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.48 % (20774)Termination reason: Unknown 0.27/0.48 % (20774)Termination phase: shuffling 0.27/0.48 0.27/0.48 % (20774)Memory used [KB]: 1918 0.27/0.48 % (20774)Time elapsed: 0.007 s 0.27/0.48 % (20774)Instructions burned: 17 (million) 0.27/0.48 % (20774)------------------------------ 0.27/0.48 % (20774)------------------------------ 0.27/0.49 % (20769)Instruction limit reached! 0.27/0.49 % (20769)------------------------------ 0.27/0.49 % (20769)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.49 % (20769)Termination reason: Unknown 0.27/0.49 % (20769)Termination phase: shuffling 0.27/0.49 0.27/0.49 % (20769)Memory used [KB]: 2302 0.27/0.49 % (20769)Time elapsed: 0.021 s 0.27/0.49 % (20769)Instructions burned: 37 (million) 0.27/0.49 % (20769)------------------------------ 0.27/0.49 % (20769)------------------------------ 0.27/0.49 % (20773)Instruction limit reached! 0.27/0.49 % (20773)------------------------------ 0.27/0.49 % (20773)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.49 % (20773)Termination reason: Unknown 0.27/0.49 % (20773)Termination phase: shuffling 0.27/0.49 0.27/0.49 % (20773)Memory used [KB]: 1535 0.27/0.49 % (20773)Time elapsed: 0.006 s 0.27/0.49 % (20773)Instructions burned: 7 (million) 0.27/0.49 % (20773)------------------------------ 0.27/0.49 % (20773)------------------------------ 0.27/0.49 % (20776)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_20654 for (2399ds/3Mi) 0.27/0.49 % (20775)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_20654 for (2399ds/3Mi) 0.27/0.50 % (20776)Instruction limit reached! 0.27/0.50 % (20776)------------------------------ 0.27/0.50 % (20776)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.50 % (20776)Termination reason: Unknown 0.27/0.50 % (20776)Termination phase: shuffling 0.27/0.50 0.27/0.50 % (20776)Memory used [KB]: 1535 0.27/0.50 % (20776)Time elapsed: 0.003 s 0.27/0.50 % (20776)Instructions burned: 4 (million) 0.27/0.50 % (20776)------------------------------ 0.27/0.50 % (20776)------------------------------ 0.27/0.50 % (20775)Instruction limit reached! 0.27/0.50 % (20775)------------------------------ 0.27/0.50 % (20775)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.50 % (20775)Termination reason: Unknown 0.27/0.50 % (20775)Termination phase: shuffling 0.27/0.50 0.27/0.50 % (20775)Memory used [KB]: 1535 0.27/0.50 % (20775)Time elapsed: 0.004 s 0.27/0.50 % (20775)Instructions burned: 3 (million) 0.27/0.50 % (20775)------------------------------ 0.27/0.50 % (20775)------------------------------ 0.27/0.50 % (20777)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_20654 for (2399ds/7Mi) 0.27/0.50 % (20778)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_20654 for (2399ds/3Mi) 0.27/0.50 % (20779)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_20654 for (2399ds/4Mi) 0.27/0.51 % (20777)Instruction limit reached! 0.27/0.51 % (20777)------------------------------ 0.27/0.51 % (20777)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.51 % (20777)Termination reason: Unknown 0.27/0.51 % (20777)Termination phase: shuffling 0.27/0.51 0.27/0.51 % (20777)Memory used [KB]: 1535 0.27/0.51 % (20777)Time elapsed: 0.006 s 0.27/0.51 % (20777)Instructions burned: 7 (million) 0.27/0.51 % (20777)------------------------------ 0.27/0.51 % (20777)------------------------------ 0.27/0.51 % (20779)Instruction limit reached! 0.27/0.51 % (20779)------------------------------ 0.27/0.51 % (20779)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.51 % (20779)Termination reason: Unknown 0.27/0.51 % (20779)Termination phase: shuffling 0.27/0.51 0.27/0.51 % (20779)Memory used [KB]: 1535 0.27/0.51 % (20779)Time elapsed: 0.003 s 0.27/0.51 % (20779)Instructions burned: 4 (million) 0.27/0.51 % (20779)------------------------------ 0.27/0.51 % (20779)------------------------------ 0.27/0.51 % (20778)Instruction limit reached! 0.27/0.51 % (20778)------------------------------ 0.27/0.51 % (20778)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.51 % (20778)Termination reason: Unknown 0.27/0.51 % (20778)Termination phase: shuffling 0.27/0.51 0.27/0.51 % (20778)Memory used [KB]: 1535 0.27/0.51 % (20778)Time elapsed: 0.004 s 0.27/0.51 % (20778)Instructions burned: 3 (million) 0.27/0.51 % (20778)------------------------------ 0.27/0.51 % (20778)------------------------------ 0.27/0.51 % (20780)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_20654 for (2399ds/18Mi) 0.27/0.51 % (20781)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_20654 for (2399ds/710Mi) 0.27/0.52 % (20782)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_20654 for (2399ds/6Mi) 0.27/0.52 % (20780)Instruction limit reached! 0.27/0.52 % (20780)------------------------------ 0.27/0.52 % (20780)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.52 % (20780)Termination reason: Unknown 0.27/0.52 % (20780)Termination phase: shuffling 0.27/0.52 0.27/0.52 % (20780)Memory used [KB]: 1918 0.27/0.52 % (20780)Time elapsed: 0.012 s 0.27/0.52 % (20780)Instructions burned: 18 (million) 0.27/0.52 % (20780)------------------------------ 0.27/0.52 % (20780)------------------------------ 0.27/0.52 % (20783)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_20654 for (2399ds/902Mi) 0.27/0.53 % (20782)Instruction limit reached! 0.27/0.53 % (20782)------------------------------ 0.27/0.53 % (20782)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.53 % (20782)Termination reason: Unknown 0.27/0.53 % (20782)Termination phase: shuffling 0.27/0.53 0.27/0.53 % (20782)Memory used [KB]: 1663 0.27/0.53 % (20782)Time elapsed: 0.006 s 0.27/0.53 % (20782)Instructions burned: 7 (million) 0.27/0.53 % (20782)------------------------------ 0.27/0.53 % (20782)------------------------------ 0.27/0.54 % (20784)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_20654 for (2398ds/21Mi) 0.85/0.54 % (20785)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_20654 for (2398ds/5Mi) 0.85/0.54 % (20785)Instruction limit reached! 0.85/0.54 % (20785)------------------------------ 0.85/0.54 % (20785)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.85/0.54 % (20785)Termination reason: Unknown 0.85/0.54 % (20785)Termination phase: shuffling 0.85/0.54 0.85/0.54 % (20785)Memory used [KB]: 1535 0.85/0.54 % (20785)Time elapsed: 0.005 s 0.85/0.54 % (20785)Instructions burned: 5 (million) 0.85/0.54 % (20785)------------------------------ 0.85/0.54 % (20785)------------------------------ 0.85/0.55 % (20784)Instruction limit reached! 0.85/0.55 % (20784)------------------------------ 0.85/0.55 % (20784)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.85/0.55 % (20784)Termination reason: Unknown 0.85/0.55 % (20784)Termination phase: shuffling 0.85/0.55 0.85/0.55 % (20784)Memory used [KB]: 1918 0.85/0.55 % (20784)Time elapsed: 0.014 s 0.85/0.55 % (20784)Instructions burned: 22 (million) 0.85/0.55 % (20784)------------------------------ 0.85/0.55 % (20784)------------------------------ 1.03/0.56 % (20786)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_20654 for (2398ds/6Mi) 1.03/0.56 % (20786)Instruction limit reached! 1.03/0.56 % (20786)------------------------------ 1.03/0.56 % (20786)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.03/0.56 % (20786)Termination reason: Unknown 1.03/0.56 % (20786)Termination phase: shuffling 1.03/0.56 1.03/0.56 % (20786)Memory used [KB]: 1535 1.03/0.56 % (20786)Time elapsed: 0.004 s 1.03/0.56 % (20786)Instructions burned: 7 (million) 1.03/0.56 % (20786)------------------------------ 1.03/0.56 % (20786)------------------------------ 1.03/0.56 % (20787)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_20654 for (2398ds/377Mi) 1.03/0.57 % (20761)Instruction limit reached! 1.03/0.57 % (20761)------------------------------ 1.03/0.57 % (20761)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.03/0.57 % (20761)Termination reason: Unknown 1.03/0.57 % (20761)Termination phase: Saturation 1.03/0.57 1.03/0.57 % (20761)Memory used [KB]: 7675 1.03/0.57 % (20761)Time elapsed: 0.100 s 1.03/0.57 % (20761)Instructions burned: 183 (million) 1.03/0.57 % (20761)------------------------------ 1.03/0.57 % (20761)------------------------------ 1.03/0.57 % (20788)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_20654 for (2398ds/779Mi) 1.03/0.58 % (20789)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_20654 for (2398ds/19Mi) 1.03/0.58 % (20789)Instruction limit reached! 1.03/0.58 % (20789)------------------------------ 1.03/0.58 % (20789)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.03/0.58 % (20789)Termination reason: Unknown 1.03/0.58 % (20789)Termination phase: shuffling 1.03/0.58 1.03/0.58 % (20789)Memory used [KB]: 1918 1.03/0.58 % (20789)Time elapsed: 0.008 s 1.03/0.58 % (20789)Instructions burned: 22 (million) 1.03/0.58 % (20789)------------------------------ 1.03/0.58 % (20789)------------------------------ 1.03/0.58 % (20766)Instruction limit reached! 1.03/0.58 % (20766)------------------------------ 1.03/0.58 % (20766)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.03/0.58 % (20766)Termination reason: Unknown 1.03/0.58 % (20766)Termination phase: Saturation 1.03/0.58 1.03/0.58 % (20766)Memory used [KB]: 9978 1.03/0.58 % (20766)Time elapsed: 0.138 s 1.03/0.58 % (20766)Instructions burned: 275 (million) 1.03/0.58 % (20766)------------------------------ 1.03/0.58 % (20766)------------------------------ 1.03/0.59 % (20790)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_20654 for (2398ds/879Mi) 1.03/0.59 % (20791)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_20654 for (2398ds/17Mi) 1.03/0.60 % (20791)Instruction limit reached! 1.03/0.60 % (20791)------------------------------ 1.03/0.60 % (20791)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.03/0.60 % (20791)Termination reason: Unknown 1.03/0.60 % (20791)Termination phase: shuffling 1.03/0.60 1.03/0.60 % (20791)Memory used [KB]: 1791 1.03/0.60 % (20791)Time elapsed: 0.007 s 1.03/0.60 % (20791)Instructions burned: 17 (million) 1.03/0.60 % (20791)------------------------------ 1.03/0.60 % (20791)------------------------------ 1.03/0.61 % (20792)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_20654 for (2398ds/3Mi) 1.03/0.61 % (20792)Instruction limit reached! 1.03/0.61 % (20792)------------------------------ 1.03/0.61 % (20792)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.03/0.61 % (20792)Termination reason: Unknown 1.03/0.61 % (20792)Termination phase: shuffling 1.03/0.61 1.03/0.61 % (20792)Memory used [KB]: 1535 1.03/0.61 % (20792)Time elapsed: 0.003 s 1.03/0.61 % (20792)Instructions burned: 3 (million) 1.03/0.61 % (20792)------------------------------ 1.03/0.61 % (20792)------------------------------ 1.03/0.62 % (20793)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_20654 for (2398ds/30Mi) 1.03/0.63 % (20793)Instruction limit reached! 1.03/0.63 % (20793)------------------------------ 1.03/0.63 % (20793)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.03/0.63 % (20793)Termination reason: Unknown 1.03/0.63 % (20793)Termination phase: shuffling 1.03/0.63 1.03/0.63 % (20793)Memory used [KB]: 2046 1.03/0.63 % (20793)Time elapsed: 0.011 s 1.03/0.63 % (20793)Instructions burned: 30 (million) 1.03/0.63 % (20793)------------------------------ 1.03/0.63 % (20793)------------------------------ 1.03/0.64 % (20794)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_20654 for (2397ds/127Mi) 1.44/0.65 % (20783)First to succeed. 1.44/0.66 % (20783)Refutation found. Thanks to Tanya! 1.44/0.66 % SZS status Theorem for E---3.1_20654 1.44/0.66 % SZS output start Proof for E---3.1_20654 1.44/0.66 thf(func_def_0, type, in: $i > $i > $o). 1.44/0.66 thf(func_def_1, type, exu: ($i > $o) > $o). 1.44/0.66 thf(func_def_6, type, setadjoin: $i > $i > $i). 1.44/0.66 thf(func_def_8, type, powerset: $i > $i). 1.44/0.66 thf(func_def_10, type, setunion: $i > $i). 1.44/0.66 thf(func_def_19, type, descr: ($i > $o) > $i). 1.44/0.66 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 1.44/0.66 thf(func_def_26, type, prop2set: $o > $i). 1.44/0.66 thf(func_def_36, type, nonempty: $i > $o). 1.44/0.66 thf(func_def_69, type, set2prop: $i > $o). 1.44/0.66 thf(func_def_88, type, subset: $i > $i > $o). 1.44/0.66 thf(func_def_89, type, disjoint: $i > $i > $o). 1.44/0.66 thf(func_def_90, type, setsmeet: $i > $i > $o). 1.44/0.66 thf(func_def_114, type, binunion: $i > $i > $i). 1.44/0.66 thf(func_def_122, type, binintersect: $i > $i > $i). 1.44/0.66 thf(func_def_135, type, regular: $i > $o). 1.44/0.66 thf(func_def_136, type, setminus: $i > $i > $i). 1.44/0.66 thf(func_def_147, type, symdiff: $i > $i > $i). 1.44/0.66 thf(func_def_153, type, iskpair: $i > $o). 1.44/0.66 thf(func_def_158, type, kpair: $i > $i > $i). 1.44/0.66 thf(func_def_160, type, cartprod: $i > $i > $i). 1.44/0.66 thf(func_def_177, type, singleton: $i > $o). 1.44/0.66 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 1.44/0.66 thf(func_def_184, type, atmost1p: $i > $o). 1.44/0.66 thf(func_def_185, type, atleast2p: $i > $o). 1.44/0.66 thf(func_def_186, type, atmost2p: $i > $o). 1.44/0.66 thf(func_def_187, type, upairsetp: $i > $o). 1.44/0.66 thf(func_def_191, type, kfst: $i > $i). 1.44/0.66 thf(func_def_203, type, ksnd: $i > $i). 1.44/0.66 thf(func_def_213, type, breln: $i > $i > $i > $o). 1.44/0.66 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 1.44/0.66 thf(func_def_222, type, func: $i > $i > $i > $o). 1.44/0.66 thf(func_def_223, type, funcSet: $i > $i > $i). 1.44/0.66 thf(func_def_226, type, ap: $i > $i > $i > $i > $i). 1.44/0.66 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i). 1.44/0.66 thf(func_def_259, type, if: $i > $o > $i > $i > $i). 1.44/0.66 thf(func_def_319, type, sP0: $i > $i > $i > $i > $o). 1.44/0.66 thf(func_def_321, type, sP2: $i > $i > $i > $o). 1.44/0.66 thf(func_def_324, type, sP5: $i > $i > $o). 1.44/0.66 thf(func_def_325, type, sP6: $i > $o). 1.44/0.66 thf(func_def_326, type, sP7: $i > $i > $o). 1.44/0.66 thf(func_def_327, type, sP8: $i > $i > $o). 1.44/0.66 thf(func_def_330, type, sP11: $o > $i > $i > $i > $o). 1.44/0.66 thf(func_def_336, type, sK17: $i > $i > $i > $i > $i). 1.44/0.66 thf(func_def_337, type, sK18: $i > $i > $i > $i > $i). 1.44/0.66 thf(func_def_346, type, sK27: $i > $i). 1.44/0.66 thf(func_def_354, type, sK35: ($i > $o) > $i > $i). 1.44/0.66 thf(func_def_356, type, sK37: $i > $o). 1.44/0.66 thf(func_def_358, type, sK39: ($i > $o) > ($i > $o) > $i). 1.44/0.66 thf(func_def_359, type, sK40: ($i > $o) > ($i > $o) > $i). 1.44/0.66 thf(func_def_360, type, sK41: $i > $o). 1.44/0.66 thf(func_def_361, type, sK42: $i > $o). 1.44/0.66 thf(func_def_364, type, sK45: $i > $i > $o). 1.44/0.66 thf(func_def_369, type, sK50: $i > $i > $i). 1.44/0.66 thf(func_def_370, type, sK51: $i > $i > $i). 1.44/0.66 thf(func_def_384, type, sK65: $i > $i > $i). 1.44/0.66 thf(func_def_404, type, sK85: $i > $i > $i > $i > $i). 1.44/0.66 thf(func_def_405, type, sK86: $i > $i > $i > $i > $i). 1.44/0.66 thf(func_def_406, type, sK87: $i > $i > $i > $i > $i). 1.44/0.66 thf(func_def_407, type, sK88: $i > $i > $i > $i > $i). 1.44/0.66 thf(func_def_425, type, sK106: ($i > $o) > $i > $i). 1.44/0.66 thf(func_def_427, type, sK108: $i > $o). 1.44/0.66 thf(func_def_438, type, sK119: $i > $o). 1.44/0.66 thf(func_def_443, type, sK124: $i > ($i > $o) > $i). 1.44/0.66 thf(func_def_444, type, sK125: $i > $o). 1.44/0.66 thf(func_def_457, type, sK138: $i > $o). 1.44/0.66 thf(func_def_462, type, sK143: $i > $o). 1.44/0.66 thf(func_def_464, type, sK145: ($i > $o) > $i > $i). 1.44/0.66 thf(func_def_474, type, sK155: $i > $o). 1.44/0.66 thf(func_def_490, type, sK171: $i > $i > $o). 1.44/0.66 thf(func_def_492, type, sK173: $i > $o). 1.44/0.66 thf(func_def_526, type, sK207: $i > $i > $i > $i). 1.44/0.66 thf(func_def_530, type, sK211: $i > $i > $i > $i). 1.44/0.66 thf(func_def_544, type, sK225: $i > $o). 1.44/0.66 thf(func_def_562, type, sK243: $i > $o). 1.44/0.66 thf(func_def_565, type, sK246: $i > ($i > $o) > $i). 1.44/0.66 thf(func_def_566, type, sK247: $i > ($i > $o) > $i). 1.44/0.66 thf(func_def_569, type, sK250: $i > $i). 1.44/0.66 thf(func_def_570, type, sK251: ($i > $i) > $i > $i > $i). 1.44/0.66 thf(func_def_577, type, sK258: $i > $o). 1.44/0.66 thf(func_def_582, type, sK263: $i > $o). 1.44/0.66 thf(func_def_584, type, sK265: $i > $o). 1.44/0.66 thf(func_def_591, type, sK272: $i > $i). 1.44/0.66 thf(func_def_593, type, sK274: $i > $i). 1.44/0.66 thf(func_def_594, type, sK275: $i > $o). 1.44/0.66 thf(func_def_599, type, sK280: $i > $i > $i > $i > $i). 1.44/0.66 thf(func_def_607, type, sK288: $i > $i). 1.44/0.66 thf(func_def_611, type, sK292: $i > $i > ($i > $i) > $i). 1.44/0.66 thf(func_def_618, type, sK299: $i > $o). 1.44/0.66 thf(func_def_622, type, sK303: $i > $o). 1.44/0.66 thf(func_def_623, type, sK304: $i > $i). 1.44/0.66 thf(func_def_624, type, sK305: ($i > $o) > $i). 1.44/0.66 thf(func_def_628, type, sK309: $i > $o). 1.44/0.66 thf(func_def_630, type, sK311: ($i > $o) > $i > $i > $i > $i). 1.44/0.66 thf(func_def_631, type, sK312: ($i > $o) > $i > $i > $i > $i). 1.44/0.66 thf(func_def_635, type, sK316: $i > $i > $i). 1.44/0.66 thf(func_def_650, type, sK331: ($i > $o) > $i > $i > $i > $i). 1.44/0.66 thf(func_def_651, type, sK332: ($i > $o) > $i > $i > $i > $i). 1.44/0.66 thf(func_def_655, type, sK336: $i > $o). 1.44/0.66 thf(func_def_714, type, sK395: $i > $i > $o). 1.44/0.66 thf(func_def_719, type, sK400: $i > $i > $i > $i). 1.44/0.66 thf(func_def_737, type, sK418: $i > $i > $i). 1.44/0.66 thf(func_def_751, type, sK432: $i > $i > $o). 1.44/0.66 thf(func_def_763, type, sK444: $i > $i). 1.44/0.66 thf(func_def_764, type, sK445: ($i > $o) > $i). 1.44/0.66 thf(func_def_765, type, sK446: $i > $o). 1.44/0.66 thf(func_def_766, type, sK447: $i > $o). 1.44/0.66 thf(func_def_768, type, sK449: $i > ($i > $o) > $i). 1.44/0.66 thf(func_def_774, type, sK455: $i > $i > $o). 1.44/0.66 thf(func_def_778, type, sK459: $i > $i). 1.44/0.66 thf(func_def_780, type, sK461: $i > ($i > $i) > $i > $i). 1.44/0.66 thf(func_def_786, type, sK467: $i > $o). 1.44/0.66 thf(func_def_789, type, sK470: $i > ($i > $o) > $i). 1.44/0.66 thf(func_def_792, type, sK473: $i > $o). 1.44/0.66 thf(func_def_793, type, sK474: $i > $o). 1.44/0.66 thf(func_def_794, type, sK475: ($i > $o) > ($i > $o) > $i > $i > $i). 1.44/0.66 thf(func_def_795, type, sK476: ($i > $o) > ($i > $o) > $i > $i > $i). 1.44/0.66 thf(func_def_807, type, sK488: $o > $i > $i > $i). 1.44/0.66 thf(func_def_811, type, sK492: $i > $i > $o). 1.44/0.66 thf(func_def_813, type, sK494: $i > $i). 1.44/0.66 thf(func_def_814, type, sK495: $i > $i). 1.44/0.66 thf(func_def_815, type, sK496: $i > ($i > $i > $o) > $i). 1.44/0.66 thf(func_def_816, type, sK497: $i > $i > ($i > $i > $o) > $i). 1.44/0.66 thf(func_def_817, type, sK498: $i > ($i > $i > $o) > $i). 1.44/0.66 thf(func_def_823, type, sK504: $i > $i > $i). 1.44/0.66 thf(func_def_824, type, sK505: $i > $i > $i). 1.44/0.66 thf(func_def_825, type, sK506: $i > $i > $i). 1.44/0.66 thf(func_def_826, type, sK507: $i > $i > $i). 1.44/0.66 thf(func_def_827, type, sK508: $i > $i > $i). 1.44/0.66 thf(func_def_828, type, sK509: $i > $i > $i > $i). 1.44/0.66 thf(func_def_829, type, sK510: $i > $i). 1.44/0.66 thf(func_def_830, type, sK511: $i > $i). 1.44/0.66 thf(func_def_831, type, sK512: $i > $i). 1.44/0.66 thf(func_def_832, type, sK513: $i > $i). 1.44/0.66 thf(func_def_833, type, sK514: $i > $i > $i > $i). 1.44/0.66 thf(func_def_834, type, sK515: $i > $i > $i > $i). 1.44/0.66 thf(func_def_835, type, sK516: $i > $i > $i). 1.44/0.66 thf(func_def_836, type, sK517: $i > $i > $i). 1.44/0.66 thf(func_def_837, type, sK518: $i > $i > $i). 1.44/0.66 thf(func_def_839, type, sK520: $i > $i). 1.44/0.66 thf(func_def_840, type, sK521: $i > $i). 1.44/0.66 thf(func_def_841, type, sK522: $i > $i). 1.44/0.66 thf(func_def_845, type, sK526: $i > $i > $i). 1.44/0.66 thf(func_def_848, type, sK529: $i > $i > $i). 1.44/0.66 thf(func_def_850, type, sK531: $i > $i). 1.44/0.66 thf(func_def_853, type, sK534: $i > ($i > $i) > $i > $i). 1.44/0.66 thf(func_def_882, type, sK563: $i > $o). 1.44/0.66 thf(func_def_884, type, sK565: $i > ($i > $o) > $i > $i). 1.44/0.66 thf(func_def_891, type, sK572: $i > $o). 1.44/0.66 thf(func_def_913, type, sK594: $i > $o). 1.44/0.66 thf(func_def_915, type, sK596: ($i > $o) > $i > $i). 1.44/0.66 thf(func_def_916, type, sK597: ($i > $o) > $i > $i). 1.44/0.66 thf(func_def_923, type, sK604: $i > $i > $i > $i > $i). 1.44/0.66 thf(func_def_924, type, sK605: $i > $i > $i > $i). 1.44/0.66 thf(func_def_925, type, sK606: $i > $i > $i > $i). 1.44/0.66 thf(func_def_929, type, sK610: ($i > $o) > $i > $i). 1.44/0.66 thf(func_def_931, type, sK612: $i > $o). 1.44/0.66 thf(func_def_943, type, sK624: $i > $i > $o). 1.44/0.66 thf(func_def_947, type, sK628: $i > $i). 1.44/0.66 thf(func_def_950, type, sK631: $i > $i > ($i > $i) > $i). 1.44/0.66 thf(func_def_967, type, sK648: $i > $i > $i). 1.44/0.66 thf(func_def_982, type, sK663: $i > $i > $i > $i > $i). 1.44/0.66 thf(func_def_1002, type, sK683: $i > $o). 1.44/0.66 thf(func_def_1004, type, sK685: ($i > $o) > $i > $i). 1.44/0.66 thf(func_def_1007, type, sK688: $i > $o). 1.44/0.66 thf(func_def_1030, type, sK711: $i > $i > $i). 1.44/0.66 thf(func_def_1043, type, sK724: $i > $i). 1.44/0.66 thf(func_def_1051, type, sK732: $i > $o). 1.44/0.66 thf(func_def_1053, type, sK734: ($i > $i) > $i > $i > $i). 1.44/0.66 thf(func_def_1056, type, sK737: $i > $i). 1.44/0.66 thf(func_def_1076, type, sK757: $i > $i). 1.44/0.66 thf(func_def_1079, type, sK760: $i > $i). 1.44/0.66 thf(func_def_1082, type, sK763: $i > $o). 1.44/0.66 thf(func_def_1084, type, sK765: ($i > $o) > $i). 1.44/0.66 thf(func_def_1085, type, sK766: ($i > $o) > $i). 1.44/0.66 thf(func_def_1089, type, sK770: $i > $i > $i > $i). 1.44/0.66 thf(func_def_1098, type, sK779: $i > $i > $i). 1.44/0.66 thf(func_def_1110, type, sK791: $i > $i > $o). 1.44/0.66 thf(func_def_1126, type, sK807: $i > $o). 1.44/0.66 thf(func_def_1127, type, sK808: $i > $i). 1.44/0.66 thf(func_def_1128, type, sK809: ($i > $o) > $i). 1.44/0.66 thf(func_def_1135, type, sK816: $i > $o). 1.44/0.66 thf(func_def_1136, type, sK817: $i > $o). 1.44/0.66 thf(func_def_1137, type, sK818: ($i > $o) > ($i > $o) > $i). 1.44/0.66 thf(func_def_1138, type, sK819: ($i > $o) > ($i > $o) > $i). 1.44/0.66 thf(func_def_1166, type, sK847: $i > ($i > $o) > $i). 1.44/0.66 thf(func_def_1167, type, sK848: $i > $o). 1.44/0.66 thf(func_def_1182, type, ph863: !>[X0: $tType]:(X0)). 1.44/0.66 thf(f4635,plain,( 1.44/0.66 $false), 1.44/0.66 inference(avatar_sat_refutation,[],[f4309,f4351,f4454,f4487,f4547,f4618])). 1.44/0.66 thf(f4618,plain,( 1.44/0.66 spl862_25 | spl862_13), 1.44/0.66 inference(avatar_split_clause,[],[f4617,f4258,f4481])). 1.44/0.66 thf(f4481,plain,( 1.44/0.66 spl862_25 <=> ((in @ sK230 @ sK228) = $true)), 1.44/0.66 introduced(avatar_definition,[new_symbols(naming,[spl862_25])])). 1.44/0.66 thf(f4258,plain,( 1.44/0.66 spl862_13 <=> ($true = (in @ sK230 @ (setminus @ sK227 @ sK228)))), 1.44/0.66 introduced(avatar_definition,[new_symbols(naming,[spl862_13])])). 1.44/0.66 thf(f4617,plain,( 1.44/0.66 ((in @ sK230 @ sK228) = $true) | spl862_13), 1.44/0.66 inference(trivial_inequality_removal,[],[f4616])). 1.44/0.66 thf(f4616,plain,( 1.44/0.66 ($true != $true) | ((in @ sK230 @ sK228) = $true) | spl862_13), 1.44/0.66 inference(forward_demodulation,[],[f4615,f2942])). 1.44/0.66 thf(f2942,plain,( 1.44/0.66 (setminusI = $true)), 1.44/0.66 inference(cnf_transformation,[],[f1544])). 1.44/0.66 thf(f1544,plain,( 1.44/0.66 (binunionTE = $true) & (dsetconstrER = $true) & (powersetE = $true) & (kfstsingleton = $true) & (binintersectSubset5 = $true) & (symdiffI2 = $true) & (setminusSubset2 = $true) & (omega__Cong = $true) & (setukpairinjR2 = $true) & (binintersectSubset4 = $true) & (exuE3u = $true) & (complementTI1 = $true) & (binunionIR = $true) & (funcext = $true) & (binunionE = $true) & (iftrue = $true) & (doubleComplementSub1 = $true) & (exuE1 = $true) & (brelnall2 = $true) & (ubforcartprodlem1 = $true) & (ap2apEq2 = $true) & (complementTcontraSubset = $true) & (inComplementUnionImpInComplement1 = $true) & (upairsetIR = $true) & (contraSubsetComplement = $true) & (setadjoinIR = $true) & (notinemptyset = $true) & (emptysetsubset = $true) & (eqimpsubset1 = $true) & (sepInPowerset = $true) & (dsetconstrEL = $true) & (dpsetconstrER = $true) & (exuI2 = $true) & (binintersectSubset1 = $true) & (prop2setI = $true) & (binintersectSubset2 = $true) & (eta2 = $true) & (inPowerset = $true) & (binunionRsub = $true) & (binunionIL = $true) & (disjointsetsI1 = $true) & (singletonsswitch = $true) & (nonemptyI1 = $true) & (notsubsetI = $true) & (theeq = $true) & (contrasubsetT1 = $true) & (dpsetconstrI = $true) & (setminusEL = $true) & (notequalI2 = $true) & (emptyinPowerset = $true) & (cartprodfstpairEq = $true) & (intersectInPowersetIntersectUnions = $true) & (exuI3 = $true) & (ifp = $true) & (setminusER = $true) & (quantDeMorgan3 = $true) & (iffalseProp2 = $true) & (ap2apEq1 = $true) & (setadjoinOr = $true) & (exuE2 = $true) & (binunionLsub = $true) & (exuEu = $true) & (omegaIndAx = $true) & (prop2set2propI = $true) & (lam2p = $true) & (demorgan2a1 = $true) & (binintersectTERcontra = $true) & (emptyE1 = $true) & (inIntersectImpInUnion = $true) & (notdallE = $true) & (apProp = $true) & (eta1 = $true) & (emptyInPowerset = $true) & (setextT = $true) & (setadjoinE = $true) & (emptysetAx = $true) & (setunionI = $true) & (exu__Cong = $true) & (complementSubsetComplementIntersect = $true) & (contrasubsetT2 = $true) & (binunionTEcontra = $true) & (binunionTILcontra = $true) & (setukpairinjL2 = $true) & (ifSingleton = $true) & (ksndpairEq = $true) & (iftrueProp1 = $true) & (powersetAx = $true) & (ex1E2 = $true) & (funcGraphProp1 = $true) & (setOfPairsIsBReln = $true) & (setminusERneg = $true) & (cartprodpairin = $true) & (setukpairinjR1 = $true) & (binintersectLsub = $true) & (exuE3e = $true) & (emptyI = $true) & (theprop = $true) & (upairsubunion = $true) & (omegaSAx = $true) & (secondinupair = $true) & (symdiffI1 = $true) & (ex1I = $true) & (funcinfuncset = $true) & (wellorderingAx = $true) & (setunionE = $true) & (emptysetimpfalse = $true) & (binintersectTELcontra = $true) & (powersetI1 = $true) & (noeltsimpempty = $true) & (descr__Cong = $true) & (binunionT_lem = $true) & (iftrueorfalse = $true) & (upairset2E = $true) & (quantDeMorgan4 = $true) & (in__Cong = $true) & (inComplementUnionImpNotIn1 = $true) & (powersetTE1 = $true) & (complementUnionInPowersetComplement = $true) & (vacuousDall = $true) & (complementT_lem = $true) & (inIntersectImpInUnion2 = $true) & (setunionsingleton2 = $true) & (dsetconstrI = $true) & (complementTE1 = $true) & (prop2setE = $true) & (kpairp = $true) & (binintersectI = $true) & (upairset2IR = $true) & (emptyset__Cong = $true) & (omega0Ax = $true) & (setminusI = $true) & (cartprodsndin = $true) & (binintersectEL = $true) & (cartprodpairmemEL = $true) & (setukpairinjR = $true) & (dpsetconstrEL1 = $true) & (subset2powerset = $true) & (singletonprop = $true) & (setextAx = $true) & (setunionE2 = $true) & (setukpairinjR11 = $true) & (powersetT_lem = $true) & (doubleComplementEq = $true) & (subsetI2 = $true) & (cartprodpairsurjEq = $true) & (setukpairinjL1 = $true) & (subsetTrans = $true) & (ubforcartprodlem2 = $true) & (setminusT_lem = $true) & (upairsetE = $true) & (iftrueProp2 = $true) & (nonemptyE1 = $true) & (setunionAx = $true) & (dpsetconstrERa = $true) & (powerset__Cong = $true) & (notequalI1 = $true) & (lamp = $true) & (inCongP = $true) & (setoftrueEq = $true) & (singletoninpowunion = $true) & (lam2lamEq = $true) & (cartprodmempair = $true) & (quantDeMorgan1 = $true) & (doubleComplementE1 = $true) & (complementTnotintersectT = $true) & (subsetE = $true) & (setbeta = $true) & (beta1 = $true) & (setadjoinAx = $true) & (setminusIRneg = $true) & (symdiffIneg1 = $true) & (binintersectRsub = $true) & (funcImageSingleton = $true) & (binintersectSubset3 = $true) & (dpsetconstrEL2 = $true) & (singletonsubset = $true) & (singletonsuniq = $true) & (funcGraphProp3 = $true) & (complementImpComplementIntersect = $true) & (app = $true) & (cartprodpairmemER = $true) & (ap2p = $true) & (kpairsurjEq = $true) & (setukpairinjR12 = $true) & (symdiffE = $true) & (subsetI1 = $true) & (ex1I2 = $true) & (upairinpowunion = $true) & (dsetconstr__Cong = $true) & (powersetI = $true) & (setukpairIL = $true) & (doubleComplementSub2 = $true) & (contrasubsetT3 = $true) & (setext = $true) & (binintersectT_lem = $true) & (quantDeMorgan2 = $true) & (binunionTIRcontra = $true) & (funcext2 = $true) & (eqimpsubset2 = $true) & (setminusLsub = $true) & (setminusSubset1 = $true) & (powersetE1 = $true) & (uniqinunit = $true) & (setunionsingleton1 = $true) & (upairsetIL = $true) & (nonemptyImpWitness = $true) & (subsetemptysetimpeq = $true) & (setminusELneg = $true) & (ubforcartprodlem3 = $true) & (contrasubsetT = $true) & (descrp = $true) & (subbreln = $true) & (upairequniteq = $true) & (kfstpairEq = $true) & (infuncsetfunc = $true) & (setextsub = $true) & (setadjoinSub = $true) & (exuI1 = $true) & (cartprodmempaircEq = $true) & (singletoninpowerset = $true) & (brelnall1 = $true) & (setunion__Cong = $true) & (ksndsingleton = $true) & (demorgan2a2 = $true) & (beta2 = $true) & (iffalse = $true) & (foundationAx = $true) & (cartprodsndpairEq = $true) & (powersetTI1 = $true) & (setukpairinjL = $true) & (doubleComplementI1 = $true) & (inIntersectImpInIntersectUnions = $true) & (kpairiskpair = $true) & (setadjoinIL = $true) & (subPowSU = $true) & (powersetsubset = $true) & (eqinunit = $true) & (notinsingleton = $true) & (cartprodfstin = $true) & (eqbreln = $true) & (lamProp = $true) & ((((in @ sK229 @ (powerset @ sK227)) = $true) & (($true = (in @ sK230 @ sK227)) & ((in @ sK230 @ (setminus @ sK227 @ (binintersect @ sK228 @ sK229))) = $true) & ($true != (in @ sK230 @ (binunion @ (setminus @ sK227 @ sK228) @ (setminus @ sK227 @ sK229)))))) & ($true = (in @ sK228 @ (powerset @ sK227)))) & (binintersectER = $true) & (subsetE2 = $true) & (nonemptyI = $true) & (cartprodmempair1 = $true) & (replAx = $true) & (binunionEcases = $true) & (complementInPowersetComplementIntersect = $true) & (setunionsingleton = $true) & (setukpairIR = $true) & (funcGraphProp4 = $true) & (ex1E1 = $true) & (emptyinunitempty = $true) & (setminusILneg = $true) & (subsetTI = $true) & (subsetRefl = $true) & (sepSubset = $true) & (setadjoinSub2 = $true) & (emptysetE = $true) & (symdiffIneg2 = $true) & (notdexE = $true) & (funcextLem = $true) & (dpsetconstrSub = $true) & (funcGraphProp2 = $true) & (iffalseProp1 = $true) & (setadjoin__Cong = $true) & (bs114d = $true)), 1.44/0.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK227,sK228,sK229,sK230])],[f1141,f1543,f1542,f1541])). 1.44/0.66 thf(f1541,plain,( 1.44/0.66 ? [X0,X1] : (? [X2] : (((in @ X2 @ (powerset @ X0)) = $true) & ? [X3] : (($true = (in @ X3 @ X0)) & ($true = (in @ X3 @ (setminus @ X0 @ (binintersect @ X1 @ X2)))) & ($true != (in @ X3 @ (binunion @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)))))) & ($true = (in @ X1 @ (powerset @ X0)))) => (? [X2] : (((in @ X2 @ (powerset @ sK227)) = $true) & ? [X3] : (($true = (in @ X3 @ sK227)) & ((in @ X3 @ (setminus @ sK227 @ (binintersect @ sK228 @ X2))) = $true) & ($true != (in @ X3 @ (binunion @ (setminus @ sK227 @ sK228) @ (setminus @ sK227 @ X2)))))) & ($true = (in @ sK228 @ (powerset @ sK227))))), 1.44/0.66 introduced(choice_axiom,[])). 1.44/0.66 thf(f1542,plain,( 1.44/0.66 ? [X2] : (((in @ X2 @ (powerset @ sK227)) = $true) & ? [X3] : (($true = (in @ X3 @ sK227)) & ((in @ X3 @ (setminus @ sK227 @ (binintersect @ sK228 @ X2))) = $true) & ($true != (in @ X3 @ (binunion @ (setminus @ sK227 @ sK228) @ (setminus @ sK227 @ X2)))))) => (((in @ sK229 @ (powerset @ sK227)) = $true) & ? [X3] : (($true = (in @ X3 @ sK227)) & ((in @ X3 @ (setminus @ sK227 @ (binintersect @ sK228 @ sK229))) = $true) & ((in @ X3 @ (binunion @ (setminus @ sK227 @ sK228) @ (setminus @ sK227 @ sK229))) != $true)))), 1.44/0.66 introduced(choice_axiom,[])). 1.44/0.66 thf(f1543,plain,( 1.44/0.66 ? [X3] : (($true = (in @ X3 @ sK227)) & ((in @ X3 @ (setminus @ sK227 @ (binintersect @ sK228 @ sK229))) = $true) & ((in @ X3 @ (binunion @ (setminus @ sK227 @ sK228) @ (setminus @ sK227 @ sK229))) != $true)) => (($true = (in @ sK230 @ sK227)) & ((in @ sK230 @ (setminus @ sK227 @ (binintersect @ sK228 @ sK229))) = $true) & ($true != (in @ sK230 @ (binunion @ (setminus @ sK227 @ sK228) @ (setminus @ sK227 @ sK229)))))), 1.44/0.66 introduced(choice_axiom,[])). 1.44/0.66 thf(f1141,plain,( 1.44/0.66 (binunionTE = $true) & (dsetconstrER = $true) & (powersetE = $true) & (kfstsingleton = $true) & (binintersectSubset5 = $true) & (symdiffI2 = $true) & (setminusSubset2 = $true) & (omega__Cong = $true) & (setukpairinjR2 = $true) & (binintersectSubset4 = $true) & (exuE3u = $true) & (complementTI1 = $true) & (binunionIR = $true) & (funcext = $true) & (binunionE = $true) & (iftrue = $true) & (doubleComplementSub1 = $true) & (exuE1 = $true) & (brelnall2 = $true) & (ubforcartprodlem1 = $true) & (ap2apEq2 = $true) & (complementTcontraSubset = $true) & (inComplementUnionImpInComplement1 = $true) & (upairsetIR = $true) & (contraSubsetComplement = $true) & (setadjoinIR = $true) & (notinemptyset = $true) & (emptysetsubset = $true) & (eqimpsubset1 = $true) & (sepInPowerset = $true) & (dsetconstrEL = $true) & (dpsetconstrER = $true) & (exuI2 = $true) & (binintersectSubset1 = $true) & (prop2setI = $true) & (binintersectSubset2 = $true) & (eta2 = $true) & (inPowerset = $true) & (binunionRsub = $true) & (binunionIL = $true) & (disjointsetsI1 = $true) & (singletonsswitch = $true) & (nonemptyI1 = $true) & (notsubsetI = $true) & (theeq = $true) & (contrasubsetT1 = $true) & (dpsetconstrI = $true) & (setminusEL = $true) & (notequalI2 = $true) & (emptyinPowerset = $true) & (cartprodfstpairEq = $true) & (intersectInPowersetIntersectUnions = $true) & (exuI3 = $true) & (ifp = $true) & (setminusER = $true) & (quantDeMorgan3 = $true) & (iffalseProp2 = $true) & (ap2apEq1 = $true) & (setadjoinOr = $true) & (exuE2 = $true) & (binunionLsub = $true) & (exuEu = $true) & (omegaIndAx = $true) & (prop2set2propI = $true) & (lam2p = $true) & (demorgan2a1 = $true) & (binintersectTERcontra = $true) & (emptyE1 = $true) & (inIntersectImpInUnion = $true) & (notdallE = $true) & (apProp = $true) & (eta1 = $true) & (emptyInPowerset = $true) & (setextT = $true) & (setadjoinE = $true) & (emptysetAx = $true) & (setunionI = $true) & (exu__Cong = $true) & (complementSubsetComplementIntersect = $true) & (contrasubsetT2 = $true) & (binunionTEcontra = $true) & (binunionTILcontra = $true) & (setukpairinjL2 = $true) & (ifSingleton = $true) & (ksndpairEq = $true) & (iftrueProp1 = $true) & (powersetAx = $true) & (ex1E2 = $true) & (funcGraphProp1 = $true) & (setOfPairsIsBReln = $true) & (setminusERneg = $true) & (cartprodpairin = $true) & (setukpairinjR1 = $true) & (binintersectLsub = $true) & (exuE3e = $true) & (emptyI = $true) & (theprop = $true) & (upairsubunion = $true) & (omegaSAx = $true) & (secondinupair = $true) & (symdiffI1 = $true) & (ex1I = $true) & (funcinfuncset = $true) & (wellorderingAx = $true) & (setunionE = $true) & (emptysetimpfalse = $true) & (binintersectTELcontra = $true) & (powersetI1 = $true) & (noeltsimpempty = $true) & (descr__Cong = $true) & (binunionT_lem = $true) & (iftrueorfalse = $true) & (upairset2E = $true) & (quantDeMorgan4 = $true) & (in__Cong = $true) & (inComplementUnionImpNotIn1 = $true) & (powersetTE1 = $true) & (complementUnionInPowersetComplement = $true) & (vacuousDall = $true) & (complementT_lem = $true) & (inIntersectImpInUnion2 = $true) & (setunionsingleton2 = $true) & (dsetconstrI = $true) & (complementTE1 = $true) & (prop2setE = $true) & (kpairp = $true) & (binintersectI = $true) & (upairset2IR = $true) & (emptyset__Cong = $true) & (omega0Ax = $true) & (setminusI = $true) & (cartprodsndin = $true) & (binintersectEL = $true) & (cartprodpairmemEL = $true) & (setukpairinjR = $true) & (dpsetconstrEL1 = $true) & (subset2powerset = $true) & (singletonprop = $true) & (setextAx = $true) & (setunionE2 = $true) & (setukpairinjR11 = $true) & (powersetT_lem = $true) & (doubleComplementEq = $true) & (subsetI2 = $true) & (cartprodpairsurjEq = $true) & (setukpairinjL1 = $true) & (subsetTrans = $true) & (ubforcartprodlem2 = $true) & (setminusT_lem = $true) & (upairsetE = $true) & (iftrueProp2 = $true) & (nonemptyE1 = $true) & (setunionAx = $true) & (dpsetconstrERa = $true) & (powerset__Cong = $true) & (notequalI1 = $true) & (lamp = $true) & (inCongP = $true) & (setoftrueEq = $true) & (singletoninpowunion = $true) & (lam2lamEq = $true) & (cartprodmempair = $true) & (quantDeMorgan1 = $true) & (doubleComplementE1 = $true) & (complementTnotintersectT = $true) & (subsetE = $true) & (setbeta = $true) & (beta1 = $true) & (setadjoinAx = $true) & (setminusIRneg = $true) & (symdiffIneg1 = $true) & (binintersectRsub = $true) & (funcImageSingleton = $true) & (binintersectSubset3 = $true) & (dpsetconstrEL2 = $true) & (singletonsubset = $true) & (singletonsuniq = $true) & (funcGraphProp3 = $true) & (complementImpComplementIntersect = $true) & (app = $true) & (cartprodpairmemER = $true) & (ap2p = $true) & (kpairsurjEq = $true) & (setukpairinjR12 = $true) & (symdiffE = $true) & (subsetI1 = $true) & (ex1I2 = $true) & (upairinpowunion = $true) & (dsetconstr__Cong = $true) & (powersetI = $true) & (setukpairIL = $true) & (doubleComplementSub2 = $true) & (contrasubsetT3 = $true) & (setext = $true) & (binintersectT_lem = $true) & (quantDeMorgan2 = $true) & (binunionTIRcontra = $true) & (funcext2 = $true) & (eqimpsubset2 = $true) & (setminusLsub = $true) & (setminusSubset1 = $true) & (powersetE1 = $true) & (uniqinunit = $true) & (setunionsingleton1 = $true) & (upairsetIL = $true) & (nonemptyImpWitness = $true) & (subsetemptysetimpeq = $true) & (setminusELneg = $true) & (ubforcartprodlem3 = $true) & (contrasubsetT = $true) & (descrp = $true) & (subbreln = $true) & (upairequniteq = $true) & (kfstpairEq = $true) & (infuncsetfunc = $true) & (setextsub = $true) & (setadjoinSub = $true) & (exuI1 = $true) & (cartprodmempaircEq = $true) & (singletoninpowerset = $true) & (brelnall1 = $true) & (setunion__Cong = $true) & (ksndsingleton = $true) & (demorgan2a2 = $true) & (beta2 = $true) & (iffalse = $true) & (foundationAx = $true) & (cartprodsndpairEq = $true) & (powersetTI1 = $true) & (setukpairinjL = $true) & (doubleComplementI1 = $true) & (inIntersectImpInIntersectUnions = $true) & (kpairiskpair = $true) & (setadjoinIL = $true) & (subPowSU = $true) & (powersetsubset = $true) & (eqinunit = $true) & (notinsingleton = $true) & (cartprodfstin = $true) & (eqbreln = $true) & (lamProp = $true) & ? [X0,X1] : (? [X2] : (((in @ X2 @ (powerset @ X0)) = $true) & ? [X3] : (($true = (in @ X3 @ X0)) & ($true = (in @ X3 @ (setminus @ X0 @ (binintersect @ X1 @ X2)))) & ($true != (in @ X3 @ (binunion @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)))))) & ($true = (in @ X1 @ (powerset @ X0)))) & (binintersectER = $true) & (subsetE2 = $true) & (nonemptyI = $true) & (cartprodmempair1 = $true) & (replAx = $true) & (binunionEcases = $true) & (complementInPowersetComplementIntersect = $true) & (setunionsingleton = $true) & (setukpairIR = $true) & (funcGraphProp4 = $true) & (ex1E1 = $true) & (emptyinunitempty = $true) & (setminusILneg = $true) & (subsetTI = $true) & (subsetRefl = $true) & (sepSubset = $true) & (setadjoinSub2 = $true) & (emptysetE = $true) & (symdiffIneg2 = $true) & (notdexE = $true) & (funcextLem = $true) & (dpsetconstrSub = $true) & (funcGraphProp2 = $true) & (iffalseProp1 = $true) & (setadjoin__Cong = $true) & (bs114d = $true)), 1.44/0.66 inference(flattening,[],[f1140])). 1.44/0.66 thf(f1140,plain,( 1.44/0.66 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : (? [X3] : ((($true != (in @ X3 @ (binunion @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)))) & ($true = (in @ X3 @ (setminus @ X0 @ (binintersect @ X1 @ X2))))) & ($true = (in @ X3 @ X0))) & ((in @ X2 @ (powerset @ X0)) = $true)) & ($true = (in @ X1 @ (powerset @ X0)))) & (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)), 1.44/0.66 inference(ennf_transformation,[],[f457])). 1.44/0.66 thf(f457,plain,( 1.44/0.66 ~((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 = $true) => ! [X0,X1] : (($true = (in @ X1 @ (powerset @ X0))) => ! [X2] : (((in @ X2 @ (powerset @ X0)) = $true) => ! [X3] : (($true = (in @ X3 @ X0)) => (($true = (in @ X3 @ (setminus @ X0 @ (binintersect @ X1 @ X2)))) => ($true = (in @ X3 @ (binunion @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.44/0.66 inference(fool_elimination,[],[f456])). 1.44/0.66 thf(f456,plain,( 1.44/0.66 ~(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 => ! [X0,X1] : ((in @ X1 @ (powerset @ X0)) => ! [X2] : ((in @ X2 @ (powerset @ X0)) => ! [X3] : ((in @ X3 @ X0) => ((in @ X3 @ (setminus @ X0 @ (binintersect @ X1 @ X2))) => (in @ X3 @ (binunion @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.44/0.66 inference(rectify,[],[f273])). 1.44/0.66 thf(f273,negated_conjecture,( 1.44/0.66 ~(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 => ! [X3,X11] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ (setminus @ X3 @ (binintersect @ X11 @ X16))) => (in @ X1 @ (binunion @ (setminus @ X3 @ X11) @ (setminus @ X3 @ X16))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.44/0.66 inference(negated_conjecture,[],[f272])). 1.44/0.66 thf(f272,conjecture,( 1.44/0.66 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 => ! [X3,X11] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ (setminus @ X3 @ (binintersect @ X11 @ X16))) => (in @ X1 @ (binunion @ (setminus @ X3 @ X11) @ (setminus @ X3 @ X16)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.44/0.66 file('/export/starexec/sandbox/tmp/tmp.FrwtHVt93O/E---3.1_20654.p',demorgan1a)). 1.44/0.66 thf(f4615,plain,( 1.44/0.66 ((in @ sK230 @ sK228) = $true) | (setminusI != $true) | spl862_13), 1.44/0.66 inference(trivial_inequality_removal,[],[f4614])). 1.44/0.66 thf(f4614,plain,( 1.44/0.66 ((in @ sK230 @ sK228) = $true) | (setminusI != $true) | ($true != $true) | spl862_13), 1.44/0.66 inference(forward_demodulation,[],[f4590,f4284])). 1.44/0.66 thf(f4284,plain,( 1.44/0.66 ($true = (in @ sK230 @ sK227))), 1.44/0.66 inference(trivial_inequality_removal,[],[f4283])). 1.44/0.66 thf(f4283,plain,( 1.44/0.66 ($true != $true) | ($true = (in @ sK230 @ sK227))), 1.44/0.66 inference(forward_demodulation,[],[f4201,f2814])). 1.44/0.66 thf(f2814,plain,( 1.44/0.66 (setminusILneg = $true)), 1.44/0.66 inference(cnf_transformation,[],[f1544])). 1.44/0.66 thf(f4201,plain,( 1.44/0.66 ($true = (in @ sK230 @ sK227)) | (setminusILneg != $true)), 1.44/0.66 inference(trivial_inequality_removal,[],[f4194])). 1.44/0.66 thf(f4194,plain,( 1.44/0.66 ($true != $true) | (setminusILneg != $true) | ($true = (in @ sK230 @ sK227))), 1.44/0.66 inference(superposition,[],[f3303,f2829])). 1.44/0.66 thf(f2829,plain,( 1.44/0.66 ((in @ sK230 @ (setminus @ sK227 @ (binintersect @ sK228 @ sK229))) = $true)), 1.44/0.66 inference(cnf_transformation,[],[f1544])). 1.44/0.66 thf(f3303,plain,( 1.44/0.66 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ X2 @ (setminus @ X0 @ X1))) | (setminusILneg != $true) | ((in @ X2 @ X0) = $true)) )), 1.44/0.66 inference(cnf_transformation,[],[f1822])). 1.44/0.66 thf(f1822,plain,( 1.44/0.66 (! [X0,X1,X2] : (((in @ X2 @ X0) = $true) | ($true != (in @ X2 @ (setminus @ X0 @ X1)))) | (setminusILneg != $true)) & ((setminusILneg = $true) | (((in @ sK412 @ sK410) != $true) & ($true = (in @ sK412 @ (setminus @ sK410 @ sK411)))))), 1.44/0.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK410,sK411,sK412])],[f1820,f1821])). 1.44/0.66 thf(f1821,plain,( 1.44/0.66 ? [X3,X4,X5] : (((in @ X5 @ X3) != $true) & ((in @ X5 @ (setminus @ X3 @ X4)) = $true)) => (((in @ sK412 @ sK410) != $true) & ($true = (in @ sK412 @ (setminus @ sK410 @ sK411))))), 1.44/0.66 introduced(choice_axiom,[])). 1.44/0.66 thf(f1820,plain,( 1.44/0.66 (! [X0,X1,X2] : (((in @ X2 @ X0) = $true) | ($true != (in @ X2 @ (setminus @ X0 @ X1)))) | (setminusILneg != $true)) & ((setminusILneg = $true) | ? [X3,X4,X5] : (((in @ X5 @ X3) != $true) & ((in @ X5 @ (setminus @ X3 @ X4)) = $true)))), 1.44/0.66 inference(rectify,[],[f1819])). 1.44/0.66 thf(f1819,plain,( 1.44/0.66 (! [X0,X1,X2] : (((in @ X2 @ X0) = $true) | ($true != (in @ X2 @ (setminus @ X0 @ X1)))) | (setminusILneg != $true)) & ((setminusILneg = $true) | ? [X0,X1,X2] : (((in @ X2 @ X0) != $true) & ($true = (in @ X2 @ (setminus @ X0 @ X1)))))), 1.44/0.66 inference(nnf_transformation,[],[f935])). 1.44/0.66 thf(f935,plain,( 1.44/0.66 ! [X0,X1,X2] : (((in @ X2 @ X0) = $true) | ($true != (in @ X2 @ (setminus @ X0 @ X1)))) <=> (setminusILneg = $true)), 1.44/0.66 inference(ennf_transformation,[],[f827])). 1.44/0.66 thf(f827,plain,( 1.44/0.66 ! [X0,X1,X2] : (((in @ X2 @ X0) != $true) => ($true != (in @ X2 @ (setminus @ X0 @ X1)))) <=> (setminusILneg = $true)), 1.44/0.66 inference(flattening,[],[f417])). 1.44/0.66 thf(f417,plain,( 1.44/0.66 ! [X0,X1,X2] : (~((in @ X2 @ X0) = $true) => ~($true = (in @ X2 @ (setminus @ X0 @ X1)))) <=> (setminusILneg = $true)), 1.44/0.66 inference(fool_elimination,[],[f416])). 1.44/0.66 thf(f416,plain,( 1.44/0.66 (! [X0,X1,X2] : (~(in @ X2 @ X0) => ~(in @ X2 @ (setminus @ X0 @ X1))) = setminusILneg)), 1.44/0.66 inference(rectify,[],[f126])). 1.44/0.66 thf(f126,axiom,( 1.44/0.66 (! [X3,X4,X1] : (~(in @ X1 @ X3) => ~(in @ X1 @ (setminus @ X3 @ X4))) = setminusILneg)), 1.44/0.66 file('/export/starexec/sandbox/tmp/tmp.FrwtHVt93O/E---3.1_20654.p',setminusILneg)). 1.44/0.66 thf(f4590,plain,( 1.44/0.66 ((in @ sK230 @ sK228) = $true) | ($true != (in @ sK230 @ sK227)) | (setminusI != $true) | spl862_13), 1.44/0.66 inference(trivial_inequality_removal,[],[f4579])). 1.44/0.66 thf(f4579,plain,( 1.44/0.66 ($true != $true) | ($true != (in @ sK230 @ sK227)) | ((in @ sK230 @ sK228) = $true) | (setminusI != $true) | spl862_13), 1.44/0.66 inference(superposition,[],[f4259,f3658])). 1.44/0.66 thf(f3658,plain,( 1.44/0.66 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true = (in @ X3 @ (setminus @ X4 @ X5))) | (setminusI != $true) | ($true = (in @ X3 @ X5)) | ($true != (in @ X3 @ X4))) )), 1.44/0.66 inference(cnf_transformation,[],[f2206])). 1.44/0.66 thf(f2206,plain,( 1.44/0.66 ((setminusI = $true) | (($true = (in @ sK664 @ sK665)) & ($true != (in @ sK664 @ (setminus @ sK665 @ sK666))) & ((in @ sK664 @ sK666) != $true))) & (! [X3,X4,X5] : (($true != (in @ X3 @ X4)) | ($true = (in @ X3 @ (setminus @ X4 @ X5))) | ($true = (in @ X3 @ X5))) | (setminusI != $true))), 1.44/0.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK664,sK665,sK666])],[f2204,f2205])). 1.44/0.66 thf(f2205,plain,( 1.44/0.66 ? [X0,X1,X2] : (($true = (in @ X0 @ X1)) & ($true != (in @ X0 @ (setminus @ X1 @ X2))) & ($true != (in @ X0 @ X2))) => (($true = (in @ sK664 @ sK665)) & ($true != (in @ sK664 @ (setminus @ sK665 @ sK666))) & ((in @ sK664 @ sK666) != $true))), 1.44/0.66 introduced(choice_axiom,[])). 1.44/0.66 thf(f2204,plain,( 1.44/0.66 ((setminusI = $true) | ? [X0,X1,X2] : (($true = (in @ X0 @ X1)) & ($true != (in @ X0 @ (setminus @ X1 @ X2))) & ($true != (in @ X0 @ X2)))) & (! [X3,X4,X5] : (($true != (in @ X3 @ X4)) | ($true = (in @ X3 @ (setminus @ X4 @ X5))) | ($true = (in @ X3 @ X5))) | (setminusI != $true))), 1.44/0.66 inference(rectify,[],[f2203])). 1.44/0.66 thf(f2203,plain,( 1.44/0.66 ((setminusI = $true) | ? [X0,X1,X2] : (($true = (in @ X0 @ X1)) & ($true != (in @ X0 @ (setminus @ X1 @ X2))) & ($true != (in @ X0 @ X2)))) & (! [X0,X1,X2] : (($true != (in @ X0 @ X1)) | ($true = (in @ X0 @ (setminus @ X1 @ X2))) | ($true = (in @ X0 @ X2))) | (setminusI != $true))), 1.44/0.66 inference(nnf_transformation,[],[f937])). 1.44/0.66 thf(f937,plain,( 1.44/0.66 (setminusI = $true) <=> ! [X0,X1,X2] : (($true != (in @ X0 @ X1)) | ($true = (in @ X0 @ (setminus @ X1 @ X2))) | ($true = (in @ X0 @ X2)))), 1.44/0.66 inference(flattening,[],[f936])). 1.44/0.66 thf(f936,plain,( 1.44/0.66 ! [X0,X1,X2] : ((($true = (in @ X0 @ (setminus @ X1 @ X2))) | ($true = (in @ X0 @ X2))) | ($true != (in @ X0 @ X1))) <=> (setminusI = $true)), 1.44/0.66 inference(ennf_transformation,[],[f830])). 1.44/0.66 thf(f830,plain,( 1.44/0.66 ! [X0,X1,X2] : (($true = (in @ X0 @ X1)) => (($true != (in @ X0 @ X2)) => ($true = (in @ X0 @ (setminus @ X1 @ X2))))) <=> (setminusI = $true)), 1.44/0.66 inference(flattening,[],[f479])). 1.44/0.66 thf(f479,plain,( 1.44/0.66 (setminusI = $true) <=> ! [X0,X1,X2] : (($true = (in @ X0 @ X1)) => (~($true = (in @ X0 @ X2)) => ($true = (in @ X0 @ (setminus @ X1 @ X2)))))), 1.44/0.66 inference(fool_elimination,[],[f478])). 1.44/0.66 thf(f478,plain,( 1.44/0.66 (setminusI = ! [X0,X1,X2] : ((in @ X0 @ X1) => (~(in @ X0 @ X2) => (in @ X0 @ (setminus @ X1 @ X2)))))), 1.44/0.66 inference(rectify,[],[f120])). 1.44/0.66 thf(f120,axiom,( 1.44/0.66 (setminusI = ! [X1,X3,X4] : ((in @ X1 @ X3) => (~(in @ X1 @ X4) => (in @ X1 @ (setminus @ X3 @ X4)))))), 1.44/0.66 file('/export/starexec/sandbox/tmp/tmp.FrwtHVt93O/E---3.1_20654.p',setminusI)). 1.44/0.66 thf(f4259,plain,( 1.44/0.66 ($true != (in @ sK230 @ (setminus @ sK227 @ sK228))) | spl862_13), 1.44/0.66 inference(avatar_component_clause,[],[f4258])). 1.44/0.66 thf(f4547,plain,( 1.44/0.66 spl862_24 | spl862_9), 1.44/0.66 inference(avatar_split_clause,[],[f4546,f4234,f4474])). 1.44/0.66 thf(f4474,plain,( 1.44/0.66 spl862_24 <=> ($true = (in @ sK230 @ sK229))), 1.44/0.66 introduced(avatar_definition,[new_symbols(naming,[spl862_24])])). 1.44/0.66 thf(f4234,plain,( 1.44/0.66 spl862_9 <=> ((in @ sK230 @ (setminus @ sK227 @ sK229)) = $true)), 1.44/0.66 introduced(avatar_definition,[new_symbols(naming,[spl862_9])])). 1.44/0.66 thf(f4546,plain,( 1.44/0.66 ($true = (in @ sK230 @ sK229)) | spl862_9), 1.44/0.66 inference(trivial_inequality_removal,[],[f4545])). 1.44/0.66 thf(f4545,plain,( 1.44/0.66 ($true = (in @ sK230 @ sK229)) | ($true != $true) | spl862_9), 1.44/0.66 inference(forward_demodulation,[],[f4544,f4284])). 1.44/0.66 thf(f4544,plain,( 1.44/0.66 ($true != (in @ sK230 @ sK227)) | ($true = (in @ sK230 @ sK229)) | spl862_9), 1.44/0.66 inference(trivial_inequality_removal,[],[f4543])). 1.44/0.66 thf(f4543,plain,( 1.44/0.66 ($true != (in @ sK230 @ sK227)) | ($true = (in @ sK230 @ sK229)) | ($true != $true) | spl862_9), 1.44/0.66 inference(forward_demodulation,[],[f4500,f2865])). 1.44/0.66 thf(f2865,plain,( 1.44/0.66 (setminusELneg = $true)), 1.44/0.66 inference(cnf_transformation,[],[f1544])). 1.44/0.66 thf(f4500,plain,( 1.44/0.66 ($true = (in @ sK230 @ sK229)) | (setminusELneg != $true) | ($true != (in @ sK230 @ sK227)) | spl862_9), 1.44/0.66 inference(trivial_inequality_removal,[],[f4495])). 1.44/0.66 thf(f4495,plain,( 1.44/0.66 (setminusELneg != $true) | ($true = (in @ sK230 @ sK229)) | ($true != (in @ sK230 @ sK227)) | ($true != $true) | spl862_9), 1.44/0.66 inference(superposition,[],[f4235,f3250])). 1.44/0.66 thf(f3250,plain,( 1.44/0.66 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true = (in @ X5 @ (setminus @ X4 @ X3))) | ((in @ X5 @ X3) = $true) | (setminusELneg != $true) | ((in @ X5 @ X4) != $true)) )), 1.44/0.66 inference(cnf_transformation,[],[f1760])). 1.44/0.66 thf(f1760,plain,( 1.44/0.66 ((setminusELneg = $true) | (((in @ sK372 @ sK370) != $true) & ($true != (in @ sK372 @ (setminus @ sK371 @ sK370))) & ((in @ sK372 @ sK371) = $true))) & (! [X3,X4,X5] : (((in @ X5 @ X3) = $true) | ($true = (in @ X5 @ (setminus @ X4 @ X3))) | ((in @ X5 @ X4) != $true)) | (setminusELneg != $true))), 1.44/0.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK370,sK371,sK372])],[f1758,f1759])). 1.44/0.66 thf(f1759,plain,( 1.44/0.66 ? [X0,X1,X2] : (((in @ X2 @ X0) != $true) & ((in @ X2 @ (setminus @ X1 @ X0)) != $true) & ($true = (in @ X2 @ X1))) => (((in @ sK372 @ sK370) != $true) & ($true != (in @ sK372 @ (setminus @ sK371 @ sK370))) & ((in @ sK372 @ sK371) = $true))), 1.44/0.66 introduced(choice_axiom,[])). 1.44/0.66 thf(f1758,plain,( 1.44/0.66 ((setminusELneg = $true) | ? [X0,X1,X2] : (((in @ X2 @ X0) != $true) & ((in @ X2 @ (setminus @ X1 @ X0)) != $true) & ($true = (in @ X2 @ X1)))) & (! [X3,X4,X5] : (((in @ X5 @ X3) = $true) | ($true = (in @ X5 @ (setminus @ X4 @ X3))) | ((in @ X5 @ X4) != $true)) | (setminusELneg != $true))), 1.44/0.66 inference(rectify,[],[f1757])). 1.44/0.66 thf(f1757,plain,( 1.44/0.66 ((setminusELneg = $true) | ? [X0,X1,X2] : (((in @ X2 @ X0) != $true) & ((in @ X2 @ (setminus @ X1 @ X0)) != $true) & ($true = (in @ X2 @ X1)))) & (! [X0,X1,X2] : (((in @ X2 @ X0) = $true) | ((in @ X2 @ (setminus @ X1 @ X0)) = $true) | ($true != (in @ X2 @ X1))) | (setminusELneg != $true))), 1.44/0.66 inference(nnf_transformation,[],[f1168])). 1.44/0.66 thf(f1168,plain,( 1.44/0.66 (setminusELneg = $true) <=> ! [X0,X1,X2] : (((in @ X2 @ X0) = $true) | ((in @ X2 @ (setminus @ X1 @ X0)) = $true) | ($true != (in @ X2 @ X1)))), 1.44/0.66 inference(flattening,[],[f1167])). 1.44/0.66 thf(f1167,plain,( 1.44/0.66 ! [X0,X1,X2] : ((($true != (in @ X2 @ X1)) | ((in @ X2 @ X0) = $true)) | ((in @ X2 @ (setminus @ X1 @ X0)) = $true)) <=> (setminusELneg = $true)), 1.44/0.66 inference(ennf_transformation,[],[f846])). 1.44/0.66 thf(f846,plain,( 1.44/0.66 ! [X0,X1,X2] : (((in @ X2 @ (setminus @ X1 @ X0)) != $true) => (((in @ X2 @ X0) != $true) => ($true != (in @ X2 @ X1)))) <=> (setminusELneg = $true)), 1.44/0.66 inference(flattening,[],[f637])). 1.44/0.66 thf(f637,plain,( 1.44/0.66 ! [X0,X1,X2] : (~((in @ X2 @ (setminus @ X1 @ X0)) = $true) => (~((in @ X2 @ X0) = $true) => ~($true = (in @ X2 @ X1)))) <=> (setminusELneg = $true)), 1.44/0.66 inference(fool_elimination,[],[f636])). 1.44/0.66 thf(f636,plain,( 1.44/0.66 (! [X0,X1,X2] : (~(in @ X2 @ (setminus @ X1 @ X0)) => (~(in @ X2 @ X0) => ~(in @ X2 @ X1))) = setminusELneg)), 1.44/0.66 inference(rectify,[],[f125])). 1.44/0.66 thf(f125,axiom,( 1.44/0.66 (! [X4,X3,X1] : (~(in @ X1 @ (setminus @ X3 @ X4)) => (~(in @ X1 @ X4) => ~(in @ X1 @ X3))) = setminusELneg)), 1.44/0.66 file('/export/starexec/sandbox/tmp/tmp.FrwtHVt93O/E---3.1_20654.p',setminusELneg)). 1.44/0.66 thf(f4235,plain,( 1.44/0.66 ((in @ sK230 @ (setminus @ sK227 @ sK229)) != $true) | spl862_9), 1.44/0.66 inference(avatar_component_clause,[],[f4234])). 1.44/0.66 thf(f4487,plain,( 1.44/0.66 ~spl862_24 | ~spl862_25 | spl862_6), 1.44/0.66 inference(avatar_split_clause,[],[f4486,f4216,f4481,f4474])). 1.44/0.66 thf(f4216,plain,( 1.44/0.66 spl862_6 <=> ((in @ sK230 @ (binintersect @ sK228 @ sK229)) = $true)), 1.44/0.66 introduced(avatar_definition,[new_symbols(naming,[spl862_6])])). 1.44/0.66 thf(f4486,plain,( 1.44/0.66 ((in @ sK230 @ sK228) != $true) | ($true != (in @ sK230 @ sK229)) | spl862_6), 1.44/0.66 inference(trivial_inequality_removal,[],[f4485])). 1.44/0.66 thf(f4485,plain,( 1.44/0.66 ($true != (in @ sK230 @ sK229)) | ((in @ sK230 @ sK228) != $true) | ($true != $true) | spl862_6), 1.44/0.66 inference(forward_demodulation,[],[f4464,f2946])). 1.44/0.66 thf(f2946,plain,( 1.44/0.66 (binintersectI = $true)), 1.44/0.66 inference(cnf_transformation,[],[f1544])). 1.44/0.66 thf(f4464,plain,( 1.44/0.66 (binintersectI != $true) | ($true != (in @ sK230 @ sK229)) | ((in @ sK230 @ sK228) != $true) | spl862_6), 1.44/0.66 inference(trivial_inequality_removal,[],[f4457])). 1.44/0.66 thf(f4457,plain,( 1.44/0.66 (binintersectI != $true) | ((in @ sK230 @ sK228) != $true) | ($true != $true) | ($true != (in @ sK230 @ sK229)) | spl862_6), 1.44/0.66 inference(superposition,[],[f4218,f3322])). 1.44/0.66 thf(f3322,plain,( 1.44/0.66 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X1 @ (binintersect @ X2 @ X0)) = $true) | ((in @ X1 @ X2) != $true) | ($true != (in @ X1 @ X0)) | (binintersectI != $true)) )), 1.44/0.66 inference(cnf_transformation,[],[f1845])). 1.44/0.66 thf(f1845,plain,( 1.44/0.66 (! [X0,X1,X2] : (((in @ X1 @ (binintersect @ X2 @ X0)) = $true) | ($true != (in @ X1 @ X0)) | ((in @ X1 @ X2) != $true)) | (binintersectI != $true)) & ((binintersectI = $true) | (($true != (in @ sK426 @ (binintersect @ sK427 @ sK425))) & ($true = (in @ sK426 @ sK425)) & ($true = (in @ sK426 @ sK427))))), 1.44/0.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK425,sK426,sK427])],[f1843,f1844])). 1.44/0.66 thf(f1844,plain,( 1.44/0.66 ? [X3,X4,X5] : (($true != (in @ X4 @ (binintersect @ X5 @ X3))) & ((in @ X4 @ X3) = $true) & ((in @ X4 @ X5) = $true)) => (($true != (in @ sK426 @ (binintersect @ sK427 @ sK425))) & ($true = (in @ sK426 @ sK425)) & ($true = (in @ sK426 @ sK427)))), 1.44/0.66 introduced(choice_axiom,[])). 1.44/0.66 thf(f1843,plain,( 1.44/0.66 (! [X0,X1,X2] : (((in @ X1 @ (binintersect @ X2 @ X0)) = $true) | ($true != (in @ X1 @ X0)) | ((in @ X1 @ X2) != $true)) | (binintersectI != $true)) & ((binintersectI = $true) | ? [X3,X4,X5] : (($true != (in @ X4 @ (binintersect @ X5 @ X3))) & ((in @ X4 @ X3) = $true) & ((in @ X4 @ X5) = $true)))), 1.44/0.66 inference(rectify,[],[f1842])). 1.44/0.66 thf(f1842,plain,( 1.44/0.66 (! [X0,X1,X2] : (((in @ X1 @ (binintersect @ X2 @ X0)) = $true) | ($true != (in @ X1 @ X0)) | ((in @ X1 @ X2) != $true)) | (binintersectI != $true)) & ((binintersectI = $true) | ? [X0,X1,X2] : (((in @ X1 @ (binintersect @ X2 @ X0)) != $true) & ($true = (in @ X1 @ X0)) & ((in @ X1 @ X2) = $true)))), 1.44/0.66 inference(nnf_transformation,[],[f1180])). 1.44/0.66 thf(f1180,plain,( 1.44/0.66 ! [X0,X1,X2] : (((in @ X1 @ (binintersect @ X2 @ X0)) = $true) | ($true != (in @ X1 @ X0)) | ((in @ X1 @ X2) != $true)) <=> (binintersectI = $true)), 1.44/0.66 inference(flattening,[],[f1179])). 1.44/0.66 thf(f1179,plain,( 1.44/0.66 (binintersectI = $true) <=> ! [X0,X1,X2] : ((((in @ X1 @ (binintersect @ X2 @ X0)) = $true) | ($true != (in @ X1 @ X0))) | ((in @ X1 @ X2) != $true))), 1.44/0.66 inference(ennf_transformation,[],[f429])). 1.44/0.66 thf(f429,plain,( 1.44/0.66 (binintersectI = $true) <=> ! [X0,X1,X2] : (((in @ X1 @ X2) = $true) => (($true = (in @ X1 @ X0)) => ((in @ X1 @ (binintersect @ X2 @ X0)) = $true)))), 1.44/0.66 inference(fool_elimination,[],[f428])). 1.44/0.66 thf(f428,plain,( 1.44/0.66 (! [X0,X1,X2] : ((in @ X1 @ X2) => ((in @ X1 @ X0) => (in @ X1 @ (binintersect @ X2 @ X0)))) = binintersectI)), 1.44/0.66 inference(rectify,[],[f108])). 1.44/0.66 thf(f108,axiom,( 1.44/0.66 (! [X4,X1,X3] : ((in @ X1 @ X3) => ((in @ X1 @ X4) => (in @ X1 @ (binintersect @ X3 @ X4)))) = binintersectI)), 1.44/0.66 file('/export/starexec/sandbox/tmp/tmp.FrwtHVt93O/E---3.1_20654.p',binintersectI)). 1.44/0.66 thf(f4218,plain,( 1.44/0.66 ((in @ sK230 @ (binintersect @ sK228 @ sK229)) != $true) | spl862_6), 1.44/0.66 inference(avatar_component_clause,[],[f4216])). 1.44/0.66 thf(f4454,plain,( 1.44/0.66 ~spl862_6), 1.44/0.66 inference(avatar_split_clause,[],[f4210,f4216])). 1.44/0.66 thf(f4210,plain,( 1.44/0.66 ((in @ sK230 @ (binintersect @ sK228 @ sK229)) != $true)), 1.44/0.66 inference(trivial_inequality_removal,[],[f4209])). 1.44/0.66 thf(f4209,plain,( 1.44/0.66 ((in @ sK230 @ (binintersect @ sK228 @ sK229)) != $true) | ($true != $true)), 1.44/0.66 inference(forward_demodulation,[],[f4208,f3018])). 1.44/0.66 thf(f3018,plain,( 1.44/0.66 (setminusER = $true)), 1.44/0.66 inference(cnf_transformation,[],[f1544])). 1.44/0.66 thf(f4208,plain,( 1.44/0.66 ((in @ sK230 @ (binintersect @ sK228 @ sK229)) != $true) | (setminusER != $true)), 1.44/0.66 inference(trivial_inequality_removal,[],[f4196])). 1.44/0.66 thf(f4196,plain,( 1.44/0.66 ((in @ sK230 @ (binintersect @ sK228 @ sK229)) != $true) | (setminusER != $true) | ($true != $true)), 1.44/0.66 inference(superposition,[],[f3416,f2829])). 1.44/0.66 thf(f3416,plain,( 1.44/0.66 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ X1 @ (setminus @ X0 @ X2))) | (setminusER != $true) | ((in @ X1 @ X2) != $true)) )), 1.44/0.66 inference(cnf_transformation,[],[f1957])). 1.44/0.66 thf(f1957,plain,( 1.44/0.66 (! [X0,X1,X2] : (((in @ X1 @ X2) != $true) | ($true != (in @ X1 @ (setminus @ X0 @ X2)))) | (setminusER != $true)) & ((setminusER = $true) | (($true = (in @ sK500 @ sK501)) & ($true = (in @ sK500 @ (setminus @ sK499 @ sK501)))))), 1.44/0.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK499,sK500,sK501])],[f1955,f1956])). 1.44/0.66 thf(f1956,plain,( 1.44/0.66 ? [X3,X4,X5] : (((in @ X4 @ X5) = $true) & ($true = (in @ X4 @ (setminus @ X3 @ X5)))) => (($true = (in @ sK500 @ sK501)) & ($true = (in @ sK500 @ (setminus @ sK499 @ sK501))))), 1.44/0.66 introduced(choice_axiom,[])). 1.44/0.66 thf(f1955,plain,( 1.44/0.66 (! [X0,X1,X2] : (((in @ X1 @ X2) != $true) | ($true != (in @ X1 @ (setminus @ X0 @ X2)))) | (setminusER != $true)) & ((setminusER = $true) | ? [X3,X4,X5] : (((in @ X4 @ X5) = $true) & ($true = (in @ X4 @ (setminus @ X3 @ X5)))))), 1.44/0.66 inference(rectify,[],[f1954])). 1.44/0.66 thf(f1954,plain,( 1.44/0.66 (! [X0,X1,X2] : (((in @ X1 @ X2) != $true) | ($true != (in @ X1 @ (setminus @ X0 @ X2)))) | (setminusER != $true)) & ((setminusER = $true) | ? [X0,X1,X2] : (((in @ X1 @ X2) = $true) & ($true = (in @ X1 @ (setminus @ X0 @ X2)))))), 1.44/0.66 inference(nnf_transformation,[],[f1025])). 1.44/0.66 thf(f1025,plain,( 1.44/0.66 ! [X0,X1,X2] : (((in @ X1 @ X2) != $true) | ($true != (in @ X1 @ (setminus @ X0 @ X2)))) <=> (setminusER = $true)), 1.44/0.66 inference(ennf_transformation,[],[f824])). 1.44/0.66 thf(f824,plain,( 1.44/0.66 (setminusER = $true) <=> ! [X0,X1,X2] : (($true = (in @ X1 @ (setminus @ X0 @ X2))) => ((in @ X1 @ X2) != $true))), 1.44/0.66 inference(flattening,[],[f381])). 1.44/0.66 thf(f381,plain,( 1.44/0.66 (setminusER = $true) <=> ! [X0,X1,X2] : (($true = (in @ X1 @ (setminus @ X0 @ X2))) => ~((in @ X1 @ X2) = $true))), 1.44/0.66 inference(fool_elimination,[],[f380])). 1.44/0.66 thf(f380,plain,( 1.44/0.66 (setminusER = ! [X0,X1,X2] : ((in @ X1 @ (setminus @ X0 @ X2)) => ~(in @ X1 @ X2)))), 1.44/0.66 inference(rectify,[],[f122])). 1.44/0.66 thf(f122,axiom,( 1.44/0.66 (setminusER = ! [X3,X1,X4] : ((in @ X1 @ (setminus @ X3 @ X4)) => ~(in @ X1 @ X4)))), 1.44/0.66 file('/export/starexec/sandbox/tmp/tmp.FrwtHVt93O/E---3.1_20654.p',setminusER)). 1.44/0.66 thf(f4351,plain,( 1.44/0.66 ~spl862_9), 1.44/0.66 inference(avatar_split_clause,[],[f4350,f4234])). 1.44/0.66 thf(f4350,plain,( 1.44/0.66 ((in @ sK230 @ (setminus @ sK227 @ sK229)) != $true)), 1.44/0.66 inference(trivial_inequality_removal,[],[f4349])). 1.44/0.66 thf(f4349,plain,( 1.44/0.66 ((in @ sK230 @ (setminus @ sK227 @ sK229)) != $true) | ($true != $true)), 1.44/0.66 inference(forward_demodulation,[],[f4298,f3060])). 1.44/0.66 thf(f3060,plain,( 1.44/0.66 (binunionIR = $true)), 1.44/0.66 inference(cnf_transformation,[],[f1544])). 1.44/0.66 thf(f4298,plain,( 1.44/0.66 (binunionIR != $true) | ((in @ sK230 @ (setminus @ sK227 @ sK229)) != $true)), 1.44/0.66 inference(trivial_inequality_removal,[],[f4292])). 1.44/0.66 thf(f4292,plain,( 1.44/0.66 ((in @ sK230 @ (setminus @ sK227 @ sK229)) != $true) | ($true != $true) | (binunionIR != $true)), 1.44/0.66 inference(superposition,[],[f2828,f3750])). 1.44/0.66 thf(f3750,plain,( 1.44/0.66 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X5 @ (binunion @ X3 @ X4)) = $true) | (binunionIR != $true) | ((in @ X5 @ X4) != $true)) )), 1.44/0.66 inference(cnf_transformation,[],[f2318])). 1.44/0.66 thf(f2318,plain,( 1.44/0.66 ((binunionIR = $true) | (($true != (in @ sK740 @ (binunion @ sK738 @ sK739))) & ($true = (in @ sK740 @ sK739)))) & (! [X3,X4,X5] : (((in @ X5 @ (binunion @ X3 @ X4)) = $true) | ((in @ X5 @ X4) != $true)) | (binunionIR != $true))), 1.44/0.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK738,sK739,sK740])],[f2316,f2317])). 1.44/0.66 thf(f2317,plain,( 1.44/0.66 ? [X0,X1,X2] : (((in @ X2 @ (binunion @ X0 @ X1)) != $true) & ($true = (in @ X2 @ X1))) => (($true != (in @ sK740 @ (binunion @ sK738 @ sK739))) & ($true = (in @ sK740 @ sK739)))), 1.44/0.66 introduced(choice_axiom,[])). 1.44/0.66 thf(f2316,plain,( 1.44/0.66 ((binunionIR = $true) | ? [X0,X1,X2] : (((in @ X2 @ (binunion @ X0 @ X1)) != $true) & ($true = (in @ X2 @ X1)))) & (! [X3,X4,X5] : (((in @ X5 @ (binunion @ X3 @ X4)) = $true) | ((in @ X5 @ X4) != $true)) | (binunionIR != $true))), 1.44/0.66 inference(rectify,[],[f2315])). 1.44/0.66 thf(f2315,plain,( 1.44/0.66 ((binunionIR = $true) | ? [X0,X1,X2] : (((in @ X2 @ (binunion @ X0 @ X1)) != $true) & ($true = (in @ X2 @ X1)))) & (! [X0,X1,X2] : (((in @ X2 @ (binunion @ X0 @ X1)) = $true) | ($true != (in @ X2 @ X1))) | (binunionIR != $true))), 1.44/0.66 inference(nnf_transformation,[],[f926])). 1.44/0.66 thf(f926,plain,( 1.44/0.66 (binunionIR = $true) <=> ! [X0,X1,X2] : (((in @ X2 @ (binunion @ X0 @ X1)) = $true) | ($true != (in @ X2 @ X1)))), 1.44/0.66 inference(ennf_transformation,[],[f669])). 1.44/0.66 thf(f669,plain,( 1.44/0.66 (binunionIR = $true) <=> ! [X0,X1,X2] : (($true = (in @ X2 @ X1)) => ((in @ X2 @ (binunion @ X0 @ X1)) = $true))), 1.44/0.66 inference(fool_elimination,[],[f668])). 1.44/0.66 thf(f668,plain,( 1.44/0.66 (binunionIR = ! [X0,X1,X2] : ((in @ X2 @ X1) => (in @ X2 @ (binunion @ X0 @ X1))))), 1.44/0.66 inference(rectify,[],[f103])). 1.44/0.66 thf(f103,axiom,( 1.44/0.66 (binunionIR = ! [X3,X4,X1] : ((in @ X1 @ X4) => (in @ X1 @ (binunion @ X3 @ X4))))), 1.44/0.66 file('/export/starexec/sandbox/tmp/tmp.FrwtHVt93O/E---3.1_20654.p',binunionIR)). 1.44/0.66 thf(f2828,plain,( 1.44/0.66 ($true != (in @ sK230 @ (binunion @ (setminus @ sK227 @ sK228) @ (setminus @ sK227 @ sK229))))), 1.44/0.66 inference(cnf_transformation,[],[f1544])). 1.44/0.66 thf(f4309,plain,( 1.44/0.66 ~spl862_13), 1.44/0.66 inference(avatar_split_clause,[],[f4308,f4258])). 1.44/0.66 thf(f4308,plain,( 1.44/0.66 ($true != (in @ sK230 @ (setminus @ sK227 @ sK228)))), 1.44/0.66 inference(trivial_inequality_removal,[],[f4307])). 1.44/0.66 thf(f4307,plain,( 1.44/0.66 ($true != $true) | ($true != (in @ sK230 @ (setminus @ sK227 @ sK228)))), 1.44/0.66 inference(forward_demodulation,[],[f4305,f3033])). 1.44/0.66 thf(f3033,plain,( 1.44/0.66 (binunionIL = $true)), 1.44/0.66 inference(cnf_transformation,[],[f1544])). 1.44/0.66 thf(f4305,plain,( 1.44/0.66 (binunionIL != $true) | ($true != (in @ sK230 @ (setminus @ sK227 @ sK228)))), 1.44/0.66 inference(trivial_inequality_removal,[],[f4287])). 1.44/0.66 thf(f4287,plain,( 1.44/0.66 ($true != (in @ sK230 @ (setminus @ sK227 @ sK228))) | ($true != $true) | (binunionIL != $true)), 1.44/0.66 inference(superposition,[],[f2828,f2762])). 1.44/0.66 thf(f2762,plain,( 1.44/0.66 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true = (in @ X4 @ (binunion @ X3 @ X5))) | ((in @ X4 @ X3) != $true) | (binunionIL != $true)) )), 1.44/0.66 inference(cnf_transformation,[],[f1496])). 1.44/0.66 thf(f1496,plain,( 1.44/0.66 ((binunionIL = $true) | (((in @ sK201 @ sK200) = $true) & ($true != (in @ sK201 @ (binunion @ sK200 @ sK202))))) & (! [X3,X4,X5] : (((in @ X4 @ X3) != $true) | ($true = (in @ X4 @ (binunion @ X3 @ X5)))) | (binunionIL != $true))), 1.44/0.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK200,sK201,sK202])],[f1494,f1495])). 1.44/0.66 thf(f1495,plain,( 1.44/0.66 ? [X0,X1,X2] : (($true = (in @ X1 @ X0)) & ($true != (in @ X1 @ (binunion @ X0 @ X2)))) => (((in @ sK201 @ sK200) = $true) & ($true != (in @ sK201 @ (binunion @ sK200 @ sK202))))), 1.44/0.66 introduced(choice_axiom,[])). 1.44/0.66 thf(f1494,plain,( 1.44/0.66 ((binunionIL = $true) | ? [X0,X1,X2] : (($true = (in @ X1 @ X0)) & ($true != (in @ X1 @ (binunion @ X0 @ X2))))) & (! [X3,X4,X5] : (((in @ X4 @ X3) != $true) | ($true = (in @ X4 @ (binunion @ X3 @ X5)))) | (binunionIL != $true))), 1.44/0.66 inference(rectify,[],[f1493])). 1.44/0.66 thf(f1493,plain,( 1.44/0.66 ((binunionIL = $true) | ? [X0,X1,X2] : (($true = (in @ X1 @ X0)) & ($true != (in @ X1 @ (binunion @ X0 @ X2))))) & (! [X0,X1,X2] : (($true != (in @ X1 @ X0)) | ($true = (in @ X1 @ (binunion @ X0 @ X2)))) | (binunionIL != $true))), 1.44/0.66 inference(nnf_transformation,[],[f866])). 1.44/0.66 thf(f866,plain,( 1.44/0.66 (binunionIL = $true) <=> ! [X0,X1,X2] : (($true != (in @ X1 @ X0)) | ($true = (in @ X1 @ (binunion @ X0 @ X2))))), 1.44/0.66 inference(ennf_transformation,[],[f796])). 1.44/0.66 thf(f796,plain,( 1.44/0.66 ! [X0,X1,X2] : (($true = (in @ X1 @ X0)) => ($true = (in @ X1 @ (binunion @ X0 @ X2)))) <=> (binunionIL = $true)), 1.44/0.66 inference(fool_elimination,[],[f795])). 1.44/0.66 thf(f795,plain,( 1.44/0.66 (! [X0,X1,X2] : ((in @ X1 @ X0) => (in @ X1 @ (binunion @ X0 @ X2))) = binunionIL)), 1.44/0.66 inference(rectify,[],[f101])). 1.44/0.66 thf(f101,axiom,( 1.44/0.66 (! [X3,X1,X4] : ((in @ X1 @ X3) => (in @ X1 @ (binunion @ X3 @ X4))) = binunionIL)), 1.44/0.66 file('/export/starexec/sandbox/tmp/tmp.FrwtHVt93O/E---3.1_20654.p',binunionIL)). 1.44/0.66 % SZS output end Proof for E---3.1_20654 1.44/0.66 % (20783)------------------------------ 1.44/0.66 % (20783)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.44/0.66 % (20783)Termination reason: Refutation 1.44/0.66 1.44/0.66 % (20783)Memory used [KB]: 10618 1.44/0.66 % (20783)Time elapsed: 0.139 s 1.44/0.66 % (20783)Instructions burned: 342 (million) 1.44/0.66 % (20783)------------------------------ 1.44/0.66 % (20783)------------------------------ 1.44/0.66 % (20760)Success in time 0.245 s 1.44/0.66 EOF