0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : run_vampire %s %d THM 0.10/0.30 % Computer : n029.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 1440 0.10/0.30 % WCLimit : 180 0.10/0.30 % DateTime : Thu Jul 4 08:15:54 EDT 2024 0.10/0.30 % CPUTime : 0.16/0.32 This is a THF_ problem 0.16/0.32 Running higher-order theorem proving 0.18/0.37 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.XY4ZxAVAlR/E---3.1_22633.p -m 16384 -t 180 0.18/0.39 % (22747)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_22633 for (1799ds/2Mi) 0.18/0.39 % (22749)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_22633 for (1799ds/18Mi) 0.18/0.39 % (22746)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_22633 for (1799ds/2Mi) 0.18/0.39 % (22748)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_22633 for (1799ds/275Mi) 0.18/0.39 % (22744)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_22633 for (1799ds/4Mi) 0.18/0.39 % (22745)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_22633 for (1799ds/27Mi) 0.18/0.39 % (22743)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_22633 for (1799ds/183Mi) 0.18/0.39 % (22746)Instruction limit reached! 0.18/0.39 % (22746)------------------------------ 0.18/0.39 % (22746)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.39 % (22746)Termination reason: Unknown 0.18/0.39 % (22746)Termination phase: shuffling 0.18/0.39 0.18/0.39 % (22746)Memory used [KB]: 1535 0.18/0.39 % (22746)Time elapsed: 0.003 s 0.18/0.39 % (22746)Instructions burned: 4 (million) 0.18/0.39 % (22746)------------------------------ 0.18/0.39 % (22746)------------------------------ 0.18/0.39 % (22747)Instruction limit reached! 0.18/0.39 % (22747)------------------------------ 0.18/0.39 % (22747)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.39 % (22747)Termination reason: Unknown 0.18/0.39 % (22747)Termination phase: shuffling 0.18/0.39 0.18/0.39 % (22747)Memory used [KB]: 1535 0.18/0.39 % (22747)Time elapsed: 0.003 s 0.18/0.39 % (22747)Instructions burned: 4 (million) 0.18/0.39 % (22747)------------------------------ 0.18/0.39 % (22747)------------------------------ 0.18/0.39 % (22744)Instruction limit reached! 0.18/0.39 % (22744)------------------------------ 0.18/0.39 % (22744)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.39 % (22744)Termination reason: Unknown 0.18/0.39 % (22744)Termination phase: shuffling 0.18/0.39 0.18/0.39 % (22744)Memory used [KB]: 1663 0.18/0.39 % (22744)Time elapsed: 0.004 s 0.18/0.39 % (22744)Instructions burned: 6 (million) 0.18/0.39 % (22744)------------------------------ 0.18/0.39 % (22744)------------------------------ 0.18/0.40 % (22749)Instruction limit reached! 0.18/0.40 % (22749)------------------------------ 0.18/0.40 % (22749)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.40 % (22749)Termination reason: Unknown 0.18/0.40 % (22749)Termination phase: shuffling 0.18/0.40 0.18/0.40 % (22749)Memory used [KB]: 1791 0.18/0.40 % (22749)Time elapsed: 0.008 s 0.18/0.40 % (22749)Instructions burned: 18 (million) 0.18/0.40 % (22749)------------------------------ 0.18/0.40 % (22749)------------------------------ 0.18/0.40 % (22745)Instruction limit reached! 0.18/0.40 % (22745)------------------------------ 0.18/0.40 % (22745)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.40 % (22745)Termination reason: Unknown 0.18/0.40 % (22745)Termination phase: shuffling 0.18/0.40 0.18/0.40 % (22745)Memory used [KB]: 2046 0.18/0.40 % (22745)Time elapsed: 0.010 s 0.18/0.40 % (22745)Instructions burned: 29 (million) 0.18/0.40 % (22745)------------------------------ 0.18/0.40 % (22745)------------------------------ 0.18/0.40 % (22753)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_22633 for (1799ds/3Mi) 0.18/0.40 % (22754)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_22633 for (1799ds/37Mi) 0.18/0.40 % (22755)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_22633 for (1799ds/15Mi) 0.18/0.40 % (22753)Instruction limit reached! 0.18/0.40 % (22753)------------------------------ 0.18/0.40 % (22753)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.40 % (22753)Termination reason: Unknown 0.18/0.40 % (22753)Termination phase: shuffling 0.18/0.40 0.18/0.40 % (22753)Memory used [KB]: 1535 0.18/0.40 % (22753)Time elapsed: 0.002 s 0.18/0.40 % (22753)Instructions burned: 3 (million) 0.18/0.40 % (22753)------------------------------ 0.18/0.40 % (22753)------------------------------ 0.18/0.41 % (22758)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_22633 for (1799ds/3Mi) 0.18/0.41 % (22755)Instruction limit reached! 0.18/0.41 % (22755)------------------------------ 0.18/0.41 % (22755)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.41 % (22755)Termination reason: Unknown 0.18/0.41 % (22755)Termination phase: shuffling 0.18/0.41 0.18/0.41 % (22755)Memory used [KB]: 1791 0.18/0.41 % (22755)Time elapsed: 0.007 s 0.18/0.41 % (22755)Instructions burned: 17 (million) 0.18/0.41 % (22755)------------------------------ 0.18/0.41 % (22755)------------------------------ 0.18/0.41 % (22760)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_22633 for (1799ds/1041Mi) 0.18/0.41 % (22758)Instruction limit reached! 0.18/0.41 % (22758)------------------------------ 0.18/0.41 % (22758)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.41 % (22758)Termination reason: Unknown 0.18/0.41 % (22758)Termination phase: shuffling 0.18/0.41 0.18/0.41 % (22758)Memory used [KB]: 1535 0.18/0.41 % (22758)Time elapsed: 0.003 s 0.18/0.41 % (22758)Instructions burned: 6 (million) 0.18/0.41 % (22758)------------------------------ 0.18/0.41 % (22758)------------------------------ 0.18/0.41 % (22762)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_22633 for (1799ds/7Mi) 0.18/0.41 % (22754)Instruction limit reached! 0.18/0.41 % (22754)------------------------------ 0.18/0.41 % (22754)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.41 % (22754)Termination reason: Unknown 0.18/0.41 % (22754)Termination phase: shuffling 0.18/0.41 0.18/0.41 % (22754)Memory used [KB]: 2302 0.18/0.41 % (22754)Time elapsed: 0.012 s 0.18/0.41 % (22754)Instructions burned: 39 (million) 0.18/0.41 % (22754)------------------------------ 0.18/0.41 % (22754)------------------------------ 0.18/0.41 % (22762)Instruction limit reached! 0.18/0.41 % (22762)------------------------------ 0.18/0.41 % (22762)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.18/0.41 % (22762)Termination reason: Unknown 0.18/0.41 % (22762)Termination phase: shuffling 0.18/0.41 0.18/0.41 % (22762)Memory used [KB]: 1535 0.18/0.41 % (22762)Time elapsed: 0.003 s 0.18/0.41 % (22762)Instructions burned: 7 (million) 0.18/0.41 % (22762)------------------------------ 0.18/0.41 % (22762)------------------------------ 0.22/0.42 % (22765)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_22633 for (1799ds/16Mi) 0.22/0.42 % (22766)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_22633 for (1799ds/3Mi) 0.22/0.42 % (22766)Instruction limit reached! 0.22/0.42 % (22766)------------------------------ 0.22/0.42 % (22766)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.42 % (22766)Termination reason: Unknown 0.22/0.42 % (22766)Termination phase: shuffling 0.22/0.42 0.22/0.42 % (22766)Memory used [KB]: 1535 0.22/0.42 % (22766)Time elapsed: 0.002 s 0.22/0.42 % (22766)Instructions burned: 3 (million) 0.22/0.42 % (22766)------------------------------ 0.22/0.42 % (22766)------------------------------ 0.22/0.42 % (22769)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_22633 for (1799ds/3Mi) 0.22/0.42 % (22770)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_22633 for (1799ds/7Mi) 0.22/0.42 % (22765)Instruction limit reached! 0.22/0.42 % (22765)------------------------------ 0.22/0.42 % (22765)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.42 % (22765)Termination reason: Unknown 0.22/0.42 % (22765)Termination phase: shuffling 0.22/0.42 0.22/0.42 % (22765)Memory used [KB]: 1791 0.22/0.42 % (22765)Time elapsed: 0.006 s 0.22/0.42 % (22765)Instructions burned: 18 (million) 0.22/0.42 % (22765)------------------------------ 0.22/0.42 % (22765)------------------------------ 0.22/0.42 % (22769)Instruction limit reached! 0.22/0.42 % (22769)------------------------------ 0.22/0.42 % (22769)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.42 % (22769)Termination reason: Unknown 0.22/0.42 % (22769)Termination phase: shuffling 0.22/0.42 0.22/0.42 % (22769)Memory used [KB]: 1535 0.22/0.42 % (22769)Time elapsed: 0.002 s 0.22/0.42 % (22769)Instructions burned: 3 (million) 0.22/0.42 % (22769)------------------------------ 0.22/0.42 % (22769)------------------------------ 0.22/0.42 % (22770)Instruction limit reached! 0.22/0.42 % (22770)------------------------------ 0.22/0.42 % (22770)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.42 % (22770)Termination reason: Unknown 0.22/0.42 % (22770)Termination phase: shuffling 0.22/0.42 0.22/0.42 % (22770)Memory used [KB]: 1663 0.22/0.42 % (22770)Time elapsed: 0.004 s 0.22/0.42 % (22770)Instructions burned: 10 (million) 0.22/0.42 % (22770)------------------------------ 0.22/0.42 % (22770)------------------------------ 0.22/0.43 % (22773)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_22633 for (1799ds/3Mi) 0.22/0.43 % (22773)Instruction limit reached! 0.22/0.43 % (22773)------------------------------ 0.22/0.43 % (22773)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.43 % (22773)Termination reason: Unknown 0.22/0.43 % (22773)Termination phase: shuffling 0.22/0.43 0.22/0.43 % (22773)Memory used [KB]: 1535 0.22/0.43 % (22773)Time elapsed: 0.002 s 0.22/0.43 % (22773)Instructions burned: 3 (million) 0.22/0.43 % (22773)------------------------------ 0.22/0.43 % (22773)------------------------------ 0.22/0.43 % (22776)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_22633 for (1799ds/4Mi) 0.22/0.43 % (22777)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_22633 for (1799ds/18Mi) 0.22/0.43 % (22776)Instruction limit reached! 0.22/0.43 % (22776)------------------------------ 0.22/0.43 % (22776)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.43 % (22776)Termination reason: Unknown 0.22/0.43 % (22776)Termination phase: shuffling 0.22/0.43 0.22/0.43 % (22776)Memory used [KB]: 1535 0.22/0.43 % (22776)Time elapsed: 0.003 s 0.22/0.43 % (22776)Instructions burned: 6 (million) 0.22/0.43 % (22776)------------------------------ 0.22/0.43 % (22776)------------------------------ 0.22/0.43 % (22779)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_22633 for (1799ds/710Mi) 0.22/0.44 % (22781)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_22633 for (1799ds/6Mi) 0.22/0.44 % (22777)Instruction limit reached! 0.22/0.44 % (22777)------------------------------ 0.22/0.44 % (22777)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.44 % (22777)Termination reason: Unknown 0.22/0.44 % (22777)Termination phase: shuffling 0.22/0.44 0.22/0.44 % (22777)Memory used [KB]: 1918 0.22/0.44 % (22777)Time elapsed: 0.007 s 0.22/0.44 % (22777)Instructions burned: 20 (million) 0.22/0.44 % (22777)------------------------------ 0.22/0.44 % (22777)------------------------------ 0.22/0.44 % (22781)Instruction limit reached! 0.22/0.44 % (22781)------------------------------ 0.22/0.44 % (22781)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.44 % (22781)Termination reason: Unknown 0.22/0.44 % (22781)Termination phase: shuffling 0.22/0.44 0.22/0.44 % (22781)Memory used [KB]: 1535 0.22/0.44 % (22781)Time elapsed: 0.003 s 0.22/0.44 % (22781)Instructions burned: 6 (million) 0.22/0.44 % (22781)------------------------------ 0.22/0.44 % (22781)------------------------------ 0.22/0.44 % (22743)Instruction limit reached! 0.22/0.44 % (22743)------------------------------ 0.22/0.44 % (22743)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.44 % (22743)Termination reason: Unknown 0.22/0.44 % (22743)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (22743)Memory used [KB]: 7675 0.22/0.44 % (22743)Time elapsed: 0.050 s 0.22/0.44 % (22743)Instructions burned: 183 (million) 0.22/0.44 % (22743)------------------------------ 0.22/0.44 % (22743)------------------------------ 0.22/0.44 % (22784)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_22633 for (1799ds/902Mi) 0.22/0.45 % (22787)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_22633 for (1799ds/21Mi) 0.22/0.45 % (22788)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_22633 for (1799ds/5Mi) 0.22/0.45 % (22788)Instruction limit reached! 0.22/0.45 % (22788)------------------------------ 0.22/0.45 % (22788)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.45 % (22788)Termination reason: Unknown 0.22/0.45 % (22788)Termination phase: shuffling 0.22/0.45 0.22/0.45 % (22788)Memory used [KB]: 1535 0.22/0.45 % (22788)Time elapsed: 0.003 s 0.22/0.45 % (22788)Instructions burned: 7 (million) 0.22/0.45 % (22788)------------------------------ 0.22/0.45 % (22788)------------------------------ 0.22/0.45 % (22789)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_22633 for (1799ds/6Mi) 0.22/0.45 % (22789)Instruction limit reached! 0.22/0.45 % (22789)------------------------------ 0.22/0.45 % (22789)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.45 % (22789)Termination reason: Unknown 0.22/0.45 % (22789)Termination phase: shuffling 0.22/0.45 0.22/0.45 % (22789)Memory used [KB]: 1535 0.22/0.45 % (22789)Time elapsed: 0.003 s 0.22/0.45 % (22789)Instructions burned: 6 (million) 0.22/0.45 % (22789)------------------------------ 0.22/0.45 % (22789)------------------------------ 0.22/0.45 % (22787)Instruction limit reached! 0.22/0.45 % (22787)------------------------------ 0.22/0.45 % (22787)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.45 % (22787)Termination reason: Unknown 0.22/0.45 % (22787)Termination phase: shuffling 0.22/0.45 0.22/0.45 % (22787)Memory used [KB]: 1918 0.22/0.45 % (22787)Time elapsed: 0.007 s 0.22/0.45 % (22787)Instructions burned: 21 (million) 0.22/0.45 % (22787)------------------------------ 0.22/0.45 % (22787)------------------------------ 0.22/0.46 % (22793)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_22633 for (1799ds/377Mi) 0.22/0.46 % (22794)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_22633 for (1799ds/779Mi) 0.22/0.46 % (22795)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_22633 for (1799ds/19Mi) 0.22/0.47 % (22795)Instruction limit reached! 0.22/0.47 % (22795)------------------------------ 0.22/0.47 % (22795)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.47 % (22795)Termination reason: Unknown 0.22/0.47 % (22795)Termination phase: shuffling 0.22/0.47 0.22/0.47 % (22795)Memory used [KB]: 1918 0.22/0.47 % (22795)Time elapsed: 0.007 s 0.22/0.47 % (22795)Instructions burned: 21 (million) 0.22/0.47 % (22795)------------------------------ 0.22/0.47 % (22795)------------------------------ 0.22/0.47 % (22802)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_22633 for (1799ds/879Mi) 0.22/0.48 % (22748)Instruction limit reached! 0.22/0.48 % (22748)------------------------------ 0.22/0.48 % (22748)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.48 % (22748)Termination reason: Unknown 0.22/0.48 % (22748)Termination phase: Saturation 0.22/0.48 0.22/0.48 % (22748)Memory used [KB]: 9978 0.22/0.48 % (22748)Time elapsed: 0.085 s 0.22/0.48 % (22748)Instructions burned: 277 (million) 0.22/0.48 % (22748)------------------------------ 0.22/0.48 % (22748)------------------------------ 0.22/0.48 % (22810)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_22633 for (1799ds/17Mi) 0.22/0.49 % (22810)Instruction limit reached! 0.22/0.49 % (22810)------------------------------ 0.22/0.49 % (22810)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.49 % (22810)Termination reason: Unknown 0.22/0.49 % (22810)Termination phase: shuffling 0.22/0.49 0.22/0.49 % (22810)Memory used [KB]: 1791 0.22/0.49 % (22810)Time elapsed: 0.006 s 0.22/0.49 % (22810)Instructions burned: 17 (million) 0.22/0.49 % (22810)------------------------------ 0.22/0.49 % (22810)------------------------------ 0.22/0.50 % (22816)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_22633 for (1798ds/3Mi) 0.22/0.50 % (22816)Instruction limit reached! 0.22/0.50 % (22816)------------------------------ 0.22/0.50 % (22816)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.50 % (22816)Termination reason: Unknown 0.22/0.50 % (22816)Termination phase: shuffling 0.22/0.50 0.22/0.50 % (22816)Memory used [KB]: 1535 0.22/0.50 % (22816)Time elapsed: 0.003 s 0.22/0.50 % (22816)Instructions burned: 5 (million) 0.22/0.50 % (22816)------------------------------ 0.22/0.50 % (22816)------------------------------ 0.22/0.51 % (22820)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_22633 for (1798ds/30Mi) 0.22/0.52 % (22820)Instruction limit reached! 0.22/0.52 % (22820)------------------------------ 0.22/0.52 % (22820)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.52 % (22820)Termination reason: Unknown 0.22/0.52 % (22820)Termination phase: shuffling 0.22/0.52 0.22/0.52 % (22820)Memory used [KB]: 2302 0.22/0.52 % (22820)Time elapsed: 0.010 s 0.22/0.52 % (22820)Instructions burned: 31 (million) 0.22/0.52 % (22820)------------------------------ 0.22/0.52 % (22820)------------------------------ 0.22/0.53 % (22828)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_22633 for (1798ds/127Mi) 0.22/0.55 % (22784)First to succeed. 0.22/0.55 % (22784)Refutation found. Thanks to Tanya! 0.22/0.55 % SZS status Theorem for E---3.1_22633 0.22/0.55 % SZS output start Proof for E---3.1_22633 0.22/0.55 thf(func_def_0, type, in: $i > $i > $o). 0.22/0.55 thf(func_def_1, type, exu: ($i > $o) > $o). 0.22/0.55 thf(func_def_6, type, setadjoin: $i > $i > $i). 0.22/0.55 thf(func_def_8, type, powerset: $i > $i). 0.22/0.55 thf(func_def_10, type, setunion: $i > $i). 0.22/0.55 thf(func_def_19, type, descr: ($i > $o) > $i). 0.22/0.55 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 0.22/0.55 thf(func_def_26, type, prop2set: $o > $i). 0.22/0.55 thf(func_def_36, type, nonempty: $i > $o). 0.22/0.55 thf(func_def_69, type, set2prop: $i > $o). 0.22/0.55 thf(func_def_88, type, subset: $i > $i > $o). 0.22/0.55 thf(func_def_89, type, disjoint: $i > $i > $o). 0.22/0.55 thf(func_def_90, type, setsmeet: $i > $i > $o). 0.22/0.55 thf(func_def_114, type, binunion: $i > $i > $i). 0.22/0.55 thf(func_def_122, type, binintersect: $i > $i > $i). 0.22/0.55 thf(func_def_135, type, regular: $i > $o). 0.22/0.55 thf(func_def_136, type, setminus: $i > $i > $i). 0.22/0.55 thf(func_def_147, type, symdiff: $i > $i > $i). 0.22/0.55 thf(func_def_153, type, iskpair: $i > $o). 0.22/0.55 thf(func_def_158, type, kpair: $i > $i > $i). 0.22/0.55 thf(func_def_160, type, cartprod: $i > $i > $i). 0.22/0.55 thf(func_def_177, type, singleton: $i > $o). 0.22/0.55 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 0.22/0.55 thf(func_def_184, type, atmost1p: $i > $o). 0.22/0.55 thf(func_def_185, type, atleast2p: $i > $o). 0.22/0.55 thf(func_def_186, type, atmost2p: $i > $o). 0.22/0.55 thf(func_def_187, type, upairsetp: $i > $o). 0.22/0.55 thf(func_def_191, type, kfst: $i > $i). 0.22/0.55 thf(func_def_203, type, ksnd: $i > $i). 0.22/0.55 thf(func_def_213, type, breln: $i > $i > $i > $o). 0.22/0.55 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 0.22/0.55 thf(func_def_222, type, func: $i > $i > $i > $o). 0.22/0.55 thf(func_def_223, type, funcSet: $i > $i > $i). 0.22/0.55 thf(func_def_226, type, ap: $i > $i > $i > $i > $i). 0.22/0.55 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i). 0.22/0.55 thf(func_def_259, type, if: $i > $o > $i > $i > $i). 0.22/0.55 thf(func_def_320, type, sP1: $i > $i > $i > $i > $o). 0.22/0.55 thf(func_def_322, type, sP3: $i > $o > $i > $i > $o). 0.22/0.55 thf(func_def_324, type, sP5: $i > $i > $o). 0.22/0.55 thf(func_def_325, type, sP6: $i > $o). 0.22/0.55 thf(func_def_326, type, sP7: $i > $i > $o). 0.22/0.55 thf(func_def_327, type, sP8: $i > $i > $o). 0.22/0.55 thf(func_def_329, type, sP10: $i > $i > $i > $o). 0.22/0.55 thf(func_def_344, type, sK25: $i > $o). 0.22/0.55 thf(func_def_346, type, sK27: ($i > $o) > $i > $i > $i > $i). 0.22/0.55 thf(func_def_347, type, sK28: ($i > $o) > $i > $i > $i > $i). 0.22/0.55 thf(func_def_364, type, sK45: $i > $o). 0.22/0.55 thf(func_def_382, type, sK63: $i > $i > ($i > $i) > $i). 0.22/0.55 thf(func_def_383, type, sK64: $i > $i). 0.22/0.55 thf(func_def_386, type, sK67: $i > $i > $i). 0.22/0.55 thf(func_def_392, type, sK73: $i > $o). 0.22/0.55 thf(func_def_402, type, sK83: $i > $i > $i > $i). 0.22/0.55 thf(func_def_403, type, sK84: $i > $i > $i > $i). 0.22/0.55 thf(func_def_408, type, sK89: $i > $i). 0.22/0.55 thf(func_def_435, type, sK116: $i > $i > $o). 0.22/0.55 thf(func_def_453, type, sK134: $i > $o). 0.22/0.55 thf(func_def_456, type, sK137: $i > ($i > $o) > $i). 0.22/0.55 thf(func_def_457, type, sK138: $i > ($i > $o) > $i). 0.22/0.55 thf(func_def_470, type, sK151: $i > $o). 0.22/0.55 thf(func_def_471, type, sK152: ($i > $o) > $i). 0.22/0.55 thf(func_def_476, type, sK157: $i > $i > $i > $i > $i). 0.22/0.55 thf(func_def_477, type, sK158: $i > $i > $i > $i > $i). 0.22/0.55 thf(func_def_478, type, sK159: $i > $i > $i > $i > $i). 0.22/0.55 thf(func_def_479, type, sK160: $i > $i > $i > $i > $i). 0.22/0.55 thf(func_def_483, type, sK164: $i > $i > $o). 0.22/0.55 thf(func_def_488, type, sK169: $i > $i > $i). 0.22/0.55 thf(func_def_495, type, sK176: ($i > $o) > ($i > $o) > $i). 0.22/0.55 thf(func_def_496, type, sK177: ($i > $o) > ($i > $o) > $i). 0.22/0.55 thf(func_def_497, type, sK178: $i > $o). 0.22/0.55 thf(func_def_498, type, sK179: $i > $o). 0.22/0.55 thf(func_def_518, type, sK199: $i > $i > $i). 0.22/0.55 thf(func_def_519, type, sK200: $i > $i > ($i > $i) > $i). 0.22/0.55 thf(func_def_520, type, sK201: $i > $i). 0.22/0.55 thf(func_def_545, type, sK226: $i > $o). 0.22/0.55 thf(func_def_548, type, sK229: $i > $o). 0.22/0.55 thf(func_def_551, type, sK232: $i > ($i > $o) > $i). 0.22/0.55 thf(func_def_552, type, sK233: $i > $o). 0.22/0.55 thf(func_def_563, type, sK244: $i > $o). 0.22/0.55 thf(func_def_565, type, sK246: ($i > $o) > $i > $i > $i > $i). 0.22/0.55 thf(func_def_566, type, sK247: ($i > $o) > $i > $i > $i > $i). 0.22/0.55 thf(func_def_580, type, sK261: $i > $o). 0.22/0.55 thf(func_def_584, type, sK265: $i > $i > $i). 0.22/0.55 thf(func_def_591, type, sK272: $i > $o). 0.22/0.55 thf(func_def_594, type, sK275: $i > $i > $i). 0.22/0.55 thf(func_def_623, type, sK304: $i > $o). 0.22/0.55 thf(func_def_642, type, sK323: $i > $o). 0.22/0.55 thf(func_def_645, type, sK326: $i > $i > ($i > $i) > $i). 0.22/0.55 thf(func_def_646, type, sK327: $i > $i). 0.22/0.55 thf(func_def_653, type, sK334: $i > $i > $o). 0.22/0.55 thf(func_def_671, type, sK352: ($i > $o) > ($i > $o) > $i > $i > $i). 0.22/0.55 thf(func_def_672, type, sK353: ($i > $o) > ($i > $o) > $i > $i > $i). 0.22/0.55 thf(func_def_675, type, sK356: $i > $o). 0.22/0.55 thf(func_def_676, type, sK357: $i > $o). 0.22/0.55 thf(func_def_679, type, sK360: $i > $o). 0.22/0.55 thf(func_def_682, type, sK363: $i > ($i > $o) > $i). 0.22/0.55 thf(func_def_683, type, sK364: $i > $i > $i). 0.22/0.55 thf(func_def_684, type, sK365: $i > $i > $i). 0.22/0.55 thf(func_def_685, type, sK366: $i > $i > $i). 0.22/0.55 thf(func_def_686, type, sK367: $i > $i > $i). 0.22/0.55 thf(func_def_687, type, sK368: $i > $i > $i). 0.22/0.55 thf(func_def_688, type, sK369: $i > $i > $i > $i). 0.22/0.55 thf(func_def_689, type, sK370: $i > $i). 0.22/0.55 thf(func_def_690, type, sK371: $i > $i). 0.22/0.55 thf(func_def_691, type, sK372: $i > $i). 0.22/0.55 thf(func_def_692, type, sK373: $i > $i). 0.22/0.55 thf(func_def_693, type, sK374: $i > $i > $i). 0.22/0.55 thf(func_def_694, type, sK375: $i > $i > $i > $i). 0.22/0.55 thf(func_def_695, type, sK376: $i > $i > $i > $i). 0.22/0.55 thf(func_def_696, type, sK377: $i > $i > $i). 0.22/0.55 thf(func_def_697, type, sK378: $i > $i > $i). 0.22/0.55 thf(func_def_698, type, sK379: $i > $i). 0.22/0.55 thf(func_def_700, type, sK381: $i > $i). 0.22/0.55 thf(func_def_701, type, sK382: $i > $i). 0.22/0.55 thf(func_def_711, type, sK392: $i > $i > $i > $i > $i). 0.22/0.55 thf(func_def_712, type, sK393: $i > $i > $i > $i > $i). 0.22/0.55 thf(func_def_726, type, sK407: $i > $i > $i). 0.22/0.55 thf(func_def_732, type, sK413: $i > $o). 0.22/0.55 thf(func_def_739, type, sK420: ($i > $o) > $i > $i). 0.22/0.55 thf(func_def_741, type, sK422: $i > $o). 0.22/0.55 thf(func_def_760, type, sK441: $i > $i > $i > $i > $i). 0.22/0.55 thf(func_def_761, type, sK442: $i > $i > $i > $i). 0.22/0.55 thf(func_def_762, type, sK443: $i > $i > $i > $i). 0.22/0.55 thf(func_def_778, type, sK459: $i > $i > $i > $i > $i). 0.22/0.55 thf(func_def_796, type, sK477: $i > $i > $i > $i). 0.22/0.55 thf(func_def_812, type, sK493: $i > $i). 0.22/0.55 thf(func_def_814, type, sK495: $i > $i). 0.22/0.55 thf(func_def_819, type, sK500: $i > ($i > $i) > $i > $i). 0.22/0.55 thf(func_def_821, type, sK502: $i > $i). 0.22/0.55 thf(func_def_833, type, sK514: $i > $i). 0.22/0.55 thf(func_def_836, type, sK517: $i > $i > $i). 0.22/0.55 thf(func_def_849, type, sK530: $i > $i > $i). 0.22/0.55 thf(func_def_850, type, sK531: $i > $i > $i). 0.22/0.55 thf(func_def_857, type, sK538: $o > $i > $i > $i). 0.22/0.55 thf(func_def_861, type, sK542: ($i > $o) > $i). 0.22/0.55 thf(func_def_862, type, sK543: ($i > $o) > $i). 0.22/0.55 thf(func_def_863, type, sK544: $i > $o). 0.22/0.55 thf(func_def_869, type, sK550: $i > $o). 0.22/0.55 thf(func_def_872, type, sK553: $i > ($i > $o) > $i). 0.22/0.55 thf(func_def_873, type, sK554: $i > ($i > $o) > $i). 0.22/0.55 thf(func_def_874, type, sK555: $i > ($i > $o) > $i). 0.22/0.55 thf(func_def_875, type, sK556: $i > $o). 0.22/0.55 thf(func_def_882, type, sK563: $i > $o). 0.22/0.55 thf(func_def_883, type, sK564: $i > $i). 0.22/0.55 thf(func_def_884, type, sK565: ($i > $o) > $i). 0.22/0.55 thf(func_def_890, type, sK571: $i > $o). 0.22/0.55 thf(func_def_897, type, sK578: $i > $i > ($i > $i) > $i). 0.22/0.55 thf(func_def_898, type, sK579: $i > $i). 0.22/0.55 thf(func_def_902, type, sK583: $i > $i > $o). 0.22/0.55 thf(func_def_908, type, sK589: $i > $i). 0.22/0.55 thf(func_def_921, type, sK602: $i > $o). 0.22/0.55 thf(func_def_928, type, sK609: $i > $i > $o). 0.22/0.55 thf(func_def_946, type, sK627: $i > ($i > $o) > $i). 0.22/0.55 thf(func_def_947, type, sK628: $i > $o). 0.22/0.55 thf(func_def_972, type, sK653: $i > $o). 0.22/0.55 thf(func_def_974, type, sK655: $i > ($i > $o) > $i). 0.22/0.55 thf(func_def_978, type, sK659: $i > $i > $i). 0.22/0.55 thf(func_def_1004, type, sK685: $i > $o). 0.22/0.55 thf(func_def_1017, type, sK698: $i > $o). 0.22/0.55 thf(func_def_1019, type, sK700: $i > ($i > $o) > $i). 0.22/0.55 thf(func_def_1023, type, sK704: $i > $o). 0.22/0.55 thf(func_def_1024, type, sK705: $i > $i). 0.22/0.55 thf(func_def_1025, type, sK706: ($i > $o) > $i). 0.22/0.55 thf(func_def_1026, type, sK707: $i > ($i > $o) > $i). 0.22/0.55 thf(func_def_1027, type, sK708: $i > $o). 0.22/0.55 thf(func_def_1032, type, sK713: $i > $o). 0.22/0.55 thf(func_def_1036, type, sK717: $i > $i). 0.22/0.55 thf(func_def_1043, type, sK724: $i > $o). 0.22/0.55 thf(func_def_1044, type, sK725: ($i > $o) > $i > $i > $i). 0.22/0.55 thf(func_def_1051, type, sK732: $i > $i). 0.22/0.55 thf(func_def_1054, type, sK735: $i > $i > ($i > $i) > $i). 0.22/0.55 thf(func_def_1064, type, sK745: $i > $i > $o). 0.22/0.55 thf(func_def_1065, type, sK746: $i > $i). 0.22/0.55 thf(func_def_1083, type, sK764: $i > $o). 0.22/0.55 thf(func_def_1084, type, sK765: ($i > $o) > $i > $i). 0.22/0.55 thf(func_def_1089, type, sK770: $i > $i > $i > $i > $i). 0.22/0.55 thf(func_def_1119, type, sK800: ($i > $o) > ($i > $o) > $i). 0.22/0.55 thf(func_def_1120, type, sK801: ($i > $o) > ($i > $o) > $i). 0.22/0.55 thf(func_def_1121, type, sK802: $i > $o). 0.22/0.55 thf(func_def_1122, type, sK803: $i > $o). 0.22/0.55 thf(func_def_1138, type, sK819: $i > $i > $o). 0.22/0.55 thf(func_def_1139, type, sK820: $i > $i). 0.22/0.55 thf(func_def_1140, type, sK821: $i > $i). 0.22/0.55 thf(func_def_1141, type, sK822: ($i > $i > $o) > $i > $i). 0.22/0.55 thf(func_def_1142, type, sK823: $i > ($i > $i > $o) > $i > $i). 0.22/0.55 thf(func_def_1143, type, sK824: ($i > $i > $o) > $i > $i). 0.22/0.55 thf(func_def_1148, type, sK829: $i > $i > $o). 0.22/0.55 thf(func_def_1160, type, sK841: $i > $i > $i > $i). 0.22/0.55 thf(func_def_1182, type, ph863: !>[X0: $tType]:(X0)). 0.22/0.55 thf(f4606,plain,( 0.22/0.55 $false), 0.22/0.55 inference(avatar_sat_refutation,[],[f4309,f4324,f4454,f4484,f4542,f4591])). 0.22/0.55 thf(f4591,plain,( 0.22/0.55 spl862_25 | spl862_14), 0.22/0.55 inference(avatar_split_clause,[],[f4590,f4266,f4481])). 0.22/0.55 thf(f4481,plain,( 0.22/0.55 spl862_25 <=> ((in @ sK208 @ sK206) = $true)), 0.22/0.55 introduced(avatar_definition,[new_symbols(naming,[spl862_25])])). 0.22/0.55 thf(f4266,plain,( 0.22/0.55 spl862_14 <=> ((in @ sK208 @ (setminus @ sK205 @ sK206)) = $true)), 0.22/0.55 introduced(avatar_definition,[new_symbols(naming,[spl862_14])])). 0.22/0.55 thf(f4590,plain,( 0.22/0.55 ((in @ sK208 @ sK206) = $true) | spl862_14), 0.22/0.55 inference(trivial_inequality_removal,[],[f4589])). 0.22/0.55 thf(f4589,plain,( 0.22/0.55 ((in @ sK208 @ sK206) = $true) | ($true != $true) | spl862_14), 0.22/0.55 inference(forward_demodulation,[],[f4588,f4282])). 0.22/0.55 thf(f4282,plain,( 0.22/0.55 ((in @ sK208 @ sK205) = $true)), 0.22/0.55 inference(trivial_inequality_removal,[],[f4281])). 0.22/0.55 thf(f4281,plain,( 0.22/0.55 ((in @ sK208 @ sK205) = $true) | ($true != $true)), 0.22/0.55 inference(forward_demodulation,[],[f4202,f2790])). 0.22/0.55 thf(f2790,plain,( 0.22/0.55 (setminusEL = $true)), 0.22/0.55 inference(cnf_transformation,[],[f1507])). 0.22/0.55 thf(f1507,plain,( 0.22/0.55 (setminusER = $true) & (doubleComplementI1 = $true) & (funcImageSingleton = $true) & (setukpairinjR = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan1 = $true) & (kpairp = $true) & (noeltsimpempty = $true) & (setminusIRneg = $true) & (sepSubset = $true) & (brelnall2 = $true) & (setukpairinjL1 = $true) & (exuE3u = $true) & (kfstpairEq = $true) & (doubleComplementE1 = $true) & (beta2 = $true) & (emptysetE = $true) & (((((in @ sK208 @ (binunion @ (setminus @ sK205 @ sK206) @ (setminus @ sK205 @ sK207))) != $true) & ((in @ sK208 @ sK205) = $true) & ((in @ sK208 @ (setminus @ sK205 @ (binintersect @ sK206 @ sK207))) = $true)) & ((in @ sK207 @ (powerset @ sK205)) = $true)) & ((in @ sK206 @ (powerset @ sK205)) = $true)) & (subsetTrans = $true) & (eqinunit = $true) & (dpsetconstrI = $true) & (funcGraphProp4 = $true) & (contraSubsetComplement = $true) & (in__Cong = $true) & (eta2 = $true) & (binintersectSubset1 = $true) & (iffalseProp2 = $true) & (symdiffIneg1 = $true) & (subsetI2 = $true) & (ex1E1 = $true) & (symdiffIneg2 = $true) & (cartprodmempair = $true) & (inComplementUnionImpNotIn1 = $true) & (setext = $true) & (ifp = $true) & (powersetsubset = $true) & (prop2set2propI = $true) & (emptyInPowerset = $true) & (complementTcontraSubset = $true) & (funcext = $true) & (notequalI2 = $true) & (singletoninpowunion = $true) & (ksndpairEq = $true) & (dpsetconstrER = $true) & (notdallE = $true) & (dsetconstrER = $true) & (theeq = $true) & (setukpairinjR11 = $true) & (sepInPowerset = $true) & (binunionEcases = $true) & (emptyinPowerset = $true) & (ex1I2 = $true) & (singletonprop = $true) & (cartprodpairmemER = $true) & (doubleComplementSub2 = $true) & (subbreln = $true) & (binintersectEL = $true) & (dsetconstr__Cong = $true) & (funcGraphProp2 = $true) & (binintersectLsub = $true) & (complementInPowersetComplementIntersect = $true) & (cartprodpairin = $true) & (setukpairinjR1 = $true) & (cartprodpairsurjEq = $true) & (binunionTIRcontra = $true) & (singletoninpowerset = $true) & (cartprodsndpairEq = $true) & (binintersectSubset4 = $true) & (dsetconstrEL = $true) & (setadjoinSub = $true) & (contrasubsetT1 = $true) & (setadjoin__Cong = $true) & (descr__Cong = $true) & (omegaIndAx = $true) & (setunionsingleton = $true) & (binunionIR = $true) & (ubforcartprodlem3 = $true) & (lam2p = $true) & (dpsetconstrEL2 = $true) & (subsetRefl = $true) & (upairsetIL = $true) & (brelnall1 = $true) & (doubleComplementEq = $true) & (omegaSAx = $true) & (binintersectSubset2 = $true) & (binunionE = $true) & (replAx = $true) & (binintersectTERcontra = $true) & (prop2setE = $true) & (emptyE1 = $true) & (kfstsingleton = $true) & (eqbreln = $true) & (intersectInPowersetIntersectUnions = $true) & (setunionE2 = $true) & (binintersectSubset5 = $true) & (binintersectER = $true) & (eqimpsubset1 = $true) & (complementUnionInPowersetComplement = $true) & (setminusT_lem = $true) & (emptysetsubset = $true) & (nonemptyI1 = $true) & (complementT_lem = $true) & (lam2lamEq = $true) & (setextT = $true) & (nonemptyImpWitness = $true) & (exuI2 = $true) & (setukpairIR = $true) & (ubforcartprodlem2 = $true) & (setadjoinIL = $true) & (binunionT_lem = $true) & (exuI3 = $true) & (cartprodfstin = $true) & (ubforcartprodlem1 = $true) & (powersetI1 = $true) & (setadjoinSub2 = $true) & (dpsetconstrSub = $true) & (upairsetIR = $true) & (powersetT_lem = $true) & (cartprodsndin = $true) & (doubleComplementSub1 = $true) & (setadjoinE = $true) & (emptyset__Cong = $true) & (cartprodpairmemEL = $true) & (setoftrueEq = $true) & (exu__Cong = $true) & (app = $true) & (setOfPairsIsBReln = $true) & (contrasubsetT = $true) & (binunionLsub = $true) & (subsetE = $true) & (nonemptyI = $true) & (setminusERneg = $true) & (setunionE = $true) & (setminusILneg = $true) & (setminusI = $true) & (disjointsetsI1 = $true) & (funcGraphProp1 = $true) & (setminusLsub = $true) & (notinsingleton = $true) & (singletonsswitch = $true) & (iffalse = $true) & (secondinupair = $true) & (inPowerset = $true) & (powersetTI1 = $true) & (setunionI = $true) & (dpsetconstrEL1 = $true) & (wellorderingAx = $true) & (setunionsingleton1 = $true) & (iftrueorfalse = $true) & (binintersectSubset3 = $true) & (subsetE2 = $true) & (setukpairinjR2 = $true) & (contrasubsetT2 = $true) & (binunionTEcontra = $true) & (notdexE = $true) & (singletonsuniq = $true) & (descrp = $true) & (iftrue = $true) & (lamProp = $true) & (binintersectTELcontra = $true) & (complementTnotintersectT = $true) & (funcGraphProp3 = $true) & (inIntersectImpInUnion = $true) & (subsetemptysetimpeq = $true) & (setextAx = $true) & (demorgan2a1 = $true) & (setunionAx = $true) & (vacuousDall = $true) & (setukpairIL = $true) & (upairinpowunion = $true) & (setminusSubset2 = $true) & (prop2setI = $true) & (powersetE = $true) & (singletonsubset = $true) & (kpairiskpair = $true) & (binintersectT_lem = $true) & (complementTI1 = $true) & (symdiffE = $true) & (ap2p = $true) & (dsetconstrI = $true) & (nonemptyE1 = $true) & (binunionIL = $true) & (emptysetAx = $true) & (exuEu = $true) & (symdiffI1 = $true) & (foundationAx = $true) & (binunionTE = $true) & (ksndsingleton = $true) & (cartprodfstpairEq = $true) & (omega__Cong = $true) & (binunionTILcontra = $true) & (demorgan2a2 = $true) & (subsetI1 = $true) & (uniqinunit = $true) & (inCongP = $true) & (bs114d = $true) & (powersetE1 = $true) & (subPowSU = $true) & (cartprodmempaircEq = $true) & (funcextLem = $true) & (dpsetconstrERa = $true) & (contrasubsetT3 = $true) & (notequalI1 = $true) & (inIntersectImpInUnion2 = $true) & (funcinfuncset = $true) & (powerset__Cong = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (subset2powerset = $true) & (apProp = $true) & (upairsubunion = $true) & (upairsetE = $true) & (setminusSubset1 = $true) & (emptyI = $true) & (ex1I = $true) & (cartprodmempair1 = $true) & (theprop = $true) & (setbeta = $true) & (setukpairinjL2 = $true) & (upairset2IR = $true) & (omega0Ax = $true) & (lamp = $true) & (setukpairinjR12 = $true) & (setadjoinOr = $true) & (inIntersectImpInIntersectUnions = $true) & (setukpairinjL = $true) & (binintersectI = $true) & (exuE1 = $true) & (eqimpsubset2 = $true) & (iftrueProp2 = $true) & (inComplementUnionImpInComplement1 = $true) & (complementSubsetComplementIntersect = $true) & (complementImpComplementIntersect = $true) & (eta1 = $true) & (quantDeMorgan3 = $true) & (notsubsetI = $true) & (funcext2 = $true) & (symdiffI2 = $true) & (exuI1 = $true) & (quantDeMorgan2 = $true) & (emptyinunitempty = $true) & (ap2apEq1 = $true) & (setminusEL = $true) & (iftrueProp1 = $true) & (setunion__Cong = $true) & (binunionRsub = $true) & (ifSingleton = $true) & (powersetI = $true) & (setadjoinIR = $true) & (exuE2 = $true) & (upairset2E = $true) & (setextsub = $true) & (iffalseProp1 = $true) & (binintersectRsub = $true) & (setminusELneg = $true) & (setunionsingleton2 = $true) & (infuncsetfunc = $true) & (ap2apEq2 = $true) & (subsetTI = $true) & (ex1E2 = $true) & (powersetAx = $true) & (exuE3e = $true) & (upairequniteq = $true) & (beta1 = $true) & (complementTE1 = $true) & (setadjoinAx = $true) & (kpairsurjEq = $true) & (powersetTE1 = $true)), 0.22/0.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK205,sK206,sK207,sK208])],[f1173,f1506,f1505,f1504])). 0.22/0.55 thf(f1504,plain,( 0.22/0.55 ? [X0,X1] : (? [X2] : (? [X3] : (((in @ X3 @ (binunion @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2))) != $true) & ((in @ X3 @ X0) = $true) & ((in @ X3 @ (setminus @ X0 @ (binintersect @ X1 @ X2))) = $true)) & ((in @ X2 @ (powerset @ X0)) = $true)) & ((in @ X1 @ (powerset @ X0)) = $true)) => (? [X2] : (? [X3] : (((in @ X3 @ (binunion @ (setminus @ sK205 @ sK206) @ (setminus @ sK205 @ X2))) != $true) & ($true = (in @ X3 @ sK205)) & ((in @ X3 @ (setminus @ sK205 @ (binintersect @ sK206 @ X2))) = $true)) & ((in @ X2 @ (powerset @ sK205)) = $true)) & ((in @ sK206 @ (powerset @ sK205)) = $true))), 0.22/0.55 introduced(choice_axiom,[])). 0.22/0.55 thf(f1505,plain,( 0.22/0.55 ? [X2] : (? [X3] : (((in @ X3 @ (binunion @ (setminus @ sK205 @ sK206) @ (setminus @ sK205 @ X2))) != $true) & ($true = (in @ X3 @ sK205)) & ((in @ X3 @ (setminus @ sK205 @ (binintersect @ sK206 @ X2))) = $true)) & ((in @ X2 @ (powerset @ sK205)) = $true)) => (? [X3] : (((in @ X3 @ (binunion @ (setminus @ sK205 @ sK206) @ (setminus @ sK205 @ sK207))) != $true) & ($true = (in @ X3 @ sK205)) & ((in @ X3 @ (setminus @ sK205 @ (binintersect @ sK206 @ sK207))) = $true)) & ((in @ sK207 @ (powerset @ sK205)) = $true))), 0.22/0.55 introduced(choice_axiom,[])). 0.22/0.55 thf(f1506,plain,( 0.22/0.55 ? [X3] : (((in @ X3 @ (binunion @ (setminus @ sK205 @ sK206) @ (setminus @ sK205 @ sK207))) != $true) & ($true = (in @ X3 @ sK205)) & ((in @ X3 @ (setminus @ sK205 @ (binintersect @ sK206 @ sK207))) = $true)) => (((in @ sK208 @ (binunion @ (setminus @ sK205 @ sK206) @ (setminus @ sK205 @ sK207))) != $true) & ((in @ sK208 @ sK205) = $true) & ((in @ sK208 @ (setminus @ sK205 @ (binintersect @ sK206 @ sK207))) = $true))), 0.22/0.55 introduced(choice_axiom,[])). 0.22/0.55 thf(f1173,plain,( 0.22/0.55 (setminusER = $true) & (doubleComplementI1 = $true) & (funcImageSingleton = $true) & (setukpairinjR = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan1 = $true) & (kpairp = $true) & (noeltsimpempty = $true) & (setminusIRneg = $true) & (sepSubset = $true) & (brelnall2 = $true) & (setukpairinjL1 = $true) & (exuE3u = $true) & (kfstpairEq = $true) & (doubleComplementE1 = $true) & (beta2 = $true) & (emptysetE = $true) & ? [X0,X1] : (? [X2] : (? [X3] : (((in @ X3 @ (binunion @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2))) != $true) & ((in @ X3 @ X0) = $true) & ((in @ X3 @ (setminus @ X0 @ (binintersect @ X1 @ X2))) = $true)) & ((in @ X2 @ (powerset @ X0)) = $true)) & ((in @ X1 @ (powerset @ X0)) = $true)) & (subsetTrans = $true) & (eqinunit = $true) & (dpsetconstrI = $true) & (funcGraphProp4 = $true) & (contraSubsetComplement = $true) & (in__Cong = $true) & (eta2 = $true) & (binintersectSubset1 = $true) & (iffalseProp2 = $true) & (symdiffIneg1 = $true) & (subsetI2 = $true) & (ex1E1 = $true) & (symdiffIneg2 = $true) & (cartprodmempair = $true) & (inComplementUnionImpNotIn1 = $true) & (setext = $true) & (ifp = $true) & (powersetsubset = $true) & (prop2set2propI = $true) & (emptyInPowerset = $true) & (complementTcontraSubset = $true) & (funcext = $true) & (notequalI2 = $true) & (singletoninpowunion = $true) & (ksndpairEq = $true) & (dpsetconstrER = $true) & (notdallE = $true) & (dsetconstrER = $true) & (theeq = $true) & (setukpairinjR11 = $true) & (sepInPowerset = $true) & (binunionEcases = $true) & (emptyinPowerset = $true) & (ex1I2 = $true) & (singletonprop = $true) & (cartprodpairmemER = $true) & (doubleComplementSub2 = $true) & (subbreln = $true) & (binintersectEL = $true) & (dsetconstr__Cong = $true) & (funcGraphProp2 = $true) & (binintersectLsub = $true) & (complementInPowersetComplementIntersect = $true) & (cartprodpairin = $true) & (setukpairinjR1 = $true) & (cartprodpairsurjEq = $true) & (binunionTIRcontra = $true) & (singletoninpowerset = $true) & (cartprodsndpairEq = $true) & (binintersectSubset4 = $true) & (dsetconstrEL = $true) & (setadjoinSub = $true) & (contrasubsetT1 = $true) & (setadjoin__Cong = $true) & (descr__Cong = $true) & (omegaIndAx = $true) & (setunionsingleton = $true) & (binunionIR = $true) & (ubforcartprodlem3 = $true) & (lam2p = $true) & (dpsetconstrEL2 = $true) & (subsetRefl = $true) & (upairsetIL = $true) & (brelnall1 = $true) & (doubleComplementEq = $true) & (omegaSAx = $true) & (binintersectSubset2 = $true) & (binunionE = $true) & (replAx = $true) & (binintersectTERcontra = $true) & (prop2setE = $true) & (emptyE1 = $true) & (kfstsingleton = $true) & (eqbreln = $true) & (intersectInPowersetIntersectUnions = $true) & (setunionE2 = $true) & (binintersectSubset5 = $true) & (binintersectER = $true) & (eqimpsubset1 = $true) & (complementUnionInPowersetComplement = $true) & (setminusT_lem = $true) & (emptysetsubset = $true) & (nonemptyI1 = $true) & (complementT_lem = $true) & (lam2lamEq = $true) & (setextT = $true) & (nonemptyImpWitness = $true) & (exuI2 = $true) & (setukpairIR = $true) & (ubforcartprodlem2 = $true) & (setadjoinIL = $true) & (binunionT_lem = $true) & (exuI3 = $true) & (cartprodfstin = $true) & (ubforcartprodlem1 = $true) & (powersetI1 = $true) & (setadjoinSub2 = $true) & (dpsetconstrSub = $true) & (upairsetIR = $true) & (powersetT_lem = $true) & (cartprodsndin = $true) & (doubleComplementSub1 = $true) & (setadjoinE = $true) & (emptyset__Cong = $true) & (cartprodpairmemEL = $true) & (setoftrueEq = $true) & (exu__Cong = $true) & (app = $true) & (setOfPairsIsBReln = $true) & (contrasubsetT = $true) & (binunionLsub = $true) & (subsetE = $true) & (nonemptyI = $true) & (setminusERneg = $true) & (setunionE = $true) & (setminusILneg = $true) & (setminusI = $true) & (disjointsetsI1 = $true) & (funcGraphProp1 = $true) & (setminusLsub = $true) & (notinsingleton = $true) & (singletonsswitch = $true) & (iffalse = $true) & (secondinupair = $true) & (inPowerset = $true) & (powersetTI1 = $true) & (setunionI = $true) & (dpsetconstrEL1 = $true) & (wellorderingAx = $true) & (setunionsingleton1 = $true) & (iftrueorfalse = $true) & (binintersectSubset3 = $true) & (subsetE2 = $true) & (setukpairinjR2 = $true) & (contrasubsetT2 = $true) & (binunionTEcontra = $true) & (notdexE = $true) & (singletonsuniq = $true) & (descrp = $true) & (iftrue = $true) & (lamProp = $true) & (binintersectTELcontra = $true) & (complementTnotintersectT = $true) & (funcGraphProp3 = $true) & (inIntersectImpInUnion = $true) & (subsetemptysetimpeq = $true) & (setextAx = $true) & (demorgan2a1 = $true) & (setunionAx = $true) & (vacuousDall = $true) & (setukpairIL = $true) & (upairinpowunion = $true) & (setminusSubset2 = $true) & (prop2setI = $true) & (powersetE = $true) & (singletonsubset = $true) & (kpairiskpair = $true) & (binintersectT_lem = $true) & (complementTI1 = $true) & (symdiffE = $true) & (ap2p = $true) & (dsetconstrI = $true) & (nonemptyE1 = $true) & (binunionIL = $true) & (emptysetAx = $true) & (exuEu = $true) & (symdiffI1 = $true) & (foundationAx = $true) & (binunionTE = $true) & (ksndsingleton = $true) & (cartprodfstpairEq = $true) & (omega__Cong = $true) & (binunionTILcontra = $true) & (demorgan2a2 = $true) & (subsetI1 = $true) & (uniqinunit = $true) & (inCongP = $true) & (bs114d = $true) & (powersetE1 = $true) & (subPowSU = $true) & (cartprodmempaircEq = $true) & (funcextLem = $true) & (dpsetconstrERa = $true) & (contrasubsetT3 = $true) & (notequalI1 = $true) & (inIntersectImpInUnion2 = $true) & (funcinfuncset = $true) & (powerset__Cong = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (subset2powerset = $true) & (apProp = $true) & (upairsubunion = $true) & (upairsetE = $true) & (setminusSubset1 = $true) & (emptyI = $true) & (ex1I = $true) & (cartprodmempair1 = $true) & (theprop = $true) & (setbeta = $true) & (setukpairinjL2 = $true) & (upairset2IR = $true) & (omega0Ax = $true) & (lamp = $true) & (setukpairinjR12 = $true) & (setadjoinOr = $true) & (inIntersectImpInIntersectUnions = $true) & (setukpairinjL = $true) & (binintersectI = $true) & (exuE1 = $true) & (eqimpsubset2 = $true) & (iftrueProp2 = $true) & (inComplementUnionImpInComplement1 = $true) & (complementSubsetComplementIntersect = $true) & (complementImpComplementIntersect = $true) & (eta1 = $true) & (quantDeMorgan3 = $true) & (notsubsetI = $true) & (funcext2 = $true) & (symdiffI2 = $true) & (exuI1 = $true) & (quantDeMorgan2 = $true) & (emptyinunitempty = $true) & (ap2apEq1 = $true) & (setminusEL = $true) & (iftrueProp1 = $true) & (setunion__Cong = $true) & (binunionRsub = $true) & (ifSingleton = $true) & (powersetI = $true) & (setadjoinIR = $true) & (exuE2 = $true) & (upairset2E = $true) & (setextsub = $true) & (iffalseProp1 = $true) & (binintersectRsub = $true) & (setminusELneg = $true) & (setunionsingleton2 = $true) & (infuncsetfunc = $true) & (ap2apEq2 = $true) & (subsetTI = $true) & (ex1E2 = $true) & (powersetAx = $true) & (exuE3e = $true) & (upairequniteq = $true) & (beta1 = $true) & (complementTE1 = $true) & (setadjoinAx = $true) & (kpairsurjEq = $true) & (powersetTE1 = $true)), 0.22/0.55 inference(flattening,[],[f1172])). 0.22/0.55 thf(f1172,plain,( 0.22/0.55 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : (? [X3] : ((((in @ X3 @ (binunion @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2))) != $true) & ((in @ X3 @ (setminus @ X0 @ (binintersect @ X1 @ X2))) = $true)) & ((in @ X3 @ X0) = $true)) & ((in @ X2 @ (powerset @ X0)) = $true)) & ((in @ X1 @ (powerset @ X0)) = $true)) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)), 0.22/0.55 inference(ennf_transformation,[],[f328])). 0.22/0.55 thf(f328,plain,( 0.22/0.55 ~((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] : (((in @ X1 @ (powerset @ X0)) = $true) => ! [X2] : (((in @ X2 @ (powerset @ X0)) = $true) => ! [X3] : (((in @ X3 @ X0) = $true) => (((in @ X3 @ (setminus @ X0 @ (binintersect @ X1 @ X2))) = $true) => ((in @ X3 @ (binunion @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2))) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.22/0.55 inference(fool_elimination,[],[f327])). 0.22/0.55 thf(f327,plain,( 0.22/0.55 ~(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.22/0.55 inference(rectify,[],[f273])). 0.22/0.55 thf(f273,negated_conjecture,( 0.22/0.55 ~(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.22/0.55 inference(negated_conjecture,[],[f272])). 0.22/0.55 thf(f272,conjecture,( 0.22/0.55 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.22/0.55 file('/export/starexec/sandbox/tmp/tmp.XY4ZxAVAlR/E---3.1_22633.p',demorgan1a)). 0.22/0.55 thf(f4202,plain,( 0.22/0.55 ((in @ sK208 @ sK205) = $true) | (setminusEL != $true)), 0.22/0.55 inference(trivial_inequality_removal,[],[f4195])). 0.22/0.55 thf(f4195,plain,( 0.22/0.55 (setminusEL != $true) | ((in @ sK208 @ sK205) = $true) | ($true != $true)), 0.22/0.55 inference(superposition,[],[f3574,f3017])). 0.22/0.55 thf(f3017,plain,( 0.22/0.55 ((in @ sK208 @ (setminus @ sK205 @ (binintersect @ sK206 @ sK207))) = $true)), 0.22/0.55 inference(cnf_transformation,[],[f1507])). 0.22/0.55 thf(f3574,plain,( 0.22/0.55 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X5 @ (setminus @ X3 @ X4)) != $true) | ((in @ X5 @ X3) = $true) | (setminusEL != $true)) )), 0.22/0.55 inference(cnf_transformation,[],[f2097])). 0.22/0.55 thf(f2097,plain,( 0.22/0.55 ((setminusEL = $true) | (((in @ sK595 @ sK593) != $true) & ((in @ sK595 @ (setminus @ sK593 @ sK594)) = $true))) & (! [X3,X4,X5] : (((in @ X5 @ X3) = $true) | ((in @ X5 @ (setminus @ X3 @ X4)) != $true)) | (setminusEL != $true))), 0.22/0.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK593,sK594,sK595])],[f2095,f2096])). 0.22/0.55 thf(f2096,plain,( 0.22/0.55 ? [X0,X1,X2] : (((in @ X2 @ X0) != $true) & ((in @ X2 @ (setminus @ X0 @ X1)) = $true)) => (((in @ sK595 @ sK593) != $true) & ((in @ sK595 @ (setminus @ sK593 @ sK594)) = $true))), 0.22/0.55 introduced(choice_axiom,[])). 0.22/0.55 thf(f2095,plain,( 0.22/0.55 ((setminusEL = $true) | ? [X0,X1,X2] : (((in @ X2 @ X0) != $true) & ((in @ X2 @ (setminus @ X0 @ X1)) = $true))) & (! [X3,X4,X5] : (((in @ X5 @ X3) = $true) | ((in @ X5 @ (setminus @ X3 @ X4)) != $true)) | (setminusEL != $true))), 0.22/0.55 inference(rectify,[],[f2094])). 0.22/0.55 thf(f2094,plain,( 0.22/0.55 ((setminusEL = $true) | ? [X0,X1,X2] : (((in @ X2 @ X0) != $true) & ((in @ X2 @ (setminus @ X0 @ X1)) = $true))) & (! [X0,X1,X2] : (((in @ X2 @ X0) = $true) | ((in @ X2 @ (setminus @ X0 @ X1)) != $true)) | (setminusEL != $true))), 0.22/0.55 inference(nnf_transformation,[],[f1000])). 0.22/0.55 thf(f1000,plain,( 0.22/0.55 (setminusEL = $true) <=> ! [X0,X1,X2] : (((in @ X2 @ X0) = $true) | ((in @ X2 @ (setminus @ X0 @ X1)) != $true))), 0.22/0.55 inference(ennf_transformation,[],[f571])). 0.22/0.55 thf(f571,plain,( 0.22/0.55 (setminusEL = $true) <=> ! [X0,X1,X2] : (((in @ X2 @ (setminus @ X0 @ X1)) = $true) => ((in @ X2 @ X0) = $true))), 0.22/0.55 inference(fool_elimination,[],[f570])). 0.22/0.55 thf(f570,plain,( 0.22/0.55 (! [X0,X1,X2] : ((in @ X2 @ (setminus @ X0 @ X1)) => (in @ X2 @ X0)) = setminusEL)), 0.22/0.55 inference(rectify,[],[f121])). 0.22/0.55 thf(f121,axiom,( 0.22/0.55 (! [X3,X4,X1] : ((in @ X1 @ (setminus @ X3 @ X4)) => (in @ X1 @ X3)) = setminusEL)), 0.22/0.55 file('/export/starexec/sandbox/tmp/tmp.XY4ZxAVAlR/E---3.1_22633.p',setminusEL)). 0.22/0.55 thf(f4588,plain,( 0.22/0.55 ((in @ sK208 @ sK205) != $true) | ((in @ sK208 @ sK206) = $true) | spl862_14), 0.22/0.55 inference(trivial_inequality_removal,[],[f4587])). 0.22/0.55 thf(f4587,plain,( 0.22/0.55 ((in @ sK208 @ sK206) = $true) | ($true != $true) | ((in @ sK208 @ sK205) != $true) | spl862_14), 0.22/0.55 inference(forward_demodulation,[],[f4560,f2898])). 0.22/0.55 thf(f2898,plain,( 0.22/0.55 (setminusI = $true)), 0.22/0.55 inference(cnf_transformation,[],[f1507])). 0.22/0.55 thf(f4560,plain,( 0.22/0.55 ((in @ sK208 @ sK206) = $true) | (setminusI != $true) | ((in @ sK208 @ sK205) != $true) | spl862_14), 0.22/0.55 inference(trivial_inequality_removal,[],[f4551])). 0.22/0.55 thf(f4551,plain,( 0.22/0.55 (setminusI != $true) | ((in @ sK208 @ sK206) = $true) | ((in @ sK208 @ sK205) != $true) | ($true != $true) | spl862_14), 0.22/0.55 inference(superposition,[],[f4267,f3431])). 0.22/0.55 thf(f3431,plain,( 0.22/0.55 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X5 @ (setminus @ X3 @ X4)) = $true) | (setminusI != $true) | ((in @ X5 @ X4) = $true) | ((in @ X5 @ X3) != $true)) )), 0.22/0.55 inference(cnf_transformation,[],[f1927])). 0.22/0.55 thf(f1927,plain,( 0.22/0.55 ((setminusI = $true) | (((in @ sK491 @ sK490) != $true) & ((in @ sK491 @ sK489) = $true) & ((in @ sK491 @ (setminus @ sK489 @ sK490)) != $true))) & (! [X3,X4,X5] : (((in @ X5 @ X4) = $true) | ((in @ X5 @ X3) != $true) | ((in @ X5 @ (setminus @ X3 @ X4)) = $true)) | (setminusI != $true))), 0.22/0.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK489,sK490,sK491])],[f1925,f1926])). 0.22/0.55 thf(f1926,plain,( 0.22/0.55 ? [X0,X1,X2] : (((in @ X2 @ X1) != $true) & ((in @ X2 @ X0) = $true) & ((in @ X2 @ (setminus @ X0 @ X1)) != $true)) => (((in @ sK491 @ sK490) != $true) & ((in @ sK491 @ sK489) = $true) & ((in @ sK491 @ (setminus @ sK489 @ sK490)) != $true))), 0.22/0.55 introduced(choice_axiom,[])). 0.22/0.55 thf(f1925,plain,( 0.22/0.55 ((setminusI = $true) | ? [X0,X1,X2] : (((in @ X2 @ X1) != $true) & ((in @ X2 @ X0) = $true) & ((in @ X2 @ (setminus @ X0 @ X1)) != $true))) & (! [X3,X4,X5] : (((in @ X5 @ X4) = $true) | ((in @ X5 @ X3) != $true) | ((in @ X5 @ (setminus @ X3 @ X4)) = $true)) | (setminusI != $true))), 0.22/0.55 inference(rectify,[],[f1924])). 0.22/0.55 thf(f1924,plain,( 0.22/0.55 ((setminusI = $true) | ? [X0,X1,X2] : (((in @ X2 @ X1) != $true) & ((in @ X2 @ X0) = $true) & ((in @ X2 @ (setminus @ X0 @ X1)) != $true))) & (! [X0,X1,X2] : (((in @ X2 @ X1) = $true) | ((in @ X2 @ X0) != $true) | ((in @ X2 @ (setminus @ X0 @ X1)) = $true)) | (setminusI != $true))), 0.22/0.55 inference(nnf_transformation,[],[f1037])). 0.22/0.55 thf(f1037,plain,( 0.22/0.55 (setminusI = $true) <=> ! [X0,X1,X2] : (((in @ X2 @ X1) = $true) | ((in @ X2 @ X0) != $true) | ((in @ X2 @ (setminus @ X0 @ X1)) = $true))), 0.22/0.55 inference(flattening,[],[f1036])). 0.22/0.55 thf(f1036,plain,( 0.22/0.55 (setminusI = $true) <=> ! [X0,X1,X2] : ((((in @ X2 @ (setminus @ X0 @ X1)) = $true) | ((in @ X2 @ X1) = $true)) | ((in @ X2 @ X0) != $true))), 0.22/0.55 inference(ennf_transformation,[],[f836])). 0.22/0.55 thf(f836,plain,( 0.22/0.55 (setminusI = $true) <=> ! [X0,X1,X2] : (((in @ X2 @ X0) = $true) => (((in @ X2 @ X1) != $true) => ((in @ X2 @ (setminus @ X0 @ X1)) = $true)))), 0.22/0.55 inference(flattening,[],[f521])). 0.22/0.55 thf(f521,plain,( 0.22/0.55 (setminusI = $true) <=> ! [X0,X1,X2] : (((in @ X2 @ X0) = $true) => (~((in @ X2 @ X1) = $true) => ((in @ X2 @ (setminus @ X0 @ X1)) = $true)))), 0.22/0.55 inference(fool_elimination,[],[f520])). 0.22/0.55 thf(f520,plain,( 0.22/0.55 (setminusI = ! [X0,X1,X2] : ((in @ X2 @ X0) => (~(in @ X2 @ X1) => (in @ X2 @ (setminus @ X0 @ X1)))))), 0.22/0.55 inference(rectify,[],[f120])). 0.22/0.55 thf(f120,axiom,( 0.22/0.55 (setminusI = ! [X3,X4,X1] : ((in @ X1 @ X3) => (~(in @ X1 @ X4) => (in @ X1 @ (setminus @ X3 @ X4)))))), 0.22/0.55 file('/export/starexec/sandbox/tmp/tmp.XY4ZxAVAlR/E---3.1_22633.p',setminusI)). 0.22/0.55 thf(f4267,plain,( 0.22/0.55 ((in @ sK208 @ (setminus @ sK205 @ sK206)) != $true) | spl862_14), 0.22/0.55 inference(avatar_component_clause,[],[f4266])). 0.22/0.55 thf(f4542,plain,( 0.22/0.55 spl862_24 | spl862_9), 0.22/0.55 inference(avatar_split_clause,[],[f4541,f4235,f4474])). 0.22/0.55 thf(f4474,plain,( 0.22/0.55 spl862_24 <=> ((in @ sK208 @ sK207) = $true)), 0.22/0.55 introduced(avatar_definition,[new_symbols(naming,[spl862_24])])). 0.22/0.55 thf(f4235,plain,( 0.22/0.55 spl862_9 <=> ((in @ sK208 @ (setminus @ sK205 @ sK207)) = $true)), 0.22/0.55 introduced(avatar_definition,[new_symbols(naming,[spl862_9])])). 0.22/0.55 thf(f4541,plain,( 0.22/0.55 ((in @ sK208 @ sK207) = $true) | spl862_9), 0.22/0.55 inference(trivial_inequality_removal,[],[f4540])). 0.22/0.55 thf(f4540,plain,( 0.22/0.55 ((in @ sK208 @ sK207) = $true) | ($true != $true) | spl862_9), 0.22/0.55 inference(forward_demodulation,[],[f4539,f2898])). 0.22/0.55 thf(f4539,plain,( 0.22/0.55 (setminusI != $true) | ((in @ sK208 @ sK207) = $true) | spl862_9), 0.22/0.55 inference(trivial_inequality_removal,[],[f4538])). 0.22/0.55 thf(f4538,plain,( 0.22/0.55 ($true != $true) | ((in @ sK208 @ sK207) = $true) | (setminusI != $true) | spl862_9), 0.22/0.55 inference(forward_demodulation,[],[f4501,f4282])). 0.22/0.55 thf(f4501,plain,( 0.22/0.55 ((in @ sK208 @ sK205) != $true) | (setminusI != $true) | ((in @ sK208 @ sK207) = $true) | spl862_9), 0.22/0.55 inference(trivial_inequality_removal,[],[f4493])). 0.22/0.55 thf(f4493,plain,( 0.22/0.55 ((in @ sK208 @ sK205) != $true) | (setminusI != $true) | ($true != $true) | ((in @ sK208 @ sK207) = $true) | spl862_9), 0.22/0.55 inference(superposition,[],[f4236,f3431])). 0.22/0.55 thf(f4236,plain,( 0.22/0.55 ((in @ sK208 @ (setminus @ sK205 @ sK207)) != $true) | spl862_9), 0.22/0.55 inference(avatar_component_clause,[],[f4235])). 0.22/0.55 thf(f4484,plain,( 0.22/0.55 ~spl862_25 | ~spl862_24 | spl862_8), 0.22/0.55 inference(avatar_split_clause,[],[f4479,f4228,f4474,f4481])). 0.22/0.55 thf(f4228,plain,( 0.22/0.55 spl862_8 <=> ((in @ sK208 @ (binintersect @ sK206 @ sK207)) = $true)), 0.22/0.55 introduced(avatar_definition,[new_symbols(naming,[spl862_8])])). 0.22/0.55 thf(f4479,plain,( 0.22/0.55 ((in @ sK208 @ sK207) != $true) | ((in @ sK208 @ sK206) != $true) | spl862_8), 0.22/0.55 inference(trivial_inequality_removal,[],[f4478])). 0.22/0.55 thf(f4478,plain,( 0.22/0.55 ((in @ sK208 @ sK206) != $true) | ($true != $true) | ((in @ sK208 @ sK207) != $true) | spl862_8), 0.22/0.55 inference(forward_demodulation,[],[f4464,f2806])). 0.22/0.55 thf(f2806,plain,( 0.22/0.55 (binintersectI = $true)), 0.22/0.55 inference(cnf_transformation,[],[f1507])). 0.22/0.55 thf(f4464,plain,( 0.22/0.55 (binintersectI != $true) | ((in @ sK208 @ sK206) != $true) | ((in @ sK208 @ sK207) != $true) | spl862_8), 0.22/0.55 inference(trivial_inequality_removal,[],[f4457])). 0.22/0.55 thf(f4457,plain,( 0.22/0.55 ((in @ sK208 @ sK207) != $true) | (binintersectI != $true) | ($true != $true) | ((in @ sK208 @ sK206) != $true) | spl862_8), 0.22/0.55 inference(superposition,[],[f4230,f3857])). 0.22/0.55 thf(f3857,plain,( 0.22/0.55 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X5 @ (binintersect @ X4 @ X3)) = $true) | (binintersectI != $true) | ((in @ X5 @ X4) != $true) | ((in @ X5 @ X3) != $true)) )), 0.22/0.55 inference(cnf_transformation,[],[f2434])). 0.22/0.55 thf(f2434,plain,( 0.22/0.55 ((binintersectI = $true) | (((in @ sK807 @ sK805) = $true) & ((in @ sK807 @ (binintersect @ sK806 @ sK805)) != $true) & ((in @ sK807 @ sK806) = $true))) & (! [X3,X4,X5] : (((in @ X5 @ X3) != $true) | ((in @ X5 @ (binintersect @ X4 @ X3)) = $true) | ((in @ X5 @ X4) != $true)) | (binintersectI != $true))), 0.22/0.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK805,sK806,sK807])],[f2432,f2433])). 0.22/0.55 thf(f2433,plain,( 0.22/0.55 ? [X0,X1,X2] : (((in @ X2 @ X0) = $true) & ((in @ X2 @ (binintersect @ X1 @ X0)) != $true) & ((in @ X2 @ X1) = $true)) => (((in @ sK807 @ sK805) = $true) & ((in @ sK807 @ (binintersect @ sK806 @ sK805)) != $true) & ((in @ sK807 @ sK806) = $true))), 0.22/0.55 introduced(choice_axiom,[])). 0.22/0.55 thf(f2432,plain,( 0.22/0.55 ((binintersectI = $true) | ? [X0,X1,X2] : (((in @ X2 @ X0) = $true) & ((in @ X2 @ (binintersect @ X1 @ X0)) != $true) & ((in @ X2 @ X1) = $true))) & (! [X3,X4,X5] : (((in @ X5 @ X3) != $true) | ((in @ X5 @ (binintersect @ X4 @ X3)) = $true) | ((in @ X5 @ X4) != $true)) | (binintersectI != $true))), 0.22/0.55 inference(rectify,[],[f2431])). 0.22/0.55 thf(f2431,plain,( 0.22/0.55 ((binintersectI = $true) | ? [X0,X1,X2] : (((in @ X2 @ X0) = $true) & ((in @ X2 @ (binintersect @ X1 @ X0)) != $true) & ((in @ X2 @ X1) = $true))) & (! [X0,X1,X2] : (((in @ X2 @ X0) != $true) | ((in @ X2 @ (binintersect @ X1 @ X0)) = $true) | ((in @ X2 @ X1) != $true)) | (binintersectI != $true))), 0.22/0.55 inference(nnf_transformation,[],[f1060])). 0.22/0.55 thf(f1060,plain,( 0.22/0.55 (binintersectI = $true) <=> ! [X0,X1,X2] : (((in @ X2 @ X0) != $true) | ((in @ X2 @ (binintersect @ X1 @ X0)) = $true) | ((in @ X2 @ X1) != $true))), 0.22/0.55 inference(flattening,[],[f1059])). 0.22/0.55 thf(f1059,plain,( 0.22/0.55 ! [X0,X1,X2] : ((((in @ X2 @ (binintersect @ X1 @ X0)) = $true) | ((in @ X2 @ X0) != $true)) | ((in @ X2 @ X1) != $true)) <=> (binintersectI = $true)), 0.22/0.55 inference(ennf_transformation,[],[f583])). 0.22/0.55 thf(f583,plain,( 0.22/0.55 ! [X0,X1,X2] : (((in @ X2 @ X1) = $true) => (((in @ X2 @ X0) = $true) => ((in @ X2 @ (binintersect @ X1 @ X0)) = $true))) <=> (binintersectI = $true)), 0.22/0.55 inference(fool_elimination,[],[f582])). 0.22/0.55 thf(f582,plain,( 0.22/0.55 (! [X0,X1,X2] : ((in @ X2 @ X1) => ((in @ X2 @ X0) => (in @ X2 @ (binintersect @ X1 @ X0)))) = binintersectI)), 0.22/0.55 inference(rectify,[],[f108])). 0.22/0.55 thf(f108,axiom,( 0.22/0.55 (! [X4,X3,X1] : ((in @ X1 @ X3) => ((in @ X1 @ X4) => (in @ X1 @ (binintersect @ X3 @ X4)))) = binintersectI)), 0.22/0.55 file('/export/starexec/sandbox/tmp/tmp.XY4ZxAVAlR/E---3.1_22633.p',binintersectI)). 0.22/0.55 thf(f4230,plain,( 0.22/0.55 ((in @ sK208 @ (binintersect @ sK206 @ sK207)) != $true) | spl862_8), 0.22/0.55 inference(avatar_component_clause,[],[f4228])). 0.22/0.55 thf(f4454,plain,( 0.22/0.55 ~spl862_8), 0.22/0.55 inference(avatar_split_clause,[],[f4222,f4228])). 0.22/0.55 thf(f4222,plain,( 0.22/0.55 ((in @ sK208 @ (binintersect @ sK206 @ sK207)) != $true)), 0.22/0.55 inference(trivial_inequality_removal,[],[f4221])). 0.22/0.55 thf(f4221,plain,( 0.22/0.55 ($true != $true) | ((in @ sK208 @ (binintersect @ sK206 @ sK207)) != $true)), 0.22/0.55 inference(forward_demodulation,[],[f4207,f3028])). 0.22/0.55 thf(f3028,plain,( 0.22/0.55 (setminusIRneg = $true)), 0.22/0.55 inference(cnf_transformation,[],[f1507])). 0.22/0.55 thf(f4207,plain,( 0.22/0.55 ((in @ sK208 @ (binintersect @ sK206 @ sK207)) != $true) | (setminusIRneg != $true)), 0.22/0.55 inference(trivial_inequality_removal,[],[f4196])). 0.22/0.55 thf(f4196,plain,( 0.22/0.55 (setminusIRneg != $true) | ((in @ sK208 @ (binintersect @ sK206 @ sK207)) != $true) | ($true != $true)), 0.22/0.55 inference(superposition,[],[f3680,f3017])). 0.22/0.55 thf(f3680,plain,( 0.22/0.55 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X3 @ (setminus @ X5 @ X4)) != $true) | ($true != (in @ X3 @ X4)) | (setminusIRneg != $true)) )), 0.22/0.55 inference(cnf_transformation,[],[f2225])). 0.22/0.55 thf(f2225,plain,( 0.22/0.55 ((setminusIRneg = $true) | (((in @ sK673 @ sK674) = $true) & ((in @ sK673 @ (setminus @ sK675 @ sK674)) = $true))) & (! [X3,X4,X5] : (($true != (in @ X3 @ X4)) | ((in @ X3 @ (setminus @ X5 @ X4)) != $true)) | (setminusIRneg != $true))), 0.22/0.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK673,sK674,sK675])],[f2223,f2224])). 0.22/0.55 thf(f2224,plain,( 0.22/0.55 ? [X0,X1,X2] : (((in @ X0 @ X1) = $true) & ((in @ X0 @ (setminus @ X2 @ X1)) = $true)) => (((in @ sK673 @ sK674) = $true) & ((in @ sK673 @ (setminus @ sK675 @ sK674)) = $true))), 0.22/0.55 introduced(choice_axiom,[])). 0.22/0.55 thf(f2223,plain,( 0.22/0.55 ((setminusIRneg = $true) | ? [X0,X1,X2] : (((in @ X0 @ X1) = $true) & ((in @ X0 @ (setminus @ X2 @ X1)) = $true))) & (! [X3,X4,X5] : (($true != (in @ X3 @ X4)) | ((in @ X3 @ (setminus @ X5 @ X4)) != $true)) | (setminusIRneg != $true))), 0.22/0.55 inference(rectify,[],[f2222])). 0.22/0.55 thf(f2222,plain,( 0.22/0.55 ((setminusIRneg = $true) | ? [X0,X1,X2] : (((in @ X0 @ X1) = $true) & ((in @ X0 @ (setminus @ X2 @ X1)) = $true))) & (! [X0,X1,X2] : (((in @ X0 @ X1) != $true) | ((in @ X0 @ (setminus @ X2 @ X1)) != $true)) | (setminusIRneg != $true))), 0.22/0.55 inference(nnf_transformation,[],[f1164])). 0.22/0.55 thf(f1164,plain,( 0.22/0.55 (setminusIRneg = $true) <=> ! [X0,X1,X2] : (((in @ X0 @ X1) != $true) | ((in @ X0 @ (setminus @ X2 @ X1)) != $true))), 0.22/0.55 inference(ennf_transformation,[],[f819])). 0.22/0.55 thf(f819,plain,( 0.22/0.55 ! [X0,X1,X2] : (((in @ X0 @ X1) = $true) => ((in @ X0 @ (setminus @ X2 @ X1)) != $true)) <=> (setminusIRneg = $true)), 0.22/0.55 inference(flattening,[],[f359])). 0.22/0.55 thf(f359,plain,( 0.22/0.55 ! [X0,X1,X2] : (((in @ X0 @ X1) = $true) => ~((in @ X0 @ (setminus @ X2 @ X1)) = $true)) <=> (setminusIRneg = $true)), 0.22/0.55 inference(fool_elimination,[],[f358])). 0.22/0.55 thf(f358,plain,( 0.22/0.55 (! [X0,X1,X2] : ((in @ X0 @ X1) => ~(in @ X0 @ (setminus @ X2 @ X1))) = setminusIRneg)), 0.22/0.55 inference(rectify,[],[f127])). 0.22/0.55 thf(f127,axiom,( 0.22/0.55 (! [X1,X4,X3] : ((in @ X1 @ X4) => ~(in @ X1 @ (setminus @ X3 @ X4))) = setminusIRneg)), 0.22/0.55 file('/export/starexec/sandbox/tmp/tmp.XY4ZxAVAlR/E---3.1_22633.p',setminusIRneg)). 0.22/0.55 thf(f4324,plain,( 0.22/0.55 ~spl862_9), 0.22/0.55 inference(avatar_split_clause,[],[f4323,f4235])). 0.22/0.55 thf(f4323,plain,( 0.22/0.55 ((in @ sK208 @ (setminus @ sK205 @ sK207)) != $true)), 0.22/0.55 inference(trivial_inequality_removal,[],[f4322])). 0.22/0.55 thf(f4322,plain,( 0.22/0.55 ((in @ sK208 @ (setminus @ sK205 @ sK207)) != $true) | ($true != $true)), 0.22/0.55 inference(forward_demodulation,[],[f4300,f2957])). 0.22/0.55 thf(f2957,plain,( 0.22/0.55 (binunionIR = $true)), 0.22/0.55 inference(cnf_transformation,[],[f1507])). 0.22/0.55 thf(f4300,plain,( 0.22/0.55 (binunionIR != $true) | ((in @ sK208 @ (setminus @ sK205 @ sK207)) != $true)), 0.22/0.55 inference(trivial_inequality_removal,[],[f4288])). 0.22/0.55 thf(f4288,plain,( 0.22/0.55 ($true != $true) | (binunionIR != $true) | ((in @ sK208 @ (setminus @ sK205 @ sK207)) != $true)), 0.22/0.55 inference(superposition,[],[f3019,f3136])). 0.22/0.55 thf(f3136,plain,( 0.22/0.55 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X3 @ (binunion @ X5 @ X4)) = $true) | ($true != (in @ X3 @ X4)) | (binunionIR != $true)) )), 0.22/0.55 inference(cnf_transformation,[],[f1620])). 0.22/0.55 thf(f1620,plain,( 0.22/0.55 ((binunionIR = $true) | (((in @ sK278 @ (binunion @ sK280 @ sK279)) != $true) & ((in @ sK278 @ sK279) = $true))) & (! [X3,X4,X5] : (((in @ X3 @ (binunion @ X5 @ X4)) = $true) | ($true != (in @ X3 @ X4))) | (binunionIR != $true))), 0.22/0.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK278,sK279,sK280])],[f1618,f1619])). 0.22/0.55 thf(f1619,plain,( 0.22/0.55 ? [X0,X1,X2] : (((in @ X0 @ (binunion @ X2 @ X1)) != $true) & ((in @ X0 @ X1) = $true)) => (((in @ sK278 @ (binunion @ sK280 @ sK279)) != $true) & ((in @ sK278 @ sK279) = $true))), 0.22/0.55 introduced(choice_axiom,[])). 0.22/0.55 thf(f1618,plain,( 0.22/0.55 ((binunionIR = $true) | ? [X0,X1,X2] : (((in @ X0 @ (binunion @ X2 @ X1)) != $true) & ((in @ X0 @ X1) = $true))) & (! [X3,X4,X5] : (((in @ X3 @ (binunion @ X5 @ X4)) = $true) | ($true != (in @ X3 @ X4))) | (binunionIR != $true))), 0.22/0.55 inference(rectify,[],[f1617])). 0.22/0.55 thf(f1617,plain,( 0.22/0.55 ((binunionIR = $true) | ? [X0,X1,X2] : (((in @ X0 @ (binunion @ X2 @ X1)) != $true) & ((in @ X0 @ X1) = $true))) & (! [X0,X1,X2] : (((in @ X0 @ (binunion @ X2 @ X1)) = $true) | ((in @ X0 @ X1) != $true)) | (binunionIR != $true))), 0.22/0.55 inference(nnf_transformation,[],[f1158])). 0.22/0.55 thf(f1158,plain,( 0.22/0.55 (binunionIR = $true) <=> ! [X0,X1,X2] : (((in @ X0 @ (binunion @ X2 @ X1)) = $true) | ((in @ X0 @ X1) != $true))), 0.22/0.55 inference(ennf_transformation,[],[f475])). 0.22/0.55 thf(f475,plain,( 0.22/0.55 ! [X0,X1,X2] : (((in @ X0 @ X1) = $true) => ((in @ X0 @ (binunion @ X2 @ X1)) = $true)) <=> (binunionIR = $true)), 0.22/0.55 inference(fool_elimination,[],[f474])). 0.22/0.55 thf(f474,plain,( 0.22/0.55 (binunionIR = ! [X0,X1,X2] : ((in @ X0 @ X1) => (in @ X0 @ (binunion @ X2 @ X1))))), 0.22/0.55 inference(rectify,[],[f103])). 0.22/0.55 thf(f103,axiom,( 0.22/0.55 (binunionIR = ! [X1,X4,X3] : ((in @ X1 @ X4) => (in @ X1 @ (binunion @ X3 @ X4))))), 0.22/0.55 file('/export/starexec/sandbox/tmp/tmp.XY4ZxAVAlR/E---3.1_22633.p',binunionIR)). 0.22/0.55 thf(f3019,plain,( 0.22/0.55 ((in @ sK208 @ (binunion @ (setminus @ sK205 @ sK206) @ (setminus @ sK205 @ sK207))) != $true)), 0.22/0.55 inference(cnf_transformation,[],[f1507])). 0.22/0.55 thf(f4309,plain,( 0.22/0.55 ~spl862_14), 0.22/0.55 inference(avatar_split_clause,[],[f4308,f4266])). 0.22/0.55 thf(f4308,plain,( 0.22/0.55 ((in @ sK208 @ (setminus @ sK205 @ sK206)) != $true)), 0.22/0.55 inference(trivial_inequality_removal,[],[f4307])). 0.22/0.55 thf(f4307,plain,( 0.22/0.55 ((in @ sK208 @ (setminus @ sK205 @ sK206)) != $true) | ($true != $true)), 0.22/0.55 inference(forward_demodulation,[],[f4306,f2851])). 0.22/0.55 thf(f2851,plain,( 0.22/0.55 (binunionIL = $true)), 0.22/0.55 inference(cnf_transformation,[],[f1507])). 0.22/0.55 thf(f4306,plain,( 0.22/0.55 (binunionIL != $true) | ((in @ sK208 @ (setminus @ sK205 @ sK206)) != $true)), 0.22/0.55 inference(trivial_inequality_removal,[],[f4292])). 0.22/0.55 thf(f4292,plain,( 0.22/0.55 ((in @ sK208 @ (setminus @ sK205 @ sK206)) != $true) | ($true != $true) | (binunionIL != $true)), 0.22/0.55 inference(superposition,[],[f3019,f2538])). 0.22/0.55 thf(f2538,plain,( 0.22/0.55 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X3 @ (binunion @ X5 @ X4)) = $true) | ((in @ X3 @ X5) != $true) | (binunionIL != $true)) )), 0.22/0.55 inference(cnf_transformation,[],[f1238])). 0.22/0.55 thf(f1238,plain,( 0.22/0.55 ((binunionIL = $true) | (((in @ sK31 @ (binunion @ sK33 @ sK32)) != $true) & ((in @ sK31 @ sK33) = $true))) & (! [X3,X4,X5] : (((in @ X3 @ (binunion @ X5 @ X4)) = $true) | ((in @ X3 @ X5) != $true)) | (binunionIL != $true))), 0.22/0.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32,sK33])],[f1236,f1237])). 0.22/0.55 thf(f1237,plain,( 0.22/0.55 ? [X0,X1,X2] : (((in @ X0 @ (binunion @ X2 @ X1)) != $true) & ((in @ X0 @ X2) = $true)) => (((in @ sK31 @ (binunion @ sK33 @ sK32)) != $true) & ((in @ sK31 @ sK33) = $true))), 0.22/0.55 introduced(choice_axiom,[])). 0.22/0.55 thf(f1236,plain,( 0.22/0.55 ((binunionIL = $true) | ? [X0,X1,X2] : (((in @ X0 @ (binunion @ X2 @ X1)) != $true) & ((in @ X0 @ X2) = $true))) & (! [X3,X4,X5] : (((in @ X3 @ (binunion @ X5 @ X4)) = $true) | ((in @ X3 @ X5) != $true)) | (binunionIL != $true))), 0.22/0.55 inference(rectify,[],[f1235])). 0.22/0.55 thf(f1235,plain,( 0.22/0.55 ((binunionIL = $true) | ? [X0,X1,X2] : (((in @ X0 @ (binunion @ X2 @ X1)) != $true) & ((in @ X0 @ X2) = $true))) & (! [X0,X1,X2] : (((in @ X0 @ (binunion @ X2 @ X1)) = $true) | ((in @ X0 @ X2) != $true)) | (binunionIL != $true))), 0.22/0.55 inference(nnf_transformation,[],[f1065])). 0.22/0.55 thf(f1065,plain,( 0.22/0.55 (binunionIL = $true) <=> ! [X0,X1,X2] : (((in @ X0 @ (binunion @ X2 @ X1)) = $true) | ((in @ X0 @ X2) != $true))), 0.22/0.55 inference(ennf_transformation,[],[f284])). 0.22/0.55 thf(f284,plain,( 0.22/0.55 (binunionIL = $true) <=> ! [X0,X1,X2] : (((in @ X0 @ X2) = $true) => ((in @ X0 @ (binunion @ X2 @ X1)) = $true))), 0.22/0.55 inference(fool_elimination,[],[f283])). 0.22/0.55 thf(f283,plain,( 0.22/0.55 (binunionIL = ! [X0,X1,X2] : ((in @ X0 @ X2) => (in @ X0 @ (binunion @ X2 @ X1))))), 0.22/0.55 inference(rectify,[],[f101])). 0.22/0.55 thf(f101,axiom,( 0.22/0.55 (binunionIL = ! [X1,X4,X3] : ((in @ X1 @ X3) => (in @ X1 @ (binunion @ X3 @ X4))))), 0.22/0.55 file('/export/starexec/sandbox/tmp/tmp.XY4ZxAVAlR/E---3.1_22633.p',binunionIL)). 0.22/0.55 % SZS output end Proof for E---3.1_22633 0.22/0.55 % (22784)------------------------------ 0.22/0.55 % (22784)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.55 % (22784)Termination reason: Refutation 0.22/0.55 0.22/0.55 % (22784)Memory used [KB]: 10618 0.22/0.55 % (22784)Time elapsed: 0.111 s 0.22/0.55 % (22784)Instructions burned: 342 (million) 0.22/0.55 % (22784)------------------------------ 0.22/0.55 % (22784)------------------------------ 0.22/0.55 % (22741)Success in time 0.167 s 0.22/0.55 EOF