0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.13 % Command : run_vampire %s %d THM 0.13/0.34 % Computer : n014.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1440 0.13/0.34 % WCLimit : 180 0.13/0.34 % DateTime : Thu Jul 4 07:46:09 EDT 2024 0.13/0.34 % CPUTime : 0.13/0.36 This is a THF_ problem 0.13/0.36 Running higher-order theorem proving 0.22/0.41 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.ISBLsbkwyX/E---3.1_21127.p -m 16384 -t 180 0.22/0.45 % (21377)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_21127 for (1799ds/18Mi) 0.22/0.46 % (21375)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_21127 for (1799ds/2Mi) 0.22/0.46 % (21376)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_21127 for (1799ds/275Mi) 0.22/0.46 % (21374)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_21127 for (1799ds/2Mi) 0.22/0.46 % (21373)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_21127 for (1799ds/27Mi) 0.22/0.46 % (21371)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_21127 for (1799ds/183Mi) 0.22/0.46 % (21372)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_21127 for (1799ds/4Mi) 0.22/0.46 % (21374)Instruction limit reached! 0.22/0.46 % (21374)------------------------------ 0.22/0.46 % (21374)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.46 % (21374)Termination reason: Unknown 0.22/0.46 % (21375)Instruction limit reached! 0.22/0.46 % (21375)------------------------------ 0.22/0.46 % (21375)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.46 % (21375)Termination reason: Unknown 0.22/0.46 % (21375)Termination phase: shuffling 0.22/0.46 0.22/0.46 % (21375)Memory used [KB]: 1407 0.22/0.46 % (21375)Time elapsed: 0.005 s 0.22/0.46 % (21375)Instructions burned: 2 (million) 0.22/0.46 % (21375)------------------------------ 0.22/0.46 % (21375)------------------------------ 0.22/0.46 % (21374)Termination phase: shuffling 0.22/0.46 0.22/0.46 % (21374)Memory used [KB]: 1407 0.22/0.46 % (21374)Time elapsed: 0.005 s 0.22/0.46 % (21374)Instructions burned: 2 (million) 0.22/0.46 % (21374)------------------------------ 0.22/0.46 % (21374)------------------------------ 0.22/0.46 % (21372)Instruction limit reached! 0.22/0.46 % (21372)------------------------------ 0.22/0.46 % (21372)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.46 % (21372)Termination reason: Unknown 0.22/0.46 % (21372)Termination phase: shuffling 0.22/0.46 0.22/0.46 % (21372)Memory used [KB]: 1407 0.22/0.46 % (21372)Time elapsed: 0.006 s 0.22/0.46 % (21372)Instructions burned: 4 (million) 0.22/0.46 % (21372)------------------------------ 0.22/0.46 % (21372)------------------------------ 0.22/0.46 % (21377)Instruction limit reached! 0.22/0.46 % (21377)------------------------------ 0.22/0.46 % (21377)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.46 % (21377)Termination reason: Unknown 0.22/0.46 % (21377)Termination phase: shuffling 0.22/0.46 0.22/0.46 % (21377)Memory used [KB]: 1791 0.22/0.46 % (21377)Time elapsed: 0.015 s 0.22/0.46 % (21377)Instructions burned: 18 (million) 0.22/0.46 % (21377)------------------------------ 0.22/0.46 % (21377)------------------------------ 0.26/0.48 % (21373)Instruction limit reached! 0.26/0.48 % (21373)------------------------------ 0.26/0.48 % (21373)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.48 % (21373)Termination reason: Unknown 0.26/0.48 % (21373)Termination phase: shuffling 0.26/0.48 0.26/0.48 % (21373)Memory used [KB]: 2046 0.26/0.48 % (21373)Time elapsed: 0.022 s 0.26/0.48 % (21373)Instructions burned: 28 (million) 0.26/0.48 % (21373)------------------------------ 0.26/0.48 % (21373)------------------------------ 0.26/0.49 % (21386)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_21127 for (1799ds/3Mi) 0.26/0.49 % (21388)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_21127 for (1799ds/15Mi) 0.26/0.49 % (21386)Instruction limit reached! 0.26/0.49 % (21386)------------------------------ 0.26/0.49 % (21386)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.49 % (21386)Termination reason: Unknown 0.26/0.49 % (21386)Termination phase: shuffling 0.26/0.49 0.26/0.49 % (21386)Memory used [KB]: 1407 0.26/0.49 % (21386)Time elapsed: 0.006 s 0.26/0.49 % (21386)Instructions burned: 3 (million) 0.26/0.49 % (21386)------------------------------ 0.26/0.49 % (21386)------------------------------ 0.26/0.49 % (21389)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_21127 for (1799ds/3Mi) 0.26/0.49 % (21387)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_21127 for (1799ds/37Mi) 0.26/0.49 % (21389)Instruction limit reached! 0.26/0.49 % (21389)------------------------------ 0.26/0.49 % (21389)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.49 % (21389)Termination reason: Unknown 0.26/0.49 % (21389)Termination phase: shuffling 0.26/0.49 0.26/0.49 % (21389)Memory used [KB]: 1407 0.26/0.49 % (21389)Time elapsed: 0.005 s 0.26/0.49 % (21389)Instructions burned: 3 (million) 0.26/0.49 % (21389)------------------------------ 0.26/0.49 % (21389)------------------------------ 0.26/0.50 % (21393)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_21127 for (1799ds/1041Mi) 0.26/0.51 % (21388)Instruction limit reached! 0.26/0.51 % (21388)------------------------------ 0.26/0.51 % (21388)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.51 % (21388)Termination reason: Unknown 0.26/0.51 % (21388)Termination phase: shuffling 0.26/0.51 0.26/0.51 % (21388)Memory used [KB]: 1663 0.26/0.51 % (21388)Time elapsed: 0.020 s 0.26/0.51 % (21388)Instructions burned: 15 (million) 0.26/0.51 % (21388)------------------------------ 0.26/0.51 % (21388)------------------------------ 0.26/0.52 % (21398)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_21127 for (1799ds/16Mi) 0.26/0.52 % (21397)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_21127 for (1799ds/7Mi) 0.26/0.52 % (21387)Instruction limit reached! 0.26/0.52 % (21387)------------------------------ 0.26/0.52 % (21387)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.52 % (21387)Termination reason: Unknown 0.26/0.52 % (21387)Termination phase: shuffling 0.26/0.52 0.26/0.52 % (21387)Memory used [KB]: 2302 0.26/0.52 % (21387)Time elapsed: 0.036 s 0.26/0.52 % (21387)Instructions burned: 37 (million) 0.26/0.52 % (21387)------------------------------ 0.26/0.52 % (21387)------------------------------ 0.26/0.52 % (21397)Instruction limit reached! 0.26/0.52 % (21397)------------------------------ 0.26/0.52 % (21397)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.52 % (21397)Termination reason: Unknown 0.26/0.52 % (21397)Termination phase: shuffling 0.26/0.52 0.26/0.52 % (21397)Memory used [KB]: 1535 0.26/0.52 % (21397)Time elapsed: 0.009 s 0.26/0.52 % (21397)Instructions burned: 7 (million) 0.26/0.52 % (21397)------------------------------ 0.26/0.52 % (21397)------------------------------ 0.26/0.53 % (21398)Instruction limit reached! 0.26/0.53 % (21398)------------------------------ 0.26/0.53 % (21398)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.53 % (21398)Termination reason: Unknown 0.26/0.53 % (21398)Termination phase: shuffling 0.26/0.53 0.26/0.53 % (21398)Memory used [KB]: 1791 0.26/0.53 % (21398)Time elapsed: 0.011 s 0.26/0.53 % (21398)Instructions burned: 17 (million) 0.26/0.53 % (21398)------------------------------ 0.26/0.53 % (21398)------------------------------ 0.87/0.54 % (21400)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_21127 for (1799ds/3Mi) 0.87/0.54 % (21400)Instruction limit reached! 0.87/0.54 % (21400)------------------------------ 0.87/0.54 % (21400)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.87/0.54 % (21400)Termination reason: Unknown 0.87/0.54 % (21400)Termination phase: shuffling 0.87/0.54 0.87/0.54 % (21400)Memory used [KB]: 1407 0.87/0.54 % (21400)Time elapsed: 0.006 s 0.87/0.54 % (21400)Instructions burned: 4 (million) 0.87/0.54 % (21400)------------------------------ 0.87/0.54 % (21400)------------------------------ 0.87/0.54 % (21406)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_21127 for (1798ds/3Mi) 0.87/0.54 % (21406)Instruction limit reached! 0.87/0.54 % (21406)------------------------------ 0.87/0.54 % (21406)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.87/0.54 % (21406)Termination reason: Unknown 0.87/0.54 % (21406)Termination phase: shuffling 0.87/0.54 0.87/0.54 % (21406)Memory used [KB]: 1407 0.87/0.54 % (21406)Time elapsed: 0.003 s 0.87/0.54 % (21406)Instructions burned: 3 (million) 0.87/0.54 % (21406)------------------------------ 0.87/0.54 % (21406)------------------------------ 0.87/0.55 % (21405)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_21127 for (1798ds/7Mi) 0.87/0.55 % (21404)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_21127 for (1798ds/3Mi) 0.87/0.55 % (21404)Instruction limit reached! 0.87/0.55 % (21404)------------------------------ 0.87/0.55 % (21404)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.87/0.55 % (21404)Termination reason: Unknown 0.87/0.55 % (21404)Termination phase: shuffling 0.87/0.55 0.87/0.55 % (21404)Memory used [KB]: 1407 0.87/0.55 % (21404)Time elapsed: 0.005 s 0.87/0.55 % (21404)Instructions burned: 3 (million) 0.87/0.55 % (21404)------------------------------ 0.87/0.55 % (21404)------------------------------ 1.02/0.56 % (21405)Instruction limit reached! 1.02/0.56 % (21405)------------------------------ 1.02/0.56 % (21405)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.02/0.56 % (21405)Termination reason: Unknown 1.02/0.56 % (21405)Termination phase: shuffling 1.02/0.56 1.02/0.56 % (21405)Memory used [KB]: 1535 1.02/0.56 % (21405)Time elapsed: 0.009 s 1.02/0.56 % (21405)Instructions burned: 8 (million) 1.02/0.56 % (21405)------------------------------ 1.02/0.56 % (21405)------------------------------ 1.02/0.56 % (21411)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_21127 for (1798ds/18Mi) 1.02/0.57 % (21410)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_21127 for (1798ds/4Mi) 1.02/0.57 % (21411)Instruction limit reached! 1.02/0.57 % (21411)------------------------------ 1.02/0.57 % (21411)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.02/0.57 % (21411)Termination reason: Unknown 1.02/0.57 % (21411)Termination phase: shuffling 1.02/0.57 1.02/0.57 % (21411)Memory used [KB]: 1791 1.02/0.57 % (21411)Time elapsed: 0.012 s 1.02/0.57 % (21411)Instructions burned: 19 (million) 1.02/0.57 % (21411)------------------------------ 1.02/0.57 % (21411)------------------------------ 1.02/0.57 % (21410)Instruction limit reached! 1.02/0.57 % (21410)------------------------------ 1.02/0.57 % (21410)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.02/0.57 % (21410)Termination reason: Unknown 1.02/0.57 % (21410)Termination phase: shuffling 1.02/0.57 1.02/0.57 % (21410)Memory used [KB]: 1407 1.02/0.57 % (21410)Time elapsed: 0.006 s 1.02/0.57 % (21410)Instructions burned: 4 (million) 1.02/0.57 % (21410)------------------------------ 1.02/0.57 % (21410)------------------------------ 1.02/0.58 % (21415)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_21127 for (1798ds/710Mi) 1.02/0.58 % (21417)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_21127 for (1798ds/902Mi) 1.02/0.59 % (21419)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_21127 for (1798ds/21Mi) 1.02/0.59 % (21416)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_21127 for (1798ds/6Mi) 1.02/0.59 % (21416)Instruction limit reached! 1.02/0.59 % (21416)------------------------------ 1.02/0.59 % (21416)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.02/0.59 % (21416)Termination reason: Unknown 1.02/0.59 % (21416)Termination phase: shuffling 1.02/0.59 1.02/0.59 % (21416)Memory used [KB]: 1535 1.02/0.59 % (21416)Time elapsed: 0.004 s 1.02/0.59 % (21416)Instructions burned: 8 (million) 1.02/0.59 % (21416)------------------------------ 1.02/0.59 % (21416)------------------------------ 1.02/0.59 % (21371)Instruction limit reached! 1.02/0.59 % (21371)------------------------------ 1.02/0.59 % (21371)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.02/0.59 % (21371)Termination reason: Unknown 1.02/0.59 % (21371)Termination phase: Saturation 1.02/0.59 1.02/0.59 % (21371)Memory used [KB]: 7675 1.02/0.59 % (21371)Time elapsed: 0.139 s 1.02/0.59 % (21371)Instructions burned: 184 (million) 1.02/0.59 % (21371)------------------------------ 1.02/0.59 % (21371)------------------------------ 1.02/0.60 % (21419)Instruction limit reached! 1.02/0.60 % (21419)------------------------------ 1.02/0.60 % (21419)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.02/0.60 % (21419)Termination reason: Unknown 1.02/0.60 % (21419)Termination phase: shuffling 1.02/0.60 1.02/0.60 % (21419)Memory used [KB]: 1791 1.02/0.60 % (21419)Time elapsed: 0.012 s 1.02/0.60 % (21419)Instructions burned: 22 (million) 1.02/0.60 % (21419)------------------------------ 1.02/0.60 % (21419)------------------------------ 1.02/0.61 % (21424)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_21127 for (1798ds/5Mi) 1.02/0.61 % (21425)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_21127 for (1798ds/6Mi) 1.02/0.61 % (21424)Instruction limit reached! 1.02/0.61 % (21424)------------------------------ 1.02/0.61 % (21424)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.02/0.61 % (21424)Termination reason: Unknown 1.02/0.61 % (21424)Termination phase: shuffling 1.02/0.61 1.02/0.61 % (21424)Memory used [KB]: 1407 1.02/0.61 % (21424)Time elapsed: 0.005 s 1.02/0.61 % (21424)Instructions burned: 5 (million) 1.02/0.61 % (21424)------------------------------ 1.02/0.61 % (21424)------------------------------ 1.02/0.61 % (21426)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_21127 for (1798ds/377Mi) 1.02/0.61 % (21425)Instruction limit reached! 1.02/0.61 % (21425)------------------------------ 1.02/0.61 % (21425)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.02/0.61 % (21425)Termination reason: Unknown 1.02/0.61 % (21425)Termination phase: shuffling 1.02/0.61 1.02/0.61 % (21425)Memory used [KB]: 1535 1.02/0.61 % (21425)Time elapsed: 0.006 s 1.02/0.61 % (21425)Instructions burned: 7 (million) 1.02/0.61 % (21425)------------------------------ 1.02/0.61 % (21425)------------------------------ 1.02/0.63 % (21427)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_21127 for (1798ds/779Mi) 1.02/0.63 % (21428)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_21127 for (1798ds/19Mi) 1.02/0.64 % (21428)Instruction limit reached! 1.02/0.64 % (21428)------------------------------ 1.02/0.64 % (21428)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.02/0.64 % (21428)Termination reason: Unknown 1.02/0.64 % (21428)Termination phase: shuffling 1.02/0.64 1.02/0.64 % (21428)Memory used [KB]: 1791 1.02/0.64 % (21428)Time elapsed: 0.012 s 1.02/0.64 % (21428)Instructions burned: 20 (million) 1.02/0.64 % (21428)------------------------------ 1.02/0.64 % (21428)------------------------------ 1.02/0.65 % (21376)Instruction limit reached! 1.02/0.65 % (21376)------------------------------ 1.02/0.65 % (21376)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.02/0.65 % (21376)Termination reason: Unknown 1.02/0.65 % (21376)Termination phase: Saturation 1.02/0.65 1.02/0.65 % (21376)Memory used [KB]: 9338 1.02/0.65 % (21376)Time elapsed: 0.181 s 1.02/0.65 % (21376)Instructions burned: 276 (million) 1.02/0.65 % (21376)------------------------------ 1.02/0.65 % (21376)------------------------------ 1.45/0.66 % (21431)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_21127 for (1797ds/879Mi) 1.45/0.67 % (21433)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_21127 for (1797ds/17Mi) 1.45/0.67 % (21433)Instruction limit reached! 1.45/0.67 % (21433)------------------------------ 1.45/0.67 % (21433)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.45/0.67 % (21433)Termination reason: Unknown 1.45/0.67 % (21433)Termination phase: shuffling 1.45/0.67 1.45/0.67 % (21433)Memory used [KB]: 1791 1.45/0.67 % (21433)Time elapsed: 0.011 s 1.45/0.67 % (21433)Instructions burned: 17 (million) 1.45/0.67 % (21433)------------------------------ 1.45/0.67 % (21433)------------------------------ 1.45/0.69 % (21436)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_21127 for (1797ds/3Mi) 1.51/0.69 % (21436)Instruction limit reached! 1.51/0.69 % (21436)------------------------------ 1.51/0.69 % (21436)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.51/0.69 % (21436)Termination reason: Unknown 1.51/0.69 % (21436)Termination phase: shuffling 1.51/0.69 1.51/0.69 % (21436)Memory used [KB]: 1407 1.51/0.69 % (21436)Time elapsed: 0.004 s 1.51/0.69 % (21436)Instructions burned: 3 (million) 1.51/0.69 % (21436)------------------------------ 1.51/0.69 % (21436)------------------------------ 1.51/0.71 % (21438)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_21127 for (1797ds/30Mi) 1.51/0.72 % (21438)Instruction limit reached! 1.51/0.72 % (21438)------------------------------ 1.51/0.72 % (21438)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.51/0.72 % (21438)Termination reason: Unknown 1.51/0.72 % (21438)Termination phase: shuffling 1.51/0.72 1.51/0.72 % (21438)Memory used [KB]: 2046 1.51/0.72 % (21438)Time elapsed: 0.018 s 1.51/0.72 % (21438)Instructions burned: 30 (million) 1.51/0.72 % (21438)------------------------------ 1.51/0.72 % (21438)------------------------------ 1.60/0.74 % (21439)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_21127 for (1797ds/127Mi) 1.60/0.80 % (21439)Instruction limit reached! 1.60/0.80 % (21439)------------------------------ 1.60/0.80 % (21439)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.60/0.80 % (21439)Termination reason: Unknown 1.60/0.80 % (21439)Termination phase: Saturation 1.60/0.80 1.60/0.80 % (21439)Memory used [KB]: 7036 1.60/0.80 % (21439)Time elapsed: 0.062 s 1.60/0.80 % (21439)Instructions burned: 127 (million) 1.60/0.80 % (21439)------------------------------ 1.60/0.80 % (21439)------------------------------ 1.67/0.81 % (21426)Instruction limit reached! 1.67/0.81 % (21426)------------------------------ 1.67/0.81 % (21426)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.67/0.81 % (21426)Termination reason: Unknown 1.67/0.81 % (21426)Termination phase: Saturation 1.67/0.81 1.67/0.81 % (21426)Memory used [KB]: 9338 1.67/0.81 % (21426)Time elapsed: 0.198 s 1.67/0.81 % (21426)Instructions burned: 378 (million) 1.67/0.81 % (21426)------------------------------ 1.67/0.81 % (21426)------------------------------ 1.67/0.82 % (21445)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on E---3.1_21127 for (1796ds/100Mi) 1.67/0.83 % (21448)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on E---3.1_21127 for (1796ds/3Mi) 1.67/0.83 % (21448)Instruction limit reached! 1.67/0.83 % (21448)------------------------------ 1.67/0.83 % (21448)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.67/0.83 % (21448)Termination reason: Unknown 1.67/0.83 % (21448)Termination phase: shuffling 1.67/0.83 1.67/0.83 % (21448)Memory used [KB]: 1407 1.67/0.83 % (21448)Time elapsed: 0.004 s 1.67/0.83 % (21448)Instructions burned: 3 (million) 1.67/0.83 % (21448)------------------------------ 1.67/0.83 % (21448)------------------------------ 1.67/0.85 % (21451)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on E---3.1_21127 for (1795ds/20Mi) 2.03/0.86 % (21451)Instruction limit reached! 2.03/0.86 % (21451)------------------------------ 2.03/0.86 % (21451)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.03/0.86 % (21451)Termination reason: Unknown 2.03/0.86 % (21451)Termination phase: Property scanning 2.03/0.86 2.03/0.86 % (21451)Memory used [KB]: 1791 2.03/0.86 % (21451)Time elapsed: 0.015 s 2.03/0.86 % (21451)Instructions burned: 21 (million) 2.03/0.86 % (21451)------------------------------ 2.03/0.86 % (21451)------------------------------ 2.03/0.87 % (21445)Instruction limit reached! 2.03/0.87 % (21445)------------------------------ 2.03/0.87 % (21445)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.03/0.87 % (21445)Termination reason: Unknown 2.03/0.87 % (21445)Termination phase: Property scanning 2.03/0.87 2.03/0.87 % (21445)Memory used [KB]: 2558 2.03/0.87 % (21445)Time elapsed: 0.050 s 2.03/0.87 % (21445)Instructions burned: 100 (million) 2.03/0.87 % (21445)------------------------------ 2.03/0.87 % (21445)------------------------------ 2.03/0.88 % (21454)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on E---3.1_21127 for (1795ds/86Mi) 2.03/0.88 % (21455)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on E---3.1_21127 for (1795ds/107Mi) 2.03/0.89 % (21417)First to succeed. 2.03/0.90 % (21417)Refutation found. Thanks to Tanya! 2.03/0.90 % SZS status Theorem for E---3.1_21127 2.03/0.90 % SZS output start Proof for E---3.1_21127 2.03/0.90 thf(func_def_0, type, in: $i > $i > $o). 2.03/0.90 thf(func_def_1, type, exu: ($i > $o) > $o). 2.03/0.90 thf(func_def_6, type, setadjoin: $i > $i > $i). 2.03/0.90 thf(func_def_8, type, powerset: $i > $i). 2.03/0.90 thf(func_def_10, type, setunion: $i > $i). 2.03/0.90 thf(func_def_19, type, descr: ($i > $o) > $i). 2.03/0.90 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 2.03/0.90 thf(func_def_26, type, prop2set: $o > $i). 2.03/0.90 thf(func_def_36, type, nonempty: $i > $o). 2.03/0.90 thf(func_def_69, type, set2prop: $i > $o). 2.03/0.90 thf(func_def_88, type, subset: $i > $i > $o). 2.03/0.90 thf(func_def_89, type, disjoint: $i > $i > $o). 2.03/0.90 thf(func_def_90, type, setsmeet: $i > $i > $o). 2.03/0.90 thf(func_def_114, type, binunion: $i > $i > $i). 2.03/0.90 thf(func_def_122, type, binintersect: $i > $i > $i). 2.03/0.90 thf(func_def_135, type, regular: $i > $o). 2.03/0.90 thf(func_def_136, type, setminus: $i > $i > $i). 2.03/0.90 thf(func_def_147, type, symdiff: $i > $i > $i). 2.03/0.90 thf(func_def_153, type, iskpair: $i > $o). 2.03/0.90 thf(func_def_158, type, kpair: $i > $i > $i). 2.03/0.90 thf(func_def_160, type, cartprod: $i > $i > $i). 2.03/0.90 thf(func_def_177, type, singleton: $i > $o). 2.03/0.90 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 2.03/0.90 thf(func_def_184, type, atmost1p: $i > $o). 2.03/0.90 thf(func_def_185, type, atleast2p: $i > $o). 2.03/0.90 thf(func_def_186, type, atmost2p: $i > $o). 2.03/0.90 thf(func_def_187, type, upairsetp: $i > $o). 2.03/0.90 thf(func_def_191, type, kfst: $i > $i). 2.03/0.90 thf(func_def_203, type, ksnd: $i > $i). 2.03/0.90 thf(func_def_213, type, breln: $i > $i > $i > $o). 2.03/0.90 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 2.03/0.90 thf(func_def_222, type, func: $i > $i > $i > $o). 2.03/0.90 thf(func_def_223, type, funcSet: $i > $i > $i). 2.03/0.90 thf(func_def_226, type, ap: $i > $i > $i > $i > $i). 2.03/0.90 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i). 2.03/0.90 thf(func_def_259, type, if: $i > $o > $i > $i > $i). 2.03/0.90 thf(func_def_283, type, sP2: $i > $i > $i > $o > $o). 2.03/0.90 thf(func_def_285, type, sP4: $i > $i > $o). 2.03/0.90 thf(func_def_286, type, sP5: $i > $o). 2.03/0.90 thf(func_def_287, type, sP6: $i > $i > $o). 2.03/0.90 thf(func_def_288, type, sP7: $i > $i > $o). 2.03/0.90 thf(func_def_290, type, sP9: $i > $i > $i > $i > $o). 2.03/0.90 thf(func_def_298, type, sK17: ($i > $o) > $i > $i). 2.03/0.90 thf(func_def_300, type, sK19: $i > $o). 2.03/0.90 thf(func_def_302, type, sK21: $i > $o). 2.03/0.90 thf(func_def_309, type, sK28: $i > $i > $i > $i > $i). 2.03/0.90 thf(func_def_317, type, sK36: $i > $i > $o). 2.03/0.90 thf(func_def_322, type, sK41: ($i > $o) > ($i > $o) > $i). 2.03/0.90 thf(func_def_323, type, sK42: ($i > $o) > ($i > $o) > $i). 2.03/0.90 thf(func_def_324, type, sK43: $i > $o). 2.03/0.90 thf(func_def_325, type, sK44: $i > $o). 2.03/0.90 thf(func_def_341, type, sK60: $i > $o). 2.03/0.90 thf(func_def_346, type, sK65: $i > ($i > $o) > $i). 2.03/0.90 thf(func_def_347, type, sK66: $i > $o). 2.03/0.90 thf(func_def_352, type, sK71: $i > $i > $i > $i > $i). 2.03/0.90 thf(func_def_373, type, sK92: $i > $i > $o). 2.03/0.90 thf(func_def_383, type, sK102: $i > ($i > $i) > $i > $i). 2.03/0.90 thf(func_def_385, type, sK104: $i > $i). 2.03/0.90 thf(func_def_419, type, sK138: $i > $i > $o). 2.03/0.90 thf(func_def_420, type, sK139: $i > $i). 2.03/0.90 thf(func_def_421, type, sK140: $i > $i). 2.03/0.90 thf(func_def_422, type, sK141: ($i > $i > $o) > $i > $i). 2.03/0.90 thf(func_def_423, type, sK142: ($i > $i > $o) > $i > $i). 2.03/0.90 thf(func_def_424, type, sK143: $i > ($i > $i > $o) > $i > $i). 2.03/0.90 thf(func_def_428, type, sK147: $i > $o). 2.03/0.90 thf(func_def_430, type, sK149: ($i > $o) > $i > $i > $i > $i). 2.03/0.90 thf(func_def_431, type, sK150: ($i > $o) > $i > $i > $i > $i). 2.03/0.90 thf(func_def_432, type, sK151: $i > $i > $i). 2.03/0.90 thf(func_def_433, type, sK152: $i > $i > $i). 2.03/0.90 thf(func_def_439, type, sK158: ($i > $o) > $i > $i > $i > $i). 2.03/0.90 thf(func_def_440, type, sK159: ($i > $o) > $i > $i > $i > $i). 2.03/0.90 thf(func_def_444, type, sK163: $i > $o). 2.03/0.90 thf(func_def_454, type, sK173: $i > $i > $i > $i). 2.03/0.90 thf(func_def_455, type, sK174: $i > $i > $i > $i). 2.03/0.90 thf(func_def_466, type, sK185: $i > $o). 2.03/0.90 thf(func_def_468, type, sK187: $i > $i > $o). 2.03/0.90 thf(func_def_474, type, sK193: $i > $i). 2.03/0.90 thf(func_def_475, type, sK194: $i > $i). 2.03/0.90 thf(func_def_492, type, sK211: $i > $i > $i > $i > $i). 2.03/0.90 thf(func_def_494, type, sK213: $i > $o). 2.03/0.90 thf(func_def_505, type, sK224: $i > $o). 2.03/0.90 thf(func_def_507, type, sK226: ($i > $o) > $i). 2.03/0.90 thf(func_def_508, type, sK227: ($i > $o) > $i). 2.03/0.90 thf(func_def_510, type, sK229: $i > $o). 2.03/0.90 thf(func_def_514, type, sK233: $i > $o). 2.03/0.90 thf(func_def_515, type, sK234: ($i > $o) > ($i > $o) > $i > $i > $i). 2.03/0.90 thf(func_def_516, type, sK235: ($i > $o) > ($i > $o) > $i > $i > $i). 2.03/0.90 thf(func_def_519, type, sK238: $i > $o). 2.03/0.90 thf(func_def_520, type, sK239: $i > $o). 2.03/0.90 thf(func_def_523, type, sK242: $i > $o). 2.03/0.90 thf(func_def_529, type, sK248: $i > $i). 2.03/0.90 thf(func_def_533, type, sK252: $i > $i > ($i > $i) > $i). 2.03/0.90 thf(func_def_550, type, sK269: $i > $o). 2.03/0.90 thf(func_def_554, type, sK273: $i > $i > $i). 2.03/0.90 thf(func_def_565, type, sK284: $i > $i > ($i > $i) > $i). 2.03/0.90 thf(func_def_566, type, sK285: $i > $i). 2.03/0.90 thf(func_def_570, type, sK289: $i > $i > $i). 2.03/0.90 thf(func_def_578, type, sK297: $i > $i > $i). 2.03/0.90 thf(func_def_583, type, sK302: $i > $o). 2.03/0.90 thf(func_def_586, type, sK305: $i > ($i > $o) > $i). 2.03/0.90 thf(func_def_587, type, sK306: $i > ($i > $o) > $i). 2.03/0.90 thf(func_def_588, type, sK307: ($i > $o) > $i). 2.03/0.90 thf(func_def_589, type, sK308: $i > $o). 2.03/0.90 thf(func_def_590, type, sK309: $i > $i). 2.03/0.90 thf(func_def_603, type, sK322: $i > $i). 2.03/0.90 thf(func_def_627, type, sK346: ($i > $o) > $i). 2.03/0.90 thf(func_def_628, type, sK347: $i > $o). 2.03/0.90 thf(func_def_629, type, sK348: $i > $i). 2.03/0.90 thf(func_def_635, type, sK354: $i > $i > $o). 2.03/0.90 thf(func_def_636, type, sK355: $i > ($i > $o) > $i). 2.03/0.90 thf(func_def_637, type, sK356: $i > $o). 2.03/0.90 thf(func_def_639, type, sK358: $i > $o). 2.03/0.90 thf(func_def_642, type, sK361: $i > $o). 2.03/0.90 thf(func_def_654, type, sK373: $i > $i > ($i > $i) > $i). 2.03/0.90 thf(func_def_655, type, sK374: $i > $i). 2.03/0.90 thf(func_def_663, type, sK382: $i > $i). 2.03/0.90 thf(func_def_690, type, sK409: $i > $i > $o). 2.03/0.90 thf(func_def_698, type, sK417: $i > $o). 2.03/0.90 thf(func_def_710, type, sK429: $i > $i > $i). 2.03/0.90 thf(func_def_715, type, sK434: $i > $o). 2.03/0.90 thf(func_def_718, type, sK437: $o > $i > $i > $i). 2.03/0.90 thf(func_def_722, type, sK441: $i > ($i > $o) > $i). 2.03/0.90 thf(func_def_723, type, sK442: $i > $o). 2.03/0.90 thf(func_def_725, type, sK444: $i > ($i > $o) > $i). 2.03/0.90 thf(func_def_726, type, sK445: $i > $o). 2.03/0.90 thf(func_def_748, type, sK467: $i > $i). 2.03/0.90 thf(func_def_762, type, sK481: $i > $i). 2.03/0.90 thf(func_def_767, type, sK486: $i > $i). 2.03/0.90 thf(func_def_770, type, sK489: $i > $i > $i). 2.03/0.90 thf(func_def_779, type, sK498: $i > $i > $i). 2.03/0.90 thf(func_def_780, type, sK499: $i > ($i > $o) > $i). 2.03/0.90 thf(func_def_781, type, sK500: $i > $o). 2.03/0.90 thf(func_def_797, type, sK516: $i > $i > $i > $i > $i). 2.03/0.90 thf(func_def_798, type, sK517: $i > $i > $i > $i > $i). 2.03/0.90 thf(func_def_799, type, sK518: $i > $i > $o). 2.03/0.90 thf(func_def_812, type, sK531: $i > $i > $i). 2.03/0.90 thf(func_def_826, type, sK545: $i > $o). 2.03/0.90 thf(func_def_827, type, sK546: ($i > $o) > $i). 2.03/0.90 thf(func_def_828, type, sK547: ($i > $i) > $i > $i > $i). 2.03/0.90 thf(func_def_831, type, sK550: $i > $i). 2.03/0.90 thf(func_def_839, type, sK558: $i > $o). 2.03/0.90 thf(func_def_842, type, sK561: $i > ($i > $o) > $i). 2.03/0.90 thf(func_def_848, type, sK567: $i > $i > $i). 2.03/0.90 thf(func_def_861, type, sK580: $i > $i > $o). 2.03/0.90 thf(func_def_868, type, sK587: ($i > $o) > $i > $i). 2.03/0.90 thf(func_def_870, type, sK589: $i > $o). 2.03/0.90 thf(func_def_881, type, sK600: ($i > $o) > ($i > $o) > $i). 2.03/0.90 thf(func_def_882, type, sK601: ($i > $o) > ($i > $o) > $i). 2.03/0.90 thf(func_def_883, type, sK602: $i > $o). 2.03/0.90 thf(func_def_884, type, sK603: $i > $o). 2.03/0.90 thf(func_def_911, type, sK630: $i > $i > $i). 2.03/0.90 thf(func_def_912, type, sK631: $i > $i > $i). 2.03/0.90 thf(func_def_913, type, sK632: $i > $i > $i). 2.03/0.90 thf(func_def_914, type, sK633: $i > $i > $i). 2.03/0.90 thf(func_def_915, type, sK634: $i > $i > $i). 2.03/0.90 thf(func_def_916, type, sK635: $i > $i > $i > $i). 2.03/0.90 thf(func_def_917, type, sK636: $i > $i). 2.03/0.90 thf(func_def_918, type, sK637: $i > $i). 2.03/0.90 thf(func_def_919, type, sK638: $i > $i). 2.03/0.90 thf(func_def_920, type, sK639: $i > $i). 2.03/0.90 thf(func_def_921, type, sK640: $i > $i > $i). 2.03/0.90 thf(func_def_922, type, sK641: $i > $i > $i > $i). 2.03/0.90 thf(func_def_923, type, sK642: $i > $i > $i > $i). 2.03/0.90 thf(func_def_924, type, sK643: $i > $i > $i). 2.03/0.90 thf(func_def_925, type, sK644: $i > $i > $i). 2.03/0.90 thf(func_def_927, type, sK646: $i > $i). 2.03/0.90 thf(func_def_928, type, sK647: $i > $i). 2.03/0.90 thf(func_def_929, type, sK648: $i > $i). 2.03/0.90 thf(func_def_937, type, sK656: $i > $o). 2.03/0.90 thf(func_def_938, type, sK657: $i > $i > ($i > $o) > $i). 2.03/0.90 thf(func_def_939, type, sK658: $i > $o). 2.03/0.90 thf(func_def_956, type, sK675: $i > $o). 2.03/0.90 thf(func_def_958, type, sK677: ($i > $o) > $i > $i). 2.03/0.90 thf(func_def_959, type, sK678: ($i > $o) > $i > $i). 2.03/0.90 thf(func_def_969, type, sK688: $i > $i). 2.03/0.90 thf(func_def_970, type, sK689: ($i > $i) > $i > $i > $i). 2.03/0.90 thf(func_def_981, type, sK700: $i > $i > $i > $i > $i). 2.03/0.90 thf(func_def_982, type, sK701: $i > $i > $i > $i > $i). 2.03/0.90 thf(func_def_983, type, sK702: $i > $i > $i > $i > $i). 2.03/0.90 thf(func_def_984, type, sK703: $i > $i > $i > $i > $i). 2.03/0.90 thf(func_def_985, type, sK704: ($i > $o) > $i > $i). 2.03/0.90 thf(func_def_987, type, sK706: $i > $o). 2.03/0.90 thf(func_def_1003, type, ph722: !>[X0: $tType]:(X0)). 2.03/0.90 thf(f6934,plain,( 2.03/0.90 $false), 2.03/0.90 inference(avatar_sat_refutation,[],[f6868,f6929])). 2.03/0.90 thf(f6929,plain,( 2.03/0.90 spl721_86), 2.03/0.90 inference(avatar_split_clause,[],[f6928,f5495])). 2.03/0.90 thf(f5495,plain,( 2.03/0.90 spl721_86 <=> ((subset @ sK333 @ sK334) = $true)), 2.03/0.90 introduced(avatar_definition,[new_symbols(naming,[spl721_86])])). 2.03/0.90 thf(f6928,plain,( 2.03/0.90 ((subset @ sK333 @ sK334) = $true)), 2.03/0.90 inference(trivial_inequality_removal,[],[f6927])). 2.03/0.90 thf(f6927,plain,( 2.03/0.90 ($true != $true) | ((subset @ sK333 @ sK334) = $true)), 2.03/0.90 inference(forward_demodulation,[],[f6922,f2550])). 2.03/0.90 thf(f2550,plain,( 2.03/0.90 (subsetI2 = $true)), 2.03/0.90 inference(cnf_transformation,[],[f1487])). 2.03/0.90 thf(f1487,plain,( 2.03/0.90 (emptyset__Cong = $true) & (exuI1 = $true) & (iftrueorfalse = $true) & (lamProp = $true) & (exuI2 = $true) & (setukpairinjR = $true) & (setadjoinE = $true) & (symdiffI2 = $true) & (emptysetAx = $true) & (funcext = $true) & (setunionE = $true) & (ex1E1 = $true) & (quantDeMorgan3 = $true) & (eta1 = $true) & (binintersectSubset3 = $true) & (kpairiskpair = $true) & (iftrue = $true) & (singletonprop = $true) & (dpsetconstrERa = $true) & (notsubsetI = $true) & (setminusLsub = $true) & (ifSingleton = $true) & (cartprodpairsurjEq = $true) & (wellorderingAx = $true) & (eta2 = $true) & (emptyinPowerset = $true) & (setunion__Cong = $true) & (binintersectT_lem = $true) & (subset2powerset = $true) & (subsetE2 = $true) & (setukpairinjR2 = $true) & (cartprodsndpairEq = $true) & (lam2p = $true) & (setminusI = $true) & (symdiffE = $true) & (setadjoinAx = $true) & (nonemptyImpWitness = $true) & (kfstsingleton = $true) & (upairsetIL = $true) & (apProp = $true) & (setunionI = $true) & (kpairsurjEq = $true) & (cartprodfstin = $true) & (subsetemptysetimpeq = $true) & (setukpairIR = $true) & (emptysetsubset = $true) & (descrp = $true) & (funcGraphProp1 = $true) & (powersetsubset = $true) & (emptyinunitempty = $true) & (binunionEcases = $true) & (binintersectSubset2 = $true) & (notdallE = $true) & (nonemptyE1 = $true) & (funcext2 = $true) & (notinemptyset = $true) & (setminusER = $true) & (prop2setE = $true) & (setukpairinjL1 = $true) & (setminusSubset1 = $true) & (subsetE = $true) & (vacuousDall = $true) & (uniqinunit = $true) & (upairsetE = $true) & (powerset__Cong = $true) & (iffalseProp1 = $true) & (notequalI1 = $true) & (setadjoinIR = $true) & (setadjoinSub = $true) & (cartprodmempaircEq = $true) & (nonemptyI1 = $true) & (exuE3u = $true) & (infuncsetfunc = $true) & (binunionLsub = $true) & (omegaSAx = $true) & (setminusEL = $true) & (exuEu = $true) & (dsetconstrER = $true) & (setukpairinjR11 = $true) & (ksndpairEq = $true) & (cartprodpairmemEL = $true) & (bs114d = $true) & (binunionIL = $true) & (exuE3e = $true) & (setextAx = $true) & (ap2apEq2 = $true) & (subbreln = $true) & (theeq = $true) & (upairsetIR = $true) & (kfstpairEq = $true) & (dpsetconstrI = $true) & (emptyI = $true) & (secondinupair = $true) & (brelnall2 = $true) & (dpsetconstrSub = $true) & (binintersectSubset1 = $true) & (setukpairinjL = $true) & (dsetconstr__Cong = $true) & (subPowSU = $true) & (setunionE2 = $true) & (sepSubset = $true) & (setminusSubset2 = $true) & (cartprodpairin = $true) & (binintersectSubset4 = $true) & (in__Cong = $true) & (quantDeMorgan1 = $true) & (theprop = $true) & (singletoninpowerset = $true) & (symdiffIneg2 = $true) & (subsetTrans = $true) & (binintersectRsub = $true) & (ubforcartprodlem3 = $true) & ((((in @ (setminus @ sK333 @ sK335) @ (powerset @ sK334)) != $true) & ((in @ sK335 @ (powerset @ sK334)) = $true)) & ($true = (in @ sK333 @ (powerset @ sK334)))) & (funcextLem = $true) & (notequalI2 = $true) & (eqbreln = $true) & (cartprodsndin = $true) & (iffalse = $true) & (exu__Cong = $true) & (ubforcartprodlem2 = $true) & (exuE1 = $true) & (omegaIndAx = $true) & (singletoninpowunion = $true) & (iftrueProp1 = $true) & (noeltsimpempty = $true) & (powersetI = $true) & (singletonsuniq = $true) & (setminusELneg = $true) & (notdexE = $true) & (setoftrueEq = $true) & (upairinpowunion = $true) & (cartprodfstpairEq = $true) & (upairsubunion = $true) & (quantDeMorgan4 = $true) & (funcImageSingleton = $true) & (singletonsubset = $true) & (ex1I = $true) & (binunionT_lem = $true) & (app = $true) & (kpairp = $true) & (beta1 = $true) & (upairset2IR = $true) & (setminusERneg = $true) & (eqimpsubset2 = $true) & (ex1E2 = $true) & (funcGraphProp3 = $true) & (dpsetconstrER = $true) & (setminusILneg = $true) & (powersetAx = $true) & (powersetI1 = $true) & (binunionRsub = $true) & (lam2lamEq = $true) & (ubforcartprodlem1 = $true) & (ap2apEq1 = $true) & (binintersectSubset5 = $true) & (setukpairinjL2 = $true) & (dsetconstrI = $true) & (cartprodmempair1 = $true) & (emptysetimpfalse = $true) & (setOfPairsIsBReln = $true) & (inPowerset = $true) & (ap2p = $true) & (sepInPowerset = $true) & (funcGraphProp4 = $true) & (dsetconstrEL = $true) & (dpsetconstrEL2 = $true) & (emptysetE = $true) & (quantDeMorgan2 = $true) & (omega0Ax = $true) & (binintersectLsub = $true) & (cartprodpairmemER = $true) & (cartprodmempair = $true) & (setadjoinSub2 = $true) & (powersetE1 = $true) & (setadjoinOr = $true) & (setunionsingleton = $true) & (setext = $true) & (emptyInPowerset = $true) & (setunionsingleton1 = $true) & (replAx = $true) & (eqinunit = $true) & (descr__Cong = $true) & (foundationAx = $true) & (exuI3 = $true) & (setextsub = $true) & (funcGraphProp2 = $true) & (omega__Cong = $true) & (nonemptyI = $true) & (ifp = $true) & (binunionIR = $true) & (setukpairIL = $true) & (setukpairinjR1 = $true) & (setunionAx = $true) & (subsetI2 = $true) & (subsetRefl = $true) & (brelnall1 = $true) & (symdiffIneg1 = $true) & (setbeta = $true) & (prop2set2propI = $true) & (setukpairinjR12 = $true) & (powersetT_lem = $true) & (binintersectI = $true) & (upairequniteq = $true) & (powersetE = $true) & (iffalseProp2 = $true) & (setadjoin__Cong = $true) & (lamp = $true) & (funcinfuncset = $true) & (symdiffI1 = $true) & (setminusIRneg = $true) & (inCongP = $true) & (beta2 = $true) & (ksndsingleton = $true) & (iftrueProp2 = $true) & (subsetI1 = $true) & (emptyE1 = $true) & (eqimpsubset1 = $true) & (binintersectER = $true) & (exuE2 = $true) & (singletonsswitch = $true) & (setadjoinIL = $true) & (binintersectEL = $true) & (notinsingleton = $true) & (binunionE = $true) & (setunionsingleton2 = $true) & (dpsetconstrEL1 = $true) & (prop2setI = $true) & (disjointsetsI1 = $true) & (ex1I2 = $true) & (upairset2E = $true)), 2.03/0.90 inference(skolemisation,[status(esa),new_symbols(skolem,[sK333,sK334,sK335])],[f972,f1486,f1485])). 2.03/0.90 thf(f1485,plain,( 2.03/0.90 ? [X0,X1] : (? [X2] : (($true != (in @ (setminus @ X0 @ X2) @ (powerset @ X1))) & ($true = (in @ X2 @ (powerset @ X1)))) & ($true = (in @ X0 @ (powerset @ X1)))) => (? [X2] : (((in @ (setminus @ sK333 @ X2) @ (powerset @ sK334)) != $true) & ($true = (in @ X2 @ (powerset @ sK334)))) & ($true = (in @ sK333 @ (powerset @ sK334))))), 2.03/0.90 introduced(choice_axiom,[])). 2.03/0.90 thf(f1486,plain,( 2.03/0.90 ? [X2] : (((in @ (setminus @ sK333 @ X2) @ (powerset @ sK334)) != $true) & ($true = (in @ X2 @ (powerset @ sK334)))) => (((in @ (setminus @ sK333 @ sK335) @ (powerset @ sK334)) != $true) & ((in @ sK335 @ (powerset @ sK334)) = $true))), 2.03/0.90 introduced(choice_axiom,[])). 2.03/0.90 thf(f972,plain,( 2.03/0.90 (emptyset__Cong = $true) & (exuI1 = $true) & (iftrueorfalse = $true) & (lamProp = $true) & (exuI2 = $true) & (setukpairinjR = $true) & (setadjoinE = $true) & (symdiffI2 = $true) & (emptysetAx = $true) & (funcext = $true) & (setunionE = $true) & (ex1E1 = $true) & (quantDeMorgan3 = $true) & (eta1 = $true) & (binintersectSubset3 = $true) & (kpairiskpair = $true) & (iftrue = $true) & (singletonprop = $true) & (dpsetconstrERa = $true) & (notsubsetI = $true) & (setminusLsub = $true) & (ifSingleton = $true) & (cartprodpairsurjEq = $true) & (wellorderingAx = $true) & (eta2 = $true) & (emptyinPowerset = $true) & (setunion__Cong = $true) & (binintersectT_lem = $true) & (subset2powerset = $true) & (subsetE2 = $true) & (setukpairinjR2 = $true) & (cartprodsndpairEq = $true) & (lam2p = $true) & (setminusI = $true) & (symdiffE = $true) & (setadjoinAx = $true) & (nonemptyImpWitness = $true) & (kfstsingleton = $true) & (upairsetIL = $true) & (apProp = $true) & (setunionI = $true) & (kpairsurjEq = $true) & (cartprodfstin = $true) & (subsetemptysetimpeq = $true) & (setukpairIR = $true) & (emptysetsubset = $true) & (descrp = $true) & (funcGraphProp1 = $true) & (powersetsubset = $true) & (emptyinunitempty = $true) & (binunionEcases = $true) & (binintersectSubset2 = $true) & (notdallE = $true) & (nonemptyE1 = $true) & (funcext2 = $true) & (notinemptyset = $true) & (setminusER = $true) & (prop2setE = $true) & (setukpairinjL1 = $true) & (setminusSubset1 = $true) & (subsetE = $true) & (vacuousDall = $true) & (uniqinunit = $true) & (upairsetE = $true) & (powerset__Cong = $true) & (iffalseProp1 = $true) & (notequalI1 = $true) & (setadjoinIR = $true) & (setadjoinSub = $true) & (cartprodmempaircEq = $true) & (nonemptyI1 = $true) & (exuE3u = $true) & (infuncsetfunc = $true) & (binunionLsub = $true) & (omegaSAx = $true) & (setminusEL = $true) & (exuEu = $true) & (dsetconstrER = $true) & (setukpairinjR11 = $true) & (ksndpairEq = $true) & (cartprodpairmemEL = $true) & (bs114d = $true) & (binunionIL = $true) & (exuE3e = $true) & (setextAx = $true) & (ap2apEq2 = $true) & (subbreln = $true) & (theeq = $true) & (upairsetIR = $true) & (kfstpairEq = $true) & (dpsetconstrI = $true) & (emptyI = $true) & (secondinupair = $true) & (brelnall2 = $true) & (dpsetconstrSub = $true) & (binintersectSubset1 = $true) & (setukpairinjL = $true) & (dsetconstr__Cong = $true) & (subPowSU = $true) & (setunionE2 = $true) & (sepSubset = $true) & (setminusSubset2 = $true) & (cartprodpairin = $true) & (binintersectSubset4 = $true) & (in__Cong = $true) & (quantDeMorgan1 = $true) & (theprop = $true) & (singletoninpowerset = $true) & (symdiffIneg2 = $true) & (subsetTrans = $true) & (binintersectRsub = $true) & (ubforcartprodlem3 = $true) & ? [X0,X1] : (? [X2] : (($true != (in @ (setminus @ X0 @ X2) @ (powerset @ X1))) & ($true = (in @ X2 @ (powerset @ X1)))) & ($true = (in @ X0 @ (powerset @ X1)))) & (funcextLem = $true) & (notequalI2 = $true) & (eqbreln = $true) & (cartprodsndin = $true) & (iffalse = $true) & (exu__Cong = $true) & (ubforcartprodlem2 = $true) & (exuE1 = $true) & (omegaIndAx = $true) & (singletoninpowunion = $true) & (iftrueProp1 = $true) & (noeltsimpempty = $true) & (powersetI = $true) & (singletonsuniq = $true) & (setminusELneg = $true) & (notdexE = $true) & (setoftrueEq = $true) & (upairinpowunion = $true) & (cartprodfstpairEq = $true) & (upairsubunion = $true) & (quantDeMorgan4 = $true) & (funcImageSingleton = $true) & (singletonsubset = $true) & (ex1I = $true) & (binunionT_lem = $true) & (app = $true) & (kpairp = $true) & (beta1 = $true) & (upairset2IR = $true) & (setminusERneg = $true) & (eqimpsubset2 = $true) & (ex1E2 = $true) & (funcGraphProp3 = $true) & (dpsetconstrER = $true) & (setminusILneg = $true) & (powersetAx = $true) & (powersetI1 = $true) & (binunionRsub = $true) & (lam2lamEq = $true) & (ubforcartprodlem1 = $true) & (ap2apEq1 = $true) & (binintersectSubset5 = $true) & (setukpairinjL2 = $true) & (dsetconstrI = $true) & (cartprodmempair1 = $true) & (emptysetimpfalse = $true) & (setOfPairsIsBReln = $true) & (inPowerset = $true) & (ap2p = $true) & (sepInPowerset = $true) & (funcGraphProp4 = $true) & (dsetconstrEL = $true) & (dpsetconstrEL2 = $true) & (emptysetE = $true) & (quantDeMorgan2 = $true) & (omega0Ax = $true) & (binintersectLsub = $true) & (cartprodpairmemER = $true) & (cartprodmempair = $true) & (setadjoinSub2 = $true) & (powersetE1 = $true) & (setadjoinOr = $true) & (setunionsingleton = $true) & (setext = $true) & (emptyInPowerset = $true) & (setunionsingleton1 = $true) & (replAx = $true) & (eqinunit = $true) & (descr__Cong = $true) & (foundationAx = $true) & (exuI3 = $true) & (setextsub = $true) & (funcGraphProp2 = $true) & (omega__Cong = $true) & (nonemptyI = $true) & (ifp = $true) & (binunionIR = $true) & (setukpairIL = $true) & (setukpairinjR1 = $true) & (setunionAx = $true) & (subsetI2 = $true) & (subsetRefl = $true) & (brelnall1 = $true) & (symdiffIneg1 = $true) & (setbeta = $true) & (prop2set2propI = $true) & (setukpairinjR12 = $true) & (powersetT_lem = $true) & (binintersectI = $true) & (upairequniteq = $true) & (powersetE = $true) & (iffalseProp2 = $true) & (setadjoin__Cong = $true) & (lamp = $true) & (funcinfuncset = $true) & (symdiffI1 = $true) & (setminusIRneg = $true) & (inCongP = $true) & (beta2 = $true) & (ksndsingleton = $true) & (iftrueProp2 = $true) & (subsetI1 = $true) & (emptyE1 = $true) & (eqimpsubset1 = $true) & (binintersectER = $true) & (exuE2 = $true) & (singletonsswitch = $true) & (setadjoinIL = $true) & (binintersectEL = $true) & (notinsingleton = $true) & (binunionE = $true) & (setunionsingleton2 = $true) & (dpsetconstrEL1 = $true) & (prop2setI = $true) & (disjointsetsI1 = $true) & (ex1I2 = $true) & (upairset2E = $true)), 2.03/0.90 inference(flattening,[],[f971])). 2.03/0.90 thf(f971,plain,( 2.03/0.90 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : (($true != (in @ (setminus @ X0 @ X2) @ (powerset @ X1))) & ($true = (in @ X2 @ (powerset @ X1)))) & ($true = (in @ X0 @ (powerset @ X1)))) & (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)), 2.03/0.90 inference(ennf_transformation,[],[f304])). 2.03/0.90 thf(f304,plain,( 2.03/0.90 ~((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 = $true) => ! [X0,X1] : (($true = (in @ X0 @ (powerset @ X1))) => ! [X2] : (($true = (in @ X2 @ (powerset @ X1))) => ($true = (in @ (setminus @ X0 @ X2) @ (powerset @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.03/0.90 inference(fool_elimination,[],[f303])). 2.03/0.90 thf(f303,plain,( 2.03/0.90 ~(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 => ! [X0,X1] : ((in @ X0 @ (powerset @ X1)) => ! [X2] : ((in @ X2 @ (powerset @ X1)) => (in @ (setminus @ X0 @ X2) @ (powerset @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.03/0.90 inference(rectify,[],[f235])). 2.03/0.90 thf(f235,negated_conjecture,( 2.03/0.90 ~(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 => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => (in @ (setminus @ X11 @ X16) @ (powerset @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.03/0.90 inference(negated_conjecture,[],[f234])). 2.03/0.90 thf(f234,conjecture,( 2.03/0.90 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 => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => (in @ (setminus @ X11 @ X16) @ (powerset @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.03/0.90 file('/export/starexec/sandbox/tmp/tmp.ISBLsbkwyX/E---3.1_21127.p',setminusT_lem)). 2.03/0.90 thf(f6922,plain,( 2.03/0.90 (subsetI2 != $true) | ((subset @ sK333 @ sK334) = $true)), 2.03/0.90 inference(trivial_inequality_removal,[],[f6921])). 2.03/0.90 thf(f6921,plain,( 2.03/0.90 ((subset @ sK333 @ sK334) = $true) | ($true != $true) | (subsetI2 != $true)), 2.03/0.90 inference(duplicate_literal_removal,[],[f6914])). 2.03/0.90 thf(f6914,plain,( 2.03/0.90 ((subset @ sK333 @ sK334) = $true) | (subsetI2 != $true) | ((subset @ sK333 @ sK334) = $true) | ($true != $true)), 2.03/0.90 inference(superposition,[],[f3696,f3044])). 2.03/0.90 thf(f3044,plain,( 2.03/0.90 ( ! [X0 : $i,X1 : $i] : (((in @ (sK567 @ X1 @ X0) @ X1) = $true) | ($true = (subset @ X1 @ X0)) | (subsetI2 != $true)) )), 2.03/0.90 inference(cnf_transformation,[],[f1852])). 2.03/0.90 thf(f1852,plain,( 2.03/0.90 (! [X0,X1] : (($true = (subset @ X1 @ X0)) | (((in @ (sK567 @ X1 @ X0) @ X1) = $true) & ($true != (in @ (sK567 @ X1 @ X0) @ X0)))) | (subsetI2 != $true)) & ((subsetI2 = $true) | (((subset @ sK569 @ sK568) != $true) & ! [X5] : (((in @ X5 @ sK569) != $true) | ($true = (in @ X5 @ sK568)))))), 2.03/0.90 inference(skolemisation,[status(esa),new_symbols(skolem,[sK567,sK568,sK569])],[f1849,f1851,f1850])). 2.03/0.90 thf(f1850,plain,( 2.03/0.90 ! [X0,X1] : (? [X2] : (($true = (in @ X2 @ X1)) & ($true != (in @ X2 @ X0))) => (((in @ (sK567 @ X1 @ X0) @ X1) = $true) & ($true != (in @ (sK567 @ X1 @ X0) @ X0))))), 2.03/0.90 introduced(choice_axiom,[])). 2.03/0.90 thf(f1851,plain,( 2.03/0.90 ? [X3,X4] : (((subset @ X4 @ X3) != $true) & ! [X5] : (((in @ X5 @ X4) != $true) | ($true = (in @ X5 @ X3)))) => (((subset @ sK569 @ sK568) != $true) & ! [X5] : (((in @ X5 @ sK569) != $true) | ($true = (in @ X5 @ sK568))))), 2.03/0.90 introduced(choice_axiom,[])). 2.03/0.90 thf(f1849,plain,( 2.03/0.90 (! [X0,X1] : (($true = (subset @ X1 @ X0)) | ? [X2] : (($true = (in @ X2 @ X1)) & ($true != (in @ X2 @ X0)))) | (subsetI2 != $true)) & ((subsetI2 = $true) | ? [X3,X4] : (((subset @ X4 @ X3) != $true) & ! [X5] : (((in @ X5 @ X4) != $true) | ($true = (in @ X5 @ X3)))))), 2.03/0.90 inference(rectify,[],[f1848])). 2.03/0.90 thf(f1848,plain,( 2.03/0.90 (! [X0,X1] : (($true = (subset @ X1 @ X0)) | ? [X2] : (($true = (in @ X2 @ X1)) & ($true != (in @ X2 @ X0)))) | (subsetI2 != $true)) & ((subsetI2 = $true) | ? [X0,X1] : (($true != (subset @ X1 @ X0)) & ! [X2] : (($true != (in @ X2 @ X1)) | ($true = (in @ X2 @ X0)))))), 2.03/0.90 inference(nnf_transformation,[],[f810])). 2.03/0.90 thf(f810,plain,( 2.03/0.90 ! [X0,X1] : (($true = (subset @ X1 @ X0)) | ? [X2] : (($true = (in @ X2 @ X1)) & ($true != (in @ X2 @ X0)))) <=> (subsetI2 = $true)), 2.03/0.90 inference(ennf_transformation,[],[f442])). 2.03/0.90 thf(f442,plain,( 2.03/0.90 ! [X0,X1] : (! [X2] : (($true = (in @ X2 @ X1)) => ($true = (in @ X2 @ X0))) => ($true = (subset @ X1 @ X0))) <=> (subsetI2 = $true)), 2.03/0.90 inference(fool_elimination,[],[f441])). 2.03/0.90 thf(f441,plain,( 2.03/0.90 (subsetI2 = ! [X0,X1] : (! [X2] : ((in @ X2 @ X1) => (in @ X2 @ X0)) => (subset @ X1 @ X0)))), 2.03/0.90 inference(rectify,[],[f81])). 2.03/0.90 thf(f81,axiom,( 2.03/0.90 (subsetI2 = ! [X4,X3] : (! [X1] : ((in @ X1 @ X3) => (in @ X1 @ X4)) => (subset @ X3 @ X4)))), 2.03/0.90 file('/export/starexec/sandbox/tmp/tmp.ISBLsbkwyX/E---3.1_21127.p',subsetI2)). 2.03/0.90 thf(f3696,plain,( 2.03/0.90 ( ! [X0 : $i] : (($true != (in @ (sK567 @ X0 @ sK334) @ sK333)) | ((subset @ X0 @ sK334) = $true)) )), 2.03/0.90 inference(trivial_inequality_removal,[],[f3695])). 2.03/0.90 thf(f3695,plain,( 2.03/0.90 ( ! [X0 : $i] : (($true != (in @ (sK567 @ X0 @ sK334) @ sK333)) | ((subset @ X0 @ sK334) = $true) | ($true != $true)) )), 2.03/0.90 inference(forward_demodulation,[],[f3625,f2550])). 2.03/0.90 thf(f3625,plain,( 2.03/0.90 ( ! [X0 : $i] : ((subsetI2 != $true) | ((subset @ X0 @ sK334) = $true) | ($true != (in @ (sK567 @ X0 @ sK334) @ sK333))) )), 2.03/0.90 inference(trivial_inequality_removal,[],[f3606])). 2.03/0.90 thf(f3606,plain,( 2.03/0.90 ( ! [X0 : $i] : ((subsetI2 != $true) | ($true != $true) | ((subset @ X0 @ sK334) = $true) | ($true != (in @ (sK567 @ X0 @ sK334) @ sK333))) )), 2.03/0.90 inference(superposition,[],[f3043,f3449])). 2.03/0.90 thf(f3449,plain,( 2.03/0.90 ( ! [X0 : $i] : (((in @ X0 @ sK334) = $true) | ($true != (in @ X0 @ sK333))) )), 2.03/0.90 inference(trivial_inequality_removal,[],[f3448])). 2.03/0.90 thf(f3448,plain,( 2.03/0.90 ( ! [X0 : $i] : (($true != $true) | ((in @ X0 @ sK334) = $true) | ($true != (in @ X0 @ sK333))) )), 2.03/0.90 inference(forward_demodulation,[],[f3429,f2540])). 2.03/0.90 thf(f2540,plain,( 2.03/0.90 (powersetE = $true)), 2.03/0.90 inference(cnf_transformation,[],[f1487])). 2.03/0.90 thf(f3429,plain,( 2.03/0.90 ( ! [X0 : $i] : ((powersetE != $true) | ($true != (in @ X0 @ sK333)) | ((in @ X0 @ sK334) = $true)) )), 2.03/0.90 inference(trivial_inequality_removal,[],[f3425])). 2.03/0.90 thf(f3425,plain,( 2.03/0.90 ( ! [X0 : $i] : ((powersetE != $true) | ($true != (in @ X0 @ sK333)) | ((in @ X0 @ sK334) = $true) | ($true != $true)) )), 2.03/0.90 inference(superposition,[],[f2169,f2631])). 2.03/0.90 thf(f2631,plain,( 2.03/0.90 ($true = (in @ sK333 @ (powerset @ sK334)))), 2.03/0.90 inference(cnf_transformation,[],[f1487])). 2.03/0.90 thf(f2169,plain,( 2.03/0.90 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ X1 @ (powerset @ X2))) | ($true != (in @ X0 @ X1)) | (powersetE != $true) | ($true = (in @ X0 @ X2))) )), 2.03/0.90 inference(cnf_transformation,[],[f1094])). 2.03/0.90 thf(f1094,plain,( 2.03/0.90 (! [X0,X1,X2] : (($true != (in @ X0 @ X1)) | ($true = (in @ X0 @ X2)) | ($true != (in @ X1 @ (powerset @ X2)))) | (powersetE != $true)) & ((powersetE = $true) | (($true = (in @ sK68 @ sK69)) & ((in @ sK68 @ sK70) != $true) & ((in @ sK69 @ (powerset @ sK70)) = $true)))), 2.03/0.90 inference(skolemisation,[status(esa),new_symbols(skolem,[sK68,sK69,sK70])],[f1092,f1093])). 2.03/0.90 thf(f1093,plain,( 2.03/0.90 ? [X3,X4,X5] : (($true = (in @ X3 @ X4)) & ((in @ X3 @ X5) != $true) & ($true = (in @ X4 @ (powerset @ X5)))) => (($true = (in @ sK68 @ sK69)) & ((in @ sK68 @ sK70) != $true) & ((in @ sK69 @ (powerset @ sK70)) = $true))), 2.03/0.90 introduced(choice_axiom,[])). 2.03/0.90 thf(f1092,plain,( 2.03/0.90 (! [X0,X1,X2] : (($true != (in @ X0 @ X1)) | ($true = (in @ X0 @ X2)) | ($true != (in @ X1 @ (powerset @ X2)))) | (powersetE != $true)) & ((powersetE = $true) | ? [X3,X4,X5] : (($true = (in @ X3 @ X4)) & ((in @ X3 @ X5) != $true) & ($true = (in @ X4 @ (powerset @ X5)))))), 2.03/0.90 inference(rectify,[],[f1091])). 2.03/0.90 thf(f1091,plain,( 2.03/0.90 (! [X0,X1,X2] : (($true != (in @ X0 @ X1)) | ($true = (in @ X0 @ X2)) | ($true != (in @ X1 @ (powerset @ X2)))) | (powersetE != $true)) & ((powersetE = $true) | ? [X0,X1,X2] : (($true = (in @ X0 @ X1)) & ($true != (in @ X0 @ X2)) & ($true = (in @ X1 @ (powerset @ X2)))))), 2.03/0.90 inference(nnf_transformation,[],[f777])). 2.03/0.90 thf(f777,plain,( 2.03/0.90 ! [X0,X1,X2] : (($true != (in @ X0 @ X1)) | ($true = (in @ X0 @ X2)) | ($true != (in @ X1 @ (powerset @ X2)))) <=> (powersetE = $true)), 2.03/0.90 inference(flattening,[],[f776])). 2.03/0.90 thf(f776,plain,( 2.03/0.90 (powersetE = $true) <=> ! [X0,X1,X2] : ((($true = (in @ X0 @ X2)) | ($true != (in @ X0 @ X1))) | ($true != (in @ X1 @ (powerset @ X2))))), 2.03/0.90 inference(ennf_transformation,[],[f248])). 2.03/0.90 thf(f248,plain,( 2.03/0.90 (powersetE = $true) <=> ! [X0,X1,X2] : (($true = (in @ X1 @ (powerset @ X2))) => (($true = (in @ X0 @ X1)) => ($true = (in @ X0 @ X2))))), 2.03/0.90 inference(fool_elimination,[],[f247])). 2.03/0.90 thf(f247,plain,( 2.03/0.90 (! [X0,X1,X2] : ((in @ X1 @ (powerset @ X2)) => ((in @ X0 @ X1) => (in @ X0 @ X2))) = powersetE)), 2.03/0.90 inference(rectify,[],[f40])). 2.03/0.90 thf(f40,axiom,( 2.03/0.90 (! [X1,X4,X3] : ((in @ X4 @ (powerset @ X3)) => ((in @ X1 @ X4) => (in @ X1 @ X3))) = powersetE)), 2.03/0.90 file('/export/starexec/sandbox/tmp/tmp.ISBLsbkwyX/E---3.1_21127.p',powersetE)). 2.03/0.90 thf(f3043,plain,( 2.03/0.90 ( ! [X0 : $i,X1 : $i] : (($true != (in @ (sK567 @ X1 @ X0) @ X0)) | (subsetI2 != $true) | ($true = (subset @ X1 @ X0))) )), 2.03/0.90 inference(cnf_transformation,[],[f1852])). 2.03/0.90 thf(f6868,plain,( 2.03/0.90 ~spl721_86), 2.03/0.90 inference(avatar_split_clause,[],[f6867,f5495])). 2.03/0.90 thf(f6867,plain,( 2.03/0.90 ((subset @ sK333 @ sK334) != $true)), 2.03/0.90 inference(trivial_inequality_removal,[],[f6866])). 2.03/0.90 thf(f6866,plain,( 2.03/0.90 ((subset @ sK333 @ sK334) != $true) | ($true != $true)), 2.03/0.90 inference(forward_demodulation,[],[f6825,f2725])). 2.03/0.90 thf(f2725,plain,( 2.03/0.90 (setminusLsub = $true)), 2.03/0.90 inference(cnf_transformation,[],[f1487])). 2.03/0.90 thf(f6825,plain,( 2.03/0.90 (setminusLsub != $true) | ((subset @ sK333 @ sK334) != $true)), 2.03/0.90 inference(trivial_inequality_removal,[],[f6778])). 2.03/0.90 thf(f6778,plain,( 2.03/0.90 ((subset @ sK333 @ sK334) != $true) | (setminusLsub != $true) | ($true != $true)), 2.03/0.90 inference(superposition,[],[f3591,f2796])). 2.03/0.90 thf(f2796,plain,( 2.03/0.90 ( ! [X0 : $i,X1 : $i] : (($true = (subset @ (setminus @ X1 @ X0) @ X1)) | (setminusLsub != $true)) )), 2.03/0.90 inference(cnf_transformation,[],[f1554])). 2.03/0.90 thf(f1554,plain,( 2.03/0.90 (! [X0,X1] : ($true = (subset @ (setminus @ X1 @ X0) @ X1)) | (setminusLsub != $true)) & ((setminusLsub = $true) | ($true != (subset @ (setminus @ sK370 @ sK369) @ sK370)))), 2.03/0.90 inference(skolemisation,[status(esa),new_symbols(skolem,[sK369,sK370])],[f1552,f1553])). 2.03/0.90 thf(f1553,plain,( 2.03/0.90 ? [X2,X3] : ((subset @ (setminus @ X3 @ X2) @ X3) != $true) => ($true != (subset @ (setminus @ sK370 @ sK369) @ sK370))), 2.03/0.90 introduced(choice_axiom,[])). 2.03/0.90 thf(f1552,plain,( 2.03/0.90 (! [X0,X1] : ($true = (subset @ (setminus @ X1 @ X0) @ X1)) | (setminusLsub != $true)) & ((setminusLsub = $true) | ? [X2,X3] : ((subset @ (setminus @ X3 @ X2) @ X3) != $true))), 2.03/0.90 inference(rectify,[],[f1551])). 2.03/0.90 thf(f1551,plain,( 2.03/0.90 (! [X0,X1] : ($true = (subset @ (setminus @ X1 @ X0) @ X1)) | (setminusLsub != $true)) & ((setminusLsub = $true) | ? [X0,X1] : ($true != (subset @ (setminus @ X1 @ X0) @ X1)))), 2.03/0.90 inference(nnf_transformation,[],[f244])). 2.03/0.90 thf(f244,plain,( 2.03/0.90 ! [X0,X1] : ($true = (subset @ (setminus @ X1 @ X0) @ X1)) <=> (setminusLsub = $true)), 2.03/0.90 inference(fool_elimination,[],[f243])). 2.03/0.90 thf(f243,plain,( 2.03/0.90 (! [X0,X1] : (subset @ (setminus @ X1 @ X0) @ X1) = setminusLsub)), 2.03/0.90 inference(rectify,[],[f128])). 2.03/0.90 thf(f128,axiom,( 2.03/0.90 (! [X4,X3] : (subset @ (setminus @ X3 @ X4) @ X3) = setminusLsub)), 2.03/0.90 file('/export/starexec/sandbox/tmp/tmp.ISBLsbkwyX/E---3.1_21127.p',setminusLsub)). 2.03/0.90 thf(f3591,plain,( 2.03/0.90 ( ! [X0 : $i] : (($true != (subset @ (setminus @ sK333 @ sK335) @ X0)) | ((subset @ X0 @ sK334) != $true)) )), 2.03/0.90 inference(trivial_inequality_removal,[],[f3590])). 2.03/0.90 thf(f3590,plain,( 2.03/0.90 ( ! [X0 : $i] : (($true != $true) | ($true != (subset @ (setminus @ sK333 @ sK335) @ X0)) | ((subset @ X0 @ sK334) != $true)) )), 2.03/0.90 inference(forward_demodulation,[],[f3583,f2636])). 2.03/0.90 thf(f2636,plain,( 2.03/0.90 (subsetTrans = $true)), 2.03/0.90 inference(cnf_transformation,[],[f1487])). 2.03/0.90 thf(f3583,plain,( 2.03/0.90 ( ! [X0 : $i] : (((subset @ X0 @ sK334) != $true) | ($true != (subset @ (setminus @ sK333 @ sK335) @ X0)) | (subsetTrans != $true)) )), 2.03/0.90 inference(trivial_inequality_removal,[],[f3578])). 2.03/0.90 thf(f3578,plain,( 2.03/0.90 ( ! [X0 : $i] : (($true != (subset @ (setminus @ sK333 @ sK335) @ X0)) | ($true != $true) | (subsetTrans != $true) | ((subset @ X0 @ sK334) != $true)) )), 2.03/0.90 inference(superposition,[],[f3506,f2352])). 2.03/0.90 thf(f2352,plain,( 2.03/0.90 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((subset @ X0 @ X1) = $true) | ((subset @ X2 @ X1) != $true) | (subsetTrans != $true) | ($true != (subset @ X0 @ X2))) )), 2.03/0.90 inference(cnf_transformation,[],[f1304])). 2.03/0.90 thf(f1304,plain,( 2.03/0.90 (! [X0,X1,X2] : (($true != (subset @ X0 @ X2)) | ((subset @ X2 @ X1) != $true) | ((subset @ X0 @ X1) = $true)) | (subsetTrans != $true)) & ((subsetTrans = $true) | (($true = (subset @ sK214 @ sK216)) & ($true = (subset @ sK216 @ sK215)) & ($true != (subset @ sK214 @ sK215))))), 2.03/0.90 inference(skolemisation,[status(esa),new_symbols(skolem,[sK214,sK215,sK216])],[f1302,f1303])). 2.03/0.90 thf(f1303,plain,( 2.03/0.90 ? [X3,X4,X5] : (((subset @ X3 @ X5) = $true) & ((subset @ X5 @ X4) = $true) & ((subset @ X3 @ X4) != $true)) => (($true = (subset @ sK214 @ sK216)) & ($true = (subset @ sK216 @ sK215)) & ($true != (subset @ sK214 @ sK215)))), 2.03/0.90 introduced(choice_axiom,[])). 2.03/0.90 thf(f1302,plain,( 2.03/0.90 (! [X0,X1,X2] : (($true != (subset @ X0 @ X2)) | ((subset @ X2 @ X1) != $true) | ((subset @ X0 @ X1) = $true)) | (subsetTrans != $true)) & ((subsetTrans = $true) | ? [X3,X4,X5] : (((subset @ X3 @ X5) = $true) & ((subset @ X5 @ X4) = $true) & ((subset @ X3 @ X4) != $true)))), 2.03/0.90 inference(rectify,[],[f1301])). 2.03/0.90 thf(f1301,plain,( 2.03/0.90 (! [X0,X1,X2] : (($true != (subset @ X0 @ X2)) | ((subset @ X2 @ X1) != $true) | ((subset @ X0 @ X1) = $true)) | (subsetTrans != $true)) & ((subsetTrans = $true) | ? [X0,X1,X2] : (($true = (subset @ X0 @ X2)) & ((subset @ X2 @ X1) = $true) & ((subset @ X0 @ X1) != $true)))), 2.03/0.90 inference(nnf_transformation,[],[f918])). 2.03/0.90 thf(f918,plain,( 2.03/0.90 ! [X0,X1,X2] : (($true != (subset @ X0 @ X2)) | ((subset @ X2 @ X1) != $true) | ((subset @ X0 @ X1) = $true)) <=> (subsetTrans = $true)), 2.03/0.90 inference(flattening,[],[f917])). 2.03/0.90 thf(f917,plain,( 2.03/0.90 ! [X0,X1,X2] : ((((subset @ X0 @ X1) = $true) | ((subset @ X2 @ X1) != $true)) | ($true != (subset @ X0 @ X2))) <=> (subsetTrans = $true)), 2.03/0.90 inference(ennf_transformation,[],[f502])). 2.03/0.90 thf(f502,plain,( 2.03/0.90 ! [X0,X1,X2] : (($true = (subset @ X0 @ X2)) => (((subset @ X2 @ X1) = $true) => ((subset @ X0 @ X1) = $true))) <=> (subsetTrans = $true)), 2.03/0.90 inference(fool_elimination,[],[f501])). 2.03/0.90 thf(f501,plain,( 2.03/0.90 (subsetTrans = ! [X0,X1,X2] : ((subset @ X0 @ X2) => ((subset @ X2 @ X1) => (subset @ X0 @ X1))))), 2.03/0.90 inference(rectify,[],[f89])). 2.03/0.90 thf(f89,axiom,( 2.03/0.90 (subsetTrans = ! [X3,X5,X4] : ((subset @ X3 @ X4) => ((subset @ X4 @ X5) => (subset @ X3 @ X5))))), 2.03/0.90 file('/export/starexec/sandbox/tmp/tmp.ISBLsbkwyX/E---3.1_21127.p',subsetTrans)). 2.03/0.90 thf(f3506,plain,( 2.03/0.90 ($true != (subset @ (setminus @ sK333 @ sK335) @ sK334))), 2.03/0.90 inference(trivial_inequality_removal,[],[f3505])). 2.03/0.90 thf(f3505,plain,( 2.03/0.90 ($true != $true) | ($true != (subset @ (setminus @ sK333 @ sK335) @ sK334))), 2.03/0.90 inference(forward_demodulation,[],[f3487,f2717])). 2.03/0.90 thf(f2717,plain,( 2.03/0.90 (subset2powerset = $true)), 2.03/0.90 inference(cnf_transformation,[],[f1487])). 2.03/0.90 thf(f3487,plain,( 2.03/0.90 ($true != (subset @ (setminus @ sK333 @ sK335) @ sK334)) | (subset2powerset != $true)), 2.03/0.90 inference(trivial_inequality_removal,[],[f3478])). 2.03/0.90 thf(f3478,plain,( 2.03/0.90 ($true != (subset @ (setminus @ sK333 @ sK335) @ sK334)) | ($true != $true) | (subset2powerset != $true)), 2.03/0.90 inference(superposition,[],[f2633,f2207])). 2.03/0.90 thf(f2207,plain,( 2.03/0.90 ( ! [X2 : $i,X3 : $i] : (($true = (in @ X2 @ (powerset @ X3))) | (subset2powerset != $true) | ((subset @ X2 @ X3) != $true)) )), 2.03/0.90 inference(cnf_transformation,[],[f1147])). 2.03/0.90 thf(f1147,plain,( 2.03/0.90 ((subset2powerset = $true) | (($true = (subset @ sK106 @ sK107)) & ($true != (in @ sK106 @ (powerset @ sK107))))) & (! [X2,X3] : (((subset @ X2 @ X3) != $true) | ($true = (in @ X2 @ (powerset @ X3)))) | (subset2powerset != $true))), 2.03/0.90 inference(skolemisation,[status(esa),new_symbols(skolem,[sK106,sK107])],[f1145,f1146])). 2.03/0.90 thf(f1146,plain,( 2.03/0.90 ? [X0,X1] : (((subset @ X0 @ X1) = $true) & ($true != (in @ X0 @ (powerset @ X1)))) => (($true = (subset @ sK106 @ sK107)) & ($true != (in @ sK106 @ (powerset @ sK107))))), 2.03/0.90 introduced(choice_axiom,[])). 2.03/0.90 thf(f1145,plain,( 2.03/0.90 ((subset2powerset = $true) | ? [X0,X1] : (((subset @ X0 @ X1) = $true) & ($true != (in @ X0 @ (powerset @ X1))))) & (! [X2,X3] : (((subset @ X2 @ X3) != $true) | ($true = (in @ X2 @ (powerset @ X3)))) | (subset2powerset != $true))), 2.03/0.90 inference(rectify,[],[f1144])). 2.03/0.90 thf(f1144,plain,( 2.03/0.90 ((subset2powerset = $true) | ? [X0,X1] : (((subset @ X0 @ X1) = $true) & ($true != (in @ X0 @ (powerset @ X1))))) & (! [X0,X1] : (((subset @ X0 @ X1) != $true) | ($true = (in @ X0 @ (powerset @ X1)))) | (subset2powerset != $true))), 2.03/0.90 inference(nnf_transformation,[],[f977])). 2.03/0.90 thf(f977,plain,( 2.03/0.90 (subset2powerset = $true) <=> ! [X0,X1] : (((subset @ X0 @ X1) != $true) | ($true = (in @ X0 @ (powerset @ X1))))), 2.03/0.90 inference(ennf_transformation,[],[f294])). 2.03/0.90 thf(f294,plain,( 2.03/0.90 ! [X0,X1] : (((subset @ X0 @ X1) = $true) => ($true = (in @ X0 @ (powerset @ X1)))) <=> (subset2powerset = $true)), 2.03/0.90 inference(fool_elimination,[],[f293])). 2.03/0.90 thf(f293,plain,( 2.03/0.90 (! [X0,X1] : ((subset @ X0 @ X1) => (in @ X0 @ (powerset @ X1))) = subset2powerset)), 2.03/0.90 inference(rectify,[],[f92])). 2.03/0.90 thf(f92,axiom,( 2.03/0.90 (! [X3,X4] : ((subset @ X3 @ X4) => (in @ X3 @ (powerset @ X4))) = subset2powerset)), 2.03/0.90 file('/export/starexec/sandbox/tmp/tmp.ISBLsbkwyX/E---3.1_21127.p',subset2powerset)). 2.03/0.90 thf(f2633,plain,( 2.03/0.90 ((in @ (setminus @ sK333 @ sK335) @ (powerset @ sK334)) != $true)), 2.03/0.90 inference(cnf_transformation,[],[f1487])). 2.03/0.90 % SZS output end Proof for E---3.1_21127 2.03/0.90 % (21417)------------------------------ 2.03/0.90 % (21417)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.03/0.90 % (21417)Termination reason: Refutation 2.03/0.90 2.03/0.90 % (21417)Memory used [KB]: 10874 2.03/0.90 % (21417)Time elapsed: 0.316 s 2.03/0.90 % (21417)Instructions burned: 554 (million) 2.03/0.90 % (21417)------------------------------ 2.03/0.90 % (21417)------------------------------ 2.03/0.90 % (21366)Success in time 0.467 s 2.03/0.90 EOF