0.09/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.11 % Command : run_vampire %s %d THM 0.09/0.31 % Computer : n032.cluster.edu 0.09/0.31 % Model : x86_64 x86_64 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.31 % Memory : 8042.1875MB 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.31 % CPULimit : 1440 0.09/0.31 % WCLimit : 180 0.09/0.31 % DateTime : Thu Jul 4 08:13:38 EDT 2024 0.09/0.31 % CPUTime : 0.17/0.32 This is a THF_ problem 0.17/0.32 Running higher-order theorem proving 0.17/0.36 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.GNxb7XbES5/E---3.1_335.p -m 16384 -t 180 0.17/0.39 % (449)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_335 for (1799ds/27Mi) 0.17/0.39 % (453)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_335 for (1799ds/18Mi) 0.17/0.39 % (451)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_335 for (1799ds/2Mi) 0.17/0.39 % (451)Instruction limit reached! 0.17/0.39 % (451)------------------------------ 0.17/0.39 % (451)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.39 % (451)Termination reason: Unknown 0.17/0.39 % (451)Termination phase: shuffling 0.17/0.39 0.17/0.39 % (451)Memory used [KB]: 1407 0.17/0.39 % (451)Time elapsed: 0.003 s 0.17/0.39 % (451)Instructions burned: 3 (million) 0.17/0.39 % (451)------------------------------ 0.17/0.39 % (451)------------------------------ 0.17/0.39 % (452)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_335 for (1799ds/275Mi) 0.17/0.39 % (447)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_335 for (1799ds/183Mi) 0.17/0.39 % (450)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_335 for (1799ds/2Mi) 0.17/0.39 % (448)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_335 for (1799ds/4Mi) 0.17/0.39 % (450)Instruction limit reached! 0.17/0.39 % (450)------------------------------ 0.17/0.39 % (450)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.39 % (450)Termination reason: Unknown 0.17/0.39 % (450)Termination phase: shuffling 0.17/0.39 0.17/0.39 % (450)Memory used [KB]: 1407 0.17/0.39 % (450)Time elapsed: 0.003 s 0.17/0.39 % (450)Instructions burned: 2 (million) 0.17/0.39 % (450)------------------------------ 0.17/0.39 % (450)------------------------------ 0.17/0.39 % (448)Instruction limit reached! 0.17/0.39 % (448)------------------------------ 0.17/0.39 % (448)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.39 % (448)Termination reason: Unknown 0.17/0.39 % (448)Termination phase: shuffling 0.17/0.39 0.17/0.39 % (448)Memory used [KB]: 1535 0.17/0.39 % (448)Time elapsed: 0.004 s 0.17/0.39 % (448)Instructions burned: 4 (million) 0.17/0.39 % (448)------------------------------ 0.17/0.39 % (448)------------------------------ 0.17/0.39 % (453)Instruction limit reached! 0.17/0.39 % (453)------------------------------ 0.17/0.39 % (453)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.39 % (453)Termination reason: Unknown 0.17/0.39 % (453)Termination phase: shuffling 0.17/0.39 0.17/0.39 % (453)Memory used [KB]: 1918 0.17/0.39 % (453)Time elapsed: 0.009 s 0.17/0.39 % (453)Instructions burned: 20 (million) 0.17/0.39 % (453)------------------------------ 0.17/0.39 % (453)------------------------------ 0.17/0.40 % (449)Instruction limit reached! 0.17/0.40 % (449)------------------------------ 0.17/0.40 % (449)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.40 % (449)Termination reason: Unknown 0.17/0.40 % (449)Termination phase: shuffling 0.17/0.40 0.17/0.40 % (449)Memory used [KB]: 2046 0.17/0.40 % (449)Time elapsed: 0.010 s 0.17/0.40 % (449)Instructions burned: 28 (million) 0.17/0.40 % (449)------------------------------ 0.17/0.40 % (449)------------------------------ 0.17/0.40 % (454)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_335 for (1799ds/3Mi) 0.17/0.40 % (454)Instruction limit reached! 0.17/0.40 % (454)------------------------------ 0.17/0.40 % (454)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.40 % (454)Termination reason: Unknown 0.17/0.40 % (454)Termination phase: shuffling 0.17/0.40 0.17/0.40 % (454)Memory used [KB]: 1535 0.17/0.40 % (454)Time elapsed: 0.003 s 0.17/0.40 % (454)Instructions burned: 5 (million) 0.17/0.40 % (454)------------------------------ 0.17/0.40 % (454)------------------------------ 0.17/0.40 % (455)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_335 for (1799ds/37Mi) 0.17/0.40 % (457)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_335 for (1799ds/3Mi) 0.17/0.40 % (458)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_335 for (1799ds/1041Mi) 0.20/0.41 % (457)Instruction limit reached! 0.20/0.41 % (457)------------------------------ 0.20/0.41 % (457)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.41 % (457)Termination reason: Unknown 0.20/0.41 % (457)Termination phase: shuffling 0.20/0.41 0.20/0.41 % (457)Memory used [KB]: 1535 0.20/0.41 % (457)Time elapsed: 0.003 s 0.20/0.41 % (457)Instructions burned: 4 (million) 0.20/0.41 % (457)------------------------------ 0.20/0.41 % (457)------------------------------ 0.20/0.41 % (456)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_335 for (1799ds/15Mi) 0.20/0.41 % (459)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_335 for (1799ds/7Mi) 0.20/0.41 % (460)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_335 for (1799ds/16Mi) 0.20/0.41 % (459)Instruction limit reached! 0.20/0.41 % (459)------------------------------ 0.20/0.41 % (459)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.41 % (459)Termination reason: Unknown 0.20/0.41 % (459)Termination phase: shuffling 0.20/0.41 0.20/0.41 % (459)Memory used [KB]: 1535 0.20/0.41 % (459)Time elapsed: 0.004 s 0.20/0.41 % (459)Instructions burned: 7 (million) 0.20/0.41 % (459)------------------------------ 0.20/0.41 % (459)------------------------------ 0.20/0.42 % (455)Instruction limit reached! 0.20/0.42 % (455)------------------------------ 0.20/0.42 % (455)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.42 % (455)Termination reason: Unknown 0.20/0.42 % (455)Termination phase: shuffling 0.20/0.42 0.20/0.42 % (455)Memory used [KB]: 2302 0.20/0.42 % (455)Time elapsed: 0.013 s 0.20/0.42 % (455)Instructions burned: 38 (million) 0.20/0.42 % (455)------------------------------ 0.20/0.42 % (455)------------------------------ 0.20/0.42 % (456)Instruction limit reached! 0.20/0.42 % (456)------------------------------ 0.20/0.42 % (456)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.42 % (456)Termination reason: Unknown 0.20/0.42 % (456)Termination phase: shuffling 0.20/0.42 0.20/0.42 % (456)Memory used [KB]: 1791 0.20/0.42 % (456)Time elapsed: 0.010 s 0.20/0.42 % (456)Instructions burned: 16 (million) 0.20/0.42 % (456)------------------------------ 0.20/0.42 % (456)------------------------------ 0.20/0.42 % (460)Instruction limit reached! 0.20/0.42 % (460)------------------------------ 0.20/0.42 % (460)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.42 % (460)Termination reason: Unknown 0.20/0.42 % (460)Termination phase: shuffling 0.20/0.42 0.20/0.42 % (460)Memory used [KB]: 1791 0.20/0.42 % (460)Time elapsed: 0.007 s 0.20/0.42 % (460)Instructions burned: 17 (million) 0.20/0.42 % (460)------------------------------ 0.20/0.42 % (460)------------------------------ 0.20/0.42 % (462)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_335 for (1799ds/3Mi) 0.20/0.42 % (461)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_335 for (1799ds/3Mi) 0.20/0.43 % (462)Instruction limit reached! 0.20/0.43 % (462)------------------------------ 0.20/0.43 % (462)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.43 % (462)Termination reason: Unknown 0.20/0.43 % (462)Termination phase: shuffling 0.20/0.43 0.20/0.43 % (462)Memory used [KB]: 1535 0.20/0.43 % (462)Time elapsed: 0.003 s 0.20/0.43 % (462)Instructions burned: 3 (million) 0.20/0.43 % (462)------------------------------ 0.20/0.43 % (462)------------------------------ 0.20/0.43 % (461)Instruction limit reached! 0.20/0.43 % (461)------------------------------ 0.20/0.43 % (461)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.43 % (461)Termination reason: Unknown 0.20/0.43 % (461)Termination phase: shuffling 0.20/0.43 0.20/0.43 % (461)Memory used [KB]: 1535 0.20/0.43 % (461)Time elapsed: 0.003 s 0.20/0.43 % (461)Instructions burned: 4 (million) 0.20/0.43 % (461)------------------------------ 0.20/0.43 % (461)------------------------------ 0.20/0.43 % (463)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_335 for (1799ds/7Mi) 0.20/0.43 % (464)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_335 for (1799ds/3Mi) 0.20/0.43 % (464)Instruction limit reached! 0.20/0.43 % (464)------------------------------ 0.20/0.43 % (464)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.43 % (464)Termination reason: Unknown 0.20/0.43 % (464)Termination phase: shuffling 0.20/0.43 0.20/0.43 % (464)Memory used [KB]: 1535 0.20/0.43 % (464)Time elapsed: 0.003 s 0.20/0.43 % (464)Instructions burned: 4 (million) 0.20/0.43 % (464)------------------------------ 0.20/0.43 % (464)------------------------------ 0.20/0.43 % (463)Instruction limit reached! 0.20/0.43 % (463)------------------------------ 0.20/0.43 % (463)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.43 % (463)Termination reason: Unknown 0.20/0.43 % (463)Termination phase: shuffling 0.20/0.43 0.20/0.43 % (463)Memory used [KB]: 1663 0.20/0.43 % (463)Time elapsed: 0.005 s 0.20/0.43 % (463)Instructions burned: 9 (million) 0.20/0.43 % (463)------------------------------ 0.20/0.43 % (463)------------------------------ 0.20/0.43 % (465)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_335 for (1799ds/4Mi) 0.20/0.44 % (466)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_335 for (1799ds/18Mi) 0.20/0.44 % (465)Instruction limit reached! 0.20/0.44 % (465)------------------------------ 0.20/0.44 % (465)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.44 % (465)Termination reason: Unknown 0.20/0.44 % (465)Termination phase: shuffling 0.20/0.44 0.20/0.44 % (465)Memory used [KB]: 1535 0.20/0.44 % (465)Time elapsed: 0.003 s 0.20/0.44 % (465)Instructions burned: 4 (million) 0.20/0.44 % (465)------------------------------ 0.20/0.44 % (465)------------------------------ 0.20/0.44 % (467)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_335 for (1799ds/710Mi) 0.20/0.44 % (466)Instruction limit reached! 0.20/0.44 % (466)------------------------------ 0.20/0.44 % (466)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.44 % (466)Termination reason: Unknown 0.20/0.44 % (466)Termination phase: shuffling 0.20/0.44 0.20/0.44 % (466)Memory used [KB]: 1918 0.20/0.44 % (466)Time elapsed: 0.007 s 0.20/0.44 % (466)Instructions burned: 18 (million) 0.20/0.44 % (466)------------------------------ 0.20/0.44 % (466)------------------------------ 0.20/0.44 % (468)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_335 for (1799ds/6Mi) 0.20/0.45 % (468)Instruction limit reached! 0.20/0.45 % (468)------------------------------ 0.20/0.45 % (468)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.45 % (468)Termination reason: Unknown 0.20/0.45 % (468)Termination phase: shuffling 0.20/0.45 0.20/0.45 % (468)Memory used [KB]: 1535 0.20/0.45 % (468)Time elapsed: 0.004 s 0.20/0.45 % (468)Instructions burned: 7 (million) 0.20/0.45 % (468)------------------------------ 0.20/0.45 % (468)------------------------------ 0.20/0.45 % (469)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_335 for (1799ds/902Mi) 0.20/0.45 % (470)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_335 for (1799ds/21Mi) 0.20/0.46 % (471)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_335 for (1799ds/5Mi) 0.20/0.46 % (471)Instruction limit reached! 0.20/0.46 % (471)------------------------------ 0.20/0.46 % (471)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.46 % (471)Termination reason: Unknown 0.20/0.46 % (471)Termination phase: shuffling 0.20/0.46 0.20/0.46 % (471)Memory used [KB]: 1535 0.20/0.46 % (471)Time elapsed: 0.004 s 0.20/0.46 % (471)Instructions burned: 6 (million) 0.20/0.46 % (471)------------------------------ 0.20/0.46 % (471)------------------------------ 0.20/0.46 % (470)Instruction limit reached! 0.20/0.46 % (470)------------------------------ 0.20/0.46 % (470)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.46 % (470)Termination reason: Unknown 0.20/0.46 % (470)Termination phase: shuffling 0.20/0.46 0.20/0.46 % (470)Memory used [KB]: 1918 0.20/0.46 % (470)Time elapsed: 0.009 s 0.20/0.46 % (470)Instructions burned: 23 (million) 0.20/0.46 % (470)------------------------------ 0.20/0.46 % (470)------------------------------ 0.20/0.46 % (447)Instruction limit reached! 0.20/0.46 % (447)------------------------------ 0.20/0.46 % (447)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.46 % (447)Termination reason: Unknown 0.20/0.46 % (447)Termination phase: Saturation 0.20/0.46 0.20/0.46 % (447)Memory used [KB]: 7675 0.20/0.46 % (447)Time elapsed: 0.070 s 0.20/0.46 % (447)Instructions burned: 184 (million) 0.20/0.46 % (447)------------------------------ 0.20/0.46 % (447)------------------------------ 0.20/0.47 % (473)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_335 for (1799ds/377Mi) 0.20/0.47 % (472)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_335 for (1799ds/6Mi) 0.20/0.47 % (472)Instruction limit reached! 0.20/0.47 % (472)------------------------------ 0.20/0.47 % (472)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.47 % (472)Termination reason: Unknown 0.20/0.47 % (472)Termination phase: shuffling 0.20/0.47 0.20/0.47 % (472)Memory used [KB]: 1663 0.20/0.47 % (472)Time elapsed: 0.004 s 0.20/0.47 % (472)Instructions burned: 9 (million) 0.20/0.47 % (472)------------------------------ 0.20/0.47 % (472)------------------------------ 0.20/0.47 % (474)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_335 for (1799ds/779Mi) 0.20/0.48 % (475)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_335 for (1798ds/19Mi) 0.20/0.49 % (475)Instruction limit reached! 0.20/0.49 % (475)------------------------------ 0.20/0.49 % (475)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.49 % (475)Termination reason: Unknown 0.20/0.49 % (475)Termination phase: shuffling 0.20/0.49 0.20/0.49 % (475)Memory used [KB]: 1918 0.20/0.49 % (475)Time elapsed: 0.008 s 0.20/0.49 % (475)Instructions burned: 20 (million) 0.20/0.49 % (475)------------------------------ 0.20/0.49 % (475)------------------------------ 0.20/0.49 % (452)Instruction limit reached! 0.20/0.49 % (452)------------------------------ 0.20/0.49 % (452)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.49 % (452)Termination reason: Unknown 0.20/0.49 % (452)Termination phase: Saturation 0.20/0.49 0.20/0.49 % (452)Memory used [KB]: 9594 0.20/0.49 % (452)Time elapsed: 0.100 s 0.20/0.49 % (452)Instructions burned: 276 (million) 0.20/0.49 % (452)------------------------------ 0.20/0.49 % (452)------------------------------ 0.20/0.50 % (476)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_335 for (1798ds/879Mi) 0.20/0.50 % (478)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_335 for (1798ds/17Mi) 0.20/0.50 % (478)Instruction limit reached! 0.20/0.50 % (478)------------------------------ 0.20/0.50 % (478)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.50 % (478)Termination reason: Unknown 0.20/0.50 % (478)Termination phase: shuffling 0.20/0.50 0.20/0.50 % (478)Memory used [KB]: 1918 0.20/0.50 % (478)Time elapsed: 0.008 s 0.20/0.50 % (478)Instructions burned: 19 (million) 0.20/0.50 % (478)------------------------------ 0.20/0.50 % (478)------------------------------ 0.20/0.51 % (479)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_335 for (1798ds/3Mi) 0.20/0.52 % (479)Instruction limit reached! 0.20/0.52 % (479)------------------------------ 0.20/0.52 % (479)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.52 % (479)Termination reason: Unknown 0.20/0.52 % (479)Termination phase: shuffling 0.20/0.52 0.20/0.52 % (479)Memory used [KB]: 1535 0.20/0.52 % (479)Time elapsed: 0.003 s 0.20/0.52 % (479)Instructions burned: 3 (million) 0.20/0.52 % (479)------------------------------ 0.20/0.52 % (479)------------------------------ 0.20/0.52 % (480)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_335 for (1798ds/30Mi) 0.20/0.53 % (480)Instruction limit reached! 0.20/0.53 % (480)------------------------------ 0.20/0.53 % (480)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.53 % (480)Termination reason: Unknown 0.20/0.53 % (480)Termination phase: shuffling 0.20/0.53 0.20/0.53 % (480)Memory used [KB]: 2174 0.20/0.53 % (480)Time elapsed: 0.012 s 0.20/0.53 % (480)Instructions burned: 32 (million) 0.20/0.53 % (480)------------------------------ 0.20/0.53 % (480)------------------------------ 0.20/0.54 % (481)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_335 for (1798ds/127Mi) 0.20/0.58 % (481)Instruction limit reached! 0.20/0.58 % (481)------------------------------ 0.20/0.58 % (481)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.58 % (481)Termination reason: Unknown 0.20/0.58 % (481)Termination phase: Property scanning 0.20/0.58 0.20/0.58 % (481)Memory used [KB]: 2686 0.20/0.58 % (481)Time elapsed: 0.037 s 0.20/0.58 % (481)Instructions burned: 127 (million) 0.20/0.58 % (481)------------------------------ 0.20/0.58 % (481)------------------------------ 0.20/0.59 % (473)Instruction limit reached! 0.20/0.59 % (473)------------------------------ 0.20/0.59 % (473)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.59 % (473)Termination reason: Unknown 0.20/0.59 % (473)Termination phase: Saturation 0.20/0.59 0.20/0.59 % (473)Memory used [KB]: 9594 0.20/0.59 % (473)Time elapsed: 0.121 s 0.20/0.59 % (473)Instructions burned: 378 (million) 0.20/0.59 % (473)------------------------------ 0.20/0.59 % (473)------------------------------ 0.20/0.59 % (482)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_335 for (1797ds/100Mi) 0.20/0.60 % (483)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_335 for (1797ds/3Mi) 0.20/0.60 % (483)Instruction limit reached! 0.20/0.60 % (483)------------------------------ 0.20/0.60 % (483)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.60 % (483)Termination reason: Unknown 0.20/0.60 % (483)Termination phase: shuffling 0.20/0.60 0.20/0.60 % (483)Memory used [KB]: 1407 0.20/0.60 % (483)Time elapsed: 0.002 s 0.20/0.60 % (483)Instructions burned: 3 (million) 0.20/0.60 % (483)------------------------------ 0.20/0.60 % (483)------------------------------ 0.20/0.61 % (491)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_335 for (1797ds/20Mi) 1.64/0.61 % (491)Instruction limit reached! 1.64/0.61 % (491)------------------------------ 1.64/0.61 % (491)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.64/0.62 % (491)Termination reason: Unknown 1.64/0.62 % (491)Termination phase: shuffling 1.64/0.62 1.64/0.62 % (491)Memory used [KB]: 1918 1.64/0.62 % (491)Time elapsed: 0.010 s 1.64/0.62 % (491)Instructions burned: 21 (million) 1.64/0.62 % (491)------------------------------ 1.64/0.62 % (491)------------------------------ 1.64/0.62 % (482)Instruction limit reached! 1.64/0.62 % (482)------------------------------ 1.64/0.62 % (482)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.64/0.62 % (482)Termination reason: Unknown 1.64/0.62 % (482)Termination phase: Property scanning 1.64/0.62 1.64/0.62 % (482)Memory used [KB]: 2558 1.64/0.62 % (482)Time elapsed: 0.029 s 1.64/0.62 % (482)Instructions burned: 100 (million) 1.64/0.62 % (482)------------------------------ 1.64/0.62 % (482)------------------------------ 1.64/0.62 % (497)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_335 for (1797ds/86Mi) 1.64/0.63 % (498)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_335 for (1797ds/107Mi) 1.89/0.64 % (469)First to succeed. 1.93/0.64 % (469)Refutation found. Thanks to Tanya! 1.93/0.64 % SZS status Theorem for E---3.1_335 1.93/0.64 % SZS output start Proof for E---3.1_335 1.93/0.64 thf(func_def_0, type, in: $i > $i > $o). 1.93/0.64 thf(func_def_1, type, exu: ($i > $o) > $o). 1.93/0.64 thf(func_def_6, type, setadjoin: $i > $i > $i). 1.93/0.64 thf(func_def_8, type, powerset: $i > $i). 1.93/0.64 thf(func_def_10, type, setunion: $i > $i). 1.93/0.64 thf(func_def_19, type, descr: ($i > $o) > $i). 1.93/0.64 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 1.93/0.64 thf(func_def_26, type, prop2set: $o > $i). 1.93/0.64 thf(func_def_36, type, nonempty: $i > $o). 1.93/0.64 thf(func_def_69, type, set2prop: $i > $o). 1.93/0.64 thf(func_def_88, type, subset: $i > $i > $o). 1.93/0.64 thf(func_def_89, type, disjoint: $i > $i > $o). 1.93/0.64 thf(func_def_90, type, setsmeet: $i > $i > $o). 1.93/0.64 thf(func_def_114, type, binunion: $i > $i > $i). 1.93/0.64 thf(func_def_122, type, binintersect: $i > $i > $i). 1.93/0.64 thf(func_def_135, type, regular: $i > $o). 1.93/0.64 thf(func_def_136, type, setminus: $i > $i > $i). 1.93/0.64 thf(func_def_147, type, symdiff: $i > $i > $i). 1.93/0.64 thf(func_def_153, type, iskpair: $i > $o). 1.93/0.64 thf(func_def_158, type, kpair: $i > $i > $i). 1.93/0.64 thf(func_def_160, type, cartprod: $i > $i > $i). 1.93/0.64 thf(func_def_177, type, singleton: $i > $o). 1.93/0.64 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 1.93/0.64 thf(func_def_184, type, atmost1p: $i > $o). 1.93/0.64 thf(func_def_185, type, atleast2p: $i > $o). 1.93/0.64 thf(func_def_186, type, atmost2p: $i > $o). 1.93/0.64 thf(func_def_187, type, upairsetp: $i > $o). 1.93/0.64 thf(func_def_191, type, kfst: $i > $i). 1.93/0.64 thf(func_def_203, type, ksnd: $i > $i). 1.93/0.64 thf(func_def_213, type, breln: $i > $i > $i > $o). 1.93/0.64 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 1.93/0.64 thf(func_def_222, type, func: $i > $i > $i > $o). 1.93/0.64 thf(func_def_223, type, funcSet: $i > $i > $i). 1.93/0.64 thf(func_def_226, type, ap: $i > $i > $i > $i > $i). 1.93/0.64 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i). 1.93/0.64 thf(func_def_259, type, if: $i > $o > $i > $i > $i). 1.93/0.64 thf(func_def_303, type, sP0: $i > $i > $o). 1.93/0.64 thf(func_def_304, type, sP1: $i > $o). 1.93/0.64 thf(func_def_305, type, sP2: $i > $i > $o). 1.93/0.64 thf(func_def_306, type, sP3: $i > $i > $o). 1.93/0.64 thf(func_def_307, type, sP4: $i > $i > $i > $i > $o). 1.93/0.64 thf(func_def_309, type, sP6: $i > $i > $i > $o). 1.93/0.64 thf(func_def_314, type, sP11: $i > $o > $i > $i > $o). 1.93/0.64 thf(func_def_323, type, sK20: $i > $i > $i). 1.93/0.64 thf(func_def_324, type, sK21: ($i > $o) > ($i > $o) > $i > $i > $i). 1.93/0.64 thf(func_def_325, type, sK22: ($i > $o) > ($i > $o) > $i > $i > $i). 1.93/0.64 thf(func_def_328, type, sK25: $i > $o). 1.93/0.64 thf(func_def_329, type, sK26: $i > $o). 1.93/0.64 thf(func_def_344, type, sK41: $i > $i > $o). 1.93/0.64 thf(func_def_346, type, sK43: $i > $i > $i). 1.93/0.64 thf(func_def_347, type, sK44: $i > $i > $i). 1.93/0.64 thf(func_def_348, type, sK45: $i > $i > $i). 1.93/0.64 thf(func_def_349, type, sK46: $i > $i > $i). 1.93/0.64 thf(func_def_350, type, sK47: $i > $i > $i > $i). 1.93/0.64 thf(func_def_351, type, sK48: $i > $i). 1.93/0.64 thf(func_def_352, type, sK49: $i > $i). 1.93/0.64 thf(func_def_353, type, sK50: $i > $i). 1.93/0.64 thf(func_def_354, type, sK51: $i > $i). 1.93/0.64 thf(func_def_355, type, sK52: $i > $i > $i > $i). 1.93/0.64 thf(func_def_356, type, sK53: $i > $i > $i > $i). 1.93/0.64 thf(func_def_357, type, sK54: $i > $i > $i). 1.93/0.64 thf(func_def_358, type, sK55: $i > $i > $i). 1.93/0.64 thf(func_def_359, type, sK56: $i > $i > $i). 1.93/0.64 thf(func_def_361, type, sK58: $i > $i). 1.93/0.64 thf(func_def_362, type, sK59: $i > $i). 1.93/0.64 thf(func_def_363, type, sK60: $i > $i). 1.93/0.64 thf(func_def_364, type, sK61: $i > $i > $i). 1.93/0.64 thf(func_def_385, type, sK82: $i > $i). 1.93/0.64 thf(func_def_406, type, sK103: $i > $i > $i > $i > $i). 1.93/0.64 thf(func_def_411, type, sK108: $i > $o). 1.93/0.64 thf(func_def_421, type, sK118: $i > $i > $i > $i). 1.93/0.64 thf(func_def_435, type, sK132: $i > $i). 1.93/0.64 thf(func_def_441, type, sK138: $i > $i > $i > $i > $i). 1.93/0.64 thf(func_def_452, type, sK149: $i > $o). 1.93/0.64 thf(func_def_468, type, sK165: $i > $i). 1.93/0.64 thf(func_def_476, type, sK173: $i > $i > $o). 1.93/0.64 thf(func_def_484, type, sK181: ($i > $o) > $i). 1.93/0.64 thf(func_def_485, type, sK182: ($i > $o) > $i). 1.93/0.64 thf(func_def_486, type, sK183: $i > $o). 1.93/0.64 thf(func_def_489, type, sK186: $i > $o). 1.93/0.64 thf(func_def_497, type, sK194: $i > $i > $o). 1.93/0.64 thf(func_def_512, type, sK209: $i > $i > $i). 1.93/0.64 thf(func_def_534, type, sK231: $i > $o). 1.93/0.64 thf(func_def_536, type, sK233: $i > $i > ($i > $i) > $i). 1.93/0.64 thf(func_def_537, type, sK234: $i > $i). 1.93/0.64 thf(func_def_565, type, sK262: ($i > $o) > $i). 1.93/0.64 thf(func_def_566, type, sK263: $i > $o). 1.93/0.64 thf(func_def_567, type, sK264: $i > $i). 1.93/0.64 thf(func_def_579, type, sK276: $i > $i > $i > $i). 1.93/0.64 thf(func_def_580, type, sK277: $i > $i > $i > $i). 1.93/0.64 thf(func_def_597, type, sK294: $i > $i > $i > $i > $i). 1.93/0.64 thf(func_def_598, type, sK295: $i > $i > $i > $i > $i). 1.93/0.64 thf(func_def_599, type, sK296: $i > $i > $i > $i > $i). 1.93/0.64 thf(func_def_600, type, sK297: $i > $i > $i > $i > $i). 1.93/0.64 thf(func_def_601, type, sK298: $i > $i > $i > $i). 1.93/0.64 thf(func_def_605, type, sK302: $i > $i > $i > $i). 1.93/0.64 thf(func_def_610, type, sK307: $i > $o). 1.93/0.64 thf(func_def_626, type, sK323: ($i > $o) > ($i > $o) > $i). 1.93/0.64 thf(func_def_627, type, sK324: ($i > $o) > ($i > $o) > $i). 1.93/0.64 thf(func_def_628, type, sK325: $i > $o). 1.93/0.64 thf(func_def_629, type, sK326: $i > $o). 1.93/0.64 thf(func_def_630, type, sK327: $i > $o). 1.93/0.64 thf(func_def_633, type, sK330: $i > ($i > $o) > $i). 1.93/0.64 thf(func_def_634, type, sK331: $i > ($i > $o) > $i). 1.93/0.64 thf(func_def_635, type, sK332: ($i > $o) > $i). 1.93/0.64 thf(func_def_636, type, sK333: $i > $o). 1.93/0.64 thf(func_def_637, type, sK334: $i > $i). 1.93/0.64 thf(func_def_650, type, sK347: $i > $i > $i > $i > $i). 1.93/0.64 thf(func_def_651, type, sK348: ($i > $o) > $i > $i > $i > $i). 1.93/0.64 thf(func_def_652, type, sK349: ($i > $o) > $i > $i > $i > $i). 1.93/0.64 thf(func_def_656, type, sK353: $i > $o). 1.93/0.64 thf(func_def_658, type, sK355: $i > ($i > $o) > $i). 1.93/0.64 thf(func_def_659, type, sK356: $i > $o). 1.93/0.64 thf(func_def_662, type, sK359: $i > $o). 1.93/0.64 thf(func_def_665, type, sK362: $i > ($i > $o) > $i). 1.93/0.64 thf(func_def_676, type, sK373: $i > $o). 1.93/0.64 thf(func_def_678, type, sK375: ($i > $o) > $i > $i > $i > $i). 1.93/0.64 thf(func_def_679, type, sK376: ($i > $o) > $i > $i > $i > $i). 1.93/0.64 thf(func_def_686, type, sK383: $i > $o). 1.93/0.64 thf(func_def_692, type, sK389: $i > $i > ($i > $i) > $i). 1.93/0.64 thf(func_def_693, type, sK390: $i > $i). 1.93/0.64 thf(func_def_707, type, sK404: $i > $o). 1.93/0.64 thf(func_def_710, type, sK407: $i > ($i > $o) > $i). 1.93/0.64 thf(func_def_739, type, sK436: $i > $i). 1.93/0.64 thf(func_def_741, type, sK438: $i > $i). 1.93/0.64 thf(func_def_760, type, sK457: $i > $i). 1.93/0.64 thf(func_def_762, type, sK459: ($i > $i) > $i > $i > $i). 1.93/0.64 thf(func_def_766, type, sK463: $i > $o). 1.93/0.64 thf(func_def_769, type, sK466: $i > $o). 1.93/0.64 thf(func_def_782, type, sK479: $i > $o). 1.93/0.64 thf(func_def_794, type, sK491: $i > $i). 1.93/0.64 thf(func_def_797, type, sK494: $i > $i > $i). 1.93/0.64 thf(func_def_804, type, sK501: $i > $i > $i). 1.93/0.64 thf(func_def_810, type, sK507: $i > $i > $o). 1.93/0.64 thf(func_def_827, type, sK524: $i > ($i > $o) > $i). 1.93/0.64 thf(func_def_828, type, sK525: $i > $o). 1.93/0.64 thf(func_def_834, type, sK531: $i > $i > $i). 1.93/0.64 thf(func_def_835, type, sK532: $i > $o). 1.93/0.64 thf(func_def_836, type, sK533: $i > $o). 1.93/0.64 thf(func_def_837, type, sK534: ($i > $o) > ($i > $o) > $i). 1.93/0.64 thf(func_def_838, type, sK535: ($i > $o) > ($i > $o) > $i). 1.93/0.64 thf(func_def_846, type, sK543: $i > $i > $i > $i). 1.93/0.64 thf(func_def_853, type, sK550: $i > $i). 1.93/0.64 thf(func_def_855, type, sK552: $i > ($i > $i) > $i > $i). 1.93/0.64 thf(func_def_856, type, sK553: $i > ($i > $o) > $i). 1.93/0.64 thf(func_def_857, type, sK554: $i > $o). 1.93/0.64 thf(func_def_867, type, sK564: $i > $o). 1.93/0.64 thf(func_def_869, type, sK566: ($i > $o) > $i > $i). 1.93/0.64 thf(func_def_870, type, sK567: ($i > $o) > $i > $i). 1.93/0.64 thf(func_def_871, type, sK568: $i > $o). 1.93/0.64 thf(func_def_872, type, sK569: $i > $o). 1.93/0.64 thf(func_def_874, type, sK571: $i > ($i > $o) > $i). 1.93/0.64 thf(func_def_896, type, sK593: $i > $o). 1.93/0.64 thf(func_def_904, type, sK601: $i > $o). 1.93/0.64 thf(func_def_907, type, sK604: $i > $i > $i). 1.93/0.64 thf(func_def_921, type, sK618: $i > $i > $o). 1.93/0.64 thf(func_def_923, type, sK620: $i > $i). 1.93/0.64 thf(func_def_924, type, sK621: $i > $i). 1.93/0.64 thf(func_def_925, type, sK622: $i > ($i > $i > $o) > $i). 1.93/0.64 thf(func_def_926, type, sK623: $i > ($i > $i > $o) > $i). 1.93/0.64 thf(func_def_927, type, sK624: $i > $i > ($i > $i > $o) > $i). 1.93/0.64 thf(func_def_931, type, sK628: $i > $i). 1.93/0.64 thf(func_def_933, type, sK630: $i > ($i > $i) > $i > $i). 1.93/0.64 thf(func_def_937, type, sK634: $o > $i > $i > $i). 1.93/0.64 thf(func_def_946, type, sK643: $i > $i > $i). 1.93/0.64 thf(func_def_956, type, sK653: $i > ($i > $o) > $i). 1.93/0.64 thf(func_def_957, type, sK654: $i > $o). 1.93/0.64 thf(func_def_964, type, sK661: $i > $i > $i). 1.93/0.64 thf(func_def_972, type, sK669: $i > ($i > $o) > $i > $i). 1.93/0.64 thf(func_def_974, type, sK671: $i > $o). 1.93/0.64 thf(func_def_991, type, sK688: $i > $i > ($i > $i) > $i). 1.93/0.64 thf(func_def_992, type, sK689: $i > $i). 1.93/0.64 thf(func_def_996, type, sK693: ($i > $o) > $i). 1.93/0.64 thf(func_def_997, type, sK694: $i > $o). 1.93/0.64 thf(func_def_1006, type, sK703: $i > $i). 1.93/0.64 thf(func_def_1008, type, sK705: $i > $i > $o). 1.93/0.64 thf(func_def_1026, type, sK723: $i > $i > $o). 1.93/0.64 thf(func_def_1032, type, sK729: $i > $o). 1.93/0.64 thf(func_def_1035, type, sK732: $i > ($i > $o) > $i). 1.93/0.64 thf(func_def_1036, type, sK733: $i > ($i > $o) > $i). 1.93/0.64 thf(func_def_1037, type, sK734: $i > $o). 1.93/0.64 thf(func_def_1051, type, sK748: $i > $i > $i). 1.93/0.64 thf(func_def_1052, type, sK749: $i > $i > $i). 1.93/0.64 thf(func_def_1072, type, sK769: $i > $o). 1.93/0.64 thf(func_def_1086, type, sK783: $i > $i > $i > $i > $i). 1.93/0.64 thf(func_def_1087, type, sK784: $i > $i > $i > $i > $i). 1.93/0.64 thf(func_def_1095, type, sK792: $i > $i > $o). 1.93/0.64 thf(func_def_1099, type, ph796: !>[X0: $tType]:(X0)). 1.93/0.64 thf(f6847,plain,( 1.93/0.64 $false), 1.93/0.64 inference(trivial_inequality_removal,[],[f6838])). 1.93/0.64 thf(f6838,plain,( 1.93/0.64 ($true != $true)), 1.93/0.64 inference(superposition,[],[f4572,f2764])). 1.93/0.64 thf(f2764,plain,( 1.93/0.64 ($true = (in @ sK243 @ (powerset @ sK242)))), 1.93/0.64 inference(cnf_transformation,[],[f1473])). 1.93/0.64 thf(f1473,plain,( 1.93/0.64 (powersetI1 = $true) & (nonemptyE1 = $true) & (quantDeMorgan1 = $true) & (complementSubsetComplementIntersect = $true) & (singletonsubset = $true) & (setOfPairsIsBReln = $true) & (notinemptyset = $true) & (dpsetconstrEL1 = $true) & (lamProp = $true) & (binintersectT_lem = $true) & (emptyInPowerset = $true) & (setadjoinOr = $true) & (singletonsuniq = $true) & (upairsetIR = $true) & (cartprodfstpairEq = $true) & (cartprodpairsurjEq = $true) & (dpsetconstrEL2 = $true) & (funcext2 = $true) & (powersetE1 = $true) & (upairset2E = $true) & (powersetT_lem = $true) & (subsetTI = $true) & (lam2p = $true) & (setextAx = $true) & (ifSingleton = $true) & (setminusILneg = $true) & (iftrueProp1 = $true) & (doubleComplementE1 = $true) & (contrasubsetT1 = $true) & (inPowerset = $true) & (complementTE1 = $true) & (binintersectEL = $true) & (in__Cong = $true) & (upairsetE = $true) & (cartprodfstin = $true) & (omegaIndAx = $true) & (singletonprop = $true) & (powersetTE1 = $true) & (binintersectSubset3 = $true) & (funcGraphProp2 = $true) & (setukpairIR = $true) & (exuEu = $true) & (subsetE = $true) & (setminusER = $true) & (setukpairinjR12 = $true) & (upairequniteq = $true) & (setunionsingleton2 = $true) & (iffalse = $true) & (prop2setI = $true) & (emptyE1 = $true) & (brelnall1 = $true) & (emptysetAx = $true) & (setukpairinjR2 = $true) & (setukpairIL = $true) & (iffalseProp1 = $true) & (exu__Cong = $true) & (binintersectSubset5 = $true) & (dpsetconstrERa = $true) & (setunion__Cong = $true) & (binintersectSubset4 = $true) & (setadjoinSub = $true) & (upairinpowunion = $true) & (upairsetIL = $true) & (infuncsetfunc = $true) & (exuE3u = $true) & (sepSubset = $true) & (setukpairinjR1 = $true) & (binintersectRsub = $true) & (setukpairinjL2 = $true) & (ubforcartprodlem1 = $true) & (ap2apEq1 = $true) & (setunionsingleton1 = $true) & (iftrueorfalse = $true) & (doubleComplementSub1 = $true) & (exuE1 = $true) & (powersetsubset = $true) & (iffalseProp2 = $true) & (setminusERneg = $true) & (singletoninpowerset = $true) & (ap2p = $true) & (noeltsimpempty = $true) & (nonemptyI1 = $true) & (setminusSubset2 = $true) & (binunionRsub = $true) & (notequalI2 = $true) & (subsetemptysetimpeq = $true) & (complementImpComplementIntersect = $true) & (cartprodsndin = $true) & (bs114d = $true) & (eta1 = $true) & (eqimpsubset1 = $true) & (powersetAx = $true) & (replAx = $true) & (binintersectER = $true) & (binunionEcases = $true) & (powersetE = $true) & (funcGraphProp4 = $true) & (descr__Cong = $true) & (apProp = $true) & (kfstsingleton = $true) & (setminusT_lem = $true) & (ap2apEq2 = $true) & (singletoninpowunion = $true) & (upairsubunion = $true) & (funcextLem = $true) & (doubleComplementEq = $true) & (binunionIR = $true) & (symdiffI1 = $true) & (cartprodmempaircEq = $true) & (setukpairinjR = $true) & (cartprodsndpairEq = $true) & (setadjoinSub2 = $true) & (dsetconstrI = $true) & (contrasubsetT3 = $true) & (ksndpairEq = $true) & (iftrue = $true) & (funcext = $true) & (setext = $true) & (setminusI = $true) & (($true = (in @ sK241 @ (powerset @ sK242))) & (($true = (in @ sK243 @ (powerset @ sK242))) & ((in @ (setminus @ sK242 @ sK241) @ (powerset @ (setminus @ sK242 @ (binintersect @ sK241 @ sK243)))) != $true))) & (exuE3e = $true) & (descrp = $true) & (setminusLsub = $true) & (setadjoin__Cong = $true) & (ex1E2 = $true) & (symdiffIneg2 = $true) & (setunionI = $true) & (binintersectI = $true) & (funcGraphProp1 = $true) & (prop2set2propI = $true) & (ex1E1 = $true) & (kpairiskpair = $true) & (binintersectLsub = $true) & (setminusELneg = $true) & (ubforcartprodlem3 = $true) & (foundationAx = $true) & (complementT_lem = $true) & (doubleComplementI1 = $true) & (setminusSubset1 = $true) & (notsubsetI = $true) & (dsetconstr__Cong = $true) & (binintersectSubset2 = $true) & (binunionIL = $true) & (exuE2 = $true) & (cartprodpairin = $true) & (setunionE = $true) & (binunionLsub = $true) & (setukpairinjL = $true) & (dpsetconstrER = $true) & (subsetI2 = $true) & (setadjoinAx = $true) & (secondinupair = $true) & (app = $true) & (notequalI1 = $true) & (emptysetimpfalse = $true) & (contrasubsetT = $true) & (setextsub = $true) & (subPowSU = $true) & (binunionT_lem = $true) & (exuI2 = $true) & (dpsetconstrSub = $true) & (funcGraphProp3 = $true) & (setextT = $true) & (emptysetE = $true) & (eqinunit = $true) & (iftrueProp2 = $true) & (funcinfuncset = $true) & (omega__Cong = $true) & (brelnall2 = $true) & (prop2setE = $true) & (setukpairinjR11 = $true) & (cartprodmempair1 = $true) & (cartprodpairmemER = $true) & (funcImageSingleton = $true) & (theeq = $true) & (eta2 = $true) & (powersetI = $true) & (ubforcartprodlem2 = $true) & (cartprodmempair = $true) & (ksndsingleton = $true) & (emptysetsubset = $true) & (subset2powerset = $true) & (lamp = $true) & (omega0Ax = $true) & (setadjoinIR = $true) & (ifp = $true) & (omegaSAx = $true) & (vacuousDall = $true) & (cartprodpairmemEL = $true) & (eqbreln = $true) & (emptyset__Cong = $true) & (notdexE = $true) & (setunionsingleton = $true) & (subbreln = $true) & (eqimpsubset2 = $true) & (complementTnotintersectT = $true) & (emptyinunitempty = $true) & (quantDeMorgan2 = $true) & (setminusIRneg = $true) & (binunionE = $true) & (powersetTI1 = $true) & (theprop = $true) & (beta1 = $true) & (setunionAx = $true) & (subsetRefl = $true) & (emptyinPowerset = $true) & (setunionE2 = $true) & (contrasubsetT2 = $true) & (emptyI = $true) & (inCongP = $true) & (binintersectTELcontra = $true) & (uniqinunit = $true) & (upairset2IR = $true) & (binintersectTERcontra = $true) & (quantDeMorgan3 = $true) & (subsetI1 = $true) & (setminusEL = $true) & (setadjoinIL = $true) & (doubleComplementSub2 = $true) & (singletonsswitch = $true) & (notinsingleton = $true) & (nonemptyImpWitness = $true) & (subsetE2 = $true) & (nonemptyI = $true) & (dsetconstrER = $true) & (exuI1 = $true) & (kpairp = $true) & (subsetTrans = $true) & (kfstpairEq = $true) & (symdiffIneg1 = $true) & (binintersectSubset1 = $true) & (symdiffE = $true) & (symdiffI2 = $true) & (dpsetconstrI = $true) & (ex1I = $true) & (sepInPowerset = $true) & (setbeta = $true) & (setadjoinE = $true) & (beta2 = $true) & (setoftrueEq = $true) & (notdallE = $true) & (powerset__Cong = $true) & (lam2lamEq = $true) & (ex1I2 = $true) & (dsetconstrEL = $true) & (disjointsetsI1 = $true) & (quantDeMorgan4 = $true) & (kpairsurjEq = $true) & (wellorderingAx = $true) & (setukpairinjL1 = $true) & (complementTI1 = $true) & (exuI3 = $true)), 1.93/0.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK241,sK242,sK243])],[f1035,f1472,f1471])). 1.93/0.64 thf(f1471,plain,( 1.93/0.64 ? [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) & ? [X2] : (((in @ X2 @ (powerset @ X1)) = $true) & ($true != (in @ (setminus @ X1 @ X0) @ (powerset @ (setminus @ X1 @ (binintersect @ X0 @ X2))))))) => (($true = (in @ sK241 @ (powerset @ sK242))) & ? [X2] : (((in @ X2 @ (powerset @ sK242)) = $true) & ((in @ (setminus @ sK242 @ sK241) @ (powerset @ (setminus @ sK242 @ (binintersect @ sK241 @ X2)))) != $true)))), 1.93/0.64 introduced(choice_axiom,[])). 1.93/0.64 thf(f1472,plain,( 1.93/0.64 ? [X2] : (((in @ X2 @ (powerset @ sK242)) = $true) & ((in @ (setminus @ sK242 @ sK241) @ (powerset @ (setminus @ sK242 @ (binintersect @ sK241 @ X2)))) != $true)) => (($true = (in @ sK243 @ (powerset @ sK242))) & ((in @ (setminus @ sK242 @ sK241) @ (powerset @ (setminus @ sK242 @ (binintersect @ sK241 @ sK243)))) != $true))), 1.93/0.64 introduced(choice_axiom,[])). 1.93/0.64 thf(f1035,plain,( 1.93/0.64 (powersetI1 = $true) & (nonemptyE1 = $true) & (quantDeMorgan1 = $true) & (complementSubsetComplementIntersect = $true) & (singletonsubset = $true) & (setOfPairsIsBReln = $true) & (notinemptyset = $true) & (dpsetconstrEL1 = $true) & (lamProp = $true) & (binintersectT_lem = $true) & (emptyInPowerset = $true) & (setadjoinOr = $true) & (singletonsuniq = $true) & (upairsetIR = $true) & (cartprodfstpairEq = $true) & (cartprodpairsurjEq = $true) & (dpsetconstrEL2 = $true) & (funcext2 = $true) & (powersetE1 = $true) & (upairset2E = $true) & (powersetT_lem = $true) & (subsetTI = $true) & (lam2p = $true) & (setextAx = $true) & (ifSingleton = $true) & (setminusILneg = $true) & (iftrueProp1 = $true) & (doubleComplementE1 = $true) & (contrasubsetT1 = $true) & (inPowerset = $true) & (complementTE1 = $true) & (binintersectEL = $true) & (in__Cong = $true) & (upairsetE = $true) & (cartprodfstin = $true) & (omegaIndAx = $true) & (singletonprop = $true) & (powersetTE1 = $true) & (binintersectSubset3 = $true) & (funcGraphProp2 = $true) & (setukpairIR = $true) & (exuEu = $true) & (subsetE = $true) & (setminusER = $true) & (setukpairinjR12 = $true) & (upairequniteq = $true) & (setunionsingleton2 = $true) & (iffalse = $true) & (prop2setI = $true) & (emptyE1 = $true) & (brelnall1 = $true) & (emptysetAx = $true) & (setukpairinjR2 = $true) & (setukpairIL = $true) & (iffalseProp1 = $true) & (exu__Cong = $true) & (binintersectSubset5 = $true) & (dpsetconstrERa = $true) & (setunion__Cong = $true) & (binintersectSubset4 = $true) & (setadjoinSub = $true) & (upairinpowunion = $true) & (upairsetIL = $true) & (infuncsetfunc = $true) & (exuE3u = $true) & (sepSubset = $true) & (setukpairinjR1 = $true) & (binintersectRsub = $true) & (setukpairinjL2 = $true) & (ubforcartprodlem1 = $true) & (ap2apEq1 = $true) & (setunionsingleton1 = $true) & (iftrueorfalse = $true) & (doubleComplementSub1 = $true) & (exuE1 = $true) & (powersetsubset = $true) & (iffalseProp2 = $true) & (setminusERneg = $true) & (singletoninpowerset = $true) & (ap2p = $true) & (noeltsimpempty = $true) & (nonemptyI1 = $true) & (setminusSubset2 = $true) & (binunionRsub = $true) & (notequalI2 = $true) & (subsetemptysetimpeq = $true) & (complementImpComplementIntersect = $true) & (cartprodsndin = $true) & (bs114d = $true) & (eta1 = $true) & (eqimpsubset1 = $true) & (powersetAx = $true) & (replAx = $true) & (binintersectER = $true) & (binunionEcases = $true) & (powersetE = $true) & (funcGraphProp4 = $true) & (descr__Cong = $true) & (apProp = $true) & (kfstsingleton = $true) & (setminusT_lem = $true) & (ap2apEq2 = $true) & (singletoninpowunion = $true) & (upairsubunion = $true) & (funcextLem = $true) & (doubleComplementEq = $true) & (binunionIR = $true) & (symdiffI1 = $true) & (cartprodmempaircEq = $true) & (setukpairinjR = $true) & (cartprodsndpairEq = $true) & (setadjoinSub2 = $true) & (dsetconstrI = $true) & (contrasubsetT3 = $true) & (ksndpairEq = $true) & (iftrue = $true) & (funcext = $true) & (setext = $true) & (setminusI = $true) & ? [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) & ? [X2] : (((in @ X2 @ (powerset @ X1)) = $true) & ($true != (in @ (setminus @ X1 @ X0) @ (powerset @ (setminus @ X1 @ (binintersect @ X0 @ X2))))))) & (exuE3e = $true) & (descrp = $true) & (setminusLsub = $true) & (setadjoin__Cong = $true) & (ex1E2 = $true) & (symdiffIneg2 = $true) & (setunionI = $true) & (binintersectI = $true) & (funcGraphProp1 = $true) & (prop2set2propI = $true) & (ex1E1 = $true) & (kpairiskpair = $true) & (binintersectLsub = $true) & (setminusELneg = $true) & (ubforcartprodlem3 = $true) & (foundationAx = $true) & (complementT_lem = $true) & (doubleComplementI1 = $true) & (setminusSubset1 = $true) & (notsubsetI = $true) & (dsetconstr__Cong = $true) & (binintersectSubset2 = $true) & (binunionIL = $true) & (exuE2 = $true) & (cartprodpairin = $true) & (setunionE = $true) & (binunionLsub = $true) & (setukpairinjL = $true) & (dpsetconstrER = $true) & (subsetI2 = $true) & (setadjoinAx = $true) & (secondinupair = $true) & (app = $true) & (notequalI1 = $true) & (emptysetimpfalse = $true) & (contrasubsetT = $true) & (setextsub = $true) & (subPowSU = $true) & (binunionT_lem = $true) & (exuI2 = $true) & (dpsetconstrSub = $true) & (funcGraphProp3 = $true) & (setextT = $true) & (emptysetE = $true) & (eqinunit = $true) & (iftrueProp2 = $true) & (funcinfuncset = $true) & (omega__Cong = $true) & (brelnall2 = $true) & (prop2setE = $true) & (setukpairinjR11 = $true) & (cartprodmempair1 = $true) & (cartprodpairmemER = $true) & (funcImageSingleton = $true) & (theeq = $true) & (eta2 = $true) & (powersetI = $true) & (ubforcartprodlem2 = $true) & (cartprodmempair = $true) & (ksndsingleton = $true) & (emptysetsubset = $true) & (subset2powerset = $true) & (lamp = $true) & (omega0Ax = $true) & (setadjoinIR = $true) & (ifp = $true) & (omegaSAx = $true) & (vacuousDall = $true) & (cartprodpairmemEL = $true) & (eqbreln = $true) & (emptyset__Cong = $true) & (notdexE = $true) & (setunionsingleton = $true) & (subbreln = $true) & (eqimpsubset2 = $true) & (complementTnotintersectT = $true) & (emptyinunitempty = $true) & (quantDeMorgan2 = $true) & (setminusIRneg = $true) & (binunionE = $true) & (powersetTI1 = $true) & (theprop = $true) & (beta1 = $true) & (setunionAx = $true) & (subsetRefl = $true) & (emptyinPowerset = $true) & (setunionE2 = $true) & (contrasubsetT2 = $true) & (emptyI = $true) & (inCongP = $true) & (binintersectTELcontra = $true) & (uniqinunit = $true) & (upairset2IR = $true) & (binintersectTERcontra = $true) & (quantDeMorgan3 = $true) & (subsetI1 = $true) & (setminusEL = $true) & (setadjoinIL = $true) & (doubleComplementSub2 = $true) & (singletonsswitch = $true) & (notinsingleton = $true) & (nonemptyImpWitness = $true) & (subsetE2 = $true) & (nonemptyI = $true) & (dsetconstrER = $true) & (exuI1 = $true) & (kpairp = $true) & (subsetTrans = $true) & (kfstpairEq = $true) & (symdiffIneg1 = $true) & (binintersectSubset1 = $true) & (symdiffE = $true) & (symdiffI2 = $true) & (dpsetconstrI = $true) & (ex1I = $true) & (sepInPowerset = $true) & (setbeta = $true) & (setadjoinE = $true) & (beta2 = $true) & (setoftrueEq = $true) & (notdallE = $true) & (powerset__Cong = $true) & (lam2lamEq = $true) & (ex1I2 = $true) & (dsetconstrEL = $true) & (disjointsetsI1 = $true) & (quantDeMorgan4 = $true) & (kpairsurjEq = $true) & (wellorderingAx = $true) & (setukpairinjL1 = $true) & (complementTI1 = $true) & (exuI3 = $true)), 1.93/0.64 inference(flattening,[],[f1034])). 1.93/0.64 thf(f1034,plain,( 1.93/0.64 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) & ? [X2] : (((in @ X2 @ (powerset @ X1)) = $true) & ($true != (in @ (setminus @ X1 @ X0) @ (powerset @ (setminus @ X1 @ (binintersect @ X0 @ X2))))))) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)), 1.93/0.64 inference(ennf_transformation,[],[f432])). 1.93/0.64 thf(f432,plain,( 1.93/0.64 ~((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) => ! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) => ! [X2] : (((in @ X2 @ (powerset @ X1)) = $true) => ($true = (in @ (setminus @ X1 @ X0) @ (powerset @ (setminus @ X1 @ (binintersect @ X0 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.93/0.64 inference(fool_elimination,[],[f431])). 1.93/0.64 thf(f431,plain,( 1.93/0.64 ~(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 => ! [X0,X1] : ((in @ X0 @ (powerset @ X1)) => ! [X2] : ((in @ X2 @ (powerset @ X1)) => (in @ (setminus @ X1 @ X0) @ (powerset @ (setminus @ X1 @ (binintersect @ X0 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.93/0.64 inference(rectify,[],[f257])). 1.93/0.64 thf(f257,negated_conjecture,( 1.93/0.64 ~(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 => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => (in @ (setminus @ X3 @ X11) @ (powerset @ (setminus @ X3 @ (binintersect @ X11 @ X16)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.93/0.64 inference(negated_conjecture,[],[f256])). 1.93/0.64 thf(f256,conjecture,( 1.93/0.64 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 => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => (in @ (setminus @ X3 @ X11) @ (powerset @ (setminus @ X3 @ (binintersect @ X11 @ X16))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.93/0.64 file('/export/starexec/sandbox/tmp/tmp.GNxb7XbES5/E---3.1_335.p',complementInPowersetComplementIntersect)). 1.93/0.64 thf(f4572,plain,( 1.93/0.64 ($true != (in @ sK243 @ (powerset @ sK242)))), 1.93/0.64 inference(trivial_inequality_removal,[],[f4571])). 1.93/0.64 thf(f4571,plain,( 1.93/0.64 ($true != $true) | ($true != (in @ sK243 @ (powerset @ sK242)))), 1.93/0.64 inference(forward_demodulation,[],[f4570,f2881])). 1.93/0.64 thf(f2881,plain,( 1.93/0.64 (complementSubsetComplementIntersect = $true)), 1.93/0.64 inference(cnf_transformation,[],[f1473])). 1.93/0.64 thf(f4570,plain,( 1.93/0.64 ($true != (in @ sK243 @ (powerset @ sK242))) | (complementSubsetComplementIntersect != $true)), 1.93/0.64 inference(trivial_inequality_removal,[],[f4569])). 1.93/0.64 thf(f4569,plain,( 1.93/0.64 (complementSubsetComplementIntersect != $true) | ($true != (in @ sK243 @ (powerset @ sK242))) | ($true != $true)), 1.93/0.64 inference(forward_demodulation,[],[f4561,f2765])). 1.93/0.64 thf(f2765,plain,( 1.93/0.64 ($true = (in @ sK241 @ (powerset @ sK242)))), 1.93/0.64 inference(cnf_transformation,[],[f1473])). 1.93/0.64 thf(f4561,plain,( 1.93/0.64 ($true != (in @ sK241 @ (powerset @ sK242))) | ($true != (in @ sK243 @ (powerset @ sK242))) | (complementSubsetComplementIntersect != $true)), 1.93/0.64 inference(trivial_inequality_removal,[],[f4550])). 1.93/0.64 thf(f4550,plain,( 1.93/0.64 ($true != $true) | ($true != (in @ sK241 @ (powerset @ sK242))) | ($true != (in @ sK243 @ (powerset @ sK242))) | (complementSubsetComplementIntersect != $true)), 1.93/0.64 inference(superposition,[],[f3890,f3408])). 1.93/0.64 thf(f3408,plain,( 1.93/0.64 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((subset @ (setminus @ X0 @ X1) @ (setminus @ X0 @ (binintersect @ X1 @ X2))) = $true) | ((in @ X1 @ (powerset @ X0)) != $true) | (complementSubsetComplementIntersect != $true) | ((in @ X2 @ (powerset @ X0)) != $true)) )), 1.93/0.64 inference(cnf_transformation,[],[f2084])). 1.93/0.64 thf(f2084,plain,( 1.93/0.64 (! [X0,X1] : (((in @ X1 @ (powerset @ X0)) != $true) | ! [X2] : (((subset @ (setminus @ X0 @ X1) @ (setminus @ X0 @ (binintersect @ X1 @ X2))) = $true) | ((in @ X2 @ (powerset @ X0)) != $true))) | (complementSubsetComplementIntersect != $true)) & ((complementSubsetComplementIntersect = $true) | (((in @ sK632 @ (powerset @ sK631)) = $true) & (((subset @ (setminus @ sK631 @ sK632) @ (setminus @ sK631 @ (binintersect @ sK632 @ sK633))) != $true) & ((in @ sK633 @ (powerset @ sK631)) = $true))))), 1.93/0.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK631,sK632,sK633])],[f2081,f2083,f2082])). 1.93/0.64 thf(f2082,plain,( 1.93/0.64 ? [X3,X4] : (((in @ X4 @ (powerset @ X3)) = $true) & ? [X5] : (((subset @ (setminus @ X3 @ X4) @ (setminus @ X3 @ (binintersect @ X4 @ X5))) != $true) & ((in @ X5 @ (powerset @ X3)) = $true))) => (((in @ sK632 @ (powerset @ sK631)) = $true) & ? [X5] : (($true != (subset @ (setminus @ sK631 @ sK632) @ (setminus @ sK631 @ (binintersect @ sK632 @ X5)))) & ($true = (in @ X5 @ (powerset @ sK631)))))), 1.93/0.64 introduced(choice_axiom,[])). 1.93/0.64 thf(f2083,plain,( 1.93/0.64 ? [X5] : (($true != (subset @ (setminus @ sK631 @ sK632) @ (setminus @ sK631 @ (binintersect @ sK632 @ X5)))) & ($true = (in @ X5 @ (powerset @ sK631)))) => (((subset @ (setminus @ sK631 @ sK632) @ (setminus @ sK631 @ (binintersect @ sK632 @ sK633))) != $true) & ((in @ sK633 @ (powerset @ sK631)) = $true))), 1.93/0.64 introduced(choice_axiom,[])). 1.93/0.64 thf(f2081,plain,( 1.93/0.64 (! [X0,X1] : (((in @ X1 @ (powerset @ X0)) != $true) | ! [X2] : (((subset @ (setminus @ X0 @ X1) @ (setminus @ X0 @ (binintersect @ X1 @ X2))) = $true) | ((in @ X2 @ (powerset @ X0)) != $true))) | (complementSubsetComplementIntersect != $true)) & ((complementSubsetComplementIntersect = $true) | ? [X3,X4] : (((in @ X4 @ (powerset @ X3)) = $true) & ? [X5] : (((subset @ (setminus @ X3 @ X4) @ (setminus @ X3 @ (binintersect @ X4 @ X5))) != $true) & ((in @ X5 @ (powerset @ X3)) = $true))))), 1.93/0.64 inference(rectify,[],[f2080])). 1.93/0.64 thf(f2080,plain,( 1.93/0.64 (! [X0,X1] : (((in @ X1 @ (powerset @ X0)) != $true) | ! [X2] : (((subset @ (setminus @ X0 @ X1) @ (setminus @ X0 @ (binintersect @ X1 @ X2))) = $true) | ((in @ X2 @ (powerset @ X0)) != $true))) | (complementSubsetComplementIntersect != $true)) & ((complementSubsetComplementIntersect = $true) | ? [X0,X1] : (((in @ X1 @ (powerset @ X0)) = $true) & ? [X2] : (((subset @ (setminus @ X0 @ X1) @ (setminus @ X0 @ (binintersect @ X1 @ X2))) != $true) & ((in @ X2 @ (powerset @ X0)) = $true))))), 1.93/0.64 inference(nnf_transformation,[],[f1084])). 1.93/0.64 thf(f1084,plain,( 1.93/0.64 ! [X0,X1] : (((in @ X1 @ (powerset @ X0)) != $true) | ! [X2] : (((subset @ (setminus @ X0 @ X1) @ (setminus @ X0 @ (binintersect @ X1 @ X2))) = $true) | ((in @ X2 @ (powerset @ X0)) != $true))) <=> (complementSubsetComplementIntersect = $true)), 1.93/0.64 inference(ennf_transformation,[],[f272])). 1.93/0.64 thf(f272,plain,( 1.93/0.64 (complementSubsetComplementIntersect = $true) <=> ! [X0,X1] : (((in @ X1 @ (powerset @ X0)) = $true) => ! [X2] : (((in @ X2 @ (powerset @ X0)) = $true) => ((subset @ (setminus @ X0 @ X1) @ (setminus @ X0 @ (binintersect @ X1 @ X2))) = $true)))), 1.93/0.64 inference(fool_elimination,[],[f271])). 1.93/0.64 thf(f271,plain,( 1.93/0.64 (! [X0,X1] : ((in @ X1 @ (powerset @ X0)) => ! [X2] : ((in @ X2 @ (powerset @ X0)) => (subset @ (setminus @ X0 @ X1) @ (setminus @ X0 @ (binintersect @ X1 @ X2))))) = complementSubsetComplementIntersect)), 1.93/0.64 inference(rectify,[],[f255])). 1.93/0.64 thf(f255,axiom,( 1.93/0.64 (! [X3,X11] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => (subset @ (setminus @ X3 @ X11) @ (setminus @ X3 @ (binintersect @ X11 @ X16))))) = complementSubsetComplementIntersect)), 1.93/0.64 file('/export/starexec/sandbox/tmp/tmp.GNxb7XbES5/E---3.1_335.p',complementSubsetComplementIntersect)). 1.93/0.64 thf(f3890,plain,( 1.93/0.64 ($true != (subset @ (setminus @ sK242 @ sK241) @ (setminus @ sK242 @ (binintersect @ sK241 @ sK243))))), 1.93/0.64 inference(trivial_inequality_removal,[],[f3889])). 1.93/0.64 thf(f3889,plain,( 1.93/0.64 ($true != $true) | ($true != (subset @ (setminus @ sK242 @ sK241) @ (setminus @ sK242 @ (binintersect @ sK241 @ sK243))))), 1.93/0.64 inference(forward_demodulation,[],[f3888,f2884])). 1.93/0.64 thf(f2884,plain,( 1.93/0.64 (powersetI1 = $true)), 1.93/0.64 inference(cnf_transformation,[],[f1473])). 1.93/0.64 thf(f3888,plain,( 1.93/0.64 (powersetI1 != $true) | ($true != (subset @ (setminus @ sK242 @ sK241) @ (setminus @ sK242 @ (binintersect @ sK241 @ sK243))))), 1.93/0.64 inference(trivial_inequality_removal,[],[f3875])). 1.93/0.64 thf(f3875,plain,( 1.93/0.64 ($true != (subset @ (setminus @ sK242 @ sK241) @ (setminus @ sK242 @ (binintersect @ sK241 @ sK243)))) | (powersetI1 != $true) | ($true != $true)), 1.93/0.64 inference(superposition,[],[f2763,f2446])). 1.93/0.64 thf(f2446,plain,( 1.93/0.64 ( ! [X0 : $i,X1 : $i] : (((in @ X0 @ (powerset @ X1)) = $true) | (powersetI1 != $true) | ((subset @ X0 @ X1) != $true)) )), 1.93/0.64 inference(cnf_transformation,[],[f1252])). 1.93/0.64 thf(f1252,plain,( 1.93/0.64 (! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) | ((subset @ X0 @ X1) != $true)) | (powersetI1 != $true)) & ((powersetI1 = $true) | (((in @ sK96 @ (powerset @ sK97)) != $true) & ((subset @ sK96 @ sK97) = $true)))), 1.93/0.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK96,sK97])],[f1250,f1251])). 1.93/0.64 thf(f1251,plain,( 1.93/0.64 ? [X2,X3] : (((in @ X2 @ (powerset @ X3)) != $true) & ($true = (subset @ X2 @ X3))) => (((in @ sK96 @ (powerset @ sK97)) != $true) & ((subset @ sK96 @ sK97) = $true))), 1.93/0.64 introduced(choice_axiom,[])). 1.93/0.64 thf(f1250,plain,( 1.93/0.64 (! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) | ((subset @ X0 @ X1) != $true)) | (powersetI1 != $true)) & ((powersetI1 = $true) | ? [X2,X3] : (((in @ X2 @ (powerset @ X3)) != $true) & ($true = (subset @ X2 @ X3))))), 1.93/0.64 inference(rectify,[],[f1249])). 1.93/0.64 thf(f1249,plain,( 1.93/0.64 (! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) | ((subset @ X0 @ X1) != $true)) | (powersetI1 != $true)) & ((powersetI1 = $true) | ? [X0,X1] : (((in @ X0 @ (powerset @ X1)) != $true) & ((subset @ X0 @ X1) = $true)))), 1.93/0.64 inference(nnf_transformation,[],[f1098])). 1.93/0.64 thf(f1098,plain,( 1.93/0.64 ! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) | ((subset @ X0 @ X1) != $true)) <=> (powersetI1 = $true)), 1.93/0.64 inference(ennf_transformation,[],[f539])). 1.93/0.64 thf(f539,plain,( 1.93/0.64 (powersetI1 = $true) <=> ! [X0,X1] : (((subset @ X0 @ X1) = $true) => ((in @ X0 @ (powerset @ X1)) = $true))), 1.93/0.64 inference(fool_elimination,[],[f538])). 1.93/0.64 thf(f538,plain,( 1.93/0.64 (! [X0,X1] : ((subset @ X0 @ X1) => (in @ X0 @ (powerset @ X1))) = powersetI1)), 1.93/0.64 inference(rectify,[],[f95])). 1.93/0.64 thf(f95,axiom,( 1.93/0.64 (! [X4,X3] : ((subset @ X4 @ X3) => (in @ X4 @ (powerset @ X3))) = powersetI1)), 1.93/0.64 file('/export/starexec/sandbox/tmp/tmp.GNxb7XbES5/E---3.1_335.p',powersetI1)). 1.93/0.64 thf(f2763,plain,( 1.93/0.64 ((in @ (setminus @ sK242 @ sK241) @ (powerset @ (setminus @ sK242 @ (binintersect @ sK241 @ sK243)))) != $true)), 1.93/0.64 inference(cnf_transformation,[],[f1473])). 1.93/0.64 % SZS output end Proof for E---3.1_335 1.93/0.64 % (469)------------------------------ 1.93/0.64 % (469)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.93/0.64 % (469)Termination reason: Refutation 1.93/0.64 1.93/0.64 % (469)Memory used [KB]: 11257 1.93/0.64 % (469)Time elapsed: 0.198 s 1.93/0.64 % (469)Instructions burned: 570 (million) 1.93/0.64 % (469)------------------------------ 1.93/0.64 % (469)------------------------------ 1.93/0.64 % (446)Success in time 0.272 s 1.93/0.64 EOF