0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n015.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 03:49:34 EDT 2025 0.18/0.33 % CPUTime : 0.18/0.35 This is a THF_ problem 0.18/0.35 Running higher-order theorem proving 0.18/0.40 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.3BzYtAG4Yc/E---3.1_1162.p -m 16384 -t 240 0.27/0.44 % (1334)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_1162 for (2399ds/27Mi) 0.27/0.44 % (1333)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_1162 for (2399ds/4Mi) 0.27/0.44 % (1332)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_1162 for (2399ds/183Mi) 0.27/0.44 % (1335)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_1162 for (2399ds/2Mi) 0.27/0.44 % (1336)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_1162 for (2399ds/2Mi) 0.27/0.45 % (1337)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_1162 for (2399ds/275Mi) 0.27/0.45 % (1338)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_1162 for (2399ds/18Mi) 0.27/0.45 % (1335)Instruction limit reached! 0.27/0.45 % (1335)------------------------------ 0.27/0.45 % (1335)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.45 % (1335)Termination reason: Unknown 0.27/0.45 % (1335)Termination phase: shuffling 0.27/0.45 0.27/0.45 % (1335)Memory used [KB]: 1407 0.27/0.45 % (1335)Time elapsed: 0.003 s 0.27/0.45 % (1335)Instructions burned: 2 (million) 0.27/0.45 % (1335)------------------------------ 0.27/0.45 % (1335)------------------------------ 0.27/0.45 % (1336)Instruction limit reached! 0.27/0.45 % (1336)------------------------------ 0.27/0.45 % (1336)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.45 % (1336)Termination reason: Unknown 0.27/0.45 % (1336)Termination phase: shuffling 0.27/0.45 0.27/0.45 % (1336)Memory used [KB]: 1407 0.27/0.45 % (1336)Time elapsed: 0.003 s 0.27/0.45 % (1336)Instructions burned: 2 (million) 0.27/0.45 % (1336)------------------------------ 0.27/0.45 % (1336)------------------------------ 0.27/0.45 % (1333)Instruction limit reached! 0.27/0.45 % (1333)------------------------------ 0.27/0.45 % (1333)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.45 % (1333)Termination reason: Unknown 0.27/0.45 % (1333)Termination phase: shuffling 0.27/0.45 0.27/0.45 % (1333)Memory used [KB]: 1535 0.27/0.45 % (1333)Time elapsed: 0.005 s 0.27/0.45 % (1333)Instructions burned: 5 (million) 0.27/0.45 % (1333)------------------------------ 0.27/0.45 % (1333)------------------------------ 0.27/0.46 % (1338)Instruction limit reached! 0.27/0.46 % (1338)------------------------------ 0.27/0.46 % (1338)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.46 % (1338)Termination reason: Unknown 0.27/0.46 % (1338)Termination phase: shuffling 0.27/0.46 0.27/0.46 % (1338)Memory used [KB]: 1791 0.27/0.46 % (1338)Time elapsed: 0.014 s 0.27/0.46 % (1338)Instructions burned: 18 (million) 0.27/0.46 % (1338)------------------------------ 0.27/0.46 % (1338)------------------------------ 0.27/0.46 % (1334)Instruction limit reached! 0.27/0.46 % (1334)------------------------------ 0.27/0.46 % (1334)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.46 % (1334)Termination reason: Unknown 0.27/0.46 % (1334)Termination phase: shuffling 0.27/0.46 0.27/0.46 % (1334)Memory used [KB]: 1918 0.27/0.46 % (1334)Time elapsed: 0.017 s 0.27/0.46 % (1334)Instructions burned: 28 (million) 0.27/0.46 % (1334)------------------------------ 0.27/0.46 % (1334)------------------------------ 0.27/0.46 % (1347)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_1162 for (2399ds/3Mi) 0.27/0.46 % (1348)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_1162 for (2399ds/37Mi) 0.27/0.46 % (1347)Instruction limit reached! 0.27/0.46 % (1347)------------------------------ 0.27/0.46 % (1347)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.46 % (1347)Termination reason: Unknown 0.27/0.46 % (1347)Termination phase: shuffling 0.27/0.46 0.27/0.46 % (1347)Memory used [KB]: 1407 0.27/0.46 % (1347)Time elapsed: 0.004 s 0.27/0.46 % (1347)Instructions burned: 3 (million) 0.27/0.46 % (1347)------------------------------ 0.27/0.46 % (1347)------------------------------ 0.27/0.46 % (1349)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_1162 for (2399ds/15Mi) 0.27/0.47 % (1352)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_1162 for (2399ds/3Mi) 0.27/0.47 % (1349)Instruction limit reached! 0.27/0.47 % (1349)------------------------------ 0.27/0.47 % (1349)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.47 % (1349)Termination reason: Unknown 0.27/0.47 % (1349)Termination phase: shuffling 0.27/0.47 0.27/0.47 % (1349)Memory used [KB]: 1791 0.27/0.47 % (1349)Time elapsed: 0.013 s 0.27/0.47 % (1349)Instructions burned: 16 (million) 0.27/0.47 % (1349)------------------------------ 0.27/0.47 % (1349)------------------------------ 0.27/0.47 % (1352)Instruction limit reached! 0.27/0.47 % (1352)------------------------------ 0.27/0.47 % (1352)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.47 % (1352)Termination reason: Unknown 0.27/0.47 % (1352)Termination phase: shuffling 0.27/0.47 0.27/0.47 % (1352)Memory used [KB]: 1407 0.27/0.47 % (1352)Time elapsed: 0.004 s 0.27/0.47 % (1352)Instructions burned: 3 (million) 0.27/0.47 % (1352)------------------------------ 0.27/0.47 % (1352)------------------------------ 0.27/0.48 % (1353)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_1162 for (2399ds/1041Mi) 0.27/0.48 % (1355)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_1162 for (2399ds/7Mi) 0.27/0.48 % (1348)Instruction limit reached! 0.27/0.48 % (1348)------------------------------ 0.27/0.48 % (1348)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.48 % (1348)Termination reason: Unknown 0.27/0.48 % (1348)Termination phase: shuffling 0.27/0.48 0.27/0.48 % (1348)Memory used [KB]: 2302 0.27/0.48 % (1348)Time elapsed: 0.022 s 0.27/0.48 % (1348)Instructions burned: 38 (million) 0.27/0.48 % (1348)------------------------------ 0.27/0.48 % (1348)------------------------------ 0.27/0.48 % (1355)Instruction limit reached! 0.27/0.48 % (1355)------------------------------ 0.27/0.48 % (1355)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.48 % (1355)Termination reason: Unknown 0.27/0.48 % (1355)Termination phase: shuffling 0.27/0.48 0.27/0.48 % (1355)Memory used [KB]: 1535 0.27/0.48 % (1355)Time elapsed: 0.007 s 0.27/0.48 % (1355)Instructions burned: 8 (million) 0.27/0.48 % (1355)------------------------------ 0.27/0.48 % (1355)------------------------------ 0.27/0.49 % (1362)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_1162 for (2399ds/16Mi) 0.27/0.49 % (1363)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_1162 for (2399ds/3Mi) 0.27/0.49 % (1363)Instruction limit reached! 0.27/0.49 % (1363)------------------------------ 0.27/0.49 % (1363)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.49 % (1363)Termination reason: Unknown 0.27/0.49 % (1363)Termination phase: shuffling 0.27/0.49 0.27/0.49 % (1363)Memory used [KB]: 1407 0.27/0.49 % (1363)Time elapsed: 0.004 s 0.27/0.49 % (1363)Instructions burned: 3 (million) 0.27/0.49 % (1363)------------------------------ 0.27/0.49 % (1363)------------------------------ 0.27/0.50 % (1366)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_1162 for (2399ds/3Mi) 0.27/0.50 % (1362)Instruction limit reached! 0.27/0.50 % (1362)------------------------------ 0.27/0.50 % (1362)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.50 % (1362)Termination reason: Unknown 0.27/0.50 % (1362)Termination phase: shuffling 0.27/0.50 0.27/0.50 % (1362)Memory used [KB]: 1791 0.27/0.50 % (1362)Time elapsed: 0.011 s 0.27/0.50 % (1362)Instructions burned: 16 (million) 0.27/0.50 % (1362)------------------------------ 0.27/0.50 % (1362)------------------------------ 0.27/0.50 % (1366)Instruction limit reached! 0.27/0.50 % (1366)------------------------------ 0.27/0.50 % (1366)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.50 % (1366)Termination reason: Unknown 0.27/0.50 % (1366)Termination phase: shuffling 0.27/0.50 0.27/0.50 % (1366)Memory used [KB]: 1407 0.27/0.50 % (1366)Time elapsed: 0.004 s 0.27/0.50 % (1366)Instructions burned: 3 (million) 0.27/0.50 % (1366)------------------------------ 0.27/0.50 % (1366)------------------------------ 0.27/0.50 % (1367)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_1162 for (2399ds/7Mi) 0.27/0.51 % (1367)Instruction limit reached! 0.27/0.51 % (1367)------------------------------ 0.27/0.51 % (1367)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.51 % (1367)Termination reason: Unknown 0.27/0.51 % (1367)Termination phase: shuffling 0.27/0.51 0.27/0.51 % (1367)Memory used [KB]: 1535 0.27/0.51 % (1367)Time elapsed: 0.007 s 0.27/0.51 % (1367)Instructions burned: 8 (million) 0.27/0.51 % (1367)------------------------------ 0.27/0.51 % (1367)------------------------------ 0.27/0.51 % (1368)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_1162 for (2399ds/3Mi) 0.27/0.51 % (1368)Instruction limit reached! 0.27/0.51 % (1368)------------------------------ 0.27/0.51 % (1368)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.51 % (1368)Termination reason: Unknown 0.27/0.51 % (1368)Termination phase: shuffling 0.27/0.51 0.27/0.51 % (1368)Memory used [KB]: 1407 0.27/0.51 % (1368)Time elapsed: 0.004 s 0.27/0.51 % (1368)Instructions burned: 3 (million) 0.27/0.51 % (1368)------------------------------ 0.27/0.51 % (1368)------------------------------ 0.27/0.52 % (1374)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_1162 for (2399ds/4Mi) 0.27/0.52 % (1376)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_1162 for (2399ds/18Mi) 0.27/0.52 % (1374)Instruction limit reached! 0.27/0.52 % (1374)------------------------------ 0.27/0.52 % (1374)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.52 % (1374)Termination reason: Unknown 0.27/0.52 % (1374)Termination phase: shuffling 0.27/0.52 0.27/0.52 % (1374)Memory used [KB]: 1535 0.27/0.52 % (1374)Time elapsed: 0.005 s 0.27/0.52 % (1374)Instructions burned: 5 (million) 0.27/0.52 % (1374)------------------------------ 0.27/0.52 % (1374)------------------------------ 0.27/0.52 % (1382)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_1162 for (2399ds/710Mi) 0.27/0.53 % (1376)Instruction limit reached! 0.27/0.53 % (1376)------------------------------ 0.27/0.53 % (1376)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.53 % (1376)Termination reason: Unknown 0.27/0.53 % (1376)Termination phase: shuffling 0.27/0.53 0.27/0.53 % (1376)Memory used [KB]: 1791 0.27/0.53 % (1376)Time elapsed: 0.012 s 0.27/0.53 % (1376)Instructions burned: 19 (million) 0.27/0.53 % (1376)------------------------------ 0.27/0.53 % (1376)------------------------------ 0.27/0.53 % (1384)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_1162 for (2399ds/6Mi) 0.27/0.53 % (1384)Instruction limit reached! 0.27/0.53 % (1384)------------------------------ 0.27/0.53 % (1384)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.53 % (1384)Termination reason: Unknown 0.27/0.53 % (1384)Termination phase: shuffling 0.27/0.53 0.27/0.53 % (1384)Memory used [KB]: 1535 0.27/0.53 % (1384)Time elapsed: 0.006 s 0.27/0.53 % (1384)Instructions burned: 7 (million) 0.27/0.53 % (1384)------------------------------ 0.27/0.53 % (1384)------------------------------ 0.27/0.53 % (1391)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_1162 for (2398ds/902Mi) 0.27/0.54 % (1332)Instruction limit reached! 0.27/0.54 % (1332)------------------------------ 0.27/0.54 % (1332)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.54 % (1332)Termination reason: Unknown 0.27/0.54 % (1332)Termination phase: Saturation 0.27/0.54 0.27/0.54 % (1332)Memory used [KB]: 7675 0.27/0.54 % (1332)Time elapsed: 0.096 s 0.27/0.54 % (1332)Instructions burned: 183 (million) 0.27/0.54 % (1332)------------------------------ 0.27/0.54 % (1332)------------------------------ 0.27/0.54 % (1394)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_1162 for (2398ds/21Mi) 0.27/0.55 % (1395)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_1162 for (2398ds/5Mi) 0.27/0.55 % (1395)Instruction limit reached! 0.27/0.55 % (1395)------------------------------ 0.27/0.55 % (1395)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.55 % (1395)Termination reason: Unknown 0.27/0.55 % (1395)Termination phase: shuffling 0.27/0.55 0.27/0.55 % (1395)Memory used [KB]: 1535 0.27/0.55 % (1395)Time elapsed: 0.005 s 0.27/0.55 % (1395)Instructions burned: 6 (million) 0.27/0.55 % (1395)------------------------------ 0.27/0.55 % (1395)------------------------------ 0.27/0.55 % (1394)Instruction limit reached! 0.27/0.55 % (1394)------------------------------ 0.27/0.55 % (1394)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.55 % (1394)Termination reason: Unknown 0.27/0.55 % (1394)Termination phase: shuffling 0.27/0.55 0.27/0.55 % (1394)Memory used [KB]: 1918 0.27/0.55 % (1394)Time elapsed: 0.011 s 0.27/0.55 % (1394)Instructions burned: 21 (million) 0.27/0.55 % (1394)------------------------------ 0.27/0.55 % (1394)------------------------------ 0.27/0.55 % (1396)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_1162 for (2398ds/6Mi) 0.27/0.56 % (1396)Instruction limit reached! 0.27/0.56 % (1396)------------------------------ 0.27/0.56 % (1396)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.56 % (1396)Termination reason: Unknown 0.27/0.56 % (1396)Termination phase: shuffling 0.27/0.56 0.27/0.56 % (1396)Memory used [KB]: 1535 0.27/0.56 % (1396)Time elapsed: 0.004 s 0.27/0.56 % (1396)Instructions burned: 6 (million) 0.27/0.56 % (1396)------------------------------ 0.27/0.56 % (1396)------------------------------ 0.27/0.56 % (1408)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_1162 for (2398ds/779Mi) 0.27/0.56 % (1407)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_1162 for (2398ds/377Mi) 0.27/0.57 % (1414)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_1162 for (2398ds/19Mi) 0.27/0.57 % (1414)Instruction limit reached! 0.27/0.57 % (1414)------------------------------ 0.27/0.57 % (1414)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.57 % (1414)Termination reason: Unknown 0.27/0.57 % (1414)Termination phase: shuffling 0.27/0.57 0.27/0.57 % (1414)Memory used [KB]: 1791 0.27/0.57 % (1414)Time elapsed: 0.007 s 0.27/0.57 % (1414)Instructions burned: 19 (million) 0.27/0.57 % (1414)------------------------------ 0.27/0.57 % (1414)------------------------------ 1.24/0.58 % (1337)Instruction limit reached! 1.24/0.58 % (1337)------------------------------ 1.24/0.58 % (1337)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.24/0.58 % (1337)Termination reason: Unknown 1.24/0.58 % (1337)Termination phase: Saturation 1.24/0.58 1.24/0.58 % (1337)Memory used [KB]: 9594 1.24/0.58 % (1337)Time elapsed: 0.138 s 1.24/0.58 % (1337)Instructions burned: 277 (million) 1.24/0.58 % (1337)------------------------------ 1.24/0.58 % (1337)------------------------------ 1.24/0.58 % (1424)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_1162 for (2398ds/879Mi) 1.24/0.59 % (1425)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_1162 for (2398ds/17Mi) 1.24/0.60 % (1425)Instruction limit reached! 1.24/0.60 % (1425)------------------------------ 1.24/0.60 % (1425)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.24/0.60 % (1425)Termination reason: Unknown 1.24/0.60 % (1425)Termination phase: shuffling 1.24/0.60 1.24/0.60 % (1425)Memory used [KB]: 1791 1.24/0.60 % (1425)Time elapsed: 0.007 s 1.24/0.60 % (1425)Instructions burned: 19 (million) 1.24/0.60 % (1425)------------------------------ 1.24/0.60 % (1425)------------------------------ 1.38/0.61 % (1435)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_1162 for (2398ds/3Mi) 1.38/0.61 % (1435)Instruction limit reached! 1.38/0.61 % (1435)------------------------------ 1.38/0.61 % (1435)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.38/0.61 % (1435)Termination reason: Unknown 1.38/0.61 % (1435)Termination phase: shuffling 1.38/0.61 1.38/0.61 % (1435)Memory used [KB]: 1407 1.38/0.61 % (1435)Time elapsed: 0.003 s 1.38/0.61 % (1435)Instructions burned: 3 (million) 1.38/0.61 % (1435)------------------------------ 1.38/0.61 % (1435)------------------------------ 1.38/0.62 % (1442)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_1162 for (2397ds/30Mi) 1.38/0.63 % (1442)Instruction limit reached! 1.38/0.63 % (1442)------------------------------ 1.38/0.63 % (1442)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.38/0.63 % (1442)Termination reason: Unknown 1.38/0.63 % (1442)Termination phase: shuffling 1.38/0.63 1.38/0.63 % (1442)Memory used [KB]: 2046 1.38/0.63 % (1442)Time elapsed: 0.011 s 1.38/0.63 % (1442)Instructions burned: 30 (million) 1.38/0.63 % (1442)------------------------------ 1.38/0.63 % (1442)------------------------------ 1.61/0.64 % (1448)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_1162 for (2397ds/127Mi) 1.61/0.67 % (1448)Instruction limit reached! 1.61/0.67 % (1448)------------------------------ 1.61/0.67 % (1448)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.61/0.67 % (1448)Termination reason: Unknown 1.61/0.67 % (1448)Termination phase: Property scanning 1.61/0.67 1.61/0.67 % (1448)Memory used [KB]: 2558 1.61/0.67 % (1448)Time elapsed: 0.037 s 1.61/0.67 % (1448)Instructions burned: 128 (million) 1.61/0.67 % (1448)------------------------------ 1.61/0.67 % (1448)------------------------------ 1.61/0.68 % (1407)Instruction limit reached! 1.61/0.68 % (1407)------------------------------ 1.61/0.68 % (1407)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.61/0.68 % (1407)Termination reason: Unknown 1.61/0.68 % (1407)Termination phase: Saturation 1.61/0.68 1.61/0.68 % (1407)Memory used [KB]: 9466 1.61/0.68 % (1407)Time elapsed: 0.121 s 1.61/0.68 % (1407)Instructions burned: 377 (million) 1.61/0.68 % (1407)------------------------------ 1.61/0.68 % (1407)------------------------------ 1.61/0.68 % (1468)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_1162 for (2397ds/100Mi) 1.61/0.69 % (1472)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_1162 for (2397ds/3Mi) 1.61/0.69 % (1472)Instruction limit reached! 1.61/0.69 % (1472)------------------------------ 1.61/0.69 % (1472)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.61/0.69 % (1472)Termination reason: Unknown 1.61/0.69 % (1472)Termination phase: shuffling 1.61/0.69 1.61/0.69 % (1472)Memory used [KB]: 1407 1.61/0.69 % (1472)Time elapsed: 0.002 s 1.61/0.69 % (1472)Instructions burned: 3 (million) 1.61/0.69 % (1472)------------------------------ 1.61/0.69 % (1472)------------------------------ 1.61/0.70 % (1391)First to succeed. 1.61/0.70 % (1476)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_1162 for (2397ds/20Mi) 1.61/0.70 % (1391)Refutation found. Thanks to Tanya! 1.61/0.70 % SZS status Theorem for E---3.1_1162 1.61/0.70 % SZS output start Proof for E---3.1_1162 1.61/0.70 thf(func_def_0, type, in: $i > $i > $o). 1.61/0.70 thf(func_def_1, type, exu: ($i > $o) > $o). 1.61/0.70 thf(func_def_6, type, setadjoin: $i > $i > $i). 1.61/0.70 thf(func_def_8, type, powerset: $i > $i). 1.61/0.70 thf(func_def_10, type, setunion: $i > $i). 1.61/0.70 thf(func_def_19, type, descr: ($i > $o) > $i). 1.61/0.70 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 1.61/0.70 thf(func_def_26, type, prop2set: $o > $i). 1.61/0.70 thf(func_def_36, type, nonempty: $i > $o). 1.61/0.70 thf(func_def_69, type, set2prop: $i > $o). 1.61/0.70 thf(func_def_88, type, subset: $i > $i > $o). 1.61/0.70 thf(func_def_89, type, disjoint: $i > $i > $o). 1.61/0.70 thf(func_def_90, type, setsmeet: $i > $i > $o). 1.61/0.70 thf(func_def_114, type, binunion: $i > $i > $i). 1.61/0.70 thf(func_def_122, type, binintersect: $i > $i > $i). 1.61/0.70 thf(func_def_135, type, regular: $i > $o). 1.61/0.70 thf(func_def_136, type, setminus: $i > $i > $i). 1.61/0.70 thf(func_def_147, type, symdiff: $i > $i > $i). 1.61/0.70 thf(func_def_153, type, iskpair: $i > $o). 1.61/0.70 thf(func_def_158, type, kpair: $i > $i > $i). 1.61/0.70 thf(func_def_160, type, cartprod: $i > $i > $i). 1.61/0.70 thf(func_def_177, type, singleton: $i > $o). 1.61/0.70 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 1.61/0.70 thf(func_def_184, type, atmost1p: $i > $o). 1.61/0.70 thf(func_def_185, type, atleast2p: $i > $o). 1.61/0.70 thf(func_def_186, type, atmost2p: $i > $o). 1.61/0.70 thf(func_def_187, type, upairsetp: $i > $o). 1.61/0.70 thf(func_def_191, type, kfst: $i > $i). 1.61/0.70 thf(func_def_203, type, ksnd: $i > $i). 1.61/0.70 thf(func_def_213, type, breln: $i > $i > $i > $o). 1.61/0.70 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 1.61/0.70 thf(func_def_222, type, func: $i > $i > $i > $o). 1.61/0.70 thf(func_def_223, type, funcSet: $i > $i > $i). 1.61/0.70 thf(func_def_226, type, ap: $i > $i > $i > $i > $i). 1.61/0.70 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i). 1.61/0.70 thf(func_def_259, type, if: $i > $o > $i > $i > $i). 1.61/0.70 thf(func_def_296, type, sP1: $i > $i > $i > $i > $o). 1.61/0.70 thf(func_def_299, type, sP4: $i > $i > $o). 1.61/0.70 thf(func_def_300, type, sP5: $i > $o). 1.61/0.70 thf(func_def_301, type, sP6: $i > $i > $o). 1.61/0.70 thf(func_def_302, type, sP7: $i > $i > $o). 1.61/0.70 thf(func_def_305, type, sP10: $i > $i > $i > $o). 1.61/0.70 thf(func_def_306, type, sP11: $i > $o > $i > $i > $o). 1.61/0.70 thf(func_def_312, type, sK17: $i > $o). 1.61/0.70 thf(func_def_314, type, sK19: ($i > $o) > $i > $i). 1.61/0.70 thf(func_def_315, type, sK20: ($i > $o) > $i > $i). 1.61/0.70 thf(func_def_322, type, sK27: $i > $o). 1.61/0.70 thf(func_def_333, type, sK38: $i > $i). 1.61/0.70 thf(func_def_336, type, sK41: $i > $i > ($i > $i) > $i). 1.61/0.70 thf(func_def_340, type, sK45: $i > $i). 1.61/0.70 thf(func_def_345, type, sK50: $i > $o). 1.61/0.70 thf(func_def_347, type, sK52: $i > ($i > $o) > $i). 1.61/0.70 thf(func_def_360, type, sK65: $i > $o). 1.61/0.70 thf(func_def_361, type, sK66: $i > ($i > $o) > $i > $i). 1.61/0.70 thf(func_def_363, type, sK68: $i > $o). 1.61/0.70 thf(func_def_367, type, sK72: $i > $o). 1.61/0.70 thf(func_def_415, type, sK120: $i > $o). 1.61/0.70 thf(func_def_418, type, sK123: $i > ($i > $o) > $i). 1.61/0.70 thf(func_def_426, type, sK131: $i > $i). 1.61/0.70 thf(func_def_428, type, sK133: $i > ($i > $i) > $i > $i). 1.61/0.70 thf(func_def_431, type, sK136: $i > $i > $o). 1.61/0.70 thf(func_def_443, type, sK148: $i > $i > $i > $i > $i). 1.61/0.70 thf(func_def_444, type, sK149: $i > $i > $i > $i > $i). 1.61/0.70 thf(func_def_445, type, sK150: $i > $i > $i > $i > $i). 1.61/0.70 thf(func_def_446, type, sK151: $i > $i > $i > $i > $i). 1.61/0.70 thf(func_def_459, type, sK164: $i > $i > $i > $i > $i). 1.61/0.70 thf(func_def_460, type, sK165: $i > $i > $i > $i > $i). 1.61/0.70 thf(func_def_462, type, sK167: $i > $i > $o). 1.61/0.70 thf(func_def_487, type, sK192: $i > $i > $o). 1.61/0.70 thf(func_def_503, type, sK208: $i > $i > $i > $i > $i). 1.61/0.70 thf(func_def_508, type, sK213: $i > $i > $o). 1.61/0.70 thf(func_def_513, type, sK218: $i > ($i > $o) > $i). 1.61/0.70 thf(func_def_514, type, sK219: $i > $o). 1.61/0.70 thf(func_def_517, type, sK222: $i > $o). 1.61/0.70 thf(func_def_520, type, sK225: $i > ($i > $o) > $i). 1.61/0.70 thf(func_def_521, type, sK226: $i > $o). 1.61/0.70 thf(func_def_522, type, sK227: $i > $i). 1.61/0.70 thf(func_def_523, type, sK228: ($i > $o) > $i). 1.61/0.70 thf(func_def_532, type, sK237: $i > $o). 1.61/0.70 thf(func_def_533, type, sK238: $i > $o). 1.61/0.70 thf(func_def_534, type, sK239: ($i > $o) > ($i > $o) > $i > $i > $i). 1.61/0.70 thf(func_def_535, type, sK240: ($i > $o) > ($i > $o) > $i > $i > $i). 1.61/0.70 thf(func_def_545, type, sK250: $i > ($i > $i) > $i > $i). 1.61/0.70 thf(func_def_547, type, sK252: $i > $i). 1.61/0.70 thf(func_def_560, type, sK265: $i > $o). 1.61/0.70 thf(func_def_562, type, sK267: ($i > $o) > $i). 1.61/0.70 thf(func_def_563, type, sK268: ($i > $o) > $i). 1.61/0.70 thf(func_def_586, type, sK291: $i > $i). 1.61/0.70 thf(func_def_587, type, sK292: $i > $i > $i). 1.61/0.70 thf(func_def_590, type, sK295: $i > $o). 1.61/0.70 thf(func_def_593, type, sK298: $i > ($i > $o) > $i). 1.61/0.70 thf(func_def_594, type, sK299: $i > ($i > $o) > $i). 1.61/0.70 thf(func_def_596, type, sK301: $i > $o). 1.61/0.70 thf(func_def_599, type, sK304: $i > $i > $i > $i). 1.61/0.70 thf(func_def_600, type, sK305: $i > $i > $i > $i). 1.61/0.70 thf(func_def_604, type, sK309: $i > $o). 1.61/0.70 thf(func_def_609, type, sK314: $i > $i > $i). 1.61/0.70 thf(func_def_614, type, sK319: $i > $i > $o). 1.61/0.70 thf(func_def_619, type, sK324: $i > $i > $i). 1.61/0.70 thf(func_def_620, type, sK325: $i > $i > $i). 1.61/0.70 thf(func_def_621, type, sK326: $i > $i > $i). 1.61/0.70 thf(func_def_622, type, sK327: $i > $i > $i). 1.61/0.70 thf(func_def_623, type, sK328: $i > $i > $i > $i). 1.61/0.70 thf(func_def_624, type, sK329: $i > $i). 1.61/0.70 thf(func_def_625, type, sK330: $i > $i). 1.61/0.70 thf(func_def_626, type, sK331: $i > $i). 1.61/0.70 thf(func_def_627, type, sK332: $i > $i). 1.61/0.70 thf(func_def_628, type, sK333: $i > $i > $i). 1.61/0.70 thf(func_def_629, type, sK334: $i > $i > $i > $i). 1.61/0.70 thf(func_def_630, type, sK335: $i > $i > $i > $i). 1.61/0.70 thf(func_def_631, type, sK336: $i > $i > $i). 1.61/0.70 thf(func_def_632, type, sK337: $i > $i > $i). 1.61/0.70 thf(func_def_633, type, sK338: $i > $i). 1.61/0.70 thf(func_def_634, type, sK339: $i > $i > $i). 1.61/0.70 thf(func_def_636, type, sK341: $i > $i). 1.61/0.70 thf(func_def_637, type, sK342: $i > $i). 1.61/0.70 thf(func_def_645, type, sK350: $i > $o). 1.61/0.70 thf(func_def_652, type, sK357: $i > $i > $i). 1.61/0.70 thf(func_def_665, type, sK370: $i > $o). 1.61/0.70 thf(func_def_667, type, sK372: ($i > $o) > $i > $i > $i > $i). 1.61/0.70 thf(func_def_668, type, sK373: ($i > $o) > $i > $i > $i > $i). 1.61/0.70 thf(func_def_669, type, sK374: $i > $i > $i). 1.61/0.70 thf(func_def_676, type, sK381: $i > $i). 1.61/0.70 thf(func_def_677, type, sK382: $i > $i). 1.61/0.70 thf(func_def_688, type, sK393: $i > $o). 1.61/0.70 thf(func_def_689, type, sK394: $i > $i). 1.61/0.70 thf(func_def_690, type, sK395: ($i > $o) > $i). 1.61/0.70 thf(func_def_694, type, sK399: $i > $i > $i). 1.61/0.70 thf(func_def_695, type, sK400: $i > $i > $i). 1.61/0.70 thf(func_def_696, type, sK401: $i > $i > $i). 1.61/0.70 thf(func_def_706, type, sK411: $i > $i > $o). 1.61/0.70 thf(func_def_708, type, sK413: $i > $i). 1.61/0.70 thf(func_def_709, type, sK414: $i > $i). 1.61/0.70 thf(func_def_710, type, sK415: $i > ($i > $i > $o) > $i). 1.61/0.70 thf(func_def_711, type, sK416: $i > $i > ($i > $i > $o) > $i). 1.61/0.70 thf(func_def_712, type, sK417: $i > ($i > $i > $o) > $i). 1.61/0.70 thf(func_def_721, type, sK426: ($i > $i) > $i > $i > $i). 1.61/0.70 thf(func_def_724, type, sK429: $i > $i). 1.61/0.70 thf(func_def_736, type, sK441: $i > $o). 1.61/0.70 thf(func_def_752, type, sK457: ($i > $o) > ($i > $o) > $i). 1.61/0.70 thf(func_def_753, type, sK458: ($i > $o) > ($i > $o) > $i). 1.61/0.70 thf(func_def_754, type, sK459: $i > $o). 1.61/0.70 thf(func_def_755, type, sK460: $i > $o). 1.61/0.70 thf(func_def_774, type, sK479: $i > $o). 1.61/0.70 thf(func_def_775, type, sK480: ($i > $o) > $i > $i). 1.61/0.70 thf(func_def_786, type, sK491: $i > $i > $i). 1.61/0.70 thf(func_def_810, type, sK515: $i > $i > $i > $i > $i). 1.61/0.70 thf(func_def_822, type, sK527: $i > $i > $i). 1.61/0.70 thf(func_def_824, type, sK529: $i > $o). 1.61/0.70 thf(func_def_834, type, sK539: $i > $o). 1.61/0.70 thf(func_def_837, type, sK542: $i > ($i > $o) > $i). 1.61/0.70 thf(func_def_841, type, sK546: $i > $i > $i > $i). 1.61/0.70 thf(func_def_869, type, sK574: $i > $i). 1.61/0.70 thf(func_def_872, type, sK577: $i > $o). 1.61/0.70 thf(func_def_875, type, sK580: $i > ($i > $o) > $i). 1.61/0.70 thf(func_def_877, type, sK582: $i > $i). 1.61/0.70 thf(func_def_887, type, sK592: $i > $o). 1.61/0.70 thf(func_def_901, type, sK606: $i > $i > $i > $i). 1.61/0.70 thf(func_def_902, type, sK607: $i > $i > $i > $i). 1.61/0.70 thf(func_def_908, type, sK613: $i > $o). 1.61/0.70 thf(func_def_918, type, sK623: $i > $o). 1.61/0.70 thf(func_def_928, type, sK633: $o > $i > $i > $i). 1.61/0.70 thf(func_def_941, type, sK646: ($i > $o) > ($i > $o) > $i). 1.61/0.70 thf(func_def_942, type, sK647: ($i > $o) > ($i > $o) > $i). 1.61/0.70 thf(func_def_943, type, sK648: $i > $o). 1.61/0.70 thf(func_def_944, type, sK649: $i > $o). 1.61/0.70 thf(func_def_960, type, sK665: $i > $i). 1.61/0.70 thf(func_def_963, type, sK668: $i > $i > ($i > $i) > $i). 1.61/0.70 thf(func_def_967, type, sK672: $i > ($i > $o) > $i). 1.61/0.70 thf(func_def_968, type, sK673: $i > $o). 1.61/0.70 thf(func_def_975, type, sK680: ($i > $o) > $i > $i). 1.61/0.70 thf(func_def_977, type, sK682: $i > $o). 1.61/0.70 thf(func_def_979, type, sK684: $i > $i > $o). 1.61/0.70 thf(func_def_982, type, sK687: $i > $o). 1.61/0.70 thf(func_def_983, type, sK688: ($i > $o) > $i). 1.61/0.70 thf(func_def_989, type, sK694: $i > $i). 1.61/0.70 thf(func_def_991, type, sK696: $i > $i > $i > $i > $i). 1.61/0.70 thf(func_def_996, type, sK701: $i > $i). 1.61/0.70 thf(func_def_999, type, sK704: $i > $i > ($i > $i) > $i). 1.61/0.70 thf(func_def_1005, type, sK710: $i > $o). 1.61/0.70 thf(func_def_1014, type, sK719: ($i > $o) > $i > $i > $i > $i). 1.61/0.70 thf(func_def_1015, type, sK720: ($i > $o) > $i > $i > $i > $i). 1.61/0.70 thf(func_def_1019, type, sK724: $i > $o). 1.61/0.70 thf(func_def_1024, type, sK729: $i > $i > $i > $i). 1.61/0.70 thf(func_def_1041, type, sK746: $i > $i > $o). 1.61/0.70 thf(func_def_1054, type, sK759: $i > $i > $i). 1.61/0.70 thf(func_def_1065, type, sK770: $i > $o). 1.61/0.70 thf(func_def_1068, type, ph773: !>[X0: $tType]:(X0)). 1.61/0.70 thf(f5938,plain,( 1.61/0.70 $false), 1.61/0.70 inference(avatar_sat_refutation,[],[f3852,f5931])). 1.61/0.70 thf(f5931,plain,( 1.61/0.70 ~spl772_11), 1.61/0.70 inference(avatar_contradiction_clause,[],[f5930])). 1.61/0.70 thf(f5930,plain,( 1.61/0.70 $false | ~spl772_11), 1.61/0.70 inference(trivial_inequality_removal,[],[f5919])). 1.61/0.70 thf(f5919,plain,( 1.61/0.70 ($true != $true) | ~spl772_11), 1.61/0.70 inference(superposition,[],[f3902,f3167])). 1.61/0.70 thf(f3167,plain,( 1.61/0.70 ($true = (in @ sK677 @ sK675))), 1.61/0.70 inference(cnf_transformation,[],[f2110])). 1.61/0.70 thf(f2110,plain,( 1.61/0.70 (setunionsingleton1 = $true) & (emptyInPowerset = $true) & (ex1I2 = $true) & (setminusSubset1 = $true) & (singletoninpowunion = $true) & (singletonprop = $true) & (replAx = $true) & (kpairiskpair = $true) & (exuEu = $true) & (dsetconstrI = $true) & (binintersectER = $true) & (iffalseProp1 = $true) & (setoftrueEq = $true) & (upairset2E = $true) & (ubforcartprodlem2 = $true) & (setunionI = $true) & (upairsetIL = $true) & (contrasubsetT = $true) & (setadjoinIR = $true) & (binintersectSubset2 = $true) & (binunionT_lem = $true) & (complementT_lem = $true) & (exuI2 = $true) & (subbreln = $true) & (setunionE2 = $true) & (setukpairinjR12 = $true) & (quantDeMorgan1 = $true) & (setextsub = $true) & (omega__Cong = $true) & (brelnall2 = $true) & (descrp = $true) & (setextAx = $true) & (lamp = $true) & (brelnall1 = $true) & (foundationAx = $true) & (binintersectTELcontra = $true) & (notequalI2 = $true) & (iffalseProp2 = $true) & (ksndpairEq = $true) & (in__Cong = $true) & (setminusLsub = $true) & (quantDeMorgan3 = $true) & (disjointsetsI1 = $true) & (emptysetsubset = $true) & (subsetTI = $true) & (eqimpsubset1 = $true) & (cartprodfstin = $true) & (setminusSubset2 = $true) & (lamProp = $true) & (binintersectSubset5 = $true) & (powersetE = $true) & (cartprodmempair1 = $true) & (eqimpsubset2 = $true) & (funcext2 = $true) & (setminusT_lem = $true) & (binintersectLsub = $true) & (setukpairinjL2 = $true) & (ubforcartprodlem1 = $true) & (emptysetAx = $true) & (binunionEcases = $true) & (setukpairIR = $true) & (symdiffIneg2 = $true) & (binintersectRsub = $true) & (binunionIL = $true) & (contrasubsetT3 = $true) & (setunionsingleton2 = $true) & (setext = $true) & (subsetE = $true) & (ap2apEq1 = $true) & (setukpairinjL1 = $true) & (ksndsingleton = $true) & (descr__Cong = $true) & (dpsetconstrERa = $true) & (funcImageSingleton = $true) & (upairinpowunion = $true) & (ifp = $true) & (powerset__Cong = $true) & (symdiffIneg1 = $true) & (iftrueorfalse = $true) & (theprop = $true) & (quantDeMorgan2 = $true) & (funcGraphProp2 = $true) & (complementTE1 = $true) & (funcGraphProp3 = $true) & (upairset2IR = $true) & (setukpairinjL = $true) & (contrasubsetT1 = $true) & (cartprodpairmemEL = $true) & (singletonsuniq = $true) & (setadjoinE = $true) & (powersetE1 = $true) & (emptyinPowerset = $true) & (app = $true) & (ubforcartprodlem3 = $true) & (notinsingleton = $true) & (kpairp = $true) & (subsetE2 = $true) & (powersetI = $true) & (apProp = $true) & (powersetI1 = $true) & (beta1 = $true) & (dpsetconstrEL1 = $true) & (inPowerset = $true) & (binintersectSubset3 = $true) & (binintersectSubset4 = $true) & (setadjoinSub2 = $true) & (symdiffI1 = $true) & (bs114d = $true) & (binintersectT_lem = $true) & (complementTI1 = $true) & (prop2setI = $true) & (cartprodpairin = $true) & (dsetconstr__Cong = $true) & (cartprodsndin = $true) & (notinemptyset = $true) & (funcext = $true) & (quantDeMorgan4 = $true) & (subsetI1 = $true) & (ap2apEq2 = $true) & (setminusERneg = $true) & (cartprodpairsurjEq = $true) & (infuncsetfunc = $true) & (setminusILneg = $true) & (binintersectSubset1 = $true) & (subsetI2 = $true) & (vacuousDall = $true) & (lam2lamEq = $true) & (iffalse = $true) & (exu__Cong = $true) & (binunionLsub = $true) & (nonemptyI = $true) & (kfstsingleton = $true) & (nonemptyE1 = $true) & (funcinfuncset = $true) & (uniqinunit = $true) & (binintersectTERcontra = $true) & (binintersectEL = $true) & (setminusI = $true) & (iftrueProp2 = $true) & (subsetTrans = $true) & (upairsetE = $true) & (eqinunit = $true) & (powersetTE1 = $true) & (powersetT_lem = $true) & (notequalI1 = $true) & (setadjoinIL = $true) & (setadjoinOr = $true) & (emptyI = $true) & (dpsetconstrI = $true) & (emptyinunitempty = $true) & (theeq = $true) & (binunionRsub = $true) & (cartprodfstpairEq = $true) & (contrasubsetT2 = $true) & (subsetemptysetimpeq = $true) & (exuE3u = $true) & (omegaSAx = $true) & (singletonsubset = $true) & (subsetRefl = $true) & (setunionsingleton = $true) & (setadjoinSub = $true) & (exuE2 = $true) & (emptyE1 = $true) & (ex1I = $true) & (emptyset__Cong = $true) & (iftrueProp1 = $true) & (ifSingleton = $true) & (symdiffE = $true) & (setminusEL = $true) & (noeltsimpempty = $true) & (kfstpairEq = $true) & (setunion__Cong = $true) & (powersetAx = $true) & (binunionE = $true) & (nonemptyI1 = $true) & (funcGraphProp4 = $true) & (lam2p = $true) & (funcGraphProp1 = $true) & (sepInPowerset = $true) & (cartprodmempair = $true) & (upairsetIR = $true) & (setunionAx = $true) & (dpsetconstrEL2 = $true) & (cartprodpairmemER = $true) & (exuI1 = $true) & (cartprodmempaircEq = $true) & (singletoninpowerset = $true) & (dsetconstrEL = $true) & (setminusELneg = $true) & (dpsetconstrSub = $true) & (dpsetconstrER = $true) & (emptysetimpfalse = $true) & (binunionIR = $true) & (powersetsubset = $true) & (ex1E1 = $true) & (setukpairinjR2 = $true) & (cartprodsndpairEq = $true) & (setminusIRneg = $true) & (inCongP = $true) & (exuE1 = $true) & (setukpairinjR1 = $true) & (exuE3e = $true) & (exuI3 = $true) & (kpairsurjEq = $true) & (binintersectI = $true) & (ex1E2 = $true) & (setminusER = $true) & (wellorderingAx = $true) & (subset2powerset = $true) & (setadjoinAx = $true) & (beta2 = $true) & (setextT = $true) & (eta1 = $true) & (prop2setE = $true) & (prop2set2propI = $true) & (setOfPairsIsBReln = $true) & (upairsubunion = $true) & (sepSubset = $true) & (setunionE = $true) & (setukpairinjR11 = $true) & (iftrue = $true) & (funcextLem = $true) & (notdexE = $true) & ((($true = (in @ sK677 @ sK675)) & ($true != (in @ sK677 @ (setminus @ sK676 @ (setminus @ sK676 @ sK675)))) & ($true = (in @ sK677 @ sK676))) & ($true = (in @ sK675 @ (powerset @ sK676)))) & (nonemptyImpWitness = $true) & (notdallE = $true) & (omega0Ax = $true) & (secondinupair = $true) & (setadjoin__Cong = $true) & (setukpairIL = $true) & (eqbreln = $true) & (eta2 = $true) & (upairequniteq = $true) & (dsetconstrER = $true) & (symdiffI2 = $true) & (ap2p = $true) & (emptysetE = $true) & (subPowSU = $true) & (singletonsswitch = $true) & (notsubsetI = $true) & (omegaIndAx = $true) & (setukpairinjR = $true) & (powersetTI1 = $true) & (setbeta = $true)), 1.61/0.70 inference(skolemisation,[status(esa),new_symbols(skolem,[sK675,sK676,sK677])],[f1061,f2109,f2108])). 1.61/0.70 thf(f2108,plain,( 1.61/0.70 ? [X0,X1] : (? [X2] : (($true = (in @ X2 @ X0)) & ($true != (in @ X2 @ (setminus @ X1 @ (setminus @ X1 @ X0)))) & ($true = (in @ X2 @ X1))) & ((in @ X0 @ (powerset @ X1)) = $true)) => (? [X2] : (((in @ X2 @ sK675) = $true) & ($true != (in @ X2 @ (setminus @ sK676 @ (setminus @ sK676 @ sK675)))) & ($true = (in @ X2 @ sK676))) & ($true = (in @ sK675 @ (powerset @ sK676))))), 1.61/0.70 introduced(choice_axiom,[])). 1.61/0.70 thf(f2109,plain,( 1.61/0.70 ? [X2] : (((in @ X2 @ sK675) = $true) & ($true != (in @ X2 @ (setminus @ sK676 @ (setminus @ sK676 @ sK675)))) & ($true = (in @ X2 @ sK676))) => (($true = (in @ sK677 @ sK675)) & ($true != (in @ sK677 @ (setminus @ sK676 @ (setminus @ sK676 @ sK675)))) & ($true = (in @ sK677 @ sK676)))), 1.61/0.70 introduced(choice_axiom,[])). 1.61/0.70 thf(f1061,plain,( 1.61/0.70 (setunionsingleton1 = $true) & (emptyInPowerset = $true) & (ex1I2 = $true) & (setminusSubset1 = $true) & (singletoninpowunion = $true) & (singletonprop = $true) & (replAx = $true) & (kpairiskpair = $true) & (exuEu = $true) & (dsetconstrI = $true) & (binintersectER = $true) & (iffalseProp1 = $true) & (setoftrueEq = $true) & (upairset2E = $true) & (ubforcartprodlem2 = $true) & (setunionI = $true) & (upairsetIL = $true) & (contrasubsetT = $true) & (setadjoinIR = $true) & (binintersectSubset2 = $true) & (binunionT_lem = $true) & (complementT_lem = $true) & (exuI2 = $true) & (subbreln = $true) & (setunionE2 = $true) & (setukpairinjR12 = $true) & (quantDeMorgan1 = $true) & (setextsub = $true) & (omega__Cong = $true) & (brelnall2 = $true) & (descrp = $true) & (setextAx = $true) & (lamp = $true) & (brelnall1 = $true) & (foundationAx = $true) & (binintersectTELcontra = $true) & (notequalI2 = $true) & (iffalseProp2 = $true) & (ksndpairEq = $true) & (in__Cong = $true) & (setminusLsub = $true) & (quantDeMorgan3 = $true) & (disjointsetsI1 = $true) & (emptysetsubset = $true) & (subsetTI = $true) & (eqimpsubset1 = $true) & (cartprodfstin = $true) & (setminusSubset2 = $true) & (lamProp = $true) & (binintersectSubset5 = $true) & (powersetE = $true) & (cartprodmempair1 = $true) & (eqimpsubset2 = $true) & (funcext2 = $true) & (setminusT_lem = $true) & (binintersectLsub = $true) & (setukpairinjL2 = $true) & (ubforcartprodlem1 = $true) & (emptysetAx = $true) & (binunionEcases = $true) & (setukpairIR = $true) & (symdiffIneg2 = $true) & (binintersectRsub = $true) & (binunionIL = $true) & (contrasubsetT3 = $true) & (setunionsingleton2 = $true) & (setext = $true) & (subsetE = $true) & (ap2apEq1 = $true) & (setukpairinjL1 = $true) & (ksndsingleton = $true) & (descr__Cong = $true) & (dpsetconstrERa = $true) & (funcImageSingleton = $true) & (upairinpowunion = $true) & (ifp = $true) & (powerset__Cong = $true) & (symdiffIneg1 = $true) & (iftrueorfalse = $true) & (theprop = $true) & (quantDeMorgan2 = $true) & (funcGraphProp2 = $true) & (complementTE1 = $true) & (funcGraphProp3 = $true) & (upairset2IR = $true) & (setukpairinjL = $true) & (contrasubsetT1 = $true) & (cartprodpairmemEL = $true) & (singletonsuniq = $true) & (setadjoinE = $true) & (powersetE1 = $true) & (emptyinPowerset = $true) & (app = $true) & (ubforcartprodlem3 = $true) & (notinsingleton = $true) & (kpairp = $true) & (subsetE2 = $true) & (powersetI = $true) & (apProp = $true) & (powersetI1 = $true) & (beta1 = $true) & (dpsetconstrEL1 = $true) & (inPowerset = $true) & (binintersectSubset3 = $true) & (binintersectSubset4 = $true) & (setadjoinSub2 = $true) & (symdiffI1 = $true) & (bs114d = $true) & (binintersectT_lem = $true) & (complementTI1 = $true) & (prop2setI = $true) & (cartprodpairin = $true) & (dsetconstr__Cong = $true) & (cartprodsndin = $true) & (notinemptyset = $true) & (funcext = $true) & (quantDeMorgan4 = $true) & (subsetI1 = $true) & (ap2apEq2 = $true) & (setminusERneg = $true) & (cartprodpairsurjEq = $true) & (infuncsetfunc = $true) & (setminusILneg = $true) & (binintersectSubset1 = $true) & (subsetI2 = $true) & (vacuousDall = $true) & (lam2lamEq = $true) & (iffalse = $true) & (exu__Cong = $true) & (binunionLsub = $true) & (nonemptyI = $true) & (kfstsingleton = $true) & (nonemptyE1 = $true) & (funcinfuncset = $true) & (uniqinunit = $true) & (binintersectTERcontra = $true) & (binintersectEL = $true) & (setminusI = $true) & (iftrueProp2 = $true) & (subsetTrans = $true) & (upairsetE = $true) & (eqinunit = $true) & (powersetTE1 = $true) & (powersetT_lem = $true) & (notequalI1 = $true) & (setadjoinIL = $true) & (setadjoinOr = $true) & (emptyI = $true) & (dpsetconstrI = $true) & (emptyinunitempty = $true) & (theeq = $true) & (binunionRsub = $true) & (cartprodfstpairEq = $true) & (contrasubsetT2 = $true) & (subsetemptysetimpeq = $true) & (exuE3u = $true) & (omegaSAx = $true) & (singletonsubset = $true) & (subsetRefl = $true) & (setunionsingleton = $true) & (setadjoinSub = $true) & (exuE2 = $true) & (emptyE1 = $true) & (ex1I = $true) & (emptyset__Cong = $true) & (iftrueProp1 = $true) & (ifSingleton = $true) & (symdiffE = $true) & (setminusEL = $true) & (noeltsimpempty = $true) & (kfstpairEq = $true) & (setunion__Cong = $true) & (powersetAx = $true) & (binunionE = $true) & (nonemptyI1 = $true) & (funcGraphProp4 = $true) & (lam2p = $true) & (funcGraphProp1 = $true) & (sepInPowerset = $true) & (cartprodmempair = $true) & (upairsetIR = $true) & (setunionAx = $true) & (dpsetconstrEL2 = $true) & (cartprodpairmemER = $true) & (exuI1 = $true) & (cartprodmempaircEq = $true) & (singletoninpowerset = $true) & (dsetconstrEL = $true) & (setminusELneg = $true) & (dpsetconstrSub = $true) & (dpsetconstrER = $true) & (emptysetimpfalse = $true) & (binunionIR = $true) & (powersetsubset = $true) & (ex1E1 = $true) & (setukpairinjR2 = $true) & (cartprodsndpairEq = $true) & (setminusIRneg = $true) & (inCongP = $true) & (exuE1 = $true) & (setukpairinjR1 = $true) & (exuE3e = $true) & (exuI3 = $true) & (kpairsurjEq = $true) & (binintersectI = $true) & (ex1E2 = $true) & (setminusER = $true) & (wellorderingAx = $true) & (subset2powerset = $true) & (setadjoinAx = $true) & (beta2 = $true) & (setextT = $true) & (eta1 = $true) & (prop2setE = $true) & (prop2set2propI = $true) & (setOfPairsIsBReln = $true) & (upairsubunion = $true) & (sepSubset = $true) & (setunionE = $true) & (setukpairinjR11 = $true) & (iftrue = $true) & (funcextLem = $true) & (notdexE = $true) & ? [X0,X1] : (? [X2] : (($true = (in @ X2 @ X0)) & ($true != (in @ X2 @ (setminus @ X1 @ (setminus @ X1 @ X0)))) & ($true = (in @ X2 @ X1))) & ((in @ X0 @ (powerset @ X1)) = $true)) & (nonemptyImpWitness = $true) & (notdallE = $true) & (omega0Ax = $true) & (secondinupair = $true) & (setadjoin__Cong = $true) & (setukpairIL = $true) & (eqbreln = $true) & (eta2 = $true) & (upairequniteq = $true) & (dsetconstrER = $true) & (symdiffI2 = $true) & (ap2p = $true) & (emptysetE = $true) & (subPowSU = $true) & (singletonsswitch = $true) & (notsubsetI = $true) & (omegaIndAx = $true) & (setukpairinjR = $true) & (powersetTI1 = $true) & (setbeta = $true)), 1.61/0.70 inference(flattening,[],[f1060])). 1.61/0.70 thf(f1060,plain,( 1.61/0.70 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : ((($true != (in @ X2 @ (setminus @ X1 @ (setminus @ X1 @ X0)))) & ($true = (in @ X2 @ X0))) & ($true = (in @ X2 @ X1))) & ((in @ X0 @ (powerset @ X1)) = $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)), 1.61/0.70 inference(ennf_transformation,[],[f605])). 1.61/0.70 thf(f605,plain,( 1.61/0.70 ~((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) => ! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) => ! [X2] : (($true = (in @ X2 @ X1)) => (($true = (in @ X2 @ X0)) => ($true = (in @ X2 @ (setminus @ X1 @ (setminus @ X1 @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.61/0.70 inference(fool_elimination,[],[f604])). 1.61/0.70 thf(f604,plain,( 1.61/0.70 ~(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 => ! [X0,X1] : ((in @ X0 @ (powerset @ X1)) => ! [X2] : ((in @ X2 @ X1) => ((in @ X2 @ X0) => (in @ X2 @ (setminus @ X1 @ (setminus @ X1 @ X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.61/0.70 inference(rectify,[],[f249])). 1.61/0.70 thf(f249,negated_conjecture,( 1.61/0.70 ~(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 => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ X11) => (in @ X1 @ (setminus @ X3 @ (setminus @ X3 @ X11)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.61/0.70 inference(negated_conjecture,[],[f248])). 1.61/0.70 thf(f248,conjecture,( 1.61/0.70 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 => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ X11) => (in @ X1 @ (setminus @ X3 @ (setminus @ X3 @ X11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.61/0.70 file('/export/starexec/sandbox2/tmp/tmp.3BzYtAG4Yc/E---3.1_1162.p',doubleComplementI1)). 1.61/0.70 thf(f3902,plain,( 1.61/0.70 ($true != (in @ sK677 @ sK675)) | ~spl772_11), 1.61/0.70 inference(trivial_inequality_removal,[],[f3901])). 1.61/0.70 thf(f3901,plain,( 1.61/0.70 ($true != (in @ sK677 @ sK675)) | ($true != $true) | ~spl772_11), 1.61/0.70 inference(forward_demodulation,[],[f3894,f3184])). 1.61/0.70 thf(f3184,plain,( 1.61/0.70 (setminusER = $true)), 1.61/0.70 inference(cnf_transformation,[],[f2110])). 1.61/0.70 thf(f3894,plain,( 1.61/0.70 ($true != (in @ sK677 @ sK675)) | (setminusER != $true) | ~spl772_11), 1.61/0.70 inference(trivial_inequality_removal,[],[f3886])). 1.61/0.70 thf(f3886,plain,( 1.61/0.70 ($true != (in @ sK677 @ sK675)) | ($true != $true) | (setminusER != $true) | ~spl772_11), 1.61/0.70 inference(superposition,[],[f3454,f3819])). 1.61/0.70 thf(f3819,plain,( 1.61/0.70 ($true = (in @ sK677 @ (setminus @ sK676 @ sK675))) | ~spl772_11), 1.61/0.70 inference(avatar_component_clause,[],[f3817])). 1.61/0.70 thf(f3817,plain,( 1.61/0.70 spl772_11 <=> ($true = (in @ sK677 @ (setminus @ sK676 @ sK675)))), 1.61/0.70 introduced(avatar_definition,[new_symbols(naming,[spl772_11])])). 1.61/0.70 thf(f3454,plain,( 1.61/0.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ X1 @ (setminus @ X2 @ X0))) | ($true != (in @ X1 @ X0)) | (setminusER != $true)) )), 1.61/0.70 inference(cnf_transformation,[],[f2190])). 1.61/0.70 thf(f2190,plain,( 1.61/0.70 (! [X0,X1,X2] : (($true != (in @ X1 @ X0)) | ($true != (in @ X1 @ (setminus @ X2 @ X0)))) | (setminusER != $true)) & ((setminusER = $true) | (($true = (in @ sK727 @ sK726)) & ((in @ sK727 @ (setminus @ sK728 @ sK726)) = $true)))), 1.61/0.70 inference(skolemisation,[status(esa),new_symbols(skolem,[sK726,sK727,sK728])],[f2188,f2189])). 1.61/0.70 thf(f2189,plain,( 1.61/0.70 ? [X3,X4,X5] : (((in @ X4 @ X3) = $true) & ((in @ X4 @ (setminus @ X5 @ X3)) = $true)) => (($true = (in @ sK727 @ sK726)) & ((in @ sK727 @ (setminus @ sK728 @ sK726)) = $true))), 1.61/0.70 introduced(choice_axiom,[])). 1.61/0.70 thf(f2188,plain,( 1.61/0.70 (! [X0,X1,X2] : (($true != (in @ X1 @ X0)) | ($true != (in @ X1 @ (setminus @ X2 @ X0)))) | (setminusER != $true)) & ((setminusER = $true) | ? [X3,X4,X5] : (((in @ X4 @ X3) = $true) & ((in @ X4 @ (setminus @ X5 @ X3)) = $true)))), 1.61/0.70 inference(rectify,[],[f2187])). 1.61/0.70 thf(f2187,plain,( 1.61/0.70 (! [X0,X1,X2] : (($true != (in @ X1 @ X0)) | ($true != (in @ X1 @ (setminus @ X2 @ X0)))) | (setminusER != $true)) & ((setminusER = $true) | ? [X0,X1,X2] : (($true = (in @ X1 @ X0)) & ($true = (in @ X1 @ (setminus @ X2 @ X0)))))), 1.61/0.70 inference(nnf_transformation,[],[f1025])). 1.61/0.70 thf(f1025,plain,( 1.61/0.70 ! [X0,X1,X2] : (($true != (in @ X1 @ X0)) | ($true != (in @ X1 @ (setminus @ X2 @ X0)))) <=> (setminusER = $true)), 1.61/0.70 inference(ennf_transformation,[],[f773])). 1.61/0.70 thf(f773,plain,( 1.61/0.70 ! [X0,X1,X2] : (($true = (in @ X1 @ (setminus @ X2 @ X0))) => ($true != (in @ X1 @ X0))) <=> (setminusER = $true)), 1.61/0.70 inference(flattening,[],[f613])). 1.61/0.70 thf(f613,plain,( 1.61/0.70 ! [X0,X1,X2] : (($true = (in @ X1 @ (setminus @ X2 @ X0))) => ~($true = (in @ X1 @ X0))) <=> (setminusER = $true)), 1.61/0.70 inference(fool_elimination,[],[f612])). 1.61/0.70 thf(f612,plain,( 1.61/0.70 (! [X0,X1,X2] : ((in @ X1 @ (setminus @ X2 @ X0)) => ~(in @ X1 @ X0)) = setminusER)), 1.61/0.70 inference(rectify,[],[f122])). 1.61/0.70 thf(f122,axiom,( 1.61/0.70 (! [X4,X1,X3] : ((in @ X1 @ (setminus @ X3 @ X4)) => ~(in @ X1 @ X4)) = setminusER)), 1.61/0.70 file('/export/starexec/sandbox2/tmp/tmp.3BzYtAG4Yc/E---3.1_1162.p',setminusER)). 1.61/0.70 thf(f3852,plain,( 1.61/0.70 spl772_11), 1.61/0.70 inference(avatar_split_clause,[],[f3798,f3817])). 1.61/0.70 thf(f3798,plain,( 1.61/0.70 ($true = (in @ sK677 @ (setminus @ sK676 @ sK675)))), 1.61/0.70 inference(trivial_inequality_removal,[],[f3797])). 1.61/0.70 thf(f3797,plain,( 1.61/0.70 ($true != $true) | ($true = (in @ sK677 @ (setminus @ sK676 @ sK675)))), 1.61/0.70 inference(forward_demodulation,[],[f3796,f3165])). 1.61/0.70 thf(f3165,plain,( 1.61/0.70 ($true = (in @ sK677 @ sK676))), 1.61/0.70 inference(cnf_transformation,[],[f2110])). 1.61/0.70 thf(f3796,plain,( 1.61/0.70 ($true = (in @ sK677 @ (setminus @ sK676 @ sK675))) | ($true != (in @ sK677 @ sK676))), 1.61/0.70 inference(trivial_inequality_removal,[],[f3795])). 1.61/0.70 thf(f3795,plain,( 1.61/0.70 ($true != (in @ sK677 @ sK676)) | ($true = (in @ sK677 @ (setminus @ sK676 @ sK675))) | ($true != $true)), 1.61/0.70 inference(forward_demodulation,[],[f3766,f3202])). 1.61/0.70 thf(f3202,plain,( 1.61/0.70 (setminusELneg = $true)), 1.61/0.70 inference(cnf_transformation,[],[f2110])). 1.61/0.70 thf(f3766,plain,( 1.61/0.70 (setminusELneg != $true) | ($true != (in @ sK677 @ sK676)) | ($true = (in @ sK677 @ (setminus @ sK676 @ sK675)))), 1.61/0.70 inference(trivial_inequality_removal,[],[f3754])). 1.61/0.70 thf(f3754,plain,( 1.61/0.70 ($true != $true) | (setminusELneg != $true) | ($true != (in @ sK677 @ sK676)) | ($true = (in @ sK677 @ (setminus @ sK676 @ sK675)))), 1.61/0.70 inference(superposition,[],[f3166,f3023])). 1.61/0.70 thf(f3023,plain,( 1.61/0.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (in @ X1 @ (setminus @ X2 @ X0))) | (setminusELneg != $true) | ($true != (in @ X1 @ X2)) | ($true = (in @ X1 @ X0))) )), 1.61/0.70 inference(cnf_transformation,[],[f1974])). 1.61/0.70 thf(f1974,plain,( 1.61/0.70 (! [X0,X1,X2] : (($true != (in @ X1 @ X2)) | ($true = (in @ X1 @ (setminus @ X2 @ X0))) | ($true = (in @ X1 @ X0))) | (setminusELneg != $true)) & ((setminusELneg = $true) | (($true = (in @ sK590 @ sK591)) & ($true != (in @ sK590 @ (setminus @ sK591 @ sK589))) & ($true != (in @ sK590 @ sK589))))), 1.61/0.70 inference(skolemisation,[status(esa),new_symbols(skolem,[sK589,sK590,sK591])],[f1972,f1973])). 1.61/0.70 thf(f1973,plain,( 1.61/0.70 ? [X3,X4,X5] : (($true = (in @ X4 @ X5)) & ((in @ X4 @ (setminus @ X5 @ X3)) != $true) & ((in @ X4 @ X3) != $true)) => (($true = (in @ sK590 @ sK591)) & ($true != (in @ sK590 @ (setminus @ sK591 @ sK589))) & ($true != (in @ sK590 @ sK589)))), 1.61/0.70 introduced(choice_axiom,[])). 1.61/0.70 thf(f1972,plain,( 1.61/0.70 (! [X0,X1,X2] : (($true != (in @ X1 @ X2)) | ($true = (in @ X1 @ (setminus @ X2 @ X0))) | ($true = (in @ X1 @ X0))) | (setminusELneg != $true)) & ((setminusELneg = $true) | ? [X3,X4,X5] : (($true = (in @ X4 @ X5)) & ((in @ X4 @ (setminus @ X5 @ X3)) != $true) & ((in @ X4 @ X3) != $true)))), 1.61/0.70 inference(rectify,[],[f1971])). 1.61/0.70 thf(f1971,plain,( 1.61/0.70 (! [X0,X1,X2] : (($true != (in @ X1 @ X2)) | ($true = (in @ X1 @ (setminus @ X2 @ X0))) | ($true = (in @ X1 @ X0))) | (setminusELneg != $true)) & ((setminusELneg = $true) | ? [X0,X1,X2] : (($true = (in @ X1 @ X2)) & ($true != (in @ X1 @ (setminus @ X2 @ X0))) & ($true != (in @ X1 @ X0))))), 1.61/0.70 inference(nnf_transformation,[],[f812])). 1.61/0.70 thf(f812,plain,( 1.61/0.70 ! [X0,X1,X2] : (($true != (in @ X1 @ X2)) | ($true = (in @ X1 @ (setminus @ X2 @ X0))) | ($true = (in @ X1 @ X0))) <=> (setminusELneg = $true)), 1.61/0.70 inference(flattening,[],[f811])). 1.61/0.70 thf(f811,plain,( 1.61/0.70 ! [X0,X1,X2] : ((($true != (in @ X1 @ X2)) | ($true = (in @ X1 @ X0))) | ($true = (in @ X1 @ (setminus @ X2 @ X0)))) <=> (setminusELneg = $true)), 1.61/0.70 inference(ennf_transformation,[],[f748])). 1.61/0.70 thf(f748,plain,( 1.61/0.70 ! [X0,X1,X2] : (($true != (in @ X1 @ (setminus @ X2 @ X0))) => (($true != (in @ X1 @ X0)) => ($true != (in @ X1 @ X2)))) <=> (setminusELneg = $true)), 1.61/0.70 inference(flattening,[],[f305])). 1.61/0.70 thf(f305,plain,( 1.61/0.70 ! [X0,X1,X2] : (~($true = (in @ X1 @ (setminus @ X2 @ X0))) => (~($true = (in @ X1 @ X0)) => ~($true = (in @ X1 @ X2)))) <=> (setminusELneg = $true)), 1.61/0.70 inference(fool_elimination,[],[f304])). 1.61/0.70 thf(f304,plain,( 1.61/0.70 (! [X0,X1,X2] : (~(in @ X1 @ (setminus @ X2 @ X0)) => (~(in @ X1 @ X0) => ~(in @ X1 @ X2))) = setminusELneg)), 1.61/0.70 inference(rectify,[],[f125])). 1.61/0.70 thf(f125,axiom,( 1.61/0.70 (! [X4,X1,X3] : (~(in @ X1 @ (setminus @ X3 @ X4)) => (~(in @ X1 @ X4) => ~(in @ X1 @ X3))) = setminusELneg)), 1.61/0.70 file('/export/starexec/sandbox2/tmp/tmp.3BzYtAG4Yc/E---3.1_1162.p',setminusELneg)). 1.61/0.70 thf(f3166,plain,( 1.61/0.70 ($true != (in @ sK677 @ (setminus @ sK676 @ (setminus @ sK676 @ sK675))))), 1.61/0.70 inference(cnf_transformation,[],[f2110])). 1.61/0.70 % SZS output end Proof for E---3.1_1162 1.61/0.70 % (1391)------------------------------ 1.61/0.70 % (1391)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.61/0.70 % (1391)Termination reason: Refutation 1.61/0.70 1.61/0.70 % (1391)Memory used [KB]: 11001 1.61/0.70 % (1391)Time elapsed: 0.169 s 1.61/0.70 % (1391)Instructions burned: 476 (million) 1.61/0.70 % (1391)------------------------------ 1.61/0.70 % (1391)------------------------------ 1.61/0.70 % (1323)Success in time 0.291 s 1.61/0.70 EOF