0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n031.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 03:33:04 EDT 2025 0.12/0.33 % CPUTime : 0.12/0.35 This is a THF_ problem 0.12/0.35 Running higher-order theorem proving 0.20/0.41 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.Xeom89FBT8/E---3.1_25466.p -m 16384 -t 240 0.27/0.46 % (25580)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_25466 for (2399ds/18Mi) 0.27/0.46 % (25577)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_25466 for (2399ds/2Mi) 0.27/0.46 % (25578)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_25466 for (2399ds/2Mi) 0.27/0.46 % (25579)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_25466 for (2399ds/275Mi) 0.27/0.46 % (25576)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_25466 for (2399ds/27Mi) 0.27/0.46 % (25574)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_25466 for (2399ds/183Mi) 0.27/0.46 % (25575)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_25466 for (2399ds/4Mi) 0.27/0.46 % (25577)Instruction limit reached! 0.27/0.46 % (25577)------------------------------ 0.27/0.46 % (25577)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.46 % (25577)Termination reason: Unknown 0.27/0.46 % (25577)Termination phase: shuffling 0.27/0.46 0.27/0.46 % (25578)Instruction limit reached! 0.27/0.46 % (25578)------------------------------ 0.27/0.46 % (25578)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.46 % (25578)Termination reason: Unknown 0.27/0.46 % (25578)Termination phase: shuffling 0.27/0.46 0.27/0.46 % (25578)Memory used [KB]: 1535 0.27/0.46 % (25578)Time elapsed: 0.003 s 0.27/0.46 % (25578)Instructions burned: 2 (million) 0.27/0.46 % (25578)------------------------------ 0.27/0.46 % (25578)------------------------------ 0.27/0.46 % (25577)Memory used [KB]: 1535 0.27/0.46 % (25577)Time elapsed: 0.003 s 0.27/0.46 % (25577)Instructions burned: 2 (million) 0.27/0.46 % (25577)------------------------------ 0.27/0.46 % (25577)------------------------------ 0.27/0.46 % (25575)Instruction limit reached! 0.27/0.46 % (25575)------------------------------ 0.27/0.46 % (25575)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.46 % (25575)Termination reason: Unknown 0.27/0.46 % (25575)Termination phase: shuffling 0.27/0.46 0.27/0.46 % (25575)Memory used [KB]: 1535 0.27/0.46 % (25575)Time elapsed: 0.005 s 0.27/0.46 % (25575)Instructions burned: 5 (million) 0.27/0.46 % (25575)------------------------------ 0.27/0.46 % (25575)------------------------------ 0.27/0.47 % (25580)Instruction limit reached! 0.27/0.47 % (25580)------------------------------ 0.27/0.47 % (25580)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.47 % (25580)Termination reason: Unknown 0.27/0.47 % (25580)Termination phase: shuffling 0.27/0.47 0.27/0.47 % (25580)Memory used [KB]: 1918 0.27/0.47 % (25580)Time elapsed: 0.011 s 0.27/0.47 % (25580)Instructions burned: 18 (million) 0.27/0.47 % (25580)------------------------------ 0.27/0.47 % (25580)------------------------------ 0.27/0.47 % (25576)Instruction limit reached! 0.27/0.47 % (25576)------------------------------ 0.27/0.47 % (25576)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.47 % (25576)Termination reason: Unknown 0.27/0.47 % (25576)Termination phase: shuffling 0.27/0.47 0.27/0.47 % (25576)Memory used [KB]: 2046 0.27/0.47 % (25576)Time elapsed: 0.016 s 0.27/0.47 % (25576)Instructions burned: 27 (million) 0.27/0.47 % (25576)------------------------------ 0.27/0.47 % (25576)------------------------------ 0.27/0.48 % (25583)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_25466 for (2399ds/15Mi) 0.27/0.48 % (25581)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_25466 for (2399ds/3Mi) 0.27/0.48 % (25584)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_25466 for (2399ds/3Mi) 0.27/0.48 % (25582)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_25466 for (2399ds/37Mi) 0.27/0.48 % (25584)Instruction limit reached! 0.27/0.48 % (25584)------------------------------ 0.27/0.48 % (25584)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.48 % (25584)Termination reason: Unknown 0.27/0.48 % (25584)Termination phase: shuffling 0.27/0.48 0.27/0.48 % (25584)Memory used [KB]: 1535 0.27/0.48 % (25584)Time elapsed: 0.003 s 0.27/0.48 % (25584)Instructions burned: 4 (million) 0.27/0.48 % (25584)------------------------------ 0.27/0.48 % (25584)------------------------------ 0.27/0.48 % (25581)Instruction limit reached! 0.27/0.48 % (25581)------------------------------ 0.27/0.48 % (25581)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.48 % (25581)Termination reason: Unknown 0.27/0.48 % (25581)Termination phase: shuffling 0.27/0.48 0.27/0.48 % (25581)Memory used [KB]: 1535 0.27/0.48 % (25581)Time elapsed: 0.004 s 0.27/0.48 % (25581)Instructions burned: 3 (million) 0.27/0.48 % (25581)------------------------------ 0.27/0.48 % (25581)------------------------------ 0.27/0.48 % (25583)Instruction limit reached! 0.27/0.48 % (25583)------------------------------ 0.27/0.48 % (25583)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.48 % (25583)Termination reason: Unknown 0.27/0.48 % (25583)Termination phase: shuffling 0.27/0.48 0.27/0.48 % (25583)Memory used [KB]: 1918 0.27/0.48 % (25583)Time elapsed: 0.010 s 0.27/0.48 % (25583)Instructions burned: 16 (million) 0.27/0.48 % (25583)------------------------------ 0.27/0.48 % (25583)------------------------------ 0.27/0.49 % (25586)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_25466 for (2399ds/7Mi) 0.27/0.49 % (25585)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_25466 for (2399ds/1041Mi) 0.27/0.49 % (25586)Instruction limit reached! 0.27/0.49 % (25586)------------------------------ 0.27/0.49 % (25586)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.49 % (25586)Termination reason: Unknown 0.27/0.49 % (25586)Termination phase: shuffling 0.27/0.49 0.27/0.49 % (25586)Memory used [KB]: 1663 0.27/0.49 % (25586)Time elapsed: 0.004 s 0.27/0.49 % (25586)Instructions burned: 7 (million) 0.27/0.49 % (25586)------------------------------ 0.27/0.49 % (25586)------------------------------ 0.27/0.49 % (25587)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_25466 for (2399ds/16Mi) 0.27/0.50 % (25582)Instruction limit reached! 0.27/0.50 % (25582)------------------------------ 0.27/0.50 % (25582)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.50 % (25582)Termination reason: Unknown 0.27/0.50 % (25582)Termination phase: shuffling 0.27/0.50 0.27/0.50 % (25582)Memory used [KB]: 2302 0.27/0.50 % (25582)Time elapsed: 0.022 s 0.27/0.50 % (25582)Instructions burned: 38 (million) 0.27/0.50 % (25582)------------------------------ 0.27/0.50 % (25582)------------------------------ 0.27/0.50 % (25589)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_25466 for (2399ds/3Mi) 0.27/0.50 % (25589)Instruction limit reached! 0.27/0.50 % (25589)------------------------------ 0.27/0.50 % (25589)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.50 % (25589)Termination reason: Unknown 0.27/0.50 % (25589)Termination phase: shuffling 0.27/0.50 0.27/0.50 % (25589)Memory used [KB]: 1535 0.27/0.50 % (25589)Time elapsed: 0.003 s 0.27/0.50 % (25589)Instructions burned: 3 (million) 0.27/0.50 % (25589)------------------------------ 0.27/0.50 % (25589)------------------------------ 0.27/0.50 % (25588)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_25466 for (2399ds/3Mi) 0.27/0.50 % (25587)Instruction limit reached! 0.27/0.50 % (25587)------------------------------ 0.27/0.50 % (25587)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.50 % (25587)Termination reason: Unknown 0.27/0.50 % (25587)Termination phase: shuffling 0.27/0.50 0.27/0.50 % (25587)Memory used [KB]: 1791 0.27/0.50 % (25587)Time elapsed: 0.011 s 0.27/0.50 % (25587)Instructions burned: 17 (million) 0.27/0.50 % (25587)------------------------------ 0.27/0.50 % (25587)------------------------------ 0.27/0.50 % (25588)Instruction limit reached! 0.27/0.50 % (25588)------------------------------ 0.27/0.50 % (25588)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.50 % (25588)Termination reason: Unknown 0.27/0.50 % (25588)Termination phase: shuffling 0.27/0.50 0.27/0.50 % (25588)Memory used [KB]: 1535 0.27/0.50 % (25588)Time elapsed: 0.004 s 0.27/0.50 % (25588)Instructions burned: 4 (million) 0.27/0.50 % (25588)------------------------------ 0.27/0.50 % (25588)------------------------------ 0.27/0.51 % (25591)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_25466 for (2399ds/3Mi) 0.27/0.51 % (25591)Instruction limit reached! 0.27/0.51 % (25591)------------------------------ 0.27/0.51 % (25591)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.51 % (25591)Termination reason: Unknown 0.27/0.51 % (25591)Termination phase: shuffling 0.27/0.51 0.27/0.51 % (25591)Memory used [KB]: 1535 0.27/0.51 % (25591)Time elapsed: 0.003 s 0.27/0.51 % (25591)Instructions burned: 4 (million) 0.27/0.51 % (25591)------------------------------ 0.27/0.51 % (25591)------------------------------ 0.27/0.51 % (25590)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_25466 for (2399ds/7Mi) 0.27/0.52 % (25590)Instruction limit reached! 0.27/0.52 % (25590)------------------------------ 0.27/0.52 % (25590)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.52 % (25590)Termination reason: Unknown 0.27/0.52 % (25590)Termination phase: shuffling 0.27/0.52 0.27/0.52 % (25590)Memory used [KB]: 1535 0.27/0.52 % (25590)Time elapsed: 0.006 s 0.27/0.52 % (25590)Instructions burned: 7 (million) 0.27/0.52 % (25590)------------------------------ 0.27/0.52 % (25590)------------------------------ 0.27/0.52 % (25592)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_25466 for (2399ds/4Mi) 0.27/0.52 % (25594)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_25466 for (2399ds/710Mi) 0.27/0.52 % (25593)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_25466 for (2399ds/18Mi) 0.27/0.52 % (25592)Instruction limit reached! 0.27/0.52 % (25592)------------------------------ 0.27/0.52 % (25592)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.52 % (25592)Termination reason: Unknown 0.27/0.52 % (25592)Termination phase: shuffling 0.27/0.52 0.27/0.52 % (25592)Memory used [KB]: 1535 0.27/0.52 % (25592)Time elapsed: 0.005 s 0.27/0.52 % (25592)Instructions burned: 5 (million) 0.27/0.52 % (25592)------------------------------ 0.27/0.52 % (25592)------------------------------ 0.27/0.53 % (25593)Instruction limit reached! 0.27/0.53 % (25593)------------------------------ 0.27/0.53 % (25593)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.53 % (25593)Termination reason: Unknown 0.27/0.53 % (25593)Termination phase: shuffling 0.27/0.53 0.27/0.53 % (25593)Memory used [KB]: 1791 0.27/0.53 % (25593)Time elapsed: 0.012 s 0.27/0.53 % (25593)Instructions burned: 18 (million) 0.27/0.53 % (25593)------------------------------ 0.27/0.53 % (25593)------------------------------ 0.27/0.53 % (25595)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_25466 for (2399ds/6Mi) 0.27/0.54 % (25595)Instruction limit reached! 0.27/0.54 % (25595)------------------------------ 0.27/0.54 % (25595)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.54 % (25595)Termination reason: Unknown 0.27/0.54 % (25595)Termination phase: shuffling 0.27/0.54 0.27/0.54 % (25595)Memory used [KB]: 1663 0.27/0.54 % (25595)Time elapsed: 0.006 s 0.27/0.54 % (25595)Instructions burned: 6 (million) 0.27/0.54 % (25595)------------------------------ 0.27/0.54 % (25595)------------------------------ 0.27/0.54 % (25596)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_25466 for (2399ds/902Mi) 0.91/0.54 % (25597)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_25466 for (2398ds/21Mi) 0.91/0.55 % (25574)Instruction limit reached! 0.91/0.55 % (25574)------------------------------ 0.91/0.55 % (25574)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.91/0.55 % (25574)Termination reason: Unknown 0.91/0.55 % (25574)Termination phase: Saturation 0.91/0.55 0.91/0.55 % (25574)Memory used [KB]: 7803 0.91/0.55 % (25574)Time elapsed: 0.092 s 0.91/0.55 % (25574)Instructions burned: 185 (million) 0.91/0.55 % (25574)------------------------------ 0.91/0.55 % (25574)------------------------------ 0.91/0.56 % (25597)Instruction limit reached! 0.91/0.56 % (25597)------------------------------ 0.91/0.56 % (25597)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.91/0.56 % (25597)Termination reason: Unknown 0.91/0.56 % (25597)Termination phase: shuffling 0.91/0.56 0.91/0.56 % (25597)Memory used [KB]: 1918 0.91/0.56 % (25597)Time elapsed: 0.014 s 0.91/0.56 % (25597)Instructions burned: 22 (million) 0.91/0.56 % (25597)------------------------------ 0.91/0.56 % (25597)------------------------------ 0.91/0.56 % (25598)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_25466 for (2398ds/5Mi) 1.02/0.56 % (25599)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_25466 for (2398ds/6Mi) 1.02/0.56 % (25598)Instruction limit reached! 1.02/0.56 % (25598)------------------------------ 1.02/0.56 % (25598)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.02/0.56 % (25598)Termination reason: Unknown 1.02/0.56 % (25598)Termination phase: shuffling 1.02/0.56 1.02/0.56 % (25598)Memory used [KB]: 1535 1.02/0.56 % (25598)Time elapsed: 0.005 s 1.02/0.56 % (25598)Instructions burned: 5 (million) 1.02/0.56 % (25598)------------------------------ 1.02/0.56 % (25598)------------------------------ 1.02/0.56 % (25599)Instruction limit reached! 1.02/0.56 % (25599)------------------------------ 1.02/0.56 % (25599)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.02/0.56 % (25599)Termination reason: Unknown 1.02/0.56 % (25599)Termination phase: shuffling 1.02/0.56 1.02/0.56 % (25599)Memory used [KB]: 1663 1.02/0.56 % (25599)Time elapsed: 0.004 s 1.02/0.56 % (25599)Instructions burned: 7 (million) 1.02/0.56 % (25599)------------------------------ 1.02/0.56 % (25599)------------------------------ 1.02/0.57 % (25602)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_25466 for (2398ds/19Mi) 1.02/0.57 % (25600)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_25466 for (2398ds/377Mi) 1.02/0.58 % (25601)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_25466 for (2398ds/779Mi) 1.02/0.58 % (25602)Instruction limit reached! 1.02/0.58 % (25602)------------------------------ 1.02/0.58 % (25602)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.02/0.58 % (25602)Termination reason: Unknown 1.02/0.58 % (25602)Termination phase: shuffling 1.02/0.58 1.02/0.58 % (25602)Memory used [KB]: 1918 1.02/0.58 % (25602)Time elapsed: 0.008 s 1.02/0.58 % (25602)Instructions burned: 20 (million) 1.02/0.58 % (25602)------------------------------ 1.02/0.58 % (25602)------------------------------ 1.02/0.59 % (25603)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_25466 for (2398ds/879Mi) 1.02/0.60 % (25579)Instruction limit reached! 1.02/0.60 % (25579)------------------------------ 1.02/0.60 % (25579)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.02/0.60 % (25579)Termination reason: Unknown 1.02/0.60 % (25579)Termination phase: Saturation 1.02/0.60 1.02/0.60 % (25579)Memory used [KB]: 9978 1.02/0.60 % (25579)Time elapsed: 0.140 s 1.02/0.60 % (25579)Instructions burned: 276 (million) 1.02/0.60 % (25579)------------------------------ 1.02/0.60 % (25579)------------------------------ 1.02/0.61 % (25604)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_25466 for (2398ds/17Mi) 1.02/0.61 % (25604)Instruction limit reached! 1.02/0.61 % (25604)------------------------------ 1.02/0.61 % (25604)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.02/0.61 % (25604)Termination reason: Unknown 1.02/0.61 % (25604)Termination phase: shuffling 1.02/0.61 1.02/0.61 % (25604)Memory used [KB]: 1918 1.02/0.61 % (25604)Time elapsed: 0.007 s 1.02/0.61 % (25604)Instructions burned: 19 (million) 1.02/0.61 % (25604)------------------------------ 1.02/0.61 % (25604)------------------------------ 1.02/0.62 % (25605)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_25466 for (2398ds/3Mi) 1.02/0.62 % (25605)Instruction limit reached! 1.02/0.62 % (25605)------------------------------ 1.02/0.62 % (25605)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.02/0.62 % (25605)Termination reason: Unknown 1.02/0.62 % (25605)Termination phase: shuffling 1.02/0.62 1.02/0.62 % (25605)Memory used [KB]: 1535 1.02/0.62 % (25605)Time elapsed: 0.003 s 1.02/0.62 % (25605)Instructions burned: 3 (million) 1.02/0.62 % (25605)------------------------------ 1.02/0.62 % (25605)------------------------------ 1.34/0.63 % (25606)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_25466 for (2398ds/30Mi) 1.34/0.64 % (25606)Instruction limit reached! 1.34/0.64 % (25606)------------------------------ 1.34/0.64 % (25606)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.34/0.64 % (25606)Termination reason: Unknown 1.34/0.64 % (25606)Termination phase: shuffling 1.34/0.64 1.34/0.64 % (25606)Memory used [KB]: 2046 1.34/0.64 % (25606)Time elapsed: 0.011 s 1.34/0.64 % (25606)Instructions burned: 30 (million) 1.34/0.64 % (25606)------------------------------ 1.34/0.64 % (25606)------------------------------ 1.34/0.65 % (25607)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_25466 for (2397ds/127Mi) 1.46/0.67 % (25596)First to succeed. 1.46/0.67 % (25596)Refutation found. Thanks to Tanya! 1.46/0.67 % SZS status Theorem for E---3.1_25466 1.46/0.67 % SZS output start Proof for E---3.1_25466 1.46/0.67 thf(func_def_0, type, in: $i > $i > $o). 1.46/0.67 thf(func_def_1, type, exu: ($i > $o) > $o). 1.46/0.67 thf(func_def_6, type, setadjoin: $i > $i > $i). 1.46/0.67 thf(func_def_8, type, powerset: $i > $i). 1.46/0.67 thf(func_def_10, type, setunion: $i > $i). 1.46/0.67 thf(func_def_19, type, descr: ($i > $o) > $i). 1.46/0.67 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 1.46/0.67 thf(func_def_26, type, prop2set: $o > $i). 1.46/0.67 thf(func_def_36, type, nonempty: $i > $o). 1.46/0.67 thf(func_def_69, type, set2prop: $i > $o). 1.46/0.67 thf(func_def_88, type, subset: $i > $i > $o). 1.46/0.67 thf(func_def_89, type, disjoint: $i > $i > $o). 1.46/0.67 thf(func_def_90, type, setsmeet: $i > $i > $o). 1.46/0.67 thf(func_def_114, type, binunion: $i > $i > $i). 1.46/0.67 thf(func_def_122, type, binintersect: $i > $i > $i). 1.46/0.67 thf(func_def_135, type, regular: $i > $o). 1.46/0.67 thf(func_def_136, type, setminus: $i > $i > $i). 1.46/0.67 thf(func_def_147, type, symdiff: $i > $i > $i). 1.46/0.67 thf(func_def_153, type, iskpair: $i > $o). 1.46/0.67 thf(func_def_158, type, kpair: $i > $i > $i). 1.46/0.67 thf(func_def_160, type, cartprod: $i > $i > $i). 1.46/0.67 thf(func_def_177, type, singleton: $i > $o). 1.46/0.67 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 1.46/0.67 thf(func_def_184, type, atmost1p: $i > $o). 1.46/0.67 thf(func_def_185, type, atleast2p: $i > $o). 1.46/0.67 thf(func_def_186, type, atmost2p: $i > $o). 1.46/0.67 thf(func_def_187, type, upairsetp: $i > $o). 1.46/0.67 thf(func_def_191, type, kfst: $i > $i). 1.46/0.67 thf(func_def_203, type, ksnd: $i > $i). 1.46/0.67 thf(func_def_213, type, breln: $i > $i > $i > $o). 1.46/0.67 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 1.46/0.67 thf(func_def_222, type, func: $i > $i > $i > $o). 1.46/0.67 thf(func_def_223, type, funcSet: $i > $i > $i). 1.46/0.67 thf(func_def_226, type, ap: $i > $i > $i > $i > $i). 1.46/0.67 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i). 1.46/0.67 thf(func_def_259, type, if: $i > $o > $i > $i > $i). 1.46/0.67 thf(func_def_330, type, sP1: $i > $i > $i > $o > $o). 1.46/0.67 thf(func_def_333, type, sP4: $i > $i > $o). 1.46/0.67 thf(func_def_334, type, sP5: $i > $o). 1.46/0.67 thf(func_def_335, type, sP6: $i > $i > $o). 1.46/0.67 thf(func_def_336, type, sP7: $i > $i > $o). 1.46/0.67 thf(func_def_338, type, sP9: $i > $i > $i > $o). 1.46/0.67 thf(func_def_340, type, sP11: $i > $i > $i > $i > $o). 1.46/0.67 thf(func_def_348, type, sK19: $i > $i > $o). 1.46/0.67 thf(func_def_371, type, sK42: $i > $i > ($i > $i) > $i). 1.46/0.67 thf(func_def_372, type, sK43: $i > $i). 1.46/0.67 thf(func_def_378, type, sK49: $i > $o). 1.46/0.67 thf(func_def_380, type, sK51: $i > $o). 1.46/0.67 thf(func_def_381, type, sK52: $i > $i > $i). 1.46/0.67 thf(func_def_398, type, sK69: $i > $o). 1.46/0.67 thf(func_def_401, type, sK72: $i > ($i > $o) > $i). 1.46/0.67 thf(func_def_402, type, sK73: $i > ($i > $o) > $i). 1.46/0.67 thf(func_def_407, type, sK78: $i > ($i > $o) > $i). 1.46/0.67 thf(func_def_408, type, sK79: $i > $o). 1.46/0.67 thf(func_def_411, type, sK82: $i > $o). 1.46/0.67 thf(func_def_412, type, sK83: $i > $o). 1.46/0.67 thf(func_def_413, type, sK84: ($i > $o) > ($i > $o) > $i). 1.46/0.67 thf(func_def_414, type, sK85: ($i > $o) > ($i > $o) > $i). 1.46/0.67 thf(func_def_433, type, sK104: $i > $i > $o). 1.46/0.67 thf(func_def_438, type, sK109: $i > $i). 1.46/0.67 thf(func_def_439, type, sK110: $i > $o). 1.46/0.67 thf(func_def_458, type, sK129: $i > $o). 1.46/0.67 thf(func_def_459, type, sK130: ($i > $o) > $i). 1.46/0.67 thf(func_def_464, type, sK135: $i > $i > $i). 1.46/0.67 thf(func_def_469, type, sK140: $i > $o). 1.46/0.67 thf(func_def_486, type, sK157: $i > $i > $i > $i > $i). 1.46/0.67 thf(func_def_487, type, sK158: $i > $i > $i > $i > $i). 1.46/0.67 thf(func_def_498, type, sK169: $i > $i > $i). 1.46/0.67 thf(func_def_502, type, sK173: $i > ($i > $i) > $i > $i). 1.46/0.67 thf(func_def_504, type, sK175: $i > $i). 1.46/0.67 thf(func_def_522, type, sK193: $i > $i > $i > $i > $i). 1.46/0.67 thf(func_def_524, type, sK195: $i > $o). 1.46/0.67 thf(func_def_526, type, sK197: $i > ($i > $o) > $i > $i). 1.46/0.67 thf(func_def_554, type, sK225: ($i > $o) > $i > $i). 1.46/0.67 thf(func_def_556, type, sK227: $i > $o). 1.46/0.67 thf(func_def_573, type, sK244: $i > $i > $i > $i). 1.46/0.67 thf(func_def_595, type, sK266: $i > ($i > $o) > $i). 1.46/0.67 thf(func_def_596, type, sK267: $i > $o). 1.46/0.67 thf(func_def_599, type, sK270: $i > $i > $o). 1.46/0.67 thf(func_def_601, type, sK272: $i > $i). 1.46/0.67 thf(func_def_605, type, sK276: $i > $i > $i). 1.46/0.67 thf(func_def_606, type, sK277: $i > $i > $i). 1.46/0.67 thf(func_def_611, type, sK282: ($i > $i) > $i > $i > $i). 1.46/0.67 thf(func_def_614, type, sK285: $i > $i). 1.46/0.67 thf(func_def_633, type, sK304: $i > $i > $o). 1.46/0.67 thf(func_def_638, type, sK309: $i > $o). 1.46/0.67 thf(func_def_641, type, sK312: $i > ($i > $o) > $i). 1.46/0.67 thf(func_def_646, type, sK317: $o > $i > $i > $i). 1.46/0.67 thf(func_def_648, type, sK319: $i > $o). 1.46/0.67 thf(func_def_650, type, sK321: ($i > $o) > $i > $i). 1.46/0.67 thf(func_def_655, type, sK326: $i > $i > $i > $i). 1.46/0.67 thf(func_def_662, type, sK333: $i > $o). 1.46/0.67 thf(func_def_668, type, sK339: ($i > $o) > $i > $i). 1.46/0.67 thf(func_def_670, type, sK341: $i > $o). 1.46/0.67 thf(func_def_694, type, sK365: $i > $i > $i > $i > $i). 1.46/0.67 thf(func_def_718, type, sK389: $i > $o). 1.46/0.67 thf(func_def_719, type, sK390: $i > $i). 1.46/0.67 thf(func_def_720, type, sK391: ($i > $o) > $i). 1.46/0.67 thf(func_def_753, type, sK424: $i > $o). 1.46/0.67 thf(func_def_765, type, sK436: $i > $o). 1.46/0.67 thf(func_def_770, type, sK441: $i > $i > $i). 1.46/0.67 thf(func_def_801, type, sK472: ($i > $i) > $i > $i > $i). 1.46/0.67 thf(func_def_804, type, sK475: $i > $i). 1.46/0.67 thf(func_def_811, type, sK482: $i > $o). 1.46/0.67 thf(func_def_821, type, sK492: $i > $i > $o). 1.46/0.67 thf(func_def_854, type, sK525: ($i > $o) > $i). 1.46/0.67 thf(func_def_855, type, sK526: ($i > $o) > $i). 1.46/0.67 thf(func_def_856, type, sK527: $i > $o). 1.46/0.67 thf(func_def_860, type, sK531: ($i > $o) > ($i > $o) > $i). 1.46/0.67 thf(func_def_861, type, sK532: ($i > $o) > ($i > $o) > $i). 1.46/0.67 thf(func_def_862, type, sK533: $i > $o). 1.46/0.67 thf(func_def_863, type, sK534: $i > $o). 1.46/0.67 thf(func_def_875, type, sK546: $i > $i > $i). 1.46/0.67 thf(func_def_876, type, sK547: $i > $i > $i). 1.46/0.67 thf(func_def_877, type, sK548: $i > $i > $i). 1.46/0.67 thf(func_def_878, type, sK549: $i > $i > $i). 1.46/0.67 thf(func_def_879, type, sK550: $i > $i > $i). 1.46/0.67 thf(func_def_880, type, sK551: $i > $i > $i > $i). 1.46/0.67 thf(func_def_881, type, sK552: $i > $i). 1.46/0.67 thf(func_def_882, type, sK553: $i > $i). 1.46/0.67 thf(func_def_883, type, sK554: $i > $i). 1.46/0.67 thf(func_def_884, type, sK555: $i > $i). 1.46/0.67 thf(func_def_885, type, sK556: $i > $i > $i > $i). 1.46/0.67 thf(func_def_886, type, sK557: $i > $i > $i > $i). 1.46/0.67 thf(func_def_887, type, sK558: $i > $i > $i). 1.46/0.67 thf(func_def_888, type, sK559: $i > $i > $i). 1.46/0.67 thf(func_def_889, type, sK560: $i > $i > $i). 1.46/0.67 thf(func_def_891, type, sK562: $i > $i). 1.46/0.67 thf(func_def_892, type, sK563: $i > $i). 1.46/0.67 thf(func_def_893, type, sK564: $i > $i). 1.46/0.67 thf(func_def_895, type, sK566: $i > $i > $o). 1.46/0.67 thf(func_def_896, type, sK567: $i > $i). 1.46/0.67 thf(func_def_897, type, sK568: $i > $i). 1.46/0.67 thf(func_def_898, type, sK569: ($i > $i > $o) > $i > $i). 1.46/0.67 thf(func_def_899, type, sK570: ($i > $i > $o) > $i > $i). 1.46/0.67 thf(func_def_900, type, sK571: $i > ($i > $i > $o) > $i > $i). 1.46/0.67 thf(func_def_901, type, sK572: $i > $i > $i > $i). 1.46/0.67 thf(func_def_902, type, sK573: $i > $i > $i > $i). 1.46/0.67 thf(func_def_910, type, sK581: $i > $i). 1.46/0.67 thf(func_def_912, type, sK583: $i > $i). 1.46/0.67 thf(func_def_914, type, sK585: $i > $i > $o). 1.46/0.67 thf(func_def_953, type, sK624: $i > $i > $i). 1.46/0.67 thf(func_def_955, type, sK626: $i > $o). 1.46/0.67 thf(func_def_956, type, sK627: $i > $i). 1.46/0.67 thf(func_def_957, type, sK628: ($i > $o) > $i). 1.46/0.67 thf(func_def_974, type, sK645: $i > $o). 1.46/0.67 thf(func_def_986, type, sK657: $i > $o). 1.46/0.67 thf(func_def_1004, type, sK675: $i > $i). 1.46/0.67 thf(func_def_1014, type, sK685: $i > $i > $i). 1.46/0.67 thf(func_def_1017, type, sK688: ($i > $o) > $i > $i). 1.46/0.67 thf(func_def_1019, type, sK690: $i > $o). 1.46/0.67 thf(func_def_1027, type, sK698: $i > ($i > $o) > $i). 1.46/0.67 thf(func_def_1028, type, sK699: $i > $o). 1.46/0.67 thf(func_def_1031, type, sK702: $i > $i > $i). 1.46/0.67 thf(func_def_1035, type, sK706: $i > $o). 1.46/0.67 thf(func_def_1037, type, sK708: ($i > $o) > $i > $i). 1.46/0.67 thf(func_def_1038, type, sK709: ($i > $o) > $i > $i). 1.46/0.67 thf(func_def_1054, type, sK725: $i > $i). 1.46/0.67 thf(func_def_1075, type, sK746: $i > $i). 1.46/0.67 thf(func_def_1084, type, sK755: $i > $o). 1.46/0.67 thf(func_def_1090, type, sK761: $i > $i > $i > $i). 1.46/0.67 thf(func_def_1091, type, sK762: $i > $i > $i > $i). 1.46/0.67 thf(func_def_1109, type, sK780: ($i > $o) > $i > $i > $i > $i). 1.46/0.67 thf(func_def_1110, type, sK781: ($i > $o) > $i > $i > $i > $i). 1.46/0.67 thf(func_def_1114, type, sK785: $i > $o). 1.46/0.67 thf(func_def_1137, type, sK808: $i > $i > $i > $i > $i). 1.46/0.67 thf(func_def_1138, type, sK809: $i > ($i > $i) > $i > $i). 1.46/0.67 thf(func_def_1140, type, sK811: $i > $i). 1.46/0.67 thf(func_def_1147, type, sK818: $i > $o). 1.46/0.67 thf(func_def_1155, type, sK826: ($i > $o) > $i > $i > $i > $i). 1.46/0.67 thf(func_def_1156, type, sK827: ($i > $o) > $i > $i > $i > $i). 1.46/0.67 thf(func_def_1160, type, sK831: $i > $o). 1.46/0.67 thf(func_def_1164, type, sK835: ($i > $o) > $i > $i). 1.46/0.67 thf(func_def_1166, type, sK837: $i > $o). 1.46/0.67 thf(func_def_1168, type, sK839: $i > $i). 1.46/0.67 thf(func_def_1170, type, sK841: $i > ($i > $i) > $i > $i). 1.46/0.67 thf(func_def_1186, type, sK857: $i > $o). 1.46/0.67 thf(func_def_1187, type, sK858: $i > $o). 1.46/0.67 thf(func_def_1188, type, sK859: ($i > $o) > ($i > $o) > $i > $i > $i). 1.46/0.67 thf(func_def_1189, type, sK860: ($i > $o) > ($i > $o) > $i > $i > $i). 1.46/0.67 thf(func_def_1193, type, sK864: $i > $i > $i). 1.46/0.67 thf(func_def_1204, type, sK875: $i > $i > $o). 1.46/0.67 thf(func_def_1208, type, sK879: $i > $o). 1.46/0.67 thf(func_def_1221, type, sK892: $i > $i > $i > $i > $i). 1.46/0.67 thf(func_def_1222, type, sK893: $i > $i > $i > $i > $i). 1.46/0.67 thf(func_def_1223, type, sK894: $i > $i > $i > $i > $i). 1.46/0.67 thf(func_def_1224, type, sK895: $i > $i > $i > $i > $i). 1.46/0.67 thf(func_def_1230, type, ph901: !>[X0: $tType]:(X0)). 1.46/0.67 thf(f4544,plain,( 1.46/0.67 $false), 1.46/0.67 inference(trivial_inequality_removal,[],[f4539])). 1.46/0.67 thf(f4539,plain,( 1.46/0.67 ($true != $true)), 1.46/0.67 inference(superposition,[],[f4435,f3782])). 1.46/0.67 thf(f3782,plain,( 1.46/0.67 ((subset @ sK787 @ sK790) = $true)), 1.46/0.67 inference(cnf_transformation,[],[f2440])). 1.46/0.67 thf(f2440,plain,( 1.46/0.67 (setadjoinOr = $true) & (setbeta = $true) & (symdiffE = $true) & (cartprodsndin = $true) & (demorgan2b = $true) & (doubleComplementSub1 = $true) & (setadjoinE = $true) & (upairequniteq = $true) & (inIntersectImpInUnion = $true) & (funcGraphProp1 = $true) & (binintersectLsub = $true) & (demorgan2a1 = $true) & (setOfPairsIsBReln = $true) & (contrasubsetT2 = $true) & (binintersectEL = $true) & (exuEu = $true) & (cartprodmempair1 = $true) & (complementTI1 = $true) & (upairsubunion = $true) & (notequalI1 = $true) & (theprop = $true) & (demorgan1b = $true) & (kpairp = $true) & (sepSubset = $true) & (setukpairinjL = $true) & (cartprodfstin = $true) & (emptyI = $true) & (setextsub = $true) & (ex1E1 = $true) & (subset2powerset = $true) & (setadjoin__Cong = $true) & (complementUnionInPowersetComplement = $true) & (subbreln = $true) & (setadjoinIR = $true) & (subsetE = $true) & (eqimpsubset1 = $true) & (apProp = $true) & (setunion__Cong = $true) & (omega__Cong = $true) & (binintersectSubset2 = $true) & (subsetI1 = $true) & (wellorderingAx = $true) & (iffalse = $true) & (prop2setE = $true) & (ex1E2 = $true) & (setadjoinSub2 = $true) & (woz13rule0 = $true) & (funcGraphProp4 = $true) & (vacuousDall = $true) & (ksndsingleton = $true) & (nonemptyI = $true) & (singletonprop = $true) & (binunionLsub = $true) & (exuE3e = $true) & (notdexE = $true) & (powersetsubset = $true) & (exu__Cong = $true) & (setminusEL = $true) & (notinemptyset = $true) & (ubforcartprodlem2 = $true) & (funcext = $true) & (omega0Ax = $true) & (demorgan2 = $true) & (setukpairinjL2 = $true) & (lam2lamEq = $true) & (setadjoinAx = $true) & (exuI3 = $true) & (setextT = $true) & (cartprodpairsurjEq = $true) & (brelnall2 = $true) & (complementImpComplementIntersect = $true) & (funcGraphProp3 = $true) & (binintersectI = $true) & (setminusILneg = $true) & (dpsetconstrSub = $true) & (dpsetconstrER = $true) & (singletonsswitch = $true) & (upairinpowunion = $true) & (quantDeMorgan4 = $true) & (binintersectT_lem = $true) & (emptysetimpfalse = $true) & (emptyset__Cong = $true) & (ap2apEq1 = $true) & (sepInPowerset = $true) & (setoftrueEq = $true) & (demorgan2a = $true) & (iffalseProp1 = $true) & (inIntersectImpInUnion2 = $true) & (cartprodpairin = $true) & (setukpairIR = $true) & (complementTcontraSubset = $true) & (setminusLsub = $true) & (setminusSubset1 = $true) & (cartprodmempaircEq = $true) & (binunionRsub = $true) & (dsetconstrI = $true) & (setukpairinjR = $true) & (subsetI2 = $true) & (setminusELneg = $true) & (binunionTEcontra = $true) & (noeltsimpempty = $true) & (setminusIRneg = $true) & (binunionIR = $true) & (exuE2 = $true) & (dpsetconstrEL1 = $true) & (kfstpairEq = $true) & (omegaIndAx = $true) & (emptysetE = $true) & (complementTnotintersectT = $true) & (setminusER = $true) & (ex1I2 = $true) & (setminusI = $true) & (nonemptyImpWitness = $true) & (beta1 = $true) & (subPowSU = $true) & (cartprodpairmemER = $true) & (subsetemptysetimpeq = $true) & (funcImageSingleton = $true) & (complementT_lem = $true) & (setunionE = $true) & (in__Cong = $true) & (eta1 = $true) & (inPowerset = $true) & (binunionT_lem = $true) & (setunionsingleton1 = $true) & (doubleComplementI1 = $true) & (powersetT_lem = $true) & (iftrue = $true) & (iftrueorfalse = $true) & (setukpairinjR2 = $true) & (ap2apEq2 = $true) & (nonemptyE1 = $true) & (binunionTILcontra = $true) & (setunionAx = $true) & (upairsetIL = $true) & (notinsingleton = $true) & (inComplementUnionImpInComplement1 = $true) & (nonemptyI1 = $true) & (dpsetconstrI = $true) & (lamp = $true) & (intersectInPowersetIntersectUnions = $true) & (emptyInPowerset = $true) & (complementSubsetComplementIntersect = $true) & (funcext2 = $true) & (symdiffIneg1 = $true) & (theeq = $true) & (ifSingleton = $true) & (setminusERneg = $true) & (subsetTI = $true) & (binunionTIRcontra = $true) & (binintersectSubset1 = $true) & (upairsetIR = $true) & (funcinfuncset = $true) & (app = $true) & (cartprodpairmemEL = $true) & (notequalI2 = $true) & (binunionE = $true) & (eqbreln = $true) & (funcGraphProp2 = $true) & (complementInPowersetComplementIntersect = $true) & (emptyinunitempty = $true) & (eqinunit = $true) & (symdiffI2 = $true) & (woz13rule1 = $true) & (prop2set2propI = $true) & (symdiffIneg2 = $true) & (powersetE = $true) & (powersetE1 = $true) & (subsetRefl = $true) & (quantDeMorgan2 = $true) & ((((in @ sK789 @ (powerset @ sK788)) = $true) & (((subset @ sK787 @ sK789) = $true) & ((subset @ sK787 @ sK790) = $true) & ((subset @ sK787 @ (binintersect @ sK789 @ sK790)) != $true) & ((in @ sK790 @ (powerset @ sK788)) = $true))) & ((in @ sK787 @ (powerset @ sK788)) = $true)) & (setextAx = $true) & (kpairiskpair = $true) & (exuE1 = $true) & (brelnall1 = $true) & (subsetTrans = $true) & (cartprodfstpairEq = $true) & (setadjoinSub = $true) & (bs114d = $true) & (ex1I = $true) & (ksndpairEq = $true) & (upairset2IR = $true) & (lamProp = $true) & (binintersectTERcontra = $true) & (demorgan1 = $true) & (emptyE1 = $true) & (setminusSubset2 = $true) & (notdallE = $true) & (emptyinPowerset = $true) & (complementTE1 = $true) & (binintersectRsub = $true) & (quantDeMorgan3 = $true) & (funcextLem = $true) & (ifp = $true) & (emptysetsubset = $true) & (dpsetconstrERa = $true) & (contrasubsetT1 = $true) & (iftrueProp1 = $true) & (disjointsetsI1 = $true) & (replAx = $true) & (exuI2 = $true) & (setukpairinjR1 = $true) & (doubleComplementE1 = $true) & (doubleComplementSub2 = $true) & (setunionsingleton = $true) & (powersetTE1 = $true) & (kfstsingleton = $true) & (setukpairinjR11 = $true) & (binintersectSubset3 = $true) & (setext = $true) & (setukpairinjL1 = $true) & (binintersectER = $true) & (dsetconstrEL = $true) & (dpsetconstrEL2 = $true) & (dsetconstrER = $true) & (demorgan2b2 = $true) & (setunionE2 = $true) & (symdiffI1 = $true) & (contrasubsetT = $true) & (inCongP = $true) & (binintersectSubset5 = $true) & (upairset2E = $true) & (eta2 = $true) & (exuI1 = $true) & (foundationAx = $true) & (descrp = $true) & (setminusT_lem = $true) & (beta2 = $true) & (inComplementUnionImpNotIn1 = $true) & (uniqinunit = $true) & (setukpairIL = $true) & (singletonsuniq = $true) & (ubforcartprodlem1 = $true) & (eqimpsubset2 = $true) & (cartprodmempair = $true) & (contrasubsetT3 = $true) & (exuE3u = $true) & (singletoninpowunion = $true) & (doubleComplementEq = $true) & (quantDeMorgan1 = $true) & (powersetI1 = $true) & (woz13rule2 = $true) & (ubforcartprodlem3 = $true) & (setunionsingleton2 = $true) & (emptysetAx = $true) & (cartprodsndpairEq = $true) & (demorgan2a2 = $true) & (setunionI = $true) & (secondinupair = $true) & (upairsetE = $true) & (kpairsurjEq = $true) & (singletonsubset = $true) & (demorgan1a = $true) & (subsetE2 = $true) & (powerset__Cong = $true) & (inIntersectImpInIntersectUnions = $true) & (iftrueProp2 = $true) & (binintersectSubset4 = $true) & (iffalseProp2 = $true) & (contraSubsetComplement = $true) & (binunionIL = $true) & (descr__Cong = $true) & (notsubsetI = $true) & (singletoninpowerset = $true) & (setadjoinIL = $true) & (ap2p = $true) & (omegaSAx = $true) & (powersetI = $true) & (powersetTI1 = $true) & (dsetconstr__Cong = $true) & (powersetAx = $true) & (binunionEcases = $true) & (binintersectTELcontra = $true) & (binunionTE = $true) & (setukpairinjR12 = $true) & (lam2p = $true) & (infuncsetfunc = $true) & (prop2setI = $true)), 1.46/0.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK787,sK788,sK789,sK790])],[f1156,f2439,f2438,f2437])). 1.46/0.67 thf(f2437,plain,( 1.46/0.67 ? [X0,X1] : (? [X2] : (((in @ X2 @ (powerset @ X1)) = $true) & ? [X3] : (((subset @ X0 @ X2) = $true) & ((subset @ X0 @ X3) = $true) & ((subset @ X0 @ (binintersect @ X2 @ X3)) != $true) & ((in @ X3 @ (powerset @ X1)) = $true))) & ((in @ X0 @ (powerset @ X1)) = $true)) => (? [X2] : (((in @ X2 @ (powerset @ sK788)) = $true) & ? [X3] : (((subset @ sK787 @ X2) = $true) & ((subset @ sK787 @ X3) = $true) & ((subset @ sK787 @ (binintersect @ X2 @ X3)) != $true) & ((in @ X3 @ (powerset @ sK788)) = $true))) & ((in @ sK787 @ (powerset @ sK788)) = $true))), 1.46/0.67 introduced(choice_axiom,[])). 1.46/0.67 thf(f2438,plain,( 1.46/0.67 ? [X2] : (((in @ X2 @ (powerset @ sK788)) = $true) & ? [X3] : (((subset @ sK787 @ X2) = $true) & ((subset @ sK787 @ X3) = $true) & ((subset @ sK787 @ (binintersect @ X2 @ X3)) != $true) & ((in @ X3 @ (powerset @ sK788)) = $true))) => (((in @ sK789 @ (powerset @ sK788)) = $true) & ? [X3] : (((subset @ sK787 @ sK789) = $true) & ((subset @ sK787 @ X3) = $true) & ((subset @ sK787 @ (binintersect @ sK789 @ X3)) != $true) & ((in @ X3 @ (powerset @ sK788)) = $true)))), 1.46/0.67 introduced(choice_axiom,[])). 1.46/0.67 thf(f2439,plain,( 1.46/0.67 ? [X3] : (((subset @ sK787 @ sK789) = $true) & ((subset @ sK787 @ X3) = $true) & ((subset @ sK787 @ (binintersect @ sK789 @ X3)) != $true) & ((in @ X3 @ (powerset @ sK788)) = $true)) => (((subset @ sK787 @ sK789) = $true) & ((subset @ sK787 @ sK790) = $true) & ((subset @ sK787 @ (binintersect @ sK789 @ sK790)) != $true) & ((in @ sK790 @ (powerset @ sK788)) = $true))), 1.46/0.67 introduced(choice_axiom,[])). 1.46/0.67 thf(f1156,plain,( 1.46/0.67 (setadjoinOr = $true) & (setbeta = $true) & (symdiffE = $true) & (cartprodsndin = $true) & (demorgan2b = $true) & (doubleComplementSub1 = $true) & (setadjoinE = $true) & (upairequniteq = $true) & (inIntersectImpInUnion = $true) & (funcGraphProp1 = $true) & (binintersectLsub = $true) & (demorgan2a1 = $true) & (setOfPairsIsBReln = $true) & (contrasubsetT2 = $true) & (binintersectEL = $true) & (exuEu = $true) & (cartprodmempair1 = $true) & (complementTI1 = $true) & (upairsubunion = $true) & (notequalI1 = $true) & (theprop = $true) & (demorgan1b = $true) & (kpairp = $true) & (sepSubset = $true) & (setukpairinjL = $true) & (cartprodfstin = $true) & (emptyI = $true) & (setextsub = $true) & (ex1E1 = $true) & (subset2powerset = $true) & (setadjoin__Cong = $true) & (complementUnionInPowersetComplement = $true) & (subbreln = $true) & (setadjoinIR = $true) & (subsetE = $true) & (eqimpsubset1 = $true) & (apProp = $true) & (setunion__Cong = $true) & (omega__Cong = $true) & (binintersectSubset2 = $true) & (subsetI1 = $true) & (wellorderingAx = $true) & (iffalse = $true) & (prop2setE = $true) & (ex1E2 = $true) & (setadjoinSub2 = $true) & (woz13rule0 = $true) & (funcGraphProp4 = $true) & (vacuousDall = $true) & (ksndsingleton = $true) & (nonemptyI = $true) & (singletonprop = $true) & (binunionLsub = $true) & (exuE3e = $true) & (notdexE = $true) & (powersetsubset = $true) & (exu__Cong = $true) & (setminusEL = $true) & (notinemptyset = $true) & (ubforcartprodlem2 = $true) & (funcext = $true) & (omega0Ax = $true) & (demorgan2 = $true) & (setukpairinjL2 = $true) & (lam2lamEq = $true) & (setadjoinAx = $true) & (exuI3 = $true) & (setextT = $true) & (cartprodpairsurjEq = $true) & (brelnall2 = $true) & (complementImpComplementIntersect = $true) & (funcGraphProp3 = $true) & (binintersectI = $true) & (setminusILneg = $true) & (dpsetconstrSub = $true) & (dpsetconstrER = $true) & (singletonsswitch = $true) & (upairinpowunion = $true) & (quantDeMorgan4 = $true) & (binintersectT_lem = $true) & (emptysetimpfalse = $true) & (emptyset__Cong = $true) & (ap2apEq1 = $true) & (sepInPowerset = $true) & (setoftrueEq = $true) & (demorgan2a = $true) & (iffalseProp1 = $true) & (inIntersectImpInUnion2 = $true) & (cartprodpairin = $true) & (setukpairIR = $true) & (complementTcontraSubset = $true) & (setminusLsub = $true) & (setminusSubset1 = $true) & (cartprodmempaircEq = $true) & (binunionRsub = $true) & (dsetconstrI = $true) & (setukpairinjR = $true) & (subsetI2 = $true) & (setminusELneg = $true) & (binunionTEcontra = $true) & (noeltsimpempty = $true) & (setminusIRneg = $true) & (binunionIR = $true) & (exuE2 = $true) & (dpsetconstrEL1 = $true) & (kfstpairEq = $true) & (omegaIndAx = $true) & (emptysetE = $true) & (complementTnotintersectT = $true) & (setminusER = $true) & (ex1I2 = $true) & (setminusI = $true) & (nonemptyImpWitness = $true) & (beta1 = $true) & (subPowSU = $true) & (cartprodpairmemER = $true) & (subsetemptysetimpeq = $true) & (funcImageSingleton = $true) & (complementT_lem = $true) & (setunionE = $true) & (in__Cong = $true) & (eta1 = $true) & (inPowerset = $true) & (binunionT_lem = $true) & (setunionsingleton1 = $true) & (doubleComplementI1 = $true) & (powersetT_lem = $true) & (iftrue = $true) & (iftrueorfalse = $true) & (setukpairinjR2 = $true) & (ap2apEq2 = $true) & (nonemptyE1 = $true) & (binunionTILcontra = $true) & (setunionAx = $true) & (upairsetIL = $true) & (notinsingleton = $true) & (inComplementUnionImpInComplement1 = $true) & (nonemptyI1 = $true) & (dpsetconstrI = $true) & (lamp = $true) & (intersectInPowersetIntersectUnions = $true) & (emptyInPowerset = $true) & (complementSubsetComplementIntersect = $true) & (funcext2 = $true) & (symdiffIneg1 = $true) & (theeq = $true) & (ifSingleton = $true) & (setminusERneg = $true) & (subsetTI = $true) & (binunionTIRcontra = $true) & (binintersectSubset1 = $true) & (upairsetIR = $true) & (funcinfuncset = $true) & (app = $true) & (cartprodpairmemEL = $true) & (notequalI2 = $true) & (binunionE = $true) & (eqbreln = $true) & (funcGraphProp2 = $true) & (complementInPowersetComplementIntersect = $true) & (emptyinunitempty = $true) & (eqinunit = $true) & (symdiffI2 = $true) & (woz13rule1 = $true) & (prop2set2propI = $true) & (symdiffIneg2 = $true) & (powersetE = $true) & (powersetE1 = $true) & (subsetRefl = $true) & (quantDeMorgan2 = $true) & ? [X0,X1] : (? [X2] : (((in @ X2 @ (powerset @ X1)) = $true) & ? [X3] : (((subset @ X0 @ X2) = $true) & ((subset @ X0 @ X3) = $true) & ((subset @ X0 @ (binintersect @ X2 @ X3)) != $true) & ((in @ X3 @ (powerset @ X1)) = $true))) & ((in @ X0 @ (powerset @ X1)) = $true)) & (setextAx = $true) & (kpairiskpair = $true) & (exuE1 = $true) & (brelnall1 = $true) & (subsetTrans = $true) & (cartprodfstpairEq = $true) & (setadjoinSub = $true) & (bs114d = $true) & (ex1I = $true) & (ksndpairEq = $true) & (upairset2IR = $true) & (lamProp = $true) & (binintersectTERcontra = $true) & (demorgan1 = $true) & (emptyE1 = $true) & (setminusSubset2 = $true) & (notdallE = $true) & (emptyinPowerset = $true) & (complementTE1 = $true) & (binintersectRsub = $true) & (quantDeMorgan3 = $true) & (funcextLem = $true) & (ifp = $true) & (emptysetsubset = $true) & (dpsetconstrERa = $true) & (contrasubsetT1 = $true) & (iftrueProp1 = $true) & (disjointsetsI1 = $true) & (replAx = $true) & (exuI2 = $true) & (setukpairinjR1 = $true) & (doubleComplementE1 = $true) & (doubleComplementSub2 = $true) & (setunionsingleton = $true) & (powersetTE1 = $true) & (kfstsingleton = $true) & (setukpairinjR11 = $true) & (binintersectSubset3 = $true) & (setext = $true) & (setukpairinjL1 = $true) & (binintersectER = $true) & (dsetconstrEL = $true) & (dpsetconstrEL2 = $true) & (dsetconstrER = $true) & (demorgan2b2 = $true) & (setunionE2 = $true) & (symdiffI1 = $true) & (contrasubsetT = $true) & (inCongP = $true) & (binintersectSubset5 = $true) & (upairset2E = $true) & (eta2 = $true) & (exuI1 = $true) & (foundationAx = $true) & (descrp = $true) & (setminusT_lem = $true) & (beta2 = $true) & (inComplementUnionImpNotIn1 = $true) & (uniqinunit = $true) & (setukpairIL = $true) & (singletonsuniq = $true) & (ubforcartprodlem1 = $true) & (eqimpsubset2 = $true) & (cartprodmempair = $true) & (contrasubsetT3 = $true) & (exuE3u = $true) & (singletoninpowunion = $true) & (doubleComplementEq = $true) & (quantDeMorgan1 = $true) & (powersetI1 = $true) & (woz13rule2 = $true) & (ubforcartprodlem3 = $true) & (setunionsingleton2 = $true) & (emptysetAx = $true) & (cartprodsndpairEq = $true) & (demorgan2a2 = $true) & (setunionI = $true) & (secondinupair = $true) & (upairsetE = $true) & (kpairsurjEq = $true) & (singletonsubset = $true) & (demorgan1a = $true) & (subsetE2 = $true) & (powerset__Cong = $true) & (inIntersectImpInIntersectUnions = $true) & (iftrueProp2 = $true) & (binintersectSubset4 = $true) & (iffalseProp2 = $true) & (contraSubsetComplement = $true) & (binunionIL = $true) & (descr__Cong = $true) & (notsubsetI = $true) & (singletoninpowerset = $true) & (setadjoinIL = $true) & (ap2p = $true) & (omegaSAx = $true) & (powersetI = $true) & (powersetTI1 = $true) & (dsetconstr__Cong = $true) & (powersetAx = $true) & (binunionEcases = $true) & (binintersectTELcontra = $true) & (binunionTE = $true) & (setukpairinjR12 = $true) & (lam2p = $true) & (infuncsetfunc = $true) & (prop2setI = $true)), 1.46/0.67 inference(flattening,[],[f1155])). 1.46/0.67 thf(f1155,plain,( 1.46/0.67 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : (? [X3] : (((((subset @ X0 @ (binintersect @ X2 @ X3)) != $true) & ((subset @ X0 @ X3) = $true)) & ((subset @ X0 @ X2) = $true)) & ((in @ X3 @ (powerset @ X1)) = $true)) & ((in @ X2 @ (powerset @ X1)) = $true)) & ((in @ X0 @ (powerset @ X1)) = $true)) & (woz13rule2 = $true)) & (woz13rule1 = $true)) & (woz13rule0 = $true)) & (demorgan2 = $true)) & (demorgan2b = $true)) & (demorgan2b2 = $true)) & (demorgan2a = $true)) & (demorgan1 = $true)) & (demorgan1b = $true)) & (demorgan1a = $true)) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)), 1.46/0.67 inference(ennf_transformation,[],[f428])). 1.46/0.67 thf(f428,plain,( 1.46/0.67 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ((demorgan1b = $true) => ((demorgan1 = $true) => ((demorgan2a = $true) => ((demorgan2b2 = $true) => ((demorgan2b = $true) => ((demorgan2 = $true) => ((woz13rule0 = $true) => ((woz13rule1 = $true) => ((woz13rule2 = $true) => ! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) => ! [X2] : (((in @ X2 @ (powerset @ X1)) = $true) => ! [X3] : (((in @ X3 @ (powerset @ X1)) = $true) => (((subset @ X0 @ X2) = $true) => (((subset @ X0 @ X3) = $true) => ((subset @ X0 @ (binintersect @ X2 @ X3)) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.46/0.67 inference(fool_elimination,[],[f427])). 1.46/0.67 thf(f427,plain,( 1.46/0.67 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => ! [X0,X1] : ((in @ X0 @ (powerset @ X1)) => ! [X2] : ((in @ X2 @ (powerset @ X1)) => ! [X3] : ((in @ X3 @ (powerset @ X1)) => ((subset @ X0 @ X2) => ((subset @ X0 @ X3) => (subset @ X0 @ (binintersect @ X2 @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.46/0.67 inference(rectify,[],[f283])). 1.46/0.67 thf(f283,negated_conjecture,( 1.46/0.67 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X17] : ((in @ X17 @ (powerset @ X3)) => ((subset @ X11 @ X16) => ((subset @ X11 @ X17) => (subset @ X11 @ (binintersect @ X16 @ X17))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.46/0.67 inference(negated_conjecture,[],[f282])). 1.46/0.67 thf(f282,conjecture,( 1.46/0.67 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X17] : ((in @ X17 @ (powerset @ X3)) => ((subset @ X11 @ X16) => ((subset @ X11 @ X17) => (subset @ X11 @ (binintersect @ X16 @ X17)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.46/0.67 file('/export/starexec/sandbox2/tmp/tmp.Xeom89FBT8/E---3.1_25466.p',woz13rule3)). 1.46/0.67 thf(f4435,plain,( 1.46/0.67 ((subset @ sK787 @ sK790) != $true)), 1.46/0.67 inference(trivial_inequality_removal,[],[f4434])). 1.46/0.67 thf(f4434,plain,( 1.46/0.67 ($true != $true) | ((subset @ sK787 @ sK790) != $true)), 1.46/0.67 inference(forward_demodulation,[],[f4433,f3783])). 1.46/0.67 thf(f3783,plain,( 1.46/0.67 ((subset @ sK787 @ sK789) = $true)), 1.46/0.67 inference(cnf_transformation,[],[f2440])). 1.46/0.67 thf(f4433,plain,( 1.46/0.67 ((subset @ sK787 @ sK790) != $true) | ((subset @ sK787 @ sK789) != $true)), 1.46/0.67 inference(trivial_inequality_removal,[],[f4432])). 1.46/0.67 thf(f4432,plain,( 1.46/0.67 ((subset @ sK787 @ sK789) != $true) | ($true != $true) | ((subset @ sK787 @ sK790) != $true)), 1.46/0.67 inference(forward_demodulation,[],[f4411,f3729])). 1.46/0.67 thf(f3729,plain,( 1.46/0.67 (binintersectSubset5 = $true)), 1.46/0.67 inference(cnf_transformation,[],[f2440])). 1.46/0.67 thf(f4411,plain,( 1.46/0.67 (binintersectSubset5 != $true) | ((subset @ sK787 @ sK789) != $true) | ((subset @ sK787 @ sK790) != $true)), 1.46/0.67 inference(trivial_inequality_removal,[],[f4406])). 1.46/0.67 thf(f4406,plain,( 1.46/0.67 ($true != $true) | ((subset @ sK787 @ sK789) != $true) | ((subset @ sK787 @ sK790) != $true) | (binintersectSubset5 != $true)), 1.46/0.67 inference(superposition,[],[f3781,f3562])). 1.46/0.67 thf(f3562,plain,( 1.46/0.67 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((subset @ X1 @ (binintersect @ X2 @ X0)) = $true) | (binintersectSubset5 != $true) | ((subset @ X1 @ X0) != $true) | ($true != (subset @ X1 @ X2))) )), 1.46/0.67 inference(cnf_transformation,[],[f2313])). 1.46/0.67 thf(f2313,plain,( 1.46/0.67 (! [X0,X1,X2] : (((subset @ X1 @ X0) != $true) | ($true != (subset @ X1 @ X2)) | ((subset @ X1 @ (binintersect @ X2 @ X0)) = $true)) | (binintersectSubset5 != $true)) & ((binintersectSubset5 = $true) | (((subset @ sK711 @ sK710) = $true) & ((subset @ sK711 @ sK712) = $true) & ((subset @ sK711 @ (binintersect @ sK712 @ sK710)) != $true)))), 1.46/0.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK710,sK711,sK712])],[f2311,f2312])). 1.46/0.67 thf(f2312,plain,( 1.46/0.67 ? [X3,X4,X5] : (((subset @ X4 @ X3) = $true) & ((subset @ X4 @ X5) = $true) & ((subset @ X4 @ (binintersect @ X5 @ X3)) != $true)) => (((subset @ sK711 @ sK710) = $true) & ((subset @ sK711 @ sK712) = $true) & ((subset @ sK711 @ (binintersect @ sK712 @ sK710)) != $true))), 1.46/0.67 introduced(choice_axiom,[])). 1.46/0.67 thf(f2311,plain,( 1.46/0.67 (! [X0,X1,X2] : (((subset @ X1 @ X0) != $true) | ($true != (subset @ X1 @ X2)) | ((subset @ X1 @ (binintersect @ X2 @ X0)) = $true)) | (binintersectSubset5 != $true)) & ((binintersectSubset5 = $true) | ? [X3,X4,X5] : (((subset @ X4 @ X3) = $true) & ((subset @ X4 @ X5) = $true) & ((subset @ X4 @ (binintersect @ X5 @ X3)) != $true)))), 1.46/0.67 inference(rectify,[],[f2310])). 1.46/0.67 thf(f2310,plain,( 1.46/0.67 (! [X0,X1,X2] : (((subset @ X1 @ X0) != $true) | ($true != (subset @ X1 @ X2)) | ((subset @ X1 @ (binintersect @ X2 @ X0)) = $true)) | (binintersectSubset5 != $true)) & ((binintersectSubset5 = $true) | ? [X0,X1,X2] : (((subset @ X1 @ X0) = $true) & ($true = (subset @ X1 @ X2)) & ((subset @ X1 @ (binintersect @ X2 @ X0)) != $true)))), 1.46/0.67 inference(nnf_transformation,[],[f915])). 1.46/0.67 thf(f915,plain,( 1.46/0.67 ! [X0,X1,X2] : (((subset @ X1 @ X0) != $true) | ($true != (subset @ X1 @ X2)) | ((subset @ X1 @ (binintersect @ X2 @ X0)) = $true)) <=> (binintersectSubset5 = $true)), 1.46/0.67 inference(flattening,[],[f914])). 1.46/0.67 thf(f914,plain,( 1.46/0.67 (binintersectSubset5 = $true) <=> ! [X0,X1,X2] : ((((subset @ X1 @ (binintersect @ X2 @ X0)) = $true) | ((subset @ X1 @ X0) != $true)) | ($true != (subset @ X1 @ X2)))), 1.46/0.67 inference(ennf_transformation,[],[f826])). 1.46/0.67 thf(f826,plain,( 1.46/0.67 (binintersectSubset5 = $true) <=> ! [X0,X1,X2] : (($true = (subset @ X1 @ X2)) => (((subset @ X1 @ X0) = $true) => ((subset @ X1 @ (binintersect @ X2 @ X0)) = $true)))), 1.46/0.67 inference(fool_elimination,[],[f825])). 1.46/0.67 thf(f825,plain,( 1.46/0.67 (! [X0,X1,X2] : ((subset @ X1 @ X2) => ((subset @ X1 @ X0) => (subset @ X1 @ (binintersect @ X2 @ X0)))) = binintersectSubset5)), 1.46/0.67 inference(rectify,[],[f109])). 1.46/0.67 thf(f109,axiom,( 1.46/0.67 (! [X4,X5,X3] : ((subset @ X5 @ X3) => ((subset @ X5 @ X4) => (subset @ X5 @ (binintersect @ X3 @ X4)))) = binintersectSubset5)), 1.46/0.67 file('/export/starexec/sandbox2/tmp/tmp.Xeom89FBT8/E---3.1_25466.p',binintersectSubset5)). 1.46/0.67 thf(f3781,plain,( 1.46/0.67 ((subset @ sK787 @ (binintersect @ sK789 @ sK790)) != $true)), 1.46/0.67 inference(cnf_transformation,[],[f2440])). 1.46/0.67 % SZS output end Proof for E---3.1_25466 1.46/0.67 % (25596)------------------------------ 1.46/0.67 % (25596)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.46/0.67 % (25596)Termination reason: Refutation 1.46/0.67 1.46/0.67 % (25596)Memory used [KB]: 10746 1.46/0.67 % (25596)Time elapsed: 0.160 s 1.46/0.67 % (25596)Instructions burned: 348 (million) 1.46/0.67 % (25596)------------------------------ 1.46/0.67 % (25596)------------------------------ 1.46/0.67 % (25573)Success in time 0.247 s 1.46/0.67 EOF