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 : n012.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   : 1440
0.12/0.33	% WCLimit    : 180
0.12/0.33	% DateTime   : Thu Jul  4 07:01:24 EDT 2024
0.12/0.33	% CPUTime    : 
0.12/0.35	This is a THF_ problem
0.12/0.35	Running higher-order theorem proving
0.21/0.41	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.Oy98U2ABi2/E---3.1_2342.p -m 16384 -t 180
0.21/0.45	% (2603)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_2342 for (1799ds/275Mi)
0.21/0.46	% (2600)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_2342 for (1799ds/27Mi)
0.21/0.46	% (2598)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_2342 for (1799ds/183Mi)
0.21/0.46	% (2601)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_2342 for (1799ds/2Mi)
0.21/0.46	% (2599)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_2342 for (1799ds/4Mi)
0.21/0.46	% (2602)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_2342 for (1799ds/2Mi)
0.21/0.46	% (2604)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_2342 for (1799ds/18Mi)
0.21/0.46	% (2601)Instruction limit reached!
0.21/0.46	% (2601)------------------------------
0.21/0.46	% (2601)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.46	% (2601)Termination reason: Unknown
0.21/0.46	% (2601)Termination phase: shuffling
0.21/0.46	% (2602)Instruction limit reached!
0.21/0.46	% (2602)------------------------------
0.21/0.46	% (2602)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.46	
0.21/0.46	% (2601)Memory used [KB]: 1407
0.21/0.46	% (2601)Time elapsed: 0.003 s
0.21/0.46	% (2601)Instructions burned: 2 (million)
0.21/0.46	% (2601)------------------------------
0.21/0.46	% (2601)------------------------------
0.21/0.46	% (2602)Termination reason: Unknown
0.21/0.46	% (2602)Termination phase: shuffling
0.21/0.46	
0.21/0.46	% (2602)Memory used [KB]: 1407
0.21/0.46	% (2602)Time elapsed: 0.003 s
0.21/0.46	% (2602)Instructions burned: 2 (million)
0.21/0.46	% (2602)------------------------------
0.21/0.46	% (2602)------------------------------
0.21/0.46	% (2599)Instruction limit reached!
0.21/0.46	% (2599)------------------------------
0.21/0.46	% (2599)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.46	% (2599)Termination reason: Unknown
0.21/0.46	% (2599)Termination phase: shuffling
0.21/0.46	
0.21/0.46	% (2599)Memory used [KB]: 1535
0.21/0.46	% (2599)Time elapsed: 0.005 s
0.21/0.46	% (2599)Instructions burned: 5 (million)
0.21/0.46	% (2599)------------------------------
0.21/0.46	% (2599)------------------------------
0.21/0.47	% (2604)Instruction limit reached!
0.21/0.47	% (2604)------------------------------
0.21/0.47	% (2604)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.47	% (2604)Termination reason: Unknown
0.21/0.47	% (2604)Termination phase: shuffling
0.21/0.47	
0.21/0.47	% (2604)Memory used [KB]: 1918
0.21/0.47	% (2604)Time elapsed: 0.010 s
0.21/0.47	% (2604)Instructions burned: 19 (million)
0.21/0.47	% (2604)------------------------------
0.21/0.47	% (2604)------------------------------
0.21/0.47	% (2600)Instruction limit reached!
0.21/0.47	% (2600)------------------------------
0.21/0.47	% (2600)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.47	% (2600)Termination reason: Unknown
0.21/0.47	% (2600)Termination phase: shuffling
0.21/0.47	
0.21/0.47	% (2600)Memory used [KB]: 1918
0.21/0.47	% (2600)Time elapsed: 0.016 s
0.21/0.47	% (2600)Instructions burned: 27 (million)
0.21/0.47	% (2600)------------------------------
0.21/0.47	% (2600)------------------------------
0.21/0.48	% (2605)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_2342 for (1799ds/3Mi)
0.21/0.48	% (2606)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_2342 for (1799ds/37Mi)
0.21/0.48	% (2608)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_2342 for (1799ds/3Mi)
0.21/0.48	% (2608)Instruction limit reached!
0.21/0.48	% (2608)------------------------------
0.21/0.48	% (2608)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.48	% (2608)Termination reason: Unknown
0.21/0.48	% (2608)Termination phase: shuffling
0.21/0.48	
0.21/0.48	% (2608)Memory used [KB]: 1407
0.21/0.48	% (2608)Time elapsed: 0.002 s
0.21/0.48	% (2608)Instructions burned: 3 (million)
0.21/0.48	% (2608)------------------------------
0.21/0.48	% (2608)------------------------------
0.21/0.48	% (2605)Instruction limit reached!
0.21/0.48	% (2605)------------------------------
0.21/0.48	% (2605)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.48	% (2605)Termination reason: Unknown
0.21/0.48	% (2605)Termination phase: shuffling
0.21/0.48	
0.21/0.48	% (2605)Memory used [KB]: 1535
0.21/0.48	% (2605)Time elapsed: 0.005 s
0.21/0.48	% (2605)Instructions burned: 4 (million)
0.21/0.48	% (2605)------------------------------
0.21/0.48	% (2605)------------------------------
0.27/0.49	% (2610)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_2342 for (1799ds/7Mi)
0.27/0.49	% (2607)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_2342 for (1799ds/15Mi)
0.27/0.49	% (2609)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_2342 for (1799ds/1041Mi)
0.27/0.49	% (2610)Instruction limit reached!
0.27/0.49	% (2610)------------------------------
0.27/0.49	% (2610)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.27/0.49	% (2610)Termination reason: Unknown
0.27/0.49	% (2610)Termination phase: shuffling
0.27/0.49	
0.27/0.49	% (2610)Memory used [KB]: 1663
0.27/0.49	% (2610)Time elapsed: 0.005 s
0.27/0.49	% (2610)Instructions burned: 10 (million)
0.27/0.49	% (2610)------------------------------
0.27/0.49	% (2610)------------------------------
0.27/0.49	% (2611)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_2342 for (1799ds/16Mi)
0.27/0.49	% (2606)Instruction limit reached!
0.27/0.49	% (2606)------------------------------
0.27/0.49	% (2606)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.27/0.49	% (2606)Termination reason: Unknown
0.27/0.49	% (2606)Termination phase: shuffling
0.27/0.49	
0.27/0.49	% (2606)Memory used [KB]: 2302
0.27/0.49	% (2606)Time elapsed: 0.022 s
0.27/0.49	% (2606)Instructions burned: 38 (million)
0.27/0.49	% (2606)------------------------------
0.27/0.49	% (2606)------------------------------
0.27/0.50	% (2612)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_2342 for (1799ds/3Mi)
0.27/0.50	% (2612)Instruction limit reached!
0.27/0.50	% (2612)------------------------------
0.27/0.50	% (2612)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.27/0.50	% (2612)Termination reason: Unknown
0.27/0.50	% (2612)Termination phase: shuffling
0.27/0.50	
0.27/0.50	% (2612)Memory used [KB]: 1535
0.27/0.50	% (2612)Time elapsed: 0.003 s
0.27/0.50	% (2612)Instructions burned: 3 (million)
0.27/0.50	% (2612)------------------------------
0.27/0.50	% (2612)------------------------------
0.27/0.50	% (2611)Instruction limit reached!
0.27/0.50	% (2611)------------------------------
0.27/0.50	% (2611)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.27/0.50	% (2607)Instruction limit reached!
0.27/0.50	% (2607)------------------------------
0.27/0.50	% (2607)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.27/0.50	% (2611)Termination reason: Unknown
0.27/0.50	% (2607)Termination reason: Unknown
0.27/0.50	% (2611)Termination phase: shuffling
0.27/0.50	
0.27/0.50	% (2607)Termination phase: shuffling
0.27/0.50	% (2611)Memory used [KB]: 1791
0.27/0.50	
0.27/0.50	% (2611)Time elapsed: 0.011 s
0.27/0.50	% (2607)Memory used [KB]: 1791
0.27/0.50	% (2611)Instructions burned: 16 (million)
0.27/0.50	% (2611)------------------------------
0.27/0.50	% (2611)------------------------------
0.27/0.50	% (2607)Time elapsed: 0.017 s
0.27/0.50	% (2607)Instructions burned: 15 (million)
0.27/0.50	% (2607)------------------------------
0.27/0.50	% (2607)------------------------------
0.27/0.51	% (2614)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_2342 for (1799ds/7Mi)
0.27/0.51	% (2614)Instruction limit reached!
0.27/0.51	% (2614)------------------------------
0.27/0.51	% (2614)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.27/0.51	% (2614)Termination reason: Unknown
0.27/0.51	% (2614)Termination phase: shuffling
0.27/0.51	
0.27/0.51	% (2614)Memory used [KB]: 1535
0.27/0.51	% (2614)Time elapsed: 0.004 s
0.27/0.51	% (2614)Instructions burned: 7 (million)
0.27/0.51	% (2614)------------------------------
0.27/0.51	% (2614)------------------------------
0.27/0.51	% (2613)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_2342 for (1799ds/3Mi)
0.27/0.51	% (2613)Instruction limit reached!
0.27/0.51	% (2613)------------------------------
0.27/0.51	% (2613)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.27/0.51	% (2613)Termination reason: Unknown
0.27/0.51	% (2613)Termination phase: shuffling
0.27/0.51	
0.27/0.51	% (2613)Memory used [KB]: 1535
0.27/0.51	% (2613)Time elapsed: 0.004 s
0.27/0.51	% (2613)Instructions burned: 3 (million)
0.27/0.51	% (2613)------------------------------
0.27/0.51	% (2613)------------------------------
0.27/0.52	% (2615)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_2342 for (1799ds/3Mi)
0.27/0.52	% (2616)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_2342 for (1799ds/4Mi)
0.27/0.52	% (2615)Instruction limit reached!
0.27/0.52	% (2615)------------------------------
0.27/0.52	% (2615)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.27/0.52	% (2615)Termination reason: Unknown
0.27/0.52	% (2615)Termination phase: shuffling
0.27/0.52	
0.27/0.52	% (2617)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_2342 for (1799ds/18Mi)
0.27/0.52	% (2615)Memory used [KB]: 1535
0.27/0.52	% (2615)Time elapsed: 0.004 s
0.27/0.52	% (2615)Instructions burned: 3 (million)
0.27/0.52	% (2615)------------------------------
0.27/0.52	% (2615)------------------------------
0.27/0.52	% (2616)Instruction limit reached!
0.27/0.52	% (2616)------------------------------
0.27/0.52	% (2616)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.27/0.52	% (2616)Termination reason: Unknown
0.27/0.52	% (2616)Termination phase: shuffling
0.27/0.52	
0.27/0.52	% (2616)Memory used [KB]: 1535
0.27/0.52	% (2616)Time elapsed: 0.004 s
0.27/0.52	% (2616)Instructions burned: 4 (million)
0.27/0.52	% (2616)------------------------------
0.27/0.52	% (2616)------------------------------
0.27/0.53	% (2617)Instruction limit reached!
0.27/0.53	% (2617)------------------------------
0.27/0.53	% (2617)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.27/0.53	% (2617)Termination reason: Unknown
0.27/0.53	% (2617)Termination phase: shuffling
0.27/0.53	
0.27/0.53	% (2617)Memory used [KB]: 1918
0.27/0.53	% (2617)Time elapsed: 0.008 s
0.27/0.53	% (2617)Instructions burned: 20 (million)
0.27/0.53	% (2617)------------------------------
0.27/0.53	% (2617)------------------------------
0.27/0.53	% (2618)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_2342 for (1798ds/710Mi)
0.27/0.53	% (2619)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_2342 for (1798ds/6Mi)
0.27/0.54	% (2621)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_2342 for (1798ds/21Mi)
0.27/0.54	% (2620)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_2342 for (1798ds/902Mi)
0.27/0.54	% (2619)Instruction limit reached!
0.27/0.54	% (2619)------------------------------
0.27/0.54	% (2619)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.27/0.54	% (2619)Termination reason: Unknown
0.27/0.54	% (2619)Termination phase: shuffling
0.27/0.54	
0.27/0.54	% (2619)Memory used [KB]: 1535
0.27/0.54	% (2619)Time elapsed: 0.006 s
0.27/0.54	% (2619)Instructions burned: 8 (million)
0.27/0.54	% (2619)------------------------------
0.27/0.54	% (2619)------------------------------
0.27/0.54	% (2621)Instruction limit reached!
0.27/0.54	% (2621)------------------------------
0.27/0.54	% (2621)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.27/0.54	% (2621)Termination reason: Unknown
0.27/0.54	% (2621)Termination phase: shuffling
0.27/0.54	
0.27/0.54	% (2621)Memory used [KB]: 1918
0.27/0.54	% (2621)Time elapsed: 0.009 s
0.27/0.54	% (2621)Instructions burned: 23 (million)
0.27/0.54	% (2621)------------------------------
0.27/0.54	% (2621)------------------------------
0.27/0.55	% (2622)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_2342 for (1798ds/5Mi)
0.27/0.55	% (2622)Instruction limit reached!
0.27/0.55	% (2622)------------------------------
0.27/0.55	% (2622)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.27/0.55	% (2622)Termination reason: Unknown
0.27/0.55	% (2622)Termination phase: shuffling
0.27/0.55	
0.27/0.55	% (2622)Memory used [KB]: 1535
0.27/0.55	% (2622)Time elapsed: 0.003 s
0.27/0.55	% (2622)Instructions burned: 6 (million)
0.27/0.55	% (2622)------------------------------
0.27/0.55	% (2622)------------------------------
0.27/0.55	% (2623)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_2342 for (1798ds/6Mi)
0.27/0.55	% (2623)Instruction limit reached!
0.27/0.55	% (2623)------------------------------
0.27/0.55	% (2623)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.27/0.55	% (2623)Termination reason: Unknown
0.27/0.55	% (2623)Termination phase: shuffling
0.27/0.55	
0.27/0.55	% (2623)Memory used [KB]: 1535
0.27/0.55	% (2623)Time elapsed: 0.004 s
0.27/0.55	% (2623)Instructions burned: 7 (million)
0.27/0.55	% (2623)------------------------------
0.27/0.55	% (2623)------------------------------
0.27/0.56	% (2598)Instruction limit reached!
0.27/0.56	% (2598)------------------------------
0.27/0.56	% (2598)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.27/0.56	% (2598)Termination reason: Unknown
0.27/0.56	% (2598)Termination phase: Saturation
0.27/0.56	
0.27/0.56	% (2598)Memory used [KB]: 7675
0.27/0.56	% (2598)Time elapsed: 0.103 s
0.27/0.56	% (2598)Instructions burned: 185 (million)
0.27/0.56	% (2598)------------------------------
0.27/0.56	% (2598)------------------------------
0.27/0.56	% (2624)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_2342 for (1798ds/377Mi)
0.27/0.56	% (2625)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_2342 for (1798ds/779Mi)
0.27/0.57	% (2626)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_2342 for (1798ds/19Mi)
1.16/0.58	% (2626)Instruction limit reached!
1.16/0.58	% (2626)------------------------------
1.16/0.58	% (2626)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.16/0.58	% (2626)Termination reason: Unknown
1.16/0.58	% (2626)Termination phase: shuffling
1.16/0.58	
1.16/0.58	% (2626)Memory used [KB]: 1918
1.16/0.58	% (2626)Time elapsed: 0.012 s
1.16/0.58	% (2626)Instructions burned: 20 (million)
1.16/0.58	% (2626)------------------------------
1.16/0.58	% (2626)------------------------------
1.16/0.58	% (2603)Instruction limit reached!
1.16/0.58	% (2603)------------------------------
1.16/0.58	% (2603)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.16/0.58	% (2603)Termination reason: Unknown
1.16/0.58	% (2603)Termination phase: Saturation
1.16/0.58	
1.16/0.58	% (2603)Memory used [KB]: 9722
1.16/0.58	% (2603)Time elapsed: 0.131 s
1.16/0.58	% (2603)Instructions burned: 277 (million)
1.16/0.58	% (2603)------------------------------
1.16/0.58	% (2603)------------------------------
1.16/0.59	% (2627)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_2342 for (1798ds/879Mi)
1.16/0.59	% (2628)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_2342 for (1798ds/17Mi)
1.28/0.60	% (2628)Instruction limit reached!
1.28/0.60	% (2628)------------------------------
1.28/0.60	% (2628)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.28/0.60	% (2628)Termination reason: Unknown
1.28/0.60	% (2628)Termination phase: shuffling
1.28/0.60	
1.28/0.60	% (2628)Memory used [KB]: 1791
1.28/0.60	% (2628)Time elapsed: 0.007 s
1.28/0.60	% (2628)Instructions burned: 19 (million)
1.28/0.60	% (2628)------------------------------
1.28/0.60	% (2628)------------------------------
1.28/0.61	% (2629)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_2342 for (1798ds/3Mi)
1.28/0.61	% (2629)Instruction limit reached!
1.28/0.61	% (2629)------------------------------
1.28/0.61	% (2629)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.28/0.61	% (2629)Termination reason: Unknown
1.28/0.61	% (2629)Termination phase: shuffling
1.28/0.61	
1.28/0.61	% (2629)Memory used [KB]: 1535
1.28/0.61	% (2629)Time elapsed: 0.003 s
1.28/0.61	% (2629)Instructions burned: 3 (million)
1.28/0.61	% (2629)------------------------------
1.28/0.61	% (2629)------------------------------
1.28/0.62	% (2630)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_2342 for (1798ds/30Mi)
1.46/0.63	% (2630)Instruction limit reached!
1.46/0.63	% (2630)------------------------------
1.46/0.63	% (2630)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.46/0.63	% (2630)Termination reason: Unknown
1.46/0.63	% (2630)Termination phase: shuffling
1.46/0.63	
1.46/0.63	% (2630)Memory used [KB]: 2302
1.46/0.63	% (2630)Time elapsed: 0.012 s
1.46/0.63	% (2630)Instructions burned: 32 (million)
1.46/0.63	% (2630)------------------------------
1.46/0.63	% (2630)------------------------------
1.46/0.64	% (2631)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_2342 for (1797ds/127Mi)
1.46/0.67	% (2620)First to succeed.
1.46/0.67	% (2631)Instruction limit reached!
1.46/0.67	% (2631)------------------------------
1.46/0.67	% (2631)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.46/0.67	% (2631)Termination reason: Unknown
1.46/0.67	% (2631)Termination phase: Property scanning
1.46/0.67	
1.46/0.67	% (2631)Memory used [KB]: 2686
1.46/0.67	% (2631)Time elapsed: 0.038 s
1.46/0.67	% (2631)Instructions burned: 128 (million)
1.46/0.67	% (2631)------------------------------
1.46/0.67	% (2631)------------------------------
1.46/0.68	% (2620)Refutation found. Thanks to Tanya!
1.46/0.68	% SZS status Theorem for E---3.1_2342
1.46/0.68	% SZS output start Proof for E---3.1_2342
1.46/0.68	thf(func_def_0, type, in: $i > $i > $o).
1.46/0.68	thf(func_def_1, type, exu: ($i > $o) > $o).
1.46/0.68	thf(func_def_6, type, setadjoin: $i > $i > $i).
1.46/0.68	thf(func_def_8, type, powerset: $i > $i).
1.46/0.68	thf(func_def_10, type, setunion: $i > $i).
1.46/0.68	thf(func_def_19, type, descr: ($i > $o) > $i).
1.46/0.68	thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
1.46/0.68	thf(func_def_26, type, prop2set: $o > $i).
1.46/0.68	thf(func_def_36, type, nonempty: $i > $o).
1.46/0.68	thf(func_def_69, type, set2prop: $i > $o).
1.46/0.68	thf(func_def_88, type, subset: $i > $i > $o).
1.46/0.68	thf(func_def_89, type, disjoint: $i > $i > $o).
1.46/0.68	thf(func_def_90, type, setsmeet: $i > $i > $o).
1.46/0.68	thf(func_def_114, type, binunion: $i > $i > $i).
1.46/0.68	thf(func_def_122, type, binintersect: $i > $i > $i).
1.46/0.68	thf(func_def_135, type, regular: $i > $o).
1.46/0.68	thf(func_def_136, type, setminus: $i > $i > $i).
1.46/0.68	thf(func_def_147, type, symdiff: $i > $i > $i).
1.46/0.68	thf(func_def_153, type, iskpair: $i > $o).
1.46/0.68	thf(func_def_158, type, kpair: $i > $i > $i).
1.46/0.68	thf(func_def_160, type, cartprod: $i > $i > $i).
1.46/0.68	thf(func_def_177, type, singleton: $i > $o).
1.46/0.68	thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
1.46/0.68	thf(func_def_184, type, atmost1p: $i > $o).
1.46/0.68	thf(func_def_185, type, atleast2p: $i > $o).
1.46/0.68	thf(func_def_186, type, atmost2p: $i > $o).
1.46/0.68	thf(func_def_187, type, upairsetp: $i > $o).
1.46/0.68	thf(func_def_191, type, kfst: $i > $i).
1.46/0.68	thf(func_def_203, type, ksnd: $i > $i).
1.46/0.68	thf(func_def_213, type, breln: $i > $i > $i > $o).
1.46/0.68	thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
1.46/0.68	thf(func_def_222, type, func: $i > $i > $i > $o).
1.46/0.68	thf(func_def_223, type, funcSet: $i > $i > $i).
1.46/0.68	thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
1.46/0.68	thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
1.46/0.68	thf(func_def_259, type, if: $i > $o > $i > $i > $i).
1.46/0.68	thf(func_def_307, type, sP0: $i > $i > $i > $o).
1.46/0.68	thf(func_def_312, type, sP5: $i > $i > $i > $i > $o).
1.46/0.68	thf(func_def_314, type, sP7: $o > $i > $i > $i > $o).
1.46/0.68	thf(func_def_315, type, sP8: $i > $i > $o).
1.46/0.68	thf(func_def_316, type, sP9: $i > $o).
1.46/0.68	thf(func_def_317, type, sP10: $i > $i > $o).
1.46/0.68	thf(func_def_318, type, sP11: $i > $i > $o).
1.46/0.68	thf(func_def_325, type, sK18: $i > $i).
1.46/0.68	thf(func_def_330, type, sK23: $o > $i > $i > $i).
1.46/0.68	thf(func_def_331, type, sK24: $i > $o).
1.46/0.68	thf(func_def_334, type, sK27: $i > ($i > $o) > $i).
1.46/0.68	thf(func_def_342, type, sK35: $i > $i > $i > $i).
1.46/0.68	thf(func_def_346, type, sK39: $i > $i > $i > $i).
1.46/0.68	thf(func_def_363, type, sK56: $i > $i > $o).
1.46/0.68	thf(func_def_364, type, sK57: $i > $i).
1.46/0.68	thf(func_def_365, type, sK58: $i > $i).
1.46/0.68	thf(func_def_366, type, sK59: ($i > $i > $o) > $i > $i).
1.46/0.68	thf(func_def_367, type, sK60: ($i > $i > $o) > $i > $i).
1.46/0.68	thf(func_def_368, type, sK61: $i > ($i > $i > $o) > $i > $i).
1.46/0.68	thf(func_def_375, type, sK68: $i > $i > ($i > $i) > $i).
1.46/0.68	thf(func_def_376, type, sK69: $i > $i).
1.46/0.68	thf(func_def_382, type, sK75: $i > $i > $i > $i > $i).
1.46/0.68	thf(func_def_389, type, sK82: $i > $i > $o).
1.46/0.68	thf(func_def_392, type, sK85: $i > $o).
1.46/0.68	thf(func_def_394, type, sK87: $i > $o).
1.46/0.68	thf(func_def_397, type, sK90: $i > ($i > $o) > $i).
1.46/0.68	thf(func_def_398, type, sK91: $i > ($i > $o) > $i).
1.46/0.68	thf(func_def_400, type, sK93: $i > $i).
1.46/0.68	thf(func_def_403, type, sK96: $i > $i > ($i > $i) > $i).
1.46/0.68	thf(func_def_406, type, sK99: $i > $i > $i).
1.46/0.68	thf(func_def_413, type, sK106: $i > $o).
1.46/0.68	thf(func_def_416, type, sK109: $i > ($i > $o) > $i).
1.46/0.68	thf(func_def_428, type, sK121: $i > $i > $o).
1.46/0.68	thf(func_def_433, type, sK126: $i > $o).
1.46/0.68	thf(func_def_443, type, sK136: ($i > $o) > $i > $i > $i > $i).
1.46/0.68	thf(func_def_444, type, sK137: ($i > $o) > $i > $i > $i > $i).
1.46/0.68	thf(func_def_448, type, sK141: $i > $o).
1.46/0.68	thf(func_def_461, type, sK154: $i > $i).
1.46/0.68	thf(func_def_463, type, sK156: $i > $i).
1.46/0.68	thf(func_def_473, type, sK166: $i > $i).
1.46/0.68	thf(func_def_483, type, sK176: $i > $i).
1.46/0.68	thf(func_def_492, type, sK185: $i > $i).
1.46/0.68	thf(func_def_503, type, sK196: $i > $o).
1.46/0.68	thf(func_def_533, type, sK226: $i > $o).
1.46/0.68	thf(func_def_538, type, sK231: $i > $i > ($i > $i) > $i).
1.46/0.68	thf(func_def_539, type, sK232: $i > $i).
1.46/0.68	thf(func_def_543, type, sK236: $i > $i > $i).
1.46/0.68	thf(func_def_574, type, sK267: $i > $o).
1.46/0.68	thf(func_def_581, type, sK274: ($i > $o) > ($i > $o) > $i).
1.46/0.68	thf(func_def_582, type, sK275: ($i > $o) > ($i > $o) > $i).
1.46/0.68	thf(func_def_583, type, sK276: $i > $o).
1.46/0.68	thf(func_def_584, type, sK277: $i > $o).
1.46/0.68	thf(func_def_611, type, sK304: $i > $i > $i > $i > $i).
1.46/0.68	thf(func_def_612, type, sK305: $i > $i > $i > $i > $i).
1.46/0.68	thf(func_def_616, type, sK309: $i > $i > $i).
1.46/0.68	thf(func_def_625, type, sK318: $i > $o).
1.46/0.68	thf(func_def_631, type, sK324: $i > $i > $o).
1.46/0.68	thf(func_def_647, type, sK340: $i > $i > $i > $i > $i).
1.46/0.68	thf(func_def_649, type, sK342: $i > $o).
1.46/0.68	thf(func_def_651, type, sK344: ($i > $o) > $i > $i).
1.46/0.68	thf(func_def_677, type, sK370: ($i > $o) > $i).
1.46/0.68	thf(func_def_678, type, sK371: $i > $o).
1.46/0.68	thf(func_def_679, type, sK372: $i > $i).
1.46/0.68	thf(func_def_689, type, sK382: $i > $i > $o).
1.46/0.68	thf(func_def_699, type, sK392: $i > $i).
1.46/0.68	thf(func_def_701, type, sK394: $i > ($i > $i) > $i > $i).
1.46/0.68	thf(func_def_704, type, sK397: $i > $i > $i).
1.46/0.68	thf(func_def_705, type, sK398: $i > $i > $i).
1.46/0.68	thf(func_def_726, type, sK419: $i > $o).
1.46/0.68	thf(func_def_728, type, sK421: ($i > $o) > $i > $i).
1.46/0.68	thf(func_def_729, type, sK422: ($i > $o) > $i > $i).
1.46/0.68	thf(func_def_753, type, sK446: $i > $i > ($i > $i) > $i).
1.46/0.68	thf(func_def_754, type, sK447: $i > $i).
1.46/0.68	thf(func_def_758, type, sK451: $i > $i).
1.46/0.68	thf(func_def_762, type, sK455: ($i > $i) > $i > $i > $i).
1.46/0.68	thf(func_def_765, type, sK458: $i > $i).
1.46/0.68	thf(func_def_770, type, sK463: $i > $o).
1.46/0.68	thf(func_def_778, type, sK471: $i > $i > $o).
1.46/0.68	thf(func_def_799, type, sK492: $i > $o).
1.46/0.68	thf(func_def_804, type, sK497: $i > $o).
1.46/0.68	thf(func_def_817, type, sK510: $i > $i > $o).
1.46/0.68	thf(func_def_826, type, sK519: $i > $o).
1.46/0.68	thf(func_def_827, type, sK520: $i > $o).
1.46/0.68	thf(func_def_828, type, sK521: ($i > $o) > ($i > $o) > $i).
1.46/0.68	thf(func_def_829, type, sK522: ($i > $o) > ($i > $o) > $i).
1.46/0.68	thf(func_def_832, type, sK525: $i > $i > $i).
1.46/0.68	thf(func_def_844, type, sK537: $i > $i > $i).
1.46/0.68	thf(func_def_852, type, sK545: $i > $o).
1.46/0.68	thf(func_def_854, type, sK547: ($i > $o) > $i > $i).
1.46/0.68	thf(func_def_859, type, sK552: $i > $o).
1.46/0.68	thf(func_def_861, type, sK554: $i > $i > $i > $i > $i).
1.46/0.68	thf(func_def_866, type, sK559: $i > $i > $i).
1.46/0.68	thf(func_def_879, type, sK572: $i > $o).
1.46/0.68	thf(func_def_880, type, sK573: $i > $o).
1.46/0.68	thf(func_def_881, type, sK574: ($i > $o) > ($i > $o) > $i > $i > $i).
1.46/0.68	thf(func_def_882, type, sK575: ($i > $o) > ($i > $o) > $i > $i > $i).
1.46/0.68	thf(func_def_883, type, sK576: $i > ($i > $o) > $i).
1.46/0.68	thf(func_def_884, type, sK577: $i > $o).
1.46/0.68	thf(func_def_898, type, sK591: $i > $i > $i > $i > $i).
1.46/0.68	thf(func_def_899, type, sK592: $i > $i > $i > $i > $i).
1.46/0.68	thf(func_def_900, type, sK593: $i > $i > $i > $i > $i).
1.46/0.68	thf(func_def_901, type, sK594: $i > $i > $i > $i > $i).
1.46/0.68	thf(func_def_902, type, sK595: $i > $i > ($i > $o) > $i).
1.46/0.68	thf(func_def_903, type, sK596: $i > $o).
1.46/0.68	thf(func_def_911, type, sK604: $i > $o).
1.46/0.68	thf(func_def_913, type, sK606: $i > ($i > $o) > $i).
1.46/0.68	thf(func_def_920, type, sK613: $i > $o).
1.46/0.68	thf(func_def_921, type, sK614: $i > $i).
1.46/0.68	thf(func_def_922, type, sK615: ($i > $o) > $i).
1.46/0.68	thf(func_def_925, type, sK618: $i > $o).
1.46/0.68	thf(func_def_926, type, sK619: ($i > $o) > $i).
1.46/0.68	thf(func_def_940, type, sK633: $i > ($i > $o) > $i).
1.46/0.68	thf(func_def_941, type, sK634: $i > $o).
1.46/0.68	thf(func_def_944, type, sK637: $i > $o).
1.46/0.68	thf(func_def_951, type, sK644: $i > $i > $i > $i).
1.46/0.68	thf(func_def_952, type, sK645: $i > $i > $i > $i).
1.46/0.68	thf(func_def_960, type, sK653: $i > $o).
1.46/0.68	thf(func_def_977, type, sK670: $i > ($i > $o) > $i).
1.46/0.68	thf(func_def_978, type, sK671: $i > $o).
1.46/0.68	thf(func_def_992, type, sK685: $i > $o).
1.46/0.68	thf(func_def_994, type, sK687: ($i > $o) > $i > $i > $i > $i).
1.46/0.68	thf(func_def_995, type, sK688: ($i > $o) > $i > $i > $i > $i).
1.46/0.68	thf(func_def_1008, type, sK701: $i > $o).
1.46/0.68	thf(func_def_1010, type, sK703: ($i > $o) > $i).
1.46/0.68	thf(func_def_1011, type, sK704: ($i > $o) > $i).
1.46/0.68	thf(func_def_1015, type, sK708: $i > $i > $i).
1.46/0.68	thf(func_def_1028, type, sK721: $i > $i > $i).
1.46/0.68	thf(func_def_1036, type, sK729: $i > $o).
1.46/0.68	thf(func_def_1050, type, sK743: $i > $o).
1.46/0.68	thf(func_def_1051, type, sK744: ($i > $o) > $i > $i).
1.46/0.68	thf(func_def_1060, type, sK753: $i > $i > $i > $i).
1.46/0.68	thf(func_def_1067, type, sK760: $i > $i > $i > $i).
1.46/0.68	thf(func_def_1093, type, sK786: $i > $i > $i).
1.46/0.68	thf(func_def_1094, type, sK787: $i > $i > $i).
1.46/0.68	thf(func_def_1095, type, sK788: $i > $i > $i).
1.46/0.68	thf(func_def_1096, type, sK789: $i > $i > $i).
1.46/0.68	thf(func_def_1097, type, sK790: $i > $i > $i).
1.46/0.68	thf(func_def_1098, type, sK791: $i > $i > $i > $i).
1.46/0.68	thf(func_def_1099, type, sK792: $i > $i).
1.46/0.68	thf(func_def_1100, type, sK793: $i > $i).
1.46/0.68	thf(func_def_1101, type, sK794: $i > $i).
1.46/0.68	thf(func_def_1102, type, sK795: $i > $i).
1.46/0.68	thf(func_def_1103, type, sK796: $i > $i > $i).
1.46/0.68	thf(func_def_1104, type, sK797: $i > $i > $i > $i).
1.46/0.68	thf(func_def_1105, type, sK798: $i > $i > $i > $i).
1.46/0.68	thf(func_def_1106, type, sK799: $i > $i > $i).
1.46/0.68	thf(func_def_1107, type, sK800: $i > $i > $i).
1.46/0.68	thf(func_def_1108, type, sK801: $i > $i).
1.46/0.68	thf(func_def_1110, type, sK803: $i > $i).
1.46/0.68	thf(func_def_1111, type, sK804: $i > $i).
1.46/0.68	thf(func_def_1112, type, sK805: $i > $i > $o).
1.46/0.68	thf(func_def_1118, type, ph811: !>[X0: $tType]:(X0)).
1.46/0.68	thf(f4044,plain,(
1.46/0.68	  $false),
1.46/0.68	  inference(trivial_inequality_removal,[],[f4036])).
1.46/0.68	thf(f4036,plain,(
1.46/0.68	  ($true != $true)),
1.46/0.68	  inference(superposition,[],[f3990,f3461])).
1.46/0.68	thf(f3461,plain,(
1.46/0.68	  ($true = (in @ sK660 @ sK659))),
1.46/0.68	  inference(cnf_transformation,[],[f2144])).
1.46/0.68	thf(f2144,plain,(
1.46/0.68	  (setminusIRneg = $true) & (dsetconstrEL = $true) & (setminusSubset2 = $true) & (setminusSubset1 = $true) & (symdiffE = $true) & (binunionRsub = $true) & (vacuousDall = $true) & (subsetRefl = $true) & (prop2setI = $true) & (binintersectER = $true) & (cartprodmempaircEq = $true) & (powersetE = $true) & (subsetI1 = $true) & (emptysetsubset = $true) & (doubleComplementEq = $true) & (eta2 = $true) & (nonemptyE1 = $true) & (ksndsingleton = $true) & (upairsubunion = $true) & (upairequniteq = $true) & (setunionsingleton = $true) & (kpairsurjEq = $true) & (setadjoinOr = $true) & (complementInPowersetComplementIntersect = $true) & (subbreln = $true) & (lamp = $true) & (prop2setE = $true) & (ksndpairEq = $true) & (((in @ sK657 @ (powerset @ sK658)) = $true) & ((($true = (in @ sK660 @ sK658)) & ((in @ sK660 @ (binunion @ sK657 @ sK659)) != $true) & ($true = (in @ sK660 @ sK659))) & ((in @ sK659 @ (powerset @ sK658)) = $true))) & (setukpairinjL = $true) & (setukpairinjL1 = $true) & (powersetE1 = $true) & (doubleComplementSub1 = $true) & (funcinfuncset = $true) & (theeq = $true) & (setextT = $true) & (ubforcartprodlem2 = $true) & (emptyinunitempty = $true) & (setextAx = $true) & (funcGraphProp3 = $true) & (notequalI2 = $true) & (doubleComplementSub2 = $true) & (replAx = $true) & (nonemptyI1 = $true) & (complementT_lem = $true) & (foundationAx = $true) & (funcGraphProp4 = $true) & (emptysetAx = $true) & (symdiffI2 = $true) & (powersetI1 = $true) & (kpairp = $true) & (symdiffIneg2 = $true) & (binintersectTELcontra = $true) & (binintersectSubset3 = $true) & (setukpairinjR2 = $true) & (kfstpairEq = $true) & (setadjoinAx = $true) & (ap2apEq2 = $true) & (setminusERneg = $true) & (notdexE = $true) & (funcext = $true) & (ex1E2 = $true) & (eqimpsubset2 = $true) & (exuE2 = $true) & (binunionT_lem = $true) & (ubforcartprodlem1 = $true) & (dsetconstr__Cong = $true) & (funcGraphProp1 = $true) & (singletonsuniq = $true) & (cartprodfstin = $true) & (powersetTE1 = $true) & (setunionAx = $true) & (cartprodfstpairEq = $true) & (iffalseProp1 = $true) & (singletonsswitch = $true) & (setminusI = $true) & (exuI3 = $true) & (setukpairIL = $true) & (binintersectSubset1 = $true) & (nonemptyImpWitness = $true) & (setukpairIR = $true) & (binintersectEL = $true) & (cartprodpairin = $true) & (exuI2 = $true) & (emptyset__Cong = $true) & (contraSubsetComplement = $true) & (singletonsubset = $true) & (dpsetconstrERa = $true) & (subsetTrans = $true) & (eqimpsubset1 = $true) & (binintersectLsub = $true) & (infuncsetfunc = $true) & (setminusILneg = $true) & (setukpairinjL2 = $true) & (emptyinPowerset = $true) & (emptysetE = $true) & (app = $true) & (subsetE2 = $true) & (iffalse = $true) & (ubforcartprodlem3 = $true) & (complementTcontraSubset = $true) & (cartprodmempair = $true) & (eqbreln = $true) & (iftrueProp2 = $true) & (exuI1 = $true) & (powersetI = $true) & (wellorderingAx = $true) & (powerset__Cong = $true) & (uniqinunit = $true) & (binintersectTERcontra = $true) & (ifp = $true) & (subsetemptysetimpeq = $true) & (complementSubsetComplementIntersect = $true) & (cartprodsndin = $true) & (omega__Cong = $true) & (powersetAx = $true) & (binunionIR = $true) & (brelnall2 = $true) & (sepSubset = $true) & (subsetTI = $true) & (binunionTILcontra = $true) & (funcextLem = $true) & (binintersectRsub = $true) & (cartprodsndpairEq = $true) & (lam2lamEq = $true) & (emptyE1 = $true) & (secondinupair = $true) & (sepInPowerset = $true) & (setunion__Cong = $true) & (quantDeMorgan1 = $true) & (setadjoinSub2 = $true) & (setukpairinjR12 = $true) & (emptyInPowerset = $true) & (exuE3u = $true) & (descr__Cong = $true) & (binintersectT_lem = $true) & (exuEu = $true) & (binintersectSubset5 = $true) & (quantDeMorgan2 = $true) & (singletonprop = $true) & (doubleComplementI1 = $true) & (cartprodpairsurjEq = $true) & (quantDeMorgan4 = $true) & (upairsetE = $true) & (lam2p = $true) & (subset2powerset = $true) & (subPowSU = $true) & (dsetconstrER = $true) & (symdiffIneg1 = $true) & (exuE3e = $true) & (setminusELneg = $true) & (setadjoin__Cong = $true) & (setext = $true) & (setadjoinIL = $true) & (exuE1 = $true) & (setminusEL = $true) & (omegaSAx = $true) & (exu__Cong = $true) & (upairset2E = $true) & (notdallE = $true) & (binintersectI = $true) & (cartprodpairmemER = $true) & (ap2p = $true) & (cartprodmempair1 = $true) & (iffalseProp2 = $true) & (setminusT_lem = $true) & (setunionsingleton2 = $true) & (symdiffI1 = $true) & (contrasubsetT3 = $true) & (upairsetIR = $true) & (quantDeMorgan3 = $true) & (ex1I = $true) & (inPowerset = $true) & (funcGraphProp2 = $true) & (inCongP = $true) & (setadjoinIR = $true) & (noeltsimpempty = $true) & (dpsetconstrEL2 = $true) & (apProp = $true) & (setunionE = $true) & (eta1 = $true) & (omegaIndAx = $true) & (subsetI2 = $true) & (upairset2IR = $true) & (setminusLsub = $true) & (notsubsetI = $true) & (setunionI = $true) & (binunionE = $true) & (kpairiskpair = $true) & (cartprodpairmemEL = $true) & (notequalI1 = $true) & (upairsetIL = $true) & (emptyI = $true) & (nonemptyI = $true) & (ex1I2 = $true) & (dpsetconstrEL1 = $true) & (powersetTI1 = $true) & (funcImageSingleton = $true) & (kfstsingleton = $true) & (disjointsetsI1 = $true) & (doubleComplementE1 = $true) & (subsetE = $true) & (dpsetconstrER = $true) & (complementTnotintersectT = $true) & (binunionLsub = $true) & (in__Cong = $true) & (powersetT_lem = $true) & (setadjoinE = $true) & (setadjoinSub = $true) & (beta2 = $true) & (descrp = $true) & (omega0Ax = $true) & (complementTI1 = $true) & (complementTE1 = $true) & (ex1E1 = $true) & (setminusER = $true) & (setunionE2 = $true) & (prop2set2propI = $true) & (eqinunit = $true) & (iftrueProp1 = $true) & (brelnall1 = $true) & (setextsub = $true) & (powersetsubset = $true) & (binintersectSubset4 = $true) & (contrasubsetT2 = $true) & (iftrue = $true) & (dpsetconstrSub = $true) & (lamProp = $true) & (binintersectSubset2 = $true) & (iftrueorfalse = $true) & (theprop = $true) & (ifSingleton = $true) & (setukpairinjR11 = $true) & (bs114d = $true) & (emptysetimpfalse = $true) & (binunionIL = $true) & (notinsingleton = $true) & (setukpairinjR1 = $true) & (upairinpowunion = $true) & (funcext2 = $true) & (setOfPairsIsBReln = $true) & (setoftrueEq = $true) & (dsetconstrI = $true) & (notinemptyset = $true) & (setukpairinjR = $true) & (contrasubsetT = $true) & (setbeta = $true) & (ap2apEq1 = $true) & (dpsetconstrI = $true) & (beta1 = $true) & (setunionsingleton1 = $true) & (contrasubsetT1 = $true) & (binunionEcases = $true) & (singletoninpowerset = $true) & (complementImpComplementIntersect = $true) & (singletoninpowunion = $true)),
1.46/0.68	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK657,sK658,sK659,sK660])],[f958,f2143,f2142,f2141])).
1.46/0.68	thf(f2141,plain,(
1.46/0.68	  ? [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) & ? [X2] : (? [X3] : (((in @ X3 @ X1) = $true) & ($true != (in @ X3 @ (binunion @ X0 @ X2))) & ((in @ X3 @ X2) = $true)) & ((in @ X2 @ (powerset @ X1)) = $true))) => (((in @ sK657 @ (powerset @ sK658)) = $true) & ? [X2] : (? [X3] : (((in @ X3 @ sK658) = $true) & ((in @ X3 @ (binunion @ sK657 @ X2)) != $true) & ((in @ X3 @ X2) = $true)) & ($true = (in @ X2 @ (powerset @ sK658)))))),
1.46/0.68	  introduced(choice_axiom,[])).
1.46/0.68	thf(f2142,plain,(
1.46/0.68	  ? [X2] : (? [X3] : (((in @ X3 @ sK658) = $true) & ((in @ X3 @ (binunion @ sK657 @ X2)) != $true) & ((in @ X3 @ X2) = $true)) & ($true = (in @ X2 @ (powerset @ sK658)))) => (? [X3] : (((in @ X3 @ sK658) = $true) & ((in @ X3 @ (binunion @ sK657 @ sK659)) != $true) & ((in @ X3 @ sK659) = $true)) & ((in @ sK659 @ (powerset @ sK658)) = $true))),
1.46/0.68	  introduced(choice_axiom,[])).
1.46/0.68	thf(f2143,plain,(
1.46/0.68	  ? [X3] : (((in @ X3 @ sK658) = $true) & ((in @ X3 @ (binunion @ sK657 @ sK659)) != $true) & ((in @ X3 @ sK659) = $true)) => (($true = (in @ sK660 @ sK658)) & ((in @ sK660 @ (binunion @ sK657 @ sK659)) != $true) & ($true = (in @ sK660 @ sK659)))),
1.46/0.68	  introduced(choice_axiom,[])).
1.46/0.68	thf(f958,plain,(
1.46/0.68	  (setminusIRneg = $true) & (dsetconstrEL = $true) & (setminusSubset2 = $true) & (setminusSubset1 = $true) & (symdiffE = $true) & (binunionRsub = $true) & (vacuousDall = $true) & (subsetRefl = $true) & (prop2setI = $true) & (binintersectER = $true) & (cartprodmempaircEq = $true) & (powersetE = $true) & (subsetI1 = $true) & (emptysetsubset = $true) & (doubleComplementEq = $true) & (eta2 = $true) & (nonemptyE1 = $true) & (ksndsingleton = $true) & (upairsubunion = $true) & (upairequniteq = $true) & (setunionsingleton = $true) & (kpairsurjEq = $true) & (setadjoinOr = $true) & (complementInPowersetComplementIntersect = $true) & (subbreln = $true) & (lamp = $true) & (prop2setE = $true) & (ksndpairEq = $true) & ? [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) & ? [X2] : (? [X3] : (((in @ X3 @ X1) = $true) & ($true != (in @ X3 @ (binunion @ X0 @ X2))) & ((in @ X3 @ X2) = $true)) & ((in @ X2 @ (powerset @ X1)) = $true))) & (setukpairinjL = $true) & (setukpairinjL1 = $true) & (powersetE1 = $true) & (doubleComplementSub1 = $true) & (funcinfuncset = $true) & (theeq = $true) & (setextT = $true) & (ubforcartprodlem2 = $true) & (emptyinunitempty = $true) & (setextAx = $true) & (funcGraphProp3 = $true) & (notequalI2 = $true) & (doubleComplementSub2 = $true) & (replAx = $true) & (nonemptyI1 = $true) & (complementT_lem = $true) & (foundationAx = $true) & (funcGraphProp4 = $true) & (emptysetAx = $true) & (symdiffI2 = $true) & (powersetI1 = $true) & (kpairp = $true) & (symdiffIneg2 = $true) & (binintersectTELcontra = $true) & (binintersectSubset3 = $true) & (setukpairinjR2 = $true) & (kfstpairEq = $true) & (setadjoinAx = $true) & (ap2apEq2 = $true) & (setminusERneg = $true) & (notdexE = $true) & (funcext = $true) & (ex1E2 = $true) & (eqimpsubset2 = $true) & (exuE2 = $true) & (binunionT_lem = $true) & (ubforcartprodlem1 = $true) & (dsetconstr__Cong = $true) & (funcGraphProp1 = $true) & (singletonsuniq = $true) & (cartprodfstin = $true) & (powersetTE1 = $true) & (setunionAx = $true) & (cartprodfstpairEq = $true) & (iffalseProp1 = $true) & (singletonsswitch = $true) & (setminusI = $true) & (exuI3 = $true) & (setukpairIL = $true) & (binintersectSubset1 = $true) & (nonemptyImpWitness = $true) & (setukpairIR = $true) & (binintersectEL = $true) & (cartprodpairin = $true) & (exuI2 = $true) & (emptyset__Cong = $true) & (contraSubsetComplement = $true) & (singletonsubset = $true) & (dpsetconstrERa = $true) & (subsetTrans = $true) & (eqimpsubset1 = $true) & (binintersectLsub = $true) & (infuncsetfunc = $true) & (setminusILneg = $true) & (setukpairinjL2 = $true) & (emptyinPowerset = $true) & (emptysetE = $true) & (app = $true) & (subsetE2 = $true) & (iffalse = $true) & (ubforcartprodlem3 = $true) & (complementTcontraSubset = $true) & (cartprodmempair = $true) & (eqbreln = $true) & (iftrueProp2 = $true) & (exuI1 = $true) & (powersetI = $true) & (wellorderingAx = $true) & (powerset__Cong = $true) & (uniqinunit = $true) & (binintersectTERcontra = $true) & (ifp = $true) & (subsetemptysetimpeq = $true) & (complementSubsetComplementIntersect = $true) & (cartprodsndin = $true) & (omega__Cong = $true) & (powersetAx = $true) & (binunionIR = $true) & (brelnall2 = $true) & (sepSubset = $true) & (subsetTI = $true) & (binunionTILcontra = $true) & (funcextLem = $true) & (binintersectRsub = $true) & (cartprodsndpairEq = $true) & (lam2lamEq = $true) & (emptyE1 = $true) & (secondinupair = $true) & (sepInPowerset = $true) & (setunion__Cong = $true) & (quantDeMorgan1 = $true) & (setadjoinSub2 = $true) & (setukpairinjR12 = $true) & (emptyInPowerset = $true) & (exuE3u = $true) & (descr__Cong = $true) & (binintersectT_lem = $true) & (exuEu = $true) & (binintersectSubset5 = $true) & (quantDeMorgan2 = $true) & (singletonprop = $true) & (doubleComplementI1 = $true) & (cartprodpairsurjEq = $true) & (quantDeMorgan4 = $true) & (upairsetE = $true) & (lam2p = $true) & (subset2powerset = $true) & (subPowSU = $true) & (dsetconstrER = $true) & (symdiffIneg1 = $true) & (exuE3e = $true) & (setminusELneg = $true) & (setadjoin__Cong = $true) & (setext = $true) & (setadjoinIL = $true) & (exuE1 = $true) & (setminusEL = $true) & (omegaSAx = $true) & (exu__Cong = $true) & (upairset2E = $true) & (notdallE = $true) & (binintersectI = $true) & (cartprodpairmemER = $true) & (ap2p = $true) & (cartprodmempair1 = $true) & (iffalseProp2 = $true) & (setminusT_lem = $true) & (setunionsingleton2 = $true) & (symdiffI1 = $true) & (contrasubsetT3 = $true) & (upairsetIR = $true) & (quantDeMorgan3 = $true) & (ex1I = $true) & (inPowerset = $true) & (funcGraphProp2 = $true) & (inCongP = $true) & (setadjoinIR = $true) & (noeltsimpempty = $true) & (dpsetconstrEL2 = $true) & (apProp = $true) & (setunionE = $true) & (eta1 = $true) & (omegaIndAx = $true) & (subsetI2 = $true) & (upairset2IR = $true) & (setminusLsub = $true) & (notsubsetI = $true) & (setunionI = $true) & (binunionE = $true) & (kpairiskpair = $true) & (cartprodpairmemEL = $true) & (notequalI1 = $true) & (upairsetIL = $true) & (emptyI = $true) & (nonemptyI = $true) & (ex1I2 = $true) & (dpsetconstrEL1 = $true) & (powersetTI1 = $true) & (funcImageSingleton = $true) & (kfstsingleton = $true) & (disjointsetsI1 = $true) & (doubleComplementE1 = $true) & (subsetE = $true) & (dpsetconstrER = $true) & (complementTnotintersectT = $true) & (binunionLsub = $true) & (in__Cong = $true) & (powersetT_lem = $true) & (setadjoinE = $true) & (setadjoinSub = $true) & (beta2 = $true) & (descrp = $true) & (omega0Ax = $true) & (complementTI1 = $true) & (complementTE1 = $true) & (ex1E1 = $true) & (setminusER = $true) & (setunionE2 = $true) & (prop2set2propI = $true) & (eqinunit = $true) & (iftrueProp1 = $true) & (brelnall1 = $true) & (setextsub = $true) & (powersetsubset = $true) & (binintersectSubset4 = $true) & (contrasubsetT2 = $true) & (iftrue = $true) & (dpsetconstrSub = $true) & (lamProp = $true) & (binintersectSubset2 = $true) & (iftrueorfalse = $true) & (theprop = $true) & (ifSingleton = $true) & (setukpairinjR11 = $true) & (bs114d = $true) & (emptysetimpfalse = $true) & (binunionIL = $true) & (notinsingleton = $true) & (setukpairinjR1 = $true) & (upairinpowunion = $true) & (funcext2 = $true) & (setOfPairsIsBReln = $true) & (setoftrueEq = $true) & (dsetconstrI = $true) & (notinemptyset = $true) & (setukpairinjR = $true) & (contrasubsetT = $true) & (setbeta = $true) & (ap2apEq1 = $true) & (dpsetconstrI = $true) & (beta1 = $true) & (setunionsingleton1 = $true) & (contrasubsetT1 = $true) & (binunionEcases = $true) & (singletoninpowerset = $true) & (complementImpComplementIntersect = $true) & (singletoninpowunion = $true)),
1.46/0.68	  inference(flattening,[],[f957])).
1.46/0.68	thf(f957,plain,(
1.46/0.68	  ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : (? [X3] : ((((in @ X3 @ X2) = $true) & ($true != (in @ X3 @ (binunion @ X0 @ X2)))) & ((in @ X3 @ X1) = $true)) & ((in @ X2 @ (powerset @ X1)) = $true)) & ((in @ X0 @ (powerset @ X1)) = $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)),
1.46/0.68	  inference(ennf_transformation,[],[f798])).
1.46/0.68	thf(f798,plain,(
1.46/0.68	  ~((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) => ! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) => ! [X2] : (((in @ X2 @ (powerset @ X1)) = $true) => ! [X3] : (((in @ X3 @ X1) = $true) => (($true != (in @ X3 @ (binunion @ X0 @ X2))) => ((in @ X3 @ X2) != $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.46/0.68	  inference(flattening,[],[f456])).
1.46/0.68	thf(f456,plain,(
1.46/0.68	  ~((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) => ! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) => ! [X2] : (((in @ X2 @ (powerset @ X1)) = $true) => ! [X3] : (((in @ X3 @ X1) = $true) => (~($true = (in @ X3 @ (binunion @ X0 @ X2))) => ~((in @ X3 @ X2) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.46/0.68	  inference(fool_elimination,[],[f455])).
1.46/0.68	thf(f455,plain,(
1.46/0.68	  ~(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 => ! [X0,X1] : ((in @ X0 @ (powerset @ X1)) => ! [X2] : ((in @ X2 @ (powerset @ X1)) => ! [X3] : ((in @ X3 @ X1) => (~(in @ X3 @ (binunion @ X0 @ X2)) => ~(in @ X3 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.46/0.68	  inference(rectify,[],[f261])).
1.46/0.68	thf(f261,negated_conjecture,(
1.46/0.68	  ~(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 => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => (~(in @ X1 @ (binunion @ X11 @ X16)) => ~(in @ X1 @ X16))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.46/0.68	  inference(negated_conjecture,[],[f260])).
1.46/0.68	thf(f260,conjecture,(
1.46/0.68	  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 => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => (~(in @ X1 @ (binunion @ X11 @ X16)) => ~(in @ X1 @ X16)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.46/0.68	  file('/export/starexec/sandbox2/tmp/tmp.Oy98U2ABi2/E---3.1_2342.p',binunionTIRcontra)).
1.46/0.68	thf(f3990,plain,(
1.46/0.68	  ($true != (in @ sK660 @ sK659))),
1.46/0.68	  inference(trivial_inequality_removal,[],[f3989])).
1.46/0.68	thf(f3989,plain,(
1.46/0.68	  ($true != (in @ sK660 @ sK659)) | ($true != $true)),
1.46/0.68	  inference(forward_demodulation,[],[f3988,f3372])).
1.46/0.68	thf(f3372,plain,(
1.46/0.68	  (binunionIR = $true)),
1.46/0.68	  inference(cnf_transformation,[],[f2144])).
1.46/0.68	thf(f3988,plain,(
1.46/0.68	  (binunionIR != $true) | ($true != (in @ sK660 @ sK659))),
1.46/0.68	  inference(trivial_inequality_removal,[],[f3975])).
1.46/0.68	thf(f3975,plain,(
1.46/0.68	  (binunionIR != $true) | ($true != (in @ sK660 @ sK659)) | ($true != $true)),
1.46/0.68	  inference(superposition,[],[f3462,f2841])).
1.46/0.68	thf(f2841,plain,(
1.46/0.68	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X2 @ (binunion @ X0 @ X1)) = $true) | ((in @ X2 @ X1) != $true) | (binunionIR != $true)) )),
1.46/0.68	  inference(cnf_transformation,[],[f1679])).
1.46/0.68	thf(f1679,plain,(
1.46/0.68	  (! [X0,X1,X2] : (((in @ X2 @ (binunion @ X0 @ X1)) = $true) | ((in @ X2 @ X1) != $true)) | (binunionIR != $true)) & ((binunionIR = $true) | (((in @ sK356 @ (binunion @ sK354 @ sK355)) != $true) & ((in @ sK356 @ sK355) = $true)))),
1.46/0.68	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK354,sK355,sK356])],[f1677,f1678])).
1.46/0.68	thf(f1678,plain,(
1.46/0.68	  ? [X3,X4,X5] : (((in @ X5 @ (binunion @ X3 @ X4)) != $true) & ((in @ X5 @ X4) = $true)) => (((in @ sK356 @ (binunion @ sK354 @ sK355)) != $true) & ((in @ sK356 @ sK355) = $true))),
1.46/0.68	  introduced(choice_axiom,[])).
1.46/0.68	thf(f1677,plain,(
1.46/0.68	  (! [X0,X1,X2] : (((in @ X2 @ (binunion @ X0 @ X1)) = $true) | ((in @ X2 @ X1) != $true)) | (binunionIR != $true)) & ((binunionIR = $true) | ? [X3,X4,X5] : (((in @ X5 @ (binunion @ X3 @ X4)) != $true) & ((in @ X5 @ X4) = $true)))),
1.46/0.68	  inference(rectify,[],[f1676])).
1.46/0.68	thf(f1676,plain,(
1.46/0.68	  (! [X0,X1,X2] : (((in @ X2 @ (binunion @ X0 @ X1)) = $true) | ((in @ X2 @ X1) != $true)) | (binunionIR != $true)) & ((binunionIR = $true) | ? [X0,X1,X2] : (((in @ X2 @ (binunion @ X0 @ X1)) != $true) & ((in @ X2 @ X1) = $true)))),
1.46/0.68	  inference(nnf_transformation,[],[f1025])).
1.46/0.68	thf(f1025,plain,(
1.46/0.68	  ! [X0,X1,X2] : (((in @ X2 @ (binunion @ X0 @ X1)) = $true) | ((in @ X2 @ X1) != $true)) <=> (binunionIR = $true)),
1.46/0.68	  inference(ennf_transformation,[],[f704])).
1.46/0.68	thf(f704,plain,(
1.46/0.68	  ! [X0,X1,X2] : (((in @ X2 @ X1) = $true) => ((in @ X2 @ (binunion @ X0 @ X1)) = $true)) <=> (binunionIR = $true)),
1.46/0.68	  inference(fool_elimination,[],[f703])).
1.46/0.68	thf(f703,plain,(
1.46/0.68	  (binunionIR = ! [X0,X1,X2] : ((in @ X2 @ X1) => (in @ X2 @ (binunion @ X0 @ X1))))),
1.46/0.68	  inference(rectify,[],[f103])).
1.46/0.68	thf(f103,axiom,(
1.46/0.68	  (binunionIR = ! [X3,X4,X1] : ((in @ X1 @ X4) => (in @ X1 @ (binunion @ X3 @ X4))))),
1.46/0.68	  file('/export/starexec/sandbox2/tmp/tmp.Oy98U2ABi2/E---3.1_2342.p',binunionIR)).
1.46/0.68	thf(f3462,plain,(
1.46/0.68	  ((in @ sK660 @ (binunion @ sK657 @ sK659)) != $true)),
1.46/0.68	  inference(cnf_transformation,[],[f2144])).
1.46/0.68	% SZS output end Proof for E---3.1_2342
1.46/0.68	% (2620)------------------------------
1.46/0.68	% (2620)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.46/0.68	% (2620)Termination reason: Refutation
1.46/0.68	
1.46/0.68	% (2620)Memory used [KB]: 10106
1.46/0.68	% (2620)Time elapsed: 0.139 s
1.46/0.68	% (2620)Instructions burned: 307 (million)
1.46/0.68	% (2620)------------------------------
1.46/0.68	% (2620)------------------------------
1.46/0.68	% (2593)Success in time 0.255 s
1.46/0.68	EOF