0.03/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.11	% Command    : run_vampire %s %d THM
0.10/0.32	% Computer : n014.cluster.edu
0.10/0.32	% Model    : x86_64 x86_64
0.10/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.32	% Memory   : 8042.1875MB
0.10/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.10/0.32	% CPULimit   : 1440
0.10/0.32	% WCLimit    : 180
0.10/0.32	% DateTime   : Thu Jul  4 05:48:23 EDT 2024
0.10/0.32	% CPUTime    : 
0.10/0.33	This is a THF_ problem
0.10/0.33	Running higher-order theorem proving
0.17/0.36	Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.F5LgWqoqz4/E---3.1_20633.p -m 16384 -t 180
0.17/0.39	% (20744)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_20633 for (1799ds/2Mi)
0.17/0.39	% (20742)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_20633 for (1799ds/4Mi)
0.17/0.39	% (20741)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_20633 for (1799ds/183Mi)
0.17/0.39	% (20747)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_20633 for (1799ds/18Mi)
0.17/0.39	% (20746)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_20633 for (1799ds/275Mi)
0.17/0.39	% (20745)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_20633 for (1799ds/2Mi)
0.17/0.39	% (20743)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_20633 for (1799ds/27Mi)
0.17/0.39	% (20744)Instruction limit reached!
0.17/0.39	% (20744)------------------------------
0.17/0.39	% (20744)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.39	% (20744)Termination reason: Unknown
0.17/0.39	% (20744)Termination phase: shuffling
0.17/0.39	
0.17/0.39	% (20744)Memory used [KB]: 1279
0.17/0.39	% (20744)Time elapsed: 0.004 s
0.17/0.39	% (20744)Instructions burned: 2 (million)
0.17/0.39	% (20744)------------------------------
0.17/0.39	% (20744)------------------------------
0.17/0.39	% (20742)Instruction limit reached!
0.17/0.39	% (20742)------------------------------
0.17/0.39	% (20742)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.39	% (20742)Termination reason: Unknown
0.17/0.39	% (20742)Termination phase: shuffling
0.17/0.39	
0.17/0.39	% (20742)Memory used [KB]: 1279
0.17/0.39	% (20742)Time elapsed: 0.004 s
0.17/0.39	% (20742)Instructions burned: 4 (million)
0.17/0.39	% (20742)------------------------------
0.17/0.39	% (20742)------------------------------
0.17/0.39	% (20745)Instruction limit reached!
0.17/0.39	% (20745)------------------------------
0.17/0.39	% (20745)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.39	% (20745)Termination reason: Unknown
0.17/0.39	% (20745)Termination phase: shuffling
0.17/0.39	
0.17/0.39	% (20745)Memory used [KB]: 1279
0.17/0.39	% (20745)Time elapsed: 0.003 s
0.17/0.39	% (20745)Instructions burned: 3 (million)
0.17/0.39	% (20745)------------------------------
0.17/0.39	% (20745)------------------------------
0.17/0.40	% (20747)Instruction limit reached!
0.17/0.40	% (20747)------------------------------
0.17/0.40	% (20747)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.40	% (20747)Termination reason: Unknown
0.17/0.40	% (20747)Termination phase: Preprocessing 2
0.17/0.40	
0.17/0.40	% (20747)Memory used [KB]: 1535
0.17/0.40	% (20747)Time elapsed: 0.011 s
0.17/0.40	% (20747)Instructions burned: 19 (million)
0.17/0.40	% (20747)------------------------------
0.17/0.40	% (20747)------------------------------
0.17/0.40	% (20743)Instruction limit reached!
0.17/0.40	% (20743)------------------------------
0.17/0.40	% (20743)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.40	% (20743)Termination reason: Unknown
0.17/0.40	% (20743)Termination phase: Property scanning
0.17/0.40	
0.17/0.40	% (20743)Memory used [KB]: 1663
0.17/0.40	% (20743)Time elapsed: 0.014 s
0.17/0.40	% (20743)Instructions burned: 27 (million)
0.17/0.40	% (20743)------------------------------
0.17/0.40	% (20743)------------------------------
0.17/0.40	% (20748)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_20633 for (1799ds/3Mi)
0.17/0.40	% (20749)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_20633 for (1799ds/37Mi)
0.17/0.40	% (20748)Instruction limit reached!
0.17/0.40	% (20748)------------------------------
0.17/0.40	% (20748)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.40	% (20748)Termination reason: Unknown
0.17/0.40	% (20748)Termination phase: shuffling
0.17/0.40	
0.17/0.40	% (20748)Memory used [KB]: 1279
0.17/0.40	% (20748)Time elapsed: 0.003 s
0.17/0.40	% (20748)Instructions burned: 3 (million)
0.17/0.40	% (20748)------------------------------
0.17/0.40	% (20748)------------------------------
0.17/0.40	% (20750)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_20633 for (1799ds/15Mi)
0.17/0.41	% (20750)Instruction limit reached!
0.17/0.41	% (20750)------------------------------
0.17/0.41	% (20750)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.41	% (20751)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_20633 for (1799ds/3Mi)
0.17/0.41	% (20750)Termination reason: Unknown
0.17/0.41	% (20750)Termination phase: Property scanning
0.17/0.41	
0.17/0.41	% (20750)Memory used [KB]: 1535
0.17/0.41	% (20750)Time elapsed: 0.009 s
0.17/0.41	% (20750)Instructions burned: 15 (million)
0.17/0.41	% (20750)------------------------------
0.17/0.41	% (20750)------------------------------
0.17/0.41	% (20751)Instruction limit reached!
0.17/0.41	% (20751)------------------------------
0.17/0.41	% (20751)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.41	% (20751)Termination reason: Unknown
0.17/0.41	% (20751)Termination phase: shuffling
0.17/0.41	
0.17/0.41	% (20751)Memory used [KB]: 1279
0.17/0.41	% (20751)Time elapsed: 0.004 s
0.17/0.41	% (20751)Instructions burned: 3 (million)
0.17/0.41	% (20751)------------------------------
0.17/0.41	% (20751)------------------------------
0.17/0.41	% (20752)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_20633 for (1799ds/1041Mi)
0.17/0.42	% (20753)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_20633 for (1799ds/7Mi)
0.17/0.42	% (20749)Instruction limit reached!
0.17/0.42	% (20749)------------------------------
0.17/0.42	% (20749)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.42	% (20749)Termination reason: Unknown
0.17/0.42	% (20749)Termination phase: Property scanning
0.17/0.42	
0.17/0.42	% (20749)Memory used [KB]: 1791
0.17/0.42	% (20749)Time elapsed: 0.018 s
0.17/0.42	% (20749)Instructions burned: 37 (million)
0.17/0.42	% (20749)------------------------------
0.17/0.42	% (20749)------------------------------
0.17/0.42	% (20753)Instruction limit reached!
0.17/0.42	% (20753)------------------------------
0.17/0.42	% (20753)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.42	% (20753)Termination reason: Unknown
0.17/0.42	% (20753)Termination phase: shuffling
0.17/0.42	
0.17/0.42	% (20753)Memory used [KB]: 1407
0.17/0.42	% (20753)Time elapsed: 0.005 s
0.17/0.42	% (20753)Instructions burned: 8 (million)
0.17/0.42	% (20753)------------------------------
0.17/0.42	% (20753)------------------------------
0.17/0.43	% (20755)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_20633 for (1799ds/3Mi)
0.17/0.43	% (20754)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_20633 for (1799ds/16Mi)
0.17/0.43	% (20755)Instruction limit reached!
0.17/0.43	% (20755)------------------------------
0.17/0.43	% (20755)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.43	% (20755)Termination reason: Unknown
0.17/0.43	% (20755)Termination phase: shuffling
0.17/0.43	
0.17/0.43	% (20755)Memory used [KB]: 1279
0.17/0.43	% (20755)Time elapsed: 0.003 s
0.17/0.43	% (20755)Instructions burned: 3 (million)
0.17/0.43	% (20755)------------------------------
0.17/0.43	% (20755)------------------------------
0.17/0.43	% (20756)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_20633 for (1799ds/3Mi)
0.17/0.43	% (20757)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_20633 for (1799ds/7Mi)
0.17/0.43	% (20754)Instruction limit reached!
0.17/0.43	% (20754)------------------------------
0.17/0.43	% (20754)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.43	% (20754)Termination reason: Unknown
0.17/0.43	% (20754)Termination phase: shuffling
0.17/0.43	
0.17/0.43	% (20754)Memory used [KB]: 1663
0.17/0.43	% (20754)Time elapsed: 0.010 s
0.17/0.43	% (20754)Instructions burned: 16 (million)
0.17/0.43	% (20754)------------------------------
0.17/0.43	% (20754)------------------------------
0.17/0.43	% (20756)Instruction limit reached!
0.17/0.43	% (20756)------------------------------
0.17/0.43	% (20756)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.43	% (20756)Termination reason: Unknown
0.17/0.43	% (20756)Termination phase: shuffling
0.17/0.43	
0.17/0.43	% (20756)Memory used [KB]: 1279
0.17/0.43	% (20756)Time elapsed: 0.003 s
0.17/0.43	% (20756)Instructions burned: 3 (million)
0.17/0.43	% (20756)------------------------------
0.17/0.43	% (20756)------------------------------
0.17/0.44	% (20757)Instruction limit reached!
0.17/0.44	% (20757)------------------------------
0.17/0.44	% (20757)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.17/0.44	% (20757)Termination reason: Unknown
0.17/0.44	% (20757)Termination phase: shuffling
0.17/0.44	
0.17/0.44	% (20757)Memory used [KB]: 1407
0.17/0.44	% (20757)Time elapsed: 0.005 s
0.17/0.44	% (20757)Instructions burned: 7 (million)
0.17/0.44	% (20757)------------------------------
0.17/0.44	% (20757)------------------------------
0.20/0.44	% (20758)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_20633 for (1799ds/3Mi)
0.20/0.44	% (20758)Instruction limit reached!
0.20/0.44	% (20758)------------------------------
0.20/0.44	% (20758)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.20/0.44	% (20758)Termination reason: Unknown
0.20/0.44	% (20758)Termination phase: shuffling
0.20/0.44	
0.20/0.44	% (20758)Memory used [KB]: 1279
0.20/0.44	% (20758)Time elapsed: 0.003 s
0.20/0.44	% (20758)Instructions burned: 3 (million)
0.20/0.44	% (20758)------------------------------
0.20/0.44	% (20758)------------------------------
0.20/0.45	% (20759)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_20633 for (1799ds/4Mi)
0.20/0.45	% (20760)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_20633 for (1799ds/18Mi)
0.20/0.45	% (20759)Instruction limit reached!
0.20/0.45	% (20759)------------------------------
0.20/0.45	% (20759)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.20/0.45	% (20759)Termination reason: Unknown
0.20/0.45	% (20759)Termination phase: shuffling
0.20/0.45	
0.20/0.45	% (20759)Memory used [KB]: 1279
0.20/0.45	% (20759)Time elapsed: 0.004 s
0.20/0.45	% (20759)Instructions burned: 6 (million)
0.20/0.45	% (20759)------------------------------
0.20/0.45	% (20759)------------------------------
0.20/0.45	% (20761)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_20633 for (1799ds/710Mi)
0.20/0.46	% (20762)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_20633 for (1799ds/6Mi)
0.20/0.46	% (20760)Instruction limit reached!
0.20/0.46	% (20760)------------------------------
0.20/0.46	% (20760)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.20/0.46	% (20760)Termination reason: Unknown
0.20/0.46	% (20760)Termination phase: shuffling
0.20/0.46	
0.20/0.46	% (20760)Memory used [KB]: 1663
0.20/0.46	% (20760)Time elapsed: 0.011 s
0.20/0.46	% (20760)Instructions burned: 19 (million)
0.20/0.46	% (20760)------------------------------
0.20/0.46	% (20760)------------------------------
0.20/0.46	% (20762)Instruction limit reached!
0.20/0.46	% (20762)------------------------------
0.20/0.46	% (20762)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.20/0.46	% (20762)Termination reason: Unknown
0.20/0.46	% (20762)Termination phase: shuffling
0.20/0.46	
0.20/0.46	% (20762)Memory used [KB]: 1407
0.20/0.46	% (20762)Time elapsed: 0.005 s
0.20/0.46	% (20762)Instructions burned: 8 (million)
0.20/0.46	% (20762)------------------------------
0.20/0.46	% (20762)------------------------------
0.20/0.46	% (20763)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_20633 for (1799ds/902Mi)
0.20/0.47	% (20741)Instruction limit reached!
0.20/0.47	% (20741)------------------------------
0.20/0.47	% (20741)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.20/0.47	% (20741)Termination reason: Unknown
0.20/0.47	% (20741)Termination phase: Saturation
0.20/0.47	
0.20/0.47	% (20741)Memory used [KB]: 7419
0.20/0.47	% (20741)Time elapsed: 0.084 s
0.20/0.47	% (20741)Instructions burned: 184 (million)
0.20/0.47	% (20741)------------------------------
0.20/0.47	% (20741)------------------------------
0.20/0.47	% (20764)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_20633 for (1799ds/21Mi)
0.20/0.47	% (20765)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_20633 for (1799ds/5Mi)
0.20/0.48	% (20765)Instruction limit reached!
0.20/0.48	% (20765)------------------------------
0.20/0.48	% (20765)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.20/0.48	% (20765)Termination reason: Unknown
0.20/0.48	% (20765)Termination phase: shuffling
0.20/0.48	
0.20/0.48	% (20765)Memory used [KB]: 1279
0.20/0.48	% (20765)Time elapsed: 0.004 s
0.20/0.48	% (20765)Instructions burned: 6 (million)
0.20/0.48	% (20765)------------------------------
0.20/0.48	% (20765)------------------------------
0.20/0.48	% (20764)Instruction limit reached!
0.20/0.48	% (20764)------------------------------
0.20/0.48	% (20764)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.20/0.48	% (20764)Termination reason: Unknown
0.20/0.48	% (20764)Termination phase: Property scanning
0.20/0.48	
0.20/0.48	% (20764)Memory used [KB]: 1791
0.20/0.48	% (20764)Time elapsed: 0.012 s
0.20/0.48	% (20764)Instructions burned: 22 (million)
0.20/0.48	% (20764)------------------------------
0.20/0.48	% (20764)------------------------------
0.20/0.48	% (20766)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_20633 for (1798ds/6Mi)
0.20/0.49	% (20766)Instruction limit reached!
0.20/0.49	% (20766)------------------------------
0.20/0.49	% (20766)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.20/0.49	% (20766)Termination reason: Unknown
0.20/0.49	% (20766)Termination phase: shuffling
0.20/0.49	
0.20/0.49	% (20766)Memory used [KB]: 1407
0.20/0.49	% (20766)Time elapsed: 0.005 s
0.20/0.49	% (20766)Instructions burned: 7 (million)
0.20/0.49	% (20766)------------------------------
0.20/0.49	% (20766)------------------------------
0.20/0.49	% (20767)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_20633 for (1798ds/377Mi)
0.20/0.49	% (20768)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_20633 for (1798ds/779Mi)
0.20/0.50	% (20769)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_20633 for (1798ds/19Mi)
0.20/0.51	% (20769)Instruction limit reached!
0.20/0.51	% (20769)------------------------------
0.20/0.51	% (20769)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.20/0.51	% (20769)Termination reason: Unknown
0.20/0.51	% (20769)Termination phase: shuffling
0.20/0.51	
0.20/0.51	% (20769)Memory used [KB]: 1663
0.20/0.51	% (20769)Time elapsed: 0.011 s
0.20/0.51	% (20769)Instructions burned: 19 (million)
0.20/0.51	% (20769)------------------------------
0.20/0.51	% (20769)------------------------------
0.20/0.53	% (20770)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_20633 for (1798ds/879Mi)
0.20/0.53	% (20746)Instruction limit reached!
0.20/0.53	% (20746)------------------------------
0.20/0.53	% (20746)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.20/0.53	% (20746)Termination reason: Unknown
0.20/0.53	% (20746)Termination phase: Saturation
0.20/0.53	
0.20/0.53	% (20746)Memory used [KB]: 8059
0.20/0.53	% (20746)Time elapsed: 0.144 s
0.20/0.53	% (20746)Instructions burned: 275 (million)
0.20/0.53	% (20746)------------------------------
0.20/0.53	% (20746)------------------------------
0.20/0.53	% (20763)Refutation not found, incomplete strategy
0.20/0.53	% (20763)------------------------------
0.20/0.53	% (20763)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.20/0.53	% (20763)Termination reason: Refutation not found, incomplete strategy
0.20/0.53	
0.20/0.53	
0.20/0.53	% (20763)Memory used [KB]: 7675
0.20/0.53	% (20763)Time elapsed: 0.070 s
0.20/0.53	% (20763)Instructions burned: 138 (million)
0.20/0.53	% (20763)------------------------------
0.20/0.53	% (20763)------------------------------
0.20/0.55	% (20771)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_20633 for (1798ds/17Mi)
0.20/0.55	% (20772)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_20633 for (1798ds/3Mi)
0.20/0.55	% (20772)Instruction limit reached!
0.20/0.55	% (20772)------------------------------
0.20/0.55	% (20772)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.20/0.55	% (20772)Termination reason: Unknown
0.20/0.55	% (20772)Termination phase: shuffling
0.20/0.55	
0.20/0.55	% (20772)Memory used [KB]: 1279
0.20/0.55	% (20772)Time elapsed: 0.003 s
0.20/0.55	% (20772)Instructions burned: 4 (million)
0.20/0.55	% (20772)------------------------------
0.20/0.55	% (20772)------------------------------
0.20/0.55	% (20771)Instruction limit reached!
0.20/0.55	% (20771)------------------------------
0.20/0.55	% (20771)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.20/0.55	% (20771)Termination reason: Unknown
0.20/0.55	% (20771)Termination phase: shuffling
0.20/0.55	
0.20/0.55	% (20771)Memory used [KB]: 1663
0.20/0.55	% (20771)Time elapsed: 0.010 s
0.20/0.55	% (20771)Instructions burned: 17 (million)
0.20/0.55	% (20771)------------------------------
0.20/0.55	% (20771)------------------------------
1.39/0.56	% (20761)First to succeed.
1.39/0.56	% (20773)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_20633 for (1798ds/30Mi)
1.39/0.56	% (20761)Refutation found. Thanks to Tanya!
1.39/0.56	% SZS status Theorem for E---3.1_20633
1.39/0.56	% SZS output start Proof for E---3.1_20633
1.39/0.56	thf(func_def_0, type, in: $i > $i > $o).
1.39/0.56	thf(func_def_1, type, exu: ($i > $o) > $o).
1.39/0.56	thf(func_def_6, type, setadjoin: $i > $i > $i).
1.39/0.56	thf(func_def_8, type, powerset: $i > $i).
1.39/0.56	thf(func_def_10, type, setunion: $i > $i).
1.39/0.56	thf(func_def_19, type, descr: ($i > $o) > $i).
1.39/0.56	thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
1.39/0.56	thf(func_def_26, type, prop2set: $o > $i).
1.39/0.56	thf(func_def_36, type, nonempty: $i > $o).
1.39/0.56	thf(func_def_69, type, set2prop: $i > $o).
1.39/0.56	thf(func_def_88, type, subset: $i > $i > $o).
1.39/0.56	thf(func_def_89, type, disjoint: $i > $i > $o).
1.39/0.56	thf(func_def_90, type, setsmeet: $i > $i > $o).
1.39/0.56	thf(func_def_114, type, binunion: $i > $i > $i).
1.39/0.56	thf(func_def_122, type, binintersect: $i > $i > $i).
1.39/0.56	thf(func_def_135, type, regular: $i > $o).
1.39/0.56	thf(func_def_136, type, setminus: $i > $i > $i).
1.39/0.56	thf(func_def_147, type, symdiff: $i > $i > $i).
1.39/0.56	thf(func_def_153, type, iskpair: $i > $o).
1.39/0.56	thf(func_def_158, type, kpair: $i > $i > $i).
1.39/0.56	thf(func_def_160, type, cartprod: $i > $i > $i).
1.39/0.56	thf(func_def_188, type, sP0: $i > $i > $o).
1.39/0.56	thf(func_def_189, type, sP1: $i > $o).
1.39/0.56	thf(func_def_190, type, sP2: $i > $i > $o).
1.39/0.56	thf(func_def_191, type, sP3: $i > $i > $o).
1.39/0.56	thf(func_def_193, type, sP5: $o > $i > $i > $i > $o).
1.39/0.56	thf(func_def_203, type, sK15: $i > $o).
1.39/0.56	thf(func_def_205, type, sK17: ($i > $o) > $i).
1.39/0.56	thf(func_def_206, type, sK18: ($i > $o) > $i).
1.39/0.56	thf(func_def_207, type, sK19: ($i > $o) > $i).
1.39/0.56	thf(func_def_208, type, sK20: $i > $o).
1.39/0.56	thf(func_def_209, type, sK21: $i > $i).
1.39/0.56	thf(func_def_219, type, sK31: $i > $i > $i).
1.39/0.56	thf(func_def_224, type, sK36: $i > $i > $i).
1.39/0.56	thf(func_def_235, type, sK47: $i > ($i > $o) > $i).
1.39/0.56	thf(func_def_236, type, sK48: $i > $o).
1.39/0.56	thf(func_def_238, type, sK50: $i > $o).
1.39/0.56	thf(func_def_242, type, sK54: $i > $i).
1.39/0.56	thf(func_def_257, type, sK69: $i > $i > $i).
1.39/0.56	thf(func_def_258, type, sK70: $i > $i > $i).
1.39/0.56	thf(func_def_270, type, sK82: $i > $o).
1.39/0.56	thf(func_def_271, type, sK83: ($i > $o) > $i).
1.39/0.56	thf(func_def_281, type, sK93: $i > $o).
1.39/0.56	thf(func_def_288, type, sK100: $i > ($i > $o) > $i).
1.39/0.56	thf(func_def_289, type, sK101: $i > $o).
1.39/0.56	thf(func_def_297, type, sK109: $i > $i > $i).
1.39/0.56	thf(func_def_306, type, sK118: ($i > $o) > ($i > $o) > $i).
1.39/0.56	thf(func_def_307, type, sK119: ($i > $o) > ($i > $o) > $i).
1.39/0.56	thf(func_def_308, type, sK120: $i > $o).
1.39/0.56	thf(func_def_309, type, sK121: $i > $o).
1.39/0.56	thf(func_def_313, type, sK125: $i > $i > $i).
1.39/0.56	thf(func_def_319, type, sK131: $i > $i > $i > $i).
1.39/0.56	thf(func_def_320, type, sK132: $i > $i > $i > $i).
1.39/0.56	thf(func_def_328, type, sK140: $i > $o).
1.39/0.56	thf(func_def_345, type, sK157: $o > $i > $i > $i).
1.39/0.56	thf(func_def_352, type, sK164: $i > $i > $i).
1.39/0.56	thf(func_def_356, type, sK168: $i > $i).
1.39/0.56	thf(func_def_360, type, sK172: $i > $i > $i).
1.39/0.56	thf(func_def_367, type, sK179: $i > $o).
1.39/0.56	thf(func_def_370, type, sK182: $i > ($i > $o) > $i).
1.39/0.56	thf(func_def_373, type, sK185: $i > $i).
1.39/0.56	thf(func_def_376, type, sK188: $i > $i).
1.39/0.56	thf(func_def_379, type, sK191: $i > $i > $i).
1.39/0.56	thf(func_def_380, type, sK192: $i > $i > $i).
1.39/0.56	thf(func_def_381, type, sK193: $i > $i > $i).
1.39/0.56	thf(func_def_382, type, sK194: $i > $i > $i).
1.39/0.56	thf(func_def_383, type, sK195: $i > $i > $i).
1.39/0.56	thf(func_def_384, type, sK196: $i > $i > $i > $i).
1.39/0.56	thf(func_def_385, type, sK197: $i > $i).
1.39/0.56	thf(func_def_386, type, sK198: $i > $i).
1.39/0.56	thf(func_def_387, type, sK199: $i > $i).
1.39/0.56	thf(func_def_388, type, sK200: $i > $i).
1.39/0.56	thf(func_def_389, type, sK201: $i > $i > $i > $i).
1.39/0.56	thf(func_def_390, type, sK202: $i > $i > $i > $i).
1.39/0.56	thf(func_def_391, type, sK203: $i > $i > $i).
1.39/0.56	thf(func_def_392, type, sK204: $i > $i > $i).
1.39/0.56	thf(func_def_393, type, sK205: $i > $i > $i).
1.39/0.56	thf(func_def_394, type, sK206: $i > $i).
1.39/0.56	thf(func_def_396, type, sK208: $i > $i).
1.39/0.56	thf(func_def_397, type, sK209: $i > $i).
1.39/0.56	thf(func_def_409, type, sK221: $i > $i > $o).
1.39/0.56	thf(func_def_410, type, sK222: $i > $i).
1.39/0.56	thf(func_def_411, type, sK223: $i > $i).
1.39/0.56	thf(func_def_412, type, sK224: ($i > $i > $o) > $i > $i).
1.39/0.56	thf(func_def_413, type, sK225: ($i > $i > $o) > $i > $i).
1.39/0.56	thf(func_def_414, type, sK226: $i > ($i > $i > $o) > $i > $i).
1.39/0.56	thf(func_def_415, type, sK227: $i > $i).
1.39/0.56	thf(func_def_419, type, sK231: $i > $i > $i).
1.39/0.56	thf(func_def_420, type, sK232: $i > ($i > $o) > $i).
1.39/0.56	thf(func_def_421, type, sK233: $i > $o).
1.39/0.56	thf(func_def_427, type, sK239: $i > $o).
1.39/0.56	thf(func_def_436, type, sK248: $i > $i > $i).
1.39/0.56	thf(func_def_460, type, sK272: $i > $o).
1.39/0.56	thf(func_def_461, type, sK273: ($i > $o) > $i > $i).
1.39/0.56	thf(func_def_463, type, sK275: $i > $o).
1.39/0.56	thf(func_def_468, type, sK280: $i > $o).
1.39/0.56	thf(func_def_474, type, sK286: $i > $i).
1.39/0.56	thf(func_def_497, type, sK309: $i > $o).
1.39/0.56	thf(func_def_503, type, sK315: $i > ($i > $o) > $i).
1.39/0.56	thf(func_def_504, type, sK316: $i > $o).
1.39/0.56	thf(func_def_507, type, sK319: $i > $i).
1.39/0.56	thf(func_def_514, type, sK326: $i > $o).
1.39/0.56	thf(func_def_517, type, sK329: ($i > $o) > $i > $i).
1.39/0.56	thf(func_def_519, type, sK331: $i > $o).
1.39/0.56	thf(func_def_544, type, sK356: ($i > $o) > ($i > $o) > $i > $i > $i).
1.39/0.56	thf(func_def_545, type, sK357: ($i > $o) > ($i > $o) > $i > $i > $i).
1.39/0.56	thf(func_def_548, type, sK360: $i > $o).
1.39/0.56	thf(func_def_549, type, sK361: $i > $o).
1.39/0.56	thf(func_def_560, type, sK372: $i > $o).
1.39/0.56	thf(func_def_571, type, sK383: $i > $o).
1.39/0.56	thf(func_def_572, type, sK384: $i > $o).
1.39/0.56	thf(func_def_573, type, sK385: ($i > $o) > ($i > $o) > $i).
1.39/0.56	thf(func_def_574, type, sK386: ($i > $o) > ($i > $o) > $i).
1.39/0.56	thf(func_def_577, type, sK389: $i > $o).
1.39/0.56	thf(func_def_579, type, sK391: $i > $o).
1.39/0.56	thf(func_def_581, type, sK393: ($i > $o) > $i).
1.39/0.56	thf(func_def_582, type, sK394: $i > $o).
1.39/0.56	thf(func_def_583, type, sK395: $i > $i).
1.39/0.56	thf(func_def_592, type, sK404: $i > $o).
1.39/0.56	thf(func_def_594, type, sK406: ($i > $o) > $i > $i).
1.39/0.56	thf(func_def_607, type, sK419: $i > $o).
1.39/0.56	thf(func_def_610, type, ph422: !>[X0: $tType]:(X0)).
1.39/0.56	thf(f3192,plain,(
1.39/0.56	  $false),
1.39/0.56	  inference(trivial_inequality_removal,[],[f3191])).
1.39/0.56	thf(f3191,plain,(
1.39/0.56	  (sK147 != sK147)),
1.39/0.56	  inference(superposition,[],[f1597,f3183])).
1.39/0.56	thf(f3183,plain,(
1.39/0.56	  ( ! [X0 : $i] : (((setunion @ (setadjoin @ X0 @ emptyset)) = X0)) )),
1.39/0.56	  inference(backward_demodulation,[],[f3174,f3182])).
1.39/0.56	thf(f3182,plain,(
1.39/0.56	  ( ! [X0 : $i] : (((binintersect @ X0 @ (setunion @ (setadjoin @ X0 @ emptyset))) = X0)) )),
1.39/0.56	  inference(trivial_inequality_removal,[],[f3179])).
1.39/0.56	thf(f3179,plain,(
1.39/0.56	  ( ! [X0 : $i] : (($true != $true) | ((binintersect @ X0 @ (setunion @ (setadjoin @ X0 @ emptyset))) = X0)) )),
1.39/0.56	  inference(superposition,[],[f2742,f2699])).
1.39/0.56	thf(f2699,plain,(
1.39/0.56	  ( ! [X1 : $i] : (((subset @ X1 @ (setunion @ (setadjoin @ X1 @ emptyset))) = $true)) )),
1.39/0.56	  inference(trivial_inequality_removal,[],[f2269])).
1.39/0.56	thf(f2269,plain,(
1.39/0.56	  ( ! [X1 : $i] : (((subset @ X1 @ (setunion @ (setadjoin @ X1 @ emptyset))) = $true) | ($true != $true)) )),
1.39/0.56	  inference(definition_unfolding,[],[f1536,f1709])).
1.39/0.56	thf(f1709,plain,(
1.39/0.56	  (setunionsingleton2 = $true)),
1.39/0.56	  inference(cnf_transformation,[],[f898])).
1.39/0.56	thf(f898,plain,(
1.39/0.56	  (setunionAx = $true) & (setminusEL = $true) & (setunionsingleton2 = $true) & (setminusI = $true) & (emptysetE = $true) & (setminusER = $true) & (emptyE1 = $true) & (binintersectER = $true) & (setminusELneg = $true) & (binintersectSubset3 = $true) & (symdiffI2 = $true) & (dsetconstrER = $true) & (singletonsswitch = $true) & (notdallE = $true) & (singletonsubset = $true) & (subsetemptysetimpeq = $true) & (subsetRefl = $true) & (symdiffIneg2 = $true) & (ubforcartprodlem3 = $true) & (dsetconstrI = $true) & (notinsingleton = $true) & (binintersectSubset5 = $true) & (cartprodmempair = $true) & (binunionIR = $true) & (upairsubunion = $true) & (notequalI1 = $true) & (dsetconstr__Cong = $true) & (setunionE = $true) & (quantDeMorgan1 = $true) & (powersetI1 = $true) & (descr__Cong = $true) & (upairsetIR = $true) & (exuI3 = $true) & (exuE1 = $true) & (nonemptyE1 = $true) & (omega__Cong = $true) & (setminusIRneg = $true) & (exuI1 = $true) & (exuI2 = $true) & (setminusSubset2 = $true) & (prop2setI = $true) & (descrp = $true) & (setadjoinIL = $true) & (binintersectRsub = $true) & (setminusLsub = $true) & (nonemptyI = $true) & (prop2setE = $true) & (dsetconstrEL = $true) & (notsubsetI = $true) & (prop2set2propI = $true) & (nonemptyImpWitness = $true) & (omegaIndAx = $true) & (upairset2IR = $true) & (emptyinPowerset = $true) & (exuE3e = $true) & (ubforcartprodlem2 = $true) & (subsetE = $true) & (kpairiskpair = $true) & (subsetI1 = $true) & (kpairp = $true) & (powersetE1 = $true) & (eqimpsubset2 = $true) & (eqinunit = $true) & (binintersectLsub = $true) & (inPowerset = $true) & (in__Cong = $true) & (setunionsingleton1 = $true) & (setbeta = $true) & (setunionE2 = $true) & (powersetE = $true) & (binintersectSubset2 = $true) & (binintersectEL = $true) & (emptyinunitempty = $true) & (setoftrueEq = $true) & (sepInPowerset = $true) & (binunionLsub = $true) & (emptysetimpfalse = $true) & (setadjoinSub = $true) & (setadjoinE = $true) & (eqimpsubset1 = $true) & (emptysetAx = $true) & (notinemptyset = $true) & (subset2powerset = $true) & (noeltsimpempty = $true) & (disjointsetsI1 = $true) & (exuE2 = $true) & (binintersectSubset4 = $true) & (emptyI = $true) & (setukpairIR = $true) & (omega0Ax = $true) & (upairset2E = $true) & (inCongP = $true) & (binintersectSubset1 = $true) & (setminusSubset1 = $true) & (setadjoin__Cong = $true) & (upairsetE = $true) & (setadjoinSub2 = $true) & (uniqinunit = $true) & (powerset__Cong = $true) & (omegaSAx = $true) & (subsetI2 = $true) & (setminusERneg = $true) & (quantDeMorgan4 = $true) & (setextsub = $true) & (quantDeMorgan3 = $true) & (ubforcartprodlem1 = $true) & (binunionRsub = $true) & (setminusILneg = $true) & (vacuousDall = $true) & (setextAx = $true) & (setunionI = $true) & (emptysetsubset = $true) & (singletoninpowunion = $true) & (powersetI = $true) & (sK147 != (setunion @ (setadjoin @ sK147 @ emptyset))) & (notdexE = $true) & (bs114d = $true) & (powersetsubset = $true) & (binunionEcases = $true) & (singletoninpowerset = $true) & (replAx = $true) & (binunionE = $true) & (exu__Cong = $true) & (emptyInPowerset = $true) & (wellorderingAx = $true) & (upairsetIL = $true) & (quantDeMorgan2 = $true) & (subsetTrans = $true) & (notequalI2 = $true) & (secondinupair = $true) & (setadjoinIR = $true) & (foundationAx = $true) & (cartprodpairin = $true) & (setadjoinAx = $true) & (subPowSU = $true) & (symdiffI1 = $true) & (upairinpowunion = $true) & (setukpairIL = $true) & (exuEu = $true) & (exuE3u = $true) & (binintersectI = $true) & (sepSubset = $true) & (setadjoinOr = $true) & (emptyset__Cong = $true) & (cartprodmempair1 = $true) & (symdiffIneg1 = $true) & (setext = $true) & (setunion__Cong = $true) & (nonemptyI1 = $true) & (powersetAx = $true) & (binunionIL = $true) & (subsetE2 = $true) & (symdiffE = $true)),
1.39/0.56	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK147])],[f626,f897])).
1.39/0.56	thf(f897,plain,(
1.39/0.56	  ? [X0] : ((setunion @ (setadjoin @ X0 @ emptyset)) != X0) => (sK147 != (setunion @ (setadjoin @ sK147 @ emptyset)))),
1.39/0.56	  introduced(choice_axiom,[])).
1.39/0.56	thf(f626,plain,(
1.39/0.56	  (setunionAx = $true) & (setminusEL = $true) & (setunionsingleton2 = $true) & (setminusI = $true) & (emptysetE = $true) & (setminusER = $true) & (emptyE1 = $true) & (binintersectER = $true) & (setminusELneg = $true) & (binintersectSubset3 = $true) & (symdiffI2 = $true) & (dsetconstrER = $true) & (singletonsswitch = $true) & (notdallE = $true) & (singletonsubset = $true) & (subsetemptysetimpeq = $true) & (subsetRefl = $true) & (symdiffIneg2 = $true) & (ubforcartprodlem3 = $true) & (dsetconstrI = $true) & (notinsingleton = $true) & (binintersectSubset5 = $true) & (cartprodmempair = $true) & (binunionIR = $true) & (upairsubunion = $true) & (notequalI1 = $true) & (dsetconstr__Cong = $true) & (setunionE = $true) & (quantDeMorgan1 = $true) & (powersetI1 = $true) & (descr__Cong = $true) & (upairsetIR = $true) & (exuI3 = $true) & (exuE1 = $true) & (nonemptyE1 = $true) & (omega__Cong = $true) & (setminusIRneg = $true) & (exuI1 = $true) & (exuI2 = $true) & (setminusSubset2 = $true) & (prop2setI = $true) & (descrp = $true) & (setadjoinIL = $true) & (binintersectRsub = $true) & (setminusLsub = $true) & (nonemptyI = $true) & (prop2setE = $true) & (dsetconstrEL = $true) & (notsubsetI = $true) & (prop2set2propI = $true) & (nonemptyImpWitness = $true) & (omegaIndAx = $true) & (upairset2IR = $true) & (emptyinPowerset = $true) & (exuE3e = $true) & (ubforcartprodlem2 = $true) & (subsetE = $true) & (kpairiskpair = $true) & (subsetI1 = $true) & (kpairp = $true) & (powersetE1 = $true) & (eqimpsubset2 = $true) & (eqinunit = $true) & (binintersectLsub = $true) & (inPowerset = $true) & (in__Cong = $true) & (setunionsingleton1 = $true) & (setbeta = $true) & (setunionE2 = $true) & (powersetE = $true) & (binintersectSubset2 = $true) & (binintersectEL = $true) & (emptyinunitempty = $true) & (setoftrueEq = $true) & (sepInPowerset = $true) & (binunionLsub = $true) & (emptysetimpfalse = $true) & (setadjoinSub = $true) & (setadjoinE = $true) & (eqimpsubset1 = $true) & (emptysetAx = $true) & (notinemptyset = $true) & (subset2powerset = $true) & (noeltsimpempty = $true) & (disjointsetsI1 = $true) & (exuE2 = $true) & (binintersectSubset4 = $true) & (emptyI = $true) & (setukpairIR = $true) & (omega0Ax = $true) & (upairset2E = $true) & (inCongP = $true) & (binintersectSubset1 = $true) & (setminusSubset1 = $true) & (setadjoin__Cong = $true) & (upairsetE = $true) & (setadjoinSub2 = $true) & (uniqinunit = $true) & (powerset__Cong = $true) & (omegaSAx = $true) & (subsetI2 = $true) & (setminusERneg = $true) & (quantDeMorgan4 = $true) & (setextsub = $true) & (quantDeMorgan3 = $true) & (ubforcartprodlem1 = $true) & (binunionRsub = $true) & (setminusILneg = $true) & (vacuousDall = $true) & (setextAx = $true) & (setunionI = $true) & (emptysetsubset = $true) & (singletoninpowunion = $true) & (powersetI = $true) & ? [X0] : ((setunion @ (setadjoin @ X0 @ emptyset)) != X0) & (notdexE = $true) & (bs114d = $true) & (powersetsubset = $true) & (binunionEcases = $true) & (singletoninpowerset = $true) & (replAx = $true) & (binunionE = $true) & (exu__Cong = $true) & (emptyInPowerset = $true) & (wellorderingAx = $true) & (upairsetIL = $true) & (quantDeMorgan2 = $true) & (subsetTrans = $true) & (notequalI2 = $true) & (secondinupair = $true) & (setadjoinIR = $true) & (foundationAx = $true) & (cartprodpairin = $true) & (setadjoinAx = $true) & (subPowSU = $true) & (symdiffI1 = $true) & (upairinpowunion = $true) & (setukpairIL = $true) & (exuEu = $true) & (exuE3u = $true) & (binintersectI = $true) & (sepSubset = $true) & (setadjoinOr = $true) & (emptyset__Cong = $true) & (cartprodmempair1 = $true) & (symdiffIneg1 = $true) & (setext = $true) & (setunion__Cong = $true) & (nonemptyI1 = $true) & (powersetAx = $true) & (binunionIL = $true) & (subsetE2 = $true) & (symdiffE = $true)),
1.39/0.56	  inference(flattening,[],[f625])).
1.39/0.56	thf(f625,plain,(
1.39/0.56	  (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0] : ((setunion @ (setadjoin @ X0 @ emptyset)) != X0) & (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)),
1.39/0.56	  inference(ennf_transformation,[],[f169])).
1.39/0.56	thf(f169,plain,(
1.39/0.56	  ~((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) => ! [X0] : ((setunion @ (setadjoin @ X0 @ emptyset)) = X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.39/0.56	  inference(fool_elimination,[],[f168])).
1.39/0.56	thf(f168,plain,(
1.39/0.56	  ~(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 => ! [X0] : ((setunion @ (setadjoin @ X0 @ emptyset)) = X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.39/0.56	  inference(rectify,[],[f158])).
1.39/0.56	thf(f158,negated_conjecture,(
1.39/0.56	  ~(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 => ! [X1] : ((setunion @ (setadjoin @ X1 @ emptyset)) = X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.39/0.56	  inference(negated_conjecture,[],[f157])).
1.39/0.56	thf(f157,conjecture,(
1.39/0.56	  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 => ! [X1] : ((setunion @ (setadjoin @ X1 @ emptyset)) = X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.39/0.56	  file('/export/starexec/sandbox/tmp/tmp.F5LgWqoqz4/E---3.1_20633.p',setunionsingleton)).
1.39/0.56	thf(f1536,plain,(
1.39/0.56	  ( ! [X1 : $i] : (((subset @ X1 @ (setunion @ (setadjoin @ X1 @ emptyset))) = $true) | (setunionsingleton2 != $true)) )),
1.39/0.56	  inference(cnf_transformation,[],[f868])).
1.39/0.56	thf(f868,plain,(
1.39/0.56	  ((setunionsingleton2 = $true) | ((subset @ sK128 @ (setunion @ (setadjoin @ sK128 @ emptyset))) != $true)) & (! [X1] : ((subset @ X1 @ (setunion @ (setadjoin @ X1 @ emptyset))) = $true) | (setunionsingleton2 != $true))),
1.39/0.56	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK128])],[f866,f867])).
1.39/0.56	thf(f867,plain,(
1.39/0.56	  ? [X0] : ((subset @ X0 @ (setunion @ (setadjoin @ X0 @ emptyset))) != $true) => ((subset @ sK128 @ (setunion @ (setadjoin @ sK128 @ emptyset))) != $true)),
1.39/0.56	  introduced(choice_axiom,[])).
1.39/0.56	thf(f866,plain,(
1.39/0.56	  ((setunionsingleton2 = $true) | ? [X0] : ((subset @ X0 @ (setunion @ (setadjoin @ X0 @ emptyset))) != $true)) & (! [X1] : ((subset @ X1 @ (setunion @ (setadjoin @ X1 @ emptyset))) = $true) | (setunionsingleton2 != $true))),
1.39/0.56	  inference(rectify,[],[f865])).
1.39/0.56	thf(f865,plain,(
1.39/0.56	  ((setunionsingleton2 = $true) | ? [X0] : ((subset @ X0 @ (setunion @ (setadjoin @ X0 @ emptyset))) != $true)) & (! [X0] : ((subset @ X0 @ (setunion @ (setadjoin @ X0 @ emptyset))) = $true) | (setunionsingleton2 != $true))),
1.39/0.56	  inference(nnf_transformation,[],[f461])).
1.39/0.56	thf(f461,plain,(
1.39/0.56	  (setunionsingleton2 = $true) <=> ! [X0] : ((subset @ X0 @ (setunion @ (setadjoin @ X0 @ emptyset))) = $true)),
1.39/0.56	  inference(fool_elimination,[],[f460])).
1.39/0.56	thf(f460,plain,(
1.39/0.56	  (setunionsingleton2 = ! [X0] : (subset @ X0 @ (setunion @ (setadjoin @ X0 @ emptyset))))),
1.39/0.56	  inference(rectify,[],[f156])).
1.39/0.56	thf(f156,axiom,(
1.39/0.56	  (setunionsingleton2 = ! [X3] : (subset @ X3 @ (setunion @ (setadjoin @ X3 @ emptyset))))),
1.39/0.56	  file('/export/starexec/sandbox/tmp/tmp.F5LgWqoqz4/E---3.1_20633.p',setunionsingleton2)).
1.39/0.56	thf(f2742,plain,(
1.39/0.56	  ( ! [X2 : $i,X3 : $i] : (((subset @ X3 @ X2) != $true) | ((binintersect @ X3 @ X2) = X3)) )),
1.39/0.56	  inference(trivial_inequality_removal,[],[f2152])).
1.39/0.56	thf(f2152,plain,(
1.39/0.56	  ( ! [X2 : $i,X3 : $i] : (((binintersect @ X3 @ X2) = X3) | ($true != $true) | ((subset @ X3 @ X2) != $true)) )),
1.39/0.56	  inference(definition_unfolding,[],[f1417,f1641])).
1.39/0.56	thf(f1641,plain,(
1.39/0.56	  (binintersectSubset2 = $true)),
1.39/0.56	  inference(cnf_transformation,[],[f898])).
1.39/0.56	thf(f1417,plain,(
1.39/0.56	  ( ! [X2 : $i,X3 : $i] : (((binintersect @ X3 @ X2) = X3) | ((subset @ X3 @ X2) != $true) | (binintersectSubset2 != $true)) )),
1.39/0.56	  inference(cnf_transformation,[],[f731])).
1.39/0.56	thf(f731,plain,(
1.39/0.56	  ((binintersectSubset2 = $true) | ((sK40 != (binintersect @ sK40 @ sK39)) & ((subset @ sK40 @ sK39) = $true))) & (! [X2,X3] : (((binintersect @ X3 @ X2) = X3) | ((subset @ X3 @ X2) != $true)) | (binintersectSubset2 != $true))),
1.39/0.56	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40])],[f729,f730])).
1.39/0.56	thf(f730,plain,(
1.39/0.56	  ? [X0,X1] : (((binintersect @ X1 @ X0) != X1) & ((subset @ X1 @ X0) = $true)) => ((sK40 != (binintersect @ sK40 @ sK39)) & ((subset @ sK40 @ sK39) = $true))),
1.39/0.56	  introduced(choice_axiom,[])).
1.39/0.56	thf(f729,plain,(
1.39/0.56	  ((binintersectSubset2 = $true) | ? [X0,X1] : (((binintersect @ X1 @ X0) != X1) & ((subset @ X1 @ X0) = $true))) & (! [X2,X3] : (((binintersect @ X3 @ X2) = X3) | ((subset @ X3 @ X2) != $true)) | (binintersectSubset2 != $true))),
1.39/0.56	  inference(rectify,[],[f728])).
1.39/0.56	thf(f728,plain,(
1.39/0.56	  ((binintersectSubset2 = $true) | ? [X0,X1] : (((binintersect @ X1 @ X0) != X1) & ((subset @ X1 @ X0) = $true))) & (! [X0,X1] : (((binintersect @ X1 @ X0) = X1) | ((subset @ X1 @ X0) != $true)) | (binintersectSubset2 != $true))),
1.39/0.56	  inference(nnf_transformation,[],[f528])).
1.39/0.56	thf(f528,plain,(
1.39/0.56	  (binintersectSubset2 = $true) <=> ! [X0,X1] : (((binintersect @ X1 @ X0) = X1) | ((subset @ X1 @ X0) != $true))),
1.39/0.56	  inference(ennf_transformation,[],[f260])).
1.39/0.56	thf(f260,plain,(
1.39/0.56	  ! [X0,X1] : (((subset @ X1 @ X0) = $true) => ((binintersect @ X1 @ X0) = X1)) <=> (binintersectSubset2 = $true)),
1.39/0.56	  inference(fool_elimination,[],[f259])).
1.39/0.56	thf(f259,plain,(
1.39/0.56	  (! [X0,X1] : ((subset @ X1 @ X0) => ((binintersect @ X1 @ X0) = X1)) = binintersectSubset2)),
1.39/0.56	  inference(rectify,[],[f112])).
1.39/0.56	thf(f112,axiom,(
1.39/0.56	  (! [X4,X3] : ((subset @ X3 @ X4) => ((binintersect @ X3 @ X4) = X3)) = binintersectSubset2)),
1.39/0.56	  file('/export/starexec/sandbox/tmp/tmp.F5LgWqoqz4/E---3.1_20633.p',binintersectSubset2)).
1.39/0.56	thf(f3174,plain,(
1.39/0.56	  ( ! [X0 : $i] : (((binintersect @ X0 @ (setunion @ (setadjoin @ X0 @ emptyset))) = (setunion @ (setadjoin @ X0 @ emptyset)))) )),
1.39/0.56	  inference(trivial_inequality_removal,[],[f3168])).
1.39/0.56	thf(f3168,plain,(
1.39/0.56	  ( ! [X0 : $i] : (($true != $true) | ((binintersect @ X0 @ (setunion @ (setadjoin @ X0 @ emptyset))) = (setunion @ (setadjoin @ X0 @ emptyset)))) )),
1.39/0.56	  inference(superposition,[],[f2800,f2679])).
1.39/0.56	thf(f2679,plain,(
1.39/0.56	  ( ! [X0 : $i] : (((subset @ (setunion @ (setadjoin @ X0 @ emptyset)) @ X0) = $true)) )),
1.39/0.56	  inference(trivial_inequality_removal,[],[f2440])).
1.39/0.56	thf(f2440,plain,(
1.39/0.56	  ( ! [X0 : $i] : (($true != $true) | ((subset @ (setunion @ (setadjoin @ X0 @ emptyset)) @ X0) = $true)) )),
1.39/0.56	  inference(definition_unfolding,[],[f1901,f1645])).
1.39/0.56	thf(f1645,plain,(
1.39/0.56	  (setunionsingleton1 = $true)),
1.39/0.56	  inference(cnf_transformation,[],[f898])).
1.39/0.56	thf(f1901,plain,(
1.39/0.56	  ( ! [X0 : $i] : (((subset @ (setunion @ (setadjoin @ X0 @ emptyset)) @ X0) = $true) | (setunionsingleton1 != $true)) )),
1.39/0.56	  inference(cnf_transformation,[],[f1125])).
1.39/0.56	thf(f1125,plain,(
1.39/0.56	  (! [X0] : ((subset @ (setunion @ (setadjoin @ X0 @ emptyset)) @ X0) = $true) | (setunionsingleton1 != $true)) & ((setunionsingleton1 = $true) | ((subset @ (setunion @ (setadjoin @ sK279 @ emptyset)) @ sK279) != $true))),
1.39/0.56	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK279])],[f1123,f1124])).
1.39/0.56	thf(f1124,plain,(
1.39/0.56	  ? [X1] : ((subset @ (setunion @ (setadjoin @ X1 @ emptyset)) @ X1) != $true) => ((subset @ (setunion @ (setadjoin @ sK279 @ emptyset)) @ sK279) != $true)),
1.39/0.56	  introduced(choice_axiom,[])).
1.39/0.56	thf(f1123,plain,(
1.39/0.56	  (! [X0] : ((subset @ (setunion @ (setadjoin @ X0 @ emptyset)) @ X0) = $true) | (setunionsingleton1 != $true)) & ((setunionsingleton1 = $true) | ? [X1] : ((subset @ (setunion @ (setadjoin @ X1 @ emptyset)) @ X1) != $true))),
1.39/0.56	  inference(rectify,[],[f1122])).
1.39/0.56	thf(f1122,plain,(
1.39/0.56	  (! [X0] : ((subset @ (setunion @ (setadjoin @ X0 @ emptyset)) @ X0) = $true) | (setunionsingleton1 != $true)) & ((setunionsingleton1 = $true) | ? [X0] : ((subset @ (setunion @ (setadjoin @ X0 @ emptyset)) @ X0) != $true))),
1.39/0.56	  inference(nnf_transformation,[],[f224])).
1.39/0.56	thf(f224,plain,(
1.39/0.56	  ! [X0] : ((subset @ (setunion @ (setadjoin @ X0 @ emptyset)) @ X0) = $true) <=> (setunionsingleton1 = $true)),
1.39/0.56	  inference(fool_elimination,[],[f223])).
1.39/0.56	thf(f223,plain,(
1.39/0.56	  (! [X0] : (subset @ (setunion @ (setadjoin @ X0 @ emptyset)) @ X0) = setunionsingleton1)),
1.39/0.56	  inference(rectify,[],[f155])).
1.39/0.56	thf(f155,axiom,(
1.39/0.56	  (! [X3] : (subset @ (setunion @ (setadjoin @ X3 @ emptyset)) @ X3) = setunionsingleton1)),
1.39/0.56	  file('/export/starexec/sandbox/tmp/tmp.F5LgWqoqz4/E---3.1_20633.p',setunionsingleton1)).
1.39/0.56	thf(f2800,plain,(
1.39/0.56	  ( ! [X0 : $i,X1 : $i] : (((subset @ X0 @ X1) != $true) | ((binintersect @ X1 @ X0) = X0)) )),
1.39/0.56	  inference(trivial_inequality_removal,[],[f2447])).
1.39/0.56	thf(f2447,plain,(
1.39/0.56	  ( ! [X0 : $i,X1 : $i] : (($true != $true) | ((subset @ X0 @ X1) != $true) | ((binintersect @ X1 @ X0) = X0)) )),
1.39/0.56	  inference(definition_unfolding,[],[f1909,f1625])).
1.39/0.56	thf(f1625,plain,(
1.39/0.56	  (binintersectSubset4 = $true)),
1.39/0.56	  inference(cnf_transformation,[],[f898])).
1.39/0.56	thf(f1909,plain,(
1.39/0.56	  ( ! [X0 : $i,X1 : $i] : (((binintersect @ X1 @ X0) = X0) | ((subset @ X0 @ X1) != $true) | (binintersectSubset4 != $true)) )),
1.39/0.56	  inference(cnf_transformation,[],[f1137])).
1.39/0.56	thf(f1137,plain,(
1.39/0.56	  (! [X0,X1] : (((binintersect @ X1 @ X0) = X0) | ((subset @ X0 @ X1) != $true)) | (binintersectSubset4 != $true)) & ((binintersectSubset4 = $true) | (((binintersect @ sK285 @ sK284) != sK284) & ((subset @ sK284 @ sK285) = $true)))),
1.39/0.56	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK284,sK285])],[f1135,f1136])).
1.39/0.56	thf(f1136,plain,(
1.39/0.56	  ? [X2,X3] : (((binintersect @ X3 @ X2) != X2) & ((subset @ X2 @ X3) = $true)) => (((binintersect @ sK285 @ sK284) != sK284) & ((subset @ sK284 @ sK285) = $true))),
1.39/0.56	  introduced(choice_axiom,[])).
1.39/0.56	thf(f1135,plain,(
1.39/0.56	  (! [X0,X1] : (((binintersect @ X1 @ X0) = X0) | ((subset @ X0 @ X1) != $true)) | (binintersectSubset4 != $true)) & ((binintersectSubset4 = $true) | ? [X2,X3] : (((binintersect @ X3 @ X2) != X2) & ((subset @ X2 @ X3) = $true)))),
1.39/0.56	  inference(rectify,[],[f1134])).
1.39/0.56	thf(f1134,plain,(
1.39/0.56	  (! [X0,X1] : (((binintersect @ X1 @ X0) = X0) | ((subset @ X0 @ X1) != $true)) | (binintersectSubset4 != $true)) & ((binintersectSubset4 = $true) | ? [X0,X1] : (((binintersect @ X1 @ X0) != X0) & ((subset @ X0 @ X1) = $true)))),
1.39/0.56	  inference(nnf_transformation,[],[f572])).
1.39/0.56	thf(f572,plain,(
1.39/0.56	  ! [X0,X1] : (((binintersect @ X1 @ X0) = X0) | ((subset @ X0 @ X1) != $true)) <=> (binintersectSubset4 = $true)),
1.39/0.56	  inference(ennf_transformation,[],[f303])).
1.39/0.56	thf(f303,plain,(
1.39/0.56	  ! [X0,X1] : (((subset @ X0 @ X1) = $true) => ((binintersect @ X1 @ X0) = X0)) <=> (binintersectSubset4 = $true)),
1.39/0.56	  inference(fool_elimination,[],[f302])).
1.39/0.56	thf(f302,plain,(
1.39/0.56	  (binintersectSubset4 = ! [X0,X1] : ((subset @ X0 @ X1) => ((binintersect @ X1 @ X0) = X0)))),
1.39/0.56	  inference(rectify,[],[f117])).
1.39/0.56	thf(f117,axiom,(
1.39/0.56	  (binintersectSubset4 = ! [X4,X3] : ((subset @ X4 @ X3) => ((binintersect @ X3 @ X4) = X4)))),
1.39/0.56	  file('/export/starexec/sandbox/tmp/tmp.F5LgWqoqz4/E---3.1_20633.p',binintersectSubset4)).
1.39/0.56	thf(f1597,plain,(
1.39/0.56	  (sK147 != (setunion @ (setadjoin @ sK147 @ emptyset)))),
1.39/0.56	  inference(cnf_transformation,[],[f898])).
1.39/0.56	% SZS output end Proof for E---3.1_20633
1.39/0.56	% (20761)------------------------------
1.39/0.56	% (20761)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
1.39/0.56	% (20761)Termination reason: Refutation
1.39/0.56	
1.39/0.56	% (20761)Memory used [KB]: 8315
1.39/0.56	% (20761)Time elapsed: 0.113 s
1.39/0.56	% (20761)Instructions burned: 207 (million)
1.39/0.56	% (20761)------------------------------
1.39/0.56	% (20761)------------------------------
1.39/0.56	% (20740)Success in time 0.197 s
1.39/0.56	EOF