0.12/0.19	% Problem    : Vampire---4.8_32630 : TPTP v0.0.0. Released v0.0.0.
0.12/0.20	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.20/0.41	% Computer : n023.cluster.edu
0.20/0.41	% Model    : x86_64 x86_64
0.20/0.41	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.20/0.41	% Memory   : 8042.1875MB
0.20/0.41	% OS       : Linux 3.10.0-693.el7.x86_64
0.20/0.41	% CPULimit   : 1440
0.20/0.41	% WCLimit    : 180
0.20/0.41	% DateTime   : Mon Jul  3 13:13:21 EDT 2023
0.20/0.41	% CPUTime    : 
0.20/0.41	This is a THF_ problem
0.20/0.42	Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.uWTnY9byVt/Vampire---4.8_32630 -m 12000  -t 180
0.28/0.46	% (32742)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.28/0.46	% (32740)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi)
0.28/0.46	% (32741)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi)
0.28/0.46	% (32743)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi)
0.28/0.46	% (32744)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi)
0.28/0.46	% (32745)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi)
0.28/0.46	% (32744)Instruction limit reached!
0.28/0.46	% (32744)------------------------------
0.28/0.46	% (32744)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.28/0.46	% (32744)Termination reason: Unknown
0.28/0.46	% (32744)Termination phase: shuffling
0.28/0.46	
0.28/0.46	% (32744)Memory used [KB]: 1535
0.28/0.46	% (32744)Time elapsed: 0.004 s
0.28/0.46	% (32744)Instructions burned: 5 (million)
0.28/0.46	% (32744)------------------------------
0.28/0.46	% (32744)------------------------------
0.28/0.47	% (32738)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.28/0.47	% (32742)Instruction limit reached!
0.28/0.47	% (32742)------------------------------
0.28/0.47	% (32742)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.28/0.47	% (32739)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.28/0.47	% (32742)Termination reason: Unknown
0.28/0.47	% (32742)Termination phase: shuffling
0.28/0.47	
0.28/0.47	% (32742)Memory used [KB]: 1791
0.28/0.47	% (32742)Time elapsed: 0.011 s
0.28/0.47	% (32742)Instructions burned: 17 (million)
0.28/0.47	% (32742)------------------------------
0.28/0.47	% (32742)------------------------------
0.28/0.48	% (32740)Instruction limit reached!
0.28/0.48	% (32740)------------------------------
0.28/0.48	% (32740)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.28/0.48	% (32740)Termination reason: Unknown
0.28/0.48	% (32740)Termination phase: shuffling
0.28/0.48	
0.28/0.48	% (32740)Memory used [KB]: 2302
0.28/0.48	% (32740)Time elapsed: 0.019 s
0.28/0.48	% (32740)Instructions burned: 35 (million)
0.28/0.48	% (32740)------------------------------
0.28/0.48	% (32740)------------------------------
0.28/0.48	% (32746)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 Vampire---4 for (1799ds/21Mi)
0.28/0.49	% (32747)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi)
0.28/0.49	% (32747)Instruction limit reached!
0.28/0.49	% (32747)------------------------------
0.28/0.49	% (32747)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.28/0.49	% (32747)Termination reason: Unknown
0.28/0.49	% (32747)Termination phase: shuffling
0.28/0.49	
0.28/0.49	% (32747)Memory used [KB]: 1663
0.28/0.49	% (32747)Time elapsed: 0.006 s
0.28/0.49	% (32747)Instructions burned: 7 (million)
0.28/0.49	% (32739)Instruction limit reached!
0.28/0.49	% (32739)------------------------------
0.28/0.49	% (32739)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.28/0.49	% (32739)Termination reason: Unknown
0.28/0.49	% (32739)Termination phase: shuffling
0.28/0.49	
0.28/0.49	% (32739)Memory used [KB]: 2302
0.28/0.49	% (32739)Time elapsed: 0.021 s
0.28/0.49	% (32739)Instructions burned: 37 (million)
0.28/0.49	% (32739)------------------------------
0.28/0.49	% (32739)------------------------------
0.28/0.49	% (32747)------------------------------
0.28/0.49	% (32747)------------------------------
0.28/0.49	% (32746)Instruction limit reached!
0.28/0.49	% (32746)------------------------------
0.28/0.49	% (32746)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.28/0.49	% (32746)Termination reason: Unknown
0.28/0.49	% (32746)Termination phase: shuffling
0.28/0.49	
0.28/0.49	% (32746)Memory used [KB]: 1918
0.28/0.49	% (32746)Time elapsed: 0.013 s
0.28/0.49	% (32746)Instructions burned: 21 (million)
0.28/0.49	% (32746)------------------------------
0.28/0.49	% (32746)------------------------------
0.28/0.49	% (32748)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (1799ds/1021Mi)
0.28/0.50	% (32743)Instruction limit reached!
0.28/0.50	% (32743)------------------------------
0.28/0.50	% (32743)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.28/0.50	% (32743)Termination reason: Unknown
0.28/0.50	% (32743)Termination phase: Property scanning
0.28/0.50	
0.28/0.50	% (32743)Memory used [KB]: 2686
0.28/0.50	% (32743)Time elapsed: 0.038 s
0.28/0.50	% (32743)Instructions burned: 74 (million)
0.28/0.50	% (32743)------------------------------
0.28/0.50	% (32743)------------------------------
0.28/0.50	% (32749)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi)
0.28/0.50	% (32750)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on Vampire---4 for (1799ds/9Mi)
0.28/0.51	% (32751)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi)
0.28/0.51	% (32750)Instruction limit reached!
0.28/0.51	% (32750)------------------------------
0.28/0.51	% (32750)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.28/0.51	% (32750)Termination reason: Unknown
0.28/0.51	% (32750)Termination phase: shuffling
0.28/0.51	
0.28/0.51	% (32750)Memory used [KB]: 1663
0.28/0.51	% (32750)Time elapsed: 0.007 s
0.28/0.51	% (32750)Instructions burned: 10 (million)
0.28/0.51	% (32750)------------------------------
0.28/0.51	% (32750)------------------------------
0.28/0.51	% (32738)Instruction limit reached!
0.28/0.51	% (32738)------------------------------
0.28/0.51	% (32738)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.28/0.51	% (32738)Termination reason: Unknown
0.28/0.51	% (32738)Termination phase: Property scanning
0.28/0.51	
0.28/0.51	% (32738)Memory used [KB]: 2686
0.28/0.51	% (32738)Time elapsed: 0.044 s
0.28/0.51	% (32738)Instructions burned: 96 (million)
0.28/0.51	% (32738)------------------------------
0.28/0.51	% (32738)------------------------------
0.28/0.51	% (32752)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi)
0.28/0.52	% (32753)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi)
0.28/0.52	% (32754)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi)
0.28/0.53	% (32754)Instruction limit reached!
0.28/0.53	% (32754)------------------------------
0.28/0.53	% (32754)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.28/0.53	% (32754)Termination reason: Unknown
0.28/0.53	% (32754)Termination phase: shuffling
0.28/0.53	
0.28/0.53	% (32754)Memory used [KB]: 1791
0.28/0.53	% (32754)Time elapsed: 0.009 s
0.28/0.53	% (32754)Instructions burned: 15 (million)
0.28/0.53	% (32754)------------------------------
0.28/0.53	% (32754)------------------------------
0.28/0.54	% (32749)Instruction limit reached!
0.28/0.54	% (32749)------------------------------
0.28/0.54	% (32749)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.28/0.54	% (32749)Termination reason: Unknown
0.28/0.54	% (32749)Termination phase: Property scanning
0.28/0.54	
0.28/0.54	% (32749)Memory used [KB]: 2686
0.28/0.54	% (32749)Time elapsed: 0.038 s
0.28/0.54	% (32749)Instructions burned: 72 (million)
0.28/0.54	% (32749)------------------------------
0.28/0.54	% (32749)------------------------------
0.28/0.54	% (32755)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1798ds/2Mi)
0.28/0.55	% (32755)Instruction limit reached!
0.28/0.55	% (32755)------------------------------
0.28/0.55	% (32755)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.28/0.55	% (32755)Termination reason: Unknown
0.28/0.55	% (32755)Termination phase: shuffling
0.28/0.55	
0.28/0.55	% (32755)Memory used [KB]: 1535
0.28/0.55	% (32755)Time elapsed: 0.003 s
0.28/0.55	% (32755)Instructions burned: 3 (million)
0.28/0.55	% (32755)------------------------------
0.28/0.55	% (32755)------------------------------
0.28/0.56	% (32756)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 Vampire---4 for (1798ds/1041Mi)
0.28/0.56	% (32757)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (1798ds/11Mi)
0.28/0.56	% (32757)Instruction limit reached!
0.28/0.56	% (32757)------------------------------
0.28/0.56	% (32757)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.28/0.56	% (32757)Termination reason: Unknown
0.28/0.56	% (32757)Termination phase: shuffling
0.28/0.56	
0.28/0.56	% (32757)Memory used [KB]: 1791
0.28/0.56	% (32757)Time elapsed: 0.007 s
0.28/0.56	% (32757)Instructions burned: 12 (million)
0.28/0.56	% (32757)------------------------------
0.28/0.56	% (32757)------------------------------
1.16/0.57	% (32753)Instruction limit reached!
1.16/0.57	% (32753)------------------------------
1.16/0.57	% (32753)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.16/0.57	% (32753)Termination reason: Unknown
1.16/0.57	% (32753)Termination phase: Naming
1.16/0.57	
1.16/0.57	% (32753)Memory used [KB]: 2558
1.16/0.57	% (32753)Time elapsed: 0.038 s
1.16/0.57	% (32753)Instructions burned: 62 (million)
1.16/0.57	% (32753)------------------------------
1.16/0.57	% (32753)------------------------------
1.16/0.57	% (32752)Instruction limit reached!
1.16/0.57	% (32752)------------------------------
1.16/0.57	% (32752)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.16/0.57	% (32752)Termination reason: Unknown
1.16/0.57	% (32752)Termination phase: Property scanning
1.16/0.57	
1.16/0.57	% (32752)Memory used [KB]: 2814
1.16/0.57	% (32752)Time elapsed: 0.063 s
1.16/0.57	% (32752)Instructions burned: 128 (million)
1.16/0.57	% (32752)------------------------------
1.16/0.57	% (32752)------------------------------
1.16/0.58	% (32758)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (1798ds/140Mi)
1.16/0.58	% (32759)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (1798ds/26Mi)
1.28/0.59	% (32760)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1798ds/56Mi)
1.28/0.59	% (32759)Instruction limit reached!
1.28/0.59	% (32759)------------------------------
1.28/0.59	% (32759)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.28/0.59	% (32759)Termination reason: Unknown
1.28/0.59	% (32759)Termination phase: shuffling
1.28/0.59	
1.28/0.59	% (32759)Memory used [KB]: 2046
1.28/0.59	% (32759)Time elapsed: 0.011 s
1.28/0.59	% (32759)Instructions burned: 27 (million)
1.28/0.59	% (32759)------------------------------
1.28/0.59	% (32759)------------------------------
1.28/0.60	% (32761)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (1798ds/275Mi)
1.28/0.60	% (32760)Instruction limit reached!
1.28/0.60	% (32760)------------------------------
1.28/0.60	% (32760)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.28/0.60	% (32760)Termination reason: Unknown
1.28/0.60	% (32760)Termination phase: shuffling
1.28/0.60	
1.28/0.60	% (32760)Memory used [KB]: 2558
1.28/0.60	% (32760)Time elapsed: 0.019 s
1.28/0.60	% (32760)Instructions burned: 58 (million)
1.28/0.60	% (32760)------------------------------
1.28/0.60	% (32760)------------------------------
1.28/0.61	% (32762)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi)
1.28/0.61	% (32762)Instruction limit reached!
1.28/0.61	% (32762)------------------------------
1.28/0.61	% (32762)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.28/0.61	% (32762)Termination reason: Unknown
1.28/0.61	% (32762)Termination phase: shuffling
1.28/0.61	
1.28/0.61	% (32762)Memory used [KB]: 1535
1.28/0.61	% (32762)Time elapsed: 0.003 s
1.28/0.61	% (32762)Instructions burned: 6 (million)
1.28/0.61	% (32762)------------------------------
1.28/0.61	% (32762)------------------------------
1.28/0.62	% (32763)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 Vampire---4 for (1798ds/19Mi)
1.28/0.63	% (32763)Instruction limit reached!
1.28/0.63	% (32763)------------------------------
1.28/0.63	% (32763)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.28/0.63	% (32763)Termination reason: Unknown
1.28/0.63	% (32763)Termination phase: shuffling
1.28/0.63	
1.28/0.63	% (32763)Memory used [KB]: 1918
1.28/0.63	% (32763)Time elapsed: 0.007 s
1.28/0.63	% (32763)Instructions burned: 20 (million)
1.28/0.63	% (32763)------------------------------
1.28/0.63	% (32763)------------------------------
1.28/0.63	% (32741)Instruction limit reached!
1.28/0.63	% (32741)------------------------------
1.28/0.63	% (32741)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.28/0.63	% (32741)Termination reason: Unknown
1.28/0.63	% (32741)Termination phase: Saturation
1.28/0.63	
1.28/0.63	% (32741)Memory used [KB]: 9338
1.28/0.63	% (32741)Time elapsed: 0.161 s
1.28/0.63	% (32741)Instructions burned: 385 (million)
1.28/0.63	% (32741)------------------------------
1.28/0.63	% (32741)------------------------------
1.55/0.64	% (32764)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on Vampire---4 for (1797ds/44Mi)
1.55/0.64	% (32765)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on Vampire---4 for (1797ds/191Mi)
1.61/0.64	% (32758)Instruction limit reached!
1.61/0.64	% (32758)------------------------------
1.61/0.64	% (32758)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.61/0.64	% (32758)Termination reason: Unknown
1.61/0.64	% (32758)Termination phase: Property scanning
1.61/0.64	
1.61/0.64	% (32758)Memory used [KB]: 2814
1.61/0.64	% (32758)Time elapsed: 0.060 s
1.61/0.64	% (32758)Instructions burned: 142 (million)
1.61/0.64	% (32758)------------------------------
1.61/0.64	% (32758)------------------------------
1.61/0.65	% (32764)Instruction limit reached!
1.61/0.65	% (32764)------------------------------
1.61/0.65	% (32764)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.61/0.65	% (32764)Termination reason: Unknown
1.61/0.65	% (32764)Termination phase: shuffling
1.61/0.65	
1.61/0.65	% (32764)Memory used [KB]: 2430
1.61/0.65	% (32764)Time elapsed: 0.014 s
1.61/0.65	% (32764)Instructions burned: 45 (million)
1.61/0.65	% (32764)------------------------------
1.61/0.65	% (32764)------------------------------
1.61/0.66	% (32766)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (1797ds/62Mi)
1.61/0.66	% (32767)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=105:si=on:rtra=on_0 on Vampire---4 for (1797ds/105Mi)
1.61/0.67	% (32745)First to succeed.
1.61/0.68	% (32745)Refutation found. Thanks to Tanya!
1.61/0.68	% SZS status Theorem for Vampire---4
1.61/0.68	% SZS output start Proof for Vampire---4
1.61/0.68	thf(func_def_0, type, in: $i > $i > $o).
1.61/0.68	thf(func_def_1, type, exu: ($i > $o) > $o).
1.61/0.68	thf(func_def_6, type, setadjoin: $i > $i > $i).
1.61/0.68	thf(func_def_8, type, powerset: $i > $i).
1.61/0.68	thf(func_def_10, type, setunion: $i > $i).
1.61/0.68	thf(func_def_19, type, descr: ($i > $o) > $i).
1.61/0.68	thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
1.61/0.68	thf(func_def_26, type, prop2set: $o > $i).
1.61/0.68	thf(func_def_36, type, nonempty: $i > $o).
1.61/0.68	thf(func_def_69, type, set2prop: $i > $o).
1.61/0.68	thf(func_def_88, type, subset: $i > $i > $o).
1.61/0.68	thf(func_def_89, type, disjoint: $i > $i > $o).
1.61/0.68	thf(func_def_90, type, setsmeet: $i > $i > $o).
1.61/0.68	thf(func_def_114, type, binunion: $i > $i > $i).
1.61/0.68	thf(func_def_122, type, binintersect: $i > $i > $i).
1.61/0.68	thf(func_def_135, type, regular: $i > $o).
1.61/0.68	thf(func_def_136, type, setminus: $i > $i > $i).
1.61/0.68	thf(func_def_147, type, symdiff: $i > $i > $i).
1.61/0.68	thf(func_def_153, type, iskpair: $i > $o).
1.61/0.68	thf(func_def_158, type, kpair: $i > $i > $i).
1.61/0.68	thf(func_def_160, type, cartprod: $i > $i > $i).
1.61/0.68	thf(func_def_177, type, singleton: $i > $o).
1.61/0.68	thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
1.61/0.68	thf(func_def_184, type, atmost1p: $i > $o).
1.61/0.68	thf(func_def_185, type, atleast2p: $i > $o).
1.61/0.68	thf(func_def_186, type, atmost2p: $i > $o).
1.61/0.68	thf(func_def_187, type, upairsetp: $i > $o).
1.61/0.68	thf(func_def_191, type, kfst: $i > $i).
1.61/0.68	thf(func_def_203, type, ksnd: $i > $i).
1.61/0.68	thf(func_def_213, type, breln: $i > $i > $i > $o).
1.61/0.68	thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
1.61/0.68	thf(func_def_222, type, func: $i > $i > $i > $o).
1.61/0.68	thf(func_def_223, type, funcSet: $i > $i > $i).
1.61/0.68	thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
1.61/0.68	thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
1.61/0.68	thf(func_def_259, type, if: $i > $o > $i > $i > $i).
1.61/0.68	thf(func_def_323, type, breln1: $i > $i > $o).
1.61/0.68	thf(func_def_325, type, breln1Set: $i > $i).
1.61/0.68	thf(func_def_327, type, transitive: $i > $i > $o).
1.61/0.68	thf(func_def_328, type, antisymmetric: $i > $i > $o).
1.61/0.68	thf(func_def_329, type, reflexive: $i > $i > $o).
1.61/0.68	thf(func_def_330, type, refltransitive: $i > $i > $o).
1.61/0.68	thf(func_def_331, type, refllinearorder: $i > $i > $o).
1.61/0.68	thf(func_def_332, type, reflwellordering: $i > $i > $o).
1.61/0.68	thf(func_def_338, type, breln1invset: $i > $i > $i).
1.61/0.68	thf(func_def_342, type, breln1compset: $i > $i > $i > $i).
1.61/0.68	thf(func_def_370, type, sP0: $i > $i > $i > $i > $o).
1.61/0.68	thf(func_def_373, type, sP3: $i > $i > $o).
1.61/0.68	thf(func_def_374, type, sP4: $i > $o).
1.61/0.68	thf(func_def_375, type, sP5: $i > $i > $o).
1.61/0.68	thf(func_def_376, type, sP6: $i > $i > $o).
1.61/0.68	thf(func_def_377, type, sP7: $i > $i > $i > $o).
1.61/0.68	thf(func_def_378, type, sP8: $i > $i > $i > $o).
1.61/0.68	thf(func_def_387, type, sP17: $i > $o > $i > $i > $o).
1.61/0.68	thf(func_def_395, type, sK25: $i > $i > $i).
1.61/0.68	thf(func_def_400, type, sK30: $i > $i > $i > $i > $i).
1.61/0.68	thf(func_def_401, type, sK31: $i > $i > $i > $i > $i).
1.61/0.68	thf(func_def_402, type, sK32: $i > $i > $i > $i > $i).
1.61/0.68	thf(func_def_403, type, sK33: $i > $i > $i > $i > $i).
1.61/0.68	thf(func_def_441, type, sK71: $i > $o).
1.61/0.68	thf(func_def_443, type, sK73: ($i > $o) > $i > $i).
1.61/0.68	thf(func_def_444, type, sK74: ($i > $o) > $i > $i).
1.61/0.68	thf(func_def_477, type, sK107: $i > $o).
1.61/0.68	thf(func_def_479, type, sK109: ($i > $o) > $i > $i > $i > $i).
1.61/0.68	thf(func_def_480, type, sK110: ($i > $o) > $i > $i > $i > $i).
1.61/0.68	thf(func_def_488, type, sK118: $i > $i > $i > $i).
1.61/0.68	thf(func_def_499, type, sK129: $i > $i > ($i > $i > $o) > $i).
1.61/0.68	thf(func_def_500, type, sK130: $i > $i > $o).
1.61/0.68	thf(func_def_503, type, sK133: $i > $i).
1.61/0.68	thf(func_def_514, type, sK144: $i > $i).
1.61/0.68	thf(func_def_517, type, sK147: $i > $i > ($i > $i) > $i).
1.61/0.68	thf(func_def_524, type, sK154: $i > $o).
1.61/0.68	thf(func_def_579, type, sK209: $i > $i > $i).
1.61/0.68	thf(func_def_580, type, sK210: $i > $i > $i).
1.61/0.68	thf(func_def_581, type, sK211: $i > $i > $i).
1.61/0.68	thf(func_def_582, type, sK212: $i > $i > $i).
1.61/0.68	thf(func_def_583, type, sK213: $i > $i > $i > $i).
1.61/0.68	thf(func_def_584, type, sK214: $i > $i).
1.61/0.68	thf(func_def_585, type, sK215: $i > $i).
1.61/0.68	thf(func_def_586, type, sK216: $i > $i).
1.61/0.68	thf(func_def_587, type, sK217: $i > $i).
1.61/0.68	thf(func_def_588, type, sK218: $i > $i > $i).
1.61/0.68	thf(func_def_589, type, sK219: $i > $i > $i > $i).
1.61/0.68	thf(func_def_590, type, sK220: $i > $i > $i > $i).
1.61/0.68	thf(func_def_591, type, sK221: $i > $i > $i).
1.61/0.68	thf(func_def_592, type, sK222: $i > $i > $i).
1.61/0.68	thf(func_def_593, type, sK223: $i > $i).
1.61/0.68	thf(func_def_594, type, sK224: $i > $i > $i).
1.61/0.68	thf(func_def_596, type, sK226: $i > $i).
1.61/0.68	thf(func_def_597, type, sK227: $i > $i).
1.61/0.68	thf(func_def_606, type, sK236: $i > $i > $o).
1.61/0.68	thf(func_def_615, type, sK245: $i > $o).
1.61/0.68	thf(func_def_621, type, sK251: $i > $i > $i > $i > $i).
1.61/0.68	thf(func_def_629, type, sK259: $i > $i).
1.61/0.68	thf(func_def_632, type, sK262: $i > $o).
1.61/0.68	thf(func_def_634, type, sK264: ($i > $o) > $i > $i > $i).
1.61/0.68	thf(func_def_635, type, sK265: ($i > $o) > $i > $i > $i).
1.61/0.68	thf(func_def_650, type, sK280: $i > $i).
1.61/0.68	thf(func_def_653, type, sK283: $i > $i > ($i > $i) > $i).
1.61/0.68	thf(func_def_667, type, sK297: ($i > $o) > $i).
1.61/0.68	thf(func_def_668, type, sK298: $i > $o).
1.61/0.68	thf(func_def_669, type, sK299: $i > $i).
1.61/0.68	thf(func_def_670, type, sK300: $i > $o).
1.61/0.68	thf(func_def_673, type, sK303: $i > ($i > $o) > $i).
1.61/0.68	thf(func_def_676, type, sK306: $i > $i > $i).
1.61/0.68	thf(func_def_677, type, sK307: $i > $i > $i).
1.61/0.68	thf(func_def_682, type, sK312: ($i > $o) > $i > $i).
1.61/0.68	thf(func_def_684, type, sK314: $i > $o).
1.61/0.68	thf(func_def_686, type, sK316: $i > $i > ($i > $i) > $i).
1.61/0.68	thf(func_def_687, type, sK317: $i > $i).
1.61/0.68	thf(func_def_693, type, sK323: $i > $i > $i).
1.61/0.68	thf(func_def_704, type, sK334: $i > $o).
1.61/0.68	thf(func_def_725, type, sK355: $i > $i).
1.61/0.68	thf(func_def_733, type, sK363: $i > $i > $o).
1.61/0.68	thf(func_def_755, type, sK385: $i > $i).
1.61/0.68	thf(func_def_759, type, sK389: $i > $i > $i > $i).
1.61/0.68	thf(func_def_763, type, sK393: $i > $i > $i > $i).
1.61/0.68	thf(func_def_767, type, sK397: $o > $i > $i > $i).
1.61/0.68	thf(func_def_788, type, sK418: $i > $i).
1.61/0.68	thf(func_def_806, type, sK436: ($i > $o) > $i).
1.61/0.68	thf(func_def_807, type, sK437: $i > $o).
1.61/0.68	thf(func_def_808, type, sK438: $i > $i).
1.61/0.68	thf(func_def_809, type, sK439: $i > $o).
1.61/0.68	thf(func_def_825, type, sK455: $i > $o).
1.61/0.68	thf(func_def_827, type, sK457: ($i > $o) > $i).
1.61/0.68	thf(func_def_828, type, sK458: ($i > $o) > $i).
1.61/0.68	thf(func_def_845, type, sK475: $i > ($i > $o) > $i).
1.61/0.68	thf(func_def_846, type, sK476: $i > $o).
1.61/0.68	thf(func_def_859, type, sK489: $i > $i > $i > $i).
1.61/0.68	thf(func_def_860, type, sK490: $i > $i > $i > $i).
1.61/0.68	thf(func_def_861, type, sK491: $i > $i > $i > $i).
1.61/0.68	thf(func_def_862, type, sK492: $i > $i > $i > $i).
1.61/0.68	thf(func_def_865, type, sK495: $i > $i > $o).
1.61/0.68	thf(func_def_873, type, sK503: $i > $o).
1.61/0.68	thf(func_def_890, type, sK520: $i > $o).
1.61/0.68	thf(func_def_894, type, sK524: $i > $o).
1.61/0.68	thf(func_def_896, type, sK526: ($i > $o) > $i > $i > $i > $i).
1.61/0.68	thf(func_def_897, type, sK527: ($i > $o) > $i > $i > $i > $i).
1.61/0.68	thf(func_def_900, type, sK530: $i > $i > $i).
1.61/0.68	thf(func_def_907, type, sK537: $i > $i > $o).
1.61/0.68	thf(func_def_915, type, sK545: $i > $o).
1.61/0.68	thf(func_def_918, type, sK548: $i > ($i > $o) > $i).
1.61/0.68	thf(func_def_934, type, sK564: $i > $o).
1.61/0.68	thf(func_def_935, type, sK565: ($i > $o) > $i).
1.61/0.68	thf(func_def_936, type, sK566: ($i > $o) > ($i > $o) > $i).
1.61/0.68	thf(func_def_937, type, sK567: ($i > $o) > ($i > $o) > $i).
1.61/0.68	thf(func_def_938, type, sK568: $i > $o).
1.61/0.68	thf(func_def_939, type, sK569: $i > $o).
1.61/0.68	thf(func_def_954, type, sK584: $i > $i > $o).
1.61/0.68	thf(func_def_957, type, sK587: $i > $o).
1.61/0.68	thf(func_def_959, type, sK589: $i > ($i > $o) > $i).
1.61/0.68	thf(func_def_978, type, sK608: $i > $i > $i > $i).
1.61/0.68	thf(func_def_979, type, sK609: $i > $i > $i > $i).
1.61/0.68	thf(func_def_980, type, sK610: $i > $i > $i).
1.61/0.68	thf(func_def_986, type, sK616: $i > $o).
1.61/0.68	thf(func_def_988, type, sK618: ($i > $o) > $i > $i > $i).
1.61/0.68	thf(func_def_989, type, sK619: ($i > $o) > $i > $i > $i).
1.61/0.68	thf(func_def_1019, type, sK649: $i > $i > $i > $i > $i).
1.61/0.68	thf(func_def_1035, type, sK665: $i > $i > $i > $i > $i).
1.61/0.68	thf(func_def_1036, type, sK666: $i > $i > $i > $i > $i).
1.61/0.68	thf(func_def_1059, type, sK689: $i > $i > $o).
1.61/0.68	thf(func_def_1081, type, sK711: ($i > $o) > ($i > $o) > $i).
1.61/0.68	thf(func_def_1082, type, sK712: ($i > $o) > ($i > $o) > $i).
1.61/0.68	thf(func_def_1083, type, sK713: $i > $o).
1.61/0.68	thf(func_def_1084, type, sK714: $i > $o).
1.61/0.68	thf(func_def_1115, type, sK745: $o > $i > $i > $i > $i > $i > $i).
1.61/0.68	thf(func_def_1117, type, sK747: $i > $i).
1.61/0.68	thf(func_def_1122, type, sK752: $i > $o).
1.61/0.68	thf(func_def_1127, type, sK757: $i > $o).
1.61/0.68	thf(func_def_1137, type, sK767: ($i > $o) > $i > $i).
1.61/0.68	thf(func_def_1139, type, sK769: $i > $o).
1.61/0.68	thf(func_def_1146, type, sK776: $i > $i > $i > $i > $i > $i).
1.61/0.68	thf(func_def_1148, type, sK778: $i > $i > $i).
1.61/0.68	thf(func_def_1155, type, sK785: $i > $o).
1.61/0.68	thf(func_def_1163, type, sK793: $i > $i).
1.61/0.68	thf(func_def_1167, type, sK797: $i > $i > ($i > $i) > $i).
1.61/0.68	thf(func_def_1176, type, sK806: $i > $o).
1.61/0.68	thf(func_def_1179, type, sK809: $i > ($i > $o) > $i).
1.61/0.68	thf(func_def_1180, type, sK810: $i > ($i > $o) > $i).
1.61/0.68	thf(func_def_1187, type, sK817: $i > $i).
1.61/0.68	thf(func_def_1188, type, sK818: ($i > $i) > $i > $i > $i).
1.61/0.68	thf(func_def_1199, type, sK829: $i > $i > $i > $i > $i).
1.61/0.68	thf(func_def_1200, type, sK830: $i > ($i > $o) > $i).
1.61/0.68	thf(func_def_1201, type, sK831: $i > $o).
1.61/0.68	thf(func_def_1214, type, sK844: $i > $i > $i > $i).
1.61/0.68	thf(func_def_1217, type, sK847: $i > $o).
1.61/0.68	thf(func_def_1218, type, sK848: ($i > $o) > $i > $i > $i).
1.61/0.68	thf(func_def_1224, type, sK854: $i > $i > $i).
1.61/0.68	thf(func_def_1247, type, sK877: $i > $o).
1.61/0.68	thf(func_def_1257, type, sK887: $i > $i).
1.61/0.68	thf(func_def_1260, type, sK890: $i > $i).
1.61/0.68	thf(func_def_1263, type, sK893: $i > ($i > $o) > $i).
1.61/0.68	thf(func_def_1264, type, sK894: $i > $o).
1.61/0.68	thf(func_def_1276, type, sK906: $i > $o).
1.61/0.68	thf(func_def_1278, type, sK908: ($i > $o) > $i > $i).
1.61/0.68	thf(func_def_1281, type, sK911: $i > $i > $i).
1.61/0.68	thf(func_def_1289, type, sK919: $i > $i > $o).
1.61/0.68	thf(func_def_1320, type, sK950: $i > $i > $o).
1.61/0.68	thf(func_def_1322, type, sK952: $i > $i > ($i > $i) > $i).
1.61/0.68	thf(func_def_1323, type, sK953: $i > $i).
1.61/0.68	thf(func_def_1328, type, sK958: $i > $i > $i).
1.61/0.68	thf(func_def_1331, type, sK961: $i > $o).
1.61/0.68	thf(func_def_1343, type, sK973: $i > $i > $o).
1.61/0.68	thf(func_def_1344, type, sK974: $i > $i).
1.61/0.68	thf(func_def_1345, type, sK975: $i > $i).
1.61/0.68	thf(func_def_1346, type, sK976: ($i > $i > $o) > $i > $i).
1.61/0.68	thf(func_def_1347, type, sK977: ($i > $i > $o) > $i > $i).
1.61/0.68	thf(func_def_1348, type, sK978: $i > ($i > $i > $o) > $i > $i).
1.61/0.68	thf(func_def_1359, type, sK989: $i > $i > $i > $i).
1.61/0.68	thf(func_def_1360, type, sK990: $i > $i > $i > $i).
1.61/0.68	thf(func_def_1374, type, sK1004: $i > $o).
1.61/0.68	thf(func_def_1379, type, sK1009: $i > $o).
1.61/0.68	thf(func_def_1380, type, sK1010: $i > $o).
1.61/0.68	thf(func_def_1381, type, sK1011: ($i > $o) > ($i > $o) > $i > $i > $i).
1.61/0.68	thf(func_def_1382, type, sK1012: ($i > $o) > ($i > $o) > $i > $i > $i).
1.61/0.68	thf(func_def_1384, type, sK1014: $i > $o).
1.61/0.68	thf(func_def_1411, type, ph1041: !>[X0: $tType]:(X0)).
1.61/0.68	thf(f4956,plain,(
1.61/0.68	  $false),
1.61/0.68	  inference(avatar_sat_refutation,[],[f4900,f4914,f4935,f4941,f4955])).
1.61/0.68	thf(f4955,plain,(
1.61/0.68	  spl1040_2),
1.61/0.68	  inference(avatar_contradiction_clause,[],[f4954])).
1.61/0.68	thf(f4954,plain,(
1.61/0.68	  $false | spl1040_2),
1.61/0.68	  inference(subsumption_resolution,[],[f4953,f3316])).
1.61/0.68	thf(f3316,plain,(
1.61/0.68	  (breln1compprop = $true)),
1.61/0.68	  inference(cnf_transformation,[],[f1757])).
1.61/0.68	thf(f1757,plain,(
1.61/0.68	  (prop2set2propI = $true) & (eqimpsubset2 = $true) & (demorgan1 = $true) & (upairsetIR = $true) & (ex1I = $true) & (binunionRsub = $true) & (lam2p = $true) & (demorgan2a = $true) & (binunionLsub = $true) & (inComplementUnionImpNotIn1 = $true) & (complementTI1 = $true) & (demorgan2b2 = $true) & (doubleComplementSub1 = $true) & (breln1unionE = $true) & (eqbreln1 = $true) & (setukpairinjR = $true) & (powersetTE1 = $true) & (setadjoinSub2 = $true) & (complementInPowersetComplementIntersect = $true) & (setukpairIR = $true) & (demorgan2a2 = $true) & (ifSingleton = $true) & (woz1_3 = $true) & (woz1_2 = $true) & (binunionIR = $true) & (contrasubsetT2 = $true) & (cartprodmempair = $true) & (iffalseProp1 = $true) & (breln1SetBreln1 = $true) & (powersetT_lem = $true) & (setukpairinjL = $true) & (kpairp = $true) & (setukpairinjR2 = $true) & (funcImageSingleton = $true) & (binintersectSubset2 = $true) & (dsetconstr__Cong = $true) & (cartprodmempaircEq = $true) & (powersetE = $true) & (cartprodpairsurjEq = $true) & (binunionIL = $true) & (iftrueProp1 = $true) & (omegaSAx = $true) & (prop2setI = $true) & (eta1 = $true) & (singletonsswitch = $true) & (funcextLem = $true) & (binunionTEcontra = $true) & (dsetconstrER = $true) & (contrasubsetT = $true) & (eqinunit = $true) & (descrp = $true) & (setunionsingleton1 = $true) & (eqimpsubset1 = $true) & (quantDeMorgan2 = $true) & (iffalse = $true) & (demorgan2 = $true) & (beta1 = $true) & (emptyI = $true) & (omegaIndAx = $true) & (dpsetconstrEL1 = $true) & (singletoninpowunion = $true) & (lamProp = $true) & (funcGraphProp3 = $true) & (exuI2 = $true) & (singletonprop = $true) & (wellorderingAx = $true) & (breln1compEex = $true) & (complementT_lem = $true) & (disjointsetsI1 = $true) & (inPowerset = $true) & (dsetconstrEL = $true) & (setadjoinIL = $true) & (upairset2IR = $true) & (singletonsubset = $true) & (contraSubsetComplement = $true) & (setOfPairsIsBReln = $true) & (descr__Cong = $true) & (demorgan1a = $true) & (replAx = $true) & (powersetI = $true) & (sepInPowerset = $true) & (notsubsetI = $true) & (subsetTI = $true) & (nonemptyI = $true) & (binunionTILcontra = $true) & (setunionsingleton = $true) & (setukpairinjL1 = $true) & (emptysetE = $true) & (eqbreln = $true) & (app = $true) & (setminusT_lem = $true) & (setadjoinAx = $true) & (breln1compI = $true) & (cartprodfstpairEq = $true) & (quantDeMorgan4 = $true) & (upairinpowunion = $true) & (dsetconstrI = $true) & (setminusEL = $true) & (lam2lamEq = $true) & (setunionE = $true) & (theprop = $true) & (woz1_4 = $true) & (complementTcontraSubset = $true) & (exuI1 = $true) & (complementImpComplementIntersect = $true) & (setukpairIL = $true) & (symdiffE = $true) & (binunionTIRcontra = $true) & (singletoninpowerset = $true) & (subsetRefl = $true) & (subsetTrans = $true) & (singletonsuniq = $true) & (upairset2E = $true) & (ex1E2 = $true) & (emptysetsubset = $true) & (setukpairinjR1 = $true) & (woz2Ex = $true) & (notinsingleton = $true) & (setminusLsub = $true) & (ubforcartprodlem3 = $true) & (foundationAx = $true) & (powerset__Cong = $true) & (binintersectSubset5 = $true) & (iftrue = $true) & (exuE3e = $true) & (powersetTI1 = $true) & (funcGraphProp2 = $true) & (sepSubset = $true) & (breln1all2 = $true) & (iffalseProp2 = $true) & (woz2W = $true) & (binunionE = $true) & (setminusI = $true) & (nonemptyE1 = $true) & (ksndpairEq = $true) & (setextT = $true) & (powersetAx = $true) & (cartprodpairin = $true) & (funcinfuncset = $true) & (setukpairinjL2 = $true) & (woz13rule0 = $true) & (setminusER = $true) & (inComplementUnionImpInComplement1 = $true) & (binunionT_lem = $true) & (setextAx = $true) & (setOfPairsIsBReln1 = $true) & (woz1_5 = $true) & (doubleComplementSub2 = $true) & (dpsetconstrSub = $true) & (intersectInPowersetIntersectUnions = $true) & (inIntersectImpInIntersectUnions = $true) & (breln1invE = $true) & (breln1unionCommutes = $true) & (bs114d = $true) & (cartprodfstin = $true) & (complementSubsetComplementIntersect = $true) & (binintersectSubset1 = $true) & (setukpairinjR11 = $true) & (subsetI1 = $true) & (setadjoinE = $true) & (notequalI2 = $true) & (woz13rule1 = $true) & (beta2 = $true) & (noeltsimpempty = $true) & (symdiffIneg2 = $true) & (exuI3 = $true) & (binintersectSubset4 = $true) & (apProp = $true) & (setoftrueEq = $true) & (notdexE = $true) & (woz1_1 = $true) & (cartprodmempair1 = $true) & (in__Cong = $true) & (nonemptyI1 = $true) & (nonemptyImpWitness = $true) & (dpsetconstrERa = $true) & (omega__Cong = $true) & (funcext = $true) & (breln1invprop = $true) & (cartprodsndin = $true) & (woz13rule4 = $true) & (choice2fnsingleton = $true) & (breln1unionIR = $true) & (exuE2 = $true) & (setunionE2 = $true) & (theeq = $true) & (contrasubsetT1 = $true) & (binintersectLsub = $true) & (doubleComplementI1 = $true) & (cartprodpairmemEL = $true) & (binintersectTERcontra = $true) & (subPowSU = $true) & (powersetsubset = $true) & (exuE1 = $true) & (setminusELneg = $true) & (subbreln1 = $true) & (inIntersectImpInUnion = $true) & (setext = $true) & (complementTnotintersectT = $true) & (inIntersectImpInUnion2 = $true) & (setunionAx = $true) & (dpsetconstrEL2 = $true) & (setunionI = $true) & (symdiffI2 = $true) & (ap2p = $true) & (setukpairinjR12 = $true) & (upairequniteq = $true) & (demorgan2b = $true) & (complementTE1 = $true) & (funcGraphProp4 = $true) & (iftrueorfalse = $true) & (subset2powerset = $true) & (eta2 = $true) & (setadjoin__Cong = $true) & (ifp = $true) & (setextsub = $true) & (notdallE = $true) & (kfstpairEq = $true) & (upairsubunion = $true) & (setbeta = $true) & (binintersectSubset3 = $true) & (emptyset__Cong = $true) & (setunion__Cong = $true) & (upairsetIL = $true) & (ksndsingleton = $true) & (binintersectEL = $true) & (emptyinunitempty = $true) & (uniqinunit = $true) & (breln1unionIL = $true) & (breln1unionEcases = $true) & (woz13rule3 = $true) & (binunionTE = $true) & (setadjoinOr = $true) & (secondinupair = $true) & (binunionEcases = $true) & (infuncsetfunc = $true) & (breln1invI = $true) & (setminusERneg = $true) & (setunionsingleton2 = $true) & (subsetE2 = $true) & (exuEu = $true) & (cartprodpairmemER = $true) & (quantDeMorgan3 = $true) & (kpairsurjEq = $true) & (emptyE1 = $true) & (doubleComplementEq = $true) & (setminusILneg = $true) & (omega0Ax = $true) & (breln1unionprop = $true) & (notequalI1 = $true) & (vacuousDall = $true) & (doubleComplementE1 = $true) & (notinemptyset = $true) & (subsetE = $true) & (funcGraphProp1 = $true) & (binintersectT_lem = $true) & (symdiffIneg1 = $true) & (breln1compE = $true) & (emptyInPowerset = $true) & (brelnall2 = $true) & (binintersectRsub = $true) & (contrasubsetT3 = $true) & (ubforcartprodlem1 = $true) & (demorgan1b = $true) & (breln1unionI = $true) & (woz13rule2 = $true) & (setminusSubset1 = $true) & (binintersectI = $true) & (setadjoinIR = $true) & (kfstsingleton = $true) & (upairsetE = $true) & (ap2apEq1 = $true) & (iftrueProp2 = $true) & (lamp = $true) & (ap2apEq2 = $true) & (emptysetimpfalse = $true) & (quantDeMorgan1 = $true) & (exuE3u = $true) & (powersetI1 = $true) & (kpairiskpair = $true) & (setadjoinSub = $true) & (ubforcartprodlem2 = $true) & (funcext2 = $true) & (prop2setE = $true) & (cartprodsndpairEq = $true) & (($true = (breln1 @ sK254 @ sK255)) & (($true = (breln1 @ sK254 @ sK256)) & (($true = (breln1 @ sK254 @ sK257)) & ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (binunion @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ (breln1invset @ sK254 @ sK257) @ (breln1invset @ sK254 @ sK256))) @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ (breln1invset @ sK254 @ sK257) @ (breln1invset @ sK254 @ sK255)))))))) & (binintersectTELcontra = $true) & (subsetemptysetimpeq = $true) & (emptysetAx = $true) & (inCongP = $true) & (ex1E1 = $true) & (dpsetconstrI = $true) & (binintersectER = $true) & (powersetE1 = $true) & (emptyinPowerset = $true) & (dpsetconstrER = $true) & (setminusSubset2 = $true) & (breln1compprop = $true) & (brelnall1 = $true) & (ex1I2 = $true) & (complementUnionInPowersetComplement = $true) & (subbreln = $true) & (setminusIRneg = $true) & (symdiffI1 = $true) & (woz2A = $true) & (breln1all1 = $true) & (demorgan2a1 = $true) & (subsetI2 = $true) & (exu__Cong = $true)),
1.61/0.68	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK254,sK255,sK256,sK257])],[f1055,f1756,f1755,f1754])).
1.61/0.68	thf(f1754,plain,(
1.61/0.68	  ? [X0,X1] : (($true = (breln1 @ X0 @ X1)) & ? [X2] : (($true = (breln1 @ X0 @ X2)) & ? [X3] : (($true = (breln1 @ X0 @ X3)) & ((binunion @ (breln1invset @ X0 @ (breln1compset @ X0 @ (breln1invset @ X0 @ X3) @ (breln1invset @ X0 @ X2))) @ (breln1invset @ X0 @ (breln1compset @ X0 @ (breln1invset @ X0 @ X3) @ (breln1invset @ X0 @ X1)))) != (breln1compset @ X0 @ (binunion @ X1 @ X2) @ X3))))) => (($true = (breln1 @ sK254 @ sK255)) & ? [X2] : (($true = (breln1 @ sK254 @ X2)) & ? [X3] : (($true = (breln1 @ sK254 @ X3)) & ((binunion @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ (breln1invset @ sK254 @ X3) @ (breln1invset @ sK254 @ X2))) @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ (breln1invset @ sK254 @ X3) @ (breln1invset @ sK254 @ sK255)))) != (breln1compset @ sK254 @ (binunion @ sK255 @ X2) @ X3)))))),
1.61/0.68	  introduced(choice_axiom,[])).
1.61/0.68	thf(f1755,plain,(
1.61/0.68	  ? [X2] : (($true = (breln1 @ sK254 @ X2)) & ? [X3] : (($true = (breln1 @ sK254 @ X3)) & ((binunion @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ (breln1invset @ sK254 @ X3) @ (breln1invset @ sK254 @ X2))) @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ (breln1invset @ sK254 @ X3) @ (breln1invset @ sK254 @ sK255)))) != (breln1compset @ sK254 @ (binunion @ sK255 @ X2) @ X3)))) => (($true = (breln1 @ sK254 @ sK256)) & ? [X3] : (($true = (breln1 @ sK254 @ X3)) & ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ X3) != (binunion @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ (breln1invset @ sK254 @ X3) @ (breln1invset @ sK254 @ sK256))) @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ (breln1invset @ sK254 @ X3) @ (breln1invset @ sK254 @ sK255)))))))),
1.61/0.68	  introduced(choice_axiom,[])).
1.61/0.68	thf(f1756,plain,(
1.61/0.68	  ? [X3] : (($true = (breln1 @ sK254 @ X3)) & ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ X3) != (binunion @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ (breln1invset @ sK254 @ X3) @ (breln1invset @ sK254 @ sK256))) @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ (breln1invset @ sK254 @ X3) @ (breln1invset @ sK254 @ sK255)))))) => (($true = (breln1 @ sK254 @ sK257)) & ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (binunion @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ (breln1invset @ sK254 @ sK257) @ (breln1invset @ sK254 @ sK256))) @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ (breln1invset @ sK254 @ sK257) @ (breln1invset @ sK254 @ sK255))))))),
1.61/0.68	  introduced(choice_axiom,[])).
1.61/0.68	thf(f1055,plain,(
1.61/0.68	  (prop2set2propI = $true) & (eqimpsubset2 = $true) & (demorgan1 = $true) & (upairsetIR = $true) & (ex1I = $true) & (binunionRsub = $true) & (lam2p = $true) & (demorgan2a = $true) & (binunionLsub = $true) & (inComplementUnionImpNotIn1 = $true) & (complementTI1 = $true) & (demorgan2b2 = $true) & (doubleComplementSub1 = $true) & (breln1unionE = $true) & (eqbreln1 = $true) & (setukpairinjR = $true) & (powersetTE1 = $true) & (setadjoinSub2 = $true) & (complementInPowersetComplementIntersect = $true) & (setukpairIR = $true) & (demorgan2a2 = $true) & (ifSingleton = $true) & (woz1_3 = $true) & (woz1_2 = $true) & (binunionIR = $true) & (contrasubsetT2 = $true) & (cartprodmempair = $true) & (iffalseProp1 = $true) & (breln1SetBreln1 = $true) & (powersetT_lem = $true) & (setukpairinjL = $true) & (kpairp = $true) & (setukpairinjR2 = $true) & (funcImageSingleton = $true) & (binintersectSubset2 = $true) & (dsetconstr__Cong = $true) & (cartprodmempaircEq = $true) & (powersetE = $true) & (cartprodpairsurjEq = $true) & (binunionIL = $true) & (iftrueProp1 = $true) & (omegaSAx = $true) & (prop2setI = $true) & (eta1 = $true) & (singletonsswitch = $true) & (funcextLem = $true) & (binunionTEcontra = $true) & (dsetconstrER = $true) & (contrasubsetT = $true) & (eqinunit = $true) & (descrp = $true) & (setunionsingleton1 = $true) & (eqimpsubset1 = $true) & (quantDeMorgan2 = $true) & (iffalse = $true) & (demorgan2 = $true) & (beta1 = $true) & (emptyI = $true) & (omegaIndAx = $true) & (dpsetconstrEL1 = $true) & (singletoninpowunion = $true) & (lamProp = $true) & (funcGraphProp3 = $true) & (exuI2 = $true) & (singletonprop = $true) & (wellorderingAx = $true) & (breln1compEex = $true) & (complementT_lem = $true) & (disjointsetsI1 = $true) & (inPowerset = $true) & (dsetconstrEL = $true) & (setadjoinIL = $true) & (upairset2IR = $true) & (singletonsubset = $true) & (contraSubsetComplement = $true) & (setOfPairsIsBReln = $true) & (descr__Cong = $true) & (demorgan1a = $true) & (replAx = $true) & (powersetI = $true) & (sepInPowerset = $true) & (notsubsetI = $true) & (subsetTI = $true) & (nonemptyI = $true) & (binunionTILcontra = $true) & (setunionsingleton = $true) & (setukpairinjL1 = $true) & (emptysetE = $true) & (eqbreln = $true) & (app = $true) & (setminusT_lem = $true) & (setadjoinAx = $true) & (breln1compI = $true) & (cartprodfstpairEq = $true) & (quantDeMorgan4 = $true) & (upairinpowunion = $true) & (dsetconstrI = $true) & (setminusEL = $true) & (lam2lamEq = $true) & (setunionE = $true) & (theprop = $true) & (woz1_4 = $true) & (complementTcontraSubset = $true) & (exuI1 = $true) & (complementImpComplementIntersect = $true) & (setukpairIL = $true) & (symdiffE = $true) & (binunionTIRcontra = $true) & (singletoninpowerset = $true) & (subsetRefl = $true) & (subsetTrans = $true) & (singletonsuniq = $true) & (upairset2E = $true) & (ex1E2 = $true) & (emptysetsubset = $true) & (setukpairinjR1 = $true) & (woz2Ex = $true) & (notinsingleton = $true) & (setminusLsub = $true) & (ubforcartprodlem3 = $true) & (foundationAx = $true) & (powerset__Cong = $true) & (binintersectSubset5 = $true) & (iftrue = $true) & (exuE3e = $true) & (powersetTI1 = $true) & (funcGraphProp2 = $true) & (sepSubset = $true) & (breln1all2 = $true) & (iffalseProp2 = $true) & (woz2W = $true) & (binunionE = $true) & (setminusI = $true) & (nonemptyE1 = $true) & (ksndpairEq = $true) & (setextT = $true) & (powersetAx = $true) & (cartprodpairin = $true) & (funcinfuncset = $true) & (setukpairinjL2 = $true) & (woz13rule0 = $true) & (setminusER = $true) & (inComplementUnionImpInComplement1 = $true) & (binunionT_lem = $true) & (setextAx = $true) & (setOfPairsIsBReln1 = $true) & (woz1_5 = $true) & (doubleComplementSub2 = $true) & (dpsetconstrSub = $true) & (intersectInPowersetIntersectUnions = $true) & (inIntersectImpInIntersectUnions = $true) & (breln1invE = $true) & (breln1unionCommutes = $true) & (bs114d = $true) & (cartprodfstin = $true) & (complementSubsetComplementIntersect = $true) & (binintersectSubset1 = $true) & (setukpairinjR11 = $true) & (subsetI1 = $true) & (setadjoinE = $true) & (notequalI2 = $true) & (woz13rule1 = $true) & (beta2 = $true) & (noeltsimpempty = $true) & (symdiffIneg2 = $true) & (exuI3 = $true) & (binintersectSubset4 = $true) & (apProp = $true) & (setoftrueEq = $true) & (notdexE = $true) & (woz1_1 = $true) & (cartprodmempair1 = $true) & (in__Cong = $true) & (nonemptyI1 = $true) & (nonemptyImpWitness = $true) & (dpsetconstrERa = $true) & (omega__Cong = $true) & (funcext = $true) & (breln1invprop = $true) & (cartprodsndin = $true) & (woz13rule4 = $true) & (choice2fnsingleton = $true) & (breln1unionIR = $true) & (exuE2 = $true) & (setunionE2 = $true) & (theeq = $true) & (contrasubsetT1 = $true) & (binintersectLsub = $true) & (doubleComplementI1 = $true) & (cartprodpairmemEL = $true) & (binintersectTERcontra = $true) & (subPowSU = $true) & (powersetsubset = $true) & (exuE1 = $true) & (setminusELneg = $true) & (subbreln1 = $true) & (inIntersectImpInUnion = $true) & (setext = $true) & (complementTnotintersectT = $true) & (inIntersectImpInUnion2 = $true) & (setunionAx = $true) & (dpsetconstrEL2 = $true) & (setunionI = $true) & (symdiffI2 = $true) & (ap2p = $true) & (setukpairinjR12 = $true) & (upairequniteq = $true) & (demorgan2b = $true) & (complementTE1 = $true) & (funcGraphProp4 = $true) & (iftrueorfalse = $true) & (subset2powerset = $true) & (eta2 = $true) & (setadjoin__Cong = $true) & (ifp = $true) & (setextsub = $true) & (notdallE = $true) & (kfstpairEq = $true) & (upairsubunion = $true) & (setbeta = $true) & (binintersectSubset3 = $true) & (emptyset__Cong = $true) & (setunion__Cong = $true) & (upairsetIL = $true) & (ksndsingleton = $true) & (binintersectEL = $true) & (emptyinunitempty = $true) & (uniqinunit = $true) & (breln1unionIL = $true) & (breln1unionEcases = $true) & (woz13rule3 = $true) & (binunionTE = $true) & (setadjoinOr = $true) & (secondinupair = $true) & (binunionEcases = $true) & (infuncsetfunc = $true) & (breln1invI = $true) & (setminusERneg = $true) & (setunionsingleton2 = $true) & (subsetE2 = $true) & (exuEu = $true) & (cartprodpairmemER = $true) & (quantDeMorgan3 = $true) & (kpairsurjEq = $true) & (emptyE1 = $true) & (doubleComplementEq = $true) & (setminusILneg = $true) & (omega0Ax = $true) & (breln1unionprop = $true) & (notequalI1 = $true) & (vacuousDall = $true) & (doubleComplementE1 = $true) & (notinemptyset = $true) & (subsetE = $true) & (funcGraphProp1 = $true) & (binintersectT_lem = $true) & (symdiffIneg1 = $true) & (breln1compE = $true) & (emptyInPowerset = $true) & (brelnall2 = $true) & (binintersectRsub = $true) & (contrasubsetT3 = $true) & (ubforcartprodlem1 = $true) & (demorgan1b = $true) & (breln1unionI = $true) & (woz13rule2 = $true) & (setminusSubset1 = $true) & (binintersectI = $true) & (setadjoinIR = $true) & (kfstsingleton = $true) & (upairsetE = $true) & (ap2apEq1 = $true) & (iftrueProp2 = $true) & (lamp = $true) & (ap2apEq2 = $true) & (emptysetimpfalse = $true) & (quantDeMorgan1 = $true) & (exuE3u = $true) & (powersetI1 = $true) & (kpairiskpair = $true) & (setadjoinSub = $true) & (ubforcartprodlem2 = $true) & (funcext2 = $true) & (prop2setE = $true) & (cartprodsndpairEq = $true) & ? [X0,X1] : (($true = (breln1 @ X0 @ X1)) & ? [X2] : (($true = (breln1 @ X0 @ X2)) & ? [X3] : (($true = (breln1 @ X0 @ X3)) & ((binunion @ (breln1invset @ X0 @ (breln1compset @ X0 @ (breln1invset @ X0 @ X3) @ (breln1invset @ X0 @ X2))) @ (breln1invset @ X0 @ (breln1compset @ X0 @ (breln1invset @ X0 @ X3) @ (breln1invset @ X0 @ X1)))) != (breln1compset @ X0 @ (binunion @ X1 @ X2) @ X3))))) & (binintersectTELcontra = $true) & (subsetemptysetimpeq = $true) & (emptysetAx = $true) & (inCongP = $true) & (ex1E1 = $true) & (dpsetconstrI = $true) & (binintersectER = $true) & (powersetE1 = $true) & (emptyinPowerset = $true) & (dpsetconstrER = $true) & (setminusSubset2 = $true) & (breln1compprop = $true) & (brelnall1 = $true) & (ex1I2 = $true) & (complementUnionInPowersetComplement = $true) & (subbreln = $true) & (setminusIRneg = $true) & (symdiffI1 = $true) & (woz2A = $true) & (breln1all1 = $true) & (demorgan2a1 = $true) & (subsetI2 = $true) & (exu__Cong = $true)),
1.61/0.68	  inference(flattening,[],[f1054])).
1.61/0.68	thf(f1054,plain,(
1.61/0.68	  (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (($true = (breln1 @ X0 @ X1)) & ? [X2] : (($true = (breln1 @ X0 @ X2)) & ? [X3] : (($true = (breln1 @ X0 @ X3)) & ((binunion @ (breln1invset @ X0 @ (breln1compset @ X0 @ (breln1invset @ X0 @ X3) @ (breln1invset @ X0 @ X2))) @ (breln1invset @ X0 @ (breln1compset @ X0 @ (breln1invset @ X0 @ X3) @ (breln1invset @ X0 @ X1)))) != (breln1compset @ X0 @ (binunion @ X1 @ X2) @ X3))))) & (woz2A = $true)) & (woz2W = $true)) & (woz2Ex = $true)) & (breln1unionCommutes = $true)) & (breln1unionEcases = $true)) & (breln1unionE = $true)) & (breln1unionI = $true)) & (breln1unionIR = $true)) & (breln1unionIL = $true)) & (breln1unionprop = $true)) & (breln1compEex = $true)) & (breln1compE = $true)) & (breln1compI = $true)) & (breln1compprop = $true)) & (breln1invE = $true)) & (breln1invI = $true)) & (breln1invprop = $true)) & (eqbreln1 = $true)) & (subbreln1 = $true)) & (breln1all1 = $true)) & (setOfPairsIsBReln1 = $true)) & (choice2fnsingleton = $true)) & (breln1SetBreln1 = $true)) & (breln1all2 = $true)) & (woz1_5 = $true)) & (woz1_4 = $true)) & (woz1_3 = $true)) & (woz1_2 = $true)) & (woz1_1 = $true)) & (woz13rule4 = $true)) & (woz13rule3 = $true)) & (woz13rule2 = $true)) & (woz13rule1 = $true)) & (woz13rule0 = $true)) & (demorgan2 = $true)) & (demorgan2b = $true)) & (demorgan2b2 = $true)) & (demorgan2a = $true)) & (demorgan1 = $true)) & (demorgan1b = $true)) & (demorgan1a = $true)) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
1.61/0.68	  inference(ennf_transformation,[],[f523])).
1.61/0.68	thf(f523,plain,(
1.61/0.68	  ~((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) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ((demorgan1b = $true) => ((demorgan1 = $true) => ((demorgan2a = $true) => ((demorgan2b2 = $true) => ((demorgan2b = $true) => ((demorgan2 = $true) => ((woz13rule0 = $true) => ((woz13rule1 = $true) => ((woz13rule2 = $true) => ((woz13rule3 = $true) => ((woz13rule4 = $true) => ((woz1_1 = $true) => ((woz1_2 = $true) => ((woz1_3 = $true) => ((woz1_4 = $true) => ((woz1_5 = $true) => ((breln1all2 = $true) => ((breln1SetBreln1 = $true) => ((choice2fnsingleton = $true) => ((setOfPairsIsBReln1 = $true) => ((breln1all1 = $true) => ((subbreln1 = $true) => ((eqbreln1 = $true) => ((breln1invprop = $true) => ((breln1invI = $true) => ((breln1invE = $true) => ((breln1compprop = $true) => ((breln1compI = $true) => ((breln1compE = $true) => ((breln1compEex = $true) => ((breln1unionprop = $true) => ((breln1unionIL = $true) => ((breln1unionIR = $true) => ((breln1unionI = $true) => ((breln1unionE = $true) => ((breln1unionEcases = $true) => ((breln1unionCommutes = $true) => ((woz2Ex = $true) => ((woz2W = $true) => ((woz2A = $true) => ! [X0,X1] : (($true = (breln1 @ X0 @ X1)) => ! [X2] : (($true = (breln1 @ X0 @ X2)) => ! [X3] : (($true = (breln1 @ X0 @ X3)) => ((binunion @ (breln1invset @ X0 @ (breln1compset @ X0 @ (breln1invset @ X0 @ X3) @ (breln1invset @ X0 @ X2))) @ (breln1invset @ X0 @ (breln1compset @ X0 @ (breln1invset @ X0 @ X3) @ (breln1invset @ X0 @ X1)))) = (breln1compset @ X0 @ (binunion @ X1 @ X2) @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.61/0.68	  inference(fool_elimination,[],[f522])).
1.61/0.68	thf(f522,plain,(
1.61/0.68	  ~(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 => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => ! [X0,X1] : ((breln1 @ X0 @ X1) => ! [X2] : ((breln1 @ X0 @ X2) => ! [X3] : ((breln1 @ X0 @ X3) => ((binunion @ (breln1invset @ X0 @ (breln1compset @ X0 @ (breln1invset @ X0 @ X3) @ (breln1invset @ X0 @ X2))) @ (breln1invset @ X0 @ (breln1compset @ X0 @ (breln1invset @ X0 @ X3) @ (breln1invset @ X0 @ X1)))) = (breln1compset @ X0 @ (binunion @ X1 @ X2) @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.61/0.68	  inference(rectify,[],[f312])).
1.61/0.68	thf(f312,negated_conjecture,(
1.61/0.68	  ~(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 => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => ! [X3,X13] : ((breln1 @ X3 @ X13) => ! [X15] : ((breln1 @ X3 @ X15) => ! [X19] : ((breln1 @ X3 @ X19) => ((breln1compset @ X3 @ (binunion @ X13 @ X15) @ X19) = (binunion @ (breln1invset @ X3 @ (breln1compset @ X3 @ (breln1invset @ X3 @ X19) @ (breln1invset @ X3 @ X15))) @ (breln1invset @ X3 @ (breln1compset @ X3 @ (breln1invset @ X3 @ X19) @ (breln1invset @ X3 @ X13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.61/0.68	  inference(negated_conjecture,[],[f311])).
1.61/0.68	thf(f311,conjecture,(
1.61/0.68	  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 => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => ! [X3,X13] : ((breln1 @ X3 @ X13) => ! [X15] : ((breln1 @ X3 @ X15) => ! [X19] : ((breln1 @ X3 @ X19) => ((breln1compset @ X3 @ (binunion @ X13 @ X15) @ X19) = (binunion @ (breln1invset @ X3 @ (breln1compset @ X3 @ (breln1invset @ X3 @ X19) @ (breln1invset @ X3 @ X15))) @ (breln1invset @ X3 @ (breln1compset @ X3 @ (breln1invset @ X3 @ X19) @ (breln1invset @ X3 @ X13)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.61/0.68	  file('/export/starexec/sandbox/tmp/tmp.uWTnY9byVt/Vampire---4.8_32630',woz2B)).
1.61/0.68	thf(f4953,plain,(
1.61/0.68	  (breln1compprop != $true) | spl1040_2),
1.61/0.68	  inference(subsumption_resolution,[],[f4952,f3331])).
1.61/0.68	thf(f3331,plain,(
1.61/0.68	  ($true = (breln1 @ sK254 @ sK255))),
1.61/0.68	  inference(cnf_transformation,[],[f1757])).
1.61/0.68	thf(f4952,plain,(
1.61/0.68	  ($true != (breln1 @ sK254 @ sK255)) | (breln1compprop != $true) | spl1040_2),
1.61/0.68	  inference(subsumption_resolution,[],[f4951,f3329])).
1.61/0.68	thf(f3329,plain,(
1.61/0.68	  ($true = (breln1 @ sK254 @ sK257))),
1.61/0.68	  inference(cnf_transformation,[],[f1757])).
1.61/0.68	thf(f4951,plain,(
1.61/0.68	  ($true != (breln1 @ sK254 @ sK257)) | (breln1compprop != $true) | ($true != (breln1 @ sK254 @ sK255)) | spl1040_2),
1.61/0.68	  inference(trivial_inequality_removal,[],[f4950])).
1.61/0.68	thf(f4950,plain,(
1.61/0.68	  (breln1compprop != $true) | ($true != (breln1 @ sK254 @ sK257)) | ($true != (breln1 @ sK254 @ sK255)) | ($true != $true) | spl1040_2),
1.61/0.68	  inference(superposition,[],[f4899,f4579])).
1.61/0.68	thf(f4579,plain,(
1.61/0.68	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (((breln1 @ X0 @ (breln1compset @ X0 @ X1 @ X2)) = $true) | (breln1compprop != $true) | ($true != (breln1 @ X0 @ X1)) | ($true != (breln1 @ X0 @ X2))) )),
1.61/0.68	  inference(cnf_transformation,[],[f2851])).
1.61/0.68	thf(f2851,plain,(
1.61/0.68	  (! [X0,X1] : (! [X2] : (($true != (breln1 @ X0 @ X2)) | ((breln1 @ X0 @ (breln1compset @ X0 @ X1 @ X2)) = $true)) | ($true != (breln1 @ X0 @ X1))) | (breln1compprop != $true)) & ((breln1compprop = $true) | ((((breln1 @ sK964 @ sK966) = $true) & ((breln1 @ sK964 @ (breln1compset @ sK964 @ sK965 @ sK966)) != $true)) & ($true = (breln1 @ sK964 @ sK965))))),
1.61/0.68	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK964,sK965,sK966])],[f2848,f2850,f2849])).
1.61/0.68	thf(f2849,plain,(
1.61/0.68	  ? [X3,X4] : (? [X5] : (($true = (breln1 @ X3 @ X5)) & ((breln1 @ X3 @ (breln1compset @ X3 @ X4 @ X5)) != $true)) & ($true = (breln1 @ X3 @ X4))) => (? [X5] : (($true = (breln1 @ sK964 @ X5)) & ($true != (breln1 @ sK964 @ (breln1compset @ sK964 @ sK965 @ X5)))) & ($true = (breln1 @ sK964 @ sK965)))),
1.61/0.68	  introduced(choice_axiom,[])).
1.61/0.68	thf(f2850,plain,(
1.61/0.68	  ? [X5] : (($true = (breln1 @ sK964 @ X5)) & ($true != (breln1 @ sK964 @ (breln1compset @ sK964 @ sK965 @ X5)))) => (((breln1 @ sK964 @ sK966) = $true) & ((breln1 @ sK964 @ (breln1compset @ sK964 @ sK965 @ sK966)) != $true))),
1.61/0.68	  introduced(choice_axiom,[])).
1.61/0.68	thf(f2848,plain,(
1.61/0.68	  (! [X0,X1] : (! [X2] : (($true != (breln1 @ X0 @ X2)) | ((breln1 @ X0 @ (breln1compset @ X0 @ X1 @ X2)) = $true)) | ($true != (breln1 @ X0 @ X1))) | (breln1compprop != $true)) & ((breln1compprop = $true) | ? [X3,X4] : (? [X5] : (($true = (breln1 @ X3 @ X5)) & ((breln1 @ X3 @ (breln1compset @ X3 @ X4 @ X5)) != $true)) & ($true = (breln1 @ X3 @ X4))))),
1.61/0.68	  inference(rectify,[],[f2847])).
1.61/0.68	thf(f2847,plain,(
1.61/0.68	  (! [X0,X1] : (! [X2] : (($true != (breln1 @ X0 @ X2)) | ((breln1 @ X0 @ (breln1compset @ X0 @ X1 @ X2)) = $true)) | ($true != (breln1 @ X0 @ X1))) | (breln1compprop != $true)) & ((breln1compprop = $true) | ? [X0,X1] : (? [X2] : (($true = (breln1 @ X0 @ X2)) & ((breln1 @ X0 @ (breln1compset @ X0 @ X1 @ X2)) != $true)) & ($true = (breln1 @ X0 @ X1))))),
1.61/0.68	  inference(nnf_transformation,[],[f993])).
1.61/0.68	thf(f993,plain,(
1.61/0.68	  ! [X0,X1] : (! [X2] : (($true != (breln1 @ X0 @ X2)) | ((breln1 @ X0 @ (breln1compset @ X0 @ X1 @ X2)) = $true)) | ($true != (breln1 @ X0 @ X1))) <=> (breln1compprop = $true)),
1.61/0.68	  inference(ennf_transformation,[],[f750])).
1.61/0.68	thf(f750,plain,(
1.61/0.68	  (breln1compprop = $true) <=> ! [X0,X1] : (($true = (breln1 @ X0 @ X1)) => ! [X2] : (($true = (breln1 @ X0 @ X2)) => ((breln1 @ X0 @ (breln1compset @ X0 @ X1 @ X2)) = $true)))),
1.61/0.68	  inference(fool_elimination,[],[f749])).
1.61/0.68	thf(f749,plain,(
1.61/0.68	  (breln1compprop = ! [X0,X1] : ((breln1 @ X0 @ X1) => ! [X2] : ((breln1 @ X0 @ X2) => (breln1 @ X0 @ (breln1compset @ X0 @ X1 @ X2)))))),
1.61/0.68	  inference(rectify,[],[f297])).
1.61/0.68	thf(f297,axiom,(
1.61/0.68	  (breln1compprop = ! [X3,X13] : ((breln1 @ X3 @ X13) => ! [X15] : ((breln1 @ X3 @ X15) => (breln1 @ X3 @ (breln1compset @ X3 @ X13 @ X15)))))),
1.61/0.68	  file('/export/starexec/sandbox/tmp/tmp.uWTnY9byVt/Vampire---4.8_32630',breln1compprop)).
1.61/0.68	thf(f4899,plain,(
1.61/0.68	  ($true != (breln1 @ sK254 @ (breln1compset @ sK254 @ sK255 @ sK257))) | spl1040_2),
1.61/0.68	  inference(avatar_component_clause,[],[f4897])).
1.61/0.68	thf(f4897,plain,(
1.61/0.68	  spl1040_2 <=> ($true = (breln1 @ sK254 @ (breln1compset @ sK254 @ sK255 @ sK257)))),
1.61/0.68	  introduced(avatar_definition,[new_symbols(naming,[spl1040_2])])).
1.61/0.68	thf(f4941,plain,(
1.61/0.68	  spl1040_4),
1.61/0.68	  inference(avatar_contradiction_clause,[],[f4940])).
1.61/0.68	thf(f4940,plain,(
1.61/0.68	  $false | spl1040_4),
1.61/0.68	  inference(subsumption_resolution,[],[f4939,f3316])).
1.61/0.68	thf(f4939,plain,(
1.61/0.68	  (breln1compprop != $true) | spl1040_4),
1.61/0.68	  inference(subsumption_resolution,[],[f4938,f3329])).
1.61/0.68	thf(f4938,plain,(
1.61/0.68	  ($true != (breln1 @ sK254 @ sK257)) | (breln1compprop != $true) | spl1040_4),
1.61/0.68	  inference(subsumption_resolution,[],[f4937,f3330])).
1.61/0.68	thf(f3330,plain,(
1.61/0.68	  ($true = (breln1 @ sK254 @ sK256))),
1.61/0.68	  inference(cnf_transformation,[],[f1757])).
1.61/0.68	thf(f4937,plain,(
1.61/0.68	  ($true != (breln1 @ sK254 @ sK256)) | ($true != (breln1 @ sK254 @ sK257)) | (breln1compprop != $true) | spl1040_4),
1.61/0.68	  inference(trivial_inequality_removal,[],[f4936])).
1.61/0.68	thf(f4936,plain,(
1.61/0.68	  ($true != $true) | ($true != (breln1 @ sK254 @ sK257)) | (breln1compprop != $true) | ($true != (breln1 @ sK254 @ sK256)) | spl1040_4),
1.61/0.68	  inference(superposition,[],[f4913,f4579])).
1.61/0.68	thf(f4913,plain,(
1.61/0.68	  ($true != (breln1 @ sK254 @ (breln1compset @ sK254 @ sK256 @ sK257))) | spl1040_4),
1.61/0.68	  inference(avatar_component_clause,[],[f4911])).
1.61/0.68	thf(f4911,plain,(
1.61/0.68	  spl1040_4 <=> ($true = (breln1 @ sK254 @ (breln1compset @ sK254 @ sK256 @ sK257)))),
1.61/0.68	  introduced(avatar_definition,[new_symbols(naming,[spl1040_4])])).
1.61/0.68	thf(f4935,plain,(
1.61/0.68	  spl1040_3),
1.61/0.68	  inference(avatar_contradiction_clause,[],[f4934])).
1.61/0.68	thf(f4934,plain,(
1.61/0.68	  $false | spl1040_3),
1.61/0.68	  inference(subsumption_resolution,[],[f4933,f3331])).
1.61/0.68	thf(f4933,plain,(
1.61/0.68	  ($true != (breln1 @ sK254 @ sK255)) | spl1040_3),
1.61/0.68	  inference(trivial_inequality_removal,[],[f4928])).
1.61/0.68	thf(f4928,plain,(
1.61/0.68	  ($true != $true) | ($true != (breln1 @ sK254 @ sK255)) | spl1040_3),
1.61/0.68	  inference(superposition,[],[f4927,f3330])).
1.61/0.68	thf(f4927,plain,(
1.61/0.68	  ( ! [X0 : $i] : (($true != (breln1 @ X0 @ sK256)) | ($true != (breln1 @ X0 @ sK255))) ) | spl1040_3),
1.61/0.68	  inference(subsumption_resolution,[],[f4926,f3464])).
1.61/0.68	thf(f3464,plain,(
1.61/0.68	  (breln1unionCommutes = $true)),
1.61/0.68	  inference(cnf_transformation,[],[f1757])).
1.61/0.68	thf(f4926,plain,(
1.61/0.68	  ( ! [X0 : $i] : (($true != (breln1 @ X0 @ sK255)) | ($true != (breln1 @ X0 @ sK256)) | (breln1unionCommutes != $true)) ) | spl1040_3),
1.61/0.68	  inference(trivial_inequality_removal,[],[f4924])).
1.61/0.68	thf(f4924,plain,(
1.61/0.68	  ( ! [X0 : $i] : (($true != (breln1 @ X0 @ sK255)) | (breln1unionCommutes != $true) | ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257)) | ($true != (breln1 @ X0 @ sK256))) ) | spl1040_3),
1.61/0.68	  inference(superposition,[],[f4922,f3752])).
1.61/0.68	thf(f3752,plain,(
1.61/0.68	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (((binunion @ X1 @ X2) = (binunion @ X2 @ X1)) | ($true != (breln1 @ X0 @ X1)) | ($true != (breln1 @ X0 @ X2)) | (breln1unionCommutes != $true)) )),
1.61/0.68	  inference(cnf_transformation,[],[f1924])).
1.61/0.68	thf(f1924,plain,(
1.61/0.68	  (! [X0,X1] : (($true != (breln1 @ X0 @ X1)) | ! [X2] : (($true != (breln1 @ X0 @ X2)) | ((binunion @ X1 @ X2) = (binunion @ X2 @ X1)))) | (breln1unionCommutes != $true)) & ((breln1unionCommutes = $true) | (($true = (breln1 @ sK364 @ sK365)) & (((breln1 @ sK364 @ sK366) = $true) & ((binunion @ sK366 @ sK365) != (binunion @ sK365 @ sK366)))))),
1.61/0.68	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK364,sK365,sK366])],[f1921,f1923,f1922])).
1.61/0.68	thf(f1922,plain,(
1.61/0.68	  ? [X3,X4] : (($true = (breln1 @ X3 @ X4)) & ? [X5] : (($true = (breln1 @ X3 @ X5)) & ((binunion @ X4 @ X5) != (binunion @ X5 @ X4)))) => (($true = (breln1 @ sK364 @ sK365)) & ? [X5] : (($true = (breln1 @ sK364 @ X5)) & ((binunion @ X5 @ sK365) != (binunion @ sK365 @ X5))))),
1.61/0.68	  introduced(choice_axiom,[])).
1.61/0.68	thf(f1923,plain,(
1.61/0.68	  ? [X5] : (($true = (breln1 @ sK364 @ X5)) & ((binunion @ X5 @ sK365) != (binunion @ sK365 @ X5))) => (((breln1 @ sK364 @ sK366) = $true) & ((binunion @ sK366 @ sK365) != (binunion @ sK365 @ sK366)))),
1.61/0.68	  introduced(choice_axiom,[])).
1.61/0.68	thf(f1921,plain,(
1.61/0.68	  (! [X0,X1] : (($true != (breln1 @ X0 @ X1)) | ! [X2] : (($true != (breln1 @ X0 @ X2)) | ((binunion @ X1 @ X2) = (binunion @ X2 @ X1)))) | (breln1unionCommutes != $true)) & ((breln1unionCommutes = $true) | ? [X3,X4] : (($true = (breln1 @ X3 @ X4)) & ? [X5] : (($true = (breln1 @ X3 @ X5)) & ((binunion @ X4 @ X5) != (binunion @ X5 @ X4)))))),
1.61/0.68	  inference(rectify,[],[f1920])).
1.61/0.68	thf(f1920,plain,(
1.61/0.68	  (! [X0,X1] : (($true != (breln1 @ X0 @ X1)) | ! [X2] : (($true != (breln1 @ X0 @ X2)) | ((binunion @ X1 @ X2) = (binunion @ X2 @ X1)))) | (breln1unionCommutes != $true)) & ((breln1unionCommutes = $true) | ? [X0,X1] : (($true = (breln1 @ X0 @ X1)) & ? [X2] : (($true = (breln1 @ X0 @ X2)) & ((binunion @ X1 @ X2) != (binunion @ X2 @ X1)))))),
1.61/0.68	  inference(nnf_transformation,[],[f1203])).
1.61/0.68	thf(f1203,plain,(
1.61/0.68	  ! [X0,X1] : (($true != (breln1 @ X0 @ X1)) | ! [X2] : (($true != (breln1 @ X0 @ X2)) | ((binunion @ X1 @ X2) = (binunion @ X2 @ X1)))) <=> (breln1unionCommutes = $true)),
1.61/0.68	  inference(ennf_transformation,[],[f833])).
1.61/0.68	thf(f833,plain,(
1.61/0.68	  ! [X0,X1] : (($true = (breln1 @ X0 @ X1)) => ! [X2] : (($true = (breln1 @ X0 @ X2)) => ((binunion @ X1 @ X2) = (binunion @ X2 @ X1)))) <=> (breln1unionCommutes = $true)),
1.61/0.68	  inference(fool_elimination,[],[f832])).
1.61/0.68	thf(f832,plain,(
1.61/0.68	  (breln1unionCommutes = ! [X0,X1] : ((breln1 @ X0 @ X1) => ! [X2] : ((breln1 @ X0 @ X2) => ((binunion @ X1 @ X2) = (binunion @ X2 @ X1)))))),
1.61/0.68	  inference(rectify,[],[f307])).
1.61/0.68	thf(f307,axiom,(
1.61/0.68	  (breln1unionCommutes = ! [X3,X13] : ((breln1 @ X3 @ X13) => ! [X15] : ((breln1 @ X3 @ X15) => ((binunion @ X13 @ X15) = (binunion @ X15 @ X13)))))),
1.61/0.68	  file('/export/starexec/sandbox/tmp/tmp.uWTnY9byVt/Vampire---4.8_32630',breln1unionCommutes)).
1.61/0.68	thf(f4922,plain,(
1.61/0.68	  ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (breln1compset @ sK254 @ (binunion @ sK256 @ sK255) @ sK257)) | spl1040_3),
1.61/0.68	  inference(subsumption_resolution,[],[f4921,f3330])).
1.61/0.68	thf(f4921,plain,(
1.61/0.68	  ($true != (breln1 @ sK254 @ sK256)) | ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (breln1compset @ sK254 @ (binunion @ sK256 @ sK255) @ sK257)) | spl1040_3),
1.61/0.68	  inference(subsumption_resolution,[],[f4920,f3331])).
1.61/0.68	thf(f4920,plain,(
1.61/0.68	  ($true != (breln1 @ sK254 @ sK255)) | ($true != (breln1 @ sK254 @ sK256)) | ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (breln1compset @ sK254 @ (binunion @ sK256 @ sK255) @ sK257)) | spl1040_3),
1.61/0.68	  inference(subsumption_resolution,[],[f4919,f3309])).
1.61/0.68	thf(f3309,plain,(
1.61/0.68	  (woz2A = $true)),
1.61/0.68	  inference(cnf_transformation,[],[f1757])).
1.61/0.68	thf(f4919,plain,(
1.61/0.68	  (woz2A != $true) | ($true != (breln1 @ sK254 @ sK256)) | ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (breln1compset @ sK254 @ (binunion @ sK256 @ sK255) @ sK257)) | ($true != (breln1 @ sK254 @ sK255)) | spl1040_3),
1.61/0.68	  inference(subsumption_resolution,[],[f4915,f3329])).
1.61/0.68	thf(f4915,plain,(
1.61/0.68	  ($true != (breln1 @ sK254 @ sK257)) | ($true != (breln1 @ sK254 @ sK255)) | (woz2A != $true) | ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (breln1compset @ sK254 @ (binunion @ sK256 @ sK255) @ sK257)) | ($true != (breln1 @ sK254 @ sK256)) | spl1040_3),
1.61/0.68	  inference(superposition,[],[f4909,f4246])).
1.61/0.68	thf(f4246,plain,(
1.61/0.68	  ( ! [X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((binunion @ (breln1compset @ X5 @ X4 @ X7) @ (breln1compset @ X5 @ X6 @ X7)) = (breln1compset @ X5 @ (binunion @ X4 @ X6) @ X7)) | ($true != (breln1 @ X5 @ X4)) | ((breln1 @ X5 @ X6) != $true) | ($true != (breln1 @ X5 @ X7)) | (woz2A != $true)) )),
1.61/0.68	  inference(cnf_transformation,[],[f2474])).
1.61/0.68	thf(f2474,plain,(
1.61/0.68	  ((woz2A = $true) | (((breln1 @ sK722 @ sK721) = $true) & (($true = (breln1 @ sK722 @ sK723)) & (($true = (breln1 @ sK722 @ sK724)) & ((breln1compset @ sK722 @ (binunion @ sK721 @ sK723) @ sK724) != (binunion @ (breln1compset @ sK722 @ sK721 @ sK724) @ (breln1compset @ sK722 @ sK723 @ sK724))))))) & (! [X4,X5] : (($true != (breln1 @ X5 @ X4)) | ! [X6] : (((breln1 @ X5 @ X6) != $true) | ! [X7] : (($true != (breln1 @ X5 @ X7)) | ((binunion @ (breln1compset @ X5 @ X4 @ X7) @ (breln1compset @ X5 @ X6 @ X7)) = (breln1compset @ X5 @ (binunion @ X4 @ X6) @ X7))))) | (woz2A != $true))),
1.61/0.68	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK721,sK722,sK723,sK724])],[f2470,f2473,f2472,f2471])).
1.61/0.68	thf(f2471,plain,(
1.61/0.68	  ? [X0,X1] : (($true = (breln1 @ X1 @ X0)) & ? [X2] : (($true = (breln1 @ X1 @ X2)) & ? [X3] : (($true = (breln1 @ X1 @ X3)) & ((binunion @ (breln1compset @ X1 @ X0 @ X3) @ (breln1compset @ X1 @ X2 @ X3)) != (breln1compset @ X1 @ (binunion @ X0 @ X2) @ X3))))) => (((breln1 @ sK722 @ sK721) = $true) & ? [X2] : (((breln1 @ sK722 @ X2) = $true) & ? [X3] : (($true = (breln1 @ sK722 @ X3)) & ((binunion @ (breln1compset @ sK722 @ sK721 @ X3) @ (breln1compset @ sK722 @ X2 @ X3)) != (breln1compset @ sK722 @ (binunion @ sK721 @ X2) @ X3)))))),
1.61/0.68	  introduced(choice_axiom,[])).
1.61/0.68	thf(f2472,plain,(
1.61/0.68	  ? [X2] : (((breln1 @ sK722 @ X2) = $true) & ? [X3] : (($true = (breln1 @ sK722 @ X3)) & ((binunion @ (breln1compset @ sK722 @ sK721 @ X3) @ (breln1compset @ sK722 @ X2 @ X3)) != (breln1compset @ sK722 @ (binunion @ sK721 @ X2) @ X3)))) => (($true = (breln1 @ sK722 @ sK723)) & ? [X3] : (($true = (breln1 @ sK722 @ X3)) & ((breln1compset @ sK722 @ (binunion @ sK721 @ sK723) @ X3) != (binunion @ (breln1compset @ sK722 @ sK721 @ X3) @ (breln1compset @ sK722 @ sK723 @ X3)))))),
1.61/0.68	  introduced(choice_axiom,[])).
1.61/0.68	thf(f2473,plain,(
1.61/0.68	  ? [X3] : (($true = (breln1 @ sK722 @ X3)) & ((breln1compset @ sK722 @ (binunion @ sK721 @ sK723) @ X3) != (binunion @ (breln1compset @ sK722 @ sK721 @ X3) @ (breln1compset @ sK722 @ sK723 @ X3)))) => (($true = (breln1 @ sK722 @ sK724)) & ((breln1compset @ sK722 @ (binunion @ sK721 @ sK723) @ sK724) != (binunion @ (breln1compset @ sK722 @ sK721 @ sK724) @ (breln1compset @ sK722 @ sK723 @ sK724))))),
1.61/0.68	  introduced(choice_axiom,[])).
1.61/0.68	thf(f2470,plain,(
1.61/0.68	  ((woz2A = $true) | ? [X0,X1] : (($true = (breln1 @ X1 @ X0)) & ? [X2] : (($true = (breln1 @ X1 @ X2)) & ? [X3] : (($true = (breln1 @ X1 @ X3)) & ((binunion @ (breln1compset @ X1 @ X0 @ X3) @ (breln1compset @ X1 @ X2 @ X3)) != (breln1compset @ X1 @ (binunion @ X0 @ X2) @ X3)))))) & (! [X4,X5] : (($true != (breln1 @ X5 @ X4)) | ! [X6] : (((breln1 @ X5 @ X6) != $true) | ! [X7] : (($true != (breln1 @ X5 @ X7)) | ((binunion @ (breln1compset @ X5 @ X4 @ X7) @ (breln1compset @ X5 @ X6 @ X7)) = (breln1compset @ X5 @ (binunion @ X4 @ X6) @ X7))))) | (woz2A != $true))),
1.61/0.68	  inference(rectify,[],[f2469])).
1.61/0.68	thf(f2469,plain,(
1.61/0.68	  ((woz2A = $true) | ? [X0,X1] : (($true = (breln1 @ X1 @ X0)) & ? [X2] : (($true = (breln1 @ X1 @ X2)) & ? [X3] : (($true = (breln1 @ X1 @ X3)) & ((binunion @ (breln1compset @ X1 @ X0 @ X3) @ (breln1compset @ X1 @ X2 @ X3)) != (breln1compset @ X1 @ (binunion @ X0 @ X2) @ X3)))))) & (! [X0,X1] : (($true != (breln1 @ X1 @ X0)) | ! [X2] : (($true != (breln1 @ X1 @ X2)) | ! [X3] : (($true != (breln1 @ X1 @ X3)) | ((binunion @ (breln1compset @ X1 @ X0 @ X3) @ (breln1compset @ X1 @ X2 @ X3)) = (breln1compset @ X1 @ (binunion @ X0 @ X2) @ X3))))) | (woz2A != $true))),
1.61/0.68	  inference(nnf_transformation,[],[f1184])).
1.61/0.68	thf(f1184,plain,(
1.61/0.68	  (woz2A = $true) <=> ! [X0,X1] : (($true != (breln1 @ X1 @ X0)) | ! [X2] : (($true != (breln1 @ X1 @ X2)) | ! [X3] : (($true != (breln1 @ X1 @ X3)) | ((binunion @ (breln1compset @ X1 @ X0 @ X3) @ (breln1compset @ X1 @ X2 @ X3)) = (breln1compset @ X1 @ (binunion @ X0 @ X2) @ X3)))))),
1.61/0.68	  inference(ennf_transformation,[],[f505])).
1.61/0.68	thf(f505,plain,(
1.61/0.68	  (woz2A = $true) <=> ! [X0,X1] : (($true = (breln1 @ X1 @ X0)) => ! [X2] : (($true = (breln1 @ X1 @ X2)) => ! [X3] : (($true = (breln1 @ X1 @ X3)) => ((binunion @ (breln1compset @ X1 @ X0 @ X3) @ (breln1compset @ X1 @ X2 @ X3)) = (breln1compset @ X1 @ (binunion @ X0 @ X2) @ X3)))))),
1.61/0.68	  inference(fool_elimination,[],[f504])).
1.61/0.68	thf(f504,plain,(
1.61/0.68	  (woz2A = ! [X0,X1] : ((breln1 @ X1 @ X0) => ! [X2] : ((breln1 @ X1 @ X2) => ! [X3] : ((breln1 @ X1 @ X3) => ((binunion @ (breln1compset @ X1 @ X0 @ X3) @ (breln1compset @ X1 @ X2 @ X3)) = (breln1compset @ X1 @ (binunion @ X0 @ X2) @ X3))))))),
1.61/0.68	  inference(rectify,[],[f310])).
1.61/0.68	thf(f310,axiom,(
1.61/0.68	  (woz2A = ! [X13,X3] : ((breln1 @ X3 @ X13) => ! [X15] : ((breln1 @ X3 @ X15) => ! [X19] : ((breln1 @ X3 @ X19) => ((breln1compset @ X3 @ (binunion @ X13 @ X15) @ X19) = (binunion @ (breln1compset @ X3 @ X13 @ X19) @ (breln1compset @ X3 @ X15 @ X19)))))))),
1.61/0.68	  file('/export/starexec/sandbox/tmp/tmp.uWTnY9byVt/Vampire---4.8_32630',woz2A)).
1.61/0.68	thf(f4909,plain,(
1.61/0.68	  ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (binunion @ (breln1compset @ sK254 @ sK256 @ sK257) @ (breln1compset @ sK254 @ sK255 @ sK257))) | spl1040_3),
1.61/0.68	  inference(avatar_component_clause,[],[f4907])).
1.61/0.68	thf(f4907,plain,(
1.61/0.68	  spl1040_3 <=> ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) = (binunion @ (breln1compset @ sK254 @ sK256 @ sK257) @ (breln1compset @ sK254 @ sK255 @ sK257)))),
1.61/0.68	  introduced(avatar_definition,[new_symbols(naming,[spl1040_3])])).
1.61/0.68	thf(f4914,plain,(
1.61/0.68	  ~spl1040_3 | ~spl1040_4 | spl1040_1),
1.61/0.68	  inference(avatar_split_clause,[],[f4905,f4893,f4911,f4907])).
1.61/0.68	thf(f4893,plain,(
1.61/0.68	  spl1040_1 <=> ((binunion @ (breln1invset @ sK254 @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ sK256 @ sK257))) @ (breln1compset @ sK254 @ sK255 @ sK257)) = (breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257))),
1.61/0.68	  introduced(avatar_definition,[new_symbols(naming,[spl1040_1])])).
1.61/0.68	thf(f4905,plain,(
1.61/0.68	  ($true != (breln1 @ sK254 @ (breln1compset @ sK254 @ sK256 @ sK257))) | ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (binunion @ (breln1compset @ sK254 @ sK256 @ sK257) @ (breln1compset @ sK254 @ sK255 @ sK257))) | spl1040_1),
1.61/0.68	  inference(subsumption_resolution,[],[f4901,f3500])).
1.61/0.68	thf(f3500,plain,(
1.61/0.68	  (woz2Ex = $true)),
1.61/0.68	  inference(cnf_transformation,[],[f1757])).
1.61/0.68	thf(f4901,plain,(
1.61/0.68	  ($true != (breln1 @ sK254 @ (breln1compset @ sK254 @ sK256 @ sK257))) | ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (binunion @ (breln1compset @ sK254 @ sK256 @ sK257) @ (breln1compset @ sK254 @ sK255 @ sK257))) | (woz2Ex != $true) | spl1040_1),
1.61/0.68	  inference(superposition,[],[f4895,f4140])).
1.61/0.68	thf(f4140,plain,(
1.61/0.68	  ( ! [X2 : $i,X3 : $i] : (((breln1invset @ X3 @ (breln1invset @ X3 @ X2)) = X2) | (woz2Ex != $true) | ($true != (breln1 @ X3 @ X2))) )),
1.61/0.68	  inference(cnf_transformation,[],[f2356])).
1.61/0.68	thf(f2356,plain,(
1.61/0.68	  ((woz2Ex = $true) | (($true = (breln1 @ sK638 @ sK637)) & (sK637 != (breln1invset @ sK638 @ (breln1invset @ sK638 @ sK637))))) & (! [X2,X3] : (($true != (breln1 @ X3 @ X2)) | ((breln1invset @ X3 @ (breln1invset @ X3 @ X2)) = X2)) | (woz2Ex != $true))),
1.61/0.68	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK637,sK638])],[f2354,f2355])).
1.61/0.68	thf(f2355,plain,(
1.61/0.68	  ? [X0,X1] : (($true = (breln1 @ X1 @ X0)) & ((breln1invset @ X1 @ (breln1invset @ X1 @ X0)) != X0)) => (($true = (breln1 @ sK638 @ sK637)) & (sK637 != (breln1invset @ sK638 @ (breln1invset @ sK638 @ sK637))))),
1.61/0.68	  introduced(choice_axiom,[])).
1.61/0.68	thf(f2354,plain,(
1.61/0.68	  ((woz2Ex = $true) | ? [X0,X1] : (($true = (breln1 @ X1 @ X0)) & ((breln1invset @ X1 @ (breln1invset @ X1 @ X0)) != X0))) & (! [X2,X3] : (($true != (breln1 @ X3 @ X2)) | ((breln1invset @ X3 @ (breln1invset @ X3 @ X2)) = X2)) | (woz2Ex != $true))),
1.61/0.68	  inference(rectify,[],[f2353])).
1.61/0.68	thf(f2353,plain,(
1.61/0.68	  ((woz2Ex = $true) | ? [X0,X1] : (($true = (breln1 @ X1 @ X0)) & ((breln1invset @ X1 @ (breln1invset @ X1 @ X0)) != X0))) & (! [X0,X1] : (($true != (breln1 @ X1 @ X0)) | ((breln1invset @ X1 @ (breln1invset @ X1 @ X0)) = X0)) | (woz2Ex != $true))),
1.61/0.68	  inference(nnf_transformation,[],[f1293])).
1.61/0.68	thf(f1293,plain,(
1.61/0.68	  (woz2Ex = $true) <=> ! [X0,X1] : (($true != (breln1 @ X1 @ X0)) | ((breln1invset @ X1 @ (breln1invset @ X1 @ X0)) = X0))),
1.61/0.68	  inference(ennf_transformation,[],[f871])).
1.61/0.68	thf(f871,plain,(
1.61/0.68	  (woz2Ex = $true) <=> ! [X0,X1] : (($true = (breln1 @ X1 @ X0)) => ((breln1invset @ X1 @ (breln1invset @ X1 @ X0)) = X0))),
1.61/0.68	  inference(fool_elimination,[],[f870])).
1.61/0.68	thf(f870,plain,(
1.61/0.68	  (woz2Ex = ! [X0,X1] : ((breln1 @ X1 @ X0) => ((breln1invset @ X1 @ (breln1invset @ X1 @ X0)) = X0)))),
1.61/0.68	  inference(rectify,[],[f308])).
1.61/0.68	thf(f308,axiom,(
1.61/0.68	  (woz2Ex = ! [X13,X3] : ((breln1 @ X3 @ X13) => ((breln1invset @ X3 @ (breln1invset @ X3 @ X13)) = X13)))),
1.61/0.68	  file('/export/starexec/sandbox/tmp/tmp.uWTnY9byVt/Vampire---4.8_32630',woz2Ex)).
1.61/0.68	thf(f4895,plain,(
1.61/0.68	  ((binunion @ (breln1invset @ sK254 @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ sK256 @ sK257))) @ (breln1compset @ sK254 @ sK255 @ sK257)) != (breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257)) | spl1040_1),
1.61/0.68	  inference(avatar_component_clause,[],[f4893])).
1.61/0.68	thf(f4900,plain,(
1.61/0.68	  ~spl1040_1 | ~spl1040_2),
1.61/0.68	  inference(avatar_split_clause,[],[f4886,f4897,f4893])).
1.61/0.68	thf(f4886,plain,(
1.61/0.68	  ((binunion @ (breln1invset @ sK254 @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ sK256 @ sK257))) @ (breln1compset @ sK254 @ sK255 @ sK257)) != (breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257)) | ($true != (breln1 @ sK254 @ (breln1compset @ sK254 @ sK255 @ sK257)))),
1.61/0.68	  inference(subsumption_resolution,[],[f4882,f3500])).
1.61/0.68	thf(f4882,plain,(
1.61/0.68	  ($true != (breln1 @ sK254 @ (breln1compset @ sK254 @ sK255 @ sK257))) | (woz2Ex != $true) | ((binunion @ (breln1invset @ sK254 @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ sK256 @ sK257))) @ (breln1compset @ sK254 @ sK255 @ sK257)) != (breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257))),
1.61/0.68	  inference(superposition,[],[f4879,f4140])).
1.61/0.68	thf(f4879,plain,(
1.61/0.68	  ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (binunion @ (breln1invset @ sK254 @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ sK256 @ sK257))) @ (breln1invset @ sK254 @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ sK255 @ sK257)))))),
1.61/0.68	  inference(subsumption_resolution,[],[f4878,f3486])).
1.61/0.68	thf(f3486,plain,(
1.61/0.68	  (woz2W = $true)),
1.61/0.68	  inference(cnf_transformation,[],[f1757])).
1.61/0.68	thf(f4878,plain,(
1.61/0.68	  ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (binunion @ (breln1invset @ sK254 @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ sK256 @ sK257))) @ (breln1invset @ sK254 @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ sK255 @ sK257))))) | (woz2W != $true)),
1.61/0.68	  inference(subsumption_resolution,[],[f4877,f3329])).
1.61/0.68	thf(f4877,plain,(
1.61/0.68	  ($true != (breln1 @ sK254 @ sK257)) | ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (binunion @ (breln1invset @ sK254 @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ sK256 @ sK257))) @ (breln1invset @ sK254 @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ sK255 @ sK257))))) | (woz2W != $true)),
1.61/0.68	  inference(subsumption_resolution,[],[f4874,f3330])).
1.61/0.68	thf(f4874,plain,(
1.61/0.68	  ($true != (breln1 @ sK254 @ sK256)) | ($true != (breln1 @ sK254 @ sK257)) | (woz2W != $true) | ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (binunion @ (breln1invset @ sK254 @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ sK256 @ sK257))) @ (breln1invset @ sK254 @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ sK255 @ sK257)))))),
1.61/0.68	  inference(superposition,[],[f4868,f4448])).
1.61/0.68	thf(f4448,plain,(
1.61/0.68	  ( ! [X3 : $i,X4 : $i,X5 : $i] : (((breln1invset @ X3 @ (breln1compset @ X3 @ X4 @ X5)) = (breln1compset @ X3 @ (breln1invset @ X3 @ X5) @ (breln1invset @ X3 @ X4))) | (woz2W != $true) | ($true != (breln1 @ X3 @ X4)) | ($true != (breln1 @ X3 @ X5))) )),
1.61/0.68	  inference(cnf_transformation,[],[f2693])).
1.61/0.68	thf(f2693,plain,(
1.61/0.68	  ((woz2W = $true) | (((breln1 @ sK862 @ sK863) = $true) & (((breln1 @ sK862 @ sK864) = $true) & ((breln1invset @ sK862 @ (breln1compset @ sK862 @ sK863 @ sK864)) != (breln1compset @ sK862 @ (breln1invset @ sK862 @ sK864) @ (breln1invset @ sK862 @ sK863)))))) & (! [X3,X4] : (($true != (breln1 @ X3 @ X4)) | ! [X5] : (($true != (breln1 @ X3 @ X5)) | ((breln1invset @ X3 @ (breln1compset @ X3 @ X4 @ X5)) = (breln1compset @ X3 @ (breln1invset @ X3 @ X5) @ (breln1invset @ X3 @ X4))))) | (woz2W != $true))),
1.61/0.68	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK862,sK863,sK864])],[f2690,f2692,f2691])).
1.61/0.68	thf(f2691,plain,(
1.61/0.68	  ? [X0,X1] : (($true = (breln1 @ X0 @ X1)) & ? [X2] : (($true = (breln1 @ X0 @ X2)) & ((breln1compset @ X0 @ (breln1invset @ X0 @ X2) @ (breln1invset @ X0 @ X1)) != (breln1invset @ X0 @ (breln1compset @ X0 @ X1 @ X2))))) => (((breln1 @ sK862 @ sK863) = $true) & ? [X2] : (((breln1 @ sK862 @ X2) = $true) & ((breln1compset @ sK862 @ (breln1invset @ sK862 @ X2) @ (breln1invset @ sK862 @ sK863)) != (breln1invset @ sK862 @ (breln1compset @ sK862 @ sK863 @ X2)))))),
1.61/0.68	  introduced(choice_axiom,[])).
1.61/0.68	thf(f2692,plain,(
1.61/0.68	  ? [X2] : (((breln1 @ sK862 @ X2) = $true) & ((breln1compset @ sK862 @ (breln1invset @ sK862 @ X2) @ (breln1invset @ sK862 @ sK863)) != (breln1invset @ sK862 @ (breln1compset @ sK862 @ sK863 @ X2)))) => (((breln1 @ sK862 @ sK864) = $true) & ((breln1invset @ sK862 @ (breln1compset @ sK862 @ sK863 @ sK864)) != (breln1compset @ sK862 @ (breln1invset @ sK862 @ sK864) @ (breln1invset @ sK862 @ sK863))))),
1.61/0.68	  introduced(choice_axiom,[])).
1.61/0.68	thf(f2690,plain,(
1.61/0.68	  ((woz2W = $true) | ? [X0,X1] : (($true = (breln1 @ X0 @ X1)) & ? [X2] : (($true = (breln1 @ X0 @ X2)) & ((breln1compset @ X0 @ (breln1invset @ X0 @ X2) @ (breln1invset @ X0 @ X1)) != (breln1invset @ X0 @ (breln1compset @ X0 @ X1 @ X2)))))) & (! [X3,X4] : (($true != (breln1 @ X3 @ X4)) | ! [X5] : (($true != (breln1 @ X3 @ X5)) | ((breln1invset @ X3 @ (breln1compset @ X3 @ X4 @ X5)) = (breln1compset @ X3 @ (breln1invset @ X3 @ X5) @ (breln1invset @ X3 @ X4))))) | (woz2W != $true))),
1.61/0.68	  inference(rectify,[],[f2689])).
1.61/0.68	thf(f2689,plain,(
1.61/0.68	  ((woz2W = $true) | ? [X0,X1] : (($true = (breln1 @ X0 @ X1)) & ? [X2] : (($true = (breln1 @ X0 @ X2)) & ((breln1compset @ X0 @ (breln1invset @ X0 @ X2) @ (breln1invset @ X0 @ X1)) != (breln1invset @ X0 @ (breln1compset @ X0 @ X1 @ X2)))))) & (! [X0,X1] : (($true != (breln1 @ X0 @ X1)) | ! [X2] : (($true != (breln1 @ X0 @ X2)) | ((breln1compset @ X0 @ (breln1invset @ X0 @ X2) @ (breln1invset @ X0 @ X1)) = (breln1invset @ X0 @ (breln1compset @ X0 @ X1 @ X2))))) | (woz2W != $true))),
1.61/0.68	  inference(nnf_transformation,[],[f1264])).
1.61/0.68	thf(f1264,plain,(
1.61/0.68	  (woz2W = $true) <=> ! [X0,X1] : (($true != (breln1 @ X0 @ X1)) | ! [X2] : (($true != (breln1 @ X0 @ X2)) | ((breln1compset @ X0 @ (breln1invset @ X0 @ X2) @ (breln1invset @ X0 @ X1)) = (breln1invset @ X0 @ (breln1compset @ X0 @ X1 @ X2)))))),
1.61/0.68	  inference(ennf_transformation,[],[f567])).
1.61/0.68	thf(f567,plain,(
1.61/0.68	  ! [X0,X1] : (($true = (breln1 @ X0 @ X1)) => ! [X2] : (($true = (breln1 @ X0 @ X2)) => ((breln1compset @ X0 @ (breln1invset @ X0 @ X2) @ (breln1invset @ X0 @ X1)) = (breln1invset @ X0 @ (breln1compset @ X0 @ X1 @ X2))))) <=> (woz2W = $true)),
1.61/0.68	  inference(fool_elimination,[],[f566])).
1.61/0.68	thf(f566,plain,(
1.61/0.68	  (! [X0,X1] : ((breln1 @ X0 @ X1) => ! [X2] : ((breln1 @ X0 @ X2) => ((breln1compset @ X0 @ (breln1invset @ X0 @ X2) @ (breln1invset @ X0 @ X1)) = (breln1invset @ X0 @ (breln1compset @ X0 @ X1 @ X2))))) = woz2W)),
1.61/0.68	  inference(rectify,[],[f309])).
1.61/0.68	thf(f309,axiom,(
1.61/0.68	  (! [X3,X13] : ((breln1 @ X3 @ X13) => ! [X15] : ((breln1 @ X3 @ X15) => ((breln1invset @ X3 @ (breln1compset @ X3 @ X13 @ X15)) = (breln1compset @ X3 @ (breln1invset @ X3 @ X15) @ (breln1invset @ X3 @ X13))))) = woz2W)),
1.61/0.68	  file('/export/starexec/sandbox/tmp/tmp.uWTnY9byVt/Vampire---4.8_32630',woz2W)).
1.61/0.68	thf(f4868,plain,(
1.61/0.68	  ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (binunion @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ (breln1invset @ sK254 @ sK257) @ (breln1invset @ sK254 @ sK256))) @ (breln1invset @ sK254 @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ sK255 @ sK257)))))),
1.61/0.68	  inference(subsumption_resolution,[],[f4867,f3331])).
1.61/0.68	thf(f4867,plain,(
1.61/0.68	  ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (binunion @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ (breln1invset @ sK254 @ sK257) @ (breln1invset @ sK254 @ sK256))) @ (breln1invset @ sK254 @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ sK255 @ sK257))))) | ($true != (breln1 @ sK254 @ sK255))),
1.61/0.68	  inference(subsumption_resolution,[],[f4866,f3329])).
1.61/0.68	thf(f4866,plain,(
1.61/0.68	  ($true != (breln1 @ sK254 @ sK257)) | ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (binunion @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ (breln1invset @ sK254 @ sK257) @ (breln1invset @ sK254 @ sK256))) @ (breln1invset @ sK254 @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ sK255 @ sK257))))) | ($true != (breln1 @ sK254 @ sK255))),
1.61/0.68	  inference(subsumption_resolution,[],[f4862,f3486])).
1.61/0.68	thf(f4862,plain,(
1.61/0.68	  (woz2W != $true) | ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (binunion @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ (breln1invset @ sK254 @ sK257) @ (breln1invset @ sK254 @ sK256))) @ (breln1invset @ sK254 @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ sK255 @ sK257))))) | ($true != (breln1 @ sK254 @ sK255)) | ($true != (breln1 @ sK254 @ sK257))),
1.61/0.68	  inference(superposition,[],[f3328,f4448])).
1.61/0.68	thf(f3328,plain,(
1.61/0.68	  ((breln1compset @ sK254 @ (binunion @ sK255 @ sK256) @ sK257) != (binunion @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ (breln1invset @ sK254 @ sK257) @ (breln1invset @ sK254 @ sK256))) @ (breln1invset @ sK254 @ (breln1compset @ sK254 @ (breln1invset @ sK254 @ sK257) @ (breln1invset @ sK254 @ sK255)))))),
1.61/0.68	  inference(cnf_transformation,[],[f1757])).
1.61/0.68	% SZS output end Proof for Vampire---4
1.61/0.68	% (32745)------------------------------
1.61/0.68	% (32745)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.61/0.68	% (32745)Termination reason: Refutation
1.61/0.68	
1.61/0.68	% (32745)Memory used [KB]: 12025
1.61/0.68	% (32745)Time elapsed: 0.217 s
1.61/0.68	% (32745)Instructions burned: 474 (million)
1.61/0.68	% (32745)------------------------------
1.61/0.68	% (32745)------------------------------
1.61/0.68	% (32737)Success in time 0.251 s
1.61/0.68	% Vampire---4.8 exiting
1.61/0.68	EOF