0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command    : run_vampire %s %d
0.13/0.34	% Computer   : n026.cluster.edu
0.13/0.34	% Model      : x86_64 x86_64
0.13/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory     : 8042.1875MB
0.13/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 960
0.13/0.34	% WCLimit    : 120
0.13/0.34	% DateTime   : Thu Jul  2 08:01:39 EDT 2020
0.13/0.34	% CPUTime    : 
0.20/0.41	% (27659)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark
0.20/0.41	% (27653)lrs+1011_8_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark
0.20/0.42	% (27675)lrs+1011_5_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_130 on theBenchmark
0.20/0.42	% (27673)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark
0.20/0.42	% (27662)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_2 on theBenchmark
0.20/0.42	% (27663)dis+1002_6_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_2 on theBenchmark
0.20/0.42	% (27664)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark
0.20/0.42	% (27667)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence_300 on theBenchmark
0.20/0.42	% (27665)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on_1 on theBenchmark
0.20/0.43	% (27652)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark
0.20/0.43	% (27651)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark
0.20/0.44	% (27657)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_3 on theBenchmark
0.20/0.44	% (27656)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off_14 on theBenchmark
0.20/0.44	% (27655)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark
0.20/0.44	% (27654)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark
0.20/0.44	% (27668)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_30 on theBenchmark
0.20/0.44	% (27666)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark
0.20/0.44	% (27660)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark
0.20/0.45	% (27677)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off_300 on theBenchmark
0.20/0.45	% (27669)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_6 on theBenchmark
0.20/0.45	% (27658)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark
0.20/0.46	% (27678)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:foolp=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark
0.20/0.46	% (27679)dis+1002_4_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:tha=off_300 on theBenchmark
0.20/0.46	% (27680)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:foolp=on:cnfonf=eager:afq=1.0:fde=all:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_50 on theBenchmark
0.20/0.46	% (27661)dis+10_128_acc=on:add=off:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_40 on theBenchmark
0.20/0.46	% (27672)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_30 on theBenchmark
0.20/0.46	% (27670)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all_8 on theBenchmark
0.20/0.46	% (27671)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on_41 on theBenchmark
0.20/0.47	% (27676)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:foolp=on:chr=off:e2e=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark
0.20/0.47	% (27674)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark
5.51/1.10	% (27665)Time limit reached!
5.51/1.10	% (27665)------------------------------
5.51/1.10	% (27665)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
5.51/1.10	% (27665)Termination reason: Time limit
5.51/1.10	% (27665)Termination phase: Property scanning
5.51/1.10	
5.51/1.10	% (27665)Memory used [KB]: 3454
5.51/1.10	% (27665)Time elapsed: 0.400 s
5.51/1.10	% (27665)------------------------------
5.51/1.10	% (27665)------------------------------
6.04/1.15	% (27682)dis+1011_10_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_75 on theBenchmark
7.74/1.41	% (27657)Time limit reached!
7.74/1.41	% (27657)------------------------------
7.74/1.41	% (27657)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
7.74/1.41	% (27657)Termination reason: Time limit
7.74/1.41	% (27657)Termination phase: Saturation
7.74/1.41	
7.74/1.41	% (27657)Memory used [KB]: 12792
7.74/1.41	% (27657)Time elapsed: 0.600 s
7.74/1.41	% (27657)------------------------------
7.74/1.41	% (27657)------------------------------
8.33/1.45	% (27683)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:foolp=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark
8.59/1.49	% (27651)Time limit reached!
8.59/1.49	% (27651)------------------------------
8.59/1.49	% (27651)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
8.59/1.49	% (27651)Termination reason: Time limit
8.59/1.49	% (27651)Termination phase: Property scanning
8.59/1.49	
8.59/1.49	% (27651)Memory used [KB]: 3709
8.59/1.49	% (27651)Time elapsed: 0.500 s
8.59/1.49	% (27651)------------------------------
8.59/1.49	% (27651)------------------------------
8.97/1.53	% (27684)lrs+1011_8_add=large:csup=on:inj=on:prag=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_26 on theBenchmark
11.61/1.90	% (27676)Time limit reached!
11.61/1.90	% (27676)------------------------------
11.61/1.90	% (27676)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
11.61/1.90	% (27676)Termination reason: Time limit
11.61/1.90	% (27676)Termination phase: Saturation
11.61/1.90	
11.61/1.90	% (27676)Memory used [KB]: 15607
11.61/1.90	% (27676)Time elapsed: 1.500 s
11.61/1.90	% (27676)------------------------------
11.61/1.90	% (27676)------------------------------
12.22/1.94	% (27652)Time limit reached!
12.22/1.94	% (27652)------------------------------
12.22/1.94	% (27652)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
12.22/1.94	% (27652)Termination reason: Time limit
12.22/1.94	% (27652)Termination phase: Saturation
12.22/1.94	
12.22/1.94	% (27652)Memory used [KB]: 13432
12.22/1.94	% (27652)Time elapsed: 0.500 s
12.22/1.94	% (27652)------------------------------
12.22/1.94	% (27652)------------------------------
12.22/1.95	% (27685)lrs+1011_8_add=large:csup=on:fe=off:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_30 on theBenchmark
12.65/1.99	% (27686)dis+1002_4_add=large:csup=on:narr=off:inj=on:prag=on:cbe=off:foolp=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity_27 on theBenchmark
13.74/2.13	% (27660)Time limit reached!
13.74/2.13	% (27660)------------------------------
13.74/2.13	% (27660)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
13.74/2.13	% (27660)Termination reason: Time limit
13.74/2.13	% (27660)Termination phase: Saturation
13.74/2.13	
13.74/2.13	% (27660)Memory used [KB]: 14200
13.74/2.13	% (27660)Time elapsed: 0.600 s
13.74/2.13	% (27660)------------------------------
13.74/2.13	% (27660)------------------------------
14.02/2.16	% (27662)Time limit reached!
14.02/2.16	% (27662)------------------------------
14.02/2.16	% (27662)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
14.02/2.17	% (27663)Time limit reached!
14.02/2.17	% (27663)------------------------------
14.02/2.17	% (27663)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
14.02/2.17	% (27663)Termination reason: Time limit
14.02/2.17	% (27663)Termination phase: Saturation
14.02/2.17	
14.02/2.17	% (27663)Memory used [KB]: 9850
14.02/2.17	% (27663)Time elapsed: 0.500 s
14.02/2.17	% (27663)------------------------------
14.02/2.17	% (27663)------------------------------
14.02/2.17	% (27654)Time limit reached!
14.02/2.17	% (27654)------------------------------
14.02/2.17	% (27654)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
14.02/2.17	% (27662)Termination reason: Time limit
14.02/2.17	% (27662)Termination phase: Saturation
14.02/2.17	
14.02/2.17	% (27662)Memory used [KB]: 14328
14.02/2.17	% (27662)Time elapsed: 0.500 s
14.02/2.17	% (27662)------------------------------
14.02/2.17	% (27662)------------------------------
14.02/2.17	% (27687)dis+1_3_add=large:afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sos=all:sac=on:uwa=all:updr=off:uhcvi=on_125 on theBenchmark
14.02/2.17	% (27654)Termination reason: Time limit
14.02/2.17	% (27654)Termination phase: Saturation
14.02/2.17	
14.02/2.17	% (27654)Memory used [KB]: 24562
14.02/2.17	% (27654)Time elapsed: 0.500 s
14.02/2.17	% (27654)------------------------------
14.02/2.17	% (27654)------------------------------
14.02/2.21	% (27690)lrs+1002_1_add=large:csup=on:narr=off:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark
14.02/2.22	% (27688)dis+1010_3:1_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:nm=32:nwc=1:sos=all:urr=ec_only:updr=off_77 on theBenchmark
14.02/2.22	% (27689)lrs+1011_5:4_acc=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:add=large:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off_126 on theBenchmark
15.07/2.30	% (27670)Time limit reached!
15.07/2.30	% (27670)------------------------------
15.07/2.30	% (27670)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
15.07/2.32	% (27670)Termination reason: Time limit
15.07/2.32	
15.07/2.32	% (27670)Memory used [KB]: 12025
15.07/2.32	% (27670)Time elapsed: 1.909 s
15.07/2.32	% (27670)------------------------------
15.07/2.32	% (27670)------------------------------
15.66/2.37	% (27655)Time limit reached!
15.66/2.37	% (27655)------------------------------
15.66/2.37	% (27655)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
15.66/2.37	% (27740)lrs-3_4:1_afp=1000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=sco:fde=none:gs=on:lcm=reverse:lma=on:nwc=1.5:stl=30:sd=1:ss=axioms:sp=reverse_arity:urr=on:updr=off:uhcvi=on_11 on theBenchmark
15.66/2.38	% (27664)Time limit reached!
15.66/2.38	% (27664)------------------------------
15.66/2.38	% (27664)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
15.66/2.38	% (27666)Time limit reached!
15.66/2.38	% (27666)------------------------------
15.66/2.38	% (27666)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
15.66/2.38	% (27655)Termination reason: Time limit
15.66/2.38	
15.66/2.38	% (27655)Memory used [KB]: 12665
15.66/2.38	% (27655)Time elapsed: 1.988 s
15.66/2.38	% (27655)------------------------------
15.66/2.38	% (27655)------------------------------
15.66/2.38	% (27664)Termination reason: Time limit
15.66/2.38	
15.66/2.38	% (27664)Memory used [KB]: 12920
15.66/2.38	% (27664)Time elapsed: 1.988 s
15.66/2.38	% (27664)------------------------------
15.66/2.38	% (27664)------------------------------
15.66/2.38	% (27666)Termination reason: Time limit
15.66/2.38	
15.66/2.38	% (27666)Memory used [KB]: 17398
15.66/2.38	% (27666)Time elapsed: 1.971 s
15.66/2.38	% (27666)------------------------------
15.66/2.38	% (27666)------------------------------
15.66/2.39	% (27656)Time limit reached!
15.66/2.39	% (27656)------------------------------
15.66/2.39	% (27656)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
15.66/2.39	% (27669)Time limit reached!
15.66/2.39	% (27669)------------------------------
15.66/2.39	% (27669)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
15.66/2.39	% (27656)Termination reason: Time limit
15.66/2.39	
15.66/2.39	% (27656)Memory used [KB]: 17142
15.66/2.39	% (27656)Time elapsed: 1.999 s
15.66/2.39	% (27656)------------------------------
15.66/2.39	% (27656)------------------------------
15.66/2.40	% (27669)Termination reason: Time limit
15.66/2.40	
15.66/2.40	% (27669)Memory used [KB]: 12792
15.66/2.40	% (27669)Time elapsed: 2.001 s
15.66/2.40	% (27669)------------------------------
15.66/2.40	% (27669)------------------------------
15.96/2.41	% (27773)lrs+1011_8_add=large:csup=off:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_13 on theBenchmark
15.96/2.42	% (27771)ott+11_2:1_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:br=off:cond=on:irw=on:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:urr=on:updr=off_9 on theBenchmark
15.96/2.43	% (27781)dis+1011_4_av=off:cond=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark
15.96/2.43	% (27775)lrs+1011_2:1_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lwlo=on:nm=16:newcnf=on:nwc=2:sd=4:ss=axioms:st=3.0:sp=occurrence_300 on theBenchmark
15.96/2.44	% (27791)lrs+10_3:1_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=on:er=known:gs=on:lcm=reverse:nm=32:nwc=4:stl=30:sp=occurrence:urr=on:updr=off_73 on theBenchmark
16.17/2.45	% (27653)Time limit reached!
16.17/2.45	% (27653)------------------------------
16.17/2.45	% (27653)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
16.17/2.45	% (27653)Termination reason: Time limit
16.17/2.45	% (27653)Termination phase: Saturation
16.17/2.45	
16.17/2.45	% (27653)Memory used [KB]: 17398
16.17/2.45	% (27653)Time elapsed: 0.600 s
16.17/2.45	% (27653)------------------------------
16.17/2.45	% (27653)------------------------------
16.17/2.49	% (27823)dis+10_1_add=off:afp=4000:csup=on:inj=on:chr=on:e2e=on:foolp=on:cnfonf=eager:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on_12 on theBenchmark
16.63/2.53	% (27673)Time limit reached!
16.63/2.53	% (27673)------------------------------
16.63/2.53	% (27673)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
16.63/2.53	% (27673)Termination reason: Time limit
16.63/2.53	
16.63/2.53	% (27673)Memory used [KB]: 13944
16.63/2.53	% (27673)Time elapsed: 2.125 s
16.63/2.53	% (27673)------------------------------
16.63/2.53	% (27673)------------------------------
16.63/2.57	% (27856)lrs+4_3_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:bs=unit_only:cond=fast:fde=unused:gsp=input_only:gs=on:gsem=on:lma=on:lwlo=on:nm=6:nwc=1:stl=60:sp=occurrence:uhcvi=on_481 on theBenchmark
24.62/3.50	% (27659)Time limit reached!
24.62/3.50	% (27659)------------------------------
24.62/3.50	% (27659)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
24.62/3.52	% (27659)Termination reason: Time limit
24.62/3.52	% (27659)Termination phase: Saturation
24.62/3.52	
24.62/3.52	% (27659)Memory used [KB]: 11769
24.62/3.52	% (27659)Time elapsed: 3.100 s
24.62/3.52	% (27659)------------------------------
24.62/3.52	% (27659)------------------------------
25.24/3.56	% (27937)lrs+1002_1_av=off:fde=unused:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:lwlo=on:nm=16:nwc=4:sp=occurrence_300 on theBenchmark
25.24/3.61	% (27672)Time limit reached!
25.24/3.61	% (27672)------------------------------
25.24/3.61	% (27672)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
25.24/3.61	% (27672)Termination reason: Time limit
25.24/3.61	% (27672)Termination phase: Saturation
25.24/3.61	
25.24/3.61	% (27672)Memory used [KB]: 75094
25.24/3.61	% (27672)Time elapsed: 3.200 s
25.24/3.61	% (27672)------------------------------
25.24/3.61	% (27672)------------------------------
25.71/3.63	% (27668)Time limit reached!
25.71/3.63	% (27668)------------------------------
25.71/3.63	% (27668)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
25.71/3.63	% (27668)Termination reason: Time limit
25.71/3.63	
25.71/3.63	% (27668)Memory used [KB]: 46822
25.71/3.63	% (27668)Time elapsed: 3.240 s
25.71/3.63	% (27668)------------------------------
25.71/3.63	% (27668)------------------------------
26.05/3.67	% (27938)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_not_gen_be_off:bet=on:sup=off:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_70 on theBenchmark
26.05/3.70	% (27939)lrs-11_4:1_afp=4000:csup=on:inj=on:bet=on:foolp=on:cnfonf=lazy_not_gen_be_off:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_45 on theBenchmark
26.86/3.79	% (27658)Time limit reached!
26.86/3.79	% (27658)------------------------------
26.86/3.79	% (27658)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
26.86/3.80	% (27658)Termination reason: Time limit
26.86/3.80	
26.86/3.80	% (27658)Memory used [KB]: 13176
26.86/3.80	% (27658)Time elapsed: 3.412 s
26.86/3.80	% (27658)------------------------------
26.86/3.80	% (27658)------------------------------
26.86/3.82	% (27940)lrs+1011_8_add=large:csup=on:e2e=on:prag=on:mXXn=1:cnfonf=lazy_simp:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_19 on theBenchmark
27.67/3.87	% (27823)Time limit reached!
27.67/3.87	% (27823)------------------------------
27.67/3.87	% (27823)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
27.67/3.87	% (27823)Termination reason: Time limit
27.67/3.87	
27.67/3.87	% (27823)Memory used [KB]: 22643
27.67/3.87	% (27823)Time elapsed: 1.406 s
27.67/3.87	% (27823)------------------------------
27.67/3.87	% (27823)------------------------------
27.67/3.90	% (27941)dis+1011_4_av=off:cond=on:piset=false_true_not:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark
28.45/3.99	% (27677)Refutation found. Thanks to Tanya!
28.45/3.99	% SZS status Theorem for theBenchmark
28.45/3.99	% SZS output start Proof for theBenchmark
28.45/3.99	tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType').
28.45/3.99	tff(func_def_4, type, in: '$i' -> '$i' -> '$o').
28.45/3.99	tff(func_def_5, type, exu: ('$i' -> '$o') -> '$o').
28.45/3.99	tff(func_def_6, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
28.45/3.99	tff(func_def_10, type, setadjoin: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_12, type, powerset: '$i' -> '$i').
28.45/3.99	tff(func_def_14, type, setunion: '$i' -> '$i').
28.45/3.99	tff(func_def_23, type, descr: ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_25, type, dsetconstr: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_30, type, prop2set: '$o' -> '$i').
28.45/3.99	tff(func_def_40, type, nonempty: '$i' -> '$o').
28.45/3.99	tff(func_def_73, type, set2prop: '$i' -> '$o').
28.45/3.99	tff(func_def_92, type, subset: '$i' -> '$i' -> '$o').
28.45/3.99	tff(func_def_93, type, disjoint: '$i' -> '$i' -> '$o').
28.45/3.99	tff(func_def_94, type, setsmeet: '$i' -> '$i' -> '$o').
28.45/3.99	tff(func_def_118, type, binunion: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_126, type, binintersect: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_139, type, regular: '$i' -> '$o').
28.45/3.99	tff(func_def_140, type, setminus: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_151, type, symdiff: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_157, type, iskpair: '$i' -> '$o').
28.45/3.99	tff(func_def_162, type, kpair: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_164, type, cartprod: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_181, type, singleton: '$i' -> '$o').
28.45/3.99	tff(func_def_183, type, ex1: '$i' -> ('$i' -> '$o') -> '$o').
28.45/3.99	tff(func_def_188, type, atmost1p: '$i' -> '$o').
28.45/3.99	tff(func_def_189, type, atleast2p: '$i' -> '$o').
28.45/3.99	tff(func_def_190, type, atmost2p: '$i' -> '$o').
28.45/3.99	tff(func_def_191, type, upairsetp: '$i' -> '$o').
28.45/3.99	tff(func_def_195, type, kfst: '$i' -> '$i').
28.45/3.99	tff(func_def_207, type, ksnd: '$i' -> '$i').
28.45/3.99	tff(func_def_217, type, breln: '$i' -> '$i' -> '$i' -> '$o').
28.45/3.99	tff(func_def_218, type, dpsetconstr: '$i' -> '$i' -> ('$i' -> '$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_226, type, func: '$i' -> '$i' -> '$i' -> '$o').
28.45/3.99	tff(func_def_227, type, funcSet: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_230, type, ap: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_236, type, lam: '$i' -> '$i' -> ('$i' -> '$i') -> '$i').
28.45/3.99	tff(func_def_263, type, if: '$i' -> '$o' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_327, type, breln1: '$i' -> '$i' -> '$o').
28.45/3.99	tff(func_def_328, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
28.45/3.99	tff(func_def_331, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
28.45/3.99	tff(func_def_332, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
28.45/3.99	tff(func_def_333, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
28.45/3.99	tff(func_def_334, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
28.45/3.99	tff(func_def_335, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
28.45/3.99	tff(func_def_336, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
28.45/3.99	tff(func_def_337, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
28.45/3.99	tff(func_def_338, type, vIMP: '$o' -> '$o' -> '$o').
28.45/3.99	tff(func_def_339, type, vAND: '$o' -> '$o' -> '$o').
28.45/3.99	tff(func_def_340, type, vNOT: '$o' -> '$o').
28.45/3.99	tff(func_def_341, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
28.45/3.99	tff(func_def_342, type, vIFF: '$o' -> '$o' -> '$o').
28.45/3.99	tff(func_def_343, type, vOR: '$o' -> '$o' -> '$o').
28.45/3.99	tff(func_def_346, type, sK2: '$i' -> '$o').
28.45/3.99	tff(func_def_349, type, sK5: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_350, type, sK6: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_351, type, sK7: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_352, type, sK8: '$i' -> '$i').
28.45/3.99	tff(func_def_353, type, sK9: ('$i' -> '$i' -> '$o') -> '$i' -> '$i').
28.45/3.99	tff(func_def_354, type, sK10: ('$i' -> '$i' -> '$o') -> '$i' -> '$i').
28.45/3.99	tff(func_def_355, type, sK11: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i').
28.45/3.99	tff(func_def_356, type, sK12: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i').
28.45/3.99	tff(func_def_357, type, sK13: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i').
28.45/3.99	tff(func_def_358, type, sK14: '$i' -> '$i').
28.45/3.99	tff(func_def_359, type, sK15: '$i' -> '$i').
28.45/3.99	tff(func_def_360, type, sK16: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_361, type, sK17: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_362, type, sK18: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_363, type, sK19: '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_364, type, sK20: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_365, type, sK21: ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_366, type, sK22: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_367, type, sK23: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_368, type, sK24: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_369, type, sK25: '$i' -> '$i').
28.45/3.99	tff(func_def_370, type, sK26: '$i' -> '$i').
28.45/3.99	tff(func_def_371, type, sK27: '$i' -> '$i').
28.45/3.99	tff(func_def_372, type, sK28: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_373, type, sK29: '$o' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_374, type, sK30: ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_375, type, sK31: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_376, type, sK32: '$i' -> '$i').
28.45/3.99	tff(func_def_377, type, sK33: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_378, type, sK34: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_379, type, sK35: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_380, type, sK36: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_381, type, sK37: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_382, type, sK38: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_383, type, sK39: ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_384, type, sK40: ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_385, type, sK41: ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_386, type, sK42: ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_387, type, sK43: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_388, type, sK44: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_389, type, sK45: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_390, type, sK46: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_391, type, sK47: ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_392, type, sK48: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_393, type, sK49: ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_394, type, sK50: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_395, type, sK51: ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_396, type, sK52: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_397, type, sK53: ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_398, type, sK54: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_399, type, sK55: ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_400, type, sK56: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_401, type, sK57: ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_402, type, sK58: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_403, type, sK59: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_404, type, sK60: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_405, type, sK61: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_406, type, sK62: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_407, type, sK63: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_408, type, sK64: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_409, type, sK65: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_410, type, sK66: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_411, type, sK67: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_412, type, sK68: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_413, type, sK69: '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_414, type, sK70: '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_415, type, sK71: '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_416, type, sK72: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_417, type, sK73: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_418, type, sK74: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_419, type, sK75: '$i' -> ('$i' -> '$o') -> '$i' -> '$i').
28.45/3.99	tff(func_def_420, type, sK76: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_421, type, sK77: '$i' -> ('$i' -> '$o') -> '$i').
28.45/3.99	tff(func_def_422, type, sK78: '$i' -> '$i' -> ('$i' -> '$i') -> '$i').
28.45/3.99	tff(func_def_423, type, sK79: '$i' -> '$i' -> ('$i' -> '$i') -> '$i').
28.45/3.99	tff(func_def_424, type, sK80: '$i' -> '$i' -> ('$i' -> '$i') -> '$i').
28.45/3.99	tff(func_def_425, type, sK81: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_426, type, sK82: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_427, type, sK83: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_428, type, sK84: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_429, type, sK85: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_430, type, sK86: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_431, type, sK87: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_432, type, sK88: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_433, type, sK89: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_434, type, sK90: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_435, type, sK91: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_436, type, sK92: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_437, type, sK93: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_438, type, sK94: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_439, type, sK95: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_440, type, sK96: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_441, type, sK97: '$i' -> '$i' -> ('$i' -> '$i') -> '$i').
28.45/3.99	tff(func_def_442, type, sK98: '$i' -> '$i' -> ('$i' -> '$i') -> '$i').
28.45/3.99	tff(func_def_443, type, sK99: '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_444, type, sK100: '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_445, type, sK101: '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_446, type, sK102: '$i' -> '$i' -> '$i' -> '$i').
28.45/3.99	tff(func_def_451, type, sK107: '$o' -> '$i').
28.45/3.99	tff(func_def_457, type, sK113: '$o' -> '$i').
28.45/3.99	tff(func_def_459, type, sK115: '$o' -> '$i').
28.45/3.99	tff(f85,axiom,(
28.45/3.99	  (notsubsetI = ! [X3,X4,X1] : (in @ X1 @ X3 => (~in @ X1 @ X4 => ~subset @ X3 @ X4)))),
28.45/3.99	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',notsubsetI)).
28.45/3.99	tff(f166,axiom,(
28.45/3.99	  (cartprodfstin = ! [X3,X4,X10] : (in @ X10 @ (cartprod @ X3 @ X4) => in @ (kfst @ X10) @ X3))),
28.45/3.99	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartprodfstin)).
28.45/3.99	tff(f178,axiom,(
28.45/3.99	  (cartprodsndin = ! [X3,X4,X10] : (in @ X10 @ (cartprod @ X3 @ X4) => in @ (ksnd @ X10) @ X4))),
28.45/3.99	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartprodsndin)).
28.45/3.99	tff(f184,axiom,(
28.45/3.99	  (cartprodpairsurjEq = ! [X3,X4,X10] : (in @ X10 @ (cartprod @ X3 @ X4) => kpair @ (kfst @ X10) @ (ksnd @ X10) = X10))),
28.45/3.99	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartprodpairsurjEq)).
28.45/3.99	tff(f185,axiom,(
28.45/3.99	  breln = (^[X3 : '$i', X4 : '$i', X5 : '$i'] : subset @ X5 @ (cartprod @ X3 @ X4))),
28.45/3.99	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',breln)).
28.45/3.99	tff(f289,axiom,(
28.45/3.99	  breln1 = (^[X3 : '$i', X13 : '$i'] : breln @ X3 @ X3 @ X13)),
28.45/3.99	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',breln1)).
28.45/4.00	tff(f290,conjecture,(
28.45/4.00	  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 => ! [X3,X13] : (breln1 @ X3 @ X13 => ! [X0 : '$i' -> '$o'] : (! [X1] : (in @ X1 @ X3 => ! [X2] : (in @ X2 @ X3 => (in @ (kpair @ X1 @ X2) @ X13 => X0 @ (kpair @ X1 @ X2)))) => ! [X1] : (in @ X1 @ X13 => X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
28.45/4.00	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',breln1all2)).
28.45/4.00	tff(f291,negated_conjecture,(
28.45/4.00	  ~(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 => ! [X3,X13] : (breln1 @ X3 @ X13 => ! [X0 : '$i' -> '$o'] : (! [X1] : (in @ X1 @ X3 => ! [X2] : (in @ X2 @ X3 => (in @ (kpair @ X1 @ X2) @ X13 => X0 @ (kpair @ X1 @ X2)))) => ! [X1] : (in @ X1 @ X13 => X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
28.45/4.00	  inference(negated_conjecture,[],[f290])).
28.45/4.00	tff(f292,plain,(
28.45/4.00	  ~(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 => ! [X0,X1] : (breln1 @ X0 @ X1 => ! [X2 : '$i' -> '$o'] : (! [X3] : (in @ X3 @ X0 => ! [X4] : (in @ X4 @ X0 => (in @ (kpair @ X3 @ X4) @ X1 => X2 @ (kpair @ X3 @ X4)))) => ! [X5] : (in @ X5 @ X1 => X2 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
28.45/4.00	  inference(rectify,[],[f291])).
28.45/4.00	tff(f293,plain,(
28.45/4.00	  ~((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) => ! [X0,X1] : ((breln1 @ X0 @ X1 = $true) => ! [X2 : '$i' -> '$o'] : (! [X3] : ((in @ X3 @ X0 = $true) => ! [X4] : ((in @ X4 @ X0 = $true) => ((in @ (kpair @ X3 @ X4) @ X1 = $true) => (X2 @ (kpair @ X3 @ X4) = $true)))) => ! [X5] : ((in @ X5 @ X1 = $true) => (X2 @ X5 = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
28.45/4.00	  inference(fool_elimination,[],[f292])).
28.45/4.00	tff(f294,plain,(
28.45/4.00	  breln1 = (^[X0 : '$i', X1 : '$i'] : breln @ X0 @ X0 @ X1)),
28.45/4.00	  inference(rectify,[],[f289])).
28.45/4.00	tff(f295,plain,(
28.45/4.00	  sCOMB @ breln @ iCOMB = breln1),
28.45/4.00	  inference(fool_elimination,[],[f294])).
28.45/4.00	tff(f680,plain,(
28.45/4.00	  (notsubsetI = ! [X0,X1,X2] : (in @ X2 @ X0 => (~in @ X2 @ X1 => ~subset @ X0 @ X1)))),
28.45/4.00	  inference(rectify,[],[f85])).
28.45/4.00	tff(f681,plain,(
28.45/4.00	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vNOT) @ in)))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ subset)))))) = notsubsetI)),
28.45/4.00	  inference(fool_elimination,[],[f680])).
28.45/4.00	tff(f778,plain,(
28.45/4.00	  (cartprodpairsurjEq = ! [X0,X1,X2] : (in @ X2 @ (cartprod @ X0 @ X1) => kpair @ (kfst @ X2) @ (ksnd @ X2) = X2))),
28.45/4.00	  inference(rectify,[],[f184])).
28.45/4.00	tff(f779,plain,(
28.45/4.00	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (sCOMB @ (bCOMB @ vEQ('$i') @ (sCOMB @ (bCOMB @ kpair @ kfst) @ ksnd)) @ iCOMB)))) = cartprodpairsurjEq)),
28.45/4.00	  inference(fool_elimination,[],[f778])).
28.45/4.00	tff(f796,plain,(
28.45/4.00	  (cartprodsndin = ! [X0,X1,X2] : (in @ X2 @ (cartprod @ X0 @ X1) => in @ (ksnd @ X2) @ X1))),
28.45/4.00	  inference(rectify,[],[f178])).
28.45/4.00	tff(f797,plain,(
28.45/4.00	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (bCOMB @ in @ ksnd)))) = cartprodsndin)),
28.45/4.00	  inference(fool_elimination,[],[f796])).
28.45/4.00	tff(f798,plain,(
28.45/4.00	  (cartprodfstin = ! [X0,X1,X2] : (in @ X2 @ (cartprod @ X0 @ X1) => in @ (kfst @ X2) @ X0))),
28.45/4.00	  inference(rectify,[],[f166])).
28.45/4.00	tff(f799,plain,(
28.45/4.00	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (bCOMB @ in @ kfst)))) = cartprodfstin)),
28.45/4.00	  inference(fool_elimination,[],[f798])).
28.45/4.00	tff(f862,plain,(
28.45/4.00	  breln = (^[X0 : '$i', X1 : '$i', X2 : '$i'] : subset @ X2 @ (cartprod @ X0 @ X1))),
28.45/4.00	  inference(rectify,[],[f185])).
28.45/4.00	tff(f863,plain,(
28.45/4.00	  bCOMB @ (bCOMB @ (cCOMB @ subset)) @ cartprod = breln),
28.45/4.00	  inference(fool_elimination,[],[f862])).
28.45/4.00	tff(f866,plain,(
28.45/4.00	  (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2 : '$i' -> '$o'] : (? [X5] : ((X2 @ X5 != $true) & (in @ X5 @ X1 = $true)) & ! [X3] : (! [X4] : (((X2 @ (kpair @ X3 @ X4) = $true) | (in @ (kpair @ X3 @ X4) @ X1 != $true)) | (in @ X4 @ X0 != $true)) | (in @ X3 @ X0 != $true))) & (breln1 @ X0 @ X1 = $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 = $true)),
28.45/4.00	  inference(ennf_transformation,[],[f293])).
28.45/4.00	tff(f867,plain,(
28.45/4.00	  ? [X0,X1] : (? [X2 : '$i' -> '$o'] : (? [X5] : ((X2 @ X5 != $true) & (in @ X5 @ X1 = $true)) & ! [X3] : (! [X4] : ((X2 @ (kpair @ X3 @ X4) = $true) | (in @ (kpair @ X3 @ X4) @ X1 != $true) | (in @ X4 @ X0 != $true)) | (in @ X3 @ X0 != $true))) & (breln1 @ X0 @ X1 = $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 = $true)),
28.45/4.00	  inference(flattening,[],[f866])).
28.45/4.00	tff(f868,plain,(
28.45/4.00	  ? [X0,X1] : (? [X2 : '$i' -> '$o'] : (? [X3] : ((X2 @ X3 != $true) & (in @ X3 @ X1 = $true)) & ! [X4] : (! [X5] : ((X2 @ (kpair @ X4 @ X5) = $true) | (in @ (kpair @ X4 @ X5) @ X1 != $true) | (in @ X5 @ X0 != $true)) | (in @ X4 @ X0 != $true))) & (breln1 @ X0 @ X1 = $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 = $true)),
28.45/4.00	  inference(rectify,[],[f867])).
28.45/4.00	tff(f869,plain,(
28.45/4.00	  ? [X0,X1] : (? [X2 : '$i' -> '$o'] : (? [X3] : ((X2 @ X3 != $true) & (in @ X3 @ X1 = $true)) & ! [X4] : (! [X5] : ((X2 @ (kpair @ X4 @ X5) = $true) | (in @ (kpair @ X4 @ X5) @ X1 != $true) | (in @ X5 @ X0 != $true)) | (in @ X4 @ X0 != $true))) & (breln1 @ X0 @ X1 = $true)) => (? [X2 : '$i' -> '$o'] : (? [X3] : ((X2 @ X3 != $true) & (in @ X3 @ sK1 = $true)) & ! [X4] : (! [X5] : ((X2 @ (kpair @ X4 @ X5) = $true) | (in @ (kpair @ X4 @ X5) @ sK1 != $true) | (in @ X5 @ sK0 != $true)) | (in @ X4 @ sK0 != $true))) & (breln1 @ sK0 @ sK1 = $true))),
28.45/4.00	  introduced(choice_axiom,[])).
28.45/4.00	tff(f870,plain,(
28.45/4.00	  ? [X2 : '$i' -> '$o'] : (? [X3] : ((X2 @ X3 != $true) & (in @ X3 @ sK1 = $true)) & ! [X4] : (! [X5] : ((X2 @ (kpair @ X4 @ X5) = $true) | (in @ (kpair @ X4 @ X5) @ sK1 != $true) | (in @ X5 @ sK0 != $true)) | (in @ X4 @ sK0 != $true))) => (? [X3] : ((sK2 @ X3 != $true) & (in @ X3 @ sK1 = $true)) & ! [X4] : (! [X5] : ((sK2 @ (kpair @ X4 @ X5) = $true) | (in @ (kpair @ X4 @ X5) @ sK1 != $true) | (in @ X5 @ sK0 != $true)) | (in @ X4 @ sK0 != $true)))),
28.45/4.00	  introduced(choice_axiom,[])).
28.45/4.00	tff(f871,plain,(
28.45/4.00	  ? [X3] : ((sK2 @ X3 != $true) & (in @ X3 @ sK1 = $true)) => ((sK2 @ sK3 != $true) & (in @ sK3 @ sK1 = $true))),
28.45/4.00	  introduced(choice_axiom,[])).
28.45/4.00	tff(f872,plain,(
28.45/4.00	  ((((sK2 @ sK3 != $true) & (in @ sK3 @ sK1 = $true)) & ! [X4] : (! [X5] : ((sK2 @ (kpair @ X4 @ X5) = $true) | (in @ (kpair @ X4 @ X5) @ sK1 != $true) | (in @ X5 @ sK0 != $true)) | (in @ X4 @ sK0 != $true))) & (breln1 @ sK0 @ sK1 = $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)),
28.45/4.00	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f868,f871,f870,f869])).
28.45/4.00	tff(f955,plain,(
28.45/4.00	  (notsubsetI = $true)),
28.45/4.00	  inference(cnf_transformation,[],[f872])).
28.45/4.00	tff(f1035,plain,(
28.45/4.00	  (cartprodfstin = $true)),
28.45/4.00	  inference(cnf_transformation,[],[f872])).
28.45/4.00	tff(f1047,plain,(
28.45/4.00	  (cartprodsndin = $true)),
28.45/4.00	  inference(cnf_transformation,[],[f872])).
28.45/4.00	tff(f1053,plain,(
28.45/4.00	  (cartprodpairsurjEq = $true)),
28.45/4.00	  inference(cnf_transformation,[],[f872])).
28.45/4.00	tff(f1157,plain,(
28.45/4.00	  (breln1 @ sK0 @ sK1 = $true)),
28.45/4.00	  inference(cnf_transformation,[],[f872])).
28.45/4.00	tff(f1158,plain,(
28.45/4.00	  ( ! [X4,X5] : ((in @ (kpair @ X4 @ X5) @ sK1 != $true) | (sK2 @ (kpair @ X4 @ X5) = $true) | (in @ X5 @ sK0 != $true) | (in @ X4 @ sK0 != $true)) )),
28.45/4.00	  inference(cnf_transformation,[],[f872])).
28.45/4.00	tff(f1159,plain,(
28.45/4.00	  (in @ sK3 @ sK1 = $true)),
28.45/4.00	  inference(cnf_transformation,[],[f872])).
28.45/4.00	tff(f1160,plain,(
28.45/4.00	  (sK2 @ sK3 != $true)),
28.45/4.00	  inference(cnf_transformation,[],[f872])).
28.45/4.00	tff(f1161,plain,(
28.45/4.00	  sCOMB @ breln @ iCOMB = breln1),
28.45/4.00	  inference(cnf_transformation,[],[f295])).
28.45/4.00	tff(f1265,plain,(
28.45/4.00	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (sCOMB @ (bCOMB @ vEQ('$i') @ (sCOMB @ (bCOMB @ kpair @ kfst) @ ksnd)) @ iCOMB)))) = cartprodpairsurjEq)),
28.45/4.00	  inference(cnf_transformation,[],[f779])).
28.45/4.00	tff(f1271,plain,(
28.45/4.00	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (bCOMB @ in @ ksnd)))) = cartprodsndin)),
28.45/4.00	  inference(cnf_transformation,[],[f797])).
28.45/4.00	tff(f1283,plain,(
28.45/4.00	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (bCOMB @ in @ kfst)))) = cartprodfstin)),
28.45/4.00	  inference(cnf_transformation,[],[f799])).
28.45/4.00	tff(f1363,plain,(
28.45/4.00	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vNOT) @ in)))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ subset)))))) = notsubsetI)),
28.45/4.00	  inference(cnf_transformation,[],[f681])).
28.45/4.00	tff(f1446,plain,(
28.45/4.00	  bCOMB @ (bCOMB @ (cCOMB @ subset)) @ cartprod = breln),
28.45/4.00	  inference(cnf_transformation,[],[f863])).
28.45/4.00	tff(f1450,plain,(
28.45/4.00	  sCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ subset)) @ cartprod) @ iCOMB = breln1),
28.45/4.00	  inference(definition_unfolding,[],[f1161,f1446])).
28.45/4.00	tff(f1451,plain,(
28.45/4.00	  (sCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ subset)) @ cartprod) @ iCOMB @ sK0 @ sK1 = $true)),
28.45/4.00	  inference(definition_unfolding,[],[f1157,f1450])).
28.45/4.00	tff(f1555,plain,(
28.45/4.00	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (sCOMB @ (bCOMB @ vEQ('$i') @ (sCOMB @ (bCOMB @ kpair @ kfst) @ ksnd)) @ iCOMB)))) = $true)),
28.45/4.00	  inference(definition_unfolding,[],[f1265,f1053])).
28.45/4.00	tff(f1561,plain,(
28.45/4.00	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (bCOMB @ in @ ksnd)))) = $true)),
28.45/4.00	  inference(definition_unfolding,[],[f1271,f1047])).
28.45/4.00	tff(f1573,plain,(
28.45/4.00	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (bCOMB @ in @ kfst)))) = $true)),
28.45/4.00	  inference(definition_unfolding,[],[f1283,f1035])).
28.45/4.00	tff(f1653,plain,(
28.45/4.00	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vNOT) @ in)))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ subset)))))) = $true)),
28.45/4.00	  inference(definition_unfolding,[],[f1363,f955])).
28.45/4.00	tff(f2742,plain,(
28.45/4.00	  ( ! [X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vNOT) @ in)))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ subset))))) @ X1 = $true)) )),
28.45/4.00	  inference(pi_clausification,[],[f1653])).
28.45/4.00	tff(f2743,plain,(
28.45/4.00	  ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ (bCOMB @ vNOT @ (in @ X1)))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ subset))))) = $true)) )),
28.45/4.00	  inference(combinator_demodulation,[],[f2742])).
28.45/4.00	tff(f2744,plain,(
28.45/4.00	  ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ (bCOMB @ vNOT @ (in @ X1)))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ subset)))) @ X2 = $true)) )),
28.45/4.00	  inference(pi_clausification,[],[f2743])).
28.45/4.00	tff(f2745,plain,(
28.45/4.00	  ( ! [X2,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1)) @ (bCOMB @ (vIMP @ (vNOT @ (in @ X1 @ X2))) @ (bCOMB @ vNOT @ (cCOMB @ subset @ X2)))) = $true)) )),
28.45/4.00	  inference(combinator_demodulation,[],[f2744])).
28.45/4.00	tff(f2746,plain,(
28.45/4.00	  ( ! [X2,X3,X1] : ((sCOMB @ (bCOMB @ vIMP @ (in @ X1)) @ (bCOMB @ (vIMP @ (vNOT @ (in @ X1 @ X2))) @ (bCOMB @ vNOT @ (cCOMB @ subset @ X2))) @ X3 = $true)) )),
28.45/4.00	  inference(pi_clausification,[],[f2745])).
28.45/4.00	tff(f2747,plain,(
28.45/4.00	  ( ! [X2,X3,X1] : ((vIMP @ (in @ X1 @ X3) @ (vIMP @ (vNOT @ (in @ X1 @ X2)) @ (vNOT @ (subset @ X3 @ X2))) = $true)) )),
28.45/4.00	  inference(combinator_demodulation,[],[f2746])).
28.45/4.00	tff(f2748,plain,(
28.45/4.00	  ( ! [X2,X3,X1] : ((in @ X1 @ X3 = $false) | (vIMP @ (vNOT @ (in @ X1 @ X2)) @ (vNOT @ (subset @ X3 @ X2)) = $true)) )),
28.45/4.00	  inference(binary_proxy_clausification,[],[f2747])).
28.45/4.00	tff(f2749,plain,(
28.45/4.00	  ( ! [X2,X3,X1] : ((in @ X1 @ X3 = $false) | (vNOT @ (in @ X1 @ X2) = $false) | (vNOT @ (subset @ X3 @ X2) = $true)) )),
28.45/4.00	  inference(binary_proxy_clausification,[],[f2748])).
28.45/4.00	tff(f2750,plain,(
28.45/4.00	  ( ! [X2,X3,X1] : ((in @ X1 @ X3 = $false) | (vNOT @ (in @ X1 @ X2) = $false) | (subset @ X3 @ X2 = $false)) )),
28.45/4.00	  inference(not_proxy_clausification,[],[f2749])).
28.45/4.00	tff(f2751,plain,(
28.45/4.00	  ( ! [X2,X3,X1] : ((in @ X1 @ X3 = $false) | (in @ X1 @ X2 = $true) | (subset @ X3 @ X2 = $false)) )),
28.45/4.00	  inference(not_proxy_clausification,[],[f2750])).
28.45/4.02	tff(f3355,plain,(
28.45/4.02	  ( ! [X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (bCOMB @ in @ kfst))) @ X1 = $true)) )),
28.45/4.02	  inference(pi_clausification,[],[f1573])).
28.45/4.02	tff(f3356,plain,(
28.45/4.02	  ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ cartprod)))) @ (in @ (kfst @ X1)))) = $true)) )),
28.45/4.02	  inference(combinator_demodulation,[],[f3355])).
28.45/4.02	tff(f3357,plain,(
28.45/4.02	  ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ cartprod)))) @ (in @ (kfst @ X1))) @ X2 = $true)) )),
28.45/4.02	  inference(pi_clausification,[],[f3356])).
28.45/4.02	tff(f3358,plain,(
28.45/4.02	  ( ! [X2,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ cartprod @ X2))) @ (in @ (kfst @ X1))) = $true)) )),
28.45/4.02	  inference(combinator_demodulation,[],[f3357])).
28.45/4.02	tff(f3359,plain,(
28.45/4.02	  ( ! [X2,X3,X1] : ((sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ cartprod @ X2))) @ (in @ (kfst @ X1)) @ X3 = $true)) )),
28.45/4.02	  inference(pi_clausification,[],[f3358])).
28.45/4.02	tff(f3360,plain,(
28.45/4.02	  ( ! [X2,X3,X1] : ((vIMP @ (in @ X1 @ (cartprod @ X3 @ X2)) @ (in @ (kfst @ X1) @ X3) = $true)) )),
28.45/4.02	  inference(combinator_demodulation,[],[f3359])).
28.45/4.02	tff(f3361,plain,(
28.45/4.02	  ( ! [X2,X3,X1] : ((in @ X1 @ (cartprod @ X3 @ X2) = $false) | (in @ (kfst @ X1) @ X3 = $true)) )),
28.45/4.02	  inference(binary_proxy_clausification,[],[f3360])).
28.45/4.02	tff(f3454,plain,(
28.45/4.02	  ( ! [X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (bCOMB @ in @ ksnd))) @ X1 = $true)) )),
28.45/4.02	  inference(pi_clausification,[],[f1561])).
28.45/4.03	tff(f3455,plain,(
28.45/4.03	  ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ cartprod)))) @ (in @ (ksnd @ X1)))) = $true)) )),
28.45/4.03	  inference(combinator_demodulation,[],[f3454])).
28.45/4.03	tff(f3456,plain,(
28.45/4.03	  ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ cartprod)))) @ (in @ (ksnd @ X1))) @ X2 = $true)) )),
28.45/4.03	  inference(pi_clausification,[],[f3455])).
28.45/4.03	tff(f3457,plain,(
28.45/4.03	  ( ! [X2,X1] : ((vPI('$i') @ (cCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ cartprod @ X2))) @ (in @ (ksnd @ X1) @ X2)) = $true)) )),
28.45/4.03	  inference(combinator_demodulation,[],[f3456])).
28.45/4.03	tff(f3458,plain,(
28.45/4.03	  ( ! [X2,X3,X1] : ((cCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ cartprod @ X2))) @ (in @ (ksnd @ X1) @ X2) @ X3 = $true)) )),
28.45/4.03	  inference(pi_clausification,[],[f3457])).
28.45/4.03	tff(f3459,plain,(
28.45/4.03	  ( ! [X2,X3,X1] : ((vIMP @ (in @ X1 @ (cartprod @ X3 @ X2)) @ (in @ (ksnd @ X1) @ X2) = $true)) )),
28.45/4.03	  inference(combinator_demodulation,[],[f3458])).
28.45/4.03	tff(f3460,plain,(
28.45/4.03	  ( ! [X2,X3,X1] : ((in @ X1 @ (cartprod @ X3 @ X2) = $false) | (in @ (ksnd @ X1) @ X2 = $true)) )),
28.45/4.03	  inference(binary_proxy_clausification,[],[f3459])).
28.45/4.03	tff(f3512,plain,(
28.45/4.03	  ( ! [X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (sCOMB @ (bCOMB @ vEQ('$i') @ (sCOMB @ (bCOMB @ kpair @ kfst) @ ksnd)) @ iCOMB))) @ X1 = $true)) )),
28.45/4.03	  inference(pi_clausification,[],[f1555])).
28.45/4.03	tff(f3513,plain,(
28.45/4.03	  ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ cartprod)))) @ (vEQ('$i') @ (kpair @ (kfst @ X1) @ (ksnd @ X1)) @ X1))) = $true)) )),
28.45/4.03	  inference(combinator_demodulation,[],[f3512])).
28.45/4.03	tff(f3514,plain,(
28.45/4.03	  ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ cartprod)))) @ (vEQ('$i') @ (kpair @ (kfst @ X1) @ (ksnd @ X1)) @ X1)) @ X2 = $true)) )),
28.45/4.03	  inference(pi_clausification,[],[f3513])).
28.45/4.03	tff(f3515,plain,(
28.45/4.03	  ( ! [X2,X1] : ((vPI('$i') @ (cCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ cartprod @ X2))) @ (vEQ('$i') @ (kpair @ (kfst @ X1) @ (ksnd @ X1)) @ X1)) = $true)) )),
28.45/4.03	  inference(combinator_demodulation,[],[f3514])).
28.45/4.03	tff(f3516,plain,(
28.45/4.03	  ( ! [X2,X3,X1] : ((cCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ cartprod @ X2))) @ (vEQ('$i') @ (kpair @ (kfst @ X1) @ (ksnd @ X1)) @ X1) @ X3 = $true)) )),
28.45/4.03	  inference(pi_clausification,[],[f3515])).
28.45/4.03	tff(f3517,plain,(
28.45/4.03	  ( ! [X2,X3,X1] : ((vIMP @ (in @ X1 @ (cartprod @ X3 @ X2)) @ (vEQ('$i') @ (kpair @ (kfst @ X1) @ (ksnd @ X1)) @ X1) = $true)) )),
28.45/4.03	  inference(combinator_demodulation,[],[f3516])).
28.45/4.03	tff(f3518,plain,(
28.45/4.03	  ( ! [X2,X3,X1] : ((in @ X1 @ (cartprod @ X3 @ X2) = $false) | (vEQ('$i') @ (kpair @ (kfst @ X1) @ (ksnd @ X1)) @ X1 = $true)) )),
28.45/4.03	  inference(binary_proxy_clausification,[],[f3517])).
28.45/4.03	tff(f3519,plain,(
28.45/4.03	  ( ! [X2,X3,X1] : ((in @ X1 @ (cartprod @ X3 @ X2) = $false) | kpair @ (kfst @ X1) @ (ksnd @ X1) = X1) )),
28.45/4.03	  inference(equality_proxy_clausification,[],[f3518])).
28.45/4.03	tff(f4777,plain,(
28.45/4.03	  (subset @ sK1 @ (cartprod @ sK0 @ sK0) = $true)),
28.45/4.03	  inference(combinator_demodulation,[],[f1451])).
28.45/4.03	tff(f8295,plain,(
28.45/4.03	  ( ! [X92] : (($false = $true) | (in @ sK3 @ X92 = $true) | (subset @ sK1 @ X92 = $false)) )),
28.45/4.03	  inference(superposition,[],[f2751,f1159])).
28.45/4.03	tff(f8496,plain,(
28.45/4.03	  ( ! [X92] : ((subset @ sK1 @ X92 = $false) | (in @ sK3 @ X92 = $true)) )),
28.45/4.03	  inference(trivial_inequality_removal,[],[f8295])).
28.45/4.03	tff(f14732,plain,(
28.45/4.03	  ($false = $true) | (in @ sK3 @ (cartprod @ sK0 @ sK0) = $true)),
28.45/4.03	  inference(superposition,[],[f4777,f8496])).
28.45/4.03	tff(f14760,plain,(
28.45/4.03	  (in @ sK3 @ (cartprod @ sK0 @ sK0) = $true)),
28.45/4.03	  inference(trivial_inequality_removal,[],[f14732])).
28.45/4.03	tff(f17916,plain,(
28.45/4.03	  ($false = $true) | kpair @ (kfst @ sK3) @ (ksnd @ sK3) = sK3),
28.45/4.03	  inference(superposition,[],[f14760,f3519])).
28.45/4.03	tff(f17917,plain,(
28.45/4.03	  ($false = $true) | (in @ (ksnd @ sK3) @ sK0 = $true)),
28.45/4.03	  inference(superposition,[],[f14760,f3460])).
28.45/4.03	tff(f17918,plain,(
28.45/4.03	  ($false = $true) | (in @ (kfst @ sK3) @ sK0 = $true)),
28.45/4.03	  inference(superposition,[],[f14760,f3361])).
28.45/4.03	tff(f17989,plain,(
28.45/4.03	  (in @ (kfst @ sK3) @ sK0 = $true)),
28.45/4.03	  inference(trivial_inequality_removal,[],[f17918])).
28.45/4.03	tff(f17990,plain,(
28.45/4.03	  (in @ (ksnd @ sK3) @ sK0 = $true)),
28.45/4.03	  inference(trivial_inequality_removal,[],[f17917])).
28.45/4.03	tff(f17991,plain,(
28.45/4.03	  kpair @ (kfst @ sK3) @ (ksnd @ sK3) = sK3),
28.45/4.03	  inference(trivial_inequality_removal,[],[f17916])).
28.45/4.03	tff(f18429,plain,(
28.45/4.03	  (in @ sK3 @ sK1 != $true) | (sK2 @ (kpair @ (kfst @ sK3) @ (ksnd @ sK3)) = $true) | (in @ (ksnd @ sK3) @ sK0 != $true) | (in @ (kfst @ sK3) @ sK0 != $true)),
28.45/4.03	  inference(superposition,[],[f1158,f17991])).
28.45/4.03	tff(f18444,plain,(
28.45/4.03	  (sK2 @ (kpair @ (kfst @ sK3) @ (ksnd @ sK3)) = $true) | (in @ (ksnd @ sK3) @ sK0 != $true) | (in @ (kfst @ sK3) @ sK0 != $true)),
28.45/4.03	  inference(subsumption_resolution,[],[f18429,f1159])).
28.45/4.03	tff(f18445,plain,(
28.45/4.03	  (sK2 @ (kpair @ (kfst @ sK3) @ (ksnd @ sK3)) = $true) | (in @ (kfst @ sK3) @ sK0 != $true)),
28.45/4.03	  inference(subsumption_resolution,[],[f18444,f17990])).
28.45/4.03	tff(f18446,plain,(
28.45/4.03	  (sK2 @ (kpair @ (kfst @ sK3) @ (ksnd @ sK3)) = $true)),
28.45/4.03	  inference(subsumption_resolution,[],[f18445,f17989])).
28.45/4.03	tff(f18447,plain,(
28.45/4.03	  (sK2 @ sK3 = $true)),
28.45/4.03	  inference(forward_demodulation,[],[f18446,f17991])).
28.45/4.03	tff(f18448,plain,(
28.45/4.03	  $false),
28.45/4.03	  inference(subsumption_resolution,[],[f18447,f1160])).
28.45/4.03	% SZS output end Proof for theBenchmark
28.45/4.03	% (27677)------------------------------
28.45/4.03	% (27677)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
28.45/4.03	% (27677)Termination reason: Refutation
28.45/4.03	
28.45/4.03	% (27677)Memory used [KB]: 22899
28.45/4.03	% (27677)Time elapsed: 3.617 s
28.45/4.03	% (27677)------------------------------
28.45/4.03	% (27677)------------------------------
28.97/4.03	% (27650)Success in time 3.673 s
28.97/4.04	EOF