0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : run_vampire %s %d
0.13/0.34	% Computer   : n005.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 08:57:36 EDT 2020
0.13/0.34	% CPUTime    : 
0.21/0.40	% (6735)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
0.21/0.40	% (6737)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
0.21/0.40	% (6757)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
0.21/0.41	% (6745)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
0.21/0.41	% (6746)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
0.21/0.41	% (6748)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
0.21/0.41	% (6749)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
0.21/0.41	% (6736)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
0.21/0.42	% (6747)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
0.21/0.42	% (6741)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
0.21/0.43	% (6740)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
0.21/0.43	% (6739)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
0.21/0.43	% (6738)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
0.21/0.43	% (6763)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
0.21/0.43	% (6755)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
0.21/0.43	% (6758)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
0.21/0.43	% (6760)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
0.21/0.43	% (6751)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
0.21/0.43	% (6752)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
0.21/0.44	% (6743)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
0.21/0.44	% (6750)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
0.21/0.44	% (6742)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
0.21/0.44	% (6764)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
0.21/0.44	% (6762)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
0.21/0.44	% (6761)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
0.21/0.44	% (6744)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
0.21/0.45	% (6756)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
0.21/0.45	% (6753)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
0.21/0.45	% (6754)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
0.21/0.45	% (6759)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
4.44/1.01	% (6738)Time limit reached!
4.44/1.01	% (6738)------------------------------
4.44/1.01	% (6738)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.44/1.01	% (6738)Termination reason: Time limit
4.44/1.01	
4.44/1.01	% (6738)Memory used [KB]: 18038
4.44/1.01	% (6738)Time elapsed: 0.626 s
4.44/1.01	% (6738)------------------------------
4.44/1.01	% (6738)------------------------------
5.15/1.05	% (6765)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
5.72/1.09	% (6736)Time limit reached!
5.72/1.09	% (6736)------------------------------
5.72/1.09	% (6736)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
5.72/1.09	% (6736)Termination reason: Time limit
5.72/1.09	
5.72/1.09	% (6736)Memory used [KB]: 12920
5.72/1.09	% (6736)Time elapsed: 0.710 s
5.72/1.09	% (6736)------------------------------
5.72/1.09	% (6736)------------------------------
5.72/1.11	% (6746)Time limit reached!
5.72/1.11	% (6746)------------------------------
5.72/1.11	% (6746)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
5.72/1.11	% (6746)Termination reason: Time limit
5.72/1.11	
5.72/1.11	% (6746)Memory used [KB]: 12409
5.72/1.11	% (6746)Time elapsed: 0.733 s
5.72/1.11	% (6746)------------------------------
5.72/1.11	% (6746)------------------------------
5.72/1.11	% (6735)Time limit reached!
5.72/1.11	% (6735)------------------------------
5.72/1.11	% (6735)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
5.72/1.11	% (6735)Termination reason: Time limit
5.72/1.11	
5.72/1.11	% (6735)Memory used [KB]: 3837
5.72/1.11	% (6735)Time elapsed: 0.734 s
5.72/1.11	% (6735)------------------------------
5.72/1.11	% (6735)------------------------------
5.72/1.12	% (6744)Time limit reached!
5.72/1.12	% (6744)------------------------------
5.72/1.12	% (6744)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
5.72/1.12	% (6744)Termination reason: Time limit
5.72/1.12	
5.72/1.12	% (6744)Memory used [KB]: 12409
5.72/1.12	% (6744)Time elapsed: 0.745 s
5.72/1.12	% (6744)------------------------------
5.72/1.12	% (6744)------------------------------
5.72/1.12	% (6766)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
5.72/1.12	% (6747)Time limit reached!
5.72/1.12	% (6747)------------------------------
5.72/1.12	% (6747)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
5.72/1.12	% (6747)Termination reason: Time limit
5.72/1.12	
5.72/1.12	% (6747)Memory used [KB]: 7675
5.72/1.12	% (6747)Time elapsed: 0.740 s
5.72/1.12	% (6747)------------------------------
5.72/1.12	% (6747)------------------------------
5.72/1.13	% (6749)Time limit reached!
5.72/1.13	% (6749)------------------------------
5.72/1.13	% (6749)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
5.72/1.13	% (6749)Termination reason: Time limit
5.72/1.13	
5.72/1.13	% (6749)Memory used [KB]: 8571
5.72/1.13	% (6749)Time elapsed: 0.743 s
5.72/1.13	% (6749)------------------------------
5.72/1.13	% (6749)------------------------------
5.72/1.15	% (6768)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
5.72/1.15	% (6767)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
5.72/1.17	% (6769)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
5.72/1.17	% (6770)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
5.72/1.17	% (6771)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
5.72/1.18	% (6737)Time limit reached!
5.72/1.18	% (6737)------------------------------
5.72/1.18	% (6737)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
6.53/1.19	% (6737)Termination reason: Time limit
6.53/1.19	
6.53/1.19	% (6737)Memory used [KB]: 13176
6.53/1.19	% (6737)Time elapsed: 0.796 s
6.53/1.19	% (6737)------------------------------
6.53/1.19	% (6737)------------------------------
6.76/1.23	% (6772)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
7.39/1.35	% (6753)Time limit reached!
7.39/1.35	% (6753)------------------------------
7.39/1.35	% (6753)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
7.39/1.35	% (6753)Termination reason: Time limit
7.39/1.35	
7.39/1.35	% (6753)Memory used [KB]: 9466
7.39/1.35	% (6753)Time elapsed: 0.966 s
7.39/1.35	% (6753)------------------------------
7.39/1.35	% (6753)------------------------------
7.98/1.39	% (6750)Time limit reached!
7.98/1.39	% (6750)------------------------------
7.98/1.39	% (6750)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
7.98/1.39	% (6750)Termination reason: Time limit
7.98/1.39	
7.98/1.39	% (6750)Memory used [KB]: 15095
7.98/1.39	% (6750)Time elapsed: 1.016 s
7.98/1.39	% (6750)------------------------------
7.98/1.39	% (6750)------------------------------
7.98/1.41	% (6773)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
7.98/1.44	% (6774)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
8.67/1.48	% (6748)Time limit reached!
8.67/1.48	% (6748)------------------------------
8.67/1.48	% (6748)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
8.67/1.48	% (6754)Time limit reached!
8.67/1.48	% (6754)------------------------------
8.67/1.48	% (6754)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
8.67/1.48	% (6754)Termination reason: Time limit
8.67/1.48	% (6754)Termination phase: Saturation
8.67/1.48	
8.67/1.48	% (6754)Memory used [KB]: 11513
8.67/1.48	% (6754)Time elapsed: 1.100 s
8.67/1.48	% (6754)------------------------------
8.67/1.48	% (6754)------------------------------
8.81/1.50	% (6748)Termination reason: Time limit
8.81/1.50	% (6748)Termination phase: Saturation
8.81/1.50	
8.81/1.50	% (6748)Memory used [KB]: 10746
8.81/1.50	% (6748)Time elapsed: 1.100 s
8.81/1.50	% (6748)------------------------------
8.81/1.50	% (6748)------------------------------
8.81/1.51	% (6757)Time limit reached!
8.81/1.51	% (6757)------------------------------
8.81/1.51	% (6757)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
9.04/1.53	% (6776)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
9.04/1.53	% (6757)Termination reason: Time limit
9.04/1.53	% (6757)Termination phase: Saturation
9.04/1.53	
9.04/1.53	% (6757)Memory used [KB]: 8059
9.04/1.53	% (6757)Time elapsed: 1.100 s
9.04/1.53	% (6757)------------------------------
9.04/1.53	% (6757)------------------------------
9.04/1.55	% (6777)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
9.04/1.58	% (6778)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
11.35/1.80	% (6741)Time limit reached!
11.35/1.80	% (6741)------------------------------
11.35/1.80	% (6741)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
11.35/1.80	% (6741)Termination reason: Time limit
11.35/1.80	% (6741)Termination phase: Saturation
11.35/1.80	
11.35/1.80	% (6741)Memory used [KB]: 23922
11.35/1.80	% (6741)Time elapsed: 0.600 s
11.35/1.80	% (6741)------------------------------
11.35/1.80	% (6741)------------------------------
11.47/1.85	% (6779)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
12.26/1.92	% (6739)Time limit reached!
12.26/1.92	% (6739)------------------------------
12.26/1.92	% (6739)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
12.26/1.92	% (6739)Termination reason: Time limit
12.26/1.92	% (6739)Termination phase: Saturation
12.26/1.92	
12.26/1.92	% (6739)Memory used [KB]: 11641
12.26/1.92	% (6739)Time elapsed: 1.500 s
12.26/1.92	% (6739)------------------------------
12.26/1.92	% (6739)------------------------------
12.26/1.97	% (6780)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
12.26/1.99	% (6760)Time limit reached!
12.26/1.99	% (6760)------------------------------
12.26/1.99	% (6760)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
12.26/1.99	% (6760)Termination reason: Time limit
12.26/1.99	
12.26/1.99	% (6760)Memory used [KB]: 17270
12.26/1.99	% (6760)Time elapsed: 1.589 s
12.26/1.99	% (6760)------------------------------
12.26/1.99	% (6760)------------------------------
12.90/2.02	% (6740)Time limit reached!
12.90/2.02	% (6740)------------------------------
12.90/2.02	% (6740)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
12.90/2.02	% (6740)Termination reason: Time limit
12.90/2.02	% (6740)Termination phase: Saturation
12.90/2.02	
12.90/2.02	% (6740)Memory used [KB]: 17014
12.90/2.02	% (6740)Time elapsed: 1.600 s
12.90/2.02	% (6740)------------------------------
12.90/2.02	% (6740)------------------------------
12.90/2.03	% (6781)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
12.90/2.06	% (6782)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
14.41/2.26	% (6742)Refutation found. Thanks to Tanya!
14.41/2.26	% SZS status Theorem for theBenchmark
14.41/2.26	% SZS output start Proof for theBenchmark
14.41/2.26	tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType').
14.41/2.26	tff(func_def_4, type, in: '$i' -> '$i' -> '$o').
14.41/2.26	tff(func_def_5, type, exu: ('$i' -> '$o') -> '$o').
14.41/2.26	tff(func_def_6, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
14.41/2.26	tff(func_def_10, type, setadjoin: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_12, type, powerset: '$i' -> '$i').
14.41/2.26	tff(func_def_14, type, setunion: '$i' -> '$i').
14.41/2.26	tff(func_def_23, type, descr: ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_25, type, dsetconstr: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_30, type, prop2set: '$o' -> '$i').
14.41/2.26	tff(func_def_40, type, nonempty: '$i' -> '$o').
14.41/2.26	tff(func_def_73, type, set2prop: '$i' -> '$o').
14.41/2.26	tff(func_def_92, type, subset: '$i' -> '$i' -> '$o').
14.41/2.26	tff(func_def_93, type, disjoint: '$i' -> '$i' -> '$o').
14.41/2.26	tff(func_def_94, type, setsmeet: '$i' -> '$i' -> '$o').
14.41/2.26	tff(func_def_118, type, binunion: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_126, type, binintersect: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_139, type, regular: '$i' -> '$o').
14.41/2.26	tff(func_def_140, type, setminus: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_151, type, symdiff: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_157, type, iskpair: '$i' -> '$o').
14.41/2.26	tff(func_def_162, type, kpair: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_164, type, cartprod: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_175, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
14.41/2.26	tff(func_def_178, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
14.41/2.26	tff(func_def_179, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
14.41/2.26	tff(func_def_180, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
14.41/2.26	tff(func_def_181, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
14.41/2.26	tff(func_def_182, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
14.41/2.26	tff(func_def_183, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
14.41/2.26	tff(func_def_184, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
14.41/2.26	tff(func_def_185, type, vIMP: '$o' -> '$o' -> '$o').
14.41/2.26	tff(func_def_186, type, vAND: '$o' -> '$o' -> '$o').
14.41/2.26	tff(func_def_187, type, vNOT: '$o' -> '$o').
14.41/2.26	tff(func_def_188, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
14.41/2.26	tff(func_def_189, type, vIFF: '$o' -> '$o' -> '$o').
14.41/2.26	tff(func_def_190, type, vOR: '$o' -> '$o' -> '$o').
14.41/2.26	tff(func_def_194, type, sK3: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_195, type, sK4: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_196, type, sK5: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_197, type, sK6: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_198, type, sK7: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_199, type, sK8: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_200, type, sK9: '$o' -> '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_201, type, sK10: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_202, type, sK11: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_203, type, sK12: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_204, type, sK13: ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_205, type, sK14: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_206, type, sK15: ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_207, type, sK16: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_208, type, sK17: ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_209, type, sK18: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_210, type, sK19: ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_211, type, sK20: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_212, type, sK21: ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_213, type, sK22: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_214, type, sK23: ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_215, type, sK24: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_216, type, sK25: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_217, type, sK26: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_218, type, sK27: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_219, type, sK28: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_220, type, sK29: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_221, type, sK30: ('$i' -> '$i' -> '$o') -> '$i' -> '$i').
14.41/2.26	tff(func_def_222, type, sK31: ('$i' -> '$i' -> '$o') -> '$i' -> '$i').
14.41/2.26	tff(func_def_223, type, sK32: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i').
14.41/2.26	tff(func_def_224, type, sK33: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i').
14.41/2.26	tff(func_def_225, type, sK34: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i').
14.41/2.26	tff(func_def_226, type, sK35: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_227, type, sK36: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_228, type, sK37: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_229, type, sK38: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_230, type, sK39: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_231, type, sK40: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_232, type, sK41: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_233, type, sK42: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_234, type, sK43: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_235, type, sK44: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_236, type, sK45: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_237, type, sK46: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_238, type, sK47: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_239, type, sK48: '$i' -> '$i').
14.41/2.26	tff(func_def_240, type, sK49: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_241, type, sK50: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_242, type, sK51: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_243, type, sK52: '$i' -> '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_244, type, sK53: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_245, type, sK54: ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_246, type, sK55: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_247, type, sK56: ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_248, type, sK57: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_249, type, sK58: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_250, type, sK59: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_251, type, sK60: '$i' -> '$i').
14.41/2.26	tff(func_def_252, type, sK61: '$i' -> '$i').
14.41/2.26	tff(func_def_253, type, sK62: '$i' -> '$i').
14.41/2.26	tff(func_def_254, type, sK63: ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_255, type, sK64: ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_256, type, sK65: ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_257, type, sK66: ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_258, type, sK67: '$i' -> ('$i' -> '$o') -> '$i').
14.41/2.26	tff(func_def_259, type, sK68: '$i' -> '$i').
14.41/2.26	tff(func_def_260, type, sK69: '$i' -> '$i').
14.41/2.26	tff(func_def_261, type, sK70: '$i' -> '$i').
14.41/2.26	tff(func_def_262, type, sK71: '$i' -> '$i').
14.41/2.26	tff(func_def_263, type, sK72: '$i' -> '$o' -> '$i').
14.41/2.26	tff(func_def_265, type, sK74: '$o' -> '$i').
14.41/2.26	tff(func_def_267, type, inv_vEQ_76: !>[X0: $ttype]:(X0 -> '$o') -> X0).
14.41/2.26	tff(func_def_268, type, sK77: '$i' -> '$i' -> '$i').
14.41/2.26	tff(func_def_269, type, sK78: '$o' -> '$i').
14.41/2.26	tff(f16,axiom,(
14.41/2.26	  (dsetconstrER = ! [X3,X0 : '$i' -> '$o',X1] : (in @ X1 @ (dsetconstr @ X3 @ (^[X2 : '$i'] : X0 @ X2)) => X0 @ X1))),
14.41/2.26	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstrER)).
14.41/2.26	tff(f140,axiom,(
14.41/2.26	  kpair = (^[X1 : '$i', X2 : '$i'] : setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ emptyset))),
14.41/2.26	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kpair)).
14.41/2.26	tff(f142,axiom,(
14.41/2.26	  cartprod = (^[X3 : '$i', X4 : '$i'] : dsetconstr @ (powerset @ (powerset @ (binunion @ X3 @ X4))) @ (^[X1 : '$i'] : ? [X2] : (? [X8] : (kpair @ X2 @ X8 = X1 & in @ X8 @ X4) & in @ X2 @ X3)))),
14.41/2.26	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprod)).
14.41/2.26	tff(f153,conjecture,(
14.41/2.26	  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 => ! [X3,X4,X10] : (in @ X10 @ (cartprod @ X3 @ X4) => ? [X1] : (in @ X1 @ X3 & ? [X2] : (kpair @ X1 @ X2 = X10 & in @ X2 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
14.41/2.26	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprodmempair1)).
14.41/2.26	tff(f154,negated_conjecture,(
14.41/2.26	  ~(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 => ! [X3,X4,X10] : (in @ X10 @ (cartprod @ X3 @ X4) => ? [X1] : (in @ X1 @ X3 & ? [X2] : (kpair @ X1 @ X2 = X10 & in @ X2 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
14.41/2.26	  inference(negated_conjecture,[],[f153])).
14.41/2.26	tff(f155,plain,(
14.41/2.26	  ~(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 => ! [X0,X1,X2] : (in @ X2 @ (cartprod @ X0 @ X1) => ? [X3] : (in @ X3 @ X0 & ? [X4] : (kpair @ X3 @ X4 = X2 & in @ X4 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
14.41/2.26	  inference(rectify,[],[f154])).
14.41/2.26	tff(f156,plain,(
14.41/2.26	  ~((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) => ! [X0,X1,X2] : ((in @ X2 @ (cartprod @ X0 @ X1) = $true) => ? [X3] : ((in @ X3 @ X0 = $true) & ? [X4] : (kpair @ X3 @ X4 = X2 & (in @ X4 @ X1 = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
14.41/2.26	  inference(fool_elimination,[],[f155])).
14.41/2.26	tff(f437,plain,(
14.41/2.26	  (dsetconstrER = ! [X0,X1 : '$i' -> '$o',X2] : (in @ X2 @ (dsetconstr @ X0 @ (^[X3 : '$i'] : X1 @ X3)) => X1 @ X2))),
14.41/2.26	  inference(rectify,[],[f16])).
14.41/2.28	tff(f438,plain,(
14.41/2.28	  (vPI('$i') @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr))))) @ (cCOMB @ iCOMB)))) = dsetconstrER)),
14.41/2.28	  inference(fool_elimination,[],[f437])).
14.41/2.28	tff(f447,plain,(
14.41/2.28	  cartprod = (^[X0 : '$i', X1 : '$i'] : dsetconstr @ (powerset @ (powerset @ (binunion @ X0 @ X1))) @ (^[X2 : '$i'] : ? [X3] : (? [X4] : (kpair @ X3 @ X4 = X2 & in @ X4 @ X1) & in @ X3 @ X0)))),
14.41/2.28	  inference(rectify,[],[f142])).
14.41/2.28	tff(f448,plain,(
14.41/2.28	  sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ dsetconstr) @ (bCOMB @ (bCOMB @ powerset) @ (bCOMB @ (bCOMB @ powerset) @ binunion)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i'))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i'))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ kpair))))))) = cartprod),
14.41/2.28	  inference(fool_elimination,[],[f447])).
14.41/2.28	tff(f451,plain,(
14.41/2.28	  kpair = (^[X0 : '$i', X1 : '$i'] : setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))),
14.41/2.28	  inference(rectify,[],[f140])).
14.41/2.28	tff(f452,plain,(
14.41/2.28	  sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ setadjoin @ (cCOMB @ setadjoin @ emptyset))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ setadjoin) @ (cCOMB @ (bCOMB @ bCOMB @ setadjoin) @ (cCOMB @ setadjoin @ emptyset)))) @ emptyset) = kpair),
14.41/2.28	  inference(fool_elimination,[],[f451])).
14.41/2.28	tff(f455,plain,(
14.41/2.28	  ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : (! [X3] : ((in @ X3 @ X0 != $true) | ! [X4] : (kpair @ X3 @ X4 != X2 | (in @ X4 @ X1 != $true))) & (in @ X2 @ (cartprod @ X0 @ X1) = $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)),
14.41/2.28	  inference(ennf_transformation,[],[f156])).
14.41/2.28	tff(f456,plain,(
14.41/2.28	  ? [X0,X1,X2] : (! [X3] : ((in @ X3 @ X0 != $true) | ! [X4] : (kpair @ X3 @ X4 != X2 | (in @ X4 @ X1 != $true))) & (in @ X2 @ (cartprod @ X0 @ X1) = $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)),
14.41/2.28	  inference(flattening,[],[f455])).
14.41/2.28	tff(f457,plain,(
14.41/2.28	  ? [X0,X1,X2] : (! [X3] : ((in @ X3 @ X0 != $true) | ! [X4] : (kpair @ X3 @ X4 != X2 | (in @ X4 @ X1 != $true))) & (in @ X2 @ (cartprod @ X0 @ X1) = $true)) => (! [X3] : ((in @ X3 @ sK0 != $true) | ! [X4] : (kpair @ X3 @ X4 != sK2 | (in @ X4 @ sK1 != $true))) & (in @ sK2 @ (cartprod @ sK0 @ sK1) = $true))),
14.41/2.28	  introduced(choice_axiom,[])).
14.41/2.28	tff(f458,plain,(
14.41/2.28	  (! [X3] : ((in @ X3 @ sK0 != $true) | ! [X4] : (kpair @ X3 @ X4 != sK2 | (in @ X4 @ sK1 != $true))) & (in @ sK2 @ (cartprod @ sK0 @ sK1) = $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)),
14.41/2.28	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f456,f457])).
14.41/2.28	tff(f473,plain,(
14.41/2.28	  (dsetconstrER = $true)),
14.41/2.28	  inference(cnf_transformation,[],[f458])).
14.41/2.28	tff(f606,plain,(
14.41/2.28	  (in @ sK2 @ (cartprod @ sK0 @ sK1) = $true)),
14.41/2.28	  inference(cnf_transformation,[],[f458])).
14.41/2.28	tff(f607,plain,(
14.41/2.28	  ( ! [X4,X3] : ((in @ X3 @ sK0 != $true) | kpair @ X3 @ X4 != sK2 | (in @ X4 @ sK1 != $true)) )),
14.41/2.28	  inference(cnf_transformation,[],[f458])).
14.41/2.28	tff(f751,plain,(
14.41/2.28	  (vPI('$i') @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr))))) @ (cCOMB @ iCOMB)))) = dsetconstrER)),
14.41/2.28	  inference(cnf_transformation,[],[f438])).
14.41/2.28	tff(f756,plain,(
14.41/2.28	  sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ dsetconstr) @ (bCOMB @ (bCOMB @ powerset) @ (bCOMB @ (bCOMB @ powerset) @ binunion)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i'))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i'))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ kpair))))))) = cartprod),
14.41/2.28	  inference(cnf_transformation,[],[f448])).
14.41/2.28	tff(f758,plain,(
14.41/2.28	  sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ setadjoin @ (cCOMB @ setadjoin @ emptyset))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ setadjoin) @ (cCOMB @ (bCOMB @ bCOMB @ setadjoin) @ (cCOMB @ setadjoin @ emptyset)))) @ emptyset) = kpair),
14.41/2.28	  inference(cnf_transformation,[],[f452])).
14.41/2.28	tff(f760,plain,(
14.41/2.28	  sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ dsetconstr) @ (bCOMB @ (bCOMB @ powerset) @ (bCOMB @ (bCOMB @ powerset) @ binunion)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i'))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i'))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ setadjoin @ (cCOMB @ setadjoin @ emptyset))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ setadjoin) @ (cCOMB @ (bCOMB @ bCOMB @ setadjoin) @ (cCOMB @ setadjoin @ emptyset)))) @ emptyset))))))))) = cartprod),
14.41/2.28	  inference(definition_unfolding,[],[f756,f758])).
14.41/2.28	tff(f761,plain,(
14.41/2.28	  ( ! [X4,X3] : ((in @ X3 @ sK0 != $true) | sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ setadjoin @ (cCOMB @ setadjoin @ emptyset))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ setadjoin) @ (cCOMB @ (bCOMB @ bCOMB @ setadjoin) @ (cCOMB @ setadjoin @ emptyset)))) @ emptyset) @ X3 @ X4 != sK2 | (in @ X4 @ sK1 != $true)) )),
14.41/2.28	  inference(definition_unfolding,[],[f607,f758])).
14.41/2.28	tff(f762,plain,(
14.41/2.28	  (in @ sK2 @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ dsetconstr) @ (bCOMB @ (bCOMB @ powerset) @ (bCOMB @ (bCOMB @ powerset) @ binunion)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i'))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i'))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ setadjoin @ (cCOMB @ setadjoin @ emptyset))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ setadjoin) @ (cCOMB @ (bCOMB @ bCOMB @ setadjoin) @ (cCOMB @ setadjoin @ emptyset)))) @ emptyset))))))))) @ sK0 @ sK1) = $true)),
14.41/2.28	  inference(definition_unfolding,[],[f606,f760])).
14.41/2.28	tff(f906,plain,(
14.41/2.28	  (vPI('$i') @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr))))) @ (cCOMB @ iCOMB)))) = $true)),
14.41/2.28	  inference(definition_unfolding,[],[f751,f473])).
14.41/2.28	tff(f948,plain,(
14.41/2.28	  ( ! [X1] : ((bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr))))) @ (cCOMB @ iCOMB))) @ X1 = $true)) )),
14.41/2.28	  inference(pi_clausification,[],[f906])).
14.41/2.28	tff(f949,plain,(
14.41/2.28	  ( ! [X1] : ((vPI('$i' -> '$o') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ dsetconstr)))) @ (cCOMB @ iCOMB @ X1))) = $true)) )),
14.41/2.28	  inference(combinator_demodulation,[],[f948])).
14.41/2.28	tff(f950,plain,(
14.41/2.28	  ( ! [X2:'$i' -> '$o',X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ dsetconstr)))) @ (cCOMB @ iCOMB @ X1)) @ X2 = $true)) )),
14.41/2.28	  inference(pi_clausification,[],[f949])).
14.41/2.28	tff(f951,plain,(
14.41/2.28	  ( ! [X2:'$i' -> '$o',X1] : ((vPI('$i') @ (cCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ dsetconstr @ X2))) @ (X2 @ X1)) = $true)) )),
14.41/2.28	  inference(combinator_demodulation,[],[f950])).
14.41/2.28	tff(f952,plain,(
14.41/2.28	  ( ! [X2:'$i' -> '$o',X3,X1] : ((cCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ dsetconstr @ X2))) @ (X2 @ X1) @ X3 = $true)) )),
14.41/2.28	  inference(pi_clausification,[],[f951])).
14.41/2.28	tff(f953,plain,(
14.41/2.28	  ( ! [X2:'$i' -> '$o',X3,X1] : ((vIMP @ (in @ X1 @ (dsetconstr @ X3 @ X2)) @ (X2 @ X1) = $true)) )),
14.41/2.28	  inference(combinator_demodulation,[],[f952])).
14.41/2.28	tff(f954,plain,(
14.41/2.28	  ( ! [X2:'$i' -> '$o',X3,X1] : ((in @ X1 @ (dsetconstr @ X3 @ X2) = $false) | (X2 @ X1 = $true)) )),
14.41/2.28	  inference(binary_proxy_clausification,[],[f953])).
14.41/2.28	tff(f2404,plain,(
14.41/2.28	  (in @ sK2 @ (dsetconstr @ (powerset @ (powerset @ (binunion @ sK0 @ sK1))) @ (bCOMB @ vSIGMA('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK0))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK1)))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ setadjoin @ (cCOMB @ setadjoin @ emptyset))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ setadjoin) @ (cCOMB @ (bCOMB @ bCOMB @ setadjoin) @ (cCOMB @ setadjoin @ emptyset)))) @ emptyset)))))))))) = $true)),
14.41/2.28	  inference(combinator_demodulation,[],[f762])).
14.41/2.28	tff(f2405,plain,(
14.41/2.28	  ( ! [X4,X3] : ((in @ X4 @ sK1 != $true) | setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X4 @ emptyset)) @ emptyset) != sK2 | (in @ X3 @ sK0 != $true)) )),
14.41/2.28	  inference(combinator_demodulation,[],[f761])).
14.41/2.28	tff(f13884,plain,(
14.41/2.28	  ($false = $true) | (bCOMB @ vSIGMA('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK0))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK1)))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ setadjoin @ (cCOMB @ setadjoin @ emptyset))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ setadjoin) @ (cCOMB @ (bCOMB @ bCOMB @ setadjoin) @ (cCOMB @ setadjoin @ emptyset)))) @ emptyset)))))))) @ sK2 = $true)),
14.41/2.28	  inference(superposition,[],[f954,f2404])).
14.41/2.28	tff(f13899,plain,(
14.41/2.28	  (bCOMB @ vSIGMA('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK0))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK1)))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ setadjoin @ (cCOMB @ setadjoin @ emptyset))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ setadjoin) @ (cCOMB @ (bCOMB @ bCOMB @ setadjoin) @ (cCOMB @ setadjoin @ emptyset)))) @ emptyset)))))))) @ sK2 = $true)),
14.41/2.28	  inference(trivial_inequality_removal,[],[f13884])).
14.41/2.28	tff(f13900,plain,(
14.41/2.28	  (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK0)) @ (bCOMB @ vSIGMA('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK1))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ setadjoin @ (cCOMB @ setadjoin @ emptyset))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ setadjoin) @ (cCOMB @ (bCOMB @ bCOMB @ setadjoin) @ (cCOMB @ setadjoin @ emptyset)))) @ emptyset)))) @ sK2)))) = $true)),
14.41/2.28	  inference(combinator_demodulation,[],[f13899])).
14.41/2.28	tff(f13901,plain,(
14.41/2.28	  (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK0)) @ (bCOMB @ vSIGMA('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK1))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ setadjoin @ (cCOMB @ setadjoin @ emptyset))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ setadjoin) @ (cCOMB @ (bCOMB @ bCOMB @ setadjoin) @ (cCOMB @ setadjoin @ emptyset)))) @ emptyset)))) @ sK2))) @ sK79 = $true)),
14.41/2.28	  inference(sigma_clausification,[],[f13900])).
14.41/2.28	tff(f13902,plain,(
14.41/2.28	  (vAND @ (in @ sK79 @ sK0) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK1)) @ (cCOMB @ (bCOMB @ vEQ('$i') @ (bCOMB @ (setadjoin @ (setadjoin @ sK79 @ emptyset)) @ (cCOMB @ (bCOMB @ setadjoin @ (bCOMB @ (setadjoin @ sK79) @ (cCOMB @ setadjoin @ emptyset))) @ emptyset))) @ sK2))) = $true)),
14.41/2.28	  inference(combinator_demodulation,[],[f13901])).
14.41/2.28	tff(f13903,plain,(
14.41/2.28	  (in @ sK79 @ sK0 = $true)),
14.41/2.28	  inference(binary_proxy_clausification,[],[f13902])).
14.41/2.28	tff(f13904,plain,(
14.41/2.28	  (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK1)) @ (cCOMB @ (bCOMB @ vEQ('$i') @ (bCOMB @ (setadjoin @ (setadjoin @ sK79 @ emptyset)) @ (cCOMB @ (bCOMB @ setadjoin @ (bCOMB @ (setadjoin @ sK79) @ (cCOMB @ setadjoin @ emptyset))) @ emptyset))) @ sK2)) = $true)),
14.41/2.28	  inference(binary_proxy_clausification,[],[f13902])).
14.41/2.28	tff(f13905,plain,(
14.41/2.28	  (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK1)) @ (cCOMB @ (bCOMB @ vEQ('$i') @ (bCOMB @ (setadjoin @ (setadjoin @ sK79 @ emptyset)) @ (cCOMB @ (bCOMB @ setadjoin @ (bCOMB @ (setadjoin @ sK79) @ (cCOMB @ setadjoin @ emptyset))) @ emptyset))) @ sK2) @ sK80 = $true)),
14.41/2.28	  inference(sigma_clausification,[],[f13904])).
14.41/2.28	tff(f13906,plain,(
14.41/2.28	  (vAND @ (in @ sK80 @ sK1) @ (vEQ('$i') @ (setadjoin @ (setadjoin @ sK79 @ emptyset) @ (setadjoin @ (setadjoin @ sK79 @ (setadjoin @ sK80 @ emptyset)) @ emptyset)) @ sK2) = $true)),
14.41/2.28	  inference(combinator_demodulation,[],[f13905])).
14.41/2.28	tff(f13907,plain,(
14.41/2.28	  (in @ sK80 @ sK1 = $true)),
14.41/2.28	  inference(binary_proxy_clausification,[],[f13906])).
14.41/2.28	tff(f13908,plain,(
14.41/2.28	  (vEQ('$i') @ (setadjoin @ (setadjoin @ sK79 @ emptyset) @ (setadjoin @ (setadjoin @ sK79 @ (setadjoin @ sK80 @ emptyset)) @ emptyset)) @ sK2 = $true)),
14.41/2.28	  inference(binary_proxy_clausification,[],[f13906])).
14.41/2.28	tff(f13909,plain,(
14.41/2.28	  setadjoin @ (setadjoin @ sK79 @ emptyset) @ (setadjoin @ (setadjoin @ sK79 @ (setadjoin @ sK80 @ emptyset)) @ emptyset) = sK2),
14.41/2.28	  inference(equality_proxy_clausification,[],[f13908])).
14.41/2.28	tff(f14001,plain,(
14.41/2.28	  setadjoin @ (setadjoin @ sK79 @ emptyset) @ (setadjoin @ (setadjoin @ sK79 @ (setadjoin @ sK80 @ emptyset)) @ emptyset) != sK2),
14.41/2.28	  inference(unit_resulting_resolution,[],[f13903,f13907,f2405])).
14.41/2.28	tff(f14037,plain,(
14.41/2.28	  $false),
14.41/2.28	  inference(subsumption_resolution,[],[f14001,f13909])).
14.41/2.28	% SZS output end Proof for theBenchmark
14.41/2.28	% (6742)------------------------------
14.41/2.28	% (6742)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
14.41/2.28	% (6742)Termination reason: Refutation
14.41/2.28	
14.41/2.28	% (6742)Memory used [KB]: 9210
14.41/2.28	% (6742)Time elapsed: 1.863 s
14.41/2.28	% (6742)------------------------------
14.41/2.28	% (6742)------------------------------
14.41/2.29	% (6734)Success in time 1.919 s
14.41/2.30	EOF