0.07/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.14	% Command    : run_vampire %s %d
0.14/0.36	% Computer   : n002.cluster.edu
0.14/0.36	% Model      : x86_64 x86_64
0.14/0.36	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.36	% Memory     : 8042.1875MB
0.14/0.36	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.36	% CPULimit   : 1200
0.14/0.36	% WCLimit    : 120
0.14/0.36	% DateTime   : Tue Jul 13 10:57:33 EDT 2021
0.14/0.36	% CPUTime    : 
0.14/0.36	This is a THF_ problem
0.14/0.36	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.14/0.36	Running in auto input_syntax mode. Trying TPTP
0.14/0.38	% (16088)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off:thsq=on_2 on theBenchmark
0.14/0.38	% (16090)lrs+1011_8_add=large:csup=on:inj=on:chr=on:cases=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:thsq=on_3 on theBenchmark
0.14/0.38	% (16089)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_2 on theBenchmark
0.14/0.38	% (16093)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:cases=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:thsq=on_14 on theBenchmark
0.14/0.39	% (16112)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:cases=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:thsq=on_50 on theBenchmark
0.14/0.40	% (16103)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:cases=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:thsq=on_7 on theBenchmark
0.14/0.40	% (16106)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:cases=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:thsq=on_6 on theBenchmark
0.14/0.41	% (16105)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:cases=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:thsq=on_30 on theBenchmark
0.14/0.41	% (16104)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:cases=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:thsq=on_300 on theBenchmark
0.14/0.41	% (16098)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:thsq=on_40 on theBenchmark
0.14/0.41	% (16107)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:cases=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:thsq=on_8 on theBenchmark
0.21/0.41	% (16096)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only:thsq=on_29 on theBenchmark
0.21/0.41	% (16116)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:cases=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_186 on theBenchmark
0.21/0.41	% (16095)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on:thsq=on_32 on theBenchmark
0.21/0.41	% (16102)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:cases=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:thsq=on_1 on theBenchmark
0.21/0.41	% (16092)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:cases=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:thsq=on_13 on theBenchmark
0.21/0.41	% (16101)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off:thsq=on_9 on theBenchmark
0.21/0.41	% (16091)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:cases=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:thsq=on_2 on theBenchmark
0.21/0.42	% (16097)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:cases=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:thsq=on_3 on theBenchmark
0.21/0.43	% (16114)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:cases=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:thsq=on_13 on theBenchmark
0.21/0.43	% (16100)dis+1002_6_add=large:csup=on:inj=on:chr=on:cases=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:thsq=on_2 on theBenchmark
0.21/0.43	% (16115)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:cases=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:thsq=on_300 on theBenchmark
0.21/0.43	% (16111)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on:thsq=on_8 on theBenchmark
0.21/0.43	% (16113)lrs+1011_5_add=large:csup=on:inj=on:chr=on:cases=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:thsq=on_130 on theBenchmark
0.21/0.43	% (16118)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:cases=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:thsq=on_50 on theBenchmark
0.21/0.44	% (16105)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.21/0.44	% (16094)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:cases=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:thsq=on_3 on theBenchmark
0.21/0.45	% (16110)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_30 on theBenchmark
0.21/0.45	% (16117)dis+1002_4_add=large:csup=on:inj=on:chr=on:cases=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
0.21/0.45	% (16099)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:cases=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:thsq=on_2 on theBenchmark
0.21/0.46	% (16114)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.21/0.46	% (16109)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:cases=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:thsq=on_41 on theBenchmark
0.21/0.58	% (16104)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.21/0.59	% (16097)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.21/0.59	% (16095)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.21/0.61	% (16101)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.21/0.61	% (16092)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.90/0.67	% (16094)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.90/0.68	% (16103)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.90/0.68	% (16090)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.90/0.68	% (16112)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.90/0.68	% (16104)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.90/0.69	% (16097)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.90/0.69	% (16096)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.90/0.70	% (16107)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
2.80/0.75	% (16113)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
2.80/0.79	% (16111)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
5.14/1.04	% (16102)Time limit reached!
5.14/1.04	% (16102)------------------------------
5.14/1.04	% (16102)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
5.14/1.05	% (16102)Termination reason: Time limit
5.14/1.05	
5.14/1.05	% (16102)Memory used [KB]: 8699
5.14/1.05	% (16102)Time elapsed: 0.649 s
5.14/1.05	% (16102)------------------------------
5.14/1.05	% (16102)------------------------------
5.14/1.07	% (16089)Time limit reached!
5.14/1.07	% (16089)------------------------------
5.14/1.07	% (16089)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
5.14/1.07	% (16089)Termination reason: Time limit
5.14/1.07	% (16089)Termination phase: Saturation
5.14/1.07	
5.14/1.07	% (16089)Memory used [KB]: 13304
5.14/1.07	% (16089)Time elapsed: 0.700 s
5.14/1.07	% (16089)------------------------------
5.14/1.07	% (16089)------------------------------
5.14/1.09	% (16099)Time limit reached!
5.14/1.09	% (16099)------------------------------
5.14/1.09	% (16099)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
5.14/1.09	% (16141)dis+1011_10_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence:thsq=on_75 on theBenchmark
5.14/1.10	% (16099)Termination reason: Time limit
5.14/1.10	
5.14/1.10	% (16099)Memory used [KB]: 12792
5.14/1.10	% (16099)Time elapsed: 0.709 s
5.14/1.10	% (16099)------------------------------
5.14/1.10	% (16099)------------------------------
5.14/1.10	% (16091)Time limit reached!
5.14/1.10	% (16091)------------------------------
5.14/1.10	% (16091)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
5.14/1.10	% (16091)Termination reason: Time limit
5.14/1.10	% (16091)Termination phase: Saturation
5.14/1.10	
5.14/1.10	% (16091)Memory used [KB]: 20596
5.14/1.10	% (16091)Time elapsed: 0.700 s
5.14/1.10	% (16091)------------------------------
5.14/1.10	% (16091)------------------------------
5.14/1.11	% (16088)Time limit reached!
5.14/1.11	% (16088)------------------------------
5.14/1.11	% (16088)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
5.14/1.11	% (16088)Termination reason: Time limit
5.14/1.11	
5.14/1.11	% (16088)Memory used [KB]: 4093
5.14/1.11	% (16088)Time elapsed: 0.736 s
5.14/1.11	% (16088)------------------------------
5.14/1.11	% (16088)------------------------------
5.14/1.11	% (16142)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:cases=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only:thsq=on_29 on theBenchmark
5.88/1.13	% (16143)lrs+1011_8_add=large:csup=on:inj=on:prag=on:cases=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:thsq=on_26 on theBenchmark
5.88/1.14	% (16144)lrs+1011_8_add=large:csup=on:fe=off:cases=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:thsq=on_30 on theBenchmark
5.88/1.15	% (16145)dis+1002_4_add=large:csup=on:narr=off:inj=on:prag=on:cbe=off:cases=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:thsq=on_27 on theBenchmark
6.38/1.28	% (16090)Time limit reached!
6.38/1.28	% (16090)------------------------------
6.38/1.28	% (16090)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
6.38/1.28	% (16090)Termination reason: Time limit
6.38/1.28	
6.38/1.28	% (16090)Memory used [KB]: 13816
6.38/1.28	% (16090)Time elapsed: 0.905 s
6.38/1.28	% (16090)------------------------------
6.38/1.28	% (16090)------------------------------
6.38/1.29	% (16100)Time limit reached!
6.38/1.29	% (16100)------------------------------
6.38/1.29	% (16100)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
6.38/1.29	% (16097)Time limit reached!
6.38/1.29	% (16097)------------------------------
6.38/1.29	% (16097)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
6.38/1.29	% (16097)Termination reason: Time limit
6.38/1.29	
6.38/1.29	% (16097)Memory used [KB]: 14711
6.38/1.29	% (16097)Time elapsed: 0.917 s
6.38/1.29	% (16097)------------------------------
6.38/1.29	% (16097)------------------------------
6.38/1.31	% (16100)Termination reason: Time limit
6.38/1.31	
6.38/1.31	% (16100)Memory used [KB]: 7803
6.38/1.31	% (16100)Time elapsed: 0.899 s
6.38/1.31	% (16100)------------------------------
6.38/1.31	% (16100)------------------------------
6.38/1.33	% (16146)dis+1_3_add=large:afp=4000:csup=on:inj=on:chr=on:cases=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:updr=off:uhcvi=on:thsq=on_125 on theBenchmark
6.38/1.33	% (16147)dis+1010_3:1_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:nm=32:nwc=1:sos=all:urr=ec_only:updr=off:thsq=on_77 on theBenchmark
7.88/1.39	% (16148)lrs+1011_5:4_acc=on:csup=on:inj=on:chr=on:cases=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:thsq=on_126 on theBenchmark
7.88/1.40	% (16142)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
7.88/1.41	% (16144)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
7.88/1.41	% (16143)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
9.98/1.68	% (16148)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
12.47/1.99	% (16106)Time limit reached!
12.47/1.99	% (16106)------------------------------
12.47/1.99	% (16106)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
12.47/1.99	% (16106)Termination reason: Time limit
12.47/1.99	
12.47/1.99	% (16106)Memory used [KB]: 11513
12.47/1.99	% (16106)Time elapsed: 1.617 s
12.47/1.99	% (16106)------------------------------
12.47/1.99	% (16106)------------------------------
13.10/2.07	% (16149)lrs+1002_1_add=large:csup=on:narr=off:inj=on:fe=off:chr=on:cases=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:thsq=on_50 on theBenchmark
13.43/2.11	% (16103)Time limit reached!
13.43/2.11	% (16103)------------------------------
13.43/2.11	% (16103)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
13.43/2.11	% (16103)Termination reason: Time limit
13.43/2.11	
13.43/2.11	% (16103)Memory used [KB]: 16886
13.43/2.11	% (16103)Time elapsed: 1.721 s
13.43/2.11	% (16103)------------------------------
13.43/2.11	% (16103)------------------------------
14.12/2.20	% (16150)lrs-3_4:1_afp=1000:afq=1.4:csup=on:inj=on:chr=on:cases=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:thsq=on_11 on theBenchmark
15.71/2.38	% (16111)Time limit reached!
15.71/2.38	% (16111)------------------------------
15.71/2.38	% (16111)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
15.71/2.38	% (16111)Termination reason: Time limit
15.71/2.38	% (16111)Termination phase: Saturation
15.71/2.38	
15.71/2.38	% (16111)Memory used [KB]: 10106
15.71/2.38	% (16111)Time elapsed: 2.0000 s
15.71/2.38	% (16111)------------------------------
15.71/2.38	% (16111)------------------------------
15.71/2.40	% (16107)Time limit reached!
15.71/2.40	% (16107)------------------------------
15.71/2.40	% (16107)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
15.71/2.40	% (16107)Termination reason: Time limit
15.71/2.40	
15.71/2.40	% (16107)Memory used [KB]: 15735
15.71/2.40	% (16107)Time elapsed: 2.027 s
15.71/2.40	% (16107)------------------------------
15.71/2.40	% (16107)------------------------------
15.71/2.42	% (16149)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
15.71/2.43	% (16151)ott+11_2:1_add=large:csup=on:inj=on:chr=on:cases=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:thsq=on_9 on theBenchmark
16.22/2.46	% (16152)lrs+1011_8_add=large:csup=off:cases=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:thsq=on_13 on theBenchmark
17.84/2.63	% (16101)Time limit reached!
17.84/2.63	% (16101)------------------------------
17.84/2.63	% (16101)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
17.84/2.63	% (16101)Termination reason: Time limit
17.84/2.63	
17.84/2.63	% (16101)Memory used [KB]: 18293
17.84/2.63	% (16101)Time elapsed: 2.258 s
17.84/2.63	% (16101)------------------------------
17.84/2.63	% (16101)------------------------------
17.84/2.69	% (16153)lrs+1011_2:1_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:lwlo=on:nm=16:newcnf=on:nwc=2:sd=4:ss=axioms:st=3.0:sp=occurrence:thsq=on_300 on theBenchmark
18.50/2.75	% (16152)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
18.50/2.76	% (16094)Time limit reached!
18.50/2.76	% (16094)------------------------------
18.50/2.76	% (16094)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
18.50/2.76	% (16094)Termination reason: Time limit
18.50/2.76	
18.50/2.76	% (16094)Memory used [KB]: 42600
18.50/2.76	% (16094)Time elapsed: 2.374 s
18.50/2.76	% (16094)------------------------------
18.50/2.76	% (16094)------------------------------
18.98/2.81	% (16154)dis+1011_4_av=off:cond=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence:thsq=on_5 on theBenchmark
20.70/3.04	% (16153)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
21.55/3.20	% (16095)First to succeed.
21.55/3.21	% (16095)Refutation found. Thanks to Tanya!
21.55/3.21	% SZS status Theorem for theBenchmark
21.55/3.21	% SZS output start Proof for theBenchmark
21.55/3.21	thf(type_def_6, type, >: ($tType * $tType) > $tType).
21.55/3.21	thf(func_def_7, type, in: $i > $i > $o).
21.55/3.21	thf(func_def_8, type, exu: ($i > $o) > $o).
21.55/3.21	thf(func_def_13, type, setadjoin: $i > $i > $i).
21.55/3.21	thf(func_def_15, type, powerset: $i > $i).
21.55/3.21	thf(func_def_17, type, setunion: $i > $i).
21.55/3.21	thf(func_def_26, type, descr: ($i > $o) > $i).
21.55/3.21	thf(func_def_28, type, dsetconstr: $i > ($i > $o) > $i).
21.55/3.21	thf(func_def_33, type, prop2set: $o > $i).
21.55/3.21	thf(func_def_43, type, nonempty: $i > $o).
21.55/3.21	thf(func_def_76, type, set2prop: $i > $o).
21.55/3.21	thf(func_def_95, type, subset: $i > $i > $o).
21.55/3.21	thf(func_def_96, type, disjoint: $i > $i > $o).
21.55/3.21	thf(func_def_97, type, setsmeet: $i > $i > $o).
21.55/3.21	thf(func_def_121, type, binunion: $i > $i > $i).
21.55/3.21	thf(func_def_129, type, binintersect: $i > $i > $i).
21.55/3.21	thf(func_def_142, type, regular: $i > $o).
21.55/3.21	thf(func_def_143, type, setminus: $i > $i > $i).
21.55/3.21	thf(func_def_154, type, symdiff: $i > $i > $i).
21.55/3.21	thf(func_def_160, type, iskpair: $i > $o).
21.55/3.21	thf(func_def_165, type, kpair: $i > $i > $i).
21.55/3.21	thf(func_def_167, type, cartprod: $i > $i > $i).
21.55/3.21	thf(func_def_178, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
21.55/3.21	thf(func_def_181, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
21.55/3.21	thf(func_def_182, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
21.55/3.21	thf(func_def_183, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)).
21.55/3.21	thf(func_def_184, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
21.55/3.21	thf(func_def_185, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
21.55/3.21	thf(func_def_186, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
21.55/3.21	thf(func_def_187, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
21.55/3.21	thf(func_def_188, type, vIMP: $o > $o > $o).
21.55/3.21	thf(func_def_189, type, vAND: $o > $o > $o).
21.55/3.21	thf(func_def_190, type, vNOT: $o > $o).
21.55/3.21	thf(func_def_191, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)).
21.55/3.21	thf(func_def_192, type, vIFF: $o > $o > $o).
21.55/3.21	thf(func_def_193, type, vOR: $o > $o > $o).
21.55/3.21	thf(func_def_197, type, sK3: $i > $i > $i).
21.55/3.21	thf(func_def_198, type, sK4: $i > $i > $i).
21.55/3.21	thf(func_def_199, type, sK5: $i > $i > $i).
21.55/3.21	thf(func_def_200, type, sK6: $i > $i > $i).
21.55/3.21	thf(func_def_201, type, sK7: $o > $i > $i > $i).
21.55/3.21	thf(func_def_202, type, sK8: $i > ($i > $o) > $i).
21.55/3.21	thf(func_def_203, type, sK9: ($i > $o) > ($i > $o) > $i).
21.55/3.21	thf(func_def_204, type, sK10: ($i > $o) > ($i > $o) > $i).
21.55/3.21	thf(func_def_205, type, sK11: ($i > $o) > ($i > $o) > $i).
21.55/3.21	thf(func_def_206, type, sK12: ($i > $o) > ($i > $o) > $i).
21.55/3.21	thf(func_def_207, type, sK13: $i > ($i > $o) > $i).
21.55/3.21	thf(func_def_208, type, sK14: $i > ($i > $o) > $i).
21.55/3.21	thf(func_def_209, type, sK15: $i > ($i > $o) > $i).
21.55/3.21	thf(func_def_210, type, sK16: $i > ($i > $o) > $i).
21.55/3.21	thf(func_def_211, type, sK17: $i > ($i > $o) > $i).
21.55/3.21	thf(func_def_212, type, sK18: $i > ($i > $o) > $i).
21.55/3.21	thf(func_def_213, type, sK19: $i > $i > $i).
21.55/3.21	thf(func_def_214, type, sK20: ($i > $i > $o) > $i > $i).
21.55/3.21	thf(func_def_215, type, sK21: ($i > $i > $o) > $i > $i).
21.55/3.21	thf(func_def_216, type, sK22: $i > ($i > $i > $o) > $i > $i).
21.55/3.21	thf(func_def_217, type, sK23: ($i > $i > $o) > $i > $i).
21.55/3.21	thf(func_def_218, type, sK24: ($i > $i > $o) > $i > $i).
21.55/3.21	thf(func_def_219, type, sK25: $i > $i > $i).
21.55/3.21	thf(func_def_220, type, sK26: $i > $i > $i).
21.55/3.21	thf(func_def_221, type, sK27: $i > $i > $i).
21.55/3.21	thf(func_def_222, type, sK28: $i > $i > $i).
21.55/3.21	thf(func_def_223, type, sK29: $i > $i > $i).
21.55/3.21	thf(func_def_224, type, sK30: $i > $i > $i).
21.55/3.21	thf(func_def_225, type, sK31: $i > ($i > $o) > $i).
21.55/3.21	thf(func_def_226, type, sK32: $i > $i > $i).
21.55/3.21	thf(func_def_227, type, sK33: $i > ($i > $o) > $i).
21.55/3.21	thf(func_def_228, type, sK34: $i > ($i > $o) > $i).
21.55/3.21	thf(func_def_229, type, sK35: $i > ($i > $o) > $i).
21.55/3.21	thf(func_def_230, type, sK36: $i > ($i > $o) > $i).
21.55/3.21	thf(func_def_231, type, sK37: ($i > $o) > ($i > $o) > $i > $i > $i).
21.55/3.21	thf(func_def_232, type, sK38: ($i > $o) > ($i > $o) > $i > $i > $i).
21.55/3.21	thf(func_def_233, type, sK39: $i > $i).
21.55/3.21	thf(func_def_234, type, sK40: $i > $i > $i > $i).
21.55/3.21	thf(func_def_235, type, sK41: $i > $i > $i).
21.55/3.21	thf(func_def_236, type, sK42: $i > $i > $i).
21.55/3.21	thf(func_def_237, type, sK43: $i > $i > $i).
21.55/3.21	thf(func_def_238, type, sK44: $i > $i > $i).
21.55/3.21	thf(func_def_239, type, sK45: $i > $i > $i).
21.55/3.21	thf(func_def_240, type, sK46: $i > $i > $i).
21.55/3.21	thf(func_def_241, type, sK47: $i > ($i > $o) > $i).
21.55/3.21	thf(func_def_242, type, sK48: $i > ($i > $o) > $i).
21.55/3.21	thf(func_def_243, type, sK49: ($i > $o) > $i).
21.55/3.21	thf(func_def_244, type, sK50: ($i > $o) > $i).
21.55/3.21	thf(func_def_245, type, sK51: $i > ($i > $o) > $i).
21.55/3.21	thf(func_def_246, type, sK52: ($i > $o) > $i).
21.55/3.21	thf(func_def_247, type, sK53: ($i > $o) > $i).
21.55/3.21	thf(func_def_248, type, sK54: $i > ($i > $o) > $i).
21.55/3.21	thf(func_def_249, type, sK55: $i > ($i > $o) > $i).
21.55/3.21	thf(func_def_250, type, sK56: $i > $i).
21.55/3.21	thf(func_def_251, type, sK57: $i > $i).
21.55/3.21	thf(func_def_252, type, sK58: $i > $i).
21.55/3.21	thf(func_def_253, type, sK59: ($i > $o) > $i).
21.55/3.21	thf(func_def_254, type, sK60: ($i > $o) > $i).
21.55/3.21	thf(func_def_255, type, sK61: ($i > $o) > $i).
21.55/3.21	thf(func_def_256, type, sK62: ($i > $o) > $i).
21.55/3.21	thf(func_def_257, type, sK63: ($i > $o) > $i).
21.55/3.21	thf(func_def_258, type, sK64: $i > ($i > $o) > $i).
21.55/3.21	thf(func_def_259, type, sK65: ($i > $o) > $i).
21.55/3.21	thf(func_def_260, type, sK66: $i > $i).
21.55/3.21	thf(func_def_261, type, sK67: $i > $i).
21.55/3.21	thf(func_def_262, type, sK68: $i > $i).
21.55/3.21	thf(func_def_266, type, sK69: $i > $i).
21.55/3.21	thf(func_def_267, type, sK70: $i > $o > $i).
21.55/3.21	thf(func_def_269, type, sK72: $o > $i).
21.55/3.21	thf(func_def_271, type, sK74: $o > $i).
21.55/3.21	thf(func_def_272, type, sK75: $i > $i > $i).
21.55/3.21	thf(func_def_273, type, sK76: $i > $i > $i).
21.55/3.21	thf(func_def_274, type, sK77: $i > $i > $i).
21.55/3.21	thf(func_def_275, type, sK78: $i > $i > $i).
21.55/3.21	thf(func_def_276, type, sK79: $i > $i > $i).
21.55/3.21	thf(func_def_277, type, sK80: $i > $i > $i).
21.55/3.21	thf(func_def_278, type, sK81: $i > $i > $i).
21.55/3.21	thf(func_def_279, type, sK82: $i > $i).
21.55/3.21	thf(func_def_280, type, sK83: $i > $i).
21.55/3.21	thf(func_def_281, type, sK84: $i > $i).
21.55/3.21	thf(func_def_282, type, sK85: $i > $i > $i).
21.55/3.21	thf(func_def_283, type, sK86: $i > $i).
21.55/3.21	thf(func_def_284, type, sK87: $i > $i).
21.55/3.21	thf(func_def_285, type, sK88: $i > $i).
21.55/3.21	thf(func_def_286, type, sK89: $i > $i).
21.55/3.21	thf(func_def_287, type, sK90: $i > $i).
21.55/3.21	thf(func_def_288, type, sK91: $i > $i).
21.55/3.21	thf(func_def_289, type, sK92: $i > $i).
21.55/3.21	thf(func_def_290, type, sK93: $i > $i).
21.55/3.21	thf(func_def_291, type, sK94: $i > $i).
21.55/3.21	thf(func_def_292, type, sK95: $i > $i).
21.55/3.21	thf(func_def_293, type, sK96: $i > $i).
21.55/3.21	thf(func_def_294, type, sK97: $i > $i > $i).
21.55/3.21	thf(func_def_295, type, sK98: $i > $i > $i).
21.55/3.21	thf(func_def_296, type, sK99: $i > $i > $i).
21.55/3.21	thf(func_def_297, type, sK100: $i > $i > $i).
21.55/3.21	thf(func_def_298, type, sK101: $i > $i > $i).
21.55/3.21	thf(func_def_299, type, sK102: $i > $i > $i).
21.55/3.21	thf(func_def_300, type, sK103: $i > $i > $i).
21.55/3.21	thf(func_def_301, type, sK104: $i > $i > $i).
21.55/3.21	thf(func_def_302, type, sK105: $i > $i > $i).
21.55/3.21	thf(func_def_303, type, sK106: $i > $i > $i).
21.55/3.21	thf(func_def_304, type, sK107: $i > $i > $i).
21.55/3.21	thf(func_def_305, type, sK108: $i > $i > $i).
21.55/3.21	thf(func_def_306, type, sK109: $i > $i > $i).
21.55/3.21	thf(func_def_307, type, sK110: $i > $i > $i).
21.55/3.21	thf(func_def_308, type, sK111: $i > $i > $i).
21.55/3.21	thf(func_def_309, type, sK112: $i > $i > $i).
21.55/3.21	thf(func_def_310, type, sK113: $i > $i > $i).
21.55/3.21	thf(func_def_311, type, sK114: $i > $i > $i).
21.55/3.21	thf(func_def_312, type, sK115: $i > $i > $i).
21.55/3.21	thf(func_def_313, type, sK116: $i > $i > $i).
21.55/3.21	thf(func_def_314, type, sK117: $i > $i > $i).
21.55/3.21	thf(func_def_315, type, sK118: $i > $i > $i).
21.55/3.21	thf(func_def_316, type, sK119: $i > $i > $i).
21.55/3.21	thf(func_def_317, type, sK120: $i > $i > $i).
21.55/3.21	thf(func_def_318, type, sK121: $i > $i > $i).
21.55/3.21	thf(func_def_319, type, sK122: $i > $i > $i).
21.55/3.21	thf(func_def_320, type, sK123: $i > $i > $i).
21.55/3.21	thf(func_def_321, type, sK124: $i > $i > $i).
21.55/3.21	thf(func_def_322, type, sK125: $i > $i > $i).
21.55/3.21	thf(func_def_323, type, sK126: $i > $i > $i).
21.55/3.21	thf(func_def_324, type, sK127: $i > $i > $i).
21.55/3.21	thf(func_def_325, type, sK128: $i > $i > $i).
21.55/3.21	thf(func_def_326, type, sK129: $i > $i > $i).
21.55/3.21	thf(func_def_327, type, sK130: $i > $i > $i).
21.55/3.21	thf(func_def_328, type, sK131: $i > $i).
21.55/3.21	thf(func_def_329, type, sK132: $i > $i > $i).
21.55/3.21	thf(func_def_330, type, sK133: $i > $i > $i).
21.55/3.21	thf(func_def_331, type, sK134: $i > $i > $i).
21.55/3.21	thf(func_def_332, type, sK135: $i > $i > $i).
21.55/3.21	thf(func_def_333, type, sK136: $i > $i > $i).
21.55/3.21	thf(func_def_334, type, sK137: $i > $i > $i).
21.55/3.21	thf(func_def_335, type, sK138: $i > $i > $i).
21.55/3.21	thf(func_def_336, type, sK139: $i > $i > $i).
21.55/3.21	thf(func_def_337, type, sK140: $i > $i > $i).
21.55/3.21	thf(func_def_338, type, sK141: $i > $i > $i).
21.55/3.21	thf(func_def_339, type, sK142: $i > $i > $i).
21.55/3.21	thf(f23514,plain,(
21.55/3.21	  $false),
21.55/3.21	  inference(subsumption_resolution,[],[f23461,f23322])).
21.55/3.21	thf(f23322,plain,(
21.55/3.21	  (sK2 = ((setadjoin @ ((setadjoin @ sK143) @ emptyset)) @ ((setadjoin @ ((setadjoin @ sK143) @ ((setadjoin @ sK144) @ emptyset))) @ emptyset)))),
21.55/3.21	  inference(equality_proxy_clausification,[],[f23320])).
21.55/3.21	thf(f23320,plain,(
21.55/3.21	  ($true = ((vEQ($i) @ ((setadjoin @ ((setadjoin @ sK143) @ emptyset)) @ ((setadjoin @ ((setadjoin @ sK143) @ ((setadjoin @ sK144) @ emptyset))) @ emptyset))) @ sK2))),
21.55/3.21	  inference(binary_proxy_clausification,[],[f23319])).
21.55/3.21	thf(f23319,plain,(
21.55/3.21	  ($true = ((vAND @ ((in @ sK144) @ sK1)) @ ((vEQ($i) @ ((setadjoin @ ((setadjoin @ sK143) @ emptyset)) @ ((setadjoin @ ((setadjoin @ sK143) @ ((setadjoin @ sK144) @ emptyset))) @ emptyset))) @ sK2)))),
21.55/3.21	  inference(combinator_demodulation,[],[f23318])).
21.55/3.21	thf(f23318,plain,(
21.55/3.21	  ($true = (((sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ in) @ sK1))) @ ((cCOMB @ ((bCOMB @ vEQ($i)) @ ((bCOMB @ (setadjoin @ ((setadjoin @ sK143) @ emptyset))) @ ((cCOMB @ ((bCOMB @ setadjoin) @ ((bCOMB @ (setadjoin @ sK143)) @ ((cCOMB @ setadjoin) @ emptyset)))) @ emptyset)))) @ sK2)) @ sK144))),
21.55/3.21	  inference(sigma_clausification,[],[f23316])).
21.55/3.21	thf(f23316,plain,(
21.55/3.21	  ($true = (vSIGMA($i) @ ((sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ in) @ sK1))) @ ((cCOMB @ ((bCOMB @ vEQ($i)) @ ((bCOMB @ (setadjoin @ ((setadjoin @ sK143) @ emptyset))) @ ((cCOMB @ ((bCOMB @ setadjoin) @ ((bCOMB @ (setadjoin @ sK143)) @ ((cCOMB @ setadjoin) @ emptyset)))) @ emptyset)))) @ sK2))))),
21.55/3.21	  inference(binary_proxy_clausification,[],[f23315])).
21.55/3.21	thf(f23315,plain,(
21.55/3.21	  ($true = ((vAND @ ((in @ sK143) @ sK0)) @ (vSIGMA($i) @ ((sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ in) @ sK1))) @ ((cCOMB @ ((bCOMB @ vEQ($i)) @ ((bCOMB @ (setadjoin @ ((setadjoin @ sK143) @ emptyset))) @ ((cCOMB @ ((bCOMB @ setadjoin) @ ((bCOMB @ (setadjoin @ sK143)) @ ((cCOMB @ setadjoin) @ emptyset)))) @ emptyset)))) @ sK2)))))),
21.55/3.21	  inference(combinator_demodulation,[],[f23314])).
21.55/3.21	thf(f23314,plain,(
21.55/3.21	  ($true = (((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)))) @ sK143))),
21.55/3.21	  inference(sigma_clausification,[],[f23313])).
21.55/3.21	thf(f23313,plain,(
21.55/3.21	  ($true = (vSIGMA($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))))))),
21.55/3.21	  inference(combinator_demodulation,[],[f23312])).
21.55/3.21	thf(f23312,plain,(
21.55/3.21	  ($true = (((bCOMB @ vSIGMA($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))),
21.55/3.21	  inference(trivial_inequality_removal,[],[f23286])).
21.55/3.21	thf(f23286,plain,(
21.55/3.21	  ($true = $false) | ($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($i))) @ ((sCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ setadjoin) @ ((cCOMB @ setadjoin) @ emptyset)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ setadjoin)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ setadjoin)) @ ((cCOMB @ setadjoin) @ emptyset))))) @ emptyset))))))))) @ sK2))),
21.55/3.21	  inference(superposition,[],[f949,f2322])).
21.55/3.21	thf(f2322,plain,(
21.55/3.21	  ($true = ((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($i))) @ ((sCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ setadjoin) @ ((cCOMB @ setadjoin) @ emptyset)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ setadjoin)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ setadjoin)) @ ((cCOMB @ setadjoin) @ emptyset))))) @ emptyset))))))))))))),
21.55/3.21	  inference(combinator_demodulation,[],[f763])).
21.55/3.21	thf(f763,plain,(
21.55/3.21	  ($true = ((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($i))) @ ((sCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ setadjoin) @ ((cCOMB @ setadjoin) @ emptyset)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ setadjoin)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ setadjoin)) @ ((cCOMB @ setadjoin) @ emptyset))))) @ emptyset)))))))))) @ sK0) @ sK1)))),
21.55/3.21	  inference(definition_unfolding,[],[f607,f761])).
21.55/3.21	thf(f761,plain,(
21.55/3.21	  (cartprod = ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ dsetconstr)) @ ((bCOMB @ (bCOMB @ powerset)) @ ((bCOMB @ (bCOMB @ powerset)) @ binunion))))) @ ((bCOMB @ (bCOMB @ (bCOMB @ vSIGMA($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)))))))))))),
21.55/3.21	  inference(definition_unfolding,[],[f757,f759])).
21.55/3.21	thf(f759,plain,(
21.55/3.21	  (kpair = ((sCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ setadjoin) @ ((cCOMB @ setadjoin) @ emptyset)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ setadjoin)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ setadjoin)) @ ((cCOMB @ setadjoin) @ emptyset))))) @ emptyset)))),
21.55/3.21	  inference(cnf_transformation,[],[f453])).
21.55/3.21	thf(f453,plain,(
21.55/3.21	  (kpair = ((sCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ setadjoin) @ ((cCOMB @ setadjoin) @ emptyset)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ setadjoin)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ setadjoin)) @ ((cCOMB @ setadjoin) @ emptyset))))) @ emptyset)))),
21.55/3.21	  inference(fool_elimination,[],[f452])).
21.55/3.21	thf(f452,plain,(
21.55/3.21	  (kpair = (^[X0 : $i, X1 : $i] : (((setadjoin @ ((setadjoin @ X0) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X0) @ ((setadjoin @ X1) @ emptyset))) @ emptyset)))))),
21.55/3.21	  inference(rectify,[],[f140])).
21.55/3.21	thf(f140,axiom,(
21.55/3.21	  (kpair = (^[X1 : $i, X2 : $i] : (((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset)))))),
21.55/3.21	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',kpair)).
21.55/3.21	thf(f757,plain,(
21.55/3.21	  (cartprod = ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ dsetconstr)) @ ((bCOMB @ (bCOMB @ powerset)) @ ((bCOMB @ (bCOMB @ powerset)) @ binunion))))) @ ((bCOMB @ (bCOMB @ (bCOMB @ vSIGMA($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)))))))))),
21.55/3.21	  inference(cnf_transformation,[],[f449])).
21.55/3.21	thf(f449,plain,(
21.55/3.21	  (cartprod = ((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)))))))))),
21.55/3.21	  inference(fool_elimination,[],[f448])).
21.55/3.21	thf(f448,plain,(
21.55/3.21	  (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))))))))),
21.55/3.21	  inference(rectify,[],[f142])).
21.55/3.21	thf(f142,axiom,(
21.55/3.21	  (cartprod = (^[X3 : $i, X4 : $i] : (((dsetconstr @ (powerset @ (powerset @ ((binunion @ X3) @ X4)))) @ (^[X1 : $i] : (? [X2] : (? [X8] : ((((kpair @ X2) @ X8) = X1) & ((in @ X8) @ X4)) & ((in @ X2) @ X3))))))))),
21.55/3.21	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartprod)).
21.55/3.21	thf(f607,plain,(
21.55/3.21	  ($true = ((in @ sK2) @ ((cartprod @ sK0) @ sK1)))),
21.55/3.21	  inference(cnf_transformation,[],[f459])).
21.55/3.21	thf(f459,plain,(
21.55/3.21	  (! [X3] : (($true != ((in @ X3) @ sK0)) | ! [X4] : (($true != ((in @ X4) @ sK1)) | (((kpair @ X3) @ X4) != sK2))) & ($true = ((in @ sK2) @ ((cartprod @ sK0) @ sK1)))) & (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 = $true)),
21.55/3.21	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f457,f458])).
21.55/3.21	thf(f458,plain,(
21.55/3.21	  ? [X0,X1,X2] : (! [X3] : (($true != ((in @ X3) @ X0)) | ! [X4] : (($true != ((in @ X4) @ X1)) | (((kpair @ X3) @ X4) != X2))) & ($true = ((in @ X2) @ ((cartprod @ X0) @ X1)))) => (! [X3] : (($true != ((in @ X3) @ sK0)) | ! [X4] : (($true != ((in @ X4) @ sK1)) | (((kpair @ X3) @ X4) != sK2))) & ($true = ((in @ sK2) @ ((cartprod @ sK0) @ sK1))))),
21.55/3.21	  introduced(choice_axiom,[])).
21.55/3.21	thf(f457,plain,(
21.55/3.21	  ? [X0,X1,X2] : (! [X3] : (($true != ((in @ X3) @ X0)) | ! [X4] : (($true != ((in @ X4) @ X1)) | (((kpair @ X3) @ X4) != X2))) & ($true = ((in @ X2) @ ((cartprod @ X0) @ X1)))) & (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 = $true)),
21.55/3.21	  inference(flattening,[],[f456])).
21.55/3.21	thf(f456,plain,(
21.55/3.21	  ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : (! [X3] : (($true != ((in @ X3) @ X0)) | ! [X4] : (($true != ((in @ X4) @ X1)) | (((kpair @ X3) @ X4) != X2))) & ($true = ((in @ X2) @ ((cartprod @ X0) @ X1)))) & (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)),
21.55/3.21	  inference(ennf_transformation,[],[f157])).
21.55/3.21	thf(f157,plain,(
21.55/3.21	  ~((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 = $true) => ! [X0,X1,X2] : (($true = ((in @ X2) @ ((cartprod @ X0) @ X1))) => ? [X3] : (($true = ((in @ X3) @ X0)) & ? [X4] : (($true = ((in @ X4) @ X1)) & (((kpair @ X3) @ X4) = X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
21.55/3.21	  inference(fool_elimination,[],[f156])).
21.55/3.21	thf(f156,plain,(
21.55/3.21	  ~(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] : (((in @ X4) @ X1) & (((kpair @ X3) @ X4) = X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
21.55/3.21	  inference(rectify,[],[f154])).
21.55/3.21	thf(f154,negated_conjecture,(
21.55/3.21	  ~(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] : (((in @ X2) @ X4) & (((kpair @ X1) @ X2) = X10)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
21.55/3.21	  inference(negated_conjecture,[],[f153])).
21.55/3.21	thf(f153,conjecture,(
21.55/3.21	  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] : (((in @ X2) @ X4) & (((kpair @ X1) @ X2) = X10))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
21.55/3.21	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartprodmempair1)).
21.55/3.21	thf(f949,plain,(
21.55/3.21	  ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($false = ((in @ X1) @ ((dsetconstr @ X3) @ X2))) | ($true = (X2 @ X1))) )),
21.55/3.21	  inference(binary_proxy_clausification,[],[f948])).
21.55/3.21	thf(f948,plain,(
21.55/3.21	  ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = ((vIMP @ ((in @ X1) @ ((dsetconstr @ X3) @ X2))) @ (X2 @ X1)))) )),
21.55/3.21	  inference(combinator_demodulation,[],[f947])).
21.55/3.21	thf(f947,plain,(
21.55/3.21	  ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = (((cCOMB @ ((bCOMB @ vIMP) @ ((bCOMB @ (in @ X1)) @ ((cCOMB @ dsetconstr) @ X2)))) @ (X2 @ X1)) @ X3))) )),
21.55/3.21	  inference(pi_clausification,[],[f946])).
21.55/3.21	thf(f946,plain,(
21.55/3.21	  ( ! [X2 : $i > $o,X1 : $i] : (($true = (vPI($i) @ ((cCOMB @ ((bCOMB @ vIMP) @ ((bCOMB @ (in @ X1)) @ ((cCOMB @ dsetconstr) @ X2)))) @ (X2 @ X1))))) )),
21.55/3.21	  inference(combinator_demodulation,[],[f945])).
21.55/3.21	thf(f945,plain,(
21.55/3.21	  ( ! [X2 : $i > $o,X1 : $i] : (($true = (((bCOMB @ vPI($i)) @ ((sCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ ((bCOMB @ (bCOMB @ (in @ X1))) @ (cCOMB @ dsetconstr))))) @ ((cCOMB @ iCOMB) @ X1))) @ X2))) )),
21.55/3.21	  inference(pi_clausification,[],[f944])).
21.55/3.21	thf(f944,plain,(
21.55/3.21	  ( ! [X1 : $i] : (($true = (vPI($i > $o) @ ((bCOMB @ vPI($i)) @ ((sCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ ((bCOMB @ (bCOMB @ (in @ X1))) @ (cCOMB @ dsetconstr))))) @ ((cCOMB @ iCOMB) @ X1)))))) )),
21.55/3.21	  inference(combinator_demodulation,[],[f943])).
21.55/3.21	thf(f943,plain,(
21.55/3.21	  ( ! [X1 : $i] : (($true = (((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))) )),
21.55/3.21	  inference(pi_clausification,[],[f907])).
21.55/3.21	thf(f907,plain,(
21.55/3.21	  ($true = (vPI($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))))))),
21.55/3.21	  inference(definition_unfolding,[],[f752,f474])).
21.55/3.21	thf(f474,plain,(
21.55/3.21	  (dsetconstrER = $true)),
21.55/3.21	  inference(cnf_transformation,[],[f459])).
21.55/3.21	thf(f752,plain,(
21.55/3.21	  (dsetconstrER = (vPI($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))))))),
21.55/3.21	  inference(cnf_transformation,[],[f439])).
21.55/3.21	thf(f439,plain,(
21.55/3.21	  (dsetconstrER = (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))))))),
21.55/3.21	  inference(fool_elimination,[],[f438])).
21.55/3.21	thf(f438,plain,(
21.55/3.21	  (dsetconstrER = ! [X0,X1 : $i > $o,X2] : (((in @ X2) @ ((dsetconstr @ X0) @ (^[X3 : $i] : ((X1 @ X3))))) => (X1 @ X2)))),
21.55/3.21	  inference(rectify,[],[f16])).
21.55/3.21	thf(f16,axiom,(
21.55/3.21	  (dsetconstrER = ! [X3,X0 : $i > $o,X1] : (((in @ X1) @ ((dsetconstr @ X3) @ (^[X2 : $i] : ((X0 @ X2))))) => (X0 @ X1)))),
21.55/3.21	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrER)).
21.55/3.21	thf(f23461,plain,(
21.55/3.21	  (sK2 != ((setadjoin @ ((setadjoin @ sK143) @ emptyset)) @ ((setadjoin @ ((setadjoin @ sK143) @ ((setadjoin @ sK144) @ emptyset))) @ emptyset)))),
21.55/3.21	  inference(unit_resulting_resolution,[],[f23317,f23321,f2323])).
21.55/3.21	thf(f2323,plain,(
21.55/3.21	  ( ! [X4 : $i,X3 : $i] : (($true != ((in @ X4) @ sK1)) | ($true != ((in @ X3) @ sK0)) | (sK2 != ((setadjoin @ ((setadjoin @ X3) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X3) @ ((setadjoin @ X4) @ emptyset))) @ emptyset)))) )),
21.55/3.21	  inference(combinator_demodulation,[],[f762])).
21.55/3.21	thf(f762,plain,(
21.55/3.21	  ( ! [X4 : $i,X3 : $i] : (($true != ((in @ X3) @ sK0)) | ($true != ((in @ X4) @ sK1)) | (sK2 != ((((sCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ setadjoin) @ ((cCOMB @ setadjoin) @ emptyset)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ setadjoin)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ setadjoin)) @ ((cCOMB @ setadjoin) @ emptyset))))) @ emptyset)) @ X3) @ X4))) )),
21.55/3.21	  inference(definition_unfolding,[],[f608,f759])).
21.55/3.21	thf(f608,plain,(
21.55/3.21	  ( ! [X4 : $i,X3 : $i] : (($true != ((in @ X3) @ sK0)) | ($true != ((in @ X4) @ sK1)) | (((kpair @ X3) @ X4) != sK2)) )),
21.55/3.21	  inference(cnf_transformation,[],[f459])).
21.55/3.21	thf(f23321,plain,(
21.55/3.21	  ($true = ((in @ sK144) @ sK1))),
21.55/3.21	  inference(binary_proxy_clausification,[],[f23319])).
21.55/3.21	thf(f23317,plain,(
21.55/3.21	  ($true = ((in @ sK143) @ sK0))),
21.55/3.21	  inference(binary_proxy_clausification,[],[f23315])).
21.55/3.21	% SZS output end Proof for theBenchmark
21.55/3.21	% (16095)------------------------------
21.55/3.21	% (16095)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
21.55/3.21	% (16095)Termination reason: Refutation
21.55/3.21	
21.55/3.21	% (16095)Memory used [KB]: 11769
21.55/3.21	% (16095)Time elapsed: 2.786 s
21.55/3.21	% (16095)------------------------------
21.55/3.21	% (16095)------------------------------
21.55/3.21	% (16087)Success in time 2.836 s
21.55/3.22	EOF