0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.13	% Command    : run_vampire %s %d
0.13/0.34	% Computer   : n010.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   : 1200
0.13/0.34	% WCLimit    : 120
0.13/0.34	% DateTime   : Tue Jul 13 15:55:06 EDT 2021
0.13/0.35	% CPUTime    : 
0.13/0.35	This is a THF_ problem
0.13/0.35	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.13/0.35	Running in auto input_syntax mode. Trying TPTP
0.13/0.40	% (21322)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
0.13/0.40	% (21338)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
0.13/0.41	% (21316)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
0.13/0.41	% (21317)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
0.13/0.41	% (21318)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
0.13/0.41	% (21323)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
0.13/0.41	% (21315)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
0.13/0.41	% (21321)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
0.20/0.42	% (21337)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
0.20/0.42	% (21319)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
0.20/0.42	% (21330)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
0.20/0.42	% (21336)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
0.20/0.43	% (21328)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
0.20/0.43	% (21332)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
0.20/0.43	% (21343)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
0.20/0.43	% (21342)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
0.20/0.43	% (21344)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
0.20/0.43	% (21324)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
0.20/0.43	% (21341)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
0.20/0.43	% (21329)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
0.20/0.44	% (21320)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
0.20/0.44	% (21334)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
0.20/0.44	% (21333)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
0.20/0.44	% (21335)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
0.20/0.44	% (21340)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
0.20/0.45	% (21326)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
0.20/0.45	% (21325)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
0.20/0.45	% (21331)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
0.20/0.46	% (21327)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
0.20/0.46	% (21339)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
0.20/0.47	% (21340)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.48	% (21332)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.57	% (21321)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.57	% (21324)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.58	% (21331)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.58	% (21319)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.58	% (21328)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.58	% (21322)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.60	% (21344)First to succeed.
0.20/0.60	% (21344)Refutation found. Thanks to Tanya!
0.20/0.60	% SZS status Theorem for theBenchmark
0.20/0.60	% SZS output start Proof for theBenchmark
0.20/0.60	thf(type_def_6, type, >: ($tType * $tType) > $tType).
0.20/0.60	thf(func_def_7, type, in: $i > $i > $o).
0.20/0.60	thf(func_def_8, type, exu: ($i > $o) > $o).
0.20/0.60	thf(func_def_13, type, setadjoin: $i > $i > $i).
0.20/0.60	thf(func_def_15, type, powerset: $i > $i).
0.20/0.60	thf(func_def_17, type, setunion: $i > $i).
0.20/0.60	thf(func_def_26, type, descr: ($i > $o) > $i).
0.20/0.60	thf(func_def_28, type, dsetconstr: $i > ($i > $o) > $i).
0.20/0.60	thf(func_def_33, type, prop2set: $o > $i).
0.20/0.60	thf(func_def_43, type, nonempty: $i > $o).
0.20/0.60	thf(func_def_76, type, set2prop: $i > $o).
0.20/0.60	thf(func_def_95, type, subset: $i > $i > $o).
0.20/0.60	thf(func_def_96, type, disjoint: $i > $i > $o).
0.20/0.60	thf(func_def_97, type, setsmeet: $i > $i > $o).
0.20/0.60	thf(func_def_121, type, binunion: $i > $i > $i).
0.20/0.60	thf(func_def_129, type, binintersect: $i > $i > $i).
0.20/0.60	thf(func_def_135, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
0.20/0.60	thf(func_def_138, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
0.20/0.60	thf(func_def_139, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
0.20/0.60	thf(func_def_140, type, vNOT: $o > $o).
0.20/0.60	thf(func_def_141, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
0.20/0.60	thf(func_def_142, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
0.20/0.60	thf(func_def_143, type, vAND: $o > $o > $o).
0.20/0.60	thf(func_def_144, type, vIMP: $o > $o > $o).
0.20/0.60	thf(func_def_145, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)).
0.20/0.60	thf(func_def_146, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
0.20/0.60	thf(func_def_147, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)).
0.20/0.60	thf(func_def_152, type, sP4: $i > $i > $i > $o).
0.20/0.60	thf(func_def_153, type, sP5: $i > $i > $o).
0.20/0.60	thf(func_def_154, type, sP6: $i > $o).
0.20/0.60	thf(func_def_155, type, sP7: $i > $i > $o).
0.20/0.60	thf(func_def_156, type, sP8: $i > $i > $o).
0.20/0.60	thf(func_def_195, type, sK47: $i > $o).
0.20/0.60	thf(func_def_197, type, sK49: $i > $o).
0.20/0.60	thf(func_def_236, type, sK88: $i > $i > $i).
0.20/0.60	thf(func_def_243, type, sK95: $i > $i > $i).
0.20/0.60	thf(func_def_246, type, sK98: $i > $o).
0.20/0.60	thf(func_def_247, type, sK99: $i > $o).
0.20/0.60	thf(func_def_248, type, sK100: ($i > $o) > ($i > $o) > $i > $i > $i).
0.20/0.60	thf(func_def_249, type, sK101: ($i > $o) > ($i > $o) > $i > $i > $i).
0.20/0.60	thf(func_def_250, type, sK102: $i > $o).
0.20/0.60	thf(func_def_251, type, sK103: $i > $o).
0.20/0.60	thf(func_def_252, type, sK104: ($i > $o) > ($i > $o) > $i).
0.20/0.60	thf(func_def_253, type, sK105: ($i > $o) > ($i > $o) > $i).
0.20/0.60	thf(func_def_254, type, sK106: $i > $o).
0.20/0.60	thf(func_def_265, type, sK117: $i > $o).
0.20/0.60	thf(func_def_266, type, sK118: $i > $o).
0.20/0.60	thf(func_def_267, type, sK119: ($i > $o) > ($i > $o) > $i).
0.20/0.60	thf(func_def_268, type, sK120: ($i > $o) > ($i > $o) > $i).
0.20/0.60	thf(func_def_269, type, sK121: $i > $o).
0.20/0.60	thf(func_def_280, type, sK132: $i > $o).
0.20/0.60	thf(func_def_282, type, sK134: $i > ($i > $o) > $i).
0.20/0.60	thf(func_def_283, type, sK135: $i > $o).
0.20/0.60	thf(func_def_285, type, sK137: ($i > $o) > $i).
0.20/0.60	thf(func_def_286, type, sK138: ($i > $o) > $i).
0.20/0.60	thf(func_def_287, type, sK139: $i > $o).
0.20/0.60	thf(func_def_289, type, sK141: $i > ($i > $o) > $i).
0.20/0.60	thf(func_def_291, type, sK143: $i > $o).
0.20/0.60	thf(func_def_293, type, sK145: ($i > $o) > $i > $i).
0.20/0.60	thf(func_def_295, type, sK147: $i > $o).
0.20/0.60	thf(func_def_297, type, sK149: ($i > $o) > $i > $i).
0.20/0.60	thf(func_def_301, type, sK153: $i > $o).
0.20/0.60	thf(func_def_303, type, sK155: ($i > $o) > $i > $i).
0.20/0.60	thf(func_def_305, type, sK157: $i > $o).
0.20/0.60	thf(func_def_307, type, sK159: ($i > $o) > $i > $i).
0.20/0.60	thf(func_def_309, type, sK161: $i > $o).
0.20/0.60	thf(func_def_311, type, sK163: ($i > $o) > $i > $i).
0.20/0.60	thf(func_def_313, type, sK165: $i > $o).
0.20/0.60	thf(func_def_315, type, sK167: ($i > $o) > $i > $i).
0.20/0.60	thf(func_def_316, type, sK168: $i > $o).
0.20/0.60	thf(func_def_319, type, sK171: $i > $o).
0.20/0.60	thf(func_def_337, type, sK189: $i > $i).
0.20/0.60	thf(func_def_338, type, sK190: $i > $o).
0.20/0.60	thf(func_def_339, type, sK191: $i > $i).
0.20/0.60	thf(func_def_340, type, sK192: ($i > $o) > $i).
0.20/0.60	thf(func_def_346, type, sK198: $o > $i > $i > $i).
0.20/0.60	thf(func_def_357, type, sK209: $i > $i > $i).
0.20/0.60	thf(func_def_374, type, sK226: $i > $o).
0.20/0.60	thf(func_def_377, type, sK229: $i > $i).
0.20/0.60	thf(func_def_379, type, sK231: $i > $o).
0.20/0.60	thf(func_def_382, type, sK234: $i > $i).
0.20/0.60	thf(func_def_384, type, sK236: $i > $i).
0.20/0.60	thf(func_def_387, type, sK239: $i > $i > $i).
0.20/0.60	thf(func_def_388, type, sK240: $i > $i > $i).
0.20/0.60	thf(func_def_389, type, sK241: $i > $o).
0.20/0.60	thf(func_def_390, type, sK242: ($i > $o) > $i).
0.20/0.60	thf(func_def_397, type, sK249: $i > $o).
0.20/0.60	thf(func_def_398, type, sK250: $i > $i).
0.20/0.60	thf(func_def_399, type, sK251: ($i > $o) > $i).
0.20/0.60	thf(func_def_401, type, sK253: $i > $o).
0.20/0.60	thf(func_def_404, type, sK256: $i > $o).
0.20/0.60	thf(func_def_407, type, sK259: $i > $o).
0.20/0.60	thf(func_def_409, type, sK261: $i > $o).
0.20/0.60	thf(func_def_411, type, sK263: $i > $i).
0.20/0.60	thf(func_def_412, type, sK264: $i > $i).
0.20/0.60	thf(func_def_413, type, sK265: $i > $i).
0.20/0.60	thf(func_def_414, type, sK266: $i > $i > $i).
0.20/0.60	thf(func_def_415, type, sK267: $i > $i > $i).
0.20/0.60	thf(func_def_416, type, sK268: $i > $i > $i).
0.20/0.60	thf(func_def_417, type, sK269: $i > $i > $i).
0.20/0.60	thf(func_def_418, type, sK270: $i > $i > $i).
0.20/0.60	thf(func_def_419, type, sK271: $i > $i > $i > $i).
0.20/0.60	thf(func_def_420, type, sK272: $i > $i).
0.20/0.60	thf(func_def_421, type, sK273: $i > $i).
0.20/0.60	thf(func_def_422, type, sK274: $i > $i).
0.20/0.60	thf(func_def_423, type, sK275: $i > $i).
0.20/0.60	thf(func_def_424, type, sK276: $i > $i > $i).
0.20/0.60	thf(func_def_425, type, sK277: $i > $i > $i).
0.20/0.60	thf(func_def_426, type, sK278: $i > $i > $i).
0.20/0.60	thf(func_def_427, type, sK279: $i > $i > $i > $i).
0.20/0.60	thf(func_def_428, type, sK280: $i > $i > $i > $i).
0.20/0.60	thf(func_def_430, type, sK282: $i > $i).
0.20/0.60	thf(func_def_432, type, sK284: $i > $i).
0.20/0.60	thf(func_def_433, type, sK285: $i > $i > $o).
0.20/0.60	thf(func_def_435, type, sK287: $i > $i).
0.20/0.60	thf(func_def_436, type, sK288: $i > $i).
0.20/0.60	thf(func_def_437, type, sK289: $i > ($i > $i > $o) > $i).
0.20/0.60	thf(func_def_438, type, sK290: $i > $i > ($i > $i > $o) > $i).
0.20/0.60	thf(func_def_439, type, sK291: $i > ($i > $i > $o) > $i).
0.20/0.60	thf(func_def_442, type, sK294: $i > $i).
0.20/0.60	thf(func_def_447, type, sK299: $i > $i > $i).
0.20/0.60	thf(func_def_451, type, sK303: $i > $i > $i).
0.20/0.60	thf(func_def_458, type, sK310: $i > $i > $i).
0.20/0.60	thf(func_def_460, type, vOR: $o > $o > $o).
0.20/0.60	thf(func_def_461, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
0.20/0.60	thf(f2312,plain,(
0.20/0.60	  $false),
0.20/0.60	  inference(subsumption_resolution,[],[f2309,f1138])).
0.20/0.60	thf(f1138,plain,(
0.20/0.60	  ($true != ((subset @ sK13) @ sK12))),
0.20/0.60	  inference(cnf_transformation,[],[f499])).
0.20/0.60	thf(f499,plain,(
0.20/0.60	  (($true != ((subset @ sK13) @ sK12)) & (sK13 = ((binintersect @ sK12) @ sK13))) & (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 = $true)),
0.20/0.60	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f366,f498])).
0.20/0.60	thf(f498,plain,(
0.20/0.60	  ? [X0,X1] : (($true != ((subset @ X1) @ X0)) & (((binintersect @ X0) @ X1) = X1)) => (($true != ((subset @ sK13) @ sK12)) & (sK13 = ((binintersect @ sK12) @ sK13)))),
0.20/0.60	  introduced(choice_axiom,[])).
0.20/0.60	thf(f366,plain,(
0.20/0.60	  ? [X0,X1] : (($true != ((subset @ X1) @ X0)) & (((binintersect @ X0) @ X1) = X1)) & (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 = $true)),
0.20/0.60	  inference(flattening,[],[f365])).
0.20/0.60	thf(f365,plain,(
0.20/0.60	  (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (($true != ((subset @ X1) @ X0)) & (((binintersect @ X0) @ X1) = X1)) & (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)),
0.20/0.60	  inference(ennf_transformation,[],[f118])).
0.20/0.60	thf(f118,plain,(
0.20/0.60	  ~((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 = $true) => ! [X0,X1] : ((((binintersect @ X0) @ X1) = X1) => ($true = ((subset @ X1) @ X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
0.20/0.60	  inference(fool_elimination,[],[f117])).
0.20/0.60	thf(f117,plain,(
0.20/0.60	  ~(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 => ! [X0,X1] : ((((binintersect @ X0) @ X1) = X1) => ((subset @ X1) @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
0.20/0.60	  inference(rectify,[],[f115])).
0.20/0.60	thf(f115,negated_conjecture,(
0.20/0.60	  ~(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 => ! [X3,X4] : ((((binintersect @ X3) @ X4) = X4) => ((subset @ X4) @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
0.20/0.60	  inference(negated_conjecture,[],[f114])).
0.20/0.60	thf(f114,conjecture,(
0.20/0.60	  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 => ! [X3,X4] : ((((binintersect @ X3) @ X4) = X4) => ((subset @ X4) @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
0.20/0.60	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectSubset3)).
0.20/0.60	thf(f2309,plain,(
0.20/0.60	  ($true = ((subset @ sK13) @ sK12))),
0.20/0.60	  inference(superposition,[],[f2123,f1137])).
0.20/0.60	thf(f1137,plain,(
0.20/0.60	  (sK13 = ((binintersect @ sK12) @ sK13))),
0.20/0.60	  inference(cnf_transformation,[],[f499])).
0.20/0.60	thf(f2123,plain,(
0.20/0.60	  ( ! [X2 : $i,X3 : $i] : (($true = ((subset @ ((binintersect @ X2) @ X3)) @ X2))) )),
0.20/0.60	  inference(trivial_inequality_removal,[],[f1592])).
0.20/0.60	thf(f1592,plain,(
0.20/0.60	  ( ! [X2 : $i,X3 : $i] : (($true = ((subset @ ((binintersect @ X2) @ X3)) @ X2)) | ($true != $true)) )),
0.20/0.60	  inference(definition_unfolding,[],[f1142,f1135])).
0.20/0.60	thf(f1135,plain,(
0.20/0.60	  (binintersectLsub = $true)),
0.20/0.60	  inference(cnf_transformation,[],[f499])).
0.20/0.60	thf(f1142,plain,(
0.20/0.60	  ( ! [X2 : $i,X3 : $i] : (($true = ((subset @ ((binintersect @ X2) @ X3)) @ X2)) | (binintersectLsub != $true)) )),
0.20/0.60	  inference(cnf_transformation,[],[f507])).
0.20/0.60	thf(f507,plain,(
0.20/0.60	  ((binintersectLsub = $true) | ($true != ((subset @ ((binintersect @ sK16) @ sK17)) @ sK16))) & (! [X2,X3] : ($true = ((subset @ ((binintersect @ X2) @ X3)) @ X2)) | (binintersectLsub != $true))),
0.20/0.60	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f505,f506])).
0.20/0.60	thf(f506,plain,(
0.20/0.60	  ? [X0,X1] : ($true != ((subset @ ((binintersect @ X0) @ X1)) @ X0)) => ($true != ((subset @ ((binintersect @ sK16) @ sK17)) @ sK16))),
0.20/0.60	  introduced(choice_axiom,[])).
0.20/0.60	thf(f505,plain,(
0.20/0.60	  ((binintersectLsub = $true) | ? [X0,X1] : ($true != ((subset @ ((binintersect @ X0) @ X1)) @ X0))) & (! [X2,X3] : ($true = ((subset @ ((binintersect @ X2) @ X3)) @ X2)) | (binintersectLsub != $true))),
0.20/0.60	  inference(rectify,[],[f504])).
0.20/0.60	thf(f504,plain,(
0.20/0.60	  ((binintersectLsub = $true) | ? [X0,X1] : ($true != ((subset @ ((binintersect @ X0) @ X1)) @ X0))) & (! [X0,X1] : ($true = ((subset @ ((binintersect @ X0) @ X1)) @ X0)) | (binintersectLsub != $true))),
0.20/0.60	  inference(nnf_transformation,[],[f272])).
0.20/0.60	thf(f272,plain,(
0.20/0.60	  (binintersectLsub = $true) <=> ! [X0,X1] : ($true = ((subset @ ((binintersect @ X0) @ X1)) @ X0))),
0.20/0.60	  inference(fool_elimination,[],[f271])).
0.20/0.60	thf(f271,plain,(
0.20/0.60	  (binintersectLsub = ! [X0,X1] : ((subset @ ((binintersect @ X0) @ X1)) @ X0))),
0.20/0.60	  inference(rectify,[],[f112])).
0.20/0.60	thf(f112,axiom,(
0.20/0.60	  (binintersectLsub = ! [X3,X4] : ((subset @ ((binintersect @ X3) @ X4)) @ X3))),
0.20/0.60	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectLsub)).
0.20/0.60	% SZS output end Proof for theBenchmark
0.20/0.60	% (21344)------------------------------
0.20/0.60	% (21344)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.20/0.60	% (21344)Termination reason: Refutation
0.20/0.60	
0.20/0.60	% (21344)Memory used [KB]: 12153
0.20/0.60	% (21344)Time elapsed: 0.185 s
0.20/0.60	% (21344)------------------------------
0.20/0.60	% (21344)------------------------------
0.20/0.60	% (21314)Success in time 0.245 s
0.20/0.60	EOF