0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.15	% Command    : eprover-ho %s --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --free-numbers -auto-schedule -p --cpu-limit=%d --neg-ext=all --pos-ext=all --ext-sup-max-depth=2 --schedule-kind=CASC
0.16/0.37	% Computer   : n014.cluster.edu
0.16/0.37	% Model      : x86_64 x86_64
0.16/0.37	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.16/0.37	% Memory     : 8042.1875MB
0.16/0.37	% OS         : Linux 3.10.0-693.el7.x86_64
0.16/0.37	% CPULimit   : 1200
0.16/0.37	% WCLimit    : 120
0.16/0.37	% DateTime   : Tue Jul 13 15:14:49 EDT 2021
0.16/0.37	% CPUTime    : 
0.16/0.37	% Number of cores: 8
0.16/0.37	% Python version: Python 3.6.8
0.16/0.37	# Version: 2.6rc1-ho
0.16/0.39	# No SInE strategy applied
0.16/0.39	# Trying AutoSched0 for 59 seconds
0.58/0.75	# AutoSched0-Mode selected heuristic G_E___303_C18_F1_URBAN_S0Y
0.58/0.75	# and selection function SelectMaxLComplexAvoidPosPred.
0.58/0.75	#
0.58/0.75	# Preprocessing time       : 0.132 s
0.58/0.75	
0.58/0.75	# Proof found!
0.58/0.75	# SZS status Theorem
0.58/0.75	# SZS output start CNFRefutation
0.58/0.75	thf(replAx, axiom, (replAx<=>![X6:$i > $i > $o, X4:$i]:(![X2:$i]:(in @ X2 @ X4=>exu @ (^[X3:$i]:X6 @ X2 @ X3))=>?[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', replAx)).
0.58/0.75	thf(exu, axiom, (exu)=(^[X1:$i > $o]:?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exu)).
0.58/0.75	thf(descrp, axiom, (descrp<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>X1 @ (descr @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', descrp)).
0.58/0.75	thf(exuE1, axiom, (exuE1<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE1)).
0.58/0.75	thf(exuE3e, axiom, (exuE3e<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:X1 @ X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE3e)).
0.58/0.75	thf(nonemptyE1, axiom, (nonemptyE1<=>![X4:$i]:(nonempty @ X4=>?[X2:$i]:in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyE1)).
0.58/0.75	thf(nonempty, axiom, (nonempty)=(^[X2:$i]:(X2)!=(emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonempty)).
0.58/0.75	thf(nonemptyI, axiom, (nonemptyI<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyI)).
0.58/0.75	thf(nonemptyI1, axiom, (nonemptyI1<=>![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>nonempty @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyI1)).
0.58/0.75	thf(exuE2, axiom, (exuE2<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE2)).
0.58/0.75	thf(nonemptyImpWitness, axiom, (nonemptyImpWitness<=>![X4:$i]:(nonempty @ X4=>?[X2:$i]:(in @ X2 @ X4&$true))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyImpWitness)).
0.58/0.75	thf(exuI1, axiom, (exuI1<=>![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>exu @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuI1)).
0.58/0.75	thf(exuI3, axiom, (exuI3<=>![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>exu @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuI3)).
0.58/0.75	thf(exuI2, axiom, (exuI2<=>![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>exu @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuI2)).
0.58/0.75	thf(exuE3u, axiom, (exuE3u<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE3u)).
0.58/0.75	thf(exu__Cong, axiom, (exu__Cong<=>![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(exu @ (^[X2:$i]:X1 @ X2)<=>exu @ (^[X2:$i]:X17 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exu__Cong)).
0.58/0.75	thf(exuEu, axiom, (exuEu<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuEu)).
0.58/0.75	thf(descr__Cong, axiom, (descr__Cong<=>![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(exu @ (^[X2:$i]:X1 @ X2)=>(exu @ (^[X2:$i]:X17 @ X2)=>(descr @ (^[X2:$i]:X1 @ X2))=(descr @ (^[X2:$i]:X17 @ X2)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', descr__Cong)).
0.58/0.75	thf(ex1E1, axiom, (ex1E1<=>![X4:$i, X1:$i > $o]:(ex1 @ X4 @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:(in @ X2 @ X4&X1 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ex1E1)).
0.58/0.75	thf(ex1, axiom, (ex1)=(^[X4:$i, X1:$i > $o]:singleton @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ex1)).
0.58/0.75	thf(ex1I, axiom, (ex1I<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(![X3:$i]:(in @ X3 @ X4=>(X1 @ X3=>(X3)=(X2)))=>ex1 @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ex1I)).
0.58/0.75	thf(ex1I2, axiom, (ex1I2<=>![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))))=>(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>ex1 @ X4 @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ex1I2)).
0.58/0.75	thf(setOfPairsIsBReln, axiom, (setOfPairsIsBReln<=>![X4:$i, X5:$i, X24:$i > $i > $o]:breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:X24 @ X2 @ X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setOfPairsIsBReln)).
0.58/0.75	thf(breln, axiom, (breln)=(^[X4:$i, X5:$i, X7:$i]:subset @ X7 @ (cartprod @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln)).
0.58/0.75	thf(brelnall1, axiom, (brelnall1<=>![X4:$i, X5:$i, X33:$i]:(breln @ X4 @ X5 @ X33=>![X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>X1 @ (kpair @ X2 @ X3))))=>![X2:$i]:(in @ X2 @ X33=>X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', brelnall1)).
0.58/0.75	thf(brelnall2, axiom, (brelnall2<=>![X4:$i, X5:$i, X33:$i]:(breln @ X4 @ X5 @ X33=>![X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>X1 @ (kpair @ X2 @ X3))))=>![X2:$i]:(in @ X2 @ X33=>X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', brelnall2)).
0.58/0.75	thf(ex1E2, axiom, (ex1E2<=>![X4:$i, X1:$i > $o]:(ex1 @ X4 @ (^[X2:$i]:X1 @ X2)=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ex1E2)).
0.58/0.75	thf(subbreln, axiom, (subbreln<=>![X4:$i, X5:$i, X33:$i]:(breln @ X4 @ X5 @ X33=>![X35:$i]:(breln @ X4 @ X5 @ X35=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>in @ (kpair @ X2 @ X3) @ X35)))=>subset @ X33 @ X35)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subbreln)).
0.58/0.75	thf(eqbreln, axiom, (eqbreln<=>![X4:$i, X5:$i, X33:$i]:(breln @ X4 @ X5 @ X33=>![X35:$i]:(breln @ X4 @ X5 @ X35=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>in @ (kpair @ X2 @ X3) @ X35)))=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X35=>in @ (kpair @ X2 @ X3) @ X33)))=>(X33)=(X35)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqbreln)).
0.58/0.75	thf(complementImpComplementIntersect, conjecture, ((emptysetAx=>((powersetAx=>((((((foundationAx=>((descrp=>(((dsetconstrER=>(exuE1=>(((emptysetimpfalse=>((exuE3e=>(setext=>(emptyI=>(noeltsimpempty=>((nonemptyE1=>(nonemptyI=>((setadjoinIL=>((setadjoinIR=>((((powersetI=>(emptyinPowerset=>(emptyInPowerset=>(((((exuE2=>(nonemptyImpWitness=>(uniqinunit=>(notinsingleton=>(eqinunit=>(singletonsswitch=>(((upairsetIR=>((vacuousDall=>(quantDeMorgan1=>(quantDeMorgan2=>((quantDeMorgan4=>(((notdexE=>((((exuI2=>((((exu__Cong=>(emptyset__Cong=>(setadjoin__Cong=>(((omega__Cong=>(((dsetconstr__Cong=>(((eqimpsubset1=>(subsetI2=>(emptysetsubset=>((((notequalI1=>(notequalI2=>(subsetRefl=>(subsetTrans=>(setadjoinSub=>(setadjoinSub2=>(((subsetemptysetimpeq=>(((((sepInPowerset=>(((upairset2IR=>(binunionIR=>(binunionEcases=>(binunionE=>(binunionLsub=>(binunionRsub=>(((((binintersectSubset2=>(((((binintersectSubset4=>(binintersectSubset1=>(bs114d=>(setminusI=>((setminusER=>(setminusSubset2=>(((setminusILneg=>((setminusLsub=>(setminusSubset1=>(symdiffE=>(((((secondinupair=>((((kpairp=>(singletonsubset=>((((upairsubunion=>((ubforcartprodlem1=>((((cartprodmempair1=>(cartprodmempair=>((((setunionsingleton=>((ex1E1=>(ex1I=>((((((kfstpairEq=>(cartprodfstin=>((setukpairinjL=>((((((setukpairinjR=>(((kpairsurjEq=>((((cartprodmempaircEq=>((((dpsetconstrI=>((setOfPairsIsBReln=>(dpsetconstrERa=>((((funcImageSingleton=>(apProp=>((infuncsetfunc=>(ap2p=>((((lam2p=>(brelnall1=>((ex1E2=>((funcGraphProp3=>(funcGraphProp2=>(funcextLem=>(((eqbreln=>(funcext=>(((ap2apEq2=>((eta1=>((beta2=>(eta2=>(((iftrueProp1=>(iftrueProp2=>(ifSingleton=>(ifp=>(theeq=>(iftrue=>(((binintersectT_lem=>(binunionT_lem=>(((complementT_lem=>((((powersetTE1=>((complementTE1=>((binintersectTERcontra=>(contrasubsetT=>((contrasubsetT2=>(contrasubsetT3=>((doubleComplementE1=>((doubleComplementSub2=>((complementTnotintersectT=>![X4:$i, X21:$i]:(![X48:$i]:(![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))<=in @ X2 @ (setminus @ X4 @ X21)))<=in @ X48 @ (powerset @ X4))<=in @ X21 @ (powerset @ X4)))<=doubleComplementEq))<=doubleComplementSub1))<=doubleComplementI1)))<=contrasubsetT1)))<=binintersectTELcontra))<=complementTI1))<=powersetTI1)<=subsetTI)<=setextT))<=setminusT_lem)<=powersetT_lem)))<=iftrueorfalse)<=iffalse)))))))<=iffalseProp2)<=iffalseProp1)))<=lam2lamEq))<=beta1))<=ap2apEq1)<=funcext2)))<=subbreln)<=funcGraphProp4))))<=funcGraphProp1))<=brelnall2)))<=lamp)<=lamProp)<=funcinfuncset)))<=app)))<=dpsetconstrER)<=dpsetconstrEL2)<=dpsetconstrEL1)))<=dpsetconstrSub))<=cartprodpairsurjEq)<=cartprodsndpairEq)<=cartprodfstpairEq))<=cartprodpairmemER)<=cartprodpairmemEL)<=cartprodsndin))<=ksndpairEq)<=ksndsingleton))<=setukpairinjR2)<=upairequniteq)<=setukpairinjR1)<=setukpairinjR12)<=setukpairinjR11))<=setukpairinjL2)))<=theprop)<=kfstsingleton)<=setukpairinjL1)<=singletonsuniq)<=ex1I2)))<=singletonprop))<=setunionsingleton2)<=setunionsingleton1)<=setunionE2)))<=cartprodpairin)<=ubforcartprodlem3)<=ubforcartprodlem2))<=upairinpowunion))<=upairset2E)<=singletoninpowunion)<=singletoninpowerset)))<=kpairiskpair)<=setukpairIR)<=setukpairIL))<=symdiffIneg2)<=symdiffIneg1)<=symdiffI2)<=symdiffI1))))<=setminusIRneg))<=setminusELneg)<=setminusERneg)))<=setminusEL)))))<=binintersectRsub)<=disjointsetsI1)<=binintersectER)<=binintersectSubset3))<=binintersectLsub)<=binintersectEL)<=binintersectSubset5)<=binintersectI)))))))<=binunionIL)<=sepSubset))<=powersetsubset)<=inPowerset)<=powersetE1)<=powersetI1))<=setextsub)<=subset2powerset)))))))<=notsubsetI)<=subsetE2)<=subsetE))))<=eqimpsubset2)<=subsetI1))<=descr__Cong)<=exuEu))<=setunion__Cong)<=powerset__Cong))))<=exuE3u)<=in__Cong)<=inCongP))<=exuI3)<=exuI1)<=notdallE))<=prop2set2propI)<=prop2setI))<=quantDeMorgan3))))<=emptyE1))<=upairsetIL)<=upairsetE)))))))<=subPowSU)<=setunionE)<=setunionI)<=powersetE))))<=setoftrueEq)<=setadjoinOr)<=setadjoinE))<=emptyinunitempty))<=nonemptyI1)))<=setbeta)))))<=notinemptyset))<=emptysetE)<=prop2setE)))<=dsetconstrEL)<=dsetconstrI))<=wellorderingAx))<=replAx)<=omegaIndAx)<=omegaSAx)<=omega0Ax)<=setunionAx))<=setadjoinAx))<=setextAx), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementImpComplementIntersect)).
0.58/0.75	thf(setextAx, axiom, (setextAx<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4<=>in @ X2 @ X5)=>(X4)=(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setextAx)).
0.58/0.75	thf(emptysetAx, axiom, (emptysetAx<=>![X2:$i]:~(in @ X2 @ emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetAx)).
0.58/0.75	thf(setadjoinAx, axiom, (setadjoinAx<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)<=>((X3)=(X2)|in @ X3 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinAx)).
0.58/0.75	thf(powersetAx, axiom, (powersetAx<=>![X4:$i, X5:$i]:(in @ X5 @ (powerset @ X4)<=>![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetAx)).
0.58/0.75	thf(setunionAx, axiom, (setunionAx<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)<=>?[X5:$i]:(in @ X2 @ X5&in @ X5 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionAx)).
0.58/0.75	thf(omega0Ax, axiom, (omega0Ax<=>in @ emptyset @ omega), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omega0Ax)).
0.58/0.75	thf(omegaSAx, axiom, (omegaSAx<=>![X2:$i]:(in @ X2 @ omega=>in @ (setadjoin @ X2 @ X2) @ omega)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omegaSAx)).
0.58/0.75	thf(omegaIndAx, axiom, (omegaIndAx<=>![X4:$i]:((in @ emptyset @ X4&![X2:$i]:((in @ X2 @ omega&in @ X2 @ X4)=>in @ (setadjoin @ X2 @ X2) @ X4))=>![X2:$i]:(in @ X2 @ omega=>in @ X2 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omegaIndAx)).
0.58/0.75	thf(foundationAx, axiom, (foundationAx<=>![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>?[X5:$i]:(in @ X5 @ X4&~(?[X2:$i]:(in @ X2 @ X5&in @ X2 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', foundationAx)).
0.58/0.75	thf(wellorderingAx, axiom, (wellorderingAx<=>![X4:$i]:?[X5:$i]:(((![X7:$i]:(in @ X7 @ X5=>![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X4))&![X2:$i, X3:$i]:((in @ X2 @ X4&in @ X3 @ X4)=>(![X7:$i]:(in @ X7 @ X5=>(in @ X2 @ X7<=>in @ X3 @ X7))=>(X2)=(X3))))&![X7:$i, X8:$i]:((in @ X7 @ X5&in @ X8 @ X5)=>(![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X8)|![X2:$i]:(in @ X2 @ X8=>in @ X2 @ X7))))&![X7:$i]:((![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X4)&?[X2:$i]:in @ X2 @ X7)=>?[X8:$i, X2:$i]:(((in @ X8 @ X5&in @ X2 @ X7)&~(?[X3:$i]:(in @ X3 @ X8&in @ X3 @ X7)))&![X9:$i]:(in @ X9 @ X5=>(![X3:$i]:(in @ X3 @ X9=>in @ X3 @ X8)|in @ X2 @ X9)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', wellorderingAx)).
0.58/0.75	thf(dsetconstrI, axiom, (dsetconstrI<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrI)).
0.58/0.75	thf(dsetconstrEL, axiom, (dsetconstrEL<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))=>in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrEL)).
0.58/0.75	thf(dsetconstrER, axiom, (dsetconstrER<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))=>X1 @ X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrER)).
0.58/0.75	thf(prop2setE, axiom, (prop2setE<=>![X10:$o, X2:$i]:(in @ X2 @ (prop2set @ (X10))=>X10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2setE)).
0.58/0.75	thf(emptysetE, axiom, (emptysetE<=>![X2:$i]:(in @ X2 @ emptyset=>![X11:$o]:X11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetE)).
0.58/0.75	thf(emptysetimpfalse, axiom, (emptysetimpfalse<=>![X2:$i]:(in @ X2 @ emptyset=>~$true)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetimpfalse)).
0.58/0.75	thf(notinemptyset, axiom, (notinemptyset<=>![X2:$i]:~(in @ X2 @ emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notinemptyset)).
0.58/0.75	thf(setext, axiom, (setext<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>(X4)=(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setext)).
0.58/0.75	thf(emptyI, axiom, (emptyI<=>![X4:$i]:(![X2:$i]:~(in @ X2 @ X4)=>(X4)=(emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyI)).
0.58/0.75	thf(noeltsimpempty, axiom, (noeltsimpempty<=>![X4:$i]:(![X2:$i]:~(in @ X2 @ X4)=>(X4)=(emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', noeltsimpempty)).
0.58/0.75	thf(setbeta, axiom, (setbeta<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))<=>X1 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setbeta)).
0.58/0.75	thf(setadjoinIL, axiom, (setadjoinIL<=>![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinIL)).
0.58/0.75	thf(emptyinunitempty, axiom, (emptyinunitempty<=>in @ emptyset @ (setadjoin @ emptyset @ emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyinunitempty)).
0.58/0.75	thf(setadjoinIR, axiom, (setadjoinIR<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ X4=>in @ X3 @ (setadjoin @ X2 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinIR)).
0.58/0.75	thf(setadjoinE, axiom, (setadjoinE<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>![X12:$o]:(((X3)=(X2)=>X12)=>((in @ X3 @ X4=>X12)=>X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinE)).
0.58/0.75	thf(setadjoinOr, axiom, (setadjoinOr<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>((X3)=(X2)|in @ X3 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinOr)).
0.58/0.75	thf(setoftrueEq, axiom, (setoftrueEq<=>![X4:$i]:(dsetconstr @ X4 @ (^[X2:$i]:$true))=(X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setoftrueEq)).
0.58/0.75	thf(powersetI, axiom, (powersetI<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>in @ X5 @ (powerset @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetI)).
0.58/0.75	thf(emptyinPowerset, axiom, (emptyinPowerset<=>![X4:$i]:in @ emptyset @ (powerset @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyinPowerset)).
0.58/0.75	thf(emptyInPowerset, axiom, (emptyInPowerset<=>![X4:$i]:in @ emptyset @ (powerset @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyInPowerset)).
0.58/0.75	thf(powersetE, axiom, (powersetE<=>![X4:$i, X5:$i, X2:$i]:(in @ X5 @ (powerset @ X4)=>(in @ X2 @ X5=>in @ X2 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetE)).
0.58/0.75	thf(setunionI, axiom, (setunionI<=>![X4:$i, X2:$i, X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>in @ X2 @ (setunion @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionI)).
0.58/0.75	thf(setunionE, axiom, (setunionE<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)=>![X13:$o]:(![X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>X13))=>X13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionE)).
0.58/0.75	thf(subPowSU, axiom, (subPowSU<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (powerset @ (setunion @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subPowSU)).
0.58/0.75	thf(uniqinunit, axiom, (uniqinunit<=>![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', uniqinunit)).
0.58/0.75	thf(notinsingleton, axiom, (notinsingleton<=>![X2:$i, X3:$i]:((X2)!=(X3)=>~(in @ X3 @ (setadjoin @ X2 @ emptyset)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notinsingleton)).
0.58/0.75	thf(eqinunit, axiom, (eqinunit<=>![X2:$i, X3:$i]:((X2)=(X3)=>in @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqinunit)).
0.58/0.75	thf(singletonsswitch, axiom, (singletonsswitch<=>![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>in @ X3 @ (setadjoin @ X2 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletonsswitch)).
0.58/0.75	thf(upairsetE, axiom, (upairsetE<=>![X2:$i, X3:$i, X14:$i]:(in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>((X14)=(X2)|(X14)=(X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsetE)).
0.58/0.75	thf(upairsetIL, axiom, (upairsetIL<=>![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsetIL)).
0.58/0.75	thf(upairsetIR, axiom, (upairsetIR<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsetIR)).
0.58/0.75	thf(emptyE1, axiom, (emptyE1<=>![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>((dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))=(emptyset)=>~$true))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyE1)).
0.58/0.75	thf(vacuousDall, axiom, (vacuousDall<=>![X1:$i > $o, X2:$i]:(in @ X2 @ emptyset=>X1 @ X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', vacuousDall)).
0.58/0.75	thf(quantDeMorgan1, axiom, (quantDeMorgan1<=>![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan1)).
0.58/0.75	thf(quantDeMorgan2, axiom, (quantDeMorgan2<=>![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2))=>~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan2)).
0.58/0.75	thf(quantDeMorgan3, axiom, (quantDeMorgan3<=>![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan3)).
0.58/0.75	thf(quantDeMorgan4, axiom, (quantDeMorgan4<=>![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2))=>~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan4)).
0.58/0.75	thf(prop2setI, axiom, (prop2setI<=>![X15:$o]:(X15=>in @ emptyset @ (prop2set @ (X15)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2setI)).
0.58/0.75	thf(prop2set2propI, axiom, (prop2set2propI<=>![X16:$o]:(X16=>set2prop @ (prop2set @ (X16)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2set2propI)).
0.58/0.75	thf(notdexE, axiom, (notdexE<=>![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notdexE)).
0.58/0.75	thf(notdallE, axiom, (notdallE<=>![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notdallE)).
0.58/0.75	thf(inCongP, axiom, (inCongP<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4=>in @ X3 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', inCongP)).
0.58/0.75	thf(in__Cong, axiom, (in__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4<=>in @ X3 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', in__Cong)).
0.58/0.75	thf(emptyset__Cong, axiom, (emptyset__Cong<=>(emptyset)=(emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyset__Cong)).
0.58/0.75	thf(setadjoin__Cong, axiom, (setadjoin__Cong<=>![X2:$i, X3:$i]:((X2)=(X3)=>![X14:$i, X18:$i]:((X14)=(X18)=>(setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoin__Cong)).
0.58/0.75	thf(powerset__Cong, axiom, (powerset__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>(powerset @ X4)=(powerset @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powerset__Cong)).
0.58/0.75	thf(setunion__Cong, axiom, (setunion__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>(setunion @ X4)=(setunion @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunion__Cong)).
0.58/0.75	thf(omega__Cong, axiom, (omega__Cong<=>(omega)=(omega)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omega__Cong)).
0.58/0.75	thf(dsetconstr__Cong, axiom, (dsetconstr__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X1:$i > $o, X17:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))))=>(dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))=(dsetconstr @ X5 @ (^[X2:$i]:X17 @ X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstr__Cong)).
0.58/0.75	thf(subsetI1, axiom, (subsetI1<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetI1)).
0.58/0.75	thf(eqimpsubset2, axiom, (eqimpsubset2<=>![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X5 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqimpsubset2)).
0.58/0.75	thf(eqimpsubset1, axiom, (eqimpsubset1<=>![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqimpsubset1)).
0.58/0.75	thf(subsetI2, axiom, (subsetI2<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetI2)).
0.58/0.75	thf(emptysetsubset, axiom, (emptysetsubset<=>![X4:$i]:subset @ emptyset @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetsubset)).
0.58/0.75	thf(subsetE, axiom, (subsetE<=>![X4:$i, X5:$i, X2:$i]:(subset @ X4 @ X5=>(in @ X2 @ X4=>in @ X2 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetE)).
0.58/0.75	thf(subsetE2, axiom, (subsetE2<=>![X4:$i, X5:$i, X2:$i]:(subset @ X4 @ X5=>(~(in @ X2 @ X5)=>~(in @ X2 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetE2)).
0.58/0.75	thf(notsubsetI, axiom, (notsubsetI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>~(subset @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notsubsetI)).
0.58/0.75	thf(notequalI1, axiom, (notequalI1<=>![X4:$i, X5:$i]:(~(subset @ X4 @ X5)=>(X4)!=(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notequalI1)).
0.58/0.75	thf(notequalI2, axiom, (notequalI2<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>(X4)!=(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notequalI2)).
0.58/0.75	thf(subsetRefl, axiom, (subsetRefl<=>![X4:$i]:subset @ X4 @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetRefl)).
0.58/0.75	thf(subsetTrans, axiom, (subsetTrans<=>![X4:$i, X5:$i, X7:$i]:(subset @ X4 @ X5=>(subset @ X5 @ X7=>subset @ X4 @ X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetTrans)).
0.58/0.75	thf(setadjoinSub, axiom, (setadjoinSub<=>![X2:$i, X4:$i]:subset @ X4 @ (setadjoin @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinSub)).
0.58/0.75	thf(setadjoinSub2, axiom, (setadjoinSub2<=>![X4:$i, X2:$i, X5:$i]:(subset @ X4 @ X5=>subset @ X4 @ (setadjoin @ X2 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinSub2)).
0.58/0.75	thf(subset2powerset, axiom, (subset2powerset<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>in @ X4 @ (powerset @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset2powerset)).
0.58/0.75	thf(setextsub, axiom, (setextsub<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(subset @ X5 @ X4=>(X4)=(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setextsub)).
0.58/0.75	thf(subsetemptysetimpeq, axiom, (subsetemptysetimpeq<=>![X4:$i]:(subset @ X4 @ emptyset=>(X4)=(emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetemptysetimpeq)).
0.58/0.75	thf(powersetI1, axiom, (powersetI1<=>![X4:$i, X5:$i]:(subset @ X5 @ X4=>in @ X5 @ (powerset @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetI1)).
0.58/0.75	thf(powersetE1, axiom, (powersetE1<=>![X4:$i, X5:$i]:(in @ X5 @ (powerset @ X4)=>subset @ X5 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetE1)).
0.58/0.75	thf(inPowerset, axiom, (inPowerset<=>![X4:$i]:in @ X4 @ (powerset @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', inPowerset)).
0.58/0.75	thf(powersetsubset, axiom, (powersetsubset<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>subset @ (powerset @ X4) @ (powerset @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetsubset)).
0.58/0.75	thf(sepInPowerset, axiom, (sepInPowerset<=>![X4:$i, X1:$i > $o]:in @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2)) @ (powerset @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sepInPowerset)).
0.58/0.75	thf(sepSubset, axiom, (sepSubset<=>![X4:$i, X1:$i > $o]:subset @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2)) @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sepSubset)).
0.58/0.75	thf(binunionIL, axiom, (binunionIL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (binunion @ X4 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionIL)).
0.58/0.75	thf(upairset2IR, axiom, (upairset2IR<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairset2IR)).
0.58/0.75	thf(binunionIR, axiom, (binunionIR<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X5=>in @ X2 @ (binunion @ X4 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionIR)).
0.58/0.75	thf(binunionEcases, axiom, (binunionEcases<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(in @ X2 @ (binunion @ X4 @ X5)=>((in @ X2 @ X4=>X19)=>((in @ X2 @ X5=>X19)=>X19)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionEcases)).
0.58/0.75	thf(binunionE, axiom, (binunionE<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binunion @ X4 @ X5)=>(in @ X2 @ X4|in @ X2 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionE)).
0.58/0.75	thf(binunionLsub, axiom, (binunionLsub<=>![X4:$i, X5:$i]:subset @ X4 @ (binunion @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionLsub)).
0.58/0.75	thf(binunionRsub, axiom, (binunionRsub<=>![X4:$i, X5:$i]:subset @ X5 @ (binunion @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionRsub)).
0.58/0.75	thf(binintersectI, axiom, (binintersectI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X5=>in @ X2 @ (binintersect @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectI)).
0.58/0.75	thf(binintersectSubset5, axiom, (binintersectSubset5<=>![X4:$i, X5:$i, X7:$i]:(subset @ X7 @ X4=>(subset @ X7 @ X5=>subset @ X7 @ (binintersect @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset5)).
0.58/0.75	thf(binintersectEL, axiom, (binintersectEL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binintersect @ X4 @ X5)=>in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectEL)).
0.58/0.75	thf(binintersectLsub, axiom, (binintersectLsub<=>![X4:$i, X5:$i]:subset @ (binintersect @ X4 @ X5) @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectLsub)).
0.58/0.75	thf(binintersectSubset2, axiom, (binintersectSubset2<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(binintersect @ X4 @ X5)=(X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset2)).
0.58/0.75	thf(binintersectSubset3, axiom, (binintersectSubset3<=>![X4:$i, X5:$i]:((binintersect @ X4 @ X5)=(X5)=>subset @ X5 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset3)).
0.58/0.75	thf(binintersectER, axiom, (binintersectER<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binintersect @ X4 @ X5)=>in @ X2 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectER)).
0.58/0.75	thf(disjointsetsI1, axiom, (disjointsetsI1<=>![X4:$i, X5:$i]:(~(?[X2:$i]:(in @ X2 @ X4&in @ X2 @ X5))=>(binintersect @ X4 @ X5)=(emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', disjointsetsI1)).
0.58/0.75	thf(binintersectRsub, axiom, (binintersectRsub<=>![X4:$i, X5:$i]:subset @ (binintersect @ X4 @ X5) @ X5), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectRsub)).
0.58/0.75	thf(binintersectSubset4, axiom, (binintersectSubset4<=>![X4:$i, X5:$i]:(subset @ X5 @ X4=>(binintersect @ X4 @ X5)=(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset4)).
0.58/0.75	thf(binintersectSubset1, axiom, (binintersectSubset1<=>![X4:$i, X5:$i]:((binintersect @ X4 @ X5)=(X4)=>subset @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset1)).
0.58/0.75	thf(bs114d, axiom, (bs114d<=>![X4:$i, X5:$i, X7:$i]:(binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', bs114d)).
0.58/0.75	thf(setminusI, axiom, (setminusI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusI)).
0.58/0.75	thf(setminusEL, axiom, (setminusEL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (setminus @ X4 @ X5)=>in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusEL)).
0.58/0.75	thf(setminusER, axiom, (setminusER<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (setminus @ X4 @ X5)=>~(in @ X2 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusER)).
0.58/0.75	thf(setminusSubset2, axiom, (setminusSubset2<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(setminus @ X4 @ X5)=(emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusSubset2)).
0.58/0.75	thf(setminusERneg, axiom, (setminusERneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4=>in @ X2 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusERneg)).
0.58/0.75	thf(setminusELneg, axiom, (setminusELneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ (setminus @ X4 @ X5))=>(~(in @ X2 @ X5)=>~(in @ X2 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusELneg)).
0.58/0.75	thf(setminusILneg, axiom, (setminusILneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>~(in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusILneg)).
0.58/0.75	thf(setminusIRneg, axiom, (setminusIRneg<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X5=>~(in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusIRneg)).
0.58/0.75	thf(setminusLsub, axiom, (setminusLsub<=>![X4:$i, X5:$i]:subset @ (setminus @ X4 @ X5) @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusLsub)).
0.58/0.75	thf(setminusSubset1, axiom, (setminusSubset1<=>![X4:$i, X5:$i]:((setminus @ X4 @ X5)=(emptyset)=>subset @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusSubset1)).
0.58/0.75	thf(symdiffE, axiom, (symdiffE<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (symdiff @ X4 @ X5)=>![X20:$o]:((in @ X2 @ X4=>(~(in @ X2 @ X5)=>X20))=>((~(in @ X2 @ X4)=>(in @ X2 @ X5=>X20))=>X20)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffE)).
0.58/0.75	thf(symdiffI1, axiom, (symdiffI1<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>in @ X2 @ (symdiff @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffI1)).
0.58/0.75	thf(symdiffI2, axiom, (symdiffI2<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>(in @ X2 @ X5=>in @ X2 @ (symdiff @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffI2)).
0.58/0.75	thf(symdiffIneg1, axiom, (symdiffIneg1<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X5=>~(in @ X2 @ (symdiff @ X4 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffIneg1)).
0.58/0.75	thf(symdiffIneg2, axiom, (symdiffIneg2<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>(~(in @ X2 @ X5)=>~(in @ X2 @ (symdiff @ X4 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffIneg2)).
0.58/0.75	thf(secondinupair, axiom, (secondinupair<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', secondinupair)).
0.58/0.75	thf(setukpairIL, axiom, (setukpairIL<=>![X2:$i, X3:$i]:in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairIL)).
0.58/0.75	thf(setukpairIR, axiom, (setukpairIR<=>![X2:$i, X3:$i]:in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairIR)).
0.58/0.75	thf(kpairiskpair, axiom, (kpairiskpair<=>![X2:$i, X3:$i]:iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kpairiskpair)).
0.58/0.75	thf(kpairp, axiom, (kpairp<=>![X2:$i, X3:$i]:iskpair @ (kpair @ X2 @ X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kpairp)).
0.58/0.75	thf(singletonsubset, axiom, (singletonsubset<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>subset @ (setadjoin @ X2 @ emptyset) @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletonsubset)).
0.58/0.75	thf(singletoninpowerset, axiom, (singletoninpowerset<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletoninpowerset)).
0.58/0.75	thf(singletoninpowunion, axiom, (singletoninpowunion<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletoninpowunion)).
0.58/0.75	thf(upairset2E, axiom, (upairset2E<=>![X2:$i, X3:$i, X14:$i]:(in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>((X14)=(X2)|(X14)=(X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairset2E)).
0.58/0.75	thf(upairsubunion, axiom, (upairsubunion<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsubunion)).
0.58/0.75	thf(upairinpowunion, axiom, (upairinpowunion<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairinpowunion)).
0.58/0.75	thf(ubforcartprodlem1, axiom, (ubforcartprodlem1<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ubforcartprodlem1)).
0.58/0.75	thf(ubforcartprodlem2, axiom, (ubforcartprodlem2<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ubforcartprodlem2)).
0.58/0.75	thf(ubforcartprodlem3, axiom, (ubforcartprodlem3<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ubforcartprodlem3)).
0.58/0.75	thf(cartprodpairin, axiom, (cartprodpairin<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodpairin)).
0.58/0.75	thf(cartprodmempair1, axiom, (cartprodmempair1<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>?[X2:$i]:(in @ X2 @ X4&?[X3:$i]:(in @ X3 @ X5&(X18)=(kpair @ X2 @ X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodmempair1)).
0.58/0.75	thf(cartprodmempair, axiom, (cartprodmempair<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>iskpair @ X18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodmempair)).
0.58/0.75	thf(setunionE2, axiom, (setunionE2<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)=>?[X21:$i]:(in @ X21 @ X4&in @ X2 @ X21))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionE2)).
0.58/0.75	thf(setunionsingleton1, axiom, (setunionsingleton1<=>![X4:$i]:subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionsingleton1)).
0.58/0.75	thf(setunionsingleton2, axiom, (setunionsingleton2<=>![X4:$i]:subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionsingleton2)).
0.58/0.75	thf(setunionsingleton, axiom, (setunionsingleton<=>![X2:$i]:(setunion @ (setadjoin @ X2 @ emptyset))=(X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionsingleton)).
0.58/0.75	thf(singletonprop, axiom, (singletonprop<=>![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))))=>(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>singleton @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletonprop)).
0.58/0.75	thf(singletonsuniq, axiom, (singletonsuniq<=>![X2:$i, X3:$i]:((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletonsuniq)).
0.58/0.75	thf(setukpairinjL1, axiom, (setukpairinjL1<=>![X2:$i, X3:$i, X14:$i]:(in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=>(X2)=(X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjL1)).
0.58/0.75	thf(kfstsingleton, axiom, (kfstsingleton<=>![X18:$i]:(iskpair @ X18=>singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:in @ (setadjoin @ X2 @ emptyset) @ X18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kfstsingleton)).
0.58/0.75	thf(theprop, axiom, (theprop<=>![X21:$i]:(singleton @ X21=>in @ (setunion @ X21) @ X21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', theprop)).
0.58/0.75	thf(kfstpairEq, axiom, (kfstpairEq<=>![X2:$i, X3:$i]:(kfst @ (kpair @ X2 @ X3))=(X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kfstpairEq)).
0.58/0.75	thf(cartprodfstin, axiom, (cartprodfstin<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>in @ (kfst @ X18) @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodfstin)).
0.58/0.75	thf(setukpairinjL2, axiom, (setukpairinjL2<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset))=>(X2)=(X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjL2)).
0.58/0.75	thf(setukpairinjL, axiom, (setukpairinjL<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((kpair @ X2 @ X3)=(kpair @ X14 @ X18)=>(X2)=(X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjL)).
0.58/0.75	thf(setukpairinjR11, axiom, (setukpairinjR11<=>![X2:$i, X3:$i]:((X2)=(X3)=>(setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjR11)).
0.58/0.75	thf(setukpairinjR12, axiom, (setukpairinjR12<=>![X2:$i, X3:$i]:((X2)=(X3)=>(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjR12)).
0.58/0.75	thf(setukpairinjR1, axiom, (setukpairinjR1<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset))=>((X14)=(X18)=>(X3)=(X18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjR1)).
0.58/0.75	thf(upairequniteq, axiom, (upairequniteq<=>![X2:$i, X3:$i, X14:$i]:((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairequniteq)).
0.58/0.75	thf(setukpairinjR2, axiom, (setukpairinjR2<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset))=>(X3)=(X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjR2)).
0.58/0.75	thf(setukpairinjR, axiom, (setukpairinjR<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((kpair @ X2 @ X3)=(kpair @ X14 @ X18)=>(X3)=(X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjR)).
0.58/0.75	thf(ksndsingleton, axiom, (ksndsingleton<=>![X18:$i]:(iskpair @ X18=>singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(X18)=(kpair @ (kfst @ X18) @ X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ksndsingleton)).
0.58/0.75	thf(ksndpairEq, axiom, (ksndpairEq<=>![X2:$i, X3:$i]:(ksnd @ (kpair @ X2 @ X3))=(X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ksndpairEq)).
0.58/0.75	thf(kpairsurjEq, axiom, (kpairsurjEq<=>![X18:$i]:(iskpair @ X18=>(kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kpairsurjEq)).
0.58/0.75	thf(cartprodsndin, axiom, (cartprodsndin<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>in @ (ksnd @ X18) @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodsndin)).
0.58/0.75	thf(cartprodpairmemEL, axiom, (cartprodpairmemEL<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5)=>in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodpairmemEL)).
0.58/0.75	thf(cartprodpairmemER, axiom, (cartprodpairmemER<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5)=>in @ X3 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodpairmemER)).
0.58/0.75	thf(cartprodmempaircEq, axiom, (cartprodmempaircEq<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(kpair @ X2 @ X3)=(kpair @ X2 @ X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodmempaircEq)).
0.58/0.75	thf(cartprodfstpairEq, axiom, (cartprodfstpairEq<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodfstpairEq)).
0.58/0.75	thf(cartprodsndpairEq, axiom, (cartprodsndpairEq<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodsndpairEq)).
0.58/0.75	thf(cartprodpairsurjEq, axiom, (cartprodpairsurjEq<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>(kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodpairsurjEq)).
0.58/0.75	thf(dpsetconstrI, axiom, (dpsetconstrI<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(X22 @ X2 @ X3=>in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X22 @ X14 @ X18)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrI)).
0.58/0.75	thf(dpsetconstrSub, axiom, (dpsetconstrSub<=>![X4:$i, X5:$i, X23:$i > $i > $o]:subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:X23 @ X2 @ X3)) @ (cartprod @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrSub)).
0.58/0.75	thf(dpsetconstrERa, axiom, (dpsetconstrERa<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X25 @ X14 @ X18))=>X25 @ X2 @ X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrERa)).
0.58/0.75	thf(dpsetconstrEL1, axiom, (dpsetconstrEL1<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X26 @ X14 @ X18))=>in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrEL1)).
0.58/0.75	thf(dpsetconstrEL2, axiom, (dpsetconstrEL2<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X27 @ X14 @ X18))=>in @ X3 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrEL2)).
0.58/0.75	thf(dpsetconstrER, axiom, (dpsetconstrER<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X28 @ X14 @ X18))=>X28 @ X2 @ X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrER)).
0.58/0.75	thf(funcImageSingleton, axiom, (funcImageSingleton<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>singleton @ (dsetconstr @ X5 @ (^[X3:$i]:in @ (kpair @ X2 @ X3) @ X29))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcImageSingleton)).
0.58/0.75	thf(apProp, axiom, (apProp<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:in @ (kpair @ X2 @ X3) @ X29))) @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', apProp)).
0.58/0.75	thf(app, axiom, (app<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', app)).
0.58/0.75	thf(infuncsetfunc, axiom, (infuncsetfunc<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>func @ X4 @ X5 @ X29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', infuncsetfunc)).
0.58/0.75	thf(ap2p, axiom, (ap2p<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X2:$i]:(in @ X2 @ X4=>in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ap2p)).
0.58/0.75	thf(funcinfuncset, axiom, (funcinfuncset<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>in @ X29 @ (funcSet @ X4 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcinfuncset)).
0.58/0.75	thf(lamProp, axiom, (lamProp<=>![X4:$i, X5:$i, X30:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X30 @ X2) @ X5)=>func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(X30 @ X2)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lamProp)).
0.58/0.75	thf(lamp, axiom, (lamp<=>![X4:$i, X5:$i, X31:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X31 @ X2) @ X5)=>func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:X31 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lamp)).
0.58/0.75	thf(lam2p, axiom, (lam2p<=>![X4:$i, X5:$i, X32:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X32 @ X2) @ X5)=>in @ (lam @ X4 @ X5 @ (^[X2:$i]:X32 @ X2)) @ (funcSet @ X4 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lam2p)).
0.58/0.75	thf(funcGraphProp1, axiom, (funcGraphProp1<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcGraphProp1)).
0.58/0.75	thf(funcGraphProp3, axiom, (funcGraphProp3<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X2:$i]:(in @ X2 @ X4=>in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcGraphProp3)).
0.58/0.75	thf(funcGraphProp2, axiom, (funcGraphProp2<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X29=>(ap @ X4 @ X5 @ X29 @ X2)=(X3)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcGraphProp2)).
0.58/0.75	thf(funcextLem, axiom, (funcextLem<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X34:$i]:(func @ X4 @ X5 @ X34=>(![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X34=>in @ (kpair @ X2 @ X3) @ X29))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcextLem)).
0.58/0.75	thf(funcGraphProp4, axiom, (funcGraphProp4<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X29=>(ap @ X4 @ X5 @ X29 @ X2)=(X3)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcGraphProp4)).
0.58/0.75	thf(funcext, axiom, (funcext<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X34:$i]:(func @ X4 @ X5 @ X34=>(![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))=>(X29)=(X34))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcext)).
0.58/0.75	thf(funcext2, axiom, (funcext2<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X34:$i]:(in @ X34 @ (funcSet @ X4 @ X5)=>(![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))=>(X29)=(X34))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcext2)).
0.58/0.75	thf(ap2apEq1, axiom, (ap2apEq1<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ap2apEq1)).
0.58/0.75	thf(ap2apEq2, axiom, (ap2apEq2<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ap2apEq2)).
0.58/0.75	thf(beta1, axiom, (beta1<=>![X4:$i, X5:$i, X36:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X36 @ X2) @ X5)=>![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:X36 @ X3)) @ X2)=(X36 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', beta1)).
0.58/0.75	thf(eta1, axiom, (eta1<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>(lam @ X4 @ X5 @ (^[X2:$i]:ap @ X4 @ X5 @ X29 @ X2))=(X29))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eta1)).
0.58/0.75	thf(lam2lamEq, axiom, (lam2lamEq<=>![X4:$i, X5:$i, X37:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X37 @ X2) @ X5)=>(lam @ X4 @ X5 @ (^[X2:$i]:X37 @ X2))=(lam @ X4 @ X5 @ (^[X2:$i]:X37 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lam2lamEq)).
0.58/0.75	thf(beta2, axiom, (beta2<=>![X4:$i, X5:$i, X38:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X38 @ X2) @ X5)=>![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:X38 @ X3)) @ X2)=(X38 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', beta2)).
0.58/0.75	thf(eta2, axiom, (eta2<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>(lam @ X4 @ X5 @ (^[X2:$i]:ap @ X4 @ X5 @ X29 @ X2))=(X29))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eta2)).
0.58/0.75	thf(iffalseProp1, axiom, (iffalseProp1<=>![X4:$i, X39:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(~(X39)=>in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((X39&(X14)=(X2))|(~(X39)&(X14)=(X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iffalseProp1)).
0.58/0.75	thf(iffalseProp2, axiom, (iffalseProp2<=>![X4:$i, X40:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(~(X40)=>(dsetconstr @ X4 @ (^[X14:$i]:((X40&(X14)=(X2))|(~(X40)&(X14)=(X3)))))=(setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iffalseProp2)).
0.58/0.75	thf(iftrueProp1, axiom, (iftrueProp1<=>![X4:$i, X41:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X41=>in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((X41&(X14)=(X2))|(~(X41)&(X14)=(X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iftrueProp1)).
0.58/0.75	thf(iftrueProp2, axiom, (iftrueProp2<=>![X4:$i, X42:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X42=>(dsetconstr @ X4 @ (^[X14:$i]:((X42&(X14)=(X2))|(~(X42)&(X14)=(X3)))))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iftrueProp2)).
0.58/0.75	thf(ifSingleton, axiom, (ifSingleton<=>![X4:$i, X43:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((X43&(X14)=(X2))|(~(X43)&(X14)=(X3)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ifSingleton)).
0.58/0.75	thf(ifp, axiom, (ifp<=>![X4:$i, X44:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>in @ (if @ X4 @ (X44) @ X2 @ X3) @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ifp)).
0.58/0.75	thf(theeq, axiom, (theeq<=>![X21:$i]:(singleton @ X21=>![X2:$i]:(in @ X2 @ X21=>(setunion @ X21)=(X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', theeq)).
0.58/0.75	thf(iftrue, axiom, (iftrue<=>![X4:$i, X45:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X45=>(if @ X4 @ (X45) @ X2 @ X3)=(X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iftrue)).
0.58/0.75	thf(iffalse, axiom, (iffalse<=>![X4:$i, X46:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(~(X46)=>(if @ X4 @ (X46) @ X2 @ X3)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iffalse)).
0.58/0.75	thf(iftrueorfalse, axiom, (iftrueorfalse<=>![X4:$i, X47:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>in @ (if @ X4 @ (X47) @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iftrueorfalse)).
0.58/0.75	thf(binintersectT_lem, axiom, (binintersectT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (binintersect @ X21 @ X48) @ (powerset @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectT_lem)).
0.58/0.75	thf(binunionT_lem, axiom, (binunionT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (binunion @ X21 @ X48) @ (powerset @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionT_lem)).
0.58/0.75	thf(powersetT_lem, axiom, (powersetT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>in @ (powerset @ X21) @ (powerset @ (powerset @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetT_lem)).
0.58/0.75	thf(setminusT_lem, axiom, (setminusT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (setminus @ X21 @ X48) @ (powerset @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusT_lem)).
0.58/0.75	thf(complementT_lem, axiom, (complementT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>in @ (setminus @ X4 @ X21) @ (powerset @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementT_lem)).
0.58/0.75	thf(setextT, axiom, (setextT<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>in @ X2 @ X48))=>(![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X48=>in @ X2 @ X21))=>(X21)=(X48)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setextT)).
0.58/0.75	thf(subsetTI, axiom, (subsetTI<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>in @ X2 @ X48))=>subset @ X21 @ X48)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetTI)).
0.58/0.75	thf(powersetTI1, axiom, (powersetTI1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>in @ X2 @ X48))=>in @ X21 @ (powerset @ X48))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetTI1)).
0.58/0.75	thf(powersetTE1, axiom, (powersetTE1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X21 @ (powerset @ X48)=>(in @ X2 @ X21=>in @ X2 @ X48)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetTE1)).
0.58/0.75	thf(complementTI1, axiom, (complementTI1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>~(in @ X2 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementTI1)).
0.58/0.75	thf(complementTE1, axiom, (complementTE1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ (setminus @ X4 @ X21))=>in @ X2 @ X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementTE1)).
0.58/0.75	thf(binintersectTELcontra, axiom, (binintersectTELcontra<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X21)=>~(in @ X2 @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectTELcontra)).
0.58/0.75	thf(binintersectTERcontra, axiom, (binintersectTERcontra<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X48)=>~(in @ X2 @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectTERcontra)).
0.58/0.75	thf(contrasubsetT, axiom, (contrasubsetT<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(subset @ X21 @ (setminus @ X4 @ X48)=>(in @ X2 @ X48=>~(in @ X2 @ X21))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', contrasubsetT)).
0.58/0.75	thf(contrasubsetT1, axiom, (contrasubsetT1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(subset @ X21 @ X48=>(~(in @ X2 @ X48)=>~(in @ X2 @ X21))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', contrasubsetT1)).
0.58/0.75	thf(contrasubsetT2, axiom, (contrasubsetT2<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(subset @ X21 @ X48=>subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', contrasubsetT2)).
0.58/0.75	thf(contrasubsetT3, axiom, (contrasubsetT3<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21)=>subset @ X21 @ X48)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', contrasubsetT3)).
0.58/0.75	thf(doubleComplementI1, axiom, (doubleComplementI1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', doubleComplementI1)).
0.58/0.75	thf(doubleComplementE1, axiom, (doubleComplementE1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21))=>in @ X2 @ X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', doubleComplementE1)).
0.58/0.75	thf(doubleComplementSub1, axiom, (doubleComplementSub1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>subset @ X21 @ (setminus @ X4 @ (setminus @ X4 @ X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', doubleComplementSub1)).
0.58/0.75	thf(doubleComplementSub2, axiom, (doubleComplementSub2<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>subset @ (setminus @ X4 @ (setminus @ X4 @ X21)) @ X21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', doubleComplementSub2)).
0.58/0.75	thf(doubleComplementEq, axiom, (doubleComplementEq<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>(X21)=(setminus @ X4 @ (setminus @ X4 @ X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', doubleComplementEq)).
0.58/0.75	thf(complementTnotintersectT, axiom, (complementTnotintersectT<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ X21)=>~(in @ X2 @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementTnotintersectT)).
0.58/0.75	thf(c_0_254, axiom, (replAx)=(![X6:$i > $i > $o, X4:$i]:(![X2:$i]:(in @ X2 @ X4=>?[X823:$i]:(X6 @ X2 @ X823&![X825:$i]:(X6 @ X2 @ X825=>(X823)=(X825))))=>?[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))), inference(apply_def,[status(thm)],[replAx, exu])).
0.58/0.75	thf(c_0_255, axiom, (descrp)=(![X1:$i > $o]:(?[X826:$i]:(X1 @ X826&![X827:$i]:(X1 @ X827=>(X826)=(X827)))=>X1 @ (descr @ (^[X2:$i]:X1 @ X2)))), inference(apply_def,[status(thm)],[descrp, exu])).
0.58/0.75	thf(c_0_256, axiom, (exuE1)=(![X1:$i > $o]:(?[X828:$i]:(X1 @ X828&![X829:$i]:(X1 @ X829=>(X828)=(X829)))=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuE1, exu])).
0.58/0.75	thf(c_0_257, axiom, (exuE3e)=(![X1:$i > $o]:(?[X830:$i]:(X1 @ X830&![X831:$i]:(X1 @ X831=>(X830)=(X831)))=>?[X2:$i]:X1 @ X2)), inference(apply_def,[status(thm)],[exuE3e, exu])).
0.58/0.75	thf(c_0_258, axiom, (nonemptyE1)=(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:in @ X2 @ X4)), inference(apply_def,[status(thm)],[nonemptyE1, nonempty])).
0.58/0.75	thf(c_0_259, axiom, (nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))!=(emptyset)))), inference(apply_def,[status(thm)],[nonemptyI, nonempty])).
0.58/0.75	thf(c_0_260, axiom, (nonemptyI1)=(![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>(X4)!=(emptyset))), inference(apply_def,[status(thm)],[nonemptyI1, nonempty])).
0.58/0.75	thf(c_0_261, axiom, (exuE2)=(![X1:$i > $o]:(?[X832:$i]:(X1 @ X832&![X833:$i]:(X1 @ X833=>(X832)=(X833)))=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))), inference(apply_def,[status(thm)],[exuE2, exu])).
0.58/0.75	thf(c_0_262, axiom, (nonemptyImpWitness)=(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:(in @ X2 @ X4&$true))), inference(apply_def,[status(thm)],[nonemptyImpWitness, nonempty])).
0.58/0.75	thf(c_0_263, axiom, (exuI1)=(![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>?[X834:$i]:(X1 @ X834&![X835:$i]:(X1 @ X835=>(X834)=(X835))))), inference(apply_def,[status(thm)],[exuI1, exu])).
0.58/0.75	thf(c_0_264, axiom, (exuI3)=(![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>?[X836:$i]:(X1 @ X836&![X837:$i]:(X1 @ X837=>(X836)=(X837)))))), inference(apply_def,[status(thm)],[exuI3, exu])).
0.58/0.75	thf(c_0_265, axiom, (exuI2)=(![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>?[X838:$i]:(X1 @ X838&![X839:$i]:(X1 @ X839=>(X838)=(X839))))), inference(apply_def,[status(thm)],[exuI2, exu])).
0.58/0.75	thf(c_0_266, axiom, (exuE3u)=(![X1:$i > $o]:(?[X840:$i]:(X1 @ X840&![X841:$i]:(X1 @ X841=>(X840)=(X841)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuE3u, exu])).
0.58/0.75	thf(c_0_267, axiom, (exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X842:$i]:(X1 @ X842&![X843:$i]:(X1 @ X843=>(X842)=(X843)))<=>?[X844:$i]:(X17 @ X844&![X845:$i]:(X17 @ X845=>(X844)=(X845)))))), inference(apply_def,[status(thm)],[exu__Cong, exu])).
0.58/0.75	thf(c_0_268, axiom, (exuEu)=(![X1:$i > $o]:(?[X846:$i]:(X1 @ X846&![X847:$i]:(X1 @ X847=>(X846)=(X847)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuEu, exu])).
0.58/0.75	thf(c_0_269, axiom, (descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X848:$i]:(X1 @ X848&![X849:$i]:(X1 @ X849=>(X848)=(X849)))=>(?[X850:$i]:(X17 @ X850&![X851:$i]:(X17 @ X851=>(X850)=(X851)))=>(descr @ (^[X2:$i]:X1 @ X2))=(descr @ (^[X2:$i]:X17 @ X2)))))), inference(apply_def,[status(thm)],[descr__Cong, exu])).
0.58/0.75	thf(c_0_270, axiom, (ex1E1)=(![X4:$i, X1:$i > $o]:(singleton @ (dsetconstr @ X4 @ (^[X852:$i]:X1 @ X852))=>?[X2:$i]:(in @ X2 @ X4&X1 @ X2))), inference(apply_def,[status(thm)],[ex1E1, ex1])).
0.58/0.75	thf(c_0_271, axiom, (ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(![X3:$i]:(in @ X3 @ X4=>(X1 @ X3=>(X3)=(X2)))=>singleton @ (dsetconstr @ X4 @ (^[X853:$i]:X1 @ X853)))))), inference(apply_def,[status(thm)],[ex1I, ex1])).
0.58/0.75	thf(c_0_272, axiom, (ex1I2)=(![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))))=>(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>singleton @ (dsetconstr @ X4 @ (^[X855:$i]:X1 @ X855))))), inference(apply_def,[status(thm)],[ex1I2, ex1])).
0.58/0.75	thf(c_0_273, axiom, (setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:X24 @ X2 @ X3)) @ (cartprod @ X4 @ X5)), inference(apply_def,[status(thm)],[setOfPairsIsBReln, breln])).
0.58/0.75	thf(c_0_274, axiom, (brelnall1)=(![X4:$i, X5:$i, X33:$i]:(subset @ X33 @ (cartprod @ X4 @ X5)=>![X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>X1 @ (kpair @ X2 @ X3))))=>![X2:$i]:(in @ X2 @ X33=>X1 @ X2)))), inference(apply_def,[status(thm)],[brelnall1, breln])).
0.58/0.75	thf(c_0_275, axiom, (brelnall2)=(![X4:$i, X5:$i, X33:$i]:(subset @ X33 @ (cartprod @ X4 @ X5)=>![X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>X1 @ (kpair @ X2 @ X3))))=>![X2:$i]:(in @ X2 @ X33=>X1 @ X2)))), inference(apply_def,[status(thm)],[brelnall2, breln])).
0.58/0.75	thf(c_0_276, axiom, (ex1E2)=(![X4:$i, X1:$i > $o]:(singleton @ (dsetconstr @ X4 @ (^[X856:$i]:X1 @ X856))=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))))), inference(apply_def,[status(thm)],[ex1E2, ex1])).
0.58/0.75	thf(c_0_277, axiom, (subbreln)=(![X4:$i, X5:$i, X33:$i]:(subset @ X33 @ (cartprod @ X4 @ X5)=>![X35:$i]:(subset @ X35 @ (cartprod @ X4 @ X5)=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>in @ (kpair @ X2 @ X3) @ X35)))=>subset @ X33 @ X35)))), inference(apply_def,[status(thm)],[subbreln, breln])).
0.58/0.75	thf(c_0_278, axiom, (eqbreln)=(![X4:$i, X5:$i, X33:$i]:(subset @ X33 @ (cartprod @ X4 @ X5)=>![X35:$i]:(subset @ X35 @ (cartprod @ X4 @ X5)=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>in @ (kpair @ X2 @ X3) @ X35)))=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X35=>in @ (kpair @ X2 @ X3) @ X33)))=>(X33)=(X35)))))), inference(apply_def,[status(thm)],[eqbreln, breln])).
0.58/0.75	thf(c_0_279, plain, ![X2:$i, X1:$i > $o]:(epred1_2 @ X1 @ X2<=>X1 @ X2), introduced(definition)).
0.58/0.75	thf(c_0_280, plain, ![X2:$i]:epred8_1 @ X2, inference(fof_simplification,[status(thm)],[introduced(definition)])).
0.58/0.75	thf(c_0_281, plain, ![X2:$i, X18:$i]:(epred7_2 @ X18 @ X2<=>in @ (setadjoin @ X2 @ emptyset) @ X18), introduced(definition)).
0.58/0.75	thf(c_0_282, plain, ![X2:$i, X18:$i]:(epred6_2 @ X18 @ X2<=>(X18)=(kpair @ (kfst @ X18) @ X2)), introduced(definition)).
0.58/0.75	thf(c_0_283, plain, ![X18:$i, X14:$i, X22:$i > $i > $o]:(epred2_3 @ X22 @ X14 @ X18<=>X22 @ X14 @ X18), introduced(definition)).
0.58/0.75	thf(c_0_284, plain, ![X3:$i, X2:$i, X30:$i > $i]:(epred5_3 @ X30 @ X2 @ X3<=>(X30 @ X2)=(X3)), introduced(definition)).
0.58/0.75	thf(c_0_285, plain, ![X2:$i, X32:$i > $i]:(esk1_2 @ X32 @ X2)=(X32 @ X2), introduced(definition)).
0.58/0.75	thf(c_0_286, plain, ![X14:$i, X2:$i, X41:$o, X3:$i]:(epred4_4 @ X3 @ X41 @ X2 @ X14<=>((X41&(X14)=(X2))|(~X41&(X14)=(X3)))), inference(fof_simplification,[status(thm)],[introduced(definition)])).
0.58/0.75	thf(c_0_287, plain, ![X3:$i, X29:$i, X2:$i]:(epred3_3 @ X2 @ X29 @ X3<=>in @ (kpair @ X2 @ X3) @ X29), introduced(definition)).
0.58/0.75	thf(c_0_288, plain, (epred9_0<=>![X4:$i]:?[X5:$i]:(((![X7:$i]:(in @ X7 @ X5=>![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X4))&![X2:$i, X3:$i]:((in @ X2 @ X4&in @ X3 @ X4)=>(![X7:$i]:(in @ X7 @ X5=>(in @ X2 @ X7<=>in @ X3 @ X7))=>(X2)=(X3))))&![X7:$i, X8:$i]:((in @ X7 @ X5&in @ X8 @ X5)=>(![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X8)|![X2:$i]:(in @ X2 @ X8=>in @ X2 @ X7))))&![X7:$i]:((![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X4)&?[X2:$i]:in @ X2 @ X7)=>?[X8:$i, X2:$i]:(((in @ X8 @ X5&in @ X2 @ X7)&~(?[X3:$i]:(in @ X3 @ X8&in @ X3 @ X7)))&![X9:$i]:(in @ X9 @ X5=>(![X3:$i]:(in @ X3 @ X9=>in @ X3 @ X8)|in @ X2 @ X9)))))), introduced(definition)).
0.58/0.75	thf(c_0_289, negated_conjecture, ~((![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4<=>in @ X2 @ X5)=>(X4)=(X5))=>(![X2:$i]:~in @ X2 @ emptyset=>(![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)<=>((X3)=(X2)|in @ X3 @ X4))=>(![X4:$i, X5:$i]:(in @ X5 @ (powerset @ X4)<=>![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4))=>(![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)<=>?[X5:$i]:(in @ X2 @ X5&in @ X5 @ X4))=>(in @ emptyset @ omega=>(![X2:$i]:(in @ X2 @ omega=>in @ (setadjoin @ X2 @ X2) @ omega)=>(![X4:$i]:((in @ emptyset @ X4&![X2:$i]:((in @ X2 @ omega&in @ X2 @ X4)=>in @ (setadjoin @ X2 @ X2) @ X4))=>![X2:$i]:(in @ X2 @ omega=>in @ X2 @ X4))=>(![X6:$i > $i > $o, X4:$i]:(![X2:$i]:(in @ X2 @ X4=>?[X823:$i]:(X6 @ X2 @ X823&![X825:$i]:(X6 @ X2 @ X825=>(X823)=(X825))))=>?[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))=>(![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>?[X5:$i]:(in @ X5 @ X4&~(?[X2:$i]:(in @ X2 @ X5&in @ X2 @ X4))))=>(epred9_0=>(![X1:$i > $o]:(?[X826:$i]:(X1 @ X826&![X827:$i]:(X1 @ X827=>(X826)=(X827)))=>X1 @ (descr @ (epred1_2 @ X1)))=>(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>in @ X2 @ (dsetconstr @ X4 @ (epred1_2 @ X1))))=>(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (epred1_2 @ X1))=>in @ X2 @ X4)=>(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (epred1_2 @ X1))=>X1 @ X2)=>(![X1:$i > $o]:(?[X828:$i]:(X1 @ X828&![X829:$i]:(X1 @ X829=>(X828)=(X829)))=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))=>(![X10:$o, X2:$i]:(((~X10|in @ X2 @ (prop2set @ $true))&(X10|in @ X2 @ (prop2set @ $false)))=>X10)=>(![X2:$i]:(in @ X2 @ emptyset=>![X11:$o]:X11)=>(![X2:$i]:~in @ X2 @ emptyset=>(![X2:$i]:~in @ X2 @ emptyset=>(![X1:$i > $o]:(?[X830:$i]:(X1 @ X830&![X831:$i]:(X1 @ X831=>(X830)=(X831)))=>?[X2:$i]:X1 @ X2)=>(![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>(X4)=(X5)))=>(![X4:$i]:(![X2:$i]:~in @ X2 @ X4=>(X4)=(emptyset))=>(![X4:$i]:(![X2:$i]:~in @ X2 @ X4=>(X4)=(emptyset))=>(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (dsetconstr @ X4 @ (epred1_2 @ X1))<=>X1 @ X2))=>(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:in @ X2 @ X4)=>(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(dsetconstr @ X4 @ (epred1_2 @ X1))!=(emptyset)))=>(![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>(X4)!=(emptyset))=>(![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ X3)=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset)=>(![X2:$i, X4:$i, X3:$i]:(in @ X3 @ X4=>in @ X3 @ (setadjoin @ X2 @ X4))=>(![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>![X12:$o]:(((X3)=(X2)=>X12)=>((in @ X3 @ X4=>X12)=>X12)))=>(![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>((X3)=(X2)|in @ X3 @ X4))=>(![X4:$i]:(dsetconstr @ X4 @ epred8_1)=(X4)=>(![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>in @ X5 @ (powerset @ X4))=>(![X4:$i]:in @ emptyset @ (powerset @ X4)=>(![X4:$i]:in @ emptyset @ (powerset @ X4)=>(![X4:$i, X5:$i, X2:$i]:(in @ X5 @ (powerset @ X4)=>(in @ X2 @ X5=>in @ X2 @ X4))=>(![X4:$i, X2:$i, X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>in @ X2 @ (setunion @ X4)))=>(![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)=>![X13:$o]:(![X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>X13))=>X13))=>(![X4:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (powerset @ (setunion @ X4)))=>(![X1:$i > $o]:(?[X832:$i]:(X1 @ X832&![X833:$i]:(X1 @ X833=>(X832)=(X833)))=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))=>(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:in @ X2 @ X4)=>(![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>(X2)=(X3))=>(![X2:$i, X3:$i]:((X2)!=(X3)=>~in @ X3 @ (setadjoin @ X2 @ emptyset))=>(![X2:$i, X3:$i]:((X2)=(X3)=>in @ X2 @ (setadjoin @ X3 @ emptyset))=>(![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>in @ X3 @ (setadjoin @ X2 @ emptyset))=>(![X2:$i, X3:$i, X14:$i]:(in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>((X14)=(X2)|(X14)=(X3)))=>(![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>(![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>(![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>(dsetconstr @ X4 @ (epred1_2 @ X1))!=(emptyset))=>(![X1:$i > $o, X2:$i]:(in @ X2 @ emptyset=>X1 @ X2)=>(![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~X1 @ X2))=>(![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>~X1 @ X2)=>~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)))=>(![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~X1 @ X2))=>(![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&~X1 @ X2)=>~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2)))=>(![X15:$o]:(X15=>((~X15|in @ emptyset @ (prop2set @ $true))&(X15|in @ emptyset @ (prop2set @ $false))))=>(![X16:$o]:(X16=>((~X16|set2prop @ (prop2set @ $true))&(X16|set2prop @ (prop2set @ $false))))=>(![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~X1 @ X2))=>(![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~X1 @ X2))=>(![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>?[X834:$i]:(X1 @ X834&![X835:$i]:(X1 @ X835=>(X834)=(X835))))=>(![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>?[X836:$i]:(X1 @ X836&![X837:$i]:(X1 @ X837=>(X836)=(X837)))))=>(![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>?[X838:$i]:(X1 @ X838&![X839:$i]:(X1 @ X839=>(X838)=(X839))))=>(![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4=>in @ X3 @ X5)))=>(![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4<=>in @ X3 @ X5)))=>(![X1:$i > $o]:(?[X840:$i]:(X1 @ X840&![X841:$i]:(X1 @ X841=>(X840)=(X841)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))=>(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X842:$i]:(X1 @ X842&![X843:$i]:(X1 @ X843=>(X842)=(X843)))<=>?[X844:$i]:(X17 @ X844&![X845:$i]:(X17 @ X845=>(X844)=(X845)))))=>((emptyset)=(emptyset)=>(![X2:$i, X3:$i]:((X2)=(X3)=>![X14:$i, X18:$i]:((X14)=(X18)=>(setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18)))=>(![X4:$i, X5:$i]:((X4)=(X5)=>(powerset @ X4)=(powerset @ X5))=>(![X4:$i, X5:$i]:((X4)=(X5)=>(setunion @ X4)=(setunion @ X5))=>((omega)=(omega)=>(![X1:$i > $o]:(?[X846:$i]:(X1 @ X846&![X847:$i]:(X1 @ X847=>(X846)=(X847)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))=>(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X848:$i]:(X1 @ X848&![X849:$i]:(X1 @ X849=>(X848)=(X849)))=>(?[X850:$i]:(X17 @ X850&![X851:$i]:(X17 @ X851=>(X850)=(X851)))=>(descr @ (epred1_2 @ X1))=(descr @ (epred1_2 @ X17)))))=>(![X4:$i, X5:$i]:((X4)=(X5)=>![X1:$i > $o, X17:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))))=>(dsetconstr @ X4 @ (epred1_2 @ X1))=(dsetconstr @ X5 @ (epred1_2 @ X17))))=>(![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)=>(![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X5 @ X4)=>(![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X4 @ X5)=>(![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ 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y_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[complementImpComplementIntersect]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_254]), foundationAx]), wellorderingAx]), c_0_255]), dsetconstrI]), dsetconstrEL]), dsetconstrER]), c_0_256]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_257]), setext]), emptyI]), noeltsimpempty]), setbeta]), c_0_258]), c_0_259]), c_0_260]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), setoftrueEq]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_261]), c_0_262]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), emptyE1]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_263]), c_0_264]), c_0_265]), inCongP]), in__Cong]), c_0_266]), c_0_267]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_268]), c_0_269]), dsetconstr__Cong]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), sepInPowerset]), sepSubset]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectEL]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), binintersectER]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), bs114d]), setminusI]), setminusEL]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), setminusILneg]), setminusIRneg]), setminusLsub]), setminusSubset1]), symdiffE]), symdiffI1]), symdiffI2]), symdiffIneg1]), symdiffIneg2]), secondinupair]), setukpairIL]), setukpairIR]), kpairiskpair]), kpairp]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1]), ubforcartprodlem2]), ubforcartprodlem3]), cartprodpairin]), cartprodmempair1]), cartprodmempair]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), singletonprop]), c_0_270]), c_0_271]), c_0_272]), singletonsuniq]), setukpairinjL1]), kfstsingleton]), theprop]), kfstpairEq]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR11]), setukpairinjR12]), setukpairinjR1]), upairequniteq]), setukpairinjR2]), setukpairinjR]), ksndsingleton]), ksndpairEq]), kpairsurjEq]), cartprodsndin]), cartprodpairmemEL]), cartprodpairmemER]), cartprodmempaircEq]), cartprodfstpairEq]), cartprodsndpairEq]), cartprodpairsurjEq]), dpsetconstrI]), dpsetconstrSub]), c_0_273]), dpsetconstrERa]), dpsetconstrEL1]), dpsetconstrEL2]), dpsetconstrER]), funcImageSingleton]), apProp]), app]), infuncsetfunc]), ap2p]), funcinfuncset]), lamProp]), lamp]), lam2p]), c_0_274]), c_0_275]), c_0_276]), funcGraphProp1]), funcGraphProp3]), funcGraphProp2]), funcextLem]), funcGraphProp4]), c_0_277]), c_0_278]), funcext]), funcext2]), ap2apEq1]), ap2apEq2]), beta1]), eta1]), lam2lamEq]), beta2]), eta2]), iffalseProp1]), iffalseProp2]), iftrueProp1]), iftrueProp2]), ifSingleton]), ifp]), theeq]), iftrue]), iffalse]), iftrueorfalse]), binintersectT_lem]), binunionT_lem]), powersetT_lem]), setminusT_lem]), complementT_lem]), setextT]), subsetTI]), powersetTI1]), powersetTE1]), complementTI1]), complementTE1]), binintersectTELcontra]), binintersectTERcontra]), contrasubsetT]), contrasubsetT1]), contrasubsetT2]), contrasubsetT3]), doubleComplementI1]), doubleComplementE1]), doubleComplementSub1]), doubleComplementSub2]), doubleComplementEq]), complementTnotintersectT]), c_0_279]), c_0_279]), c_0_279]), c_0_280]), c_0_279]), c_0_279]), c_0_279]), c_0_279]), c_0_279]), c_0_279]), c_0_281]), c_0_282]), c_0_283]), c_0_283]), c_0_283]), c_0_283]), c_0_284]), c_0_285]), c_0_285]), c_0_285]), c_0_285]), c_0_286]), c_0_286]), c_0_286]), c_0_286]), c_0_286]), c_0_285]), c_0_285]), c_0_285]), c_0_279]), c_0_285]), c_0_287]), c_0_287]), c_0_283]), c_0_283]), c_0_283]), c_0_279]), c_0_279]), c_0_279]), c_0_279]), c_0_279]), c_0_279]), c_0_279]), c_0_279])])]), c_0_288])).
0.58/0.75	thf(c_0_290, negated_conjecture, ![X857:$i, X858:$i, X860:$i, X861:$i, X862:$i, X863:$i, X864:$i, X865:$i, X866:$i, X867:$i, X868:$i, X870:$i, X871:$i, X873:$i, X874:$i, X875:$i, X876:$i, X877:$i, X879:$i, X880:$i > $i > $o, X881:$i, X883:$i, X886:$i, X888:$i, X889:$i, X890:$i, X891:$i, X893:$i, X894:$i > $o, X895:$i, X897:$i, X898:$i > $o, X899:$i, X900:$i, X901:$i > $o, X902:$i, X903:$i, X904:$i > $o, X905:$i, X906:$i > $o, X907:$i, X910:$i, X911:$o, X912:$i, X913:$i, X914:$o, X915:$i, X916:$i, X917:$i > $o, X918:$i, X921:$i, X922:$i, X925:$i, X927:$i, X929:$i, X930:$i > $o, X931:$i, X932:$i, X934:$i, X935:$i > $o, X936:$i, X937:$i, X938:$i, X939:$i, X940:$i, X941:$i, X942:$i, X943:$i, X944:$i, X945:$i, X946:$i, X947:$o, X948:$i, X949:$i, X950:$i, X951:$i, X952:$i, X953:$i, X955:$i, X956:$i, X957:$i, X958:$i, X959:$i, X960:$i, X961:$i, X962:$i, X963:$i, X964:$i, X965:$o, X967:$i, X968:$i, X969:$i > $o, X970:$i, X973:$i, X974:$i, X975:$i, X977:$i, X978:$i, X979:$i, X980:$i, X981:$i, X982:$i, X983:$i, X984:$i, X985:$i, X986:$i, X987:$i, X988:$i, X989:$i, X990:$i, X991:$i, X992:$i, X993:$i > $o, X994:$i, X995:$i > $o, X996:$i, X997:$i, X998:$i > $o, X999:$i, X1001:$i, X1002:$i > $o, X1004:$i, X1005:$i, X1006:$i > $o, X1008:$i, X1009:$i, X1010:$i > $o, X1011:$i, X1013:$o, X1014:$o, X1015:$i, X1016:$i > $o, X1018:$i, X1019:$i, X1020:$i > $o, X1021:$i, X1023:$i > $o, X1024:$i, X1027:$i, X1028:$i > $o, X1029:$i, X1033:$i, X1034:$i > $o, X1035:$i, X1038:$i, X1039:$i, X1040:$i, X1041:$i, X1042:$i, X1043:$i, X1044:$i, X1045:$i, X1046:$i, X1047:$i > $o, X1048:$i, X1050:$i, X1051:$i, X1052:$i > $o, X1053:$i > $o, X1056:$i, X1059:$i, X1060:$i, X1063:$i, X1064:$i, X1065:$i, X1066:$i, X1067:$i, X1068:$i, X1069:$i, X1070:$i, X1071:$i, X1072:$i > $o, X1073:$i, X1075:$i, X1076:$i, X1077:$i > $o, X1078:$i > $o, X1081:$i, X1083:$i, X1085:$i, X1086:$i, X1087:$i > $o, X1088:$i > $o, X1091:$i, X1092:$i, X1094:$i, X1095:$i, X1096:$i, X1097:$i, X1098:$i, X1099:$i, X1101:$i, X1102:$i, X1103:$i, X1104:$i, X1105:$i, X1106:$i, X1107:$i, X1108:$i, X1109:$i, X1110:$i, X1111:$i, X1112:$i, X1113:$i, X1114:$i, X1115:$i, X1116:$i, X1117:$i, X1118:$i, X1119:$i, X1120:$i, X1121:$i, X1122:$i, X1123:$i, X1124:$i, X1125:$i, X1126:$i, X1127:$i, X1128:$i, X1129:$i, X1130:$i, X1131:$i, X1132:$i, X1133:$i, X1134:$i, X1135:$i, X1136:$i, X1137:$i, X1138:$i > $o, X1139:$i, X1140:$i > $o, X1141:$i, X1142:$i, X1143:$i, X1144:$i, X1145:$i, X1146:$i, X1147:$i, X1148:$i, X1149:$i, X1150:$i, X1151:$i, X1152:$o, X1153:$i, X1154:$i, X1155:$i, X1156:$i, X1157:$i, X1158:$i, X1159:$i, X1160:$i, X1161:$i, X1162:$i, X1163:$i, X1164:$i, X1165:$i, X1166:$i, X1167:$i, X1168:$i, X1169:$i, X1170:$i, X1171:$i, X1172:$i, X1173:$i, X1174:$i, X1175:$i, X1176:$i, X1177:$i, X1178:$i, X1179:$i, X1181:$i, X1182:$i, X1183:$i, X1184:$i, X1185:$i, X1186:$i, X1187:$i, X1188:$i, X1189:$i, X1190:$i, X1191:$i, X1192:$i, X1193:$i, X1194:$i, X1195:$i, X1196:$i, X1197:$i, X1198:$i, X1199:$i, X1200:$i, X1201:$i, X1202:$i, X1203:$i, X1204:$i, X1205:$i, X1206:$i, X1207:$i, X1208:$i, X1209:$i, X1210:$i, X1211:$i, X1212:$i, X1213:$i, X1214:$i, X1215:$i, X1216:$i, X1217:$i, X1218:$i, X1219:$i, X1220:$o, X1221:$i, X1222:$i, X1223:$i, X1224:$i, X1225:$i, X1226:$i, X1227:$i, X1228:$i, X1229:$i, X1230:$i, X1231:$i, X1232:$i, X1233:$i, X1234:$i, X1235:$i, X1236:$i, X1237:$i, X1238:$i, X1239:$i, X1240:$i, X1241:$i, X1242:$i, X1243:$i, X1244:$i, X1245:$i, X1246:$i, X1247:$i, X1248:$i, X1249:$i, X1250:$i, X1251:$i, X1252:$i, X1253:$i, X1254:$i, X1255:$i, X1256:$i, X1257:$i, X1258:$i, X1259:$i, X1260:$i, X1261:$i, X1262:$i, X1263:$i, X1264:$i, X1265:$i, X1266:$i, X1267:$i, X1268:$i, X1269:$i, X1270:$i, X1271:$i, X1272:$i, X1273:$i, X1274:$i, X1275:$i, X1276:$i, X1277:$i, X1278:$i, X1279:$i, X1282:$i, X1283:$i, X1284:$i, X1285:$i, X1286:$i, X1288:$i, X1289:$i, X1290:$i, X1291:$i, X1292:$i > $o, X1295:$i, X1296:$i, X1297:$i > $o, X1299:$i, X1300:$i > $o, X1301:$i, X1303:$i, X1304:$i > $o, X1307:$i, X1308:$i, 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(esk43_2 @ X1052 @ X1053)|(X1052 @ (esk42_3 @ X1052 @ X1053 @ X1056)|~X1052 @ X1056)|(esk40_2 @ X1052 @ X1053)=(esk41_2 @ X1052 @ X1053))&(~X1053 @ X1059|(esk43_2 @ X1052 @ X1053)=(X1059)|(X1052 @ (esk42_3 @ X1052 @ X1053 @ X1056)|~X1052 @ X1056)|(esk40_2 @ X1052 @ X1053)=(esk41_2 @ X1052 @ X1053)))&((X1053 @ (esk43_2 @ X1052 @ X1053)|((X1056)!=(esk42_3 @ X1052 @ X1053 @ X1056)|~X1052 @ X1056)|(esk40_2 @ X1052 @ X1053)=(esk41_2 @ X1052 @ X1053))&(~X1053 @ X1059|(esk43_2 @ X1052 @ X1053)=(X1059)|((X1056)!=(esk42_3 @ X1052 @ X1053 @ X1056)|~X1052 @ X1056)|(esk40_2 @ X1052 @ X1053)=(esk41_2 @ X1052 @ X1053))))&(((X1052 @ (esk45_2 @ X1052 @ X1053)|(X1053 @ (esk44_3 @ X1052 @ X1053 @ X1060)|~X1053 @ X1060)|(esk40_2 @ X1052 @ X1053)=(esk41_2 @ X1052 @ X1053))&(~X1052 @ X1063|(esk45_2 @ X1052 @ X1053)=(X1063)|(X1053 @ (esk44_3 @ X1052 @ X1053 @ X1060)|~X1053 @ X1060)|(esk40_2 @ X1052 @ X1053)=(esk41_2 @ X1052 @ X1053)))&((X1052 @ (esk45_2 @ X1052 @ X1053)|((X1060)!=(esk44_3 @ X1052 @ X1053 @ X1060)|~X1053 @ X1060)|(esk40_2 @ X1052 @ X1053)=(esk41_2 @ X1052 @ X1053))&(~X1052 @ X1063|(esk45_2 @ X1052 @ X1053)=(X1063)|((X1060)!=(esk44_3 @ X1052 @ X1053 @ X1060)|~X1053 @ X1060)|(esk40_2 @ X1052 @ X1053)=(esk41_2 @ X1052 @ X1053)))))&(((((X1053 @ (esk43_2 @ X1052 @ X1053)|(X1052 @ (esk42_3 @ X1052 @ X1053 @ X1056)|~X1052 @ X1056)|(~X1052 @ (esk40_2 @ X1052 @ X1053)|~X1053 @ (esk41_2 @ X1052 @ X1053)))&(~X1053 @ X1059|(esk43_2 @ X1052 @ X1053)=(X1059)|(X1052 @ (esk42_3 @ X1052 @ X1053 @ X1056)|~X1052 @ X1056)|(~X1052 @ (esk40_2 @ X1052 @ X1053)|~X1053 @ (esk41_2 @ X1052 @ X1053))))&((X1053 @ (esk43_2 @ X1052 @ X1053)|((X1056)!=(esk42_3 @ X1052 @ X1053 @ X1056)|~X1052 @ X1056)|(~X1052 @ (esk40_2 @ X1052 @ X1053)|~X1053 @ (esk41_2 @ X1052 @ X1053)))&(~X1053 @ X1059|(esk43_2 @ X1052 @ X1053)=(X1059)|((X1056)!=(esk42_3 @ X1052 @ X1053 @ X1056)|~X1052 @ X1056)|(~X1052 @ (esk40_2 @ X1052 @ X1053)|~X1053 @ (esk41_2 @ X1052 @ X1053)))))&(((X1052 @ (esk45_2 @ X1052 @ X1053)|(X1053 @ (esk44_3 @ X1052 @ X1053 @ X1060)|~X1053 @ X1060)|(~X1052 @ (esk40_2 @ X1052 @ X1053)|~X1053 @ (esk41_2 @ X1052 @ X1053)))&(~X1052 @ X1063|(esk45_2 @ X1052 @ X1053)=(X1063)|(X1053 @ (esk44_3 @ X1052 @ X1053 @ X1060)|~X1053 @ X1060)|(~X1052 @ (esk40_2 @ X1052 @ X1053)|~X1053 @ (esk41_2 @ X1052 @ X1053))))&((X1052 @ (esk45_2 @ X1052 @ X1053)|((X1060)!=(esk44_3 @ X1052 @ X1053 @ X1060)|~X1053 @ X1060)|(~X1052 @ (esk40_2 @ X1052 @ X1053)|~X1053 @ (esk41_2 @ X1052 @ X1053)))&(~X1052 @ X1063|(esk45_2 @ X1052 @ X1053)=(X1063)|((X1060)!=(esk44_3 @ X1052 @ X1053 @ X1060)|~X1053 @ X1060)|(~X1052 @ (esk40_2 @ X1052 @ X1053)|~X1053 @ (esk41_2 @ X1052 @ X1053))))))&((((X1053 @ (esk43_2 @ X1052 @ X1053)|(X1052 @ (esk42_3 @ X1052 @ X1053 @ X1056)|~X1052 @ X1056)|(X1052 @ (esk40_2 @ X1052 @ X1053)|X1053 @ (esk41_2 @ X1052 @ X1053)))&(~X1053 @ X1059|(esk43_2 @ X1052 @ X1053)=(X1059)|(X1052 @ (esk42_3 @ X1052 @ X1053 @ X1056)|~X1052 @ X1056)|(X1052 @ (esk40_2 @ X1052 @ X1053)|X1053 @ (esk41_2 @ X1052 @ X1053))))&((X1053 @ (esk43_2 @ X1052 @ X1053)|((X1056)!=(esk42_3 @ X1052 @ X1053 @ X1056)|~X1052 @ X1056)|(X1052 @ (esk40_2 @ X1052 @ X1053)|X1053 @ (esk41_2 @ X1052 @ X1053)))&(~X1053 @ X1059|(esk43_2 @ X1052 @ X1053)=(X1059)|((X1056)!=(esk42_3 @ X1052 @ X1053 @ X1056)|~X1052 @ X1056)|(X1052 @ (esk40_2 @ X1052 @ X1053)|X1053 @ (esk41_2 @ X1052 @ X1053)))))&(((X1052 @ (esk45_2 @ X1052 @ X1053)|(X1053 @ (esk44_3 @ X1052 @ X1053 @ X1060)|~X1053 @ X1060)|(X1052 @ (esk40_2 @ X1052 @ X1053)|X1053 @ (esk41_2 @ X1052 @ X1053)))&(~X1052 @ X1063|(esk45_2 @ X1052 @ X1053)=(X1063)|(X1053 @ (esk44_3 @ X1052 @ X1053 @ X1060)|~X1053 @ X1060)|(X1052 @ (esk40_2 @ X1052 @ X1053)|X1053 @ (esk41_2 @ X1052 @ X1053))))&((X1052 @ (esk45_2 @ X1052 @ X1053)|((X1060)!=(esk44_3 @ X1052 @ X1053 @ X1060)|~X1053 @ X1060)|(X1052 @ (esk40_2 @ X1052 @ X1053)|X1053 @ (esk41_2 @ X1052 @ X1053)))&(~X1052 @ X1063|(esk45_2 @ X1052 @ X1053)=(X1063)|((X1060)!=(esk44_3 @ X1052 @ X1053 @ X1060)|~X1053 @ X1060)|(X1052 @ (esk40_2 @ X1052 @ X1053)|X1053 @ (esk41_2 @ X1052 @ X1053))))))))&((emptyset)=(emptyset)&(((X1064)!=(X1065)|((X1066)!=(X1067)|(setadjoin @ X1064 @ X1066)=(setadjoin @ X1065 @ X1067)))&(((X1068)!=(X1069)|(powerset @ X1068)=(powerset @ X1069))&(((X1070)!=(X1071)|(setunion @ X1070)=(setunion @ X1071))&((omega)=(omega)&(((X1072 @ (esk46_2 @ X1072 @ X1073)|~X1072 @ X1073|(~X1072 @ X1075|(~X1072 @ X1076|(X1075)=(X1076))))&((X1073)!=(esk46_2 @ X1072 @ X1073)|~X1072 @ X1073|(~X1072 @ X1075|(~X1072 @ X1076|(X1075)=(X1076)))))&(((((X1078 @ (esk50_3 @ X1077 @ X1078 @ X1083)|~X1078 @ X1083|(descr @ (epred1_2 @ X1077))=(descr @ (epred1_2 @ X1078))|(X1077 @ (esk49_3 @ X1077 @ X1078 @ X1081)|~X1077 @ X1081)|(esk47_2 @ X1077 @ X1078)=(esk48_2 @ X1077 @ X1078))&((X1083)!=(esk50_3 @ X1077 @ X1078 @ X1083)|~X1078 @ X1083|(descr @ (epred1_2 @ X1077))=(descr @ (epred1_2 @ X1078))|(X1077 @ (esk49_3 @ X1077 @ X1078 @ X1081)|~X1077 @ X1081)|(esk47_2 @ X1077 @ X1078)=(esk48_2 @ X1077 @ X1078)))&((X1078 @ (esk50_3 @ X1077 @ X1078 @ X1083)|~X1078 @ X1083|(descr @ (epred1_2 @ X1077))=(descr @ (epred1_2 @ X1078))|((X1081)!=(esk49_3 @ X1077 @ X1078 @ X1081)|~X1077 @ X1081)|(esk47_2 @ X1077 @ X1078)=(esk48_2 @ X1077 @ X1078))&((X1083)!=(esk50_3 @ X1077 @ X1078 @ X1083)|~X1078 @ X1083|(descr @ (epred1_2 @ X1077))=(descr @ (epred1_2 @ X1078))|((X1081)!=(esk49_3 @ X1077 @ X1078 @ X1081)|~X1077 @ X1081)|(esk47_2 @ X1077 @ X1078)=(esk48_2 @ X1077 @ X1078))))&((((X1078 @ (esk50_3 @ X1077 @ X1078 @ X1083)|~X1078 @ X1083|(descr @ (epred1_2 @ X1077))=(descr @ (epred1_2 @ X1078))|(X1077 @ (esk49_3 @ X1077 @ X1078 @ X1081)|~X1077 @ X1081)|(~X1077 @ (esk47_2 @ X1077 @ X1078)|~X1078 @ (esk48_2 @ X1077 @ X1078)))&((X1083)!=(esk50_3 @ X1077 @ X1078 @ X1083)|~X1078 @ X1083|(descr @ (epred1_2 @ X1077))=(descr @ (epred1_2 @ X1078))|(X1077 @ (esk49_3 @ X1077 @ X1078 @ X1081)|~X1077 @ X1081)|(~X1077 @ (esk47_2 @ X1077 @ X1078)|~X1078 @ (esk48_2 @ X1077 @ X1078))))&((X1078 @ (esk50_3 @ X1077 @ X1078 @ X1083)|~X1078 @ X1083|(descr @ (epred1_2 @ X1077))=(descr @ (epred1_2 @ X1078))|((X1081)!=(esk49_3 @ X1077 @ X1078 @ X1081)|~X1077 @ X1081)|(~X1077 @ (esk47_2 @ X1077 @ X1078)|~X1078 @ (esk48_2 @ X1077 @ X1078)))&((X1083)!=(esk50_3 @ X1077 @ X1078 @ X1083)|~X1078 @ X1083|(descr @ (epred1_2 @ X1077))=(descr @ (epred1_2 @ X1078))|((X1081)!=(esk49_3 @ X1077 @ X1078 @ X1081)|~X1077 @ X1081)|(~X1077 @ (esk47_2 @ X1077 @ X1078)|~X1078 @ (esk48_2 @ X1077 @ X1078)))))&(((X1078 @ (esk50_3 @ X1077 @ X1078 @ X1083)|~X1078 @ X1083|(descr @ (epred1_2 @ X1077))=(descr @ (epred1_2 @ X1078))|(X1077 @ (esk49_3 @ X1077 @ X1078 @ X1081)|~X1077 @ X1081)|(X1077 @ (esk47_2 @ X1077 @ X1078)|X1078 @ (esk48_2 @ X1077 @ X1078)))&((X1083)!=(esk50_3 @ X1077 @ X1078 @ X1083)|~X1078 @ X1083|(descr @ (epred1_2 @ X1077))=(descr @ (epred1_2 @ X1078))|(X1077 @ (esk49_3 @ X1077 @ X1078 @ X1081)|~X1077 @ X1081)|(X1077 @ (esk47_2 @ X1077 @ X1078)|X1078 @ (esk48_2 @ X1077 @ X1078))))&((X1078 @ (esk50_3 @ X1077 @ X1078 @ X1083)|~X1078 @ X1083|(descr @ (epred1_2 @ X1077))=(descr @ (epred1_2 @ X1078))|((X1081)!=(esk49_3 @ X1077 @ X1078 @ X1081)|~X1077 @ X1081)|(X1077 @ (esk47_2 @ X1077 @ X1078)|X1078 @ (esk48_2 @ X1077 @ X1078)))&((X1083)!=(esk50_3 @ X1077 @ X1078 @ X1083)|~X1078 @ X1083|(descr @ (epred1_2 @ X1077))=(descr @ (epred1_2 @ X1078))|((X1081)!=(esk49_3 @ X1077 @ X1078 @ X1081)|~X1077 @ X1081)|(X1077 @ (esk47_2 @ X1077 @ X1078)|X1078 @ (esk48_2 @ X1077 @ X1078)))))))&(((in @ (esk51_4 @ X1085 @ X1086 @ X1087 @ X1088) @ X1085|(dsetconstr @ X1085 @ (epred1_2 @ X1087))=(dsetconstr @ X1086 @ (epred1_2 @ X1088))|(X1085)!=(X1086))&((in @ (esk52_4 @ X1085 @ X1086 @ X1087 @ X1088) @ X1086|(dsetconstr @ X1085 @ (epred1_2 @ X1087))=(dsetconstr @ X1086 @ (epred1_2 @ X1088))|(X1085)!=(X1086))&(((esk51_4 @ X1085 @ X1086 @ X1087 @ X1088)=(esk52_4 @ X1085 @ X1086 @ X1087 @ X1088)|(dsetconstr @ X1085 @ (epred1_2 @ X1087))=(dsetconstr @ X1086 @ (epred1_2 @ X1088))|(X1085)!=(X1086))&((~X1087 @ (esk51_4 @ X1085 @ X1086 @ X1087 @ X1088)|~X1088 @ (esk52_4 @ X1085 @ X1086 @ X1087 @ X1088)|(dsetconstr @ X1085 @ (epred1_2 @ X1087))=(dsetconstr @ X1086 @ (epred1_2 @ X1088))|(X1085)!=(X1086))&(X1087 @ (esk51_4 @ X1085 @ X1086 @ X1087 @ X1088)|X1088 @ (esk52_4 @ X1085 @ X1086 @ X1087 @ X1088)|(dsetconstr @ X1085 @ (epred1_2 @ X1087))=(dsetconstr @ X1086 @ (epred1_2 @ X1088))|(X1085)!=(X1086))))))&(((in @ (esk53_2 @ X1091 @ X1092) @ X1091|subset @ X1091 @ X1092)&(~in @ (esk53_2 @ X1091 @ X1092) @ X1092|subset @ X1091 @ X1092))&(((X1094)!=(X1095)|subset @ X1095 @ X1094)&(((X1096)!=(X1097)|subset @ X1096 @ X1097)&(((in @ (esk54_2 @ X1098 @ X1099) @ X1098|subset @ X1098 @ X1099)&(~in @ (esk54_2 @ X1098 @ X1099) @ X1099|subset @ X1098 @ X1099))&(subset @ emptyset @ X1101&((~subset @ X1102 @ X1103|(~in @ X1104 @ X1102|in @ X1104 @ X1103))&((~subset @ X1105 @ X1106|(in @ X1107 @ X1106|~in @ X1107 @ X1105))&((~in @ X1110 @ X1108|(in @ X1110 @ X1109|~subset @ X1108 @ X1109))&((subset @ X1111 @ X1112|(X1111)!=(X1112))&((~in @ X1115 @ X1113|(in @ X1115 @ X1114|(X1113)!=(X1114)))&(subset @ X1116 @ X1116&((~subset @ X1117 @ X1118|(~subset @ X1118 @ X1119|subset @ X1117 @ X1119))&(subset @ X1121 @ (setadjoin @ X1120 @ X1121)&((~subset @ X1122 @ X1124|subset @ X1122 @ (setadjoin @ X1123 @ X1124))&((~subset @ X1125 @ X1126|in @ X1125 @ (powerset @ X1126))&((~subset @ X1127 @ X1128|(~subset @ X1128 @ X1127|(X1127)=(X1128)))&((~subset @ X1129 @ emptyset|(X1129)=(emptyset))&((~subset @ X1131 @ X1130|in @ X1131 @ (powerset @ X1130))&((~in @ X1133 @ (powerset @ X1132)|subset @ X1133 @ X1132)&(in @ X1134 @ (powerset @ X1134)&((~subset @ X1135 @ X1136|subset @ (powerset @ X1135) @ (powerset @ X1136))&(in @ (dsetconstr @ X1137 @ (epred1_2 @ X1138)) @ (powerset @ X1137)&(subset @ (dsetconstr @ X1139 @ (epred1_2 @ X1140)) @ X1139&((~in @ X1143 @ X1141|in @ X1143 @ (binunion @ X1141 @ X1142))&(in @ X1145 @ (setadjoin @ X1144 @ (setadjoin @ X1145 @ emptyset))&((~in @ X1148 @ X1147|in @ X1148 @ 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X1488|~subset @ X1488 @ (cartprod @ X1485 @ X1486)|~subset @ X1487 @ (cartprod @ X1485 @ X1486)))))&((((in @ (esk77_4 @ X1491 @ X1492 @ X1493 @ X1494) @ X1491|(X1493)=(X1494)|in @ (esk75_4 @ X1491 @ X1492 @ X1493 @ X1494) @ X1491|~subset @ X1494 @ (cartprod @ X1491 @ X1492)|~subset @ X1493 @ (cartprod @ X1491 @ X1492))&((in @ (esk78_4 @ X1491 @ X1492 @ X1493 @ X1494) @ X1492|(X1493)=(X1494)|in @ (esk75_4 @ X1491 @ X1492 @ X1493 @ X1494) @ X1491|~subset @ X1494 @ (cartprod @ X1491 @ X1492)|~subset @ X1493 @ (cartprod @ X1491 @ X1492))&((in @ (kpair @ (esk77_4 @ X1491 @ X1492 @ X1493 @ X1494) @ (esk78_4 @ X1491 @ X1492 @ X1493 @ X1494)) @ X1494|(X1493)=(X1494)|in @ (esk75_4 @ X1491 @ X1492 @ X1493 @ X1494) @ X1491|~subset @ X1494 @ (cartprod @ X1491 @ X1492)|~subset @ X1493 @ (cartprod @ X1491 @ X1492))&(~in @ (kpair @ (esk77_4 @ X1491 @ X1492 @ X1493 @ X1494) @ (esk78_4 @ X1491 @ X1492 @ X1493 @ X1494)) @ X1493|(X1493)=(X1494)|in @ (esk75_4 @ X1491 @ X1492 @ X1493 @ X1494) @ X1491|~subset @ X1494 @ (cartprod @ X1491 @ X1492)|~subset @ X1493 @ (cartprod @ X1491 @ X1492)))))&(((in @ (esk77_4 @ X1491 @ X1492 @ X1493 @ X1494) @ X1491|(X1493)=(X1494)|in @ (esk76_4 @ X1491 @ X1492 @ X1493 @ X1494) @ X1492|~subset @ X1494 @ (cartprod @ X1491 @ X1492)|~subset @ X1493 @ (cartprod @ X1491 @ X1492))&((in @ (esk78_4 @ X1491 @ X1492 @ X1493 @ X1494) @ X1492|(X1493)=(X1494)|in @ (esk76_4 @ X1491 @ X1492 @ X1493 @ X1494) @ X1492|~subset @ X1494 @ (cartprod @ X1491 @ X1492)|~subset @ X1493 @ (cartprod @ X1491 @ X1492))&((in @ (kpair @ (esk77_4 @ X1491 @ X1492 @ X1493 @ X1494) @ (esk78_4 @ X1491 @ X1492 @ X1493 @ X1494)) @ X1494|(X1493)=(X1494)|in @ (esk76_4 @ X1491 @ X1492 @ X1493 @ X1494) @ X1492|~subset @ X1494 @ (cartprod @ X1491 @ X1492)|~subset @ X1493 @ (cartprod @ X1491 @ X1492))&(~in @ (kpair @ (esk77_4 @ X1491 @ X1492 @ X1493 @ X1494) @ (esk78_4 @ X1491 @ X1492 @ X1493 @ X1494)) @ X1493|(X1493)=(X1494)|in @ (esk76_4 @ X1491 @ X1492 @ X1493 @ X1494) @ X1492|~subset @ X1494 @ (cartprod @ X1491 @ X1492)|~subset @ X1493 @ (cartprod @ X1491 @ X1492)))))&(((in @ (esk77_4 @ X1491 @ X1492 @ X1493 @ X1494) @ X1491|(X1493)=(X1494)|in @ (kpair @ (esk75_4 @ X1491 @ X1492 @ X1493 @ X1494) @ (esk76_4 @ X1491 @ X1492 @ X1493 @ X1494)) @ X1493|~subset @ X1494 @ (cartprod @ X1491 @ X1492)|~subset @ X1493 @ (cartprod @ X1491 @ X1492))&((in @ (esk78_4 @ X1491 @ X1492 @ X1493 @ X1494) @ X1492|(X1493)=(X1494)|in @ (kpair @ (esk75_4 @ X1491 @ X1492 @ X1493 @ X1494) @ (esk76_4 @ X1491 @ X1492 @ X1493 @ X1494)) @ X1493|~subset @ X1494 @ (cartprod @ X1491 @ X1492)|~subset @ X1493 @ (cartprod @ X1491 @ X1492))&((in @ (kpair @ (esk77_4 @ X1491 @ X1492 @ X1493 @ X1494) @ (esk78_4 @ X1491 @ X1492 @ X1493 @ X1494)) @ X1494|(X1493)=(X1494)|in @ (kpair @ (esk75_4 @ X1491 @ X1492 @ X1493 @ X1494) @ (esk76_4 @ X1491 @ X1492 @ X1493 @ X1494)) @ X1493|~subset @ X1494 @ (cartprod @ X1491 @ X1492)|~subset @ X1493 @ (cartprod @ X1491 @ X1492))&(~in @ (kpair @ (esk77_4 @ X1491 @ X1492 @ X1493 @ X1494) @ (esk78_4 @ X1491 @ X1492 @ X1493 @ X1494)) @ X1493|(X1493)=(X1494)|in @ (kpair @ (esk75_4 @ X1491 @ X1492 @ X1493 @ X1494) @ (esk76_4 @ X1491 @ X1492 @ X1493 @ X1494)) @ X1493|~subset @ X1494 @ (cartprod @ X1491 @ X1492)|~subset @ X1493 @ (cartprod @ X1491 @ X1492)))))&((in @ (esk77_4 @ X1491 @ X1492 @ X1493 @ X1494) @ X1491|(X1493)=(X1494)|~in @ (kpair @ (esk75_4 @ X1491 @ X1492 @ X1493 @ X1494) @ (esk76_4 @ X1491 @ X1492 @ X1493 @ X1494)) @ X1494|~subset @ X1494 @ (cartprod @ X1491 @ X1492)|~subset @ X1493 @ (cartprod @ X1491 @ X1492))&((in @ (esk78_4 @ X1491 @ X1492 @ X1493 @ X1494) @ X1492|(X1493)=(X1494)|~in @ (kpair @ (esk75_4 @ X1491 @ X1492 @ X1493 @ X1494) @ (esk76_4 @ X1491 @ X1492 @ X1493 @ X1494)) @ X1494|~subset @ X1494 @ (cartprod @ X1491 @ X1492)|~subset @ X1493 @ (cartprod @ X1491 @ X1492))&((in @ (kpair @ (esk77_4 @ X1491 @ X1492 @ X1493 @ X1494) @ (esk78_4 @ X1491 @ X1492 @ X1493 @ X1494)) @ X1494|(X1493)=(X1494)|~in @ (kpair @ (esk75_4 @ X1491 @ X1492 @ X1493 @ X1494) @ (esk76_4 @ X1491 @ X1492 @ X1493 @ X1494)) @ X1494|~subset @ X1494 @ (cartprod @ X1491 @ X1492)|~subset @ X1493 @ (cartprod @ X1491 @ X1492))&(~in @ (kpair @ (esk77_4 @ X1491 @ X1492 @ X1493 @ X1494) @ (esk78_4 @ X1491 @ X1492 @ X1493 @ X1494)) @ X1493|(X1493)=(X1494)|~in @ (kpair @ (esk75_4 @ X1491 @ X1492 @ X1493 @ X1494) @ (esk76_4 @ X1491 @ X1492 @ X1493 @ X1494)) @ X1494|~subset @ X1494 @ (cartprod @ X1491 @ X1492)|~subset @ X1493 @ (cartprod @ X1491 @ X1492))))))))&(((in @ (esk79_4 @ X1499 @ X1500 @ X1501 @ X1502) @ X1499|(X1501)=(X1502)|~func @ X1499 @ X1500 @ X1502|~func @ X1499 @ X1500 @ X1501)&((ap @ X1499 @ X1500 @ X1501 @ (esk79_4 @ X1499 @ X1500 @ X1501 @ X1502))!=(ap @ X1499 @ X1500 @ X1502 @ (esk79_4 @ X1499 @ X1500 @ X1501 @ X1502))|(X1501)=(X1502)|~func @ X1499 @ X1500 @ X1502|~func @ X1499 @ X1500 @ X1501))&(((in @ (esk80_4 @ X1504 @ X1505 @ X1506 @ X1507) @ X1504|(X1506)=(X1507)|~in @ X1507 @ (funcSet @ X1504 @ X1505)|~in @ X1506 @ (funcSet @ X1504 @ X1505))&((ap @ X1504 @ X1505 @ X1506 @ (esk80_4 @ X1504 @ X1505 @ X1506 @ X1507))!=(ap @ X1504 @ X1505 @ X1507 @ (esk80_4 @ X1504 @ X1505 @ X1506 @ X1507))|(X1506)=(X1507)|~in @ X1507 @ (funcSet @ X1504 @ X1505)|~in @ X1506 @ (funcSet @ X1504 @ X1505)))&((~in @ X1511 @ (funcSet @ X1509 @ X1510)|(~in @ X1512 @ X1509|(ap @ X1509 @ X1510 @ X1511 @ X1512)=(ap @ X1509 @ X1510 @ X1511 @ X1512)))&((~func @ X1513 @ X1514 @ X1515|(~in @ X1516 @ X1513|(ap @ X1513 @ X1514 @ X1515 @ X1516)=(ap @ X1513 @ X1514 @ X1515 @ X1516)))&(((in @ (esk81_3 @ X1517 @ X1518 @ X1519) @ X1517|(~in @ X1521 @ X1517|(ap @ X1517 @ X1518 @ (lam @ X1517 @ X1518 @ (esk1_2 @ X1519)) @ X1521)=(X1519 @ X1521)))&(~in @ (X1519 @ (esk81_3 @ X1517 @ X1518 @ X1519)) @ X1518|(~in @ X1521 @ X1517|(ap @ X1517 @ X1518 @ (lam @ X1517 @ X1518 @ (esk1_2 @ X1519)) @ X1521)=(X1519 @ X1521))))&((~func @ X1522 @ X1523 @ X1524|(lam @ X1522 @ X1523 @ (esk1_2 @ (ap @ X1522 @ X1523 @ X1524)))=(X1524))&(((in @ (esk82_3 @ X1525 @ X1526 @ X1527) @ X1525|(lam @ X1525 @ X1526 @ (esk1_2 @ X1527))=(lam @ X1525 @ X1526 @ (esk1_2 @ X1527)))&(~in @ (X1527 @ (esk82_3 @ X1525 @ X1526 @ X1527)) @ X1526|(lam @ X1525 @ X1526 @ (esk1_2 @ X1527))=(lam @ X1525 @ X1526 @ (esk1_2 @ X1527))))&(((in @ (esk83_3 @ X1529 @ X1530 @ X1531) @ X1529|(~in @ X1533 @ X1529|(ap @ X1529 @ X1530 @ (lam @ X1529 @ X1530 @ (esk1_2 @ X1531)) @ X1533)=(X1531 @ X1533)))&(~in @ (X1531 @ (esk83_3 @ X1529 @ X1530 @ X1531)) @ X1530|(~in @ X1533 @ X1529|(ap @ X1529 @ X1530 @ (lam @ X1529 @ X1530 @ (esk1_2 @ X1531)) @ X1533)=(X1531 @ X1533))))&((~in @ X1536 @ (funcSet @ X1534 @ X1535)|(lam @ X1534 @ X1535 @ (esk1_2 @ (ap @ X1534 @ X1535 @ X1536)))=(X1536))&((~in @ X1539 @ X1537|(~in @ X1540 @ X1537|(X1538|in @ X1540 @ (dsetconstr @ X1537 @ (epred4_4 @ X1540 @ X1538 @ X1539)))))&((~in @ X1543 @ X1541|(~in @ X1544 @ X1541|(X1542|(dsetconstr @ X1541 @ (epred4_4 @ X1544 @ X1542 @ X1543))=(setadjoin @ X1544 @ emptyset))))&((~in @ X1547 @ X1545|(~in @ X1548 @ X1545|(~X1546|in @ X1547 @ (dsetconstr @ X1545 @ (epred4_4 @ X1548 @ X1546 @ X1547)))))&((~in @ X1551 @ X1549|(~in @ X1552 @ X1549|(~X1550|(dsetconstr @ X1549 @ (epred4_4 @ X1552 @ X1550 @ X1551))=(setadjoin @ X1551 @ emptyset))))&((~in @ X1555 @ X1553|(~in @ X1556 @ X1553|singleton @ (dsetconstr @ X1553 @ (epred4_4 @ X1556 @ X1554 @ X1555))))&(((~X1558|in @ (if @ X1557 @ $true @ X1559 @ X1560) @ X1557|~in @ X1560 @ X1557|~in @ X1559 @ X1557)&(X1558|in @ (if @ X1557 @ $false @ X1559 @ X1560) @ X1557|~in @ X1560 @ X1557|~in @ X1559 @ X1557))&((~singleton @ X1561|(~in @ X1562 @ X1561|(setunion @ X1561)=(X1562)))&(((~X1564|(if @ X1563 @ $true @ X1565 @ X1566)=(X1565)|~X1564|~in @ X1566 @ X1563|~in @ X1565 @ X1563)&(X1564|(if @ X1563 @ $false @ X1565 @ X1566)=(X1565)|~X1564|~in @ X1566 @ X1563|~in @ X1565 @ X1563))&(((~X1568|(if @ X1567 @ $true @ X1569 @ X1570)=(X1570)|X1568|~in @ X1570 @ X1567|~in @ X1569 @ X1567)&(X1568|(if @ X1567 @ $false @ X1569 @ X1570)=(X1570)|X1568|~in @ X1570 @ X1567|~in @ X1569 @ X1567))&(((~X1572|in @ (if @ X1571 @ $true @ X1573 @ X1574) @ (setadjoin @ X1573 @ (setadjoin @ X1574 @ emptyset))|~in @ X1574 @ X1571|~in @ X1573 @ X1571)&(X1572|in @ (if @ X1571 @ $false @ X1573 @ X1574) @ (setadjoin @ X1573 @ (setadjoin @ X1574 @ emptyset))|~in @ X1574 @ X1571|~in @ X1573 @ X1571))&((~in @ X1576 @ (powerset @ X1575)|(~in @ X1577 @ (powerset @ X1575)|in @ (binintersect @ X1576 @ X1577) @ (powerset @ X1575)))&((~in @ X1579 @ (powerset @ X1578)|(~in @ X1580 @ (powerset @ X1578)|in @ (binunion @ X1579 @ X1580) @ (powerset @ X1578)))&((~in @ X1582 @ (powerset @ X1581)|in @ (powerset @ X1582) @ (powerset @ (powerset @ X1581)))&((~in @ X1584 @ (powerset @ X1583)|(~in @ X1585 @ (powerset @ X1583)|in @ (setminus @ X1584 @ X1585) @ (powerset @ X1583)))&((~in @ X1587 @ (powerset @ X1586)|in @ (setminus @ X1586 @ X1587) @ (powerset @ X1586))&((((in @ (esk85_3 @ X1588 @ X1589 @ X1590) @ X1588|(X1589)=(X1590)|in @ (esk84_3 @ X1588 @ X1589 @ X1590) @ X1588|~in @ X1590 @ (powerset @ X1588)|~in @ X1589 @ (powerset @ X1588))&((in @ (esk85_3 @ X1588 @ X1589 @ X1590) @ X1590|(X1589)=(X1590)|in @ (esk84_3 @ X1588 @ X1589 @ X1590) @ X1588|~in @ X1590 @ (powerset @ X1588)|~in @ X1589 @ (powerset @ X1588))&(~in @ (esk85_3 @ X1588 @ X1589 @ X1590) @ X1589|(X1589)=(X1590)|in @ (esk84_3 @ X1588 @ X1589 @ X1590) @ X1588|~in @ X1590 @ (powerset @ X1588)|~in @ X1589 @ (powerset @ X1588))))&(((in @ (esk85_3 @ X1588 @ X1589 @ X1590) @ X1588|(X1589)=(X1590)|in @ (esk84_3 @ X1588 @ X1589 @ X1590) @ X1589|~in @ X1590 @ (powerset @ X1588)|~in @ X1589 @ (powerset @ X1588))&((in @ (esk85_3 @ X1588 @ X1589 @ X1590) @ X1590|(X1589)=(X1590)|in @ (esk84_3 @ X1588 @ X1589 @ X1590) @ X1589|~in @ X1590 @ (powerset @ X1588)|~in @ X1589 @ (powerset @ X1588))&(~in @ (esk85_3 @ X1588 @ X1589 @ X1590) @ X1589|(X1589)=(X1590)|in @ (esk84_3 @ X1588 @ X1589 @ X1590) @ X1589|~in @ X1590 @ (powerset @ X1588)|~in @ X1589 @ (powerset @ X1588))))&((in @ (esk85_3 @ X1588 @ X1589 @ X1590) @ X1588|(X1589)=(X1590)|~in @ (esk84_3 @ X1588 @ X1589 @ X1590) @ X1590|~in @ X1590 @ (powerset @ X1588)|~in @ X1589 @ (powerset @ X1588))&((in @ (esk85_3 @ X1588 @ X1589 @ X1590) @ X1590|(X1589)=(X1590)|~in @ (esk84_3 @ X1588 @ X1589 @ X1590) @ X1590|~in @ X1590 @ (powerset @ X1588)|~in @ X1589 @ (powerset @ X1588))&(~in @ (esk85_3 @ X1588 @ X1589 @ X1590) @ X1589|(X1589)=(X1590)|~in @ (esk84_3 @ X1588 @ X1589 @ X1590) @ X1590|~in @ X1590 @ (powerset @ X1588)|~in @ X1589 @ (powerset @ X1588))))))&(((in @ (esk86_3 @ X1593 @ X1594 @ X1595) @ X1593|subset @ X1594 @ X1595|~in @ X1595 @ (powerset @ X1593)|~in @ X1594 @ (powerset @ X1593))&((in @ (esk86_3 @ X1593 @ X1594 @ X1595) @ X1594|subset @ X1594 @ X1595|~in @ X1595 @ (powerset @ X1593)|~in @ X1594 @ (powerset @ X1593))&(~in @ (esk86_3 @ X1593 @ X1594 @ X1595) @ X1595|subset @ X1594 @ X1595|~in @ X1595 @ (powerset @ X1593)|~in @ X1594 @ (powerset @ X1593))))&(((in @ (esk87_3 @ X1597 @ X1598 @ X1599) @ X1597|in @ X1598 @ (powerset @ X1599)|~in @ X1599 @ (powerset @ X1597)|~in @ X1598 @ (powerset @ X1597))&((in @ (esk87_3 @ X1597 @ X1598 @ X1599) @ X1598|in @ X1598 @ (powerset @ X1599)|~in @ X1599 @ (powerset @ X1597)|~in @ X1598 @ (powerset @ X1597))&(~in @ (esk87_3 @ X1597 @ X1598 @ X1599) @ X1599|in @ X1598 @ (powerset @ X1599)|~in @ X1599 @ (powerset @ X1597)|~in @ X1598 @ (powerset @ X1597))))&((~in @ X1602 @ (powerset @ X1601)|(~in @ X1603 @ (powerset @ X1601)|(~in @ X1604 @ X1601|(~in @ X1602 @ (powerset @ X1603)|(~in @ X1604 @ X1602|in @ X1604 @ X1603)))))&((~in @ X1606 @ (powerset @ X1605)|(~in @ X1607 @ X1605|(~in @ X1607 @ X1606|~in @ X1607 @ (setminus @ X1605 @ X1606))))&((~in @ X1609 @ (powerset @ X1608)|(~in @ X1610 @ X1608|(in @ X1610 @ (setminus @ X1608 @ X1609)|in @ X1610 @ X1609)))&((~in @ X1612 @ (powerset @ X1611)|(~in @ X1613 @ (powerset @ X1611)|(~in @ X1614 @ X1611|(in @ X1614 @ X1612|~in @ X1614 @ (binintersect @ X1612 @ X1613)))))&((~in @ X1616 @ (powerset @ X1615)|(~in @ X1617 @ (powerset @ X1615)|(~in @ X1618 @ X1615|(in @ X1618 @ X1617|~in @ X1618 @ (binintersect @ X1616 @ X1617)))))&((~in @ X1620 @ (powerset @ X1619)|(~in @ X1621 @ (powerset @ X1619)|(~in @ X1622 @ X1619|(~subset @ X1620 @ (setminus @ X1619 @ X1621)|(~in @ X1622 @ X1621|~in @ X1622 @ X1620)))))&((~in @ X1624 @ (powerset @ X1623)|(~in @ X1625 @ (powerset @ X1623)|(~in @ X1626 @ X1623|(~subset @ X1624 @ X1625|(in @ X1626 @ X1625|~in @ X1626 @ X1624)))))&((~in @ X1628 @ (powerset @ X1627)|(~in @ X1629 @ (powerset @ X1627)|(~subset @ X1628 @ X1629|subset @ (setminus @ X1627 @ X1629) @ (setminus @ X1627 @ X1628))))&((~in @ X1631 @ (powerset @ X1630)|(~in @ X1632 @ (powerset @ X1630)|(~subset @ (setminus @ X1630 @ X1632) @ (setminus @ X1630 @ X1631)|subset @ X1631 @ X1632)))&((~in @ X1634 @ (powerset @ X1633)|(~in @ X1635 @ X1633|(~in @ X1635 @ X1634|in @ X1635 @ (setminus @ X1633 @ (setminus @ X1633 @ X1634)))))&((~in @ X1637 @ (powerset @ X1636)|(~in @ X1638 @ X1636|(~in @ X1638 @ (setminus @ X1636 @ (setminus @ X1636 @ X1637))|in @ X1638 @ X1637)))&((~in @ X1640 @ (powerset @ X1639)|subset @ X1640 @ (setminus @ X1639 @ (setminus @ X1639 @ X1640)))&((~in @ X1642 @ (powerset @ X1641)|subset @ (setminus @ X1641 @ (setminus @ X1641 @ X1642)) @ X1642)&((~in @ X1644 @ (powerset @ X1643)|(X1644)=(setminus @ X1643 @ (setminus @ X1643 @ X1644)))&((~in @ X1646 @ (powerset @ X1645)|(~in @ X1647 @ (powerset @ X1645)|(~in @ X1648 @ X1645|(~in @ X1648 @ (setminus @ X1645 @ X1646)|~in @ X1648 @ (binintersect @ X1646 @ X1647)))))&(in @ esk89_0 @ (powerset @ esk88_0)&(in @ esk90_0 @ (powerset @ esk88_0)&(in @ esk91_0 @ esk88_0&(in @ esk91_0 @ (setminus @ esk88_0 @ esk89_0)&~in @ esk91_0 @ (setminus @ esk88_0 @ (binintersect @ esk89_0 @ esk90_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_289])])])])])])).
0.58/0.75	thf(c_0_291, negated_conjecture, ~in @ esk91_0 @ (setminus @ esk88_0 @ (binintersect @ esk89_0 @ esk90_0)), inference(split_conjunct,[status(thm)],[c_0_290])).
0.58/0.75	thf(c_0_292, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(in @ X2 @ (setminus @ X3 @ X4)|in @ X2 @ X4|~in @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_290])).
0.58/0.75	thf(c_0_293, negated_conjecture, in @ esk91_0 @ esk88_0, inference(split_conjunct,[status(thm)],[c_0_290])).
0.58/0.75	thf(c_0_294, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(~in @ X2 @ (setminus @ X3 @ X4)|~in @ X2 @ X4), inference(split_conjunct,[status(thm)],[c_0_290])).
0.58/0.75	thf(c_0_295, negated_conjecture, in @ esk91_0 @ (setminus @ esk88_0 @ esk89_0), inference(split_conjunct,[status(thm)],[c_0_290])).
0.58/0.75	thf(c_0_296, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(in @ X2 @ X3|~in @ X2 @ (binintersect @ X3 @ X4)), inference(split_conjunct,[status(thm)],[c_0_290])).
0.58/0.75	thf(c_0_297, negated_conjecture, in @ esk91_0 @ (binintersect @ esk89_0 @ esk90_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291, c_0_292]), c_0_293])])).
0.58/0.75	thf(c_0_298, negated_conjecture, ~in @ esk91_0 @ esk89_0, inference(spm,[status(thm)],[c_0_294, c_0_295])).
0.58/0.75	thf(c_0_299, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_296, c_0_297]), c_0_298]), ['proof']).
0.58/0.75	# SZS output end CNFRefutation
0.58/0.75	# Proof object total steps             : 300
0.58/0.75	# Proof object clause steps            : 9
0.58/0.75	# Proof object formula steps           : 291
0.58/0.75	# Proof object conjectures             : 12
0.58/0.75	# Proof object clause conjectures      : 9
0.58/0.75	# Proof object formula conjectures     : 3
0.58/0.75	# Proof object initial clauses used    : 6
0.58/0.75	# Proof object initial formulas used   : 254
0.58/0.75	# Proof object generating inferences   : 3
0.58/0.75	# Proof object simplifying inferences  : 3
0.58/0.75	# Training examples: 0 positive, 0 negative
0.58/0.75	# Parsed axioms                        : 541
0.58/0.75	# Removed by relevancy pruning/SinE    : 0
0.58/0.75	# Initial clauses                      : 750
0.58/0.75	# Removed in clause preprocessing      : 322
0.58/0.75	# Initial clauses in saturation        : 428
0.58/0.75	# Processed clauses                    : 512
0.58/0.75	# ...of these trivial                  : 10
0.58/0.75	# ...subsumed                          : 67
0.58/0.75	# ...remaining for further processing  : 435
0.58/0.75	# Other redundant clauses eliminated   : 1005
0.58/0.75	# Clauses deleted for lack of memory   : 0
0.58/0.75	# Backward-subsumed                    : 0
0.58/0.75	# Backward-rewritten                   : 13
0.58/0.75	# Generated clauses                    : 12429
0.58/0.75	# ...of the previous two non-trivial   : 10875
0.58/0.75	# Contextual simplify-reflections      : 4
0.58/0.75	# Paramodulations                      : 10209
0.58/0.75	# Factorizations                       : 2
0.58/0.75	# NegExts                              : 0
0.58/0.75	# Equation resolutions                 : 1013
0.58/0.75	# Propositional unsat checks           : 0
0.58/0.75	#    Propositional check models        : 0
0.58/0.75	#    Propositional check unsatisfiable : 0
0.58/0.75	#    Propositional clauses             : 0
0.58/0.75	#    Propositional clauses after purity: 0
0.58/0.75	#    Propositional unsat core size     : 0
0.58/0.75	#    Propositional preprocessing time  : 0.000
0.58/0.75	#    Propositional encoding time       : 0.000
0.58/0.75	#    Propositional solver time         : 0.000
0.58/0.75	#    Success case prop preproc time    : 0.000
0.58/0.75	#    Success case prop encoding time   : 0.000
0.58/0.75	#    Success case prop solver time     : 0.000
0.58/0.75	# Current number of processed clauses  : 408
0.58/0.75	#    Positive orientable unit clauses  : 42
0.58/0.75	#    Positive unorientable unit clauses: 0
0.58/0.75	#    Negative unit clauses             : 14
0.58/0.75	#    Non-unit-clauses                  : 352
0.58/0.75	# Current number of unprocessed clauses: 10723
0.58/0.75	# ...number of literals in the above   : 53472
0.58/0.75	# Current number of archived formulas  : 0
0.58/0.75	# Current number of archived clauses   : 13
0.58/0.75	# Clause-clause subsumption calls (NU) : 34893
0.58/0.75	# Rec. Clause-clause subsumption calls : 13275
0.58/0.75	# Non-unit clause-clause subsumptions  : 46
0.58/0.75	# Unit Clause-clause subsumption calls : 1604
0.58/0.75	# Rewrite failures with RHS unbound    : 0
0.58/0.75	# BW rewrite match attempts            : 13
0.58/0.75	# BW rewrite match successes           : 5
0.58/0.75	# Condensation attempts                : 0
0.58/0.75	# Condensation successes               : 0
0.58/0.75	# Termbank termtop insertions          : 292588
0.58/0.75	
0.58/0.75	# -------------------------------------------------
0.58/0.75	# User time                : 0.363 s
0.58/0.75	# System time              : 0.017 s
0.58/0.75	# Total time               : 0.380 s
0.58/0.75	# Maximum resident set size: 2252 pages
0.58/0.75	EOF