0.12/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.16	% 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
0.17/0.37	% Computer   : n003.cluster.edu
0.17/0.37	% Model      : x86_64 x86_64
0.17/0.37	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.17/0.37	% Memory     : 8042.1875MB
0.17/0.37	% OS         : Linux 3.10.0-693.el7.x86_64
0.17/0.37	% CPULimit   : 1200
0.17/0.37	% WCLimit    : 120
0.17/0.37	% DateTime   : Tue Jul 13 11:07:54 EDT 2021
0.17/0.37	% CPUTime    : 
0.17/0.37	% Number of cores: 8
0.17/0.38	% Python version: Python 3.6.8
0.17/0.38	# Version: 2.6rc1-ho
0.17/0.39	# No SInE strategy applied
0.17/0.39	# Trying AutoSched0 for 59 seconds
49.66/49.89	# AutoSched0-Mode selected heuristic G_E___303_C18_F1_URBAN_S0Y
49.66/49.89	# and selection function SelectMaxLComplexAvoidPosPred.
49.66/49.89	#
49.66/49.89	# Preprocessing time       : 0.132 s
49.66/49.89	
49.66/49.89	# Proof found!
49.66/49.89	# SZS status Theorem
49.66/49.89	# SZS output start CNFRefutation
49.66/49.89	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:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', replAx)).
49.66/49.89	thf(exu, axiom, (exu)=(^[X1:$i > $o]:?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exu)).
49.66/49.89	thf(descrp, axiom, (descrp<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>X1 @ (descr @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', descrp)).
49.66/49.89	thf(exuE1, axiom, (exuE1<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE1)).
49.66/49.89	thf(exuE3e, axiom, (exuE3e<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:X1 @ X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE3e)).
49.66/49.89	thf(nonemptyE1, axiom, (nonemptyE1<=>![X4:$i]:(nonempty @ X4=>?[X2:$i]:in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyE1)).
49.66/49.89	thf(nonempty, axiom, (nonempty)=(^[X2:$i]:(X2)!=(emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonempty)).
49.66/49.89	thf(nonemptyI, axiom, (nonemptyI<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyI)).
49.66/49.89	thf(nonemptyI1, axiom, (nonemptyI1<=>![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>nonempty @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyI1)).
49.66/49.89	thf(exuE2, axiom, (exuE2<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE2)).
49.66/49.89	thf(nonemptyImpWitness, axiom, (nonemptyImpWitness<=>![X4:$i]:(nonempty @ X4=>?[X2:$i]:(in @ X2 @ X4&$true))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyImpWitness)).
49.66/49.89	thf(exuI1, axiom, (exuI1<=>![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>exu @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuI1)).
49.66/49.89	thf(exuI3, axiom, (exuI3<=>![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>exu @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuI3)).
49.66/49.89	thf(exuI2, axiom, (exuI2<=>![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>exu @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuI2)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', exuE3u)).
49.66/49.89	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:$i]:X17 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exu__Cong)).
49.66/49.89	thf(exuEu, axiom, (exuEu<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuEu)).
49.66/49.89	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:$i]:X17 @ X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', descr__Cong)).
49.66/49.89	thf(ex1E1, axiom, (ex1E1<=>![X4:$i, X1:$i > $o]:(ex1 @ X4 @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:(in @ X2 @ X4&X1 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ex1E1)).
49.66/49.89	thf(ex1, axiom, (ex1)=(^[X4:$i, X1:$i > $o]:singleton @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ex1)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', ex1I)).
49.66/49.89	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:$i]:X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ex1I2)).
49.66/49.89	thf(setOfPairsIsBReln, axiom, (setOfPairsIsBReln<=>![X4:$i, X5:$i, X24:$i > $i > $o]:breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:X24 @ X2 @ X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setOfPairsIsBReln)).
49.66/49.89	thf(breln, axiom, (breln)=(^[X4:$i, X5:$i, X7:$i]:subset @ X7 @ (cartprod @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', breln)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', brelnall1)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', brelnall2)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', ex1E2)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', subbreln)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', eqbreln)).
49.66/49.89	thf(intersectInPowersetIntersectUnions, conjecture, (setextAx=>(((((omega0Ax=>((omegaIndAx=>(replAx=>(foundationAx=>(wellorderingAx=>(descrp=>(dsetconstrI=>((dsetconstrER=>(exuE1=>(prop2setE=>(emptysetE=>((notinemptyset=>(exuE3e=>((emptyI=>(noeltsimpempty=>(((nonemptyI=>(nonemptyI1=>(((setadjoinIR=>((setadjoinOr=>(((emptyinPowerset=>(((setunionI=>(setunionE=>(((nonemptyImpWitness=>(uniqinunit=>((((upairsetE=>(upairsetIL=>(upairsetIR=>((vacuousDall=>(((quantDeMorgan3=>((((notdexE=>(notdallE=>(exuI1=>(exuI3=>(exuI2=>(inCongP=>(in__Cong=>(exuE3u=>(exu__Cong=>((setadjoin__Cong=>(powerset__Cong=>(setunion__Cong=>((exuEu=>(descr__Cong=>(((((subsetI2=>(emptysetsubset=>(subsetE=>(subsetE2=>(notsubsetI=>(notequalI1=>(notequalI2=>(subsetRefl=>(((((setextsub=>(subsetemptysetimpeq=>(powersetI1=>(powersetE1=>(((sepInPowerset=>(sepSubset=>(binunionIL=>((binunionIR=>(binunionEcases=>((((binintersectI=>(binintersectSubset5=>((binintersectLsub=>(binintersectSubset2=>(binintersectSubset3=>(binintersectER=>(disjointsetsI1=>((binintersectSubset4=>(binintersectSubset1=>((setminusI=>((setminusER=>((setminusERneg=>(((setminusIRneg=>((setminusSubset1=>((symdiffI1=>(symdiffI2=>((symdiffIneg2=>(((((kpairp=>(singletonsubset=>((singletoninpowunion=>(upairset2E=>(upairsubunion=>(upairinpowunion=>((ubforcartprodlem2=>(ubforcartprodlem3=>(((((((setunionsingleton=>(((((singletonsuniq=>((((kfstpairEq=>(((((setukpairinjR12=>(setukpairinjR1=>(((setukpairinjR=>((ksndpairEq=>((cartprodsndin=>(((((((dpsetconstrI=>(dpsetconstrSub=>((dpsetconstrERa=>(((dpsetconstrER=>(funcImageSingleton=>((app=>(infuncsetfunc=>((funcinfuncset=>(((((brelnall2=>(ex1E2=>(funcGraphProp1=>(funcGraphProp3=>(funcGraphProp2=>((funcGraphProp4=>(((funcext=>(funcext2=>(((beta1=>(eta1=>(((eta2=>(iffalseProp1=>(iffalseProp2=>(iftrueProp1=>(iftrueProp2=>(((theeq=>(iftrue=>((iftrueorfalse=>(((powersetT_lem=>((complementT_lem=>((subsetTI=>((powersetTE1=>(complementTI1=>((binintersectTELcontra=>((((((doubleComplementI1=>(((doubleComplementSub2=>(doubleComplementEq=>((complementImpComplementIntersect=>(complementSubsetComplementIntersect=>((contraSubsetComplement=>(complementTcontraSubset=>((binunionTIRcontra=>(inIntersectImpInUnion=>((![X4:$i, X21:$i]:(![X48:$i]:(![X49:$i]:(in @ X49 @ (powerset @ X4)=>in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))<=in @ X48 @ (powerset @ X4))<=in @ X21 @ (powerset @ X4))<=inIntersectImpInIntersectUnions)<=inIntersectImpInUnion2)))<=binunionTILcontra)))<=complementInPowersetComplementIntersect)))<=complementTnotintersectT)))<=doubleComplementSub1)<=doubleComplementE1))<=contrasubsetT3)<=contrasubsetT2)<=contrasubsetT1)<=contrasubsetT)<=binintersectTERcontra))<=complementTE1)))<=powersetTI1))<=setextT))<=setminusT_lem))<=binunionT_lem)<=binintersectT_lem))<=iffalse)))<=ifp)<=ifSingleton))))))<=beta2)<=lam2lamEq)))<=ap2apEq2)<=ap2apEq1)))<=eqbreln)<=subbreln))<=funcextLem))))))<=brelnall1)<=lam2p)<=lamp)<=lamProp))<=ap2p)))<=apProp)))<=dpsetconstrEL2)<=dpsetconstrEL1))<=setOfPairsIsBReln)))<=cartprodpairsurjEq)<=cartprodsndpairEq)<=cartprodfstpairEq)<=cartprodmempaircEq)<=cartprodpairmemER)<=cartprodpairmemEL))<=kpairsurjEq))<=ksndsingleton))<=setukpairinjR2)<=upairequniteq)))<=setukpairinjR11)<=setukpairinjL)<=setukpairinjL2)<=cartprodfstin))<=theprop)<=kfstsingleton)<=setukpairinjL1))<=ex1I2)<=ex1I)<=ex1E1)<=singletonprop))<=setunionsingleton2)<=setunionsingleton1)<=setunionE2)<=cartprodmempair)<=cartprodmempair1)<=cartprodpairin)))<=ubforcartprodlem1)))))<=singletoninpowerset)))<=kpairiskpair)<=setukpairIR)<=setukpairIL)<=secondinupair))<=symdiffIneg1)))<=symdiffE))<=setminusLsub))<=setminusILneg)<=setminusELneg))<=setminusSubset2))<=setminusEL))<=bs114d)))<=binintersectRsub))))))<=binintersectEL)))<=binunionRsub)<=binunionLsub)<=binunionE)))<=upairset2IR))))<=powersetsubset)<=inPowerset)))))<=subset2powerset)<=setadjoinSub2)<=setadjoinSub)<=subsetTrans)))))))))<=eqimpsubset1)<=eqimpsubset2)<=subsetI1)<=dsetconstr__Cong)))<=omega__Cong))))<=emptyset__Cong))))))))))<=prop2set2propI)<=prop2setI)<=quantDeMorgan4))<=quantDeMorgan2)<=quantDeMorgan1))<=emptyE1))))<=singletonsswitch)<=eqinunit)<=notinsingleton)))<=exuE2)<=subPowSU)))<=powersetE)<=emptyInPowerset))<=powersetI)<=setoftrueEq))<=setadjoinE))<=emptyinunitempty)<=setadjoinIL)))<=nonemptyE1)<=setbeta)))<=setext)))<=emptysetimpfalse)))))<=dsetconstrEL)))))))<=omegaSAx))<=setunionAx)<=powersetAx)<=setadjoinAx)<=emptysetAx)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersectInPowersetIntersectUnions)).
49.66/49.89	thf(setextAx, axiom, (setextAx<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4<=>in @ X2 @ X5)=>(X4)=(X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setextAx)).
49.66/49.89	thf(emptysetAx, axiom, (emptysetAx<=>![X2:$i]:~(in @ X2 @ emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetAx)).
49.66/49.89	thf(setadjoinAx, axiom, (setadjoinAx<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)<=>((X3)=(X2)|in @ X3 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinAx)).
49.66/49.89	thf(powersetAx, axiom, (powersetAx<=>![X4:$i, X5:$i]:(in @ X5 @ (powerset @ X4)<=>![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetAx)).
49.66/49.89	thf(setunionAx, axiom, (setunionAx<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)<=>?[X5:$i]:(in @ X2 @ X5&in @ X5 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionAx)).
49.66/49.89	thf(omega0Ax, axiom, (omega0Ax<=>in @ emptyset @ omega), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omega0Ax)).
49.66/49.89	thf(omegaSAx, axiom, (omegaSAx<=>![X2:$i]:(in @ X2 @ omega=>in @ (setadjoin @ X2 @ X2) @ omega)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omegaSAx)).
49.66/49.89	thf(omegaIndAx, axiom, (omegaIndAx<=>![X4:$i]:((in @ emptyset @ X4&![X2:$i]:((in @ X2 @ omega&in @ X2 @ X4)=>in @ (setadjoin @ X2 @ X2) @ X4))=>![X2:$i]:(in @ X2 @ omega=>in @ X2 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omegaIndAx)).
49.66/49.89	thf(foundationAx, axiom, (foundationAx<=>![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>?[X5:$i]:(in @ X5 @ X4&~(?[X2:$i]:(in @ X2 @ X5&in @ X2 @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', foundationAx)).
49.66/49.89	thf(wellorderingAx, axiom, (wellorderingAx<=>![X4:$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/sandbox2/benchmark/theBenchmark.p', wellorderingAx)).
49.66/49.89	thf(dsetconstrI, axiom, (dsetconstrI<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrI)).
49.66/49.89	thf(dsetconstrEL, axiom, (dsetconstrEL<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))=>in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrEL)).
49.66/49.89	thf(dsetconstrER, axiom, (dsetconstrER<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))=>X1 @ X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrER)).
49.66/49.89	thf(prop2setE, axiom, (prop2setE<=>![X10:$o, X2:$i]:(in @ X2 @ (prop2set @ (X10))=>X10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prop2setE)).
49.66/49.89	thf(emptysetE, axiom, (emptysetE<=>![X2:$i]:(in @ X2 @ emptyset=>![X11:$o]:X11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetE)).
49.66/49.89	thf(emptysetimpfalse, axiom, (emptysetimpfalse<=>![X2:$i]:(in @ X2 @ emptyset=>~$true)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetimpfalse)).
49.66/49.89	thf(notinemptyset, axiom, (notinemptyset<=>![X2:$i]:~(in @ X2 @ emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notinemptyset)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', setext)).
49.66/49.89	thf(emptyI, axiom, (emptyI<=>![X4:$i]:(![X2:$i]:~(in @ X2 @ X4)=>(X4)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyI)).
49.66/49.89	thf(noeltsimpempty, axiom, (noeltsimpempty<=>![X4:$i]:(![X2:$i]:~(in @ X2 @ X4)=>(X4)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', noeltsimpempty)).
49.66/49.89	thf(setbeta, axiom, (setbeta<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))<=>X1 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setbeta)).
49.66/49.89	thf(setadjoinIL, axiom, (setadjoinIL<=>![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinIL)).
49.66/49.89	thf(emptyinunitempty, axiom, (emptyinunitempty<=>in @ emptyset @ (setadjoin @ emptyset @ emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyinunitempty)).
49.66/49.89	thf(setadjoinIR, axiom, (setadjoinIR<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ X4=>in @ X3 @ (setadjoin @ X2 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinIR)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', setadjoinE)).
49.66/49.89	thf(setadjoinOr, axiom, (setadjoinOr<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>((X3)=(X2)|in @ X3 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinOr)).
49.66/49.89	thf(setoftrueEq, axiom, (setoftrueEq<=>![X4:$i]:(dsetconstr @ X4 @ (^[X2:$i]:$true))=(X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setoftrueEq)).
49.66/49.89	thf(powersetI, axiom, (powersetI<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>in @ X5 @ (powerset @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetI)).
49.66/49.89	thf(emptyinPowerset, axiom, (emptyinPowerset<=>![X4:$i]:in @ emptyset @ (powerset @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyinPowerset)).
49.66/49.89	thf(emptyInPowerset, axiom, (emptyInPowerset<=>![X4:$i]:in @ emptyset @ (powerset @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyInPowerset)).
49.66/49.89	thf(powersetE, axiom, (powersetE<=>![X4:$i, X5:$i, X2:$i]:(in @ X5 @ (powerset @ X4)=>(in @ X2 @ X5=>in @ X2 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetE)).
49.66/49.89	thf(setunionI, axiom, (setunionI<=>![X4:$i, X2:$i, X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>in @ X2 @ (setunion @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionI)).
49.66/49.89	thf(setunionE, axiom, (setunionE<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)=>![X13:$o]:(![X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>X13))=>X13))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionE)).
49.66/49.89	thf(subPowSU, axiom, (subPowSU<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (powerset @ (setunion @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subPowSU)).
49.66/49.89	thf(uniqinunit, axiom, (uniqinunit<=>![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', uniqinunit)).
49.66/49.89	thf(notinsingleton, axiom, (notinsingleton<=>![X2:$i, X3:$i]:((X2)!=(X3)=>~(in @ X3 @ (setadjoin @ X2 @ emptyset)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notinsingleton)).
49.66/49.89	thf(eqinunit, axiom, (eqinunit<=>![X2:$i, X3:$i]:((X2)=(X3)=>in @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eqinunit)).
49.66/49.89	thf(singletonsswitch, axiom, (singletonsswitch<=>![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>in @ X3 @ (setadjoin @ X2 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletonsswitch)).
49.66/49.89	thf(upairsetE, axiom, (upairsetE<=>![X2:$i, X3:$i, X14:$i]:(in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>((X14)=(X2)|(X14)=(X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsetE)).
49.66/49.89	thf(upairsetIL, axiom, (upairsetIL<=>![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsetIL)).
49.66/49.89	thf(upairsetIR, axiom, (upairsetIR<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsetIR)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', emptyE1)).
49.66/49.89	thf(vacuousDall, axiom, (vacuousDall<=>![X1:$i > $o, X2:$i]:(in @ X2 @ emptyset=>X1 @ X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', vacuousDall)).
49.66/49.89	thf(quantDeMorgan1, axiom, (quantDeMorgan1<=>![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan1)).
49.66/49.89	thf(quantDeMorgan2, axiom, (quantDeMorgan2<=>![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2))=>~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan2)).
49.66/49.89	thf(quantDeMorgan3, axiom, (quantDeMorgan3<=>![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan3)).
49.66/49.89	thf(quantDeMorgan4, axiom, (quantDeMorgan4<=>![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2))=>~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan4)).
49.66/49.89	thf(prop2setI, axiom, (prop2setI<=>![X15:$o]:(X15=>in @ emptyset @ (prop2set @ (X15)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prop2setI)).
49.66/49.89	thf(prop2set2propI, axiom, (prop2set2propI<=>![X16:$o]:(X16=>set2prop @ (prop2set @ (X16)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prop2set2propI)).
49.66/49.89	thf(notdexE, axiom, (notdexE<=>![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notdexE)).
49.66/49.89	thf(notdallE, axiom, (notdallE<=>![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notdallE)).
49.66/49.89	thf(inCongP, axiom, (inCongP<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4=>in @ X3 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', inCongP)).
49.66/49.89	thf(in__Cong, axiom, (in__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4<=>in @ X3 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', in__Cong)).
49.66/49.89	thf(emptyset__Cong, axiom, (emptyset__Cong<=>(emptyset)=(emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyset__Cong)).
49.66/49.89	thf(setadjoin__Cong, axiom, (setadjoin__Cong<=>![X2:$i, X3:$i]:((X2)=(X3)=>![X14:$i, X18:$i]:((X14)=(X18)=>(setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoin__Cong)).
49.66/49.89	thf(powerset__Cong, axiom, (powerset__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>(powerset @ X4)=(powerset @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powerset__Cong)).
49.66/49.89	thf(setunion__Cong, axiom, (setunion__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>(setunion @ X4)=(setunion @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunion__Cong)).
49.66/49.89	thf(omega__Cong, axiom, (omega__Cong<=>(omega)=(omega)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omega__Cong)).
49.66/49.89	thf(dsetconstr__Cong, axiom, (dsetconstr__Cong<=>![X4:$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:$i]:X17 @ X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstr__Cong)).
49.66/49.89	thf(subsetI1, axiom, (subsetI1<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetI1)).
49.66/49.89	thf(eqimpsubset2, axiom, (eqimpsubset2<=>![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X5 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eqimpsubset2)).
49.66/49.89	thf(eqimpsubset1, axiom, (eqimpsubset1<=>![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eqimpsubset1)).
49.66/49.89	thf(subsetI2, axiom, (subsetI2<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetI2)).
49.66/49.89	thf(emptysetsubset, axiom, (emptysetsubset<=>![X4:$i]:subset @ emptyset @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetsubset)).
49.66/49.89	thf(subsetE, axiom, (subsetE<=>![X4:$i, X5:$i, X2:$i]:(subset @ X4 @ X5=>(in @ X2 @ X4=>in @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetE)).
49.66/49.89	thf(subsetE2, axiom, (subsetE2<=>![X4:$i, X5:$i, X2:$i]:(subset @ X4 @ X5=>(~(in @ X2 @ X5)=>~(in @ X2 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetE2)).
49.66/49.89	thf(notsubsetI, axiom, (notsubsetI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>~(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notsubsetI)).
49.66/49.89	thf(notequalI1, axiom, (notequalI1<=>![X4:$i, X5:$i]:(~(subset @ X4 @ X5)=>(X4)!=(X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notequalI1)).
49.66/49.89	thf(notequalI2, axiom, (notequalI2<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>(X4)!=(X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notequalI2)).
49.66/49.89	thf(subsetRefl, axiom, (subsetRefl<=>![X4:$i]:subset @ X4 @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetRefl)).
49.66/49.89	thf(subsetTrans, axiom, (subsetTrans<=>![X4:$i, X5:$i, X7:$i]:(subset @ X4 @ X5=>(subset @ X5 @ X7=>subset @ X4 @ X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetTrans)).
49.66/49.89	thf(setadjoinSub, axiom, (setadjoinSub<=>![X2:$i, X4:$i]:subset @ X4 @ (setadjoin @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinSub)).
49.66/49.89	thf(setadjoinSub2, axiom, (setadjoinSub2<=>![X4:$i, X2:$i, X5:$i]:(subset @ X4 @ X5=>subset @ X4 @ (setadjoin @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinSub2)).
49.66/49.89	thf(subset2powerset, axiom, (subset2powerset<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>in @ X4 @ (powerset @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset2powerset)).
49.66/49.89	thf(setextsub, axiom, (setextsub<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(subset @ X5 @ X4=>(X4)=(X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setextsub)).
49.66/49.89	thf(subsetemptysetimpeq, axiom, (subsetemptysetimpeq<=>![X4:$i]:(subset @ X4 @ emptyset=>(X4)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetemptysetimpeq)).
49.66/49.89	thf(powersetI1, axiom, (powersetI1<=>![X4:$i, X5:$i]:(subset @ X5 @ X4=>in @ X5 @ (powerset @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetI1)).
49.66/49.89	thf(powersetE1, axiom, (powersetE1<=>![X4:$i, X5:$i]:(in @ X5 @ (powerset @ X4)=>subset @ X5 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetE1)).
49.66/49.89	thf(inPowerset, axiom, (inPowerset<=>![X4:$i]:in @ X4 @ (powerset @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', inPowerset)).
49.66/49.89	thf(powersetsubset, axiom, (powersetsubset<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>subset @ (powerset @ X4) @ (powerset @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetsubset)).
49.66/49.89	thf(sepInPowerset, axiom, (sepInPowerset<=>![X4:$i, X1:$i > $o]:in @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2)) @ (powerset @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sepInPowerset)).
49.66/49.89	thf(sepSubset, axiom, (sepSubset<=>![X4:$i, X1:$i > $o]:subset @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2)) @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sepSubset)).
49.66/49.89	thf(binunionIL, axiom, (binunionIL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (binunion @ X4 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionIL)).
49.66/49.89	thf(upairset2IR, axiom, (upairset2IR<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairset2IR)).
49.66/49.89	thf(binunionIR, axiom, (binunionIR<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X5=>in @ X2 @ (binunion @ X4 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionIR)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', binunionEcases)).
49.66/49.89	thf(binunionE, axiom, (binunionE<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binunion @ X4 @ X5)=>(in @ X2 @ X4|in @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionE)).
49.66/49.89	thf(binunionLsub, axiom, (binunionLsub<=>![X4:$i, X5:$i]:subset @ X4 @ (binunion @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionLsub)).
49.66/49.89	thf(binunionRsub, axiom, (binunionRsub<=>![X4:$i, X5:$i]:subset @ X5 @ (binunion @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionRsub)).
49.66/49.89	thf(binintersectI, axiom, (binintersectI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X5=>in @ X2 @ (binintersect @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectI)).
49.66/49.89	thf(binintersectSubset5, axiom, (binintersectSubset5<=>![X4:$i, X5:$i, X7:$i]:(subset @ X7 @ X4=>(subset @ X7 @ X5=>subset @ X7 @ (binintersect @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset5)).
49.66/49.89	thf(binintersectEL, axiom, (binintersectEL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binintersect @ X4 @ X5)=>in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectEL)).
49.66/49.89	thf(binintersectLsub, axiom, (binintersectLsub<=>![X4:$i, X5:$i]:subset @ (binintersect @ X4 @ X5) @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectLsub)).
49.66/49.89	thf(binintersectSubset2, axiom, (binintersectSubset2<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(binintersect @ X4 @ X5)=(X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset2)).
49.66/49.89	thf(binintersectSubset3, axiom, (binintersectSubset3<=>![X4:$i, X5:$i]:((binintersect @ X4 @ X5)=(X5)=>subset @ X5 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset3)).
49.66/49.89	thf(binintersectER, axiom, (binintersectER<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binintersect @ X4 @ X5)=>in @ X2 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectER)).
49.66/49.89	thf(disjointsetsI1, axiom, (disjointsetsI1<=>![X4:$i, X5:$i]:(~(?[X2:$i]:(in @ X2 @ X4&in @ X2 @ X5))=>(binintersect @ X4 @ X5)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', disjointsetsI1)).
49.66/49.89	thf(binintersectRsub, axiom, (binintersectRsub<=>![X4:$i, X5:$i]:subset @ (binintersect @ X4 @ X5) @ X5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectRsub)).
49.66/49.89	thf(binintersectSubset4, axiom, (binintersectSubset4<=>![X4:$i, X5:$i]:(subset @ X5 @ X4=>(binintersect @ X4 @ X5)=(X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset4)).
49.66/49.89	thf(binintersectSubset1, axiom, (binintersectSubset1<=>![X4:$i, X5:$i]:((binintersect @ X4 @ X5)=(X4)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset1)).
49.66/49.89	thf(bs114d, axiom, (bs114d<=>![X4:$i, X5:$i, X7:$i]:(binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', bs114d)).
49.66/49.89	thf(setminusI, axiom, (setminusI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusI)).
49.66/49.89	thf(setminusEL, axiom, (setminusEL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (setminus @ X4 @ X5)=>in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusEL)).
49.66/49.89	thf(setminusER, axiom, (setminusER<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (setminus @ X4 @ X5)=>~(in @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusER)).
49.66/49.89	thf(setminusSubset2, axiom, (setminusSubset2<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(setminus @ X4 @ X5)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusSubset2)).
49.66/49.89	thf(setminusERneg, axiom, (setminusERneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4=>in @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusERneg)).
49.66/49.89	thf(setminusELneg, axiom, (setminusELneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ (setminus @ X4 @ X5))=>(~(in @ X2 @ X5)=>~(in @ X2 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusELneg)).
49.66/49.89	thf(setminusILneg, axiom, (setminusILneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>~(in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusILneg)).
49.66/49.89	thf(setminusIRneg, axiom, (setminusIRneg<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X5=>~(in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusIRneg)).
49.66/49.89	thf(setminusLsub, axiom, (setminusLsub<=>![X4:$i, X5:$i]:subset @ (setminus @ X4 @ X5) @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusLsub)).
49.66/49.89	thf(setminusSubset1, axiom, (setminusSubset1<=>![X4:$i, X5:$i]:((setminus @ X4 @ X5)=(emptyset)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusSubset1)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', symdiffE)).
49.66/49.89	thf(symdiffI1, axiom, (symdiffI1<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>in @ X2 @ (symdiff @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffI1)).
49.66/49.89	thf(symdiffI2, axiom, (symdiffI2<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>(in @ X2 @ X5=>in @ X2 @ (symdiff @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffI2)).
49.66/49.89	thf(symdiffIneg1, axiom, (symdiffIneg1<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X5=>~(in @ X2 @ (symdiff @ X4 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffIneg1)).
49.66/49.89	thf(symdiffIneg2, axiom, (symdiffIneg2<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>(~(in @ X2 @ X5)=>~(in @ X2 @ (symdiff @ X4 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffIneg2)).
49.66/49.89	thf(secondinupair, axiom, (secondinupair<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', secondinupair)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', setukpairIL)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', setukpairIR)).
49.66/49.89	thf(kpairiskpair, axiom, (kpairiskpair<=>![X2:$i, X3:$i]:iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', kpairiskpair)).
49.66/49.89	thf(kpairp, axiom, (kpairp<=>![X2:$i, X3:$i]:iskpair @ (kpair @ X2 @ X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', kpairp)).
49.66/49.89	thf(singletonsubset, axiom, (singletonsubset<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>subset @ (setadjoin @ X2 @ emptyset) @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletonsubset)).
49.66/49.89	thf(singletoninpowerset, axiom, (singletoninpowerset<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletoninpowerset)).
49.66/49.89	thf(singletoninpowunion, axiom, (singletoninpowunion<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletoninpowunion)).
49.66/49.89	thf(upairset2E, axiom, (upairset2E<=>![X2:$i, X3:$i, X14:$i]:(in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>((X14)=(X2)|(X14)=(X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairset2E)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', upairsubunion)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', upairinpowunion)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', ubforcartprodlem1)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', ubforcartprodlem2)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', ubforcartprodlem3)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', cartprodpairin)).
49.66/49.89	thf(cartprodmempair1, axiom, (cartprodmempair1<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>?[X2:$i]:(in @ X2 @ X4&?[X3:$i]:(in @ X3 @ X5&(X18)=(kpair @ X2 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodmempair1)).
49.66/49.89	thf(cartprodmempair, axiom, (cartprodmempair<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>iskpair @ X18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodmempair)).
49.66/49.89	thf(setunionE2, axiom, (setunionE2<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)=>?[X21:$i]:(in @ X21 @ X4&in @ X2 @ X21))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionE2)).
49.66/49.89	thf(setunionsingleton1, axiom, (setunionsingleton1<=>![X4:$i]:subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionsingleton1)).
49.66/49.89	thf(setunionsingleton2, axiom, (setunionsingleton2<=>![X4:$i]:subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionsingleton2)).
49.66/49.89	thf(setunionsingleton, axiom, (setunionsingleton<=>![X2:$i]:(setunion @ (setadjoin @ X2 @ emptyset))=(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionsingleton)).
49.66/49.89	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:$i]:X1 @ X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletonprop)).
49.66/49.89	thf(singletonsuniq, axiom, (singletonsuniq<=>![X2:$i, X3:$i]:((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletonsuniq)).
49.66/49.89	thf(setukpairinjL1, axiom, (setukpairinjL1<=>![X2:$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/sandbox2/benchmark/theBenchmark.p', setukpairinjL1)).
49.66/49.89	thf(kfstsingleton, axiom, (kfstsingleton<=>![X18:$i]:(iskpair @ X18=>singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:in @ (setadjoin @ X2 @ emptyset) @ X18)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', kfstsingleton)).
49.66/49.89	thf(theprop, axiom, (theprop<=>![X21:$i]:(singleton @ X21=>in @ (setunion @ X21) @ X21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', theprop)).
49.66/49.89	thf(kfstpairEq, axiom, (kfstpairEq<=>![X2:$i, X3:$i]:(kfst @ (kpair @ X2 @ X3))=(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', kfstpairEq)).
49.66/49.89	thf(cartprodfstin, axiom, (cartprodfstin<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>in @ (kfst @ X18) @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodfstin)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', setukpairinjL2)).
49.66/49.89	thf(setukpairinjL, axiom, (setukpairinjL<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((kpair @ X2 @ X3)=(kpair @ X14 @ X18)=>(X2)=(X14))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairinjL)).
49.66/49.89	thf(setukpairinjR11, axiom, (setukpairinjR11<=>![X2:$i, X3:$i]:((X2)=(X3)=>(setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairinjR11)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', setukpairinjR12)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', setukpairinjR1)).
49.66/49.89	thf(upairequniteq, axiom, (upairequniteq<=>![X2:$i, X3:$i, X14:$i]:((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairequniteq)).
49.66/49.89	thf(setukpairinjR2, axiom, (setukpairinjR2<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset))=>(X3)=(X18))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairinjR2)).
49.66/49.89	thf(setukpairinjR, axiom, (setukpairinjR<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((kpair @ X2 @ X3)=(kpair @ X14 @ X18)=>(X3)=(X18))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairinjR)).
49.66/49.89	thf(ksndsingleton, axiom, (ksndsingleton<=>![X18:$i]:(iskpair @ X18=>singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(X18)=(kpair @ (kfst @ X18) @ X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ksndsingleton)).
49.66/49.89	thf(ksndpairEq, axiom, (ksndpairEq<=>![X2:$i, X3:$i]:(ksnd @ (kpair @ X2 @ X3))=(X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ksndpairEq)).
49.66/49.89	thf(kpairsurjEq, axiom, (kpairsurjEq<=>![X18:$i]:(iskpair @ X18=>(kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', kpairsurjEq)).
49.66/49.89	thf(cartprodsndin, axiom, (cartprodsndin<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>in @ (ksnd @ X18) @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodsndin)).
49.66/49.89	thf(cartprodpairmemEL, axiom, (cartprodpairmemEL<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5)=>in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodpairmemEL)).
49.66/49.89	thf(cartprodpairmemER, axiom, (cartprodpairmemER<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5)=>in @ X3 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodpairmemER)).
49.66/49.89	thf(cartprodmempaircEq, axiom, (cartprodmempaircEq<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(kpair @ X2 @ X3)=(kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodmempaircEq)).
49.66/49.89	thf(cartprodfstpairEq, axiom, (cartprodfstpairEq<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodfstpairEq)).
49.66/49.89	thf(cartprodsndpairEq, axiom, (cartprodsndpairEq<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodsndpairEq)).
49.66/49.89	thf(cartprodpairsurjEq, axiom, (cartprodpairsurjEq<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>(kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodpairsurjEq)).
49.66/49.89	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:$i]:X22 @ X14 @ X18)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dpsetconstrI)).
49.66/49.89	thf(dpsetconstrSub, axiom, (dpsetconstrSub<=>![X4:$i, X5:$i, X23:$i > $i > $o]:subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:X23 @ X2 @ X3)) @ (cartprod @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dpsetconstrSub)).
49.66/49.89	thf(dpsetconstrERa, axiom, (dpsetconstrERa<=>![X4:$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:$i]:X25 @ X14 @ X18))=>X25 @ X2 @ X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dpsetconstrERa)).
49.66/49.89	thf(dpsetconstrEL1, axiom, (dpsetconstrEL1<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X26 @ X14 @ X18))=>in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dpsetconstrEL1)).
49.66/49.89	thf(dpsetconstrEL2, axiom, (dpsetconstrEL2<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X27 @ X14 @ X18))=>in @ X3 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dpsetconstrEL2)).
49.66/49.89	thf(dpsetconstrER, axiom, (dpsetconstrER<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X28 @ X14 @ X18))=>X28 @ X2 @ X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dpsetconstrER)).
49.66/49.89	thf(funcImageSingleton, axiom, (funcImageSingleton<=>![X4:$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/sandbox2/benchmark/theBenchmark.p', funcImageSingleton)).
49.66/49.89	thf(apProp, axiom, (apProp<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:in @ (kpair @ X2 @ X3) @ X29))) @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apProp)).
49.66/49.89	thf(app, axiom, (app<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', app)).
49.66/49.89	thf(infuncsetfunc, axiom, (infuncsetfunc<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>func @ X4 @ X5 @ X29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', infuncsetfunc)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', ap2p)).
49.66/49.89	thf(funcinfuncset, axiom, (funcinfuncset<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>in @ X29 @ (funcSet @ X4 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', funcinfuncset)).
49.66/49.89	thf(lamProp, axiom, (lamProp<=>![X4:$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/sandbox2/benchmark/theBenchmark.p', lamProp)).
49.66/49.89	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:$i]:X31 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', lamp)).
49.66/49.89	thf(lam2p, axiom, (lam2p<=>![X4:$i, X5:$i, X32:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X32 @ X2) @ X5)=>in @ (lam @ X4 @ X5 @ (^[X2:$i]:X32 @ X2)) @ (funcSet @ X4 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', lam2p)).
49.66/49.89	thf(funcGraphProp1, axiom, (funcGraphProp1<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', funcGraphProp1)).
49.66/49.89	thf(funcGraphProp3, axiom, (funcGraphProp3<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X2:$i]:(in @ X2 @ X4=>in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', funcGraphProp3)).
49.66/49.89	thf(funcGraphProp2, axiom, (funcGraphProp2<=>![X4:$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/sandbox2/benchmark/theBenchmark.p', funcGraphProp2)).
49.66/49.89	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:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X34=>in @ (kpair @ X2 @ X3) @ X29))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', funcextLem)).
49.66/49.89	thf(funcGraphProp4, axiom, (funcGraphProp4<=>![X4:$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/sandbox2/benchmark/theBenchmark.p', funcGraphProp4)).
49.66/49.89	thf(funcext, axiom, (funcext<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X34:$i]:(func @ X4 @ X5 @ X34=>(![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))=>(X29)=(X34))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', funcext)).
49.66/49.89	thf(funcext2, axiom, (funcext2<=>![X4:$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/sandbox2/benchmark/theBenchmark.p', funcext2)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', ap2apEq1)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', ap2apEq2)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', beta1)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', eta1)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', lam2lamEq)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', beta2)).
49.66/49.89	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/sandbox2/benchmark/theBenchmark.p', eta2)).
49.66/49.89	thf(iffalseProp1, axiom, (iffalseProp1<=>![X4:$i, X39:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(~(X39)=>in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((X39&(X14)=(X2))|(~(X39)&(X14)=(X3))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', iffalseProp1)).
49.66/49.89	thf(iffalseProp2, axiom, (iffalseProp2<=>![X4:$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/sandbox2/benchmark/theBenchmark.p', iffalseProp2)).
49.66/49.89	thf(iftrueProp1, axiom, (iftrueProp1<=>![X4:$i, X41:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X41=>in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((X41&(X14)=(X2))|(~(X41)&(X14)=(X3))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', iftrueProp1)).
49.66/49.89	thf(iftrueProp2, axiom, (iftrueProp2<=>![X4:$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/sandbox2/benchmark/theBenchmark.p', iftrueProp2)).
49.66/49.89	thf(ifSingleton, axiom, (ifSingleton<=>![X4:$i, X43:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((X43&(X14)=(X2))|(~(X43)&(X14)=(X3)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ifSingleton)).
49.66/49.89	thf(ifp, axiom, (ifp<=>![X4:$i, X44:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>in @ (if @ X4 @ (X44) @ X2 @ X3) @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ifp)).
49.66/49.89	thf(theeq, axiom, (theeq<=>![X21:$i]:(singleton @ X21=>![X2:$i]:(in @ X2 @ X21=>(setunion @ X21)=(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', theeq)).
49.66/49.89	thf(iftrue, axiom, (iftrue<=>![X4:$i, X45:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X45=>(if @ X4 @ (X45) @ X2 @ X3)=(X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', iftrue)).
49.66/49.89	thf(iffalse, axiom, (iffalse<=>![X4:$i, X46:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(~(X46)=>(if @ X4 @ (X46) @ X2 @ X3)=(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', iffalse)).
49.66/49.89	thf(iftrueorfalse, axiom, (iftrueorfalse<=>![X4:$i, X47:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>in @ (if @ X4 @ (X47) @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', iftrueorfalse)).
49.66/49.89	thf(binintersectT_lem, axiom, (binintersectT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (binintersect @ X21 @ X48) @ (powerset @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectT_lem)).
49.66/49.89	thf(binunionT_lem, axiom, (binunionT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (binunion @ X21 @ X48) @ (powerset @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionT_lem)).
49.66/49.89	thf(powersetT_lem, axiom, (powersetT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>in @ (powerset @ X21) @ (powerset @ (powerset @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetT_lem)).
49.66/49.89	thf(setminusT_lem, axiom, (setminusT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (setminus @ X21 @ X48) @ (powerset @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusT_lem)).
49.66/49.89	thf(complementT_lem, axiom, (complementT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>in @ (setminus @ X4 @ X21) @ (powerset @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', complementT_lem)).
49.66/49.89	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:$i]:(in @ X2 @ X4=>(in @ X2 @ X48=>in @ X2 @ X21))=>(X21)=(X48)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setextT)).
49.66/49.89	thf(subsetTI, axiom, (subsetTI<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>in @ X2 @ X48))=>subset @ X21 @ X48)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetTI)).
49.66/49.89	thf(powersetTI1, axiom, (powersetTI1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>in @ X2 @ X48))=>in @ X21 @ (powerset @ X48))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetTI1)).
49.66/49.89	thf(powersetTE1, axiom, (powersetTE1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X21 @ (powerset @ X48)=>(in @ X2 @ X21=>in @ X2 @ X48)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetTE1)).
49.66/49.89	thf(complementTI1, axiom, (complementTI1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>~(in @ X2 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', complementTI1)).
49.66/49.89	thf(complementTE1, axiom, (complementTE1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ (setminus @ X4 @ X21))=>in @ X2 @ X21)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', complementTE1)).
49.66/49.89	thf(binintersectTELcontra, axiom, (binintersectTELcontra<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X21)=>~(in @ X2 @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectTELcontra)).
49.66/49.89	thf(binintersectTERcontra, axiom, (binintersectTERcontra<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X48)=>~(in @ X2 @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectTERcontra)).
49.66/49.89	thf(contrasubsetT, axiom, (contrasubsetT<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(subset @ X21 @ (setminus @ X4 @ X48)=>(in @ X2 @ X48=>~(in @ X2 @ X21))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', contrasubsetT)).
49.66/49.89	thf(contrasubsetT1, axiom, (contrasubsetT1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(subset @ X21 @ X48=>(~(in @ X2 @ X48)=>~(in @ X2 @ X21))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', contrasubsetT1)).
49.66/49.89	thf(contrasubsetT2, axiom, (contrasubsetT2<=>![X4:$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/sandbox2/benchmark/theBenchmark.p', contrasubsetT2)).
49.66/49.89	thf(contrasubsetT3, axiom, (contrasubsetT3<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21)=>subset @ X21 @ X48)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', contrasubsetT3)).
49.66/49.89	thf(doubleComplementI1, axiom, (doubleComplementI1<=>![X4:$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/sandbox2/benchmark/theBenchmark.p', doubleComplementI1)).
49.66/49.89	thf(doubleComplementE1, axiom, (doubleComplementE1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21))=>in @ X2 @ X21)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', doubleComplementE1)).
49.66/49.89	thf(doubleComplementSub1, axiom, (doubleComplementSub1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>subset @ X21 @ (setminus @ X4 @ (setminus @ X4 @ X21)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', doubleComplementSub1)).
49.66/49.89	thf(doubleComplementSub2, axiom, (doubleComplementSub2<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>subset @ (setminus @ X4 @ (setminus @ X4 @ X21)) @ X21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', doubleComplementSub2)).
49.66/49.89	thf(doubleComplementEq, axiom, (doubleComplementEq<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>(X21)=(setminus @ X4 @ (setminus @ X4 @ X21)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', doubleComplementEq)).
49.66/49.89	thf(complementTnotintersectT, axiom, (complementTnotintersectT<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ X21)=>~(in @ X2 @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', complementTnotintersectT)).
49.66/49.89	thf(complementImpComplementIntersect, axiom, (complementImpComplementIntersect<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ X21)=>in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', complementImpComplementIntersect)).
49.66/49.89	thf(complementSubsetComplementIntersect, axiom, (complementSubsetComplementIntersect<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>subset @ (setminus @ X4 @ X21) @ (setminus @ X4 @ (binintersect @ X21 @ X48))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', complementSubsetComplementIntersect)).
49.66/49.89	thf(complementInPowersetComplementIntersect, axiom, (complementInPowersetComplementIntersect<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', complementInPowersetComplementIntersect)).
49.66/49.89	thf(contraSubsetComplement, axiom, (contraSubsetComplement<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(subset @ X21 @ (setminus @ X4 @ X48)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X48=>in @ X2 @ (setminus @ X4 @ X21))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', contraSubsetComplement)).
49.66/49.89	thf(complementTcontraSubset, axiom, (complementTcontraSubset<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(subset @ X21 @ (setminus @ X4 @ X48)=>subset @ X48 @ (setminus @ X4 @ X21))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', complementTcontraSubset)).
49.66/49.89	thf(binunionTILcontra, axiom, (binunionTILcontra<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ (binunion @ X21 @ X48))=>~(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionTILcontra)).
49.66/49.89	thf(binunionTIRcontra, axiom, (binunionTIRcontra<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ (binunion @ X21 @ X48))=>~(in @ X2 @ X48)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionTIRcontra)).
49.66/49.89	thf(inIntersectImpInUnion, axiom, (inIntersectImpInUnion<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X49:$i]:(in @ X49 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (binintersect @ X21 @ X48)=>in @ X2 @ (binunion @ X21 @ X49))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', inIntersectImpInUnion)).
49.66/49.89	thf(inIntersectImpInUnion2, axiom, (inIntersectImpInUnion2<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X49:$i]:(in @ X49 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (binintersect @ X21 @ X48)=>in @ X2 @ (binunion @ X48 @ X49))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', inIntersectImpInUnion2)).
49.66/49.89	thf(inIntersectImpInIntersectUnions, axiom, (inIntersectImpInIntersectUnions<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X49:$i]:(in @ X49 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (binintersect @ X21 @ X48)=>in @ X2 @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', inIntersectImpInIntersectUnions)).
49.66/49.89	thf(c_0_264, axiom, (replAx)=(![X6:$i > $i > $o, X4:$i]:(![X2:$i]:(in @ X2 @ X4=>?[X864:$i]:(X6 @ X2 @ X864&![X866:$i]:(X6 @ X2 @ X866=>(X864)=(X866))))=>?[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))), inference(apply_def,[status(thm)],[replAx, exu])).
49.66/49.89	thf(c_0_265, axiom, (descrp)=(![X1:$i > $o]:(?[X867:$i]:(X1 @ X867&![X868:$i]:(X1 @ X868=>(X867)=(X868)))=>X1 @ (descr @ (^[X2:$i]:X1 @ X2)))), inference(apply_def,[status(thm)],[descrp, exu])).
49.66/49.89	thf(c_0_266, axiom, (exuE1)=(![X1:$i > $o]:(?[X869:$i]:(X1 @ X869&![X870:$i]:(X1 @ X870=>(X869)=(X870)))=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuE1, exu])).
49.66/49.89	thf(c_0_267, axiom, (exuE3e)=(![X1:$i > $o]:(?[X871:$i]:(X1 @ X871&![X872:$i]:(X1 @ X872=>(X871)=(X872)))=>?[X2:$i]:X1 @ X2)), inference(apply_def,[status(thm)],[exuE3e, exu])).
49.66/49.89	thf(c_0_268, axiom, (nonemptyE1)=(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:in @ X2 @ X4)), inference(apply_def,[status(thm)],[nonemptyE1, nonempty])).
49.66/49.89	thf(c_0_269, axiom, (nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))!=(emptyset)))), inference(apply_def,[status(thm)],[nonemptyI, nonempty])).
49.66/49.89	thf(c_0_270, axiom, (nonemptyI1)=(![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>(X4)!=(emptyset))), inference(apply_def,[status(thm)],[nonemptyI1, nonempty])).
49.66/49.89	thf(c_0_271, axiom, (exuE2)=(![X1:$i > $o]:(?[X873:$i]:(X1 @ X873&![X874:$i]:(X1 @ X874=>(X873)=(X874)))=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))), inference(apply_def,[status(thm)],[exuE2, exu])).
49.66/49.89	thf(c_0_272, axiom, (nonemptyImpWitness)=(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:(in @ X2 @ X4&$true))), inference(apply_def,[status(thm)],[nonemptyImpWitness, nonempty])).
49.66/49.89	thf(c_0_273, axiom, (exuI1)=(![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>?[X875:$i]:(X1 @ X875&![X876:$i]:(X1 @ X876=>(X875)=(X876))))), inference(apply_def,[status(thm)],[exuI1, exu])).
49.66/49.89	thf(c_0_274, axiom, (exuI3)=(![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>?[X877:$i]:(X1 @ X877&![X878:$i]:(X1 @ X878=>(X877)=(X878)))))), inference(apply_def,[status(thm)],[exuI3, exu])).
49.66/49.89	thf(c_0_275, axiom, (exuI2)=(![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>?[X879:$i]:(X1 @ X879&![X880:$i]:(X1 @ X880=>(X879)=(X880))))), inference(apply_def,[status(thm)],[exuI2, exu])).
49.66/49.89	thf(c_0_276, axiom, (exuE3u)=(![X1:$i > $o]:(?[X881:$i]:(X1 @ X881&![X882:$i]:(X1 @ X882=>(X881)=(X882)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuE3u, exu])).
49.66/49.89	thf(c_0_277, axiom, (exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X883:$i]:(X1 @ X883&![X884:$i]:(X1 @ X884=>(X883)=(X884)))<=>?[X885:$i]:(X17 @ X885&![X886:$i]:(X17 @ X886=>(X885)=(X886)))))), inference(apply_def,[status(thm)],[exu__Cong, exu])).
49.66/49.89	thf(c_0_278, axiom, (exuEu)=(![X1:$i > $o]:(?[X887:$i]:(X1 @ X887&![X888:$i]:(X1 @ X888=>(X887)=(X888)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuEu, exu])).
49.66/49.89	thf(c_0_279, axiom, (descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X889:$i]:(X1 @ X889&![X890:$i]:(X1 @ X890=>(X889)=(X890)))=>(?[X891:$i]:(X17 @ X891&![X892:$i]:(X17 @ X892=>(X891)=(X892)))=>(descr @ (^[X2:$i]:X1 @ X2))=(descr @ (^[X2:$i]:X17 @ X2)))))), inference(apply_def,[status(thm)],[descr__Cong, exu])).
49.66/49.89	thf(c_0_280, axiom, (ex1E1)=(![X4:$i, X1:$i > $o]:(singleton @ (dsetconstr @ X4 @ (^[X893:$i]:X1 @ X893))=>?[X2:$i]:(in @ X2 @ X4&X1 @ X2))), inference(apply_def,[status(thm)],[ex1E1, ex1])).
49.66/49.89	thf(c_0_281, axiom, (ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(![X3:$i]:(in @ X3 @ X4=>(X1 @ X3=>(X3)=(X2)))=>singleton @ (dsetconstr @ X4 @ (^[X894:$i]:X1 @ X894)))))), inference(apply_def,[status(thm)],[ex1I, ex1])).
49.66/49.89	thf(c_0_282, 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 @ (^[X896:$i]:X1 @ X896))))), inference(apply_def,[status(thm)],[ex1I2, ex1])).
49.66/49.89	thf(c_0_283, axiom, (setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:X24 @ X2 @ X3)) @ (cartprod @ X4 @ X5)), inference(apply_def,[status(thm)],[setOfPairsIsBReln, breln])).
49.66/49.89	thf(c_0_284, axiom, (brelnall1)=(![X4:$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])).
49.66/49.89	thf(c_0_285, 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])).
49.66/49.89	thf(c_0_286, axiom, (ex1E2)=(![X4:$i, X1:$i > $o]:(singleton @ (dsetconstr @ X4 @ (^[X897:$i]:X1 @ X897))=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))))), inference(apply_def,[status(thm)],[ex1E2, ex1])).
49.66/49.89	thf(c_0_287, 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])).
49.66/49.89	thf(c_0_288, 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])).
49.66/49.89	thf(c_0_289, plain, ![X2:$i, X1:$i > $o]:(epred1_2 @ X1 @ X2<=>X1 @ X2), introduced(definition)).
49.66/49.89	thf(c_0_290, plain, ![X2:$i]:epred8_1 @ X2, inference(fof_simplification,[status(thm)],[introduced(definition)])).
49.66/49.89	thf(c_0_291, plain, ![X2:$i, X18:$i]:(epred7_2 @ X18 @ X2<=>in @ (setadjoin @ X2 @ emptyset) @ X18), introduced(definition)).
49.66/49.89	thf(c_0_292, plain, ![X2:$i, X18:$i]:(epred6_2 @ X18 @ X2<=>(X18)=(kpair @ (kfst @ X18) @ X2)), introduced(definition)).
49.66/49.89	thf(c_0_293, plain, ![X18:$i, X14:$i, X22:$i > $i > $o]:(epred2_3 @ X22 @ X14 @ X18<=>X22 @ X14 @ X18), introduced(definition)).
49.66/49.89	thf(c_0_294, plain, ![X3:$i, X29:$i, X2:$i]:(epred3_3 @ X2 @ X29 @ X3<=>in @ (kpair @ X2 @ X3) @ X29), introduced(definition)).
49.66/49.89	thf(c_0_295, plain, ![X3:$i, X2:$i, X30:$i > $i]:(epred5_3 @ X30 @ X2 @ X3<=>(X30 @ X2)=(X3)), introduced(definition)).
49.66/49.89	thf(c_0_296, plain, ![X3:$i, X36:$i > $i]:(esk1_2 @ X36 @ X3)=(X36 @ X3), introduced(definition)).
49.66/49.89	thf(c_0_297, plain, ![X14:$i, X2:$i, X39:$o, X3:$i]:(epred4_4 @ X3 @ X39 @ X2 @ X14<=>((X39&(X14)=(X2))|(~X39&(X14)=(X3)))), inference(fof_simplification,[status(thm)],[introduced(definition)])).
49.66/49.89	thf(c_0_298, plain, (epred9_0<=>![X4:$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)).
49.66/49.89	thf(c_0_299, 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:$i]:(in @ X2 @ X4=>?[X864:$i]:(X6 @ X2 @ X864&![X866:$i]:(X6 @ X2 @ X866=>(X864)=(X866))))=>?[X5:$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 > $o]:(?[X867:$i]:(X1 @ X867&![X868:$i]:(X1 @ X868=>(X867)=(X868)))=>X1 @ (descr @ (epred1_2 @ X1)))=>(![X4:$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 > $o]:(?[X869:$i]:(X1 @ X869&![X870:$i]:(X1 @ X870=>(X869)=(X870)))=>?[X2:$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 > $o]:(?[X871:$i]:(X1 @ X871&![X872:$i]:(X1 @ X872=>(X871)=(X872)))=>?[X2:$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:$i]:(in @ X5 @ (powerset @ X4)=>(in @ X2 @ X5=>in 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(powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (binintersect @ X21 @ X48)=>in @ X2 @ (binunion @ X48 @ X49))))))=>(![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X49:$i]:(in @ X49 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (binintersect @ X21 @ X48)=>in @ X2 @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49)))))))=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X49:$i]:(in @ X49 @ (powerset @ X4)=>in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[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(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(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(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(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(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(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(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(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(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(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(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(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(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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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(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)],[intersectInPowersetIntersectUnions]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_264]), foundationAx]), wellorderingAx]), c_0_265]), dsetconstrI]), dsetconstrEL]), dsetconstrER]), c_0_266]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_267]), setext]), emptyI]), noeltsimpempty]), setbeta]), c_0_268]), c_0_269]), c_0_270]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), setoftrueEq]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_271]), c_0_272]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), emptyE1]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_273]), c_0_274]), c_0_275]), inCongP]), in__Cong]), c_0_276]), c_0_277]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_278]), c_0_279]), 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_280]), c_0_281]), c_0_282]), 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_283]), dpsetconstrERa]), dpsetconstrEL1]), dpsetconstrEL2]), dpsetconstrER]), funcImageSingleton]), apProp]), app]), infuncsetfunc]), ap2p]), funcinfuncset]), lamProp]), lamp]), lam2p]), c_0_284]), c_0_285]), c_0_286]), funcGraphProp1]), funcGraphProp3]), funcGraphProp2]), funcextLem]), funcGraphProp4]), c_0_287]), c_0_288]), funcext]), funcext2]), ap2apEq1]), ap2apEq2]), beta1]), eta1]), lam2lamEq]), beta2]), eta2]), iffalseProp1]), iffalseProp2]), iftrueProp1]), iftrueProp2]), ifSingleton]), ifp]), theeq]), iftrue]), iffalse]), iftrueorfalse]), binintersectT_lem]), binunionT_lem]), powersetT_lem]), setminusT_lem]), complementT_lem]), setextT]), subsetTI]), powersetTI1]), powersetTE1]), complementTI1]), complementTE1]), binintersectTELcontra]), binintersectTERcontra]), contrasubsetT]), contrasubsetT1]), contrasubsetT2]), contrasubsetT3]), doubleComplementI1]), doubleComplementE1]), doubleComplementSub1]), doubleComplementSub2]), doubleComplementEq]), complementTnotintersectT]), complementImpComplementIntersect]), complementSubsetComplementIntersect]), complementInPowersetComplementIntersect]), contraSubsetComplement]), complementTcontraSubset]), binunionTILcontra]), binunionTIRcontra]), inIntersectImpInUnion]), inIntersectImpInUnion2]), inIntersectImpInIntersectUnions]), c_0_289]), c_0_289]), c_0_290]), c_0_289]), c_0_289]), c_0_289]), c_0_289]), c_0_289]), c_0_289]), c_0_289]), c_0_291]), c_0_292]), c_0_293]), c_0_293]), c_0_293]), c_0_294]), c_0_295]), c_0_296]), c_0_296]), c_0_296]), c_0_296]), c_0_296]), c_0_297]), c_0_297]), c_0_297]), c_0_297]), c_0_297]), c_0_296]), c_0_296]), c_0_296]), c_0_289]), c_0_294]), c_0_293]), c_0_293]), c_0_293]), c_0_293]), c_0_289]), c_0_289]), c_0_289]), c_0_289]), c_0_289]), c_0_289]), c_0_289]), c_0_289])])]), c_0_298])).
49.66/49.90	thf(c_0_300, negated_conjecture, ![X898:$i, X899:$i, X901:$i, X902:$i, X903:$i, X904:$i, X905:$i, X906:$i, X907:$i, X908:$i, X909:$i, X911:$i, X912:$i, X914:$i, X915:$i, X916:$i, X917:$i, X918:$i, X920:$i, X921:$i > $i > $o, X922:$i, X924:$i, X927:$i, X929:$i, X930:$i, X931:$i, X932:$i, X934:$i, X935:$i > $o, X936:$i, X938:$i, X939:$i > $o, X940:$i, X941:$i, X942:$i > $o, X943:$i, X944:$i, X945:$i > $o, X946:$i, X947:$i > $o, X948:$i, X951:$i, X952:$o, X953:$i, X954:$i, X955:$o, X956:$i, X957:$i, X958:$i > $o, X959:$i, X962:$i, X963:$i, X966:$i, X968:$i, X970:$i, X971:$i > $o, X972:$i, X973:$i, X975:$i, X976:$i > $o, X977:$i, X978:$i, X979:$i, X980:$i, X981:$i, X982:$i, X983:$i, X984:$i, X985:$i, X986:$i, X987:$i, X988:$o, X989:$i, X990:$i, X991:$i, X992:$i, X993:$i, X994:$i, X996:$i, X997:$i, X998:$i, X999:$i, X1000:$i, X1001:$i, X1002:$i, X1003:$i, X1004:$i, X1005:$i, X1006:$o, X1008:$i, X1009:$i, X1010:$i > $o, X1011:$i, X1014:$i, X1015:$i, X1016:$i, X1018:$i, X1019:$i, X1020:$i, X1021:$i, X1022:$i, X1023:$i, X1024:$i, X1025:$i, X1026:$i, X1027:$i, X1028:$i, X1029:$i, X1030:$i, X1031:$i, X1032:$i, X1033:$i, X1034:$i > $o, X1035:$i, X1036:$i > $o, X1037:$i, X1038:$i, X1039:$i > $o, X1040:$i, X1042:$i, X1043:$i > $o, X1045:$i, X1046:$i, X1047:$i > $o, X1049:$i, X1050:$i, X1051:$i > $o, X1052:$i, X1054:$o, X1055:$o, X1056:$i, X1057:$i > $o, X1059:$i, X1060:$i, X1061:$i > $o, X1062:$i, X1064:$i > $o, X1065:$i, X1068:$i, X1069:$i > $o, X1070:$i, X1074:$i, X1075:$i > $o, X1076:$i, X1079:$i, X1080:$i, X1081:$i, X1082:$i, X1083:$i, X1084:$i, X1085:$i, X1086:$i, X1087:$i, X1088:$i > $o, X1089:$i, X1091:$i, X1092:$i, X1093:$i > $o, X1094:$i > $o, X1097:$i, X1100:$i, X1101:$i, X1104:$i, X1105:$i, X1106:$i, X1107:$i, X1108:$i, X1109:$i, X1110:$i, X1111:$i, X1112:$i, X1113:$i > $o, X1114:$i, X1116:$i, X1117:$i, X1118:$i > $o, X1119:$i > $o, X1122:$i, X1124:$i, X1126:$i, X1127:$i, X1128:$i > $o, X1129:$i > $o, X1132:$i, X1133:$i, X1135:$i, X1136:$i, X1137:$i, X1138:$i, X1139:$i, X1140:$i, X1142:$i, X1143:$i, X1144:$i, X1145:$i, X1146:$i, X1147:$i, X1148:$i, X1149:$i, X1150:$i, X1151:$i, X1152:$i, 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 > $o, X1180:$i, X1181:$i > $o, X1182:$i, X1183:$i, X1184:$i, X1185:$i, X1186:$i, X1187:$i, X1188:$i, X1189:$i, X1190:$i, X1191:$i, X1192:$i, X1193:$o, X1194:$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:$i, X1220:$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:$i, X1261:$o, 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, X1280:$i, X1281:$i, X1282:$i, X1283:$i, X1284:$i, X1285:$i, X1286:$i, X1287:$i, X1288:$i, X1289:$i, X1290:$i, X1291:$i, X1292:$i, X1293:$i, X1294:$i, X1295:$i, X1296:$i, X1297:$i, X1298:$i, X1299:$i, X1300:$i, X1301:$i, X1302:$i, X1303:$i, X1304:$i, X1305:$i, X1306:$i, X1307:$i, X1308:$i, X1309:$i, X1310:$i, X1311:$i, X1312:$i, X1313:$i, X1314:$i, X1315:$i, X1316:$i, X1317:$i, X1318:$i, X1319:$i, X1320:$i, X1323:$i, X1324:$i, X1325:$i, X1326:$i, X1327:$i, X1329:$i, X1330:$i, X1331:$i, X1332:$i, X1333:$i > $o, X1336:$i, X1337:$i, X1338:$i > $o, X1340:$i, X1341:$i > $o, X1342:$i, X1344:$i, X1345:$i > $o, X1348:$i, X1349:$i, X1350:$i, X1351:$i, X1352:$i, X1353:$i, X1354:$i, X1355:$i, X1356:$i, X1357:$i, X1358:$i, X1359:$i, X1360:$i, X1361:$i, X1362:$i, X1363:$i, X1364:$i, X1365:$i, X1366:$i, X1367:$i, X1368:$i, X1369:$i, X1370:$i, X1371:$i, X1372:$i, X1373:$i, X1374:$i, X1375:$i, X1376:$i, X1377:$i, X1378:$i, X1379:$i, X1380:$i, X1381:$i, X1382:$i, X1383:$i, X1384:$i, X1385:$i, X1386:$i, X1387:$i, X1388:$i, X1389:$i, X1390:$i, X1391:$i, X1392:$i, X1393:$i, X1394:$i, X1395:$i, X1396:$i, X1397:$i, X1398:$i, X1399:$i, X1400:$i, X1401:$i, X1402:$i, X1403:$i, X1404:$i, X1405:$i, X1406:$i, X1407:$i, X1408:$i, X1409:$i, X1410:$i, X1411:$i, X1412:$i, X1413:$i, X1414:$i, X1415:$i, X1416:$i, X1417:$i, X1418:$i, X1419:$i, X1420:$i > $i > $o, X1421:$i, X1422:$i, X1423:$i, X1424:$i, X1425:$i > $i > $o, X1426:$i, X1427:$i, X1428:$i > $i > $o, X1429:$i, X1430:$i, X1431:$i > $i > $o, X1432:$i, X1433:$i, X1434:$i, X1435:$i, X1436:$i > $i > $o, X1437:$i, X1438:$i, X1439:$i, X1440:$i, X1441:$i > $i > $o, X1442:$i, X1443:$i, X1444:$i, X1445:$i, X1446:$i > $i > $o, X1447:$i, X1448:$i, X1449:$i, X1450:$i, X1451:$i, X1452:$i, X1453:$i, X1454:$i, X1455:$i, X1456:$i, X1457:$i, X1458:$i, X1459:$i, X1460:$i, X1461:$i, X1462:$i, X1463:$i, X1464:$i, X1465:$i, X1466:$i, X1467:$i, X1468:$i, X1469:$i, X1470:$i, X1471:$i, X1472:$i, X1473:$i > $i, X1475:$i, X1476:$i, X1477:$i > $i, X1479:$i, X1480:$i, X1481:$i > $i, X1483:$i, X1484:$i, X1485:$i, X1486:$i > $o, X1489:$i, X1490:$i, X1491:$i, X1492:$i, X1493:$i > $o, X1496:$i, X1497:$i, X1498:$i > $o, X1499:$i, X1500:$i, X1501:$i, X1502:$i, X1503:$i, X1504:$i, X1505:$i, X1506:$i, X1507:$i, X1508:$i, X1509:$i, X1510:$i, X1511:$i, X1512:$i, X1513:$i, X1514:$i, X1515:$i, X1516:$i, X1517:$i, X1519:$i, X1520:$i, X1521:$i, X1522:$i, X1523:$i, X1524:$i, X1525:$i, X1526:$i, X1527:$i, X1528:$i, X1529:$i, X1532:$i, X1533:$i, X1534:$i, X1535:$i, X1540:$i, X1541:$i, X1542:$i, X1543:$i, X1545:$i, X1546:$i, X1547:$i, X1548:$i, X1550:$i, X1551:$i, X1552:$i, X1553:$i, X1554:$i, X1555:$i, X1556:$i, X1557:$i, X1558:$i, X1559:$i, X1560:$i > $i, X1562:$i, X1563:$i, X1564:$i, X1565:$i, X1566:$i, X1567:$i, X1568:$i > $i, X1570:$i, X1571:$i, X1572:$i > $i, X1574:$i, X1575:$i, X1576:$i, X1577:$i, X1578:$i, X1579:$o, X1580:$i, X1581:$i, X1582:$i, X1583:$o, X1584:$i, X1585:$i, X1586:$i, X1587:$o, X1588:$i, X1589:$i, X1590:$i, X1591:$o, X1592:$i, X1593:$i, X1594:$i, X1595:$o, X1596:$i, X1597:$i, X1598:$i, X1599:$o, X1600:$i, X1601:$i, X1602:$i, X1603:$i, X1604:$i, X1605:$o, X1606:$i, X1607:$i, X1608:$i, X1609:$o, X1610:$i, X1611:$i, X1612:$i, X1613:$o, X1614:$i, X1615:$i, X1616:$i, X1617:$i, X1618:$i, X1619:$i, X1620:$i, X1621:$i, X1622:$i, X1623:$i, X1624:$i, X1625:$i, X1626:$i, X1627:$i, X1628:$i, X1629:$i, X1630:$i, X1631:$i, X1634:$i, X1635:$i, X1636:$i, X1638:$i, X1639:$i, X1640:$i, X1642:$i, X1643:$i, X1644:$i, X1645:$i, X1646:$i, X1647:$i, X1648:$i, X1649:$i, X1650:$i, X1651:$i, X1652:$i, X1653:$i, X1654:$i, X1655:$i, X1656:$i, X1657:$i, X1658:$i, X1659:$i, X1660:$i, X1661:$i, X1662:$i, X1663:$i, X1664:$i, X1665:$i, X1666:$i, X1667:$i, X1668:$i, X1669:$i, X1670:$i, X1671:$i, X1672:$i, X1673:$i, X1674:$i, X1675:$i, X1676:$i, X1677:$i, X1678:$i, X1679:$i, X1680:$i, X1681:$i, X1682:$i, X1683:$i, X1684:$i, X1685:$i, X1686:$i, X1687:$i, X1688:$i, X1689:$i, X1690:$i, X1691:$i, X1692:$i, X1693:$i, X1694:$i, X1695:$i, X1696:$i, X1697:$i, X1698:$i, X1699:$i, X1700:$i, X1701:$i, X1702:$i, X1703:$i, X1704:$i, X1705:$i, X1706:$i, X1707:$i, X1708:$i, X1709:$i, X1710:$i, X1711:$i, X1712:$i, X1713:$i, X1714:$i, X1715:$i, X1716:$i, X1717:$i, X1718:$i, X1719:$i, X1720:$i, X1721:$i, X1722:$i, X1723:$i, X1724:$i, X1725:$i, X1726:$i, X1727:$i, X1728:$i, X1729:$i]:(((~in @ (esk2_2 @ X898 @ X899) @ X898|~in @ (esk2_2 @ X898 @ X899) @ X899|(X898)=(X899))&(in @ (esk2_2 @ X898 @ X899) @ X898|in @ (esk2_2 @ X898 @ X899) @ X899|(X898)=(X899)))&(~in @ X901 @ emptyset&(((~in @ X904 @ (setadjoin @ X902 @ X903)|((X904)=(X902)|in @ X904 @ X903))&(((X904)!=(X902)|in @ X904 @ (setadjoin @ X902 @ X903))&(~in @ X904 @ X903|in @ X904 @ (setadjoin @ X902 @ X903))))&(((~in @ X906 @ (powerset @ X905)|(~in @ X907 @ X906|in @ X907 @ X905))&((in @ (esk3_2 @ X908 @ X909) @ X909|in @ X909 @ (powerset @ X908))&(~in @ (esk3_2 @ X908 @ X909) @ X908|in @ X909 @ (powerset @ X908))))&((((in @ X912 @ (esk4_2 @ X911 @ X912)|~in @ X912 @ (setunion @ X911))&(in @ (esk4_2 @ X911 @ X912) @ X911|~in @ X912 @ (setunion @ X911)))&(~in @ X915 @ X916|~in @ X916 @ X914|in @ X915 @ (setunion @ X914)))&(in @ emptyset @ omega&((~in @ X917 @ omega|in @ (setadjoin @ X917 @ X917) @ omega)&((((in @ (esk5_1 @ X918) @ omega|~in @ emptyset @ X918|(~in @ X920 @ omega|in @ X920 @ X918))&(in @ (esk5_1 @ X918) @ X918|~in @ emptyset @ X918|(~in @ X920 @ omega|in @ X920 @ X918)))&(~in @ (setadjoin @ (esk5_1 @ X918) @ (esk5_1 @ X918)) @ X918|~in @ emptyset @ X918|(~in @ X920 @ omega|in @ X920 @ X918)))&(((((in @ (esk9_3 @ X921 @ X922 @ X927) @ X922|~in @ X927 @ (esk8_2 @ X921 @ X922)|in @ (esk6_2 @ X921 @ X922) @ X922)&(X921 @ (esk9_3 @ X921 @ X922 @ X927) @ X927|~in @ X927 @ (esk8_2 @ X921 @ X922)|in @ (esk6_2 @ X921 @ X922) @ X922))&(~in @ X930 @ X922|~X921 @ X930 @ X929|in @ X929 @ (esk8_2 @ X921 @ X922)|in @ (esk6_2 @ X921 @ X922) @ X922))&((((in @ (esk9_3 @ X921 @ X922 @ X927) @ X922|~in @ X927 @ (esk8_2 @ X921 @ X922)|(X921 @ (esk6_2 @ X921 @ X922) @ (esk7_3 @ X921 @ X922 @ X924)|~X921 @ (esk6_2 @ X921 @ X922) @ X924))&(X921 @ (esk9_3 @ X921 @ X922 @ X927) @ X927|~in @ X927 @ (esk8_2 @ X921 @ X922)|(X921 @ (esk6_2 @ X921 @ X922) @ (esk7_3 @ X921 @ X922 @ X924)|~X921 @ (esk6_2 @ X921 @ X922) @ X924)))&(~in @ X930 @ X922|~X921 @ X930 @ X929|in @ X929 @ (esk8_2 @ X921 @ X922)|(X921 @ (esk6_2 @ X921 @ X922) @ (esk7_3 @ X921 @ X922 @ X924)|~X921 @ (esk6_2 @ X921 @ X922) @ X924)))&(((in @ (esk9_3 @ X921 @ X922 @ X927) @ X922|~in @ X927 @ (esk8_2 @ X921 @ X922)|((X924)!=(esk7_3 @ X921 @ X922 @ X924)|~X921 @ (esk6_2 @ X921 @ X922) @ X924))&(X921 @ (esk9_3 @ X921 @ X922 @ X927) @ X927|~in @ X927 @ (esk8_2 @ X921 @ X922)|((X924)!=(esk7_3 @ X921 @ X922 @ X924)|~X921 @ (esk6_2 @ X921 @ X922) @ X924)))&(~in @ X930 @ X922|~X921 @ X930 @ X929|in @ X929 @ (esk8_2 @ X921 @ X922)|((X924)!=(esk7_3 @ X921 @ X922 @ X924)|~X921 @ (esk6_2 @ X921 @ X922) @ X924)))))&(((in @ (esk10_1 @ X931) @ X931|~in @ X932 @ X931)&(~in @ X934 @ (esk10_1 @ X931)|~in @ X934 @ X931|~in @ X932 @ X931))&(epred9_0&(((X935 @ (esk11_2 @ X935 @ X936)|~X935 @ X936|X935 @ (descr @ (epred1_2 @ X935)))&((X936)!=(esk11_2 @ X935 @ X936)|~X935 @ X936|X935 @ (descr @ (epred1_2 @ X935))))&((~in @ X940 @ X938|(~X939 @ X940|in @ X940 @ (dsetconstr @ X938 @ (epred1_2 @ X939))))&((~in @ X943 @ (dsetconstr @ X941 @ (epred1_2 @ X942))|in @ X943 @ X941)&((~in @ X946 @ (dsetconstr @ X944 @ (epred1_2 @ X945))|X945 @ X946)&((((X947 @ (esk13_1 @ X947)|(X947 @ (esk12_2 @ X947 @ X948)|~X947 @ X948))&(~X947 @ X951|(esk13_1 @ X947)=(X951)|(X947 @ (esk12_2 @ X947 @ X948)|~X947 @ X948)))&((X947 @ (esk13_1 @ X947)|((X948)!=(esk12_2 @ X947 @ X948)|~X947 @ X948))&(~X947 @ X951|(esk13_1 @ X947)=(X951)|((X948)!=(esk12_2 @ X947 @ X948)|~X947 @ X948))))&((((~X952|X952|X952)&(~in @ X953 @ (prop2set @ $false)|X952|X952))&((~X952|~in @ X953 @ (prop2set @ $true)|X952)&(~in @ X953 @ (prop2set @ $false)|~in @ X953 @ (prop2set @ $true)|X952)))&((~in @ X954 @ emptyset|X955)&(~in @ X956 @ emptyset&(~in @ X957 @ emptyset&(((X958 @ (esk14_2 @ X958 @ X959)|~X958 @ X959|X958 @ (esk15_1 @ X958))&((X959)!=(esk14_2 @ X958 @ X959)|~X958 @ X959|X958 @ (esk15_1 @ X958)))&((((in @ (esk17_2 @ X962 @ X963) @ X963|(X962)=(X963)|in @ (esk16_2 @ X962 @ X963) @ X962)&(~in @ (esk17_2 @ X962 @ X963) @ X962|(X962)=(X963)|in @ (esk16_2 @ X962 @ X963) @ X962))&((in @ (esk17_2 @ X962 @ X963) @ X963|(X962)=(X963)|~in @ (esk16_2 @ X962 @ X963) @ X963)&(~in @ (esk17_2 @ X962 @ X963) @ X962|(X962)=(X963)|~in @ (esk16_2 @ X962 @ X963) @ X963)))&((in @ (esk18_1 @ X966) @ X966|(X966)=(emptyset))&((in @ (esk19_1 @ X968) @ X968|(X968)=(emptyset))&(((~in @ X972 @ (dsetconstr @ X970 @ (epred1_2 @ X971))|X971 @ X972|~in @ X972 @ X970)&(~X971 @ X972|in @ X972 @ (dsetconstr @ X970 @ (epred1_2 @ X971))|~in @ X972 @ X970))&(((X973)=(emptyset)|in @ (esk20_1 @ X973) @ X973)&((~in @ X977 @ X975|(~X976 @ X977|(dsetconstr @ X975 @ (epred1_2 @ X976))!=(emptyset)))&((~in @ X979 @ X978|(X978)!=(emptyset))&(in @ X980 @ (setadjoin @ X980 @ X981)&(in @ emptyset @ (setadjoin @ emptyset @ emptyset)&((~in @ X984 @ X983|in @ X984 @ (setadjoin @ X982 @ X983))&((((in @ X987 @ X986|X988|(X987)=(X985)|~in @ X987 @ (setadjoin @ X985 @ X986))&(~X988|X988|(X987)=(X985)|~in @ X987 @ (setadjoin @ X985 @ X986)))&((in @ X987 @ X986|X988|~X988|~in @ X987 @ (setadjoin @ X985 @ X986))&(~X988|X988|~X988|~in @ X987 @ (setadjoin @ X985 @ X986))))&((~in @ X991 @ (setadjoin @ X989 @ X990)|((X991)=(X989)|in @ X991 @ X990))&((dsetconstr @ X992 @ epred8_1)=(X992)&(((in @ (esk21_2 @ X993 @ X994) @ X994|in @ X994 @ (powerset @ X993))&(~in @ (esk21_2 @ X993 @ X994) @ X993|in @ X994 @ (powerset @ X993)))&(in @ emptyset @ (powerset @ X996)&(in @ emptyset @ (powerset @ X997)&((~in @ X999 @ (powerset @ X998)|(~in @ X1000 @ X999|in @ X1000 @ X998))&((~in @ X1002 @ X1003|(~in @ X1003 @ X1001|in @ X1002 @ (setunion @ X1001)))&(((in @ X1005 @ (esk22_3 @ X1004 @ X1005 @ X1006)|X1006|~in @ X1005 @ (setunion @ X1004))&((in @ (esk22_3 @ X1004 @ X1005 @ X1006) @ X1004|X1006|~in @ X1005 @ (setunion @ X1004))&(~X1006|X1006|~in @ X1005 @ (setunion @ X1004))))&((~in @ X1009 @ X1008|in @ X1009 @ (powerset @ (setunion @ X1008)))&((((~X1010 @ X1014|(X1014)=(esk24_1 @ X1010)|(X1010 @ (esk23_2 @ X1010 @ X1011)|~X1010 @ X1011))&((X1015)!=(esk24_1 @ X1010)|X1010 @ X1015|(X1010 @ (esk23_2 @ X1010 @ X1011)|~X1010 @ X1011)))&((~X1010 @ X1014|(X1014)=(esk24_1 @ X1010)|((X1011)!=(esk23_2 @ X1010 @ X1011)|~X1010 @ X1011))&((X1015)!=(esk24_1 @ X1010)|X1010 @ X1015|((X1011)!=(esk23_2 @ X1010 @ X1011)|~X1010 @ X1011))))&(((X1016)=(emptyset)|in @ (esk25_1 @ X1016) @ X1016)&((~in @ X1018 @ (setadjoin @ X1019 @ emptyset)|(X1018)=(X1019))&(((X1020)=(X1021)|~in @ X1021 @ (setadjoin @ X1020 @ emptyset))&(((X1022)!=(X1023)|in @ X1022 @ (setadjoin @ X1023 @ emptyset))&((~in @ X1024 @ (setadjoin @ X1025 @ emptyset)|in @ X1025 @ (setadjoin @ X1024 @ emptyset))&((~in @ X1028 @ (setadjoin @ X1026 @ (setadjoin @ X1027 @ emptyset))|((X1028)=(X1026)|(X1028)=(X1027)))&(in @ X1029 @ (setadjoin @ X1029 @ (setadjoin @ X1030 @ emptyset))&(in @ X1032 @ (setadjoin @ X1031 @ (setadjoin @ X1032 @ emptyset))&((~in @ X1035 @ X1033|~X1034 @ X1035|(dsetconstr @ X1033 @ (epred1_2 @ X1034))!=(emptyset))&((~in @ X1037 @ emptyset|X1036 @ X1037)&(((in @ (esk26_2 @ X1038 @ X1039) @ X1038|(~in @ X1040 @ X1038|X1039 @ X1040))&(~X1039 @ (esk26_2 @ X1038 @ X1039)|(~in @ X1040 @ X1038|X1039 @ X1040)))&(((in @ (esk27_2 @ X1042 @ X1043) @ X1042|(~in @ X1045 @ X1042|~X1043 @ X1045))&(X1043 @ (esk27_2 @ X1042 @ X1043)|(~in @ X1045 @ X1042|~X1043 @ X1045)))&(((in @ (esk28_2 @ X1046 @ X1047) @ X1046|(~in @ X1049 @ X1046|~X1047 @ X1049))&(X1047 @ (esk28_2 @ X1046 @ X1047)|(~in @ X1049 @ X1046|~X1047 @ X1049)))&(((in @ (esk29_2 @ X1050 @ X1051) @ X1050|(~in @ X1052 @ X1050|X1051 @ X1052))&(~X1051 @ (esk29_2 @ X1050 @ X1051)|(~in @ X1052 @ X1050|X1051 @ X1052)))&(((~X1054|in @ emptyset @ (prop2set @ $true)|~X1054)&(X1054|in @ emptyset @ (prop2set @ $false)|~X1054))&(((~X1055|set2prop @ (prop2set @ $true)|~X1055)&(X1055|set2prop @ (prop2set @ $false)|~X1055))&(((in @ (esk30_2 @ X1056 @ X1057) @ X1056|(~in @ X1059 @ X1056|~X1057 @ X1059))&(X1057 @ (esk30_2 @ X1056 @ X1057)|(~in @ X1059 @ X1056|~X1057 @ X1059)))&(((in @ (esk31_2 @ X1060 @ X1061) @ X1060|(~in @ X1062 @ X1060|X1061 @ X1062))&(~X1061 @ (esk31_2 @ X1060 @ X1061)|(~in @ X1062 @ X1060|X1061 @ X1062)))&((((X1064 @ (esk33_1 @ X1064)|(X1064 @ (esk32_2 @ X1064 @ X1065)|~X1064 @ X1065))&(~X1064 @ X1068|(esk33_1 @ X1064)=(X1068)|(X1064 @ (esk32_2 @ X1064 @ X1065)|~X1064 @ X1065)))&((X1064 @ (esk33_1 @ X1064)|((X1065)!=(esk32_2 @ X1064 @ X1065)|~X1064 @ X1065))&(~X1064 @ X1068|(esk33_1 @ X1064)=(X1068)|((X1065)!=(esk32_2 @ X1064 @ X1065)|~X1064 @ X1065))))&((((X1069 @ (esk36_1 @ X1069)|X1069 @ (esk34_1 @ X1069)|~X1069 @ X1070)&(~X1069 @ X1074|(esk36_1 @ X1069)=(X1074)|X1069 @ (esk34_1 @ X1069)|~X1069 @ X1070))&(((X1069 @ (esk36_1 @ X1069)|X1069 @ (esk35_1 @ X1069)|~X1069 @ X1070)&(~X1069 @ X1074|(esk36_1 @ X1069)=(X1074)|X1069 @ (esk35_1 @ X1069)|~X1069 @ X1070))&((X1069 @ (esk36_1 @ X1069)|(esk34_1 @ X1069)!=(esk35_1 @ X1069)|~X1069 @ X1070)&(~X1069 @ X1074|(esk36_1 @ X1069)=(X1074)|(esk34_1 @ X1069)!=(esk35_1 @ X1069)|~X1069 @ X1070))))&((((X1075 @ (esk38_1 @ X1075)|(~X1075 @ (esk37_2 @ X1075 @ X1076)|(esk37_2 @ X1075 @ X1076)!=(X1076)))&(~X1075 @ X1079|(esk38_1 @ X1075)=(X1079)|(~X1075 @ (esk37_2 @ X1075 @ X1076)|(esk37_2 @ X1075 @ X1076)!=(X1076))))&((X1075 @ (esk38_1 @ X1075)|(X1075 @ (esk37_2 @ X1075 @ X1076)|(esk37_2 @ X1075 @ X1076)=(X1076)))&(~X1075 @ X1079|(esk38_1 @ X1075)=(X1079)|(X1075 @ (esk37_2 @ X1075 @ X1076)|(esk37_2 @ X1075 @ X1076)=(X1076)))))&(((X1080)!=(X1081)|((X1082)!=(X1083)|(~in @ X1082 @ X1080|in @ X1083 @ X1081)))&(((~in @ X1086 @ X1084|in @ X1087 @ X1085|(X1086)!=(X1087)|(X1084)!=(X1085))&(~in @ X1087 @ X1085|in @ X1086 @ X1084|(X1086)!=(X1087)|(X1084)!=(X1085)))&(((X1088 @ (esk39_2 @ X1088 @ X1089)|~X1088 @ X1089|(~X1088 @ X1091|(~X1088 @ X1092|(X1091)=(X1092))))&((X1089)!=(esk39_2 @ X1088 @ X1089)|~X1088 @ X1089|(~X1088 @ X1091|(~X1088 @ X1092|(X1091)=(X1092)))))&((((((X1094 @ (esk43_2 @ X1093 @ X1094)|(X1093 @ (esk42_3 @ X1093 @ X1094 @ X1097)|~X1093 @ X1097)|(esk40_2 @ X1093 @ X1094)=(esk41_2 @ X1093 @ X1094))&(~X1094 @ X1100|(esk43_2 @ X1093 @ X1094)=(X1100)|(X1093 @ (esk42_3 @ X1093 @ X1094 @ X1097)|~X1093 @ X1097)|(esk40_2 @ X1093 @ X1094)=(esk41_2 @ X1093 @ X1094)))&((X1094 @ (esk43_2 @ X1093 @ X1094)|((X1097)!=(esk42_3 @ X1093 @ X1094 @ X1097)|~X1093 @ X1097)|(esk40_2 @ X1093 @ X1094)=(esk41_2 @ X1093 @ X1094))&(~X1094 @ X1100|(esk43_2 @ X1093 @ X1094)=(X1100)|((X1097)!=(esk42_3 @ X1093 @ X1094 @ X1097)|~X1093 @ X1097)|(esk40_2 @ X1093 @ X1094)=(esk41_2 @ X1093 @ X1094))))&(((X1093 @ (esk45_2 @ X1093 @ X1094)|(X1094 @ (esk44_3 @ X1093 @ X1094 @ X1101)|~X1094 @ X1101)|(esk40_2 @ X1093 @ X1094)=(esk41_2 @ X1093 @ X1094))&(~X1093 @ X1104|(esk45_2 @ X1093 @ X1094)=(X1104)|(X1094 @ (esk44_3 @ X1093 @ X1094 @ X1101)|~X1094 @ X1101)|(esk40_2 @ X1093 @ X1094)=(esk41_2 @ X1093 @ X1094)))&((X1093 @ (esk45_2 @ X1093 @ X1094)|((X1101)!=(esk44_3 @ X1093 @ X1094 @ X1101)|~X1094 @ X1101)|(esk40_2 @ X1093 @ X1094)=(esk41_2 @ X1093 @ X1094))&(~X1093 @ X1104|(esk45_2 @ X1093 @ X1094)=(X1104)|((X1101)!=(esk44_3 @ X1093 @ X1094 @ X1101)|~X1094 @ X1101)|(esk40_2 @ X1093 @ X1094)=(esk41_2 @ X1093 @ X1094)))))&(((((X1094 @ (esk43_2 @ X1093 @ X1094)|(X1093 @ (esk42_3 @ X1093 @ X1094 @ X1097)|~X1093 @ X1097)|(~X1093 @ (esk40_2 @ X1093 @ X1094)|~X1094 @ (esk41_2 @ X1093 @ X1094)))&(~X1094 @ X1100|(esk43_2 @ X1093 @ X1094)=(X1100)|(X1093 @ (esk42_3 @ X1093 @ X1094 @ X1097)|~X1093 @ X1097)|(~X1093 @ (esk40_2 @ X1093 @ X1094)|~X1094 @ (esk41_2 @ X1093 @ X1094))))&((X1094 @ (esk43_2 @ X1093 @ X1094)|((X1097)!=(esk42_3 @ X1093 @ X1094 @ X1097)|~X1093 @ X1097)|(~X1093 @ (esk40_2 @ X1093 @ X1094)|~X1094 @ (esk41_2 @ X1093 @ X1094)))&(~X1094 @ X1100|(esk43_2 @ X1093 @ X1094)=(X1100)|((X1097)!=(esk42_3 @ X1093 @ X1094 @ X1097)|~X1093 @ X1097)|(~X1093 @ (esk40_2 @ X1093 @ X1094)|~X1094 @ (esk41_2 @ X1093 @ X1094)))))&(((X1093 @ (esk45_2 @ X1093 @ X1094)|(X1094 @ (esk44_3 @ X1093 @ X1094 @ X1101)|~X1094 @ X1101)|(~X1093 @ (esk40_2 @ X1093 @ X1094)|~X1094 @ (esk41_2 @ X1093 @ X1094)))&(~X1093 @ X1104|(esk45_2 @ X1093 @ X1094)=(X1104)|(X1094 @ (esk44_3 @ X1093 @ X1094 @ X1101)|~X1094 @ X1101)|(~X1093 @ (esk40_2 @ X1093 @ X1094)|~X1094 @ (esk41_2 @ X1093 @ X1094))))&((X1093 @ (esk45_2 @ X1093 @ X1094)|((X1101)!=(esk44_3 @ X1093 @ X1094 @ X1101)|~X1094 @ X1101)|(~X1093 @ (esk40_2 @ X1093 @ X1094)|~X1094 @ (esk41_2 @ X1093 @ X1094)))&(~X1093 @ X1104|(esk45_2 @ X1093 @ X1094)=(X1104)|((X1101)!=(esk44_3 @ X1093 @ X1094 @ X1101)|~X1094 @ X1101)|(~X1093 @ (esk40_2 @ X1093 @ X1094)|~X1094 @ (esk41_2 @ X1093 @ X1094))))))&((((X1094 @ (esk43_2 @ X1093 @ X1094)|(X1093 @ (esk42_3 @ X1093 @ X1094 @ X1097)|~X1093 @ X1097)|(X1093 @ (esk40_2 @ X1093 @ X1094)|X1094 @ (esk41_2 @ X1093 @ X1094)))&(~X1094 @ X1100|(esk43_2 @ X1093 @ X1094)=(X1100)|(X1093 @ (esk42_3 @ X1093 @ X1094 @ X1097)|~X1093 @ X1097)|(X1093 @ (esk40_2 @ X1093 @ X1094)|X1094 @ (esk41_2 @ X1093 @ X1094))))&((X1094 @ (esk43_2 @ X1093 @ X1094)|((X1097)!=(esk42_3 @ X1093 @ X1094 @ X1097)|~X1093 @ X1097)|(X1093 @ (esk40_2 @ X1093 @ X1094)|X1094 @ (esk41_2 @ X1093 @ X1094)))&(~X1094 @ X1100|(esk43_2 @ X1093 @ X1094)=(X1100)|((X1097)!=(esk42_3 @ X1093 @ X1094 @ X1097)|~X1093 @ X1097)|(X1093 @ (esk40_2 @ X1093 @ X1094)|X1094 @ (esk41_2 @ X1093 @ X1094)))))&(((X1093 @ (esk45_2 @ X1093 @ 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(esk47_2 @ X1118 @ X1119)|X1119 @ (esk48_2 @ X1118 @ X1119)))))))&(((in @ (esk51_4 @ X1126 @ X1127 @ X1128 @ X1129) @ X1126|(dsetconstr @ X1126 @ (epred1_2 @ X1128))=(dsetconstr @ X1127 @ (epred1_2 @ X1129))|(X1126)!=(X1127))&((in @ (esk52_4 @ X1126 @ X1127 @ X1128 @ X1129) @ X1127|(dsetconstr @ X1126 @ (epred1_2 @ X1128))=(dsetconstr @ X1127 @ (epred1_2 @ X1129))|(X1126)!=(X1127))&(((esk51_4 @ X1126 @ X1127 @ X1128 @ X1129)=(esk52_4 @ X1126 @ X1127 @ X1128 @ X1129)|(dsetconstr @ X1126 @ (epred1_2 @ X1128))=(dsetconstr @ X1127 @ (epred1_2 @ X1129))|(X1126)!=(X1127))&((~X1128 @ (esk51_4 @ X1126 @ X1127 @ X1128 @ X1129)|~X1129 @ (esk52_4 @ X1126 @ X1127 @ X1128 @ X1129)|(dsetconstr @ X1126 @ (epred1_2 @ X1128))=(dsetconstr @ X1127 @ (epred1_2 @ X1129))|(X1126)!=(X1127))&(X1128 @ (esk51_4 @ X1126 @ X1127 @ X1128 @ X1129)|X1129 @ (esk52_4 @ X1126 @ X1127 @ X1128 @ X1129)|(dsetconstr @ X1126 @ (epred1_2 @ X1128))=(dsetconstr @ X1127 @ (epred1_2 @ X1129))|(X1126)!=(X1127))))))&(((in @ (esk53_2 @ X1132 @ X1133) @ X1132|subset @ X1132 @ X1133)&(~in @ (esk53_2 @ X1132 @ X1133) @ X1133|subset @ X1132 @ X1133))&(((X1135)!=(X1136)|subset @ X1136 @ X1135)&(((X1137)!=(X1138)|subset @ X1137 @ X1138)&(((in @ (esk54_2 @ X1139 @ X1140) @ X1139|subset @ X1139 @ X1140)&(~in @ (esk54_2 @ X1139 @ X1140) @ X1140|subset @ X1139 @ X1140))&(subset @ emptyset @ X1142&((~subset @ X1143 @ X1144|(~in @ X1145 @ X1143|in @ X1145 @ X1144))&((~subset @ X1146 @ X1147|(in @ X1148 @ X1147|~in @ X1148 @ X1146))&((~in @ X1151 @ X1149|(in @ X1151 @ X1150|~subset @ X1149 @ X1150))&((subset @ X1152 @ X1153|(X1152)!=(X1153))&((~in @ X1156 @ X1154|(in @ X1156 @ X1155|(X1154)!=(X1155)))&(subset @ X1157 @ X1157&((~subset @ X1158 @ X1159|(~subset @ X1159 @ X1160|subset @ X1158 @ X1160))&(subset @ X1162 @ (setadjoin @ X1161 @ X1162)&((~subset @ X1163 @ X1165|subset @ X1163 @ (setadjoin @ X1164 @ X1165))&((~subset @ X1166 @ X1167|in @ X1166 @ (powerset @ X1167))&((~subset @ X1168 @ X1169|(~subset @ X1169 @ X1168|(X1168)=(X1169)))&((~subset @ X1170 @ emptyset|(X1170)=(emptyset))&((~subset @ X1172 @ X1171|in @ X1172 @ (powerset @ X1171))&((~in @ X1174 @ (powerset @ X1173)|subset @ X1174 @ X1173)&(in @ X1175 @ (powerset @ X1175)&((~subset @ X1176 @ X1177|subset @ (powerset @ X1176) @ (powerset @ X1177))&(in @ (dsetconstr @ X1178 @ (epred1_2 @ X1179)) @ (powerset @ X1178)&(subset @ (dsetconstr @ X1180 @ (epred1_2 @ X1181)) @ X1180&((~in @ X1184 @ X1182|in @ X1184 @ (binunion @ X1182 @ X1183))&(in @ X1186 @ (setadjoin @ X1185 @ (setadjoin @ X1186 @ emptyset))&((~in @ X1189 @ X1188|in @ X1189 @ (binunion @ X1187 @ X1188))&((((in @ X1192 @ X1191|X1193|in @ X1192 @ X1190|~in @ X1192 @ (binunion @ X1190 @ X1191))&(~X1193|X1193|in @ X1192 @ X1190|~in @ X1192 @ (binunion @ X1190 @ X1191)))&((in @ X1192 @ X1191|X1193|~X1193|~in @ X1192 @ (binunion @ X1190 @ X1191))&(~X1193|X1193|~X1193|~in @ X1192 @ (binunion @ X1190 @ X1191))))&((~in @ X1196 @ (binunion @ X1194 @ X1195)|(in @ X1196 @ X1194|in @ X1196 @ X1195))&(subset @ X1197 @ (binunion @ X1197 @ X1198)&(subset @ X1200 @ (binunion @ X1199 @ X1200)&((~in @ X1203 @ X1201|(~in @ X1203 @ X1202|in @ X1203 @ (binintersect @ X1201 @ X1202)))&((~subset @ X1206 @ X1204|(~subset @ X1206 @ X1205|subset @ X1206 @ (binintersect @ X1204 @ X1205)))&((~in @ X1209 @ (binintersect @ X1207 @ X1208)|in @ X1209 @ X1207)&(subset @ (binintersect @ X1210 @ X1211) @ X1210&((~subset @ X1212 @ X1213|(binintersect @ X1212 @ X1213)=(X1212))&(((binintersect @ X1214 @ X1215)!=(X1215)|subset @ X1215 @ X1214)&((~in @ X1218 @ (binintersect @ X1216 @ X1217)|in @ X1218 @ X1217)&(((in @ (esk55_2 @ X1219 @ X1220) @ X1219|(binintersect @ X1219 @ X1220)=(emptyset))&(in @ (esk55_2 @ X1219 @ X1220) @ X1220|(binintersect @ X1219 @ X1220)=(emptyset)))&(subset @ (binintersect @ X1222 @ X1223) @ X1223&((~subset @ X1225 @ X1224|(binintersect @ X1224 @ X1225)=(X1225))&(((binintersect @ X1226 @ X1227)!=(X1226)|subset @ X1226 @ X1227)&((binintersect @ X1228 @ (binunion @ 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X1630 @ X1631) @ X1631|~in @ X1631 @ (powerset @ X1629)|~in @ X1630 @ (powerset @ X1629))))))&(((in @ (esk86_3 @ X1634 @ X1635 @ X1636) @ X1634|subset @ X1635 @ X1636|~in @ X1636 @ (powerset @ X1634)|~in @ X1635 @ (powerset @ X1634))&((in @ (esk86_3 @ X1634 @ X1635 @ X1636) @ X1635|subset @ X1635 @ X1636|~in @ X1636 @ (powerset @ X1634)|~in @ X1635 @ (powerset @ X1634))&(~in @ (esk86_3 @ X1634 @ X1635 @ X1636) @ X1636|subset @ X1635 @ X1636|~in @ X1636 @ (powerset @ X1634)|~in @ X1635 @ (powerset @ X1634))))&(((in @ (esk87_3 @ X1638 @ X1639 @ X1640) @ X1638|in @ X1639 @ (powerset @ X1640)|~in @ X1640 @ (powerset @ X1638)|~in @ X1639 @ (powerset @ X1638))&((in @ (esk87_3 @ X1638 @ X1639 @ X1640) @ X1639|in @ X1639 @ (powerset @ X1640)|~in @ X1640 @ (powerset @ X1638)|~in @ X1639 @ (powerset @ X1638))&(~in @ (esk87_3 @ X1638 @ X1639 @ X1640) @ X1640|in @ X1639 @ (powerset @ X1640)|~in @ X1640 @ (powerset @ X1638)|~in @ X1639 @ (powerset @ X1638))))&((~in @ X1643 @ (powerset @ X1642)|(~in @ X1644 @ (powerset @ X1642)|(~in @ X1645 @ X1642|(~in @ X1643 @ (powerset @ X1644)|(~in @ X1645 @ X1643|in @ X1645 @ X1644)))))&((~in @ X1647 @ (powerset @ X1646)|(~in @ X1648 @ X1646|(~in @ X1648 @ X1647|~in @ X1648 @ (setminus @ X1646 @ X1647))))&((~in @ X1650 @ (powerset @ X1649)|(~in @ X1651 @ X1649|(in @ X1651 @ (setminus @ X1649 @ X1650)|in @ X1651 @ X1650)))&((~in @ X1653 @ (powerset @ X1652)|(~in @ X1654 @ (powerset @ X1652)|(~in @ X1655 @ X1652|(in @ X1655 @ X1653|~in @ X1655 @ (binintersect @ X1653 @ X1654)))))&((~in @ X1657 @ (powerset @ X1656)|(~in @ X1658 @ (powerset @ X1656)|(~in @ X1659 @ X1656|(in @ X1659 @ X1658|~in @ X1659 @ (binintersect @ X1657 @ X1658)))))&((~in @ X1661 @ (powerset @ X1660)|(~in @ X1662 @ (powerset @ X1660)|(~in @ X1663 @ X1660|(~subset @ X1661 @ (setminus @ X1660 @ X1662)|(~in @ X1663 @ X1662|~in @ X1663 @ X1661)))))&((~in @ X1665 @ (powerset @ X1664)|(~in @ X1666 @ (powerset @ X1664)|(~in @ X1667 @ X1664|(~subset @ X1665 @ X1666|(in @ X1667 @ X1666|~in @ X1667 @ X1665)))))&((~in @ X1669 @ (powerset @ X1668)|(~in @ X1670 @ (powerset @ X1668)|(~subset @ X1669 @ X1670|subset @ (setminus @ X1668 @ X1670) @ (setminus @ X1668 @ X1669))))&((~in @ X1672 @ (powerset @ X1671)|(~in @ X1673 @ (powerset @ X1671)|(~subset @ (setminus @ X1671 @ X1673) @ (setminus @ X1671 @ X1672)|subset @ X1672 @ X1673)))&((~in @ X1675 @ (powerset @ X1674)|(~in @ X1676 @ X1674|(~in @ X1676 @ X1675|in @ X1676 @ (setminus @ X1674 @ (setminus @ X1674 @ X1675)))))&((~in @ X1678 @ (powerset @ X1677)|(~in @ X1679 @ X1677|(~in @ X1679 @ (setminus @ X1677 @ (setminus @ X1677 @ X1678))|in @ X1679 @ X1678)))&((~in @ X1681 @ (powerset @ X1680)|subset @ X1681 @ (setminus @ X1680 @ (setminus @ X1680 @ X1681)))&((~in @ X1683 @ (powerset @ X1682)|subset @ (setminus @ X1682 @ (setminus @ X1682 @ X1683)) @ X1683)&((~in @ X1685 @ (powerset @ X1684)|(X1685)=(setminus @ X1684 @ (setminus @ X1684 @ X1685)))&((~in @ X1687 @ (powerset @ X1686)|(~in @ X1688 @ (powerset @ X1686)|(~in @ X1689 @ X1686|(~in @ X1689 @ (setminus @ X1686 @ X1687)|~in @ X1689 @ (binintersect @ X1687 @ X1688)))))&((~in @ X1691 @ (powerset @ X1690)|(~in @ X1692 @ (powerset @ X1690)|(~in @ X1693 @ X1690|(~in @ X1693 @ (setminus @ X1690 @ X1691)|in @ X1693 @ (setminus @ X1690 @ (binintersect @ X1691 @ X1692))))))&((~in @ X1695 @ (powerset @ X1694)|(~in @ X1696 @ (powerset @ X1694)|subset @ (setminus @ X1694 @ X1695) @ (setminus @ X1694 @ (binintersect @ X1695 @ X1696))))&((~in @ X1698 @ (powerset @ X1697)|(~in @ X1699 @ (powerset @ X1697)|in @ (setminus @ X1697 @ X1698) @ (powerset @ (setminus @ X1697 @ (binintersect @ X1698 @ X1699)))))&((~in @ X1701 @ (powerset @ X1700)|(~in @ X1702 @ (powerset @ X1700)|(~subset @ X1701 @ (setminus @ X1700 @ X1702)|(~in @ X1703 @ X1700|(~in @ X1703 @ X1702|in @ X1703 @ (setminus @ X1700 @ X1701))))))&((~in @ X1705 @ (powerset @ X1704)|(~in @ X1706 @ (powerset @ X1704)|(~subset @ X1705 @ (setminus @ X1704 @ X1706)|subset @ X1706 @ (setminus @ X1704 @ X1705))))&((~in @ X1708 @ (powerset @ X1707)|(~in @ X1709 @ (powerset @ X1707)|(~in @ X1710 @ X1707|(in @ X1710 @ (binunion @ X1708 @ X1709)|~in @ X1710 @ X1708))))&((~in @ X1712 @ (powerset @ X1711)|(~in @ X1713 @ (powerset @ X1711)|(~in @ X1714 @ X1711|(in @ X1714 @ (binunion @ X1712 @ X1713)|~in @ X1714 @ X1713))))&((~in @ X1716 @ (powerset @ X1715)|(~in @ X1717 @ (powerset @ X1715)|(~in @ X1718 @ (powerset @ X1715)|(~in @ X1719 @ X1715|(~in @ X1719 @ (binintersect @ X1716 @ X1717)|in @ X1719 @ (binunion @ X1716 @ X1718))))))&((~in @ X1721 @ (powerset @ X1720)|(~in @ X1722 @ (powerset @ X1720)|(~in @ X1723 @ (powerset @ X1720)|(~in @ X1724 @ X1720|(~in @ X1724 @ (binintersect @ X1721 @ X1722)|in @ X1724 @ (binunion @ X1722 @ X1723))))))&((~in @ X1726 @ (powerset @ X1725)|(~in @ X1727 @ (powerset @ X1725)|(~in @ X1728 @ (powerset @ X1725)|(~in @ X1729 @ X1725|(~in @ X1729 @ (binintersect @ X1726 @ X1727)|in @ X1729 @ (binintersect @ (binunion @ X1726 @ X1728) @ (binunion @ X1727 @ X1728)))))))&(in @ esk89_0 @ (powerset @ esk88_0)&(in @ esk90_0 @ (powerset @ esk88_0)&(in @ esk91_0 @ (powerset @ esk88_0)&~in @ (binintersect @ esk89_0 @ esk90_0) @ (powerset @ (binintersect @ (binunion @ esk89_0 @ esk91_0) @ (binunion @ esk90_0 @ esk91_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_299])])])])])])).
49.66/49.90	thf(c_0_301, negated_conjecture, ![X2:$i, X3:$i]:(in @ X2 @ (powerset @ X3)|~subset @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_300])).
49.66/49.90	thf(c_0_302, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(subset @ X2 @ (binintersect @ X3 @ X4)|~subset @ X2 @ X3|~subset @ X2 @ X4), inference(split_conjunct,[status(thm)],[c_0_300])).
49.66/49.90	thf(c_0_303, negated_conjecture, ~in @ (binintersect @ esk89_0 @ esk90_0) @ (powerset @ (binintersect @ (binunion @ esk89_0 @ esk91_0) @ (binunion @ esk90_0 @ esk91_0))), inference(split_conjunct,[status(thm)],[c_0_300])).
49.66/49.90	thf(c_0_304, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(in @ X2 @ (powerset @ (binintersect @ X3 @ X4))|~subset @ X2 @ X4|~subset @ X2 @ X3), inference(spm,[status(thm)],[c_0_301, c_0_302])).
49.66/49.90	thf(c_0_305, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(subset @ X2 @ X4|~subset @ X2 @ X3|~subset @ X3 @ X4), inference(split_conjunct,[status(thm)],[c_0_300])).
49.66/49.90	thf(c_0_306, negated_conjecture, ![X2:$i, X3:$i]:subset @ X2 @ (binunion @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_300])).
49.66/49.90	thf(c_0_307, negated_conjecture, (~subset @ (binintersect @ esk89_0 @ esk90_0) @ (binunion @ esk90_0 @ esk91_0)|~subset @ (binintersect @ esk89_0 @ esk90_0) @ (binunion @ esk89_0 @ esk91_0)), inference(spm,[status(thm)],[c_0_303, c_0_304])).
49.66/49.90	thf(c_0_308, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(subset @ X2 @ (binunion @ X3 @ X4)|~subset @ X2 @ X3), inference(spm,[status(thm)],[c_0_305, c_0_306])).
49.66/49.90	thf(c_0_309, negated_conjecture, ![X2:$i, X3:$i]:subset @ (binintersect @ X2 @ X3) @ X3, inference(split_conjunct,[status(thm)],[c_0_300])).
49.66/49.90	thf(c_0_310, negated_conjecture, ~subset @ (binintersect @ esk89_0 @ esk90_0) @ (binunion @ esk89_0 @ esk91_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307, c_0_308]), c_0_309])])).
49.66/49.90	thf(c_0_311, negated_conjecture, ![X3:$i, X2:$i]:subset @ (binintersect @ X2 @ X3) @ X2, inference(split_conjunct,[status(thm)],[c_0_300])).
49.66/49.90	thf(c_0_312, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310, c_0_308]), c_0_311])]), ['proof']).
49.66/49.90	# SZS output end CNFRefutation
49.66/49.90	# Proof object total steps             : 313
49.66/49.90	# Proof object clause steps            : 12
49.66/49.90	# Proof object formula steps           : 301
49.66/49.90	# Proof object conjectures             : 15
49.66/49.90	# Proof object clause conjectures      : 12
49.66/49.90	# Proof object formula conjectures     : 3
49.66/49.90	# Proof object initial clauses used    : 7
49.66/49.90	# Proof object initial formulas used   : 264
49.66/49.90	# Proof object generating inferences   : 5
49.66/49.90	# Proof object simplifying inferences  : 4
49.66/49.90	# Training examples: 0 positive, 0 negative
49.66/49.90	# Parsed axioms                        : 561
49.66/49.90	# Removed by relevancy pruning/SinE    : 0
49.66/49.90	# Initial clauses                      : 769
49.66/49.90	# Removed in clause preprocessing      : 332
49.66/49.90	# Initial clauses in saturation        : 437
49.66/49.90	# Processed clauses                    : 6895
49.66/49.90	# ...of these trivial                  : 54
49.66/49.90	# ...subsumed                          : 3095
49.66/49.90	# ...remaining for further processing  : 3746
49.66/49.90	# Other redundant clauses eliminated   : 35580
49.66/49.90	# Clauses deleted for lack of memory   : 0
49.66/49.90	# Backward-subsumed                    : 72
49.66/49.90	# Backward-rewritten                   : 61
49.66/49.90	# Generated clauses                    : 466363
49.66/49.90	# ...of the previous two non-trivial   : 389039
49.66/49.90	# Contextual simplify-reflections      : 157
49.66/49.90	# Paramodulations                      : 285005
49.66/49.90	# Factorizations                       : 74
49.66/49.90	# NegExts                              : 685
49.66/49.90	# Equation resolutions                 : 35628
49.66/49.90	# Propositional unsat checks           : 0
49.66/49.90	#    Propositional check models        : 0
49.66/49.90	#    Propositional check unsatisfiable : 0
49.66/49.90	#    Propositional clauses             : 0
49.66/49.90	#    Propositional clauses after purity: 0
49.66/49.90	#    Propositional unsat core size     : 0
49.66/49.90	#    Propositional preprocessing time  : 0.000
49.66/49.90	#    Propositional encoding time       : 0.000
49.66/49.90	#    Propositional solver time         : 0.000
49.66/49.90	#    Success case prop preproc time    : 0.000
49.66/49.90	#    Success case prop encoding time   : 0.000
49.66/49.90	#    Success case prop solver time     : 0.000
49.66/49.90	# Current number of processed clauses  : 3488
49.66/49.90	#    Positive orientable unit clauses  : 79
49.66/49.90	#    Positive unorientable unit clauses: 0
49.66/49.90	#    Negative unit clauses             : 235
49.66/49.90	#    Non-unit-clauses                  : 3174
49.66/49.90	# Current number of unprocessed clauses: 382243
49.66/49.90	# ...number of literals in the above   : 2551676
49.66/49.90	# Current number of archived formulas  : 0
49.66/49.90	# Current number of archived clauses   : 244
49.66/49.90	# Clause-clause subsumption calls (NU) : 4731633
49.66/49.90	# Rec. Clause-clause subsumption calls : 331176
49.66/49.90	# Non-unit clause-clause subsumptions  : 1901
49.66/49.90	# Unit Clause-clause subsumption calls : 34012
49.66/49.90	# Rewrite failures with RHS unbound    : 0
49.66/49.90	# BW rewrite match attempts            : 130
49.66/49.90	# BW rewrite match successes           : 47
49.66/49.90	# Condensation attempts                : 0
49.66/49.90	# Condensation successes               : 0
49.66/49.90	# Termbank termtop insertions          : 19056233
49.72/49.92	
49.72/49.92	# -------------------------------------------------
49.72/49.92	# User time                : 49.232 s
49.72/49.92	# System time              : 0.290 s
49.72/49.92	# Total time               : 49.522 s
49.72/49.92	# Maximum resident set size: 2284 pages
49.72/49.92	EOF