0.08/0.14	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.14/0.18	% 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
0.18/0.39	% Computer   : n013.cluster.edu
0.18/0.39	% Model      : x86_64 x86_64
0.18/0.39	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.18/0.39	% Memory     : 8042.1875MB
0.18/0.39	% OS         : Linux 3.10.0-693.el7.x86_64
0.18/0.39	% CPULimit   : 1200
0.18/0.39	% WCLimit    : 120
0.18/0.39	% DateTime   : Tue Jul 13 14:26:18 EDT 2021
0.18/0.40	% CPUTime    : 
0.18/0.40	% Number of cores: 8
0.26/0.40	% Python version: Python 3.6.8
0.26/0.40	# Version: 2.6rc1-ho
0.26/0.42	# No SInE strategy applied
0.26/0.42	# Trying AutoSched0 for 59 seconds
0.55/0.78	# AutoSched0-Mode selected heuristic G_E___303_C18_F1_URBAN_S0Y
0.55/0.78	# and selection function SelectMaxLComplexAvoidPosPred.
0.55/0.78	#
0.55/0.78	# Preprocessing time       : 0.133 s
0.55/0.78	
0.55/0.78	# Proof found!
0.55/0.78	# SZS status Theorem
0.55/0.78	# SZS output start CNFRefutation
0.55/0.78	thf(replAx, axiom, (replAx<=>![X6:$i > $i > $o, X4:$i]:(![X2:$i]:(in @ X2 @ X4=>exu @ (^[X3:$i]:X6 @ X2 @ X3))=>?[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', replAx)).
0.55/0.78	thf(exu, axiom, (exu)=(^[X1:$i > $o]:?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exu)).
0.55/0.78	thf(descrp, axiom, (descrp<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>X1 @ (descr @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', descrp)).
0.55/0.78	thf(exuE1, axiom, (exuE1<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE1)).
0.55/0.78	thf(exuE3e, axiom, (exuE3e<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:X1 @ X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE3e)).
0.55/0.78	thf(nonemptyE1, axiom, (nonemptyE1<=>![X4:$i]:(nonempty @ X4=>?[X2:$i]:in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyE1)).
0.55/0.78	thf(nonempty, axiom, (nonempty)=(^[X2:$i]:(X2)!=(emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonempty)).
0.55/0.78	thf(nonemptyI, axiom, (nonemptyI<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyI)).
0.55/0.78	thf(nonemptyI1, axiom, (nonemptyI1<=>![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>nonempty @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyI1)).
0.55/0.78	thf(exuE2, axiom, (exuE2<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE2)).
0.55/0.78	thf(nonemptyImpWitness, axiom, (nonemptyImpWitness<=>![X4:$i]:(nonempty @ X4=>?[X2:$i]:(in @ X2 @ X4&$true))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyImpWitness)).
0.55/0.78	thf(exuI1, axiom, (exuI1<=>![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>exu @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuI1)).
0.55/0.78	thf(exuI3, axiom, (exuI3<=>![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>exu @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuI3)).
0.55/0.78	thf(exuI2, axiom, (exuI2<=>![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>exu @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuI2)).
0.55/0.78	thf(exuE3u, axiom, (exuE3u<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE3u)).
0.55/0.78	thf(exu__Cong, axiom, (exu__Cong<=>![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(exu @ (^[X2:$i]:X1 @ X2)<=>exu @ (^[X2:$i]:X17 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exu__Cong)).
0.55/0.78	thf(exuEu, axiom, (exuEu<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuEu)).
0.55/0.78	thf(descr__Cong, axiom, (descr__Cong<=>![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(exu @ (^[X2:$i]:X1 @ X2)=>(exu @ (^[X2:$i]:X17 @ X2)=>(descr @ (^[X2:$i]:X1 @ X2))=(descr @ (^[X2:$i]:X17 @ X2)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', descr__Cong)).
0.55/0.78	thf(ex1E1, axiom, (ex1E1<=>![X4:$i, X1:$i > $o]:(ex1 @ X4 @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:(in @ X2 @ X4&X1 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ex1E1)).
0.55/0.78	thf(ex1, axiom, (ex1)=(^[X4:$i, X1:$i > $o]:singleton @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ex1)).
0.55/0.78	thf(ex1I, axiom, (ex1I<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(![X3:$i]:(in @ X3 @ X4=>(X1 @ X3=>(X3)=(X2)))=>ex1 @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ex1I)).
0.55/0.78	thf(ex1I2, axiom, (ex1I2<=>![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))))=>(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>ex1 @ X4 @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ex1I2)).
0.55/0.78	thf(setOfPairsIsBReln, axiom, (setOfPairsIsBReln<=>![X4:$i, X5:$i, X24:$i > $i > $o]:breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:X24 @ X2 @ X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setOfPairsIsBReln)).
0.55/0.78	thf(breln, axiom, (breln)=(^[X4:$i, X5:$i, X7:$i]:subset @ X7 @ (cartprod @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln)).
0.55/0.78	thf(brelnall1, axiom, (brelnall1<=>![X4:$i, X5:$i, X33:$i]:(breln @ X4 @ X5 @ X33=>![X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>X1 @ (kpair @ X2 @ X3))))=>![X2:$i]:(in @ X2 @ X33=>X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', brelnall1)).
0.55/0.78	thf(brelnall2, axiom, (brelnall2<=>![X4:$i, X5:$i, X33:$i]:(breln @ X4 @ X5 @ X33=>![X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>X1 @ (kpair @ X2 @ X3))))=>![X2:$i]:(in @ X2 @ X33=>X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', brelnall2)).
0.55/0.78	thf(ex1E2, axiom, (ex1E2<=>![X4:$i, X1:$i > $o]:(ex1 @ X4 @ (^[X2:$i]:X1 @ X2)=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ex1E2)).
0.55/0.78	thf(subbreln, axiom, (subbreln<=>![X4:$i, X5:$i, X33:$i]:(breln @ X4 @ X5 @ X33=>![X35:$i]:(breln @ X4 @ X5 @ X35=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>in @ (kpair @ X2 @ X3) @ X35)))=>subset @ X33 @ X35)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subbreln)).
0.55/0.78	thf(eqbreln, axiom, (eqbreln<=>![X4:$i, X5:$i, X33:$i]:(breln @ X4 @ X5 @ X33=>![X35:$i]:(breln @ X4 @ X5 @ X35=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>in @ (kpair @ X2 @ X3) @ X35)))=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X35=>in @ (kpair @ X2 @ X3) @ X33)))=>(X33)=(X35)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqbreln)).
0.55/0.78	thf(inIntersectImpInIntersectUnions, conjecture, (setextAx=>(emptysetAx=>((powersetAx=>(((((replAx=>((wellorderingAx=>(((dsetconstrEL=>((exuE1=>(prop2setE=>(((notinemptyset=>(((emptyI=>((setbeta=>(nonemptyE1=>(nonemptyI=>(nonemptyI1=>(((setadjoinIR=>(setadjoinE=>((setoftrueEq=>((emptyinPowerset=>((powersetE=>(setunionI=>((subPowSU=>(exuE2=>(((notinsingleton=>(eqinunit=>(singletonsswitch=>(upairsetE=>(upairsetIL=>(upairsetIR=>(emptyE1=>(((quantDeMorgan2=>((quantDeMorgan4=>(((notdexE=>((exuI1=>(exuI3=>((((exuE3u=>((emptyset__Cong=>(setadjoin__Cong=>(powerset__Cong=>(((exuEu=>((dsetconstr__Cong=>(subsetI1=>(eqimpsubset2=>(eqimpsubset1=>(subsetI2=>(emptysetsubset=>(((notsubsetI=>(notequalI1=>((subsetRefl=>(subsetTrans=>(setadjoinSub=>(setadjoinSub2=>(subset2powerset=>(setextsub=>(((powersetE1=>(((sepInPowerset=>((binunionIL=>((binunionIR=>(binunionEcases=>(binunionE=>(binunionLsub=>(binunionRsub=>(binintersectI=>(binintersectSubset5=>(binintersectEL=>((binintersectSubset2=>(binintersectSubset3=>(binintersectER=>(disjointsetsI1=>(binintersectRsub=>(binintersectSubset4=>(((setminusI=>(setminusEL=>((((setminusELneg=>(setminusILneg=>(setminusIRneg=>(setminusLsub=>(setminusSubset1=>(symdiffE=>(symdiffI1=>(symdiffI2=>((symdiffIneg2=>(secondinupair=>(setukpairIL=>(setukpairIR=>(kpairiskpair=>(kpairp=>((singletoninpowerset=>((upairset2E=>((upairinpowunion=>(ubforcartprodlem1=>((((cartprodmempair1=>((setunionE2=>((((((ex1I=>(ex1I2=>(singletonsuniq=>((kfstsingleton=>(theprop=>(kfstpairEq=>(cartprodfstin=>((setukpairinjL=>(setukpairinjR11=>(setukpairinjR12=>(((setukpairinjR2=>(setukpairinjR=>(ksndsingleton=>(ksndpairEq=>(((cartprodpairmemEL=>(cartprodpairmemER=>(((cartprodsndpairEq=>(((((((dpsetconstrEL2=>(dpsetconstrER=>(funcImageSingleton=>(((infuncsetfunc=>(ap2p=>(funcinfuncset=>((lamp=>((brelnall1=>(((funcGraphProp1=>(((funcextLem=>((subbreln=>((((ap2apEq1=>((beta1=>(eta1=>(lam2lamEq=>(beta2=>((iffalseProp1=>((iftrueProp1=>(iftrueProp2=>(ifSingleton=>(((iftrue=>(iffalse=>(((binunionT_lem=>(powersetT_lem=>((complementT_lem=>(setextT=>(subsetTI=>((((complementTE1=>((binintersectTERcontra=>((contrasubsetT1=>(contrasubsetT2=>(contrasubsetT3=>(doubleComplementI1=>(doubleComplementE1=>(((doubleComplementEq=>(((complementSubsetComplementIntersect=>(complementInPowersetComplementIntersect=>((complementTcontraSubset=>(binunionTILcontra=>(binunionTIRcontra=>((inIntersectImpInUnion2=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X49:$i]:(![X2:$i]:((in @ X2 @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))<=in @ X2 @ (binintersect @ X21 @ X48))<=in @ X2 @ X4)<=in @ X49 @ (powerset @ X4)))))<=inIntersectImpInUnion))))<=contraSubsetComplement)))<=complementImpComplementIntersect)<=complementTnotintersectT))<=doubleComplementSub2)<=doubleComplementSub1))))))<=contrasubsetT))<=binintersectTELcontra))<=complementTI1)<=powersetTE1)<=powersetTI1))))<=setminusT_lem)))<=binintersectT_lem)<=iftrueorfalse)))<=theeq)<=ifp))))<=iffalseProp2))<=eta2)))))<=ap2apEq2))<=funcext2)<=funcext)<=eqbreln))<=funcGraphProp4))<=funcGraphProp2)<=funcGraphProp3))<=ex1E2)<=brelnall2))<=lam2p))<=lamProp))))<=app)<=apProp))))<=dpsetconstrEL1)<=dpsetconstrERa)<=setOfPairsIsBReln)<=dpsetconstrSub)<=dpsetconstrI)<=cartprodpairsurjEq))<=cartprodfstpairEq)<=cartprodmempaircEq)))<=cartprodsndin)<=kpairsurjEq)))))<=upairequniteq)<=setukpairinjR1))))<=setukpairinjL2)))))<=setukpairinjL1))))<=ex1E1)<=singletonprop)<=setunionsingleton)<=setunionsingleton2)<=setunionsingleton1))<=cartprodmempair))<=cartprodpairin)<=ubforcartprodlem3)<=ubforcartprodlem2)))<=upairsubunion))<=singletoninpowunion))<=singletonsubset)))))))<=symdiffIneg1)))))))))<=setminusERneg)<=setminusSubset2)<=setminusER)))<=bs114d)<=binintersectSubset1)))))))<=binintersectLsub)))))))))<=upairset2IR))<=sepSubset))<=powersetsubset)<=inPowerset))<=powersetI1)<=subsetemptysetimpeq)))))))<=notequalI2)))<=subsetE2)<=subsetE)))))))<=descr__Cong))<=omega__Cong)<=setunion__Cong))))<=exu__Cong))<=in__Cong)<=inCongP)<=exuI2)))<=notdallE))<=prop2set2propI)<=prop2setI))<=quantDeMorgan3))<=quantDeMorgan1)<=vacuousDall))))))))<=uniqinunit)<=nonemptyImpWitness)))<=setunionE)))<=emptyInPowerset))<=powersetI))<=setadjoinOr)))<=emptyinunitempty)<=setadjoinIL)))))<=noeltsimpempty))<=setext)<=exuE3e))<=emptysetimpfalse)<=emptysetE)))<=dsetconstrER))<=dsetconstrI)<=descrp))<=foundationAx))<=omegaIndAx)<=omegaSAx)<=omega0Ax)<=setunionAx))<=setadjoinAx))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', inIntersectImpInIntersectUnions)).
0.55/0.78	thf(setextAx, axiom, (setextAx<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4<=>in @ X2 @ X5)=>(X4)=(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setextAx)).
0.55/0.78	thf(emptysetAx, axiom, (emptysetAx<=>![X2:$i]:~(in @ X2 @ emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetAx)).
0.55/0.78	thf(setadjoinAx, axiom, (setadjoinAx<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)<=>((X3)=(X2)|in @ X3 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinAx)).
0.55/0.78	thf(powersetAx, axiom, (powersetAx<=>![X4:$i, X5:$i]:(in @ X5 @ (powerset @ X4)<=>![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetAx)).
0.55/0.78	thf(setunionAx, axiom, (setunionAx<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)<=>?[X5:$i]:(in @ X2 @ X5&in @ X5 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionAx)).
0.55/0.78	thf(omega0Ax, axiom, (omega0Ax<=>in @ emptyset @ omega), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omega0Ax)).
0.55/0.78	thf(omegaSAx, axiom, (omegaSAx<=>![X2:$i]:(in @ X2 @ omega=>in @ (setadjoin @ X2 @ X2) @ omega)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omegaSAx)).
0.55/0.78	thf(omegaIndAx, axiom, (omegaIndAx<=>![X4:$i]:((in @ emptyset @ X4&![X2:$i]:((in @ X2 @ omega&in @ X2 @ X4)=>in @ (setadjoin @ X2 @ X2) @ X4))=>![X2:$i]:(in @ X2 @ omega=>in @ X2 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omegaIndAx)).
0.55/0.78	thf(foundationAx, axiom, (foundationAx<=>![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>?[X5:$i]:(in @ X5 @ X4&~(?[X2:$i]:(in @ X2 @ X5&in @ X2 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', foundationAx)).
0.55/0.78	thf(wellorderingAx, axiom, (wellorderingAx<=>![X4:$i]:?[X5:$i]:(((![X7:$i]:(in @ X7 @ X5=>![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X4))&![X2:$i, X3:$i]:((in @ X2 @ X4&in @ X3 @ X4)=>(![X7:$i]:(in @ X7 @ X5=>(in @ X2 @ X7<=>in @ X3 @ X7))=>(X2)=(X3))))&![X7:$i, X8:$i]:((in @ X7 @ X5&in @ X8 @ X5)=>(![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X8)|![X2:$i]:(in @ X2 @ X8=>in @ X2 @ X7))))&![X7:$i]:((![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X4)&?[X2:$i]:in @ X2 @ X7)=>?[X8:$i, X2:$i]:(((in @ X8 @ X5&in @ X2 @ X7)&~(?[X3:$i]:(in @ X3 @ X8&in @ X3 @ X7)))&![X9:$i]:(in @ X9 @ X5=>(![X3:$i]:(in @ X3 @ X9=>in @ X3 @ X8)|in @ X2 @ X9)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', wellorderingAx)).
0.55/0.78	thf(dsetconstrI, axiom, (dsetconstrI<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrI)).
0.55/0.78	thf(dsetconstrEL, axiom, (dsetconstrEL<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))=>in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrEL)).
0.55/0.78	thf(dsetconstrER, axiom, (dsetconstrER<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))=>X1 @ X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrER)).
0.55/0.78	thf(prop2setE, axiom, (prop2setE<=>![X10:$o, X2:$i]:(in @ X2 @ (prop2set @ (X10))=>X10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2setE)).
0.55/0.78	thf(emptysetE, axiom, (emptysetE<=>![X2:$i]:(in @ X2 @ emptyset=>![X11:$o]:X11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetE)).
0.55/0.78	thf(emptysetimpfalse, axiom, (emptysetimpfalse<=>![X2:$i]:(in @ X2 @ emptyset=>~$true)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetimpfalse)).
0.55/0.78	thf(notinemptyset, axiom, (notinemptyset<=>![X2:$i]:~(in @ X2 @ emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notinemptyset)).
0.55/0.78	thf(setext, axiom, (setext<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>(X4)=(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setext)).
0.55/0.78	thf(emptyI, axiom, (emptyI<=>![X4:$i]:(![X2:$i]:~(in @ X2 @ X4)=>(X4)=(emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyI)).
0.55/0.78	thf(noeltsimpempty, axiom, (noeltsimpempty<=>![X4:$i]:(![X2:$i]:~(in @ X2 @ X4)=>(X4)=(emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', noeltsimpempty)).
0.55/0.78	thf(setbeta, axiom, (setbeta<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))<=>X1 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setbeta)).
0.55/0.78	thf(setadjoinIL, axiom, (setadjoinIL<=>![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinIL)).
0.55/0.78	thf(emptyinunitempty, axiom, (emptyinunitempty<=>in @ emptyset @ (setadjoin @ emptyset @ emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyinunitempty)).
0.55/0.78	thf(setadjoinIR, axiom, (setadjoinIR<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ X4=>in @ X3 @ (setadjoin @ X2 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinIR)).
0.55/0.78	thf(setadjoinE, axiom, (setadjoinE<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>![X12:$o]:(((X3)=(X2)=>X12)=>((in @ X3 @ X4=>X12)=>X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinE)).
0.55/0.78	thf(setadjoinOr, axiom, (setadjoinOr<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>((X3)=(X2)|in @ X3 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinOr)).
0.55/0.78	thf(setoftrueEq, axiom, (setoftrueEq<=>![X4:$i]:(dsetconstr @ X4 @ (^[X2:$i]:$true))=(X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setoftrueEq)).
0.55/0.78	thf(powersetI, axiom, (powersetI<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>in @ X5 @ (powerset @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetI)).
0.55/0.78	thf(emptyinPowerset, axiom, (emptyinPowerset<=>![X4:$i]:in @ emptyset @ (powerset @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyinPowerset)).
0.55/0.78	thf(emptyInPowerset, axiom, (emptyInPowerset<=>![X4:$i]:in @ emptyset @ (powerset @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyInPowerset)).
0.55/0.78	thf(powersetE, axiom, (powersetE<=>![X4:$i, X5:$i, X2:$i]:(in @ X5 @ (powerset @ X4)=>(in @ X2 @ X5=>in @ X2 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetE)).
0.55/0.78	thf(setunionI, axiom, (setunionI<=>![X4:$i, X2:$i, X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>in @ X2 @ (setunion @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionI)).
0.55/0.78	thf(setunionE, axiom, (setunionE<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)=>![X13:$o]:(![X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>X13))=>X13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionE)).
0.55/0.78	thf(subPowSU, axiom, (subPowSU<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (powerset @ (setunion @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subPowSU)).
0.55/0.78	thf(uniqinunit, axiom, (uniqinunit<=>![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', uniqinunit)).
0.55/0.78	thf(notinsingleton, axiom, (notinsingleton<=>![X2:$i, X3:$i]:((X2)!=(X3)=>~(in @ X3 @ (setadjoin @ X2 @ emptyset)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notinsingleton)).
0.55/0.78	thf(eqinunit, axiom, (eqinunit<=>![X2:$i, X3:$i]:((X2)=(X3)=>in @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqinunit)).
0.55/0.78	thf(singletonsswitch, axiom, (singletonsswitch<=>![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>in @ X3 @ (setadjoin @ X2 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletonsswitch)).
0.55/0.78	thf(upairsetE, axiom, (upairsetE<=>![X2:$i, X3:$i, X14:$i]:(in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>((X14)=(X2)|(X14)=(X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsetE)).
0.55/0.78	thf(upairsetIL, axiom, (upairsetIL<=>![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsetIL)).
0.55/0.78	thf(upairsetIR, axiom, (upairsetIR<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsetIR)).
0.55/0.78	thf(emptyE1, axiom, (emptyE1<=>![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>((dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))=(emptyset)=>~$true))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyE1)).
0.55/0.78	thf(vacuousDall, axiom, (vacuousDall<=>![X1:$i > $o, X2:$i]:(in @ X2 @ emptyset=>X1 @ X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', vacuousDall)).
0.55/0.78	thf(quantDeMorgan1, axiom, (quantDeMorgan1<=>![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan1)).
0.55/0.78	thf(quantDeMorgan2, axiom, (quantDeMorgan2<=>![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2))=>~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan2)).
0.55/0.78	thf(quantDeMorgan3, axiom, (quantDeMorgan3<=>![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan3)).
0.55/0.78	thf(quantDeMorgan4, axiom, (quantDeMorgan4<=>![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2))=>~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan4)).
0.55/0.78	thf(prop2setI, axiom, (prop2setI<=>![X15:$o]:(X15=>in @ emptyset @ (prop2set @ (X15)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2setI)).
0.55/0.78	thf(prop2set2propI, axiom, (prop2set2propI<=>![X16:$o]:(X16=>set2prop @ (prop2set @ (X16)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2set2propI)).
0.55/0.78	thf(notdexE, axiom, (notdexE<=>![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notdexE)).
0.55/0.78	thf(notdallE, axiom, (notdallE<=>![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notdallE)).
0.55/0.78	thf(inCongP, axiom, (inCongP<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4=>in @ X3 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', inCongP)).
0.55/0.78	thf(in__Cong, axiom, (in__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4<=>in @ X3 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', in__Cong)).
0.55/0.78	thf(emptyset__Cong, axiom, (emptyset__Cong<=>(emptyset)=(emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyset__Cong)).
0.55/0.78	thf(setadjoin__Cong, axiom, (setadjoin__Cong<=>![X2:$i, X3:$i]:((X2)=(X3)=>![X14:$i, X18:$i]:((X14)=(X18)=>(setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoin__Cong)).
0.55/0.78	thf(powerset__Cong, axiom, (powerset__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>(powerset @ X4)=(powerset @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powerset__Cong)).
0.55/0.78	thf(setunion__Cong, axiom, (setunion__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>(setunion @ X4)=(setunion @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunion__Cong)).
0.55/0.78	thf(omega__Cong, axiom, (omega__Cong<=>(omega)=(omega)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omega__Cong)).
0.55/0.78	thf(dsetconstr__Cong, axiom, (dsetconstr__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X1:$i > $o, X17:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))))=>(dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))=(dsetconstr @ X5 @ (^[X2:$i]:X17 @ X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstr__Cong)).
0.55/0.78	thf(subsetI1, axiom, (subsetI1<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetI1)).
0.55/0.78	thf(eqimpsubset2, axiom, (eqimpsubset2<=>![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X5 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqimpsubset2)).
0.55/0.78	thf(eqimpsubset1, axiom, (eqimpsubset1<=>![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqimpsubset1)).
0.55/0.78	thf(subsetI2, axiom, (subsetI2<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetI2)).
0.55/0.78	thf(emptysetsubset, axiom, (emptysetsubset<=>![X4:$i]:subset @ emptyset @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetsubset)).
0.55/0.78	thf(subsetE, axiom, (subsetE<=>![X4:$i, X5:$i, X2:$i]:(subset @ X4 @ X5=>(in @ X2 @ X4=>in @ X2 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetE)).
0.55/0.78	thf(subsetE2, axiom, (subsetE2<=>![X4:$i, X5:$i, X2:$i]:(subset @ X4 @ X5=>(~(in @ X2 @ X5)=>~(in @ X2 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetE2)).
0.55/0.78	thf(notsubsetI, axiom, (notsubsetI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>~(subset @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notsubsetI)).
0.55/0.78	thf(notequalI1, axiom, (notequalI1<=>![X4:$i, X5:$i]:(~(subset @ X4 @ X5)=>(X4)!=(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notequalI1)).
0.55/0.78	thf(notequalI2, axiom, (notequalI2<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>(X4)!=(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notequalI2)).
0.55/0.78	thf(subsetRefl, axiom, (subsetRefl<=>![X4:$i]:subset @ X4 @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetRefl)).
0.55/0.78	thf(subsetTrans, axiom, (subsetTrans<=>![X4:$i, X5:$i, X7:$i]:(subset @ X4 @ X5=>(subset @ X5 @ X7=>subset @ X4 @ X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetTrans)).
0.55/0.78	thf(setadjoinSub, axiom, (setadjoinSub<=>![X2:$i, X4:$i]:subset @ X4 @ (setadjoin @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinSub)).
0.55/0.78	thf(setadjoinSub2, axiom, (setadjoinSub2<=>![X4:$i, X2:$i, X5:$i]:(subset @ X4 @ X5=>subset @ X4 @ (setadjoin @ X2 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinSub2)).
0.55/0.78	thf(subset2powerset, axiom, (subset2powerset<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>in @ X4 @ (powerset @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset2powerset)).
0.55/0.78	thf(setextsub, axiom, (setextsub<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(subset @ X5 @ X4=>(X4)=(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setextsub)).
0.55/0.78	thf(subsetemptysetimpeq, axiom, (subsetemptysetimpeq<=>![X4:$i]:(subset @ X4 @ emptyset=>(X4)=(emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetemptysetimpeq)).
0.55/0.78	thf(powersetI1, axiom, (powersetI1<=>![X4:$i, X5:$i]:(subset @ X5 @ X4=>in @ X5 @ (powerset @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetI1)).
0.55/0.78	thf(powersetE1, axiom, (powersetE1<=>![X4:$i, X5:$i]:(in @ X5 @ (powerset @ X4)=>subset @ X5 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetE1)).
0.55/0.78	thf(inPowerset, axiom, (inPowerset<=>![X4:$i]:in @ X4 @ (powerset @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', inPowerset)).
0.55/0.78	thf(powersetsubset, axiom, (powersetsubset<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>subset @ (powerset @ X4) @ (powerset @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetsubset)).
0.55/0.78	thf(sepInPowerset, axiom, (sepInPowerset<=>![X4:$i, X1:$i > $o]:in @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2)) @ (powerset @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sepInPowerset)).
0.55/0.78	thf(sepSubset, axiom, (sepSubset<=>![X4:$i, X1:$i > $o]:subset @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2)) @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sepSubset)).
0.55/0.78	thf(binunionIL, axiom, (binunionIL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (binunion @ X4 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionIL)).
0.55/0.78	thf(upairset2IR, axiom, (upairset2IR<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairset2IR)).
0.55/0.78	thf(binunionIR, axiom, (binunionIR<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X5=>in @ X2 @ (binunion @ X4 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionIR)).
0.55/0.78	thf(binunionEcases, axiom, (binunionEcases<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(in @ X2 @ (binunion @ X4 @ X5)=>((in @ X2 @ X4=>X19)=>((in @ X2 @ X5=>X19)=>X19)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionEcases)).
0.55/0.78	thf(binunionE, axiom, (binunionE<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binunion @ X4 @ X5)=>(in @ X2 @ X4|in @ X2 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionE)).
0.55/0.78	thf(binunionLsub, axiom, (binunionLsub<=>![X4:$i, X5:$i]:subset @ X4 @ (binunion @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionLsub)).
0.55/0.78	thf(binunionRsub, axiom, (binunionRsub<=>![X4:$i, X5:$i]:subset @ X5 @ (binunion @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionRsub)).
0.55/0.78	thf(binintersectI, axiom, (binintersectI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X5=>in @ X2 @ (binintersect @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectI)).
0.55/0.78	thf(binintersectSubset5, axiom, (binintersectSubset5<=>![X4:$i, X5:$i, X7:$i]:(subset @ X7 @ X4=>(subset @ X7 @ X5=>subset @ X7 @ (binintersect @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset5)).
0.55/0.78	thf(binintersectEL, axiom, (binintersectEL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binintersect @ X4 @ X5)=>in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectEL)).
0.55/0.78	thf(binintersectLsub, axiom, (binintersectLsub<=>![X4:$i, X5:$i]:subset @ (binintersect @ X4 @ X5) @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectLsub)).
0.55/0.78	thf(binintersectSubset2, axiom, (binintersectSubset2<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(binintersect @ X4 @ X5)=(X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset2)).
0.55/0.78	thf(binintersectSubset3, axiom, (binintersectSubset3<=>![X4:$i, X5:$i]:((binintersect @ X4 @ X5)=(X5)=>subset @ X5 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset3)).
0.55/0.78	thf(binintersectER, axiom, (binintersectER<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binintersect @ X4 @ X5)=>in @ X2 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectER)).
0.55/0.78	thf(disjointsetsI1, axiom, (disjointsetsI1<=>![X4:$i, X5:$i]:(~(?[X2:$i]:(in @ X2 @ X4&in @ X2 @ X5))=>(binintersect @ X4 @ X5)=(emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', disjointsetsI1)).
0.55/0.78	thf(binintersectRsub, axiom, (binintersectRsub<=>![X4:$i, X5:$i]:subset @ (binintersect @ X4 @ X5) @ X5), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectRsub)).
0.55/0.78	thf(binintersectSubset4, axiom, (binintersectSubset4<=>![X4:$i, X5:$i]:(subset @ X5 @ X4=>(binintersect @ X4 @ X5)=(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset4)).
0.55/0.78	thf(binintersectSubset1, axiom, (binintersectSubset1<=>![X4:$i, X5:$i]:((binintersect @ X4 @ X5)=(X4)=>subset @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset1)).
0.55/0.78	thf(bs114d, axiom, (bs114d<=>![X4:$i, X5:$i, X7:$i]:(binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', bs114d)).
0.55/0.78	thf(setminusI, axiom, (setminusI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusI)).
0.55/0.78	thf(setminusEL, axiom, (setminusEL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (setminus @ X4 @ X5)=>in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusEL)).
0.55/0.78	thf(setminusER, axiom, (setminusER<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (setminus @ X4 @ X5)=>~(in @ X2 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusER)).
0.55/0.78	thf(setminusSubset2, axiom, (setminusSubset2<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(setminus @ X4 @ X5)=(emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusSubset2)).
0.55/0.78	thf(setminusERneg, axiom, (setminusERneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4=>in @ X2 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusERneg)).
0.55/0.78	thf(setminusELneg, axiom, (setminusELneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ (setminus @ X4 @ X5))=>(~(in @ X2 @ X5)=>~(in @ X2 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusELneg)).
0.55/0.78	thf(setminusILneg, axiom, (setminusILneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>~(in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusILneg)).
0.55/0.78	thf(setminusIRneg, axiom, (setminusIRneg<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X5=>~(in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusIRneg)).
0.55/0.78	thf(setminusLsub, axiom, (setminusLsub<=>![X4:$i, X5:$i]:subset @ (setminus @ X4 @ X5) @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusLsub)).
0.55/0.78	thf(setminusSubset1, axiom, (setminusSubset1<=>![X4:$i, X5:$i]:((setminus @ X4 @ X5)=(emptyset)=>subset @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusSubset1)).
0.55/0.78	thf(symdiffE, axiom, (symdiffE<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (symdiff @ X4 @ X5)=>![X20:$o]:((in @ X2 @ X4=>(~(in @ X2 @ X5)=>X20))=>((~(in @ X2 @ X4)=>(in @ X2 @ X5=>X20))=>X20)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffE)).
0.55/0.78	thf(symdiffI1, axiom, (symdiffI1<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>in @ X2 @ (symdiff @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffI1)).
0.55/0.78	thf(symdiffI2, axiom, (symdiffI2<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>(in @ X2 @ X5=>in @ X2 @ (symdiff @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffI2)).
0.55/0.78	thf(symdiffIneg1, axiom, (symdiffIneg1<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X5=>~(in @ X2 @ (symdiff @ X4 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffIneg1)).
0.55/0.78	thf(symdiffIneg2, axiom, (symdiffIneg2<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>(~(in @ X2 @ X5)=>~(in @ X2 @ (symdiff @ X4 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffIneg2)).
0.55/0.78	thf(secondinupair, axiom, (secondinupair<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', secondinupair)).
0.55/0.78	thf(setukpairIL, axiom, (setukpairIL<=>![X2:$i, X3:$i]:in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairIL)).
0.55/0.78	thf(setukpairIR, axiom, (setukpairIR<=>![X2:$i, X3:$i]:in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairIR)).
0.55/0.78	thf(kpairiskpair, axiom, (kpairiskpair<=>![X2:$i, X3:$i]:iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kpairiskpair)).
0.55/0.78	thf(kpairp, axiom, (kpairp<=>![X2:$i, X3:$i]:iskpair @ (kpair @ X2 @ X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kpairp)).
0.55/0.78	thf(singletonsubset, axiom, (singletonsubset<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>subset @ (setadjoin @ X2 @ emptyset) @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletonsubset)).
0.55/0.78	thf(singletoninpowerset, axiom, (singletoninpowerset<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletoninpowerset)).
0.55/0.78	thf(singletoninpowunion, axiom, (singletoninpowunion<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletoninpowunion)).
0.55/0.78	thf(upairset2E, axiom, (upairset2E<=>![X2:$i, X3:$i, X14:$i]:(in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>((X14)=(X2)|(X14)=(X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairset2E)).
0.55/0.78	thf(upairsubunion, axiom, (upairsubunion<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsubunion)).
0.55/0.78	thf(upairinpowunion, axiom, (upairinpowunion<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairinpowunion)).
0.55/0.78	thf(ubforcartprodlem1, axiom, (ubforcartprodlem1<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ubforcartprodlem1)).
0.55/0.78	thf(ubforcartprodlem2, axiom, (ubforcartprodlem2<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ubforcartprodlem2)).
0.55/0.78	thf(ubforcartprodlem3, axiom, (ubforcartprodlem3<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ubforcartprodlem3)).
0.55/0.78	thf(cartprodpairin, axiom, (cartprodpairin<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodpairin)).
0.55/0.78	thf(cartprodmempair1, axiom, (cartprodmempair1<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>?[X2:$i]:(in @ X2 @ X4&?[X3:$i]:(in @ X3 @ X5&(X18)=(kpair @ X2 @ X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodmempair1)).
0.55/0.78	thf(cartprodmempair, axiom, (cartprodmempair<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>iskpair @ X18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodmempair)).
0.55/0.78	thf(setunionE2, axiom, (setunionE2<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)=>?[X21:$i]:(in @ X21 @ X4&in @ X2 @ X21))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionE2)).
0.55/0.78	thf(setunionsingleton1, axiom, (setunionsingleton1<=>![X4:$i]:subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionsingleton1)).
0.55/0.78	thf(setunionsingleton2, axiom, (setunionsingleton2<=>![X4:$i]:subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionsingleton2)).
0.55/0.78	thf(setunionsingleton, axiom, (setunionsingleton<=>![X2:$i]:(setunion @ (setadjoin @ X2 @ emptyset))=(X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionsingleton)).
0.55/0.78	thf(singletonprop, axiom, (singletonprop<=>![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))))=>(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>singleton @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletonprop)).
0.55/0.78	thf(singletonsuniq, axiom, (singletonsuniq<=>![X2:$i, X3:$i]:((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletonsuniq)).
0.55/0.78	thf(setukpairinjL1, axiom, (setukpairinjL1<=>![X2:$i, X3:$i, X14:$i]:(in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=>(X2)=(X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjL1)).
0.55/0.78	thf(kfstsingleton, axiom, (kfstsingleton<=>![X18:$i]:(iskpair @ X18=>singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:in @ (setadjoin @ X2 @ emptyset) @ X18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kfstsingleton)).
0.55/0.78	thf(theprop, axiom, (theprop<=>![X21:$i]:(singleton @ X21=>in @ (setunion @ X21) @ X21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', theprop)).
0.55/0.78	thf(kfstpairEq, axiom, (kfstpairEq<=>![X2:$i, X3:$i]:(kfst @ (kpair @ X2 @ X3))=(X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kfstpairEq)).
0.55/0.78	thf(cartprodfstin, axiom, (cartprodfstin<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>in @ (kfst @ X18) @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodfstin)).
0.55/0.78	thf(setukpairinjL2, axiom, (setukpairinjL2<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset))=>(X2)=(X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjL2)).
0.55/0.78	thf(setukpairinjL, axiom, (setukpairinjL<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((kpair @ X2 @ X3)=(kpair @ X14 @ X18)=>(X2)=(X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjL)).
0.55/0.78	thf(setukpairinjR11, axiom, (setukpairinjR11<=>![X2:$i, X3:$i]:((X2)=(X3)=>(setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjR11)).
0.55/0.78	thf(setukpairinjR12, axiom, (setukpairinjR12<=>![X2:$i, X3:$i]:((X2)=(X3)=>(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjR12)).
0.55/0.78	thf(setukpairinjR1, axiom, (setukpairinjR1<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset))=>((X14)=(X18)=>(X3)=(X18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjR1)).
0.55/0.78	thf(upairequniteq, axiom, (upairequniteq<=>![X2:$i, X3:$i, X14:$i]:((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairequniteq)).
0.55/0.78	thf(setukpairinjR2, axiom, (setukpairinjR2<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset))=>(X3)=(X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjR2)).
0.55/0.78	thf(setukpairinjR, axiom, (setukpairinjR<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((kpair @ X2 @ X3)=(kpair @ X14 @ X18)=>(X3)=(X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjR)).
0.55/0.78	thf(ksndsingleton, axiom, (ksndsingleton<=>![X18:$i]:(iskpair @ X18=>singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(X18)=(kpair @ (kfst @ X18) @ X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ksndsingleton)).
0.55/0.78	thf(ksndpairEq, axiom, (ksndpairEq<=>![X2:$i, X3:$i]:(ksnd @ (kpair @ X2 @ X3))=(X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ksndpairEq)).
0.55/0.78	thf(kpairsurjEq, axiom, (kpairsurjEq<=>![X18:$i]:(iskpair @ X18=>(kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kpairsurjEq)).
0.55/0.78	thf(cartprodsndin, axiom, (cartprodsndin<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>in @ (ksnd @ X18) @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodsndin)).
0.55/0.78	thf(cartprodpairmemEL, axiom, (cartprodpairmemEL<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5)=>in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodpairmemEL)).
0.55/0.78	thf(cartprodpairmemER, axiom, (cartprodpairmemER<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5)=>in @ X3 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodpairmemER)).
0.55/0.78	thf(cartprodmempaircEq, axiom, (cartprodmempaircEq<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(kpair @ X2 @ X3)=(kpair @ X2 @ X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodmempaircEq)).
0.55/0.78	thf(cartprodfstpairEq, axiom, (cartprodfstpairEq<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodfstpairEq)).
0.55/0.78	thf(cartprodsndpairEq, axiom, (cartprodsndpairEq<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodsndpairEq)).
0.55/0.78	thf(cartprodpairsurjEq, axiom, (cartprodpairsurjEq<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>(kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodpairsurjEq)).
0.55/0.78	thf(dpsetconstrI, axiom, (dpsetconstrI<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(X22 @ X2 @ X3=>in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X22 @ X14 @ X18)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrI)).
0.55/0.78	thf(dpsetconstrSub, axiom, (dpsetconstrSub<=>![X4:$i, X5:$i, X23:$i > $i > $o]:subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:X23 @ X2 @ X3)) @ (cartprod @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrSub)).
0.55/0.78	thf(dpsetconstrERa, axiom, (dpsetconstrERa<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X25 @ X14 @ X18))=>X25 @ X2 @ X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrERa)).
0.55/0.78	thf(dpsetconstrEL1, axiom, (dpsetconstrEL1<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X26 @ X14 @ X18))=>in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrEL1)).
0.55/0.78	thf(dpsetconstrEL2, axiom, (dpsetconstrEL2<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X27 @ X14 @ X18))=>in @ X3 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrEL2)).
0.55/0.78	thf(dpsetconstrER, axiom, (dpsetconstrER<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X28 @ X14 @ X18))=>X28 @ X2 @ X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrER)).
0.55/0.78	thf(funcImageSingleton, axiom, (funcImageSingleton<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>singleton @ (dsetconstr @ X5 @ (^[X3:$i]:in @ (kpair @ X2 @ X3) @ X29))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcImageSingleton)).
0.55/0.78	thf(apProp, axiom, (apProp<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:in @ (kpair @ X2 @ X3) @ X29))) @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', apProp)).
0.55/0.78	thf(app, axiom, (app<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', app)).
0.55/0.78	thf(infuncsetfunc, axiom, (infuncsetfunc<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>func @ X4 @ X5 @ X29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', infuncsetfunc)).
0.55/0.78	thf(ap2p, axiom, (ap2p<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X2:$i]:(in @ X2 @ X4=>in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ap2p)).
0.55/0.78	thf(funcinfuncset, axiom, (funcinfuncset<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>in @ X29 @ (funcSet @ X4 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcinfuncset)).
0.55/0.78	thf(lamProp, axiom, (lamProp<=>![X4:$i, X5:$i, X30:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X30 @ X2) @ X5)=>func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(X30 @ X2)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lamProp)).
0.55/0.78	thf(lamp, axiom, (lamp<=>![X4:$i, X5:$i, X31:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X31 @ X2) @ X5)=>func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:X31 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lamp)).
0.55/0.78	thf(lam2p, axiom, (lam2p<=>![X4:$i, X5:$i, X32:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X32 @ X2) @ X5)=>in @ (lam @ X4 @ X5 @ (^[X2:$i]:X32 @ X2)) @ (funcSet @ X4 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lam2p)).
0.55/0.78	thf(funcGraphProp1, axiom, (funcGraphProp1<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcGraphProp1)).
0.55/0.78	thf(funcGraphProp3, axiom, (funcGraphProp3<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X2:$i]:(in @ X2 @ X4=>in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcGraphProp3)).
0.55/0.78	thf(funcGraphProp2, axiom, (funcGraphProp2<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X29=>(ap @ X4 @ X5 @ X29 @ X2)=(X3)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcGraphProp2)).
0.55/0.78	thf(funcextLem, axiom, (funcextLem<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X34:$i]:(func @ X4 @ X5 @ X34=>(![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X34=>in @ (kpair @ X2 @ X3) @ X29))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcextLem)).
0.55/0.78	thf(funcGraphProp4, axiom, (funcGraphProp4<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X29=>(ap @ X4 @ X5 @ X29 @ X2)=(X3)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcGraphProp4)).
0.55/0.78	thf(funcext, axiom, (funcext<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X34:$i]:(func @ X4 @ X5 @ X34=>(![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))=>(X29)=(X34))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcext)).
0.55/0.78	thf(funcext2, axiom, (funcext2<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X34:$i]:(in @ X34 @ (funcSet @ X4 @ X5)=>(![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))=>(X29)=(X34))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcext2)).
0.55/0.78	thf(ap2apEq1, axiom, (ap2apEq1<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ap2apEq1)).
0.55/0.78	thf(ap2apEq2, axiom, (ap2apEq2<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ap2apEq2)).
0.55/0.78	thf(beta1, axiom, (beta1<=>![X4:$i, X5:$i, X36:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X36 @ X2) @ X5)=>![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:X36 @ X3)) @ X2)=(X36 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', beta1)).
0.55/0.78	thf(eta1, axiom, (eta1<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>(lam @ X4 @ X5 @ (^[X2:$i]:ap @ X4 @ X5 @ X29 @ X2))=(X29))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eta1)).
0.55/0.78	thf(lam2lamEq, axiom, (lam2lamEq<=>![X4:$i, X5:$i, X37:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X37 @ X2) @ X5)=>(lam @ X4 @ X5 @ (^[X2:$i]:X37 @ X2))=(lam @ X4 @ X5 @ (^[X2:$i]:X37 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lam2lamEq)).
0.55/0.78	thf(beta2, axiom, (beta2<=>![X4:$i, X5:$i, X38:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X38 @ X2) @ X5)=>![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:X38 @ X3)) @ X2)=(X38 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', beta2)).
0.55/0.78	thf(eta2, axiom, (eta2<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>(lam @ X4 @ X5 @ (^[X2:$i]:ap @ X4 @ X5 @ X29 @ X2))=(X29))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eta2)).
0.55/0.78	thf(iffalseProp1, axiom, (iffalseProp1<=>![X4:$i, X39:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(~(X39)=>in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((X39&(X14)=(X2))|(~(X39)&(X14)=(X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iffalseProp1)).
0.55/0.78	thf(iffalseProp2, axiom, (iffalseProp2<=>![X4:$i, X40:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(~(X40)=>(dsetconstr @ X4 @ (^[X14:$i]:((X40&(X14)=(X2))|(~(X40)&(X14)=(X3)))))=(setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iffalseProp2)).
0.55/0.78	thf(iftrueProp1, axiom, (iftrueProp1<=>![X4:$i, X41:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X41=>in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((X41&(X14)=(X2))|(~(X41)&(X14)=(X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iftrueProp1)).
0.55/0.78	thf(iftrueProp2, axiom, (iftrueProp2<=>![X4:$i, X42:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X42=>(dsetconstr @ X4 @ (^[X14:$i]:((X42&(X14)=(X2))|(~(X42)&(X14)=(X3)))))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iftrueProp2)).
0.55/0.78	thf(ifSingleton, axiom, (ifSingleton<=>![X4:$i, X43:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((X43&(X14)=(X2))|(~(X43)&(X14)=(X3)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ifSingleton)).
0.55/0.78	thf(ifp, axiom, (ifp<=>![X4:$i, X44:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>in @ (if @ X4 @ (X44) @ X2 @ X3) @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ifp)).
0.55/0.78	thf(theeq, axiom, (theeq<=>![X21:$i]:(singleton @ X21=>![X2:$i]:(in @ X2 @ X21=>(setunion @ X21)=(X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', theeq)).
0.55/0.78	thf(iftrue, axiom, (iftrue<=>![X4:$i, X45:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X45=>(if @ X4 @ (X45) @ X2 @ X3)=(X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iftrue)).
0.55/0.78	thf(iffalse, axiom, (iffalse<=>![X4:$i, X46:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(~(X46)=>(if @ X4 @ (X46) @ X2 @ X3)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iffalse)).
0.55/0.78	thf(iftrueorfalse, axiom, (iftrueorfalse<=>![X4:$i, X47:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>in @ (if @ X4 @ (X47) @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iftrueorfalse)).
0.55/0.78	thf(binintersectT_lem, axiom, (binintersectT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (binintersect @ X21 @ X48) @ (powerset @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectT_lem)).
0.55/0.78	thf(binunionT_lem, axiom, (binunionT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (binunion @ X21 @ X48) @ (powerset @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionT_lem)).
0.55/0.78	thf(powersetT_lem, axiom, (powersetT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>in @ (powerset @ X21) @ (powerset @ (powerset @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetT_lem)).
0.55/0.78	thf(setminusT_lem, axiom, (setminusT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (setminus @ X21 @ X48) @ (powerset @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusT_lem)).
0.55/0.78	thf(complementT_lem, axiom, (complementT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>in @ (setminus @ X4 @ X21) @ (powerset @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementT_lem)).
0.55/0.78	thf(setextT, axiom, (setextT<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>in @ X2 @ X48))=>(![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X48=>in @ X2 @ X21))=>(X21)=(X48)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setextT)).
0.55/0.78	thf(subsetTI, axiom, (subsetTI<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>in @ X2 @ X48))=>subset @ X21 @ X48)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetTI)).
0.55/0.78	thf(powersetTI1, axiom, (powersetTI1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>in @ X2 @ X48))=>in @ X21 @ (powerset @ X48))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetTI1)).
0.55/0.78	thf(powersetTE1, axiom, (powersetTE1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X21 @ (powerset @ X48)=>(in @ X2 @ X21=>in @ X2 @ X48)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetTE1)).
0.55/0.78	thf(complementTI1, axiom, (complementTI1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>~(in @ X2 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementTI1)).
0.55/0.78	thf(complementTE1, axiom, (complementTE1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ (setminus @ X4 @ X21))=>in @ X2 @ X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementTE1)).
0.55/0.78	thf(binintersectTELcontra, axiom, (binintersectTELcontra<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X21)=>~(in @ X2 @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectTELcontra)).
0.55/0.78	thf(binintersectTERcontra, axiom, (binintersectTERcontra<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X48)=>~(in @ X2 @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectTERcontra)).
0.55/0.78	thf(contrasubsetT, axiom, (contrasubsetT<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(subset @ X21 @ (setminus @ X4 @ X48)=>(in @ X2 @ X48=>~(in @ X2 @ X21))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', contrasubsetT)).
0.55/0.78	thf(contrasubsetT1, axiom, (contrasubsetT1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(subset @ X21 @ X48=>(~(in @ X2 @ X48)=>~(in @ X2 @ X21))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', contrasubsetT1)).
0.55/0.78	thf(contrasubsetT2, axiom, (contrasubsetT2<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(subset @ X21 @ X48=>subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', contrasubsetT2)).
0.55/0.78	thf(contrasubsetT3, axiom, (contrasubsetT3<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21)=>subset @ X21 @ X48)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', contrasubsetT3)).
0.55/0.78	thf(doubleComplementI1, axiom, (doubleComplementI1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', doubleComplementI1)).
0.55/0.78	thf(doubleComplementE1, axiom, (doubleComplementE1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21))=>in @ X2 @ X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', doubleComplementE1)).
0.55/0.78	thf(doubleComplementSub1, axiom, (doubleComplementSub1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>subset @ X21 @ (setminus @ X4 @ (setminus @ X4 @ X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', doubleComplementSub1)).
0.55/0.78	thf(doubleComplementSub2, axiom, (doubleComplementSub2<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>subset @ (setminus @ X4 @ (setminus @ X4 @ X21)) @ X21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', doubleComplementSub2)).
0.55/0.78	thf(doubleComplementEq, axiom, (doubleComplementEq<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>(X21)=(setminus @ X4 @ (setminus @ X4 @ X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', doubleComplementEq)).
0.55/0.78	thf(complementTnotintersectT, axiom, (complementTnotintersectT<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ X21)=>~(in @ X2 @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementTnotintersectT)).
0.55/0.78	thf(complementImpComplementIntersect, axiom, (complementImpComplementIntersect<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ X21)=>in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementImpComplementIntersect)).
0.55/0.78	thf(complementSubsetComplementIntersect, axiom, (complementSubsetComplementIntersect<=>![X4:$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/sandbox/benchmark/theBenchmark.p', complementSubsetComplementIntersect)).
0.55/0.78	thf(complementInPowersetComplementIntersect, axiom, (complementInPowersetComplementIntersect<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementInPowersetComplementIntersect)).
0.55/0.78	thf(contraSubsetComplement, axiom, (contraSubsetComplement<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(subset @ X21 @ (setminus @ X4 @ X48)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X48=>in @ X2 @ (setminus @ X4 @ X21))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', contraSubsetComplement)).
0.55/0.78	thf(complementTcontraSubset, axiom, (complementTcontraSubset<=>![X4:$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/sandbox/benchmark/theBenchmark.p', complementTcontraSubset)).
0.55/0.78	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/sandbox/benchmark/theBenchmark.p', binunionTILcontra)).
0.55/0.78	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/sandbox/benchmark/theBenchmark.p', binunionTIRcontra)).
0.55/0.78	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:$i]:(in @ X2 @ X4=>(in @ X2 @ (binintersect @ X21 @ X48)=>in @ X2 @ (binunion @ X21 @ X49))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', inIntersectImpInUnion)).
0.55/0.78	thf(inIntersectImpInUnion2, axiom, (inIntersectImpInUnion2<=>![X4:$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/sandbox/benchmark/theBenchmark.p', inIntersectImpInUnion2)).
0.55/0.78	thf(c_0_263, axiom, (replAx)=(![X6:$i > $i > $o, X4:$i]:(![X2:$i]:(in @ X2 @ X4=>?[X860:$i]:(X6 @ X2 @ X860&![X862:$i]:(X6 @ X2 @ X862=>(X860)=(X862))))=>?[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))), inference(apply_def,[status(thm)],[replAx, exu])).
0.55/0.78	thf(c_0_264, axiom, (descrp)=(![X1:$i > $o]:(?[X863:$i]:(X1 @ X863&![X864:$i]:(X1 @ X864=>(X863)=(X864)))=>X1 @ (descr @ (^[X2:$i]:X1 @ X2)))), inference(apply_def,[status(thm)],[descrp, exu])).
0.55/0.78	thf(c_0_265, axiom, (exuE1)=(![X1:$i > $o]:(?[X865:$i]:(X1 @ X865&![X866:$i]:(X1 @ X866=>(X865)=(X866)))=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuE1, exu])).
0.55/0.78	thf(c_0_266, axiom, (exuE3e)=(![X1:$i > $o]:(?[X867:$i]:(X1 @ X867&![X868:$i]:(X1 @ X868=>(X867)=(X868)))=>?[X2:$i]:X1 @ X2)), inference(apply_def,[status(thm)],[exuE3e, exu])).
0.55/0.78	thf(c_0_267, axiom, (nonemptyE1)=(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:in @ X2 @ X4)), inference(apply_def,[status(thm)],[nonemptyE1, nonempty])).
0.55/0.78	thf(c_0_268, axiom, (nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))!=(emptyset)))), inference(apply_def,[status(thm)],[nonemptyI, nonempty])).
0.55/0.78	thf(c_0_269, axiom, (nonemptyI1)=(![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>(X4)!=(emptyset))), inference(apply_def,[status(thm)],[nonemptyI1, nonempty])).
0.55/0.78	thf(c_0_270, axiom, (exuE2)=(![X1:$i > $o]:(?[X869:$i]:(X1 @ X869&![X870:$i]:(X1 @ X870=>(X869)=(X870)))=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))), inference(apply_def,[status(thm)],[exuE2, exu])).
0.55/0.78	thf(c_0_271, axiom, (nonemptyImpWitness)=(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:(in @ X2 @ X4&$true))), inference(apply_def,[status(thm)],[nonemptyImpWitness, nonempty])).
0.55/0.78	thf(c_0_272, axiom, (exuI1)=(![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>?[X871:$i]:(X1 @ X871&![X872:$i]:(X1 @ X872=>(X871)=(X872))))), inference(apply_def,[status(thm)],[exuI1, exu])).
0.55/0.78	thf(c_0_273, axiom, (exuI3)=(![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>?[X873:$i]:(X1 @ X873&![X874:$i]:(X1 @ X874=>(X873)=(X874)))))), inference(apply_def,[status(thm)],[exuI3, exu])).
0.55/0.78	thf(c_0_274, axiom, (exuI2)=(![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>?[X875:$i]:(X1 @ X875&![X876:$i]:(X1 @ X876=>(X875)=(X876))))), inference(apply_def,[status(thm)],[exuI2, exu])).
0.55/0.78	thf(c_0_275, axiom, (exuE3u)=(![X1:$i > $o]:(?[X877:$i]:(X1 @ X877&![X878:$i]:(X1 @ X878=>(X877)=(X878)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuE3u, exu])).
0.55/0.78	thf(c_0_276, axiom, (exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X879:$i]:(X1 @ X879&![X880:$i]:(X1 @ X880=>(X879)=(X880)))<=>?[X881:$i]:(X17 @ X881&![X882:$i]:(X17 @ X882=>(X881)=(X882)))))), inference(apply_def,[status(thm)],[exu__Cong, exu])).
0.55/0.78	thf(c_0_277, axiom, (exuEu)=(![X1:$i > $o]:(?[X883:$i]:(X1 @ X883&![X884:$i]:(X1 @ X884=>(X883)=(X884)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuEu, exu])).
0.55/0.78	thf(c_0_278, axiom, (descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X885:$i]:(X1 @ X885&![X886:$i]:(X1 @ X886=>(X885)=(X886)))=>(?[X887:$i]:(X17 @ X887&![X888:$i]:(X17 @ X888=>(X887)=(X888)))=>(descr @ (^[X2:$i]:X1 @ X2))=(descr @ (^[X2:$i]:X17 @ X2)))))), inference(apply_def,[status(thm)],[descr__Cong, exu])).
0.55/0.78	thf(c_0_279, axiom, (ex1E1)=(![X4:$i, X1:$i > $o]:(singleton @ (dsetconstr @ X4 @ (^[X889:$i]:X1 @ X889))=>?[X2:$i]:(in @ X2 @ X4&X1 @ X2))), inference(apply_def,[status(thm)],[ex1E1, ex1])).
0.55/0.78	thf(c_0_280, axiom, (ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(![X3:$i]:(in @ X3 @ X4=>(X1 @ X3=>(X3)=(X2)))=>singleton @ (dsetconstr @ X4 @ (^[X890:$i]:X1 @ X890)))))), inference(apply_def,[status(thm)],[ex1I, ex1])).
0.55/0.78	thf(c_0_281, 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 @ (^[X892:$i]:X1 @ X892))))), inference(apply_def,[status(thm)],[ex1I2, ex1])).
0.55/0.78	thf(c_0_282, axiom, (setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:X24 @ X2 @ X3)) @ (cartprod @ X4 @ X5)), inference(apply_def,[status(thm)],[setOfPairsIsBReln, breln])).
0.55/0.78	thf(c_0_283, axiom, (brelnall1)=(![X4:$i, X5:$i, X33:$i]:(subset @ X33 @ (cartprod @ X4 @ X5)=>![X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>X1 @ (kpair @ X2 @ X3))))=>![X2:$i]:(in @ X2 @ X33=>X1 @ X2)))), inference(apply_def,[status(thm)],[brelnall1, breln])).
0.55/0.78	thf(c_0_284, axiom, (brelnall2)=(![X4:$i, X5:$i, X33:$i]:(subset @ X33 @ (cartprod @ X4 @ X5)=>![X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>X1 @ (kpair @ X2 @ X3))))=>![X2:$i]:(in @ X2 @ X33=>X1 @ X2)))), inference(apply_def,[status(thm)],[brelnall2, breln])).
0.55/0.78	thf(c_0_285, axiom, (ex1E2)=(![X4:$i, X1:$i > $o]:(singleton @ (dsetconstr @ X4 @ (^[X893:$i]:X1 @ X893))=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))))), inference(apply_def,[status(thm)],[ex1E2, ex1])).
0.55/0.78	thf(c_0_286, axiom, (subbreln)=(![X4:$i, X5:$i, X33:$i]:(subset @ X33 @ (cartprod @ X4 @ X5)=>![X35:$i]:(subset @ X35 @ (cartprod @ X4 @ X5)=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>in @ (kpair @ X2 @ X3) @ X35)))=>subset @ X33 @ X35)))), inference(apply_def,[status(thm)],[subbreln, breln])).
0.55/0.78	thf(c_0_287, axiom, (eqbreln)=(![X4:$i, X5:$i, X33:$i]:(subset @ X33 @ (cartprod @ X4 @ X5)=>![X35:$i]:(subset @ X35 @ (cartprod @ X4 @ X5)=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>in @ (kpair @ X2 @ X3) @ X35)))=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X35=>in @ (kpair @ X2 @ X3) @ X33)))=>(X33)=(X35)))))), inference(apply_def,[status(thm)],[eqbreln, breln])).
0.55/0.78	thf(c_0_288, plain, ![X3:$i, X1:$i > $o]:(epred1_2 @ X1 @ X3<=>X1 @ X3), introduced(definition)).
0.55/0.78	thf(c_0_289, plain, ![X18:$i, X14:$i, X27:$i > $i > $o]:(epred5_3 @ X27 @ X14 @ X18<=>X27 @ X14 @ X18), introduced(definition)).
0.55/0.78	thf(c_0_290, plain, ![X3:$i, X29:$i, X2:$i]:(epred6_3 @ X2 @ X29 @ X3<=>in @ (kpair @ X2 @ X3) @ X29), introduced(definition)).
0.55/0.78	thf(c_0_291, plain, ![X3:$i, X2:$i, X30:$i > $i]:(epred8_3 @ X30 @ X2 @ X3<=>(X30 @ X2)=(X3)), introduced(definition)).
0.55/0.78	thf(c_0_292, plain, ![X2:$i, X31:$i > $i]:(esk1_2 @ X31 @ X2)=(X31 @ X2), introduced(definition)).
0.55/0.78	thf(c_0_293, plain, ![X14:$i, X2:$i, X39:$o, X3:$i]:(epred7_4 @ X3 @ X39 @ X2 @ X14<=>((X39&(X14)=(X2))|(~X39&(X14)=(X3)))), inference(fof_simplification,[status(thm)],[introduced(definition)])).
0.55/0.78	thf(c_0_294, plain, ![X2:$i, X18:$i]:(epred4_2 @ X18 @ X2<=>(X18)=(kpair @ (kfst @ X18) @ X2)), introduced(definition)).
0.55/0.78	thf(c_0_295, plain, ![X2:$i, X18:$i]:(epred3_2 @ X18 @ X2<=>in @ (setadjoin @ X2 @ emptyset) @ X18), introduced(definition)).
0.55/0.78	thf(c_0_296, plain, ![X2:$i]:epred2_1 @ X2, inference(fof_simplification,[status(thm)],[introduced(definition)])).
0.55/0.78	thf(c_0_297, plain, (epred9_0<=>![X4:$i]:?[X5:$i]:(((![X7:$i]:(in @ X7 @ X5=>![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X4))&![X2:$i, X3:$i]:((in @ X2 @ X4&in @ X3 @ X4)=>(![X7:$i]:(in @ X7 @ X5=>(in @ X2 @ X7<=>in @ X3 @ X7))=>(X2)=(X3))))&![X7:$i, X8:$i]:((in @ X7 @ X5&in @ X8 @ X5)=>(![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X8)|![X2:$i]:(in @ X2 @ X8=>in @ X2 @ X7))))&![X7:$i]:((![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X4)&?[X2:$i]:in @ X2 @ X7)=>?[X8:$i, X2:$i]:(((in @ X8 @ X5&in @ X2 @ X7)&~(?[X3:$i]:(in @ X3 @ X8&in @ X3 @ X7)))&![X9:$i]:(in @ X9 @ X5=>(![X3:$i]:(in @ X3 @ X9=>in @ X3 @ X8)|in @ X2 @ X9)))))), introduced(definition)).
0.55/0.78	thf(c_0_298, negated_conjecture, ~((![X4:$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:$i]:(in @ X2 @ X4=>?[X860:$i]:(X6 @ X2 @ X860&![X862:$i]:(X6 @ X2 @ X862=>(X860)=(X862))))=>?[X5:$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 > $o]:(?[X863:$i]:(X1 @ X863&![X864:$i]:(X1 @ X864=>(X863)=(X864)))=>X1 @ (descr @ (epred1_2 @ X1)))=>(![X4:$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 > $o]:(?[X865:$i]:(X1 @ X865&![X866:$i]:(X1 @ X866=>(X865)=(X866)))=>?[X2:$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 > $o]:(?[X867:$i]:(X1 @ X867&![X868:$i]:(X1 @ X868=>(X867)=(X868)))=>?[X2:$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:$i]:(dsetconstr @ X4 @ epred2_1)=(X4)=>(![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>in @ X5 @ (powerset @ X4))=>(![X4:$i]:in @ emptyset @ (powerset @ X4)=>(![X4:$i]:in @ emptyset @ (powerset @ X4)=>(![X4:$i, X5:$i, X2:$i]:(in @ X5 @ (powerset @ X4)=>(in @ X2 @ X5=>in @ X2 @ X4))=>(![X4:$i, X2:$i, X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>in @ X2 @ (setunion @ X4)))=>(![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)=>![X13:$o]:(![X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>X13))=>X13))=>(![X4:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (powerset @ (setunion @ X4)))=>(![X1:$i > $o]:(?[X869:$i]:(X1 @ X869&![X870:$i]:(X1 @ X870=>(X869)=(X870)))=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))=>(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:in @ X2 @ X4)=>(![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>(X2)=(X3))=>(![X2:$i, X3:$i]:((X2)!=(X3)=>~in @ X3 @ (setadjoin @ X2 @ emptyset))=>(![X2:$i, X3:$i]:((X2)=(X3)=>in @ X2 @ (setadjoin @ X3 @ emptyset))=>(![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>in @ X3 @ (setadjoin @ X2 @ emptyset))=>(![X2:$i, X3:$i, X14:$i]:(in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>((X14)=(X2)|(X14)=(X3)))=>(![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>(![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ 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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(assume_negation,[status(cth)],[inIntersectImpInIntersectUnions]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_263]), foundationAx]), wellorderingAx]), c_0_264]), dsetconstrI]), dsetconstrEL]), dsetconstrER]), c_0_265]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_266]), setext]), emptyI]), noeltsimpempty]), setbeta]), c_0_267]), c_0_268]), c_0_269]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), setoftrueEq]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_270]), c_0_271]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), emptyE1]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_272]), c_0_273]), c_0_274]), inCongP]), in__Cong]), c_0_275]), c_0_276]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_277]), c_0_278]), 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_279]), c_0_280]), c_0_281]), 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_282]), dpsetconstrERa]), dpsetconstrEL1]), dpsetconstrEL2]), dpsetconstrER]), funcImageSingleton]), apProp]), app]), infuncsetfunc]), ap2p]), funcinfuncset]), lamProp]), lamp]), lam2p]), c_0_283]), c_0_284]), c_0_285]), funcGraphProp1]), funcGraphProp3]), funcGraphProp2]), funcextLem]), funcGraphProp4]), c_0_286]), c_0_287]), 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]), c_0_288]), c_0_288]), c_0_288]), c_0_288]), c_0_288]), c_0_288]), c_0_288]), c_0_288]), c_0_289]), c_0_289]), c_0_289]), c_0_289]), c_0_289]), c_0_290]), c_0_291]), c_0_292]), c_0_288]), c_0_292]), c_0_293]), c_0_293]), c_0_293]), c_0_293]), c_0_293]), c_0_292]), c_0_292]), c_0_292]), c_0_292]), c_0_292]), c_0_292]), c_0_290]), c_0_289]), c_0_289]), c_0_294]), c_0_295]), c_0_288]), c_0_288]), c_0_288]), c_0_288]), c_0_288]), c_0_288]), c_0_296]), c_0_288]), c_0_288]), c_0_288])])]), c_0_297])).
0.55/0.78	thf(c_0_299, negated_conjecture, ![X894:$i, X895:$i, X897:$i, X898:$i, X899:$i, X900:$i, X901:$i, X902:$i, X903:$i, X904:$i, X905:$i, X907:$i, X908:$i, X910:$i, X911:$i, X912:$i, X913:$i, X914:$i, X916:$i, X917:$i > $i > $o, X918:$i, X920:$i, X923:$i, X925:$i, X926:$i, X927:$i, X928:$i, X930:$i, X931:$i > $o, X932:$i, X934:$i, X935:$i > $o, X936:$i, X937:$i, X938:$i > $o, X939:$i, X940:$i, X941:$i > $o, X942:$i, X943:$i > $o, X944:$i, X947:$i, X948:$o, X949:$i, X950:$i, X951:$o, X952:$i, X953:$i, X954:$i > $o, X955:$i, X958:$i, X959:$i, X962:$i, X964:$i, X966:$i, X967:$i > $o, X968:$i, X969:$i, X971:$i, X972:$i > $o, X973:$i, X974:$i, X975:$i, X976:$i, X977:$i, X978:$i, X979:$i, X980:$i, X981:$i, X982:$i, X983:$i, X984:$o, X985:$i, X986:$i, X987:$i, X988:$i, X989:$i, X990:$i, X992:$i, X993:$i, X994:$i, X995:$i, X996:$i, X997:$i, X998:$i, X999:$i, X1000:$i, X1001:$i, X1002:$o, X1004:$i, X1005:$i, X1006:$i > $o, X1007:$i, X1010:$i, X1011:$i, X1012:$i, X1014:$i, X1015:$i, X1016:$i, X1017:$i, X1018:$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 > $o, X1031:$i, X1032:$i > $o, X1033:$i, X1034:$i, X1035:$i > $o, X1036:$i, X1038:$i, X1039:$i > $o, X1041:$i, X1042:$i, X1043:$i > $o, X1045:$i, X1046:$i, X1047:$i > $o, X1048:$i, X1050:$o, X1051:$o, X1052:$i, X1053:$i > $o, X1055:$i, X1056:$i, X1057:$i > $o, X1058:$i, X1060:$i > $o, X1061:$i, X1064:$i, X1065:$i > $o, X1066:$i, X1070:$i, X1071:$i > $o, X1072:$i, X1075:$i, X1076:$i, X1077:$i, X1078:$i, X1079:$i, X1080:$i, X1081:$i, X1082:$i, X1083:$i, X1084:$i > $o, X1085:$i, X1087:$i, X1088:$i, X1089:$i > $o, X1090:$i > $o, X1093:$i, X1096:$i, X1097:$i, X1100:$i, X1101:$i, X1102:$i, X1103:$i, X1104:$i, X1105:$i, X1106:$i, X1107:$i, X1108:$i, X1109:$i > $o, X1110:$i, X1112:$i, X1113:$i, X1114:$i > $o, X1115:$i > $o, X1118:$i, X1120:$i, X1122:$i, X1123:$i, X1124:$i > $o, X1125:$i > $o, X1128:$i, X1129:$i, X1131:$i, X1132:$i, X1133:$i, X1134:$i, X1135:$i, X1136:$i, X1138:$i, X1139:$i, X1140:$i, X1141:$i, X1142:$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 > $o, X1176:$i, X1177:$i > $o, X1178:$i, X1179:$i, X1180:$i, X1181:$i, X1182:$i, X1183:$i, X1184:$i, X1185:$i, X1186:$i, X1187:$i, X1188:$i, X1189:$o, X1190:$i, X1191:$i, X1192:$i, X1193:$i, X1194:$i, X1195:$i, X1196:$i, X1197:$i, X1198:$i, X1199:$i, X1200:$i, X1201:$i, X1202:$i, X1203:$i, X1204:$i, X1205:$i, X1206:$i, X1207:$i, X1208:$i, X1209:$i, X1210:$i, X1211:$i, X1212:$i, X1213:$i, X1214:$i, X1215:$i, X1216:$i, X1218:$i, X1219:$i, X1220:$i, X1221:$i, X1222:$i, X1223:$i, X1224:$i, X1225:$i, X1226:$i, X1227:$i, X1228:$i, X1229:$i, X1230:$i, X1231:$i, X1232:$i, X1233:$i, X1234:$i, X1235:$i, X1236:$i, X1237:$i, X1238:$i, X1239:$i, X1240:$i, X1241:$i, X1242:$i, X1243:$i, X1244:$i, X1245:$i, X1246:$i, X1247:$i, X1248:$i, X1249:$i, X1250:$i, X1251:$i, X1252:$i, X1253:$i, X1254:$i, X1255:$i, X1256:$i, X1257:$o, X1258:$i, X1259:$i, X1260:$i, X1261:$i, X1262:$i, X1263:$i, X1264:$i, X1265:$i, X1266:$i, X1267:$i, X1268:$i, X1269:$i, X1270:$i, X1271:$i, X1272:$i, X1273:$i, X1274:$i, X1275:$i, X1276:$i, X1277:$i, X1278:$i, X1279:$i, 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:$i, X1319:$i, X1320:$i, X1321:$i, X1322:$i, X1323:$i, X1325:$i, X1326:$i, X1327:$i, X1328:$i, X1329:$i > $o, X1332:$i, X1333:$i, X1334:$i > $o, X1336:$i, X1337:$i > $o, X1338:$i, 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X1043) @ X1042|(~in @ X1045 @ X1042|~X1043 @ X1045))&(X1043 @ (esk28_2 @ X1042 @ X1043)|(~in @ X1045 @ X1042|~X1043 @ X1045)))&(((in @ (esk29_2 @ X1046 @ X1047) @ X1046|(~in @ X1048 @ X1046|X1047 @ X1048))&(~X1047 @ (esk29_2 @ X1046 @ X1047)|(~in @ X1048 @ X1046|X1047 @ X1048)))&(((~X1050|in @ emptyset @ (prop2set @ $true)|~X1050)&(X1050|in @ emptyset @ (prop2set @ $false)|~X1050))&(((~X1051|set2prop @ (prop2set @ $true)|~X1051)&(X1051|set2prop @ (prop2set @ $false)|~X1051))&(((in @ (esk30_2 @ X1052 @ X1053) @ X1052|(~in @ X1055 @ X1052|~X1053 @ X1055))&(X1053 @ (esk30_2 @ X1052 @ X1053)|(~in @ X1055 @ X1052|~X1053 @ X1055)))&(((in @ (esk31_2 @ X1056 @ X1057) @ X1056|(~in @ X1058 @ X1056|X1057 @ X1058))&(~X1057 @ (esk31_2 @ X1056 @ X1057)|(~in @ X1058 @ X1056|X1057 @ X1058)))&((((X1060 @ (esk33_1 @ X1060)|(X1060 @ (esk32_2 @ X1060 @ X1061)|~X1060 @ X1061))&(~X1060 @ X1064|(esk33_1 @ X1060)=(X1064)|(X1060 @ (esk32_2 @ X1060 @ X1061)|~X1060 @ X1061)))&((X1060 @ (esk33_1 @ X1060)|((X1061)!=(esk32_2 @ X1060 @ X1061)|~X1060 @ X1061))&(~X1060 @ X1064|(esk33_1 @ X1060)=(X1064)|((X1061)!=(esk32_2 @ X1060 @ X1061)|~X1060 @ X1061))))&((((X1065 @ (esk36_1 @ X1065)|X1065 @ (esk34_1 @ X1065)|~X1065 @ X1066)&(~X1065 @ X1070|(esk36_1 @ X1065)=(X1070)|X1065 @ (esk34_1 @ X1065)|~X1065 @ X1066))&(((X1065 @ (esk36_1 @ X1065)|X1065 @ (esk35_1 @ X1065)|~X1065 @ X1066)&(~X1065 @ X1070|(esk36_1 @ X1065)=(X1070)|X1065 @ (esk35_1 @ X1065)|~X1065 @ X1066))&((X1065 @ (esk36_1 @ X1065)|(esk34_1 @ X1065)!=(esk35_1 @ X1065)|~X1065 @ X1066)&(~X1065 @ X1070|(esk36_1 @ X1065)=(X1070)|(esk34_1 @ X1065)!=(esk35_1 @ X1065)|~X1065 @ X1066))))&((((X1071 @ (esk38_1 @ X1071)|(~X1071 @ (esk37_2 @ X1071 @ X1072)|(esk37_2 @ X1071 @ X1072)!=(X1072)))&(~X1071 @ X1075|(esk38_1 @ X1071)=(X1075)|(~X1071 @ (esk37_2 @ X1071 @ X1072)|(esk37_2 @ X1071 @ X1072)!=(X1072))))&((X1071 @ (esk38_1 @ X1071)|(X1071 @ (esk37_2 @ X1071 @ X1072)|(esk37_2 @ X1071 @ X1072)=(X1072)))&(~X1071 @ X1075|(esk38_1 @ X1071)=(X1075)|(X1071 @ (esk37_2 @ X1071 @ X1072)|(esk37_2 @ X1071 @ X1072)=(X1072)))))&(((X1076)!=(X1077)|((X1078)!=(X1079)|(~in @ X1078 @ X1076|in @ X1079 @ X1077)))&(((~in @ X1082 @ X1080|in @ X1083 @ X1081|(X1082)!=(X1083)|(X1080)!=(X1081))&(~in @ X1083 @ X1081|in @ X1082 @ X1080|(X1082)!=(X1083)|(X1080)!=(X1081)))&(((X1084 @ (esk39_2 @ X1084 @ X1085)|~X1084 @ X1085|(~X1084 @ X1087|(~X1084 @ X1088|(X1087)=(X1088))))&((X1085)!=(esk39_2 @ X1084 @ X1085)|~X1084 @ X1085|(~X1084 @ X1087|(~X1084 @ X1088|(X1087)=(X1088)))))&((((((X1090 @ (esk43_2 @ X1089 @ X1090)|(X1089 @ (esk42_3 @ X1089 @ X1090 @ X1093)|~X1089 @ X1093)|(esk40_2 @ X1089 @ X1090)=(esk41_2 @ X1089 @ X1090))&(~X1090 @ X1096|(esk43_2 @ X1089 @ X1090)=(X1096)|(X1089 @ (esk42_3 @ X1089 @ X1090 @ X1093)|~X1089 @ X1093)|(esk40_2 @ X1089 @ X1090)=(esk41_2 @ X1089 @ X1090)))&((X1090 @ (esk43_2 @ X1089 @ X1090)|((X1093)!=(esk42_3 @ X1089 @ X1090 @ X1093)|~X1089 @ X1093)|(esk40_2 @ X1089 @ X1090)=(esk41_2 @ X1089 @ X1090))&(~X1090 @ X1096|(esk43_2 @ X1089 @ X1090)=(X1096)|((X1093)!=(esk42_3 @ X1089 @ X1090 @ X1093)|~X1089 @ X1093)|(esk40_2 @ X1089 @ X1090)=(esk41_2 @ X1089 @ X1090))))&(((X1089 @ (esk45_2 @ X1089 @ X1090)|(X1090 @ (esk44_3 @ X1089 @ X1090 @ X1097)|~X1090 @ X1097)|(esk40_2 @ X1089 @ X1090)=(esk41_2 @ X1089 @ X1090))&(~X1089 @ X1100|(esk45_2 @ X1089 @ X1090)=(X1100)|(X1090 @ (esk44_3 @ X1089 @ X1090 @ X1097)|~X1090 @ X1097)|(esk40_2 @ X1089 @ X1090)=(esk41_2 @ X1089 @ X1090)))&((X1089 @ (esk45_2 @ X1089 @ X1090)|((X1097)!=(esk44_3 @ X1089 @ X1090 @ X1097)|~X1090 @ X1097)|(esk40_2 @ X1089 @ X1090)=(esk41_2 @ X1089 @ X1090))&(~X1089 @ X1100|(esk45_2 @ X1089 @ X1090)=(X1100)|((X1097)!=(esk44_3 @ X1089 @ X1090 @ X1097)|~X1090 @ X1097)|(esk40_2 @ X1089 @ X1090)=(esk41_2 @ X1089 @ X1090)))))&(((((X1090 @ (esk43_2 @ X1089 @ X1090)|(X1089 @ (esk42_3 @ X1089 @ X1090 @ X1093)|~X1089 @ X1093)|(~X1089 @ (esk40_2 @ X1089 @ X1090)|~X1090 @ (esk41_2 @ X1089 @ X1090)))&(~X1090 @ X1096|(esk43_2 @ X1089 @ X1090)=(X1096)|(X1089 @ (esk42_3 @ X1089 @ X1090 @ X1093)|~X1089 @ X1093)|(~X1089 @ (esk40_2 @ X1089 @ X1090)|~X1090 @ (esk41_2 @ X1089 @ X1090))))&((X1090 @ (esk43_2 @ X1089 @ X1090)|((X1093)!=(esk42_3 @ X1089 @ X1090 @ X1093)|~X1089 @ X1093)|(~X1089 @ (esk40_2 @ X1089 @ X1090)|~X1090 @ (esk41_2 @ X1089 @ X1090)))&(~X1090 @ X1096|(esk43_2 @ X1089 @ X1090)=(X1096)|((X1093)!=(esk42_3 @ X1089 @ X1090 @ X1093)|~X1089 @ X1093)|(~X1089 @ (esk40_2 @ X1089 @ X1090)|~X1090 @ (esk41_2 @ X1089 @ X1090)))))&(((X1089 @ (esk45_2 @ X1089 @ X1090)|(X1090 @ (esk44_3 @ X1089 @ X1090 @ X1097)|~X1090 @ X1097)|(~X1089 @ (esk40_2 @ X1089 @ X1090)|~X1090 @ (esk41_2 @ X1089 @ X1090)))&(~X1089 @ X1100|(esk45_2 @ X1089 @ X1090)=(X1100)|(X1090 @ (esk44_3 @ X1089 @ X1090 @ X1097)|~X1090 @ X1097)|(~X1089 @ (esk40_2 @ X1089 @ X1090)|~X1090 @ (esk41_2 @ X1089 @ X1090))))&((X1089 @ (esk45_2 @ X1089 @ X1090)|((X1097)!=(esk44_3 @ X1089 @ X1090 @ X1097)|~X1090 @ X1097)|(~X1089 @ (esk40_2 @ X1089 @ X1090)|~X1090 @ (esk41_2 @ X1089 @ X1090)))&(~X1089 @ X1100|(esk45_2 @ X1089 @ X1090)=(X1100)|((X1097)!=(esk44_3 @ X1089 @ X1090 @ X1097)|~X1090 @ X1097)|(~X1089 @ (esk40_2 @ X1089 @ X1090)|~X1090 @ (esk41_2 @ X1089 @ X1090))))))&((((X1090 @ (esk43_2 @ X1089 @ X1090)|(X1089 @ (esk42_3 @ X1089 @ X1090 @ X1093)|~X1089 @ X1093)|(X1089 @ (esk40_2 @ X1089 @ X1090)|X1090 @ (esk41_2 @ X1089 @ X1090)))&(~X1090 @ X1096|(esk43_2 @ X1089 @ X1090)=(X1096)|(X1089 @ (esk42_3 @ X1089 @ X1090 @ X1093)|~X1089 @ X1093)|(X1089 @ (esk40_2 @ X1089 @ X1090)|X1090 @ (esk41_2 @ X1089 @ X1090))))&((X1090 @ (esk43_2 @ X1089 @ X1090)|((X1093)!=(esk42_3 @ X1089 @ X1090 @ X1093)|~X1089 @ X1093)|(X1089 @ (esk40_2 @ X1089 @ X1090)|X1090 @ (esk41_2 @ X1089 @ X1090)))&(~X1090 @ X1096|(esk43_2 @ X1089 @ X1090)=(X1096)|((X1093)!=(esk42_3 @ X1089 @ X1090 @ X1093)|~X1089 @ X1093)|(X1089 @ (esk40_2 @ X1089 @ X1090)|X1090 @ (esk41_2 @ X1089 @ X1090)))))&(((X1089 @ (esk45_2 @ X1089 @ X1090)|(X1090 @ (esk44_3 @ X1089 @ X1090 @ X1097)|~X1090 @ X1097)|(X1089 @ (esk40_2 @ X1089 @ X1090)|X1090 @ (esk41_2 @ X1089 @ X1090)))&(~X1089 @ X1100|(esk45_2 @ X1089 @ X1090)=(X1100)|(X1090 @ (esk44_3 @ X1089 @ X1090 @ X1097)|~X1090 @ X1097)|(X1089 @ (esk40_2 @ X1089 @ X1090)|X1090 @ (esk41_2 @ X1089 @ X1090))))&((X1089 @ (esk45_2 @ X1089 @ X1090)|((X1097)!=(esk44_3 @ X1089 @ X1090 @ X1097)|~X1090 @ X1097)|(X1089 @ (esk40_2 @ X1089 @ X1090)|X1090 @ (esk41_2 @ X1089 @ X1090)))&(~X1089 @ X1100|(esk45_2 @ X1089 @ X1090)=(X1100)|((X1097)!=(esk44_3 @ X1089 @ X1090 @ X1097)|~X1090 @ X1097)|(X1089 @ (esk40_2 @ X1089 @ X1090)|X1090 @ (esk41_2 @ X1089 @ X1090))))))))&((emptyset)=(emptyset)&(((X1101)!=(X1102)|((X1103)!=(X1104)|(setadjoin @ X1101 @ X1103)=(setadjoin @ X1102 @ X1104)))&(((X1105)!=(X1106)|(powerset @ X1105)=(powerset @ X1106))&(((X1107)!=(X1108)|(setunion @ X1107)=(setunion @ X1108))&((omega)=(omega)&(((X1109 @ (esk46_2 @ X1109 @ X1110)|~X1109 @ X1110|(~X1109 @ X1112|(~X1109 @ X1113|(X1112)=(X1113))))&((X1110)!=(esk46_2 @ X1109 @ X1110)|~X1109 @ X1110|(~X1109 @ X1112|(~X1109 @ X1113|(X1112)=(X1113)))))&(((((X1115 @ (esk50_3 @ X1114 @ X1115 @ X1120)|~X1115 @ X1120|(descr @ (epred1_2 @ X1114))=(descr @ (epred1_2 @ X1115))|(X1114 @ (esk49_3 @ X1114 @ X1115 @ X1118)|~X1114 @ X1118)|(esk47_2 @ X1114 @ X1115)=(esk48_2 @ X1114 @ X1115))&((X1120)!=(esk50_3 @ X1114 @ X1115 @ X1120)|~X1115 @ X1120|(descr @ (epred1_2 @ X1114))=(descr @ (epred1_2 @ X1115))|(X1114 @ (esk49_3 @ X1114 @ X1115 @ X1118)|~X1114 @ X1118)|(esk47_2 @ X1114 @ X1115)=(esk48_2 @ X1114 @ X1115)))&((X1115 @ (esk50_3 @ X1114 @ X1115 @ X1120)|~X1115 @ X1120|(descr @ (epred1_2 @ X1114))=(descr @ (epred1_2 @ X1115))|((X1118)!=(esk49_3 @ X1114 @ X1115 @ X1118)|~X1114 @ X1118)|(esk47_2 @ X1114 @ X1115)=(esk48_2 @ X1114 @ X1115))&((X1120)!=(esk50_3 @ X1114 @ X1115 @ X1120)|~X1115 @ X1120|(descr @ (epred1_2 @ X1114))=(descr @ (epred1_2 @ X1115))|((X1118)!=(esk49_3 @ X1114 @ X1115 @ X1118)|~X1114 @ X1118)|(esk47_2 @ X1114 @ X1115)=(esk48_2 @ X1114 @ X1115))))&((((X1115 @ (esk50_3 @ X1114 @ X1115 @ X1120)|~X1115 @ X1120|(descr @ (epred1_2 @ X1114))=(descr @ (epred1_2 @ X1115))|(X1114 @ (esk49_3 @ X1114 @ X1115 @ X1118)|~X1114 @ X1118)|(~X1114 @ (esk47_2 @ X1114 @ X1115)|~X1115 @ (esk48_2 @ X1114 @ X1115)))&((X1120)!=(esk50_3 @ X1114 @ X1115 @ X1120)|~X1115 @ X1120|(descr @ (epred1_2 @ X1114))=(descr @ (epred1_2 @ X1115))|(X1114 @ (esk49_3 @ X1114 @ X1115 @ X1118)|~X1114 @ X1118)|(~X1114 @ (esk47_2 @ X1114 @ X1115)|~X1115 @ (esk48_2 @ X1114 @ X1115))))&((X1115 @ (esk50_3 @ X1114 @ X1115 @ X1120)|~X1115 @ X1120|(descr @ (epred1_2 @ X1114))=(descr @ (epred1_2 @ X1115))|((X1118)!=(esk49_3 @ X1114 @ X1115 @ X1118)|~X1114 @ X1118)|(~X1114 @ (esk47_2 @ X1114 @ X1115)|~X1115 @ (esk48_2 @ X1114 @ X1115)))&((X1120)!=(esk50_3 @ X1114 @ X1115 @ X1120)|~X1115 @ X1120|(descr @ (epred1_2 @ X1114))=(descr @ (epred1_2 @ X1115))|((X1118)!=(esk49_3 @ X1114 @ X1115 @ X1118)|~X1114 @ X1118)|(~X1114 @ (esk47_2 @ X1114 @ X1115)|~X1115 @ (esk48_2 @ X1114 @ X1115)))))&(((X1115 @ (esk50_3 @ X1114 @ X1115 @ X1120)|~X1115 @ X1120|(descr @ (epred1_2 @ X1114))=(descr @ (epred1_2 @ X1115))|(X1114 @ (esk49_3 @ X1114 @ X1115 @ X1118)|~X1114 @ X1118)|(X1114 @ (esk47_2 @ X1114 @ X1115)|X1115 @ (esk48_2 @ X1114 @ X1115)))&((X1120)!=(esk50_3 @ X1114 @ X1115 @ X1120)|~X1115 @ X1120|(descr @ (epred1_2 @ X1114))=(descr @ (epred1_2 @ X1115))|(X1114 @ (esk49_3 @ X1114 @ X1115 @ X1118)|~X1114 @ X1118)|(X1114 @ (esk47_2 @ X1114 @ X1115)|X1115 @ (esk48_2 @ X1114 @ X1115))))&((X1115 @ (esk50_3 @ X1114 @ X1115 @ X1120)|~X1115 @ X1120|(descr @ (epred1_2 @ X1114))=(descr @ (epred1_2 @ X1115))|((X1118)!=(esk49_3 @ X1114 @ X1115 @ X1118)|~X1114 @ X1118)|(X1114 @ (esk47_2 @ X1114 @ X1115)|X1115 @ (esk48_2 @ X1114 @ X1115)))&((X1120)!=(esk50_3 @ X1114 @ X1115 @ X1120)|~X1115 @ X1120|(descr @ (epred1_2 @ X1114))=(descr @ (epred1_2 @ X1115))|((X1118)!=(esk49_3 @ X1114 @ X1115 @ X1118)|~X1114 @ X1118)|(X1114 @ (esk47_2 @ X1114 @ X1115)|X1115 @ (esk48_2 @ X1114 @ X1115)))))))&(((in @ (esk51_4 @ X1122 @ X1123 @ X1124 @ X1125) @ X1122|(dsetconstr @ X1122 @ (epred1_2 @ X1124))=(dsetconstr @ X1123 @ (epred1_2 @ X1125))|(X1122)!=(X1123))&((in @ (esk52_4 @ X1122 @ X1123 @ X1124 @ X1125) @ X1123|(dsetconstr @ X1122 @ (epred1_2 @ X1124))=(dsetconstr @ X1123 @ (epred1_2 @ X1125))|(X1122)!=(X1123))&(((esk51_4 @ X1122 @ X1123 @ X1124 @ X1125)=(esk52_4 @ X1122 @ X1123 @ X1124 @ X1125)|(dsetconstr @ X1122 @ (epred1_2 @ X1124))=(dsetconstr @ X1123 @ (epred1_2 @ X1125))|(X1122)!=(X1123))&((~X1124 @ (esk51_4 @ X1122 @ X1123 @ X1124 @ X1125)|~X1125 @ (esk52_4 @ X1122 @ X1123 @ X1124 @ X1125)|(dsetconstr @ X1122 @ (epred1_2 @ X1124))=(dsetconstr @ X1123 @ (epred1_2 @ X1125))|(X1122)!=(X1123))&(X1124 @ (esk51_4 @ X1122 @ X1123 @ X1124 @ X1125)|X1125 @ (esk52_4 @ X1122 @ X1123 @ X1124 @ X1125)|(dsetconstr @ X1122 @ (epred1_2 @ X1124))=(dsetconstr @ X1123 @ (epred1_2 @ X1125))|(X1122)!=(X1123))))))&(((in @ (esk53_2 @ X1128 @ X1129) @ X1128|subset @ X1128 @ X1129)&(~in @ (esk53_2 @ X1128 @ X1129) @ X1129|subset @ X1128 @ X1129))&(((X1131)!=(X1132)|subset @ X1132 @ X1131)&(((X1133)!=(X1134)|subset @ X1133 @ X1134)&(((in @ (esk54_2 @ X1135 @ X1136) @ X1135|subset @ X1135 @ X1136)&(~in @ (esk54_2 @ X1135 @ X1136) @ X1136|subset @ X1135 @ X1136))&(subset @ emptyset @ X1138&((~subset @ X1139 @ X1140|(~in @ X1141 @ X1139|in @ X1141 @ X1140))&((~subset @ X1142 @ X1143|(in @ X1144 @ X1143|~in @ X1144 @ X1142))&((~in @ X1147 @ X1145|(in @ X1147 @ X1146|~subset @ X1145 @ X1146))&((subset @ X1148 @ X1149|(X1148)!=(X1149))&((~in @ X1152 @ X1150|(in @ X1152 @ X1151|(X1150)!=(X1151)))&(subset @ X1153 @ X1153&((~subset @ X1154 @ X1155|(~subset @ X1155 @ X1156|subset @ X1154 @ X1156))&(subset @ X1158 @ (setadjoin @ X1157 @ X1158)&((~subset @ X1159 @ X1161|subset @ X1159 @ (setadjoin @ X1160 @ X1161))&((~subset @ X1162 @ X1163|in @ X1162 @ (powerset @ X1163))&((~subset @ X1164 @ X1165|(~subset @ X1165 @ X1164|(X1164)=(X1165)))&((~subset @ X1166 @ emptyset|(X1166)=(emptyset))&((~subset @ X1168 @ X1167|in @ X1168 @ (powerset @ X1167))&((~in @ X1170 @ (powerset @ X1169)|subset @ X1170 @ X1169)&(in @ X1171 @ (powerset @ X1171)&((~subset @ X1172 @ X1173|subset @ (powerset @ X1172) @ (powerset @ X1173))&(in @ (dsetconstr @ X1174 @ (epred1_2 @ X1175)) @ (powerset @ X1174)&(subset @ (dsetconstr @ X1176 @ (epred1_2 @ X1177)) @ X1176&((~in @ X1180 @ X1178|in @ X1180 @ (binunion @ X1178 @ X1179))&(in @ X1182 @ (setadjoin @ X1181 @ (setadjoin @ X1182 @ emptyset))&((~in @ X1185 @ X1184|in @ X1185 @ (binunion @ X1183 @ X1184))&((((in @ X1188 @ X1187|X1189|in @ X1188 @ X1186|~in @ X1188 @ (binunion @ X1186 @ X1187))&(~X1189|X1189|in @ X1188 @ X1186|~in @ X1188 @ (binunion @ X1186 @ X1187)))&((in @ X1188 @ X1187|X1189|~X1189|~in @ X1188 @ (binunion @ X1186 @ X1187))&(~X1189|X1189|~X1189|~in @ X1188 @ (binunion @ X1186 @ X1187))))&((~in @ X1192 @ (binunion @ X1190 @ X1191)|(in @ X1192 @ X1190|in @ X1192 @ X1191))&(subset @ X1193 @ (binunion @ X1193 @ X1194)&(subset @ X1196 @ (binunion @ X1195 @ X1196)&((~in @ X1199 @ X1197|(~in @ X1199 @ X1198|in @ X1199 @ (binintersect @ X1197 @ X1198)))&((~subset @ X1202 @ X1200|(~subset @ X1202 @ X1201|subset @ X1202 @ (binintersect @ X1200 @ X1201)))&((~in @ X1205 @ (binintersect @ X1203 @ X1204)|in @ X1205 @ X1203)&(subset @ (binintersect @ X1206 @ X1207) @ X1206&((~subset @ X1208 @ X1209|(binintersect @ X1208 @ X1209)=(X1208))&(((binintersect @ X1210 @ X1211)!=(X1211)|subset @ X1211 @ X1210)&((~in @ X1214 @ (binintersect @ X1212 @ X1213)|in @ X1214 @ X1213)&(((in @ (esk55_2 @ X1215 @ X1216) @ X1215|(binintersect @ X1215 @ X1216)=(emptyset))&(in @ (esk55_2 @ X1215 @ X1216) @ X1216|(binintersect @ X1215 @ X1216)=(emptyset)))&(subset @ (binintersect @ X1218 @ X1219) @ X1219&((~subset @ X1221 @ X1220|(binintersect @ X1220 @ X1221)=(X1221))&(((binintersect @ X1222 @ X1223)!=(X1222)|subset @ X1222 @ X1223)&((binintersect @ X1224 @ (binunion @ X1225 @ X1226))=(binunion @ (binintersect @ 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(powerset @ X1664)|(~in @ X1666 @ (powerset @ X1664)|(~subset @ X1665 @ X1666|subset @ (setminus @ X1664 @ X1666) @ (setminus @ X1664 @ X1665))))&((~in @ X1668 @ (powerset @ X1667)|(~in @ X1669 @ (powerset @ X1667)|(~subset @ (setminus @ X1667 @ X1669) @ (setminus @ X1667 @ X1668)|subset @ X1668 @ X1669)))&((~in @ X1671 @ (powerset @ X1670)|(~in @ X1672 @ X1670|(~in @ X1672 @ X1671|in @ X1672 @ (setminus @ X1670 @ (setminus @ X1670 @ X1671)))))&((~in @ X1674 @ (powerset @ X1673)|(~in @ X1675 @ X1673|(~in @ X1675 @ (setminus @ X1673 @ (setminus @ X1673 @ X1674))|in @ X1675 @ X1674)))&((~in @ X1677 @ (powerset @ X1676)|subset @ X1677 @ (setminus @ X1676 @ (setminus @ X1676 @ X1677)))&((~in @ X1679 @ (powerset @ X1678)|subset @ (setminus @ X1678 @ (setminus @ X1678 @ X1679)) @ X1679)&((~in @ X1681 @ (powerset @ X1680)|(X1681)=(setminus @ X1680 @ (setminus @ X1680 @ X1681)))&((~in @ X1683 @ (powerset @ X1682)|(~in @ X1684 @ (powerset @ X1682)|(~in @ X1685 @ X1682|(~in @ X1685 @ (setminus @ X1682 @ X1683)|~in @ X1685 @ (binintersect @ X1683 @ X1684)))))&((~in @ X1687 @ (powerset @ X1686)|(~in @ X1688 @ (powerset @ X1686)|(~in @ X1689 @ X1686|(~in @ X1689 @ (setminus @ X1686 @ X1687)|in @ X1689 @ (setminus @ X1686 @ (binintersect @ X1687 @ X1688))))))&((~in @ X1691 @ (powerset @ X1690)|(~in @ X1692 @ (powerset @ X1690)|subset @ (setminus @ X1690 @ X1691) @ (setminus @ X1690 @ (binintersect @ X1691 @ X1692))))&((~in @ X1694 @ (powerset @ X1693)|(~in @ X1695 @ (powerset @ X1693)|in @ (setminus @ X1693 @ X1694) @ (powerset @ (setminus @ X1693 @ (binintersect @ X1694 @ X1695)))))&((~in @ X1697 @ (powerset @ X1696)|(~in @ X1698 @ (powerset @ X1696)|(~subset @ X1697 @ (setminus @ X1696 @ X1698)|(~in @ X1699 @ X1696|(~in @ X1699 @ X1698|in @ X1699 @ (setminus @ X1696 @ X1697))))))&((~in @ X1701 @ (powerset @ X1700)|(~in @ X1702 @ (powerset @ X1700)|(~subset @ X1701 @ (setminus @ X1700 @ X1702)|subset @ X1702 @ (setminus @ X1700 @ X1701))))&((~in @ X1704 @ (powerset @ X1703)|(~in @ X1705 @ (powerset @ X1703)|(~in @ X1706 @ X1703|(in @ X1706 @ (binunion @ X1704 @ X1705)|~in @ X1706 @ X1704))))&((~in @ X1708 @ (powerset @ X1707)|(~in @ X1709 @ (powerset @ X1707)|(~in @ X1710 @ X1707|(in @ X1710 @ (binunion @ X1708 @ X1709)|~in @ X1710 @ X1709))))&((~in @ X1712 @ (powerset @ X1711)|(~in @ X1713 @ (powerset @ X1711)|(~in @ X1714 @ (powerset @ X1711)|(~in @ X1715 @ X1711|(~in @ X1715 @ (binintersect @ X1712 @ X1713)|in @ X1715 @ (binunion @ X1712 @ X1714))))))&((~in @ X1717 @ (powerset @ X1716)|(~in @ X1718 @ (powerset @ X1716)|(~in @ X1719 @ (powerset @ X1716)|(~in @ X1720 @ X1716|(~in @ X1720 @ (binintersect @ X1717 @ X1718)|in @ X1720 @ (binunion @ X1718 @ X1719))))))&(in @ esk89_0 @ (powerset @ esk88_0)&(in @ esk90_0 @ (powerset @ esk88_0)&(in @ esk91_0 @ (powerset @ esk88_0)&(in @ esk92_0 @ esk88_0&(in @ esk92_0 @ (binintersect @ esk89_0 @ esk90_0)&~in @ esk92_0 @ (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_298])])])])])])).
0.55/0.78	thf(c_0_300, negated_conjecture, ~in @ esk92_0 @ (binintersect @ (binunion @ esk89_0 @ esk91_0) @ (binunion @ esk90_0 @ esk91_0)), inference(split_conjunct,[status(thm)],[c_0_299])).
0.55/0.78	thf(c_0_301, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(in @ X2 @ (binintersect @ X3 @ X4)|~in @ X2 @ X3|~in @ X2 @ X4), inference(split_conjunct,[status(thm)],[c_0_299])).
0.55/0.78	thf(c_0_302, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(in @ X2 @ X4|~in @ X2 @ (binintersect @ X3 @ X4)), inference(split_conjunct,[status(thm)],[c_0_299])).
0.55/0.78	thf(c_0_303, negated_conjecture, in @ esk92_0 @ (binintersect @ esk89_0 @ esk90_0), inference(split_conjunct,[status(thm)],[c_0_299])).
0.55/0.78	thf(c_0_304, negated_conjecture, (~in @ esk92_0 @ (binunion @ esk90_0 @ esk91_0)|~in @ esk92_0 @ (binunion @ esk89_0 @ esk91_0)), inference(spm,[status(thm)],[c_0_300, c_0_301])).
0.55/0.78	thf(c_0_305, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(in @ X2 @ (binunion @ X3 @ X4)|~in @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_299])).
0.55/0.78	thf(c_0_306, negated_conjecture, in @ esk92_0 @ esk90_0, inference(spm,[status(thm)],[c_0_302, c_0_303])).
0.55/0.78	thf(c_0_307, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(in @ X2 @ X3|~in @ X2 @ (binintersect @ X3 @ X4)), inference(split_conjunct,[status(thm)],[c_0_299])).
0.55/0.78	thf(c_0_308, negated_conjecture, ~in @ esk92_0 @ (binunion @ esk89_0 @ esk91_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304, c_0_305]), c_0_306])])).
0.55/0.78	thf(c_0_309, negated_conjecture, in @ esk92_0 @ esk89_0, inference(spm,[status(thm)],[c_0_307, c_0_303])).
0.55/0.78	thf(c_0_310, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308, c_0_305]), c_0_309])]), ['proof']).
0.55/0.78	# SZS output end CNFRefutation
0.55/0.78	# Proof object total steps             : 311
0.55/0.78	# Proof object clause steps            : 11
0.55/0.78	# Proof object formula steps           : 300
0.55/0.78	# Proof object conjectures             : 14
0.55/0.78	# Proof object clause conjectures      : 11
0.55/0.78	# Proof object formula conjectures     : 3
0.55/0.78	# Proof object initial clauses used    : 6
0.55/0.78	# Proof object initial formulas used   : 263
0.55/0.78	# Proof object generating inferences   : 5
0.55/0.78	# Proof object simplifying inferences  : 4
0.55/0.78	# Training examples: 0 positive, 0 negative
0.55/0.78	# Parsed axioms                        : 559
0.55/0.78	# Removed by relevancy pruning/SinE    : 0
0.55/0.78	# Initial clauses                      : 769
0.55/0.78	# Removed in clause preprocessing      : 331
0.55/0.78	# Initial clauses in saturation        : 438
0.55/0.78	# Processed clauses                    : 464
0.55/0.78	# ...of these trivial                  : 9
0.55/0.78	# ...subsumed                          : 41
0.55/0.78	# ...remaining for further processing  : 414
0.55/0.78	# Other redundant clauses eliminated   : 992
0.55/0.78	# Clauses deleted for lack of memory   : 0
0.55/0.78	# Backward-subsumed                    : 0
0.55/0.78	# Backward-rewritten                   : 2
0.55/0.78	# Generated clauses                    : 12378
0.55/0.78	# ...of the previous two non-trivial   : 10827
0.55/0.78	# Contextual simplify-reflections      : 6
0.55/0.78	# Paramodulations                      : 10192
0.55/0.78	# Factorizations                       : 2
0.55/0.78	# NegExts                              : 0
0.55/0.78	# Equation resolutions                 : 1000
0.55/0.78	# Propositional unsat checks           : 0
0.55/0.78	#    Propositional check models        : 0
0.55/0.78	#    Propositional check unsatisfiable : 0
0.55/0.78	#    Propositional clauses             : 0
0.55/0.78	#    Propositional clauses after purity: 0
0.55/0.78	#    Propositional unsat core size     : 0
0.55/0.78	#    Propositional preprocessing time  : 0.000
0.55/0.78	#    Propositional encoding time       : 0.000
0.55/0.78	#    Propositional solver time         : 0.000
0.55/0.78	#    Success case prop preproc time    : 0.000
0.55/0.78	#    Success case prop encoding time   : 0.000
0.55/0.78	#    Success case prop solver time     : 0.000
0.55/0.78	# Current number of processed clauses  : 398
0.55/0.78	#    Positive orientable unit clauses  : 38
0.55/0.78	#    Positive unorientable unit clauses: 0
0.55/0.78	#    Negative unit clauses             : 12
0.55/0.78	#    Non-unit-clauses                  : 348
0.55/0.78	# Current number of unprocessed clauses: 10796
0.55/0.78	# ...number of literals in the above   : 54494
0.55/0.78	# Current number of archived formulas  : 0
0.55/0.78	# Current number of archived clauses   : 2
0.55/0.78	# Clause-clause subsumption calls (NU) : 32121
0.55/0.78	# Rec. Clause-clause subsumption calls : 11178
0.55/0.78	# Non-unit clause-clause subsumptions  : 37
0.55/0.78	# Unit Clause-clause subsumption calls : 227
0.55/0.78	# Rewrite failures with RHS unbound    : 0
0.55/0.78	# BW rewrite match attempts            : 10
0.55/0.78	# BW rewrite match successes           : 2
0.55/0.78	# Condensation attempts                : 0
0.55/0.78	# Condensation successes               : 0
0.55/0.78	# Termbank termtop insertions          : 301938
0.55/0.78	
0.55/0.78	# -------------------------------------------------
0.55/0.78	# User time                : 0.366 s
0.55/0.78	# System time              : 0.016 s
0.55/0.78	# Total time               : 0.382 s
0.55/0.78	# Maximum resident set size: 2280 pages
0.55/0.78	EOF