0.10/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.15	% Command    : eprover-ho %s --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --free-numbers -auto-schedule -p --cpu-limit=%d --neg-ext=all --pos-ext=all --ext-sup-max-depth=2 --schedule-kind=CASC
0.15/0.36	% Computer   : n013.cluster.edu
0.15/0.36	% Model      : x86_64 x86_64
0.15/0.36	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.36	% Memory     : 8042.1875MB
0.15/0.36	% OS         : Linux 3.10.0-693.el7.x86_64
0.15/0.36	% CPULimit   : 1200
0.15/0.36	% WCLimit    : 120
0.15/0.36	% DateTime   : Tue Jul 13 15:51:48 EDT 2021
0.15/0.37	% CPUTime    : 
0.15/0.37	% Number of cores: 8
0.15/0.37	% Python version: Python 3.6.8
0.15/0.37	# Version: 2.6rc1-ho
0.15/0.39	# No SInE strategy applied
0.15/0.39	# Trying AutoSched0 for 59 seconds
59.17/59.38	# AutoSched0-Mode selected heuristic G_E___303_C18_F1_URBAN_S0Y
59.17/59.38	# and selection function SelectMaxLComplexAvoidPosPred.
59.17/59.38	#
59.17/59.38	# Preprocessing time       : 0.133 s
59.17/59.41	# No success with AutoSched0
59.17/59.41	# Trying AutoSched1 for 26 seconds
59.56/59.77	# AutoSched1-Mode selected heuristic G_E___008_C45_F1_PI_SE_Q4_CS_SP_S4SI
59.56/59.77	# and selection function SelectNewComplexAHPNS.
59.56/59.77	#
59.56/59.77	# Preprocessing time       : 0.085 s
59.56/59.77	
59.56/59.77	# Proof found!
59.56/59.77	# SZS status Theorem
59.56/59.77	# SZS output start CNFRefutation
59.56/59.77	thf(replAx, axiom, (replAx<=>![X6:$i > $i > $o, X4:$i]:(![X2:$i]:(in @ X2 @ X4=>exu @ (^[X3:$i]:X6 @ X2 @ X3))=>?[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', replAx)).
59.56/59.77	thf(exu, axiom, (exu)=(^[X1:$i > $o]:?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exu)).
59.56/59.77	thf(descrp, axiom, (descrp<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>X1 @ (descr @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', descrp)).
59.56/59.77	thf(exuE1, axiom, (exuE1<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE1)).
59.56/59.77	thf(exuE3e, axiom, (exuE3e<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:X1 @ X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE3e)).
59.56/59.77	thf(nonemptyE1, axiom, (nonemptyE1<=>![X4:$i]:(nonempty @ X4=>?[X2:$i]:in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyE1)).
59.56/59.77	thf(nonempty, axiom, (nonempty)=(^[X2:$i]:(X2)!=(emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonempty)).
59.56/59.77	thf(nonemptyI, axiom, (nonemptyI<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyI)).
59.56/59.77	thf(nonemptyI1, axiom, (nonemptyI1<=>![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>nonempty @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyI1)).
59.56/59.77	thf(exuE2, axiom, (exuE2<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE2)).
59.56/59.77	thf(nonemptyImpWitness, axiom, (nonemptyImpWitness<=>![X4:$i]:(nonempty @ X4=>?[X2:$i]:(in @ X2 @ X4&$true))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyImpWitness)).
59.56/59.77	thf(exuI1, axiom, (exuI1<=>![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>exu @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuI1)).
59.56/59.77	thf(exuI3, axiom, (exuI3<=>![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>exu @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuI3)).
59.56/59.77	thf(exuI2, axiom, (exuI2<=>![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>exu @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuI2)).
59.56/59.77	thf(exuE3u, axiom, (exuE3u<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE3u)).
59.56/59.77	thf(exu__Cong, axiom, (exu__Cong<=>![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(exu @ (^[X2:$i]:X1 @ X2)<=>exu @ (^[X2:$i]:X17 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exu__Cong)).
59.56/59.77	thf(exuEu, axiom, (exuEu<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuEu)).
59.56/59.77	thf(descr__Cong, axiom, (descr__Cong<=>![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(exu @ (^[X2:$i]:X1 @ X2)=>(exu @ (^[X2:$i]:X17 @ X2)=>(descr @ (^[X2:$i]:X1 @ X2))=(descr @ (^[X2:$i]:X17 @ X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', descr__Cong)).
59.56/59.77	thf(ex1E1, axiom, (ex1E1<=>![X4:$i, X1:$i > $o]:(ex1 @ X4 @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:(in @ X2 @ X4&X1 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ex1E1)).
59.56/59.77	thf(ex1, axiom, (ex1)=(^[X4:$i, X1:$i > $o]:singleton @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ex1)).
59.56/59.77	thf(ex1I, axiom, (ex1I<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(![X3:$i]:(in @ X3 @ X4=>(X1 @ X3=>(X3)=(X2)))=>ex1 @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ex1I)).
59.56/59.77	thf(ex1I2, axiom, (ex1I2<=>![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))))=>(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>ex1 @ X4 @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ex1I2)).
59.56/59.77	thf(setOfPairsIsBReln, axiom, (setOfPairsIsBReln<=>![X4:$i, X5:$i, X24:$i > $i > $o]:breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:X24 @ X2 @ X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setOfPairsIsBReln)).
59.56/59.77	thf(breln, axiom, (breln)=(^[X4:$i, X5:$i, X7:$i]:subset @ X7 @ (cartprod @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', breln)).
59.56/59.77	thf(brelnall1, axiom, (brelnall1<=>![X4:$i, X5:$i, X33:$i]:(breln @ X4 @ X5 @ X33=>![X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>X1 @ (kpair @ X2 @ X3))))=>![X2:$i]:(in @ X2 @ X33=>X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', brelnall1)).
59.56/59.77	thf(brelnall2, axiom, (brelnall2<=>![X4:$i, X5:$i, X33:$i]:(breln @ X4 @ X5 @ X33=>![X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>X1 @ (kpair @ X2 @ X3))))=>![X2:$i]:(in @ X2 @ X33=>X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', brelnall2)).
59.56/59.77	thf(ex1E2, axiom, (ex1E2<=>![X4:$i, X1:$i > $o]:(ex1 @ X4 @ (^[X2:$i]:X1 @ X2)=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ex1E2)).
59.56/59.77	thf(subbreln, axiom, (subbreln<=>![X4:$i, X5:$i, X33:$i]:(breln @ X4 @ X5 @ X33=>![X35:$i]:(breln @ X4 @ X5 @ X35=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>in @ (kpair @ X2 @ X3) @ X35)))=>subset @ X33 @ X35)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subbreln)).
59.56/59.77	thf(eqbreln, axiom, (eqbreln<=>![X4:$i, X5:$i, X33:$i]:(breln @ X4 @ X5 @ X33=>![X35:$i]:(breln @ X4 @ X5 @ X35=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>in @ (kpair @ X2 @ X3) @ X35)))=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X35=>in @ (kpair @ X2 @ X3) @ X33)))=>(X33)=(X35)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eqbreln)).
59.56/59.77	thf(doubleComplementEq, conjecture, (((((setunionAx=>(omega0Ax=>(((replAx=>(foundationAx=>(wellorderingAx=>((dsetconstrI=>(((((emptysetE=>((notinemptyset=>(exuE3e=>(setext=>((((nonemptyE1=>(nonemptyI=>(nonemptyI1=>(setadjoinIL=>((setadjoinIR=>(setadjoinE=>(setadjoinOr=>((powersetI=>(((((((exuE2=>(((notinsingleton=>((singletonsswitch=>((upairsetIL=>((emptyE1=>((((quantDeMorgan3=>(((((notdallE=>(((exuI2=>((((exu__Cong=>(emptyset__Cong=>((powerset__Cong=>(setunion__Cong=>(omega__Cong=>(exuEu=>(descr__Cong=>(((((subsetI2=>((((notsubsetI=>(notequalI1=>(notequalI2=>((((setadjoinSub2=>(subset2powerset=>(setextsub=>(subsetemptysetimpeq=>(powersetI1=>((inPowerset=>(((sepSubset=>(binunionIL=>((binunionIR=>(binunionEcases=>((binunionLsub=>(binunionRsub=>(binintersectI=>((binintersectEL=>(((binintersectSubset3=>((((((((setminusEL=>(setminusER=>(setminusSubset2=>(((setminusILneg=>((setminusLsub=>((symdiffE=>((symdiffI2=>((symdiffIneg2=>((((kpairiskpair=>(kpairp=>((singletoninpowerset=>(singletoninpowunion=>(upairset2E=>((upairinpowunion=>(ubforcartprodlem1=>(((cartprodpairin=>((((setunionsingleton1=>((setunionsingleton=>((((((((theprop=>(kfstpairEq=>(cartprodfstin=>(((setukpairinjR11=>(setukpairinjR12=>(setukpairinjR1=>((setukpairinjR2=>(setukpairinjR=>(ksndsingleton=>(ksndpairEq=>(kpairsurjEq=>((cartprodpairmemEL=>(cartprodpairmemER=>(((cartprodsndpairEq=>(((dpsetconstrSub=>((dpsetconstrERa=>((dpsetconstrEL2=>(((((((funcinfuncset=>((((((ex1E2=>(funcGraphProp1=>(funcGraphProp3=>((funcextLem=>(funcGraphProp4=>(subbreln=>((funcext=>(funcext2=>(((beta1=>((((eta2=>(iffalseProp1=>((iftrueProp1=>(iftrueProp2=>(ifSingleton=>(ifp=>((iftrue=>((iftrueorfalse=>((binunionT_lem=>((((setextT=>((((complementTI1=>(((binintersectTERcontra=>(contrasubsetT=>(contrasubsetT1=>(contrasubsetT2=>(((doubleComplementE1=>(doubleComplementSub1=>(doubleComplementSub2=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>(X21)=(setminus @ X4 @ (setminus @ X4 @ X21))))))<=doubleComplementI1)<=contrasubsetT3)))))<=binintersectTELcontra)<=complementTE1))<=powersetTE1)<=powersetTI1)<=subsetTI))<=complementT_lem)<=setminusT_lem)<=powersetT_lem))<=binintersectT_lem))<=iffalse))<=theeq)))))<=iffalseProp2)))<=beta2)<=lam2lamEq)<=eta1))<=ap2apEq2)<=ap2apEq1)))<=eqbreln))))<=funcGraphProp2))))<=brelnall2)<=brelnall1)<=lam2p)<=lamp)<=lamProp))<=ap2p)<=infuncsetfunc)<=app)<=apProp)<=funcImageSingleton)<=dpsetconstrER))<=dpsetconstrEL1))<=setOfPairsIsBReln))<=dpsetconstrI)<=cartprodpairsurjEq))<=cartprodfstpairEq)<=cartprodmempaircEq)))<=cartprodsndin))))))<=upairequniteq))))<=setukpairinjL)<=setukpairinjL2))))<=kfstsingleton)<=setukpairinjL1)<=singletonsuniq)<=ex1I2)<=ex1I)<=ex1E1)<=singletonprop))<=setunionsingleton2))<=setunionE2)<=cartprodmempair)<=cartprodmempair1))<=ubforcartprodlem3)<=ubforcartprodlem2)))<=upairsubunion))))<=singletonsubset)))<=setukpairIR)<=setukpairIL)<=secondinupair))<=symdiffIneg1))<=symdiffI1))<=setminusSubset1))<=setminusIRneg))<=setminusELneg)<=setminusERneg))))<=setminusI)<=bs114d)<=binintersectSubset1)<=binintersectSubset4)<=binintersectRsub)<=disjointsetsI1)<=binintersectER))<=binintersectSubset2)<=binintersectLsub))<=binintersectSubset5))))<=binunionE)))<=upairset2IR)))<=sepInPowerset)<=powersetsubset))<=powersetE1))))))<=setadjoinSub)<=subsetTrans)<=subsetRefl))))<=subsetE2)<=subsetE)<=emptysetsubset))<=eqimpsubset1)<=eqimpsubset2)<=subsetI1)<=dsetconstr__Cong))))))<=setadjoin__Cong)))<=exuE3u)<=in__Cong)<=inCongP))<=exuI3)<=exuI1))<=notdexE)<=prop2set2propI)<=prop2setI)<=quantDeMorgan4))<=quantDeMorgan2)<=quantDeMorgan1)<=vacuousDall))<=upairsetIR))<=upairsetE))<=eqinunit))<=uniqinunit)<=nonemptyImpWitness))<=subPowSU)<=setunionE)<=setunionI)<=powersetE)<=emptyInPowerset)<=emptyinPowerset))<=setoftrueEq))))<=emptyinunitempty)))))<=setbeta)<=noeltsimpempty)<=emptyI))))<=emptysetimpfalse))<=prop2setE)<=exuE1)<=dsetconstrER)<=dsetconstrEL))<=descrp))))<=omegaIndAx)<=omegaSAx)))<=powersetAx)<=setadjoinAx)<=emptysetAx)<=setextAx), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', doubleComplementEq)).
59.56/59.77	thf(setextAx, axiom, (setextAx<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4<=>in @ X2 @ X5)=>(X4)=(X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setextAx)).
59.56/59.77	thf(emptysetAx, axiom, (emptysetAx<=>![X2:$i]:~(in @ X2 @ emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetAx)).
59.56/59.77	thf(setadjoinAx, axiom, (setadjoinAx<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)<=>((X3)=(X2)|in @ X3 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinAx)).
59.56/59.77	thf(powersetAx, axiom, (powersetAx<=>![X4:$i, X5:$i]:(in @ X5 @ (powerset @ X4)<=>![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetAx)).
59.56/59.77	thf(setunionAx, axiom, (setunionAx<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)<=>?[X5:$i]:(in @ X2 @ X5&in @ X5 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionAx)).
59.56/59.77	thf(omega0Ax, axiom, (omega0Ax<=>in @ emptyset @ omega), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omega0Ax)).
59.56/59.77	thf(omegaSAx, axiom, (omegaSAx<=>![X2:$i]:(in @ X2 @ omega=>in @ (setadjoin @ X2 @ X2) @ omega)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omegaSAx)).
59.56/59.77	thf(omegaIndAx, axiom, (omegaIndAx<=>![X4:$i]:((in @ emptyset @ X4&![X2:$i]:((in @ X2 @ omega&in @ X2 @ X4)=>in @ (setadjoin @ X2 @ X2) @ X4))=>![X2:$i]:(in @ X2 @ omega=>in @ X2 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omegaIndAx)).
59.56/59.77	thf(foundationAx, axiom, (foundationAx<=>![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>?[X5:$i]:(in @ X5 @ X4&~(?[X2:$i]:(in @ X2 @ X5&in @ X2 @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', foundationAx)).
59.56/59.77	thf(wellorderingAx, axiom, (wellorderingAx<=>![X4:$i]:?[X5:$i]:(((![X7:$i]:(in @ X7 @ X5=>![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X4))&![X2:$i, X3:$i]:((in @ X2 @ X4&in @ X3 @ X4)=>(![X7:$i]:(in @ X7 @ X5=>(in @ X2 @ X7<=>in @ X3 @ X7))=>(X2)=(X3))))&![X7:$i, X8:$i]:((in @ X7 @ X5&in @ X8 @ X5)=>(![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X8)|![X2:$i]:(in @ X2 @ X8=>in @ X2 @ X7))))&![X7:$i]:((![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X4)&?[X2:$i]:in @ X2 @ X7)=>?[X8:$i, X2:$i]:(((in @ X8 @ X5&in @ X2 @ X7)&~(?[X3:$i]:(in @ X3 @ X8&in @ X3 @ X7)))&![X9:$i]:(in @ X9 @ X5=>(![X3:$i]:(in @ X3 @ X9=>in @ X3 @ X8)|in @ X2 @ X9)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', wellorderingAx)).
59.56/59.77	thf(dsetconstrI, axiom, (dsetconstrI<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrI)).
59.56/59.77	thf(dsetconstrEL, axiom, (dsetconstrEL<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))=>in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrEL)).
59.56/59.77	thf(dsetconstrER, axiom, (dsetconstrER<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))=>X1 @ X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrER)).
59.56/59.77	thf(prop2setE, axiom, (prop2setE<=>![X10:$o, X2:$i]:(in @ X2 @ (prop2set @ (X10))=>X10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prop2setE)).
59.56/59.77	thf(emptysetE, axiom, (emptysetE<=>![X2:$i]:(in @ X2 @ emptyset=>![X11:$o]:X11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetE)).
59.56/59.77	thf(emptysetimpfalse, axiom, (emptysetimpfalse<=>![X2:$i]:(in @ X2 @ emptyset=>~$true)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetimpfalse)).
59.56/59.77	thf(notinemptyset, axiom, (notinemptyset<=>![X2:$i]:~(in @ X2 @ emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notinemptyset)).
59.56/59.77	thf(setext, axiom, (setext<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>(X4)=(X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setext)).
59.56/59.77	thf(emptyI, axiom, (emptyI<=>![X4:$i]:(![X2:$i]:~(in @ X2 @ X4)=>(X4)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyI)).
59.56/59.77	thf(noeltsimpempty, axiom, (noeltsimpempty<=>![X4:$i]:(![X2:$i]:~(in @ X2 @ X4)=>(X4)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', noeltsimpempty)).
59.56/59.77	thf(setbeta, axiom, (setbeta<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))<=>X1 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setbeta)).
59.56/59.77	thf(setadjoinIL, axiom, (setadjoinIL<=>![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinIL)).
59.56/59.77	thf(emptyinunitempty, axiom, (emptyinunitempty<=>in @ emptyset @ (setadjoin @ emptyset @ emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyinunitempty)).
59.56/59.77	thf(setadjoinIR, axiom, (setadjoinIR<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ X4=>in @ X3 @ (setadjoin @ X2 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinIR)).
59.56/59.77	thf(setadjoinE, axiom, (setadjoinE<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>![X12:$o]:(((X3)=(X2)=>X12)=>((in @ X3 @ X4=>X12)=>X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinE)).
59.56/59.77	thf(setadjoinOr, axiom, (setadjoinOr<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>((X3)=(X2)|in @ X3 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinOr)).
59.56/59.77	thf(setoftrueEq, axiom, (setoftrueEq<=>![X4:$i]:(dsetconstr @ X4 @ (^[X2:$i]:$true))=(X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setoftrueEq)).
59.56/59.77	thf(powersetI, axiom, (powersetI<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>in @ X5 @ (powerset @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetI)).
59.56/59.77	thf(emptyinPowerset, axiom, (emptyinPowerset<=>![X4:$i]:in @ emptyset @ (powerset @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyinPowerset)).
59.56/59.77	thf(emptyInPowerset, axiom, (emptyInPowerset<=>![X4:$i]:in @ emptyset @ (powerset @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyInPowerset)).
59.56/59.77	thf(powersetE, axiom, (powersetE<=>![X4:$i, X5:$i, X2:$i]:(in @ X5 @ (powerset @ X4)=>(in @ X2 @ X5=>in @ X2 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetE)).
59.56/59.77	thf(setunionI, axiom, (setunionI<=>![X4:$i, X2:$i, X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>in @ X2 @ (setunion @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionI)).
59.56/59.77	thf(setunionE, axiom, (setunionE<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)=>![X13:$o]:(![X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>X13))=>X13))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionE)).
59.56/59.77	thf(subPowSU, axiom, (subPowSU<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (powerset @ (setunion @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subPowSU)).
59.56/59.77	thf(uniqinunit, axiom, (uniqinunit<=>![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', uniqinunit)).
59.56/59.77	thf(notinsingleton, axiom, (notinsingleton<=>![X2:$i, X3:$i]:((X2)!=(X3)=>~(in @ X3 @ (setadjoin @ X2 @ emptyset)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notinsingleton)).
59.56/59.77	thf(eqinunit, axiom, (eqinunit<=>![X2:$i, X3:$i]:((X2)=(X3)=>in @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eqinunit)).
59.56/59.77	thf(singletonsswitch, axiom, (singletonsswitch<=>![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>in @ X3 @ (setadjoin @ X2 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletonsswitch)).
59.56/59.77	thf(upairsetE, axiom, (upairsetE<=>![X2:$i, X3:$i, X14:$i]:(in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>((X14)=(X2)|(X14)=(X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsetE)).
59.56/59.77	thf(upairsetIL, axiom, (upairsetIL<=>![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsetIL)).
59.56/59.77	thf(upairsetIR, axiom, (upairsetIR<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsetIR)).
59.56/59.77	thf(emptyE1, axiom, (emptyE1<=>![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>((dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))=(emptyset)=>~$true))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyE1)).
59.56/59.77	thf(vacuousDall, axiom, (vacuousDall<=>![X1:$i > $o, X2:$i]:(in @ X2 @ emptyset=>X1 @ X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', vacuousDall)).
59.56/59.77	thf(quantDeMorgan1, axiom, (quantDeMorgan1<=>![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan1)).
59.56/59.77	thf(quantDeMorgan2, axiom, (quantDeMorgan2<=>![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2))=>~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan2)).
59.56/59.77	thf(quantDeMorgan3, axiom, (quantDeMorgan3<=>![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan3)).
59.56/59.77	thf(quantDeMorgan4, axiom, (quantDeMorgan4<=>![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2))=>~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan4)).
59.56/59.77	thf(prop2setI, axiom, (prop2setI<=>![X15:$o]:(X15=>in @ emptyset @ (prop2set @ (X15)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prop2setI)).
59.56/59.77	thf(prop2set2propI, axiom, (prop2set2propI<=>![X16:$o]:(X16=>set2prop @ (prop2set @ (X16)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prop2set2propI)).
59.56/59.77	thf(notdexE, axiom, (notdexE<=>![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notdexE)).
59.56/59.77	thf(notdallE, axiom, (notdallE<=>![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notdallE)).
59.56/59.77	thf(inCongP, axiom, (inCongP<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4=>in @ X3 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', inCongP)).
59.56/59.77	thf(in__Cong, axiom, (in__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4<=>in @ X3 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', in__Cong)).
59.56/59.77	thf(emptyset__Cong, axiom, (emptyset__Cong<=>(emptyset)=(emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyset__Cong)).
59.56/59.77	thf(setadjoin__Cong, axiom, (setadjoin__Cong<=>![X2:$i, X3:$i]:((X2)=(X3)=>![X14:$i, X18:$i]:((X14)=(X18)=>(setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoin__Cong)).
59.56/59.77	thf(powerset__Cong, axiom, (powerset__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>(powerset @ X4)=(powerset @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powerset__Cong)).
59.56/59.77	thf(setunion__Cong, axiom, (setunion__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>(setunion @ X4)=(setunion @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunion__Cong)).
59.56/59.77	thf(omega__Cong, axiom, (omega__Cong<=>(omega)=(omega)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omega__Cong)).
59.56/59.77	thf(dsetconstr__Cong, axiom, (dsetconstr__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X1:$i > $o, X17:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))))=>(dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))=(dsetconstr @ X5 @ (^[X2:$i]:X17 @ X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstr__Cong)).
59.56/59.77	thf(subsetI1, axiom, (subsetI1<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetI1)).
59.56/59.77	thf(eqimpsubset2, axiom, (eqimpsubset2<=>![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X5 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eqimpsubset2)).
59.56/59.77	thf(eqimpsubset1, axiom, (eqimpsubset1<=>![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eqimpsubset1)).
59.56/59.77	thf(subsetI2, axiom, (subsetI2<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetI2)).
59.56/59.77	thf(emptysetsubset, axiom, (emptysetsubset<=>![X4:$i]:subset @ emptyset @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetsubset)).
59.56/59.77	thf(subsetE, axiom, (subsetE<=>![X4:$i, X5:$i, X2:$i]:(subset @ X4 @ X5=>(in @ X2 @ X4=>in @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetE)).
59.56/59.77	thf(subsetE2, axiom, (subsetE2<=>![X4:$i, X5:$i, X2:$i]:(subset @ X4 @ X5=>(~(in @ X2 @ X5)=>~(in @ X2 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetE2)).
59.56/59.77	thf(notsubsetI, axiom, (notsubsetI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>~(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notsubsetI)).
59.56/59.77	thf(notequalI1, axiom, (notequalI1<=>![X4:$i, X5:$i]:(~(subset @ X4 @ X5)=>(X4)!=(X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notequalI1)).
59.56/59.77	thf(notequalI2, axiom, (notequalI2<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>(X4)!=(X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notequalI2)).
59.56/59.77	thf(subsetRefl, axiom, (subsetRefl<=>![X4:$i]:subset @ X4 @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetRefl)).
59.56/59.77	thf(subsetTrans, axiom, (subsetTrans<=>![X4:$i, X5:$i, X7:$i]:(subset @ X4 @ X5=>(subset @ X5 @ X7=>subset @ X4 @ X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetTrans)).
59.56/59.77	thf(setadjoinSub, axiom, (setadjoinSub<=>![X2:$i, X4:$i]:subset @ X4 @ (setadjoin @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinSub)).
59.56/59.77	thf(setadjoinSub2, axiom, (setadjoinSub2<=>![X4:$i, X2:$i, X5:$i]:(subset @ X4 @ X5=>subset @ X4 @ (setadjoin @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinSub2)).
59.56/59.77	thf(subset2powerset, axiom, (subset2powerset<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>in @ X4 @ (powerset @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset2powerset)).
59.56/59.77	thf(setextsub, axiom, (setextsub<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(subset @ X5 @ X4=>(X4)=(X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setextsub)).
59.56/59.77	thf(subsetemptysetimpeq, axiom, (subsetemptysetimpeq<=>![X4:$i]:(subset @ X4 @ emptyset=>(X4)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetemptysetimpeq)).
59.56/59.77	thf(powersetI1, axiom, (powersetI1<=>![X4:$i, X5:$i]:(subset @ X5 @ X4=>in @ X5 @ (powerset @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetI1)).
59.56/59.77	thf(powersetE1, axiom, (powersetE1<=>![X4:$i, X5:$i]:(in @ X5 @ (powerset @ X4)=>subset @ X5 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetE1)).
59.56/59.77	thf(inPowerset, axiom, (inPowerset<=>![X4:$i]:in @ X4 @ (powerset @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', inPowerset)).
59.56/59.77	thf(powersetsubset, axiom, (powersetsubset<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>subset @ (powerset @ X4) @ (powerset @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetsubset)).
59.56/59.77	thf(sepInPowerset, axiom, (sepInPowerset<=>![X4:$i, X1:$i > $o]:in @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2)) @ (powerset @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sepInPowerset)).
59.56/59.77	thf(sepSubset, axiom, (sepSubset<=>![X4:$i, X1:$i > $o]:subset @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2)) @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sepSubset)).
59.56/59.77	thf(binunionIL, axiom, (binunionIL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (binunion @ X4 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionIL)).
59.56/59.77	thf(upairset2IR, axiom, (upairset2IR<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairset2IR)).
59.56/59.77	thf(binunionIR, axiom, (binunionIR<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X5=>in @ X2 @ (binunion @ X4 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionIR)).
59.56/59.77	thf(binunionEcases, axiom, (binunionEcases<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(in @ X2 @ (binunion @ X4 @ X5)=>((in @ X2 @ X4=>X19)=>((in @ X2 @ X5=>X19)=>X19)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionEcases)).
59.56/59.77	thf(binunionE, axiom, (binunionE<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binunion @ X4 @ X5)=>(in @ X2 @ X4|in @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionE)).
59.56/59.77	thf(binunionLsub, axiom, (binunionLsub<=>![X4:$i, X5:$i]:subset @ X4 @ (binunion @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionLsub)).
59.56/59.77	thf(binunionRsub, axiom, (binunionRsub<=>![X4:$i, X5:$i]:subset @ X5 @ (binunion @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionRsub)).
59.56/59.77	thf(binintersectI, axiom, (binintersectI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X5=>in @ X2 @ (binintersect @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectI)).
59.56/59.77	thf(binintersectSubset5, axiom, (binintersectSubset5<=>![X4:$i, X5:$i, X7:$i]:(subset @ X7 @ X4=>(subset @ X7 @ X5=>subset @ X7 @ (binintersect @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset5)).
59.56/59.77	thf(binintersectEL, axiom, (binintersectEL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binintersect @ X4 @ X5)=>in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectEL)).
59.56/59.77	thf(binintersectLsub, axiom, (binintersectLsub<=>![X4:$i, X5:$i]:subset @ (binintersect @ X4 @ X5) @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectLsub)).
59.56/59.77	thf(binintersectSubset2, axiom, (binintersectSubset2<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(binintersect @ X4 @ X5)=(X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset2)).
59.56/59.77	thf(binintersectSubset3, axiom, (binintersectSubset3<=>![X4:$i, X5:$i]:((binintersect @ X4 @ X5)=(X5)=>subset @ X5 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset3)).
59.56/59.77	thf(binintersectER, axiom, (binintersectER<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binintersect @ X4 @ X5)=>in @ X2 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectER)).
59.56/59.77	thf(disjointsetsI1, axiom, (disjointsetsI1<=>![X4:$i, X5:$i]:(~(?[X2:$i]:(in @ X2 @ X4&in @ X2 @ X5))=>(binintersect @ X4 @ X5)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', disjointsetsI1)).
59.56/59.77	thf(binintersectRsub, axiom, (binintersectRsub<=>![X4:$i, X5:$i]:subset @ (binintersect @ X4 @ X5) @ X5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectRsub)).
59.56/59.77	thf(binintersectSubset4, axiom, (binintersectSubset4<=>![X4:$i, X5:$i]:(subset @ X5 @ X4=>(binintersect @ X4 @ X5)=(X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset4)).
59.56/59.77	thf(binintersectSubset1, axiom, (binintersectSubset1<=>![X4:$i, X5:$i]:((binintersect @ X4 @ X5)=(X4)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset1)).
59.56/59.77	thf(bs114d, axiom, (bs114d<=>![X4:$i, X5:$i, X7:$i]:(binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', bs114d)).
59.56/59.77	thf(setminusI, axiom, (setminusI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusI)).
59.56/59.77	thf(setminusEL, axiom, (setminusEL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (setminus @ X4 @ X5)=>in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusEL)).
59.56/59.77	thf(setminusER, axiom, (setminusER<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (setminus @ X4 @ X5)=>~(in @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusER)).
59.56/59.77	thf(setminusSubset2, axiom, (setminusSubset2<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(setminus @ X4 @ X5)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusSubset2)).
59.56/59.77	thf(setminusERneg, axiom, (setminusERneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4=>in @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusERneg)).
59.56/59.77	thf(setminusELneg, axiom, (setminusELneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ (setminus @ X4 @ X5))=>(~(in @ X2 @ X5)=>~(in @ X2 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusELneg)).
59.56/59.77	thf(setminusILneg, axiom, (setminusILneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>~(in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusILneg)).
59.56/59.77	thf(setminusIRneg, axiom, (setminusIRneg<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X5=>~(in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusIRneg)).
59.56/59.77	thf(setminusLsub, axiom, (setminusLsub<=>![X4:$i, X5:$i]:subset @ (setminus @ X4 @ X5) @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusLsub)).
59.56/59.77	thf(setminusSubset1, axiom, (setminusSubset1<=>![X4:$i, X5:$i]:((setminus @ X4 @ X5)=(emptyset)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusSubset1)).
59.56/59.77	thf(symdiffE, axiom, (symdiffE<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (symdiff @ X4 @ X5)=>![X20:$o]:((in @ X2 @ X4=>(~(in @ X2 @ X5)=>X20))=>((~(in @ X2 @ X4)=>(in @ X2 @ X5=>X20))=>X20)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffE)).
59.56/59.77	thf(symdiffI1, axiom, (symdiffI1<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>in @ X2 @ (symdiff @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffI1)).
59.56/59.77	thf(symdiffI2, axiom, (symdiffI2<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>(in @ X2 @ X5=>in @ X2 @ (symdiff @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffI2)).
59.56/59.77	thf(symdiffIneg1, axiom, (symdiffIneg1<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X5=>~(in @ X2 @ (symdiff @ X4 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffIneg1)).
59.56/59.77	thf(symdiffIneg2, axiom, (symdiffIneg2<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>(~(in @ X2 @ X5)=>~(in @ X2 @ (symdiff @ X4 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffIneg2)).
59.56/59.77	thf(secondinupair, axiom, (secondinupair<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', secondinupair)).
59.56/59.77	thf(setukpairIL, axiom, (setukpairIL<=>![X2:$i, X3:$i]:in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairIL)).
59.56/59.77	thf(setukpairIR, axiom, (setukpairIR<=>![X2:$i, X3:$i]:in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairIR)).
59.56/59.77	thf(kpairiskpair, axiom, (kpairiskpair<=>![X2:$i, X3:$i]:iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', kpairiskpair)).
59.56/59.77	thf(kpairp, axiom, (kpairp<=>![X2:$i, X3:$i]:iskpair @ (kpair @ X2 @ X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', kpairp)).
59.56/59.77	thf(singletonsubset, axiom, (singletonsubset<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>subset @ (setadjoin @ X2 @ emptyset) @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletonsubset)).
59.56/59.77	thf(singletoninpowerset, axiom, (singletoninpowerset<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletoninpowerset)).
59.56/59.77	thf(singletoninpowunion, axiom, (singletoninpowunion<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletoninpowunion)).
59.56/59.77	thf(upairset2E, axiom, (upairset2E<=>![X2:$i, X3:$i, X14:$i]:(in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>((X14)=(X2)|(X14)=(X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairset2E)).
59.56/59.77	thf(upairsubunion, axiom, (upairsubunion<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsubunion)).
59.56/59.77	thf(upairinpowunion, axiom, (upairinpowunion<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairinpowunion)).
59.56/59.77	thf(ubforcartprodlem1, axiom, (ubforcartprodlem1<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ubforcartprodlem1)).
59.56/59.77	thf(ubforcartprodlem2, axiom, (ubforcartprodlem2<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ubforcartprodlem2)).
59.56/59.77	thf(ubforcartprodlem3, axiom, (ubforcartprodlem3<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ubforcartprodlem3)).
59.56/59.77	thf(cartprodpairin, axiom, (cartprodpairin<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodpairin)).
59.56/59.77	thf(cartprodmempair1, axiom, (cartprodmempair1<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>?[X2:$i]:(in @ X2 @ X4&?[X3:$i]:(in @ X3 @ X5&(X18)=(kpair @ X2 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodmempair1)).
59.56/59.77	thf(cartprodmempair, axiom, (cartprodmempair<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>iskpair @ X18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodmempair)).
59.56/59.77	thf(setunionE2, axiom, (setunionE2<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)=>?[X21:$i]:(in @ X21 @ X4&in @ X2 @ X21))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionE2)).
59.56/59.77	thf(setunionsingleton1, axiom, (setunionsingleton1<=>![X4:$i]:subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionsingleton1)).
59.56/59.77	thf(setunionsingleton2, axiom, (setunionsingleton2<=>![X4:$i]:subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionsingleton2)).
59.56/59.77	thf(setunionsingleton, axiom, (setunionsingleton<=>![X2:$i]:(setunion @ (setadjoin @ X2 @ emptyset))=(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionsingleton)).
59.56/59.77	thf(singletonprop, axiom, (singletonprop<=>![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))))=>(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>singleton @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletonprop)).
59.56/59.77	thf(singletonsuniq, axiom, (singletonsuniq<=>![X2:$i, X3:$i]:((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletonsuniq)).
59.56/59.77	thf(setukpairinjL1, axiom, (setukpairinjL1<=>![X2:$i, X3:$i, X14:$i]:(in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=>(X2)=(X14))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairinjL1)).
59.56/59.77	thf(kfstsingleton, axiom, (kfstsingleton<=>![X18:$i]:(iskpair @ X18=>singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:in @ (setadjoin @ X2 @ emptyset) @ X18)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', kfstsingleton)).
59.56/59.77	thf(theprop, axiom, (theprop<=>![X21:$i]:(singleton @ X21=>in @ (setunion @ X21) @ X21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', theprop)).
59.56/59.77	thf(kfstpairEq, axiom, (kfstpairEq<=>![X2:$i, X3:$i]:(kfst @ (kpair @ X2 @ X3))=(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', kfstpairEq)).
59.56/59.77	thf(cartprodfstin, axiom, (cartprodfstin<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>in @ (kfst @ X18) @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodfstin)).
59.56/59.77	thf(setukpairinjL2, axiom, (setukpairinjL2<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset))=>(X2)=(X14))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairinjL2)).
59.56/59.77	thf(setukpairinjL, axiom, (setukpairinjL<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((kpair @ X2 @ X3)=(kpair @ X14 @ X18)=>(X2)=(X14))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairinjL)).
59.56/59.77	thf(setukpairinjR11, axiom, (setukpairinjR11<=>![X2:$i, X3:$i]:((X2)=(X3)=>(setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairinjR11)).
59.56/59.77	thf(setukpairinjR12, axiom, (setukpairinjR12<=>![X2:$i, X3:$i]:((X2)=(X3)=>(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairinjR12)).
59.56/59.77	thf(setukpairinjR1, axiom, (setukpairinjR1<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset))=>((X14)=(X18)=>(X3)=(X18)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairinjR1)).
59.56/59.77	thf(upairequniteq, axiom, (upairequniteq<=>![X2:$i, X3:$i, X14:$i]:((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairequniteq)).
59.56/59.77	thf(setukpairinjR2, axiom, (setukpairinjR2<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset))=>(X3)=(X18))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairinjR2)).
59.56/59.77	thf(setukpairinjR, axiom, (setukpairinjR<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((kpair @ X2 @ X3)=(kpair @ X14 @ X18)=>(X3)=(X18))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairinjR)).
59.56/59.77	thf(ksndsingleton, axiom, (ksndsingleton<=>![X18:$i]:(iskpair @ X18=>singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(X18)=(kpair @ (kfst @ X18) @ X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ksndsingleton)).
59.56/59.77	thf(ksndpairEq, axiom, (ksndpairEq<=>![X2:$i, X3:$i]:(ksnd @ (kpair @ X2 @ X3))=(X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ksndpairEq)).
59.56/59.77	thf(kpairsurjEq, axiom, (kpairsurjEq<=>![X18:$i]:(iskpair @ X18=>(kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', kpairsurjEq)).
59.56/59.77	thf(cartprodsndin, axiom, (cartprodsndin<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>in @ (ksnd @ X18) @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodsndin)).
59.56/59.77	thf(cartprodpairmemEL, axiom, (cartprodpairmemEL<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5)=>in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodpairmemEL)).
59.56/59.77	thf(cartprodpairmemER, axiom, (cartprodpairmemER<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5)=>in @ X3 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodpairmemER)).
59.56/59.77	thf(cartprodmempaircEq, axiom, (cartprodmempaircEq<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(kpair @ X2 @ X3)=(kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodmempaircEq)).
59.56/59.77	thf(cartprodfstpairEq, axiom, (cartprodfstpairEq<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodfstpairEq)).
59.56/59.77	thf(cartprodsndpairEq, axiom, (cartprodsndpairEq<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodsndpairEq)).
59.56/59.77	thf(cartprodpairsurjEq, axiom, (cartprodpairsurjEq<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>(kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodpairsurjEq)).
59.56/59.77	thf(dpsetconstrI, axiom, (dpsetconstrI<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(X22 @ X2 @ X3=>in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X22 @ X14 @ X18)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dpsetconstrI)).
59.56/59.77	thf(dpsetconstrSub, axiom, (dpsetconstrSub<=>![X4:$i, X5:$i, X23:$i > $i > $o]:subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:X23 @ X2 @ X3)) @ (cartprod @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dpsetconstrSub)).
59.56/59.77	thf(dpsetconstrERa, axiom, (dpsetconstrERa<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X25 @ X14 @ X18))=>X25 @ X2 @ X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dpsetconstrERa)).
59.56/59.77	thf(dpsetconstrEL1, axiom, (dpsetconstrEL1<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X26 @ X14 @ X18))=>in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dpsetconstrEL1)).
59.56/59.77	thf(dpsetconstrEL2, axiom, (dpsetconstrEL2<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X27 @ X14 @ X18))=>in @ X3 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dpsetconstrEL2)).
59.56/59.77	thf(dpsetconstrER, axiom, (dpsetconstrER<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X28 @ X14 @ X18))=>X28 @ X2 @ X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dpsetconstrER)).
59.56/59.77	thf(funcImageSingleton, axiom, (funcImageSingleton<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>singleton @ (dsetconstr @ X5 @ (^[X3:$i]:in @ (kpair @ X2 @ X3) @ X29))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', funcImageSingleton)).
59.56/59.77	thf(apProp, axiom, (apProp<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:in @ (kpair @ X2 @ X3) @ X29))) @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apProp)).
59.56/59.77	thf(app, axiom, (app<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', app)).
59.56/59.77	thf(infuncsetfunc, axiom, (infuncsetfunc<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>func @ X4 @ X5 @ X29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', infuncsetfunc)).
59.56/59.77	thf(ap2p, axiom, (ap2p<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X2:$i]:(in @ X2 @ X4=>in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ap2p)).
59.56/59.77	thf(funcinfuncset, axiom, (funcinfuncset<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>in @ X29 @ (funcSet @ X4 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', funcinfuncset)).
59.56/59.77	thf(lamProp, axiom, (lamProp<=>![X4:$i, X5:$i, X30:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X30 @ X2) @ X5)=>func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(X30 @ X2)=(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', lamProp)).
59.56/59.77	thf(lamp, axiom, (lamp<=>![X4:$i, X5:$i, X31:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X31 @ X2) @ X5)=>func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:X31 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', lamp)).
59.56/59.77	thf(lam2p, axiom, (lam2p<=>![X4:$i, X5:$i, X32:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X32 @ X2) @ X5)=>in @ (lam @ X4 @ X5 @ (^[X2:$i]:X32 @ X2)) @ (funcSet @ X4 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', lam2p)).
59.56/59.77	thf(funcGraphProp1, axiom, (funcGraphProp1<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', funcGraphProp1)).
59.56/59.77	thf(funcGraphProp3, axiom, (funcGraphProp3<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X2:$i]:(in @ X2 @ X4=>in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', funcGraphProp3)).
59.56/59.77	thf(funcGraphProp2, axiom, (funcGraphProp2<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X29=>(ap @ X4 @ X5 @ X29 @ X2)=(X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', funcGraphProp2)).
59.56/59.77	thf(funcextLem, axiom, (funcextLem<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X34:$i]:(func @ X4 @ X5 @ X34=>(![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X34=>in @ (kpair @ X2 @ X3) @ X29))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', funcextLem)).
59.56/59.77	thf(funcGraphProp4, axiom, (funcGraphProp4<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X29=>(ap @ X4 @ X5 @ X29 @ X2)=(X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', funcGraphProp4)).
59.56/59.77	thf(funcext, axiom, (funcext<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X34:$i]:(func @ X4 @ X5 @ X34=>(![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))=>(X29)=(X34))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', funcext)).
59.56/59.77	thf(funcext2, axiom, (funcext2<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X34:$i]:(in @ X34 @ (funcSet @ X4 @ X5)=>(![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))=>(X29)=(X34))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', funcext2)).
59.56/59.77	thf(ap2apEq1, axiom, (ap2apEq1<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ap2apEq1)).
59.56/59.77	thf(ap2apEq2, axiom, (ap2apEq2<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ap2apEq2)).
59.56/59.77	thf(beta1, axiom, (beta1<=>![X4:$i, X5:$i, X36:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X36 @ X2) @ X5)=>![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:X36 @ X3)) @ X2)=(X36 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', beta1)).
59.56/59.77	thf(eta1, axiom, (eta1<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>(lam @ X4 @ X5 @ (^[X2:$i]:ap @ X4 @ X5 @ X29 @ X2))=(X29))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eta1)).
59.56/59.77	thf(lam2lamEq, axiom, (lam2lamEq<=>![X4:$i, X5:$i, X37:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X37 @ X2) @ X5)=>(lam @ X4 @ X5 @ (^[X2:$i]:X37 @ X2))=(lam @ X4 @ X5 @ (^[X2:$i]:X37 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', lam2lamEq)).
59.56/59.77	thf(beta2, axiom, (beta2<=>![X4:$i, X5:$i, X38:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X38 @ X2) @ X5)=>![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:X38 @ X3)) @ X2)=(X38 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', beta2)).
59.56/59.77	thf(eta2, axiom, (eta2<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>(lam @ X4 @ X5 @ (^[X2:$i]:ap @ X4 @ X5 @ X29 @ X2))=(X29))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eta2)).
59.56/59.77	thf(iffalseProp1, axiom, (iffalseProp1<=>![X4:$i, X39:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(~(X39)=>in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((X39&(X14)=(X2))|(~(X39)&(X14)=(X3))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', iffalseProp1)).
59.56/59.77	thf(iffalseProp2, axiom, (iffalseProp2<=>![X4:$i, X40:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(~(X40)=>(dsetconstr @ X4 @ (^[X14:$i]:((X40&(X14)=(X2))|(~(X40)&(X14)=(X3)))))=(setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', iffalseProp2)).
59.56/59.77	thf(iftrueProp1, axiom, (iftrueProp1<=>![X4:$i, X41:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X41=>in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((X41&(X14)=(X2))|(~(X41)&(X14)=(X3))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', iftrueProp1)).
59.56/59.77	thf(iftrueProp2, axiom, (iftrueProp2<=>![X4:$i, X42:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X42=>(dsetconstr @ X4 @ (^[X14:$i]:((X42&(X14)=(X2))|(~(X42)&(X14)=(X3)))))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', iftrueProp2)).
59.56/59.77	thf(ifSingleton, axiom, (ifSingleton<=>![X4:$i, X43:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((X43&(X14)=(X2))|(~(X43)&(X14)=(X3)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ifSingleton)).
59.56/59.77	thf(ifp, axiom, (ifp<=>![X4:$i, X44:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>in @ (if @ X4 @ (X44) @ X2 @ X3) @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ifp)).
59.56/59.77	thf(theeq, axiom, (theeq<=>![X21:$i]:(singleton @ X21=>![X2:$i]:(in @ X2 @ X21=>(setunion @ X21)=(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', theeq)).
59.56/59.77	thf(iftrue, axiom, (iftrue<=>![X4:$i, X45:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X45=>(if @ X4 @ (X45) @ X2 @ X3)=(X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', iftrue)).
59.56/59.77	thf(iffalse, axiom, (iffalse<=>![X4:$i, X46:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(~(X46)=>(if @ X4 @ (X46) @ X2 @ X3)=(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', iffalse)).
59.56/59.77	thf(iftrueorfalse, axiom, (iftrueorfalse<=>![X4:$i, X47:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>in @ (if @ X4 @ (X47) @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', iftrueorfalse)).
59.56/59.77	thf(binintersectT_lem, axiom, (binintersectT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (binintersect @ X21 @ X48) @ (powerset @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectT_lem)).
59.56/59.77	thf(binunionT_lem, axiom, (binunionT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (binunion @ X21 @ X48) @ (powerset @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionT_lem)).
59.56/59.77	thf(powersetT_lem, axiom, (powersetT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>in @ (powerset @ X21) @ (powerset @ (powerset @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetT_lem)).
59.56/59.77	thf(setminusT_lem, axiom, (setminusT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (setminus @ X21 @ X48) @ (powerset @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusT_lem)).
59.56/59.77	thf(complementT_lem, axiom, (complementT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>in @ (setminus @ X4 @ X21) @ (powerset @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', complementT_lem)).
59.56/59.77	thf(setextT, axiom, (setextT<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>in @ X2 @ X48))=>(![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X48=>in @ X2 @ X21))=>(X21)=(X48)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setextT)).
59.56/59.77	thf(subsetTI, axiom, (subsetTI<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>in @ X2 @ X48))=>subset @ X21 @ X48)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetTI)).
59.56/59.77	thf(powersetTI1, axiom, (powersetTI1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>in @ X2 @ X48))=>in @ X21 @ (powerset @ X48))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetTI1)).
59.56/59.77	thf(powersetTE1, axiom, (powersetTE1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X21 @ (powerset @ X48)=>(in @ X2 @ X21=>in @ X2 @ X48)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetTE1)).
59.56/59.77	thf(complementTI1, axiom, (complementTI1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>~(in @ X2 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', complementTI1)).
59.56/59.77	thf(complementTE1, axiom, (complementTE1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ (setminus @ X4 @ X21))=>in @ X2 @ X21)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', complementTE1)).
59.56/59.77	thf(binintersectTELcontra, axiom, (binintersectTELcontra<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X21)=>~(in @ X2 @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectTELcontra)).
59.56/59.77	thf(binintersectTERcontra, axiom, (binintersectTERcontra<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X48)=>~(in @ X2 @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectTERcontra)).
59.56/59.77	thf(contrasubsetT, axiom, (contrasubsetT<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(subset @ X21 @ (setminus @ X4 @ X48)=>(in @ X2 @ X48=>~(in @ X2 @ X21))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', contrasubsetT)).
59.56/59.77	thf(contrasubsetT1, axiom, (contrasubsetT1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(subset @ X21 @ X48=>(~(in @ X2 @ X48)=>~(in @ X2 @ X21))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', contrasubsetT1)).
59.56/59.77	thf(contrasubsetT2, axiom, (contrasubsetT2<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(subset @ X21 @ X48=>subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', contrasubsetT2)).
59.56/59.77	thf(contrasubsetT3, axiom, (contrasubsetT3<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21)=>subset @ X21 @ X48)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', contrasubsetT3)).
59.56/59.77	thf(doubleComplementI1, axiom, (doubleComplementI1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', doubleComplementI1)).
59.56/59.77	thf(doubleComplementE1, axiom, (doubleComplementE1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21))=>in @ X2 @ X21)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', doubleComplementE1)).
59.56/59.77	thf(doubleComplementSub1, axiom, (doubleComplementSub1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>subset @ X21 @ (setminus @ X4 @ (setminus @ X4 @ X21)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', doubleComplementSub1)).
59.56/59.77	thf(doubleComplementSub2, axiom, (doubleComplementSub2<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>subset @ (setminus @ X4 @ (setminus @ X4 @ X21)) @ X21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', doubleComplementSub2)).
59.56/59.77	thf(c_0_252, axiom, (replAx)=(![X6:$i > $i > $o, X4:$i]:(![X2:$i]:(in @ X2 @ X4=>?[X815:$i]:(X6 @ X2 @ X815&![X817:$i]:(X6 @ X2 @ X817=>(X815)=(X817))))=>?[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))), inference(apply_def,[status(thm)],[replAx, exu])).
59.56/59.77	thf(c_0_253, axiom, (descrp)=(![X1:$i > $o]:(?[X818:$i]:(X1 @ X818&![X819:$i]:(X1 @ X819=>(X818)=(X819)))=>X1 @ (descr @ (^[X2:$i]:X1 @ X2)))), inference(apply_def,[status(thm)],[descrp, exu])).
59.56/59.77	thf(c_0_254, axiom, (exuE1)=(![X1:$i > $o]:(?[X820:$i]:(X1 @ X820&![X821:$i]:(X1 @ X821=>(X820)=(X821)))=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuE1, exu])).
59.56/59.77	thf(c_0_255, axiom, (exuE3e)=(![X1:$i > $o]:(?[X822:$i]:(X1 @ X822&![X823:$i]:(X1 @ X823=>(X822)=(X823)))=>?[X2:$i]:X1 @ X2)), inference(apply_def,[status(thm)],[exuE3e, exu])).
59.56/59.77	thf(c_0_256, axiom, (nonemptyE1)=(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:in @ X2 @ X4)), inference(apply_def,[status(thm)],[nonemptyE1, nonempty])).
59.56/59.77	thf(c_0_257, axiom, (nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))!=(emptyset)))), inference(apply_def,[status(thm)],[nonemptyI, nonempty])).
59.56/59.77	thf(c_0_258, axiom, (nonemptyI1)=(![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>(X4)!=(emptyset))), inference(apply_def,[status(thm)],[nonemptyI1, nonempty])).
59.56/59.77	thf(c_0_259, axiom, (exuE2)=(![X1:$i > $o]:(?[X824:$i]:(X1 @ X824&![X825:$i]:(X1 @ X825=>(X824)=(X825)))=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))), inference(apply_def,[status(thm)],[exuE2, exu])).
59.56/59.77	thf(c_0_260, axiom, (nonemptyImpWitness)=(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:(in @ X2 @ X4&$true))), inference(apply_def,[status(thm)],[nonemptyImpWitness, nonempty])).
59.56/59.77	thf(c_0_261, axiom, (exuI1)=(![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>?[X826:$i]:(X1 @ X826&![X827:$i]:(X1 @ X827=>(X826)=(X827))))), inference(apply_def,[status(thm)],[exuI1, exu])).
59.56/59.77	thf(c_0_262, axiom, (exuI3)=(![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>?[X828:$i]:(X1 @ X828&![X829:$i]:(X1 @ X829=>(X828)=(X829)))))), inference(apply_def,[status(thm)],[exuI3, exu])).
59.56/59.77	thf(c_0_263, axiom, (exuI2)=(![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>?[X830:$i]:(X1 @ X830&![X831:$i]:(X1 @ X831=>(X830)=(X831))))), inference(apply_def,[status(thm)],[exuI2, exu])).
59.56/59.77	thf(c_0_264, axiom, (exuE3u)=(![X1:$i > $o]:(?[X832:$i]:(X1 @ X832&![X833:$i]:(X1 @ X833=>(X832)=(X833)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuE3u, exu])).
59.56/59.77	thf(c_0_265, axiom, (exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X834:$i]:(X1 @ X834&![X835:$i]:(X1 @ X835=>(X834)=(X835)))<=>?[X836:$i]:(X17 @ X836&![X837:$i]:(X17 @ X837=>(X836)=(X837)))))), inference(apply_def,[status(thm)],[exu__Cong, exu])).
59.56/59.77	thf(c_0_266, axiom, (exuEu)=(![X1:$i > $o]:(?[X838:$i]:(X1 @ X838&![X839:$i]:(X1 @ X839=>(X838)=(X839)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuEu, exu])).
59.56/59.77	thf(c_0_267, axiom, (descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X840:$i]:(X1 @ X840&![X841:$i]:(X1 @ X841=>(X840)=(X841)))=>(?[X842:$i]:(X17 @ X842&![X843:$i]:(X17 @ X843=>(X842)=(X843)))=>(descr @ (^[X2:$i]:X1 @ X2))=(descr @ (^[X2:$i]:X17 @ X2)))))), inference(apply_def,[status(thm)],[descr__Cong, exu])).
59.56/59.77	thf(c_0_268, axiom, (ex1E1)=(![X4:$i, X1:$i > $o]:(singleton @ (dsetconstr @ X4 @ (^[X844:$i]:X1 @ X844))=>?[X2:$i]:(in @ X2 @ X4&X1 @ X2))), inference(apply_def,[status(thm)],[ex1E1, ex1])).
59.56/59.77	thf(c_0_269, axiom, (ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(![X3:$i]:(in @ X3 @ X4=>(X1 @ X3=>(X3)=(X2)))=>singleton @ (dsetconstr @ X4 @ (^[X845:$i]:X1 @ X845)))))), inference(apply_def,[status(thm)],[ex1I, ex1])).
59.56/59.77	thf(c_0_270, 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 @ (^[X847:$i]:X1 @ X847))))), inference(apply_def,[status(thm)],[ex1I2, ex1])).
59.56/59.77	thf(c_0_271, axiom, (setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:X24 @ X2 @ X3)) @ (cartprod @ X4 @ X5)), inference(apply_def,[status(thm)],[setOfPairsIsBReln, breln])).
59.56/59.77	thf(c_0_272, axiom, (brelnall1)=(![X4:$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])).
59.56/59.77	thf(c_0_273, 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])).
59.56/59.77	thf(c_0_274, axiom, (ex1E2)=(![X4:$i, X1:$i > $o]:(singleton @ (dsetconstr @ X4 @ (^[X848:$i]:X1 @ X848))=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))))), inference(apply_def,[status(thm)],[ex1E2, ex1])).
59.56/59.77	thf(c_0_275, 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])).
59.56/59.77	thf(c_0_276, 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])).
59.56/59.77	thf(c_0_277, plain, ![X3:$i, X1:$i > $o]:(epred1_2 @ X1 @ X3<=>X1 @ X3), introduced(definition)).
59.56/59.77	thf(c_0_278, plain, ![X2:$i]:epred8_1 @ X2, inference(fof_simplification,[status(thm)],[introduced(definition)])).
59.56/59.77	thf(c_0_279, plain, ![X2:$i, X18:$i]:(epred7_2 @ X18 @ X2<=>in @ (setadjoin @ X2 @ emptyset) @ X18), introduced(definition)).
59.56/59.77	thf(c_0_280, plain, ![X3:$i, X2:$i, X23:$i > $i > $o]:(epred3_3 @ X23 @ X2 @ X3<=>X23 @ X2 @ X3), introduced(definition)).
59.56/59.77	thf(c_0_281, plain, ![X3:$i, X29:$i, X2:$i]:(epred6_3 @ X2 @ X29 @ X3<=>in @ (kpair @ X2 @ X3) @ X29), introduced(definition)).
59.56/59.77	thf(c_0_282, plain, ![X3:$i, X2:$i, X30:$i > $i]:(epred5_3 @ X30 @ X2 @ X3<=>(X30 @ X2)=(X3)), introduced(definition)).
59.56/59.77	thf(c_0_283, plain, ![X3:$i, X36:$i > $i]:(esk1_2 @ X36 @ X3)=(X36 @ X3), introduced(definition)).
59.56/59.77	thf(c_0_284, plain, ![X14:$i, X2:$i, X39:$o, X3:$i]:(epred4_4 @ X3 @ X39 @ X2 @ X14<=>((X39&(X14)=(X2))|(~X39&(X14)=(X3)))), inference(fof_simplification,[status(thm)],[introduced(definition)])).
59.56/59.77	thf(c_0_285, plain, ![X2:$i, X18:$i]:(epred2_2 @ X18 @ X2<=>(X18)=(kpair @ (kfst @ X18) @ X2)), introduced(definition)).
59.56/59.77	thf(c_0_286, plain, (epred9_0<=>![X4:$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)).
59.56/59.77	thf(c_0_287, 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:$i]:(in @ X2 @ X4=>?[X815:$i]:(X6 @ X2 @ X815&![X817:$i]:(X6 @ X2 @ X817=>(X815)=(X817))))=>?[X5:$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 > $o]:(?[X818:$i]:(X1 @ X818&![X819:$i]:(X1 @ X819=>(X818)=(X819)))=>X1 @ (descr @ (epred1_2 @ X1)))=>(![X4:$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 > $o]:(?[X820:$i]:(X1 @ X820&![X821:$i]:(X1 @ X821=>(X820)=(X821)))=>?[X2:$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 > $o]:(?[X822:$i]:(X1 @ X822&![X823:$i]:(X1 @ X823=>(X822)=(X823)))=>?[X2:$i]:X1 @ X2)=>(![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>(X4)=(X5)))=>(![X4:$i]:(![X2:$i]:~in @ X2 @ X4=>(X4)=(emptyset))=>(![X4:$i]:(![X2:$i]:~in @ X2 @ X4=>(X4)=(emptyset))=>(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (dsetconstr @ X4 @ (epred1_2 @ X1))<=>X1 @ X2))=>(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:in @ X2 @ X4)=>(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(dsetconstr @ X4 @ (epred1_2 @ X1))!=(emptyset)))=>(![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>(X4)!=(emptyset))=>(![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ X3)=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset)=>(![X2:$i, X4:$i, X3:$i]:(in @ X3 @ X4=>in @ X3 @ (setadjoin @ X2 @ X4))=>(![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>![X12:$o]:(((X3)=(X2)=>X12)=>((in @ X3 @ X4=>X12)=>X12)))=>(![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>((X3)=(X2)|in @ X3 @ X4))=>(![X4:$i]:(dsetconstr @ X4 @ epred8_1)=(X4)=>(![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>in @ X5 @ (powerset @ X4))=>(![X4:$i]:in @ emptyset @ (powerset @ X4)=>(![X4:$i]:in @ emptyset @ (powerset @ X4)=>(![X4:$i, X5:$i, X2:$i]:(in @ X5 @ (powerset @ X4)=>(in @ X2 @ X5=>in @ X2 @ X4))=>(![X4:$i, X2:$i, X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>in @ X2 @ (setunion @ X4)))=>(![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)=>![X13:$o]:(![X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>X13))=>X13))=>(![X4:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (powerset @ (setunion @ X4)))=>(![X1:$i > $o]:(?[X824:$i]:(X1 @ X824&![X825:$i]:(X1 @ X825=>(X824)=(X825)))=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))=>(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:in @ X2 @ X4)=>(![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>(X2)=(X3))=>(![X2:$i, X3:$i]:((X2)!=(X3)=>~in @ X3 @ (setadjoin @ X2 @ emptyset))=>(![X2:$i, X3:$i]:((X2)=(X3)=>in @ X2 @ (setadjoin @ X3 @ emptyset))=>(![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>in @ X3 @ (setadjoin @ X2 @ emptyset))=>(![X2:$i, X3:$i, X14:$i]:(in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>((X14)=(X2)|(X14)=(X3)))=>(![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>(![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>(![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>(dsetconstr @ X4 @ (epred1_2 @ X1))!=(emptyset))=>(![X1:$i > $o, X2:$i]:(in @ X2 @ emptyset=>X1 @ X2)=>(![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~X1 @ X2))=>(![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>~X1 @ X2)=>~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)))=>(![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~X1 @ X2))=>(![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&~X1 @ X2)=>~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2)))=>(![X15:$o]:(X15=>((~X15|in @ emptyset @ (prop2set @ $true))&(X15|in @ emptyset @ (prop2set @ $false))))=>(![X16:$o]:(X16=>((~X16|set2prop @ (prop2set @ $true))&(X16|set2prop @ (prop2set @ $false))))=>(![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~X1 @ X2))=>(![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~X1 @ X2))=>(![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>?[X826:$i]:(X1 @ X826&![X827:$i]:(X1 @ X827=>(X826)=(X827))))=>(![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>?[X828:$i]:(X1 @ X828&![X829:$i]:(X1 @ X829=>(X828)=(X829)))))=>(![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>?[X830:$i]:(X1 @ X830&![X831:$i]:(X1 @ X831=>(X830)=(X831))))=>(![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4=>in @ X3 @ X5)))=>(![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4<=>in @ X3 @ X5)))=>(![X1:$i > $o]:(?[X832:$i]:(X1 @ X832&![X833:$i]:(X1 @ X833=>(X832)=(X833)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))=>(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X834:$i]:(X1 @ X834&![X835:$i]:(X1 @ X835=>(X834)=(X835)))<=>?[X836:$i]:(X17 @ X836&![X837:$i]:(X17 @ X837=>(X836)=(X837)))))=>((emptyset)=(emptyset)=>(![X2:$i, X3:$i]:((X2)=(X3)=>![X14:$i, X18:$i]:((X14)=(X18)=>(setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18)))=>(![X4:$i, X5:$i]:((X4)=(X5)=>(powerset @ X4)=(powerset @ X5))=>(![X4:$i, X5:$i]:((X4)=(X5)=>(setunion @ X4)=(setunion @ X5))=>((omega)=(omega)=>(![X1:$i > $o]:(?[X838:$i]:(X1 @ X838&![X839:$i]:(X1 @ X839=>(X838)=(X839)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))=>(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X840:$i]:(X1 @ X840&![X841:$i]:(X1 @ X841=>(X840)=(X841)))=>(?[X842:$i]:(X17 @ X842&![X843:$i]:(X17 @ X843=>(X842)=(X843)))=>(descr @ (epred1_2 @ X1))=(descr @ (epred1_2 @ X17)))))=>(![X4:$i, X5:$i]:((X4)=(X5)=>![X1:$i > $o, X17:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))))=>(dsetconstr @ X4 @ (epred1_2 @ X1))=(dsetconstr @ X5 @ (epred1_2 @ X17))))=>(![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)=>(![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X5 @ X4)=>(![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X4 @ X5)=>(![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ 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y_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[doubleComplementEq]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_252]), foundationAx]), wellorderingAx]), c_0_253]), dsetconstrI]), dsetconstrEL]), dsetconstrER]), c_0_254]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_255]), setext]), emptyI]), noeltsimpempty]), setbeta]), c_0_256]), c_0_257]), c_0_258]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), setoftrueEq]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_259]), c_0_260]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), emptyE1]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_261]), c_0_262]), c_0_263]), inCongP]), in__Cong]), c_0_264]), c_0_265]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_266]), c_0_267]), 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_268]), c_0_269]), c_0_270]), 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_271]), dpsetconstrERa]), dpsetconstrEL1]), dpsetconstrEL2]), dpsetconstrER]), funcImageSingleton]), apProp]), app]), infuncsetfunc]), ap2p]), funcinfuncset]), lamProp]), lamp]), lam2p]), c_0_272]), c_0_273]), c_0_274]), funcGraphProp1]), funcGraphProp3]), funcGraphProp2]), funcextLem]), funcGraphProp4]), c_0_275]), c_0_276]), 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]), c_0_277]), c_0_277]), c_0_277]), c_0_277]), c_0_278]), c_0_277]), c_0_277]), c_0_277]), c_0_277]), c_0_277]), c_0_277]), c_0_277]), c_0_279]), c_0_280]), c_0_280]), c_0_280]), c_0_280]), c_0_281]), c_0_281]), c_0_282]), c_0_283]), c_0_283]), c_0_283]), c_0_283]), c_0_283]), c_0_283]), c_0_284]), c_0_284]), c_0_284]), c_0_284]), c_0_284]), c_0_283]), c_0_283]), c_0_277]), c_0_280]), c_0_280]), c_0_280]), c_0_285]), c_0_277]), c_0_277]), c_0_277]), c_0_277]), c_0_277]), c_0_277])])]), c_0_286])).
59.56/59.77	thf(c_0_288, negated_conjecture, ![X849:$i, X850:$i, X852:$i, X853:$i, X854:$i, X855:$i, X856:$i, X857:$i, X858:$i, X859:$i, X860:$i, X862:$i, X863:$i, X865:$i, X866:$i, X867:$i, X868:$i, X869:$i, X871:$i, X872:$i > $i > $o, X873:$i, X875:$i, X878:$i, X880:$i, X881:$i, X882:$i, X883:$i, X885:$i, X886:$i > $o, X887:$i, X889:$i, X890:$i > $o, X891:$i, X892:$i, X893:$i > $o, X894:$i, X895:$i, X896:$i > $o, X897:$i, X898:$i > $o, X899:$i, X902:$i, X903:$o, X904:$i, X905:$i, X906:$o, X907:$i, X908:$i, X909:$i > $o, X910:$i, X913:$i, X914:$i, X917:$i, X919:$i, X921:$i, X922:$i > $o, X923:$i, X924:$i, X926:$i, X927:$i > $o, X928:$i, X929:$i, X930:$i, X931:$i, X932:$i, X933:$i, X934:$i, X935:$i, X936:$i, X937:$i, X938:$i, X939:$o, X940:$i, X941:$i, X942:$i, X943:$i, X944:$i, X945:$i, X947:$i, X948:$i, X949:$i, X950:$i, X951:$i, X952:$i, X953:$i, X954:$i, X955:$i, X956:$i, X957:$o, X959:$i, X960:$i, X961:$i > $o, X962:$i, X965:$i, X966:$i, X967:$i, X969:$i, X970:$i, X971:$i, X972:$i, X973:$i, X974:$i, X975:$i, X976:$i, X977:$i, X978:$i, X979:$i, X980:$i, X981:$i, X982:$i, X983:$i, X984:$i, X985:$i > $o, X986:$i, X987:$i > $o, X988:$i, X989:$i, X990:$i > $o, X991:$i, X993:$i, X994:$i > $o, X996:$i, X997:$i, X998:$i > $o, X1000:$i, X1001:$i, X1002:$i > $o, X1003:$i, X1005:$o, X1006:$o, X1007:$i, X1008:$i > $o, X1010:$i, X1011:$i, X1012:$i > $o, X1013:$i, X1015:$i > $o, X1016:$i, X1019:$i, X1020:$i > $o, X1021:$i, X1025:$i, X1026:$i > $o, X1027:$i, X1030:$i, X1031:$i, X1032:$i, X1033:$i, X1034:$i, X1035:$i, X1036:$i, X1037:$i, X1038:$i, X1039:$i > $o, X1040:$i, X1042:$i, X1043:$i, X1044:$i > $o, X1045:$i > $o, X1048:$i, X1051:$i, X1052:$i, X1055:$i, X1056:$i, X1057:$i, X1058:$i, X1059:$i, X1060:$i, X1061:$i, X1062:$i, X1063:$i, X1064:$i > $o, X1065:$i, X1067:$i, X1068:$i, X1069:$i > $o, X1070:$i > $o, X1073:$i, X1075:$i, X1077:$i, X1078:$i, X1079:$i > $o, X1080:$i > $o, X1083:$i, X1084:$i, X1086:$i, X1087:$i, X1088:$i, X1089:$i, X1090:$i, X1091:$i, X1093:$i, X1094:$i, X1095:$i, X1096:$i, X1097:$i, X1098:$i, X1099:$i, X1100:$i, X1101:$i, X1102:$i, X1103:$i, X1104:$i, X1105:$i, X1106:$i, X1107:$i, X1108:$i, X1109:$i, X1110:$i, X1111:$i, X1112:$i, X1113:$i, X1114:$i, X1115:$i, X1116:$i, X1117:$i, X1118:$i, X1119:$i, X1120:$i, X1121:$i, X1122:$i, X1123:$i, X1124:$i, X1125:$i, X1126:$i, X1127:$i, X1128:$i, X1129:$i, X1130:$i > $o, X1131:$i, X1132:$i > $o, X1133:$i, X1134:$i, X1135:$i, X1136:$i, X1137:$i, X1138:$i, X1139:$i, X1140:$i, X1141:$i, X1142:$i, X1143:$i, X1144:$o, X1145:$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, X1173:$i, X1174:$i, X1175:$i, X1176:$i, X1177:$i, X1178:$i, X1179:$i, X1180:$i, X1181:$i, X1182:$i, X1183:$i, X1184:$i, X1185:$i, X1186:$i, X1187:$i, X1188:$i, X1189:$i, X1190:$i, X1191:$i, X1192:$i, X1193:$i, X1194:$i, X1195:$i, X1196:$i, X1197:$i, X1198:$i, X1199:$i, X1200:$i, X1201:$i, X1202:$i, X1203:$i, X1204:$i, X1205:$i, X1206:$i, X1207:$i, X1208:$i, X1209:$i, X1210:$i, X1211:$i, X1212:$o, X1213:$i, X1214:$i, X1215:$i, X1216:$i, X1217:$i, X1218:$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:$i, X1258:$i, X1259:$i, X1260:$i, X1261:$i, X1262:$i, X1263:$i, X1264:$i, X1265:$i, X1266:$i, X1267:$i, X1268:$i, X1269:$i, X1270:$i, X1271:$i, X1274:$i, X1275:$i, X1276:$i, X1277:$i, X1278:$i, X1280:$i, X1281:$i, X1282:$i, X1283:$i, X1284:$i > $o, X1287:$i, X1288:$i, X1289:$i > $o, X1291:$i, X1292:$i > $o, X1293:$i, X1295:$i, X1296:$i > $o, X1299:$i, X1300:$i, X1301:$i, X1302:$i, X1303:$i, X1304:$i, X1305:$i, X1306:$i, X1307:$i, X1308:$i, X1309:$i, X1310:$i, X1311:$i, X1312:$i, X1313:$i, X1314:$i, X1315:$i, X1316:$i, X1317:$i, X1318:$i, X1319:$i, X1320:$i, X1321:$i, X1322:$i, X1323:$i, X1324:$i, X1325:$i, X1326:$i, X1327:$i, X1328:$i, X1329:$i, X1330:$i, X1331:$i, X1332:$i, X1333:$i, X1334:$i, X1335:$i, X1336:$i, X1337:$i, X1338:$i, X1339:$i, X1340:$i, X1341:$i, X1342:$i, X1343:$i, X1344:$i, X1345:$i, X1346:$i, X1347:$i, X1348:$i, X1349:$i, X1350:$i, X1351:$i, X1352:$i, X1353:$i, X1354:$i, X1355:$i, X1356:$i, X1357:$i, X1358:$i, X1359:$i, X1360:$i, X1361:$i, X1362:$i, X1363:$i, X1364:$i, X1365:$i, X1366:$i, X1367:$i, X1368:$i, X1369:$i, X1370:$i, X1371:$i > $i > $o, X1372:$i, X1373:$i, X1374:$i, X1375:$i, X1376:$i > $i > $o, X1377:$i, X1378:$i, X1379:$i > $i > $o, X1380:$i, X1381:$i, X1382:$i > $i > $o, X1383:$i, X1384:$i, X1385:$i, X1386:$i, X1387:$i > $i > $o, X1388:$i, X1389:$i, X1390:$i, X1391:$i, X1392:$i > $i > $o, X1393:$i, X1394:$i, 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X1020)|~X1020 @ X1021))))&((((X1026 @ (esk38_1 @ X1026)|(~X1026 @ (esk37_2 @ X1026 @ X1027)|(esk37_2 @ X1026 @ X1027)!=(X1027)))&(~X1026 @ X1030|(esk38_1 @ X1026)=(X1030)|(~X1026 @ (esk37_2 @ X1026 @ X1027)|(esk37_2 @ X1026 @ X1027)!=(X1027))))&((X1026 @ (esk38_1 @ X1026)|(X1026 @ (esk37_2 @ X1026 @ X1027)|(esk37_2 @ X1026 @ X1027)=(X1027)))&(~X1026 @ X1030|(esk38_1 @ X1026)=(X1030)|(X1026 @ (esk37_2 @ X1026 @ X1027)|(esk37_2 @ X1026 @ X1027)=(X1027)))))&(((X1031)!=(X1032)|((X1033)!=(X1034)|(~in @ X1033 @ X1031|in @ X1034 @ X1032)))&(((~in @ X1037 @ X1035|in @ X1038 @ X1036|(X1037)!=(X1038)|(X1035)!=(X1036))&(~in @ X1038 @ X1036|in @ X1037 @ X1035|(X1037)!=(X1038)|(X1035)!=(X1036)))&(((X1039 @ (esk39_2 @ X1039 @ X1040)|~X1039 @ X1040|(~X1039 @ X1042|(~X1039 @ X1043|(X1042)=(X1043))))&((X1040)!=(esk39_2 @ X1039 @ X1040)|~X1039 @ X1040|(~X1039 @ X1042|(~X1039 @ X1043|(X1042)=(X1043)))))&((((((X1045 @ (esk43_2 @ X1044 @ X1045)|(X1044 @ (esk42_3 @ X1044 @ X1045 @ X1048)|~X1044 @ X1048)|(esk40_2 @ X1044 @ X1045)=(esk41_2 @ X1044 @ X1045))&(~X1045 @ X1051|(esk43_2 @ X1044 @ X1045)=(X1051)|(X1044 @ (esk42_3 @ X1044 @ X1045 @ X1048)|~X1044 @ X1048)|(esk40_2 @ X1044 @ X1045)=(esk41_2 @ X1044 @ X1045)))&((X1045 @ (esk43_2 @ X1044 @ X1045)|((X1048)!=(esk42_3 @ X1044 @ X1045 @ X1048)|~X1044 @ X1048)|(esk40_2 @ X1044 @ X1045)=(esk41_2 @ X1044 @ X1045))&(~X1045 @ X1051|(esk43_2 @ X1044 @ X1045)=(X1051)|((X1048)!=(esk42_3 @ X1044 @ X1045 @ X1048)|~X1044 @ X1048)|(esk40_2 @ X1044 @ X1045)=(esk41_2 @ X1044 @ X1045))))&(((X1044 @ (esk45_2 @ X1044 @ X1045)|(X1045 @ (esk44_3 @ X1044 @ X1045 @ X1052)|~X1045 @ X1052)|(esk40_2 @ X1044 @ X1045)=(esk41_2 @ X1044 @ X1045))&(~X1044 @ X1055|(esk45_2 @ X1044 @ X1045)=(X1055)|(X1045 @ (esk44_3 @ X1044 @ X1045 @ X1052)|~X1045 @ X1052)|(esk40_2 @ X1044 @ X1045)=(esk41_2 @ X1044 @ X1045)))&((X1044 @ (esk45_2 @ X1044 @ X1045)|((X1052)!=(esk44_3 @ X1044 @ X1045 @ X1052)|~X1045 @ X1052)|(esk40_2 @ X1044 @ X1045)=(esk41_2 @ X1044 @ X1045))&(~X1044 @ X1055|(esk45_2 @ X1044 @ X1045)=(X1055)|((X1052)!=(esk44_3 @ X1044 @ X1045 @ X1052)|~X1045 @ X1052)|(esk40_2 @ X1044 @ X1045)=(esk41_2 @ X1044 @ X1045)))))&(((((X1045 @ (esk43_2 @ X1044 @ X1045)|(X1044 @ (esk42_3 @ X1044 @ X1045 @ X1048)|~X1044 @ X1048)|(~X1044 @ (esk40_2 @ X1044 @ X1045)|~X1045 @ (esk41_2 @ X1044 @ X1045)))&(~X1045 @ X1051|(esk43_2 @ X1044 @ X1045)=(X1051)|(X1044 @ (esk42_3 @ X1044 @ X1045 @ X1048)|~X1044 @ X1048)|(~X1044 @ (esk40_2 @ X1044 @ X1045)|~X1045 @ (esk41_2 @ X1044 @ X1045))))&((X1045 @ (esk43_2 @ X1044 @ X1045)|((X1048)!=(esk42_3 @ X1044 @ X1045 @ X1048)|~X1044 @ X1048)|(~X1044 @ (esk40_2 @ X1044 @ X1045)|~X1045 @ (esk41_2 @ X1044 @ X1045)))&(~X1045 @ X1051|(esk43_2 @ X1044 @ X1045)=(X1051)|((X1048)!=(esk42_3 @ X1044 @ X1045 @ X1048)|~X1044 @ X1048)|(~X1044 @ (esk40_2 @ X1044 @ X1045)|~X1045 @ (esk41_2 @ X1044 @ X1045)))))&(((X1044 @ (esk45_2 @ X1044 @ X1045)|(X1045 @ (esk44_3 @ X1044 @ X1045 @ X1052)|~X1045 @ X1052)|(~X1044 @ (esk40_2 @ X1044 @ X1045)|~X1045 @ (esk41_2 @ X1044 @ X1045)))&(~X1044 @ X1055|(esk45_2 @ X1044 @ X1045)=(X1055)|(X1045 @ (esk44_3 @ X1044 @ X1045 @ X1052)|~X1045 @ X1052)|(~X1044 @ (esk40_2 @ X1044 @ X1045)|~X1045 @ (esk41_2 @ X1044 @ X1045))))&((X1044 @ (esk45_2 @ X1044 @ X1045)|((X1052)!=(esk44_3 @ X1044 @ X1045 @ X1052)|~X1045 @ X1052)|(~X1044 @ (esk40_2 @ X1044 @ X1045)|~X1045 @ (esk41_2 @ X1044 @ X1045)))&(~X1044 @ X1055|(esk45_2 @ X1044 @ X1045)=(X1055)|((X1052)!=(esk44_3 @ X1044 @ X1045 @ X1052)|~X1045 @ X1052)|(~X1044 @ (esk40_2 @ X1044 @ X1045)|~X1045 @ (esk41_2 @ X1044 @ X1045))))))&((((X1045 @ (esk43_2 @ X1044 @ X1045)|(X1044 @ (esk42_3 @ X1044 @ X1045 @ X1048)|~X1044 @ X1048)|(X1044 @ (esk40_2 @ X1044 @ X1045)|X1045 @ (esk41_2 @ X1044 @ X1045)))&(~X1045 @ X1051|(esk43_2 @ X1044 @ X1045)=(X1051)|(X1044 @ (esk42_3 @ X1044 @ X1045 @ X1048)|~X1044 @ X1048)|(X1044 @ (esk40_2 @ X1044 @ X1045)|X1045 @ (esk41_2 @ X1044 @ X1045))))&((X1045 @ (esk43_2 @ X1044 @ X1045)|((X1048)!=(esk42_3 @ X1044 @ X1045 @ X1048)|~X1044 @ X1048)|(X1044 @ (esk40_2 @ X1044 @ X1045)|X1045 @ (esk41_2 @ X1044 @ X1045)))&(~X1045 @ X1051|(esk43_2 @ X1044 @ X1045)=(X1051)|((X1048)!=(esk42_3 @ X1044 @ X1045 @ X1048)|~X1044 @ X1048)|(X1044 @ (esk40_2 @ X1044 @ X1045)|X1045 @ (esk41_2 @ X1044 @ X1045)))))&(((X1044 @ (esk45_2 @ X1044 @ X1045)|(X1045 @ (esk44_3 @ X1044 @ X1045 @ X1052)|~X1045 @ X1052)|(X1044 @ (esk40_2 @ X1044 @ X1045)|X1045 @ (esk41_2 @ X1044 @ X1045)))&(~X1044 @ X1055|(esk45_2 @ X1044 @ X1045)=(X1055)|(X1045 @ (esk44_3 @ X1044 @ X1045 @ X1052)|~X1045 @ X1052)|(X1044 @ (esk40_2 @ X1044 @ X1045)|X1045 @ (esk41_2 @ X1044 @ X1045))))&((X1044 @ (esk45_2 @ X1044 @ X1045)|((X1052)!=(esk44_3 @ X1044 @ X1045 @ X1052)|~X1045 @ X1052)|(X1044 @ (esk40_2 @ X1044 @ X1045)|X1045 @ (esk41_2 @ X1044 @ X1045)))&(~X1044 @ X1055|(esk45_2 @ X1044 @ X1045)=(X1055)|((X1052)!=(esk44_3 @ X1044 @ X1045 @ X1052)|~X1045 @ X1052)|(X1044 @ (esk40_2 @ X1044 @ X1045)|X1045 @ (esk41_2 @ X1044 @ X1045))))))))&((emptyset)=(emptyset)&(((X1056)!=(X1057)|((X1058)!=(X1059)|(setadjoin @ X1056 @ X1058)=(setadjoin @ X1057 @ X1059)))&(((X1060)!=(X1061)|(powerset @ X1060)=(powerset @ X1061))&(((X1062)!=(X1063)|(setunion @ X1062)=(setunion @ X1063))&((omega)=(omega)&(((X1064 @ (esk46_2 @ X1064 @ X1065)|~X1064 @ X1065|(~X1064 @ X1067|(~X1064 @ X1068|(X1067)=(X1068))))&((X1065)!=(esk46_2 @ X1064 @ X1065)|~X1064 @ X1065|(~X1064 @ X1067|(~X1064 @ X1068|(X1067)=(X1068)))))&(((((X1070 @ (esk50_3 @ X1069 @ X1070 @ X1075)|~X1070 @ X1075|(descr @ (epred1_2 @ X1069))=(descr @ (epred1_2 @ X1070))|(X1069 @ (esk49_3 @ X1069 @ X1070 @ X1073)|~X1069 @ X1073)|(esk47_2 @ X1069 @ X1070)=(esk48_2 @ X1069 @ X1070))&((X1075)!=(esk50_3 @ X1069 @ X1070 @ X1075)|~X1070 @ X1075|(descr @ (epred1_2 @ X1069))=(descr @ (epred1_2 @ X1070))|(X1069 @ (esk49_3 @ X1069 @ X1070 @ X1073)|~X1069 @ X1073)|(esk47_2 @ X1069 @ X1070)=(esk48_2 @ X1069 @ X1070)))&((X1070 @ (esk50_3 @ X1069 @ X1070 @ X1075)|~X1070 @ X1075|(descr @ (epred1_2 @ X1069))=(descr @ (epred1_2 @ X1070))|((X1073)!=(esk49_3 @ X1069 @ X1070 @ X1073)|~X1069 @ X1073)|(esk47_2 @ X1069 @ X1070)=(esk48_2 @ X1069 @ X1070))&((X1075)!=(esk50_3 @ X1069 @ X1070 @ X1075)|~X1070 @ X1075|(descr @ (epred1_2 @ X1069))=(descr @ (epred1_2 @ X1070))|((X1073)!=(esk49_3 @ X1069 @ X1070 @ X1073)|~X1069 @ X1073)|(esk47_2 @ X1069 @ X1070)=(esk48_2 @ X1069 @ X1070))))&((((X1070 @ (esk50_3 @ X1069 @ X1070 @ X1075)|~X1070 @ X1075|(descr @ (epred1_2 @ X1069))=(descr @ (epred1_2 @ X1070))|(X1069 @ (esk49_3 @ X1069 @ X1070 @ X1073)|~X1069 @ X1073)|(~X1069 @ (esk47_2 @ X1069 @ X1070)|~X1070 @ (esk48_2 @ X1069 @ X1070)))&((X1075)!=(esk50_3 @ X1069 @ X1070 @ X1075)|~X1070 @ X1075|(descr @ (epred1_2 @ X1069))=(descr @ (epred1_2 @ X1070))|(X1069 @ (esk49_3 @ X1069 @ X1070 @ X1073)|~X1069 @ X1073)|(~X1069 @ (esk47_2 @ X1069 @ X1070)|~X1070 @ (esk48_2 @ X1069 @ X1070))))&((X1070 @ (esk50_3 @ X1069 @ X1070 @ X1075)|~X1070 @ X1075|(descr @ (epred1_2 @ X1069))=(descr @ (epred1_2 @ X1070))|((X1073)!=(esk49_3 @ X1069 @ X1070 @ X1073)|~X1069 @ X1073)|(~X1069 @ (esk47_2 @ X1069 @ X1070)|~X1070 @ (esk48_2 @ X1069 @ X1070)))&((X1075)!=(esk50_3 @ X1069 @ X1070 @ X1075)|~X1070 @ X1075|(descr @ (epred1_2 @ X1069))=(descr @ (epred1_2 @ X1070))|((X1073)!=(esk49_3 @ X1069 @ X1070 @ X1073)|~X1069 @ X1073)|(~X1069 @ (esk47_2 @ X1069 @ X1070)|~X1070 @ (esk48_2 @ X1069 @ X1070)))))&(((X1070 @ (esk50_3 @ X1069 @ X1070 @ X1075)|~X1070 @ X1075|(descr @ (epred1_2 @ X1069))=(descr @ (epred1_2 @ X1070))|(X1069 @ (esk49_3 @ X1069 @ X1070 @ X1073)|~X1069 @ X1073)|(X1069 @ (esk47_2 @ X1069 @ X1070)|X1070 @ (esk48_2 @ X1069 @ X1070)))&((X1075)!=(esk50_3 @ X1069 @ X1070 @ X1075)|~X1070 @ X1075|(descr @ (epred1_2 @ X1069))=(descr @ (epred1_2 @ X1070))|(X1069 @ (esk49_3 @ X1069 @ X1070 @ X1073)|~X1069 @ X1073)|(X1069 @ (esk47_2 @ X1069 @ X1070)|X1070 @ (esk48_2 @ X1069 @ X1070))))&((X1070 @ (esk50_3 @ X1069 @ X1070 @ X1075)|~X1070 @ X1075|(descr @ (epred1_2 @ X1069))=(descr @ (epred1_2 @ X1070))|((X1073)!=(esk49_3 @ X1069 @ X1070 @ X1073)|~X1069 @ X1073)|(X1069 @ (esk47_2 @ X1069 @ X1070)|X1070 @ (esk48_2 @ X1069 @ X1070)))&((X1075)!=(esk50_3 @ X1069 @ X1070 @ X1075)|~X1070 @ X1075|(descr @ (epred1_2 @ X1069))=(descr @ (epred1_2 @ X1070))|((X1073)!=(esk49_3 @ X1069 @ X1070 @ X1073)|~X1069 @ X1073)|(X1069 @ (esk47_2 @ X1069 @ X1070)|X1070 @ (esk48_2 @ X1069 @ X1070)))))))&(((in @ (esk51_4 @ X1077 @ X1078 @ X1079 @ X1080) @ X1077|(dsetconstr @ X1077 @ (epred1_2 @ X1079))=(dsetconstr @ X1078 @ (epred1_2 @ X1080))|(X1077)!=(X1078))&((in @ (esk52_4 @ X1077 @ X1078 @ X1079 @ X1080) @ X1078|(dsetconstr @ X1077 @ (epred1_2 @ X1079))=(dsetconstr @ X1078 @ (epred1_2 @ X1080))|(X1077)!=(X1078))&(((esk51_4 @ X1077 @ X1078 @ X1079 @ X1080)=(esk52_4 @ X1077 @ X1078 @ X1079 @ X1080)|(dsetconstr @ X1077 @ (epred1_2 @ X1079))=(dsetconstr @ X1078 @ (epred1_2 @ X1080))|(X1077)!=(X1078))&((~X1079 @ (esk51_4 @ X1077 @ X1078 @ X1079 @ X1080)|~X1080 @ (esk52_4 @ X1077 @ X1078 @ X1079 @ X1080)|(dsetconstr @ X1077 @ (epred1_2 @ X1079))=(dsetconstr @ X1078 @ (epred1_2 @ X1080))|(X1077)!=(X1078))&(X1079 @ (esk51_4 @ X1077 @ X1078 @ X1079 @ X1080)|X1080 @ (esk52_4 @ X1077 @ X1078 @ X1079 @ X1080)|(dsetconstr @ X1077 @ (epred1_2 @ X1079))=(dsetconstr @ X1078 @ (epred1_2 @ X1080))|(X1077)!=(X1078))))))&(((in @ (esk53_2 @ X1083 @ X1084) @ X1083|subset @ X1083 @ X1084)&(~in @ (esk53_2 @ X1083 @ X1084) @ X1084|subset @ X1083 @ X1084))&(((X1086)!=(X1087)|subset @ X1087 @ X1086)&(((X1088)!=(X1089)|subset @ X1088 @ X1089)&(((in @ (esk54_2 @ X1090 @ X1091) @ X1090|subset @ X1090 @ X1091)&(~in @ (esk54_2 @ X1090 @ X1091) @ X1091|subset @ X1090 @ X1091))&(subset @ emptyset @ X1093&((~subset @ X1094 @ X1095|(~in @ X1096 @ X1094|in @ X1096 @ X1095))&((~subset @ X1097 @ X1098|(in @ X1099 @ X1098|~in @ X1099 @ X1097))&((~in @ X1102 @ X1100|(in @ X1102 @ X1101|~subset @ X1100 @ X1101))&((subset @ X1103 @ X1104|(X1103)!=(X1104))&((~in @ X1107 @ X1105|(in @ X1107 @ X1106|(X1105)!=(X1106)))&(subset @ X1108 @ X1108&((~subset @ X1109 @ X1110|(~subset @ X1110 @ X1111|subset @ X1109 @ X1111))&(subset @ X1113 @ (setadjoin @ X1112 @ X1113)&((~subset @ X1114 @ X1116|subset @ X1114 @ (setadjoin @ X1115 @ X1116))&((~subset @ X1117 @ X1118|in @ X1117 @ (powerset @ X1118))&((~subset @ X1119 @ X1120|(~subset @ X1120 @ X1119|(X1119)=(X1120)))&((~subset @ X1121 @ emptyset|(X1121)=(emptyset))&((~subset @ X1123 @ X1122|in @ X1123 @ (powerset @ X1122))&((~in @ X1125 @ (powerset @ X1124)|subset @ X1125 @ X1124)&(in @ X1126 @ (powerset @ X1126)&((~subset @ X1127 @ X1128|subset @ (powerset @ X1127) @ (powerset @ X1128))&(in @ (dsetconstr @ X1129 @ (epred1_2 @ X1130)) @ (powerset @ X1129)&(subset @ (dsetconstr @ X1131 @ (epred1_2 @ X1132)) @ X1131&((~in @ X1135 @ X1133|in @ X1135 @ (binunion @ X1133 @ X1134))&(in @ X1137 @ (setadjoin @ X1136 @ (setadjoin @ X1137 @ emptyset))&((~in @ X1140 @ X1139|in @ X1140 @ (binunion @ X1138 @ X1139))&((((in @ X1143 @ X1142|X1144|in @ X1143 @ X1141|~in @ X1143 @ (binunion @ X1141 @ X1142))&(~X1144|X1144|in @ X1143 @ X1141|~in @ X1143 @ (binunion @ X1141 @ X1142)))&((in @ X1143 @ X1142|X1144|~X1144|~in @ X1143 @ (binunion @ X1141 @ X1142))&(~X1144|X1144|~X1144|~in @ X1143 @ (binunion @ X1141 @ X1142))))&((~in @ X1147 @ (binunion @ X1145 @ X1146)|(in @ X1147 @ X1145|in @ X1147 @ X1146))&(subset @ X1148 @ (binunion @ X1148 @ X1149)&(subset @ X1151 @ (binunion @ X1150 @ X1151)&((~in @ X1154 @ X1152|(~in @ X1154 @ X1153|in @ X1154 @ (binintersect @ X1152 @ X1153)))&((~subset @ X1157 @ X1155|(~subset @ X1157 @ X1156|subset @ X1157 @ (binintersect @ X1155 @ X1156)))&((~in @ X1160 @ (binintersect @ X1158 @ X1159)|in @ X1160 @ X1158)&(subset @ (binintersect @ X1161 @ X1162) @ X1161&((~subset @ X1163 @ X1164|(binintersect @ X1163 @ X1164)=(X1163))&(((binintersect @ X1165 @ X1166)!=(X1166)|subset @ X1166 @ X1165)&((~in @ X1169 @ (binintersect @ X1167 @ X1168)|in @ X1169 @ X1168)&(((in @ (esk55_2 @ X1170 @ X1171) @ X1170|(binintersect @ X1170 @ X1171)=(emptyset))&(in @ (esk55_2 @ X1170 @ X1171) @ X1171|(binintersect @ X1170 @ X1171)=(emptyset)))&(subset @ (binintersect @ X1173 @ X1174) @ X1174&((~subset @ X1176 @ X1175|(binintersect @ X1175 @ X1176)=(X1176))&(((binintersect @ X1177 @ X1178)!=(X1177)|subset @ X1177 @ X1178)&((binintersect @ X1179 @ (binunion @ X1180 @ X1181))=(binunion @ (binintersect @ X1179 @ X1180) @ (binintersect @ X1179 @ X1181))&((~in @ X1184 @ X1182|(in @ X1184 @ X1183|in @ X1184 @ (setminus @ X1182 @ X1183)))&((~in @ X1187 @ (setminus @ X1185 @ X1186)|in @ X1187 @ X1185)&((~in @ X1190 @ (setminus @ X1188 @ X1189)|~in @ X1190 @ X1189)&((~subset @ X1191 @ X1192|(setminus @ X1191 @ X1192)=(emptyset))&((in @ X1195 @ (setminus @ X1193 @ X1194)|(~in @ X1195 @ X1193|in @ X1195 @ X1194))&((in @ X1198 @ (setminus @ X1196 @ X1197)|(in @ X1198 @ X1197|~in @ X1198 @ X1196))&((in @ X1201 @ X1199|~in @ X1201 @ (setminus @ X1199 @ X1200))&((~in @ X1204 @ X1203|~in @ X1204 @ (setminus @ 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X1477 @ X1478)))))&((((in @ (esk77_4 @ X1483 @ X1484 @ X1485 @ X1486) @ X1483|(X1485)=(X1486)|in @ (esk75_4 @ X1483 @ X1484 @ X1485 @ X1486) @ X1483|~subset @ X1486 @ (cartprod @ X1483 @ X1484)|~subset @ X1485 @ (cartprod @ X1483 @ X1484))&((in @ (esk78_4 @ X1483 @ X1484 @ X1485 @ X1486) @ X1484|(X1485)=(X1486)|in @ (esk75_4 @ X1483 @ X1484 @ X1485 @ X1486) @ X1483|~subset @ X1486 @ (cartprod @ X1483 @ X1484)|~subset @ X1485 @ (cartprod @ X1483 @ X1484))&((in @ (kpair @ (esk77_4 @ X1483 @ X1484 @ X1485 @ X1486) @ (esk78_4 @ X1483 @ X1484 @ X1485 @ X1486)) @ X1486|(X1485)=(X1486)|in @ (esk75_4 @ X1483 @ X1484 @ X1485 @ X1486) @ X1483|~subset @ X1486 @ (cartprod @ X1483 @ X1484)|~subset @ X1485 @ (cartprod @ X1483 @ X1484))&(~in @ (kpair @ (esk77_4 @ X1483 @ X1484 @ X1485 @ X1486) @ (esk78_4 @ X1483 @ X1484 @ X1485 @ X1486)) @ X1485|(X1485)=(X1486)|in @ (esk75_4 @ X1483 @ X1484 @ X1485 @ X1486) @ X1483|~subset @ X1486 @ (cartprod @ X1483 @ X1484)|~subset @ X1485 @ (cartprod @ X1483 @ X1484)))))&(((in @ (esk77_4 @ X1483 @ X1484 @ X1485 @ X1486) @ X1483|(X1485)=(X1486)|in @ (esk76_4 @ X1483 @ X1484 @ X1485 @ X1486) @ X1484|~subset @ X1486 @ (cartprod @ X1483 @ X1484)|~subset @ X1485 @ (cartprod @ X1483 @ X1484))&((in @ (esk78_4 @ X1483 @ X1484 @ X1485 @ X1486) @ X1484|(X1485)=(X1486)|in @ (esk76_4 @ X1483 @ X1484 @ X1485 @ X1486) @ X1484|~subset @ X1486 @ (cartprod @ X1483 @ X1484)|~subset @ X1485 @ (cartprod @ X1483 @ X1484))&((in @ (kpair @ (esk77_4 @ X1483 @ X1484 @ X1485 @ X1486) @ (esk78_4 @ X1483 @ X1484 @ X1485 @ X1486)) @ X1486|(X1485)=(X1486)|in @ (esk76_4 @ X1483 @ X1484 @ X1485 @ X1486) @ X1484|~subset @ X1486 @ (cartprod @ X1483 @ X1484)|~subset @ X1485 @ (cartprod @ X1483 @ X1484))&(~in @ (kpair @ (esk77_4 @ X1483 @ X1484 @ X1485 @ X1486) @ (esk78_4 @ X1483 @ X1484 @ X1485 @ X1486)) @ X1485|(X1485)=(X1486)|in @ (esk76_4 @ X1483 @ X1484 @ X1485 @ X1486) @ X1484|~subset @ X1486 @ (cartprod @ X1483 @ X1484)|~subset @ X1485 @ (cartprod @ X1483 @ X1484)))))&(((in @ (esk77_4 @ X1483 @ X1484 @ X1485 @ X1486) @ X1483|(X1485)=(X1486)|in @ (kpair @ (esk75_4 @ X1483 @ X1484 @ X1485 @ X1486) @ (esk76_4 @ X1483 @ X1484 @ X1485 @ X1486)) @ X1485|~subset @ X1486 @ (cartprod @ X1483 @ X1484)|~subset @ X1485 @ (cartprod @ X1483 @ X1484))&((in @ (esk78_4 @ X1483 @ X1484 @ X1485 @ X1486) @ X1484|(X1485)=(X1486)|in @ (kpair @ (esk75_4 @ X1483 @ X1484 @ X1485 @ X1486) @ (esk76_4 @ X1483 @ X1484 @ X1485 @ X1486)) @ X1485|~subset @ X1486 @ (cartprod @ X1483 @ X1484)|~subset @ X1485 @ (cartprod @ X1483 @ X1484))&((in @ (kpair @ (esk77_4 @ X1483 @ X1484 @ X1485 @ X1486) @ (esk78_4 @ X1483 @ X1484 @ X1485 @ X1486)) @ X1486|(X1485)=(X1486)|in @ (kpair @ (esk75_4 @ X1483 @ X1484 @ X1485 @ X1486) @ (esk76_4 @ X1483 @ X1484 @ X1485 @ X1486)) @ X1485|~subset @ X1486 @ (cartprod @ X1483 @ X1484)|~subset @ X1485 @ (cartprod @ X1483 @ X1484))&(~in @ (kpair @ (esk77_4 @ X1483 @ X1484 @ X1485 @ X1486) @ (esk78_4 @ X1483 @ X1484 @ X1485 @ X1486)) @ X1485|(X1485)=(X1486)|in @ (kpair @ (esk75_4 @ X1483 @ X1484 @ X1485 @ X1486) @ (esk76_4 @ X1483 @ X1484 @ X1485 @ X1486)) @ X1485|~subset @ X1486 @ (cartprod @ X1483 @ X1484)|~subset @ X1485 @ (cartprod @ X1483 @ X1484)))))&((in @ (esk77_4 @ X1483 @ X1484 @ X1485 @ X1486) @ X1483|(X1485)=(X1486)|~in @ (kpair @ (esk75_4 @ X1483 @ X1484 @ X1485 @ X1486) @ (esk76_4 @ X1483 @ X1484 @ X1485 @ X1486)) @ X1486|~subset @ X1486 @ (cartprod @ X1483 @ X1484)|~subset @ X1485 @ (cartprod @ X1483 @ X1484))&((in @ (esk78_4 @ X1483 @ X1484 @ X1485 @ X1486) @ X1484|(X1485)=(X1486)|~in @ (kpair @ (esk75_4 @ X1483 @ X1484 @ X1485 @ X1486) @ (esk76_4 @ X1483 @ X1484 @ X1485 @ X1486)) @ X1486|~subset @ X1486 @ (cartprod @ X1483 @ X1484)|~subset @ X1485 @ (cartprod @ X1483 @ X1484))&((in @ (kpair @ (esk77_4 @ X1483 @ X1484 @ X1485 @ X1486) @ (esk78_4 @ X1483 @ X1484 @ X1485 @ X1486)) @ X1486|(X1485)=(X1486)|~in @ (kpair @ (esk75_4 @ X1483 @ X1484 @ X1485 @ X1486) @ (esk76_4 @ X1483 @ X1484 @ X1485 @ X1486)) @ X1486|~subset @ X1486 @ (cartprod @ X1483 @ X1484)|~subset @ X1485 @ (cartprod @ X1483 @ X1484))&(~in @ (kpair @ (esk77_4 @ X1483 @ X1484 @ X1485 @ X1486) @ (esk78_4 @ X1483 @ X1484 @ X1485 @ X1486)) @ X1485|(X1485)=(X1486)|~in @ (kpair @ (esk75_4 @ X1483 @ X1484 @ X1485 @ X1486) @ (esk76_4 @ X1483 @ X1484 @ X1485 @ X1486)) @ X1486|~subset @ X1486 @ (cartprod @ X1483 @ X1484)|~subset @ X1485 @ (cartprod @ X1483 @ X1484))))))))&(((in @ (esk79_4 @ X1491 @ X1492 @ X1493 @ X1494) @ X1491|(X1493)=(X1494)|~func @ X1491 @ X1492 @ X1494|~func @ X1491 @ X1492 @ X1493)&((ap @ X1491 @ X1492 @ X1493 @ (esk79_4 @ X1491 @ X1492 @ X1493 @ X1494))!=(ap @ X1491 @ X1492 @ X1494 @ (esk79_4 @ X1491 @ X1492 @ X1493 @ X1494))|(X1493)=(X1494)|~func @ X1491 @ X1492 @ X1494|~func @ X1491 @ X1492 @ X1493))&(((in @ (esk80_4 @ X1496 @ X1497 @ X1498 @ X1499) @ X1496|(X1498)=(X1499)|~in @ X1499 @ (funcSet @ X1496 @ X1497)|~in @ X1498 @ (funcSet @ X1496 @ X1497))&((ap @ X1496 @ X1497 @ X1498 @ (esk80_4 @ X1496 @ X1497 @ X1498 @ X1499))!=(ap @ X1496 @ X1497 @ X1499 @ (esk80_4 @ X1496 @ X1497 @ X1498 @ X1499))|(X1498)=(X1499)|~in @ X1499 @ (funcSet @ X1496 @ X1497)|~in @ X1498 @ (funcSet @ X1496 @ X1497)))&((~in @ X1503 @ (funcSet @ X1501 @ X1502)|(~in @ X1504 @ X1501|(ap @ X1501 @ X1502 @ X1503 @ X1504)=(ap @ X1501 @ X1502 @ X1503 @ X1504)))&((~func @ X1505 @ X1506 @ X1507|(~in @ X1508 @ X1505|(ap @ X1505 @ X1506 @ X1507 @ X1508)=(ap @ X1505 @ X1506 @ X1507 @ X1508)))&(((in @ (esk81_3 @ X1509 @ X1510 @ X1511) @ X1509|(~in @ X1513 @ X1509|(ap @ X1509 @ X1510 @ (lam @ X1509 @ X1510 @ (esk1_2 @ X1511)) @ X1513)=(X1511 @ X1513)))&(~in @ (X1511 @ (esk81_3 @ X1509 @ X1510 @ X1511)) @ X1510|(~in @ X1513 @ X1509|(ap @ X1509 @ X1510 @ (lam @ X1509 @ X1510 @ (esk1_2 @ X1511)) @ X1513)=(X1511 @ X1513))))&((~func @ X1514 @ X1515 @ X1516|(lam @ X1514 @ X1515 @ (esk1_2 @ (ap @ X1514 @ X1515 @ X1516)))=(X1516))&(((in @ (esk82_3 @ X1517 @ X1518 @ X1519) @ X1517|(lam @ X1517 @ X1518 @ (esk1_2 @ X1519))=(lam @ X1517 @ X1518 @ (esk1_2 @ X1519)))&(~in @ (X1519 @ (esk82_3 @ X1517 @ X1518 @ X1519)) @ X1518|(lam @ X1517 @ X1518 @ (esk1_2 @ X1519))=(lam @ X1517 @ X1518 @ (esk1_2 @ X1519))))&(((in @ (esk83_3 @ X1521 @ X1522 @ X1523) @ X1521|(~in @ X1525 @ X1521|(ap @ X1521 @ X1522 @ (lam @ X1521 @ X1522 @ (esk1_2 @ X1523)) @ X1525)=(X1523 @ X1525)))&(~in @ (X1523 @ (esk83_3 @ X1521 @ X1522 @ X1523)) @ X1522|(~in @ X1525 @ X1521|(ap @ X1521 @ X1522 @ (lam @ X1521 @ X1522 @ (esk1_2 @ X1523)) @ X1525)=(X1523 @ X1525))))&((~in @ X1528 @ (funcSet @ X1526 @ X1527)|(lam @ X1526 @ X1527 @ (esk1_2 @ (ap @ X1526 @ X1527 @ X1528)))=(X1528))&((~in @ X1531 @ X1529|(~in @ X1532 @ X1529|(X1530|in @ X1532 @ (dsetconstr @ X1529 @ (epred4_4 @ X1532 @ X1530 @ X1531)))))&((~in @ X1535 @ X1533|(~in @ X1536 @ X1533|(X1534|(dsetconstr @ X1533 @ (epred4_4 @ X1536 @ X1534 @ X1535))=(setadjoin @ X1536 @ emptyset))))&((~in @ X1539 @ X1537|(~in @ X1540 @ X1537|(~X1538|in @ X1539 @ (dsetconstr @ X1537 @ (epred4_4 @ X1540 @ X1538 @ X1539)))))&((~in @ X1543 @ X1541|(~in @ X1544 @ X1541|(~X1542|(dsetconstr @ X1541 @ (epred4_4 @ X1544 @ X1542 @ X1543))=(setadjoin @ X1543 @ emptyset))))&((~in @ X1547 @ X1545|(~in @ X1548 @ X1545|singleton @ (dsetconstr @ X1545 @ (epred4_4 @ X1548 @ X1546 @ X1547))))&(((~X1550|in @ (if @ X1549 @ $true @ X1551 @ X1552) @ X1549|~in @ X1552 @ X1549|~in @ X1551 @ X1549)&(X1550|in @ (if @ X1549 @ $false @ X1551 @ X1552) @ X1549|~in @ X1552 @ X1549|~in @ X1551 @ X1549))&((~singleton @ X1553|(~in @ X1554 @ X1553|(setunion @ X1553)=(X1554)))&(((~X1556|(if @ X1555 @ $true @ X1557 @ X1558)=(X1557)|~X1556|~in @ X1558 @ X1555|~in @ X1557 @ X1555)&(X1556|(if @ X1555 @ $false @ X1557 @ X1558)=(X1557)|~X1556|~in @ X1558 @ X1555|~in @ X1557 @ X1555))&(((~X1560|(if @ X1559 @ $true @ X1561 @ X1562)=(X1562)|X1560|~in @ X1562 @ X1559|~in @ X1561 @ X1559)&(X1560|(if @ X1559 @ $false @ X1561 @ X1562)=(X1562)|X1560|~in @ X1562 @ X1559|~in @ X1561 @ X1559))&(((~X1564|in @ (if @ X1563 @ $true @ X1565 @ X1566) @ (setadjoin @ X1565 @ (setadjoin @ X1566 @ emptyset))|~in @ X1566 @ X1563|~in @ X1565 @ X1563)&(X1564|in @ (if @ X1563 @ $false @ X1565 @ X1566) @ (setadjoin @ X1565 @ (setadjoin @ X1566 @ emptyset))|~in @ X1566 @ X1563|~in @ X1565 @ X1563))&((~in @ X1568 @ (powerset @ X1567)|(~in @ X1569 @ (powerset @ X1567)|in @ (binintersect @ X1568 @ X1569) @ (powerset @ X1567)))&((~in @ X1571 @ (powerset @ X1570)|(~in @ X1572 @ (powerset @ X1570)|in @ (binunion @ X1571 @ X1572) @ (powerset @ X1570)))&((~in @ X1574 @ (powerset @ X1573)|in @ (powerset @ X1574) @ (powerset @ (powerset @ X1573)))&((~in @ X1576 @ (powerset @ X1575)|(~in @ X1577 @ (powerset @ X1575)|in @ (setminus @ X1576 @ X1577) @ (powerset @ X1575)))&((~in @ X1579 @ (powerset @ X1578)|in @ (setminus @ X1578 @ X1579) @ (powerset @ X1578))&((((in @ (esk85_3 @ X1580 @ X1581 @ X1582) @ X1580|(X1581)=(X1582)|in @ (esk84_3 @ X1580 @ X1581 @ X1582) @ X1580|~in @ X1582 @ (powerset @ X1580)|~in @ X1581 @ (powerset @ X1580))&((in @ (esk85_3 @ X1580 @ X1581 @ X1582) @ X1582|(X1581)=(X1582)|in @ (esk84_3 @ X1580 @ X1581 @ X1582) @ X1580|~in @ X1582 @ (powerset @ X1580)|~in @ X1581 @ (powerset @ X1580))&(~in @ (esk85_3 @ X1580 @ X1581 @ X1582) @ X1581|(X1581)=(X1582)|in @ (esk84_3 @ X1580 @ X1581 @ X1582) @ X1580|~in @ X1582 @ (powerset @ X1580)|~in @ X1581 @ (powerset @ X1580))))&(((in @ (esk85_3 @ X1580 @ X1581 @ X1582) @ X1580|(X1581)=(X1582)|in @ (esk84_3 @ X1580 @ X1581 @ X1582) @ X1581|~in @ X1582 @ (powerset @ X1580)|~in @ X1581 @ (powerset @ X1580))&((in @ (esk85_3 @ X1580 @ X1581 @ X1582) @ X1582|(X1581)=(X1582)|in @ (esk84_3 @ X1580 @ X1581 @ X1582) @ X1581|~in @ X1582 @ (powerset @ X1580)|~in @ X1581 @ (powerset @ X1580))&(~in @ (esk85_3 @ X1580 @ X1581 @ X1582) @ X1581|(X1581)=(X1582)|in @ (esk84_3 @ X1580 @ X1581 @ X1582) @ X1581|~in @ X1582 @ (powerset @ X1580)|~in @ X1581 @ (powerset @ X1580))))&((in @ (esk85_3 @ X1580 @ X1581 @ X1582) @ X1580|(X1581)=(X1582)|~in @ (esk84_3 @ X1580 @ X1581 @ X1582) @ X1582|~in @ X1582 @ (powerset @ X1580)|~in @ X1581 @ (powerset @ X1580))&((in @ (esk85_3 @ X1580 @ X1581 @ X1582) @ X1582|(X1581)=(X1582)|~in @ (esk84_3 @ X1580 @ X1581 @ X1582) @ X1582|~in @ X1582 @ (powerset @ X1580)|~in @ X1581 @ (powerset @ X1580))&(~in @ (esk85_3 @ X1580 @ X1581 @ X1582) @ X1581|(X1581)=(X1582)|~in @ (esk84_3 @ X1580 @ X1581 @ X1582) @ X1582|~in @ X1582 @ (powerset @ X1580)|~in @ X1581 @ (powerset @ X1580))))))&(((in @ (esk86_3 @ X1585 @ X1586 @ X1587) @ X1585|subset @ X1586 @ X1587|~in @ X1587 @ (powerset @ X1585)|~in @ X1586 @ (powerset @ X1585))&((in @ (esk86_3 @ X1585 @ X1586 @ X1587) @ X1586|subset @ X1586 @ X1587|~in @ X1587 @ (powerset @ X1585)|~in @ X1586 @ (powerset @ X1585))&(~in @ (esk86_3 @ X1585 @ X1586 @ X1587) @ X1587|subset @ X1586 @ X1587|~in @ X1587 @ (powerset @ X1585)|~in @ X1586 @ (powerset @ X1585))))&(((in @ (esk87_3 @ X1589 @ X1590 @ X1591) @ X1589|in @ X1590 @ (powerset @ X1591)|~in @ X1591 @ (powerset @ X1589)|~in @ X1590 @ (powerset @ X1589))&((in @ (esk87_3 @ X1589 @ X1590 @ X1591) @ X1590|in @ X1590 @ (powerset @ X1591)|~in @ X1591 @ (powerset @ X1589)|~in @ X1590 @ (powerset @ X1589))&(~in @ (esk87_3 @ X1589 @ X1590 @ X1591) @ X1591|in @ X1590 @ (powerset @ X1591)|~in @ X1591 @ (powerset @ X1589)|~in @ X1590 @ (powerset @ X1589))))&((~in @ X1594 @ (powerset @ X1593)|(~in @ X1595 @ (powerset @ X1593)|(~in @ X1596 @ X1593|(~in @ X1594 @ (powerset @ X1595)|(~in @ X1596 @ X1594|in @ X1596 @ X1595)))))&((~in @ X1598 @ (powerset @ X1597)|(~in @ X1599 @ X1597|(~in @ X1599 @ X1598|~in @ X1599 @ (setminus @ X1597 @ X1598))))&((~in @ X1601 @ (powerset @ X1600)|(~in @ X1602 @ X1600|(in @ X1602 @ (setminus @ X1600 @ X1601)|in @ X1602 @ X1601)))&((~in @ X1604 @ (powerset @ X1603)|(~in @ X1605 @ (powerset @ X1603)|(~in @ X1606 @ X1603|(in @ X1606 @ X1604|~in @ X1606 @ (binintersect @ X1604 @ X1605)))))&((~in @ X1608 @ (powerset @ X1607)|(~in @ X1609 @ (powerset @ X1607)|(~in @ X1610 @ X1607|(in @ X1610 @ X1609|~in @ X1610 @ (binintersect @ X1608 @ X1609)))))&((~in @ X1612 @ (powerset @ X1611)|(~in @ X1613 @ (powerset @ X1611)|(~in @ X1614 @ X1611|(~subset @ X1612 @ (setminus @ X1611 @ X1613)|(~in @ X1614 @ X1613|~in @ X1614 @ X1612)))))&((~in @ X1616 @ (powerset @ X1615)|(~in @ X1617 @ (powerset @ X1615)|(~in @ X1618 @ X1615|(~subset @ X1616 @ X1617|(in @ X1618 @ X1617|~in @ X1618 @ X1616)))))&((~in @ X1620 @ (powerset @ X1619)|(~in @ X1621 @ (powerset @ X1619)|(~subset @ X1620 @ X1621|subset @ (setminus @ X1619 @ X1621) @ (setminus @ X1619 @ X1620))))&((~in @ X1623 @ (powerset @ X1622)|(~in @ X1624 @ (powerset @ X1622)|(~subset @ (setminus @ X1622 @ X1624) @ (setminus @ X1622 @ X1623)|subset @ X1623 @ X1624)))&((~in @ X1626 @ (powerset @ X1625)|(~in @ X1627 @ X1625|(~in @ X1627 @ X1626|in @ X1627 @ (setminus @ X1625 @ (setminus @ X1625 @ X1626)))))&((~in @ X1629 @ (powerset @ X1628)|(~in @ X1630 @ X1628|(~in @ X1630 @ (setminus @ X1628 @ (setminus @ X1628 @ X1629))|in @ X1630 @ X1629)))&((~in @ X1632 @ (powerset @ X1631)|subset @ X1632 @ (setminus @ X1631 @ (setminus @ X1631 @ X1632)))&((~in @ X1634 @ (powerset @ X1633)|subset @ (setminus @ X1633 @ (setminus @ X1633 @ X1634)) @ X1634)&(in @ esk89_0 @ (powerset @ esk88_0)&(esk89_0)!=(setminus @ esk88_0 @ (setminus @ esk88_0 @ esk89_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_287])])])])])])).
59.58/59.77	thf(c_0_289, negated_conjecture, ![X2:$i, X3:$i]:(subset @ X2 @ (setminus @ X3 @ (setminus @ X3 @ X2))|~in @ X2 @ (powerset @ X3)), inference(split_conjunct,[status(thm)],[c_0_288])).
59.58/59.77	thf(c_0_290, negated_conjecture, in @ esk89_0 @ (powerset @ esk88_0), inference(split_conjunct,[status(thm)],[c_0_288])).
59.58/59.77	thf(c_0_291, negated_conjecture, ![X3:$i, X2:$i]:((X2)=(X3)|~subset @ X2 @ X3|~subset @ X3 @ X2), inference(split_conjunct,[status(thm)],[c_0_288])).
59.58/59.77	thf(c_0_292, negated_conjecture, subset @ esk89_0 @ (setminus @ esk88_0 @ (setminus @ esk88_0 @ esk89_0)), inference(spm,[status(thm)],[c_0_289, c_0_290])).
59.58/59.77	thf(c_0_293, negated_conjecture, (esk89_0)!=(setminus @ esk88_0 @ (setminus @ esk88_0 @ esk89_0)), inference(split_conjunct,[status(thm)],[c_0_288])).
59.58/59.77	thf(c_0_294, negated_conjecture, ![X2:$i, X3:$i]:(subset @ (setminus @ X3 @ (setminus @ X3 @ X2)) @ X2|~in @ X2 @ (powerset @ X3)), inference(split_conjunct,[status(thm)],[c_0_288])).
59.58/59.77	thf(c_0_295, negated_conjecture, ~subset @ (setminus @ esk88_0 @ (setminus @ esk88_0 @ esk89_0)) @ esk89_0, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_291, c_0_292]), c_0_293])).
59.58/59.77	thf(c_0_296, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_294, c_0_290]), c_0_295]), ['proof']).
59.58/59.77	# SZS output end CNFRefutation
59.58/59.77	# Proof object total steps             : 297
59.58/59.77	# Proof object clause steps            : 8
59.58/59.77	# Proof object formula steps           : 289
59.58/59.77	# Proof object conjectures             : 11
59.58/59.77	# Proof object clause conjectures      : 8
59.58/59.77	# Proof object formula conjectures     : 3
59.58/59.77	# Proof object initial clauses used    : 5
59.58/59.77	# Proof object initial formulas used   : 252
59.58/59.77	# Proof object generating inferences   : 3
59.58/59.77	# Proof object simplifying inferences  : 2
59.58/59.77	# Training examples: 0 positive, 0 negative
59.58/59.77	# Parsed axioms                        : 537
59.58/59.77	# Removed by relevancy pruning/SinE    : 0
59.58/59.77	# Initial clauses                      : 743
59.58/59.77	# Removed in clause preprocessing      : 320
59.58/59.77	# Initial clauses in saturation        : 423
59.58/59.77	# Processed clauses                    : 675
59.58/59.77	# ...of these trivial                  : 12
59.58/59.77	# ...subsumed                          : 67
59.58/59.77	# ...remaining for further processing  : 595
59.58/59.77	# Other redundant clauses eliminated   : 1107
59.58/59.77	# Clauses deleted for lack of memory   : 0
59.58/59.77	# Backward-subsumed                    : 0
59.58/59.77	# Backward-rewritten                   : 2
59.58/59.77	# Generated clauses                    : 21934
59.58/59.77	# ...of the previous two non-trivial   : 19002
59.58/59.77	# Contextual simplify-reflections      : 3
59.58/59.77	# Paramodulations                      : 18515
59.58/59.77	# Factorizations                       : 2
59.58/59.77	# NegExts                              : 2
59.58/59.77	# Equation resolutions                 : 1113
59.58/59.77	# Propositional unsat checks           : 0
59.58/59.77	#    Propositional check models        : 0
59.58/59.77	#    Propositional check unsatisfiable : 0
59.58/59.77	#    Propositional clauses             : 0
59.58/59.77	#    Propositional clauses after purity: 0
59.58/59.77	#    Propositional unsat core size     : 0
59.58/59.77	#    Propositional preprocessing time  : 0.000
59.58/59.77	#    Propositional encoding time       : 0.000
59.58/59.77	#    Propositional solver time         : 0.000
59.58/59.77	#    Success case prop preproc time    : 0.000
59.58/59.77	#    Success case prop encoding time   : 0.000
59.58/59.77	#    Success case prop solver time     : 0.000
59.58/59.77	# Current number of processed clauses  : 575
59.58/59.77	#    Positive orientable unit clauses  : 158
59.58/59.77	#    Positive unorientable unit clauses: 0
59.58/59.77	#    Negative unit clauses             : 3
59.58/59.77	#    Non-unit-clauses                  : 414
59.58/59.77	# Current number of unprocessed clauses: 18746
59.58/59.77	# ...number of literals in the above   : 74505
59.58/59.77	# Current number of archived formulas  : 0
59.58/59.77	# Current number of archived clauses   : 2
59.58/59.77	# Clause-clause subsumption calls (NU) : 32946
59.58/59.77	# Rec. Clause-clause subsumption calls : 11073
59.58/59.77	# Non-unit clause-clause subsumptions  : 64
59.58/59.77	# Unit Clause-clause subsumption calls : 2125
59.58/59.77	# Rewrite failures with RHS unbound    : 0
59.58/59.77	# BW rewrite match attempts            : 45
59.58/59.77	# BW rewrite match successes           : 2
59.58/59.77	# Condensation attempts                : 0
59.58/59.77	# Condensation successes               : 0
59.58/59.77	# Termbank termtop insertions          : 530244
59.58/59.77	
59.58/59.77	# -------------------------------------------------
59.58/59.77	# User time                : 59.003 s
59.58/59.77	# System time              : 0.388 s
59.58/59.77	# Total time               : 59.391 s
59.58/59.77	# Maximum resident set size: 2248 pages
59.58/59.78	EOF