0.07/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.13/0.18	% Command    : eprover-ho %s --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --free-numbers -auto-schedule -p --cpu-limit=%d --neg-ext=all --pos-ext=all --ext-sup-max-depth=2 --schedule-kind=CASC
0.17/0.39	% Computer   : n009.cluster.edu
0.17/0.39	% Model      : x86_64 x86_64
0.17/0.39	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.17/0.39	% Memory     : 8042.1875MB
0.17/0.39	% OS         : Linux 3.10.0-693.el7.x86_64
0.17/0.39	% CPULimit   : 1200
0.17/0.40	% WCLimit    : 120
0.17/0.40	% DateTime   : Tue Jul 13 15:35:12 EDT 2021
0.17/0.40	% CPUTime    : 
0.17/0.40	% Number of cores: 8
0.17/0.40	% Python version: Python 3.6.8
0.17/0.40	# Version: 2.6rc1-ho
0.17/0.42	# No SInE strategy applied
0.17/0.42	# Trying AutoSched0 for 59 seconds
1.19/1.34	# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S2g
1.19/1.34	# and selection function SelectCQArNpEqFirst.
1.19/1.34	#
1.19/1.34	# Preprocessing time       : 0.175 s
1.19/1.34	# Presaturation interreduction done
1.19/1.34	
1.19/1.34	# Proof found!
1.19/1.34	# SZS status Theorem
1.19/1.34	# SZS output start CNFRefutation
1.19/1.34	thf(wellorderedByIn, axiom, (wellorderedByIn)=(^[X4:$i]:(((![X1195:$i]:(in @ X1195 @ X4=>![X1196:$i]:(in @ X1196 @ X4=>![X1197:$i]:(in @ X1197 @ X4=>((in @ X1195 @ X1196&in @ X1196 @ X1197)=>in @ X1195 @ X1197))))&![X1198:$i]:(in @ X1198 @ X4=>![X1199:$i]:(in @ X1199 @ X4=>(((X1198)=(X1199)|in @ X1198 @ X1199)|in @ X1199 @ X1198))))&![X1200:$i]:(in @ X1200 @ X4=>~(in @ X1200 @ X1200)))&![X21:$i]:(in @ X21 @ (powerset @ X4)=>((X21)!=(emptyset)=>?[X2:$i]:(in @ X2 @ X21&![X48:$i]:(in @ X48 @ X21=>((X2)=(X48)|in @ X2 @ X48))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', wellorderedByIn)).
1.19/1.34	thf(nonempty, axiom, (nonempty)=(^[X2:$i]:(X2)!=(emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonempty)).
1.19/1.34	thf(stricttotalorderedByIn, axiom, (stricttotalorderedByIn)=(^[X4:$i]:((![X2:$i]:(in @ X2 @ X4=>![X21:$i]:(in @ X21 @ X4=>![X48:$i]:(in @ X48 @ X4=>((in @ X2 @ X21&in @ X21 @ X48)=>in @ X2 @ X48))))&![X21:$i]:(in @ X21 @ X4=>![X48:$i]:(in @ X48 @ X4=>(((X21)=(X48)|in @ X21 @ X48)|in @ X48 @ X21))))&![X21:$i]:(in @ X21 @ X4=>~(in @ X21 @ X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', stricttotalorderedByIn)).
1.19/1.34	thf(ordinal, axiom, (ordinal)=(^[X2:$i]:(![X1201:$i]:(in @ X1201 @ X2=>subset @ X1201 @ X2)&(((![X1202:$i]:(in @ X1202 @ X2=>![X1203:$i]:(in @ X1203 @ X2=>![X1204:$i]:(in @ X1204 @ X2=>((in @ X1202 @ X1203&in @ X1203 @ X1204)=>in @ X1202 @ X1204))))&![X1205:$i]:(in @ X1205 @ X2=>![X1206:$i]:(in @ X1206 @ X2=>(((X1205)=(X1206)|in @ X1205 @ X1206)|in @ X1206 @ X1205))))&![X1207:$i]:(in @ X1207 @ X2=>~(in @ X1207 @ X1207)))&![X1208:$i]:(in @ X1208 @ (powerset @ X2)=>((X1208)!=(emptyset)=>?[X1209:$i]:(in @ X1209 @ X1208&![X1210:$i]:(in @ X1210 @ X1208=>((X1209)=(X1210)|in @ X1209 @ X1210)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ordinal)).
1.19/1.34	thf(transitiveset, axiom, (transitiveset)=(^[X4:$i]:![X21:$i]:(in @ X21 @ X4=>subset @ X21 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', transitiveset)).
1.19/1.34	thf(replAx, axiom, (replAx<=>![X6:$i > $i > $o, X4:$i]:(![X2:$i]:(in @ X2 @ X4=>exu @ (^[X3:$i]:X6 @ X2 @ X3))=>?[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', replAx)).
1.19/1.34	thf(exu, axiom, (exu)=(^[X1:$i > $o]:?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exu)).
1.19/1.34	thf(descrp, axiom, (descrp<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>X1 @ (descr @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', descrp)).
1.19/1.34	thf(exuE1, axiom, (exuE1<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE1)).
1.19/1.34	thf(exuE3e, axiom, (exuE3e<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:X1 @ X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE3e)).
1.19/1.34	thf(nonemptyE1, axiom, (nonemptyE1<=>![X4:$i]:(nonempty @ X4=>?[X2:$i]:in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyE1)).
1.19/1.34	thf(nonemptyI, axiom, (nonemptyI<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyI)).
1.19/1.34	thf(nonemptyI1, axiom, (nonemptyI1<=>![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>nonempty @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyI1)).
1.19/1.34	thf(exuE2, axiom, (exuE2<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE2)).
1.19/1.34	thf(nonemptyImpWitness, axiom, (nonemptyImpWitness<=>![X4:$i]:(nonempty @ X4=>?[X2:$i]:(in @ X2 @ X4&$true))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyImpWitness)).
1.19/1.34	thf(exuI1, axiom, (exuI1<=>![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>exu @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuI1)).
1.19/1.34	thf(exuI3, axiom, (exuI3<=>![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>exu @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuI3)).
1.19/1.34	thf(exuI2, axiom, (exuI2<=>![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>exu @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuI2)).
1.19/1.34	thf(exuE3u, axiom, (exuE3u<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE3u)).
1.19/1.34	thf(exu__Cong, axiom, (exu__Cong<=>![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(exu @ (^[X2:$i]:X1 @ X2)<=>exu @ (^[X2:$i]:X17 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exu__Cong)).
1.19/1.34	thf(exuEu, axiom, (exuEu<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuEu)).
1.19/1.34	thf(descr__Cong, axiom, (descr__Cong<=>![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(exu @ (^[X2:$i]:X1 @ X2)=>(exu @ (^[X2:$i]:X17 @ X2)=>(descr @ (^[X2:$i]:X1 @ X2))=(descr @ (^[X2:$i]:X17 @ X2)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', descr__Cong)).
1.19/1.34	thf(image1Ex1, axiom, (image1Ex1<=>![X4:$i, X58:$i > $i]:exu @ (^[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&(X2)=(X58 @ X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', image1Ex1)).
1.19/1.34	thf(foundation2, axiom, (foundation2<=>![X4:$i]:(nonempty @ X4=>?[X21:$i]:(in @ X21 @ X4&(binintersect @ X21 @ X4)=(emptyset)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', foundation2)).
1.19/1.34	thf(transitivesetOp1, axiom, (transitivesetOp1<=>![X21:$i]:(transitiveset @ X21=>![X4:$i]:(in @ X4 @ X21=>subset @ X4 @ X21))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', transitivesetOp1)).
1.19/1.34	thf(binintTransitive, axiom, (binintTransitive<=>![X21:$i]:(transitiveset @ X21=>![X48:$i]:(transitiveset @ X48=>transitiveset @ (binintersect @ X21 @ X48)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintTransitive)).
1.19/1.34	thf(transitivesetOp2, axiom, (transitivesetOp2<=>![X21:$i]:(transitiveset @ X21=>![X4:$i, X2:$i]:(in @ X4 @ X21=>(in @ X2 @ X4=>in @ X2 @ X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', transitivesetOp2)).
1.19/1.34	thf(setunionTransitive, axiom, (setunionTransitive<=>![X21:$i]:(![X2:$i]:(in @ X2 @ X21=>transitiveset @ X2)=>transitiveset @ (setunion @ X21))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionTransitive)).
1.19/1.34	thf(ordinalMinLem1, axiom, (ordinalMinLem1<=>![X21:$i]:(ordinal @ X21=>![X48:$i]:(ordinal @ X48=>transitiveset @ (binintersect @ X21 @ X48)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ordinalMinLem1)).
1.19/1.34	thf(ordinalTransSet, axiom, (ordinalTransSet<=>![X21:$i]:(ordinal @ X21=>![X2:$i, X4:$i]:(in @ X4 @ X21=>(in @ X2 @ X4=>in @ X2 @ X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ordinalTransSet)).
1.19/1.34	thf(ordinalTransSet1, conjecture, ((emptysetAx=>(((((((replAx=>(foundationAx=>((descrp=>(dsetconstrI=>(((((((((setext=>(emptyI=>(noeltsimpempty=>(setbeta=>(nonemptyE1=>(((((setadjoinIR=>(setadjoinE=>((setoftrueEq=>(powersetI=>((emptyInPowerset=>(powersetE=>(setunionI=>(setunionE=>(subPowSU=>(exuE2=>(nonemptyImpWitness=>(uniqinunit=>((eqinunit=>(singletonsswitch=>(upairsetE=>(upairsetIL=>((emptyE1=>(vacuousDall=>(quantDeMorgan1=>(quantDeMorgan2=>((((prop2set2propI=>(((((exuI2=>(inCongP=>(in__Cong=>(((emptyset__Cong=>(setadjoin__Cong=>(powerset__Cong=>(setunion__Cong=>(omega__Cong=>(exuEu=>(descr__Cong=>(dsetconstr__Cong=>((eqimpsubset2=>((subsetI2=>(((subsetE2=>((((subsetRefl=>((setadjoinSub=>((subset2powerset=>(setextsub=>(((((powersetsubset=>((sepSubset=>(binunionIL=>(upairset2IR=>(binunionIR=>(binunionEcases=>(((((((binintersectLsub=>((binintersectSubset3=>(binintersectER=>(((((((((setminusSubset2=>((setminusELneg=>(((setminusLsub=>(setminusSubset1=>((symdiffI1=>(symdiffI2=>(symdiffIneg1=>(symdiffIneg2=>(secondinupair=>(setukpairIL=>(setukpairIR=>(kpairiskpair=>((((singletoninpowunion=>(upairset2E=>((upairinpowunion=>(ubforcartprodlem1=>((ubforcartprodlem3=>((cartprodmempair1=>((setunionE2=>(((setunionsingleton=>(singletonprop=>((ex1I=>(ex1I2=>(singletonsuniq=>((kfstsingleton=>((kfstpairEq=>(cartprodfstin=>(setukpairinjL2=>(setukpairinjL=>(((((setukpairinjR2=>((((kpairsurjEq=>((((((cartprodsndpairEq=>(cartprodpairsurjEq=>(((setOfPairsIsBReln=>(dpsetconstrERa=>(((dpsetconstrER=>(funcImageSingleton=>(apProp=>(app=>((ap2p=>((lamProp=>((((brelnall2=>(ex1E2=>(funcGraphProp1=>((funcGraphProp2=>(funcextLem=>(((eqbreln=>(((ap2apEq1=>(ap2apEq2=>(beta1=>((lam2lamEq=>((eta2=>((iffalseProp2=>(iftrueProp1=>((ifSingleton=>(((((((((((setextT=>((((complementTI1=>(complementTE1=>(binintersectTELcontra=>(binintersectTERcontra=>(((contrasubsetT2=>((((doubleComplementSub1=>(doubleComplementSub2=>(doubleComplementEq=>(complementTnotintersectT=>((complementSubsetComplementIntersect=>(((complementTcontraSubset=>(binunionTILcontra=>(binunionTIRcontra=>(inIntersectImpInUnion=>(inIntersectImpInUnion2=>(inIntersectImpInIntersectUnions=>(intersectInPowersetIntersectUnions=>((inComplementUnionImpInComplement1=>(((((demorgan2a2=>(demorgan1a=>((demorgan1=>(demorgan2a=>(demorgan2b2=>((demorgan2=>(((woz13rule2=>((woz13rule4=>(woz1_1=>((woz1_3=>(((breln1all2=>(breln1SetBreln1=>(choice2fnsingleton=>((breln1all1=>(((breln1invprop=>((breln1invE=>((breln1compI=>((breln1compEex=>(breln1unionprop=>((breln1unionIR=>(breln1unionI=>((breln1unionEcases=>(breln1unionCommutes=>(woz2Ex=>((woz2A=>((image1Ex=>((image1Equiv=>(image1E=>(((injFuncSetFuncIn=>((surjFuncSetFuncIn=>(surjFuncSetFuncSurj=>(leftInvIsSurj=>(surjCantorThm=>((((omegaSp=>((peano0notS=>(peanoSinj=>((binintTransitive=>(transitivesetOp2=>(setunionTransitive=>(ordinalMinLem1=>(![X21:$i]:(![X4:$i]:(in @ X4 @ X21=>subset @ X4 @ X21)<=ordinal @ X21)<=ordinalTransSet)))))<=transitivesetOp1)))<=omegaSclos))<=notinself2)<=notinself)<=foundation2)))))<=injFuncSetFuncInj))<=injFuncInInjFuncSet)<=image1I)))<=image1Ex1))<=woz2B))<=woz2W))))<=breln1unionE)))<=breln1unionIL)))<=breln1compE))<=breln1compprop))<=breln1invI))<=eqbreln1)<=subbreln1))<=setOfPairsIsBReln1))))<=woz1_5)<=woz1_4))<=woz1_2)))<=woz13rule3))<=woz13rule1)<=woz13rule0))<=demorgan2b))))<=demorgan1b)))<=complementUnionInPowersetComplement)<=demorgan2a1)<=binunionTEcontra)<=binunionTE))<=inComplementUnionImpNotIn1))))))))<=contraSubsetComplement)<=complementInPowersetComplementIntersect))<=complementImpComplementIntersect)))))<=doubleComplementE1)<=doubleComplementI1)<=contrasubsetT3))<=contrasubsetT1)<=contrasubsetT)))))<=powersetTE1)<=powersetTI1)<=subsetTI))<=complementT_lem)<=setminusT_lem)<=powersetT_lem)<=binunionT_lem)<=binintersectT_lem)<=iftrueorfalse)<=iffalse)<=iftrue)<=theeq)<=ifp))<=iftrueProp2)))<=iffalseProp1))<=beta2))<=eta1))))<=funcext2)<=funcext))<=subbreln)<=funcGraphProp4)))<=funcGraphProp3))))<=brelnall1)<=lam2p)<=lamp))<=funcinfuncset))<=infuncsetfunc)))))<=dpsetconstrEL2)<=dpsetconstrEL1)))<=dpsetconstrSub)<=dpsetconstrI)))<=cartprodfstpairEq)<=cartprodmempaircEq)<=cartprodpairmemER)<=cartprodpairmemEL)<=cartprodsndin))<=ksndpairEq)<=ksndsingleton)<=setukpairinjR))<=upairequniteq)<=setukpairinjR1)<=setukpairinjR12)<=setukpairinjR11)))))<=theprop))<=setukpairinjL1))))<=ex1E1)))<=setunionsingleton2)<=setunionsingleton1))<=cartprodmempair))<=cartprodpairin))<=ubforcartprodlem2)))<=upairsubunion)))<=singletoninpowerset)<=singletonsubset)<=kpairp)))))))))<=symdiffE)))<=setminusIRneg)<=setminusILneg))<=setminusERneg))<=setminusER)<=setminusEL)<=setminusI)<=bs114d)<=binintersectSubset1)<=binintersectSubset4)<=binintersectRsub)<=disjointsetsI1)))<=binintersectSubset2))<=binintersectEL)<=binintersectSubset5)<=binintersectI)<=binunionRsub)<=binunionLsub)<=binunionE))))))<=sepInPowerset))<=inPowerset)<=powersetE1)<=powersetI1)<=subsetemptysetimpeq)))<=setadjoinSub2))<=subsetTrans))<=notequalI2)<=notequalI1)<=notsubsetI))<=subsetE)<=emptysetsubset))<=eqimpsubset1))<=subsetI1)))))))))<=exu__Cong)<=exuE3u))))<=exuI3)<=exuI1)<=notdallE)<=notdexE))<=prop2setI)<=quantDeMorgan4)<=quantDeMorgan3)))))<=upairsetIR)))))<=notinsingleton)))))))))<=emptyinPowerset)))<=setadjoinOr)))<=emptyinunitempty)<=setadjoinIL)<=nonemptyI1)<=nonemptyI))))))<=exuE3e)<=notinemptyset)<=emptysetimpfalse)<=emptysetE)<=prop2setE)<=exuE1)<=dsetconstrER)<=dsetconstrEL)))<=wellorderingAx)))<=omegaIndAx)<=omegaSAx)<=omega0Ax)<=setunionAx)<=powersetAx)<=setadjoinAx))<=setextAx), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ordinalTransSet1)).
1.19/1.34	thf(setextAx, axiom, (setextAx<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4<=>in @ X2 @ X5)=>(X4)=(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setextAx)).
1.19/1.34	thf(emptysetAx, axiom, (emptysetAx<=>![X2:$i]:~(in @ X2 @ emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetAx)).
1.19/1.34	thf(setadjoinAx, axiom, (setadjoinAx<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)<=>((X3)=(X2)|in @ X3 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinAx)).
1.19/1.34	thf(powersetAx, axiom, (powersetAx<=>![X4:$i, X5:$i]:(in @ X5 @ (powerset @ X4)<=>![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetAx)).
1.19/1.34	thf(setunionAx, axiom, (setunionAx<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)<=>?[X5:$i]:(in @ X2 @ X5&in @ X5 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionAx)).
1.19/1.34	thf(omega0Ax, axiom, (omega0Ax<=>in @ emptyset @ omega), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omega0Ax)).
1.19/1.34	thf(omegaSAx, axiom, (omegaSAx<=>![X2:$i]:(in @ X2 @ omega=>in @ (setadjoin @ X2 @ X2) @ omega)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omegaSAx)).
1.19/1.34	thf(omegaIndAx, axiom, (omegaIndAx<=>![X4:$i]:((in @ emptyset @ X4&![X2:$i]:((in @ X2 @ omega&in @ X2 @ X4)=>in @ (setadjoin @ X2 @ X2) @ X4))=>![X2:$i]:(in @ X2 @ omega=>in @ X2 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omegaIndAx)).
1.19/1.34	thf(foundationAx, axiom, (foundationAx<=>![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>?[X5:$i]:(in @ X5 @ X4&~(?[X2:$i]:(in @ X2 @ X5&in @ X2 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', foundationAx)).
1.19/1.34	thf(wellorderingAx, axiom, (wellorderingAx<=>![X4:$i]:?[X5:$i]:(((![X7:$i]:(in @ X7 @ X5=>![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X4))&![X2:$i, X3:$i]:((in @ X2 @ X4&in @ X3 @ X4)=>(![X7:$i]:(in @ X7 @ X5=>(in @ X2 @ X7<=>in @ X3 @ X7))=>(X2)=(X3))))&![X7:$i, X8:$i]:((in @ X7 @ X5&in @ X8 @ X5)=>(![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X8)|![X2:$i]:(in @ X2 @ X8=>in @ X2 @ X7))))&![X7:$i]:((![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X4)&?[X2:$i]:in @ X2 @ X7)=>?[X8:$i, X2:$i]:(((in @ X8 @ X5&in @ X2 @ X7)&~(?[X3:$i]:(in @ X3 @ X8&in @ X3 @ X7)))&![X9:$i]:(in @ X9 @ X5=>(![X3:$i]:(in @ X3 @ X9=>in @ X3 @ X8)|in @ X2 @ X9)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', wellorderingAx)).
1.19/1.34	thf(dsetconstrI, axiom, (dsetconstrI<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrI)).
1.19/1.34	thf(dsetconstrEL, axiom, (dsetconstrEL<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))=>in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrEL)).
1.19/1.34	thf(dsetconstrER, axiom, (dsetconstrER<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))=>X1 @ X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrER)).
1.19/1.34	thf(prop2setE, axiom, (prop2setE<=>![X10:$o, X2:$i]:(in @ X2 @ (prop2set @ (X10))=>X10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2setE)).
1.19/1.34	thf(emptysetE, axiom, (emptysetE<=>![X2:$i]:(in @ X2 @ emptyset=>![X11:$o]:X11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetE)).
1.19/1.34	thf(emptysetimpfalse, axiom, (emptysetimpfalse<=>![X2:$i]:(in @ X2 @ emptyset=>~$true)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetimpfalse)).
1.19/1.34	thf(notinemptyset, axiom, (notinemptyset<=>![X2:$i]:~(in @ X2 @ emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notinemptyset)).
1.19/1.34	thf(setext, axiom, (setext<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>(X4)=(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setext)).
1.19/1.34	thf(emptyI, axiom, (emptyI<=>![X4:$i]:(![X2:$i]:~(in @ X2 @ X4)=>(X4)=(emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyI)).
1.19/1.34	thf(noeltsimpempty, axiom, (noeltsimpempty<=>![X4:$i]:(![X2:$i]:~(in @ X2 @ X4)=>(X4)=(emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', noeltsimpempty)).
1.19/1.34	thf(setbeta, axiom, (setbeta<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))<=>X1 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setbeta)).
1.19/1.34	thf(setadjoinIL, axiom, (setadjoinIL<=>![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinIL)).
1.19/1.34	thf(emptyinunitempty, axiom, (emptyinunitempty<=>in @ emptyset @ (setadjoin @ emptyset @ emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyinunitempty)).
1.19/1.34	thf(setadjoinIR, axiom, (setadjoinIR<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ X4=>in @ X3 @ (setadjoin @ X2 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinIR)).
1.19/1.34	thf(setadjoinE, axiom, (setadjoinE<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>![X12:$o]:(((X3)=(X2)=>X12)=>((in @ X3 @ X4=>X12)=>X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinE)).
1.19/1.34	thf(setadjoinOr, axiom, (setadjoinOr<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>((X3)=(X2)|in @ X3 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinOr)).
1.19/1.34	thf(setoftrueEq, axiom, (setoftrueEq<=>![X4:$i]:(dsetconstr @ X4 @ (^[X2:$i]:$true))=(X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setoftrueEq)).
1.19/1.34	thf(powersetI, axiom, (powersetI<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>in @ X5 @ (powerset @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetI)).
1.19/1.34	thf(emptyinPowerset, axiom, (emptyinPowerset<=>![X4:$i]:in @ emptyset @ (powerset @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyinPowerset)).
1.19/1.34	thf(emptyInPowerset, axiom, (emptyInPowerset<=>![X4:$i]:in @ emptyset @ (powerset @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyInPowerset)).
1.19/1.34	thf(powersetE, axiom, (powersetE<=>![X4:$i, X5:$i, X2:$i]:(in @ X5 @ (powerset @ X4)=>(in @ X2 @ X5=>in @ X2 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetE)).
1.19/1.34	thf(setunionI, axiom, (setunionI<=>![X4:$i, X2:$i, X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>in @ X2 @ (setunion @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionI)).
1.19/1.34	thf(setunionE, axiom, (setunionE<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)=>![X13:$o]:(![X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>X13))=>X13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionE)).
1.19/1.34	thf(subPowSU, axiom, (subPowSU<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (powerset @ (setunion @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subPowSU)).
1.19/1.34	thf(uniqinunit, axiom, (uniqinunit<=>![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', uniqinunit)).
1.19/1.34	thf(notinsingleton, axiom, (notinsingleton<=>![X2:$i, X3:$i]:((X2)!=(X3)=>~(in @ X3 @ (setadjoin @ X2 @ emptyset)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notinsingleton)).
1.19/1.34	thf(eqinunit, axiom, (eqinunit<=>![X2:$i, X3:$i]:((X2)=(X3)=>in @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqinunit)).
1.19/1.34	thf(singletonsswitch, axiom, (singletonsswitch<=>![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>in @ X3 @ (setadjoin @ X2 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletonsswitch)).
1.19/1.34	thf(upairsetE, axiom, (upairsetE<=>![X2:$i, X3:$i, X14:$i]:(in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>((X14)=(X2)|(X14)=(X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsetE)).
1.19/1.34	thf(upairsetIL, axiom, (upairsetIL<=>![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsetIL)).
1.19/1.34	thf(upairsetIR, axiom, (upairsetIR<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsetIR)).
1.19/1.34	thf(emptyE1, axiom, (emptyE1<=>![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>((dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))=(emptyset)=>~$true))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyE1)).
1.19/1.34	thf(vacuousDall, axiom, (vacuousDall<=>![X1:$i > $o, X2:$i]:(in @ X2 @ emptyset=>X1 @ X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', vacuousDall)).
1.19/1.34	thf(quantDeMorgan1, axiom, (quantDeMorgan1<=>![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan1)).
1.19/1.34	thf(quantDeMorgan2, axiom, (quantDeMorgan2<=>![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2))=>~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan2)).
1.19/1.34	thf(quantDeMorgan3, axiom, (quantDeMorgan3<=>![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan3)).
1.19/1.34	thf(quantDeMorgan4, axiom, (quantDeMorgan4<=>![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2))=>~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan4)).
1.19/1.34	thf(prop2setI, axiom, (prop2setI<=>![X15:$o]:(X15=>in @ emptyset @ (prop2set @ (X15)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2setI)).
1.19/1.34	thf(prop2set2propI, axiom, (prop2set2propI<=>![X16:$o]:(X16=>set2prop @ (prop2set @ (X16)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2set2propI)).
1.19/1.34	thf(notdexE, axiom, (notdexE<=>![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notdexE)).
1.19/1.34	thf(notdallE, axiom, (notdallE<=>![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notdallE)).
1.19/1.34	thf(inCongP, axiom, (inCongP<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4=>in @ X3 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', inCongP)).
1.19/1.34	thf(in__Cong, axiom, (in__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4<=>in @ X3 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', in__Cong)).
1.19/1.34	thf(emptyset__Cong, axiom, (emptyset__Cong<=>(emptyset)=(emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyset__Cong)).
1.19/1.34	thf(setadjoin__Cong, axiom, (setadjoin__Cong<=>![X2:$i, X3:$i]:((X2)=(X3)=>![X14:$i, X18:$i]:((X14)=(X18)=>(setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoin__Cong)).
1.19/1.34	thf(powerset__Cong, axiom, (powerset__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>(powerset @ X4)=(powerset @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powerset__Cong)).
1.19/1.34	thf(setunion__Cong, axiom, (setunion__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>(setunion @ X4)=(setunion @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunion__Cong)).
1.19/1.34	thf(omega__Cong, axiom, (omega__Cong<=>(omega)=(omega)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omega__Cong)).
1.19/1.34	thf(dsetconstr__Cong, axiom, (dsetconstr__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X1:$i > $o, X17:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))))=>(dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))=(dsetconstr @ X5 @ (^[X2:$i]:X17 @ X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstr__Cong)).
1.19/1.34	thf(subsetI1, axiom, (subsetI1<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetI1)).
1.19/1.34	thf(eqimpsubset2, axiom, (eqimpsubset2<=>![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X5 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqimpsubset2)).
1.19/1.34	thf(eqimpsubset1, axiom, (eqimpsubset1<=>![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqimpsubset1)).
1.19/1.34	thf(subsetI2, axiom, (subsetI2<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetI2)).
1.19/1.34	thf(emptysetsubset, axiom, (emptysetsubset<=>![X4:$i]:subset @ emptyset @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetsubset)).
1.19/1.34	thf(subsetE, axiom, (subsetE<=>![X4:$i, X5:$i, X2:$i]:(subset @ X4 @ X5=>(in @ X2 @ X4=>in @ X2 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetE)).
1.19/1.34	thf(subsetE2, axiom, (subsetE2<=>![X4:$i, X5:$i, X2:$i]:(subset @ X4 @ X5=>(~(in @ X2 @ X5)=>~(in @ X2 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetE2)).
1.19/1.34	thf(notsubsetI, axiom, (notsubsetI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>~(subset @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notsubsetI)).
1.19/1.34	thf(notequalI1, axiom, (notequalI1<=>![X4:$i, X5:$i]:(~(subset @ X4 @ X5)=>(X4)!=(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notequalI1)).
1.19/1.34	thf(notequalI2, axiom, (notequalI2<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>(X4)!=(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notequalI2)).
1.19/1.34	thf(subsetRefl, axiom, (subsetRefl<=>![X4:$i]:subset @ X4 @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetRefl)).
1.19/1.34	thf(subsetTrans, axiom, (subsetTrans<=>![X4:$i, X5:$i, X7:$i]:(subset @ X4 @ X5=>(subset @ X5 @ X7=>subset @ X4 @ X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetTrans)).
1.19/1.34	thf(setadjoinSub, axiom, (setadjoinSub<=>![X2:$i, X4:$i]:subset @ X4 @ (setadjoin @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinSub)).
1.19/1.34	thf(setadjoinSub2, axiom, (setadjoinSub2<=>![X4:$i, X2:$i, X5:$i]:(subset @ X4 @ X5=>subset @ X4 @ (setadjoin @ X2 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinSub2)).
1.19/1.34	thf(subset2powerset, axiom, (subset2powerset<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>in @ X4 @ (powerset @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset2powerset)).
1.19/1.34	thf(setextsub, axiom, (setextsub<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(subset @ X5 @ X4=>(X4)=(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setextsub)).
1.19/1.34	thf(subsetemptysetimpeq, axiom, (subsetemptysetimpeq<=>![X4:$i]:(subset @ X4 @ emptyset=>(X4)=(emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetemptysetimpeq)).
1.19/1.34	thf(powersetI1, axiom, (powersetI1<=>![X4:$i, X5:$i]:(subset @ X5 @ X4=>in @ X5 @ (powerset @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetI1)).
1.19/1.34	thf(powersetE1, axiom, (powersetE1<=>![X4:$i, X5:$i]:(in @ X5 @ (powerset @ X4)=>subset @ X5 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetE1)).
1.19/1.34	thf(inPowerset, axiom, (inPowerset<=>![X4:$i]:in @ X4 @ (powerset @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', inPowerset)).
1.19/1.34	thf(powersetsubset, axiom, (powersetsubset<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>subset @ (powerset @ X4) @ (powerset @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetsubset)).
1.19/1.34	thf(sepInPowerset, axiom, (sepInPowerset<=>![X4:$i, X1:$i > $o]:in @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2)) @ (powerset @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sepInPowerset)).
1.19/1.34	thf(sepSubset, axiom, (sepSubset<=>![X4:$i, X1:$i > $o]:subset @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2)) @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sepSubset)).
1.19/1.34	thf(binunionIL, axiom, (binunionIL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (binunion @ X4 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionIL)).
1.19/1.34	thf(upairset2IR, axiom, (upairset2IR<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairset2IR)).
1.19/1.34	thf(binunionIR, axiom, (binunionIR<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X5=>in @ X2 @ (binunion @ X4 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionIR)).
1.19/1.34	thf(binunionEcases, axiom, (binunionEcases<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(in @ X2 @ (binunion @ X4 @ X5)=>((in @ X2 @ X4=>X19)=>((in @ X2 @ X5=>X19)=>X19)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionEcases)).
1.19/1.34	thf(binunionE, axiom, (binunionE<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binunion @ X4 @ X5)=>(in @ X2 @ X4|in @ X2 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionE)).
1.19/1.34	thf(binunionLsub, axiom, (binunionLsub<=>![X4:$i, X5:$i]:subset @ X4 @ (binunion @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionLsub)).
1.19/1.34	thf(binunionRsub, axiom, (binunionRsub<=>![X4:$i, X5:$i]:subset @ X5 @ (binunion @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionRsub)).
1.19/1.34	thf(binintersectI, axiom, (binintersectI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X5=>in @ X2 @ (binintersect @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectI)).
1.19/1.34	thf(binintersectSubset5, axiom, (binintersectSubset5<=>![X4:$i, X5:$i, X7:$i]:(subset @ X7 @ X4=>(subset @ X7 @ X5=>subset @ X7 @ (binintersect @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset5)).
1.19/1.34	thf(binintersectEL, axiom, (binintersectEL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binintersect @ X4 @ X5)=>in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectEL)).
1.19/1.34	thf(binintersectLsub, axiom, (binintersectLsub<=>![X4:$i, X5:$i]:subset @ (binintersect @ X4 @ X5) @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectLsub)).
1.19/1.34	thf(binintersectSubset2, axiom, (binintersectSubset2<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(binintersect @ X4 @ X5)=(X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset2)).
1.19/1.34	thf(binintersectSubset3, axiom, (binintersectSubset3<=>![X4:$i, X5:$i]:((binintersect @ X4 @ X5)=(X5)=>subset @ X5 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset3)).
1.19/1.34	thf(binintersectER, axiom, (binintersectER<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binintersect @ X4 @ X5)=>in @ X2 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectER)).
1.19/1.34	thf(disjointsetsI1, axiom, (disjointsetsI1<=>![X4:$i, X5:$i]:(~(?[X2:$i]:(in @ X2 @ X4&in @ X2 @ X5))=>(binintersect @ X4 @ X5)=(emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', disjointsetsI1)).
1.19/1.34	thf(binintersectRsub, axiom, (binintersectRsub<=>![X4:$i, X5:$i]:subset @ (binintersect @ X4 @ X5) @ X5), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectRsub)).
1.19/1.34	thf(binintersectSubset4, axiom, (binintersectSubset4<=>![X4:$i, X5:$i]:(subset @ X5 @ X4=>(binintersect @ X4 @ X5)=(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset4)).
1.19/1.34	thf(binintersectSubset1, axiom, (binintersectSubset1<=>![X4:$i, X5:$i]:((binintersect @ X4 @ X5)=(X4)=>subset @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset1)).
1.19/1.34	thf(bs114d, axiom, (bs114d<=>![X4:$i, X5:$i, X7:$i]:(binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', bs114d)).
1.19/1.34	thf(setminusI, axiom, (setminusI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusI)).
1.19/1.34	thf(setminusEL, axiom, (setminusEL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (setminus @ X4 @ X5)=>in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusEL)).
1.19/1.34	thf(setminusER, axiom, (setminusER<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (setminus @ X4 @ X5)=>~(in @ X2 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusER)).
1.19/1.34	thf(setminusSubset2, axiom, (setminusSubset2<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(setminus @ X4 @ X5)=(emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusSubset2)).
1.19/1.34	thf(setminusERneg, axiom, (setminusERneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4=>in @ X2 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusERneg)).
1.19/1.34	thf(setminusELneg, axiom, (setminusELneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ (setminus @ X4 @ X5))=>(~(in @ X2 @ X5)=>~(in @ X2 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusELneg)).
1.19/1.34	thf(setminusILneg, axiom, (setminusILneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>~(in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusILneg)).
1.19/1.34	thf(setminusIRneg, axiom, (setminusIRneg<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X5=>~(in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusIRneg)).
1.19/1.34	thf(setminusLsub, axiom, (setminusLsub<=>![X4:$i, X5:$i]:subset @ (setminus @ X4 @ X5) @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusLsub)).
1.19/1.34	thf(setminusSubset1, axiom, (setminusSubset1<=>![X4:$i, X5:$i]:((setminus @ X4 @ X5)=(emptyset)=>subset @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusSubset1)).
1.19/1.34	thf(symdiffE, axiom, (symdiffE<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (symdiff @ X4 @ X5)=>![X20:$o]:((in @ X2 @ X4=>(~(in @ X2 @ X5)=>X20))=>((~(in @ X2 @ X4)=>(in @ X2 @ X5=>X20))=>X20)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffE)).
1.19/1.34	thf(symdiffI1, axiom, (symdiffI1<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>in @ X2 @ (symdiff @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffI1)).
1.19/1.34	thf(symdiffI2, axiom, (symdiffI2<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>(in @ X2 @ X5=>in @ X2 @ (symdiff @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffI2)).
1.19/1.34	thf(symdiffIneg1, axiom, (symdiffIneg1<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X5=>~(in @ X2 @ (symdiff @ X4 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffIneg1)).
1.19/1.34	thf(symdiffIneg2, axiom, (symdiffIneg2<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>(~(in @ X2 @ X5)=>~(in @ X2 @ (symdiff @ X4 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffIneg2)).
1.19/1.34	thf(secondinupair, axiom, (secondinupair<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', secondinupair)).
1.19/1.34	thf(setukpairIL, axiom, (setukpairIL<=>![X2:$i, X3:$i]:in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairIL)).
1.19/1.34	thf(setukpairIR, axiom, (setukpairIR<=>![X2:$i, X3:$i]:in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairIR)).
1.19/1.34	thf(kpairiskpair, axiom, (kpairiskpair<=>![X2:$i, X3:$i]:iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kpairiskpair)).
1.19/1.34	thf(kpairp, axiom, (kpairp<=>![X2:$i, X3:$i]:iskpair @ (kpair @ X2 @ X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kpairp)).
1.19/1.34	thf(singletonsubset, axiom, (singletonsubset<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>subset @ (setadjoin @ X2 @ emptyset) @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletonsubset)).
1.19/1.34	thf(singletoninpowerset, axiom, (singletoninpowerset<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletoninpowerset)).
1.19/1.34	thf(singletoninpowunion, axiom, (singletoninpowunion<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletoninpowunion)).
1.19/1.34	thf(upairset2E, axiom, (upairset2E<=>![X2:$i, X3:$i, X14:$i]:(in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>((X14)=(X2)|(X14)=(X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairset2E)).
1.19/1.34	thf(upairsubunion, axiom, (upairsubunion<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsubunion)).
1.19/1.34	thf(upairinpowunion, axiom, (upairinpowunion<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairinpowunion)).
1.19/1.34	thf(ubforcartprodlem1, axiom, (ubforcartprodlem1<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ubforcartprodlem1)).
1.19/1.34	thf(ubforcartprodlem2, axiom, (ubforcartprodlem2<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ubforcartprodlem2)).
1.19/1.34	thf(ubforcartprodlem3, axiom, (ubforcartprodlem3<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ubforcartprodlem3)).
1.19/1.34	thf(cartprodpairin, axiom, (cartprodpairin<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodpairin)).
1.19/1.34	thf(cartprodmempair1, axiom, (cartprodmempair1<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>?[X2:$i]:(in @ X2 @ X4&?[X3:$i]:(in @ X3 @ X5&(X18)=(kpair @ X2 @ X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodmempair1)).
1.19/1.34	thf(cartprodmempair, axiom, (cartprodmempair<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>iskpair @ X18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodmempair)).
1.19/1.34	thf(setunionE2, axiom, (setunionE2<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)=>?[X21:$i]:(in @ X21 @ X4&in @ X2 @ X21))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionE2)).
1.19/1.34	thf(setunionsingleton1, axiom, (setunionsingleton1<=>![X4:$i]:subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionsingleton1)).
1.19/1.34	thf(setunionsingleton2, axiom, (setunionsingleton2<=>![X4:$i]:subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionsingleton2)).
1.19/1.34	thf(setunionsingleton, axiom, (setunionsingleton<=>![X2:$i]:(setunion @ (setadjoin @ X2 @ emptyset))=(X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionsingleton)).
1.19/1.34	thf(singletonprop, axiom, (singletonprop<=>![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))))=>(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>singleton @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletonprop)).
1.19/1.34	thf(ex1E1, axiom, (ex1E1<=>![X4:$i, X1:$i > $o]:(ex1 @ X4 @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:(in @ X2 @ X4&X1 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ex1E1)).
1.19/1.34	thf(ex1I, axiom, (ex1I<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(![X3:$i]:(in @ X3 @ X4=>(X1 @ X3=>(X3)=(X2)))=>ex1 @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ex1I)).
1.19/1.34	thf(ex1I2, axiom, (ex1I2<=>![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))))=>(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>ex1 @ X4 @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ex1I2)).
1.19/1.34	thf(singletonsuniq, axiom, (singletonsuniq<=>![X2:$i, X3:$i]:((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletonsuniq)).
1.19/1.34	thf(setukpairinjL1, axiom, (setukpairinjL1<=>![X2:$i, X3:$i, X14:$i]:(in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=>(X2)=(X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjL1)).
1.19/1.34	thf(kfstsingleton, axiom, (kfstsingleton<=>![X18:$i]:(iskpair @ X18=>singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:in @ (setadjoin @ X2 @ emptyset) @ X18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kfstsingleton)).
1.19/1.34	thf(theprop, axiom, (theprop<=>![X21:$i]:(singleton @ X21=>in @ (setunion @ X21) @ X21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', theprop)).
1.19/1.34	thf(kfstpairEq, axiom, (kfstpairEq<=>![X2:$i, X3:$i]:(kfst @ (kpair @ X2 @ X3))=(X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kfstpairEq)).
1.19/1.34	thf(cartprodfstin, axiom, (cartprodfstin<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>in @ (kfst @ X18) @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodfstin)).
1.19/1.34	thf(setukpairinjL2, axiom, (setukpairinjL2<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset))=>(X2)=(X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjL2)).
1.19/1.34	thf(setukpairinjL, axiom, (setukpairinjL<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((kpair @ X2 @ X3)=(kpair @ X14 @ X18)=>(X2)=(X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjL)).
1.19/1.34	thf(setukpairinjR11, axiom, (setukpairinjR11<=>![X2:$i, X3:$i]:((X2)=(X3)=>(setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjR11)).
1.19/1.34	thf(setukpairinjR12, axiom, (setukpairinjR12<=>![X2:$i, X3:$i]:((X2)=(X3)=>(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjR12)).
1.19/1.34	thf(setukpairinjR1, axiom, (setukpairinjR1<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset))=>((X14)=(X18)=>(X3)=(X18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjR1)).
1.19/1.34	thf(upairequniteq, axiom, (upairequniteq<=>![X2:$i, X3:$i, X14:$i]:((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairequniteq)).
1.19/1.34	thf(setukpairinjR2, axiom, (setukpairinjR2<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset))=>(X3)=(X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjR2)).
1.19/1.34	thf(setukpairinjR, axiom, (setukpairinjR<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((kpair @ X2 @ X3)=(kpair @ X14 @ X18)=>(X3)=(X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjR)).
1.19/1.34	thf(ksndsingleton, axiom, (ksndsingleton<=>![X18:$i]:(iskpair @ X18=>singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(X18)=(kpair @ (kfst @ X18) @ X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ksndsingleton)).
1.19/1.34	thf(ksndpairEq, axiom, (ksndpairEq<=>![X2:$i, X3:$i]:(ksnd @ (kpair @ X2 @ X3))=(X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ksndpairEq)).
1.19/1.34	thf(kpairsurjEq, axiom, (kpairsurjEq<=>![X18:$i]:(iskpair @ X18=>(kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kpairsurjEq)).
1.19/1.34	thf(cartprodsndin, axiom, (cartprodsndin<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>in @ (ksnd @ X18) @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodsndin)).
1.19/1.34	thf(cartprodpairmemEL, axiom, (cartprodpairmemEL<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5)=>in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodpairmemEL)).
1.19/1.34	thf(cartprodpairmemER, axiom, (cartprodpairmemER<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5)=>in @ X3 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodpairmemER)).
1.19/1.34	thf(cartprodmempaircEq, axiom, (cartprodmempaircEq<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(kpair @ X2 @ X3)=(kpair @ X2 @ X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodmempaircEq)).
1.19/1.34	thf(cartprodfstpairEq, axiom, (cartprodfstpairEq<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodfstpairEq)).
1.19/1.34	thf(cartprodsndpairEq, axiom, (cartprodsndpairEq<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodsndpairEq)).
1.19/1.34	thf(cartprodpairsurjEq, axiom, (cartprodpairsurjEq<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>(kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodpairsurjEq)).
1.19/1.34	thf(dpsetconstrI, axiom, (dpsetconstrI<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(X22 @ X2 @ X3=>in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X22 @ X14 @ X18)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrI)).
1.19/1.34	thf(dpsetconstrSub, axiom, (dpsetconstrSub<=>![X4:$i, X5:$i, X23:$i > $i > $o]:subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:X23 @ X2 @ X3)) @ (cartprod @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrSub)).
1.19/1.34	thf(setOfPairsIsBReln, axiom, (setOfPairsIsBReln<=>![X4:$i, X5:$i, X24:$i > $i > $o]:breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:X24 @ X2 @ X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setOfPairsIsBReln)).
1.19/1.34	thf(dpsetconstrERa, axiom, (dpsetconstrERa<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X25 @ X14 @ X18))=>X25 @ X2 @ X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrERa)).
1.19/1.34	thf(dpsetconstrEL1, axiom, (dpsetconstrEL1<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X26 @ X14 @ X18))=>in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrEL1)).
1.19/1.34	thf(dpsetconstrEL2, axiom, (dpsetconstrEL2<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X27 @ X14 @ X18))=>in @ X3 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrEL2)).
1.19/1.34	thf(dpsetconstrER, axiom, (dpsetconstrER<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:X28 @ X14 @ X18))=>X28 @ X2 @ X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrER)).
1.19/1.34	thf(funcImageSingleton, axiom, (funcImageSingleton<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>singleton @ (dsetconstr @ X5 @ (^[X3:$i]:in @ (kpair @ X2 @ X3) @ X29))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcImageSingleton)).
1.19/1.34	thf(apProp, axiom, (apProp<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:in @ (kpair @ X2 @ X3) @ X29))) @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', apProp)).
1.19/1.34	thf(app, axiom, (app<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', app)).
1.19/1.34	thf(infuncsetfunc, axiom, (infuncsetfunc<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>func @ X4 @ X5 @ X29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', infuncsetfunc)).
1.19/1.34	thf(ap2p, axiom, (ap2p<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X2:$i]:(in @ X2 @ X4=>in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ap2p)).
1.19/1.34	thf(funcinfuncset, axiom, (funcinfuncset<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>in @ X29 @ (funcSet @ X4 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcinfuncset)).
1.19/1.34	thf(lamProp, axiom, (lamProp<=>![X4:$i, X5:$i, X30:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X30 @ X2) @ X5)=>func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(X30 @ X2)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lamProp)).
1.19/1.34	thf(lamp, axiom, (lamp<=>![X4:$i, X5:$i, X31:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X31 @ X2) @ X5)=>func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:X31 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lamp)).
1.19/1.34	thf(lam2p, axiom, (lam2p<=>![X4:$i, X5:$i, X32:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X32 @ X2) @ X5)=>in @ (lam @ X4 @ X5 @ (^[X2:$i]:X32 @ X2)) @ (funcSet @ X4 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lam2p)).
1.19/1.34	thf(brelnall1, axiom, (brelnall1<=>![X4:$i, X5:$i, X33:$i]:(breln @ X4 @ X5 @ X33=>![X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>X1 @ (kpair @ X2 @ X3))))=>![X2:$i]:(in @ X2 @ X33=>X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', brelnall1)).
1.19/1.34	thf(brelnall2, axiom, (brelnall2<=>![X4:$i, X5:$i, X33:$i]:(breln @ X4 @ X5 @ X33=>![X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>X1 @ (kpair @ X2 @ X3))))=>![X2:$i]:(in @ X2 @ X33=>X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', brelnall2)).
1.19/1.34	thf(ex1E2, axiom, (ex1E2<=>![X4:$i, X1:$i > $o]:(ex1 @ X4 @ (^[X2:$i]:X1 @ X2)=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ex1E2)).
1.19/1.34	thf(funcGraphProp1, axiom, (funcGraphProp1<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcGraphProp1)).
1.19/1.34	thf(funcGraphProp3, axiom, (funcGraphProp3<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X2:$i]:(in @ X2 @ X4=>in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcGraphProp3)).
1.19/1.34	thf(funcGraphProp2, axiom, (funcGraphProp2<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X29=>(ap @ X4 @ X5 @ X29 @ X2)=(X3)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcGraphProp2)).
1.19/1.34	thf(funcextLem, axiom, (funcextLem<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X34:$i]:(func @ X4 @ X5 @ X34=>(![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X34=>in @ (kpair @ X2 @ X3) @ X29))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcextLem)).
1.19/1.34	thf(funcGraphProp4, axiom, (funcGraphProp4<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X29=>(ap @ X4 @ X5 @ X29 @ X2)=(X3)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcGraphProp4)).
1.19/1.34	thf(subbreln, axiom, (subbreln<=>![X4:$i, X5:$i, X33:$i]:(breln @ X4 @ X5 @ X33=>![X35:$i]:(breln @ X4 @ X5 @ X35=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>in @ (kpair @ X2 @ X3) @ X35)))=>subset @ X33 @ X35)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subbreln)).
1.19/1.34	thf(eqbreln, axiom, (eqbreln<=>![X4:$i, X5:$i, X33:$i]:(breln @ X4 @ X5 @ X33=>![X35:$i]:(breln @ X4 @ X5 @ X35=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X33=>in @ (kpair @ X2 @ X3) @ X35)))=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>(in @ (kpair @ X2 @ X3) @ X35=>in @ (kpair @ X2 @ X3) @ X33)))=>(X33)=(X35)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqbreln)).
1.19/1.34	thf(funcext, axiom, (funcext<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X34:$i]:(func @ X4 @ X5 @ X34=>(![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))=>(X29)=(X34))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcext)).
1.19/1.34	thf(funcext2, axiom, (funcext2<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X34:$i]:(in @ X34 @ (funcSet @ X4 @ X5)=>(![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))=>(X29)=(X34))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcext2)).
1.19/1.34	thf(ap2apEq1, axiom, (ap2apEq1<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ap2apEq1)).
1.19/1.34	thf(ap2apEq2, axiom, (ap2apEq2<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ap2apEq2)).
1.19/1.34	thf(beta1, axiom, (beta1<=>![X4:$i, X5:$i, X36:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X36 @ X2) @ X5)=>![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:X36 @ X3)) @ X2)=(X36 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', beta1)).
1.19/1.34	thf(eta1, axiom, (eta1<=>![X4:$i, X5:$i, X29:$i]:(func @ X4 @ X5 @ X29=>(lam @ X4 @ X5 @ (^[X2:$i]:ap @ X4 @ X5 @ X29 @ X2))=(X29))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eta1)).
1.19/1.34	thf(lam2lamEq, axiom, (lam2lamEq<=>![X4:$i, X5:$i, X37:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X37 @ X2) @ X5)=>(lam @ X4 @ X5 @ (^[X2:$i]:X37 @ X2))=(lam @ X4 @ X5 @ (^[X2:$i]:X37 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lam2lamEq)).
1.19/1.34	thf(beta2, axiom, (beta2<=>![X4:$i, X5:$i, X38:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X38 @ X2) @ X5)=>![X2:$i]:(in @ X2 @ X4=>(ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:X38 @ X3)) @ X2)=(X38 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', beta2)).
1.19/1.34	thf(eta2, axiom, (eta2<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>(lam @ X4 @ X5 @ (^[X2:$i]:ap @ X4 @ X5 @ X29 @ X2))=(X29))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eta2)).
1.19/1.34	thf(iffalseProp1, axiom, (iffalseProp1<=>![X4:$i, X39:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(~(X39)=>in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((X39&(X14)=(X2))|(~(X39)&(X14)=(X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iffalseProp1)).
1.19/1.34	thf(iffalseProp2, axiom, (iffalseProp2<=>![X4:$i, X40:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(~(X40)=>(dsetconstr @ X4 @ (^[X14:$i]:((X40&(X14)=(X2))|(~(X40)&(X14)=(X3)))))=(setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iffalseProp2)).
1.19/1.34	thf(iftrueProp1, axiom, (iftrueProp1<=>![X4:$i, X41:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X41=>in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((X41&(X14)=(X2))|(~(X41)&(X14)=(X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iftrueProp1)).
1.19/1.34	thf(iftrueProp2, axiom, (iftrueProp2<=>![X4:$i, X42:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X42=>(dsetconstr @ X4 @ (^[X14:$i]:((X42&(X14)=(X2))|(~(X42)&(X14)=(X3)))))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iftrueProp2)).
1.19/1.34	thf(ifSingleton, axiom, (ifSingleton<=>![X4:$i, X43:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((X43&(X14)=(X2))|(~(X43)&(X14)=(X3)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ifSingleton)).
1.19/1.34	thf(ifp, axiom, (ifp<=>![X4:$i, X44:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>in @ (if @ X4 @ (X44) @ X2 @ X3) @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ifp)).
1.19/1.34	thf(theeq, axiom, (theeq<=>![X21:$i]:(singleton @ X21=>![X2:$i]:(in @ X2 @ X21=>(setunion @ X21)=(X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', theeq)).
1.19/1.34	thf(iftrue, axiom, (iftrue<=>![X4:$i, X45:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X45=>(if @ X4 @ (X45) @ X2 @ X3)=(X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iftrue)).
1.19/1.34	thf(iffalse, axiom, (iffalse<=>![X4:$i, X46:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(~(X46)=>(if @ X4 @ (X46) @ X2 @ X3)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iffalse)).
1.19/1.34	thf(iftrueorfalse, axiom, (iftrueorfalse<=>![X4:$i, X47:$o, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>in @ (if @ X4 @ (X47) @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iftrueorfalse)).
1.19/1.34	thf(binintersectT_lem, axiom, (binintersectT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (binintersect @ X21 @ X48) @ (powerset @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectT_lem)).
1.19/1.34	thf(binunionT_lem, axiom, (binunionT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (binunion @ X21 @ X48) @ (powerset @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionT_lem)).
1.19/1.34	thf(powersetT_lem, axiom, (powersetT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>in @ (powerset @ X21) @ (powerset @ (powerset @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetT_lem)).
1.19/1.34	thf(setminusT_lem, axiom, (setminusT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (setminus @ X21 @ X48) @ (powerset @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusT_lem)).
1.19/1.34	thf(complementT_lem, axiom, (complementT_lem<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>in @ (setminus @ X4 @ X21) @ (powerset @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementT_lem)).
1.19/1.34	thf(setextT, axiom, (setextT<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>in @ X2 @ X48))=>(![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X48=>in @ X2 @ X21))=>(X21)=(X48)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setextT)).
1.19/1.34	thf(subsetTI, axiom, (subsetTI<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>in @ X2 @ X48))=>subset @ X21 @ X48)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetTI)).
1.19/1.34	thf(powersetTI1, axiom, (powersetTI1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>in @ X2 @ X48))=>in @ X21 @ (powerset @ X48))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetTI1)).
1.19/1.34	thf(powersetTE1, axiom, (powersetTE1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X21 @ (powerset @ X48)=>(in @ X2 @ X21=>in @ X2 @ X48)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetTE1)).
1.19/1.34	thf(complementTI1, axiom, (complementTI1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>~(in @ X2 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementTI1)).
1.19/1.34	thf(complementTE1, axiom, (complementTE1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ (setminus @ X4 @ X21))=>in @ X2 @ X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementTE1)).
1.19/1.34	thf(binintersectTELcontra, axiom, (binintersectTELcontra<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X21)=>~(in @ X2 @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectTELcontra)).
1.19/1.34	thf(binintersectTERcontra, axiom, (binintersectTERcontra<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X48)=>~(in @ X2 @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectTERcontra)).
1.19/1.34	thf(contrasubsetT, axiom, (contrasubsetT<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(subset @ X21 @ (setminus @ X4 @ X48)=>(in @ X2 @ X48=>~(in @ X2 @ X21))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', contrasubsetT)).
1.19/1.34	thf(contrasubsetT1, axiom, (contrasubsetT1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(subset @ X21 @ X48=>(~(in @ X2 @ X48)=>~(in @ X2 @ X21))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', contrasubsetT1)).
1.19/1.34	thf(contrasubsetT2, axiom, (contrasubsetT2<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(subset @ X21 @ X48=>subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', contrasubsetT2)).
1.19/1.34	thf(contrasubsetT3, axiom, (contrasubsetT3<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21)=>subset @ X21 @ X48)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', contrasubsetT3)).
1.19/1.34	thf(doubleComplementI1, axiom, (doubleComplementI1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X21=>in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', doubleComplementI1)).
1.19/1.34	thf(doubleComplementE1, axiom, (doubleComplementE1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21))=>in @ X2 @ X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', doubleComplementE1)).
1.19/1.34	thf(doubleComplementSub1, axiom, (doubleComplementSub1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>subset @ X21 @ (setminus @ X4 @ (setminus @ X4 @ X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', doubleComplementSub1)).
1.19/1.34	thf(doubleComplementSub2, axiom, (doubleComplementSub2<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>subset @ (setminus @ X4 @ (setminus @ X4 @ X21)) @ X21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', doubleComplementSub2)).
1.19/1.34	thf(doubleComplementEq, axiom, (doubleComplementEq<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>(X21)=(setminus @ X4 @ (setminus @ X4 @ X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', doubleComplementEq)).
1.19/1.34	thf(complementTnotintersectT, axiom, (complementTnotintersectT<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ X21)=>~(in @ X2 @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementTnotintersectT)).
1.19/1.34	thf(complementImpComplementIntersect, axiom, (complementImpComplementIntersect<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ X21)=>in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementImpComplementIntersect)).
1.19/1.34	thf(complementSubsetComplementIntersect, axiom, (complementSubsetComplementIntersect<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>subset @ (setminus @ X4 @ X21) @ (setminus @ X4 @ (binintersect @ X21 @ X48))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementSubsetComplementIntersect)).
1.19/1.34	thf(complementInPowersetComplementIntersect, axiom, (complementInPowersetComplementIntersect<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementInPowersetComplementIntersect)).
1.19/1.34	thf(contraSubsetComplement, axiom, (contraSubsetComplement<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(subset @ X21 @ (setminus @ X4 @ X48)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X48=>in @ X2 @ (setminus @ X4 @ X21))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', contraSubsetComplement)).
1.19/1.34	thf(complementTcontraSubset, axiom, (complementTcontraSubset<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(subset @ X21 @ (setminus @ X4 @ X48)=>subset @ X48 @ (setminus @ X4 @ X21))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementTcontraSubset)).
1.19/1.34	thf(binunionTILcontra, axiom, (binunionTILcontra<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ (binunion @ X21 @ X48))=>~(in @ X2 @ X21)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionTILcontra)).
1.19/1.34	thf(binunionTIRcontra, axiom, (binunionTIRcontra<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ (binunion @ X21 @ X48))=>~(in @ X2 @ X48)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionTIRcontra)).
1.19/1.34	thf(inIntersectImpInUnion, axiom, (inIntersectImpInUnion<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X49:$i]:(in @ X49 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (binintersect @ X21 @ X48)=>in @ X2 @ (binunion @ X21 @ X49))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', inIntersectImpInUnion)).
1.19/1.34	thf(inIntersectImpInUnion2, axiom, (inIntersectImpInUnion2<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X49:$i]:(in @ X49 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (binintersect @ X21 @ X48)=>in @ X2 @ (binunion @ X48 @ X49))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', inIntersectImpInUnion2)).
1.19/1.34	thf(inIntersectImpInIntersectUnions, axiom, (inIntersectImpInIntersectUnions<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X49:$i]:(in @ X49 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (binintersect @ X21 @ X48)=>in @ X2 @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', inIntersectImpInIntersectUnions)).
1.19/1.34	thf(intersectInPowersetIntersectUnions, axiom, (intersectInPowersetIntersectUnions<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X49:$i]:(in @ X49 @ (powerset @ X4)=>in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersectInPowersetIntersectUnions)).
1.19/1.34	thf(inComplementUnionImpNotIn1, axiom, (inComplementUnionImpNotIn1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48))=>~(in @ X2 @ X21)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', inComplementUnionImpNotIn1)).
1.19/1.34	thf(inComplementUnionImpInComplement1, axiom, (inComplementUnionImpInComplement1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48))=>in @ X2 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', inComplementUnionImpInComplement1)).
1.19/1.34	thf(binunionTE, axiom, (binunionTE<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X50:$o, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (binunion @ X21 @ X48)=>((in @ X2 @ X21=>X50)=>((in @ X2 @ X48=>X50)=>X50))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionTE)).
1.19/1.34	thf(binunionTEcontra, axiom, (binunionTEcontra<=>![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 @ X2 @ (binunion @ X21 @ X48)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionTEcontra)).
1.19/1.34	thf(demorgan2a1, axiom, (demorgan2a1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48))=>in @ X2 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', demorgan2a1)).
1.19/1.34	thf(complementUnionInPowersetComplement, axiom, (complementUnionInPowersetComplement<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (setminus @ X4 @ (binunion @ X21 @ X48)) @ (powerset @ (setminus @ X4 @ X21))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', complementUnionInPowersetComplement)).
1.19/1.34	thf(demorgan2a2, axiom, (demorgan2a2<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48))=>in @ X2 @ (setminus @ X4 @ X48)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', demorgan2a2)).
1.19/1.34	thf(demorgan1a, axiom, (demorgan1a<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))=>in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', demorgan1a)).
1.19/1.34	thf(demorgan1b, axiom, (demorgan1b<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))=>in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', demorgan1b)).
1.19/1.34	thf(demorgan1, axiom, (demorgan1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(setminus @ X4 @ (binintersect @ X21 @ X48))=(binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', demorgan1)).
1.19/1.34	thf(demorgan2a, axiom, (demorgan2a<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48))=>in @ X2 @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', demorgan2a)).
1.19/1.34	thf(demorgan2b2, axiom, (demorgan2b2<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (setminus @ X4 @ X21)=>(in @ X2 @ (setminus @ X4 @ X48)=>in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', demorgan2b2)).
1.19/1.34	thf(demorgan2b, axiom, (demorgan2b<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))=>in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', demorgan2b)).
1.19/1.34	thf(demorgan2, axiom, (demorgan2<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(setminus @ X4 @ (binunion @ X21 @ X48))=(binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', demorgan2)).
1.19/1.34	thf(woz13rule0, axiom, (woz13rule0<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X2:$i]:(in @ X2 @ (binintersect @ X21 @ X48)=>in @ X2 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', woz13rule0)).
1.19/1.34	thf(woz13rule1, axiom, (woz13rule1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X49:$i]:(in @ X49 @ (powerset @ X4)=>(subset @ X21 @ X49=>subset @ (binintersect @ X21 @ X48) @ X49))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', woz13rule1)).
1.19/1.34	thf(woz13rule2, axiom, (woz13rule2<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X49:$i]:(in @ X49 @ (powerset @ X4)=>(subset @ X48 @ X49=>subset @ (binintersect @ X21 @ X48) @ X49))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', woz13rule2)).
1.19/1.34	thf(woz13rule3, axiom, (woz13rule3<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X49:$i]:(in @ X49 @ (powerset @ X4)=>(subset @ X21 @ X48=>(subset @ X21 @ X49=>subset @ X21 @ (binintersect @ X48 @ X49))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', woz13rule3)).
1.19/1.34	thf(woz13rule4, axiom, (woz13rule4<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X49:$i]:(in @ X49 @ (powerset @ X4)=>![X51:$i]:(in @ X51 @ (powerset @ X4)=>(subset @ X21 @ X49=>(subset @ X48 @ X51=>subset @ (binintersect @ X21 @ X48) @ (binintersect @ X49 @ X51)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', woz13rule4)).
1.19/1.34	thf(woz1_1, axiom, (woz1_1<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', woz1_1)).
1.19/1.34	thf(woz1_2, axiom, (woz1_2<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X49:$i]:(in @ X49 @ (powerset @ X4)=>![X51:$i]:(in @ X51 @ (powerset @ X4)=>(setminus @ X4 @ (binintersect @ (binunion @ X21 @ X48) @ (binunion @ X49 @ X51)))=(binunion @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)) @ (binintersect @ (setminus @ X4 @ X49) @ (setminus @ X4 @ X51)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', woz1_2)).
1.19/1.34	thf(woz1_3, axiom, (woz1_3<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>![X49:$i]:(in @ X49 @ (powerset @ X4)=>in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', woz1_3)).
1.19/1.34	thf(woz1_4, axiom, (woz1_4<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>(subset @ X21 @ (setminus @ X4 @ X48)=>subset @ X48 @ (setminus @ X4 @ X21))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', woz1_4)).
1.19/1.34	thf(woz1_5, axiom, (woz1_5<=>![X4:$i, X21:$i]:(in @ X21 @ (powerset @ X4)=>![X48:$i]:(in @ X48 @ (powerset @ X4)=>in @ (setminus @ X4 @ (binunion @ X21 @ X48)) @ (powerset @ (setminus @ X4 @ X21))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', woz1_5)).
1.19/1.34	thf(breln1all2, axiom, (breln1all2<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(in @ (kpair @ X2 @ X3) @ X33=>X1 @ (kpair @ X2 @ X3))))=>![X2:$i]:(in @ X2 @ X33=>X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1all2)).
1.19/1.34	thf(breln1SetBreln1, axiom, (breln1SetBreln1<=>![X4:$i, X33:$i]:(in @ X33 @ (breln1Set @ X4)=>breln1 @ X4 @ X33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1SetBreln1)).
1.19/1.34	thf(choice2fnsingleton, axiom, (choice2fnsingleton<=>![X4:$i, X5:$i, X52:$i > $i > $o]:(![X2:$i]:(in @ X2 @ X4=>?[X3:$i]:(in @ X3 @ X5&X52 @ X2 @ X3))=>![X33:$i]:(in @ X33 @ (breln1Set @ X5)=>(reflwellordering @ X5 @ X33=>![X2:$i]:(in @ X2 @ X4=>singleton @ (dsetconstr @ X5 @ (^[X3:$i]:(X52 @ X2 @ X3&![X14:$i]:(in @ X14 @ X5=>(X52 @ X2 @ X14=>in @ (kpair @ X3 @ X14) @ X33)))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', choice2fnsingleton)).
1.19/1.34	thf(setOfPairsIsBReln1, axiom, (setOfPairsIsBReln1<=>![X4:$i, X53:$i > $i > $o]:breln1 @ X4 @ (dpsetconstr @ X4 @ X4 @ (^[X2:$i, X3:$i]:X53 @ X2 @ X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setOfPairsIsBReln1)).
1.19/1.34	thf(breln1all1, axiom, (breln1all1<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(in @ (kpair @ X2 @ X3) @ X33=>X1 @ (kpair @ X2 @ X3))))=>![X2:$i]:(in @ X2 @ X33=>X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1all1)).
1.19/1.34	thf(subbreln1, axiom, (subbreln1<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X35:$i]:(breln1 @ X4 @ X35=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(in @ (kpair @ X2 @ X3) @ X33=>in @ (kpair @ X2 @ X3) @ X35)))=>subset @ X33 @ X35)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subbreln1)).
1.19/1.34	thf(eqbreln1, axiom, (eqbreln1<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X35:$i]:(breln1 @ X4 @ X35=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(in @ (kpair @ X2 @ X3) @ X33=>in @ (kpair @ X2 @ X3) @ X35)))=>(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(in @ (kpair @ X2 @ X3) @ X35=>in @ (kpair @ X2 @ X3) @ X33)))=>(X33)=(X35)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqbreln1)).
1.19/1.34	thf(breln1invprop, axiom, (breln1invprop<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>breln1 @ X4 @ (breln1invset @ X4 @ X33))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1invprop)).
1.19/1.34	thf(breln1invI, axiom, (breln1invI<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(in @ (kpair @ X2 @ X3) @ X33=>in @ (kpair @ X3 @ X2) @ (breln1invset @ X4 @ X33)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1invI)).
1.19/1.34	thf(breln1invE, axiom, (breln1invE<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(in @ (kpair @ X3 @ X2) @ (breln1invset @ X4 @ X33)=>in @ (kpair @ X2 @ X3) @ X33))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1invE)).
1.19/1.34	thf(breln1compprop, axiom, (breln1compprop<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X35:$i]:(breln1 @ X4 @ X35=>breln1 @ X4 @ (breln1compset @ X4 @ X33 @ X35)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1compprop)).
1.19/1.34	thf(breln1compI, axiom, (breln1compI<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X35:$i]:(breln1 @ X4 @ X35=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>![X14:$i]:(in @ X14 @ X4=>(in @ (kpair @ X2 @ X14) @ X33=>(in @ (kpair @ X14 @ X3) @ X35=>in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1compI)).
1.19/1.34	thf(breln1compE, axiom, (breln1compE<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X35:$i]:(breln1 @ X4 @ X35=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35)=>?[X14:$i]:((in @ X14 @ X4&in @ (kpair @ X2 @ X14) @ X33)&in @ (kpair @ X14 @ X3) @ X35))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1compE)).
1.19/1.34	thf(breln1compEex, axiom, (breln1compEex<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X35:$i]:(breln1 @ X4 @ X35=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35)=>![X54:$o]:(![X14:$i]:(in @ X14 @ X4=>(in @ (kpair @ X2 @ X14) @ X33=>(in @ (kpair @ X14 @ X3) @ X35=>X54)))=>X54))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1compEex)).
1.19/1.34	thf(breln1unionprop, axiom, (breln1unionprop<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X35:$i]:(breln1 @ X4 @ X35=>breln1 @ X4 @ (binunion @ X33 @ X35)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1unionprop)).
1.19/1.34	thf(breln1unionIL, axiom, (breln1unionIL<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X35:$i]:(breln1 @ X4 @ X35=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(in @ (kpair @ X2 @ X3) @ X33=>in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1unionIL)).
1.19/1.34	thf(breln1unionIR, axiom, (breln1unionIR<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X35:$i]:(breln1 @ X4 @ X35=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(in @ (kpair @ X2 @ X3) @ X35=>in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1unionIR)).
1.19/1.34	thf(breln1unionI, axiom, (breln1unionI<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X35:$i]:(breln1 @ X4 @ X35=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>((in @ (kpair @ X2 @ X3) @ X33|in @ (kpair @ X2 @ X3) @ X35)=>in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1unionI)).
1.19/1.34	thf(breln1unionE, axiom, (breln1unionE<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X35:$i]:(breln1 @ X4 @ X35=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35)=>(in @ (kpair @ X2 @ X3) @ X33|in @ (kpair @ X2 @ X3) @ X35))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1unionE)).
1.19/1.34	thf(breln1unionEcases, axiom, (breln1unionEcases<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X35:$i]:(breln1 @ X4 @ X35=>![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35)=>![X55:$o]:((in @ (kpair @ X2 @ X3) @ X33=>X55)=>((in @ (kpair @ X2 @ X3) @ X35=>X55)=>X55)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1unionEcases)).
1.19/1.34	thf(breln1unionCommutes, axiom, (breln1unionCommutes<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X35:$i]:(breln1 @ X4 @ X35=>(binunion @ X33 @ X35)=(binunion @ X35 @ X33)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1unionCommutes)).
1.19/1.34	thf(woz2Ex, axiom, (woz2Ex<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>(X33)=(breln1invset @ X4 @ (breln1invset @ X4 @ X33)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', woz2Ex)).
1.19/1.34	thf(woz2W, axiom, (woz2W<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X35:$i]:(breln1 @ X4 @ X35=>(breln1invset @ X4 @ (breln1compset @ X4 @ X33 @ X35))=(breln1compset @ X4 @ (breln1invset @ X4 @ X35) @ (breln1invset @ X4 @ X33))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', woz2W)).
1.19/1.34	thf(woz2A, axiom, (woz2A<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X35:$i]:(breln1 @ X4 @ X35=>![X56:$i]:(breln1 @ X4 @ X56=>(breln1compset @ X4 @ (binunion @ X33 @ X35) @ X56)=(binunion @ (breln1compset @ X4 @ X33 @ X56) @ (breln1compset @ X4 @ X35 @ X56)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', woz2A)).
1.19/1.34	thf(woz2B, axiom, (woz2B<=>![X4:$i, X33:$i]:(breln1 @ X4 @ X33=>![X35:$i]:(breln1 @ X4 @ X35=>![X56:$i]:(breln1 @ X4 @ X56=>(breln1compset @ X4 @ (binunion @ X33 @ X35) @ X56)=(binunion @ (breln1invset @ X4 @ (breln1compset @ X4 @ (breln1invset @ X4 @ X56) @ (breln1invset @ X4 @ X35))) @ (breln1invset @ X4 @ (breln1compset @ X4 @ (breln1invset @ X4 @ X56) @ (breln1invset @ X4 @ X33)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', woz2B)).
1.19/1.34	thf(image1Ex, axiom, (image1Ex<=>![X4:$i, X57:$i > $i]:?[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&(X2)=(X57 @ X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', image1Ex)).
1.19/1.34	thf(image1Equiv, axiom, (image1Equiv<=>![X4:$i, X59:$i > $i, X2:$i]:(in @ X2 @ (image1 @ X4 @ (^[X3:$i]:X59 @ X3))<=>?[X3:$i]:(in @ X3 @ X4&(X2)=(X59 @ X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', image1Equiv)).
1.19/1.34	thf(image1E, axiom, (image1E<=>![X4:$i, X60:$i > $i, X2:$i]:(in @ X2 @ (image1 @ X4 @ (^[X3:$i]:X60 @ X3))=>?[X3:$i]:(in @ X3 @ X4&(X2)=(X60 @ X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', image1E)).
1.19/1.34	thf(image1I, axiom, (image1I<=>![X4:$i, X61:$i > $i, X2:$i]:(?[X3:$i]:(in @ X3 @ X4&(X2)=(X61 @ X3))=>in @ X2 @ (image1 @ X4 @ (^[X3:$i]:X61 @ X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', image1I)).
1.19/1.34	thf(injFuncInInjFuncSet, axiom, (injFuncInInjFuncSet<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ X5)=>(injective @ X4 @ X5 @ X29=>in @ X29 @ (injFuncSet @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', injFuncInInjFuncSet)).
1.19/1.34	thf(injFuncSetFuncIn, axiom, (injFuncSetFuncIn<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (injFuncSet @ X4 @ X5)=>in @ X29 @ (funcSet @ X4 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', injFuncSetFuncIn)).
1.19/1.34	thf(injFuncSetFuncInj, axiom, (injFuncSetFuncInj<=>![X2:$i, X3:$i, X29:$i]:(in @ X29 @ (injFuncSet @ X2 @ X3)=>injective @ X2 @ X3 @ X29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', injFuncSetFuncInj)).
1.19/1.34	thf(surjFuncSetFuncIn, axiom, (surjFuncSetFuncIn<=>![X4:$i, X5:$i, X29:$i]:(in @ X29 @ (surjFuncSet @ X4 @ X5)=>in @ X29 @ (funcSet @ X4 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', surjFuncSetFuncIn)).
1.19/1.34	thf(surjFuncSetFuncSurj, axiom, (surjFuncSetFuncSurj<=>![X2:$i, X3:$i, X29:$i]:(in @ X29 @ (surjFuncSet @ X2 @ X3)=>surjective @ X2 @ X3 @ X29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', surjFuncSetFuncSurj)).
1.19/1.34	thf(leftInvIsSurj, axiom, (leftInvIsSurj<=>![X4:$i, X5:$i, X62:$i > $i]:(![X2:$i]:(in @ X2 @ X4=>in @ (X62 @ X2) @ X5)=>![X34:$i]:(in @ X34 @ (funcSet @ X5 @ X4)=>(![X2:$i]:(in @ X2 @ X4=>(ap @ X5 @ X4 @ X34 @ (X62 @ X2))=(X2))=>surjective @ X5 @ X4 @ X34)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', leftInvIsSurj)).
1.19/1.34	thf(surjCantorThm, axiom, (surjCantorThm<=>![X4:$i, X29:$i]:(in @ X29 @ (funcSet @ X4 @ (powerset @ X4))=>~(surjective @ X4 @ (powerset @ X4) @ X29))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', surjCantorThm)).
1.19/1.34	thf(notinself, axiom, (notinself<=>![X4:$i]:~(in @ X4 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notinself)).
1.19/1.34	thf(notinself2, axiom, (notinself2<=>![X4:$i, X5:$i]:(in @ X4 @ X5=>~(in @ X5 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notinself2)).
1.19/1.34	thf(omegaSp, axiom, (omegaSp<=>![X2:$i]:(in @ X2 @ omega=>in @ (omegaS @ X2) @ omega)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omegaSp)).
1.19/1.34	thf(omegaSclos, axiom, (omegaSclos<=>![X2:$i]:(in @ X2 @ omega=>in @ (setadjoin @ X2 @ X2) @ omega)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omegaSclos)).
1.19/1.34	thf(peano0notS, axiom, (peano0notS<=>![X2:$i]:(in @ X2 @ omega=>(omegaS @ X2)!=(emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', peano0notS)).
1.19/1.34	thf(peanoSinj, axiom, (peanoSinj<=>![X2:$i]:(in @ X2 @ omega=>![X3:$i]:(in @ X3 @ omega=>((omegaS @ X2)=(omegaS @ X3)=>(X2)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', peanoSinj)).
1.19/1.34	thf(c_0_341, axiom, (wellorderedByIn)=(^[X4:$i]:(((![X1195:$i]:(in @ X1195 @ X4=>![X1196:$i]:(in @ X1196 @ X4=>![X1197:$i]:(in @ X1197 @ X4=>((in @ X1195 @ X1196&in @ X1196 @ X1197)=>in @ X1195 @ X1197))))&![X1198:$i]:(in @ X1198 @ X4=>![X1199:$i]:(in @ X1199 @ X4=>(((X1198)=(X1199)|in @ X1198 @ X1199)|in @ X1199 @ X1198))))&![X1200:$i]:(in @ X1200 @ X4=>~(in @ X1200 @ X1200)))&![X21:$i]:(in @ X21 @ (powerset @ X4)=>((X21)!=(emptyset)=>?[X2:$i]:(in @ X2 @ X21&![X48:$i]:(in @ X48 @ X21=>((X2)=(X48)|in @ X2 @ X48))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[wellorderedByIn, nonempty]), stricttotalorderedByIn])).
1.19/1.34	thf(c_0_342, axiom, (ordinal)=(^[X2:$i]:(![X1201:$i]:(in @ X1201 @ X2=>subset @ X1201 @ X2)&(((![X1202:$i]:(in @ X1202 @ X2=>![X1203:$i]:(in @ X1203 @ X2=>![X1204:$i]:(in @ X1204 @ X2=>((in @ X1202 @ X1203&in @ X1203 @ X1204)=>in @ X1202 @ X1204))))&![X1205:$i]:(in @ X1205 @ X2=>![X1206:$i]:(in @ X1206 @ X2=>(((X1205)=(X1206)|in @ X1205 @ X1206)|in @ X1206 @ X1205))))&![X1207:$i]:(in @ X1207 @ X2=>~(in @ X1207 @ X1207)))&![X1208:$i]:(in @ X1208 @ (powerset @ X2)=>((X1208)!=(emptyset)=>?[X1209:$i]:(in @ X1209 @ X1208&![X1210:$i]:(in @ X1210 @ X1208=>((X1209)=(X1210)|in @ X1209 @ X1210)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[ordinal, transitiveset]), c_0_341])).
1.19/1.34	thf(c_0_343, plain, ![X21:$i]:(epred14_1 @ X21<=>(![X1242:$i]:(in @ X1242 @ X21=>subset @ X1242 @ X21)&(((![X1243:$i]:(in @ X1243 @ X21=>![X1244:$i]:(in @ X1244 @ X21=>![X1245:$i]:(in @ X1245 @ X21=>((in @ X1243 @ X1244&in @ X1244 @ X1245)=>in @ X1243 @ X1245))))&![X1246:$i]:(in @ X1246 @ X21=>![X1247:$i]:(in @ X1247 @ X21=>((X1246)=(X1247)|in @ X1246 @ X1247|in @ X1247 @ X1246))))&![X1248:$i]:(in @ X1248 @ X21=>~in @ X1248 @ X1248))&![X1249:$i]:(in @ X1249 @ (powerset @ X21)=>((X1249)!=(emptyset)=>?[X1250:$i]:(in @ X1250 @ X1249&![X1251:$i]:(in @ X1251 @ X1249=>((X1250)=(X1251)|in @ X1250 @ X1251)))))))), introduced(definition)).
1.19/1.34	thf(c_0_344, axiom, (replAx)=(![X6:$i > $i > $o, X4:$i]:(![X2:$i]:(in @ X2 @ X4=>?[X1150:$i]:(X6 @ X2 @ X1150&![X1152:$i]:(X6 @ X2 @ X1152=>(X1150)=(X1152))))=>?[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))), inference(apply_def,[status(thm)],[replAx, exu])).
1.19/1.34	thf(c_0_345, axiom, (descrp)=(![X1:$i > $o]:(?[X1153:$i]:(X1 @ X1153&![X1154:$i]:(X1 @ X1154=>(X1153)=(X1154)))=>X1 @ (descr @ (^[X2:$i]:X1 @ X2)))), inference(apply_def,[status(thm)],[descrp, exu])).
1.19/1.34	thf(c_0_346, axiom, (exuE1)=(![X1:$i > $o]:(?[X1155:$i]:(X1 @ X1155&![X1156:$i]:(X1 @ X1156=>(X1155)=(X1156)))=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuE1, exu])).
1.19/1.34	thf(c_0_347, axiom, (exuE3e)=(![X1:$i > $o]:(?[X1157:$i]:(X1 @ X1157&![X1158:$i]:(X1 @ X1158=>(X1157)=(X1158)))=>?[X2:$i]:X1 @ X2)), inference(apply_def,[status(thm)],[exuE3e, exu])).
1.19/1.34	thf(c_0_348, axiom, (nonemptyE1)=(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:in @ X2 @ X4)), inference(apply_def,[status(thm)],[nonemptyE1, nonempty])).
1.19/1.34	thf(c_0_349, axiom, (nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))!=(emptyset)))), inference(apply_def,[status(thm)],[nonemptyI, nonempty])).
1.19/1.34	thf(c_0_350, axiom, (nonemptyI1)=(![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>(X4)!=(emptyset))), inference(apply_def,[status(thm)],[nonemptyI1, nonempty])).
1.19/1.34	thf(c_0_351, axiom, (exuE2)=(![X1:$i > $o]:(?[X1159:$i]:(X1 @ X1159&![X1160:$i]:(X1 @ X1160=>(X1159)=(X1160)))=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))), inference(apply_def,[status(thm)],[exuE2, exu])).
1.19/1.34	thf(c_0_352, axiom, (nonemptyImpWitness)=(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:(in @ X2 @ X4&$true))), inference(apply_def,[status(thm)],[nonemptyImpWitness, nonempty])).
1.19/1.34	thf(c_0_353, axiom, (exuI1)=(![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>?[X1161:$i]:(X1 @ X1161&![X1162:$i]:(X1 @ X1162=>(X1161)=(X1162))))), inference(apply_def,[status(thm)],[exuI1, exu])).
1.19/1.34	thf(c_0_354, axiom, (exuI3)=(![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>?[X1163:$i]:(X1 @ X1163&![X1164:$i]:(X1 @ X1164=>(X1163)=(X1164)))))), inference(apply_def,[status(thm)],[exuI3, exu])).
1.19/1.34	thf(c_0_355, axiom, (exuI2)=(![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>?[X1165:$i]:(X1 @ X1165&![X1166:$i]:(X1 @ X1166=>(X1165)=(X1166))))), inference(apply_def,[status(thm)],[exuI2, exu])).
1.19/1.34	thf(c_0_356, axiom, (exuE3u)=(![X1:$i > $o]:(?[X1167:$i]:(X1 @ X1167&![X1168:$i]:(X1 @ X1168=>(X1167)=(X1168)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuE3u, exu])).
1.19/1.34	thf(c_0_357, axiom, (exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X1169:$i]:(X1 @ X1169&![X1170:$i]:(X1 @ X1170=>(X1169)=(X1170)))<=>?[X1171:$i]:(X17 @ X1171&![X1172:$i]:(X17 @ X1172=>(X1171)=(X1172)))))), inference(apply_def,[status(thm)],[exu__Cong, exu])).
1.19/1.34	thf(c_0_358, axiom, (exuEu)=(![X1:$i > $o]:(?[X1173:$i]:(X1 @ X1173&![X1174:$i]:(X1 @ X1174=>(X1173)=(X1174)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuEu, exu])).
1.19/1.34	thf(c_0_359, axiom, (descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X1175:$i]:(X1 @ X1175&![X1176:$i]:(X1 @ X1176=>(X1175)=(X1176)))=>(?[X1177:$i]:(X17 @ X1177&![X1178:$i]:(X17 @ X1178=>(X1177)=(X1178)))=>(descr @ (^[X2:$i]:X1 @ X2))=(descr @ (^[X2:$i]:X17 @ X2)))))), inference(apply_def,[status(thm)],[descr__Cong, exu])).
1.19/1.34	thf(c_0_360, axiom, (image1Ex1)=(![X4:$i, X58:$i > $i]:?[X1179:$i]:(![X1184:$i]:(in @ X1184 @ X1179<=>?[X1185:$i]:(in @ X1185 @ X4&(X1184)=(X58 @ X1185)))&![X1182:$i]:(![X1186:$i]:(in @ X1186 @ X1182<=>?[X1187:$i]:(in @ X1187 @ X4&(X1186)=(X58 @ X1187)))=>(X1179)=(X1182)))), inference(apply_def,[status(thm)],[image1Ex1, exu])).
1.19/1.34	thf(c_0_361, axiom, (foundation2)=(![X4:$i]:((X4)!=(emptyset)=>?[X21:$i]:(in @ X21 @ X4&(binintersect @ X21 @ X4)=(emptyset)))), inference(apply_def,[status(thm)],[foundation2, nonempty])).
1.19/1.34	thf(c_0_362, axiom, (transitivesetOp1)=(![X21:$i]:(![X1188:$i]:(in @ X1188 @ X21=>subset @ X1188 @ X21)=>![X4:$i]:(in @ X4 @ X21=>subset @ X4 @ X21))), inference(apply_def,[status(thm)],[transitivesetOp1, transitiveset])).
1.19/1.34	thf(c_0_363, axiom, (binintTransitive)=(![X21:$i]:(![X1189:$i]:(in @ X1189 @ X21=>subset @ X1189 @ X21)=>![X48:$i]:(![X1190:$i]:(in @ X1190 @ X48=>subset @ X1190 @ X48)=>![X1191:$i]:(in @ X1191 @ (binintersect @ X21 @ X48)=>subset @ X1191 @ (binintersect @ X21 @ X48))))), inference(apply_def,[status(thm)],[binintTransitive, transitiveset])).
1.19/1.34	thf(c_0_364, axiom, (transitivesetOp2)=(![X21:$i]:(![X1192:$i]:(in @ X1192 @ X21=>subset @ X1192 @ X21)=>![X4:$i, X2:$i]:(in @ X4 @ X21=>(in @ X2 @ X4=>in @ X2 @ X21)))), inference(apply_def,[status(thm)],[transitivesetOp2, transitiveset])).
1.19/1.34	thf(c_0_365, axiom, (setunionTransitive)=(![X21:$i]:(![X2:$i]:(in @ X2 @ X21=>![X1193:$i]:(in @ X1193 @ X2=>subset @ X1193 @ X2))=>![X1194:$i]:(in @ X1194 @ (setunion @ X21)=>subset @ X1194 @ (setunion @ X21)))), inference(apply_def,[status(thm)],[setunionTransitive, transitiveset])).
1.19/1.34	thf(c_0_366, axiom, (ordinalMinLem1)=(![X21:$i]:((![X1211:$i]:(in @ X1211 @ X21=>subset @ X1211 @ X21)&(((![X1212:$i]:(in @ X1212 @ X21=>![X1213:$i]:(in @ X1213 @ X21=>![X1214:$i]:(in @ X1214 @ X21=>((in @ X1212 @ X1213&in @ X1213 @ X1214)=>in @ X1212 @ X1214))))&![X1215:$i]:(in @ X1215 @ X21=>![X1216:$i]:(in @ X1216 @ X21=>(((X1215)=(X1216)|in @ X1215 @ X1216)|in @ X1216 @ X1215))))&![X1217:$i]:(in @ X1217 @ X21=>~(in @ X1217 @ X1217)))&![X1218:$i]:(in @ X1218 @ (powerset @ X21)=>((X1218)!=(emptyset)=>?[X1219:$i]:(in @ X1219 @ X1218&![X1220:$i]:(in @ X1220 @ X1218=>((X1219)=(X1220)|in @ X1219 @ X1220)))))))=>![X48:$i]:((![X1221:$i]:(in @ X1221 @ X48=>subset @ X1221 @ X48)&(((![X1222:$i]:(in @ X1222 @ X48=>![X1223:$i]:(in @ X1223 @ X48=>![X1224:$i]:(in @ X1224 @ X48=>((in @ X1222 @ X1223&in @ X1223 @ X1224)=>in @ X1222 @ X1224))))&![X1225:$i]:(in @ X1225 @ X48=>![X1226:$i]:(in @ X1226 @ X48=>(((X1225)=(X1226)|in @ X1225 @ X1226)|in @ X1226 @ X1225))))&![X1227:$i]:(in @ X1227 @ X48=>~(in @ X1227 @ X1227)))&![X1228:$i]:(in @ X1228 @ (powerset @ X48)=>((X1228)!=(emptyset)=>?[X1229:$i]:(in @ X1229 @ X1228&![X1230:$i]:(in @ X1230 @ X1228=>((X1229)=(X1230)|in @ X1229 @ X1230)))))))=>![X1231:$i]:(in @ X1231 @ (binintersect @ X21 @ X48)=>subset @ X1231 @ (binintersect @ X21 @ X48))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[ordinalMinLem1, transitiveset]), c_0_342])).
1.19/1.34	thf(c_0_367, axiom, (ordinalTransSet)=(![X21:$i]:((![X1232:$i]:(in @ X1232 @ X21=>subset @ X1232 @ X21)&(((![X1233:$i]:(in @ X1233 @ X21=>![X1234:$i]:(in @ X1234 @ X21=>![X1235:$i]:(in @ X1235 @ X21=>((in @ X1233 @ X1234&in @ X1234 @ X1235)=>in @ X1233 @ X1235))))&![X1236:$i]:(in @ X1236 @ X21=>![X1237:$i]:(in @ X1237 @ X21=>(((X1236)=(X1237)|in @ X1236 @ X1237)|in @ X1237 @ X1236))))&![X1238:$i]:(in @ X1238 @ X21=>~(in @ X1238 @ X1238)))&![X1239:$i]:(in @ X1239 @ (powerset @ X21)=>((X1239)!=(emptyset)=>?[X1240:$i]:(in @ X1240 @ X1239&![X1241:$i]:(in @ X1241 @ X1239=>((X1240)=(X1241)|in @ X1240 @ X1241)))))))=>![X2:$i, X4:$i]:(in @ X4 @ X21=>(in @ X2 @ X4=>in @ X2 @ X21)))), inference(apply_def,[status(thm)],[ordinalTransSet, c_0_342])).
1.19/1.34	thf(c_0_368, plain, ![X2:$i, X1:$i > $o]:(epred1_2 @ X1 @ X2<=>X1 @ X2), introduced(definition)).
1.19/1.34	thf(c_0_369, plain, ![X2:$i, X18:$i]:(epred9_2 @ X18 @ X2<=>(X18)=(kpair @ (kfst @ X18) @ X2)), introduced(definition)).
1.19/1.34	thf(c_0_370, plain, ![X3:$i, X2:$i, X24:$i > $i > $o]:(epred4_3 @ X24 @ X2 @ X3<=>X24 @ X2 @ X3), introduced(definition)).
1.19/1.34	thf(c_0_371, plain, ![X3:$i, X36:$i > $i]:(esk1_2 @ X36 @ X3)=(X36 @ X3), introduced(definition)).
1.19/1.34	thf(c_0_372, plain, ![X14:$i, X2:$i, X40:$o, X3:$i]:(epred7_4 @ X3 @ X40 @ X2 @ X14<=>((X40&(X14)=(X2))|(~X40&(X14)=(X3)))), inference(fof_simplification,[status(thm)],[introduced(definition)])).
1.19/1.34	thf(c_0_373, plain, ![X3:$i, X52:$i > $i > $o, X33:$i, X5:$i, X2:$i]:(epred8_5 @ X2 @ X5 @ X33 @ X52 @ X3<=>(X52 @ X2 @ X3&![X14:$i]:(in @ X14 @ X5=>(X52 @ X2 @ X14=>in @ (kpair @ X3 @ X14) @ X33)))), introduced(definition)).
1.19/1.34	thf(c_0_374, plain, ![X3:$i, X2:$i, X30:$i > $i]:(epred6_3 @ X30 @ X2 @ X3<=>(X30 @ X2)=(X3)), introduced(definition)).
1.19/1.34	thf(c_0_375, plain, ![X3:$i, X29:$i, X2:$i]:(epred5_3 @ X2 @ X29 @ X3<=>in @ (kpair @ X2 @ X3) @ X29), introduced(definition)).
1.19/1.34	thf(c_0_376, plain, ![X2:$i, X18:$i]:(epred3_2 @ X18 @ X2<=>in @ (setadjoin @ X2 @ emptyset) @ X18), introduced(definition)).
1.19/1.34	thf(c_0_377, plain, ![X2:$i]:epred2_1 @ X2, inference(fof_simplification,[status(thm)],[introduced(definition)])).
1.19/1.34	thf(c_0_378, plain, (epred10_0<=>![X4:$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)).
1.19/1.34	thf(c_0_379, plain, ![X21:$i]:(epred11_1 @ X21<=>(![X1212:$i]:(in @ X1212 @ X21=>![X1213:$i]:(in @ X1213 @ X21=>![X1214:$i]:(in @ X1214 @ X21=>((in @ X1212 @ X1213&in @ X1213 @ X1214)=>in @ X1212 @ X1214))))&![X1215:$i]:(in @ X1215 @ X21=>![X1216:$i]:(in @ X1216 @ X21=>((X1215)=(X1216)|in @ X1215 @ X1216|in @ X1216 @ X1215))))), introduced(definition)).
1.19/1.34	thf(c_0_380, plain, ![X48:$i]:(epred12_1 @ X48<=>(![X1222:$i]:(in @ X1222 @ X48=>![X1223:$i]:(in @ X1223 @ X48=>![X1224:$i]:(in @ X1224 @ X48=>((in @ X1222 @ X1223&in @ X1223 @ X1224)=>in @ X1222 @ X1224))))&![X1225:$i]:(in @ X1225 @ X48=>![X1226:$i]:(in @ X1226 @ X48=>((X1225)=(X1226)|in @ X1225 @ X1226|in @ X1226 @ X1225))))), introduced(definition)).
1.19/1.34	thf(c_0_381, plain, ![X21:$i]:(epred13_1 @ X21<=>(![X1233:$i]:(in @ X1233 @ X21=>![X1234:$i]:(in @ X1234 @ X21=>![X1235:$i]:(in @ X1235 @ X21=>((in @ X1233 @ X1234&in @ X1234 @ X1235)=>in @ X1233 @ X1235))))&![X1236:$i]:(in @ X1236 @ X21=>![X1237:$i]:(in @ X1237 @ X21=>((X1236)=(X1237)|in @ X1236 @ X1237|in @ X1237 @ X1236))))), introduced(definition)).
1.19/1.34	thf(c_0_382, plain, ![X21:$i]:(epred14_1 @ X21=>(![X1242:$i]:(in @ X1242 @ X21=>subset @ X1242 @ X21)&(((![X1243:$i]:(in @ X1243 @ X21=>![X1244:$i]:(in @ X1244 @ X21=>![X1245:$i]:(in @ X1245 @ X21=>((in @ X1243 @ X1244&in @ X1244 @ X1245)=>in @ X1243 @ X1245))))&![X1246:$i]:(in @ X1246 @ X21=>![X1247:$i]:(in @ X1247 @ X21=>((X1246)=(X1247)|in @ X1246 @ X1247|in @ X1247 @ X1246))))&![X1248:$i]:(in @ X1248 @ X21=>~in @ X1248 @ X1248))&![X1249:$i]:(in @ X1249 @ (powerset @ X21)=>((X1249)!=(emptyset)=>?[X1250:$i]:(in @ X1250 @ X1249&![X1251:$i]:(in @ X1251 @ X1249=>((X1250)=(X1251)|in @ X1250 @ X1251)))))))), inference(split_equiv,[status(thm)],[c_0_343])).
1.19/1.34	thf(c_0_383, negated_conjecture, ~((![X4:$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:$i]:(in @ X2 @ X4=>?[X1150:$i]:(X6 @ X2 @ X1150&![X1152:$i]:(X6 @ X2 @ X1152=>(X1150)=(X1152))))=>?[X5:$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))))=>(epred10_0=>(![X1:$i > $o]:(?[X1153:$i]:(X1 @ X1153&![X1154:$i]:(X1 @ X1154=>(X1153)=(X1154)))=>X1 @ (descr @ (epred1_2 @ X1)))=>(![X4:$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 > $o]:(?[X1155:$i]:(X1 @ X1155&![X1156:$i]:(X1 @ X1156=>(X1155)=(X1156)))=>?[X2:$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 > $o]:(?[X1157:$i]:(X1 @ X1157&![X1158:$i]:(X1 @ X1158=>(X1157)=(X1158)))=>?[X2:$i]:X1 @ X2)=>(![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>(X4)=(X5)))=>(![X4:$i]:(![X2:$i]:~in @ X2 @ X4=>(X4)=(emptyset))=>(![X4:$i]:(![X2:$i]:~in @ X2 @ X4=>(X4)=(emptyset))=>(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (dsetconstr @ X4 @ (epred1_2 @ X1))<=>X1 @ X2))=>(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:in @ X2 @ X4)=>(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(dsetconstr @ X4 @ (epred1_2 @ X1))!=(emptyset)))=>(![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>(X4)!=(emptyset))=>(![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ X3)=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset)=>(![X2:$i, X4:$i, X3:$i]:(in @ X3 @ X4=>in @ X3 @ (setadjoin @ X2 @ X4))=>(![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>![X12:$o]:(((X3)=(X2)=>X12)=>((in @ X3 @ X4=>X12)=>X12)))=>(![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>((X3)=(X2)|in @ X3 @ X4))=>(![X4:$i]:(dsetconstr @ X4 @ epred2_1)=(X4)=>(![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>in @ X5 @ (powerset @ X4))=>(![X4:$i]:in @ emptyset @ (powerset @ X4)=>(![X4:$i]:in @ emptyset @ (powerset @ X4)=>(![X4:$i, X5:$i, X2:$i]:(in @ X5 @ (powerset @ X4)=>(in @ X2 @ X5=>in @ X2 @ X4))=>(![X4:$i, X2:$i, X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>in @ X2 @ (setunion @ X4)))=>(![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)=>![X13:$o]:(![X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>X13))=>X13))=>(![X4:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (powerset @ (setunion @ X4)))=>(![X1:$i > $o]:(?[X1159:$i]:(X1 @ X1159&![X1160:$i]:(X1 @ X1160=>(X1159)=(X1160)))=>?[X2:$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 @ 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setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_344]), foundationAx]), wellorderingAx]), c_0_345]), dsetconstrI]), dsetconstrEL]), dsetconstrER]), c_0_346]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_347]), setext]), emptyI]), noeltsimpempty]), setbeta]), c_0_348]), c_0_349]), c_0_350]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), setoftrueEq]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_351]), c_0_352]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), emptyE1]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_353]), c_0_354]), c_0_355]), inCongP]), in__Cong]), c_0_356]), c_0_357]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_358]), c_0_359]), 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]), ex1E1]), ex1I]), ex1I2]), 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]), setOfPairsIsBReln]), dpsetconstrERa]), dpsetconstrEL1]), dpsetconstrEL2]), dpsetconstrER]), 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complementInPowersetComplementIntersect]), contraSubsetComplement]), complementTcontraSubset]), binunionTILcontra]), binunionTIRcontra]), inIntersectImpInUnion]), inIntersectImpInUnion2]), inIntersectImpInIntersectUnions]), intersectInPowersetIntersectUnions]), inComplementUnionImpNotIn1]), inComplementUnionImpInComplement1]), binunionTE]), binunionTEcontra]), demorgan2a1]), complementUnionInPowersetComplement]), demorgan2a2]), demorgan1a]), demorgan1b]), demorgan1]), demorgan2a]), demorgan2b2]), demorgan2b]), demorgan2]), woz13rule0]), woz13rule1]), woz13rule2]), woz13rule3]), woz13rule4]), woz1_1]), woz1_2]), woz1_3]), woz1_4]), woz1_5]), breln1all2]), breln1SetBreln1]), choice2fnsingleton]), setOfPairsIsBReln1]), breln1all1]), subbreln1]), eqbreln1]), breln1invprop]), breln1invI]), breln1invE]), breln1compprop]), breln1compI]), breln1compE]), breln1compEex]), breln1unionprop]), breln1unionIL]), breln1unionIR]), breln1unionI]), breln1unionE]), breln1unionEcases]), breln1unionCommutes]), woz2Ex]), woz2W]), woz2A]), woz2B]), image1Ex]), c_0_360]), image1Equiv]), image1E]), image1I]), injFuncInInjFuncSet]), injFuncSetFuncIn]), injFuncSetFuncInj]), surjFuncSetFuncIn]), surjFuncSetFuncSurj]), leftInvIsSurj]), surjCantorThm]), c_0_361]), notinself]), notinself2]), omegaSp]), omegaSclos]), peano0notS]), peanoSinj]), c_0_362]), c_0_363]), c_0_364]), c_0_365]), c_0_342]), c_0_366]), c_0_367]), c_0_368]), c_0_368]), c_0_368]), c_0_368]), c_0_368]), c_0_369]), c_0_370]), c_0_370]), c_0_370]), c_0_370]), c_0_371]), c_0_371]), c_0_371]), c_0_371]), c_0_372]), c_0_372]), c_0_370]), c_0_371]), c_0_371]), c_0_371]), c_0_373]), c_0_372]), c_0_372]), c_0_372]), c_0_371]), c_0_371]), c_0_371]), c_0_371]), c_0_368]), c_0_374]), c_0_375]), c_0_375]), c_0_370]), c_0_370]), c_0_370]), c_0_376]), c_0_368]), c_0_368]), c_0_368]), c_0_368]), c_0_368]), c_0_368]), c_0_368]), c_0_368]), c_0_368]), c_0_377]), c_0_368]), c_0_368]), c_0_368])])]), c_0_378]), c_0_379]), c_0_380]), c_0_381]), c_0_343])).
1.19/1.34	thf(c_0_384, plain, ![X2470:$i, X2471:$i, X2472:$i, X2473:$i, X2474:$i, X2475:$i, X2476:$i, X2477:$i, X2478:$i, X2480:$i]:((~in @ X2471 @ X2470|subset @ X2471 @ X2470|~epred14_1 @ X2470)&((((~in @ X2472 @ X2470|(~in @ X2473 @ X2470|(~in @ X2474 @ X2470|(~in @ X2472 @ X2473|~in @ X2473 @ X2474|in @ X2472 @ X2474)))|~epred14_1 @ X2470)&(~in @ X2475 @ X2470|(~in @ X2476 @ X2470|((X2475)=(X2476)|in @ X2475 @ X2476|in @ X2476 @ X2475))|~epred14_1 @ X2470))&(~in @ X2477 @ X2470|~in @ X2477 @ X2477|~epred14_1 @ X2470))&((in @ (esk153_2 @ X2470 @ X2478) @ X2478|(X2478)=(emptyset)|~in @ X2478 @ (powerset @ X2470)|~epred14_1 @ X2470)&(~in @ X2480 @ X2478|((esk153_2 @ X2470 @ X2478)=(X2480)|in @ (esk153_2 @ X2470 @ X2478) @ X2480)|(X2478)=(emptyset)|~in @ X2478 @ (powerset @ X2470)|~epred14_1 @ X2470)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_382])])])])])).
1.19/1.34	thf(c_0_385, negated_conjecture, ![X1252:$i, X1253:$i, X1255:$i, X1256:$i, X1257:$i, X1258:$i, X1259:$i, X1260:$i, X1261:$i, X1262:$i, X1263:$i, X1265:$i, X1266:$i, X1268:$i, X1269:$i, X1270:$i, X1271:$i, X1272:$i, X1274:$i, X1275:$i > $i > $o, X1276:$i, X1278:$i, X1281:$i, X1283:$i, X1284:$i, X1285:$i, X1286:$i, X1288:$i, X1289:$i > $o, X1290:$i, X1292:$i, X1293:$i > $o, X1294:$i, X1295:$i, X1296:$i > $o, X1297:$i, X1298:$i, X1299:$i > $o, X1300:$i, X1301:$i > $o, X1302:$i, X1305:$i, X1306:$o, X1307:$i, X1308:$i, X1309:$o, X1310:$i, X1311:$i, X1312:$i > $o, X1313:$i, X1316:$i, X1317:$i, X1320:$i, X1322:$i, X1324:$i, X1325:$i > $o, X1326:$i, X1327:$i, X1329:$i, X1330:$i > $o, X1331:$i, X1332:$i, X1333:$i, X1334:$i, X1335:$i, X1336:$i, X1337:$i, X1338:$i, X1339:$i, X1340:$i, X1341:$i, X1342:$o, X1343:$i, X1344:$i, X1345:$i, X1346:$i, X1347:$i, X1348:$i, X1350:$i, X1351:$i, X1352:$i, X1353:$i, X1354:$i, X1355:$i, X1356:$i, X1357:$i, X1358:$i, X1359:$i, X1360:$o, X1362:$i, X1363:$i, X1364:$i > $o, X1365:$i, X1368:$i, X1369:$i, X1370:$i, X1372:$i, X1373:$i, X1374:$i, X1375:$i, X1376:$i, X1377:$i, X1378:$i, X1379:$i, X1380:$i, X1381:$i, X1382:$i, X1383:$i, X1384:$i, X1385:$i, X1386:$i, X1387:$i, X1388:$i > $o, X1389:$i, X1390:$i > $o, X1391:$i, X1392:$i, X1393:$i > $o, X1394:$i, X1396:$i, X1397:$i > $o, X1399:$i, X1400:$i, X1401:$i > $o, X1403:$i, X1404:$i, X1405:$i > $o, X1406:$i, X1408:$o, X1409:$o, X1410:$i, X1411:$i > $o, X1413:$i, X1414:$i, X1415:$i > $o, X1416:$i, X1418:$i > $o, X1419:$i, X1422:$i, X1423:$i > $o, X1424:$i, X1428:$i, X1429:$i > $o, X1430:$i, X1433:$i, X1434:$i, X1435:$i, X1436:$i, X1437:$i, X1438:$i, X1439:$i, X1440:$i, X1441:$i, X1442:$i > $o, X1443:$i, X1445:$i, X1446:$i, X1447:$i > $o, X1448:$i > $o, X1451:$i, X1454:$i, X1455:$i, X1458:$i, X1459:$i, X1460:$i, X1461:$i, X1462:$i, X1463:$i, X1464:$i, X1465:$i, X1466:$i, X1467:$i > $o, X1468:$i, X1470:$i, X1471:$i, X1472:$i > $o, X1473:$i > $o, X1476:$i, X1478:$i, X1480:$i, X1481:$i, X1482:$i > $o, X1483:$i > $o, X1486:$i, X1487:$i, X1489:$i, X1490:$i, X1491:$i, X1492:$i, X1493:$i, X1494:$i, X1496:$i, X1497:$i, X1498:$i, X1499:$i, X1500:$i, X1501:$i, X1502:$i, X1503:$i, X1504:$i, X1505:$i, X1506:$i, X1507:$i, X1508:$i, X1509:$i, X1510:$i, X1511:$i, X1512:$i, X1513:$i, X1514:$i, X1515:$i, X1516:$i, X1517:$i, X1518:$i, X1519:$i, X1520:$i, X1521:$i, X1522:$i, X1523:$i, X1524:$i, X1525:$i, X1526:$i, X1527:$i, X1528:$i, X1529:$i, X1530:$i, X1531:$i, X1532:$i, X1533:$i > $o, X1534:$i, X1535:$i > $o, X1536:$i, X1537:$i, X1538:$i, X1539:$i, X1540:$i, X1541:$i, X1542:$i, X1543:$i, X1544:$i, X1545:$i, X1546:$i, X1547:$o, X1548:$i, X1549:$i, X1550:$i, X1551:$i, X1552:$i, X1553:$i, X1554:$i, X1555:$i, X1556:$i, X1557:$i, X1558:$i, X1559:$i, X1560:$i, X1561:$i, X1562:$i, X1563:$i, X1564:$i, X1565:$i, X1566:$i, X1567:$i, X1568:$i, X1569:$i, X1570:$i, X1571:$i, X1572:$i, X1573:$i, X1574:$i, X1576:$i, X1577:$i, X1578:$i, X1579:$i, X1580:$i, X1581:$i, X1582:$i, X1583:$i, X1584:$i, X1585:$i, X1586:$i, X1587:$i, X1588:$i, X1589:$i, X1590:$i, X1591:$i, X1592:$i, X1593:$i, X1594:$i, X1595:$i, X1596:$i, X1597:$i, X1598:$i, X1599:$i, X1600:$i, X1601:$i, X1602:$i, X1603:$i, X1604:$i, X1605:$i, X1606:$i, X1607:$i, X1608:$i, X1609:$i, X1610:$i, X1611:$i, X1612:$i, X1613:$i, X1614:$i, X1615:$o, X1616:$i, X1617:$i, X1618:$i, X1619:$i, X1620:$i, X1621:$i, X1622:$i, X1623:$i, X1624:$i, X1625:$i, X1626:$i, X1627:$i, X1628:$i, X1629:$i, X1630:$i, X1631:$i, X1632:$i, X1633:$i, X1634:$i, X1635:$i, X1636:$i, X1637:$i, X1638:$i, X1639:$i, X1640:$i, X1641:$i, X1642:$i, X1643:$i, X1644:$i, X1645:$i, X1646:$i, X1647:$i, X1648:$i, X1649:$i, X1650:$i, X1651:$i, X1652:$i, X1653:$i, X1654:$i, X1655:$i, X1656:$i, X1657:$i, X1658:$i, X1659:$i, X1660:$i, X1661:$i, X1662:$i, X1663:$i, X1664:$i, X1665:$i, X1666:$i, X1667:$i, X1668:$i, X1669:$i, X1670:$i, X1671:$i, X1672:$i, X1673:$i, X1674:$i, X1677:$i, X1678:$i, X1679:$i, X1680:$i, X1681:$i, X1683:$i, X1684:$i, X1685:$i, X1686:$i, X1687:$i > $o, X1690:$i, X1691:$i, X1692:$i > $o, X1694:$i, X1695:$i > $o, X1696:$i, X1698:$i, X1699:$i > $o, X1702:$i, X1703:$i, X1704:$i, X1705:$i, X1706:$i, X1707:$i, X1708:$i, X1709:$i, X1710:$i, X1711:$i, X1712:$i, X1713:$i, X1714:$i, X1715:$i, X1716:$i, X1717:$i, X1718:$i, X1719:$i, X1720:$i, X1721:$i, X1722:$i, X1723:$i, X1724:$i, X1725:$i, X1726:$i, X1727:$i, X1728:$i, X1729:$i, X1730:$i, X1731:$i, X1732:$i, X1733:$i, X1734:$i, X1735:$i, X1736:$i, X1737:$i, X1738:$i, X1739:$i, X1740:$i, X1741:$i, X1742:$i, X1743:$i, X1744:$i, X1745:$i, X1746:$i, X1747:$i, X1748:$i, X1749:$i, X1750:$i, X1751:$i, X1752:$i, X1753:$i, X1754:$i, X1755:$i, X1756:$i, X1757:$i, X1758:$i, X1759:$i, X1760:$i, X1761:$i, X1762:$i, X1763:$i, X1764:$i, X1765:$i, X1766:$i, X1767:$i, X1768:$i, X1769:$i, X1770:$i, X1771:$i, X1772:$i, X1773:$i, X1774:$i > $i > $o, X1775:$i, X1776:$i, X1777:$i, X1778:$i, X1779:$i > $i > $o, X1780:$i, X1781:$i, X1782:$i > $i > $o, X1783:$i, X1784:$i, X1785:$i > $i > $o, X1786:$i, X1787:$i, X1788:$i, X1789:$i, X1790:$i > $i > $o, X1791:$i, X1792:$i, X1793:$i, X1794:$i, X1795:$i > $i > $o, X1796:$i, X1797:$i, X1798:$i, X1799:$i, X1800:$i > $i > $o, X1801:$i, X1802:$i, X1803:$i, X1804:$i, X1805:$i, X1806:$i, X1807:$i, X1808:$i, X1809:$i, X1810:$i, X1811:$i, X1812:$i, X1813:$i, X1814:$i, X1815:$i, X1816:$i, X1817:$i, X1818:$i, X1819:$i, X1820:$i, X1821:$i, X1822:$i, X1823:$i, X1824:$i, X1825:$i, X1826:$i, X1827:$i > $i, X1829:$i, X1830:$i, X1831:$i > $i, X1833:$i, X1834:$i, X1835:$i > $i, X1837:$i, X1838:$i, X1839:$i, X1840:$i > $o, X1843:$i, X1844:$i, X1845:$i, X1846:$i, X1847:$i > $o, X1850:$i, X1851:$i, X1852:$i > $o, X1853:$i, X1854:$i, X1855:$i, X1856:$i, X1857:$i, X1858:$i, X1859:$i, X1860:$i, X1861:$i, X1862:$i, X1863:$i, X1864:$i, X1865:$i, X1866:$i, X1867:$i, X1868:$i, X1869:$i, X1870:$i, X1871:$i, X1873:$i, X1874:$i, X1875:$i, X1876:$i, X1877:$i, X1878:$i, X1879:$i, X1880:$i, X1881:$i, X1882:$i, X1883:$i, X1886:$i, X1887:$i, X1888:$i, X1889:$i, X1894:$i, X1895:$i, X1896:$i, X1897:$i, X1899:$i, X1900:$i, X1901:$i, X1902:$i, X1904:$i, X1905:$i, X1906:$i, X1907:$i, X1908:$i, X1909:$i, X1910:$i, X1911:$i, X1912:$i, X1913:$i, X1914:$i > $i, X1916:$i, X1917:$i, X1918:$i, X1919:$i, X1920:$i, X1921:$i, X1922:$i > $i, X1924:$i, X1925:$i, X1926:$i > $i, X1928:$i, X1929:$i, X1930:$i, X1931:$i, X1932:$i, X1933:$o, X1934:$i, X1935:$i, X1936:$i, X1937:$o, X1938:$i, X1939:$i, X1940:$i, X1941:$o, X1942:$i, X1943:$i, X1944:$i, X1945:$o, X1946:$i, X1947:$i, X1948:$i, X1949:$o, X1950:$i, X1951:$i, X1952:$i, X1953:$o, X1954:$i, X1955:$i, X1956:$i, X1957:$i, X1958:$i, X1959:$o, X1960:$i, X1961:$i, X1962:$i, X1963:$o, X1964:$i, X1965:$i, X1966:$i, X1967:$o, X1968:$i, X1969:$i, X1970:$i, X1971:$i, X1972:$i, X1973:$i, X1974:$i, X1975:$i, X1976:$i, X1977:$i, X1978:$i, X1979:$i, X1980:$i, X1981:$i, X1982:$i, X1983:$i, X1984:$i, X1985:$i, X1988:$i, X1989:$i, X1990:$i, X1992:$i, X1993:$i, X1994:$i, X1996:$i, X1997:$i, X1998:$i, X1999:$i, X2000:$i, X2001:$i, X2002:$i, X2003:$i, X2004:$i, X2005:$i, X2006:$i, X2007:$i, X2008:$i, X2009:$i, X2010:$i, X2011:$i, X2012:$i, X2013:$i, X2014:$i, X2015:$i, X2016:$i, X2017:$i, X2018:$i, X2019:$i, X2020:$i, X2021:$i, X2022:$i, X2023:$i, X2024:$i, X2025:$i, X2026:$i, X2027:$i, X2028:$i, X2029:$i, X2030:$i, X2031:$i, X2032:$i, X2033:$i, X2034:$i, X2035:$i, X2036:$i, X2037:$i, X2038:$i, X2039:$i, X2040:$i, X2041:$i, X2042:$i, X2043:$i, X2044:$i, X2045:$i, X2046:$i, X2047:$i, X2048:$i, X2049:$i, X2050:$i, X2051:$i, X2052:$i, X2053:$i, X2054:$i, X2055:$i, X2056:$i, X2057:$i, X2058:$i, X2059:$i, X2060:$i, X2061:$i, X2062:$i, X2063:$i, X2064:$i, X2065:$i, X2066:$i, X2067:$i, X2068:$i, X2069:$i, X2070:$i, X2071:$i, X2072:$i, X2073:$i, X2074:$i, X2075:$i, X2076:$i, X2077:$i, X2078:$i, X2079:$i, X2080:$i, X2081:$i, X2082:$i, X2083:$i, X2084:$i, X2085:$i, X2086:$i, X2087:$i, X2088:$i, X2089:$i, X2090:$i, X2091:$i, X2092:$i, X2093:$i, X2094:$i, X2095:$i, X2096:$i, X2097:$i, X2098:$i, X2099:$o, X2100:$i, X2101:$i, X2102:$i, X2103:$i, X2104:$i, X2105:$i, X2106:$i, X2107:$i, X2108:$i, X2109:$i, X2110:$i, X2111:$i, X2112:$i, X2113:$i, X2114:$i, X2115:$i, X2116:$i, X2117:$i, X2118:$i, X2119:$i, X2120:$i, X2121:$i, X2122:$i, X2123:$i, X2124:$i, X2125:$i, X2126:$i, X2127:$i, X2128:$i, X2129:$i, X2130:$i, X2131:$i, X2132:$i, X2133:$i, X2134:$i, X2135:$i, X2136:$i, X2137:$i, X2138:$i, X2139:$i, X2140:$i, X2141:$i, X2142:$i, X2143:$i, X2144:$i, X2145:$i, X2146:$i, X2147:$i, X2148:$i, X2149:$i, X2150:$i, X2151:$i, X2152:$i, X2153:$i, X2154:$i, X2155:$i, X2156:$i, X2157:$i, X2158:$i, X2159:$i, X2160:$i, X2161:$i, X2162:$i, X2163:$i, X2164:$i, X2165:$i, X2166:$i, X2167:$i, X2168:$i, X2169:$i, X2170:$i, X2171:$i, X2172:$i, X2173:$i, X2174:$i, X2175:$i, X2176:$i, X2177:$i, X2178:$i, X2179:$i, X2180:$i, X2181:$i, X2182:$i, X2183:$i > $o, X2186:$i, X2187:$i, X2188:$i, X2189:$i, X2190:$i, X2191:$i > $i > $o, X2193:$i, X2194:$i, X2195:$i, X2196:$i, X2197:$i > $i > $o, X2198:$i, X2199:$i, X2200:$i > $o, X2203:$i, X2204:$i, X2205:$i, X2206:$i, X2209:$i, X2210:$i, X2211:$i, X2216:$i, X2217:$i, X2218:$i, X2219:$i, X2220:$i, X2221:$i, X2222:$i, X2223:$i, X2224:$i, X2225:$i, X2226:$i, X2227:$i, X2228:$i, X2229:$i, X2230:$i, X2231:$i, X2232:$i, X2233:$i, X2234:$i, X2235:$i, X2236:$i, X2237:$i, X2238:$i, X2239:$i, X2241:$i, X2242:$i, X2243:$i, X2244:$i, X2245:$i, X2246:$o, X2248:$i, X2249:$i, X2250:$i, X2251:$i, X2252:$i, X2253:$i, X2254:$i, X2255:$i, X2256:$i, X2257:$i, X2258:$i, X2259:$i, X2260:$i, X2261:$i, X2262:$i, X2263:$i, X2264:$i, X2265:$i, X2266:$i, X2267:$i, X2268:$i, X2269:$i, X2270:$i, X2271:$i, X2272:$i, X2273:$i, X2274:$i, X2275:$i, X2276:$o, X2277:$i, X2278:$i, X2279:$i, X2280:$i, X2281:$i, X2282:$i, X2283:$i, X2284:$i, X2285:$i, X2286:$i, X2287:$i, X2288:$i, X2289:$i, X2290:$i, X2291:$i, X2292:$i, X2293:$i, X2294:$i > $i, X2296:$i, X2298:$i, X2299:$i, X2300:$i, X2301:$i > $i, X2303:$i, X2305:$i, X2306:$i, X2307:$i, X2309:$i, X2311:$i, X2312:$i > $i, X2313:$i, X2315:$i, X2316:$i > $i, X2317:$i, X2318:$i, X2319:$i, X2320:$i > $i, X2321:$i, X2323:$i, X2324:$i > $i, X2325:$i, X2326:$i, X2327:$i, X2328:$i, X2329:$i, X2330:$i, X2331:$i, X2332:$i, X2333:$i, X2334:$i, X2335:$i, X2336:$i, X2337:$i, X2338:$i, X2339:$i, X2340:$i, X2341:$i, X2342:$i, X2343:$i, X2344:$i > $i, X2346:$i, X2348:$i, X2349:$i, X2350:$i, X2352:$i, X2353:$i, X2354:$i, X2355:$i, X2356:$i, X2357:$i, X2358:$i, X2359:$i, X2360:$i, X2362:$i, X2363:$i, X2365:$i, X2367:$i, X2368:$i, X2370:$i, X2371:$i, X2372:$i, X2375:$i, X2376:$i, X2380:$i, X2382:$i, X2386:$i, X2388:$i, X2389:$i, X2393:$i, X2395:$i, X2396:$i]:(((~in @ (esk2_2 @ X1252 @ X1253) @ X1252|~in @ (esk2_2 @ X1252 @ X1253) @ X1253|(X1252)=(X1253))&(in @ (esk2_2 @ X1252 @ X1253) @ X1252|in @ (esk2_2 @ X1252 @ X1253) @ X1253|(X1252)=(X1253)))&(~in @ X1255 @ emptyset&(((~in @ X1258 @ (setadjoin @ X1256 @ X1257)|((X1258)=(X1256)|in @ X1258 @ X1257))&(((X1258)!=(X1256)|in @ X1258 @ (setadjoin @ X1256 @ X1257))&(~in @ X1258 @ X1257|in @ X1258 @ (setadjoin @ X1256 @ X1257))))&(((~in @ X1260 @ (powerset @ X1259)|(~in @ X1261 @ X1260|in @ X1261 @ X1259))&((in @ (esk3_2 @ X1262 @ X1263) @ X1263|in @ X1263 @ (powerset @ X1262))&(~in @ (esk3_2 @ X1262 @ X1263) @ X1262|in @ X1263 @ (powerset @ X1262))))&((((in @ X1266 @ (esk4_2 @ X1265 @ X1266)|~in @ X1266 @ (setunion @ X1265))&(in @ (esk4_2 @ X1265 @ X1266) @ X1265|~in @ X1266 @ (setunion @ X1265)))&(~in @ X1269 @ X1270|~in @ X1270 @ X1268|in @ X1269 @ (setunion @ X1268)))&(in @ emptyset @ omega&((~in @ X1271 @ omega|in @ (setadjoin @ X1271 @ X1271) @ omega)&((((in @ (esk5_1 @ X1272) @ omega|~in @ emptyset @ X1272|(~in @ X1274 @ omega|in @ X1274 @ X1272))&(in @ (esk5_1 @ X1272) @ X1272|~in @ emptyset @ X1272|(~in @ X1274 @ omega|in @ X1274 @ X1272)))&(~in @ (setadjoin @ (esk5_1 @ X1272) @ (esk5_1 @ X1272)) @ X1272|~in @ emptyset @ X1272|(~in @ X1274 @ omega|in @ X1274 @ X1272)))&(((((in @ (esk9_3 @ X1275 @ X1276 @ X1281) @ X1276|~in @ X1281 @ (esk8_2 @ X1275 @ X1276)|in @ (esk6_2 @ X1275 @ X1276) @ 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X1483))|(X1480)!=(X1481))&(X1482 @ (esk51_4 @ X1480 @ X1481 @ X1482 @ X1483)|X1483 @ (esk52_4 @ X1480 @ X1481 @ X1482 @ X1483)|(dsetconstr @ X1480 @ (epred1_2 @ X1482))=(dsetconstr @ X1481 @ (epred1_2 @ X1483))|(X1480)!=(X1481))))))&(((in @ (esk53_2 @ X1486 @ X1487) @ X1486|subset @ X1486 @ X1487)&(~in @ (esk53_2 @ X1486 @ X1487) @ X1487|subset @ X1486 @ X1487))&(((X1489)!=(X1490)|subset @ X1490 @ X1489)&(((X1491)!=(X1492)|subset @ X1491 @ X1492)&(((in @ (esk54_2 @ X1493 @ X1494) @ X1493|subset @ X1493 @ X1494)&(~in @ (esk54_2 @ X1493 @ X1494) @ X1494|subset @ X1493 @ X1494))&(subset @ emptyset @ X1496&((~subset @ X1497 @ X1498|(~in @ X1499 @ X1497|in @ X1499 @ X1498))&((~subset @ X1500 @ X1501|(in @ X1502 @ X1501|~in @ X1502 @ X1500))&((~in @ X1505 @ X1503|(in @ X1505 @ X1504|~subset @ X1503 @ X1504))&((subset @ X1506 @ X1507|(X1506)!=(X1507))&((~in @ X1510 @ X1508|(in @ X1510 @ X1509|(X1508)!=(X1509)))&(subset @ X1511 @ X1511&((~subset @ X1512 @ X1513|(~subset @ X1513 @ X1514|subset 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X2210))))&(((in @ (esk97_3 @ X2209 @ X2210 @ X2211) @ X2209|(X2210)=(X2211)|in @ (esk96_3 @ X2209 @ X2210 @ X2211) @ X2209|~breln1 @ X2209 @ X2211|~breln1 @ X2209 @ X2210)&((in @ (esk98_3 @ X2209 @ X2210 @ X2211) @ X2209|(X2210)=(X2211)|in @ (esk96_3 @ X2209 @ X2210 @ X2211) @ X2209|~breln1 @ X2209 @ X2211|~breln1 @ X2209 @ X2210)&((in @ (kpair @ (esk97_3 @ X2209 @ X2210 @ X2211) @ (esk98_3 @ X2209 @ X2210 @ X2211)) @ X2211|(X2210)=(X2211)|in @ (esk96_3 @ X2209 @ X2210 @ X2211) @ X2209|~breln1 @ X2209 @ X2211|~breln1 @ X2209 @ X2210)&(~in @ (kpair @ (esk97_3 @ X2209 @ X2210 @ X2211) @ (esk98_3 @ X2209 @ X2210 @ X2211)) @ X2210|(X2210)=(X2211)|in @ (esk96_3 @ X2209 @ X2210 @ X2211) @ X2209|~breln1 @ X2209 @ X2211|~breln1 @ X2209 @ X2210))))&(((in @ (esk97_3 @ X2209 @ X2210 @ X2211) @ X2209|(X2210)=(X2211)|in @ (kpair @ (esk95_3 @ X2209 @ X2210 @ X2211) @ (esk96_3 @ X2209 @ X2210 @ X2211)) @ X2210|~breln1 @ X2209 @ X2211|~breln1 @ X2209 @ X2210)&((in @ (esk98_3 @ X2209 @ X2210 @ X2211) @ 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X2224 @ X2225) @ X2223))))&((~breln1 @ X2226 @ X2227|(~breln1 @ X2226 @ X2228|breln1 @ X2226 @ (breln1compset @ X2226 @ X2227 @ X2228)))&((~breln1 @ X2229 @ X2230|(~breln1 @ X2229 @ X2231|(~in @ X2232 @ X2229|(~in @ X2233 @ X2229|(~in @ X2234 @ X2229|(~in @ (kpair @ X2232 @ X2234) @ X2230|(~in @ (kpair @ X2234 @ X2233) @ X2231|in @ (kpair @ X2232 @ X2233) @ (breln1compset @ X2229 @ X2230 @ X2231))))))))&((((in @ (esk99_5 @ X2235 @ X2236 @ X2237 @ X2238 @ X2239) @ X2235|~in @ (kpair @ X2238 @ X2239) @ (breln1compset @ X2235 @ X2236 @ X2237)|~in @ X2239 @ X2235|~in @ X2238 @ X2235|~breln1 @ X2235 @ X2237|~breln1 @ X2235 @ X2236)&(in @ (kpair @ X2238 @ (esk99_5 @ X2235 @ X2236 @ X2237 @ X2238 @ X2239)) @ X2236|~in @ (kpair @ X2238 @ X2239) @ (breln1compset @ X2235 @ X2236 @ X2237)|~in @ X2239 @ X2235|~in @ X2238 @ X2235|~breln1 @ X2235 @ X2237|~breln1 @ X2235 @ X2236))&(in @ (kpair @ (esk99_5 @ X2235 @ X2236 @ X2237 @ X2238 @ X2239) @ X2239) @ X2237|~in @ (kpair @ X2238 @ X2239) @ 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@ X2244 @ X2241|~breln1 @ X2241 @ X2243|~breln1 @ X2241 @ X2242))))&((~breln1 @ X2248 @ X2249|(~breln1 @ X2248 @ X2250|breln1 @ X2248 @ (binunion @ X2249 @ X2250)))&((~breln1 @ X2251 @ X2252|(~breln1 @ X2251 @ X2253|(~in @ X2254 @ X2251|(~in @ X2255 @ X2251|(~in @ (kpair @ X2254 @ X2255) @ X2252|in @ (kpair @ X2254 @ X2255) @ (binunion @ X2252 @ X2253))))))&((~breln1 @ X2256 @ X2257|(~breln1 @ X2256 @ X2258|(~in @ X2259 @ X2256|(~in @ X2260 @ X2256|(~in @ (kpair @ X2259 @ X2260) @ X2258|in @ (kpair @ X2259 @ X2260) @ (binunion @ X2257 @ X2258))))))&(((~in @ (kpair @ X2264 @ X2265) @ X2262|in @ (kpair @ X2264 @ X2265) @ (binunion @ X2262 @ X2263)|~in @ X2265 @ X2261|~in @ X2264 @ X2261|~breln1 @ X2261 @ X2263|~breln1 @ X2261 @ X2262)&(~in @ (kpair @ X2264 @ X2265) @ X2263|in @ (kpair @ X2264 @ X2265) @ (binunion @ X2262 @ X2263)|~in @ X2265 @ X2261|~in @ X2264 @ X2261|~breln1 @ X2261 @ X2263|~breln1 @ X2261 @ X2262))&((~breln1 @ X2266 @ X2267|(~breln1 @ X2266 @ X2268|(~in @ X2269 @ 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X2278|(~breln1 @ X2277 @ X2279|(binunion @ X2278 @ X2279)=(binunion @ X2279 @ X2278)))&((~breln1 @ X2280 @ X2281|(X2281)=(breln1invset @ X2280 @ (breln1invset @ X2280 @ X2281)))&((~breln1 @ X2282 @ X2283|(~breln1 @ X2282 @ X2284|(breln1invset @ X2282 @ (breln1compset @ X2282 @ X2283 @ X2284))=(breln1compset @ X2282 @ (breln1invset @ X2282 @ X2284) @ (breln1invset @ X2282 @ X2283))))&((~breln1 @ X2285 @ X2286|(~breln1 @ X2285 @ X2287|(~breln1 @ X2285 @ X2288|(breln1compset @ X2285 @ (binunion @ X2286 @ X2287) @ X2288)=(binunion @ (breln1compset @ X2285 @ X2286 @ X2288) @ (breln1compset @ X2285 @ X2287 @ X2288)))))&((~breln1 @ X2289 @ X2290|(~breln1 @ X2289 @ X2291|(~breln1 @ X2289 @ X2292|(breln1compset @ X2289 @ (binunion @ X2290 @ X2291) @ X2292)=(binunion @ (breln1invset @ X2289 @ (breln1compset @ X2289 @ (breln1invset @ X2289 @ X2292) @ (breln1invset @ X2289 @ X2291))) @ (breln1invset @ X2289 @ (breln1compset @ X2289 @ (breln1invset @ X2289 @ X2292) @ (breln1invset @ X2289 @ X2290)))))))&((((in @ (esk102_3 @ X2293 @ X2294 @ X2296) @ X2293|~in @ X2296 @ (esk101_2 @ X2293 @ X2294))&((X2296)=(X2294 @ (esk102_3 @ X2293 @ X2294 @ X2296))|~in @ X2296 @ (esk101_2 @ X2293 @ X2294)))&(~in @ X2299 @ X2293|(X2298)!=(X2294 @ X2299)|in @ X2298 @ (esk101_2 @ X2293 @ X2294)))&(((((in @ (esk104_3 @ X2300 @ X2301 @ X2303) @ X2300|~in @ X2303 @ (esk103_2 @ X2300 @ X2301))&((X2303)=(X2301 @ (esk104_3 @ X2300 @ X2301 @ X2303))|~in @ X2303 @ (esk103_2 @ X2300 @ X2301)))&(~in @ X2306 @ X2300|(X2305)!=(X2301 @ X2306)|in @ X2305 @ (esk103_2 @ X2300 @ X2301)))&((~in @ (esk105_3 @ X2300 @ X2301 @ X2307) @ X2307|(~in @ X2309 @ X2300|(esk105_3 @ X2300 @ X2301 @ X2307)!=(X2301 @ X2309))|(esk103_2 @ X2300 @ X2301)=(X2307))&((in @ (esk106_3 @ X2300 @ X2301 @ X2307) @ X2300|in @ (esk105_3 @ X2300 @ X2301 @ X2307) @ X2307|(esk103_2 @ X2300 @ X2301)=(X2307))&((esk105_3 @ X2300 @ X2301 @ X2307)=(X2301 @ (esk106_3 @ X2300 @ X2301 @ X2307))|in @ (esk105_3 @ X2300 @ X2301 @ X2307) @ 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@ (funcSet @ X2336 @ X2337))&((~in @ X2341 @ (surjFuncSet @ X2339 @ X2340)|surjective @ X2339 @ X2340 @ X2341)&((((in @ (esk110_4 @ X2342 @ X2343 @ X2344 @ X2346) @ X2342|surjective @ X2343 @ X2342 @ X2346|~in @ X2346 @ (funcSet @ X2343 @ X2342)|in @ (esk109_3 @ X2342 @ X2343 @ X2344) @ X2342)&((ap @ X2343 @ X2342 @ X2346 @ (X2344 @ (esk110_4 @ X2342 @ X2343 @ X2344 @ X2346)))!=(esk110_4 @ X2342 @ X2343 @ X2344 @ X2346)|surjective @ X2343 @ X2342 @ X2346|~in @ X2346 @ (funcSet @ X2343 @ X2342)|in @ (esk109_3 @ X2342 @ X2343 @ X2344) @ X2342))&((in @ (esk110_4 @ X2342 @ X2343 @ X2344 @ X2346) @ X2342|surjective @ X2343 @ X2342 @ X2346|~in @ X2346 @ (funcSet @ X2343 @ X2342)|~in @ (X2344 @ (esk109_3 @ X2342 @ X2343 @ X2344)) @ X2343)&((ap @ X2343 @ X2342 @ X2346 @ (X2344 @ (esk110_4 @ X2342 @ X2343 @ X2344 @ X2346)))!=(esk110_4 @ X2342 @ X2343 @ X2344 @ X2346)|surjective @ X2343 @ X2342 @ X2346|~in @ X2346 @ (funcSet @ X2343 @ X2342)|~in @ (X2344 @ (esk109_3 @ X2342 @ X2343 @ X2344)) @ X2343)))&((~in @ X2349 @ (funcSet @ X2348 @ (powerset @ X2348))|~surjective @ X2348 @ (powerset @ X2348) @ X2349)&(((in @ (esk111_1 @ X2350) @ X2350|(X2350)=(emptyset))&((binintersect @ (esk111_1 @ X2350) @ X2350)=(emptyset)|(X2350)=(emptyset)))&(~in @ X2352 @ X2352&((~in @ X2353 @ X2354|~in @ X2354 @ X2353)&((~in @ X2355 @ omega|in @ (omegaS @ X2355) @ omega)&((~in @ X2356 @ omega|in @ (setadjoin @ X2356 @ X2356) @ omega)&((~in @ X2357 @ omega|(omegaS @ X2357)!=(emptyset))&((~in @ X2358 @ omega|(~in @ X2359 @ omega|((omegaS @ X2358)!=(omegaS @ X2359)|(X2358)=(X2359))))&(((in @ (esk112_1 @ X2360) @ X2360|(~in @ X2362 @ X2360|subset @ X2362 @ X2360))&(~subset @ (esk112_1 @ X2360) @ X2360|(~in @ X2362 @ X2360|subset @ X2362 @ X2360)))&((((in @ (esk114_2 @ X2363 @ X2365) @ X2365|(~in @ X2367 @ (binintersect @ X2363 @ X2365)|subset @ X2367 @ (binintersect @ X2363 @ X2365))|in @ (esk113_1 @ X2363) @ X2363)&(~subset @ (esk114_2 @ X2363 @ X2365) @ X2365|(~in @ X2367 @ (binintersect @ X2363 @ X2365)|subset @ X2367 @ (binintersect @ X2363 @ X2365))|in @ (esk113_1 @ X2363) @ X2363))&((in @ (esk114_2 @ X2363 @ X2365) @ X2365|(~in @ X2367 @ (binintersect @ X2363 @ X2365)|subset @ X2367 @ (binintersect @ X2363 @ X2365))|~subset @ (esk113_1 @ X2363) @ X2363)&(~subset @ (esk114_2 @ X2363 @ X2365) @ X2365|(~in @ X2367 @ (binintersect @ X2363 @ X2365)|subset @ X2367 @ (binintersect @ X2363 @ X2365))|~subset @ (esk113_1 @ X2363) @ X2363)))&(((in @ (esk115_1 @ X2368) @ X2368|(~in @ X2370 @ X2368|(~in @ X2371 @ X2370|in @ X2371 @ X2368)))&(~subset @ (esk115_1 @ X2368) @ X2368|(~in @ X2370 @ X2368|(~in @ X2371 @ X2370|in @ X2371 @ X2368))))&(((in @ (esk116_1 @ X2372) @ X2372|(~in @ X2375 @ (setunion @ X2372)|subset @ X2375 @ (setunion @ X2372)))&((in @ (esk117_1 @ X2372) @ (esk116_1 @ X2372)|(~in @ X2375 @ (setunion @ X2372)|subset @ X2375 @ (setunion @ X2372)))&(~subset @ (esk117_1 @ X2372) @ (esk116_1 @ X2372)|(~in @ X2375 @ (setunion @ X2372)|subset @ X2375 @ (setunion @ 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X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))))))))&((((in @ (esk124_2 @ X2376 @ X2382) @ (powerset @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ X2382|~epred12_1 @ X2382)|in @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&(((esk124_2 @ X2376 @ X2382)!=(emptyset)|(in @ (esk123_2 @ X2376 @ X2382) @ X2382|~epred12_1 @ X2382)|in @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&((in @ (esk125_3 @ X2376 @ X2382 @ X2386) @ (esk124_2 @ X2376 @ X2382)|~in @ X2386 @ (esk124_2 @ X2376 @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ X2382|~epred12_1 @ X2382)|in @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&(((X2386)!=(esk125_3 @ X2376 @ X2382 @ X2386)|~in @ X2386 @ (esk124_2 @ X2376 @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ X2382|~epred12_1 @ X2382)|in @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&(~in @ X2386 @ (esk125_3 @ X2376 @ X2382 @ X2386)|~in @ X2386 @ (esk124_2 @ X2376 @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ X2382|~epred12_1 @ X2382)|in @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))))))&((in @ (esk124_2 @ X2376 @ X2382) @ (powerset @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ (esk123_2 @ X2376 @ X2382)|~epred12_1 @ X2382)|in @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&(((esk124_2 @ X2376 @ X2382)!=(emptyset)|(in @ (esk123_2 @ X2376 @ X2382) @ (esk123_2 @ X2376 @ X2382)|~epred12_1 @ X2382)|in @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&((in @ (esk125_3 @ X2376 @ X2382 @ X2386) @ (esk124_2 @ X2376 @ X2382)|~in @ X2386 @ (esk124_2 @ X2376 @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ (esk123_2 @ X2376 @ X2382)|~epred12_1 @ X2382)|in @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&(((X2386)!=(esk125_3 @ X2376 @ X2382 @ X2386)|~in @ X2386 @ (esk124_2 @ X2376 @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ (esk123_2 @ X2376 @ X2382)|~epred12_1 @ X2382)|in @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&(~in @ X2386 @ (esk125_3 @ X2376 @ X2382 @ X2386)|~in @ X2386 @ (esk124_2 @ X2376 @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ (esk123_2 @ X2376 @ X2382)|~epred12_1 @ X2382)|in @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376)))))))&(((in @ (esk124_2 @ X2376 @ X2382) @ (powerset @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ X2382|~epred12_1 @ X2382)|~subset @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&(((esk124_2 @ X2376 @ X2382)!=(emptyset)|(in @ (esk123_2 @ X2376 @ X2382) @ X2382|~epred12_1 @ X2382)|~subset @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&((in @ (esk125_3 @ X2376 @ X2382 @ X2386) @ (esk124_2 @ X2376 @ X2382)|~in @ X2386 @ (esk124_2 @ X2376 @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ X2382|~epred12_1 @ X2382)|~subset @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&(((X2386)!=(esk125_3 @ X2376 @ X2382 @ X2386)|~in @ X2386 @ (esk124_2 @ X2376 @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ X2382|~epred12_1 @ X2382)|~subset @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&(~in @ X2386 @ (esk125_3 @ X2376 @ X2382 @ X2386)|~in @ X2386 @ (esk124_2 @ X2376 @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ X2382|~epred12_1 @ X2382)|~subset @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))))))&((in @ (esk124_2 @ X2376 @ X2382) @ (powerset @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ (esk123_2 @ X2376 @ X2382)|~epred12_1 @ X2382)|~subset @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&(((esk124_2 @ X2376 @ X2382)!=(emptyset)|(in @ (esk123_2 @ X2376 @ X2382) @ (esk123_2 @ X2376 @ X2382)|~epred12_1 @ X2382)|~subset @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&((in @ (esk125_3 @ X2376 @ X2382 @ X2386) @ (esk124_2 @ X2376 @ X2382)|~in @ X2386 @ (esk124_2 @ X2376 @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ (esk123_2 @ X2376 @ X2382)|~epred12_1 @ X2382)|~subset @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&(((X2386)!=(esk125_3 @ X2376 @ X2382 @ X2386)|~in @ X2386 @ (esk124_2 @ X2376 @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ (esk123_2 @ X2376 @ X2382)|~epred12_1 @ X2382)|~subset @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&(~in @ X2386 @ (esk125_3 @ X2376 @ X2382 @ X2386)|~in @ X2386 @ (esk124_2 @ X2376 @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ (esk123_2 @ X2376 @ X2382)|~epred12_1 @ X2382)|~subset @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(~in @ X2380 @ (esk121_2 @ X2376 @ X2380)|~in @ X2380 @ (esk120_1 @ X2376)|(in @ (esk119_1 @ X2376) @ X2376|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))))))))))))&(((((in @ (esk124_2 @ X2376 @ X2382) @ (powerset @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ X2382|~epred12_1 @ X2382)|in @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(in @ (esk120_1 @ X2376) @ (powerset @ X2376)|(in @ (esk119_1 @ X2376) @ (esk119_1 @ X2376)|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&(((esk124_2 @ X2376 @ X2382)!=(emptyset)|(in @ (esk123_2 @ X2376 @ X2382) @ X2382|~epred12_1 @ X2382)|in @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(in @ (esk120_1 @ X2376) @ (powerset @ X2376)|(in @ (esk119_1 @ X2376) @ (esk119_1 @ X2376)|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&((in @ (esk125_3 @ X2376 @ X2382 @ X2386) @ (esk124_2 @ X2376 @ X2382)|~in @ X2386 @ (esk124_2 @ X2376 @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ X2382|~epred12_1 @ X2382)|in @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(in @ (esk120_1 @ X2376) @ (powerset @ X2376)|(in @ (esk119_1 @ X2376) @ (esk119_1 @ X2376)|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&(((X2386)!=(esk125_3 @ X2376 @ X2382 @ X2386)|~in @ X2386 @ (esk124_2 @ X2376 @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ X2382|~epred12_1 @ X2382)|in @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(in @ (esk120_1 @ X2376) @ (powerset @ X2376)|(in @ (esk119_1 @ X2376) @ (esk119_1 @ X2376)|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&(~in @ X2386 @ (esk125_3 @ X2376 @ X2382 @ X2386)|~in @ X2386 @ (esk124_2 @ X2376 @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ X2382|~epred12_1 @ X2382)|in @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(in @ (esk120_1 @ X2376) @ (powerset @ X2376)|(in @ (esk119_1 @ X2376) @ (esk119_1 @ X2376)|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))))))&((in @ (esk124_2 @ X2376 @ X2382) @ (powerset @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ (esk123_2 @ X2376 @ X2382)|~epred12_1 @ X2382)|in @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(in @ (esk120_1 @ X2376) @ (powerset @ X2376)|(in @ (esk119_1 @ X2376) @ (esk119_1 @ X2376)|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&(((esk124_2 @ X2376 @ X2382)!=(emptyset)|(in @ (esk123_2 @ X2376 @ X2382) @ (esk123_2 @ X2376 @ X2382)|~epred12_1 @ X2382)|in @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(in @ (esk120_1 @ X2376) @ (powerset @ X2376)|(in @ (esk119_1 @ X2376) @ (esk119_1 @ X2376)|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&((in @ (esk125_3 @ X2376 @ X2382 @ X2386) @ (esk124_2 @ X2376 @ X2382)|~in @ X2386 @ (esk124_2 @ X2376 @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ (esk123_2 @ X2376 @ X2382)|~epred12_1 @ X2382)|in @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ X2388 @ (binintersect @ X2376 @ X2382))|(in @ (esk120_1 @ X2376) @ (powerset @ X2376)|(in @ (esk119_1 @ X2376) @ (esk119_1 @ X2376)|~epred11_1 @ X2376)|~subset @ (esk118_1 @ X2376) @ X2376))&(((X2386)!=(esk125_3 @ X2376 @ X2382 @ X2386)|~in @ X2386 @ (esk124_2 @ X2376 @ X2382)|(in @ (esk123_2 @ X2376 @ X2382) @ (esk123_2 @ X2376 @ X2382)|~epred12_1 @ X2382)|in @ (esk122_2 @ X2376 @ X2382) @ X2382|(~in @ X2388 @ (binintersect @ X2376 @ X2382)|subset @ 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X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389)))&(((esk128_1 @ X2389)!=(emptyset)|(in @ (esk127_1 @ X2389) @ X2389|~epred13_1 @ X2389)|in @ (esk126_1 @ X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389)))&((in @ (esk129_2 @ X2389 @ X2393) @ (esk128_1 @ X2389)|~in @ X2393 @ (esk128_1 @ X2389)|(in @ (esk127_1 @ X2389) @ X2389|~epred13_1 @ X2389)|in @ (esk126_1 @ X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389)))&(((X2393)!=(esk129_2 @ X2389 @ X2393)|~in @ X2393 @ (esk128_1 @ X2389)|(in @ (esk127_1 @ X2389) @ X2389|~epred13_1 @ X2389)|in @ (esk126_1 @ X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389)))&(~in @ X2393 @ (esk129_2 @ X2389 @ X2393)|~in @ X2393 @ (esk128_1 @ X2389)|(in @ (esk127_1 @ X2389) @ X2389|~epred13_1 @ X2389)|in @ (esk126_1 @ X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389)))))))&((in @ (esk128_1 @ X2389) @ (powerset @ X2389)|(in @ (esk127_1 @ X2389) @ (esk127_1 @ X2389)|~epred13_1 @ X2389)|in @ (esk126_1 @ X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389)))&(((esk128_1 @ X2389)!=(emptyset)|(in @ (esk127_1 @ X2389) @ (esk127_1 @ X2389)|~epred13_1 @ X2389)|in @ (esk126_1 @ X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389)))&((in @ (esk129_2 @ X2389 @ X2393) @ (esk128_1 @ X2389)|~in @ X2393 @ (esk128_1 @ X2389)|(in @ (esk127_1 @ X2389) @ (esk127_1 @ X2389)|~epred13_1 @ X2389)|in @ (esk126_1 @ X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389)))&(((X2393)!=(esk129_2 @ X2389 @ X2393)|~in @ X2393 @ (esk128_1 @ X2389)|(in @ (esk127_1 @ X2389) @ (esk127_1 @ X2389)|~epred13_1 @ X2389)|in @ (esk126_1 @ X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389)))&(~in @ X2393 @ (esk129_2 @ X2389 @ X2393)|~in @ X2393 @ (esk128_1 @ X2389)|(in @ (esk127_1 @ X2389) @ (esk127_1 @ X2389)|~epred13_1 @ X2389)|in @ (esk126_1 @ X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389))))))))&(((in @ (esk128_1 @ X2389) @ (powerset @ X2389)|(in @ (esk127_1 @ X2389) @ X2389|~epred13_1 @ X2389)|~subset @ (esk126_1 @ X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389)))&(((esk128_1 @ X2389)!=(emptyset)|(in @ (esk127_1 @ X2389) @ X2389|~epred13_1 @ X2389)|~subset @ (esk126_1 @ X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389)))&((in @ (esk129_2 @ X2389 @ X2393) @ (esk128_1 @ X2389)|~in @ X2393 @ (esk128_1 @ X2389)|(in @ (esk127_1 @ X2389) @ X2389|~epred13_1 @ X2389)|~subset @ (esk126_1 @ X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389)))&(((X2393)!=(esk129_2 @ X2389 @ X2393)|~in @ X2393 @ (esk128_1 @ X2389)|(in @ (esk127_1 @ X2389) @ X2389|~epred13_1 @ X2389)|~subset @ (esk126_1 @ X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389)))&(~in @ X2393 @ (esk129_2 @ X2389 @ X2393)|~in @ X2393 @ (esk128_1 @ X2389)|(in @ (esk127_1 @ X2389) @ X2389|~epred13_1 @ X2389)|~subset @ (esk126_1 @ X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389)))))))&((in @ (esk128_1 @ X2389) @ (powerset @ X2389)|(in @ (esk127_1 @ X2389) @ (esk127_1 @ X2389)|~epred13_1 @ X2389)|~subset @ (esk126_1 @ X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389)))&(((esk128_1 @ X2389)!=(emptyset)|(in @ (esk127_1 @ X2389) @ (esk127_1 @ X2389)|~epred13_1 @ X2389)|~subset @ (esk126_1 @ X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389)))&((in @ (esk129_2 @ X2389 @ X2393) @ (esk128_1 @ X2389)|~in @ X2393 @ (esk128_1 @ X2389)|(in @ (esk127_1 @ X2389) @ (esk127_1 @ X2389)|~epred13_1 @ X2389)|~subset @ (esk126_1 @ X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389)))&(((X2393)!=(esk129_2 @ X2389 @ X2393)|~in @ X2393 @ (esk128_1 @ X2389)|(in @ (esk127_1 @ X2389) @ (esk127_1 @ X2389)|~epred13_1 @ X2389)|~subset @ (esk126_1 @ X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389)))&(~in @ X2393 @ (esk129_2 @ X2389 @ X2393)|~in @ X2393 @ (esk128_1 @ X2389)|(in @ (esk127_1 @ X2389) @ (esk127_1 @ X2389)|~epred13_1 @ X2389)|~subset @ (esk126_1 @ X2389) @ X2389|(~in @ X2396 @ X2389|(~in @ X2395 @ X2396|in @ X2395 @ X2389)))))))))&(epred14_1 @ esk130_0&(in @ esk131_0 @ esk130_0&~subset @ esk131_0 @ esk130_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_383])])])])])])).
1.19/1.35	thf(c_0_386, plain, ![X2:$i, X3:$i]:(subset @ X2 @ X3|~in @ X2 @ X3|~epred14_1 @ X3), inference(split_conjunct,[status(thm)],[c_0_384])).
1.19/1.35	thf(c_0_387, negated_conjecture, in @ esk131_0 @ esk130_0, inference(split_conjunct,[status(thm)],[c_0_385])).
1.19/1.35	thf(c_0_388, negated_conjecture, epred14_1 @ esk130_0, inference(split_conjunct,[status(thm)],[c_0_385])).
1.19/1.35	thf(c_0_389, negated_conjecture, ~subset @ esk131_0 @ esk130_0, inference(split_conjunct,[status(thm)],[c_0_385])).
1.19/1.35	thf(c_0_390, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_386, c_0_387]), c_0_388])]), c_0_389]), ['proof']).
1.19/1.35	# SZS output end CNFRefutation
1.19/1.35	# Proof object total steps             : 391
1.19/1.35	# Proof object clause steps            : 5
1.19/1.35	# Proof object formula steps           : 386
1.19/1.35	# Proof object conjectures             : 7
1.19/1.35	# Proof object clause conjectures      : 4
1.19/1.35	# Proof object formula conjectures     : 3
1.19/1.35	# Proof object initial clauses used    : 4
1.19/1.35	# Proof object initial formulas used   : 341
1.19/1.35	# Proof object generating inferences   : 1
1.19/1.35	# Proof object simplifying inferences  : 3
1.19/1.35	# Training examples: 0 positive, 0 negative
1.19/1.35	# Parsed axioms                        : 738
1.19/1.35	# Removed by relevancy pruning/SinE    : 0
1.19/1.35	# Initial clauses                      : 1520
1.19/1.35	# Removed in clause preprocessing      : 439
1.19/1.35	# Initial clauses in saturation        : 1081
1.19/1.35	# Processed clauses                    : 1582
1.19/1.35	# ...of these trivial                  : 9
1.19/1.35	# ...subsumed                          : 164
1.19/1.35	# ...remaining for further processing  : 1409
1.19/1.35	# Other redundant clauses eliminated   : 44
1.19/1.35	# Clauses deleted for lack of memory   : 0
1.19/1.35	# Backward-subsumed                    : 325
1.19/1.35	# Backward-rewritten                   : 2
1.19/1.35	# Generated clauses                    : 2229
1.19/1.35	# ...of the previous two non-trivial   : 960
1.19/1.35	# Contextual simplify-reflections      : 15
1.19/1.35	# Paramodulations                      : 1098
1.19/1.35	# Factorizations                       : 0
1.19/1.35	# NegExts                              : 0
1.19/1.35	# Equation resolutions                 : 47
1.19/1.35	# Propositional unsat checks           : 0
1.19/1.35	#    Propositional check models        : 0
1.19/1.35	#    Propositional check unsatisfiable : 0
1.19/1.35	#    Propositional clauses             : 0
1.19/1.35	#    Propositional clauses after purity: 0
1.19/1.35	#    Propositional unsat core size     : 0
1.19/1.35	#    Propositional preprocessing time  : 0.000
1.19/1.35	#    Propositional encoding time       : 0.000
1.19/1.35	#    Propositional solver time         : 0.000
1.19/1.35	#    Success case prop preproc time    : 0.000
1.19/1.35	#    Success case prop encoding time   : 0.000
1.19/1.35	#    Success case prop solver time     : 0.000
1.19/1.35	# Current number of processed clauses  : 357
1.19/1.35	#    Positive orientable unit clauses  : 138
1.19/1.35	#    Positive unorientable unit clauses: 0
1.19/1.35	#    Negative unit clauses             : 89
1.19/1.35	#    Non-unit-clauses                  : 130
1.19/1.35	# Current number of unprocessed clauses: 1162
1.19/1.35	# ...number of literals in the above   : 3594
1.19/1.35	# Current number of archived formulas  : 0
1.19/1.35	# Current number of archived clauses   : 1030
1.19/1.35	# Clause-clause subsumption calls (NU) : 1343597
1.19/1.35	# Rec. Clause-clause subsumption calls : 60159
1.19/1.35	# Non-unit clause-clause subsumptions  : 417
1.19/1.35	# Unit Clause-clause subsumption calls : 1015
1.19/1.35	# Rewrite failures with RHS unbound    : 0
1.19/1.35	# BW rewrite match attempts            : 174
1.19/1.35	# BW rewrite match successes           : 2
1.19/1.35	# Condensation attempts                : 0
1.19/1.35	# Condensation successes               : 0
1.19/1.35	# Termbank termtop insertions          : 648294
1.19/1.35	
1.19/1.35	# -------------------------------------------------
1.19/1.35	# User time                : 0.932 s
1.19/1.35	# System time              : 0.014 s
1.19/1.35	# Total time               : 0.946 s
1.19/1.35	# Maximum resident set size: 2508 pages
1.19/1.35	EOF