0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % 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 0.13/0.34 % Computer : n027.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1200 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Jul 13 12:49:10 EDT 2021 0.13/0.34 % CPUTime : 0.13/0.34 % Number of cores: 8 0.13/0.34 % Python version: Python 3.6.8 0.13/0.34 # Version: 2.6rc1-ho 0.13/0.35 # No SInE strategy applied 0.13/0.35 # Trying AutoSched0 for 59 seconds 59.16/59.35 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d 59.16/59.35 # and selection function SelectCQIPrecWNTNp. 59.16/59.35 # 59.16/59.35 # Preprocessing time : 0.032 s 59.16/59.35 # Presaturation interreduction done 59.28/59.51 # No success with AutoSched0 59.28/59.51 # Trying AutoSched1 for 26 seconds 85.31/85.51 # AutoSched1-Mode selected heuristic G_E___211_C18_F1_AE_CS_SP_S0Y 85.31/85.51 # and selection function SelectMaxLComplexAvoidPosPred. 85.31/85.51 # 85.31/85.51 # Preprocessing time : 0.054 s 85.43/85.67 # No success with AutoSched1 85.43/85.67 # Trying AutoSched2 for 8 seconds 93.47/93.67 # AutoSched2-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S05AN 93.47/93.67 # and selection function PSelectComplexExceptUniqMaxPosHorn. 93.47/93.67 # 93.47/93.67 # Preprocessing time : 0.027 s 93.47/93.67 # Presaturation interreduction done 93.51/93.72 # No success with AutoSched2 93.51/93.72 # Trying AutoSched3 for 7 seconds 100.50/100.72 # AutoSched3-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN 100.50/100.72 # and selection function PSelectComplexExceptUniqMaxHorn. 100.50/100.72 # 100.50/100.72 # Preprocessing time : 0.052 s 100.50/100.73 # No success with AutoSched3 100.50/100.73 # Trying AutoSched4 for 5 seconds 100.89/101.09 # AutoSched4-Mode selected heuristic G_E___107_B01_00_F1_PI_AE_Q4_CS_SP_PS_S071I 100.89/101.09 # and selection function SelectCQArEqLast. 100.89/101.09 # 100.89/101.09 # Preprocessing time : 0.025 s 100.89/101.09 # Presaturation interreduction done 100.89/101.09 100.89/101.09 # Proof found! 100.89/101.09 # SZS status Theorem 100.89/101.09 # SZS output start CNFRefutation 100.89/101.09 thf(replAx, axiom, (replAx<=>![X6:$i > $i > $o, X4:$i]:(![X2:$i]:(in @ X2 @ X4=>exu @ (^[X3:$i]:X6 @ X2 @ X3))=>?[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', replAx)). 100.89/101.09 thf(exu, axiom, (exu)=(^[X1:$i > $o]:?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exu)). 100.89/101.09 thf(descrp, axiom, (descrp<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>X1 @ (descr @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', descrp)). 100.89/101.09 thf(exuE1, axiom, (exuE1<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE1)). 100.89/101.09 thf(exuE3e, axiom, (exuE3e<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:X1 @ X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE3e)). 100.89/101.09 thf(nonemptyE1, axiom, (nonemptyE1<=>![X4:$i]:(nonempty @ X4=>?[X2:$i]:in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyE1)). 100.89/101.09 thf(nonempty, axiom, (nonempty)=(^[X2:$i]:(X2)!=(emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonempty)). 100.89/101.09 thf(nonemptyI, axiom, (nonemptyI<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyI)). 100.89/101.09 thf(nonemptyI1, axiom, (nonemptyI1<=>![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>nonempty @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyI1)). 100.89/101.09 thf(exuE2, axiom, (exuE2<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE2)). 100.89/101.09 thf(nonemptyImpWitness, axiom, (nonemptyImpWitness<=>![X4:$i]:(nonempty @ X4=>?[X2:$i]:(in @ X2 @ X4&$true))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyImpWitness)). 100.89/101.09 thf(exuI1, axiom, (exuI1<=>![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>exu @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuI1)). 100.89/101.09 thf(exuI3, axiom, (exuI3<=>![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>exu @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuI3)). 100.89/101.09 thf(exuI2, axiom, (exuI2<=>![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>exu @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuI2)). 100.89/101.09 thf(exuE3u, axiom, (exuE3u<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE3u)). 100.89/101.09 thf(exu__Cong, axiom, (exu__Cong<=>![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(exu @ (^[X2:$i]:X1 @ X2)<=>exu @ (^[X2:$i]:X17 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exu__Cong)). 100.89/101.09 thf(exuEu, axiom, (exuEu<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuEu)). 100.89/101.09 thf(descr__Cong, axiom, (descr__Cong<=>![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(exu @ (^[X2:$i]:X1 @ X2)=>(exu @ (^[X2:$i]:X17 @ X2)=>(descr @ (^[X2:$i]:X1 @ X2))=(descr @ (^[X2:$i]:X17 @ X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', descr__Cong)). 100.89/101.09 thf(kpairiskpair, axiom, (kpairiskpair<=>![X2:$i, X3:$i]:iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', kpairiskpair)). 100.89/101.09 thf(iskpair, axiom, (iskpair)=(^[X4:$i]:?[X2:$i]:(in @ X2 @ (setunion @ X4)&?[X3:$i]:(in @ X3 @ (setunion @ X4)&(X4)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', iskpair)). 100.89/101.09 thf(kpairp, axiom, (kpairp<=>![X2:$i, X3:$i]:iskpair @ (kpair @ X2 @ X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', kpairp)). 100.89/101.09 thf(singletonsubset, conjecture, (setextAx=>((setadjoinAx=>((setunionAx=>((((((wellorderingAx=>(descrp=>((dsetconstrEL=>(((prop2setE=>((emptysetimpfalse=>(((setext=>((((nonemptyE1=>((((emptyinunitempty=>(setadjoinIR=>((((powersetI=>(emptyinPowerset=>(emptyInPowerset=>(powersetE=>((setunionE=>((exuE2=>((uniqinunit=>((eqinunit=>(((upairsetIL=>(upairsetIR=>(emptyE1=>(vacuousDall=>((quantDeMorgan2=>(quantDeMorgan3=>(((prop2set2propI=>((notdallE=>(((exuI2=>((in__Cong=>(exuE3u=>((emptyset__Cong=>(setadjoin__Cong=>((((exuEu=>(((subsetI1=>(((subsetI2=>(emptysetsubset=>(subsetE=>(subsetE2=>(notsubsetI=>(notequalI1=>(((subsetTrans=>(setadjoinSub=>((subset2powerset=>(setextsub=>(subsetemptysetimpeq=>(powersetI1=>(powersetE1=>(inPowerset=>(powersetsubset=>(sepInPowerset=>((binunionIL=>(((binunionEcases=>(binunionE=>(binunionLsub=>((binintersectI=>(binintersectSubset5=>((binintersectLsub=>(binintersectSubset2=>(binintersectSubset3=>(binintersectER=>(disjointsetsI1=>(binintersectRsub=>(binintersectSubset4=>((bs114d=>((setminusEL=>((setminusSubset2=>(setminusERneg=>(setminusELneg=>(setminusILneg=>(setminusIRneg=>(setminusLsub=>(setminusSubset1=>((symdiffI1=>(symdiffI2=>(symdiffIneg1=>(((setukpairIL=>(setukpairIR=>(kpairiskpair=>(![X4:$i, X2:$i]:(subset @ (setadjoin @ X2 @ emptyset) @ X4<=in @ X2 @ X4)<=kpairp))))<=secondinupair)<=symdiffIneg2))))<=symdiffE))))))))<=setminusER))<=setminusI))<=binintersectSubset1))))))))<=binintersectEL)))<=binunionRsub))))<=binunionIR)<=upairset2IR))<=sepSubset)))))))))<=setadjoinSub2)))<=subsetRefl)<=notequalI2)))))))<=eqimpsubset1)<=eqimpsubset2))<=dsetconstr__Cong)<=descr__Cong))<=omega__Cong)<=setunion__Cong)<=powerset__Cong)))<=exu__Cong)))<=inCongP))<=exuI3)<=exuI1))<=notdexE))<=prop2setI)<=quantDeMorgan4)))<=quantDeMorgan1)))))<=upairsetE)<=singletonsswitch))<=notinsingleton))<=nonemptyImpWitness))<=subPowSU))<=setunionI)))))<=setoftrueEq)<=setadjoinOr)<=setadjoinE)))<=setadjoinIL)<=nonemptyI1)<=nonemptyI))<=setbeta)<=noeltsimpempty)<=emptyI))<=exuE3e)<=notinemptyset))<=emptysetE))<=exuE1)<=dsetconstrER))<=dsetconstrI)))<=foundationAx)<=replAx)<=omegaIndAx)<=omegaSAx)<=omega0Ax))<=powersetAx))<=emptysetAx)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletonsubset)). 100.89/101.09 thf(setextAx, axiom, (setextAx<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4<=>in @ X2 @ X5)=>(X4)=(X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setextAx)). 100.89/101.09 thf(emptysetAx, axiom, (emptysetAx<=>![X2:$i]:~(in @ X2 @ emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetAx)). 100.89/101.09 thf(setadjoinAx, axiom, (setadjoinAx<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)<=>((X3)=(X2)|in @ X3 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinAx)). 100.89/101.09 thf(powersetAx, axiom, (powersetAx<=>![X4:$i, X5:$i]:(in @ X5 @ (powerset @ X4)<=>![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetAx)). 100.89/101.09 thf(setunionAx, axiom, (setunionAx<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)<=>?[X5:$i]:(in @ X2 @ X5&in @ X5 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionAx)). 100.89/101.09 thf(omega0Ax, axiom, (omega0Ax<=>in @ emptyset @ omega), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omega0Ax)). 100.89/101.09 thf(omegaSAx, axiom, (omegaSAx<=>![X2:$i]:(in @ X2 @ omega=>in @ (setadjoin @ X2 @ X2) @ omega)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omegaSAx)). 100.89/101.09 thf(omegaIndAx, axiom, (omegaIndAx<=>![X4:$i]:((in @ emptyset @ X4&![X2:$i]:((in @ X2 @ omega&in @ X2 @ X4)=>in @ (setadjoin @ X2 @ X2) @ X4))=>![X2:$i]:(in @ X2 @ omega=>in @ X2 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omegaIndAx)). 100.89/101.09 thf(foundationAx, axiom, (foundationAx<=>![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>?[X5:$i]:(in @ X5 @ X4&~(?[X2:$i]:(in @ X2 @ X5&in @ X2 @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', foundationAx)). 100.89/101.09 thf(wellorderingAx, axiom, (wellorderingAx<=>![X4:$i]:?[X5:$i]:(((![X7:$i]:(in @ X7 @ X5=>![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X4))&![X2:$i, X3:$i]:((in @ X2 @ X4&in @ X3 @ X4)=>(![X7:$i]:(in @ X7 @ X5=>(in @ X2 @ X7<=>in @ X3 @ X7))=>(X2)=(X3))))&![X7:$i, X8:$i]:((in @ X7 @ X5&in @ X8 @ X5)=>(![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X8)|![X2:$i]:(in @ X2 @ X8=>in @ X2 @ X7))))&![X7:$i]:((![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X4)&?[X2:$i]:in @ X2 @ X7)=>?[X8:$i, X2:$i]:(((in @ X8 @ X5&in @ X2 @ X7)&~(?[X3:$i]:(in @ X3 @ X8&in @ X3 @ X7)))&![X9:$i]:(in @ X9 @ X5=>(![X3:$i]:(in @ X3 @ X9=>in @ X3 @ X8)|in @ X2 @ X9)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', wellorderingAx)). 100.89/101.09 thf(dsetconstrI, axiom, (dsetconstrI<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrI)). 100.89/101.09 thf(dsetconstrEL, axiom, (dsetconstrEL<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))=>in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrEL)). 100.89/101.09 thf(dsetconstrER, axiom, (dsetconstrER<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))=>X1 @ X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrER)). 100.89/101.09 thf(prop2setE, axiom, (prop2setE<=>![X10:$o, X2:$i]:(in @ X2 @ (prop2set @ (X10))=>X10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prop2setE)). 100.89/101.09 thf(emptysetE, axiom, (emptysetE<=>![X2:$i]:(in @ X2 @ emptyset=>![X11:$o]:X11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetE)). 100.89/101.09 thf(emptysetimpfalse, axiom, (emptysetimpfalse<=>![X2:$i]:(in @ X2 @ emptyset=>~$true)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetimpfalse)). 100.89/101.09 thf(notinemptyset, axiom, (notinemptyset<=>![X2:$i]:~(in @ X2 @ emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notinemptyset)). 100.89/101.09 thf(setext, axiom, (setext<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>(X4)=(X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setext)). 100.89/101.09 thf(emptyI, axiom, (emptyI<=>![X4:$i]:(![X2:$i]:~(in @ X2 @ X4)=>(X4)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyI)). 100.89/101.09 thf(noeltsimpempty, axiom, (noeltsimpempty<=>![X4:$i]:(![X2:$i]:~(in @ X2 @ X4)=>(X4)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', noeltsimpempty)). 100.89/101.09 thf(setbeta, axiom, (setbeta<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))<=>X1 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setbeta)). 100.89/101.09 thf(setadjoinIL, axiom, (setadjoinIL<=>![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinIL)). 100.89/101.09 thf(emptyinunitempty, axiom, (emptyinunitempty<=>in @ emptyset @ (setadjoin @ emptyset @ emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyinunitempty)). 100.89/101.09 thf(setadjoinIR, axiom, (setadjoinIR<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ X4=>in @ X3 @ (setadjoin @ X2 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinIR)). 100.89/101.09 thf(setadjoinE, axiom, (setadjoinE<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>![X12:$o]:(((X3)=(X2)=>X12)=>((in @ X3 @ X4=>X12)=>X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinE)). 100.89/101.09 thf(setadjoinOr, axiom, (setadjoinOr<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>((X3)=(X2)|in @ X3 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinOr)). 100.89/101.09 thf(setoftrueEq, axiom, (setoftrueEq<=>![X4:$i]:(dsetconstr @ X4 @ (^[X2:$i]:$true))=(X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setoftrueEq)). 100.89/101.09 thf(powersetI, axiom, (powersetI<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>in @ X5 @ (powerset @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetI)). 100.89/101.09 thf(emptyinPowerset, axiom, (emptyinPowerset<=>![X4:$i]:in @ emptyset @ (powerset @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyinPowerset)). 100.89/101.09 thf(emptyInPowerset, axiom, (emptyInPowerset<=>![X4:$i]:in @ emptyset @ (powerset @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyInPowerset)). 100.89/101.09 thf(powersetE, axiom, (powersetE<=>![X4:$i, X5:$i, X2:$i]:(in @ X5 @ (powerset @ X4)=>(in @ X2 @ X5=>in @ X2 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetE)). 100.89/101.09 thf(setunionI, axiom, (setunionI<=>![X4:$i, X2:$i, X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>in @ X2 @ (setunion @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionI)). 100.89/101.09 thf(setunionE, axiom, (setunionE<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)=>![X13:$o]:(![X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>X13))=>X13))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionE)). 100.89/101.09 thf(subPowSU, axiom, (subPowSU<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (powerset @ (setunion @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subPowSU)). 100.89/101.09 thf(uniqinunit, axiom, (uniqinunit<=>![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', uniqinunit)). 100.89/101.09 thf(notinsingleton, axiom, (notinsingleton<=>![X2:$i, X3:$i]:((X2)!=(X3)=>~(in @ X3 @ (setadjoin @ X2 @ emptyset)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notinsingleton)). 100.89/101.09 thf(eqinunit, axiom, (eqinunit<=>![X2:$i, X3:$i]:((X2)=(X3)=>in @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eqinunit)). 100.89/101.09 thf(singletonsswitch, axiom, (singletonsswitch<=>![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>in @ X3 @ (setadjoin @ X2 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletonsswitch)). 100.89/101.09 thf(upairsetE, axiom, (upairsetE<=>![X2:$i, X3:$i, X14:$i]:(in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>((X14)=(X2)|(X14)=(X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsetE)). 100.89/101.09 thf(upairsetIL, axiom, (upairsetIL<=>![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsetIL)). 100.89/101.09 thf(upairsetIR, axiom, (upairsetIR<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsetIR)). 100.89/101.09 thf(emptyE1, axiom, (emptyE1<=>![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>((dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))=(emptyset)=>~$true))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyE1)). 100.89/101.09 thf(vacuousDall, axiom, (vacuousDall<=>![X1:$i > $o, X2:$i]:(in @ X2 @ emptyset=>X1 @ X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', vacuousDall)). 100.89/101.09 thf(quantDeMorgan1, axiom, (quantDeMorgan1<=>![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan1)). 100.89/101.09 thf(quantDeMorgan2, axiom, (quantDeMorgan2<=>![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2))=>~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan2)). 100.89/101.09 thf(quantDeMorgan3, axiom, (quantDeMorgan3<=>![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan3)). 100.89/101.09 thf(quantDeMorgan4, axiom, (quantDeMorgan4<=>![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2))=>~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan4)). 100.89/101.09 thf(prop2setI, axiom, (prop2setI<=>![X15:$o]:(X15=>in @ emptyset @ (prop2set @ (X15)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prop2setI)). 100.89/101.09 thf(prop2set2propI, axiom, (prop2set2propI<=>![X16:$o]:(X16=>set2prop @ (prop2set @ (X16)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prop2set2propI)). 100.89/101.09 thf(notdexE, axiom, (notdexE<=>![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notdexE)). 100.89/101.09 thf(notdallE, axiom, (notdallE<=>![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notdallE)). 100.89/101.09 thf(inCongP, axiom, (inCongP<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4=>in @ X3 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', inCongP)). 100.89/101.09 thf(in__Cong, axiom, (in__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4<=>in @ X3 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', in__Cong)). 100.89/101.09 thf(emptyset__Cong, axiom, (emptyset__Cong<=>(emptyset)=(emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyset__Cong)). 100.89/101.09 thf(setadjoin__Cong, axiom, (setadjoin__Cong<=>![X2:$i, X3:$i]:((X2)=(X3)=>![X14:$i, X18:$i]:((X14)=(X18)=>(setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoin__Cong)). 100.89/101.09 thf(powerset__Cong, axiom, (powerset__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>(powerset @ X4)=(powerset @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powerset__Cong)). 100.89/101.09 thf(setunion__Cong, axiom, (setunion__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>(setunion @ X4)=(setunion @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunion__Cong)). 100.89/101.09 thf(omega__Cong, axiom, (omega__Cong<=>(omega)=(omega)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omega__Cong)). 100.89/101.09 thf(dsetconstr__Cong, axiom, (dsetconstr__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X1:$i > $o, X17:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))))=>(dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))=(dsetconstr @ X5 @ (^[X2:$i]:X17 @ X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstr__Cong)). 100.89/101.09 thf(subsetI1, axiom, (subsetI1<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetI1)). 100.89/101.09 thf(eqimpsubset2, axiom, (eqimpsubset2<=>![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X5 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eqimpsubset2)). 100.89/101.09 thf(eqimpsubset1, axiom, (eqimpsubset1<=>![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eqimpsubset1)). 100.89/101.09 thf(subsetI2, axiom, (subsetI2<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetI2)). 100.89/101.09 thf(emptysetsubset, axiom, (emptysetsubset<=>![X4:$i]:subset @ emptyset @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetsubset)). 100.89/101.09 thf(subsetE, axiom, (subsetE<=>![X4:$i, X5:$i, X2:$i]:(subset @ X4 @ X5=>(in @ X2 @ X4=>in @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetE)). 100.89/101.09 thf(subsetE2, axiom, (subsetE2<=>![X4:$i, X5:$i, X2:$i]:(subset @ X4 @ X5=>(~(in @ X2 @ X5)=>~(in @ X2 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetE2)). 100.89/101.09 thf(notsubsetI, axiom, (notsubsetI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>~(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notsubsetI)). 100.89/101.09 thf(notequalI1, axiom, (notequalI1<=>![X4:$i, X5:$i]:(~(subset @ X4 @ X5)=>(X4)!=(X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notequalI1)). 100.89/101.09 thf(notequalI2, axiom, (notequalI2<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>(X4)!=(X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notequalI2)). 100.89/101.09 thf(subsetRefl, axiom, (subsetRefl<=>![X4:$i]:subset @ X4 @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetRefl)). 100.89/101.09 thf(subsetTrans, axiom, (subsetTrans<=>![X4:$i, X5:$i, X7:$i]:(subset @ X4 @ X5=>(subset @ X5 @ X7=>subset @ X4 @ X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetTrans)). 100.89/101.09 thf(setadjoinSub, axiom, (setadjoinSub<=>![X2:$i, X4:$i]:subset @ X4 @ (setadjoin @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinSub)). 100.89/101.09 thf(setadjoinSub2, axiom, (setadjoinSub2<=>![X4:$i, X2:$i, X5:$i]:(subset @ X4 @ X5=>subset @ X4 @ (setadjoin @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinSub2)). 100.89/101.09 thf(subset2powerset, axiom, (subset2powerset<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>in @ X4 @ (powerset @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset2powerset)). 100.89/101.09 thf(setextsub, axiom, (setextsub<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(subset @ X5 @ X4=>(X4)=(X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setextsub)). 100.89/101.09 thf(subsetemptysetimpeq, axiom, (subsetemptysetimpeq<=>![X4:$i]:(subset @ X4 @ emptyset=>(X4)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetemptysetimpeq)). 100.89/101.09 thf(powersetI1, axiom, (powersetI1<=>![X4:$i, X5:$i]:(subset @ X5 @ X4=>in @ X5 @ (powerset @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetI1)). 100.89/101.09 thf(powersetE1, axiom, (powersetE1<=>![X4:$i, X5:$i]:(in @ X5 @ (powerset @ X4)=>subset @ X5 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetE1)). 100.89/101.09 thf(inPowerset, axiom, (inPowerset<=>![X4:$i]:in @ X4 @ (powerset @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', inPowerset)). 100.89/101.09 thf(powersetsubset, axiom, (powersetsubset<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>subset @ (powerset @ X4) @ (powerset @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetsubset)). 100.89/101.09 thf(sepInPowerset, axiom, (sepInPowerset<=>![X4:$i, X1:$i > $o]:in @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2)) @ (powerset @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sepInPowerset)). 100.89/101.09 thf(sepSubset, axiom, (sepSubset<=>![X4:$i, X1:$i > $o]:subset @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2)) @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sepSubset)). 100.89/101.09 thf(binunionIL, axiom, (binunionIL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (binunion @ X4 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionIL)). 100.89/101.09 thf(upairset2IR, axiom, (upairset2IR<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairset2IR)). 100.89/101.09 thf(binunionIR, axiom, (binunionIR<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X5=>in @ X2 @ (binunion @ X4 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionIR)). 100.89/101.09 thf(binunionEcases, axiom, (binunionEcases<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(in @ X2 @ (binunion @ X4 @ X5)=>((in @ X2 @ X4=>X19)=>((in @ X2 @ X5=>X19)=>X19)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionEcases)). 100.89/101.09 thf(binunionE, axiom, (binunionE<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binunion @ X4 @ X5)=>(in @ X2 @ X4|in @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionE)). 100.89/101.09 thf(binunionLsub, axiom, (binunionLsub<=>![X4:$i, X5:$i]:subset @ X4 @ (binunion @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionLsub)). 100.89/101.09 thf(binunionRsub, axiom, (binunionRsub<=>![X4:$i, X5:$i]:subset @ X5 @ (binunion @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionRsub)). 100.89/101.09 thf(binintersectI, axiom, (binintersectI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X5=>in @ X2 @ (binintersect @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectI)). 100.89/101.09 thf(binintersectSubset5, axiom, (binintersectSubset5<=>![X4:$i, X5:$i, X7:$i]:(subset @ X7 @ X4=>(subset @ X7 @ X5=>subset @ X7 @ (binintersect @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset5)). 100.89/101.09 thf(binintersectEL, axiom, (binintersectEL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binintersect @ X4 @ X5)=>in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectEL)). 100.89/101.09 thf(binintersectLsub, axiom, (binintersectLsub<=>![X4:$i, X5:$i]:subset @ (binintersect @ X4 @ X5) @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectLsub)). 100.89/101.09 thf(binintersectSubset2, axiom, (binintersectSubset2<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(binintersect @ X4 @ X5)=(X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset2)). 100.89/101.09 thf(binintersectSubset3, axiom, (binintersectSubset3<=>![X4:$i, X5:$i]:((binintersect @ X4 @ X5)=(X5)=>subset @ X5 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset3)). 100.89/101.09 thf(binintersectER, axiom, (binintersectER<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binintersect @ X4 @ X5)=>in @ X2 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectER)). 100.89/101.09 thf(disjointsetsI1, axiom, (disjointsetsI1<=>![X4:$i, X5:$i]:(~(?[X2:$i]:(in @ X2 @ X4&in @ X2 @ X5))=>(binintersect @ X4 @ X5)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', disjointsetsI1)). 100.89/101.09 thf(binintersectRsub, axiom, (binintersectRsub<=>![X4:$i, X5:$i]:subset @ (binintersect @ X4 @ X5) @ X5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectRsub)). 100.89/101.09 thf(binintersectSubset4, axiom, (binintersectSubset4<=>![X4:$i, X5:$i]:(subset @ X5 @ X4=>(binintersect @ X4 @ X5)=(X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset4)). 100.89/101.09 thf(binintersectSubset1, axiom, (binintersectSubset1<=>![X4:$i, X5:$i]:((binintersect @ X4 @ X5)=(X4)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset1)). 100.89/101.09 thf(bs114d, axiom, (bs114d<=>![X4:$i, X5:$i, X7:$i]:(binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', bs114d)). 100.89/101.09 thf(setminusI, axiom, (setminusI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusI)). 100.89/101.09 thf(setminusEL, axiom, (setminusEL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (setminus @ X4 @ X5)=>in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusEL)). 100.89/101.09 thf(setminusER, axiom, (setminusER<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (setminus @ X4 @ X5)=>~(in @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusER)). 100.89/101.09 thf(setminusSubset2, axiom, (setminusSubset2<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(setminus @ X4 @ X5)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusSubset2)). 100.89/101.09 thf(setminusERneg, axiom, (setminusERneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4=>in @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusERneg)). 100.89/101.09 thf(setminusELneg, axiom, (setminusELneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ (setminus @ X4 @ X5))=>(~(in @ X2 @ X5)=>~(in @ X2 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusELneg)). 100.89/101.09 thf(setminusILneg, axiom, (setminusILneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>~(in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusILneg)). 100.89/101.09 thf(setminusIRneg, axiom, (setminusIRneg<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X5=>~(in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusIRneg)). 100.89/101.09 thf(setminusLsub, axiom, (setminusLsub<=>![X4:$i, X5:$i]:subset @ (setminus @ X4 @ X5) @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusLsub)). 100.89/101.09 thf(setminusSubset1, axiom, (setminusSubset1<=>![X4:$i, X5:$i]:((setminus @ X4 @ X5)=(emptyset)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusSubset1)). 100.89/101.09 thf(symdiffE, axiom, (symdiffE<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (symdiff @ X4 @ X5)=>![X20:$o]:((in @ X2 @ X4=>(~(in @ X2 @ X5)=>X20))=>((~(in @ X2 @ X4)=>(in @ X2 @ X5=>X20))=>X20)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffE)). 100.89/101.09 thf(symdiffI1, axiom, (symdiffI1<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>in @ X2 @ (symdiff @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffI1)). 100.89/101.09 thf(symdiffI2, axiom, (symdiffI2<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>(in @ X2 @ X5=>in @ X2 @ (symdiff @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffI2)). 100.89/101.09 thf(symdiffIneg1, axiom, (symdiffIneg1<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X5=>~(in @ X2 @ (symdiff @ X4 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffIneg1)). 100.89/101.09 thf(symdiffIneg2, axiom, (symdiffIneg2<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>(~(in @ X2 @ X5)=>~(in @ X2 @ (symdiff @ X4 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffIneg2)). 100.89/101.09 thf(secondinupair, axiom, (secondinupair<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', secondinupair)). 100.89/101.09 thf(setukpairIL, axiom, (setukpairIL<=>![X2:$i, X3:$i]:in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairIL)). 100.89/101.09 thf(setukpairIR, axiom, (setukpairIR<=>![X2:$i, X3:$i]:in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairIR)). 100.89/101.09 thf(c_0_141, axiom, (replAx)=(![X6:$i > $i > $o, X4:$i]:(![X2:$i]:(in @ X2 @ X4=>?[X387:$i]:(X6 @ X2 @ X387&![X389:$i]:(X6 @ X2 @ X389=>(X387)=(X389))))=>?[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))), inference(apply_def,[status(thm)],[replAx, exu])). 100.89/101.09 thf(c_0_142, axiom, (descrp)=(![X1:$i > $o]:(?[X390:$i]:(X1 @ X390&![X391:$i]:(X1 @ X391=>(X390)=(X391)))=>X1 @ (descr @ (^[X2:$i]:X1 @ X2)))), inference(apply_def,[status(thm)],[descrp, exu])). 100.89/101.09 thf(c_0_143, axiom, (exuE1)=(![X1:$i > $o]:(?[X392:$i]:(X1 @ X392&![X393:$i]:(X1 @ X393=>(X392)=(X393)))=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuE1, exu])). 100.89/101.09 thf(c_0_144, axiom, (exuE3e)=(![X1:$i > $o]:(?[X394:$i]:(X1 @ X394&![X395:$i]:(X1 @ X395=>(X394)=(X395)))=>?[X2:$i]:X1 @ X2)), inference(apply_def,[status(thm)],[exuE3e, exu])). 100.89/101.09 thf(c_0_145, axiom, (nonemptyE1)=(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:in @ X2 @ X4)), inference(apply_def,[status(thm)],[nonemptyE1, nonempty])). 100.89/101.09 thf(c_0_146, axiom, (nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))!=(emptyset)))), inference(apply_def,[status(thm)],[nonemptyI, nonempty])). 100.89/101.09 thf(c_0_147, axiom, (nonemptyI1)=(![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>(X4)!=(emptyset))), inference(apply_def,[status(thm)],[nonemptyI1, nonempty])). 100.89/101.09 thf(c_0_148, axiom, (exuE2)=(![X1:$i > $o]:(?[X396:$i]:(X1 @ X396&![X397:$i]:(X1 @ X397=>(X396)=(X397)))=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))), inference(apply_def,[status(thm)],[exuE2, exu])). 100.89/101.09 thf(c_0_149, axiom, (nonemptyImpWitness)=(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:(in @ X2 @ X4&$true))), inference(apply_def,[status(thm)],[nonemptyImpWitness, nonempty])). 100.89/101.09 thf(c_0_150, axiom, (exuI1)=(![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>?[X398:$i]:(X1 @ X398&![X399:$i]:(X1 @ X399=>(X398)=(X399))))), inference(apply_def,[status(thm)],[exuI1, exu])). 100.89/101.09 thf(c_0_151, axiom, (exuI3)=(![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>?[X400:$i]:(X1 @ X400&![X401:$i]:(X1 @ X401=>(X400)=(X401)))))), inference(apply_def,[status(thm)],[exuI3, exu])). 100.89/101.09 thf(c_0_152, axiom, (exuI2)=(![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>?[X402:$i]:(X1 @ X402&![X403:$i]:(X1 @ X403=>(X402)=(X403))))), inference(apply_def,[status(thm)],[exuI2, exu])). 100.89/101.09 thf(c_0_153, axiom, (exuE3u)=(![X1:$i > $o]:(?[X404:$i]:(X1 @ X404&![X405:$i]:(X1 @ X405=>(X404)=(X405)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuE3u, exu])). 100.89/101.09 thf(c_0_154, axiom, (exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X406:$i]:(X1 @ X406&![X407:$i]:(X1 @ X407=>(X406)=(X407)))<=>?[X408:$i]:(X17 @ X408&![X409:$i]:(X17 @ X409=>(X408)=(X409)))))), inference(apply_def,[status(thm)],[exu__Cong, exu])). 100.89/101.09 thf(c_0_155, axiom, (exuEu)=(![X1:$i > $o]:(?[X410:$i]:(X1 @ X410&![X411:$i]:(X1 @ X411=>(X410)=(X411)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuEu, exu])). 100.89/101.09 thf(c_0_156, axiom, (descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X412:$i]:(X1 @ X412&![X413:$i]:(X1 @ X413=>(X412)=(X413)))=>(?[X414:$i]:(X17 @ X414&![X415:$i]:(X17 @ X415=>(X414)=(X415)))=>(descr @ (^[X2:$i]:X1 @ X2))=(descr @ (^[X2:$i]:X17 @ X2)))))), inference(apply_def,[status(thm)],[descr__Cong, exu])). 100.89/101.09 thf(c_0_157, axiom, (kpairiskpair)=(![X2:$i, X3:$i]:?[X416:$i]:(in @ X416 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))&?[X417:$i]:(in @ X417 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))&(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X416 @ emptyset) @ (setadjoin @ (setadjoin @ X416 @ (setadjoin @ X417 @ emptyset)) @ emptyset))))), inference(apply_def,[status(thm)],[kpairiskpair, iskpair])). 100.89/101.09 thf(c_0_158, axiom, (kpairp)=(![X2:$i, X3:$i]:?[X418:$i]:(in @ X418 @ (setunion @ (kpair @ X2 @ X3))&?[X419:$i]:(in @ X419 @ (setunion @ (kpair @ X2 @ X3))&(kpair @ X2 @ X3)=(setadjoin @ (setadjoin @ X418 @ emptyset) @ (setadjoin @ (setadjoin @ X418 @ (setadjoin @ X419 @ emptyset)) @ emptyset))))), inference(apply_def,[status(thm)],[kpairp, iskpair])). 100.89/101.09 thf(c_0_159, plain, ![X2:$i, X1:$i > $o]:(epred2_2 @ X1 @ X2<=>X1 @ X2), introduced(definition)). 100.89/101.09 thf(c_0_160, plain, ![X2:$i]:epred3_1 @ X2, inference(fof_simplification,[status(thm)],[introduced(definition)])). 100.89/101.09 thf(c_0_161, plain, (epred4_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:$i]:(in @ X3 @ X9=>in @ X3 @ X8)|in @ X2 @ X9)))))), introduced(definition)). 100.89/101.09 thf(c_0_162, negated_conjecture, ~((![X4:$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:$i]:(in @ X2 @ X4=>?[X387:$i]:(X6 @ X2 @ X387&![X389:$i]:(X6 @ X2 @ X389=>(X387)=(X389))))=>?[X5:$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))))=>(epred4_0=>(![X1:$i > $o]:(?[X390:$i]:(X1 @ X390&![X391:$i]:(X1 @ X391=>(X390)=(X391)))=>X1 @ (descr @ (epred2_2 @ X1)))=>(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>in @ X2 @ (dsetconstr @ X4 @ (epred2_2 @ X1))))=>(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (epred2_2 @ X1))=>in @ X2 @ X4)=>(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (epred2_2 @ X1))=>X1 @ X2)=>(![X1:$i > $o]:(?[X392:$i]:(X1 @ X392&![X393:$i]:(X1 @ X393=>(X392)=(X393)))=>?[X2:$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 > $o]:(?[X394:$i]:(X1 @ X394&![X395:$i]:(X1 @ X395=>(X394)=(X395)))=>?[X2:$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 @ (epred2_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 @ (epred2_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:$i]:(dsetconstr @ X4 @ epred3_1)=(X4)=>(![X4:$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 > $o]:(?[X396:$i]:(X1 @ X396&![X397:$i]:(X1 @ X397=>(X396)=(X397)))=>?[X2:$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 @ (epred2_2 @ X1))!=(emptyset))=>(![X1:$i > $o, X2:$i]:(in @ X2 @ emptyset=>X1 @ X2)=>(![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~X1 @ X2))=>(![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>~X1 @ X2)=>~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)))=>(![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~X1 @ X2))=>(![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&~X1 @ X2)=>~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2)))=>(![X15:$o]:(X15=>((~X15|in @ emptyset @ (prop2set @ $true))&(X15|in @ emptyset @ (prop2set @ $false))))=>(![X16:$o]:(X16=>((~X16|set2prop @ (prop2set @ $true))&(X16|set2prop @ (prop2set @ $false))))=>(![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~X1 @ X2))=>(![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~X1 @ X2))=>(![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>?[X398:$i]:(X1 @ X398&![X399:$i]:(X1 @ X399=>(X398)=(X399))))=>(![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>?[X400:$i]:(X1 @ X400&![X401:$i]:(X1 @ X401=>(X400)=(X401)))))=>(![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>?[X402:$i]:(X1 @ X402&![X403:$i]:(X1 @ X403=>(X402)=(X403))))=>(![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4=>in @ X3 @ X5)))=>(![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4<=>in @ X3 @ X5)))=>(![X1:$i > $o]:(?[X404:$i]:(X1 @ X404&![X405:$i]:(X1 @ X405=>(X404)=(X405)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))=>(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X406:$i]:(X1 @ X406&![X407:$i]:(X1 @ X407=>(X406)=(X407)))<=>?[X408:$i]:(X17 @ X408&![X409:$i]:(X17 @ X409=>(X408)=(X409)))))=>((emptyset)=(emptyset)=>(![X2:$i, X3:$i]:((X2)=(X3)=>![X14:$i, X18:$i]:((X14)=(X18)=>(setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18)))=>(![X4:$i, X5:$i]:((X4)=(X5)=>(powerset @ X4)=(powerset @ X5))=>(![X4:$i, X5:$i]:((X4)=(X5)=>(setunion @ X4)=(setunion @ X5))=>((omega)=(omega)=>(![X1:$i > $o]:(?[X410:$i]:(X1 @ X410&![X411:$i]:(X1 @ X411=>(X410)=(X411)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))=>(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X412:$i]:(X1 @ X412&![X413:$i]:(X1 @ X413=>(X412)=(X413)))=>(?[X414:$i]:(X17 @ X414&![X415:$i]:(X17 @ X415=>(X414)=(X415)))=>(descr @ (epred2_2 @ X1))=(descr @ (epred2_2 @ X17)))))=>(![X4:$i, X5:$i]:((X4)=(X5)=>![X1:$i > $o, X17:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))))=>(dsetconstr @ X4 @ (epred2_2 @ X1))=(dsetconstr @ X5 @ (epred2_2 @ X17))))=>(![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)=>(![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X5 @ X4)=>(![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X4 @ X5)=>(![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)=>(![X4:$i]:subset @ emptyset @ X4=>(![X4:$i, X5:$i, X2:$i]:(subset @ X4 @ X5=>(in @ X2 @ X4=>in @ X2 @ X5))=>(![X4:$i, X5:$i, X2:$i]:(subset @ X4 @ X5=>(~in @ X2 @ X5=>~in @ X2 @ X4))=>(![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~in @ X2 @ X5=>~subset @ X4 @ X5))=>(![X4:$i, X5:$i]:(~subset @ X4 @ X5=>(X4)!=(X5))=>(![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~in @ X2 @ X5=>(X4)!=(X5)))=>(![X4:$i]:subset @ X4 @ X4=>(![X4:$i, X5:$i, X7:$i]:(subset @ X4 @ X5=>(subset @ X5 @ X7=>subset @ X4 @ X7))=>(![X2:$i, X4:$i]:subset @ X4 @ (setadjoin @ X2 @ X4)=>(![X4:$i, X2:$i, X5:$i]:(subset @ X4 @ X5=>subset @ X4 @ (setadjoin @ X2 @ X5))=>(![X4:$i, X5:$i]:(subset @ X4 @ X5=>in @ X4 @ (powerset @ X5))=>(![X4:$i, X5:$i]:(subset @ X4 @ X5=>(subset @ X5 @ X4=>(X4)=(X5)))=>(![X4:$i]:(subset @ X4 @ emptyset=>(X4)=(emptyset))=>(![X4:$i, X5:$i]:(subset @ X5 @ X4=>in @ X5 @ (powerset @ X4))=>(![X4:$i, X5:$i]:(in @ X5 @ (powerset @ X4)=>subset @ X5 @ X4)=>(![X4:$i]:in @ X4 @ (powerset @ X4)=>(![X4:$i, X5:$i]:(subset @ X4 @ X5=>subset @ (powerset @ X4) @ (powerset @ X5))=>(![X4:$i, X1:$i > $o]:in @ (dsetconstr @ X4 @ (epred2_2 @ X1)) @ (powerset @ X4)=>(![X4:$i, X1:$i > $o]:subset @ (dsetconstr @ X4 @ (epred2_2 @ X1)) @ X4=>(![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (binunion @ X4 @ X5))=>(![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>(![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X5=>in @ X2 @ (binunion @ X4 @ X5))=>(![X4:$i, X5:$i, X2:$i, X19:$o]:(in @ X2 @ (binunion @ X4 @ X5)=>((in @ X2 @ X4=>X19)=>((in @ X2 @ X5=>X19)=>X19)))=>(![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binunion @ X4 @ X5)=>(in @ X2 @ X4|in @ X2 @ X5))=>(![X4:$i, X5:$i]:subset @ X4 @ (binunion @ X4 @ X5)=>(![X4:$i, X5:$i]:subset @ X5 @ (binunion @ X4 @ X5)=>(![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X5=>in @ X2 @ (binintersect @ X4 @ X5)))=>(![X4:$i, X5:$i, X7:$i]:(subset @ X7 @ X4=>(subset @ X7 @ X5=>subset @ X7 @ (binintersect @ X4 @ X5)))=>(![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binintersect @ X4 @ X5)=>in @ X2 @ X4)=>(![X4:$i, X5:$i]:subset @ (binintersect @ X4 @ X5) @ X4=>(![X4:$i, X5:$i]:(subset @ X4 @ X5=>(binintersect @ X4 @ X5)=(X4))=>(![X4:$i, X5:$i]:((binintersect @ X4 @ X5)=(X5)=>subset @ X5 @ X4)=>(![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binintersect @ X4 @ X5)=>in @ X2 @ X5)=>(![X4:$i, X5:$i]:(~(?[X2:$i]:(in @ X2 @ X4&in @ X2 @ X5))=>(binintersect @ X4 @ X5)=(emptyset))=>(![X4:$i, X5:$i]:subset @ (binintersect @ X4 @ X5) @ X5=>(![X4:$i, X5:$i]:(subset @ X5 @ X4=>(binintersect @ X4 @ X5)=(X5))=>(![X4:$i, X5:$i]:((binintersect @ X4 @ X5)=(X4)=>subset @ X4 @ X5)=>(![X4:$i, X5:$i, X7:$i]:(binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))=>(![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~in @ X2 @ X5=>in @ X2 @ (setminus @ X4 @ X5)))=>(![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (setminus @ X4 @ X5)=>in @ X2 @ X4)=>(![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (setminus @ X4 @ X5)=>~in @ X2 @ X5)=>(![X4:$i, X5:$i]:(subset @ X4 @ X5=>(setminus @ X4 @ X5)=(emptyset))=>(![X4:$i, X5:$i, X2:$i]:(~in @ X2 @ (setminus @ X4 @ X5)=>(in @ X2 @ X4=>in @ X2 @ X5))=>(![X4:$i, X5:$i, X2:$i]:(~in @ X2 @ (setminus @ X4 @ X5)=>(~in @ X2 @ X5=>~in @ X2 @ X4))=>(![X4:$i, X5:$i, X2:$i]:(~in @ X2 @ X4=>~in @ X2 @ (setminus @ X4 @ X5))=>(![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X5=>~in @ X2 @ (setminus @ X4 @ X5))=>(![X4:$i, X5:$i]:subset @ (setminus @ X4 @ X5) @ X4=>(![X4:$i, X5:$i]:((setminus @ X4 @ X5)=(emptyset)=>subset @ X4 @ X5)=>(![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (symdiff @ X4 @ X5)=>![X20:$o]:((in @ X2 @ X4=>(~in @ X2 @ X5=>X20))=>((~in @ X2 @ X4=>(in @ X2 @ X5=>X20))=>X20)))=>(![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~in @ X2 @ X5=>in @ X2 @ (symdiff @ X4 @ X5)))=>(![X4:$i, X5:$i, X2:$i]:(~in @ X2 @ X4=>(in @ X2 @ X5=>in @ X2 @ (symdiff @ X4 @ X5)))=>(![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X5=>~in @ X2 @ (symdiff @ X4 @ X5)))=>(![X4:$i, X5:$i, X2:$i]:(~in @ X2 @ X4=>(~in @ X2 @ X5=>~in @ X2 @ (symdiff @ X4 @ X5)))=>(![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>(![X2:$i, X3:$i]:in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>(![X2:$i, X3:$i]:in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>(![X2:$i, X3:$i]:?[X416:$i]:(in @ X416 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))&?[X417:$i]:(in @ X417 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))&(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X416 @ emptyset) @ (setadjoin @ (setadjoin @ X416 @ (setadjoin @ X417 @ emptyset)) @ emptyset))))=>(![X2:$i, X3:$i]:?[X418:$i]:(in @ X418 @ (setunion @ (kpair @ X2 @ X3))&?[X419:$i]:(in @ X419 @ (setunion @ (kpair @ X2 @ X3))&(kpair @ X2 @ X3)=(setadjoin @ (setadjoin @ X418 @ emptyset) @ (setadjoin @ (setadjoin @ X418 @ (setadjoin @ X419 @ emptyset)) @ emptyset))))=>![X4:$i, X2:$i]:(in @ X2 @ X4=>subset @ (setadjoin @ X2 @ emptyset) @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[singletonsubset]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_141]), foundationAx]), wellorderingAx]), c_0_142]), dsetconstrI]), dsetconstrEL]), dsetconstrER]), c_0_143]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_144]), setext]), emptyI]), noeltsimpempty]), setbeta]), c_0_145]), c_0_146]), c_0_147]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), setoftrueEq]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_148]), c_0_149]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), emptyE1]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_150]), c_0_151]), c_0_152]), inCongP]), in__Cong]), c_0_153]), c_0_154]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_155]), c_0_156]), 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]), c_0_157]), c_0_158]), c_0_159]), c_0_159]), c_0_159]), c_0_159]), c_0_160]), c_0_159]), c_0_159]), c_0_159]), c_0_159]), c_0_159]), c_0_159]), c_0_159]), c_0_159]), c_0_159])])]), c_0_161])). 100.89/101.09 thf(c_0_163, negated_conjecture, ![X427:$i, X428:$i, X430:$i, X431:$i, X432:$i, X433:$i, X434:$i, X435:$i, X436:$i, X437:$i, X438:$i, X440:$i, X441:$i, X443:$i, X444:$i, X445:$i, X446:$i, X447:$i, X449:$i, X450:$i > $i > $o, X451:$i, X453:$i, X456:$i, X458:$i, X459:$i, X460:$i, X461:$i, X463:$i, X464:$i > $o, X465:$i, X467:$i, X468:$i > $o, X469:$i, X470:$i, X471:$i > $o, X472:$i, X473:$i, X474:$i > $o, X475:$i, X476:$i > $o, X477:$i, X480:$i, X481:$o, X482:$i, X483:$i, X484:$o, X485:$i, X486:$i, X487:$i > $o, X488:$i, X491:$i, X492:$i, X495:$i, X497:$i, X499:$i, X500:$i > $o, X501:$i, X502:$i, X504:$i, X505:$i > $o, X506:$i, X507:$i, X508:$i, X509:$i, X510:$i, X511:$i, X512:$i, X513:$i, X514:$i, X515:$i, X516:$i, X517:$o, X518:$i, X519:$i, X520:$i, X521:$i, X522:$i, X523:$i, X525:$i, X526:$i, X527:$i, X528:$i, X529:$i, X530:$i, X531:$i, X532:$i, X533:$i, X534:$i, X535:$o, X537:$i, X538:$i, X539:$i > $o, X540:$i, X543:$i, X544:$i, X545:$i, X547:$i, X548:$i, X549:$i, X550:$i, X551:$i, X552:$i, X553:$i, X554:$i, X555:$i, X556:$i, X557:$i, X558:$i, X559:$i, X560:$i, X561:$i, X562:$i, X563:$i > $o, X564:$i, X565:$i > $o, X566:$i, X567:$i, X568:$i > $o, X569:$i, X571:$i, X572:$i > $o, X574:$i, X575:$i, X576:$i > $o, X578:$i, X579:$i, X580:$i > $o, X581:$i, X583:$o, X584:$o, X585:$i, X586:$i > $o, X588:$i, X589:$i, X590:$i > $o, X591:$i, X593:$i > $o, X594:$i, X597:$i, X598:$i > $o, X599:$i, X603:$i, X604:$i > $o, X605:$i, X608:$i, X609:$i, X610:$i, X611:$i, X612:$i, X613:$i, X614:$i, X615:$i, X616:$i, X617:$i > $o, X618:$i, X620:$i, X621:$i, X622:$i > $o, X623:$i > $o, X626:$i, X629:$i, X630:$i, X633:$i, X634:$i, X635:$i, X636:$i, X637:$i, X638:$i, X639:$i, X640:$i, X641:$i, X642:$i > $o, X643:$i, X645:$i, X646:$i, X647:$i > $o, X648:$i > $o, X651:$i, X653:$i, X655:$i, X656:$i, X657:$i > $o, X658:$i > $o, X661:$i, X662:$i, X664:$i, X665:$i, X666:$i, X667:$i, X668:$i, X669:$i, X671:$i, X672:$i, X673:$i, X674:$i, X675:$i, X676:$i, X677:$i, X678:$i, X679:$i, X680:$i, X681:$i, X682:$i, X683:$i, X684:$i, X685:$i, X686:$i, X687:$i, X688:$i, X689:$i, X690:$i, X691:$i, X692:$i, X693:$i, X694:$i, X695:$i, X696:$i, X697:$i, X698:$i, X699:$i, X700:$i, X701:$i, X702:$i, X703:$i, X704:$i, X705:$i, X706:$i, X707:$i, X708:$i > $o, X709:$i, X710:$i > $o, X711:$i, X712:$i, X713:$i, X714:$i, X715:$i, X716:$i, X717:$i, X718:$i, X719:$i, X720:$i, X721:$i, X722:$o, X723:$i, X724:$i, X725:$i, X726:$i, X727:$i, X728:$i, X729:$i, X730:$i, X731:$i, X732:$i, X733:$i, X734:$i, X735:$i, X736:$i, X737:$i, X738:$i, X739:$i, X740:$i, X741:$i, X742:$i, X743:$i, X744:$i, X745:$i, X746:$i, X747:$i, X748:$i, X749:$i, X751:$i, X752:$i, X753:$i, X754:$i, X755:$i, X756:$i, X757:$i, X758:$i, X759:$i, X760:$i, X761:$i, X762:$i, X763:$i, X764:$i, X765:$i, X766:$i, X767:$i, X768:$i, X769:$i, X770:$i, X771:$i, X772:$i, X773:$i, X774:$i, X775:$i, X776:$i, X777:$i, X778:$i, X779:$i, X780:$i, X781:$i, X782:$i, X783:$i, X784:$i, X785:$i, X786:$i, X787:$i, X788:$i, X789:$i, X790:$o, X791:$i, X792:$i, X793:$i, X794:$i, X795:$i, X796:$i, X797:$i, X798:$i, X799:$i, X800:$i, X801:$i, X802:$i, X803:$i, X804:$i, X805:$i, X806:$i, X807:$i, X808:$i, X809:$i, X810:$i, X813:$i, X814:$i]:(((~in @ (esk1_2 @ X427 @ X428) @ X427|~in @ (esk1_2 @ X427 @ X428) @ X428|(X427)=(X428))&(in @ (esk1_2 @ X427 @ X428) @ X427|in @ (esk1_2 @ X427 @ X428) @ X428|(X427)=(X428)))&(~in @ X430 @ emptyset&(((~in @ X433 @ (setadjoin @ X431 @ X432)|((X433)=(X431)|in @ X433 @ X432))&(((X433)!=(X431)|in @ X433 @ (setadjoin @ X431 @ X432))&(~in @ X433 @ X432|in @ X433 @ (setadjoin @ X431 @ X432))))&(((~in @ X435 @ (powerset @ X434)|(~in @ X436 @ X435|in @ X436 @ X434))&((in @ (esk2_2 @ X437 @ X438) @ X438|in @ X438 @ (powerset @ X437))&(~in @ (esk2_2 @ X437 @ X438) @ X437|in @ X438 @ (powerset @ X437))))&((((in @ X441 @ (esk3_2 @ X440 @ X441)|~in @ X441 @ (setunion @ X440))&(in @ (esk3_2 @ X440 @ X441) @ X440|~in @ X441 @ (setunion @ X440)))&(~in @ X444 @ X445|~in @ X445 @ X443|in @ X444 @ (setunion @ X443)))&(in @ emptyset @ omega&((~in @ X446 @ omega|in @ (setadjoin @ X446 @ X446) @ omega)&((((in @ (esk4_1 @ X447) @ omega|~in @ emptyset @ X447|(~in @ X449 @ omega|in @ X449 @ X447))&(in @ (esk4_1 @ X447) @ X447|~in @ emptyset @ X447|(~in @ X449 @ omega|in @ X449 @ X447)))&(~in @ (setadjoin @ (esk4_1 @ X447) @ (esk4_1 @ X447)) @ X447|~in @ emptyset @ X447|(~in @ X449 @ omega|in @ X449 @ X447)))&(((((in @ (esk8_3 @ X450 @ X451 @ X456) @ X451|~in @ X456 @ (esk7_2 @ X450 @ X451)|in @ (esk5_2 @ X450 @ X451) @ X451)&(X450 @ (esk8_3 @ X450 @ X451 @ X456) @ X456|~in @ X456 @ (esk7_2 @ X450 @ X451)|in @ (esk5_2 @ X450 @ X451) @ X451))&(~in @ X459 @ X451|~X450 @ X459 @ X458|in @ X458 @ (esk7_2 @ X450 @ X451)|in @ (esk5_2 @ X450 @ X451) @ X451))&((((in @ (esk8_3 @ X450 @ X451 @ X456) @ X451|~in @ X456 @ (esk7_2 @ X450 @ X451)|(X450 @ (esk5_2 @ X450 @ X451) @ (esk6_3 @ X450 @ X451 @ X453)|~X450 @ (esk5_2 @ X450 @ X451) @ X453))&(X450 @ (esk8_3 @ X450 @ X451 @ X456) @ X456|~in @ X456 @ (esk7_2 @ X450 @ X451)|(X450 @ (esk5_2 @ X450 @ X451) @ (esk6_3 @ X450 @ X451 @ X453)|~X450 @ (esk5_2 @ X450 @ X451) @ X453)))&(~in @ X459 @ X451|~X450 @ X459 @ X458|in @ X458 @ (esk7_2 @ X450 @ X451)|(X450 @ (esk5_2 @ X450 @ X451) @ (esk6_3 @ X450 @ X451 @ X453)|~X450 @ (esk5_2 @ X450 @ X451) @ X453)))&(((in @ (esk8_3 @ X450 @ X451 @ X456) @ X451|~in @ X456 @ (esk7_2 @ X450 @ X451)|((X453)!=(esk6_3 @ X450 @ X451 @ X453)|~X450 @ (esk5_2 @ X450 @ X451) @ X453))&(X450 @ (esk8_3 @ X450 @ X451 @ X456) @ X456|~in @ X456 @ (esk7_2 @ X450 @ X451)|((X453)!=(esk6_3 @ X450 @ X451 @ X453)|~X450 @ (esk5_2 @ X450 @ X451) @ X453)))&(~in @ X459 @ X451|~X450 @ X459 @ X458|in @ X458 @ (esk7_2 @ X450 @ X451)|((X453)!=(esk6_3 @ X450 @ X451 @ X453)|~X450 @ (esk5_2 @ X450 @ X451) @ X453)))))&(((in @ (esk9_1 @ X460) @ X460|~in @ X461 @ X460)&(~in @ X463 @ (esk9_1 @ X460)|~in @ X463 @ X460|~in @ X461 @ X460))&(epred4_0&(((X464 @ (esk10_2 @ X464 @ X465)|~X464 @ X465|X464 @ (descr @ (epred2_2 @ X464)))&((X465)!=(esk10_2 @ X464 @ X465)|~X464 @ X465|X464 @ (descr @ (epred2_2 @ X464))))&((~in @ X469 @ X467|(~X468 @ X469|in @ X469 @ (dsetconstr @ X467 @ (epred2_2 @ X468))))&((~in @ X472 @ (dsetconstr @ X470 @ (epred2_2 @ X471))|in @ X472 @ X470)&((~in @ X475 @ (dsetconstr @ X473 @ (epred2_2 @ X474))|X474 @ X475)&((((X476 @ (esk12_1 @ X476)|(X476 @ (esk11_2 @ X476 @ X477)|~X476 @ X477))&(~X476 @ X480|(esk12_1 @ X476)=(X480)|(X476 @ (esk11_2 @ X476 @ X477)|~X476 @ X477)))&((X476 @ (esk12_1 @ X476)|((X477)!=(esk11_2 @ X476 @ X477)|~X476 @ X477))&(~X476 @ X480|(esk12_1 @ X476)=(X480)|((X477)!=(esk11_2 @ X476 @ X477)|~X476 @ X477))))&((((~X481|X481|X481)&(~in @ X482 @ (prop2set @ $false)|X481|X481))&((~X481|~in @ X482 @ (prop2set @ $true)|X481)&(~in @ X482 @ (prop2set @ $false)|~in @ X482 @ (prop2set @ $true)|X481)))&((~in @ X483 @ emptyset|X484)&(~in @ X485 @ emptyset&(~in @ X486 @ emptyset&(((X487 @ (esk13_2 @ X487 @ X488)|~X487 @ X488|X487 @ (esk14_1 @ X487))&((X488)!=(esk13_2 @ X487 @ X488)|~X487 @ X488|X487 @ (esk14_1 @ X487)))&((((in @ (esk16_2 @ X491 @ X492) @ X492|(X491)=(X492)|in @ (esk15_2 @ X491 @ X492) @ X491)&(~in @ (esk16_2 @ X491 @ X492) @ X491|(X491)=(X492)|in @ (esk15_2 @ X491 @ X492) @ X491))&((in @ (esk16_2 @ X491 @ X492) @ X492|(X491)=(X492)|~in @ (esk15_2 @ X491 @ X492) @ X492)&(~in @ (esk16_2 @ X491 @ X492) @ X491|(X491)=(X492)|~in @ (esk15_2 @ X491 @ X492) @ X492)))&((in @ (esk17_1 @ X495) @ X495|(X495)=(emptyset))&((in @ (esk18_1 @ X497) @ X497|(X497)=(emptyset))&(((~in @ X501 @ (dsetconstr @ X499 @ (epred2_2 @ X500))|X500 @ X501|~in @ X501 @ X499)&(~X500 @ X501|in @ X501 @ (dsetconstr @ X499 @ (epred2_2 @ X500))|~in @ X501 @ X499))&(((X502)=(emptyset)|in @ (esk19_1 @ X502) @ X502)&((~in @ X506 @ X504|(~X505 @ X506|(dsetconstr @ X504 @ (epred2_2 @ X505))!=(emptyset)))&((~in @ X508 @ X507|(X507)!=(emptyset))&(in @ X509 @ (setadjoin @ X509 @ X510)&(in @ emptyset @ (setadjoin @ emptyset @ emptyset)&((~in @ X513 @ X512|in @ X513 @ (setadjoin @ X511 @ X512))&((((in @ X516 @ X515|X517|(X516)=(X514)|~in @ X516 @ (setadjoin @ X514 @ X515))&(~X517|X517|(X516)=(X514)|~in @ X516 @ (setadjoin @ X514 @ X515)))&((in @ X516 @ X515|X517|~X517|~in @ X516 @ (setadjoin @ X514 @ X515))&(~X517|X517|~X517|~in @ X516 @ (setadjoin @ X514 @ X515))))&((~in @ X520 @ (setadjoin @ X518 @ X519)|((X520)=(X518)|in @ X520 @ X519))&((dsetconstr @ X521 @ epred3_1)=(X521)&(((in @ (esk20_2 @ X522 @ X523) @ X523|in @ X523 @ (powerset @ X522))&(~in @ (esk20_2 @ X522 @ X523) @ X522|in @ X523 @ (powerset @ X522)))&(in @ emptyset @ (powerset @ X525)&(in @ emptyset @ (powerset @ X526)&((~in @ X528 @ (powerset @ X527)|(~in @ X529 @ X528|in @ X529 @ X527))&((~in @ X531 @ X532|(~in @ X532 @ X530|in @ X531 @ (setunion @ X530)))&(((in @ X534 @ (esk21_3 @ X533 @ X534 @ X535)|X535|~in @ X534 @ (setunion @ X533))&((in @ (esk21_3 @ X533 @ X534 @ X535) @ X533|X535|~in @ X534 @ (setunion @ X533))&(~X535|X535|~in @ X534 @ (setunion @ X533))))&((~in @ X538 @ X537|in @ X538 @ (powerset @ (setunion @ X537)))&((((~X539 @ X543|(X543)=(esk23_1 @ X539)|(X539 @ (esk22_2 @ X539 @ X540)|~X539 @ X540))&((X544)!=(esk23_1 @ X539)|X539 @ X544|(X539 @ (esk22_2 @ X539 @ X540)|~X539 @ X540)))&((~X539 @ X543|(X543)=(esk23_1 @ X539)|((X540)!=(esk22_2 @ X539 @ X540)|~X539 @ X540))&((X544)!=(esk23_1 @ X539)|X539 @ X544|((X540)!=(esk22_2 @ X539 @ X540)|~X539 @ X540))))&(((X545)=(emptyset)|in @ (esk24_1 @ X545) @ X545)&((~in @ X547 @ (setadjoin @ X548 @ emptyset)|(X547)=(X548))&(((X549)=(X550)|~in @ X550 @ (setadjoin @ X549 @ emptyset))&(((X551)!=(X552)|in @ X551 @ (setadjoin @ X552 @ emptyset))&((~in @ X553 @ (setadjoin @ X554 @ emptyset)|in @ X554 @ (setadjoin @ X553 @ emptyset))&((~in @ X557 @ (setadjoin @ X555 @ (setadjoin @ X556 @ emptyset))|((X557)=(X555)|(X557)=(X556)))&(in @ X558 @ (setadjoin @ X558 @ (setadjoin @ X559 @ emptyset))&(in @ X561 @ (setadjoin @ X560 @ (setadjoin @ X561 @ emptyset))&((~in @ X564 @ X562|~X563 @ X564|(dsetconstr @ X562 @ (epred2_2 @ X563))!=(emptyset))&((~in @ X566 @ emptyset|X565 @ X566)&(((in @ (esk25_2 @ X567 @ X568) @ X567|(~in @ X569 @ X567|X568 @ X569))&(~X568 @ (esk25_2 @ X567 @ X568)|(~in @ X569 @ X567|X568 @ X569)))&(((in @ (esk26_2 @ X571 @ X572) @ X571|(~in @ X574 @ X571|~X572 @ X574))&(X572 @ (esk26_2 @ X571 @ X572)|(~in @ X574 @ X571|~X572 @ X574)))&(((in @ (esk27_2 @ X575 @ X576) @ X575|(~in @ X578 @ X575|~X576 @ X578))&(X576 @ (esk27_2 @ X575 @ X576)|(~in @ X578 @ X575|~X576 @ X578)))&(((in @ (esk28_2 @ X579 @ X580) @ X579|(~in @ X581 @ X579|X580 @ X581))&(~X580 @ (esk28_2 @ X579 @ X580)|(~in @ X581 @ X579|X580 @ X581)))&(((~X583|in @ emptyset @ (prop2set @ $true)|~X583)&(X583|in @ emptyset @ (prop2set @ $false)|~X583))&(((~X584|set2prop @ (prop2set @ $true)|~X584)&(X584|set2prop @ (prop2set @ $false)|~X584))&(((in @ (esk29_2 @ X585 @ X586) @ X585|(~in @ X588 @ X585|~X586 @ X588))&(X586 @ (esk29_2 @ X585 @ X586)|(~in @ X588 @ X585|~X586 @ X588)))&(((in @ (esk30_2 @ X589 @ X590) @ X589|(~in @ X591 @ X589|X590 @ X591))&(~X590 @ (esk30_2 @ X589 @ X590)|(~in @ X591 @ X589|X590 @ X591)))&((((X593 @ (esk32_1 @ X593)|(X593 @ (esk31_2 @ X593 @ X594)|~X593 @ X594))&(~X593 @ X597|(esk32_1 @ X593)=(X597)|(X593 @ (esk31_2 @ X593 @ X594)|~X593 @ X594)))&((X593 @ (esk32_1 @ X593)|((X594)!=(esk31_2 @ X593 @ X594)|~X593 @ X594))&(~X593 @ X597|(esk32_1 @ X593)=(X597)|((X594)!=(esk31_2 @ X593 @ X594)|~X593 @ X594))))&((((X598 @ (esk35_1 @ X598)|X598 @ (esk33_1 @ X598)|~X598 @ X599)&(~X598 @ X603|(esk35_1 @ X598)=(X603)|X598 @ (esk33_1 @ X598)|~X598 @ X599))&(((X598 @ (esk35_1 @ X598)|X598 @ (esk34_1 @ X598)|~X598 @ X599)&(~X598 @ X603|(esk35_1 @ X598)=(X603)|X598 @ (esk34_1 @ X598)|~X598 @ X599))&((X598 @ (esk35_1 @ X598)|(esk33_1 @ X598)!=(esk34_1 @ X598)|~X598 @ X599)&(~X598 @ X603|(esk35_1 @ X598)=(X603)|(esk33_1 @ X598)!=(esk34_1 @ X598)|~X598 @ X599))))&((((X604 @ (esk37_1 @ X604)|(~X604 @ (esk36_2 @ X604 @ X605)|(esk36_2 @ X604 @ X605)!=(X605)))&(~X604 @ X608|(esk37_1 @ X604)=(X608)|(~X604 @ (esk36_2 @ X604 @ X605)|(esk36_2 @ X604 @ X605)!=(X605))))&((X604 @ (esk37_1 @ X604)|(X604 @ (esk36_2 @ X604 @ X605)|(esk36_2 @ X604 @ X605)=(X605)))&(~X604 @ X608|(esk37_1 @ X604)=(X608)|(X604 @ (esk36_2 @ X604 @ X605)|(esk36_2 @ X604 @ X605)=(X605)))))&(((X609)!=(X610)|((X611)!=(X612)|(~in @ X611 @ X609|in @ X612 @ X610)))&(((~in @ X615 @ X613|in @ X616 @ X614|(X615)!=(X616)|(X613)!=(X614))&(~in @ X616 @ X614|in @ X615 @ X613|(X615)!=(X616)|(X613)!=(X614)))&(((X617 @ (esk38_2 @ X617 @ X618)|~X617 @ X618|(~X617 @ X620|(~X617 @ X621|(X620)=(X621))))&((X618)!=(esk38_2 @ X617 @ X618)|~X617 @ X618|(~X617 @ X620|(~X617 @ X621|(X620)=(X621)))))&((((((X623 @ (esk42_2 @ X622 @ X623)|(X622 @ (esk41_3 @ X622 @ X623 @ X626)|~X622 @ X626)|(esk39_2 @ X622 @ X623)=(esk40_2 @ X622 @ X623))&(~X623 @ X629|(esk42_2 @ X622 @ X623)=(X629)|(X622 @ (esk41_3 @ X622 @ X623 @ X626)|~X622 @ X626)|(esk39_2 @ X622 @ X623)=(esk40_2 @ X622 @ X623)))&((X623 @ (esk42_2 @ X622 @ X623)|((X626)!=(esk41_3 @ X622 @ X623 @ X626)|~X622 @ X626)|(esk39_2 @ X622 @ X623)=(esk40_2 @ X622 @ X623))&(~X623 @ X629|(esk42_2 @ X622 @ X623)=(X629)|((X626)!=(esk41_3 @ X622 @ X623 @ X626)|~X622 @ X626)|(esk39_2 @ X622 @ X623)=(esk40_2 @ X622 @ X623))))&(((X622 @ (esk44_2 @ X622 @ X623)|(X623 @ (esk43_3 @ X622 @ X623 @ X630)|~X623 @ X630)|(esk39_2 @ X622 @ X623)=(esk40_2 @ X622 @ X623))&(~X622 @ X633|(esk44_2 @ X622 @ X623)=(X633)|(X623 @ (esk43_3 @ X622 @ X623 @ X630)|~X623 @ X630)|(esk39_2 @ X622 @ X623)=(esk40_2 @ X622 @ X623)))&((X622 @ (esk44_2 @ X622 @ X623)|((X630)!=(esk43_3 @ X622 @ X623 @ X630)|~X623 @ X630)|(esk39_2 @ X622 @ X623)=(esk40_2 @ X622 @ X623))&(~X622 @ X633|(esk44_2 @ X622 @ X623)=(X633)|((X630)!=(esk43_3 @ X622 @ X623 @ X630)|~X623 @ X630)|(esk39_2 @ X622 @ X623)=(esk40_2 @ X622 @ X623)))))&(((((X623 @ (esk42_2 @ X622 @ X623)|(X622 @ (esk41_3 @ X622 @ X623 @ X626)|~X622 @ X626)|(~X622 @ (esk39_2 @ X622 @ X623)|~X623 @ (esk40_2 @ X622 @ X623)))&(~X623 @ X629|(esk42_2 @ X622 @ X623)=(X629)|(X622 @ (esk41_3 @ X622 @ X623 @ X626)|~X622 @ X626)|(~X622 @ (esk39_2 @ X622 @ X623)|~X623 @ (esk40_2 @ X622 @ X623))))&((X623 @ (esk42_2 @ X622 @ X623)|((X626)!=(esk41_3 @ X622 @ X623 @ X626)|~X622 @ X626)|(~X622 @ (esk39_2 @ X622 @ X623)|~X623 @ (esk40_2 @ X622 @ X623)))&(~X623 @ X629|(esk42_2 @ X622 @ X623)=(X629)|((X626)!=(esk41_3 @ X622 @ X623 @ X626)|~X622 @ X626)|(~X622 @ (esk39_2 @ X622 @ X623)|~X623 @ (esk40_2 @ X622 @ X623)))))&(((X622 @ (esk44_2 @ X622 @ X623)|(X623 @ (esk43_3 @ X622 @ X623 @ X630)|~X623 @ X630)|(~X622 @ (esk39_2 @ X622 @ X623)|~X623 @ (esk40_2 @ X622 @ X623)))&(~X622 @ X633|(esk44_2 @ X622 @ X623)=(X633)|(X623 @ (esk43_3 @ X622 @ X623 @ X630)|~X623 @ X630)|(~X622 @ (esk39_2 @ X622 @ X623)|~X623 @ (esk40_2 @ X622 @ X623))))&((X622 @ (esk44_2 @ X622 @ X623)|((X630)!=(esk43_3 @ X622 @ X623 @ X630)|~X623 @ X630)|(~X622 @ (esk39_2 @ X622 @ X623)|~X623 @ (esk40_2 @ X622 @ X623)))&(~X622 @ X633|(esk44_2 @ X622 @ X623)=(X633)|((X630)!=(esk43_3 @ X622 @ X623 @ X630)|~X623 @ X630)|(~X622 @ (esk39_2 @ X622 @ X623)|~X623 @ (esk40_2 @ X622 @ X623))))))&((((X623 @ (esk42_2 @ X622 @ X623)|(X622 @ (esk41_3 @ X622 @ X623 @ X626)|~X622 @ X626)|(X622 @ (esk39_2 @ X622 @ X623)|X623 @ (esk40_2 @ X622 @ X623)))&(~X623 @ X629|(esk42_2 @ X622 @ X623)=(X629)|(X622 @ (esk41_3 @ X622 @ X623 @ X626)|~X622 @ X626)|(X622 @ (esk39_2 @ X622 @ X623)|X623 @ (esk40_2 @ X622 @ X623))))&((X623 @ (esk42_2 @ X622 @ X623)|((X626)!=(esk41_3 @ X622 @ X623 @ X626)|~X622 @ X626)|(X622 @ (esk39_2 @ X622 @ X623)|X623 @ (esk40_2 @ X622 @ X623)))&(~X623 @ X629|(esk42_2 @ X622 @ X623)=(X629)|((X626)!=(esk41_3 @ X622 @ X623 @ X626)|~X622 @ X626)|(X622 @ (esk39_2 @ X622 @ X623)|X623 @ (esk40_2 @ X622 @ X623)))))&(((X622 @ (esk44_2 @ X622 @ X623)|(X623 @ (esk43_3 @ X622 @ X623 @ X630)|~X623 @ X630)|(X622 @ (esk39_2 @ X622 @ X623)|X623 @ (esk40_2 @ X622 @ X623)))&(~X622 @ X633|(esk44_2 @ X622 @ X623)=(X633)|(X623 @ (esk43_3 @ X622 @ X623 @ X630)|~X623 @ X630)|(X622 @ (esk39_2 @ X622 @ X623)|X623 @ (esk40_2 @ X622 @ X623))))&((X622 @ (esk44_2 @ X622 @ X623)|((X630)!=(esk43_3 @ X622 @ X623 @ X630)|~X623 @ X630)|(X622 @ (esk39_2 @ X622 @ X623)|X623 @ (esk40_2 @ X622 @ X623)))&(~X622 @ X633|(esk44_2 @ X622 @ X623)=(X633)|((X630)!=(esk43_3 @ X622 @ X623 @ X630)|~X623 @ X630)|(X622 @ (esk39_2 @ X622 @ X623)|X623 @ (esk40_2 @ X622 @ X623))))))))&((emptyset)=(emptyset)&(((X634)!=(X635)|((X636)!=(X637)|(setadjoin @ X634 @ X636)=(setadjoin @ X635 @ X637)))&(((X638)!=(X639)|(powerset @ X638)=(powerset @ X639))&(((X640)!=(X641)|(setunion @ X640)=(setunion @ X641))&((omega)=(omega)&(((X642 @ (esk45_2 @ X642 @ X643)|~X642 @ X643|(~X642 @ X645|(~X642 @ X646|(X645)=(X646))))&((X643)!=(esk45_2 @ X642 @ X643)|~X642 @ X643|(~X642 @ X645|(~X642 @ X646|(X645)=(X646)))))&(((((X648 @ (esk49_3 @ X647 @ X648 @ X653)|~X648 @ X653|(descr @ (epred2_2 @ X647))=(descr @ (epred2_2 @ X648))|(X647 @ (esk48_3 @ X647 @ X648 @ X651)|~X647 @ X651)|(esk46_2 @ X647 @ X648)=(esk47_2 @ X647 @ X648))&((X653)!=(esk49_3 @ X647 @ X648 @ X653)|~X648 @ X653|(descr @ (epred2_2 @ X647))=(descr @ (epred2_2 @ X648))|(X647 @ (esk48_3 @ X647 @ X648 @ X651)|~X647 @ X651)|(esk46_2 @ X647 @ X648)=(esk47_2 @ X647 @ X648)))&((X648 @ (esk49_3 @ X647 @ X648 @ X653)|~X648 @ X653|(descr @ (epred2_2 @ X647))=(descr @ (epred2_2 @ X648))|((X651)!=(esk48_3 @ X647 @ X648 @ X651)|~X647 @ X651)|(esk46_2 @ X647 @ X648)=(esk47_2 @ X647 @ X648))&((X653)!=(esk49_3 @ X647 @ X648 @ X653)|~X648 @ X653|(descr @ (epred2_2 @ X647))=(descr @ (epred2_2 @ X648))|((X651)!=(esk48_3 @ X647 @ X648 @ X651)|~X647 @ X651)|(esk46_2 @ X647 @ X648)=(esk47_2 @ X647 @ X648))))&((((X648 @ (esk49_3 @ X647 @ X648 @ X653)|~X648 @ X653|(descr @ (epred2_2 @ X647))=(descr @ (epred2_2 @ X648))|(X647 @ (esk48_3 @ X647 @ X648 @ X651)|~X647 @ X651)|(~X647 @ (esk46_2 @ X647 @ X648)|~X648 @ (esk47_2 @ X647 @ X648)))&((X653)!=(esk49_3 @ X647 @ X648 @ X653)|~X648 @ X653|(descr @ (epred2_2 @ X647))=(descr @ (epred2_2 @ X648))|(X647 @ (esk48_3 @ X647 @ X648 @ X651)|~X647 @ X651)|(~X647 @ (esk46_2 @ X647 @ X648)|~X648 @ (esk47_2 @ X647 @ X648))))&((X648 @ (esk49_3 @ X647 @ X648 @ X653)|~X648 @ X653|(descr @ (epred2_2 @ X647))=(descr @ (epred2_2 @ X648))|((X651)!=(esk48_3 @ X647 @ X648 @ X651)|~X647 @ X651)|(~X647 @ (esk46_2 @ X647 @ X648)|~X648 @ (esk47_2 @ X647 @ X648)))&((X653)!=(esk49_3 @ X647 @ X648 @ X653)|~X648 @ X653|(descr @ (epred2_2 @ X647))=(descr @ (epred2_2 @ X648))|((X651)!=(esk48_3 @ X647 @ X648 @ X651)|~X647 @ X651)|(~X647 @ (esk46_2 @ X647 @ X648)|~X648 @ (esk47_2 @ X647 @ X648)))))&(((X648 @ (esk49_3 @ X647 @ X648 @ X653)|~X648 @ X653|(descr @ (epred2_2 @ X647))=(descr @ (epred2_2 @ X648))|(X647 @ (esk48_3 @ X647 @ X648 @ X651)|~X647 @ X651)|(X647 @ (esk46_2 @ X647 @ X648)|X648 @ (esk47_2 @ X647 @ X648)))&((X653)!=(esk49_3 @ X647 @ X648 @ X653)|~X648 @ X653|(descr @ (epred2_2 @ X647))=(descr @ (epred2_2 @ X648))|(X647 @ (esk48_3 @ X647 @ X648 @ X651)|~X647 @ X651)|(X647 @ (esk46_2 @ X647 @ X648)|X648 @ (esk47_2 @ X647 @ X648))))&((X648 @ (esk49_3 @ X647 @ X648 @ X653)|~X648 @ X653|(descr @ (epred2_2 @ X647))=(descr @ (epred2_2 @ X648))|((X651)!=(esk48_3 @ X647 @ X648 @ X651)|~X647 @ X651)|(X647 @ (esk46_2 @ X647 @ X648)|X648 @ (esk47_2 @ X647 @ X648)))&((X653)!=(esk49_3 @ X647 @ X648 @ X653)|~X648 @ X653|(descr @ (epred2_2 @ X647))=(descr @ (epred2_2 @ X648))|((X651)!=(esk48_3 @ X647 @ X648 @ X651)|~X647 @ X651)|(X647 @ (esk46_2 @ X647 @ X648)|X648 @ (esk47_2 @ X647 @ X648)))))))&(((in @ (esk50_4 @ X655 @ X656 @ X657 @ X658) @ X655|(dsetconstr @ X655 @ (epred2_2 @ X657))=(dsetconstr @ X656 @ (epred2_2 @ X658))|(X655)!=(X656))&((in @ (esk51_4 @ X655 @ X656 @ X657 @ X658) @ X656|(dsetconstr @ X655 @ (epred2_2 @ X657))=(dsetconstr @ X656 @ (epred2_2 @ X658))|(X655)!=(X656))&(((esk50_4 @ X655 @ X656 @ X657 @ X658)=(esk51_4 @ X655 @ X656 @ X657 @ X658)|(dsetconstr @ X655 @ (epred2_2 @ X657))=(dsetconstr @ X656 @ (epred2_2 @ X658))|(X655)!=(X656))&((~X657 @ (esk50_4 @ X655 @ X656 @ X657 @ X658)|~X658 @ (esk51_4 @ X655 @ X656 @ X657 @ X658)|(dsetconstr @ X655 @ (epred2_2 @ X657))=(dsetconstr @ X656 @ (epred2_2 @ X658))|(X655)!=(X656))&(X657 @ (esk50_4 @ X655 @ X656 @ X657 @ X658)|X658 @ (esk51_4 @ X655 @ X656 @ X657 @ X658)|(dsetconstr @ X655 @ (epred2_2 @ X657))=(dsetconstr @ X656 @ (epred2_2 @ X658))|(X655)!=(X656))))))&(((in @ (esk52_2 @ X661 @ X662) @ X661|subset @ X661 @ X662)&(~in @ (esk52_2 @ X661 @ X662) @ X662|subset @ X661 @ X662))&(((X664)!=(X665)|subset @ X665 @ X664)&(((X666)!=(X667)|subset @ X666 @ X667)&(((in @ (esk53_2 @ X668 @ X669) @ X668|subset @ X668 @ X669)&(~in @ (esk53_2 @ X668 @ X669) @ X669|subset @ X668 @ X669))&(subset @ emptyset @ X671&((~subset @ X672 @ X673|(~in @ X674 @ X672|in @ X674 @ X673))&((~subset @ X675 @ X676|(in @ X677 @ X676|~in @ X677 @ X675))&((~in @ X680 @ X678|(in @ X680 @ X679|~subset @ X678 @ X679))&((subset @ X681 @ X682|(X681)!=(X682))&((~in @ X685 @ X683|(in @ X685 @ X684|(X683)!=(X684)))&(subset @ X686 @ X686&((~subset @ X687 @ X688|(~subset @ X688 @ X689|subset @ X687 @ X689))&(subset @ X691 @ (setadjoin @ X690 @ X691)&((~subset @ X692 @ X694|subset @ X692 @ (setadjoin @ X693 @ X694))&((~subset @ X695 @ X696|in @ X695 @ (powerset @ X696))&((~subset @ X697 @ X698|(~subset @ X698 @ X697|(X697)=(X698)))&((~subset @ X699 @ emptyset|(X699)=(emptyset))&((~subset @ X701 @ X700|in @ X701 @ (powerset @ X700))&((~in @ X703 @ (powerset @ X702)|subset @ X703 @ X702)&(in @ X704 @ (powerset @ X704)&((~subset @ X705 @ X706|subset @ (powerset @ X705) @ (powerset @ X706))&(in @ (dsetconstr @ X707 @ (epred2_2 @ X708)) @ (powerset @ X707)&(subset @ (dsetconstr @ X709 @ (epred2_2 @ X710)) @ X709&((~in @ X713 @ X711|in @ X713 @ (binunion @ X711 @ X712))&(in @ X715 @ (setadjoin @ X714 @ (setadjoin @ X715 @ emptyset))&((~in @ X718 @ X717|in @ X718 @ (binunion @ X716 @ X717))&((((in @ X721 @ X720|X722|in @ X721 @ X719|~in @ X721 @ (binunion @ X719 @ X720))&(~X722|X722|in @ X721 @ X719|~in @ X721 @ (binunion @ X719 @ X720)))&((in @ X721 @ X720|X722|~X722|~in @ X721 @ (binunion @ X719 @ X720))&(~X722|X722|~X722|~in @ X721 @ (binunion @ X719 @ X720))))&((~in @ X725 @ (binunion @ X723 @ X724)|(in @ X725 @ X723|in @ X725 @ X724))&(subset @ X726 @ (binunion @ X726 @ X727)&(subset @ X729 @ (binunion @ X728 @ X729)&((~in @ X732 @ X730|(~in @ X732 @ X731|in @ X732 @ (binintersect @ X730 @ X731)))&((~subset @ X735 @ X733|(~subset @ X735 @ X734|subset @ X735 @ (binintersect @ X733 @ X734)))&((~in @ X738 @ (binintersect @ X736 @ X737)|in @ X738 @ X736)&(subset @ (binintersect @ X739 @ X740) @ X739&((~subset @ X741 @ X742|(binintersect @ X741 @ X742)=(X741))&(((binintersect @ X743 @ X744)!=(X744)|subset @ X744 @ X743)&((~in @ X747 @ (binintersect @ X745 @ X746)|in @ X747 @ X746)&(((in @ (esk54_2 @ X748 @ X749) @ X748|(binintersect @ X748 @ X749)=(emptyset))&(in @ (esk54_2 @ X748 @ X749) @ X749|(binintersect @ X748 @ X749)=(emptyset)))&(subset @ (binintersect @ X751 @ X752) @ X752&((~subset @ X754 @ X753|(binintersect @ X753 @ X754)=(X754))&(((binintersect @ X755 @ X756)!=(X755)|subset @ X755 @ X756)&((binintersect @ X757 @ (binunion @ X758 @ X759))=(binunion @ (binintersect @ X757 @ X758) @ (binintersect @ X757 @ X759))&((~in @ X762 @ X760|(in @ X762 @ X761|in @ X762 @ (setminus @ X760 @ X761)))&((~in @ X765 @ (setminus @ X763 @ X764)|in @ X765 @ X763)&((~in @ X768 @ (setminus @ X766 @ X767)|~in @ X768 @ X767)&((~subset @ X769 @ X770|(setminus @ X769 @ X770)=(emptyset))&((in @ X773 @ (setminus @ X771 @ X772)|(~in @ X773 @ X771|in @ X773 @ X772))&((in @ X776 @ (setminus @ X774 @ X775)|(in @ X776 @ X775|~in @ X776 @ X774))&((in @ X779 @ X777|~in @ X779 @ (setminus @ X777 @ X778))&((~in @ X782 @ X781|~in @ X782 @ (setminus @ X780 @ X781))&(subset @ (setminus @ X783 @ X784) @ X783&(((setminus @ X785 @ X786)!=(emptyset)|subset @ X785 @ X786)&((((~in @ X789 @ X787|X790|in @ X789 @ X787|~in @ X789 @ (symdiff @ X787 @ X788))&((in @ X789 @ X788|X790|in @ X789 @ X787|~in @ X789 @ (symdiff @ X787 @ X788))&(~X790|X790|in @ X789 @ X787|~in @ X789 @ (symdiff @ X787 @ X788))))&(((~in @ X789 @ X787|X790|~in @ X789 @ X788|~in @ X789 @ (symdiff @ X787 @ X788))&((in @ X789 @ X788|X790|~in @ X789 @ X788|~in @ X789 @ (symdiff @ X787 @ X788))&(~X790|X790|~in @ X789 @ X788|~in @ X789 @ (symdiff @ X787 @ X788))))&((~in @ X789 @ X787|X790|~X790|~in @ X789 @ (symdiff @ X787 @ X788))&((in @ X789 @ X788|X790|~X790|~in @ X789 @ (symdiff @ X787 @ X788))&(~X790|X790|~X790|~in @ X789 @ (symdiff @ X787 @ X788))))))&((~in @ X793 @ X791|(in @ X793 @ X792|in @ X793 @ (symdiff @ X791 @ X792)))&((in @ X796 @ X794|(~in @ X796 @ X795|in @ X796 @ (symdiff @ X794 @ X795)))&((~in @ X799 @ X797|(~in @ X799 @ X798|~in @ X799 @ (symdiff @ X797 @ X798)))&((in @ X802 @ X800|(in @ X802 @ X801|~in @ X802 @ (symdiff @ X800 @ X801)))&(in @ X804 @ (setadjoin @ X803 @ (setadjoin @ X804 @ emptyset))&(in @ X805 @ (setunion @ (setadjoin @ (setadjoin @ X805 @ emptyset) @ (setadjoin @ (setadjoin @ X805 @ (setadjoin @ X806 @ emptyset)) @ emptyset)))&(in @ X808 @ (setunion @ (setadjoin @ (setadjoin @ X807 @ emptyset) @ (setadjoin @ (setadjoin @ X807 @ (setadjoin @ X808 @ emptyset)) @ emptyset)))&((in @ (esk55_2 @ X809 @ X810) @ (setunion @ (setadjoin @ (setadjoin @ X809 @ emptyset) @ (setadjoin @ (setadjoin @ X809 @ (setadjoin @ X810 @ emptyset)) @ emptyset)))&(in @ (esk56_2 @ X809 @ X810) @ (setunion @ (setadjoin @ (setadjoin @ X809 @ emptyset) @ (setadjoin @ (setadjoin @ X809 @ (setadjoin @ X810 @ emptyset)) @ emptyset)))&(setadjoin @ (setadjoin @ X809 @ emptyset) @ (setadjoin @ (setadjoin @ X809 @ (setadjoin @ X810 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ (esk55_2 @ X809 @ X810) @ emptyset) @ (setadjoin @ (setadjoin @ (esk55_2 @ X809 @ X810) @ (setadjoin @ (esk56_2 @ X809 @ X810) @ emptyset)) @ emptyset))))&((in @ (esk57_2 @ X813 @ X814) @ (setunion @ (kpair @ X813 @ X814))&(in @ (esk58_2 @ X813 @ X814) @ (setunion @ (kpair @ X813 @ X814))&(kpair @ X813 @ X814)=(setadjoin @ (setadjoin @ (esk57_2 @ X813 @ X814) @ emptyset) @ (setadjoin @ (setadjoin @ (esk57_2 @ X813 @ X814) @ (setadjoin @ (esk58_2 @ X813 @ X814) @ emptyset)) @ emptyset))))&(in @ esk60_0 @ esk59_0&~subset @ (setadjoin @ esk60_0 @ emptyset) @ esk59_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_162])])])])])])). 100.89/101.10 thf(c_0_164, negated_conjecture, ![X3:$i, X2:$i]:((X2)=(X3)|~in @ X3 @ (setadjoin @ X2 @ emptyset)), inference(split_conjunct,[status(thm)],[c_0_163])). 100.89/101.10 thf(c_0_165, negated_conjecture, ![X2:$i, X3:$i]:(in @ (esk52_2 @ X2 @ X3) @ X2|subset @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_163])). 100.89/101.10 thf(c_0_166, negated_conjecture, ~subset @ (setadjoin @ esk60_0 @ emptyset) @ esk59_0, inference(split_conjunct,[status(thm)],[c_0_163])). 100.89/101.10 thf(c_0_167, negated_conjecture, ![X2:$i, X3:$i]:((esk52_2 @ (setadjoin @ X2 @ emptyset) @ X3)=(X2)|subset @ (setadjoin @ X2 @ emptyset) @ X3), inference(spm,[status(thm)],[c_0_164, c_0_165])). 100.89/101.10 thf(c_0_168, negated_conjecture, ![X2:$i, X3:$i]:(subset @ X2 @ X3|~in @ (esk52_2 @ X2 @ X3) @ X3), inference(split_conjunct,[status(thm)],[c_0_163])). 100.89/101.10 thf(c_0_169, negated_conjecture, (esk52_2 @ (setadjoin @ esk60_0 @ emptyset) @ esk59_0)=(esk60_0), inference(spm,[status(thm)],[c_0_166, c_0_167])). 100.89/101.10 thf(c_0_170, negated_conjecture, in @ esk60_0 @ esk59_0, inference(split_conjunct,[status(thm)],[c_0_163])). 100.89/101.10 thf(c_0_171, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_169]), c_0_170])]), c_0_166]), ['proof']). 100.89/101.10 # SZS output end CNFRefutation 100.89/101.10 # Proof object total steps : 172 100.89/101.10 # Proof object clause steps : 8 100.89/101.10 # Proof object formula steps : 164 100.89/101.10 # Proof object conjectures : 11 100.89/101.10 # Proof object clause conjectures : 8 100.89/101.10 # Proof object formula conjectures : 3 100.89/101.10 # Proof object initial clauses used : 5 100.89/101.10 # Proof object initial formulas used : 141 100.89/101.10 # Proof object generating inferences : 3 100.89/101.10 # Proof object simplifying inferences : 3 100.89/101.10 # Training examples: 0 positive, 0 negative 100.89/101.10 # Parsed axioms : 303 100.89/101.10 # Removed by relevancy pruning/SinE : 0 100.89/101.10 # Initial clauses : 438 100.89/101.10 # Removed in clause preprocessing : 187 100.89/101.10 # Initial clauses in saturation : 251 100.89/101.10 # Processed clauses : 1486 100.89/101.10 # ...of these trivial : 17 100.89/101.10 # ...subsumed : 483 100.89/101.10 # ...remaining for further processing : 986 100.89/101.10 # Other redundant clauses eliminated : 2153 100.89/101.10 # Clauses deleted for lack of memory : 0 100.89/101.10 # Backward-subsumed : 4 100.89/101.10 # Backward-rewritten : 5 100.89/101.10 # Generated clauses : 49727 100.89/101.10 # ...of the previous two non-trivial : 35291 100.89/101.10 # Contextual simplify-reflections : 0 100.89/101.10 # Paramodulations : 34400 100.89/101.10 # Factorizations : 2 100.89/101.10 # NegExts : 15 100.89/101.10 # Equation resolutions : 2171 100.89/101.10 # Propositional unsat checks : 0 100.89/101.10 # Propositional check models : 0 100.89/101.10 # Propositional check unsatisfiable : 0 100.89/101.10 # Propositional clauses : 0 100.89/101.10 # Propositional clauses after purity: 0 100.89/101.10 # Propositional unsat core size : 0 100.89/101.10 # Propositional preprocessing time : 0.000 100.89/101.10 # Propositional encoding time : 0.000 100.89/101.10 # Propositional solver time : 0.000 100.89/101.10 # Success case prop preproc time : 0.000 100.89/101.10 # Success case prop encoding time : 0.000 100.89/101.10 # Success case prop solver time : 0.000 100.89/101.10 # Current number of processed clauses : 749 100.89/101.10 # Positive orientable unit clauses : 238 100.89/101.10 # Positive unorientable unit clauses: 0 100.89/101.10 # Negative unit clauses : 88 100.89/101.10 # Non-unit-clauses : 423 100.89/101.10 # Current number of unprocessed clauses: 34264 100.89/101.10 # ...number of literals in the above : 140797 100.89/101.10 # Current number of archived formulas : 0 100.89/101.10 # Current number of archived clauses : 226 100.89/101.10 # Clause-clause subsumption calls (NU) : 36425 100.89/101.10 # Rec. Clause-clause subsumption calls : 28259 100.89/101.10 # Non-unit clause-clause subsumptions : 229 100.89/101.10 # Unit Clause-clause subsumption calls : 2621 100.89/101.10 # Rewrite failures with RHS unbound : 0 100.89/101.10 # BW rewrite match attempts : 1074 100.89/101.10 # BW rewrite match successes : 4 100.89/101.10 # Condensation attempts : 0 100.89/101.10 # Condensation successes : 0 100.89/101.10 # Termbank termtop insertions : 1264664 100.89/101.10 100.89/101.10 # ------------------------------------------------- 100.89/101.10 # User time : 97.719 s 100.89/101.10 # System time : 3.045 s 100.89/101.10 # Total time : 100.764 s 100.89/101.10 # Maximum resident set size: 1956 pages 100.89/101.10 EOF