0.04/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.14/0.16 % Command : eprover-ho %s --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --free-numbers -auto-schedule -p --cpu-limit=%d --neg-ext=all --pos-ext=all --ext-sup-max-depth=2 --schedule-kind=CASC 0.16/0.36 % Computer : n027.cluster.edu 0.16/0.36 % Model : x86_64 x86_64 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.36 % Memory : 8042.1875MB 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.36 % CPULimit : 1200 0.16/0.36 % WCLimit : 120 0.16/0.36 % DateTime : Tue Jul 13 15:19:40 EDT 2021 0.22/0.37 % CPUTime : 0.22/0.37 % Number of cores: 8 0.22/0.37 % Python version: Python 3.6.8 0.22/0.37 # Version: 2.6rc1-ho 0.22/0.38 # No SInE strategy applied 0.22/0.38 # Trying AutoSched0 for 59 seconds 59.20/59.65 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d 59.20/59.65 # and selection function SelectCQIPrecWNTNp. 59.20/59.65 # 59.20/59.65 # Preprocessing time : 0.061 s 59.20/59.65 # Presaturation interreduction done 59.34/59.86 # No success with AutoSched0 59.34/59.86 # Trying AutoSched1 for 26 seconds 59.42/60.07 # AutoSched1-Mode selected heuristic G_E___211_C18_F1_AE_CS_SP_S0Y 59.42/60.07 # and selection function SelectMaxLComplexAvoidPosPred. 59.42/60.07 # 59.42/60.07 # Preprocessing time : 0.058 s 59.42/60.07 59.42/60.07 # Proof found! 59.42/60.07 # SZS status Theorem 59.42/60.07 # SZS output start CNFRefutation 59.42/60.07 thf(ex1, axiom, (ex1)=(^[X4:$i, X1:$i > $o]:?[X522:$i]:(in @ X522 @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))&(dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))=(setadjoin @ X522 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ex1)). 59.42/60.07 thf(singleton, axiom, (singleton)=(^[X4:$i]:?[X2:$i]:(in @ X2 @ X4&(X4)=(setadjoin @ X2 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singleton)). 59.42/60.07 thf(replAx, axiom, (replAx<=>![X6:$i > $i > $o, X4:$i]:(![X2:$i]:(in @ X2 @ X4=>exu @ (^[X3:$i]:X6 @ X2 @ X3))=>?[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', replAx)). 59.42/60.07 thf(exu, axiom, (exu)=(^[X1:$i > $o]:?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exu)). 59.42/60.07 thf(descrp, axiom, (descrp<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>X1 @ (descr @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', descrp)). 59.42/60.07 thf(exuE1, axiom, (exuE1<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE1)). 59.42/60.07 thf(exuE3e, axiom, (exuE3e<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:X1 @ X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE3e)). 59.42/60.07 thf(nonemptyE1, axiom, (nonemptyE1<=>![X4:$i]:(nonempty @ X4=>?[X2:$i]:in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyE1)). 59.42/60.07 thf(nonempty, axiom, (nonempty)=(^[X2:$i]:(X2)!=(emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonempty)). 59.42/60.07 thf(nonemptyI, axiom, (nonemptyI<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyI)). 59.42/60.07 thf(nonemptyI1, axiom, (nonemptyI1<=>![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>nonempty @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyI1)). 59.42/60.07 thf(exuE2, axiom, (exuE2<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE2)). 59.42/60.07 thf(nonemptyImpWitness, axiom, (nonemptyImpWitness<=>![X4:$i]:(nonempty @ X4=>?[X2:$i]:(in @ X2 @ X4&$true))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyImpWitness)). 59.42/60.07 thf(exuI1, axiom, (exuI1<=>![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>exu @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuI1)). 59.42/60.07 thf(exuI3, axiom, (exuI3<=>![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>exu @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuI3)). 59.42/60.07 thf(exuI2, axiom, (exuI2<=>![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>exu @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuI2)). 59.42/60.07 thf(exuE3u, axiom, (exuE3u<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE3u)). 59.42/60.07 thf(exu__Cong, axiom, (exu__Cong<=>![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(exu @ (^[X2:$i]:X1 @ X2)<=>exu @ (^[X2:$i]:X17 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exu__Cong)). 59.42/60.07 thf(exuEu, axiom, (exuEu<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuEu)). 59.42/60.07 thf(descr__Cong, axiom, (descr__Cong<=>![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(exu @ (^[X2:$i]:X1 @ X2)=>(exu @ (^[X2:$i]:X17 @ X2)=>(descr @ (^[X2:$i]:X1 @ X2))=(descr @ (^[X2:$i]:X17 @ X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', descr__Cong)). 59.42/60.07 thf(kpairiskpair, axiom, (kpairiskpair<=>![X2:$i, X3:$i]:iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', kpairiskpair)). 59.42/60.07 thf(iskpair, axiom, (iskpair)=(^[X4:$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)). 59.42/60.07 thf(kpairp, axiom, (kpairp<=>![X2:$i, X3:$i]:iskpair @ (kpair @ X2 @ X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', kpairp)). 59.42/60.07 thf(cartprodmempair, axiom, (cartprodmempair<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>iskpair @ X18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodmempair)). 59.42/60.07 thf(singletonprop, axiom, (singletonprop<=>![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))))=>(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>singleton @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletonprop)). 59.42/60.07 thf(ex1E1, axiom, (ex1E1<=>![X4:$i, X1:$i > $o]:(ex1 @ X4 @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:(in @ X2 @ X4&X1 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ex1E1)). 59.42/60.07 thf(ex1I, axiom, (ex1I<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(![X3:$i]:(in @ X3 @ X4=>(X1 @ X3=>(X3)=(X2)))=>ex1 @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ex1I)). 59.42/60.07 thf(ex1I2, axiom, (ex1I2<=>![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X4=>(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))))=>(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>ex1 @ X4 @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ex1I2)). 59.42/60.07 thf(kfstsingleton, axiom, (kfstsingleton<=>![X18:$i]:(iskpair @ X18=>singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:in @ (setadjoin @ X2 @ emptyset) @ X18)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', kfstsingleton)). 59.42/60.07 thf(theprop, axiom, (theprop<=>![X21:$i]:(singleton @ X21=>in @ (setunion @ X21) @ X21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', theprop)). 59.42/60.07 thf(setukpairinjR2, conjecture, ((((powersetAx=>((omega0Ax=>(omegaSAx=>((replAx=>(foundationAx=>(wellorderingAx=>(descrp=>(dsetconstrI=>(dsetconstrEL=>((exuE1=>(prop2setE=>(emptysetE=>(emptysetimpfalse=>(notinemptyset=>(exuE3e=>(((((((nonemptyI1=>((emptyinunitempty=>((((setoftrueEq=>(powersetI=>(emptyinPowerset=>(emptyInPowerset=>((((subPowSU=>(exuE2=>(((notinsingleton=>((singletonsswitch=>(upairsetE=>(upairsetIL=>((emptyE1=>((quantDeMorgan1=>(quantDeMorgan2=>(((prop2setI=>(((((exuI3=>(((in__Cong=>(exuE3u=>(((((setunion__Cong=>(((descr__Cong=>((subsetI1=>((((emptysetsubset=>((subsetE2=>(notsubsetI=>((notequalI2=>(subsetRefl=>(subsetTrans=>(setadjoinSub=>(setadjoinSub2=>(subset2powerset=>(setextsub=>((powersetI1=>((inPowerset=>(((sepSubset=>(binunionIL=>(upairset2IR=>((binunionEcases=>(binunionE=>(((((binintersectEL=>(binintersectLsub=>((binintersectSubset3=>(binintersectER=>((((binintersectSubset1=>(bs114d=>((setminusEL=>(setminusER=>(setminusSubset2=>(((((setminusLsub=>(setminusSubset1=>((symdiffI1=>(symdiffI2=>(symdiffIneg1=>(symdiffIneg2=>((setukpairIL=>(setukpairIR=>(kpairiskpair=>(((singletoninpowerset=>(singletoninpowunion=>(upairset2E=>(((((((cartprodmempair1=>((((setunionsingleton2=>((singletonprop=>((ex1I=>(ex1I2=>(singletonsuniq=>((kfstsingleton=>(theprop=>((cartprodfstin=>(((setukpairinjR11=>(setukpairinjR12=>(setukpairinjR1=>(![X2:$i, X3:$i, X14:$i, X18:$i]:((X3)=(X18)<=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))<=upairequniteq))))<=setukpairinjL)<=setukpairinjL2))<=kfstpairEq)))<=setukpairinjL1))))<=ex1E1))<=setunionsingleton))<=setunionsingleton1)<=setunionE2)<=cartprodmempair))<=cartprodpairin)<=ubforcartprodlem3)<=ubforcartprodlem2)<=ubforcartprodlem1)<=upairinpowunion)<=upairsubunion))))<=singletonsubset)<=kpairp))))<=secondinupair)))))<=symdiffE)))<=setminusIRneg)<=setminusILneg)<=setminusELneg)<=setminusERneg))))<=setminusI)))<=binintersectSubset4)<=binintersectRsub)<=disjointsetsI1)))<=binintersectSubset2)))<=binintersectSubset5)<=binintersectI)<=binunionRsub)<=binunionLsub)))<=binunionIR))))<=sepInPowerset)<=powersetsubset))<=powersetE1))<=subsetemptysetimpeq))))))))<=notequalI1)))<=subsetE))<=subsetI2)<=eqimpsubset1)<=eqimpsubset2))<=dsetconstr__Cong))<=exuEu)<=omega__Cong))<=powerset__Cong)<=setadjoin__Cong)<=emptyset__Cong)<=exu__Cong)))<=inCongP)<=exuI2))<=exuI1)<=notdallE)<=notdexE)<=prop2set2propI))<=quantDeMorgan4)<=quantDeMorgan3)))<=vacuousDall))<=upairsetIR))))<=eqinunit))<=uniqinunit)<=nonemptyImpWitness)))<=setunionE)<=setunionI)<=powersetE)))))<=setadjoinOr)<=setadjoinE)<=setadjoinIR))<=setadjoinIL))<=nonemptyI)<=nonemptyE1)<=setbeta)<=noeltsimpempty)<=emptyI)<=setext)))))))<=dsetconstrER)))))))<=omegaIndAx)))<=setunionAx))<=setadjoinAx)<=emptysetAx)<=setextAx), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairinjR2)). 59.42/60.07 thf(setextAx, axiom, (setextAx<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4<=>in @ X2 @ X5)=>(X4)=(X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setextAx)). 59.42/60.07 thf(emptysetAx, axiom, (emptysetAx<=>![X2:$i]:~(in @ X2 @ emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetAx)). 59.42/60.07 thf(setadjoinAx, axiom, (setadjoinAx<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)<=>((X3)=(X2)|in @ X3 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinAx)). 59.42/60.07 thf(powersetAx, axiom, (powersetAx<=>![X4:$i, X5:$i]:(in @ X5 @ (powerset @ X4)<=>![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetAx)). 59.42/60.07 thf(setunionAx, axiom, (setunionAx<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)<=>?[X5:$i]:(in @ X2 @ X5&in @ X5 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionAx)). 59.42/60.07 thf(omega0Ax, axiom, (omega0Ax<=>in @ emptyset @ omega), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omega0Ax)). 59.42/60.07 thf(omegaSAx, axiom, (omegaSAx<=>![X2:$i]:(in @ X2 @ omega=>in @ (setadjoin @ X2 @ X2) @ omega)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omegaSAx)). 59.42/60.07 thf(omegaIndAx, axiom, (omegaIndAx<=>![X4:$i]:((in @ emptyset @ X4&![X2:$i]:((in @ X2 @ omega&in @ X2 @ X4)=>in @ (setadjoin @ X2 @ X2) @ X4))=>![X2:$i]:(in @ X2 @ omega=>in @ X2 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omegaIndAx)). 59.42/60.07 thf(foundationAx, axiom, (foundationAx<=>![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>?[X5:$i]:(in @ X5 @ X4&~(?[X2:$i]:(in @ X2 @ X5&in @ X2 @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', foundationAx)). 59.42/60.07 thf(wellorderingAx, axiom, (wellorderingAx<=>![X4:$i]:?[X5:$i]:(((![X7:$i]:(in @ X7 @ X5=>![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X4))&![X2:$i, X3:$i]:((in @ X2 @ X4&in @ X3 @ X4)=>(![X7:$i]:(in @ X7 @ X5=>(in @ X2 @ X7<=>in @ X3 @ X7))=>(X2)=(X3))))&![X7:$i, X8:$i]:((in @ X7 @ X5&in @ X8 @ X5)=>(![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X8)|![X2:$i]:(in @ X2 @ X8=>in @ X2 @ X7))))&![X7:$i]:((![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X4)&?[X2:$i]:in @ X2 @ X7)=>?[X8:$i, X2:$i]:(((in @ X8 @ X5&in @ X2 @ X7)&~(?[X3:$i]:(in @ X3 @ X8&in @ X3 @ X7)))&![X9:$i]:(in @ X9 @ X5=>(![X3:$i]:(in @ X3 @ X9=>in @ X3 @ X8)|in @ X2 @ X9)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', wellorderingAx)). 59.42/60.07 thf(dsetconstrI, axiom, (dsetconstrI<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrI)). 59.42/60.07 thf(dsetconstrEL, axiom, (dsetconstrEL<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))=>in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrEL)). 59.42/60.07 thf(dsetconstrER, axiom, (dsetconstrER<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))=>X1 @ X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrER)). 59.42/60.07 thf(prop2setE, axiom, (prop2setE<=>![X10:$o, X2:$i]:(in @ X2 @ (prop2set @ (X10))=>X10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prop2setE)). 59.42/60.07 thf(emptysetE, axiom, (emptysetE<=>![X2:$i]:(in @ X2 @ emptyset=>![X11:$o]:X11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetE)). 59.42/60.07 thf(emptysetimpfalse, axiom, (emptysetimpfalse<=>![X2:$i]:(in @ X2 @ emptyset=>~$true)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetimpfalse)). 59.42/60.07 thf(notinemptyset, axiom, (notinemptyset<=>![X2:$i]:~(in @ X2 @ emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notinemptyset)). 59.42/60.07 thf(setext, axiom, (setext<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>(X4)=(X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setext)). 59.42/60.07 thf(emptyI, axiom, (emptyI<=>![X4:$i]:(![X2:$i]:~(in @ X2 @ X4)=>(X4)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyI)). 59.42/60.07 thf(noeltsimpempty, axiom, (noeltsimpempty<=>![X4:$i]:(![X2:$i]:~(in @ X2 @ X4)=>(X4)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', noeltsimpempty)). 59.42/60.07 thf(setbeta, axiom, (setbeta<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))<=>X1 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setbeta)). 59.42/60.07 thf(setadjoinIL, axiom, (setadjoinIL<=>![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinIL)). 59.42/60.07 thf(emptyinunitempty, axiom, (emptyinunitempty<=>in @ emptyset @ (setadjoin @ emptyset @ emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyinunitempty)). 59.42/60.07 thf(setadjoinIR, axiom, (setadjoinIR<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ X4=>in @ X3 @ (setadjoin @ X2 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinIR)). 59.42/60.07 thf(setadjoinE, axiom, (setadjoinE<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>![X12:$o]:(((X3)=(X2)=>X12)=>((in @ X3 @ X4=>X12)=>X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinE)). 59.42/60.07 thf(setadjoinOr, axiom, (setadjoinOr<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>((X3)=(X2)|in @ X3 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinOr)). 59.42/60.07 thf(setoftrueEq, axiom, (setoftrueEq<=>![X4:$i]:(dsetconstr @ X4 @ (^[X2:$i]:$true))=(X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setoftrueEq)). 59.42/60.07 thf(powersetI, axiom, (powersetI<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>in @ X5 @ (powerset @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetI)). 59.42/60.07 thf(emptyinPowerset, axiom, (emptyinPowerset<=>![X4:$i]:in @ emptyset @ (powerset @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyinPowerset)). 59.42/60.07 thf(emptyInPowerset, axiom, (emptyInPowerset<=>![X4:$i]:in @ emptyset @ (powerset @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyInPowerset)). 59.42/60.07 thf(powersetE, axiom, (powersetE<=>![X4:$i, X5:$i, X2:$i]:(in @ X5 @ (powerset @ X4)=>(in @ X2 @ X5=>in @ X2 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetE)). 59.42/60.07 thf(setunionI, axiom, (setunionI<=>![X4:$i, X2:$i, X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>in @ X2 @ (setunion @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionI)). 59.42/60.07 thf(setunionE, axiom, (setunionE<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)=>![X13:$o]:(![X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>X13))=>X13))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionE)). 59.42/60.07 thf(subPowSU, axiom, (subPowSU<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (powerset @ (setunion @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subPowSU)). 59.42/60.07 thf(uniqinunit, axiom, (uniqinunit<=>![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', uniqinunit)). 59.42/60.07 thf(notinsingleton, axiom, (notinsingleton<=>![X2:$i, X3:$i]:((X2)!=(X3)=>~(in @ X3 @ (setadjoin @ X2 @ emptyset)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notinsingleton)). 59.42/60.07 thf(eqinunit, axiom, (eqinunit<=>![X2:$i, X3:$i]:((X2)=(X3)=>in @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eqinunit)). 59.42/60.07 thf(singletonsswitch, axiom, (singletonsswitch<=>![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>in @ X3 @ (setadjoin @ X2 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletonsswitch)). 59.42/60.07 thf(upairsetE, axiom, (upairsetE<=>![X2:$i, X3:$i, X14:$i]:(in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>((X14)=(X2)|(X14)=(X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsetE)). 59.42/60.07 thf(upairsetIL, axiom, (upairsetIL<=>![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsetIL)). 59.42/60.07 thf(upairsetIR, axiom, (upairsetIR<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsetIR)). 59.42/60.07 thf(emptyE1, axiom, (emptyE1<=>![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>((dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))=(emptyset)=>~$true))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyE1)). 59.42/60.07 thf(vacuousDall, axiom, (vacuousDall<=>![X1:$i > $o, X2:$i]:(in @ X2 @ emptyset=>X1 @ X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', vacuousDall)). 59.42/60.07 thf(quantDeMorgan1, axiom, (quantDeMorgan1<=>![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan1)). 59.42/60.07 thf(quantDeMorgan2, axiom, (quantDeMorgan2<=>![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2))=>~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan2)). 59.42/60.07 thf(quantDeMorgan3, axiom, (quantDeMorgan3<=>![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan3)). 59.42/60.07 thf(quantDeMorgan4, axiom, (quantDeMorgan4<=>![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2))=>~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan4)). 59.42/60.07 thf(prop2setI, axiom, (prop2setI<=>![X15:$o]:(X15=>in @ emptyset @ (prop2set @ (X15)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prop2setI)). 59.42/60.07 thf(prop2set2propI, axiom, (prop2set2propI<=>![X16:$o]:(X16=>set2prop @ (prop2set @ (X16)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prop2set2propI)). 59.42/60.07 thf(notdexE, axiom, (notdexE<=>![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notdexE)). 59.42/60.07 thf(notdallE, axiom, (notdallE<=>![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notdallE)). 59.42/60.07 thf(inCongP, axiom, (inCongP<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4=>in @ X3 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', inCongP)). 59.42/60.07 thf(in__Cong, axiom, (in__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4<=>in @ X3 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', in__Cong)). 59.42/60.07 thf(emptyset__Cong, axiom, (emptyset__Cong<=>(emptyset)=(emptyset)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyset__Cong)). 59.42/60.07 thf(setadjoin__Cong, axiom, (setadjoin__Cong<=>![X2:$i, X3:$i]:((X2)=(X3)=>![X14:$i, X18:$i]:((X14)=(X18)=>(setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoin__Cong)). 59.42/60.07 thf(powerset__Cong, axiom, (powerset__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>(powerset @ X4)=(powerset @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powerset__Cong)). 59.42/60.07 thf(setunion__Cong, axiom, (setunion__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>(setunion @ X4)=(setunion @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunion__Cong)). 59.42/60.07 thf(omega__Cong, axiom, (omega__Cong<=>(omega)=(omega)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omega__Cong)). 59.42/60.07 thf(dsetconstr__Cong, axiom, (dsetconstr__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X1:$i > $o, X17:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))))=>(dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))=(dsetconstr @ X5 @ (^[X2:$i]:X17 @ X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstr__Cong)). 59.42/60.07 thf(subsetI1, axiom, (subsetI1<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetI1)). 59.42/60.07 thf(eqimpsubset2, axiom, (eqimpsubset2<=>![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X5 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eqimpsubset2)). 59.42/60.07 thf(eqimpsubset1, axiom, (eqimpsubset1<=>![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eqimpsubset1)). 59.42/60.07 thf(subsetI2, axiom, (subsetI2<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetI2)). 59.42/60.07 thf(emptysetsubset, axiom, (emptysetsubset<=>![X4:$i]:subset @ emptyset @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetsubset)). 59.42/60.07 thf(subsetE, axiom, (subsetE<=>![X4:$i, X5:$i, X2:$i]:(subset @ X4 @ X5=>(in @ X2 @ X4=>in @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetE)). 59.42/60.07 thf(subsetE2, axiom, (subsetE2<=>![X4:$i, X5:$i, X2:$i]:(subset @ X4 @ X5=>(~(in @ X2 @ X5)=>~(in @ X2 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetE2)). 59.42/60.07 thf(notsubsetI, axiom, (notsubsetI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>~(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notsubsetI)). 59.42/60.07 thf(notequalI1, axiom, (notequalI1<=>![X4:$i, X5:$i]:(~(subset @ X4 @ X5)=>(X4)!=(X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notequalI1)). 59.42/60.07 thf(notequalI2, axiom, (notequalI2<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>(X4)!=(X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notequalI2)). 59.42/60.07 thf(subsetRefl, axiom, (subsetRefl<=>![X4:$i]:subset @ X4 @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetRefl)). 59.42/60.07 thf(subsetTrans, axiom, (subsetTrans<=>![X4:$i, X5:$i, X7:$i]:(subset @ X4 @ X5=>(subset @ X5 @ X7=>subset @ X4 @ X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetTrans)). 59.42/60.07 thf(setadjoinSub, axiom, (setadjoinSub<=>![X2:$i, X4:$i]:subset @ X4 @ (setadjoin @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinSub)). 59.42/60.07 thf(setadjoinSub2, axiom, (setadjoinSub2<=>![X4:$i, X2:$i, X5:$i]:(subset @ X4 @ X5=>subset @ X4 @ (setadjoin @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinSub2)). 59.42/60.07 thf(subset2powerset, axiom, (subset2powerset<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>in @ X4 @ (powerset @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset2powerset)). 59.42/60.07 thf(setextsub, axiom, (setextsub<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(subset @ X5 @ X4=>(X4)=(X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setextsub)). 59.42/60.07 thf(subsetemptysetimpeq, axiom, (subsetemptysetimpeq<=>![X4:$i]:(subset @ X4 @ emptyset=>(X4)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetemptysetimpeq)). 59.42/60.07 thf(powersetI1, axiom, (powersetI1<=>![X4:$i, X5:$i]:(subset @ X5 @ X4=>in @ X5 @ (powerset @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetI1)). 59.42/60.07 thf(powersetE1, axiom, (powersetE1<=>![X4:$i, X5:$i]:(in @ X5 @ (powerset @ X4)=>subset @ X5 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetE1)). 59.42/60.07 thf(inPowerset, axiom, (inPowerset<=>![X4:$i]:in @ X4 @ (powerset @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', inPowerset)). 59.42/60.07 thf(powersetsubset, axiom, (powersetsubset<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>subset @ (powerset @ X4) @ (powerset @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetsubset)). 59.42/60.07 thf(sepInPowerset, axiom, (sepInPowerset<=>![X4:$i, X1:$i > $o]:in @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2)) @ (powerset @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sepInPowerset)). 59.42/60.07 thf(sepSubset, axiom, (sepSubset<=>![X4:$i, X1:$i > $o]:subset @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2)) @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sepSubset)). 59.42/60.07 thf(binunionIL, axiom, (binunionIL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (binunion @ X4 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionIL)). 59.42/60.07 thf(upairset2IR, axiom, (upairset2IR<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairset2IR)). 59.42/60.07 thf(binunionIR, axiom, (binunionIR<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X5=>in @ X2 @ (binunion @ X4 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionIR)). 59.42/60.07 thf(binunionEcases, axiom, (binunionEcases<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(in @ X2 @ (binunion @ X4 @ X5)=>((in @ X2 @ X4=>X19)=>((in @ X2 @ X5=>X19)=>X19)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionEcases)). 59.42/60.07 thf(binunionE, axiom, (binunionE<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binunion @ X4 @ X5)=>(in @ X2 @ X4|in @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionE)). 59.42/60.07 thf(binunionLsub, axiom, (binunionLsub<=>![X4:$i, X5:$i]:subset @ X4 @ (binunion @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionLsub)). 59.42/60.07 thf(binunionRsub, axiom, (binunionRsub<=>![X4:$i, X5:$i]:subset @ X5 @ (binunion @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionRsub)). 59.42/60.07 thf(binintersectI, axiom, (binintersectI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X5=>in @ X2 @ (binintersect @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectI)). 59.42/60.07 thf(binintersectSubset5, axiom, (binintersectSubset5<=>![X4:$i, X5:$i, X7:$i]:(subset @ X7 @ X4=>(subset @ X7 @ X5=>subset @ X7 @ (binintersect @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset5)). 59.42/60.07 thf(binintersectEL, axiom, (binintersectEL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binintersect @ X4 @ X5)=>in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectEL)). 59.42/60.07 thf(binintersectLsub, axiom, (binintersectLsub<=>![X4:$i, X5:$i]:subset @ (binintersect @ X4 @ X5) @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectLsub)). 59.42/60.07 thf(binintersectSubset2, axiom, (binintersectSubset2<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(binintersect @ X4 @ X5)=(X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset2)). 59.42/60.07 thf(binintersectSubset3, axiom, (binintersectSubset3<=>![X4:$i, X5:$i]:((binintersect @ X4 @ X5)=(X5)=>subset @ X5 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset3)). 59.42/60.07 thf(binintersectER, axiom, (binintersectER<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (binintersect @ X4 @ X5)=>in @ X2 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectER)). 59.42/60.07 thf(disjointsetsI1, axiom, (disjointsetsI1<=>![X4:$i, X5:$i]:(~(?[X2:$i]:(in @ X2 @ X4&in @ X2 @ X5))=>(binintersect @ X4 @ X5)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', disjointsetsI1)). 59.42/60.07 thf(binintersectRsub, axiom, (binintersectRsub<=>![X4:$i, X5:$i]:subset @ (binintersect @ X4 @ X5) @ X5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectRsub)). 59.42/60.07 thf(binintersectSubset4, axiom, (binintersectSubset4<=>![X4:$i, X5:$i]:(subset @ X5 @ X4=>(binintersect @ X4 @ X5)=(X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset4)). 59.42/60.07 thf(binintersectSubset1, axiom, (binintersectSubset1<=>![X4:$i, X5:$i]:((binintersect @ X4 @ X5)=(X4)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset1)). 59.42/60.07 thf(bs114d, axiom, (bs114d<=>![X4:$i, X5:$i, X7:$i]:(binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', bs114d)). 59.42/60.07 thf(setminusI, axiom, (setminusI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusI)). 59.42/60.07 thf(setminusEL, axiom, (setminusEL<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (setminus @ X4 @ X5)=>in @ X2 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusEL)). 59.42/60.07 thf(setminusER, axiom, (setminusER<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (setminus @ X4 @ X5)=>~(in @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusER)). 59.42/60.07 thf(setminusSubset2, axiom, (setminusSubset2<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>(setminus @ X4 @ X5)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusSubset2)). 59.42/60.07 thf(setminusERneg, axiom, (setminusERneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4=>in @ X2 @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusERneg)). 59.42/60.07 thf(setminusELneg, axiom, (setminusELneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ (setminus @ X4 @ X5))=>(~(in @ X2 @ X5)=>~(in @ X2 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusELneg)). 59.42/60.07 thf(setminusILneg, axiom, (setminusILneg<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>~(in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusILneg)). 59.42/60.07 thf(setminusIRneg, axiom, (setminusIRneg<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X5=>~(in @ X2 @ (setminus @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusIRneg)). 59.42/60.07 thf(setminusLsub, axiom, (setminusLsub<=>![X4:$i, X5:$i]:subset @ (setminus @ X4 @ X5) @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusLsub)). 59.42/60.07 thf(setminusSubset1, axiom, (setminusSubset1<=>![X4:$i, X5:$i]:((setminus @ X4 @ X5)=(emptyset)=>subset @ X4 @ X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusSubset1)). 59.42/60.07 thf(symdiffE, axiom, (symdiffE<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ (symdiff @ X4 @ X5)=>![X20:$o]:((in @ X2 @ X4=>(~(in @ X2 @ X5)=>X20))=>((~(in @ X2 @ X4)=>(in @ X2 @ X5=>X20))=>X20)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffE)). 59.42/60.07 thf(symdiffI1, axiom, (symdiffI1<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>in @ X2 @ (symdiff @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffI1)). 59.42/60.07 thf(symdiffI2, axiom, (symdiffI2<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>(in @ X2 @ X5=>in @ X2 @ (symdiff @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffI2)). 59.42/60.07 thf(symdiffIneg1, axiom, (symdiffIneg1<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ X5=>~(in @ X2 @ (symdiff @ X4 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffIneg1)). 59.42/60.07 thf(symdiffIneg2, axiom, (symdiffIneg2<=>![X4:$i, X5:$i, X2:$i]:(~(in @ X2 @ X4)=>(~(in @ X2 @ X5)=>~(in @ X2 @ (symdiff @ X4 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffIneg2)). 59.42/60.07 thf(secondinupair, axiom, (secondinupair<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', secondinupair)). 59.42/60.07 thf(setukpairIL, axiom, (setukpairIL<=>![X2:$i, X3:$i]:in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairIL)). 59.42/60.07 thf(setukpairIR, axiom, (setukpairIR<=>![X2:$i, X3:$i]:in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairIR)). 59.42/60.07 thf(singletonsubset, axiom, (singletonsubset<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>subset @ (setadjoin @ X2 @ emptyset) @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletonsubset)). 59.42/60.07 thf(singletoninpowerset, axiom, (singletoninpowerset<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletoninpowerset)). 59.42/60.07 thf(singletoninpowunion, axiom, (singletoninpowunion<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletoninpowunion)). 59.42/60.07 thf(upairset2E, axiom, (upairset2E<=>![X2:$i, X3:$i, X14:$i]:(in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>((X14)=(X2)|(X14)=(X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairset2E)). 59.42/60.07 thf(upairsubunion, axiom, (upairsubunion<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsubunion)). 59.42/60.07 thf(upairinpowunion, axiom, (upairinpowunion<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairinpowunion)). 59.42/60.07 thf(ubforcartprodlem1, axiom, (ubforcartprodlem1<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ubforcartprodlem1)). 59.42/60.07 thf(ubforcartprodlem2, axiom, (ubforcartprodlem2<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ubforcartprodlem2)). 59.42/60.07 thf(ubforcartprodlem3, axiom, (ubforcartprodlem3<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ubforcartprodlem3)). 59.42/60.07 thf(cartprodpairin, axiom, (cartprodpairin<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodpairin)). 59.42/60.07 thf(cartprodmempair1, axiom, (cartprodmempair1<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>?[X2:$i]:(in @ X2 @ X4&?[X3:$i]:(in @ X3 @ X5&(X18)=(kpair @ X2 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodmempair1)). 59.42/60.07 thf(setunionE2, axiom, (setunionE2<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)=>?[X21:$i]:(in @ X21 @ X4&in @ X2 @ X21))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionE2)). 59.42/60.07 thf(setunionsingleton1, axiom, (setunionsingleton1<=>![X4:$i]:subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionsingleton1)). 59.42/60.07 thf(setunionsingleton2, axiom, (setunionsingleton2<=>![X4:$i]:subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionsingleton2)). 59.42/60.07 thf(setunionsingleton, axiom, (setunionsingleton<=>![X2:$i]:(setunion @ (setadjoin @ X2 @ emptyset))=(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionsingleton)). 59.42/60.07 thf(singletonsuniq, axiom, (singletonsuniq<=>![X2:$i, X3:$i]:((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletonsuniq)). 59.42/60.07 thf(setukpairinjL1, axiom, (setukpairinjL1<=>![X2:$i, X3:$i, X14:$i]:(in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=>(X2)=(X14))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairinjL1)). 59.42/60.07 thf(kfstpairEq, axiom, (kfstpairEq<=>![X2:$i, X3:$i]:(kfst @ (kpair @ X2 @ X3))=(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', kfstpairEq)). 59.42/60.07 thf(cartprodfstin, axiom, (cartprodfstin<=>![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>in @ (kfst @ X18) @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodfstin)). 59.42/60.07 thf(setukpairinjL2, axiom, (setukpairinjL2<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset))=>(X2)=(X14))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairinjL2)). 59.42/60.07 thf(setukpairinjL, axiom, (setukpairinjL<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((kpair @ X2 @ X3)=(kpair @ X14 @ X18)=>(X2)=(X14))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairinjL)). 59.42/60.07 thf(setukpairinjR11, axiom, (setukpairinjR11<=>![X2:$i, X3:$i]:((X2)=(X3)=>(setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairinjR11)). 59.42/60.07 thf(setukpairinjR12, axiom, (setukpairinjR12<=>![X2:$i, X3:$i]:((X2)=(X3)=>(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairinjR12)). 59.42/60.07 thf(setukpairinjR1, axiom, (setukpairinjR1<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset))=>((X14)=(X18)=>(X3)=(X18)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairinjR1)). 59.42/60.07 thf(upairequniteq, axiom, (upairequniteq<=>![X2:$i, X3:$i, X14:$i]:((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairequniteq)). 59.42/60.07 thf(c_0_175, axiom, (ex1)=(^[X4:$i, X1:$i > $o]:?[X522:$i]:(in @ X522 @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))&(dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))=(setadjoin @ X522 @ emptyset))), inference(apply_def,[status(thm)],[ex1, singleton])). 59.42/60.07 thf(c_0_176, axiom, (replAx)=(![X6:$i > $i > $o, X4:$i]:(![X2:$i]:(in @ X2 @ X4=>?[X486:$i]:(X6 @ X2 @ X486&![X488:$i]:(X6 @ X2 @ X488=>(X486)=(X488))))=>?[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))), inference(apply_def,[status(thm)],[replAx, exu])). 59.42/60.07 thf(c_0_177, axiom, (descrp)=(![X1:$i > $o]:(?[X489:$i]:(X1 @ X489&![X490:$i]:(X1 @ X490=>(X489)=(X490)))=>X1 @ (descr @ (^[X2:$i]:X1 @ X2)))), inference(apply_def,[status(thm)],[descrp, exu])). 59.42/60.07 thf(c_0_178, axiom, (exuE1)=(![X1:$i > $o]:(?[X491:$i]:(X1 @ X491&![X492:$i]:(X1 @ X492=>(X491)=(X492)))=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuE1, exu])). 59.42/60.07 thf(c_0_179, axiom, (exuE3e)=(![X1:$i > $o]:(?[X493:$i]:(X1 @ X493&![X494:$i]:(X1 @ X494=>(X493)=(X494)))=>?[X2:$i]:X1 @ X2)), inference(apply_def,[status(thm)],[exuE3e, exu])). 59.42/60.07 thf(c_0_180, axiom, (nonemptyE1)=(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:in @ X2 @ X4)), inference(apply_def,[status(thm)],[nonemptyE1, nonempty])). 59.42/60.07 thf(c_0_181, axiom, (nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))!=(emptyset)))), inference(apply_def,[status(thm)],[nonemptyI, nonempty])). 59.42/60.07 thf(c_0_182, axiom, (nonemptyI1)=(![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>(X4)!=(emptyset))), inference(apply_def,[status(thm)],[nonemptyI1, nonempty])). 59.42/60.07 thf(c_0_183, axiom, (exuE2)=(![X1:$i > $o]:(?[X495:$i]:(X1 @ X495&![X496:$i]:(X1 @ X496=>(X495)=(X496)))=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))), inference(apply_def,[status(thm)],[exuE2, exu])). 59.42/60.07 thf(c_0_184, axiom, (nonemptyImpWitness)=(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:(in @ X2 @ X4&$true))), inference(apply_def,[status(thm)],[nonemptyImpWitness, nonempty])). 59.42/60.07 thf(c_0_185, axiom, (exuI1)=(![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>?[X497:$i]:(X1 @ X497&![X498:$i]:(X1 @ X498=>(X497)=(X498))))), inference(apply_def,[status(thm)],[exuI1, exu])). 59.42/60.07 thf(c_0_186, axiom, (exuI3)=(![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>?[X499:$i]:(X1 @ X499&![X500:$i]:(X1 @ X500=>(X499)=(X500)))))), inference(apply_def,[status(thm)],[exuI3, exu])). 59.42/60.07 thf(c_0_187, axiom, (exuI2)=(![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>?[X501:$i]:(X1 @ X501&![X502:$i]:(X1 @ X502=>(X501)=(X502))))), inference(apply_def,[status(thm)],[exuI2, exu])). 59.42/60.07 thf(c_0_188, axiom, (exuE3u)=(![X1:$i > $o]:(?[X503:$i]:(X1 @ X503&![X504:$i]:(X1 @ X504=>(X503)=(X504)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuE3u, exu])). 59.42/60.07 thf(c_0_189, axiom, (exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X505:$i]:(X1 @ X505&![X506:$i]:(X1 @ X506=>(X505)=(X506)))<=>?[X507:$i]:(X17 @ X507&![X508:$i]:(X17 @ X508=>(X507)=(X508)))))), inference(apply_def,[status(thm)],[exu__Cong, exu])). 59.42/60.07 thf(c_0_190, axiom, (exuEu)=(![X1:$i > $o]:(?[X509:$i]:(X1 @ X509&![X510:$i]:(X1 @ X510=>(X509)=(X510)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuEu, exu])). 59.42/60.07 thf(c_0_191, axiom, (descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X511:$i]:(X1 @ X511&![X512:$i]:(X1 @ X512=>(X511)=(X512)))=>(?[X513:$i]:(X17 @ X513&![X514:$i]:(X17 @ X514=>(X513)=(X514)))=>(descr @ (^[X2:$i]:X1 @ X2))=(descr @ (^[X2:$i]:X17 @ X2)))))), inference(apply_def,[status(thm)],[descr__Cong, exu])). 59.42/60.07 thf(c_0_192, axiom, (kpairiskpair)=(![X2:$i, X3:$i]:?[X515:$i]:(in @ X515 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))&?[X516:$i]:(in @ X516 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))&(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X515 @ emptyset) @ (setadjoin @ (setadjoin @ X515 @ (setadjoin @ X516 @ emptyset)) @ emptyset))))), inference(apply_def,[status(thm)],[kpairiskpair, iskpair])). 59.42/60.07 thf(c_0_193, axiom, (kpairp)=(![X2:$i, X3:$i]:?[X517:$i]:(in @ X517 @ (setunion @ (kpair @ X2 @ X3))&?[X518:$i]:(in @ X518 @ (setunion @ (kpair @ X2 @ X3))&(kpair @ X2 @ X3)=(setadjoin @ (setadjoin @ X517 @ emptyset) @ (setadjoin @ (setadjoin @ X517 @ (setadjoin @ X518 @ emptyset)) @ emptyset))))), inference(apply_def,[status(thm)],[kpairp, iskpair])). 59.42/60.07 thf(c_0_194, axiom, (cartprodmempair)=(![X4:$i, X5:$i, X18:$i]:(in @ X18 @ (cartprod @ X4 @ X5)=>?[X519:$i]:(in @ X519 @ (setunion @ X18)&?[X520:$i]:(in @ X520 @ (setunion @ X18)&(X18)=(setadjoin @ (setadjoin @ X519 @ emptyset) @ (setadjoin @ (setadjoin @ X519 @ (setadjoin @ X520 @ emptyset)) @ emptyset)))))), inference(apply_def,[status(thm)],[cartprodmempair, iskpair])). 59.42/60.07 thf(c_0_195, 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)=>?[X521:$i]:(in @ X521 @ (dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))&(dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))=(setadjoin @ X521 @ emptyset))))), inference(apply_def,[status(thm)],[singletonprop, singleton])). 59.42/60.07 thf(c_0_196, axiom, (ex1E1)=(![X4:$i, X1:$i > $o]:(?[X523:$i]:(in @ X523 @ (dsetconstr @ X4 @ (^[X524:$i]:X1 @ X524))&(dsetconstr @ X4 @ (^[X525:$i]:X1 @ X525))=(setadjoin @ X523 @ emptyset))=>?[X2:$i]:(in @ X2 @ X4&X1 @ X2))), inference(apply_def,[status(thm)],[ex1E1, c_0_175])). 59.42/60.07 thf(c_0_197, axiom, (ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(![X3:$i]:(in @ X3 @ X4=>(X1 @ X3=>(X3)=(X2)))=>?[X526:$i]:(in @ X526 @ (dsetconstr @ X4 @ (^[X527:$i]:X1 @ X527))&(dsetconstr @ X4 @ (^[X529:$i]:X1 @ X529))=(setadjoin @ X526 @ emptyset)))))), inference(apply_def,[status(thm)],[ex1I, c_0_175])). 59.42/60.07 thf(c_0_198, 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)=>?[X531:$i]:(in @ X531 @ (dsetconstr @ X4 @ (^[X532:$i]:X1 @ X532))&(dsetconstr @ X4 @ (^[X533:$i]:X1 @ X533))=(setadjoin @ X531 @ emptyset))))), inference(apply_def,[status(thm)],[ex1I2, c_0_175])). 59.42/60.07 thf(c_0_199, axiom, (kfstsingleton)=(![X18:$i]:(?[X534:$i]:(in @ X534 @ (setunion @ X18)&?[X535:$i]:(in @ X535 @ (setunion @ X18)&(X18)=(setadjoin @ (setadjoin @ X534 @ emptyset) @ (setadjoin @ (setadjoin @ X534 @ (setadjoin @ X535 @ emptyset)) @ emptyset))))=>?[X536:$i]:(in @ X536 @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:in @ (setadjoin @ X2 @ emptyset) @ X18))&(dsetconstr @ (setunion @ X18) @ (^[X2:$i]:in @ (setadjoin @ X2 @ emptyset) @ X18))=(setadjoin @ X536 @ emptyset)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[kfstsingleton, iskpair]), singleton])). 59.42/60.07 thf(c_0_200, axiom, (theprop)=(![X21:$i]:(?[X537:$i]:(in @ X537 @ X21&(X21)=(setadjoin @ X537 @ emptyset))=>in @ (setunion @ X21) @ X21)), inference(apply_def,[status(thm)],[theprop, singleton])). 59.42/60.07 thf(c_0_201, plain, ![X2:$i, X1:$i > $o]:(epred1_2 @ X1 @ X2<=>X1 @ X2), introduced(definition)). 59.42/60.07 thf(c_0_202, plain, ![X2:$i, X18:$i]:(epred3_2 @ X18 @ X2<=>in @ (setadjoin @ X2 @ emptyset) @ X18), introduced(definition)). 59.42/60.07 thf(c_0_203, plain, ![X2:$i]:epred2_1 @ X2, inference(fof_simplification,[status(thm)],[introduced(definition)])). 59.42/60.07 thf(c_0_204, 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:$i]:(in @ X3 @ X9=>in @ X3 @ X8)|in @ X2 @ X9)))))), introduced(definition)). 59.42/60.07 thf(c_0_205, negated_conjecture, ~((![X4:$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:$i]:(in @ X2 @ X4=>?[X486:$i]:(X6 @ X2 @ X486&![X488:$i]:(X6 @ X2 @ X488=>(X486)=(X488))))=>?[X5:$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 > $o]:(?[X489:$i]:(X1 @ X489&![X490:$i]:(X1 @ X490=>(X489)=(X490)))=>X1 @ (descr @ (epred1_2 @ X1)))=>(![X4:$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 > $o]:(?[X491:$i]:(X1 @ X491&![X492:$i]:(X1 @ X492=>(X491)=(X492)))=>?[X2:$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 > $o]:(?[X493:$i]:(X1 @ X493&![X494:$i]:(X1 @ X494=>(X493)=(X494)))=>?[X2:$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 > $o]:(?[X495:$i]:(X1 @ X495&![X496:$i]:(X1 @ X496=>(X495)=(X496)))=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))=>(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:in @ X2 @ X4)=>(![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>(X2)=(X3))=>(![X2:$i, X3:$i]:((X2)!=(X3)=>~in @ X3 @ (setadjoin @ X2 @ emptyset))=>(![X2:$i, X3:$i]:((X2)=(X3)=>in @ X2 @ (setadjoin @ X3 @ emptyset))=>(![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>in @ X3 @ (setadjoin @ X2 @ emptyset))=>(![X2:$i, X3:$i, X14:$i]:(in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>((X14)=(X2)|(X14)=(X3)))=>(![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>(![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>(![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>(dsetconstr @ X4 @ (epred1_2 @ X1))!=(emptyset))=>(![X1:$i > $o, X2:$i]:(in @ X2 @ emptyset=>X1 @ X2)=>(![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~X1 @ X2))=>(![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>~X1 @ X2)=>~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)))=>(![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~X1 @ X2))=>(![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&~X1 @ X2)=>~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2)))=>(![X15:$o]:(X15=>((~X15|in @ emptyset @ (prop2set @ $true))&(X15|in @ emptyset @ (prop2set @ $false))))=>(![X16:$o]:(X16=>((~X16|set2prop @ (prop2set @ $true))&(X16|set2prop @ (prop2set @ $false))))=>(![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~X1 @ X2))=>(![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~X1 @ X2))=>(![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>?[X497:$i]:(X1 @ X497&![X498:$i]:(X1 @ X498=>(X497)=(X498))))=>(![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>?[X499:$i]:(X1 @ X499&![X500:$i]:(X1 @ X500=>(X499)=(X500)))))=>(![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>?[X501:$i]:(X1 @ X501&![X502:$i]:(X1 @ X502=>(X501)=(X502))))=>(![X4:$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 > $o]:(?[X503:$i]:(X1 @ X503&![X504:$i]:(X1 @ X504=>(X503)=(X504)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))=>(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X505:$i]:(X1 @ X505&![X506:$i]:(X1 @ X506=>(X505)=(X506)))<=>?[X507:$i]:(X17 @ X507&![X508:$i]:(X17 @ X508=>(X507)=(X508)))))=>((emptyset)=(emptyset)=>(![X2:$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 > $o]:(?[X509:$i]:(X1 @ X509&![X510:$i]:(X1 @ X510=>(X509)=(X510)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))=>(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X511:$i]:(X1 @ X511&![X512:$i]:(X1 @ X512=>(X511)=(X512)))=>(?[X513:$i]:(X17 @ X513&![X514:$i]:(X17 @ X514=>(X513)=(X514)))=>(descr @ (epred1_2 @ X1))=(descr @ (epred1_2 @ X17)))))=>(![X4:$i, X5:$i]:((X4)=(X5)=>![X1:$i > $o, X17:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))))=>(dsetconstr @ X4 @ (epred1_2 @ X1))=(dsetconstr @ X5 @ (epred1_2 @ X17))))=>(![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)=>(![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X5 @ X4)=>(![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X4 @ X5)=>(![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)=>(![X4:$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 > $o]:in @ (dsetconstr @ X4 @ (epred1_2 @ X1)) @ (powerset @ X4)=>(![X4:$i, X1:$i > $o]:subset @ (dsetconstr @ X4 @ (epred1_2 @ X1)) @ X4=>(![X4:$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 @ 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setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_176]), foundationAx]), wellorderingAx]), c_0_177]), dsetconstrI]), dsetconstrEL]), dsetconstrER]), c_0_178]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_179]), setext]), emptyI]), noeltsimpempty]), setbeta]), c_0_180]), c_0_181]), c_0_182]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), setoftrueEq]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_183]), c_0_184]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), emptyE1]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_185]), c_0_186]), c_0_187]), inCongP]), in__Cong]), c_0_188]), c_0_189]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_190]), c_0_191]), 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_192]), c_0_193]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1]), ubforcartprodlem2]), ubforcartprodlem3]), cartprodpairin]), cartprodmempair1]), c_0_194]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_195]), c_0_196]), c_0_197]), c_0_198]), singletonsuniq]), setukpairinjL1]), c_0_199]), c_0_200]), kfstpairEq]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR11]), setukpairinjR12]), setukpairinjR1]), upairequniteq]), c_0_201]), c_0_201]), c_0_201]), c_0_201]), c_0_201]), c_0_201]), c_0_201]), c_0_201]), c_0_202]), c_0_202]), c_0_201]), c_0_201]), c_0_201]), c_0_201]), c_0_201]), c_0_201]), c_0_201]), c_0_201]), c_0_201]), c_0_201]), c_0_203]), c_0_201]), c_0_201]), c_0_201])])]), c_0_204])). 59.42/60.07 thf(c_0_206, negated_conjecture, ![X540:$i, X541:$i, X543:$i, X544:$i, X545:$i, X546:$i, X547:$i, X548:$i, X549:$i, X550:$i, X551:$i, X553:$i, X554:$i, X556:$i, X557:$i, X558:$i, X559:$i, X560:$i, X562:$i, X563:$i > $i > $o, X564:$i, X566:$i, X569:$i, X571:$i, X572:$i, X573:$i, X574:$i, X576:$i, X577:$i > $o, X578:$i, X580:$i, X581:$i > $o, X582:$i, X583:$i, X584:$i > $o, X585:$i, X586:$i, X587:$i > $o, X588:$i, X589:$i > $o, X590:$i, X593:$i, X594:$o, X595:$i, X596:$i, X597:$o, X598:$i, X599:$i, X600:$i > $o, X601:$i, X604:$i, X605:$i, X608:$i, X610:$i, X612:$i, X613:$i > $o, X614:$i, X615:$i, X617:$i, X618:$i > $o, X619:$i, X620:$i, X621:$i, X622:$i, X623:$i, X624:$i, X625:$i, X626:$i, X627:$i, X628:$i, X629:$i, X630:$o, X631:$i, X632:$i, X633:$i, X634:$i, X635:$i, X636:$i, X638:$i, X639:$i, X640:$i, X641:$i, X642:$i, X643:$i, X644:$i, X645:$i, X646:$i, X647:$i, X648:$o, X650:$i, X651:$i, X652:$i > $o, X653:$i, X656:$i, X657:$i, X658:$i, X660:$i, X661:$i, X662:$i, X663:$i, X664:$i, X665:$i, X666:$i, X667:$i, X668:$i, X669:$i, X670:$i, X671:$i, X672:$i, X673:$i, X674:$i, X675:$i, X676:$i > $o, X677:$i, X678:$i > $o, X679:$i, X680:$i, X681:$i > $o, X682:$i, X684:$i, X685:$i > $o, X687:$i, X688:$i, X689:$i > $o, X691:$i, X692:$i, X693:$i > $o, X694:$i, X696:$o, X697:$o, X698:$i, X699:$i > $o, X701:$i, X702:$i, X703:$i > $o, X704:$i, X706:$i > $o, X707:$i, X710:$i, X711:$i > $o, X712:$i, X716:$i, X717:$i > $o, X718:$i, X721:$i, X722:$i, X723:$i, X724:$i, X725:$i, X726:$i, X727:$i, X728:$i, X729:$i, X730:$i > $o, X731:$i, X733:$i, X734:$i, X735:$i > $o, X736:$i > $o, X739:$i, X742:$i, X743:$i, X746:$i, X747:$i, X748:$i, X749:$i, X750:$i, X751:$i, X752:$i, X753:$i, X754:$i, X755:$i > $o, X756:$i, X758:$i, X759:$i, X760:$i > $o, X761:$i > $o, X764:$i, X766:$i, X768:$i, X769:$i, X770:$i > $o, X771:$i > $o, X774:$i, X775:$i, X777:$i, X778:$i, X779:$i, X780:$i, X781:$i, X782:$i, X784:$i, X785:$i, X786:$i, X787:$i, X788:$i, X789:$i, X790:$i, 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, X811:$i, X812:$i, X813:$i, X814:$i, X815:$i, X816:$i, X817:$i, X818:$i, X819:$i, X820:$i, X821:$i > $o, X822:$i, X823:$i > $o, X824:$i, X825:$i, X826:$i, X827:$i, X828:$i, X829:$i, X830:$i, X831:$i, X832:$i, X833:$i, X834:$i, X835:$o, X836:$i, X837:$i, X838:$i, X839:$i, X840:$i, X841:$i, X842:$i, X843:$i, X844:$i, X845:$i, X846:$i, X847:$i, X848:$i, X849:$i, X850:$i, X851:$i, X852:$i, X853:$i, X854:$i, X855:$i, X856:$i, X857:$i, X858:$i, X859:$i, X860:$i, X861:$i, X862:$i, X864:$i, X865:$i, X866:$i, X867:$i, X868:$i, X869:$i, X870:$i, X871:$i, X872:$i, X873:$i, X874:$i, X875:$i, X876:$i, X877:$i, X878:$i, X879:$i, X880:$i, X881:$i, X882:$i, X883:$i, X884:$i, X885:$i, X886:$i, X887:$i, X888:$i, X889:$i, X890:$i, X891:$i, X892:$i, X893:$i, X894:$i, X895:$i, X896:$i, X897:$i, X898:$i, X899:$i, X900:$i, X901:$i, X902:$i, X903:$o, X904:$i, X905:$i, X906:$i, X907:$i, X908:$i, X909:$i, X910:$i, X911:$i, X912:$i, X913:$i, X914:$i, X915:$i, X916:$i, X917:$i, X918:$i, X919:$i, X920:$i, X921:$i, X922:$i, X923:$i, X926:$i, X927:$i, X930:$i, X931:$i, X932:$i, X933:$i, X934:$i, X935:$i, X936:$i, X937:$i, X938:$i, X939:$i, X940:$i, X941:$i, X942:$i, X943:$i, X944:$i, X945:$i, X946:$i, X947:$i, X948:$i, X949:$i, X950:$i, X951:$i, X952:$i, X953:$i, X954:$i, X955:$i, X956:$i, X957:$i, X958:$i, X959:$i, X960:$i, X961:$i, X962:$i, X963:$i, X964:$i, X965:$i, X966:$i, X969:$i, X970:$i, X971:$i, X974:$i, X975:$i, X977:$i, X978:$i, X979:$i, X980:$i, X981:$i > $o, X984:$i, X986:$i, X987:$i > $o, X988:$i, X990:$i, X991:$i > $o, X992:$i, X995:$i, X996:$i > $o, X999:$i, X1001:$i, X1002:$i, X1003:$i, X1004:$i, X1005:$i, X1006:$i, X1007:$i, X1008:$i, X1010:$i, X1011:$i, X1012:$i, X1013:$i, X1014:$i, X1015:$i, X1016:$i, X1017:$i, X1018:$i, X1019:$i, X1020:$i, X1021:$i, X1022:$i, X1023:$i, X1024:$i, X1025:$i, X1026:$i, X1027:$i, X1028:$i, X1029:$i, X1030:$i, X1031:$i, X1032:$i, X1033:$i, X1034:$i, X1035:$i]:(((~in @ (esk1_2 @ X540 @ X541) @ X540|~in @ (esk1_2 @ X540 @ X541) @ X541|(X540)=(X541))&(in @ (esk1_2 @ X540 @ X541) @ X540|in @ (esk1_2 @ X540 @ X541) @ X541|(X540)=(X541)))&(~in @ X543 @ emptyset&(((~in @ X546 @ (setadjoin @ X544 @ X545)|((X546)=(X544)|in @ X546 @ X545))&(((X546)!=(X544)|in @ X546 @ (setadjoin @ X544 @ X545))&(~in @ X546 @ X545|in @ X546 @ (setadjoin @ X544 @ X545))))&(((~in @ X548 @ (powerset @ X547)|(~in @ X549 @ X548|in @ X549 @ X547))&((in @ (esk2_2 @ X550 @ X551) @ X551|in @ X551 @ (powerset @ X550))&(~in @ (esk2_2 @ X550 @ X551) @ X550|in @ X551 @ (powerset @ X550))))&((((in @ X554 @ (esk3_2 @ X553 @ X554)|~in @ X554 @ (setunion @ X553))&(in @ (esk3_2 @ X553 @ X554) @ X553|~in @ X554 @ (setunion @ X553)))&(~in @ X557 @ X558|~in @ X558 @ X556|in @ X557 @ (setunion @ X556)))&(in @ emptyset @ omega&((~in @ X559 @ omega|in @ (setadjoin @ X559 @ X559) @ omega)&((((in @ (esk4_1 @ X560) @ omega|~in @ emptyset @ X560|(~in @ X562 @ omega|in @ X562 @ X560))&(in @ (esk4_1 @ X560) @ X560|~in @ emptyset @ X560|(~in @ X562 @ omega|in @ X562 @ X560)))&(~in @ (setadjoin @ (esk4_1 @ X560) @ (esk4_1 @ X560)) @ X560|~in @ emptyset @ X560|(~in @ X562 @ omega|in @ X562 @ X560)))&(((((in @ (esk8_3 @ X563 @ X564 @ X569) @ X564|~in @ X569 @ (esk7_2 @ X563 @ X564)|in @ (esk5_2 @ X563 @ X564) @ X564)&(X563 @ (esk8_3 @ X563 @ X564 @ X569) @ X569|~in @ X569 @ (esk7_2 @ X563 @ X564)|in @ (esk5_2 @ X563 @ X564) @ X564))&(~in @ X572 @ X564|~X563 @ X572 @ X571|in @ X571 @ (esk7_2 @ X563 @ X564)|in @ (esk5_2 @ X563 @ X564) @ X564))&((((in @ (esk8_3 @ X563 @ X564 @ X569) @ X564|~in @ X569 @ (esk7_2 @ X563 @ X564)|(X563 @ (esk5_2 @ X563 @ X564) @ (esk6_3 @ X563 @ X564 @ X566)|~X563 @ (esk5_2 @ X563 @ X564) @ X566))&(X563 @ (esk8_3 @ X563 @ X564 @ X569) @ X569|~in @ X569 @ (esk7_2 @ X563 @ X564)|(X563 @ (esk5_2 @ X563 @ X564) @ (esk6_3 @ X563 @ X564 @ X566)|~X563 @ (esk5_2 @ X563 @ X564) @ X566)))&(~in @ X572 @ X564|~X563 @ X572 @ X571|in @ X571 @ (esk7_2 @ X563 @ X564)|(X563 @ (esk5_2 @ X563 @ X564) @ (esk6_3 @ X563 @ X564 @ X566)|~X563 @ (esk5_2 @ X563 @ X564) @ X566)))&(((in @ (esk8_3 @ X563 @ X564 @ X569) @ X564|~in @ X569 @ (esk7_2 @ X563 @ X564)|((X566)!=(esk6_3 @ X563 @ X564 @ X566)|~X563 @ (esk5_2 @ X563 @ X564) @ X566))&(X563 @ (esk8_3 @ X563 @ X564 @ X569) @ X569|~in @ X569 @ (esk7_2 @ X563 @ X564)|((X566)!=(esk6_3 @ X563 @ X564 @ X566)|~X563 @ (esk5_2 @ X563 @ X564) @ X566)))&(~in @ X572 @ X564|~X563 @ X572 @ X571|in @ X571 @ (esk7_2 @ X563 @ X564)|((X566)!=(esk6_3 @ X563 @ X564 @ X566)|~X563 @ (esk5_2 @ X563 @ X564) @ X566)))))&(((in @ (esk9_1 @ X573) @ X573|~in @ X574 @ X573)&(~in @ X576 @ (esk9_1 @ X573)|~in @ X576 @ X573|~in @ X574 @ X573))&(epred4_0&(((X577 @ (esk10_2 @ X577 @ X578)|~X577 @ X578|X577 @ (descr @ (epred1_2 @ X577)))&((X578)!=(esk10_2 @ X577 @ X578)|~X577 @ X578|X577 @ (descr @ (epred1_2 @ X577))))&((~in @ X582 @ X580|(~X581 @ X582|in @ X582 @ (dsetconstr @ X580 @ (epred1_2 @ X581))))&((~in @ X585 @ (dsetconstr @ X583 @ (epred1_2 @ X584))|in @ X585 @ X583)&((~in @ X588 @ (dsetconstr @ X586 @ (epred1_2 @ X587))|X587 @ X588)&((((X589 @ (esk12_1 @ X589)|(X589 @ (esk11_2 @ X589 @ X590)|~X589 @ X590))&(~X589 @ X593|(esk12_1 @ X589)=(X593)|(X589 @ (esk11_2 @ X589 @ X590)|~X589 @ X590)))&((X589 @ (esk12_1 @ X589)|((X590)!=(esk11_2 @ X589 @ X590)|~X589 @ X590))&(~X589 @ X593|(esk12_1 @ X589)=(X593)|((X590)!=(esk11_2 @ X589 @ X590)|~X589 @ X590))))&((((~X594|X594|X594)&(~in @ X595 @ (prop2set @ $false)|X594|X594))&((~X594|~in @ X595 @ (prop2set @ $true)|X594)&(~in @ X595 @ (prop2set @ $false)|~in @ X595 @ (prop2set @ $true)|X594)))&((~in @ X596 @ emptyset|X597)&(~in @ X598 @ emptyset&(~in @ X599 @ emptyset&(((X600 @ (esk13_2 @ X600 @ X601)|~X600 @ X601|X600 @ (esk14_1 @ X600))&((X601)!=(esk13_2 @ X600 @ X601)|~X600 @ X601|X600 @ (esk14_1 @ X600)))&((((in @ (esk16_2 @ X604 @ X605) @ X605|(X604)=(X605)|in @ (esk15_2 @ X604 @ X605) @ X604)&(~in @ (esk16_2 @ X604 @ X605) @ X604|(X604)=(X605)|in @ (esk15_2 @ X604 @ X605) @ X604))&((in @ 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X760 @ X761)|X761 @ (esk47_2 @ X760 @ X761)))&((X766)!=(esk49_3 @ X760 @ X761 @ X766)|~X761 @ X766|(descr @ (epred1_2 @ X760))=(descr @ (epred1_2 @ X761))|((X764)!=(esk48_3 @ X760 @ X761 @ X764)|~X760 @ X764)|(X760 @ (esk46_2 @ X760 @ X761)|X761 @ (esk47_2 @ X760 @ X761)))))))&(((in @ (esk50_4 @ X768 @ X769 @ X770 @ X771) @ X768|(dsetconstr @ X768 @ (epred1_2 @ X770))=(dsetconstr @ X769 @ (epred1_2 @ X771))|(X768)!=(X769))&((in @ (esk51_4 @ X768 @ X769 @ X770 @ X771) @ X769|(dsetconstr @ X768 @ (epred1_2 @ X770))=(dsetconstr @ X769 @ (epred1_2 @ X771))|(X768)!=(X769))&(((esk50_4 @ X768 @ X769 @ X770 @ X771)=(esk51_4 @ X768 @ X769 @ X770 @ X771)|(dsetconstr @ X768 @ (epred1_2 @ X770))=(dsetconstr @ X769 @ (epred1_2 @ X771))|(X768)!=(X769))&((~X770 @ (esk50_4 @ X768 @ X769 @ X770 @ X771)|~X771 @ (esk51_4 @ X768 @ X769 @ X770 @ X771)|(dsetconstr @ X768 @ (epred1_2 @ X770))=(dsetconstr @ X769 @ (epred1_2 @ X771))|(X768)!=(X769))&(X770 @ (esk50_4 @ X768 @ X769 @ X770 @ X771)|X771 @ (esk51_4 @ X768 @ X769 @ X770 @ X771)|(dsetconstr @ X768 @ (epred1_2 @ X770))=(dsetconstr @ X769 @ (epred1_2 @ X771))|(X768)!=(X769))))))&(((in @ (esk52_2 @ X774 @ X775) @ X774|subset @ X774 @ X775)&(~in @ (esk52_2 @ X774 @ X775) @ X775|subset @ X774 @ X775))&(((X777)!=(X778)|subset @ X778 @ X777)&(((X779)!=(X780)|subset @ X779 @ X780)&(((in @ (esk53_2 @ X781 @ X782) @ X781|subset @ X781 @ X782)&(~in @ (esk53_2 @ X781 @ X782) @ X782|subset @ X781 @ X782))&(subset @ emptyset @ X784&((~subset @ X785 @ X786|(~in @ X787 @ X785|in @ X787 @ X786))&((~subset @ X788 @ X789|(in @ X790 @ X789|~in @ X790 @ X788))&((~in @ X793 @ X791|(in @ X793 @ X792|~subset @ X791 @ X792))&((subset @ X794 @ X795|(X794)!=(X795))&((~in @ X798 @ X796|(in @ X798 @ X797|(X796)!=(X797)))&(subset @ X799 @ X799&((~subset @ X800 @ X801|(~subset @ X801 @ X802|subset @ X800 @ X802))&(subset @ X804 @ (setadjoin @ X803 @ X804)&((~subset @ X805 @ X807|subset @ X805 @ (setadjoin @ X806 @ X807))&((~subset @ X808 @ X809|in @ X808 @ (powerset @ X809))&((~subset @ X810 @ X811|(~subset @ X811 @ X810|(X810)=(X811)))&((~subset @ X812 @ emptyset|(X812)=(emptyset))&((~subset @ X814 @ X813|in @ X814 @ (powerset @ X813))&((~in @ X816 @ (powerset @ X815)|subset @ X816 @ X815)&(in @ X817 @ (powerset @ X817)&((~subset @ X818 @ X819|subset @ (powerset @ X818) @ (powerset @ X819))&(in @ (dsetconstr @ X820 @ (epred1_2 @ X821)) @ (powerset @ X820)&(subset @ (dsetconstr @ X822 @ (epred1_2 @ X823)) @ X822&((~in @ X826 @ X824|in @ X826 @ (binunion @ X824 @ X825))&(in @ X828 @ (setadjoin @ X827 @ (setadjoin @ X828 @ emptyset))&((~in @ X831 @ X830|in @ X831 @ (binunion @ X829 @ X830))&((((in @ X834 @ X833|X835|in @ X834 @ X832|~in @ X834 @ (binunion @ X832 @ X833))&(~X835|X835|in @ X834 @ X832|~in @ X834 @ (binunion @ X832 @ X833)))&((in @ X834 @ X833|X835|~X835|~in @ X834 @ (binunion @ X832 @ X833))&(~X835|X835|~X835|~in @ X834 @ (binunion @ X832 @ X833))))&((~in @ X838 @ (binunion @ X836 @ X837)|(in @ X838 @ X836|in @ X838 @ X837))&(subset @ X839 @ (binunion @ X839 @ X840)&(subset @ X842 @ (binunion @ X841 @ X842)&((~in @ X845 @ X843|(~in @ X845 @ X844|in @ X845 @ (binintersect @ X843 @ X844)))&((~subset @ X848 @ X846|(~subset @ X848 @ X847|subset @ X848 @ (binintersect @ X846 @ X847)))&((~in @ X851 @ (binintersect @ X849 @ X850)|in @ X851 @ X849)&(subset @ (binintersect @ X852 @ X853) @ X852&((~subset @ X854 @ X855|(binintersect @ X854 @ X855)=(X854))&(((binintersect @ X856 @ X857)!=(X857)|subset @ X857 @ X856)&((~in @ X860 @ (binintersect @ X858 @ X859)|in @ X860 @ X859)&(((in @ (esk54_2 @ X861 @ X862) @ X861|(binintersect @ X861 @ X862)=(emptyset))&(in @ (esk54_2 @ X861 @ X862) @ X862|(binintersect @ X861 @ X862)=(emptyset)))&(subset @ (binintersect @ X864 @ X865) @ X865&((~subset @ X867 @ X866|(binintersect @ X866 @ X867)=(X867))&(((binintersect @ X868 @ X869)!=(X868)|subset @ X868 @ X869)&((binintersect @ X870 @ (binunion @ X871 @ X872))=(binunion @ (binintersect @ X870 @ X871) @ (binintersect @ X870 @ X872))&((~in @ X875 @ X873|(in @ X875 @ X874|in @ X875 @ (setminus @ X873 @ X874)))&((~in @ X878 @ (setminus @ X876 @ X877)|in @ X878 @ X876)&((~in @ X881 @ (setminus @ X879 @ X880)|~in @ X881 @ X880)&((~subset @ X882 @ X883|(setminus @ X882 @ X883)=(emptyset))&((in @ X886 @ (setminus @ X884 @ X885)|(~in @ X886 @ X884|in @ X886 @ X885))&((in @ X889 @ (setminus @ X887 @ X888)|(in @ X889 @ X888|~in @ X889 @ X887))&((in @ X892 @ X890|~in @ X892 @ (setminus @ X890 @ X891))&((~in @ X895 @ X894|~in @ X895 @ (setminus @ X893 @ X894))&(subset @ (setminus @ X896 @ X897) @ X896&(((setminus @ X898 @ X899)!=(emptyset)|subset @ X898 @ X899)&((((~in @ X902 @ X900|X903|in @ X902 @ X900|~in @ X902 @ (symdiff @ X900 @ X901))&((in @ X902 @ X901|X903|in @ X902 @ X900|~in @ X902 @ (symdiff @ X900 @ X901))&(~X903|X903|in @ X902 @ X900|~in @ X902 @ (symdiff @ X900 @ X901))))&(((~in @ X902 @ X900|X903|~in @ X902 @ X901|~in @ X902 @ (symdiff @ X900 @ X901))&((in @ X902 @ X901|X903|~in @ X902 @ X901|~in @ X902 @ (symdiff @ X900 @ X901))&(~X903|X903|~in @ X902 @ X901|~in @ X902 @ (symdiff @ X900 @ X901))))&((~in @ X902 @ X900|X903|~X903|~in @ X902 @ (symdiff @ X900 @ X901))&((in @ X902 @ X901|X903|~X903|~in @ X902 @ (symdiff @ X900 @ X901))&(~X903|X903|~X903|~in @ X902 @ (symdiff @ X900 @ X901))))))&((~in @ X906 @ X904|(in @ X906 @ X905|in @ X906 @ (symdiff @ X904 @ X905)))&((in @ X909 @ X907|(~in @ X909 @ X908|in @ X909 @ (symdiff @ X907 @ X908)))&((~in @ X912 @ X910|(~in @ X912 @ X911|~in @ X912 @ (symdiff @ X910 @ X911)))&((in @ X915 @ X913|(in @ X915 @ X914|~in @ X915 @ (symdiff @ X913 @ X914)))&(in @ X917 @ (setadjoin @ X916 @ (setadjoin @ X917 @ emptyset))&(in @ X918 @ (setunion @ (setadjoin @ (setadjoin @ X918 @ emptyset) @ (setadjoin @ (setadjoin @ X918 @ (setadjoin @ X919 @ emptyset)) @ emptyset)))&(in @ X921 @ (setunion @ (setadjoin @ (setadjoin @ X920 @ emptyset) @ (setadjoin @ (setadjoin @ X920 @ (setadjoin @ X921 @ emptyset)) @ emptyset)))&((in @ (esk55_2 @ X922 @ X923) @ (setunion @ (setadjoin @ (setadjoin @ X922 @ emptyset) @ (setadjoin @ (setadjoin @ X922 @ (setadjoin @ X923 @ emptyset)) @ emptyset)))&(in @ (esk56_2 @ X922 @ X923) @ (setunion @ (setadjoin @ (setadjoin @ X922 @ emptyset) @ (setadjoin @ (setadjoin @ X922 @ (setadjoin @ X923 @ emptyset)) @ emptyset)))&(setadjoin @ (setadjoin @ X922 @ emptyset) @ (setadjoin @ (setadjoin @ X922 @ (setadjoin @ X923 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ (esk55_2 @ X922 @ X923) @ emptyset) @ (setadjoin @ (setadjoin @ (esk55_2 @ X922 @ X923) @ (setadjoin @ (esk56_2 @ X922 @ X923) @ emptyset)) @ emptyset))))&((in @ (esk57_2 @ X926 @ X927) @ (setunion @ (kpair @ X926 @ X927))&(in @ (esk58_2 @ X926 @ X927) @ (setunion @ (kpair @ X926 @ X927))&(kpair @ X926 @ X927)=(setadjoin @ (setadjoin @ (esk57_2 @ X926 @ X927) @ emptyset) @ (setadjoin @ (setadjoin @ (esk57_2 @ X926 @ X927) @ (setadjoin @ (esk58_2 @ X926 @ X927) @ emptyset)) @ emptyset))))&((~in @ X931 @ X930|subset @ (setadjoin @ X931 @ emptyset) @ X930)&((~in @ X933 @ X932|in @ (setadjoin @ X933 @ emptyset) @ (powerset @ X932))&((~in @ X936 @ X934|in @ (setadjoin @ X936 @ emptyset) @ (powerset @ (binunion @ X934 @ X935)))&((~in @ X939 @ (setadjoin @ X937 @ (setadjoin @ X938 @ emptyset))|((X939)=(X937)|(X939)=(X938)))&((~in @ X942 @ X940|(~in @ X943 @ X941|subset @ (setadjoin @ X942 @ (setadjoin @ X943 @ emptyset)) @ (binunion @ X940 @ X941)))&((~in @ X946 @ X944|(~in @ X947 @ X945|in @ (setadjoin @ X946 @ (setadjoin @ X947 @ emptyset)) @ (powerset @ (binunion @ X944 @ X945))))&((~in @ X950 @ X948|(~in @ X951 @ X949|subset @ (setadjoin @ (setadjoin @ X950 @ emptyset) @ (setadjoin @ (setadjoin @ X950 @ (setadjoin @ X951 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X948 @ X949))))&((~in @ X954 @ X952|(~in @ X955 @ X953|in @ (setadjoin @ (setadjoin @ X954 @ emptyset) @ (setadjoin @ (setadjoin @ X954 @ (setadjoin @ X955 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X952 @ X953)))))&((~in @ X958 @ X956|(~in @ X959 @ X957|in @ (kpair @ X958 @ X959) @ (powerset @ (powerset @ (binunion @ X956 @ X957)))))&((~in @ X962 @ X960|(~in @ X963 @ X961|in @ (kpair @ X962 @ X963) @ (cartprod @ X960 @ X961)))&(((in @ (esk59_3 @ X964 @ X965 @ X966) @ X964|~in @ X966 @ (cartprod @ X964 @ X965))&((in @ (esk60_3 @ X964 @ X965 @ X966) @ X965|~in @ X966 @ (cartprod @ X964 @ X965))&((X966)=(kpair @ (esk59_3 @ X964 @ X965 @ X966) @ (esk60_3 @ X964 @ X965 @ X966))|~in @ X966 @ (cartprod @ X964 @ X965))))&(((in @ (esk61_3 @ X969 @ X970 @ X971) @ (setunion @ X971)|~in @ X971 @ (cartprod @ X969 @ X970))&((in @ (esk62_3 @ X969 @ X970 @ X971) @ (setunion @ X971)|~in @ X971 @ (cartprod @ X969 @ X970))&((X971)=(setadjoin @ (setadjoin @ (esk61_3 @ X969 @ X970 @ X971) @ emptyset) @ (setadjoin @ (setadjoin @ (esk61_3 @ X969 @ X970 @ X971) @ (setadjoin @ (esk62_3 @ X969 @ X970 @ X971) @ emptyset)) @ emptyset))|~in @ X971 @ (cartprod @ X969 @ X970))))&(((in @ (esk63_2 @ X974 @ X975) @ X974|~in @ X975 @ (setunion @ X974))&(in @ X975 @ (esk63_2 @ X974 @ X975)|~in @ X975 @ (setunion @ X974)))&(subset @ (setunion @ (setadjoin @ X977 @ emptyset)) @ X977&(subset @ X978 @ (setunion @ (setadjoin @ X978 @ emptyset))&((setunion @ (setadjoin @ X979 @ emptyset))=(X979)&((((in @ (esk66_2 @ X980 @ X981) @ (dsetconstr @ X980 @ (epred1_2 @ X981))|(~in @ X984 @ X980|~X981 @ X984)|in @ (esk64_2 @ X980 @ X981) @ X980)&((dsetconstr @ X980 @ (epred1_2 @ X981))=(setadjoin @ (esk66_2 @ X980 @ X981) @ emptyset)|(~in @ X984 @ X980|~X981 @ X984)|in @ (esk64_2 @ X980 @ X981) @ X980))&(((in @ (esk66_2 @ X980 @ X981) @ (dsetconstr @ X980 @ (epred1_2 @ X981))|(~in @ X984 @ X980|~X981 @ X984)|in @ (esk65_2 @ X980 @ X981) @ X980)&((dsetconstr @ X980 @ (epred1_2 @ X981))=(setadjoin @ (esk66_2 @ X980 @ X981) @ emptyset)|(~in @ X984 @ X980|~X981 @ X984)|in @ (esk65_2 @ X980 @ X981) @ X980))&(((in @ (esk66_2 @ X980 @ X981) @ (dsetconstr @ X980 @ (epred1_2 @ X981))|(~in @ X984 @ X980|~X981 @ X984)|X981 @ (esk64_2 @ X980 @ X981))&((dsetconstr @ X980 @ (epred1_2 @ X981))=(setadjoin @ (esk66_2 @ X980 @ X981) @ emptyset)|(~in @ X984 @ X980|~X981 @ X984)|X981 @ (esk64_2 @ X980 @ X981)))&(((in @ (esk66_2 @ X980 @ X981) @ (dsetconstr @ X980 @ (epred1_2 @ X981))|(~in @ X984 @ X980|~X981 @ X984)|X981 @ (esk65_2 @ X980 @ X981))&((dsetconstr @ X980 @ (epred1_2 @ X981))=(setadjoin @ (esk66_2 @ X980 @ X981) @ emptyset)|(~in @ X984 @ X980|~X981 @ X984)|X981 @ (esk65_2 @ X980 @ X981)))&((in @ (esk66_2 @ X980 @ X981) @ (dsetconstr @ X980 @ (epred1_2 @ X981))|(~in @ X984 @ X980|~X981 @ X984)|(esk64_2 @ X980 @ X981)!=(esk65_2 @ X980 @ X981))&((dsetconstr @ X980 @ (epred1_2 @ X981))=(setadjoin @ (esk66_2 @ X980 @ X981) @ emptyset)|(~in @ X984 @ X980|~X981 @ X984)|(esk64_2 @ X980 @ X981)!=(esk65_2 @ X980 @ X981)))))))&(((in @ (esk67_2 @ X986 @ X987) @ X986|(~in @ X988 @ (dsetconstr @ X986 @ (epred1_2 @ X987))|(dsetconstr @ X986 @ (epred1_2 @ X987))!=(setadjoin @ X988 @ emptyset)))&(X987 @ (esk67_2 @ X986 @ X987)|(~in @ X988 @ (dsetconstr @ X986 @ (epred1_2 @ X987))|(dsetconstr @ X986 @ (epred1_2 @ X987))!=(setadjoin @ X988 @ emptyset))))&((((in @ (esk69_3 @ X990 @ X991 @ X992) @ (dsetconstr @ X990 @ (epred1_2 @ X991))|in @ (esk68_3 @ X990 @ X991 @ X992) @ X990|~X991 @ X992|~in @ X992 @ X990)&((dsetconstr @ X990 @ (epred1_2 @ X991))=(setadjoin @ (esk69_3 @ X990 @ X991 @ X992) @ emptyset)|in @ (esk68_3 @ X990 @ X991 @ X992) @ X990|~X991 @ X992|~in @ X992 @ X990))&(((in @ (esk69_3 @ X990 @ X991 @ X992) @ (dsetconstr @ X990 @ (epred1_2 @ X991))|X991 @ (esk68_3 @ X990 @ X991 @ X992)|~X991 @ X992|~in @ X992 @ X990)&((dsetconstr @ X990 @ (epred1_2 @ X991))=(setadjoin @ (esk69_3 @ X990 @ X991 @ X992) @ emptyset)|X991 @ (esk68_3 @ X990 @ X991 @ X992)|~X991 @ X992|~in @ X992 @ X990))&((in @ (esk69_3 @ X990 @ X991 @ X992) @ (dsetconstr @ X990 @ (epred1_2 @ X991))|(esk68_3 @ X990 @ X991 @ X992)!=(X992)|~X991 @ X992|~in @ X992 @ X990)&((dsetconstr @ X990 @ (epred1_2 @ X991))=(setadjoin @ (esk69_3 @ X990 @ X991 @ X992) @ emptyset)|(esk68_3 @ X990 @ X991 @ X992)!=(X992)|~X991 @ X992|~in @ X992 @ X990))))&((((in @ (esk72_2 @ X995 @ X996) @ (dsetconstr @ X995 @ (epred1_2 @ X996))|(~in @ X999 @ X995|~X996 @ X999)|in @ (esk70_2 @ X995 @ X996) @ X995)&((dsetconstr @ X995 @ (epred1_2 @ X996))=(setadjoin @ (esk72_2 @ X995 @ X996) @ emptyset)|(~in @ X999 @ X995|~X996 @ X999)|in @ (esk70_2 @ X995 @ X996) @ X995))&(((in @ (esk72_2 @ X995 @ X996) @ (dsetconstr @ X995 @ (epred1_2 @ X996))|(~in @ X999 @ X995|~X996 @ X999)|in @ (esk71_2 @ X995 @ X996) @ X995)&((dsetconstr @ X995 @ (epred1_2 @ X996))=(setadjoin @ (esk72_2 @ X995 @ X996) @ emptyset)|(~in @ X999 @ X995|~X996 @ X999)|in @ (esk71_2 @ X995 @ X996) @ X995))&(((in @ (esk72_2 @ X995 @ X996) @ (dsetconstr @ X995 @ (epred1_2 @ X996))|(~in @ X999 @ X995|~X996 @ X999)|X996 @ (esk70_2 @ X995 @ X996))&((dsetconstr @ X995 @ (epred1_2 @ X996))=(setadjoin @ (esk72_2 @ X995 @ X996) @ emptyset)|(~in @ X999 @ X995|~X996 @ X999)|X996 @ (esk70_2 @ X995 @ X996)))&(((in @ (esk72_2 @ X995 @ X996) @ (dsetconstr @ X995 @ (epred1_2 @ X996))|(~in @ X999 @ X995|~X996 @ X999)|X996 @ (esk71_2 @ X995 @ X996))&((dsetconstr @ X995 @ (epred1_2 @ X996))=(setadjoin @ (esk72_2 @ X995 @ X996) @ emptyset)|(~in @ X999 @ X995|~X996 @ X999)|X996 @ (esk71_2 @ X995 @ X996)))&((in @ (esk72_2 @ X995 @ X996) @ (dsetconstr @ X995 @ (epred1_2 @ X996))|(~in @ X999 @ X995|~X996 @ X999)|(esk70_2 @ X995 @ X996)!=(esk71_2 @ X995 @ X996))&((dsetconstr @ X995 @ (epred1_2 @ X996))=(setadjoin @ (esk72_2 @ X995 @ X996) @ emptyset)|(~in @ X999 @ X995|~X996 @ X999)|(esk70_2 @ X995 @ X996)!=(esk71_2 @ X995 @ X996)))))))&(((setadjoin @ X1001 @ emptyset)!=(setadjoin @ X1002 @ emptyset)|(X1001)=(X1002))&((~in @ (setadjoin @ X1005 @ emptyset) @ (setadjoin @ (setadjoin @ X1003 @ emptyset) @ (setadjoin @ (setadjoin @ X1003 @ (setadjoin @ X1004 @ emptyset)) @ emptyset))|(X1003)=(X1005))&(((in @ (esk73_1 @ X1006) @ (dsetconstr @ (setunion @ X1006) @ (epred3_2 @ X1006))|(~in @ X1007 @ (setunion @ X1006)|(~in @ X1008 @ (setunion @ X1006)|(X1006)!=(setadjoin @ (setadjoin @ X1007 @ emptyset) @ (setadjoin @ (setadjoin @ X1007 @ (setadjoin @ X1008 @ emptyset)) @ emptyset)))))&((dsetconstr @ (setunion @ X1006) @ (epred3_2 @ X1006))=(setadjoin @ (esk73_1 @ X1006) @ emptyset)|(~in @ X1007 @ (setunion @ X1006)|(~in @ X1008 @ (setunion @ X1006)|(X1006)!=(setadjoin @ (setadjoin @ X1007 @ emptyset) @ (setadjoin @ (setadjoin @ X1007 @ (setadjoin @ X1008 @ emptyset)) @ emptyset))))))&((~in @ X1011 @ X1010|(X1010)!=(setadjoin @ X1011 @ emptyset)|in @ (setunion @ X1010) @ X1010)&((kfst @ (kpair @ X1012 @ X1013))=(X1012)&((~in @ X1016 @ (cartprod @ X1014 @ X1015)|in @ (kfst @ X1016) @ X1014)&(((setadjoin @ (setadjoin @ X1017 @ emptyset) @ (setadjoin @ (setadjoin @ X1017 @ (setadjoin @ X1018 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1019 @ emptyset) @ (setadjoin @ (setadjoin @ X1019 @ (setadjoin @ X1020 @ emptyset)) @ emptyset))|(X1017)=(X1019))&(((kpair @ X1021 @ X1022)!=(kpair @ X1023 @ X1024)|(X1021)=(X1023))&(((X1025)!=(X1026)|(setadjoin @ X1025 @ (setadjoin @ X1026 @ emptyset))=(setadjoin @ X1025 @ emptyset))&(((X1027)!=(X1028)|(setadjoin @ (setadjoin @ X1027 @ emptyset) @ (setadjoin @ (setadjoin @ X1027 @ (setadjoin @ X1028 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1027 @ emptyset) @ emptyset))&(((setadjoin @ (setadjoin @ X1029 @ emptyset) @ (setadjoin @ (setadjoin @ X1029 @ (setadjoin @ X1030 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1031 @ emptyset) @ (setadjoin @ (setadjoin @ X1031 @ (setadjoin @ X1032 @ emptyset)) @ emptyset))|((X1031)!=(X1032)|(X1030)=(X1032)))&(((setadjoin @ X1033 @ (setadjoin @ X1034 @ emptyset))!=(setadjoin @ X1035 @ emptyset)|(X1033)=(X1034))&((setadjoin @ (setadjoin @ esk74_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk74_0 @ (setadjoin @ esk75_0 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ esk76_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk76_0 @ (setadjoin @ esk77_0 @ emptyset)) @ emptyset))&(esk75_0)!=(esk77_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_205])])])])])])). 59.42/60.07 thf(c_0_207, negated_conjecture, ![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_206])). 59.42/60.07 thf(c_0_208, negated_conjecture, (setadjoin @ (setadjoin @ esk74_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk74_0 @ (setadjoin @ esk75_0 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ esk76_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk76_0 @ (setadjoin @ esk77_0 @ emptyset)) @ emptyset)), inference(split_conjunct,[status(thm)],[c_0_206])). 59.42/60.07 thf(c_0_209, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(in @ X2 @ X3|(X2)=(X4)|~in @ X2 @ (setadjoin @ X4 @ X3)), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_206])])])). 59.42/60.07 thf(c_0_210, negated_conjecture, in @ (setadjoin @ esk74_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk76_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk76_0 @ (setadjoin @ esk77_0 @ emptyset)) @ emptyset)), inference(spm,[status(thm)],[c_0_207, c_0_208])). 59.42/60.07 thf(c_0_211, negated_conjecture, ((setadjoin @ esk74_0 @ emptyset)=(setadjoin @ esk76_0 @ emptyset)|in @ (setadjoin @ esk74_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk76_0 @ (setadjoin @ esk77_0 @ emptyset)) @ emptyset)), inference(spm,[status(thm)],[c_0_209, c_0_210])). 59.42/60.07 thf(c_0_212, negated_conjecture, ![X2:$i]:~in @ X2 @ emptyset, inference(split_conjunct,[status(thm)],[c_0_206])). 59.42/60.07 thf(c_0_213, negated_conjecture, ((setadjoin @ esk76_0 @ (setadjoin @ esk77_0 @ emptyset))=(setadjoin @ esk74_0 @ emptyset)|(setadjoin @ esk74_0 @ emptyset)=(setadjoin @ esk76_0 @ emptyset)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209, c_0_211]), c_0_212])). 59.42/60.07 thf(c_0_214, negated_conjecture, ((setadjoin @ esk74_0 @ emptyset)=(setadjoin @ esk76_0 @ emptyset)|in @ esk76_0 @ (setadjoin @ esk74_0 @ emptyset)), inference(spm,[status(thm)],[c_0_207, c_0_213])). 59.42/60.07 thf(c_0_215, negated_conjecture, ![X2:$i, X3:$i]:((X2)=(X3)|(setadjoin @ X2 @ emptyset)!=(setadjoin @ X3 @ emptyset)), inference(split_conjunct,[status(thm)],[c_0_206])). 59.42/60.07 thf(c_0_216, negated_conjecture, (esk74_0)=(esk76_0), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209, c_0_214]), c_0_212]), c_0_215])). 59.42/60.07 thf(c_0_217, negated_conjecture, ![X3:$i, X2:$i]:in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)), inference(split_conjunct,[status(thm)],[c_0_206])). 59.42/60.07 thf(c_0_218, negated_conjecture, (setadjoin @ (setadjoin @ esk76_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk76_0 @ (setadjoin @ esk75_0 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ esk76_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk76_0 @ (setadjoin @ esk77_0 @ emptyset)) @ emptyset)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_208, c_0_216]), c_0_216])). 59.42/60.07 thf(c_0_219, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:((X2)=(X3)|(X2)=(X4)|~in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X4 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_206])). 59.42/60.07 thf(c_0_220, negated_conjecture, in @ (setadjoin @ esk76_0 @ (setadjoin @ esk75_0 @ emptyset)) @ (setadjoin @ (setadjoin @ esk76_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk76_0 @ (setadjoin @ esk77_0 @ emptyset)) @ emptyset)), inference(spm,[status(thm)],[c_0_217, c_0_218])). 59.42/60.07 thf(c_0_221, negated_conjecture, ((setadjoin @ esk76_0 @ (setadjoin @ esk75_0 @ emptyset))=(setadjoin @ esk76_0 @ (setadjoin @ esk77_0 @ emptyset))|(setadjoin @ esk76_0 @ (setadjoin @ esk75_0 @ emptyset))=(setadjoin @ esk76_0 @ emptyset)), inference(spm,[status(thm)],[c_0_219, c_0_220])). 59.42/60.07 thf(c_0_222, negated_conjecture, ((setadjoin @ esk76_0 @ (setadjoin @ esk75_0 @ emptyset))=(setadjoin @ esk76_0 @ emptyset)|in @ esk75_0 @ (setadjoin @ esk76_0 @ (setadjoin @ esk77_0 @ emptyset))), inference(spm,[status(thm)],[c_0_217, c_0_221])). 59.42/60.07 thf(c_0_223, negated_conjecture, (esk75_0)!=(esk77_0), inference(split_conjunct,[status(thm)],[c_0_206])). 59.42/60.07 thf(c_0_224, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:((X2)=(X3)|(setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))!=(setadjoin @ X4 @ emptyset)), inference(split_conjunct,[status(thm)],[c_0_206])). 59.42/60.07 thf(c_0_225, negated_conjecture, ![X2:$i, X3:$i]:((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset)|(X2)!=(X3)), inference(split_conjunct,[status(thm)],[c_0_206])). 59.42/60.07 thf(c_0_226, negated_conjecture, (esk75_0)=(esk76_0), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_219, c_0_222]), c_0_223]), c_0_224])). 59.42/60.07 thf(c_0_227, negated_conjecture, ![X2:$i]:(setadjoin @ X2 @ (setadjoin @ X2 @ emptyset))=(setadjoin @ X2 @ emptyset), inference(er,[status(thm)],[c_0_225])). 59.42/60.07 thf(c_0_228, negated_conjecture, (setadjoin @ (setadjoin @ esk76_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk76_0 @ (setadjoin @ esk77_0 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ esk76_0 @ emptyset) @ emptyset), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_218, c_0_226]), c_0_227]), c_0_227])). 59.42/60.07 thf(c_0_229, negated_conjecture, in @ (setadjoin @ esk76_0 @ (setadjoin @ esk77_0 @ emptyset)) @ (setadjoin @ (setadjoin @ esk76_0 @ emptyset) @ emptyset), inference(spm,[status(thm)],[c_0_217, c_0_228])). 59.42/60.07 thf(c_0_230, negated_conjecture, (setadjoin @ esk76_0 @ (setadjoin @ esk77_0 @ emptyset))=(setadjoin @ esk76_0 @ emptyset), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209, c_0_229]), c_0_212])). 59.42/60.07 thf(c_0_231, negated_conjecture, (esk77_0)!=(esk76_0), inference(rw,[status(thm)],[c_0_223, c_0_226])). 59.42/60.07 thf(c_0_232, negated_conjecture, ![X2:$i]:(setadjoin @ esk76_0 @ emptyset)!=(setadjoin @ X2 @ emptyset), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224, c_0_230]), c_0_231])). 59.42/60.07 thf(c_0_233, negated_conjecture, ($false), inference(er,[status(thm)],[c_0_232]), ['proof']). 59.42/60.07 # SZS output end CNFRefutation 59.42/60.07 # Proof object total steps : 234 59.42/60.07 # Proof object clause steps : 27 59.42/60.07 # Proof object formula steps : 207 59.42/60.07 # Proof object conjectures : 30 59.42/60.07 # Proof object clause conjectures : 27 59.42/60.07 # Proof object formula conjectures : 3 59.42/60.07 # Proof object initial clauses used : 10 59.42/60.07 # Proof object initial formulas used : 175 59.42/60.07 # Proof object generating inferences : 13 59.42/60.07 # Proof object simplifying inferences : 15 59.42/60.07 # Training examples: 0 positive, 0 negative 59.42/60.07 # Parsed axioms : 375 59.42/60.07 # Removed by relevancy pruning/SinE : 0 59.42/60.07 # Initial clauses : 536 59.42/60.07 # Removed in clause preprocessing : 226 59.42/60.07 # Initial clauses in saturation : 310 59.42/60.07 # Processed clauses : 1008 59.42/60.07 # ...of these trivial : 25 59.42/60.07 # ...subsumed : 550 59.42/60.07 # ...remaining for further processing : 433 59.42/60.07 # Other redundant clauses eliminated : 674 59.42/60.07 # Clauses deleted for lack of memory : 0 59.42/60.07 # Backward-subsumed : 1 59.42/60.07 # Backward-rewritten : 32 59.42/60.07 # Generated clauses : 8523 59.42/60.07 # ...of the previous two non-trivial : 7249 59.42/60.07 # Contextual simplify-reflections : 2 59.42/60.07 # Paramodulations : 7130 59.42/60.07 # Factorizations : 3 59.42/60.07 # NegExts : 16 59.42/60.07 # Equation resolutions : 682 59.42/60.07 # Propositional unsat checks : 0 59.42/60.07 # Propositional check models : 0 59.42/60.07 # Propositional check unsatisfiable : 0 59.42/60.07 # Propositional clauses : 0 59.42/60.07 # Propositional clauses after purity: 0 59.42/60.07 # Propositional unsat core size : 0 59.42/60.07 # Propositional preprocessing time : 0.000 59.42/60.07 # Propositional encoding time : 0.000 59.42/60.07 # Propositional solver time : 0.000 59.42/60.07 # Success case prop preproc time : 0.000 59.42/60.07 # Success case prop encoding time : 0.000 59.42/60.07 # Success case prop solver time : 0.000 59.42/60.07 # Current number of processed clauses : 394 59.42/60.07 # Positive orientable unit clauses : 54 59.42/60.07 # Positive unorientable unit clauses: 0 59.42/60.07 # Negative unit clauses : 18 59.42/60.07 # Non-unit-clauses : 322 59.42/60.07 # Current number of unprocessed clauses: 6513 59.42/60.07 # ...number of literals in the above : 24401 59.42/60.07 # Current number of archived formulas : 0 59.42/60.07 # Current number of archived clauses : 33 59.42/60.07 # Clause-clause subsumption calls (NU) : 16483 59.42/60.07 # Rec. Clause-clause subsumption calls : 10325 59.42/60.07 # Non-unit clause-clause subsumptions : 290 59.42/60.07 # Unit Clause-clause subsumption calls : 1303 59.42/60.07 # Rewrite failures with RHS unbound : 0 59.42/60.07 # BW rewrite match attempts : 18 59.42/60.07 # BW rewrite match successes : 7 59.42/60.07 # Condensation attempts : 0 59.42/60.07 # Condensation successes : 0 59.42/60.07 # Termbank termtop insertions : 174358 59.42/60.07 59.42/60.07 # ------------------------------------------------- 59.42/60.07 # User time : 57.841 s 59.42/60.07 # System time : 1.599 s 59.42/60.07 # Total time : 59.439 s 59.42/60.07 # Maximum resident set size: 2032 pages 59.42/60.08 EOF