0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % 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 0.14/0.35 % Computer : n013.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1200 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Tue Jul 13 12:35:03 EDT 2021 0.14/0.36 % CPUTime : 0.14/0.36 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.36 # Version: 2.6rc1-ho 0.14/0.37 # No SInE strategy applied 0.14/0.37 # Trying AutoSched0 for 59 seconds 59.14/59.38 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y 59.14/59.38 # and selection function SelectMaxLComplexAvoidPosPred. 59.14/59.38 # 59.14/59.38 # Preprocessing time : 0.049 s 59.20/59.46 # No success with AutoSched0 59.20/59.46 # Trying AutoSched1 for 26 seconds 85.27/85.46 # AutoSched1-Mode selected heuristic G_E___208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN 85.27/85.46 # and selection function SelectComplexExceptUniqMaxHorn. 85.27/85.46 # 85.27/85.46 # Preprocessing time : 0.047 s 85.27/85.46 # Presaturation interreduction done 85.27/85.53 # No success with AutoSched1 85.27/85.53 # Trying AutoSched2 for 8 seconds 93.30/93.53 # AutoSched2-Mode selected heuristic G_E___300_C18_F1_URBAN_S0Y 93.30/93.53 # and selection function SelectMaxLComplexAvoidPosPred. 93.30/93.53 # 93.30/93.53 # Preprocessing time : 0.052 s 93.33/93.54 # No success with AutoSched2 93.33/93.54 # Trying AutoSched3 for 7 seconds 93.80/94.08 # AutoSched3-Mode selected heuristic G_E___212_C18_F1_AE_Q12_CS_SP_S0Y 93.80/94.08 # and selection function SelectMaxLComplexAvoidPosPred. 93.80/94.08 # 93.80/94.08 # Preprocessing time : 0.023 s 93.80/94.08 93.80/94.08 # Proof found! 93.80/94.08 # SZS status Theorem 93.80/94.08 # SZS output start CNFRefutation 93.80/94.08 thf(replAx, axiom, (replAx<=>![X6:$i > $i > $o, X4:$i]:(![X2:$i]:(in @ X2 @ X4=>exu @ (^[X3:$i]:X6 @ X2 @ X3))=>?[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', replAx)). 93.80/94.08 thf(exu, axiom, (exu)=(^[X1:$i > $o]:?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exu)). 93.80/94.08 thf(descrp, axiom, (descrp<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>X1 @ (descr @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', descrp)). 93.80/94.08 thf(exuE1, axiom, (exuE1<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE1)). 93.80/94.08 thf(exuE3e, axiom, (exuE3e<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:X1 @ X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE3e)). 93.80/94.08 thf(nonemptyE1, axiom, (nonemptyE1<=>![X4:$i]:(nonempty @ X4=>?[X2:$i]:in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyE1)). 93.80/94.08 thf(nonempty, axiom, (nonempty)=(^[X2:$i]:(X2)!=(emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonempty)). 93.80/94.08 thf(nonemptyI, axiom, (nonemptyI<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyI)). 93.80/94.08 thf(nonemptyI1, axiom, (nonemptyI1<=>![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>nonempty @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyI1)). 93.80/94.08 thf(exuE2, axiom, (exuE2<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE2)). 93.80/94.08 thf(nonemptyImpWitness, axiom, (nonemptyImpWitness<=>![X4:$i]:(nonempty @ X4=>?[X2:$i]:(in @ X2 @ X4&$true))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyImpWitness)). 93.80/94.08 thf(exuI1, axiom, (exuI1<=>![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>exu @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuI1)). 93.80/94.08 thf(exuI3, axiom, (exuI3<=>![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>exu @ (^[X2:$i]:X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuI3)). 93.80/94.08 thf(exuI2, axiom, (exuI2<=>![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>exu @ (^[X2:$i]:X1 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuI2)). 93.80/94.08 thf(exuE3u, axiom, (exuE3u<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE3u)). 93.80/94.08 thf(exu__Cong, axiom, (exu__Cong<=>![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(exu @ (^[X2:$i]:X1 @ X2)<=>exu @ (^[X2:$i]:X17 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exu__Cong)). 93.80/94.08 thf(exuEu, axiom, (exuEu<=>![X1:$i > $o]:(exu @ (^[X2:$i]:X1 @ X2)=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuEu)). 93.80/94.08 thf(descr__Cong, axiom, (descr__Cong<=>![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(exu @ (^[X2:$i]:X1 @ X2)=>(exu @ (^[X2:$i]:X17 @ X2)=>(descr @ (^[X2:$i]:X1 @ X2))=(descr @ (^[X2:$i]:X17 @ X2)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', descr__Cong)). 93.80/94.08 thf(setextsub, conjecture, ((emptysetAx=>(setadjoinAx=>(powersetAx=>(setunionAx=>(omega0Ax=>(omegaSAx=>((((((dsetconstrI=>((dsetconstrER=>((prop2setE=>(emptysetE=>((notinemptyset=>(exuE3e=>(setext=>(((setbeta=>(nonemptyE1=>(nonemptyI=>(((emptyinunitempty=>(setadjoinIR=>((setadjoinOr=>(setoftrueEq=>(powersetI=>((emptyInPowerset=>(((setunionE=>((exuE2=>(nonemptyImpWitness=>(uniqinunit=>((eqinunit=>(singletonsswitch=>(upairsetE=>(upairsetIL=>((emptyE1=>((quantDeMorgan1=>(((((((notdallE=>(exuI1=>(((inCongP=>(in__Cong=>((exu__Cong=>(emptyset__Cong=>(((setunion__Cong=>(((descr__Cong=>(dsetconstr__Cong=>((eqimpsubset2=>(((((((notequalI1=>(notequalI2=>(subsetRefl=>(subsetTrans=>(setadjoinSub=>((![X4:$i, X5:$i]:((subset @ X5 @ X4=>(X4)=(X5))<=subset @ X4 @ X5)<=subset2powerset)<=setadjoinSub2))))))<=notsubsetI)<=subsetE2)<=subsetE)<=emptysetsubset)<=subsetI2)<=eqimpsubset1))<=subsetI1)))<=exuEu)<=omega__Cong))<=powerset__Cong)<=setadjoin__Cong)))<=exuE3u)))<=exuI2)<=exuI3)))<=notdexE)<=prop2set2propI)<=prop2setI)<=quantDeMorgan4)<=quantDeMorgan3)<=quantDeMorgan2))<=vacuousDall))<=upairsetIR)))))<=notinsingleton))))<=subPowSU))<=setunionI)<=powersetE))<=emptyinPowerset))))<=setadjoinE)))<=setadjoinIL)<=nonemptyI1))))<=noeltsimpempty)<=emptyI))))<=emptysetimpfalse)))<=exuE1))<=dsetconstrEL))<=descrp)<=wellorderingAx)<=foundationAx)<=replAx)<=omegaIndAx)))))))<=setextAx), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setextsub)). 93.80/94.08 thf(setextAx, axiom, (setextAx<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4<=>in @ X2 @ X5)=>(X4)=(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setextAx)). 93.80/94.08 thf(emptysetAx, axiom, (emptysetAx<=>![X2:$i]:~(in @ X2 @ emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetAx)). 93.80/94.08 thf(setadjoinAx, axiom, (setadjoinAx<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)<=>((X3)=(X2)|in @ X3 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinAx)). 93.80/94.08 thf(powersetAx, axiom, (powersetAx<=>![X4:$i, X5:$i]:(in @ X5 @ (powerset @ X4)<=>![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetAx)). 93.80/94.08 thf(setunionAx, axiom, (setunionAx<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)<=>?[X5:$i]:(in @ X2 @ X5&in @ X5 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionAx)). 93.80/94.08 thf(omega0Ax, axiom, (omega0Ax<=>in @ emptyset @ omega), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omega0Ax)). 93.80/94.08 thf(omegaSAx, axiom, (omegaSAx<=>![X2:$i]:(in @ X2 @ omega=>in @ (setadjoin @ X2 @ X2) @ omega)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omegaSAx)). 93.80/94.08 thf(omegaIndAx, axiom, (omegaIndAx<=>![X4:$i]:((in @ emptyset @ X4&![X2:$i]:((in @ X2 @ omega&in @ X2 @ X4)=>in @ (setadjoin @ X2 @ X2) @ X4))=>![X2:$i]:(in @ X2 @ omega=>in @ X2 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omegaIndAx)). 93.80/94.08 thf(foundationAx, axiom, (foundationAx<=>![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>?[X5:$i]:(in @ X5 @ X4&~(?[X2:$i]:(in @ X2 @ X5&in @ X2 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', foundationAx)). 93.80/94.08 thf(wellorderingAx, axiom, (wellorderingAx<=>![X4:$i]:?[X5:$i]:(((![X7:$i]:(in @ X7 @ X5=>![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X4))&![X2:$i, X3:$i]:((in @ X2 @ X4&in @ X3 @ X4)=>(![X7:$i]:(in @ X7 @ X5=>(in @ X2 @ X7<=>in @ X3 @ X7))=>(X2)=(X3))))&![X7:$i, X8:$i]:((in @ X7 @ X5&in @ X8 @ X5)=>(![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X8)|![X2:$i]:(in @ X2 @ X8=>in @ X2 @ X7))))&![X7:$i]:((![X2:$i]:(in @ X2 @ X7=>in @ X2 @ X4)&?[X2:$i]:in @ X2 @ X7)=>?[X8:$i, X2:$i]:(((in @ X8 @ X5&in @ X2 @ X7)&~(?[X3:$i]:(in @ X3 @ X8&in @ X3 @ X7)))&![X9:$i]:(in @ X9 @ X5=>(![X3:$i]:(in @ X3 @ X9=>in @ X3 @ X8)|in @ X2 @ X9)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', wellorderingAx)). 93.80/94.08 thf(dsetconstrI, axiom, (dsetconstrI<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrI)). 93.80/94.08 thf(dsetconstrEL, axiom, (dsetconstrEL<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))=>in @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrEL)). 93.80/94.08 thf(dsetconstrER, axiom, (dsetconstrER<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))=>X1 @ X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrER)). 93.80/94.08 thf(prop2setE, axiom, (prop2setE<=>![X10:$o, X2:$i]:(in @ X2 @ (prop2set @ (X10))=>X10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2setE)). 93.80/94.08 thf(emptysetE, axiom, (emptysetE<=>![X2:$i]:(in @ X2 @ emptyset=>![X11:$o]:X11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetE)). 93.80/94.08 thf(emptysetimpfalse, axiom, (emptysetimpfalse<=>![X2:$i]:(in @ X2 @ emptyset=>~$true)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetimpfalse)). 93.80/94.08 thf(notinemptyset, axiom, (notinemptyset<=>![X2:$i]:~(in @ X2 @ emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notinemptyset)). 93.80/94.08 thf(setext, axiom, (setext<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>(X4)=(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setext)). 93.80/94.08 thf(emptyI, axiom, (emptyI<=>![X4:$i]:(![X2:$i]:~(in @ X2 @ X4)=>(X4)=(emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyI)). 93.80/94.08 thf(noeltsimpempty, axiom, (noeltsimpempty<=>![X4:$i]:(![X2:$i]:~(in @ X2 @ X4)=>(X4)=(emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', noeltsimpempty)). 93.80/94.08 thf(setbeta, axiom, (setbeta<=>![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))<=>X1 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setbeta)). 93.80/94.08 thf(setadjoinIL, axiom, (setadjoinIL<=>![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinIL)). 93.80/94.08 thf(emptyinunitempty, axiom, (emptyinunitempty<=>in @ emptyset @ (setadjoin @ emptyset @ emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyinunitempty)). 93.80/94.08 thf(setadjoinIR, axiom, (setadjoinIR<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ X4=>in @ X3 @ (setadjoin @ X2 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinIR)). 93.80/94.08 thf(setadjoinE, axiom, (setadjoinE<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>![X12:$o]:(((X3)=(X2)=>X12)=>((in @ X3 @ X4=>X12)=>X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinE)). 93.80/94.08 thf(setadjoinOr, axiom, (setadjoinOr<=>![X2:$i, X4:$i, X3:$i]:(in @ X3 @ (setadjoin @ X2 @ X4)=>((X3)=(X2)|in @ X3 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinOr)). 93.80/94.08 thf(setoftrueEq, axiom, (setoftrueEq<=>![X4:$i]:(dsetconstr @ X4 @ (^[X2:$i]:$true))=(X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setoftrueEq)). 93.80/94.08 thf(powersetI, axiom, (powersetI<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X5=>in @ X2 @ X4)=>in @ X5 @ (powerset @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetI)). 93.80/94.08 thf(emptyinPowerset, axiom, (emptyinPowerset<=>![X4:$i]:in @ emptyset @ (powerset @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyinPowerset)). 93.80/94.08 thf(emptyInPowerset, axiom, (emptyInPowerset<=>![X4:$i]:in @ emptyset @ (powerset @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyInPowerset)). 93.80/94.08 thf(powersetE, axiom, (powersetE<=>![X4:$i, X5:$i, X2:$i]:(in @ X5 @ (powerset @ X4)=>(in @ X2 @ X5=>in @ X2 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetE)). 93.80/94.08 thf(setunionI, axiom, (setunionI<=>![X4:$i, X2:$i, X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>in @ X2 @ (setunion @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionI)). 93.80/94.08 thf(setunionE, axiom, (setunionE<=>![X4:$i, X2:$i]:(in @ X2 @ (setunion @ X4)=>![X13:$o]:(![X5:$i]:(in @ X2 @ X5=>(in @ X5 @ X4=>X13))=>X13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionE)). 93.80/94.08 thf(subPowSU, axiom, (subPowSU<=>![X4:$i, X2:$i]:(in @ X2 @ X4=>in @ X2 @ (powerset @ (setunion @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subPowSU)). 93.80/94.08 thf(uniqinunit, axiom, (uniqinunit<=>![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>(X2)=(X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', uniqinunit)). 93.80/94.08 thf(notinsingleton, axiom, (notinsingleton<=>![X2:$i, X3:$i]:((X2)!=(X3)=>~(in @ X3 @ (setadjoin @ X2 @ emptyset)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notinsingleton)). 93.80/94.08 thf(eqinunit, axiom, (eqinunit<=>![X2:$i, X3:$i]:((X2)=(X3)=>in @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqinunit)). 93.80/94.08 thf(singletonsswitch, axiom, (singletonsswitch<=>![X2:$i, X3:$i]:(in @ X2 @ (setadjoin @ X3 @ emptyset)=>in @ X3 @ (setadjoin @ X2 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletonsswitch)). 93.80/94.08 thf(upairsetE, axiom, (upairsetE<=>![X2:$i, X3:$i, X14:$i]:(in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=>((X14)=(X2)|(X14)=(X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsetE)). 93.80/94.08 thf(upairsetIL, axiom, (upairsetIL<=>![X2:$i, X3:$i]:in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsetIL)). 93.80/94.08 thf(upairsetIR, axiom, (upairsetIR<=>![X2:$i, X3:$i]:in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsetIR)). 93.80/94.08 thf(emptyE1, axiom, (emptyE1<=>![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)=>((dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))=(emptyset)=>~$true))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyE1)). 93.80/94.08 thf(vacuousDall, axiom, (vacuousDall<=>![X1:$i > $o, X2:$i]:(in @ X2 @ emptyset=>X1 @ X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', vacuousDall)). 93.80/94.08 thf(quantDeMorgan1, axiom, (quantDeMorgan1<=>![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan1)). 93.80/94.08 thf(quantDeMorgan2, axiom, (quantDeMorgan2<=>![X4:$i, X1:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2))=>~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan2)). 93.80/94.08 thf(quantDeMorgan3, axiom, (quantDeMorgan3<=>![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan3)). 93.80/94.08 thf(quantDeMorgan4, axiom, (quantDeMorgan4<=>![X4:$i, X1:$i > $o]:(?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2))=>~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan4)). 93.80/94.08 thf(prop2setI, axiom, (prop2setI<=>![X15:$o]:(X15=>in @ emptyset @ (prop2set @ (X15)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2setI)). 93.80/94.08 thf(prop2set2propI, axiom, (prop2set2propI<=>![X16:$o]:(X16=>set2prop @ (prop2set @ (X16)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2set2propI)). 93.80/94.08 thf(notdexE, axiom, (notdexE<=>![X4:$i, X1:$i > $o]:(~(?[X2:$i]:(in @ X2 @ X4&X1 @ X2))=>![X2:$i]:(in @ X2 @ X4=>~(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notdexE)). 93.80/94.08 thf(notdallE, axiom, (notdallE<=>![X4:$i, X1:$i > $o]:(~(![X2:$i]:(in @ X2 @ X4=>X1 @ X2))=>?[X2:$i]:(in @ X2 @ X4&~(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notdallE)). 93.80/94.08 thf(inCongP, axiom, (inCongP<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4=>in @ X3 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', inCongP)). 93.80/94.08 thf(in__Cong, axiom, (in__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X2:$i, X3:$i]:((X2)=(X3)=>(in @ X2 @ X4<=>in @ X3 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', in__Cong)). 93.80/94.08 thf(emptyset__Cong, axiom, (emptyset__Cong<=>(emptyset)=(emptyset)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyset__Cong)). 93.80/94.08 thf(setadjoin__Cong, axiom, (setadjoin__Cong<=>![X2:$i, X3:$i]:((X2)=(X3)=>![X14:$i, X18:$i]:((X14)=(X18)=>(setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoin__Cong)). 93.80/94.08 thf(powerset__Cong, axiom, (powerset__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>(powerset @ X4)=(powerset @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powerset__Cong)). 93.80/94.08 thf(setunion__Cong, axiom, (setunion__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>(setunion @ X4)=(setunion @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunion__Cong)). 93.80/94.08 thf(omega__Cong, axiom, (omega__Cong<=>(omega)=(omega)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omega__Cong)). 93.80/94.08 thf(dsetconstr__Cong, axiom, (dsetconstr__Cong<=>![X4:$i, X5:$i]:((X4)=(X5)=>![X1:$i > $o, X17:$i > $o]:(![X2:$i]:(in @ X2 @ X4=>![X3:$i]:(in @ X3 @ X5=>((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))))=>(dsetconstr @ X4 @ (^[X2:$i]:X1 @ X2))=(dsetconstr @ X5 @ (^[X2:$i]:X17 @ X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstr__Cong)). 93.80/94.08 thf(subsetI1, axiom, (subsetI1<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetI1)). 93.80/94.08 thf(eqimpsubset2, axiom, (eqimpsubset2<=>![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X5 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqimpsubset2)). 93.80/94.08 thf(eqimpsubset1, axiom, (eqimpsubset1<=>![X4:$i, X5:$i]:((X4)=(X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqimpsubset1)). 93.80/94.08 thf(subsetI2, axiom, (subsetI2<=>![X4:$i, X5:$i]:(![X2:$i]:(in @ X2 @ X4=>in @ X2 @ X5)=>subset @ X4 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetI2)). 93.80/94.08 thf(emptysetsubset, axiom, (emptysetsubset<=>![X4:$i]:subset @ emptyset @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetsubset)). 93.80/94.08 thf(subsetE, axiom, (subsetE<=>![X4:$i, X5:$i, X2:$i]:(subset @ X4 @ X5=>(in @ X2 @ X4=>in @ X2 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetE)). 93.80/94.08 thf(subsetE2, axiom, (subsetE2<=>![X4:$i, X5:$i, X2:$i]:(subset @ X4 @ X5=>(~(in @ X2 @ X5)=>~(in @ X2 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetE2)). 93.80/94.08 thf(notsubsetI, axiom, (notsubsetI<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>~(subset @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notsubsetI)). 93.80/94.08 thf(notequalI1, axiom, (notequalI1<=>![X4:$i, X5:$i]:(~(subset @ X4 @ X5)=>(X4)!=(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notequalI1)). 93.80/94.08 thf(notequalI2, axiom, (notequalI2<=>![X4:$i, X5:$i, X2:$i]:(in @ X2 @ X4=>(~(in @ X2 @ X5)=>(X4)!=(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notequalI2)). 93.80/94.08 thf(subsetRefl, axiom, (subsetRefl<=>![X4:$i]:subset @ X4 @ X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetRefl)). 93.80/94.08 thf(subsetTrans, axiom, (subsetTrans<=>![X4:$i, X5:$i, X7:$i]:(subset @ X4 @ X5=>(subset @ X5 @ X7=>subset @ X4 @ X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetTrans)). 93.80/94.08 thf(setadjoinSub, axiom, (setadjoinSub<=>![X2:$i, X4:$i]:subset @ X4 @ (setadjoin @ X2 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinSub)). 93.80/94.08 thf(setadjoinSub2, axiom, (setadjoinSub2<=>![X4:$i, X2:$i, X5:$i]:(subset @ X4 @ X5=>subset @ X4 @ (setadjoin @ X2 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinSub2)). 93.80/94.08 thf(subset2powerset, axiom, (subset2powerset<=>![X4:$i, X5:$i]:(subset @ X4 @ X5=>in @ X4 @ (powerset @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset2powerset)). 93.80/94.08 thf(c_0_93, axiom, (replAx)=(![X6:$i > $i > $o, X4:$i]:(![X2:$i]:(in @ X2 @ X4=>?[X269:$i]:(X6 @ X2 @ X269&![X271:$i]:(X6 @ X2 @ X271=>(X269)=(X271))))=>?[X5:$i]:![X2:$i]:(in @ X2 @ X5<=>?[X3:$i]:(in @ X3 @ X4&X6 @ X3 @ X2)))), inference(apply_def,[status(thm)],[replAx, exu])). 93.80/94.08 thf(c_0_94, axiom, (descrp)=(![X1:$i > $o]:(?[X272:$i]:(X1 @ X272&![X273:$i]:(X1 @ X273=>(X272)=(X273)))=>X1 @ (descr @ (^[X2:$i]:X1 @ X2)))), inference(apply_def,[status(thm)],[descrp, exu])). 93.80/94.08 thf(c_0_95, axiom, (exuE1)=(![X1:$i > $o]:(?[X274:$i]:(X1 @ X274&![X275:$i]:(X1 @ X275=>(X274)=(X275)))=>?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuE1, exu])). 93.80/94.08 thf(c_0_96, axiom, (exuE3e)=(![X1:$i > $o]:(?[X276:$i]:(X1 @ X276&![X277:$i]:(X1 @ X277=>(X276)=(X277)))=>?[X2:$i]:X1 @ X2)), inference(apply_def,[status(thm)],[exuE3e, exu])). 93.80/94.08 thf(c_0_97, axiom, (nonemptyE1)=(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:in @ X2 @ X4)), inference(apply_def,[status(thm)],[nonemptyE1, nonempty])). 93.80/94.08 thf(c_0_98, axiom, (nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(in @ X2 @ X4=>(X1 @ X2=>(dsetconstr @ X4 @ (^[X3:$i]:X1 @ X3))!=(emptyset)))), inference(apply_def,[status(thm)],[nonemptyI, nonempty])). 93.80/94.08 thf(c_0_99, axiom, (nonemptyI1)=(![X4:$i]:(?[X2:$i]:in @ X2 @ X4=>(X4)!=(emptyset))), inference(apply_def,[status(thm)],[nonemptyI1, nonempty])). 93.80/94.08 thf(c_0_100, axiom, (exuE2)=(![X1:$i > $o]:(?[X278:$i]:(X1 @ X278&![X279:$i]:(X1 @ X279=>(X278)=(X279)))=>?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2)))), inference(apply_def,[status(thm)],[exuE2, exu])). 93.80/94.08 thf(c_0_101, axiom, (nonemptyImpWitness)=(![X4:$i]:((X4)!=(emptyset)=>?[X2:$i]:(in @ X2 @ X4&$true))), inference(apply_def,[status(thm)],[nonemptyImpWitness, nonempty])). 93.80/94.08 thf(c_0_102, axiom, (exuI1)=(![X1:$i > $o]:(?[X2:$i]:(X1 @ X2&![X3:$i]:(X1 @ X3=>(X2)=(X3)))=>?[X280:$i]:(X1 @ X280&![X281:$i]:(X1 @ X281=>(X280)=(X281))))), inference(apply_def,[status(thm)],[exuI1, exu])). 93.80/94.08 thf(c_0_103, axiom, (exuI3)=(![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>?[X282:$i]:(X1 @ X282&![X283:$i]:(X1 @ X283=>(X282)=(X283)))))), inference(apply_def,[status(thm)],[exuI3, exu])). 93.80/94.08 thf(c_0_104, axiom, (exuI2)=(![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>?[X284:$i]:(X1 @ X284&![X285:$i]:(X1 @ X285=>(X284)=(X285))))), inference(apply_def,[status(thm)],[exuI2, exu])). 93.80/94.08 thf(c_0_105, axiom, (exuE3u)=(![X1:$i > $o]:(?[X286:$i]:(X1 @ X286&![X287:$i]:(X1 @ X287=>(X286)=(X287)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuE3u, exu])). 93.80/94.08 thf(c_0_106, axiom, (exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X288:$i]:(X1 @ X288&![X289:$i]:(X1 @ X289=>(X288)=(X289)))<=>?[X290:$i]:(X17 @ X290&![X291:$i]:(X17 @ X291=>(X290)=(X291)))))), inference(apply_def,[status(thm)],[exu__Cong, exu])). 93.80/94.08 thf(c_0_107, axiom, (exuEu)=(![X1:$i > $o]:(?[X292:$i]:(X1 @ X292&![X293:$i]:(X1 @ X293=>(X292)=(X293)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))), inference(apply_def,[status(thm)],[exuEu, exu])). 93.80/94.08 thf(c_0_108, axiom, (descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X294:$i]:(X1 @ X294&![X295:$i]:(X1 @ X295=>(X294)=(X295)))=>(?[X296:$i]:(X17 @ X296&![X297:$i]:(X17 @ X297=>(X296)=(X297)))=>(descr @ (^[X2:$i]:X1 @ X2))=(descr @ (^[X2:$i]:X17 @ X2)))))), inference(apply_def,[status(thm)],[descr__Cong, exu])). 93.80/94.08 thf(c_0_109, plain, ![X3:$i, X1:$i > $o]:(epred1_2 @ X1 @ X3<=>X1 @ X3), introduced(definition)). 93.80/94.08 thf(c_0_110, plain, ![X2:$i]:epred2_1 @ X2, inference(fof_simplification,[status(thm)],[introduced(definition)])). 93.80/94.08 thf(c_0_111, plain, (epred3_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:$i]:(in @ X3 @ X9=>in @ X3 @ X8)|in @ X2 @ X9)))))), introduced(definition)). 93.80/94.08 thf(c_0_112, negated_conjecture, ~((![X4:$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:$i]:(in @ X2 @ X4=>?[X269:$i]:(X6 @ X2 @ X269&![X271:$i]:(X6 @ X2 @ X271=>(X269)=(X271))))=>?[X5:$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))))=>(epred3_0=>(![X1:$i > $o]:(?[X272:$i]:(X1 @ X272&![X273:$i]:(X1 @ X273=>(X272)=(X273)))=>X1 @ (descr @ (epred1_2 @ X1)))=>(![X4:$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 > $o]:(?[X274:$i]:(X1 @ X274&![X275:$i]:(X1 @ X275=>(X274)=(X275)))=>?[X2:$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 > $o]:(?[X276:$i]:(X1 @ X276&![X277:$i]:(X1 @ X277=>(X276)=(X277)))=>?[X2:$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 > $o]:(?[X278:$i]:(X1 @ X278&![X279:$i]:(X1 @ X279=>(X278)=(X279)))=>?[X2:$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:$i]:(X1 @ X3=>(X2)=(X3)))=>?[X280:$i]:(X1 @ X280&![X281:$i]:(X1 @ X281=>(X280)=(X281))))=>(![X1:$i > $o]:(?[X2:$i]:X1 @ X2=>(![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3)))=>?[X282:$i]:(X1 @ X282&![X283:$i]:(X1 @ X283=>(X282)=(X283)))))=>(![X1:$i > $o]:(?[X2:$i]:![X3:$i]:(X1 @ X3<=>(X3)=(X2))=>?[X284:$i]:(X1 @ X284&![X285:$i]:(X1 @ X285=>(X284)=(X285))))=>(![X4:$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 > $o]:(?[X286:$i]:(X1 @ X286&![X287:$i]:(X1 @ X287=>(X286)=(X287)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))=>(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X288:$i]:(X1 @ X288&![X289:$i]:(X1 @ X289=>(X288)=(X289)))<=>?[X290:$i]:(X17 @ X290&![X291:$i]:(X17 @ X291=>(X290)=(X291)))))=>((emptyset)=(emptyset)=>(![X2:$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 > $o]:(?[X292:$i]:(X1 @ X292&![X293:$i]:(X1 @ X293=>(X292)=(X293)))=>![X2:$i, X3:$i]:(X1 @ X2=>(X1 @ X3=>(X2)=(X3))))=>(![X1:$i > $o, X17:$i > $o]:(![X2:$i, X3:$i]:((X2)=(X3)=>(X1 @ X2<=>X17 @ X3))=>(?[X294:$i]:(X1 @ X294&![X295:$i]:(X1 @ X295=>(X294)=(X295)))=>(?[X296:$i]:(X17 @ X296&![X297:$i]:(X17 @ X297=>(X296)=(X297)))=>(descr @ (epred1_2 @ X1))=(descr @ (epred1_2 @ X17)))))=>(![X4:$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[setextsub]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_93]), foundationAx]), wellorderingAx]), c_0_94]), dsetconstrI]), dsetconstrEL]), dsetconstrER]), c_0_95]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_96]), setext]), emptyI]), noeltsimpempty]), setbeta]), c_0_97]), c_0_98]), c_0_99]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), setoftrueEq]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_100]), c_0_101]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), emptyE1]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_102]), c_0_103]), c_0_104]), inCongP]), in__Cong]), c_0_105]), c_0_106]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_107]), c_0_108]), dsetconstr__Cong]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), c_0_109]), c_0_109]), c_0_109]), c_0_109]), c_0_109]), c_0_109]), c_0_109]), c_0_110]), c_0_109]), c_0_109]), c_0_109]), c_0_109])])]), c_0_111])). 93.80/94.08 thf(c_0_113, negated_conjecture, ![X298:$i, X299:$i, X301:$i, X302:$i, X303:$i, X304:$i, X305:$i, X306:$i, X307:$i, X308:$i, X309:$i, X311:$i, X312:$i, X314:$i, X315:$i, X316:$i, X317:$i, X318:$i, X320:$i, X321:$i > $i > $o, X322:$i, X324:$i, X327:$i, X329:$i, X330:$i, X331:$i, X332:$i, X334:$i, X335:$i > $o, X336:$i, X338:$i, X339:$i > $o, X340:$i, X341:$i, X342:$i > $o, X343:$i, X344:$i, X345:$i > $o, X346:$i, X347:$i > $o, X348:$i, X351:$i, X352:$o, X353:$i, X354:$i, X355:$o, X356:$i, X357:$i, X358:$i > $o, X359:$i, X362:$i, X363:$i, X366:$i, X368:$i, X370:$i, X371:$i > $o, X372:$i, X373:$i, X375:$i, X376:$i > $o, X377:$i, X378:$i, X379:$i, X380:$i, X381:$i, X382:$i, X383:$i, X384:$i, X385:$i, X386:$i, X387:$i, X388:$o, X389:$i, X390:$i, X391:$i, X392:$i, X393:$i, X394:$i, X396:$i, X397:$i, X398:$i, X399:$i, X400:$i, X401:$i, X402:$i, X403:$i, X404:$i, X405:$i, X406:$o, X408:$i, X409:$i, X410:$i > $o, X411:$i, X414:$i, X415:$i, X416:$i, X418:$i, X419:$i, X420:$i, X421:$i, X422:$i, X423:$i, X424:$i, X425:$i, X426:$i, X427:$i, X428:$i, X429:$i, X430:$i, X431:$i, X432:$i, X433:$i, X434:$i > $o, X435:$i, X436:$i > $o, X437:$i, X438:$i, X439:$i > $o, X440:$i, X442:$i, X443:$i > $o, X445:$i, X446:$i, X447:$i > $o, X449:$i, X450:$i, X451:$i > $o, X452:$i, X454:$o, X455:$o, X456:$i, X457:$i > $o, X459:$i, X460:$i, X461:$i > $o, X462:$i, X464:$i > $o, X465:$i, X468:$i, X469:$i > $o, X470:$i, X474:$i, X475:$i > $o, X476:$i, X479:$i, X480:$i, X481:$i, X482:$i, X483:$i, X484:$i, X485:$i, X486:$i, X487:$i, X488:$i > $o, X489:$i, X491:$i, X492:$i, X493:$i > $o, X494:$i > $o, X497:$i, X500:$i, X501:$i, X504:$i, X505:$i, X506:$i, X507:$i, X508:$i, X509:$i, X510:$i, X511:$i, X512:$i, X513:$i > $o, X514:$i, X516:$i, X517:$i, X518:$i > $o, X519:$i > $o, X522:$i, X524:$i, X526:$i, X527:$i, X528:$i > $o, X529:$i > $o, X532:$i, X533:$i, X535:$i, X536:$i, X537:$i, X538:$i, X539:$i, X540:$i, X542:$i, X543:$i, X544:$i, X545:$i, X546:$i, X547:$i, X548:$i, X549:$i, X550:$i, X551:$i, X552:$i, X553:$i, X554:$i, X555:$i, X556:$i, X557:$i, X558:$i, X559:$i, X560:$i, X561:$i, X562:$i, X563:$i, X564:$i, X565:$i, X566:$i, X567:$i]:(((~in @ (esk1_2 @ X298 @ X299) @ X298|~in @ (esk1_2 @ X298 @ X299) @ X299|(X298)=(X299))&(in @ (esk1_2 @ X298 @ X299) @ X298|in @ (esk1_2 @ X298 @ X299) @ X299|(X298)=(X299)))&(~in @ X301 @ emptyset&(((~in @ X304 @ (setadjoin @ X302 @ X303)|((X304)=(X302)|in @ X304 @ X303))&(((X304)!=(X302)|in @ X304 @ (setadjoin @ X302 @ X303))&(~in @ X304 @ X303|in @ X304 @ (setadjoin @ X302 @ X303))))&(((~in @ X306 @ (powerset @ X305)|(~in @ X307 @ X306|in @ X307 @ X305))&((in @ (esk2_2 @ X308 @ X309) @ X309|in @ X309 @ (powerset @ X308))&(~in @ (esk2_2 @ X308 @ X309) @ X308|in @ X309 @ (powerset @ X308))))&((((in @ X312 @ (esk3_2 @ X311 @ X312)|~in @ X312 @ (setunion @ X311))&(in @ (esk3_2 @ X311 @ X312) @ X311|~in @ X312 @ (setunion @ X311)))&(~in @ X315 @ X316|~in @ X316 @ X314|in @ X315 @ (setunion @ X314)))&(in @ emptyset @ omega&((~in @ X317 @ omega|in @ (setadjoin @ X317 @ X317) @ omega)&((((in @ (esk4_1 @ X318) @ omega|~in @ emptyset @ X318|(~in @ X320 @ omega|in @ X320 @ X318))&(in @ (esk4_1 @ X318) @ X318|~in @ emptyset @ X318|(~in @ X320 @ omega|in @ X320 @ X318)))&(~in @ (setadjoin @ (esk4_1 @ X318) @ (esk4_1 @ X318)) @ X318|~in @ emptyset @ X318|(~in @ X320 @ omega|in @ X320 @ X318)))&(((((in @ (esk8_3 @ X321 @ X322 @ X327) @ X322|~in @ X327 @ (esk7_2 @ X321 @ X322)|in @ (esk5_2 @ X321 @ X322) @ X322)&(X321 @ (esk8_3 @ X321 @ X322 @ X327) @ X327|~in @ X327 @ (esk7_2 @ X321 @ X322)|in @ (esk5_2 @ X321 @ X322) @ X322))&(~in @ X330 @ X322|~X321 @ X330 @ X329|in @ X329 @ (esk7_2 @ X321 @ X322)|in @ (esk5_2 @ X321 @ X322) @ X322))&((((in @ (esk8_3 @ X321 @ X322 @ X327) @ X322|~in @ X327 @ (esk7_2 @ X321 @ X322)|(X321 @ (esk5_2 @ X321 @ X322) @ (esk6_3 @ X321 @ X322 @ X324)|~X321 @ (esk5_2 @ X321 @ X322) @ X324))&(X321 @ (esk8_3 @ X321 @ X322 @ X327) @ X327|~in @ X327 @ (esk7_2 @ X321 @ X322)|(X321 @ (esk5_2 @ X321 @ X322) @ (esk6_3 @ X321 @ X322 @ X324)|~X321 @ (esk5_2 @ X321 @ X322) @ X324)))&(~in @ X330 @ X322|~X321 @ X330 @ X329|in @ X329 @ (esk7_2 @ X321 @ X322)|(X321 @ (esk5_2 @ X321 @ X322) @ (esk6_3 @ X321 @ X322 @ X324)|~X321 @ (esk5_2 @ X321 @ X322) @ X324)))&(((in @ (esk8_3 @ X321 @ X322 @ X327) @ X322|~in @ X327 @ (esk7_2 @ X321 @ X322)|((X324)!=(esk6_3 @ X321 @ X322 @ X324)|~X321 @ (esk5_2 @ X321 @ X322) @ X324))&(X321 @ (esk8_3 @ X321 @ X322 @ X327) @ X327|~in @ X327 @ (esk7_2 @ X321 @ X322)|((X324)!=(esk6_3 @ X321 @ X322 @ X324)|~X321 @ (esk5_2 @ X321 @ 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X519))))&((((X519 @ (esk49_3 @ X518 @ X519 @ X524)|~X519 @ X524|(descr @ (epred1_2 @ X518))=(descr @ (epred1_2 @ X519))|(X518 @ (esk48_3 @ X518 @ X519 @ X522)|~X518 @ X522)|(~X518 @ (esk46_2 @ X518 @ X519)|~X519 @ (esk47_2 @ X518 @ X519)))&((X524)!=(esk49_3 @ X518 @ X519 @ X524)|~X519 @ X524|(descr @ (epred1_2 @ X518))=(descr @ (epred1_2 @ X519))|(X518 @ (esk48_3 @ X518 @ X519 @ X522)|~X518 @ X522)|(~X518 @ (esk46_2 @ X518 @ X519)|~X519 @ (esk47_2 @ X518 @ X519))))&((X519 @ (esk49_3 @ X518 @ X519 @ X524)|~X519 @ X524|(descr @ (epred1_2 @ X518))=(descr @ (epred1_2 @ X519))|((X522)!=(esk48_3 @ X518 @ X519 @ X522)|~X518 @ X522)|(~X518 @ (esk46_2 @ X518 @ X519)|~X519 @ (esk47_2 @ X518 @ X519)))&((X524)!=(esk49_3 @ X518 @ X519 @ X524)|~X519 @ X524|(descr @ (epred1_2 @ X518))=(descr @ (epred1_2 @ X519))|((X522)!=(esk48_3 @ X518 @ X519 @ X522)|~X518 @ X522)|(~X518 @ (esk46_2 @ X518 @ X519)|~X519 @ (esk47_2 @ X518 @ X519)))))&(((X519 @ (esk49_3 @ X518 @ X519 @ X524)|~X519 @ X524|(descr @ (epred1_2 @ X518))=(descr @ (epred1_2 @ X519))|(X518 @ (esk48_3 @ X518 @ X519 @ X522)|~X518 @ X522)|(X518 @ (esk46_2 @ X518 @ X519)|X519 @ (esk47_2 @ X518 @ X519)))&((X524)!=(esk49_3 @ X518 @ X519 @ X524)|~X519 @ X524|(descr @ (epred1_2 @ X518))=(descr @ (epred1_2 @ X519))|(X518 @ (esk48_3 @ X518 @ X519 @ X522)|~X518 @ X522)|(X518 @ (esk46_2 @ X518 @ X519)|X519 @ (esk47_2 @ X518 @ X519))))&((X519 @ (esk49_3 @ X518 @ X519 @ X524)|~X519 @ X524|(descr @ (epred1_2 @ X518))=(descr @ (epred1_2 @ X519))|((X522)!=(esk48_3 @ X518 @ X519 @ X522)|~X518 @ X522)|(X518 @ (esk46_2 @ X518 @ X519)|X519 @ (esk47_2 @ X518 @ X519)))&((X524)!=(esk49_3 @ X518 @ X519 @ X524)|~X519 @ X524|(descr @ (epred1_2 @ X518))=(descr @ (epred1_2 @ X519))|((X522)!=(esk48_3 @ X518 @ X519 @ X522)|~X518 @ X522)|(X518 @ (esk46_2 @ X518 @ X519)|X519 @ (esk47_2 @ X518 @ X519)))))))&(((in @ (esk50_4 @ X526 @ X527 @ X528 @ X529) @ X526|(dsetconstr @ X526 @ (epred1_2 @ X528))=(dsetconstr @ X527 @ (epred1_2 @ X529))|(X526)!=(X527))&((in @ (esk51_4 @ X526 @ X527 @ X528 @ X529) @ X527|(dsetconstr @ X526 @ (epred1_2 @ X528))=(dsetconstr @ X527 @ (epred1_2 @ X529))|(X526)!=(X527))&(((esk50_4 @ X526 @ X527 @ X528 @ X529)=(esk51_4 @ X526 @ X527 @ X528 @ X529)|(dsetconstr @ X526 @ (epred1_2 @ X528))=(dsetconstr @ X527 @ (epred1_2 @ X529))|(X526)!=(X527))&((~X528 @ (esk50_4 @ X526 @ X527 @ X528 @ X529)|~X529 @ (esk51_4 @ X526 @ X527 @ X528 @ X529)|(dsetconstr @ X526 @ (epred1_2 @ X528))=(dsetconstr @ X527 @ (epred1_2 @ X529))|(X526)!=(X527))&(X528 @ (esk50_4 @ X526 @ X527 @ X528 @ X529)|X529 @ (esk51_4 @ X526 @ X527 @ X528 @ X529)|(dsetconstr @ X526 @ (epred1_2 @ X528))=(dsetconstr @ X527 @ (epred1_2 @ X529))|(X526)!=(X527))))))&(((in @ (esk52_2 @ X532 @ X533) @ X532|subset @ X532 @ X533)&(~in @ (esk52_2 @ X532 @ X533) @ X533|subset @ X532 @ X533))&(((X535)!=(X536)|subset @ X536 @ X535)&(((X537)!=(X538)|subset @ X537 @ X538)&(((in @ (esk53_2 @ X539 @ X540) @ X539|subset @ X539 @ X540)&(~in @ (esk53_2 @ X539 @ X540) @ X540|subset @ X539 @ X540))&(subset @ emptyset @ X542&((~subset @ X543 @ X544|(~in @ X545 @ X543|in @ X545 @ X544))&((~subset @ X546 @ X547|(in @ X548 @ X547|~in @ X548 @ X546))&((~in @ X551 @ X549|(in @ X551 @ X550|~subset @ X549 @ X550))&((subset @ X552 @ X553|(X552)!=(X553))&((~in @ X556 @ X554|(in @ X556 @ X555|(X554)!=(X555)))&(subset @ X557 @ X557&((~subset @ X558 @ X559|(~subset @ X559 @ X560|subset @ X558 @ X560))&(subset @ X562 @ (setadjoin @ X561 @ X562)&((~subset @ X563 @ X565|subset @ X563 @ (setadjoin @ X564 @ X565))&((~subset @ X566 @ X567|in @ X566 @ (powerset @ X567))&(subset @ esk54_0 @ esk55_0&(subset @ esk55_0 @ esk54_0&(esk54_0)!=(esk55_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_112])])])])])])). 93.80/94.08 thf(c_0_114, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(in @ X4 @ X3|~subset @ X2 @ X3|~in @ X4 @ X2), inference(split_conjunct,[status(thm)],[c_0_113])). 93.80/94.08 thf(c_0_115, negated_conjecture, subset @ esk54_0 @ esk55_0, inference(split_conjunct,[status(thm)],[c_0_113])). 93.80/94.08 thf(c_0_116, negated_conjecture, ![X3:$i, X2:$i]:((X2)=(X3)|in @ (esk15_2 @ X2 @ X3) @ X2|~in @ (esk16_2 @ X2 @ X3) @ X2), inference(split_conjunct,[status(thm)],[c_0_113])). 93.80/94.08 thf(c_0_117, negated_conjecture, ![X2:$i]:(in @ X2 @ esk55_0|~in @ X2 @ esk54_0), inference(spm,[status(thm)],[c_0_114, c_0_115])). 93.80/94.08 thf(c_0_118, negated_conjecture, subset @ esk55_0 @ esk54_0, inference(split_conjunct,[status(thm)],[c_0_113])). 93.80/94.08 thf(c_0_119, negated_conjecture, ![X2:$i]:((esk55_0)=(X2)|in @ (esk15_2 @ esk55_0 @ X2) @ esk55_0|~in @ (esk16_2 @ esk55_0 @ X2) @ esk54_0), inference(spm,[status(thm)],[c_0_116, c_0_117])). 93.80/94.08 thf(c_0_120, negated_conjecture, ![X3:$i, X2:$i]:(in @ (esk16_2 @ X2 @ X3) @ X3|(X2)=(X3)|in @ (esk15_2 @ X2 @ X3) @ X2), inference(split_conjunct,[status(thm)],[c_0_113])). 93.80/94.08 thf(c_0_121, negated_conjecture, (esk54_0)!=(esk55_0), inference(split_conjunct,[status(thm)],[c_0_113])). 93.80/94.08 thf(c_0_122, negated_conjecture, ![X2:$i]:(in @ X2 @ esk54_0|~in @ X2 @ esk55_0), inference(spm,[status(thm)],[c_0_114, c_0_118])). 93.80/94.08 thf(c_0_123, negated_conjecture, in @ (esk15_2 @ esk55_0 @ esk54_0) @ esk55_0, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_120]), c_0_121])). 93.80/94.08 thf(c_0_124, negated_conjecture, ![X2:$i, X3:$i]:((X2)=(X3)|~in @ (esk16_2 @ X2 @ X3) @ X2|~in @ (esk15_2 @ X2 @ X3) @ X3), inference(split_conjunct,[status(thm)],[c_0_113])). 93.80/94.08 thf(c_0_125, negated_conjecture, in @ (esk15_2 @ esk55_0 @ esk54_0) @ esk54_0, inference(spm,[status(thm)],[c_0_122, c_0_123])). 93.80/94.08 thf(c_0_126, negated_conjecture, ~in @ (esk16_2 @ esk55_0 @ esk54_0) @ esk55_0, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_125]), c_0_121])). 93.80/94.08 thf(c_0_127, negated_conjecture, ~in @ (esk16_2 @ esk55_0 @ esk54_0) @ esk54_0, inference(spm,[status(thm)],[c_0_126, c_0_117])). 93.80/94.08 thf(c_0_128, negated_conjecture, ![X2:$i, X3:$i]:(in @ (esk16_2 @ X2 @ X3) @ X3|(X2)=(X3)|~in @ (esk15_2 @ X2 @ X3) @ X3), inference(split_conjunct,[status(thm)],[c_0_113])). 93.80/94.08 thf(c_0_129, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_128]), c_0_125])]), c_0_121]), ['proof']). 93.80/94.08 # SZS output end CNFRefutation 93.80/94.08 # Proof object total steps : 130 93.80/94.08 # Proof object clause steps : 16 93.80/94.08 # Proof object formula steps : 114 93.80/94.08 # Proof object conjectures : 19 93.80/94.08 # Proof object clause conjectures : 16 93.80/94.08 # Proof object formula conjectures : 3 93.80/94.08 # Proof object initial clauses used : 8 93.80/94.08 # Proof object initial formulas used : 93 93.80/94.08 # Proof object generating inferences : 8 93.80/94.08 # Proof object simplifying inferences : 5 93.80/94.08 # Training examples: 0 positive, 0 negative 93.80/94.08 # Parsed axioms : 198 93.80/94.08 # Removed by relevancy pruning/SinE : 0 93.80/94.08 # Initial clauses : 315 93.80/94.08 # Removed in clause preprocessing : 122 93.80/94.08 # Initial clauses in saturation : 193 93.80/94.08 # Processed clauses : 2442 93.80/94.08 # ...of these trivial : 29 93.80/94.08 # ...subsumed : 1271 93.80/94.08 # ...remaining for further processing : 1142 93.80/94.08 # Other redundant clauses eliminated : 3776 93.80/94.08 # Clauses deleted for lack of memory : 0 93.80/94.08 # Backward-subsumed : 172 93.80/94.08 # Backward-rewritten : 65 93.80/94.08 # Generated clauses : 46144 93.80/94.08 # ...of the previous two non-trivial : 37590 93.80/94.08 # Contextual simplify-reflections : 4 93.80/94.08 # Paramodulations : 37146 93.80/94.08 # Factorizations : 18 93.80/94.08 # NegExts : 15 93.80/94.08 # Equation resolutions : 3777 93.80/94.08 # Propositional unsat checks : 0 93.80/94.08 # Propositional check models : 0 93.80/94.08 # Propositional check unsatisfiable : 0 93.80/94.08 # Propositional clauses : 0 93.80/94.08 # Propositional clauses after purity: 0 93.80/94.08 # Propositional unsat core size : 0 93.80/94.08 # Propositional preprocessing time : 0.000 93.80/94.08 # Propositional encoding time : 0.000 93.80/94.08 # Propositional solver time : 0.000 93.80/94.08 # Success case prop preproc time : 0.000 93.80/94.08 # Success case prop encoding time : 0.000 93.80/94.08 # Success case prop solver time : 0.000 93.80/94.08 # Current number of processed clauses : 890 93.80/94.08 # Positive orientable unit clauses : 124 93.80/94.08 # Positive unorientable unit clauses: 0 93.80/94.08 # Negative unit clauses : 11 93.80/94.08 # Non-unit-clauses : 755 93.80/94.08 # Current number of unprocessed clauses: 35210 93.80/94.08 # ...number of literals in the above : 148997 93.80/94.08 # Current number of archived formulas : 0 93.80/94.08 # Current number of archived clauses : 242 93.80/94.08 # Clause-clause subsumption calls (NU) : 208816 93.80/94.08 # Rec. Clause-clause subsumption calls : 152840 93.80/94.08 # Non-unit clause-clause subsumptions : 923 93.80/94.08 # Unit Clause-clause subsumption calls : 3957 93.80/94.08 # Rewrite failures with RHS unbound : 0 93.80/94.08 # BW rewrite match attempts : 2200 93.80/94.08 # BW rewrite match successes : 69 93.80/94.08 # Condensation attempts : 0 93.80/94.08 # Condensation successes : 0 93.80/94.08 # Termbank termtop insertions : 1210619 93.88/94.08 93.88/94.08 # ------------------------------------------------- 93.88/94.08 # User time : 91.667 s 93.88/94.08 # System time : 2.033 s 93.88/94.08 # Total time : 93.700 s 93.88/94.08 # Maximum resident set size: 1852 pages 93.88/94.08 EOF