%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM456+6 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:57:24 PM UTC 2026
% Result : Theorem 0.44s 5.62s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 109)
% Comments :
%------------------------------------------------------------------------------
fof(m__2144,hypothesis,
( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) )
& isOpen0(stldt0(sbsmnsldt0(xS)))
& isClosed0(sbsmnsldt0(xS))
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2144) ).
fof(mComplement,axiom,
! [X1] :
( aSubsetOf0(X1,cS1395)
=> ! [X2] :
( X2 = stldt0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& ~ aElementOf0(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mComplement) ).
fof(m__2171,hypothesis,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
| aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2171) ).
fof(m__2079,hypothesis,
( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( X1 = sz10
| X1 = smndt0(sz10) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2079) ).
fof(mIntersection,axiom,
! [X1,X2] :
( ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X2,cS1395) )
=> ! [X3] :
( X3 = sdtslmnbsdt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aInteger0(X4)
& aElementOf0(X4,X1)
& aElementOf0(X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntersection) ).
fof(mArSeq,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> ! [X3] :
( X3 = szAzrzSzezqlpdtcmdtrp0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aInteger0(X4)
& sdteqdtlpzmzozddtrp0(X4,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArSeq) ).
fof(mUnion,axiom,
! [X1,X2] :
( ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X2,cS1395) )
=> ! [X3] :
( X3 = sdtbsmnsldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aInteger0(X4)
& ( aElementOf0(X4,X1)
| aElementOf0(X4,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnion) ).
fof(mEquModTrn,axiom,
! [X1,X2,X3,X4] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00
& aInteger0(X4) )
=> ( ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
& sdteqdtlpzmzozddtrp0(X2,X4,X3) )
=> sdteqdtlpzmzozddtrp0(X1,X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModTrn) ).
fof(mUnionSet,axiom,
! [X1] :
( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aSubsetOf0(X2,cS1395) ) )
=> ! [X2] :
( X2 = sbsmnsldt0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& ? [X4] :
( aElementOf0(X4,X1)
& aElementOf0(X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnionSet) ).
fof(m__2046,hypothesis,
( aSet0(xS)
& ! [X1] :
( ( aElementOf0(X1,xS)
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& isPrime0(X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ) )
& szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X1 ) )
& ( ? [X2] :
( aInteger0(X2)
& X2 != sz00
& isPrime0(X2)
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ) ) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X1 ) )
=> aElementOf0(X1,xS) ) )
& xS = cS2043 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2046) ).
fof(mEquModMul,axiom,
! [X1,X2,X3,X4] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00
& aInteger0(X4)
& X4 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,sdtasdt0(X3,X4))
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
& sdteqdtlpzmzozddtrp0(X1,X2,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModMul) ).
fof(mEquModSym,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
=> sdteqdtlpzmzozddtrp0(X2,X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModSym) ).
fof(mEquMod,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
<=> aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquMod) ).
fof(mOpen,axiom,
! [X1] :
( aSubsetOf0(X1,cS1395)
=> ( isOpen0(X1)
<=> ! [X2] :
( aElementOf0(X2,X1)
=> ? [X3] :
( aInteger0(X3)
& X3 != sz00
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mOpen) ).
fof(mDistrib,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistrib) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(mSubset,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubset) ).
fof(mUnionClosed,axiom,
! [X1,X2] :
( ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X2,cS1395)
& isClosed0(X1)
& isClosed0(X2) )
=> isClosed0(sdtbsmnsldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnionClosed) ).
fof(mInterOpen,axiom,
! [X1,X2] :
( ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X2,cS1395)
& isOpen0(X1)
& isOpen0(X2) )
=> isOpen0(sdtslmnbsdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mInterOpen) ).
fof(mUnionSClosed,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( aSubsetOf0(X2,cS1395)
& isClosed0(X2) ) ) )
=> isClosed0(sbsmnsldt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnionSClosed) ).
fof(mDivisor,axiom,
! [X1] :
( aInteger0(X1)
=> ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( aInteger0(X2)
& X2 != sz00
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X2,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivisor) ).
fof(mEquModRef,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> sdteqdtlpzmzozddtrp0(X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModRef) ).
fof(mUnionOpen,axiom,
! [X1] :
( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( aSubsetOf0(X2,cS1395)
& isOpen0(X2) ) ) )
=> isOpen0(sbsmnsldt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnionOpen) ).
fof(mArSeqClosed,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),cS1395)
& isClosed0(szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArSeqClosed) ).
fof(m__2203,hypothesis,
? [X1] :
( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X1,sz10,xp)
& aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ~ ( X1 = sz10
| X1 = smndt0(sz10)
| aElementOf0(X1,cS2200) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2203) ).
fof(mIntMult,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).
fof(mIntPlus,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntPlus) ).
fof(mPrimeDivisor,axiom,
! [X1] :
( aInteger0(X1)
=> ( ? [X2] :
( aDivisorOf0(X2,X1)
& isPrime0(X2) )
<=> ( X1 != sz10
& X1 != smndt0(sz10) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPrimeDivisor) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(mClosed,axiom,
! [X1] :
( aSubsetOf0(X1,cS1395)
=> ( isClosed0(X1)
<=> isOpen0(stldt0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mClosed) ).
fof(mZeroDiv,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroDiv) ).
fof(mMulMinOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMinOne) ).
fof(mAddNeg,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
fof(mMulOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).
fof(mAddZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(mMulZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(mIntNeg,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(m__2117,hypothesis,
isFinite0(xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2117) ).
fof(mIntOne,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
fof(mIntZero,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
fof(i_0_42,hypothesis,
( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) )
& isOpen0(stldt0(sbsmnsldt0(xS)))
& isClosed0(sbsmnsldt0(xS))
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) ) ),
inference(fof_simplification,[status(thm)],[m__2144]) ).
fof(i_0_43,plain,
! [X1] :
( aSubsetOf0(X1,cS1395)
=> ! [X2] :
( X2 = stldt0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& ~ aElementOf0(X3,X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[mComplement]) ).
fof(i_0_44,hypothesis,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
| aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(fof_simplification,[status(thm)],[m__2171]) ).
fof(i_0_45,hypothesis,
( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( X1 = sz10
| X1 = smndt0(sz10) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ),
inference(fof_simplification,[status(thm)],[m__2079]) ).
fof(i_0_46,plain,
! [X195,X196,X197,X198,X199,X200] :
( ( aSet0(X197)
| X197 != sdtslmnbsdt0(X195,X196)
| ~ aSubsetOf0(X195,cS1395)
| ~ aSubsetOf0(X196,cS1395) )
& ( aInteger0(X198)
| ~ aElementOf0(X198,X197)
| X197 != sdtslmnbsdt0(X195,X196)
| ~ aSubsetOf0(X195,cS1395)
| ~ aSubsetOf0(X196,cS1395) )
& ( aElementOf0(X198,X195)
| ~ aElementOf0(X198,X197)
| X197 != sdtslmnbsdt0(X195,X196)
| ~ aSubsetOf0(X195,cS1395)
| ~ aSubsetOf0(X196,cS1395) )
& ( aElementOf0(X198,X196)
| ~ aElementOf0(X198,X197)
| X197 != sdtslmnbsdt0(X195,X196)
| ~ aSubsetOf0(X195,cS1395)
| ~ aSubsetOf0(X196,cS1395) )
& ( ~ aInteger0(X199)
| ~ aElementOf0(X199,X195)
| ~ aElementOf0(X199,X196)
| aElementOf0(X199,X197)
| X197 != sdtslmnbsdt0(X195,X196)
| ~ aSubsetOf0(X195,cS1395)
| ~ aSubsetOf0(X196,cS1395) )
& ( ~ aElementOf0(esk5_3(X195,X196,X200),X200)
| ~ aInteger0(esk5_3(X195,X196,X200))
| ~ aElementOf0(esk5_3(X195,X196,X200),X195)
| ~ aElementOf0(esk5_3(X195,X196,X200),X196)
| ~ aSet0(X200)
| X200 = sdtslmnbsdt0(X195,X196)
| ~ aSubsetOf0(X195,cS1395)
| ~ aSubsetOf0(X196,cS1395) )
& ( aInteger0(esk5_3(X195,X196,X200))
| aElementOf0(esk5_3(X195,X196,X200),X200)
| ~ aSet0(X200)
| X200 = sdtslmnbsdt0(X195,X196)
| ~ aSubsetOf0(X195,cS1395)
| ~ aSubsetOf0(X196,cS1395) )
& ( aElementOf0(esk5_3(X195,X196,X200),X195)
| aElementOf0(esk5_3(X195,X196,X200),X200)
| ~ aSet0(X200)
| X200 = sdtslmnbsdt0(X195,X196)
| ~ aSubsetOf0(X195,cS1395)
| ~ aSubsetOf0(X196,cS1395) )
& ( aElementOf0(esk5_3(X195,X196,X200),X196)
| aElementOf0(esk5_3(X195,X196,X200),X200)
| ~ aSet0(X200)
| X200 = sdtslmnbsdt0(X195,X196)
| ~ aSubsetOf0(X195,cS1395)
| ~ aSubsetOf0(X196,cS1395) ) ),
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)],[mIntersection])])])])])]) ).
fof(i_0_47,plain,
! [X219,X220,X221,X222,X223,X224] :
( ( aSet0(X221)
| X221 != szAzrzSzezqlpdtcmdtrp0(X219,X220)
| ~ aInteger0(X219)
| ~ aInteger0(X220)
| X220 = sz00 )
& ( aInteger0(X222)
| ~ aElementOf0(X222,X221)
| X221 != szAzrzSzezqlpdtcmdtrp0(X219,X220)
| ~ aInteger0(X219)
| ~ aInteger0(X220)
| X220 = sz00 )
& ( sdteqdtlpzmzozddtrp0(X222,X219,X220)
| ~ aElementOf0(X222,X221)
| X221 != szAzrzSzezqlpdtcmdtrp0(X219,X220)
| ~ aInteger0(X219)
| ~ aInteger0(X220)
| X220 = sz00 )
& ( ~ aInteger0(X223)
| ~ sdteqdtlpzmzozddtrp0(X223,X219,X220)
| aElementOf0(X223,X221)
| X221 != szAzrzSzezqlpdtcmdtrp0(X219,X220)
| ~ aInteger0(X219)
| ~ aInteger0(X220)
| X220 = sz00 )
& ( ~ aElementOf0(esk11_3(X219,X220,X224),X224)
| ~ aInteger0(esk11_3(X219,X220,X224))
| ~ sdteqdtlpzmzozddtrp0(esk11_3(X219,X220,X224),X219,X220)
| ~ aSet0(X224)
| X224 = szAzrzSzezqlpdtcmdtrp0(X219,X220)
| ~ aInteger0(X219)
| ~ aInteger0(X220)
| X220 = sz00 )
& ( aInteger0(esk11_3(X219,X220,X224))
| aElementOf0(esk11_3(X219,X220,X224),X224)
| ~ aSet0(X224)
| X224 = szAzrzSzezqlpdtcmdtrp0(X219,X220)
| ~ aInteger0(X219)
| ~ aInteger0(X220)
| X220 = sz00 )
& ( sdteqdtlpzmzozddtrp0(esk11_3(X219,X220,X224),X219,X220)
| aElementOf0(esk11_3(X219,X220,X224),X224)
| ~ aSet0(X224)
| X224 = szAzrzSzezqlpdtcmdtrp0(X219,X220)
| ~ aInteger0(X219)
| ~ aInteger0(X220)
| X220 = sz00 ) ),
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)],[mArSeq])])])])])]) ).
fof(i_0_48,plain,
! [X188,X189,X190,X191,X192,X193] :
( ( aSet0(X190)
| X190 != sdtbsmnsldt0(X188,X189)
| ~ aSubsetOf0(X188,cS1395)
| ~ aSubsetOf0(X189,cS1395) )
& ( aInteger0(X191)
| ~ aElementOf0(X191,X190)
| X190 != sdtbsmnsldt0(X188,X189)
| ~ aSubsetOf0(X188,cS1395)
| ~ aSubsetOf0(X189,cS1395) )
& ( aElementOf0(X191,X188)
| aElementOf0(X191,X189)
| ~ aElementOf0(X191,X190)
| X190 != sdtbsmnsldt0(X188,X189)
| ~ aSubsetOf0(X188,cS1395)
| ~ aSubsetOf0(X189,cS1395) )
& ( ~ aElementOf0(X192,X188)
| ~ aInteger0(X192)
| aElementOf0(X192,X190)
| X190 != sdtbsmnsldt0(X188,X189)
| ~ aSubsetOf0(X188,cS1395)
| ~ aSubsetOf0(X189,cS1395) )
& ( ~ aElementOf0(X192,X189)
| ~ aInteger0(X192)
| aElementOf0(X192,X190)
| X190 != sdtbsmnsldt0(X188,X189)
| ~ aSubsetOf0(X188,cS1395)
| ~ aSubsetOf0(X189,cS1395) )
& ( ~ aElementOf0(esk4_3(X188,X189,X193),X188)
| ~ aInteger0(esk4_3(X188,X189,X193))
| ~ aElementOf0(esk4_3(X188,X189,X193),X193)
| ~ aSet0(X193)
| X193 = sdtbsmnsldt0(X188,X189)
| ~ aSubsetOf0(X188,cS1395)
| ~ aSubsetOf0(X189,cS1395) )
& ( ~ aElementOf0(esk4_3(X188,X189,X193),X189)
| ~ aInteger0(esk4_3(X188,X189,X193))
| ~ aElementOf0(esk4_3(X188,X189,X193),X193)
| ~ aSet0(X193)
| X193 = sdtbsmnsldt0(X188,X189)
| ~ aSubsetOf0(X188,cS1395)
| ~ aSubsetOf0(X189,cS1395) )
& ( aInteger0(esk4_3(X188,X189,X193))
| aElementOf0(esk4_3(X188,X189,X193),X193)
| ~ aSet0(X193)
| X193 = sdtbsmnsldt0(X188,X189)
| ~ aSubsetOf0(X188,cS1395)
| ~ aSubsetOf0(X189,cS1395) )
& ( aElementOf0(esk4_3(X188,X189,X193),X188)
| aElementOf0(esk4_3(X188,X189,X193),X189)
| aElementOf0(esk4_3(X188,X189,X193),X193)
| ~ aSet0(X193)
| X193 = sdtbsmnsldt0(X188,X189)
| ~ aSubsetOf0(X188,cS1395)
| ~ aSubsetOf0(X189,cS1395) ) ),
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)],[mUnion])])])])])]) ).
fof(i_0_49,plain,
! [X172,X173,X174,X175] :
( ~ aInteger0(X172)
| ~ aInteger0(X173)
| ~ aInteger0(X174)
| X174 = sz00
| ~ aInteger0(X175)
| ~ sdteqdtlpzmzozddtrp0(X172,X173,X174)
| ~ sdteqdtlpzmzozddtrp0(X173,X175,X174)
| sdteqdtlpzmzozddtrp0(X172,X175,X174) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquModTrn])]) ).
fof(i_0_50,plain,
! [X202,X204,X205,X207,X208,X209,X211] :
( ( aSet0(X204)
| X204 != sbsmnsldt0(X202)
| aElementOf0(esk6_1(X202),X202)
| ~ aSet0(X202) )
& ( aInteger0(X205)
| ~ aElementOf0(X205,X204)
| X204 != sbsmnsldt0(X202)
| aElementOf0(esk6_1(X202),X202)
| ~ aSet0(X202) )
& ( aElementOf0(esk7_3(X202,X204,X205),X202)
| ~ aElementOf0(X205,X204)
| X204 != sbsmnsldt0(X202)
| aElementOf0(esk6_1(X202),X202)
| ~ aSet0(X202) )
& ( aElementOf0(X205,esk7_3(X202,X204,X205))
| ~ aElementOf0(X205,X204)
| X204 != sbsmnsldt0(X202)
| aElementOf0(esk6_1(X202),X202)
| ~ aSet0(X202) )
& ( ~ aInteger0(X207)
| ~ aElementOf0(X208,X202)
| ~ aElementOf0(X207,X208)
| aElementOf0(X207,X204)
| X204 != sbsmnsldt0(X202)
| aElementOf0(esk6_1(X202),X202)
| ~ aSet0(X202) )
& ( ~ aElementOf0(esk8_2(X202,X209),X209)
| ~ aInteger0(esk8_2(X202,X209))
| ~ aElementOf0(X211,X202)
| ~ aElementOf0(esk8_2(X202,X209),X211)
| ~ aSet0(X209)
| X209 = sbsmnsldt0(X202)
| aElementOf0(esk6_1(X202),X202)
| ~ aSet0(X202) )
& ( aInteger0(esk8_2(X202,X209))
| aElementOf0(esk8_2(X202,X209),X209)
| ~ aSet0(X209)
| X209 = sbsmnsldt0(X202)
| aElementOf0(esk6_1(X202),X202)
| ~ aSet0(X202) )
& ( aElementOf0(esk9_2(X202,X209),X202)
| aElementOf0(esk8_2(X202,X209),X209)
| ~ aSet0(X209)
| X209 = sbsmnsldt0(X202)
| aElementOf0(esk6_1(X202),X202)
| ~ aSet0(X202) )
& ( aElementOf0(esk8_2(X202,X209),esk9_2(X202,X209))
| aElementOf0(esk8_2(X202,X209),X209)
| ~ aSet0(X209)
| X209 = sbsmnsldt0(X202)
| aElementOf0(esk6_1(X202),X202)
| ~ aSet0(X202) )
& ( aSet0(X204)
| X204 != sbsmnsldt0(X202)
| ~ aSubsetOf0(esk6_1(X202),cS1395)
| ~ aSet0(X202) )
& ( aInteger0(X205)
| ~ aElementOf0(X205,X204)
| X204 != sbsmnsldt0(X202)
| ~ aSubsetOf0(esk6_1(X202),cS1395)
| ~ aSet0(X202) )
& ( aElementOf0(esk7_3(X202,X204,X205),X202)
| ~ aElementOf0(X205,X204)
| X204 != sbsmnsldt0(X202)
| ~ aSubsetOf0(esk6_1(X202),cS1395)
| ~ aSet0(X202) )
& ( aElementOf0(X205,esk7_3(X202,X204,X205))
| ~ aElementOf0(X205,X204)
| X204 != sbsmnsldt0(X202)
| ~ aSubsetOf0(esk6_1(X202),cS1395)
| ~ aSet0(X202) )
& ( ~ aInteger0(X207)
| ~ aElementOf0(X208,X202)
| ~ aElementOf0(X207,X208)
| aElementOf0(X207,X204)
| X204 != sbsmnsldt0(X202)
| ~ aSubsetOf0(esk6_1(X202),cS1395)
| ~ aSet0(X202) )
& ( ~ aElementOf0(esk8_2(X202,X209),X209)
| ~ aInteger0(esk8_2(X202,X209))
| ~ aElementOf0(X211,X202)
| ~ aElementOf0(esk8_2(X202,X209),X211)
| ~ aSet0(X209)
| X209 = sbsmnsldt0(X202)
| ~ aSubsetOf0(esk6_1(X202),cS1395)
| ~ aSet0(X202) )
& ( aInteger0(esk8_2(X202,X209))
| aElementOf0(esk8_2(X202,X209),X209)
| ~ aSet0(X209)
| X209 = sbsmnsldt0(X202)
| ~ aSubsetOf0(esk6_1(X202),cS1395)
| ~ aSet0(X202) )
& ( aElementOf0(esk9_2(X202,X209),X202)
| aElementOf0(esk8_2(X202,X209),X209)
| ~ aSet0(X209)
| X209 = sbsmnsldt0(X202)
| ~ aSubsetOf0(esk6_1(X202),cS1395)
| ~ aSet0(X202) )
& ( aElementOf0(esk8_2(X202,X209),esk9_2(X202,X209))
| aElementOf0(esk8_2(X202,X209),X209)
| ~ aSet0(X209)
| X209 = sbsmnsldt0(X202)
| ~ aSubsetOf0(esk6_1(X202),cS1395)
| ~ aSet0(X202) ) ),
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)],[mUnionSet])])])])])]) ).
fof(i_0_51,hypothesis,
! [X242,X244,X246,X247,X248,X249,X250,X252,X253] :
( aSet0(xS)
& ( aInteger0(esk16_1(X242))
| ~ aElementOf0(X242,xS) )
& ( esk16_1(X242) != sz00
| ~ aElementOf0(X242,xS) )
& ( isPrime0(esk16_1(X242))
| ~ aElementOf0(X242,xS) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X242)))
| ~ aElementOf0(X242,xS) )
& ( aInteger0(X244)
| ~ aElementOf0(X244,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X242)))
| ~ aElementOf0(X242,xS) )
& ( aInteger0(esk17_2(X242,X244))
| ~ aElementOf0(X244,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X242)))
| ~ aElementOf0(X242,xS) )
& ( sdtasdt0(esk16_1(X242),esk17_2(X242,X244)) = sdtpldt0(X244,smndt0(sz00))
| ~ aElementOf0(X244,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X242)))
| ~ aElementOf0(X242,xS) )
& ( aDivisorOf0(esk16_1(X242),sdtpldt0(X244,smndt0(sz00)))
| ~ aElementOf0(X244,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X242)))
| ~ aElementOf0(X242,xS) )
& ( sdteqdtlpzmzozddtrp0(X244,sz00,esk16_1(X242))
| ~ aElementOf0(X244,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X242)))
| ~ aElementOf0(X242,xS) )
& ( ~ aInteger0(X247)
| sdtasdt0(esk16_1(X242),X247) != sdtpldt0(X246,smndt0(sz00))
| ~ aInteger0(X246)
| aElementOf0(X246,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X242)))
| ~ aElementOf0(X242,xS) )
& ( ~ aDivisorOf0(esk16_1(X242),sdtpldt0(X246,smndt0(sz00)))
| ~ aInteger0(X246)
| aElementOf0(X246,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X242)))
| ~ aElementOf0(X242,xS) )
& ( ~ sdteqdtlpzmzozddtrp0(X246,sz00,esk16_1(X242))
| ~ aInteger0(X246)
| aElementOf0(X246,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X242)))
| ~ aElementOf0(X242,xS) )
& ( szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X242)) = X242
| ~ aElementOf0(X242,xS) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X249))
| ~ aInteger0(X249)
| X249 = sz00
| ~ isPrime0(X249)
| aElementOf0(X248,xS) )
& ( aInteger0(X250)
| ~ aElementOf0(X250,szAzrzSzezqlpdtcmdtrp0(sz00,X249))
| ~ aInteger0(X249)
| X249 = sz00
| ~ isPrime0(X249)
| aElementOf0(X248,xS) )
& ( aInteger0(esk18_3(X248,X249,X250))
| ~ aElementOf0(X250,szAzrzSzezqlpdtcmdtrp0(sz00,X249))
| ~ aInteger0(X249)
| X249 = sz00
| ~ isPrime0(X249)
| aElementOf0(X248,xS) )
& ( sdtasdt0(X249,esk18_3(X248,X249,X250)) = sdtpldt0(X250,smndt0(sz00))
| ~ aElementOf0(X250,szAzrzSzezqlpdtcmdtrp0(sz00,X249))
| ~ aInteger0(X249)
| X249 = sz00
| ~ isPrime0(X249)
| aElementOf0(X248,xS) )
& ( aDivisorOf0(X249,sdtpldt0(X250,smndt0(sz00)))
| ~ aElementOf0(X250,szAzrzSzezqlpdtcmdtrp0(sz00,X249))
| ~ aInteger0(X249)
| X249 = sz00
| ~ isPrime0(X249)
| aElementOf0(X248,xS) )
& ( sdteqdtlpzmzozddtrp0(X250,sz00,X249)
| ~ aElementOf0(X250,szAzrzSzezqlpdtcmdtrp0(sz00,X249))
| ~ aInteger0(X249)
| X249 = sz00
| ~ isPrime0(X249)
| aElementOf0(X248,xS) )
& ( ~ aInteger0(X253)
| sdtasdt0(X249,X253) != sdtpldt0(X252,smndt0(sz00))
| ~ aInteger0(X252)
| aElementOf0(X252,szAzrzSzezqlpdtcmdtrp0(sz00,X249))
| ~ aInteger0(X249)
| X249 = sz00
| ~ isPrime0(X249)
| aElementOf0(X248,xS) )
& ( ~ aDivisorOf0(X249,sdtpldt0(X252,smndt0(sz00)))
| ~ aInteger0(X252)
| aElementOf0(X252,szAzrzSzezqlpdtcmdtrp0(sz00,X249))
| ~ aInteger0(X249)
| X249 = sz00
| ~ isPrime0(X249)
| aElementOf0(X248,xS) )
& ( ~ sdteqdtlpzmzozddtrp0(X252,sz00,X249)
| ~ aInteger0(X252)
| aElementOf0(X252,szAzrzSzezqlpdtcmdtrp0(sz00,X249))
| ~ aInteger0(X249)
| X249 = sz00
| ~ isPrime0(X249)
| aElementOf0(X248,xS) )
& ( szAzrzSzezqlpdtcmdtrp0(sz00,X249) != X248
| ~ aInteger0(X249)
| X249 = sz00
| ~ isPrime0(X249)
| aElementOf0(X248,xS) )
& xS = cS2043 ),
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)],[m__2046])])])])])]) ).
fof(i_0_52,plain,
! [X176,X177,X178,X179] :
( ( sdteqdtlpzmzozddtrp0(X176,X177,X178)
| ~ sdteqdtlpzmzozddtrp0(X176,X177,sdtasdt0(X178,X179))
| ~ aInteger0(X176)
| ~ aInteger0(X177)
| ~ aInteger0(X178)
| X178 = sz00
| ~ aInteger0(X179)
| X179 = sz00 )
& ( sdteqdtlpzmzozddtrp0(X176,X177,X179)
| ~ sdteqdtlpzmzozddtrp0(X176,X177,sdtasdt0(X178,X179))
| ~ aInteger0(X176)
| ~ aInteger0(X177)
| ~ aInteger0(X178)
| X178 = sz00
| ~ aInteger0(X179)
| X179 = sz00 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquModMul])])]) ).
fof(i_0_53,hypothesis,
! [X260,X262,X263,X264,X265,X267,X269,X270,X271,X272,X274,X275,X276,X277,X279,X281,X282,X283] :
( aSet0(sbsmnsldt0(xS))
& ( aInteger0(X260)
| ~ aElementOf0(X260,sbsmnsldt0(xS)) )
& ( aElementOf0(esk20_1(X260),xS)
| ~ aElementOf0(X260,sbsmnsldt0(xS)) )
& ( aElementOf0(X260,esk20_1(X260))
| ~ aElementOf0(X260,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X262)
| ~ aElementOf0(X263,xS)
| ~ aElementOf0(X262,X263)
| aElementOf0(X262,sbsmnsldt0(xS)) )
& ( aInteger0(X264)
| ~ aElementOf0(X264,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X264,sbsmnsldt0(xS))
| ~ aElementOf0(X264,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X264)
| aElementOf0(X264,sbsmnsldt0(xS))
| aElementOf0(X264,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(esk21_1(X265))
| ~ aElementOf0(X265,stldt0(sbsmnsldt0(xS))) )
& ( esk21_1(X265) != sz00
| ~ aElementOf0(X265,stldt0(sbsmnsldt0(xS))) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X265,esk21_1(X265)))
| ~ aElementOf0(X265,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(X267)
| ~ aElementOf0(X267,szAzrzSzezqlpdtcmdtrp0(X265,esk21_1(X265)))
| ~ aElementOf0(X265,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(esk22_2(X265,X267))
| ~ aElementOf0(X267,szAzrzSzezqlpdtcmdtrp0(X265,esk21_1(X265)))
| ~ aElementOf0(X265,stldt0(sbsmnsldt0(xS))) )
& ( sdtasdt0(esk21_1(X265),esk22_2(X265,X267)) = sdtpldt0(X267,smndt0(X265))
| ~ aElementOf0(X267,szAzrzSzezqlpdtcmdtrp0(X265,esk21_1(X265)))
| ~ aElementOf0(X265,stldt0(sbsmnsldt0(xS))) )
& ( aDivisorOf0(esk21_1(X265),sdtpldt0(X267,smndt0(X265)))
| ~ aElementOf0(X267,szAzrzSzezqlpdtcmdtrp0(X265,esk21_1(X265)))
| ~ aElementOf0(X265,stldt0(sbsmnsldt0(xS))) )
& ( sdteqdtlpzmzozddtrp0(X267,X265,esk21_1(X265))
| ~ aElementOf0(X267,szAzrzSzezqlpdtcmdtrp0(X265,esk21_1(X265)))
| ~ aElementOf0(X265,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X270)
| sdtasdt0(esk21_1(X265),X270) != sdtpldt0(X269,smndt0(X265))
| ~ aInteger0(X269)
| aElementOf0(X269,szAzrzSzezqlpdtcmdtrp0(X265,esk21_1(X265)))
| ~ aElementOf0(X265,stldt0(sbsmnsldt0(xS))) )
& ( ~ aDivisorOf0(esk21_1(X265),sdtpldt0(X269,smndt0(X265)))
| ~ aInteger0(X269)
| aElementOf0(X269,szAzrzSzezqlpdtcmdtrp0(X265,esk21_1(X265)))
| ~ aElementOf0(X265,stldt0(sbsmnsldt0(xS))) )
& ( ~ sdteqdtlpzmzozddtrp0(X269,X265,esk21_1(X265))
| ~ aInteger0(X269)
| aElementOf0(X269,szAzrzSzezqlpdtcmdtrp0(X265,esk21_1(X265)))
| ~ aElementOf0(X265,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X271,szAzrzSzezqlpdtcmdtrp0(X265,esk21_1(X265)))
| aElementOf0(X271,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X265,stldt0(sbsmnsldt0(xS))) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X265,esk21_1(X265)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X265,stldt0(sbsmnsldt0(xS))) )
& isOpen0(stldt0(sbsmnsldt0(xS)))
& isClosed0(sbsmnsldt0(xS))
& aSet0(sbsmnsldt0(xS))
& ( aInteger0(X272)
| ~ aElementOf0(X272,sbsmnsldt0(xS)) )
& ( aElementOf0(esk23_1(X272),xS)
| ~ aElementOf0(X272,sbsmnsldt0(xS)) )
& ( aElementOf0(X272,esk23_1(X272))
| ~ aElementOf0(X272,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X274)
| ~ aElementOf0(X275,xS)
| ~ aElementOf0(X274,X275)
| aElementOf0(X274,sbsmnsldt0(xS)) )
& ( aInteger0(X276)
| ~ aElementOf0(X276,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X276,sbsmnsldt0(xS))
| ~ aElementOf0(X276,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X276)
| aElementOf0(X276,sbsmnsldt0(xS))
| aElementOf0(X276,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(esk24_1(X277))
| ~ aElementOf0(X277,stldt0(sbsmnsldt0(xS))) )
& ( esk24_1(X277) != sz00
| ~ aElementOf0(X277,stldt0(sbsmnsldt0(xS))) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X277,esk24_1(X277)))
| ~ aElementOf0(X277,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(X279)
| ~ aElementOf0(X279,szAzrzSzezqlpdtcmdtrp0(X277,esk24_1(X277)))
| ~ aElementOf0(X277,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(esk25_2(X277,X279))
| ~ aElementOf0(X279,szAzrzSzezqlpdtcmdtrp0(X277,esk24_1(X277)))
| ~ aElementOf0(X277,stldt0(sbsmnsldt0(xS))) )
& ( sdtasdt0(esk24_1(X277),esk25_2(X277,X279)) = sdtpldt0(X279,smndt0(X277))
| ~ aElementOf0(X279,szAzrzSzezqlpdtcmdtrp0(X277,esk24_1(X277)))
| ~ aElementOf0(X277,stldt0(sbsmnsldt0(xS))) )
& ( aDivisorOf0(esk24_1(X277),sdtpldt0(X279,smndt0(X277)))
| ~ aElementOf0(X279,szAzrzSzezqlpdtcmdtrp0(X277,esk24_1(X277)))
| ~ aElementOf0(X277,stldt0(sbsmnsldt0(xS))) )
& ( sdteqdtlpzmzozddtrp0(X279,X277,esk24_1(X277))
| ~ aElementOf0(X279,szAzrzSzezqlpdtcmdtrp0(X277,esk24_1(X277)))
| ~ aElementOf0(X277,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X282)
| sdtasdt0(esk24_1(X277),X282) != sdtpldt0(X281,smndt0(X277))
| ~ aInteger0(X281)
| aElementOf0(X281,szAzrzSzezqlpdtcmdtrp0(X277,esk24_1(X277)))
| ~ aElementOf0(X277,stldt0(sbsmnsldt0(xS))) )
& ( ~ aDivisorOf0(esk24_1(X277),sdtpldt0(X281,smndt0(X277)))
| ~ aInteger0(X281)
| aElementOf0(X281,szAzrzSzezqlpdtcmdtrp0(X277,esk24_1(X277)))
| ~ aElementOf0(X277,stldt0(sbsmnsldt0(xS))) )
& ( ~ sdteqdtlpzmzozddtrp0(X281,X277,esk24_1(X277))
| ~ aInteger0(X281)
| aElementOf0(X281,szAzrzSzezqlpdtcmdtrp0(X277,esk24_1(X277)))
| ~ aElementOf0(X277,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X283,szAzrzSzezqlpdtcmdtrp0(X277,esk24_1(X277)))
| aElementOf0(X283,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X277,stldt0(sbsmnsldt0(xS))) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X277,esk24_1(X277)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X277,stldt0(sbsmnsldt0(xS))) ) ),
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)],[i_0_42])])])])])]) ).
fof(i_0_54,plain,
! [X213,X214,X215,X216,X217] :
( ( aSet0(X214)
| X214 != stldt0(X213)
| ~ aSubsetOf0(X213,cS1395) )
& ( aInteger0(X215)
| ~ aElementOf0(X215,X214)
| X214 != stldt0(X213)
| ~ aSubsetOf0(X213,cS1395) )
& ( ~ aElementOf0(X215,X213)
| ~ aElementOf0(X215,X214)
| X214 != stldt0(X213)
| ~ aSubsetOf0(X213,cS1395) )
& ( ~ aInteger0(X216)
| aElementOf0(X216,X213)
| aElementOf0(X216,X214)
| X214 != stldt0(X213)
| ~ aSubsetOf0(X213,cS1395) )
& ( ~ aElementOf0(esk10_2(X213,X217),X217)
| ~ aInteger0(esk10_2(X213,X217))
| aElementOf0(esk10_2(X213,X217),X213)
| ~ aSet0(X217)
| X217 = stldt0(X213)
| ~ aSubsetOf0(X213,cS1395) )
& ( aInteger0(esk10_2(X213,X217))
| aElementOf0(esk10_2(X213,X217),X217)
| ~ aSet0(X217)
| X217 = stldt0(X213)
| ~ aSubsetOf0(X213,cS1395) )
& ( ~ aElementOf0(esk10_2(X213,X217),X213)
| aElementOf0(esk10_2(X213,X217),X217)
| ~ aSet0(X217)
| X217 = stldt0(X213)
| ~ aSubsetOf0(X213,cS1395) ) ),
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)],[i_0_43])])])])])]) ).
fof(i_0_55,plain,
! [X169,X170,X171] :
( ~ aInteger0(X169)
| ~ aInteger0(X170)
| ~ aInteger0(X171)
| X171 = sz00
| ~ sdteqdtlpzmzozddtrp0(X169,X170,X171)
| sdteqdtlpzmzozddtrp0(X170,X169,X171) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquModSym])]) ).
fof(i_0_56,plain,
! [X164,X165,X166] :
( ( ~ sdteqdtlpzmzozddtrp0(X164,X165,X166)
| aDivisorOf0(X166,sdtpldt0(X164,smndt0(X165)))
| ~ aInteger0(X164)
| ~ aInteger0(X165)
| ~ aInteger0(X166)
| X166 = sz00 )
& ( ~ aDivisorOf0(X166,sdtpldt0(X164,smndt0(X165)))
| sdteqdtlpzmzozddtrp0(X164,X165,X166)
| ~ aInteger0(X164)
| ~ aInteger0(X165)
| ~ aInteger0(X166)
| X166 = sz00 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquMod])])]) ).
fof(i_0_57,plain,
! [X226,X227,X230] :
( ( aInteger0(esk12_2(X226,X227))
| ~ aElementOf0(X227,X226)
| ~ isOpen0(X226)
| ~ aSubsetOf0(X226,cS1395) )
& ( esk12_2(X226,X227) != sz00
| ~ aElementOf0(X227,X226)
| ~ isOpen0(X226)
| ~ aSubsetOf0(X226,cS1395) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X227,esk12_2(X226,X227)),X226)
| ~ aElementOf0(X227,X226)
| ~ isOpen0(X226)
| ~ aSubsetOf0(X226,cS1395) )
& ( aElementOf0(esk13_1(X226),X226)
| isOpen0(X226)
| ~ aSubsetOf0(X226,cS1395) )
& ( ~ aInteger0(X230)
| X230 = sz00
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk13_1(X226),X230),X226)
| isOpen0(X226)
| ~ aSubsetOf0(X226,cS1395) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mOpen])])])])]) ).
fof(i_0_58,plain,
! [X152,X153,X154] :
( ( sdtasdt0(X152,sdtpldt0(X153,X154)) = sdtpldt0(sdtasdt0(X152,X153),sdtasdt0(X152,X154))
| ~ aInteger0(X152)
| ~ aInteger0(X153)
| ~ aInteger0(X154) )
& ( sdtasdt0(sdtpldt0(X152,X153),X154) = sdtpldt0(sdtasdt0(X152,X154),sdtasdt0(X153,X154))
| ~ aInteger0(X152)
| ~ aInteger0(X153)
| ~ aInteger0(X154) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistrib])])]) ).
fof(i_0_59,hypothesis,
! [X284,X286,X287,X288,X290,X291,X292,X293] :
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ( aInteger0(X284)
| ~ aElementOf0(X284,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aInteger0(esk26_1(X284))
| ~ aElementOf0(X284,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( sdtasdt0(xp,esk26_1(X284)) = sdtpldt0(X284,smndt0(sz10))
| ~ aElementOf0(X284,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aDivisorOf0(xp,sdtpldt0(X284,smndt0(sz10)))
| ~ aElementOf0(X284,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( sdteqdtlpzmzozddtrp0(X284,sz10,xp)
| ~ aElementOf0(X284,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ aInteger0(X287)
| sdtasdt0(xp,X287) != sdtpldt0(X286,smndt0(sz10))
| ~ aInteger0(X286)
| aElementOf0(X286,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ aDivisorOf0(xp,sdtpldt0(X286,smndt0(sz10)))
| ~ aInteger0(X286)
| aElementOf0(X286,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ sdteqdtlpzmzozddtrp0(X286,sz10,xp)
| ~ aInteger0(X286)
| aElementOf0(X286,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& aSet0(sbsmnsldt0(xS))
& ( aInteger0(X288)
| ~ aElementOf0(X288,sbsmnsldt0(xS)) )
& ( aElementOf0(esk27_1(X288),xS)
| ~ aElementOf0(X288,sbsmnsldt0(xS)) )
& ( aElementOf0(X288,esk27_1(X288))
| ~ aElementOf0(X288,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X290)
| ~ aElementOf0(X291,xS)
| ~ aElementOf0(X290,X291)
| aElementOf0(X290,sbsmnsldt0(xS)) )
& ( aInteger0(X292)
| ~ aElementOf0(X292,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X292,sbsmnsldt0(xS))
| ~ aElementOf0(X292,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X292)
| aElementOf0(X292,sbsmnsldt0(xS))
| aElementOf0(X292,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X293,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(X293,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
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)],[i_0_44])])])])])]) ).
fof(i_0_60,plain,
! [X146,X147,X148] :
( ~ aInteger0(X146)
| ~ aInteger0(X147)
| ~ aInteger0(X148)
| sdtasdt0(X146,sdtasdt0(X147,X148)) = sdtasdt0(sdtasdt0(X146,X147),X148) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(i_0_61,plain,
! [X139,X140,X141] :
( ~ aInteger0(X139)
| ~ aInteger0(X140)
| ~ aInteger0(X141)
| sdtpldt0(X139,sdtpldt0(X140,X141)) = sdtpldt0(sdtpldt0(X139,X140),X141) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(i_0_62,plain,
! [X183,X184,X185,X186] :
( ( aSet0(X184)
| ~ aSubsetOf0(X184,X183)
| ~ aSet0(X183) )
& ( ~ aElementOf0(X185,X184)
| aElementOf0(X185,X183)
| ~ aSubsetOf0(X184,X183)
| ~ aSet0(X183) )
& ( aElementOf0(esk3_2(X183,X186),X186)
| ~ aSet0(X186)
| aSubsetOf0(X186,X183)
| ~ aSet0(X183) )
& ( ~ aElementOf0(esk3_2(X183,X186),X183)
| ~ aSet0(X186)
| aSubsetOf0(X186,X183)
| ~ aSet0(X183) ) ),
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)],[mSubset])])])])])]) ).
fof(i_0_63,plain,
! [X236,X237] :
( ~ aSubsetOf0(X236,cS1395)
| ~ aSubsetOf0(X237,cS1395)
| ~ isClosed0(X236)
| ~ isClosed0(X237)
| isClosed0(sdtbsmnsldt0(X236,X237)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mUnionClosed])]) ).
fof(i_0_64,plain,
! [X234,X235] :
( ~ aSubsetOf0(X234,cS1395)
| ~ aSubsetOf0(X235,cS1395)
| ~ isOpen0(X234)
| ~ isOpen0(X235)
| isOpen0(sdtslmnbsdt0(X234,X235)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mInterOpen])]) ).
fof(i_0_65,plain,
! [X238] :
( ( aElementOf0(esk15_1(X238),X238)
| ~ aSet0(X238)
| ~ isFinite0(X238)
| isClosed0(sbsmnsldt0(X238)) )
& ( ~ aSubsetOf0(esk15_1(X238),cS1395)
| ~ isClosed0(esk15_1(X238))
| ~ aSet0(X238)
| ~ isFinite0(X238)
| isClosed0(sbsmnsldt0(X238)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mUnionSClosed])])])]) ).
fof(i_0_66,plain,
! [X159,X160,X162,X163] :
( ( aInteger0(X160)
| ~ aDivisorOf0(X160,X159)
| ~ aInteger0(X159) )
& ( X160 != sz00
| ~ aDivisorOf0(X160,X159)
| ~ aInteger0(X159) )
& ( aInteger0(esk1_2(X159,X160))
| ~ aDivisorOf0(X160,X159)
| ~ aInteger0(X159) )
& ( sdtasdt0(X160,esk1_2(X159,X160)) = X159
| ~ aDivisorOf0(X160,X159)
| ~ aInteger0(X159) )
& ( ~ aInteger0(X162)
| X162 = sz00
| ~ aInteger0(X163)
| sdtasdt0(X162,X163) != X159
| aDivisorOf0(X162,X159)
| ~ aInteger0(X159) ) ),
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)],[mDivisor])])])])])]) ).
fof(i_0_67,plain,
! [X167,X168] :
( ~ aInteger0(X167)
| ~ aInteger0(X168)
| X168 = sz00
| sdteqdtlpzmzozddtrp0(X167,X167,X168) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquModRef])]) ).
fof(i_0_68,hypothesis,
! [X254,X256,X257,X258,X259] :
( aSet0(sbsmnsldt0(xS))
& ( aInteger0(X254)
| ~ aElementOf0(X254,sbsmnsldt0(xS)) )
& ( aElementOf0(esk19_1(X254),xS)
| ~ aElementOf0(X254,sbsmnsldt0(xS)) )
& ( aElementOf0(X254,esk19_1(X254))
| ~ aElementOf0(X254,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X256)
| ~ aElementOf0(X257,xS)
| ~ aElementOf0(X256,X257)
| aElementOf0(X256,sbsmnsldt0(xS)) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ( aInteger0(X258)
| ~ aElementOf0(X258,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X258,sbsmnsldt0(xS))
| ~ aElementOf0(X258,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X258)
| aElementOf0(X258,sbsmnsldt0(xS))
| aElementOf0(X258,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X259,stldt0(sbsmnsldt0(xS)))
| X259 = sz10
| X259 = smndt0(sz10) )
& ( X259 != sz10
| aElementOf0(X259,stldt0(sbsmnsldt0(xS))) )
& ( X259 != smndt0(sz10)
| aElementOf0(X259,stldt0(sbsmnsldt0(xS))) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ),
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)],[i_0_45])])])])])]) ).
fof(i_0_69,plain,
! [X232] :
( ( aElementOf0(esk14_1(X232),X232)
| ~ aSet0(X232)
| isOpen0(sbsmnsldt0(X232)) )
& ( ~ aSubsetOf0(esk14_1(X232),cS1395)
| ~ isOpen0(esk14_1(X232))
| ~ aSet0(X232)
| isOpen0(sbsmnsldt0(X232)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mUnionOpen])])])]) ).
fof(i_0_70,plain,
! [X240,X241] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X240,X241),cS1395)
| ~ aInteger0(X240)
| ~ aInteger0(X241)
| X241 = sz00 )
& ( isClosed0(szAzrzSzezqlpdtcmdtrp0(X240,X241))
| ~ aInteger0(X240)
| ~ aInteger0(X241)
| X241 = sz00 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArSeqClosed])])]) ).
fof(i_0_71,hypothesis,
( aInteger0(esk28_0)
& aInteger0(esk29_0)
& sdtasdt0(xp,esk29_0) = sdtpldt0(esk28_0,smndt0(sz10))
& aDivisorOf0(xp,sdtpldt0(esk28_0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(esk28_0,sz10,xp)
& aElementOf0(esk28_0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& esk28_0 != sz10
& esk28_0 != smndt0(sz10)
& ~ aElementOf0(esk28_0,cS2200) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2203])])]) ).
fof(i_0_72,plain,
! [X137,X138] :
( ~ aInteger0(X137)
| ~ aInteger0(X138)
| aInteger0(sdtasdt0(X137,X138)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntMult])]) ).
fof(i_0_73,plain,
! [X135,X136] :
( ~ aInteger0(X135)
| ~ aInteger0(X136)
| aInteger0(sdtpldt0(X135,X136)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])]) ).
fof(i_0_74,plain,
! [X180,X181] :
( ( X180 != sz10
| ~ aDivisorOf0(X181,X180)
| ~ isPrime0(X181)
| ~ aInteger0(X180) )
& ( X180 != smndt0(sz10)
| ~ aDivisorOf0(X181,X180)
| ~ isPrime0(X181)
| ~ aInteger0(X180) )
& ( aDivisorOf0(esk2_1(X180),X180)
| X180 = sz10
| X180 = smndt0(sz10)
| ~ aInteger0(X180) )
& ( isPrime0(esk2_1(X180))
| X180 = sz10
| X180 = smndt0(sz10)
| ~ aInteger0(X180) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPrimeDivisor])])])])]) ).
fof(i_0_75,plain,
! [X149,X150] :
( ~ aInteger0(X149)
| ~ aInteger0(X150)
| sdtasdt0(X149,X150) = sdtasdt0(X150,X149) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(i_0_76,plain,
! [X142,X143] :
( ~ aInteger0(X142)
| ~ aInteger0(X143)
| sdtpldt0(X142,X143) = sdtpldt0(X143,X142) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
fof(i_0_77,plain,
! [X231] :
( ( ~ isClosed0(X231)
| isOpen0(stldt0(X231))
| ~ aSubsetOf0(X231,cS1395) )
& ( ~ isOpen0(stldt0(X231))
| isClosed0(X231)
| ~ aSubsetOf0(X231,cS1395) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mClosed])])]) ).
fof(i_0_78,plain,
! [X157,X158] :
( ~ aInteger0(X157)
| ~ aInteger0(X158)
| sdtasdt0(X157,X158) != sz00
| X157 = sz00
| X158 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroDiv])]) ).
fof(i_0_79,plain,
! [X156] :
( ( sdtasdt0(smndt0(sz10),X156) = smndt0(X156)
| ~ aInteger0(X156) )
& ( smndt0(X156) = sdtasdt0(X156,smndt0(sz10))
| ~ aInteger0(X156) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMinOne])])]) ).
fof(i_0_80,plain,
! [X145] :
( ( sdtpldt0(X145,smndt0(X145)) = sz00
| ~ aInteger0(X145) )
& ( sz00 = sdtpldt0(smndt0(X145),X145)
| ~ aInteger0(X145) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddNeg])])]) ).
fof(i_0_81,plain,
! [X151] :
( ( sdtasdt0(X151,sz10) = X151
| ~ aInteger0(X151) )
& ( X151 = sdtasdt0(sz10,X151)
| ~ aInteger0(X151) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulOne])])]) ).
fof(i_0_82,plain,
! [X144] :
( ( sdtpldt0(X144,sz00) = X144
| ~ aInteger0(X144) )
& ( X144 = sdtpldt0(sz00,X144)
| ~ aInteger0(X144) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).
fof(i_0_83,plain,
! [X155] :
( ( sdtasdt0(X155,sz00) = sz00
| ~ aInteger0(X155) )
& ( sz00 = sdtasdt0(sz00,X155)
| ~ aInteger0(X155) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])]) ).
fof(i_0_84,plain,
! [X134] :
( ~ aInteger0(X134)
| aInteger0(smndt0(X134)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])]) ).
cnf(i_0_85,plain,
( X3 = sdtslmnbsdt0(X1,X2)
| ~ aElementOf0(esk5_3(X1,X2,X3),X3)
| ~ aInteger0(esk5_3(X1,X2,X3))
| ~ aElementOf0(esk5_3(X1,X2,X3),X1)
| ~ aElementOf0(esk5_3(X1,X2,X3),X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_86,plain,
( X3 = szAzrzSzezqlpdtcmdtrp0(X1,X2)
| X2 = sz00
| ~ aElementOf0(esk11_3(X1,X2,X3),X3)
| ~ aInteger0(esk11_3(X1,X2,X3))
| ~ sdteqdtlpzmzozddtrp0(esk11_3(X1,X2,X3),X1,X2)
| ~ aSet0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_87,plain,
( X3 = sdtbsmnsldt0(X1,X2)
| ~ aElementOf0(esk4_3(X1,X2,X3),X1)
| ~ aInteger0(esk4_3(X1,X2,X3))
| ~ aElementOf0(esk4_3(X1,X2,X3),X3)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_88,plain,
( X3 = sdtbsmnsldt0(X1,X2)
| ~ aElementOf0(esk4_3(X1,X2,X3),X2)
| ~ aInteger0(esk4_3(X1,X2,X3))
| ~ aElementOf0(esk4_3(X1,X2,X3),X3)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_89,plain,
( aElementOf0(esk4_3(X1,X2,X3),X1)
| aElementOf0(esk4_3(X1,X2,X3),X2)
| aElementOf0(esk4_3(X1,X2,X3),X3)
| X3 = sdtbsmnsldt0(X1,X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_90,plain,
( sdteqdtlpzmzozddtrp0(esk11_3(X1,X2,X3),X1,X2)
| aElementOf0(esk11_3(X1,X2,X3),X3)
| X3 = szAzrzSzezqlpdtcmdtrp0(X1,X2)
| X2 = sz00
| ~ aSet0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_91,plain,
( aElementOf0(esk5_3(X1,X2,X3),X1)
| aElementOf0(esk5_3(X1,X2,X3),X3)
| X3 = sdtslmnbsdt0(X1,X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_92,plain,
( aElementOf0(esk5_3(X1,X2,X3),X2)
| aElementOf0(esk5_3(X1,X2,X3),X3)
| X3 = sdtslmnbsdt0(X1,X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_93,plain,
( aInteger0(esk5_3(X1,X2,X3))
| aElementOf0(esk5_3(X1,X2,X3),X3)
| X3 = sdtslmnbsdt0(X1,X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_94,plain,
( aInteger0(esk4_3(X1,X2,X3))
| aElementOf0(esk4_3(X1,X2,X3),X3)
| X3 = sdtbsmnsldt0(X1,X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_95,plain,
( aInteger0(esk11_3(X1,X2,X3))
| aElementOf0(esk11_3(X1,X2,X3),X3)
| X3 = szAzrzSzezqlpdtcmdtrp0(X1,X2)
| X2 = sz00
| ~ aSet0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_96,plain,
( X3 = sz00
| sdteqdtlpzmzozddtrp0(X1,X4,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ sdteqdtlpzmzozddtrp0(X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_97,plain,
( X2 = sbsmnsldt0(X1)
| ~ aElementOf0(esk8_2(X1,X2),X2)
| ~ aInteger0(esk8_2(X1,X2))
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(esk8_2(X1,X2),X3)
| ~ aSet0(X2)
| ~ aSubsetOf0(esk6_1(X1),cS1395)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_98,plain,
( X2 = sbsmnsldt0(X1)
| aElementOf0(esk6_1(X1),X1)
| ~ aElementOf0(esk8_2(X1,X2),X2)
| ~ aInteger0(esk8_2(X1,X2))
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(esk8_2(X1,X2),X3)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_99,hypothesis,
( sdtasdt0(X1,esk18_3(X2,X1,X3)) = sdtpldt0(X3,smndt0(sz00))
| X1 = sz00
| aElementOf0(X2,xS)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X1)
| ~ isPrime0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_100,plain,
( sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X3 = sz00
| X4 = sz00
| ~ sdteqdtlpzmzozddtrp0(X1,X2,sdtasdt0(X3,X4))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_101,plain,
( sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X4 = sz00
| X3 = sz00
| ~ sdteqdtlpzmzozddtrp0(X1,X2,sdtasdt0(X4,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_102,hypothesis,
( aInteger0(esk18_3(X1,X2,X3))
| X2 = sz00
| aElementOf0(X1,xS)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
| ~ aInteger0(X2)
| ~ isPrime0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_103,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(X2,esk24_1(X2)))
| ~ sdteqdtlpzmzozddtrp0(X1,X2,esk24_1(X2))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_104,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(X2,esk21_1(X2)))
| ~ sdteqdtlpzmzozddtrp0(X1,X2,esk21_1(X2))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_105,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk24_1(X1)))
| ~ aDivisorOf0(esk24_1(X1),sdtpldt0(X2,smndt0(X1)))
| ~ aInteger0(X2)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_106,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk21_1(X1)))
| ~ aDivisorOf0(esk21_1(X1),sdtpldt0(X2,smndt0(X1)))
| ~ aInteger0(X2)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_107,hypothesis,
( sdtasdt0(esk24_1(X1),esk25_2(X1,X2)) = sdtpldt0(X2,smndt0(X1))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk24_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_108,hypothesis,
( sdtasdt0(esk21_1(X1),esk22_2(X1,X2)) = sdtpldt0(X2,smndt0(X1))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk21_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_109,plain,
( aElementOf0(esk7_3(X1,X2,X3),X1)
| ~ aElementOf0(X3,X2)
| X2 != sbsmnsldt0(X1)
| ~ aSubsetOf0(esk6_1(X1),cS1395)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_110,plain,
( aElementOf0(X1,esk7_3(X2,X3,X1))
| ~ aElementOf0(X1,X3)
| X3 != sbsmnsldt0(X2)
| ~ aSubsetOf0(esk6_1(X2),cS1395)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_111,hypothesis,
( sdteqdtlpzmzozddtrp0(X1,X2,esk24_1(X2))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(X2,esk24_1(X2)))
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_112,hypothesis,
( sdteqdtlpzmzozddtrp0(X1,X2,esk21_1(X2))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(X2,esk21_1(X2)))
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_113,plain,
( aElementOf0(esk10_2(X1,X2),X1)
| X2 = stldt0(X1)
| ~ aElementOf0(esk10_2(X1,X2),X2)
| ~ aInteger0(esk10_2(X1,X2))
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_114,hypothesis,
( aDivisorOf0(esk24_1(X1),sdtpldt0(X2,smndt0(X1)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk24_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_115,hypothesis,
( aDivisorOf0(esk21_1(X1),sdtpldt0(X2,smndt0(X1)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk21_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_116,plain,
( aElementOf0(esk7_3(X1,X2,X3),X1)
| aElementOf0(esk6_1(X1),X1)
| ~ aElementOf0(X3,X2)
| X2 != sbsmnsldt0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_117,plain,
( aElementOf0(X1,esk7_3(X2,X3,X1))
| aElementOf0(esk6_1(X2),X2)
| ~ aElementOf0(X1,X3)
| X3 != sbsmnsldt0(X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_118,hypothesis,
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X2,esk24_1(X2)))
| ~ aInteger0(X1)
| sdtasdt0(esk24_1(X2),X1) != sdtpldt0(X3,smndt0(X2))
| ~ aInteger0(X3)
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_119,hypothesis,
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X2,esk21_1(X2)))
| ~ aInteger0(X1)
| sdtasdt0(esk21_1(X2),X1) != sdtpldt0(X3,smndt0(X2))
| ~ aInteger0(X3)
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_120,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2)))
| ~ sdteqdtlpzmzozddtrp0(X1,sz00,esk16_1(X2))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,xS) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_121,plain,
( X3 = sz00
| sdteqdtlpzmzozddtrp0(X2,X1,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_122,plain,
( aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2)))
| X3 = sz00
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_123,hypothesis,
( sdtasdt0(esk16_1(X1),esk17_2(X1,X2)) = sdtpldt0(X2,smndt0(sz00))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X1)))
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_124,plain,
( sdteqdtlpzmzozddtrp0(X2,X3,X1)
| X1 = sz00
| ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(X3)))
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_125,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X1)))
| ~ aDivisorOf0(esk16_1(X1),sdtpldt0(X2,smndt0(sz00)))
| ~ aInteger0(X2)
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_126,hypothesis,
( sdteqdtlpzmzozddtrp0(X1,sz00,esk16_1(X2))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2)))
| ~ aElementOf0(X2,xS) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_127,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
| X2 = sz00
| aElementOf0(X3,xS)
| ~ sdteqdtlpzmzozddtrp0(X1,sz00,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ isPrime0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_128,plain,
( aElementOf0(esk8_2(X1,X2),esk9_2(X1,X2))
| aElementOf0(esk8_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(esk6_1(X1),cS1395)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_129,hypothesis,
( aInteger0(esk25_2(X1,X2))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk24_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_130,hypothesis,
( aInteger0(esk22_2(X1,X2))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk21_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_131,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(X2,esk24_1(X2)))
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_132,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(X2,esk21_1(X2)))
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_133,hypothesis,
( aDivisorOf0(esk16_1(X1),sdtpldt0(X2,smndt0(sz00)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X1)))
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_134,plain,
( aElementOf0(X1,X4)
| X3 = sz00
| ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X4 != szAzrzSzezqlpdtcmdtrp0(X2,X3)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_135,plain,
( aElementOf0(esk8_2(X1,X2),esk9_2(X1,X2))
| aElementOf0(esk8_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| aElementOf0(esk6_1(X1),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_136,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| X1 = sz00
| aElementOf0(X3,xS)
| ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ isPrime0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_137,hypothesis,
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2)))
| ~ aInteger0(X1)
| sdtasdt0(esk16_1(X2),X1) != sdtpldt0(X3,smndt0(sz00))
| ~ aInteger0(X3)
| ~ aElementOf0(X2,xS) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_138,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk12_2(X2,X1)),X2)
| ~ aElementOf0(X1,X2)
| ~ isOpen0(X2)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_139,hypothesis,
( sdteqdtlpzmzozddtrp0(X1,sz00,X2)
| X2 = sz00
| aElementOf0(X3,xS)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
| ~ aInteger0(X2)
| ~ isPrime0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_140,plain,
( aElementOf0(esk10_2(X1,X2),X2)
| X2 = stldt0(X1)
| ~ aElementOf0(esk10_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_141,hypothesis,
( aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| X1 = sz00
| aElementOf0(X3,xS)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X1)
| ~ isPrime0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_142,plain,
( aElementOf0(X1,X4)
| ~ aInteger0(X1)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X4 != sdtslmnbsdt0(X2,X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_143,plain,
( aElementOf0(esk9_2(X1,X2),X1)
| aElementOf0(esk8_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(esk6_1(X1),cS1395)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_144,hypothesis,
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
| X2 = sz00
| aElementOf0(X4,xS)
| ~ aInteger0(X1)
| sdtasdt0(X2,X1) != sdtpldt0(X3,smndt0(sz00))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ isPrime0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_145,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(X2,esk24_1(X2)))
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_146,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(X2,esk21_1(X2)))
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_147,hypothesis,
( aInteger0(esk17_2(X1,X2))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X1)))
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_148,plain,
( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_149,plain,
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_150,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ sdteqdtlpzmzozddtrp0(X1,sz10,xp)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_151,plain,
( aElementOf0(esk9_2(X1,X2),X1)
| aElementOf0(esk8_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| aElementOf0(esk6_1(X1),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_152,plain,
( aInteger0(esk8_2(X1,X2))
| aElementOf0(esk8_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(esk6_1(X1),cS1395)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_153,plain,
( sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X3 = sz00
| ~ aElementOf0(X1,X4)
| X4 != szAzrzSzezqlpdtcmdtrp0(X2,X3)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_154,plain,
( aElementOf0(X1,X2)
| aElementOf0(X1,X3)
| ~ aElementOf0(X1,X4)
| X4 != sdtbsmnsldt0(X2,X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_155,plain,
( X1 = sz00
| isOpen0(X2)
| ~ aInteger0(X1)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk13_1(X2),X1),X2)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_156,plain,
( aElementOf0(X1,X4)
| ~ aInteger0(X1)
| ~ aElementOf0(X2,X3)
| ~ aElementOf0(X1,X2)
| X4 != sbsmnsldt0(X3)
| ~ aSubsetOf0(esk6_1(X3),cS1395)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_157,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_158,plain,
( aInteger0(esk8_2(X1,X2))
| aElementOf0(esk8_2(X1,X2),X2)
| X2 = sbsmnsldt0(X1)
| aElementOf0(esk6_1(X1),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_159,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aInteger0(X1)
| X3 != sdtbsmnsldt0(X2,X4)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X4,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_160,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aInteger0(X1)
| X3 != sdtbsmnsldt0(X4,X2)
| ~ aSubsetOf0(X4,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_161,hypothesis,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk24_1(X1)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_162,hypothesis,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk21_1(X1)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_163,hypothesis,
( sdteqdtlpzmzozddtrp0(X1,sz10,xp)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_164,plain,
( aInteger0(esk10_2(X1,X2))
| aElementOf0(esk10_2(X1,X2),X2)
| X2 = stldt0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_165,plain,
( aElementOf0(X1,X4)
| aElementOf0(esk6_1(X3),X3)
| ~ aInteger0(X1)
| ~ aElementOf0(X2,X3)
| ~ aElementOf0(X1,X2)
| X4 != sbsmnsldt0(X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_166,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2)))
| ~ aElementOf0(X2,xS) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_167,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtslmnbsdt0(X2,X4)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X4,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_168,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtslmnbsdt0(X4,X2)
| ~ aSubsetOf0(X4,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_169,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_170,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_171,hypothesis,
( aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_172,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X1)
| sdtasdt0(xp,X1) != sdtpldt0(X2,smndt0(sz10))
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_173,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk3_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_174,hypothesis,
( aInteger0(X1)
| X2 = sz00
| aElementOf0(X3,xS)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
| ~ aInteger0(X2)
| ~ isPrime0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_175,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtslmnbsdt0(X3,X4)
| ~ aSubsetOf0(X3,cS1395)
| ~ aSubsetOf0(X4,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_176,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtbsmnsldt0(X3,X4)
| ~ aSubsetOf0(X3,cS1395)
| ~ aSubsetOf0(X4,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_177,hypothesis,
( sdtasdt0(xp,esk26_1(X1)) = sdtpldt0(X1,smndt0(sz10))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_178,plain,
( isClosed0(sdtbsmnsldt0(X1,X2))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ isClosed0(X1)
| ~ isClosed0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_179,plain,
( isOpen0(sdtslmnbsdt0(X1,X2))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ isOpen0(X1)
| ~ isOpen0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_180,hypothesis,
( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,esk24_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_181,hypothesis,
( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,esk21_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_182,plain,
( aInteger0(esk12_2(X1,X2))
| ~ aElementOf0(X2,X1)
| ~ isOpen0(X1)
| ~ aSubsetOf0(X1,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_183,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_184,plain,
( ~ aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != stldt0(X2)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_185,plain,
( esk12_2(X1,X2) != sz00
| ~ aElementOf0(X2,X1)
| ~ isOpen0(X1)
| ~ aSubsetOf0(X1,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_186,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sbsmnsldt0(X3)
| ~ aSubsetOf0(esk6_1(X3),cS1395)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_187,plain,
( isClosed0(sbsmnsldt0(X1))
| ~ aSubsetOf0(esk15_1(X1),cS1395)
| ~ isClosed0(esk15_1(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_188,plain,
( sdtasdt0(X1,esk1_2(X2,X1)) = X2
| ~ aDivisorOf0(X1,X2)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_189,plain,
( X2 = sz00
| sdteqdtlpzmzozddtrp0(X1,X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_190,hypothesis,
( ~ aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_191,hypothesis,
( ~ aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_192,hypothesis,
( ~ aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_193,hypothesis,
( ~ aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_194,plain,
( aSet0(X1)
| X1 != sdtslmnbsdt0(X2,X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_195,plain,
( aSet0(X1)
| X1 != sdtbsmnsldt0(X2,X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_196,plain,
( aElementOf0(esk3_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_197,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,xS)
| ~ aElementOf0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_198,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,xS)
| ~ aElementOf0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_199,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,xS)
| ~ aElementOf0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_200,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,xS)
| ~ aElementOf0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_201,plain,
( aInteger0(X1)
| X4 = sz00
| ~ aElementOf0(X1,X2)
| X2 != szAzrzSzezqlpdtcmdtrp0(X3,X4)
| ~ aInteger0(X3)
| ~ aInteger0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_202,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_203,plain,
( aElementOf0(X1,X2)
| aElementOf0(X1,X3)
| ~ aInteger0(X1)
| X3 != stldt0(X2)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_204,plain,
( isOpen0(sbsmnsldt0(X1))
| ~ aSubsetOf0(esk14_1(X1),cS1395)
| ~ isOpen0(esk14_1(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_205,hypothesis,
( aInteger0(esk26_1(X1))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_206,plain,
( aInteger0(X1)
| aElementOf0(esk6_1(X3),X3)
| ~ aElementOf0(X1,X2)
| X2 != sbsmnsldt0(X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_207,plain,
( X1 = sz00
| aDivisorOf0(X1,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X3
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_208,plain,
( aInteger0(esk1_2(X1,X2))
| ~ aDivisorOf0(X2,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_209,hypothesis,
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X1)))
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_210,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_211,hypothesis,
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| X1 = sz00
| aElementOf0(X2,xS)
| ~ aInteger0(X1)
| ~ isPrime0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_212,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,X2)
| X2 != stldt0(X3)
| ~ aSubsetOf0(X3,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_213,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),cS1395)
| X2 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_214,hypothesis,
( aInteger0(esk24_1(X1))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_215,hypothesis,
( aInteger0(esk21_1(X1))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_216,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_217,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_218,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_219,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_220,hypothesis,
( X1 = sz00
| aElementOf0(X2,xS)
| szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X2
| ~ aInteger0(X1)
| ~ isPrime0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_221,hypothesis,
sdteqdtlpzmzozddtrp0(esk28_0,sz10,xp),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_222,plain,
( aSet0(X1)
| X1 != sbsmnsldt0(X2)
| ~ aSubsetOf0(esk6_1(X2),cS1395)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_223,hypothesis,
( esk24_1(X1) != sz00
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_224,hypothesis,
( esk21_1(X1) != sz00
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_225,hypothesis,
( aElementOf0(X1,esk27_1(X1))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_226,hypothesis,
( aElementOf0(X1,esk23_1(X1))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_227,hypothesis,
( aElementOf0(X1,esk20_1(X1))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_228,hypothesis,
( aElementOf0(X1,esk19_1(X1))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_229,hypothesis,
( X1 = sz10
| X1 = smndt0(sz10)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_230,hypothesis,
( aElementOf0(esk27_1(X1),xS)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_231,hypothesis,
( aElementOf0(esk23_1(X1),xS)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_232,hypothesis,
( aElementOf0(esk20_1(X1),xS)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_233,hypothesis,
( aElementOf0(esk19_1(X1),xS)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_234,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_235,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_236,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_237,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_238,hypothesis,
aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_239,plain,
( isClosed0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
| X2 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_240,plain,
( aElementOf0(esk15_1(X1),X1)
| isClosed0(sbsmnsldt0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_241,plain,
( aElementOf0(esk13_1(X1),X1)
| isOpen0(X1)
| ~ aSubsetOf0(X1,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_242,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_243,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_244,plain,
( aSet0(X1)
| X3 = sz00
| X1 != szAzrzSzezqlpdtcmdtrp0(X2,X3)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_245,plain,
( X1 != smndt0(sz10)
| ~ aDivisorOf0(X2,X1)
| ~ isPrime0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_246,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_247,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_248,hypothesis,
aDivisorOf0(xp,sdtpldt0(esk28_0,smndt0(sz10))),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_249,plain,
( isClosed0(X1)
| ~ isOpen0(stldt0(X1))
| ~ aSubsetOf0(X1,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_250,plain,
( aSet0(X1)
| aElementOf0(esk6_1(X2),X2)
| X1 != sbsmnsldt0(X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_251,plain,
( X1 = sz00
| X2 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtasdt0(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_252,hypothesis,
( szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X1)) = X1
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_253,plain,
( X1 != sz10
| ~ aDivisorOf0(X2,X1)
| ~ isPrime0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_254,plain,
( aElementOf0(esk14_1(X1),X1)
| isOpen0(sbsmnsldt0(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_255,plain,
( isOpen0(stldt0(X1))
| ~ isClosed0(X1)
| ~ aSubsetOf0(X1,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_256,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_257,plain,
( aInteger0(X1)
| ~ aDivisorOf0(X1,X2)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_258,plain,
( aSet0(X1)
| X1 != stldt0(X2)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_259,plain,
( aDivisorOf0(esk2_1(X1),X1)
| X1 = sz10
| X1 = smndt0(sz10)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_260,hypothesis,
aElementOf0(esk28_0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_261,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| X1 != smndt0(sz10) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_262,plain,
( X1 != sz00
| ~ aDivisorOf0(X1,X2)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_263,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_264,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_265,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_266,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_267,hypothesis,
( isPrime0(esk16_1(X1))
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_268,hypothesis,
( aInteger0(esk16_1(X1))
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_269,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| X1 != sz10 ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_270,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_271,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_272,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_273,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_274,hypothesis,
( esk16_1(X1) != sz00
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_275,hypothesis,
sdtasdt0(xp,esk29_0) = sdtpldt0(esk28_0,smndt0(sz10)),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_276,hypothesis,
aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_277,plain,
( isPrime0(esk2_1(X1))
| X1 = sz10
| X1 = smndt0(sz10)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_278,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_279,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_280,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_281,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_282,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_283,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_284,hypothesis,
~ aElementOf0(esk28_0,cS2200),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_285,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_286,hypothesis,
isOpen0(stldt0(sbsmnsldt0(xS))),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_287,hypothesis,
aSet0(stldt0(sbsmnsldt0(xS))),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_288,hypothesis,
isClosed0(sbsmnsldt0(xS)),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_289,hypothesis,
aSet0(sbsmnsldt0(xS)),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_290,hypothesis,
aSet0(sbsmnsldt0(xS)),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_291,hypothesis,
aSet0(sbsmnsldt0(xS)),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_292,hypothesis,
aSet0(sbsmnsldt0(xS)),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_293,hypothesis,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_294,hypothesis,
esk28_0 != smndt0(sz10),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_295,hypothesis,
isFinite0(xS),
inference(split_conjunct,[status(thm)],[m__2117]),
[final] ).
cnf(i_0_296,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_297,hypothesis,
aInteger0(esk29_0),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_298,hypothesis,
aInteger0(esk28_0),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_299,hypothesis,
aInteger0(xp),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_300,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[mIntOne]),
[final] ).
cnf(i_0_301,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[mIntZero]),
[final] ).
cnf(i_0_302,hypothesis,
esk28_0 != sz10,
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_303,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_304,hypothesis,
xS = cS2043,
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_305,axiom,
X1 = X1 ).
cnf(i_0_306,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_307,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_308,axiom,
( X1 != X2
| sdtslmnbsdt0(X1,X3) = sdtslmnbsdt0(X2,X3) ) ).
cnf(i_0_309,axiom,
( X1 != X2
| sdtslmnbsdt0(X3,X1) = sdtslmnbsdt0(X3,X2) ) ).
cnf(i_0_310,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_311,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_312,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_313,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_314,axiom,
( X1 != X2
| smndt0(X1) = smndt0(X2) ) ).
cnf(i_0_315,axiom,
( X1 != X2
| esk24_1(X1) = esk24_1(X2) ) ).
cnf(i_0_316,axiom,
( X1 != X2
| stldt0(X1) = stldt0(X2) ) ).
cnf(i_0_317,axiom,
( X1 != X2
| esk21_1(X1) = esk21_1(X2) ) ).
cnf(i_0_318,axiom,
( X1 != X2
| esk16_1(X1) = esk16_1(X2) ) ).
cnf(i_0_319,axiom,
( X1 != X2
| esk12_2(X1,X3) = esk12_2(X2,X3) ) ).
cnf(i_0_320,axiom,
( X1 != X2
| esk12_2(X3,X1) = esk12_2(X3,X2) ) ).
cnf(i_0_321,axiom,
( X1 != X2
| szAzrzSzezqlpdtcmdtrp0(X1,X3) = szAzrzSzezqlpdtcmdtrp0(X2,X3) ) ).
cnf(i_0_322,axiom,
( X1 != X2
| szAzrzSzezqlpdtcmdtrp0(X3,X1) = szAzrzSzezqlpdtcmdtrp0(X3,X2) ) ).
cnf(i_0_323,axiom,
( X1 != X2
| sdtbsmnsldt0(X1,X3) = sdtbsmnsldt0(X2,X3) ) ).
cnf(i_0_324,axiom,
( X1 != X2
| sdtbsmnsldt0(X3,X1) = sdtbsmnsldt0(X3,X2) ) ).
cnf(i_0_325,axiom,
( X1 != X2
| sbsmnsldt0(X1) = sbsmnsldt0(X2) ) ).
cnf(i_0_326,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_327,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_328,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_329,axiom,
( X1 != X2
| ~ aInteger0(X1)
| aInteger0(X2) ) ).
cnf(i_0_330,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_331,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_332,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_333,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X4)
| sdteqdtlpzmzozddtrp0(X2,X3,X4) ) ).
cnf(i_0_334,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X3,X1,X4)
| sdteqdtlpzmzozddtrp0(X3,X2,X4) ) ).
cnf(i_0_335,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X3,X4,X1)
| sdteqdtlpzmzozddtrp0(X3,X4,X2) ) ).
cnf(i_0_336,axiom,
( X1 != X2
| ~ isPrime0(X1)
| isPrime0(X2) ) ).
cnf(i_0_337,axiom,
( X1 != X2
| ~ aDivisorOf0(X1,X3)
| aDivisorOf0(X2,X3) ) ).
cnf(i_0_338,axiom,
( X1 != X2
| ~ aDivisorOf0(X3,X1)
| aDivisorOf0(X3,X2) ) ).
cnf(i_0_339,axiom,
( X1 != X2
| ~ isOpen0(X1)
| isOpen0(X2) ) ).
cnf(i_0_340,axiom,
( X1 != X2
| ~ isClosed0(X1)
| isClosed0(X2) ) ).
cnf(i_0_305_001,axiom,
X1 = X1 ).
cnf(i_0_306_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_307_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_308_004,axiom,
( X1 != X2
| sdtslmnbsdt0(X1,X3) = sdtslmnbsdt0(X2,X3) ) ).
cnf(i_0_309_005,axiom,
( X1 != X2
| sdtslmnbsdt0(X3,X1) = sdtslmnbsdt0(X3,X2) ) ).
cnf(i_0_310_006,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_311_007,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_312_008,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_313_009,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_314_010,axiom,
( X1 != X2
| smndt0(X1) = smndt0(X2) ) ).
cnf(i_0_315_011,axiom,
( X1 != X2
| esk24_1(X1) = esk24_1(X2) ) ).
cnf(i_0_316_012,axiom,
( X1 != X2
| stldt0(X1) = stldt0(X2) ) ).
cnf(i_0_317_013,axiom,
( X1 != X2
| esk21_1(X1) = esk21_1(X2) ) ).
cnf(i_0_318_014,axiom,
( X1 != X2
| esk16_1(X1) = esk16_1(X2) ) ).
cnf(i_0_319_015,axiom,
( X1 != X2
| esk12_2(X1,X3) = esk12_2(X2,X3) ) ).
cnf(i_0_320_016,axiom,
( X1 != X2
| esk12_2(X3,X1) = esk12_2(X3,X2) ) ).
cnf(i_0_321_017,axiom,
( X1 != X2
| szAzrzSzezqlpdtcmdtrp0(X1,X3) = szAzrzSzezqlpdtcmdtrp0(X2,X3) ) ).
cnf(i_0_322_018,axiom,
( X1 != X2
| szAzrzSzezqlpdtcmdtrp0(X3,X1) = szAzrzSzezqlpdtcmdtrp0(X3,X2) ) ).
cnf(i_0_323_019,axiom,
( X1 != X2
| sdtbsmnsldt0(X1,X3) = sdtbsmnsldt0(X2,X3) ) ).
cnf(i_0_324_020,axiom,
( X1 != X2
| sdtbsmnsldt0(X3,X1) = sdtbsmnsldt0(X3,X2) ) ).
cnf(i_0_325_021,axiom,
( X1 != X2
| sbsmnsldt0(X1) = sbsmnsldt0(X2) ) ).
cnf(i_0_326_022,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_327_023,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_328_024,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_329_025,axiom,
( X1 != X2
| ~ aInteger0(X1)
| aInteger0(X2) ) ).
cnf(i_0_330_026,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_331_027,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_332_028,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_333_029,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X4)
| sdteqdtlpzmzozddtrp0(X2,X3,X4) ) ).
cnf(i_0_334_030,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X3,X1,X4)
| sdteqdtlpzmzozddtrp0(X3,X2,X4) ) ).
cnf(i_0_335_031,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X3,X4,X1)
| sdteqdtlpzmzozddtrp0(X3,X4,X2) ) ).
cnf(i_0_336_032,axiom,
( X1 != X2
| ~ isPrime0(X1)
| isPrime0(X2) ) ).
cnf(i_0_337_033,axiom,
( X1 != X2
| ~ aDivisorOf0(X1,X3)
| aDivisorOf0(X2,X3) ) ).
cnf(i_0_338_034,axiom,
( X1 != X2
| ~ aDivisorOf0(X3,X1)
| aDivisorOf0(X3,X2) ) ).
cnf(i_0_339_035,axiom,
( X1 != X2
| ~ isOpen0(X1)
| isOpen0(X2) ) ).
cnf(i_0_340_036,axiom,
( X1 != X2
| ~ isClosed0(X1)
| isClosed0(X2) ) ).
cnf(i_0_341,plain,
( ~ aElementOf0(X1,sbsmnsldt0(X2))
| ~ aSet0(X2)
| aElementOf0(esk7_3(X2,sbsmnsldt0(X2),X1),X2)
| ~ aSubsetOf0(esk6_1(X2),cS1395) ),
inference(equality_inference,[],[109]) ).
cnf(i_0_342,plain,
( ~ aElementOf0(X1,sbsmnsldt0(X2))
| ~ aSet0(X2)
| aElementOf0(X1,esk7_3(X2,sbsmnsldt0(X2),X1))
| ~ aSubsetOf0(esk6_1(X2),cS1395) ),
inference(equality_inference,[],[110]) ).
cnf(i_0_343,plain,
( ~ aElementOf0(X1,sbsmnsldt0(X2))
| ~ aSet0(X2)
| aElementOf0(esk6_1(X2),X2)
| aElementOf0(esk7_3(X2,sbsmnsldt0(X2),X1),X2) ),
inference(equality_inference,[],[116]) ).
cnf(i_0_344,plain,
( ~ aElementOf0(X1,sbsmnsldt0(X2))
| ~ aSet0(X2)
| aElementOf0(esk6_1(X2),X2)
| aElementOf0(X1,esk7_3(X2,sbsmnsldt0(X2),X1)) ),
inference(equality_inference,[],[117]) ).
cnf(i_0_345,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X3 = sz00 ),
inference(equality_inference,[],[134]) ).
cnf(i_0_346,plain,
( ~ aInteger0(X1)
| aElementOf0(X1,sdtslmnbsdt0(X2,X3))
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(equality_inference,[],[142]) ).
cnf(i_0_347,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdteqdtlpzmzozddtrp0(X3,X1,X2)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| X2 = sz00 ),
inference(equality_inference,[],[153]) ).
cnf(i_0_348,plain,
( aElementOf0(X1,X2)
| aElementOf0(X1,X3)
| ~ aElementOf0(X1,sdtbsmnsldt0(X2,X3))
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(equality_inference,[],[154]) ).
cnf(i_0_349,plain,
( ~ aInteger0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X3)
| aElementOf0(X1,sbsmnsldt0(X3))
| ~ aElementOf0(X2,X3)
| ~ aSubsetOf0(esk6_1(X3),cS1395) ),
inference(equality_inference,[],[156]) ).
cnf(i_0_350,plain,
( ~ aInteger0(X1)
| aElementOf0(X1,sdtbsmnsldt0(X2,X3))
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(equality_inference,[],[159]) ).
cnf(i_0_351,plain,
( ~ aInteger0(X1)
| aElementOf0(X1,sdtbsmnsldt0(X2,X3))
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(equality_inference,[],[160]) ).
cnf(i_0_352,plain,
( ~ aInteger0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X3)
| aElementOf0(X1,sbsmnsldt0(X3))
| ~ aElementOf0(X2,X3)
| aElementOf0(esk6_1(X3),X3) ),
inference(equality_inference,[],[165]) ).
cnf(i_0_353,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtslmnbsdt0(X2,X3))
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(equality_inference,[],[167]) ).
cnf(i_0_354,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtslmnbsdt0(X3,X2))
| ~ aSubsetOf0(X3,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(equality_inference,[],[168]) ).
cnf(i_0_355,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,sdtslmnbsdt0(X2,X3))
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(equality_inference,[],[175]) ).
cnf(i_0_356,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,sdtbsmnsldt0(X2,X3))
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(equality_inference,[],[176]) ).
cnf(i_0_357,plain,
( ~ aElementOf0(X1,X2)
| ~ aElementOf0(X1,stldt0(X2))
| ~ aSubsetOf0(X2,cS1395) ),
inference(equality_inference,[],[184]) ).
cnf(i_0_358,plain,
( ~ aSet0(X1)
| aInteger0(X2)
| ~ aElementOf0(X2,sbsmnsldt0(X1))
| ~ aSubsetOf0(esk6_1(X1),cS1395) ),
inference(equality_inference,[],[186]) ).
cnf(i_0_359,plain,
( aSet0(sdtslmnbsdt0(X1,X2))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(equality_inference,[],[194]) ).
cnf(i_0_360,plain,
( aSet0(sdtbsmnsldt0(X1,X2))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(equality_inference,[],[195]) ).
cnf(i_0_361,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| aInteger0(X3)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| X2 = sz00 ),
inference(equality_inference,[],[201]) ).
cnf(i_0_362,plain,
( ~ aInteger0(X1)
| aElementOf0(X1,X2)
| aElementOf0(X1,stldt0(X2))
| ~ aSubsetOf0(X2,cS1395) ),
inference(equality_inference,[],[203]) ).
cnf(i_0_363,plain,
( ~ aSet0(X1)
| aInteger0(X2)
| ~ aElementOf0(X2,sbsmnsldt0(X1))
| aElementOf0(esk6_1(X1),X1) ),
inference(equality_inference,[],[206]) ).
cnf(i_0_364,plain,
( ~ aInteger0(X1)
| ~ aInteger0(sdtasdt0(X1,X2))
| aDivisorOf0(X1,sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| X1 = sz00 ),
inference(equality_inference,[],[207]) ).
cnf(i_0_365,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(X2))
| ~ aSubsetOf0(X2,cS1395) ),
inference(equality_inference,[],[212]) ).
cnf(i_0_366,plain,
( ~ aInteger0(X1)
| ~ isPrime0(X1)
| X1 = sz00
| aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,X1),xS) ),
inference(equality_inference,[],[220]) ).
cnf(i_0_367,plain,
( ~ aSet0(X1)
| aSet0(sbsmnsldt0(X1))
| ~ aSubsetOf0(esk6_1(X1),cS1395) ),
inference(equality_inference,[],[222]) ).
cnf(i_0_368,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
| X2 = sz00 ),
inference(equality_inference,[],[244]) ).
cnf(i_0_369,plain,
( ~ isPrime0(X1)
| ~ aInteger0(smndt0(sz10))
| ~ aDivisorOf0(X1,smndt0(sz10)) ),
inference(equality_inference,[],[245]) ).
cnf(i_0_370,plain,
( ~ aSet0(X1)
| aSet0(sbsmnsldt0(X1))
| aElementOf0(esk6_1(X1),X1) ),
inference(equality_inference,[],[250]) ).
cnf(i_0_371,plain,
( ~ isPrime0(X1)
| ~ aInteger0(sz10)
| ~ aDivisorOf0(X1,sz10) ),
inference(equality_inference,[],[253]) ).
cnf(i_0_372,plain,
( aSet0(stldt0(X1))
| ~ aSubsetOf0(X1,cS1395) ),
inference(equality_inference,[],[258]) ).
cnf(i_0_373,plain,
aElementOf0(smndt0(sz10),stldt0(sbsmnsldt0(xS))),
inference(equality_inference,[],[261]) ).
cnf(i_0_374,plain,
( ~ aInteger0(X1)
| ~ aDivisorOf0(sz00,X1) ),
inference(equality_inference,[],[262]) ).
cnf(i_0_375,plain,
aElementOf0(sz10,stldt0(sbsmnsldt0(xS))),
inference(equality_inference,[],[269]) ).
cnf(i_0_376,plain,
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,sz10) ),
inference(scs_inference,[],[i_0_300,i_0_371]) ).
cnf(i_0_377,plain,
aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,esk24_1(sz10)),stldt0(sbsmnsldt0(xS))),
inference(scs_inference,[],[i_0_375,i_0_161]) ).
cnf(i_0_378,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk24_1(X1)),stldt0(sbsmnsldt0(xS))) ),
inference(rename_variables,[],[i_0_161]) ).
cnf(i_0_379,plain,
aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,esk21_1(sz10)),stldt0(sbsmnsldt0(xS))),
inference(scs_inference,[],[i_0_375,i_0_161,i_0_162]) ).
cnf(i_0_380,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk21_1(X1)),stldt0(sbsmnsldt0(xS))) ),
inference(rename_variables,[],[i_0_162]) ).
cnf(i_0_381,plain,
~ aElementOf0(smndt0(sz10),sbsmnsldt0(xS)),
inference(scs_inference,[],[i_0_373,i_0_375,i_0_161,i_0_162,i_0_193]) ).
cnf(i_0_382,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(rename_variables,[],[i_0_193]) ).
cnf(i_0_383,plain,
aInteger0(esk24_1(smndt0(sz10))),
inference(scs_inference,[],[i_0_373,i_0_375,i_0_161,i_0_162,i_0_193,i_0_214]) ).
cnf(i_0_384,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aInteger0(esk24_1(X1)) ),
inference(rename_variables,[],[i_0_214]) ).
cnf(i_0_385,plain,
aInteger0(esk21_1(smndt0(sz10))),
inference(scs_inference,[],[i_0_373,i_0_375,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215]) ).
cnf(i_0_386,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aInteger0(esk21_1(X1)) ),
inference(rename_variables,[],[i_0_215]) ).
cnf(i_0_387,plain,
esk24_1(smndt0(sz10)) != sz00,
inference(scs_inference,[],[i_0_373,i_0_375,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223]) ).
cnf(i_0_388,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| esk24_1(X1) != sz00 ),
inference(rename_variables,[],[i_0_223]) ).
cnf(i_0_389,plain,
esk21_1(smndt0(sz10)) != sz00,
inference(scs_inference,[],[i_0_373,i_0_375,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224]) ).
cnf(i_0_390,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| esk21_1(X1) != sz00 ),
inference(rename_variables,[],[i_0_224]) ).
cnf(i_0_391,plain,
aInteger0(smndt0(sz10)),
inference(scs_inference,[],[i_0_373,i_0_375,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224,i_0_237]) ).
cnf(i_0_392,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aInteger0(X1) ),
inference(rename_variables,[],[i_0_237]) ).
cnf(i_0_393,plain,
cS2043 = xS,
inference(scs_inference,[],[i_0_373,i_0_375,i_0_304,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224,i_0_237,i_0_306]) ).
cnf(i_0_394,plain,
szAzrzSzezqlpdtcmdtrp0(sz10,xp) != cS2200,
inference(scs_inference,[],[i_0_373,i_0_375,i_0_284,i_0_304,i_0_260,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224,i_0_237,i_0_306,i_0_327]) ).
cnf(i_0_395,plain,
isFinite0(cS2043),
inference(scs_inference,[],[i_0_373,i_0_375,i_0_284,i_0_295,i_0_304,i_0_260,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224,i_0_237,i_0_306,i_0_327,i_0_328]) ).
cnf(i_0_396,plain,
aSet0(cS2043),
inference(scs_inference,[],[i_0_373,i_0_375,i_0_284,i_0_295,i_0_296,i_0_304,i_0_260,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224,i_0_237,i_0_306,i_0_327,i_0_328,i_0_330]) ).
cnf(i_0_397,plain,
isOpen0(cS2076),
inference(scs_inference,[],[i_0_373,i_0_375,i_0_284,i_0_295,i_0_296,i_0_304,i_0_260,i_0_293,i_0_286,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224,i_0_237,i_0_306,i_0_327,i_0_328,i_0_330,i_0_339]) ).
cnf(i_0_398,plain,
sdteqdtlpzmzozddtrp0(esk29_0,esk29_0,xp),
inference(scs_inference,[],[i_0_373,i_0_375,i_0_284,i_0_295,i_0_296,i_0_297,i_0_299,i_0_303,i_0_304,i_0_260,i_0_293,i_0_286,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224,i_0_237,i_0_306,i_0_327,i_0_328,i_0_330,i_0_339,i_0_189]) ).
cnf(i_0_399,plain,
( X1 = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X2,X2,X1) ),
inference(rename_variables,[],[i_0_189]) ).
cnf(i_0_400,plain,
~ aElementOf0(stldt0(sbsmnsldt0(xS)),xS),
inference(scs_inference,[],[i_0_373,i_0_375,i_0_284,i_0_295,i_0_296,i_0_297,i_0_299,i_0_303,i_0_304,i_0_260,i_0_293,i_0_286,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224,i_0_237,i_0_306,i_0_327,i_0_328,i_0_330,i_0_339,i_0_189,i_0_200]) ).
cnf(i_0_401,plain,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X2,xS)
| ~ aInteger0(X1)
| ~ aElementOf0(X1,X2) ),
inference(rename_variables,[],[i_0_200]) ).
cnf(i_0_402,plain,
aElementOf0(esk28_0,stldt0(sbsmnsldt0(xS))),
inference(scs_inference,[],[i_0_373,i_0_375,i_0_284,i_0_295,i_0_296,i_0_297,i_0_299,i_0_303,i_0_304,i_0_260,i_0_238,i_0_293,i_0_286,i_0_287,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224,i_0_237,i_0_306,i_0_327,i_0_328,i_0_330,i_0_339,i_0_189,i_0_200,i_0_202]) ).
cnf(i_0_403,plain,
( ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1) ),
inference(rename_variables,[],[i_0_202]) ).
cnf(i_0_404,plain,
aDivisorOf0(esk2_1(esk28_0),esk28_0),
inference(scs_inference,[],[i_0_373,i_0_375,i_0_284,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_302,i_0_303,i_0_304,i_0_260,i_0_238,i_0_294,i_0_293,i_0_286,i_0_287,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224,i_0_237,i_0_306,i_0_327,i_0_328,i_0_330,i_0_339,i_0_189,i_0_200,i_0_202,i_0_259]) ).
cnf(i_0_405,plain,
( X1 = smndt0(sz10)
| X1 = sz10
| aDivisorOf0(esk2_1(X1),X1)
| ~ aInteger0(X1) ),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_406,plain,
aSet0(szAzrzSzezqlpdtcmdtrp0(esk29_0,xp)),
inference(scs_inference,[],[i_0_373,i_0_375,i_0_284,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_302,i_0_303,i_0_304,i_0_260,i_0_238,i_0_294,i_0_293,i_0_286,i_0_287,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224,i_0_237,i_0_306,i_0_327,i_0_328,i_0_330,i_0_339,i_0_189,i_0_200,i_0_202,i_0_259,i_0_368]) ).
cnf(i_0_407,plain,
( X1 = sz00
| aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X1))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(rename_variables,[],[i_0_368]) ).
cnf(i_0_408,plain,
( ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,esk24_1(sz10)))
| sdtasdt0(esk24_1(sz10),esk25_2(sz10,X1)) = sdtpldt0(X1,smndt0(sz10)) ),
inference(scs_inference,[],[i_0_373,i_0_375,i_0_284,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_302,i_0_303,i_0_304,i_0_260,i_0_238,i_0_294,i_0_293,i_0_286,i_0_287,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224,i_0_237,i_0_306,i_0_327,i_0_328,i_0_330,i_0_339,i_0_189,i_0_200,i_0_202,i_0_259,i_0_368,i_0_107]) ).
cnf(i_0_409,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk24_1(X1)))
| sdtasdt0(esk24_1(X1),esk25_2(X1,X2)) = sdtpldt0(X2,smndt0(X1)) ),
inference(rename_variables,[],[i_0_107]) ).
cnf(i_0_410,plain,
aInteger0(esk2_1(esk28_0)),
inference(scs_inference,[],[i_0_373,i_0_375,i_0_284,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_302,i_0_303,i_0_304,i_0_260,i_0_238,i_0_294,i_0_293,i_0_286,i_0_287,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224,i_0_237,i_0_306,i_0_327,i_0_328,i_0_330,i_0_339,i_0_189,i_0_200,i_0_202,i_0_259,i_0_368,i_0_107,i_0_229,i_0_257]) ).
cnf(i_0_411,plain,
( ~ aInteger0(X1)
| aInteger0(X2)
| ~ aDivisorOf0(X2,X1) ),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_412,plain,
( ~ aElementOf0(xS,szAzrzSzezqlpdtcmdtrp0(sz10,esk24_1(sz10)))
| sdtasdt0(esk24_1(sz10),esk25_2(sz10,cS2043)) = sdtpldt0(cS2043,smndt0(sz10)) ),
inference(scs_inference,[],[i_0_373,i_0_375,i_0_284,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_302,i_0_303,i_0_304,i_0_260,i_0_238,i_0_294,i_0_293,i_0_286,i_0_287,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224,i_0_237,i_0_306,i_0_327,i_0_328,i_0_330,i_0_339,i_0_189,i_0_200,i_0_202,i_0_259,i_0_368,i_0_107,i_0_229,i_0_257,i_0_326]) ).
cnf(i_0_413,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,esk21_1(X1)))
| sdtasdt0(esk21_1(X1),esk22_2(X1,X2)) = sdtpldt0(X2,smndt0(X1)) ),
inference(rename_variables,[],[i_0_108]) ).
cnf(i_0_414,plain,
( ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(smndt0(sz10),esk21_1(smndt0(sz10))))
| sdtasdt0(esk24_1(sz10),esk25_2(sz10,cS2043)) = sdtpldt0(cS2043,smndt0(sz10))
| aDivisorOf0(esk21_1(smndt0(sz10)),sdtpldt0(X1,smndt0(smndt0(sz10)))) ),
inference(scs_inference,[],[i_0_373,i_0_375,i_0_284,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_302,i_0_303,i_0_304,i_0_260,i_0_238,i_0_294,i_0_293,i_0_286,i_0_287,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224,i_0_237,i_0_306,i_0_327,i_0_328,i_0_330,i_0_339,i_0_189,i_0_200,i_0_202,i_0_259,i_0_368,i_0_107,i_0_229,i_0_257,i_0_326,i_0_115]) ).
cnf(i_0_415,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| ~ sdteqdtlpzmzozddtrp0(X1,sz00,X2)
| X2 = sz00
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ),
inference(scs_inference,[],[i_0_400,i_0_127]) ).
cnf(i_0_416,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| X2 = sz00
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
| ~ aDivisorOf0(X2,sdtpldt0(X1,smndt0(sz00))) ),
inference(scs_inference,[],[i_0_400,i_0_136]) ).
cnf(i_0_417,plain,
( ~ aInteger0(X1)
| ~ isPrime0(X1)
| sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| X1 = sz00
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ),
inference(scs_inference,[],[i_0_400,i_0_139]) ).
cnf(i_0_418,plain,
( ~ aInteger0(X1)
| ~ isPrime0(X1)
| X1 = sz00
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) ),
inference(scs_inference,[],[i_0_400,i_0_141]) ).
cnf(i_0_419,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| ~ aInteger0(X3)
| X2 = sz00
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
| sdtasdt0(X2,X3) != sdtpldt0(X1,smndt0(sz00)) ),
inference(scs_inference,[],[i_0_400,i_0_144]) ).
cnf(i_0_420,plain,
( ~ aInteger0(X1)
| ~ isPrime0(X1)
| aInteger0(X2)
| X1 = sz00
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ),
inference(scs_inference,[],[i_0_400,i_0_174]) ).
cnf(i_0_421,plain,
( ~ aInteger0(X1)
| ~ isPrime0(X1)
| X1 = sz00
| aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ),
inference(scs_inference,[],[i_0_400,i_0_211]) ).
cnf(i_0_422,plain,
aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk28_0,esk24_1(esk28_0)),stldt0(sbsmnsldt0(xS))),
inference(scs_inference,[],[i_0_402,i_0_161]) ).
cnf(i_0_423,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk24_1(X1)),stldt0(sbsmnsldt0(xS))) ),
inference(rename_variables,[],[i_0_161]) ).
cnf(i_0_424,plain,
aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk28_0,esk21_1(esk28_0)),stldt0(sbsmnsldt0(xS))),
inference(scs_inference,[],[i_0_402,i_0_161,i_0_162]) ).
cnf(i_0_425,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk21_1(X1)),stldt0(sbsmnsldt0(xS))) ),
inference(rename_variables,[],[i_0_162]) ).
cnf(i_0_426,plain,
~ aElementOf0(esk28_0,sbsmnsldt0(xS)),
inference(scs_inference,[],[i_0_402,i_0_161,i_0_162,i_0_193]) ).
cnf(i_0_427,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(rename_variables,[],[i_0_193]) ).
cnf(i_0_428,plain,
aInteger0(esk24_1(esk28_0)),
inference(scs_inference,[],[i_0_402,i_0_161,i_0_162,i_0_193,i_0_214]) ).
cnf(i_0_429,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aInteger0(esk24_1(X1)) ),
inference(rename_variables,[],[i_0_214]) ).
cnf(i_0_430,plain,
aInteger0(esk21_1(esk28_0)),
inference(scs_inference,[],[i_0_402,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215]) ).
cnf(i_0_431,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aInteger0(esk21_1(X1)) ),
inference(rename_variables,[],[i_0_215]) ).
cnf(i_0_432,plain,
esk24_1(esk28_0) != sz00,
inference(scs_inference,[],[i_0_402,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223]) ).
cnf(i_0_433,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| esk24_1(X1) != sz00 ),
inference(rename_variables,[],[i_0_223]) ).
cnf(i_0_434,plain,
esk21_1(esk28_0) != sz00,
inference(scs_inference,[],[i_0_402,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224]) ).
cnf(i_0_435,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| esk21_1(X1) != sz00 ),
inference(rename_variables,[],[i_0_224]) ).
cnf(i_0_436,plain,
sdtpldt0(esk28_0,smndt0(sz10)) = sdtasdt0(xp,esk29_0),
inference(scs_inference,[],[i_0_275,i_0_402,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224,i_0_306]) ).
cnf(i_0_437,plain,
aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,esk24_1(sz10))),
inference(scs_inference,[],[i_0_275,i_0_287,i_0_377,i_0_402,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224,i_0_306,i_0_256]) ).
cnf(i_0_438,plain,
( ~ aSet0(X1)
| aSet0(X2)
| ~ aSubsetOf0(X2,X1) ),
inference(rename_variables,[],[i_0_256]) ).
cnf(i_0_439,plain,
$false,
inference(scs_inference,[],[i_0_275,i_0_287,i_0_377,i_0_402,i_0_302,i_0_294,i_0_161,i_0_162,i_0_193,i_0_214,i_0_215,i_0_223,i_0_224,i_0_306,i_0_256,i_0_229]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM456+6 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32 % Computer : n014.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 00:35:21 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.44/5.62 % Version : CSE_E---1.7
% 0.44/5.62 % Problem : theBenchmark.p
% 0.44/5.62 % SZS status Theorem for theBenchmark.p
% 0.44/5.62 % SZS output start CNFRefutation
% See solution above
% 0.63/5.85 % Total time : 5.283s
%------------------------------------------------------------------------------