%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM450+6 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n023.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 04:57:22 PM UTC 2026
% Result : Theorem 0.46s 1.61s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 107)
% 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/sandbox/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/sandbox/benchmark/theBenchmark.p',mComplement) ).
fof(m__,conjecture,
? [X1] :
( aInteger0(X1)
& X1 != sz00
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz10)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X2,sz10,X1) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz10)) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(X2,sz10,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)) ) ) )
=> ( ( aSet0(sbsmnsldt0(xS))
& ! [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
<=> ( aInteger0(X2)
& ? [X3] :
( aElementOf0(X3,xS)
& aElementOf0(X2,X3) ) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X2)
& ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
=> ( ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
=> aElementOf0(X2,stldt0(sbsmnsldt0(xS))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X1),stldt0(sbsmnsldt0(xS))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mDivisor) ).
fof(mEquModRef,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> sdteqdtlpzmzozddtrp0(X1,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mArSeqClosed) ).
fof(mIntMult,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntMult) ).
fof(mIntPlus,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntPlus) ).
fof(mPrimeDivisor,axiom,
! [X1] :
( aInteger0(X1)
=> ( ? [X2] :
( aDivisorOf0(X2,X1)
& isPrime0(X2) )
<=> ( X1 != sz10
& X1 != smndt0(sz10) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimeDivisor) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(mClosed,axiom,
! [X1] :
( aSubsetOf0(X1,cS1395)
=> ( isClosed0(X1)
<=> isOpen0(stldt0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mClosed) ).
fof(mZeroDiv,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mMulMinOne) ).
fof(mAddNeg,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).
fof(mMulOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulOne) ).
fof(mAddZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(mMulZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
fof(mIntNeg,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
fof(m__2117,hypothesis,
isFinite0(xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2117) ).
fof(mIntOne,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntOne) ).
fof(mIntZero,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).
fof(i_0_41,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_42,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_43,negated_conjecture,
~ ? [X1] :
( aInteger0(X1)
& X1 != sz00
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz10)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X2,sz10,X1) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz10)) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(X2,sz10,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)) ) ) )
=> ( ( aSet0(sbsmnsldt0(xS))
& ! [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
<=> ( aInteger0(X2)
& ? [X3] :
( aElementOf0(X3,xS)
& aElementOf0(X2,X3) ) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X2)
& ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
=> ( ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
=> aElementOf0(X2,stldt0(sbsmnsldt0(xS))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X1),stldt0(sbsmnsldt0(xS))) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(i_0_44,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_45,plain,
! [X194,X195,X196,X197,X198,X199] :
( ( aSet0(X196)
| X196 != sdtslmnbsdt0(X194,X195)
| ~ aSubsetOf0(X194,cS1395)
| ~ aSubsetOf0(X195,cS1395) )
& ( aInteger0(X197)
| ~ aElementOf0(X197,X196)
| X196 != sdtslmnbsdt0(X194,X195)
| ~ aSubsetOf0(X194,cS1395)
| ~ aSubsetOf0(X195,cS1395) )
& ( aElementOf0(X197,X194)
| ~ aElementOf0(X197,X196)
| X196 != sdtslmnbsdt0(X194,X195)
| ~ aSubsetOf0(X194,cS1395)
| ~ aSubsetOf0(X195,cS1395) )
& ( aElementOf0(X197,X195)
| ~ aElementOf0(X197,X196)
| X196 != sdtslmnbsdt0(X194,X195)
| ~ aSubsetOf0(X194,cS1395)
| ~ aSubsetOf0(X195,cS1395) )
& ( ~ aInteger0(X198)
| ~ aElementOf0(X198,X194)
| ~ aElementOf0(X198,X195)
| aElementOf0(X198,X196)
| X196 != sdtslmnbsdt0(X194,X195)
| ~ aSubsetOf0(X194,cS1395)
| ~ aSubsetOf0(X195,cS1395) )
& ( ~ aElementOf0(esk5_3(X194,X195,X199),X199)
| ~ aInteger0(esk5_3(X194,X195,X199))
| ~ aElementOf0(esk5_3(X194,X195,X199),X194)
| ~ aElementOf0(esk5_3(X194,X195,X199),X195)
| ~ aSet0(X199)
| X199 = sdtslmnbsdt0(X194,X195)
| ~ aSubsetOf0(X194,cS1395)
| ~ aSubsetOf0(X195,cS1395) )
& ( aInteger0(esk5_3(X194,X195,X199))
| aElementOf0(esk5_3(X194,X195,X199),X199)
| ~ aSet0(X199)
| X199 = sdtslmnbsdt0(X194,X195)
| ~ aSubsetOf0(X194,cS1395)
| ~ aSubsetOf0(X195,cS1395) )
& ( aElementOf0(esk5_3(X194,X195,X199),X194)
| aElementOf0(esk5_3(X194,X195,X199),X199)
| ~ aSet0(X199)
| X199 = sdtslmnbsdt0(X194,X195)
| ~ aSubsetOf0(X194,cS1395)
| ~ aSubsetOf0(X195,cS1395) )
& ( aElementOf0(esk5_3(X194,X195,X199),X195)
| aElementOf0(esk5_3(X194,X195,X199),X199)
| ~ aSet0(X199)
| X199 = sdtslmnbsdt0(X194,X195)
| ~ aSubsetOf0(X194,cS1395)
| ~ aSubsetOf0(X195,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_46,plain,
! [X218,X219,X220,X221,X222,X223] :
( ( aSet0(X220)
| X220 != szAzrzSzezqlpdtcmdtrp0(X218,X219)
| ~ aInteger0(X218)
| ~ aInteger0(X219)
| X219 = sz00 )
& ( aInteger0(X221)
| ~ aElementOf0(X221,X220)
| X220 != szAzrzSzezqlpdtcmdtrp0(X218,X219)
| ~ aInteger0(X218)
| ~ aInteger0(X219)
| X219 = sz00 )
& ( sdteqdtlpzmzozddtrp0(X221,X218,X219)
| ~ aElementOf0(X221,X220)
| X220 != szAzrzSzezqlpdtcmdtrp0(X218,X219)
| ~ aInteger0(X218)
| ~ aInteger0(X219)
| X219 = sz00 )
& ( ~ aInteger0(X222)
| ~ sdteqdtlpzmzozddtrp0(X222,X218,X219)
| aElementOf0(X222,X220)
| X220 != szAzrzSzezqlpdtcmdtrp0(X218,X219)
| ~ aInteger0(X218)
| ~ aInteger0(X219)
| X219 = sz00 )
& ( ~ aElementOf0(esk11_3(X218,X219,X223),X223)
| ~ aInteger0(esk11_3(X218,X219,X223))
| ~ sdteqdtlpzmzozddtrp0(esk11_3(X218,X219,X223),X218,X219)
| ~ aSet0(X223)
| X223 = szAzrzSzezqlpdtcmdtrp0(X218,X219)
| ~ aInteger0(X218)
| ~ aInteger0(X219)
| X219 = sz00 )
& ( aInteger0(esk11_3(X218,X219,X223))
| aElementOf0(esk11_3(X218,X219,X223),X223)
| ~ aSet0(X223)
| X223 = szAzrzSzezqlpdtcmdtrp0(X218,X219)
| ~ aInteger0(X218)
| ~ aInteger0(X219)
| X219 = sz00 )
& ( sdteqdtlpzmzozddtrp0(esk11_3(X218,X219,X223),X218,X219)
| aElementOf0(esk11_3(X218,X219,X223),X223)
| ~ aSet0(X223)
| X223 = szAzrzSzezqlpdtcmdtrp0(X218,X219)
| ~ aInteger0(X218)
| ~ aInteger0(X219)
| X219 = 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_47,plain,
! [X187,X188,X189,X190,X191,X192] :
( ( aSet0(X189)
| X189 != sdtbsmnsldt0(X187,X188)
| ~ aSubsetOf0(X187,cS1395)
| ~ aSubsetOf0(X188,cS1395) )
& ( aInteger0(X190)
| ~ aElementOf0(X190,X189)
| X189 != sdtbsmnsldt0(X187,X188)
| ~ aSubsetOf0(X187,cS1395)
| ~ aSubsetOf0(X188,cS1395) )
& ( aElementOf0(X190,X187)
| aElementOf0(X190,X188)
| ~ aElementOf0(X190,X189)
| X189 != sdtbsmnsldt0(X187,X188)
| ~ aSubsetOf0(X187,cS1395)
| ~ aSubsetOf0(X188,cS1395) )
& ( ~ aElementOf0(X191,X187)
| ~ aInteger0(X191)
| aElementOf0(X191,X189)
| X189 != sdtbsmnsldt0(X187,X188)
| ~ aSubsetOf0(X187,cS1395)
| ~ aSubsetOf0(X188,cS1395) )
& ( ~ aElementOf0(X191,X188)
| ~ aInteger0(X191)
| aElementOf0(X191,X189)
| X189 != sdtbsmnsldt0(X187,X188)
| ~ aSubsetOf0(X187,cS1395)
| ~ aSubsetOf0(X188,cS1395) )
& ( ~ aElementOf0(esk4_3(X187,X188,X192),X187)
| ~ aInteger0(esk4_3(X187,X188,X192))
| ~ aElementOf0(esk4_3(X187,X188,X192),X192)
| ~ aSet0(X192)
| X192 = sdtbsmnsldt0(X187,X188)
| ~ aSubsetOf0(X187,cS1395)
| ~ aSubsetOf0(X188,cS1395) )
& ( ~ aElementOf0(esk4_3(X187,X188,X192),X188)
| ~ aInteger0(esk4_3(X187,X188,X192))
| ~ aElementOf0(esk4_3(X187,X188,X192),X192)
| ~ aSet0(X192)
| X192 = sdtbsmnsldt0(X187,X188)
| ~ aSubsetOf0(X187,cS1395)
| ~ aSubsetOf0(X188,cS1395) )
& ( aInteger0(esk4_3(X187,X188,X192))
| aElementOf0(esk4_3(X187,X188,X192),X192)
| ~ aSet0(X192)
| X192 = sdtbsmnsldt0(X187,X188)
| ~ aSubsetOf0(X187,cS1395)
| ~ aSubsetOf0(X188,cS1395) )
& ( aElementOf0(esk4_3(X187,X188,X192),X187)
| aElementOf0(esk4_3(X187,X188,X192),X188)
| aElementOf0(esk4_3(X187,X188,X192),X192)
| ~ aSet0(X192)
| X192 = sdtbsmnsldt0(X187,X188)
| ~ aSubsetOf0(X187,cS1395)
| ~ aSubsetOf0(X188,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_48,plain,
! [X171,X172,X173,X174] :
( ~ aInteger0(X171)
| ~ aInteger0(X172)
| ~ aInteger0(X173)
| X173 = sz00
| ~ aInteger0(X174)
| ~ sdteqdtlpzmzozddtrp0(X171,X172,X173)
| ~ sdteqdtlpzmzozddtrp0(X172,X174,X173)
| sdteqdtlpzmzozddtrp0(X171,X174,X173) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquModTrn])]) ).
fof(i_0_49,plain,
! [X201,X203,X204,X206,X207,X208,X210] :
( ( aSet0(X203)
| X203 != sbsmnsldt0(X201)
| aElementOf0(esk6_1(X201),X201)
| ~ aSet0(X201) )
& ( aInteger0(X204)
| ~ aElementOf0(X204,X203)
| X203 != sbsmnsldt0(X201)
| aElementOf0(esk6_1(X201),X201)
| ~ aSet0(X201) )
& ( aElementOf0(esk7_3(X201,X203,X204),X201)
| ~ aElementOf0(X204,X203)
| X203 != sbsmnsldt0(X201)
| aElementOf0(esk6_1(X201),X201)
| ~ aSet0(X201) )
& ( aElementOf0(X204,esk7_3(X201,X203,X204))
| ~ aElementOf0(X204,X203)
| X203 != sbsmnsldt0(X201)
| aElementOf0(esk6_1(X201),X201)
| ~ aSet0(X201) )
& ( ~ aInteger0(X206)
| ~ aElementOf0(X207,X201)
| ~ aElementOf0(X206,X207)
| aElementOf0(X206,X203)
| X203 != sbsmnsldt0(X201)
| aElementOf0(esk6_1(X201),X201)
| ~ aSet0(X201) )
& ( ~ aElementOf0(esk8_2(X201,X208),X208)
| ~ aInteger0(esk8_2(X201,X208))
| ~ aElementOf0(X210,X201)
| ~ aElementOf0(esk8_2(X201,X208),X210)
| ~ aSet0(X208)
| X208 = sbsmnsldt0(X201)
| aElementOf0(esk6_1(X201),X201)
| ~ aSet0(X201) )
& ( aInteger0(esk8_2(X201,X208))
| aElementOf0(esk8_2(X201,X208),X208)
| ~ aSet0(X208)
| X208 = sbsmnsldt0(X201)
| aElementOf0(esk6_1(X201),X201)
| ~ aSet0(X201) )
& ( aElementOf0(esk9_2(X201,X208),X201)
| aElementOf0(esk8_2(X201,X208),X208)
| ~ aSet0(X208)
| X208 = sbsmnsldt0(X201)
| aElementOf0(esk6_1(X201),X201)
| ~ aSet0(X201) )
& ( aElementOf0(esk8_2(X201,X208),esk9_2(X201,X208))
| aElementOf0(esk8_2(X201,X208),X208)
| ~ aSet0(X208)
| X208 = sbsmnsldt0(X201)
| aElementOf0(esk6_1(X201),X201)
| ~ aSet0(X201) )
& ( aSet0(X203)
| X203 != sbsmnsldt0(X201)
| ~ aSubsetOf0(esk6_1(X201),cS1395)
| ~ aSet0(X201) )
& ( aInteger0(X204)
| ~ aElementOf0(X204,X203)
| X203 != sbsmnsldt0(X201)
| ~ aSubsetOf0(esk6_1(X201),cS1395)
| ~ aSet0(X201) )
& ( aElementOf0(esk7_3(X201,X203,X204),X201)
| ~ aElementOf0(X204,X203)
| X203 != sbsmnsldt0(X201)
| ~ aSubsetOf0(esk6_1(X201),cS1395)
| ~ aSet0(X201) )
& ( aElementOf0(X204,esk7_3(X201,X203,X204))
| ~ aElementOf0(X204,X203)
| X203 != sbsmnsldt0(X201)
| ~ aSubsetOf0(esk6_1(X201),cS1395)
| ~ aSet0(X201) )
& ( ~ aInteger0(X206)
| ~ aElementOf0(X207,X201)
| ~ aElementOf0(X206,X207)
| aElementOf0(X206,X203)
| X203 != sbsmnsldt0(X201)
| ~ aSubsetOf0(esk6_1(X201),cS1395)
| ~ aSet0(X201) )
& ( ~ aElementOf0(esk8_2(X201,X208),X208)
| ~ aInteger0(esk8_2(X201,X208))
| ~ aElementOf0(X210,X201)
| ~ aElementOf0(esk8_2(X201,X208),X210)
| ~ aSet0(X208)
| X208 = sbsmnsldt0(X201)
| ~ aSubsetOf0(esk6_1(X201),cS1395)
| ~ aSet0(X201) )
& ( aInteger0(esk8_2(X201,X208))
| aElementOf0(esk8_2(X201,X208),X208)
| ~ aSet0(X208)
| X208 = sbsmnsldt0(X201)
| ~ aSubsetOf0(esk6_1(X201),cS1395)
| ~ aSet0(X201) )
& ( aElementOf0(esk9_2(X201,X208),X201)
| aElementOf0(esk8_2(X201,X208),X208)
| ~ aSet0(X208)
| X208 = sbsmnsldt0(X201)
| ~ aSubsetOf0(esk6_1(X201),cS1395)
| ~ aSet0(X201) )
& ( aElementOf0(esk8_2(X201,X208),esk9_2(X201,X208))
| aElementOf0(esk8_2(X201,X208),X208)
| ~ aSet0(X208)
| X208 = sbsmnsldt0(X201)
| ~ aSubsetOf0(esk6_1(X201),cS1395)
| ~ aSet0(X201) ) ),
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_50,hypothesis,
! [X241,X243,X245,X246,X247,X248,X249,X251,X252] :
( aSet0(xS)
& ( aInteger0(esk16_1(X241))
| ~ aElementOf0(X241,xS) )
& ( esk16_1(X241) != sz00
| ~ aElementOf0(X241,xS) )
& ( isPrime0(esk16_1(X241))
| ~ aElementOf0(X241,xS) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X241)))
| ~ aElementOf0(X241,xS) )
& ( aInteger0(X243)
| ~ aElementOf0(X243,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X241)))
| ~ aElementOf0(X241,xS) )
& ( aInteger0(esk17_2(X241,X243))
| ~ aElementOf0(X243,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X241)))
| ~ aElementOf0(X241,xS) )
& ( sdtasdt0(esk16_1(X241),esk17_2(X241,X243)) = sdtpldt0(X243,smndt0(sz00))
| ~ aElementOf0(X243,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X241)))
| ~ aElementOf0(X241,xS) )
& ( aDivisorOf0(esk16_1(X241),sdtpldt0(X243,smndt0(sz00)))
| ~ aElementOf0(X243,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X241)))
| ~ aElementOf0(X241,xS) )
& ( sdteqdtlpzmzozddtrp0(X243,sz00,esk16_1(X241))
| ~ aElementOf0(X243,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X241)))
| ~ aElementOf0(X241,xS) )
& ( ~ aInteger0(X246)
| sdtasdt0(esk16_1(X241),X246) != sdtpldt0(X245,smndt0(sz00))
| ~ aInteger0(X245)
| aElementOf0(X245,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X241)))
| ~ aElementOf0(X241,xS) )
& ( ~ aDivisorOf0(esk16_1(X241),sdtpldt0(X245,smndt0(sz00)))
| ~ aInteger0(X245)
| aElementOf0(X245,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X241)))
| ~ aElementOf0(X241,xS) )
& ( ~ sdteqdtlpzmzozddtrp0(X245,sz00,esk16_1(X241))
| ~ aInteger0(X245)
| aElementOf0(X245,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X241)))
| ~ aElementOf0(X241,xS) )
& ( szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X241)) = X241
| ~ aElementOf0(X241,xS) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X248))
| ~ aInteger0(X248)
| X248 = sz00
| ~ isPrime0(X248)
| aElementOf0(X247,xS) )
& ( aInteger0(X249)
| ~ aElementOf0(X249,szAzrzSzezqlpdtcmdtrp0(sz00,X248))
| ~ aInteger0(X248)
| X248 = sz00
| ~ isPrime0(X248)
| aElementOf0(X247,xS) )
& ( aInteger0(esk18_3(X247,X248,X249))
| ~ aElementOf0(X249,szAzrzSzezqlpdtcmdtrp0(sz00,X248))
| ~ aInteger0(X248)
| X248 = sz00
| ~ isPrime0(X248)
| aElementOf0(X247,xS) )
& ( sdtasdt0(X248,esk18_3(X247,X248,X249)) = sdtpldt0(X249,smndt0(sz00))
| ~ aElementOf0(X249,szAzrzSzezqlpdtcmdtrp0(sz00,X248))
| ~ aInteger0(X248)
| X248 = sz00
| ~ isPrime0(X248)
| aElementOf0(X247,xS) )
& ( aDivisorOf0(X248,sdtpldt0(X249,smndt0(sz00)))
| ~ aElementOf0(X249,szAzrzSzezqlpdtcmdtrp0(sz00,X248))
| ~ aInteger0(X248)
| X248 = sz00
| ~ isPrime0(X248)
| aElementOf0(X247,xS) )
& ( sdteqdtlpzmzozddtrp0(X249,sz00,X248)
| ~ aElementOf0(X249,szAzrzSzezqlpdtcmdtrp0(sz00,X248))
| ~ aInteger0(X248)
| X248 = sz00
| ~ isPrime0(X248)
| aElementOf0(X247,xS) )
& ( ~ aInteger0(X252)
| sdtasdt0(X248,X252) != sdtpldt0(X251,smndt0(sz00))
| ~ aInteger0(X251)
| aElementOf0(X251,szAzrzSzezqlpdtcmdtrp0(sz00,X248))
| ~ aInteger0(X248)
| X248 = sz00
| ~ isPrime0(X248)
| aElementOf0(X247,xS) )
& ( ~ aDivisorOf0(X248,sdtpldt0(X251,smndt0(sz00)))
| ~ aInteger0(X251)
| aElementOf0(X251,szAzrzSzezqlpdtcmdtrp0(sz00,X248))
| ~ aInteger0(X248)
| X248 = sz00
| ~ isPrime0(X248)
| aElementOf0(X247,xS) )
& ( ~ sdteqdtlpzmzozddtrp0(X251,sz00,X248)
| ~ aInteger0(X251)
| aElementOf0(X251,szAzrzSzezqlpdtcmdtrp0(sz00,X248))
| ~ aInteger0(X248)
| X248 = sz00
| ~ isPrime0(X248)
| aElementOf0(X247,xS) )
& ( szAzrzSzezqlpdtcmdtrp0(sz00,X248) != X247
| ~ aInteger0(X248)
| X248 = sz00
| ~ isPrime0(X248)
| aElementOf0(X247,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_51,plain,
! [X175,X176,X177,X178] :
( ( sdteqdtlpzmzozddtrp0(X175,X176,X177)
| ~ sdteqdtlpzmzozddtrp0(X175,X176,sdtasdt0(X177,X178))
| ~ aInteger0(X175)
| ~ aInteger0(X176)
| ~ aInteger0(X177)
| X177 = sz00
| ~ aInteger0(X178)
| X178 = sz00 )
& ( sdteqdtlpzmzozddtrp0(X175,X176,X178)
| ~ sdteqdtlpzmzozddtrp0(X175,X176,sdtasdt0(X177,X178))
| ~ aInteger0(X175)
| ~ aInteger0(X176)
| ~ aInteger0(X177)
| X177 = sz00
| ~ aInteger0(X178)
| X178 = sz00 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquModMul])])]) ).
fof(i_0_52,hypothesis,
! [X259,X261,X262,X263,X264,X266,X268,X269,X270,X271,X273,X274,X275,X276,X278,X280,X281,X282] :
( aSet0(sbsmnsldt0(xS))
& ( aInteger0(X259)
| ~ aElementOf0(X259,sbsmnsldt0(xS)) )
& ( aElementOf0(esk20_1(X259),xS)
| ~ aElementOf0(X259,sbsmnsldt0(xS)) )
& ( aElementOf0(X259,esk20_1(X259))
| ~ aElementOf0(X259,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X261)
| ~ aElementOf0(X262,xS)
| ~ aElementOf0(X261,X262)
| aElementOf0(X261,sbsmnsldt0(xS)) )
& ( aInteger0(X263)
| ~ aElementOf0(X263,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X263,sbsmnsldt0(xS))
| ~ aElementOf0(X263,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X263)
| aElementOf0(X263,sbsmnsldt0(xS))
| aElementOf0(X263,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(esk21_1(X264))
| ~ aElementOf0(X264,stldt0(sbsmnsldt0(xS))) )
& ( esk21_1(X264) != sz00
| ~ aElementOf0(X264,stldt0(sbsmnsldt0(xS))) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X264,esk21_1(X264)))
| ~ aElementOf0(X264,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(X266)
| ~ aElementOf0(X266,szAzrzSzezqlpdtcmdtrp0(X264,esk21_1(X264)))
| ~ aElementOf0(X264,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(esk22_2(X264,X266))
| ~ aElementOf0(X266,szAzrzSzezqlpdtcmdtrp0(X264,esk21_1(X264)))
| ~ aElementOf0(X264,stldt0(sbsmnsldt0(xS))) )
& ( sdtasdt0(esk21_1(X264),esk22_2(X264,X266)) = sdtpldt0(X266,smndt0(X264))
| ~ aElementOf0(X266,szAzrzSzezqlpdtcmdtrp0(X264,esk21_1(X264)))
| ~ aElementOf0(X264,stldt0(sbsmnsldt0(xS))) )
& ( aDivisorOf0(esk21_1(X264),sdtpldt0(X266,smndt0(X264)))
| ~ aElementOf0(X266,szAzrzSzezqlpdtcmdtrp0(X264,esk21_1(X264)))
| ~ aElementOf0(X264,stldt0(sbsmnsldt0(xS))) )
& ( sdteqdtlpzmzozddtrp0(X266,X264,esk21_1(X264))
| ~ aElementOf0(X266,szAzrzSzezqlpdtcmdtrp0(X264,esk21_1(X264)))
| ~ aElementOf0(X264,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X269)
| sdtasdt0(esk21_1(X264),X269) != sdtpldt0(X268,smndt0(X264))
| ~ aInteger0(X268)
| aElementOf0(X268,szAzrzSzezqlpdtcmdtrp0(X264,esk21_1(X264)))
| ~ aElementOf0(X264,stldt0(sbsmnsldt0(xS))) )
& ( ~ aDivisorOf0(esk21_1(X264),sdtpldt0(X268,smndt0(X264)))
| ~ aInteger0(X268)
| aElementOf0(X268,szAzrzSzezqlpdtcmdtrp0(X264,esk21_1(X264)))
| ~ aElementOf0(X264,stldt0(sbsmnsldt0(xS))) )
& ( ~ sdteqdtlpzmzozddtrp0(X268,X264,esk21_1(X264))
| ~ aInteger0(X268)
| aElementOf0(X268,szAzrzSzezqlpdtcmdtrp0(X264,esk21_1(X264)))
| ~ aElementOf0(X264,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X270,szAzrzSzezqlpdtcmdtrp0(X264,esk21_1(X264)))
| aElementOf0(X270,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X264,stldt0(sbsmnsldt0(xS))) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X264,esk21_1(X264)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X264,stldt0(sbsmnsldt0(xS))) )
& isOpen0(stldt0(sbsmnsldt0(xS)))
& isClosed0(sbsmnsldt0(xS))
& aSet0(sbsmnsldt0(xS))
& ( aInteger0(X271)
| ~ aElementOf0(X271,sbsmnsldt0(xS)) )
& ( aElementOf0(esk23_1(X271),xS)
| ~ aElementOf0(X271,sbsmnsldt0(xS)) )
& ( aElementOf0(X271,esk23_1(X271))
| ~ aElementOf0(X271,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X273)
| ~ aElementOf0(X274,xS)
| ~ aElementOf0(X273,X274)
| aElementOf0(X273,sbsmnsldt0(xS)) )
& ( aInteger0(X275)
| ~ aElementOf0(X275,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X275,sbsmnsldt0(xS))
| ~ aElementOf0(X275,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X275)
| aElementOf0(X275,sbsmnsldt0(xS))
| aElementOf0(X275,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(esk24_1(X276))
| ~ aElementOf0(X276,stldt0(sbsmnsldt0(xS))) )
& ( esk24_1(X276) != sz00
| ~ aElementOf0(X276,stldt0(sbsmnsldt0(xS))) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X276,esk24_1(X276)))
| ~ aElementOf0(X276,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(X278)
| ~ aElementOf0(X278,szAzrzSzezqlpdtcmdtrp0(X276,esk24_1(X276)))
| ~ aElementOf0(X276,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(esk25_2(X276,X278))
| ~ aElementOf0(X278,szAzrzSzezqlpdtcmdtrp0(X276,esk24_1(X276)))
| ~ aElementOf0(X276,stldt0(sbsmnsldt0(xS))) )
& ( sdtasdt0(esk24_1(X276),esk25_2(X276,X278)) = sdtpldt0(X278,smndt0(X276))
| ~ aElementOf0(X278,szAzrzSzezqlpdtcmdtrp0(X276,esk24_1(X276)))
| ~ aElementOf0(X276,stldt0(sbsmnsldt0(xS))) )
& ( aDivisorOf0(esk24_1(X276),sdtpldt0(X278,smndt0(X276)))
| ~ aElementOf0(X278,szAzrzSzezqlpdtcmdtrp0(X276,esk24_1(X276)))
| ~ aElementOf0(X276,stldt0(sbsmnsldt0(xS))) )
& ( sdteqdtlpzmzozddtrp0(X278,X276,esk24_1(X276))
| ~ aElementOf0(X278,szAzrzSzezqlpdtcmdtrp0(X276,esk24_1(X276)))
| ~ aElementOf0(X276,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X281)
| sdtasdt0(esk24_1(X276),X281) != sdtpldt0(X280,smndt0(X276))
| ~ aInteger0(X280)
| aElementOf0(X280,szAzrzSzezqlpdtcmdtrp0(X276,esk24_1(X276)))
| ~ aElementOf0(X276,stldt0(sbsmnsldt0(xS))) )
& ( ~ aDivisorOf0(esk24_1(X276),sdtpldt0(X280,smndt0(X276)))
| ~ aInteger0(X280)
| aElementOf0(X280,szAzrzSzezqlpdtcmdtrp0(X276,esk24_1(X276)))
| ~ aElementOf0(X276,stldt0(sbsmnsldt0(xS))) )
& ( ~ sdteqdtlpzmzozddtrp0(X280,X276,esk24_1(X276))
| ~ aInteger0(X280)
| aElementOf0(X280,szAzrzSzezqlpdtcmdtrp0(X276,esk24_1(X276)))
| ~ aElementOf0(X276,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X282,szAzrzSzezqlpdtcmdtrp0(X276,esk24_1(X276)))
| aElementOf0(X282,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X276,stldt0(sbsmnsldt0(xS))) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X276,esk24_1(X276)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X276,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_41])])])])])]) ).
fof(i_0_53,plain,
! [X212,X213,X214,X215,X216] :
( ( aSet0(X213)
| X213 != stldt0(X212)
| ~ aSubsetOf0(X212,cS1395) )
& ( aInteger0(X214)
| ~ aElementOf0(X214,X213)
| X213 != stldt0(X212)
| ~ aSubsetOf0(X212,cS1395) )
& ( ~ aElementOf0(X214,X212)
| ~ aElementOf0(X214,X213)
| X213 != stldt0(X212)
| ~ aSubsetOf0(X212,cS1395) )
& ( ~ aInteger0(X215)
| aElementOf0(X215,X212)
| aElementOf0(X215,X213)
| X213 != stldt0(X212)
| ~ aSubsetOf0(X212,cS1395) )
& ( ~ aElementOf0(esk10_2(X212,X216),X216)
| ~ aInteger0(esk10_2(X212,X216))
| aElementOf0(esk10_2(X212,X216),X212)
| ~ aSet0(X216)
| X216 = stldt0(X212)
| ~ aSubsetOf0(X212,cS1395) )
& ( aInteger0(esk10_2(X212,X216))
| aElementOf0(esk10_2(X212,X216),X216)
| ~ aSet0(X216)
| X216 = stldt0(X212)
| ~ aSubsetOf0(X212,cS1395) )
& ( ~ aElementOf0(esk10_2(X212,X216),X212)
| aElementOf0(esk10_2(X212,X216),X216)
| ~ aSet0(X216)
| X216 = stldt0(X212)
| ~ aSubsetOf0(X212,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_42])])])])])]) ).
fof(i_0_54,plain,
! [X168,X169,X170] :
( ~ aInteger0(X168)
| ~ aInteger0(X169)
| ~ aInteger0(X170)
| X170 = sz00
| ~ sdteqdtlpzmzozddtrp0(X168,X169,X170)
| sdteqdtlpzmzozddtrp0(X169,X168,X170) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquModSym])]) ).
fof(i_0_55,plain,
! [X163,X164,X165] :
( ( ~ sdteqdtlpzmzozddtrp0(X163,X164,X165)
| aDivisorOf0(X165,sdtpldt0(X163,smndt0(X164)))
| ~ aInteger0(X163)
| ~ aInteger0(X164)
| ~ aInteger0(X165)
| X165 = sz00 )
& ( ~ aDivisorOf0(X165,sdtpldt0(X163,smndt0(X164)))
| sdteqdtlpzmzozddtrp0(X163,X164,X165)
| ~ aInteger0(X163)
| ~ aInteger0(X164)
| ~ aInteger0(X165)
| X165 = sz00 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquMod])])]) ).
fof(i_0_56,plain,
! [X225,X226,X229] :
( ( aInteger0(esk12_2(X225,X226))
| ~ aElementOf0(X226,X225)
| ~ isOpen0(X225)
| ~ aSubsetOf0(X225,cS1395) )
& ( esk12_2(X225,X226) != sz00
| ~ aElementOf0(X226,X225)
| ~ isOpen0(X225)
| ~ aSubsetOf0(X225,cS1395) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X226,esk12_2(X225,X226)),X225)
| ~ aElementOf0(X226,X225)
| ~ isOpen0(X225)
| ~ aSubsetOf0(X225,cS1395) )
& ( aElementOf0(esk13_1(X225),X225)
| isOpen0(X225)
| ~ aSubsetOf0(X225,cS1395) )
& ( ~ aInteger0(X229)
| X229 = sz00
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk13_1(X225),X229),X225)
| isOpen0(X225)
| ~ aSubsetOf0(X225,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_57,negated_conjecture,
! [X283,X284,X286,X287,X288,X290,X291,X292,X293] :
( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X283))
| ~ aInteger0(X283)
| X283 = sz00 )
& ( aInteger0(X284)
| ~ aElementOf0(X284,szAzrzSzezqlpdtcmdtrp0(sz10,X283))
| ~ aInteger0(X283)
| X283 = sz00 )
& ( aInteger0(esk26_2(X283,X284))
| ~ aElementOf0(X284,szAzrzSzezqlpdtcmdtrp0(sz10,X283))
| ~ aInteger0(X283)
| X283 = sz00 )
& ( sdtasdt0(X283,esk26_2(X283,X284)) = sdtpldt0(X284,smndt0(sz10))
| ~ aElementOf0(X284,szAzrzSzezqlpdtcmdtrp0(sz10,X283))
| ~ aInteger0(X283)
| X283 = sz00 )
& ( aDivisorOf0(X283,sdtpldt0(X284,smndt0(sz10)))
| ~ aElementOf0(X284,szAzrzSzezqlpdtcmdtrp0(sz10,X283))
| ~ aInteger0(X283)
| X283 = sz00 )
& ( sdteqdtlpzmzozddtrp0(X284,sz10,X283)
| ~ aElementOf0(X284,szAzrzSzezqlpdtcmdtrp0(sz10,X283))
| ~ aInteger0(X283)
| X283 = sz00 )
& ( ~ aInteger0(X287)
| sdtasdt0(X283,X287) != sdtpldt0(X286,smndt0(sz10))
| ~ aInteger0(X286)
| aElementOf0(X286,szAzrzSzezqlpdtcmdtrp0(sz10,X283))
| ~ aInteger0(X283)
| X283 = sz00 )
& ( ~ aDivisorOf0(X283,sdtpldt0(X286,smndt0(sz10)))
| ~ aInteger0(X286)
| aElementOf0(X286,szAzrzSzezqlpdtcmdtrp0(sz10,X283))
| ~ aInteger0(X283)
| X283 = sz00 )
& ( ~ sdteqdtlpzmzozddtrp0(X286,sz10,X283)
| ~ aInteger0(X286)
| aElementOf0(X286,szAzrzSzezqlpdtcmdtrp0(sz10,X283))
| ~ aInteger0(X283)
| X283 = sz00 )
& ( aSet0(sbsmnsldt0(xS))
| ~ aInteger0(X283)
| X283 = sz00 )
& ( aInteger0(X288)
| ~ aElementOf0(X288,sbsmnsldt0(xS))
| ~ aInteger0(X283)
| X283 = sz00 )
& ( aElementOf0(esk27_2(X283,X288),xS)
| ~ aElementOf0(X288,sbsmnsldt0(xS))
| ~ aInteger0(X283)
| X283 = sz00 )
& ( aElementOf0(X288,esk27_2(X283,X288))
| ~ aElementOf0(X288,sbsmnsldt0(xS))
| ~ aInteger0(X283)
| X283 = sz00 )
& ( ~ aInteger0(X290)
| ~ aElementOf0(X291,xS)
| ~ aElementOf0(X290,X291)
| aElementOf0(X290,sbsmnsldt0(xS))
| ~ aInteger0(X283)
| X283 = sz00 )
& ( aInteger0(X292)
| ~ aElementOf0(X292,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X283)
| X283 = sz00 )
& ( ~ aElementOf0(X292,sbsmnsldt0(xS))
| ~ aElementOf0(X292,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X283)
| X283 = sz00 )
& ( ~ aInteger0(X293)
| aElementOf0(X293,sbsmnsldt0(xS))
| aElementOf0(X293,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X283)
| X283 = sz00 )
& ( aElementOf0(esk28_1(X283),szAzrzSzezqlpdtcmdtrp0(sz10,X283))
| ~ aInteger0(X283)
| X283 = sz00 )
& ( ~ aElementOf0(esk28_1(X283),stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X283)
| X283 = sz00 )
& ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X283),stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X283)
| X283 = 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)],[i_0_43])])])])])]) ).
fof(i_0_58,plain,
! [X151,X152,X153] :
( ( sdtasdt0(X151,sdtpldt0(X152,X153)) = sdtpldt0(sdtasdt0(X151,X152),sdtasdt0(X151,X153))
| ~ aInteger0(X151)
| ~ aInteger0(X152)
| ~ aInteger0(X153) )
& ( sdtasdt0(sdtpldt0(X151,X152),X153) = sdtpldt0(sdtasdt0(X151,X153),sdtasdt0(X152,X153))
| ~ aInteger0(X151)
| ~ aInteger0(X152)
| ~ aInteger0(X153) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistrib])])]) ).
fof(i_0_59,plain,
! [X145,X146,X147] :
( ~ aInteger0(X145)
| ~ aInteger0(X146)
| ~ aInteger0(X147)
| sdtasdt0(X145,sdtasdt0(X146,X147)) = sdtasdt0(sdtasdt0(X145,X146),X147) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(i_0_60,plain,
! [X138,X139,X140] :
( ~ aInteger0(X138)
| ~ aInteger0(X139)
| ~ aInteger0(X140)
| sdtpldt0(X138,sdtpldt0(X139,X140)) = sdtpldt0(sdtpldt0(X138,X139),X140) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(i_0_61,plain,
! [X182,X183,X184,X185] :
( ( aSet0(X183)
| ~ aSubsetOf0(X183,X182)
| ~ aSet0(X182) )
& ( ~ aElementOf0(X184,X183)
| aElementOf0(X184,X182)
| ~ aSubsetOf0(X183,X182)
| ~ aSet0(X182) )
& ( aElementOf0(esk3_2(X182,X185),X185)
| ~ aSet0(X185)
| aSubsetOf0(X185,X182)
| ~ aSet0(X182) )
& ( ~ aElementOf0(esk3_2(X182,X185),X182)
| ~ aSet0(X185)
| aSubsetOf0(X185,X182)
| ~ aSet0(X182) ) ),
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_62,plain,
! [X235,X236] :
( ~ aSubsetOf0(X235,cS1395)
| ~ aSubsetOf0(X236,cS1395)
| ~ isClosed0(X235)
| ~ isClosed0(X236)
| isClosed0(sdtbsmnsldt0(X235,X236)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mUnionClosed])]) ).
fof(i_0_63,plain,
! [X233,X234] :
( ~ aSubsetOf0(X233,cS1395)
| ~ aSubsetOf0(X234,cS1395)
| ~ isOpen0(X233)
| ~ isOpen0(X234)
| isOpen0(sdtslmnbsdt0(X233,X234)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mInterOpen])]) ).
fof(i_0_64,plain,
! [X237] :
( ( aElementOf0(esk15_1(X237),X237)
| ~ aSet0(X237)
| ~ isFinite0(X237)
| isClosed0(sbsmnsldt0(X237)) )
& ( ~ aSubsetOf0(esk15_1(X237),cS1395)
| ~ isClosed0(esk15_1(X237))
| ~ aSet0(X237)
| ~ isFinite0(X237)
| isClosed0(sbsmnsldt0(X237)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mUnionSClosed])])])]) ).
fof(i_0_65,plain,
! [X158,X159,X161,X162] :
( ( aInteger0(X159)
| ~ aDivisorOf0(X159,X158)
| ~ aInteger0(X158) )
& ( X159 != sz00
| ~ aDivisorOf0(X159,X158)
| ~ aInteger0(X158) )
& ( aInteger0(esk1_2(X158,X159))
| ~ aDivisorOf0(X159,X158)
| ~ aInteger0(X158) )
& ( sdtasdt0(X159,esk1_2(X158,X159)) = X158
| ~ aDivisorOf0(X159,X158)
| ~ aInteger0(X158) )
& ( ~ aInteger0(X161)
| X161 = sz00
| ~ aInteger0(X162)
| sdtasdt0(X161,X162) != X158
| aDivisorOf0(X161,X158)
| ~ aInteger0(X158) ) ),
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_66,plain,
! [X166,X167] :
( ~ aInteger0(X166)
| ~ aInteger0(X167)
| X167 = sz00
| sdteqdtlpzmzozddtrp0(X166,X166,X167) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquModRef])]) ).
fof(i_0_67,hypothesis,
! [X253,X255,X256,X257,X258] :
( aSet0(sbsmnsldt0(xS))
& ( aInteger0(X253)
| ~ aElementOf0(X253,sbsmnsldt0(xS)) )
& ( aElementOf0(esk19_1(X253),xS)
| ~ aElementOf0(X253,sbsmnsldt0(xS)) )
& ( aElementOf0(X253,esk19_1(X253))
| ~ aElementOf0(X253,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X255)
| ~ aElementOf0(X256,xS)
| ~ aElementOf0(X255,X256)
| aElementOf0(X255,sbsmnsldt0(xS)) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ( aInteger0(X257)
| ~ aElementOf0(X257,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X257,sbsmnsldt0(xS))
| ~ aElementOf0(X257,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X257)
| aElementOf0(X257,sbsmnsldt0(xS))
| aElementOf0(X257,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X258,stldt0(sbsmnsldt0(xS)))
| X258 = sz10
| X258 = smndt0(sz10) )
& ( X258 != sz10
| aElementOf0(X258,stldt0(sbsmnsldt0(xS))) )
& ( X258 != smndt0(sz10)
| aElementOf0(X258,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_44])])])])])]) ).
fof(i_0_68,plain,
! [X231] :
( ( aElementOf0(esk14_1(X231),X231)
| ~ aSet0(X231)
| isOpen0(sbsmnsldt0(X231)) )
& ( ~ aSubsetOf0(esk14_1(X231),cS1395)
| ~ isOpen0(esk14_1(X231))
| ~ aSet0(X231)
| isOpen0(sbsmnsldt0(X231)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mUnionOpen])])])]) ).
fof(i_0_69,plain,
! [X239,X240] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X239,X240),cS1395)
| ~ aInteger0(X239)
| ~ aInteger0(X240)
| X240 = sz00 )
& ( isClosed0(szAzrzSzezqlpdtcmdtrp0(X239,X240))
| ~ aInteger0(X239)
| ~ aInteger0(X240)
| X240 = sz00 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArSeqClosed])])]) ).
fof(i_0_70,plain,
! [X136,X137] :
( ~ aInteger0(X136)
| ~ aInteger0(X137)
| aInteger0(sdtasdt0(X136,X137)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntMult])]) ).
fof(i_0_71,plain,
! [X134,X135] :
( ~ aInteger0(X134)
| ~ aInteger0(X135)
| aInteger0(sdtpldt0(X134,X135)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])]) ).
fof(i_0_72,plain,
! [X179,X180] :
( ( X179 != sz10
| ~ aDivisorOf0(X180,X179)
| ~ isPrime0(X180)
| ~ aInteger0(X179) )
& ( X179 != smndt0(sz10)
| ~ aDivisorOf0(X180,X179)
| ~ isPrime0(X180)
| ~ aInteger0(X179) )
& ( aDivisorOf0(esk2_1(X179),X179)
| X179 = sz10
| X179 = smndt0(sz10)
| ~ aInteger0(X179) )
& ( isPrime0(esk2_1(X179))
| X179 = sz10
| X179 = smndt0(sz10)
| ~ aInteger0(X179) ) ),
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_73,plain,
! [X148,X149] :
( ~ aInteger0(X148)
| ~ aInteger0(X149)
| sdtasdt0(X148,X149) = sdtasdt0(X149,X148) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(i_0_74,plain,
! [X141,X142] :
( ~ aInteger0(X141)
| ~ aInteger0(X142)
| sdtpldt0(X141,X142) = sdtpldt0(X142,X141) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
fof(i_0_75,plain,
! [X230] :
( ( ~ isClosed0(X230)
| isOpen0(stldt0(X230))
| ~ aSubsetOf0(X230,cS1395) )
& ( ~ isOpen0(stldt0(X230))
| isClosed0(X230)
| ~ aSubsetOf0(X230,cS1395) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mClosed])])]) ).
fof(i_0_76,plain,
! [X156,X157] :
( ~ aInteger0(X156)
| ~ aInteger0(X157)
| sdtasdt0(X156,X157) != sz00
| X156 = sz00
| X157 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroDiv])]) ).
fof(i_0_77,plain,
! [X155] :
( ( sdtasdt0(smndt0(sz10),X155) = smndt0(X155)
| ~ aInteger0(X155) )
& ( smndt0(X155) = sdtasdt0(X155,smndt0(sz10))
| ~ aInteger0(X155) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMinOne])])]) ).
fof(i_0_78,plain,
! [X144] :
( ( sdtpldt0(X144,smndt0(X144)) = sz00
| ~ aInteger0(X144) )
& ( sz00 = sdtpldt0(smndt0(X144),X144)
| ~ aInteger0(X144) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddNeg])])]) ).
fof(i_0_79,plain,
! [X150] :
( ( sdtasdt0(X150,sz10) = X150
| ~ aInteger0(X150) )
& ( X150 = sdtasdt0(sz10,X150)
| ~ aInteger0(X150) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulOne])])]) ).
fof(i_0_80,plain,
! [X143] :
( ( sdtpldt0(X143,sz00) = X143
| ~ aInteger0(X143) )
& ( X143 = sdtpldt0(sz00,X143)
| ~ aInteger0(X143) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).
fof(i_0_81,plain,
! [X154] :
( ( sdtasdt0(X154,sz00) = sz00
| ~ aInteger0(X154) )
& ( sz00 = sdtasdt0(sz00,X154)
| ~ aInteger0(X154) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])]) ).
fof(i_0_82,plain,
! [X133] :
( ~ aInteger0(X133)
| aInteger0(smndt0(X133)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])]) ).
cnf(i_0_83,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_45]),
[final] ).
cnf(i_0_84,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_46]),
[final] ).
cnf(i_0_85,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_47]),
[final] ).
cnf(i_0_86,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_47]),
[final] ).
cnf(i_0_87,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_47]),
[final] ).
cnf(i_0_88,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_46]),
[final] ).
cnf(i_0_89,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_45]),
[final] ).
cnf(i_0_90,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_45]),
[final] ).
cnf(i_0_91,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_45]),
[final] ).
cnf(i_0_92,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_47]),
[final] ).
cnf(i_0_93,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_46]),
[final] ).
cnf(i_0_94,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_48]),
[final] ).
cnf(i_0_95,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_49]),
[final] ).
cnf(i_0_96,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_49]),
[final] ).
cnf(i_0_97,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_50]),
[final] ).
cnf(i_0_98,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_51]),
[final] ).
cnf(i_0_99,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_51]),
[final] ).
cnf(i_0_100,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_50]),
[final] ).
cnf(i_0_101,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_52]),
[final] ).
cnf(i_0_102,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_52]),
[final] ).
cnf(i_0_103,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_52]),
[final] ).
cnf(i_0_104,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_52]),
[final] ).
cnf(i_0_105,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_52]),
[final] ).
cnf(i_0_106,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_52]),
[final] ).
cnf(i_0_107,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_49]),
[final] ).
cnf(i_0_108,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_49]),
[final] ).
cnf(i_0_109,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_52]),
[final] ).
cnf(i_0_110,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_52]),
[final] ).
cnf(i_0_111,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_53]),
[final] ).
cnf(i_0_112,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_52]),
[final] ).
cnf(i_0_113,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_52]),
[final] ).
cnf(i_0_114,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_49]),
[final] ).
cnf(i_0_115,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_49]),
[final] ).
cnf(i_0_116,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_52]),
[final] ).
cnf(i_0_117,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_52]),
[final] ).
cnf(i_0_118,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_50]),
[final] ).
cnf(i_0_119,plain,
( X3 = sz00
| sdteqdtlpzmzozddtrp0(X2,X1,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_120,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_55]),
[final] ).
cnf(i_0_121,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_50]),
[final] ).
cnf(i_0_122,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_55]),
[final] ).
cnf(i_0_123,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_50]),
[final] ).
cnf(i_0_124,hypothesis,
( sdteqdtlpzmzozddtrp0(X1,sz00,esk16_1(X2))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2)))
| ~ aElementOf0(X2,xS) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_125,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_50]),
[final] ).
cnf(i_0_126,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_49]),
[final] ).
cnf(i_0_127,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_52]),
[final] ).
cnf(i_0_128,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_52]),
[final] ).
cnf(i_0_129,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_52]),
[final] ).
cnf(i_0_130,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_52]),
[final] ).
cnf(i_0_131,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_50]),
[final] ).
cnf(i_0_132,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_46]),
[final] ).
cnf(i_0_133,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_49]),
[final] ).
cnf(i_0_134,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_50]),
[final] ).
cnf(i_0_135,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_50]),
[final] ).
cnf(i_0_136,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk12_2(X2,X1)),X2)
| ~ aElementOf0(X1,X2)
| ~ isOpen0(X2)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_137,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_50]),
[final] ).
cnf(i_0_138,negated_conjecture,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X2))
| X2 = sz00
| ~ sdteqdtlpzmzozddtrp0(X1,sz10,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_139,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_53]),
[final] ).
cnf(i_0_140,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_50]),
[final] ).
cnf(i_0_141,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_45]),
[final] ).
cnf(i_0_142,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_49]),
[final] ).
cnf(i_0_143,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_50]),
[final] ).
cnf(i_0_144,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(X2,esk24_1(X2)))
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_145,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(X2,esk21_1(X2)))
| ~ aElementOf0(X2,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_146,hypothesis,
( aInteger0(esk17_2(X1,X2))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X1)))
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_147,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_148,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_149,negated_conjecture,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
| X1 = sz00
| ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10)))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_150,negated_conjecture,
( sdtasdt0(X1,esk26_2(X1,X2)) = sdtpldt0(X2,smndt0(sz10))
| X1 = sz00
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[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_49]),
[final] ).
cnf(i_0_152,negated_conjecture,
( sdteqdtlpzmzozddtrp0(X1,sz10,X2)
| X2 = sz00
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X2))
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_153,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_49]),
[final] ).
cnf(i_0_154,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_46]),
[final] ).
cnf(i_0_155,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_47]),
[final] ).
cnf(i_0_156,plain,
( X1 = sz00
| isOpen0(X2)
| ~ aInteger0(X1)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk13_1(X2),X1),X2)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_157,negated_conjecture,
( aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10)))
| X1 = sz00
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_158,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_49]),
[final] ).
cnf(i_0_159,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_49]),
[final] ).
cnf(i_0_160,negated_conjecture,
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,X2))
| X2 = sz00
| ~ aInteger0(X1)
| sdtasdt0(X2,X1) != sdtpldt0(X3,smndt0(sz10))
| ~ aInteger0(X3)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_161,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_47]),
[final] ).
cnf(i_0_162,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_47]),
[final] ).
cnf(i_0_163,hypothesis,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk24_1(X1)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_164,hypothesis,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk21_1(X1)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_165,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_53]),
[final] ).
cnf(i_0_166,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_49]),
[final] ).
cnf(i_0_167,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2)))
| ~ aElementOf0(X2,xS) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_168,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtslmnbsdt0(X2,X4)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X4,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_169,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtslmnbsdt0(X4,X2)
| ~ aSubsetOf0(X4,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_170,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_171,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_172,negated_conjecture,
( aInteger0(esk26_2(X1,X2))
| X1 = sz00
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[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_61]),
[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_50]),
[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_45]),
[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_47]),
[final] ).
cnf(i_0_177,negated_conjecture,
( X1 = sz00
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X1),stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[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_62]),
[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_63]),
[final] ).
cnf(i_0_180,hypothesis,
( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,esk24_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_181,hypothesis,
( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,esk21_1(X1)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[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_56]),
[final] ).
cnf(i_0_183,negated_conjecture,
( X2 = sz00
| ~ aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_184,negated_conjecture,
( aElementOf0(X1,esk27_2(X2,X1))
| X2 = sz00
| ~ aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_185,negated_conjecture,
( aElementOf0(X1,sbsmnsldt0(xS))
| X3 = sz00
| ~ aInteger0(X1)
| ~ aElementOf0(X2,xS)
| ~ aElementOf0(X1,X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_186,negated_conjecture,
( aElementOf0(esk27_2(X1,X2),xS)
| X1 = sz00
| ~ aElementOf0(X2,sbsmnsldt0(xS))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_187,plain,
( ~ aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != stldt0(X2)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_188,plain,
( esk12_2(X1,X2) != sz00
| ~ aElementOf0(X2,X1)
| ~ isOpen0(X1)
| ~ aSubsetOf0(X1,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_189,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sbsmnsldt0(X3)
| ~ aSubsetOf0(esk6_1(X3),cS1395)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_190,negated_conjecture,
( aInteger0(X1)
| X2 = sz00
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X2))
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_191,plain,
( isClosed0(sbsmnsldt0(X1))
| ~ aSubsetOf0(esk15_1(X1),cS1395)
| ~ isClosed0(esk15_1(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_192,plain,
( sdtasdt0(X1,esk1_2(X2,X1)) = X2
| ~ aDivisorOf0(X1,X2)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_193,plain,
( X2 = sz00
| sdteqdtlpzmzozddtrp0(X1,X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_194,hypothesis,
( ~ aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_195,hypothesis,
( ~ aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_196,hypothesis,
( ~ aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_197,plain,
( aSet0(X1)
| X1 != sdtslmnbsdt0(X2,X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_198,plain,
( aSet0(X1)
| X1 != sdtbsmnsldt0(X2,X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_199,plain,
( aElementOf0(esk3_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[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_52]),
[final] ).
cnf(i_0_201,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,xS)
| ~ aElementOf0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_202,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,xS)
| ~ aElementOf0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_203,plain,
( aInteger0(X1)
| X4 = sz00
| ~ aElementOf0(X1,X2)
| X2 != szAzrzSzezqlpdtcmdtrp0(X3,X4)
| ~ aInteger0(X3)
| ~ aInteger0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_204,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_205,plain,
( aElementOf0(X1,X2)
| aElementOf0(X1,X3)
| ~ aInteger0(X1)
| X3 != stldt0(X2)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_206,plain,
( isOpen0(sbsmnsldt0(X1))
| ~ aSubsetOf0(esk14_1(X1),cS1395)
| ~ isOpen0(esk14_1(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_207,plain,
( aInteger0(X1)
| aElementOf0(esk6_1(X3),X3)
| ~ aElementOf0(X1,X2)
| X2 != sbsmnsldt0(X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_208,plain,
( X1 = sz00
| aDivisorOf0(X1,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X3
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_209,plain,
( aInteger0(esk1_2(X1,X2))
| ~ aDivisorOf0(X2,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_210,negated_conjecture,
( X1 = sz00
| ~ aElementOf0(esk28_1(X1),stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_211,negated_conjecture,
( aElementOf0(X1,sbsmnsldt0(xS))
| aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| X2 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_212,hypothesis,
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X1)))
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_213,hypothesis,
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| X1 = sz00
| aElementOf0(X2,xS)
| ~ aInteger0(X1)
| ~ isPrime0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_214,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,X2)
| X2 != stldt0(X3)
| ~ aSubsetOf0(X3,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_215,negated_conjecture,
( aInteger0(X1)
| X2 = sz00
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_216,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),cS1395)
| X2 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_217,hypothesis,
( aInteger0(esk24_1(X1))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_218,hypothesis,
( aInteger0(esk21_1(X1))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_219,negated_conjecture,
( aElementOf0(esk28_1(X1),szAzrzSzezqlpdtcmdtrp0(sz10,X1))
| X1 = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_220,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_221,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_222,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_223,hypothesis,
( X1 = sz00
| aElementOf0(X2,xS)
| szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X2
| ~ aInteger0(X1)
| ~ isPrime0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_224,plain,
( aSet0(X1)
| X1 != sbsmnsldt0(X2)
| ~ aSubsetOf0(esk6_1(X2),cS1395)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_225,hypothesis,
( esk24_1(X1) != sz00
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_226,hypothesis,
( esk21_1(X1) != sz00
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_227,hypothesis,
( aElementOf0(X1,esk23_1(X1))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_228,hypothesis,
( aElementOf0(X1,esk20_1(X1))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_229,hypothesis,
( aElementOf0(X1,esk19_1(X1))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_230,hypothesis,
( X1 = sz10
| X1 = smndt0(sz10)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_231,hypothesis,
( aElementOf0(esk23_1(X1),xS)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_232,hypothesis,
( aElementOf0(esk20_1(X1),xS)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_233,hypothesis,
( aElementOf0(esk19_1(X1),xS)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_234,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_235,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_236,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_237,plain,
( isClosed0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
| X2 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_238,plain,
( aElementOf0(esk15_1(X1),X1)
| isClosed0(sbsmnsldt0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_239,plain,
( aElementOf0(esk13_1(X1),X1)
| isOpen0(X1)
| ~ aSubsetOf0(X1,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_240,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_241,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_242,plain,
( aSet0(X1)
| X3 = sz00
| X1 != szAzrzSzezqlpdtcmdtrp0(X2,X3)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_243,plain,
( X1 != smndt0(sz10)
| ~ aDivisorOf0(X2,X1)
| ~ isPrime0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_244,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_245,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_246,plain,
( isClosed0(X1)
| ~ isOpen0(stldt0(X1))
| ~ aSubsetOf0(X1,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_247,negated_conjecture,
( aInteger0(X1)
| X2 = sz00
| ~ aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_248,plain,
( aSet0(X1)
| aElementOf0(esk6_1(X2),X2)
| X1 != sbsmnsldt0(X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_249,plain,
( X1 = sz00
| X2 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtasdt0(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_250,hypothesis,
( szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X1)) = X1
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_251,plain,
( X1 != sz10
| ~ aDivisorOf0(X2,X1)
| ~ isPrime0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_252,plain,
( aElementOf0(esk14_1(X1),X1)
| isOpen0(sbsmnsldt0(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_253,plain,
( isOpen0(stldt0(X1))
| ~ isClosed0(X1)
| ~ aSubsetOf0(X1,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_254,negated_conjecture,
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X1))
| X1 = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_255,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_256,plain,
( aInteger0(X1)
| ~ aDivisorOf0(X1,X2)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_257,plain,
( aSet0(X1)
| X1 != stldt0(X2)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_258,plain,
( aDivisorOf0(esk2_1(X1),X1)
| X1 = sz10
| X1 = smndt0(sz10)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_259,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| X1 != smndt0(sz10) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_260,plain,
( X1 != sz00
| ~ aDivisorOf0(X1,X2)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_261,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_262,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_263,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_264,hypothesis,
( isPrime0(esk16_1(X1))
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_265,hypothesis,
( aInteger0(esk16_1(X1))
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_266,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| X1 != sz10 ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_267,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_268,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_269,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_270,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_271,hypothesis,
( esk16_1(X1) != sz00
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_272,plain,
( isPrime0(esk2_1(X1))
| X1 = sz10
| X1 = smndt0(sz10)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_273,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_274,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_275,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_276,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_277,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_278,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_279,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_280,hypothesis,
isOpen0(stldt0(sbsmnsldt0(xS))),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_281,hypothesis,
aSet0(stldt0(sbsmnsldt0(xS))),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_282,negated_conjecture,
( aSet0(sbsmnsldt0(xS))
| X1 = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_283,hypothesis,
isClosed0(sbsmnsldt0(xS)),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_284,hypothesis,
aSet0(sbsmnsldt0(xS)),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_285,hypothesis,
aSet0(sbsmnsldt0(xS)),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_286,hypothesis,
aSet0(sbsmnsldt0(xS)),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_287,hypothesis,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_288,hypothesis,
isFinite0(xS),
inference(split_conjunct,[status(thm)],[m__2117]),
[final] ).
cnf(i_0_289,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_290,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[mIntOne]),
[final] ).
cnf(i_0_291,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[mIntZero]),
[final] ).
cnf(i_0_292,hypothesis,
xS = cS2043,
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_293,axiom,
X1 = X1 ).
cnf(i_0_294,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_295,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_296,axiom,
( X1 != X2
| sdtslmnbsdt0(X1,X3) = sdtslmnbsdt0(X2,X3) ) ).
cnf(i_0_297,axiom,
( X1 != X2
| sdtslmnbsdt0(X3,X1) = sdtslmnbsdt0(X3,X2) ) ).
cnf(i_0_298,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_299,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_300,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_301,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_302,axiom,
( X1 != X2
| smndt0(X1) = smndt0(X2) ) ).
cnf(i_0_303,axiom,
( X1 != X2
| esk24_1(X1) = esk24_1(X2) ) ).
cnf(i_0_304,axiom,
( X1 != X2
| stldt0(X1) = stldt0(X2) ) ).
cnf(i_0_305,axiom,
( X1 != X2
| esk21_1(X1) = esk21_1(X2) ) ).
cnf(i_0_306,axiom,
( X1 != X2
| esk16_1(X1) = esk16_1(X2) ) ).
cnf(i_0_307,axiom,
( X1 != X2
| esk12_2(X1,X3) = esk12_2(X2,X3) ) ).
cnf(i_0_308,axiom,
( X1 != X2
| esk12_2(X3,X1) = esk12_2(X3,X2) ) ).
cnf(i_0_309,axiom,
( X1 != X2
| szAzrzSzezqlpdtcmdtrp0(X1,X3) = szAzrzSzezqlpdtcmdtrp0(X2,X3) ) ).
cnf(i_0_310,axiom,
( X1 != X2
| szAzrzSzezqlpdtcmdtrp0(X3,X1) = szAzrzSzezqlpdtcmdtrp0(X3,X2) ) ).
cnf(i_0_311,axiom,
( X1 != X2
| sdtbsmnsldt0(X1,X3) = sdtbsmnsldt0(X2,X3) ) ).
cnf(i_0_312,axiom,
( X1 != X2
| sdtbsmnsldt0(X3,X1) = sdtbsmnsldt0(X3,X2) ) ).
cnf(i_0_313,axiom,
( X1 != X2
| sbsmnsldt0(X1) = sbsmnsldt0(X2) ) ).
cnf(i_0_314,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_315,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_316,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_317,axiom,
( X1 != X2
| ~ aInteger0(X1)
| aInteger0(X2) ) ).
cnf(i_0_318,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_319,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_320,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_321,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X4)
| sdteqdtlpzmzozddtrp0(X2,X3,X4) ) ).
cnf(i_0_322,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X3,X1,X4)
| sdteqdtlpzmzozddtrp0(X3,X2,X4) ) ).
cnf(i_0_323,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X3,X4,X1)
| sdteqdtlpzmzozddtrp0(X3,X4,X2) ) ).
cnf(i_0_324,axiom,
( X1 != X2
| ~ isPrime0(X1)
| isPrime0(X2) ) ).
cnf(i_0_325,axiom,
( X1 != X2
| ~ aDivisorOf0(X1,X3)
| aDivisorOf0(X2,X3) ) ).
cnf(i_0_326,axiom,
( X1 != X2
| ~ aDivisorOf0(X3,X1)
| aDivisorOf0(X3,X2) ) ).
cnf(i_0_327,axiom,
( X1 != X2
| ~ isOpen0(X1)
| isOpen0(X2) ) ).
cnf(i_0_328,axiom,
( X1 != X2
| ~ isClosed0(X1)
| isClosed0(X2) ) ).
cnf(i_0_293_001,axiom,
X1 = X1 ).
cnf(i_0_294_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_295_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_296_004,axiom,
( X1 != X2
| sdtslmnbsdt0(X1,X3) = sdtslmnbsdt0(X2,X3) ) ).
cnf(i_0_297_005,axiom,
( X1 != X2
| sdtslmnbsdt0(X3,X1) = sdtslmnbsdt0(X3,X2) ) ).
cnf(i_0_298_006,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_299_007,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_300_008,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_301_009,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_302_010,axiom,
( X1 != X2
| smndt0(X1) = smndt0(X2) ) ).
cnf(i_0_303_011,axiom,
( X1 != X2
| esk24_1(X1) = esk24_1(X2) ) ).
cnf(i_0_304_012,axiom,
( X1 != X2
| stldt0(X1) = stldt0(X2) ) ).
cnf(i_0_305_013,axiom,
( X1 != X2
| esk21_1(X1) = esk21_1(X2) ) ).
cnf(i_0_306_014,axiom,
( X1 != X2
| esk16_1(X1) = esk16_1(X2) ) ).
cnf(i_0_307_015,axiom,
( X1 != X2
| esk12_2(X1,X3) = esk12_2(X2,X3) ) ).
cnf(i_0_308_016,axiom,
( X1 != X2
| esk12_2(X3,X1) = esk12_2(X3,X2) ) ).
cnf(i_0_309_017,axiom,
( X1 != X2
| szAzrzSzezqlpdtcmdtrp0(X1,X3) = szAzrzSzezqlpdtcmdtrp0(X2,X3) ) ).
cnf(i_0_310_018,axiom,
( X1 != X2
| szAzrzSzezqlpdtcmdtrp0(X3,X1) = szAzrzSzezqlpdtcmdtrp0(X3,X2) ) ).
cnf(i_0_311_019,axiom,
( X1 != X2
| sdtbsmnsldt0(X1,X3) = sdtbsmnsldt0(X2,X3) ) ).
cnf(i_0_312_020,axiom,
( X1 != X2
| sdtbsmnsldt0(X3,X1) = sdtbsmnsldt0(X3,X2) ) ).
cnf(i_0_313_021,axiom,
( X1 != X2
| sbsmnsldt0(X1) = sbsmnsldt0(X2) ) ).
cnf(i_0_314_022,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_315_023,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_316_024,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_317_025,axiom,
( X1 != X2
| ~ aInteger0(X1)
| aInteger0(X2) ) ).
cnf(i_0_318_026,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_319_027,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_320_028,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_321_029,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X4)
| sdteqdtlpzmzozddtrp0(X2,X3,X4) ) ).
cnf(i_0_322_030,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X3,X1,X4)
| sdteqdtlpzmzozddtrp0(X3,X2,X4) ) ).
cnf(i_0_323_031,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X3,X4,X1)
| sdteqdtlpzmzozddtrp0(X3,X4,X2) ) ).
cnf(i_0_324_032,axiom,
( X1 != X2
| ~ isPrime0(X1)
| isPrime0(X2) ) ).
cnf(i_0_325_033,axiom,
( X1 != X2
| ~ aDivisorOf0(X1,X3)
| aDivisorOf0(X2,X3) ) ).
cnf(i_0_326_034,axiom,
( X1 != X2
| ~ aDivisorOf0(X3,X1)
| aDivisorOf0(X3,X2) ) ).
cnf(i_0_327_035,axiom,
( X1 != X2
| ~ isOpen0(X1)
| isOpen0(X2) ) ).
cnf(i_0_328_036,axiom,
( X1 != X2
| ~ isClosed0(X1)
| isClosed0(X2) ) ).
cnf(i_0_329,plain,
( ~ aElementOf0(X1,sbsmnsldt0(X2))
| ~ aSet0(X2)
| aElementOf0(esk7_3(X2,sbsmnsldt0(X2),X1),X2)
| ~ aSubsetOf0(esk6_1(X2),cS1395) ),
inference(equality_inference,[],[107]) ).
cnf(i_0_330,plain,
( ~ aElementOf0(X1,sbsmnsldt0(X2))
| ~ aSet0(X2)
| aElementOf0(X1,esk7_3(X2,sbsmnsldt0(X2),X1))
| ~ aSubsetOf0(esk6_1(X2),cS1395) ),
inference(equality_inference,[],[108]) ).
cnf(i_0_331,plain,
( ~ aElementOf0(X1,sbsmnsldt0(X2))
| ~ aSet0(X2)
| aElementOf0(esk6_1(X2),X2)
| aElementOf0(esk7_3(X2,sbsmnsldt0(X2),X1),X2) ),
inference(equality_inference,[],[114]) ).
cnf(i_0_332,plain,
( ~ aElementOf0(X1,sbsmnsldt0(X2))
| ~ aSet0(X2)
| aElementOf0(esk6_1(X2),X2)
| aElementOf0(X1,esk7_3(X2,sbsmnsldt0(X2),X1)) ),
inference(equality_inference,[],[115]) ).
cnf(i_0_333,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X3 = sz00 ),
inference(equality_inference,[],[132]) ).
cnf(i_0_334,plain,
( ~ aInteger0(X1)
| aElementOf0(X1,sdtslmnbsdt0(X2,X3))
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(equality_inference,[],[141]) ).
cnf(i_0_335,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdteqdtlpzmzozddtrp0(X3,X1,X2)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| X2 = sz00 ),
inference(equality_inference,[],[154]) ).
cnf(i_0_336,plain,
( aElementOf0(X1,X2)
| aElementOf0(X1,X3)
| ~ aElementOf0(X1,sdtbsmnsldt0(X2,X3))
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(equality_inference,[],[155]) ).
cnf(i_0_337,plain,
( ~ aInteger0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X3)
| aElementOf0(X1,sbsmnsldt0(X3))
| ~ aElementOf0(X2,X3)
| ~ aSubsetOf0(esk6_1(X3),cS1395) ),
inference(equality_inference,[],[158]) ).
cnf(i_0_338,plain,
( ~ aInteger0(X1)
| aElementOf0(X1,sdtbsmnsldt0(X2,X3))
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(equality_inference,[],[161]) ).
cnf(i_0_339,plain,
( ~ aInteger0(X1)
| aElementOf0(X1,sdtbsmnsldt0(X2,X3))
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(equality_inference,[],[162]) ).
cnf(i_0_340,plain,
( ~ aInteger0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X3)
| aElementOf0(X1,sbsmnsldt0(X3))
| ~ aElementOf0(X2,X3)
| aElementOf0(esk6_1(X3),X3) ),
inference(equality_inference,[],[166]) ).
cnf(i_0_341,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtslmnbsdt0(X2,X3))
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(equality_inference,[],[168]) ).
cnf(i_0_342,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtslmnbsdt0(X3,X2))
| ~ aSubsetOf0(X3,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(equality_inference,[],[169]) ).
cnf(i_0_343,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,sdtslmnbsdt0(X2,X3))
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(equality_inference,[],[175]) ).
cnf(i_0_344,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,sdtbsmnsldt0(X2,X3))
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(equality_inference,[],[176]) ).
cnf(i_0_345,plain,
( ~ aElementOf0(X1,X2)
| ~ aElementOf0(X1,stldt0(X2))
| ~ aSubsetOf0(X2,cS1395) ),
inference(equality_inference,[],[187]) ).
cnf(i_0_346,plain,
( ~ aSet0(X1)
| aInteger0(X2)
| ~ aElementOf0(X2,sbsmnsldt0(X1))
| ~ aSubsetOf0(esk6_1(X1),cS1395) ),
inference(equality_inference,[],[189]) ).
cnf(i_0_347,plain,
( aSet0(sdtslmnbsdt0(X1,X2))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(equality_inference,[],[197]) ).
cnf(i_0_348,plain,
( aSet0(sdtbsmnsldt0(X1,X2))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(equality_inference,[],[198]) ).
cnf(i_0_349,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| aInteger0(X3)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| X2 = sz00 ),
inference(equality_inference,[],[203]) ).
cnf(i_0_350,plain,
( ~ aInteger0(X1)
| aElementOf0(X1,X2)
| aElementOf0(X1,stldt0(X2))
| ~ aSubsetOf0(X2,cS1395) ),
inference(equality_inference,[],[205]) ).
cnf(i_0_351,plain,
( ~ aSet0(X1)
| aInteger0(X2)
| ~ aElementOf0(X2,sbsmnsldt0(X1))
| aElementOf0(esk6_1(X1),X1) ),
inference(equality_inference,[],[207]) ).
cnf(i_0_352,plain,
( ~ aInteger0(X1)
| ~ aInteger0(sdtasdt0(X1,X2))
| aDivisorOf0(X1,sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| X1 = sz00 ),
inference(equality_inference,[],[208]) ).
cnf(i_0_353,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(X2))
| ~ aSubsetOf0(X2,cS1395) ),
inference(equality_inference,[],[214]) ).
cnf(i_0_354,plain,
( ~ aInteger0(X1)
| ~ isPrime0(X1)
| X1 = sz00
| aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,X1),xS) ),
inference(equality_inference,[],[223]) ).
cnf(i_0_355,plain,
( ~ aSet0(X1)
| aSet0(sbsmnsldt0(X1))
| ~ aSubsetOf0(esk6_1(X1),cS1395) ),
inference(equality_inference,[],[224]) ).
cnf(i_0_356,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
| X2 = sz00 ),
inference(equality_inference,[],[242]) ).
cnf(i_0_357,plain,
( ~ isPrime0(X1)
| ~ aInteger0(smndt0(sz10))
| ~ aDivisorOf0(X1,smndt0(sz10)) ),
inference(equality_inference,[],[243]) ).
cnf(i_0_358,plain,
( ~ aSet0(X1)
| aSet0(sbsmnsldt0(X1))
| aElementOf0(esk6_1(X1),X1) ),
inference(equality_inference,[],[248]) ).
cnf(i_0_359,plain,
( ~ isPrime0(X1)
| ~ aInteger0(sz10)
| ~ aDivisorOf0(X1,sz10) ),
inference(equality_inference,[],[251]) ).
cnf(i_0_360,plain,
( aSet0(stldt0(X1))
| ~ aSubsetOf0(X1,cS1395) ),
inference(equality_inference,[],[257]) ).
cnf(i_0_361,plain,
aElementOf0(smndt0(sz10),stldt0(sbsmnsldt0(xS))),
inference(equality_inference,[],[259]) ).
cnf(i_0_362,plain,
( ~ aInteger0(X1)
| ~ aDivisorOf0(sz00,X1) ),
inference(equality_inference,[],[260]) ).
cnf(i_0_363,plain,
aElementOf0(sz10,stldt0(sbsmnsldt0(xS))),
inference(equality_inference,[],[266]) ).
cnf(i_0_364,plain,
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,sz10) ),
inference(scs_inference,[],[i_0_290,i_0_359]) ).
cnf(i_0_365,plain,
esk24_1(smndt0(sz10)) != sz00,
inference(scs_inference,[],[i_0_361,i_0_225]) ).
cnf(i_0_366,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| esk24_1(X1) != sz00 ),
inference(rename_variables,[],[i_0_225]) ).
cnf(i_0_367,plain,
esk21_1(smndt0(sz10)) != sz00,
inference(scs_inference,[],[i_0_361,i_0_225,i_0_226]) ).
cnf(i_0_368,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| esk21_1(X1) != sz00 ),
inference(rename_variables,[],[i_0_226]) ).
cnf(i_0_369,plain,
cS2043 = xS,
inference(scs_inference,[],[i_0_361,i_0_292,i_0_225,i_0_226,i_0_294]) ).
cnf(i_0_370,plain,
aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,esk24_1(sz10)),stldt0(sbsmnsldt0(xS))),
inference(scs_inference,[],[i_0_361,i_0_363,i_0_292,i_0_225,i_0_226,i_0_294,i_0_163]) ).
cnf(i_0_371,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk24_1(X1)),stldt0(sbsmnsldt0(xS))) ),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_372,plain,
aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,esk21_1(sz10)),stldt0(sbsmnsldt0(xS))),
inference(scs_inference,[],[i_0_361,i_0_363,i_0_292,i_0_225,i_0_226,i_0_294,i_0_163,i_0_164]) ).
cnf(i_0_373,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk21_1(X1)),stldt0(sbsmnsldt0(xS))) ),
inference(rename_variables,[],[i_0_164]) ).
cnf(i_0_374,plain,
~ aElementOf0(smndt0(sz10),sbsmnsldt0(xS)),
inference(scs_inference,[],[i_0_361,i_0_363,i_0_292,i_0_225,i_0_226,i_0_294,i_0_163,i_0_164,i_0_196]) ).
cnf(i_0_375,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(rename_variables,[],[i_0_196]) ).
cnf(i_0_376,plain,
aInteger0(esk24_1(smndt0(sz10))),
inference(scs_inference,[],[i_0_361,i_0_363,i_0_292,i_0_225,i_0_226,i_0_294,i_0_163,i_0_164,i_0_196,i_0_217]) ).
cnf(i_0_377,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aInteger0(esk24_1(X1)) ),
inference(rename_variables,[],[i_0_217]) ).
cnf(i_0_378,plain,
aInteger0(esk21_1(smndt0(sz10))),
inference(scs_inference,[],[i_0_361,i_0_363,i_0_292,i_0_225,i_0_226,i_0_294,i_0_163,i_0_164,i_0_196,i_0_217,i_0_218]) ).
cnf(i_0_379,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aInteger0(esk21_1(X1)) ),
inference(rename_variables,[],[i_0_218]) ).
cnf(i_0_380,plain,
aInteger0(smndt0(sz10)),
inference(scs_inference,[],[i_0_361,i_0_363,i_0_292,i_0_225,i_0_226,i_0_294,i_0_163,i_0_164,i_0_196,i_0_217,i_0_218,i_0_236]) ).
cnf(i_0_381,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aInteger0(X1) ),
inference(rename_variables,[],[i_0_236]) ).
cnf(i_0_382,plain,
stldt0(sbsmnsldt0(xS)) != sbsmnsldt0(xS),
inference(scs_inference,[],[i_0_361,i_0_363,i_0_292,i_0_225,i_0_226,i_0_294,i_0_163,i_0_164,i_0_196,i_0_217,i_0_218,i_0_236,i_0_315]) ).
cnf(i_0_383,plain,
isFinite0(cS2043),
inference(scs_inference,[],[i_0_361,i_0_363,i_0_288,i_0_292,i_0_225,i_0_226,i_0_294,i_0_163,i_0_164,i_0_196,i_0_217,i_0_218,i_0_236,i_0_315,i_0_316]) ).
cnf(i_0_384,plain,
aSet0(cS2043),
inference(scs_inference,[],[i_0_361,i_0_363,i_0_288,i_0_289,i_0_292,i_0_225,i_0_226,i_0_294,i_0_163,i_0_164,i_0_196,i_0_217,i_0_218,i_0_236,i_0_315,i_0_316,i_0_318]) ).
cnf(i_0_385,plain,
isOpen0(cS2076),
inference(scs_inference,[],[i_0_280,i_0_361,i_0_363,i_0_288,i_0_289,i_0_292,i_0_287,i_0_225,i_0_226,i_0_294,i_0_163,i_0_164,i_0_196,i_0_217,i_0_218,i_0_236,i_0_315,i_0_316,i_0_318,i_0_327]) ).
cnf(i_0_386,plain,
aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,esk24_1(sz10))),
inference(scs_inference,[],[i_0_280,i_0_361,i_0_363,i_0_288,i_0_289,i_0_292,i_0_287,i_0_281,i_0_225,i_0_226,i_0_294,i_0_163,i_0_164,i_0_196,i_0_217,i_0_218,i_0_236,i_0_315,i_0_316,i_0_318,i_0_327,i_0_255]) ).
cnf(i_0_387,plain,
( ~ aSet0(X1)
| aSet0(X2)
| ~ aSubsetOf0(X2,X1) ),
inference(rename_variables,[],[i_0_255]) ).
cnf(i_0_388,plain,
~ aElementOf0(stldt0(sbsmnsldt0(xS)),xS),
inference(scs_inference,[],[i_0_280,i_0_361,i_0_363,i_0_288,i_0_289,i_0_292,i_0_287,i_0_281,i_0_225,i_0_226,i_0_294,i_0_163,i_0_164,i_0_196,i_0_217,i_0_218,i_0_236,i_0_315,i_0_316,i_0_318,i_0_327,i_0_255,i_0_202]) ).
cnf(i_0_389,plain,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X2,xS)
| ~ aInteger0(X1)
| ~ aElementOf0(X1,X2) ),
inference(rename_variables,[],[i_0_202]) ).
cnf(i_0_390,plain,
aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,esk24_1(smndt0(sz10)))),
inference(scs_inference,[],[i_0_280,i_0_361,i_0_363,i_0_288,i_0_289,i_0_290,i_0_292,i_0_287,i_0_281,i_0_225,i_0_226,i_0_294,i_0_163,i_0_164,i_0_196,i_0_217,i_0_218,i_0_236,i_0_315,i_0_316,i_0_318,i_0_327,i_0_255,i_0_202,i_0_356]) ).
cnf(i_0_391,plain,
( X1 = sz00
| aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X1))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(rename_variables,[],[i_0_356]) ).
cnf(i_0_392,plain,
sdteqdtlpzmzozddtrp0(sz10,sz10,esk24_1(smndt0(sz10))),
inference(scs_inference,[],[i_0_280,i_0_361,i_0_363,i_0_288,i_0_289,i_0_290,i_0_292,i_0_287,i_0_281,i_0_225,i_0_226,i_0_294,i_0_163,i_0_164,i_0_196,i_0_217,i_0_218,i_0_236,i_0_315,i_0_316,i_0_318,i_0_327,i_0_255,i_0_202,i_0_356,i_0_193]) ).
cnf(i_0_393,plain,
( X1 = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X2,X2,X1) ),
inference(rename_variables,[],[i_0_193]) ).
cnf(i_0_394,plain,
aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,esk24_1(smndt0(sz10)))),
inference(scs_inference,[],[i_0_280,i_0_361,i_0_363,i_0_288,i_0_289,i_0_290,i_0_292,i_0_287,i_0_281,i_0_225,i_0_226,i_0_294,i_0_163,i_0_164,i_0_196,i_0_217,i_0_218,i_0_236,i_0_315,i_0_316,i_0_318,i_0_327,i_0_255,i_0_202,i_0_356,i_0_193,i_0_333]) ).
cnf(i_0_395,plain,
( X1 = sz00
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
| ~ sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
inference(rename_variables,[],[i_0_333]) ).
cnf(i_0_396,plain,
( ~ aInteger0(esk24_1(sz10))
| esk24_1(sz10) = sz00 ),
inference(scs_inference,[],[i_0_280,i_0_361,i_0_363,i_0_288,i_0_289,i_0_290,i_0_292,i_0_287,i_0_281,i_0_225,i_0_226,i_0_294,i_0_163,i_0_164,i_0_196,i_0_217,i_0_218,i_0_236,i_0_315,i_0_316,i_0_318,i_0_327,i_0_255,i_0_202,i_0_356,i_0_193,i_0_333,i_0_177]) ).
cnf(i_0_397,plain,
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X1),stldt0(sbsmnsldt0(xS)))
| X1 = sz00
| ~ aInteger0(X1) ),
inference(rename_variables,[],[i_0_177]) ).
cnf(i_0_398,plain,
( ~ aInteger0(esk24_1(sz10))
| ~ aDivisorOf0(esk24_1(sz10),sz10) ),
inference(scs_inference,[],[i_0_280,i_0_361,i_0_363,i_0_288,i_0_289,i_0_290,i_0_292,i_0_287,i_0_281,i_0_225,i_0_226,i_0_294,i_0_163,i_0_164,i_0_196,i_0_217,i_0_218,i_0_236,i_0_315,i_0_316,i_0_318,i_0_327,i_0_255,i_0_202,i_0_356,i_0_193,i_0_333,i_0_177,i_0_260]) ).
cnf(i_0_399,plain,
( X1 != sz00
| ~ aInteger0(X2)
| ~ aDivisorOf0(X1,X2) ),
inference(rename_variables,[],[i_0_260]) ).
cnf(i_0_400,plain,
( ~ aInteger0(esk24_1(sz10))
| esk24_1(smndt0(sz10)) != esk24_1(sz10) ),
inference(scs_inference,[],[i_0_280,i_0_361,i_0_363,i_0_288,i_0_289,i_0_290,i_0_292,i_0_287,i_0_281,i_0_225,i_0_226,i_0_294,i_0_163,i_0_164,i_0_196,i_0_217,i_0_218,i_0_236,i_0_315,i_0_316,i_0_318,i_0_327,i_0_255,i_0_202,i_0_356,i_0_193,i_0_333,i_0_177,i_0_260,i_0_295]) ).
cnf(i_0_401,plain,
( ~ aInteger0(esk24_1(sz10))
| smndt0(sz10) != sz10 ),
inference(scs_inference,[],[i_0_280,i_0_361,i_0_363,i_0_288,i_0_289,i_0_290,i_0_292,i_0_287,i_0_281,i_0_225,i_0_226,i_0_294,i_0_163,i_0_164,i_0_196,i_0_217,i_0_218,i_0_236,i_0_315,i_0_316,i_0_318,i_0_327,i_0_255,i_0_202,i_0_356,i_0_193,i_0_333,i_0_177,i_0_260,i_0_295,i_0_303]) ).
cnf(i_0_402,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_105]) ).
cnf(i_0_403,plain,
( ~ aInteger0(esk24_1(sz10))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(smndt0(sz10),esk24_1(smndt0(sz10))))
| aDivisorOf0(esk24_1(smndt0(sz10)),sdtpldt0(X1,smndt0(smndt0(sz10)))) ),
inference(scs_inference,[],[i_0_280,i_0_361,i_0_363,i_0_288,i_0_289,i_0_290,i_0_292,i_0_287,i_0_281,i_0_225,i_0_226,i_0_294,i_0_163,i_0_164,i_0_196,i_0_217,i_0_218,i_0_236,i_0_315,i_0_316,i_0_318,i_0_327,i_0_255,i_0_202,i_0_356,i_0_193,i_0_333,i_0_177,i_0_260,i_0_295,i_0_303,i_0_112]) ).
cnf(i_0_404,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ isPrime0(X2)
| ~ sdteqdtlpzmzozddtrp0(X1,sz00,X2)
| X2 = sz00
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ),
inference(scs_inference,[],[i_0_388,i_0_125]) ).
cnf(i_0_405,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_388,i_0_134]) ).
cnf(i_0_406,plain,
( ~ aInteger0(X1)
| ~ isPrime0(X1)
| sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| X1 = sz00
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ),
inference(scs_inference,[],[i_0_388,i_0_137]) ).
cnf(i_0_407,plain,
( ~ aInteger0(X1)
| ~ isPrime0(X1)
| X1 = sz00
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) ),
inference(scs_inference,[],[i_0_388,i_0_140]) ).
cnf(i_0_408,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_388,i_0_143]) ).
cnf(i_0_409,plain,
( ~ aInteger0(X1)
| ~ isPrime0(X1)
| aInteger0(X2)
| X1 = sz00
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ),
inference(scs_inference,[],[i_0_388,i_0_174]) ).
cnf(i_0_410,plain,
( ~ aInteger0(X1)
| ~ isPrime0(X1)
| X1 = sz00
| aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ),
inference(scs_inference,[],[i_0_388,i_0_213]) ).
cnf(i_0_411,plain,
esk21_1(sz10) != sz00,
inference(scs_inference,[],[i_0_363,i_0_226]) ).
cnf(i_0_412,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| esk21_1(X1) != sz00 ),
inference(rename_variables,[],[i_0_226]) ).
cnf(i_0_413,plain,
~ aElementOf0(sz10,sbsmnsldt0(xS)),
inference(scs_inference,[],[i_0_363,i_0_226,i_0_196]) ).
cnf(i_0_414,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(rename_variables,[],[i_0_196]) ).
cnf(i_0_415,plain,
aInteger0(esk24_1(sz10)),
inference(scs_inference,[],[i_0_363,i_0_226,i_0_196,i_0_217]) ).
cnf(i_0_416,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aInteger0(esk24_1(X1)) ),
inference(rename_variables,[],[i_0_217]) ).
cnf(i_0_417,plain,
aInteger0(esk21_1(sz10)),
inference(scs_inference,[],[i_0_363,i_0_226,i_0_196,i_0_217,i_0_218]) ).
cnf(i_0_418,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aInteger0(esk21_1(X1)) ),
inference(rename_variables,[],[i_0_218]) ).
cnf(i_0_419,plain,
esk24_1(sz10) != sz00,
inference(scs_inference,[],[i_0_363,i_0_226,i_0_196,i_0_217,i_0_218,i_0_225]) ).
cnf(i_0_420,plain,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| esk24_1(X1) != sz00 ),
inference(rename_variables,[],[i_0_225]) ).
cnf(i_0_421,plain,
cS2076 = stldt0(sbsmnsldt0(xS)),
inference(scs_inference,[],[i_0_287,i_0_363,i_0_226,i_0_196,i_0_217,i_0_218,i_0_225,i_0_294]) ).
cnf(i_0_422,plain,
~ aElementOf0(cS2076,xS),
inference(scs_inference,[],[i_0_388,i_0_287,i_0_363,i_0_226,i_0_196,i_0_217,i_0_218,i_0_225,i_0_294,i_0_314]) ).
cnf(i_0_423,plain,
$false,
inference(scs_inference,[],[i_0_370,i_0_388,i_0_287,i_0_363,i_0_226,i_0_196,i_0_217,i_0_218,i_0_225,i_0_294,i_0_314,i_0_177]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM450+6 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n023.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 00:36:23 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.46/1.61 % Version : CSE_E---1.7
% 0.46/1.61 % Problem : theBenchmark.p
% 0.46/1.61 % SZS status Theorem for theBenchmark.p
% 0.46/1.61 % SZS output start CNFRefutation
% See solution above
% 0.66/1.83 % Total time : 1.272s
%------------------------------------------------------------------------------