%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM504+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n031.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 04:57:35 PM UTC 2026
% Result : Theorem 41.59s 40.24s
% Output : CNFRefutation 48.99s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_422)
% Comments :
%------------------------------------------------------------------------------
fof(m__1799,hypothesis,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( ( ( X3 != sz00
& X3 != sz10
& ! [X4] :
( ( aNaturalNumber0(X4)
& ? [X5] :
( aNaturalNumber0(X5)
& X3 = sdtasdt0(X4,X5) )
& doDivides0(X4,X3) )
=> ( X4 = sz10
| X4 = X3 ) ) )
| isPrime0(X3) )
& ( ? [X4] :
( aNaturalNumber0(X4)
& sdtasdt0(X1,X2) = sdtasdt0(X3,X4) )
| doDivides0(X3,sdtasdt0(X1,X2)) ) )
=> ( iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( ( ? [X4] :
( aNaturalNumber0(X4)
& X1 = sdtasdt0(X3,X4) )
& doDivides0(X3,X1) )
| ( ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1799) ).
fof(mAMDistr,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(mDivAsso,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != sz00
& doDivides0(X1,X2) )
=> ! [X3] :
( aNaturalNumber0(X3)
=> sdtasdt0(X3,sdtsldt0(X2,X1)) = sdtsldt0(sdtasdt0(X3,X2),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivAsso) ).
fof(mDivMin,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X1,sdtpldt0(X2,X3)) )
=> doDivides0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivMin) ).
fof(mMonMul,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( X1 != sz00
& X2 != X3
& sdtlseqdt0(X2,X3) )
=> ( sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
& sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(X2,X1) != sdtasdt0(X3,X1)
& sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul) ).
fof(mMonAdd,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> ! [X3] :
( aNaturalNumber0(X3)
=> ( sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
& sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
& sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
& sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonAdd) ).
fof(mDivSum,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X1,X3) )
=> doDivides0(X1,sdtpldt0(X2,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivSum) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(mDefQuot,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != sz00
& doDivides0(X1,X2) )
=> ! [X3] :
( X3 = sdtsldt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
=> ! [X3] :
( X3 = sdtmndt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(mDivTrans,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X2,X3) )
=> doDivides0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivTrans) ).
fof(mLETran,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETran) ).
fof(mDefLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(mMulCanc,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 != sz00
=> ! [X2,X3] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtasdt0(X1,X2) = sdtasdt0(X1,X3)
| sdtasdt0(X2,X1) = sdtasdt0(X3,X1) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).
fof(mAddCanc,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtpldt0(X1,X2) = sdtpldt0(X1,X3)
| sdtpldt0(X2,X1) = sdtpldt0(X3,X1) )
=> X2 = X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).
fof(mLEAsym,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
fof(mMonMul2,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul2) ).
fof(m__2414,hypothesis,
( sdtasdt0(xn,xm) != sdtasdt0(xp,xm)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(sdtasdt0(xn,xm),X1) = sdtasdt0(xp,xm) )
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& sdtasdt0(xp,xm) != sdtasdt0(xp,xk)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(sdtasdt0(xp,xm),X1) = sdtasdt0(xp,xk) )
& sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2414) ).
fof(mIH_03,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> iLess0(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH_03) ).
fof(mDivLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X1,X2)
& X2 != sz00 )
=> sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivLE) ).
fof(mDefPrime,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( isPrime0(X1)
<=> ( X1 != sz00
& X1 != sz10
& ! [X2] :
( ( aNaturalNumber0(X2)
& doDivides0(X2,X1) )
=> ( X2 = sz10
| X2 = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(mLETotal,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( X2 != X1
& sdtlseqdt0(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(mZeroMul,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroMul) ).
fof(m__2342,hypothesis,
( aNaturalNumber0(xr)
& ? [X1] :
( aNaturalNumber0(X1)
& xk = sdtasdt0(xr,X1) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xr = sdtasdt0(X1,X2) )
| doDivides0(X1,xr) ) )
=> ( X1 = sz10
| X1 = xr ) )
& isPrime0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(m__1860,hypothesis,
( xp != sz00
& xp != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xp = sdtasdt0(X1,X2) )
| doDivides0(X1,xp) ) )
=> ( X1 = sz10
| X1 = xp ) )
& isPrime0(xp)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(mZeroAdd,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtpldt0(X1,X2) = sz00
=> ( X1 = sz00
& X2 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroAdd) ).
fof(m__2362,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xr,X1) = xk )
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xr,X1) )
& doDivides0(xr,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2362) ).
fof(mPrimDiv,axiom,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ? [X2] :
( aNaturalNumber0(X2)
& doDivides0(X2,X1)
& isPrime0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPrimDiv) ).
fof(m__2075,hypothesis,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xm )
| sdtlseqdt0(xp,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2075) ).
fof(m__1870,hypothesis,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xn )
| sdtlseqdt0(xp,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1870) ).
fof(mLENTr,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 = sz00
| X1 = sz10
| ( sz10 != X1
& sdtlseqdt0(sz10,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLENTr) ).
fof(mLERefl,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERefl) ).
fof(m_MulUnit,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(m_AddZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(m_MulZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(m__2389,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xk )
& sdtlseqdt0(xp,xk) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2389) ).
fof(m__2287,hypothesis,
( xn != xp
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xn,X1) = xp )
& sdtlseqdt0(xn,xp)
& xm != xp
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = xp )
& sdtlseqdt0(xm,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2287) ).
fof(m__2315,hypothesis,
~ ( xk = sz00
| xk = sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2315) ).
fof(m__2306,hypothesis,
( aNaturalNumber0(xk)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(mSortsC_01,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(m__2327,hypothesis,
( xk != sz00
& xk != sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2327) ).
fof(i_0_49,hypothesis,
! [X193,X194,X195,X198] :
( ( aNaturalNumber0(esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| aNaturalNumber0(esk5_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| aNaturalNumber0(esk5_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| aNaturalNumber0(esk5_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| aNaturalNumber0(esk5_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| aNaturalNumber0(esk5_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| aNaturalNumber0(esk5_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| aNaturalNumber0(esk5_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| aNaturalNumber0(esk5_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| aNaturalNumber0(esk5_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| aNaturalNumber0(esk5_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| aNaturalNumber0(esk5_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| aNaturalNumber0(esk5_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| aNaturalNumber0(esk5_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| aNaturalNumber0(esk5_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| aNaturalNumber0(esk5_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| aNaturalNumber0(esk5_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| aNaturalNumber0(esk5_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| aNaturalNumber0(esk5_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| aNaturalNumber0(esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| aNaturalNumber0(esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| aNaturalNumber0(esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| aNaturalNumber0(esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| aNaturalNumber0(esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| aNaturalNumber0(esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| aNaturalNumber0(esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| aNaturalNumber0(esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| aNaturalNumber0(esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| aNaturalNumber0(esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| aNaturalNumber0(esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| aNaturalNumber0(esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| aNaturalNumber0(esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| aNaturalNumber0(esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| aNaturalNumber0(esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| aNaturalNumber0(esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| aNaturalNumber0(esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| aNaturalNumber0(esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| X195 = sdtasdt0(esk5_3(X193,X194,X195),esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| X195 = sdtasdt0(esk5_3(X193,X194,X195),esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| X195 = sdtasdt0(esk5_3(X193,X194,X195),esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| X195 = sdtasdt0(esk5_3(X193,X194,X195),esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| X195 = sdtasdt0(esk5_3(X193,X194,X195),esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| X195 = sdtasdt0(esk5_3(X193,X194,X195),esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| X195 = sdtasdt0(esk5_3(X193,X194,X195),esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| X195 = sdtasdt0(esk5_3(X193,X194,X195),esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| X195 = sdtasdt0(esk5_3(X193,X194,X195),esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| X195 = sdtasdt0(esk5_3(X193,X194,X195),esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| X195 = sdtasdt0(esk5_3(X193,X194,X195),esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| X195 = sdtasdt0(esk5_3(X193,X194,X195),esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| X195 = sdtasdt0(esk5_3(X193,X194,X195),esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| X195 = sdtasdt0(esk5_3(X193,X194,X195),esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| X195 = sdtasdt0(esk5_3(X193,X194,X195),esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| X195 = sdtasdt0(esk5_3(X193,X194,X195),esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| X195 = sdtasdt0(esk5_3(X193,X194,X195),esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| X195 = sdtasdt0(esk5_3(X193,X194,X195),esk6_3(X193,X194,X195))
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| doDivides0(esk5_3(X193,X194,X195),X195)
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| doDivides0(esk5_3(X193,X194,X195),X195)
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| doDivides0(esk5_3(X193,X194,X195),X195)
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| doDivides0(esk5_3(X193,X194,X195),X195)
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| doDivides0(esk5_3(X193,X194,X195),X195)
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| doDivides0(esk5_3(X193,X194,X195),X195)
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| doDivides0(esk5_3(X193,X194,X195),X195)
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| doDivides0(esk5_3(X193,X194,X195),X195)
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| doDivides0(esk5_3(X193,X194,X195),X195)
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| doDivides0(esk5_3(X193,X194,X195),X195)
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| doDivides0(esk5_3(X193,X194,X195),X195)
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| doDivides0(esk5_3(X193,X194,X195),X195)
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| doDivides0(esk5_3(X193,X194,X195),X195)
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| doDivides0(esk5_3(X193,X194,X195),X195)
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| doDivides0(esk5_3(X193,X194,X195),X195)
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| doDivides0(esk5_3(X193,X194,X195),X195)
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| doDivides0(esk5_3(X193,X194,X195),X195)
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| doDivides0(esk5_3(X193,X194,X195),X195)
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| esk5_3(X193,X194,X195) != sz10
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| esk5_3(X193,X194,X195) != sz10
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| esk5_3(X193,X194,X195) != sz10
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| esk5_3(X193,X194,X195) != sz10
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| esk5_3(X193,X194,X195) != sz10
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| esk5_3(X193,X194,X195) != sz10
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| esk5_3(X193,X194,X195) != sz10
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| esk5_3(X193,X194,X195) != sz10
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| esk5_3(X193,X194,X195) != sz10
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| esk5_3(X193,X194,X195) != sz10
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| esk5_3(X193,X194,X195) != sz10
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| esk5_3(X193,X194,X195) != sz10
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| esk5_3(X193,X194,X195) != sz10
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| esk5_3(X193,X194,X195) != sz10
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| esk5_3(X193,X194,X195) != sz10
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| esk5_3(X193,X194,X195) != sz10
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| esk5_3(X193,X194,X195) != sz10
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| esk5_3(X193,X194,X195) != sz10
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| esk5_3(X193,X194,X195) != X195
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| esk5_3(X193,X194,X195) != X195
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| esk5_3(X193,X194,X195) != X195
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| esk5_3(X193,X194,X195) != X195
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| esk5_3(X193,X194,X195) != X195
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| esk5_3(X193,X194,X195) != X195
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| esk5_3(X193,X194,X195) != X195
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| esk5_3(X193,X194,X195) != X195
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| esk5_3(X193,X194,X195) != X195
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| esk5_3(X193,X194,X195) != X195
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| esk5_3(X193,X194,X195) != X195
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| esk5_3(X193,X194,X195) != X195
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| esk5_3(X193,X194,X195) != X195
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| esk5_3(X193,X194,X195) != X195
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| esk5_3(X193,X194,X195) != X195
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| esk5_3(X193,X194,X195) != X195
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| esk5_3(X193,X194,X195) != X195
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| esk5_3(X193,X194,X195) != X195
| X195 = sz00
| X195 = sz10
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| ~ isPrime0(X195)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| ~ isPrime0(X195)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| ~ isPrime0(X195)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| ~ isPrime0(X195)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| ~ isPrime0(X195)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| ~ isPrime0(X195)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| ~ isPrime0(X195)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| ~ isPrime0(X195)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X198)
| sdtasdt0(X193,X194) != sdtasdt0(X195,X198)
| ~ isPrime0(X195)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| ~ isPrime0(X195)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| ~ isPrime0(X195)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| aNaturalNumber0(esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| ~ isPrime0(X195)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| ~ isPrime0(X195)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| ~ isPrime0(X195)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| X193 = sdtasdt0(X195,esk7_3(X193,X194,X195))
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| ~ isPrime0(X195)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( aNaturalNumber0(esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| ~ isPrime0(X195)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( X194 = sdtasdt0(X195,esk8_3(X193,X194,X195))
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| ~ isPrime0(X195)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) )
& ( doDivides0(X195,X194)
| doDivides0(X195,X193)
| ~ iLess0(sdtpldt0(sdtpldt0(X193,X194),X195),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X195,sdtasdt0(X193,X194))
| ~ isPrime0(X195)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194)
| ~ aNaturalNumber0(X195) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1799])])])])]) ).
fof(i_0_50,plain,
! [X128,X129,X130] :
( ( sdtasdt0(X128,sdtpldt0(X129,X130)) = sdtpldt0(sdtasdt0(X128,X129),sdtasdt0(X128,X130))
| ~ aNaturalNumber0(X128)
| ~ aNaturalNumber0(X129)
| ~ aNaturalNumber0(X130) )
& ( sdtasdt0(sdtpldt0(X129,X130),X128) = sdtpldt0(sdtasdt0(X129,X128),sdtasdt0(X130,X128))
| ~ aNaturalNumber0(X128)
| ~ aNaturalNumber0(X129)
| ~ aNaturalNumber0(X130) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
fof(i_0_51,plain,
! [X185,X186,X187] :
( ~ aNaturalNumber0(X185)
| ~ aNaturalNumber0(X186)
| X185 = sz00
| ~ doDivides0(X185,X186)
| ~ aNaturalNumber0(X187)
| sdtasdt0(X187,sdtsldt0(X186,X185)) = sdtsldt0(sdtasdt0(X187,X186),X185) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivAsso])])]) ).
fof(i_0_52,plain,
! [X180,X181,X182] :
( ~ aNaturalNumber0(X180)
| ~ aNaturalNumber0(X181)
| ~ aNaturalNumber0(X182)
| ~ doDivides0(X180,X181)
| ~ doDivides0(X180,sdtpldt0(X181,X182))
| doDivides0(X180,X182) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivMin])]) ).
fof(i_0_53,plain,
! [X159,X160,X161] :
( ( sdtasdt0(X159,X160) != sdtasdt0(X159,X161)
| X159 = sz00
| X160 = X161
| ~ sdtlseqdt0(X160,X161)
| ~ aNaturalNumber0(X159)
| ~ aNaturalNumber0(X160)
| ~ aNaturalNumber0(X161) )
& ( sdtlseqdt0(sdtasdt0(X159,X160),sdtasdt0(X159,X161))
| X159 = sz00
| X160 = X161
| ~ sdtlseqdt0(X160,X161)
| ~ aNaturalNumber0(X159)
| ~ aNaturalNumber0(X160)
| ~ aNaturalNumber0(X161) )
& ( sdtasdt0(X160,X159) != sdtasdt0(X161,X159)
| X159 = sz00
| X160 = X161
| ~ sdtlseqdt0(X160,X161)
| ~ aNaturalNumber0(X159)
| ~ aNaturalNumber0(X160)
| ~ aNaturalNumber0(X161) )
& ( sdtlseqdt0(sdtasdt0(X160,X159),sdtasdt0(X161,X159))
| X159 = sz00
| X160 = X161
| ~ sdtlseqdt0(X160,X161)
| ~ aNaturalNumber0(X159)
| ~ aNaturalNumber0(X160)
| ~ aNaturalNumber0(X161) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul])])]) ).
fof(i_0_54,plain,
! [X156,X157,X158] :
( ( sdtpldt0(X158,X156) != sdtpldt0(X158,X157)
| ~ aNaturalNumber0(X158)
| X156 = X157
| ~ sdtlseqdt0(X156,X157)
| ~ aNaturalNumber0(X156)
| ~ aNaturalNumber0(X157) )
& ( sdtlseqdt0(sdtpldt0(X158,X156),sdtpldt0(X158,X157))
| ~ aNaturalNumber0(X158)
| X156 = X157
| ~ sdtlseqdt0(X156,X157)
| ~ aNaturalNumber0(X156)
| ~ aNaturalNumber0(X157) )
& ( sdtpldt0(X156,X158) != sdtpldt0(X157,X158)
| ~ aNaturalNumber0(X158)
| X156 = X157
| ~ sdtlseqdt0(X156,X157)
| ~ aNaturalNumber0(X156)
| ~ aNaturalNumber0(X157) )
& ( sdtlseqdt0(sdtpldt0(X156,X158),sdtpldt0(X157,X158))
| ~ aNaturalNumber0(X158)
| X156 = X157
| ~ sdtlseqdt0(X156,X157)
| ~ aNaturalNumber0(X156)
| ~ aNaturalNumber0(X157) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonAdd])])])]) ).
fof(i_0_55,plain,
! [X177,X178,X179] :
( ~ aNaturalNumber0(X177)
| ~ aNaturalNumber0(X178)
| ~ aNaturalNumber0(X179)
| ~ doDivides0(X177,X178)
| ~ doDivides0(X177,X179)
| doDivides0(X177,sdtpldt0(X178,X179)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivSum])]) ).
fof(i_0_56,plain,
! [X123,X124,X125] :
( ~ aNaturalNumber0(X123)
| ~ aNaturalNumber0(X124)
| ~ aNaturalNumber0(X125)
| sdtasdt0(sdtasdt0(X123,X124),X125) = sdtasdt0(X123,sdtasdt0(X124,X125)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(i_0_57,plain,
! [X117,X118,X119] :
( ~ aNaturalNumber0(X117)
| ~ aNaturalNumber0(X118)
| ~ aNaturalNumber0(X119)
| sdtpldt0(sdtpldt0(X117,X118),X119) = sdtpldt0(X117,sdtpldt0(X118,X119)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(i_0_58,plain,
! [X171,X172,X173] :
( ( aNaturalNumber0(X173)
| X173 != sdtsldt0(X172,X171)
| X171 = sz00
| ~ doDivides0(X171,X172)
| ~ aNaturalNumber0(X171)
| ~ aNaturalNumber0(X172) )
& ( X172 = sdtasdt0(X171,X173)
| X173 != sdtsldt0(X172,X171)
| X171 = sz00
| ~ doDivides0(X171,X172)
| ~ aNaturalNumber0(X171)
| ~ aNaturalNumber0(X172) )
& ( ~ aNaturalNumber0(X173)
| X172 != sdtasdt0(X171,X173)
| X173 = sdtsldt0(X172,X171)
| X171 = sz00
| ~ doDivides0(X171,X172)
| ~ aNaturalNumber0(X171)
| ~ aNaturalNumber0(X172) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefQuot])])])]) ).
fof(i_0_59,plain,
! [X145,X146,X147] :
( ( aNaturalNumber0(X147)
| X147 != sdtmndt0(X146,X145)
| ~ sdtlseqdt0(X145,X146)
| ~ aNaturalNumber0(X145)
| ~ aNaturalNumber0(X146) )
& ( sdtpldt0(X145,X147) = X146
| X147 != sdtmndt0(X146,X145)
| ~ sdtlseqdt0(X145,X146)
| ~ aNaturalNumber0(X145)
| ~ aNaturalNumber0(X146) )
& ( ~ aNaturalNumber0(X147)
| sdtpldt0(X145,X147) != X146
| X147 = sdtmndt0(X146,X145)
| ~ sdtlseqdt0(X145,X146)
| ~ aNaturalNumber0(X145)
| ~ aNaturalNumber0(X146) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])]) ).
fof(i_0_60,plain,
! [X174,X175,X176] :
( ~ aNaturalNumber0(X174)
| ~ aNaturalNumber0(X175)
| ~ aNaturalNumber0(X176)
| ~ doDivides0(X174,X175)
| ~ doDivides0(X175,X176)
| doDivides0(X174,X176) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])]) ).
fof(i_0_61,plain,
! [X151,X152,X153] :
( ~ aNaturalNumber0(X151)
| ~ aNaturalNumber0(X152)
| ~ aNaturalNumber0(X153)
| ~ sdtlseqdt0(X151,X152)
| ~ sdtlseqdt0(X152,X153)
| sdtlseqdt0(X151,X153) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETran])]) ).
fof(i_0_62,plain,
! [X141,X142,X144] :
( ( aNaturalNumber0(esk1_2(X141,X142))
| ~ sdtlseqdt0(X141,X142)
| ~ aNaturalNumber0(X141)
| ~ aNaturalNumber0(X142) )
& ( sdtpldt0(X141,esk1_2(X141,X142)) = X142
| ~ sdtlseqdt0(X141,X142)
| ~ aNaturalNumber0(X141)
| ~ aNaturalNumber0(X142) )
& ( ~ aNaturalNumber0(X144)
| sdtpldt0(X141,X144) != X142
| sdtlseqdt0(X141,X142)
| ~ aNaturalNumber0(X141)
| ~ aNaturalNumber0(X142) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefLE])])])])]) ).
fof(i_0_63,plain,
! [X167,X168,X170] :
( ( aNaturalNumber0(esk2_2(X167,X168))
| ~ doDivides0(X167,X168)
| ~ aNaturalNumber0(X167)
| ~ aNaturalNumber0(X168) )
& ( X168 = sdtasdt0(X167,esk2_2(X167,X168))
| ~ doDivides0(X167,X168)
| ~ aNaturalNumber0(X167)
| ~ aNaturalNumber0(X168) )
& ( ~ aNaturalNumber0(X170)
| X168 != sdtasdt0(X167,X170)
| doDivides0(X167,X168)
| ~ aNaturalNumber0(X167)
| ~ aNaturalNumber0(X168) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiv])])])])]) ).
fof(i_0_64,plain,
! [X134,X135,X136] :
( ( sdtasdt0(X134,X135) != sdtasdt0(X134,X136)
| X135 = X136
| ~ aNaturalNumber0(X135)
| ~ aNaturalNumber0(X136)
| X134 = sz00
| ~ aNaturalNumber0(X134) )
& ( sdtasdt0(X135,X134) != sdtasdt0(X136,X134)
| X135 = X136
| ~ aNaturalNumber0(X135)
| ~ aNaturalNumber0(X136)
| X134 = sz00
| ~ aNaturalNumber0(X134) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulCanc])])])]) ).
fof(i_0_65,plain,
! [X131,X132,X133] :
( ( sdtpldt0(X131,X132) != sdtpldt0(X131,X133)
| X132 = X133
| ~ aNaturalNumber0(X131)
| ~ aNaturalNumber0(X132)
| ~ aNaturalNumber0(X133) )
& ( sdtpldt0(X132,X131) != sdtpldt0(X133,X131)
| X132 = X133
| ~ aNaturalNumber0(X131)
| ~ aNaturalNumber0(X132)
| ~ aNaturalNumber0(X133) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddCanc])])]) ).
fof(i_0_66,plain,
! [X149,X150] :
( ~ aNaturalNumber0(X149)
| ~ aNaturalNumber0(X150)
| ~ sdtlseqdt0(X149,X150)
| ~ sdtlseqdt0(X150,X149)
| X149 = X150 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])]) ).
fof(i_0_67,plain,
! [X163,X164] :
( ~ aNaturalNumber0(X163)
| ~ aNaturalNumber0(X164)
| X163 = sz00
| sdtlseqdt0(X164,sdtasdt0(X164,X163)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul2])]) ).
fof(i_0_68,hypothesis,
( sdtasdt0(xn,xm) != sdtasdt0(xp,xm)
& aNaturalNumber0(esk16_0)
& sdtpldt0(sdtasdt0(xn,xm),esk16_0) = sdtasdt0(xp,xm)
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& sdtasdt0(xp,xm) != sdtasdt0(xp,xk)
& aNaturalNumber0(esk17_0)
& sdtpldt0(sdtasdt0(xp,xm),esk17_0) = sdtasdt0(xp,xk)
& sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2414])]) ).
fof(i_0_69,plain,
! [X165,X166] :
( ~ aNaturalNumber0(X165)
| ~ aNaturalNumber0(X166)
| X165 = X166
| ~ sdtlseqdt0(X165,X166)
| iLess0(X165,X166) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH_03])]) ).
fof(i_0_70,plain,
! [X183,X184] :
( ~ aNaturalNumber0(X183)
| ~ aNaturalNumber0(X184)
| ~ doDivides0(X183,X184)
| X184 = sz00
| sdtlseqdt0(X183,X184) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivLE])]) ).
fof(i_0_71,plain,
! [X188,X189] :
( ( X188 != sz00
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X188) )
& ( X188 != sz10
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X188) )
& ( ~ aNaturalNumber0(X189)
| ~ doDivides0(X189,X188)
| X189 = sz10
| X189 = X188
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk3_1(X188))
| X188 = sz00
| X188 = sz10
| isPrime0(X188)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(esk3_1(X188),X188)
| X188 = sz00
| X188 = sz10
| isPrime0(X188)
| ~ aNaturalNumber0(X188) )
& ( esk3_1(X188) != sz10
| X188 = sz00
| X188 = sz10
| isPrime0(X188)
| ~ aNaturalNumber0(X188) )
& ( esk3_1(X188) != X188
| X188 = sz00
| X188 = sz10
| isPrime0(X188)
| ~ aNaturalNumber0(X188) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefPrime])])])])]) ).
fof(i_0_72,plain,
! [X113,X114] :
( ~ aNaturalNumber0(X113)
| ~ aNaturalNumber0(X114)
| aNaturalNumber0(sdtasdt0(X113,X114)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(i_0_73,plain,
! [X111,X112] :
( ~ aNaturalNumber0(X111)
| ~ aNaturalNumber0(X112)
| aNaturalNumber0(sdtpldt0(X111,X112)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(i_0_74,plain,
! [X154,X155] :
( ( X155 != X154
| sdtlseqdt0(X154,X155)
| ~ aNaturalNumber0(X154)
| ~ aNaturalNumber0(X155) )
& ( sdtlseqdt0(X155,X154)
| sdtlseqdt0(X154,X155)
| ~ aNaturalNumber0(X154)
| ~ aNaturalNumber0(X155) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETotal])])]) ).
fof(i_0_75,plain,
! [X121,X122] :
( ~ aNaturalNumber0(X121)
| ~ aNaturalNumber0(X122)
| sdtasdt0(X121,X122) = sdtasdt0(X122,X121) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(i_0_76,plain,
! [X115,X116] :
( ~ aNaturalNumber0(X115)
| ~ aNaturalNumber0(X116)
| sdtpldt0(X115,X116) = sdtpldt0(X116,X115) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
fof(i_0_77,plain,
! [X139,X140] :
( ~ aNaturalNumber0(X139)
| ~ aNaturalNumber0(X140)
| sdtasdt0(X139,X140) != sz00
| X139 = sz00
| X140 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroMul])]) ).
fof(i_0_78,hypothesis,
! [X209,X210] :
( aNaturalNumber0(xr)
& aNaturalNumber0(esk12_0)
& xk = sdtasdt0(xr,esk12_0)
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ( ~ aNaturalNumber0(X210)
| xr != sdtasdt0(X209,X210)
| ~ aNaturalNumber0(X209)
| X209 = sz10
| X209 = xr )
& ( ~ doDivides0(X209,xr)
| ~ aNaturalNumber0(X209)
| X209 = sz10
| X209 = xr )
& isPrime0(xr) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2342])])])])]) ).
fof(i_0_79,hypothesis,
! [X201,X202] :
( xp != sz00
& xp != sz10
& ( ~ aNaturalNumber0(X202)
| xp != sdtasdt0(X201,X202)
| ~ aNaturalNumber0(X201)
| X201 = sz10
| X201 = xp )
& ( ~ doDivides0(X201,xp)
| ~ aNaturalNumber0(X201)
| X201 = sz10
| X201 = xp )
& isPrime0(xp)
& aNaturalNumber0(esk9_0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,esk9_0)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1860])])])])]) ).
fof(i_0_80,plain,
! [X137,X138] :
( ( X137 = sz00
| sdtpldt0(X137,X138) != sz00
| ~ aNaturalNumber0(X137)
| ~ aNaturalNumber0(X138) )
& ( X138 = sz00
| sdtpldt0(X137,X138) != sz00
| ~ aNaturalNumber0(X137)
| ~ aNaturalNumber0(X138) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroAdd])])]) ).
fof(i_0_81,hypothesis,
( aNaturalNumber0(esk13_0)
& sdtpldt0(xr,esk13_0) = xk
& aNaturalNumber0(esk14_0)
& sdtasdt0(xn,xm) = sdtasdt0(xr,esk14_0)
& doDivides0(xr,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2362])]) ).
fof(i_0_82,plain,
! [X191] :
( ( aNaturalNumber0(esk4_1(X191))
| ~ aNaturalNumber0(X191)
| X191 = sz00
| X191 = sz10 )
& ( doDivides0(esk4_1(X191),X191)
| ~ aNaturalNumber0(X191)
| X191 = sz00
| X191 = sz10 )
& ( isPrime0(esk4_1(X191))
| ~ aNaturalNumber0(X191)
| X191 = sz00
| X191 = sz10 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPrimDiv])])])]) ).
fof(i_0_83,hypothesis,
! [X205] :
( ( ~ aNaturalNumber0(X205)
| sdtpldt0(xp,X205) != xm )
& ~ sdtlseqdt0(xp,xm) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2075])])]) ).
fof(i_0_84,hypothesis,
! [X204] :
( ( ~ aNaturalNumber0(X204)
| sdtpldt0(xp,X204) != xn )
& ~ sdtlseqdt0(xp,xn) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1870])])]) ).
fof(i_0_85,plain,
! [X162] :
( ( sz10 != X162
| X162 = sz00
| X162 = sz10
| ~ aNaturalNumber0(X162) )
& ( sdtlseqdt0(sz10,X162)
| X162 = sz00
| X162 = sz10
| ~ aNaturalNumber0(X162) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLENTr])])]) ).
fof(i_0_86,plain,
! [X148] :
( ~ aNaturalNumber0(X148)
| sdtlseqdt0(X148,X148) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERefl])]) ).
fof(i_0_87,plain,
! [X126] :
( ( sdtasdt0(X126,sz10) = X126
| ~ aNaturalNumber0(X126) )
& ( X126 = sdtasdt0(sz10,X126)
| ~ aNaturalNumber0(X126) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).
fof(i_0_88,plain,
! [X120] :
( ( sdtpldt0(X120,sz00) = X120
| ~ aNaturalNumber0(X120) )
& ( X120 = sdtpldt0(sz00,X120)
| ~ aNaturalNumber0(X120) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])]) ).
fof(i_0_89,plain,
! [X127] :
( ( sdtasdt0(X127,sz00) = sz00
| ~ aNaturalNumber0(X127) )
& ( sz00 = sdtasdt0(sz00,X127)
| ~ aNaturalNumber0(X127) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])]) ).
fof(i_0_90,hypothesis,
( aNaturalNumber0(esk15_0)
& sdtpldt0(xp,esk15_0) = xk
& sdtlseqdt0(xp,xk) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2389])]) ).
fof(i_0_91,hypothesis,
( xn != xp
& aNaturalNumber0(esk10_0)
& sdtpldt0(xn,esk10_0) = xp
& sdtlseqdt0(xn,xp)
& xm != xp
& aNaturalNumber0(esk11_0)
& sdtpldt0(xm,esk11_0) = xp
& sdtlseqdt0(xm,xp) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2287])]) ).
fof(i_0_92,hypothesis,
( xk != sz00
& xk != sz10 ),
inference(fof_nnf,[status(thm)],[m__2315]) ).
cnf(i_0_93,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| X2 = sdtasdt0(esk5_3(X3,X1,X2),esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_94,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| X2 = sdtasdt0(esk5_3(X3,X1,X2),esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_95,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| X3 = sdtasdt0(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_96,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| X2 = sdtasdt0(esk5_3(X3,X1,X2),esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_97,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| X3 = sdtasdt0(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_98,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| X2 = sdtasdt0(esk5_3(X3,X1,X2),esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_99,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| X3 = sdtasdt0(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_100,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| X3 = sdtasdt0(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_101,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| X1 = sdtasdt0(esk5_3(X3,X2,X1),esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_102,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| X2 = sdtasdt0(esk5_3(X3,X1,X2),esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_103,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| doDivides0(esk5_3(X3,X1,X2),X2)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_104,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| aNaturalNumber0(esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_105,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| aNaturalNumber0(esk5_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_106,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| X1 = sdtasdt0(esk5_3(X3,X2,X1),esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_107,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| X3 = sdtasdt0(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_108,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| doDivides0(esk5_3(X3,X1,X2),X2)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_109,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| doDivides0(esk5_3(X1,X2,X3),X3)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_110,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| X1 = sdtasdt0(esk5_3(X3,X2,X1),esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_111,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| X2 = sdtasdt0(esk5_3(X3,X1,X2),esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_112,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| doDivides0(esk5_3(X3,X1,X2),X2)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_113,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| aNaturalNumber0(esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_114,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| aNaturalNumber0(esk5_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_115,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| aNaturalNumber0(esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_116,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| aNaturalNumber0(esk5_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_117,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| doDivides0(esk5_3(X1,X2,X3),X3)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_118,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| aNaturalNumber0(esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_119,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| aNaturalNumber0(esk5_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_120,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| X1 = sdtasdt0(esk5_3(X3,X2,X1),esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_121,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| X3 = sdtasdt0(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_122,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| doDivides0(esk5_3(X3,X1,X2),X2)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_123,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| doDivides0(esk5_3(X1,X2,X3),X3)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_124,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| aNaturalNumber0(esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_125,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| aNaturalNumber0(esk5_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_126,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| aNaturalNumber0(esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_127,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| aNaturalNumber0(esk5_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_128,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| aNaturalNumber0(esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_129,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| aNaturalNumber0(esk5_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_130,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| doDivides0(esk5_3(X1,X2,X3),X3)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_131,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| esk5_3(X3,X1,X2) != X2
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_132,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| esk5_3(X3,X1,X2) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_133,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| aNaturalNumber0(esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_134,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| aNaturalNumber0(esk5_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_135,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| esk5_3(X3,X1,X2) != X2
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_136,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| esk5_3(X1,X2,X3) != X3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_137,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| esk5_3(X3,X1,X2) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_138,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| esk5_3(X1,X2,X3) != sz10
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_139,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| esk5_3(X3,X1,X2) != X2
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_140,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| esk5_3(X3,X1,X2) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_141,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| esk5_3(X1,X2,X3) != X3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_142,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| esk5_3(X1,X2,X3) != sz10
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_143,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| esk5_3(X3,X1,X2) != X2
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_144,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| esk5_3(X1,X2,X3) != X3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_145,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| esk5_3(X3,X1,X2) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_146,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| esk5_3(X1,X2,X3) != sz10
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_147,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| esk5_3(X1,X2,X3) != X3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_148,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| esk5_3(X1,X2,X3) != sz10
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_149,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| X1 = sdtasdt0(esk5_3(X3,X2,X1),esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_150,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| doDivides0(esk5_3(X3,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_151,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| doDivides0(esk5_3(X3,X1,X2),X2)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_152,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_153,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| aNaturalNumber0(esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_154,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| aNaturalNumber0(esk5_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_155,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| aNaturalNumber0(esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_156,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| aNaturalNumber0(esk5_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_157,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| doDivides0(esk5_3(X3,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_158,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| doDivides0(esk5_3(X1,X2,X3),X3)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_159,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| X1 = sdtasdt0(esk5_3(X3,X2,X1),esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_160,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| doDivides0(esk5_3(X3,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_161,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| doDivides0(esk5_3(X3,X1,X2),X2)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_162,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_163,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_164,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| aNaturalNumber0(esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_165,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| aNaturalNumber0(esk5_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_166,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| aNaturalNumber0(esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_167,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| aNaturalNumber0(esk5_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_168,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_169,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| aNaturalNumber0(esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_170,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| aNaturalNumber0(esk5_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_171,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| aNaturalNumber0(esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_172,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| aNaturalNumber0(esk5_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_173,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| doDivides0(esk5_3(X3,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_174,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| doDivides0(esk5_3(X1,X2,X3),X3)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_175,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_176,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_177,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_178,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| aNaturalNumber0(esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_179,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| aNaturalNumber0(esk5_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_180,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| aNaturalNumber0(esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_181,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| aNaturalNumber0(esk5_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_182,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| esk5_3(X3,X2,X1) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_183,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| esk5_3(X3,X1,X2) != X2
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_184,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| esk5_3(X3,X2,X1) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_185,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| esk5_3(X3,X1,X2) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_186,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_187,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| esk5_3(X3,X2,X1) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_188,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| esk5_3(X1,X2,X3) != X3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_189,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| esk5_3(X3,X2,X1) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_190,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| esk5_3(X1,X2,X3) != sz10
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_191,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| esk5_3(X3,X2,X1) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_192,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| esk5_3(X3,X1,X2) != X2
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_193,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| esk5_3(X3,X2,X1) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_194,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| esk5_3(X3,X1,X2) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_195,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| esk5_3(X3,X2,X1) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_196,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| esk5_3(X1,X2,X3) != X3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_197,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| esk5_3(X3,X2,X1) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_198,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| esk5_3(X1,X2,X3) != sz10
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_199,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| doDivides0(esk5_3(X3,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_200,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_201,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_202,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| aNaturalNumber0(esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_203,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| aNaturalNumber0(esk5_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_204,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| doDivides0(esk5_3(X3,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_205,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_206,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_207,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_208,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_209,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| aNaturalNumber0(esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_210,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| aNaturalNumber0(esk5_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_211,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_212,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_213,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| esk5_3(X3,X2,X1) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_214,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| esk5_3(X3,X2,X1) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_215,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| esk5_3(X3,X2,X1) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_216,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| esk5_3(X3,X2,X1) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_217,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_218,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_219,plain,
( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_220,plain,
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_221,plain,
( X1 = sz00
| sdtasdt0(X3,sdtsldt0(X2,X1)) = sdtsldt0(sdtasdt0(X3,X2),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_222,plain,
( doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X1,sdtpldt0(X2,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_223,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2))
| X2 = sz00
| X1 = X3
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_224,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| X1 = sz00
| X2 = X3
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_225,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X2))
| X1 = X3
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_226,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X1,X3))
| X2 = X3
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_227,plain,
( doDivides0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_228,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_229,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_230,plain,
( X2 = sz00
| X1 = X3
| sdtasdt0(X1,X2) != sdtasdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_231,plain,
( X1 = sz00
| X2 = X3
| sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_232,plain,
( X1 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_233,plain,
( X2 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_234,plain,
( X1 = sdtsldt0(X2,X3)
| X3 = sz00
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_235,plain,
( X1 = sdtmndt0(X3,X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_236,plain,
( doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_237,plain,
( sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_238,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_239,plain,
( X1 = sdtasdt0(X2,esk2_2(X2,X1))
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_240,plain,
( X1 = sdtasdt0(X2,X3)
| X2 = sz00
| X3 != sdtsldt0(X1,X2)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_241,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_242,plain,
( X1 = X3
| X2 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_243,plain,
( X2 = X3
| X1 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_244,plain,
( X1 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_245,plain,
( X2 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_246,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_247,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_248,plain,
( aNaturalNumber0(X1)
| X3 = sz00
| X1 != sdtsldt0(X2,X3)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_249,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_250,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_251,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_252,plain,
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_253,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_254,hypothesis,
sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_255,hypothesis,
sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_256,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_257,plain,
( X2 = sz00
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_258,plain,
( X1 = sz10
| X1 = X2
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_259,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_260,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_261,hypothesis,
sdtpldt0(sdtasdt0(xp,xm),esk17_0) = sdtasdt0(xp,xk),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_262,hypothesis,
sdtpldt0(sdtasdt0(xn,xm),esk16_0) = sdtasdt0(xp,xm),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_263,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_264,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_265,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_266,plain,
( X1 = sz00
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_267,hypothesis,
( X2 = sz10
| X2 = xr
| ~ aNaturalNumber0(X1)
| xr != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_268,hypothesis,
( X2 = sz10
| X2 = xp
| ~ aNaturalNumber0(X1)
| xp != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_269,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_270,plain,
( X1 = sz00
| sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_271,plain,
( doDivides0(esk3_1(X1),X1)
| X1 = sz00
| X1 = sz10
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_272,hypothesis,
sdtasdt0(xp,xm) != sdtasdt0(xp,xk),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_273,hypothesis,
sdtasdt0(xn,xm) != sdtasdt0(xp,xm),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_274,hypothesis,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_275,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_276,hypothesis,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(split_conjunct,[status(thm)],[m__2306]),
[final] ).
cnf(i_0_277,plain,
( sdtlseqdt0(X2,X1)
| X1 != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_278,plain,
( doDivides0(esk4_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_279,hypothesis,
( X1 = sz10
| X1 = xr
| ~ doDivides0(X1,xr)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_280,hypothesis,
( X1 = sz10
| X1 = xp
| ~ doDivides0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_281,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,X1) != xm ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_282,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,X1) != xn ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_283,plain,
( aNaturalNumber0(esk3_1(X1))
| X1 = sz00
| X1 = sz10
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_284,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| esk3_1(X1) != X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_285,plain,
( sdtlseqdt0(sz10,X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_286,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xr,esk14_0),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_287,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,esk9_0),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_288,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(split_conjunct,[status(thm)],[m__2306]),
[final] ).
cnf(i_0_289,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| esk3_1(X1) != sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_290,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_291,plain,
( isPrime0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_292,plain,
( aNaturalNumber0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_293,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_294,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_295,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_296,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_297,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_298,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_299,hypothesis,
~ sdtlseqdt0(xp,xm),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_300,hypothesis,
~ sdtlseqdt0(xp,xn),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_301,plain,
( X1 != sz10
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_302,plain,
( X1 != sz00
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_303,hypothesis,
doDivides0(xr,xk),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_304,hypothesis,
sdtlseqdt0(xp,xk),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_305,hypothesis,
sdtlseqdt0(xm,xp),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_306,hypothesis,
sdtlseqdt0(xn,xp),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_307,hypothesis,
sdtpldt0(xr,esk13_0) = xk,
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_308,hypothesis,
sdtpldt0(xp,esk15_0) = xk,
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_309,hypothesis,
sdtpldt0(xm,esk11_0) = xp,
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_310,hypothesis,
sdtpldt0(xn,esk10_0) = xp,
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_311,hypothesis,
xk = sdtasdt0(xr,esk12_0),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_312,hypothesis,
isPrime0(xr),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_313,hypothesis,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_314,hypothesis,
aNaturalNumber0(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_315,hypothesis,
aNaturalNumber0(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_316,hypothesis,
aNaturalNumber0(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_317,hypothesis,
aNaturalNumber0(esk14_0),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_318,hypothesis,
aNaturalNumber0(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_319,hypothesis,
aNaturalNumber0(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_320,hypothesis,
aNaturalNumber0(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_321,hypothesis,
aNaturalNumber0(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_322,hypothesis,
aNaturalNumber0(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_323,hypothesis,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_324,hypothesis,
aNaturalNumber0(xk),
inference(split_conjunct,[status(thm)],[m__2306]),
[final] ).
cnf(i_0_325,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_326,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_327,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_328,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_329,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]),
[final] ).
cnf(i_0_330,hypothesis,
xr != sz10,
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_331,hypothesis,
xr != sz00,
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_332,hypothesis,
xk != sz10,
inference(split_conjunct,[status(thm)],[m__2327]),
[final] ).
cnf(i_0_333,hypothesis,
xk != sz10,
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_334,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[m__2327]),
[final] ).
cnf(i_0_335,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_336,hypothesis,
xm != xp,
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_337,hypothesis,
xn != xp,
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_338,hypothesis,
xp != sz10,
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_339,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_340,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_341,axiom,
X1 = X1 ).
cnf(i_0_342,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_343,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_344,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_345,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_346,axiom,
( X1 != X2
| esk3_1(X1) = esk3_1(X2) ) ).
cnf(i_0_347,axiom,
( X1 != X2
| esk5_3(X1,X3,X4) = esk5_3(X2,X3,X4) ) ).
cnf(i_0_348,axiom,
( X1 != X2
| esk5_3(X3,X1,X4) = esk5_3(X3,X2,X4) ) ).
cnf(i_0_349,axiom,
( X1 != X2
| esk5_3(X3,X4,X1) = esk5_3(X3,X4,X2) ) ).
cnf(i_0_350,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_351,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_352,axiom,
( X1 != X2
| sdtsldt0(X1,X3) = sdtsldt0(X2,X3) ) ).
cnf(i_0_353,axiom,
( X1 != X2
| sdtsldt0(X3,X1) = sdtsldt0(X3,X2) ) ).
cnf(i_0_354,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_355,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_356,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_357,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_358,axiom,
( X1 != X2
| ~ doDivides0(X1,X3)
| doDivides0(X2,X3) ) ).
cnf(i_0_359,axiom,
( X1 != X2
| ~ doDivides0(X3,X1)
| doDivides0(X3,X2) ) ).
cnf(i_0_360,axiom,
( X1 != X2
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X2) ) ).
cnf(i_0_361,axiom,
( X1 != X2
| ~ isPrime0(X1)
| isPrime0(X2) ) ).
cnf(i_0_362,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_363,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_426,plain,
sdtlseqdt0(esk17_0,esk17_0),
inference(scs_inference,[],[i_0_314,i_0_290]) ).
cnf(i_0_428,plain,
sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
inference(scs_inference,[],[i_0_288,i_0_314,i_0_290,i_0_342]) ).
cnf(i_0_429,plain,
xm != xk,
inference(scs_inference,[],[i_0_288,i_0_272,i_0_314,i_0_290,i_0_342,i_0_345]) ).
cnf(i_0_430,plain,
sdtasdt0(xp,xm) != sdtasdt0(xn,xm),
inference(scs_inference,[],[i_0_288,i_0_272,i_0_314,i_0_290,i_0_342,i_0_345,i_0_343]) ).
cnf(i_0_431,plain,
aNaturalNumber0(sdtasdt0(xr,esk12_0)),
inference(scs_inference,[],[i_0_288,i_0_272,i_0_314,i_0_324,i_0_311,i_0_290,i_0_342,i_0_345,i_0_343,i_0_360]) ).
cnf(i_0_432,plain,
~ sdtlseqdt0(sdtpldt0(xm,esk11_0),xm),
inference(scs_inference,[],[i_0_288,i_0_272,i_0_299,i_0_314,i_0_324,i_0_309,i_0_311,i_0_290,i_0_342,i_0_345,i_0_343,i_0_360,i_0_362]) ).
cnf(i_0_433,plain,
xk != xm,
inference(scs_inference,[],[i_0_288,i_0_272,i_0_299,i_0_304,i_0_314,i_0_324,i_0_309,i_0_311,i_0_290,i_0_342,i_0_345,i_0_343,i_0_360,i_0_362,i_0_363]) ).
cnf(i_0_434,plain,
sdtlseqdt0(sdtasdt0(xr,esk12_0),xk),
inference(scs_inference,[],[i_0_288,i_0_272,i_0_299,i_0_304,i_0_314,i_0_324,i_0_309,i_0_311,i_0_290,i_0_342,i_0_345,i_0_343,i_0_360,i_0_362,i_0_363,i_0_277]) ).
cnf(i_0_436,plain,
doDivides0(esk4_1(xk),xk),
inference(scs_inference,[],[i_0_333,i_0_335,i_0_288,i_0_272,i_0_299,i_0_304,i_0_314,i_0_324,i_0_309,i_0_311,i_0_290,i_0_342,i_0_345,i_0_343,i_0_360,i_0_362,i_0_363,i_0_277,i_0_278]) ).
cnf(i_0_438,plain,
sdtlseqdt0(sz10,xk),
inference(scs_inference,[],[i_0_333,i_0_335,i_0_288,i_0_272,i_0_299,i_0_304,i_0_314,i_0_324,i_0_309,i_0_311,i_0_290,i_0_342,i_0_345,i_0_343,i_0_360,i_0_362,i_0_363,i_0_277,i_0_278,i_0_285]) ).
cnf(i_0_719,plain,
sdtlseqdt0(esk11_0,esk11_0),
inference(scs_inference,[],[i_0_320,i_0_290]) ).
cnf(i_0_736,plain,
sdtlseqdt0(xm,xm),
inference(scs_inference,[],[i_0_326,i_0_290]) ).
cnf(i_0_777,plain,
sdtlseqdt0(xn,xn),
inference(scs_inference,[],[i_0_327,i_0_290]) ).
cnf(i_0_846,plain,
sdtlseqdt0(esk15_0,esk15_0),
inference(scs_inference,[],[i_0_316,i_0_290]) ).
cnf(i_0_873,plain,
sdtlseqdt0(esk13_0,esk13_0),
inference(scs_inference,[],[i_0_318,i_0_290]) ).
cnf(i_0_908,plain,
sdtlseqdt0(esk12_0,esk12_0),
inference(scs_inference,[],[i_0_319,i_0_290]) ).
cnf(i_0_957,plain,
sdtlseqdt0(esk10_0,esk10_0),
inference(scs_inference,[],[i_0_321,i_0_290]) ).
cnf(i_0_986,plain,
sdtlseqdt0(xk,xk),
inference(scs_inference,[],[i_0_324,i_0_290]) ).
cnf(i_0_1011,plain,
sdtlseqdt0(xp,xp),
inference(scs_inference,[],[i_0_325,i_0_290]) ).
cnf(i_0_1463,plain,
sdtlseqdt0(esk14_0,esk14_0),
inference(scs_inference,[],[i_0_317,i_0_290]) ).
cnf(i_0_1524,plain,
sdtlseqdt0(sz00,sz00),
inference(scs_inference,[],[i_0_329,i_0_290]) ).
cnf(i_0_1762,plain,
sdtlseqdt0(esk16_0,esk16_0),
inference(scs_inference,[],[i_0_315,i_0_290]) ).
cnf(i_0_1842,plain,
sdtlseqdt0(sz10,sz10),
inference(scs_inference,[],[i_0_328,i_0_290]) ).
cnf(i_0_1914,plain,
sdtlseqdt0(xr,xr),
inference(scs_inference,[],[i_0_323,i_0_290]) ).
cnf(i_0_424,plain,
~ isPrime0(sz10),
inference(scs_inference,[],[i_0_328,i_0_422]) ).
cnf(i_0_425,plain,
~ isPrime0(sz00),
inference(scs_inference,[],[i_0_329,i_0_423]) ).
cnf(i_0_440,plain,
sdtpldt0(esk17_0,sdtmndt0(esk17_0,esk17_0)) = esk17_0,
inference(scs_inference,[],[i_0_333,i_0_335,i_0_288,i_0_272,i_0_299,i_0_304,i_0_314,i_0_324,i_0_309,i_0_311,i_0_290,i_0_342,i_0_345,i_0_343,i_0_360,i_0_362,i_0_363,i_0_277,i_0_278,i_0_285,i_0_412]) ).
cnf(i_0_442,plain,
aNaturalNumber0(sdtmndt0(esk17_0,esk17_0)),
inference(scs_inference,[],[i_0_333,i_0_335,i_0_288,i_0_272,i_0_299,i_0_304,i_0_314,i_0_324,i_0_309,i_0_311,i_0_290,i_0_342,i_0_345,i_0_343,i_0_360,i_0_362,i_0_363,i_0_277,i_0_278,i_0_285,i_0_412,i_0_418]) ).
cnf(i_0_444,plain,
sdtlseqdt0(xr,xk),
inference(scs_inference,[],[i_0_333,i_0_335,i_0_288,i_0_272,i_0_299,i_0_304,i_0_314,i_0_318,i_0_323,i_0_324,i_0_307,i_0_309,i_0_311,i_0_290,i_0_342,i_0_345,i_0_343,i_0_360,i_0_362,i_0_363,i_0_277,i_0_278,i_0_285,i_0_412,i_0_418,i_0_251]) ).
cnf(i_0_446,plain,
esk13_0 = sdtmndt0(xk,xr),
inference(scs_inference,[],[i_0_333,i_0_335,i_0_288,i_0_272,i_0_299,i_0_304,i_0_314,i_0_318,i_0_323,i_0_324,i_0_307,i_0_309,i_0_311,i_0_290,i_0_342,i_0_345,i_0_343,i_0_360,i_0_362,i_0_363,i_0_277,i_0_278,i_0_285,i_0_412,i_0_418,i_0_251,i_0_235]) ).
cnf(i_0_448,plain,
xp != xn,
inference(scs_inference,[],[i_0_333,i_0_335,i_0_288,i_0_272,i_0_299,i_0_304,i_0_314,i_0_318,i_0_323,i_0_324,i_0_307,i_0_309,i_0_311,i_0_290,i_0_342,i_0_345,i_0_343,i_0_360,i_0_362,i_0_363,i_0_277,i_0_278,i_0_285,i_0_412,i_0_418,i_0_251,i_0_235,i_0_344]) ).
cnf(i_0_938,plain,
sdtlseqdt0(sdtasdt0(xr,esk12_0),sdtasdt0(xr,esk12_0)),
inference(scs_inference,[],[i_0_431,i_0_290]) ).
cnf(i_0_453,plain,
isPrime0(xr),
inference(equality_inference,[],[449]) ).
cnf(i_0_454,plain,
sdtlseqdt0(sdtmndt0(esk17_0,esk17_0),sdtmndt0(esk17_0,esk17_0)),
inference(scs_inference,[],[i_0_442,i_0_290]) ).
cnf(i_0_456,plain,
sdtasdt0(xr,esk12_0) = xk,
inference(scs_inference,[],[i_0_311,i_0_442,i_0_290,i_0_342]) ).
cnf(i_0_457,plain,
sdtpldt0(xp,esk15_0) = sdtasdt0(xr,esk12_0),
inference(scs_inference,[],[i_0_311,i_0_442,i_0_308,i_0_290,i_0_342,i_0_343]) ).
cnf(i_0_458,plain,
aNaturalNumber0(sdtmndt0(xk,xr)),
inference(scs_inference,[],[i_0_311,i_0_442,i_0_446,i_0_308,i_0_318,i_0_290,i_0_342,i_0_343,i_0_360]) ).
cnf(i_0_459,plain,
~ sdtlseqdt0(sdtpldt0(xn,esk10_0),xn),
inference(scs_inference,[],[i_0_300,i_0_311,i_0_442,i_0_446,i_0_308,i_0_310,i_0_318,i_0_290,i_0_342,i_0_343,i_0_360,i_0_362]) ).
cnf(i_0_460,plain,
xk != xn,
inference(scs_inference,[],[i_0_300,i_0_311,i_0_442,i_0_446,i_0_308,i_0_310,i_0_304,i_0_318,i_0_290,i_0_342,i_0_343,i_0_360,i_0_362,i_0_363]) ).
cnf(i_0_461,plain,
sdtlseqdt0(sdtmndt0(xk,xr),esk13_0),
inference(scs_inference,[],[i_0_300,i_0_311,i_0_442,i_0_446,i_0_308,i_0_310,i_0_304,i_0_318,i_0_290,i_0_342,i_0_343,i_0_360,i_0_362,i_0_363,i_0_277]) ).
cnf(i_0_463,plain,
doDivides0(esk4_1(xr),xr),
inference(scs_inference,[],[i_0_300,i_0_311,i_0_442,i_0_446,i_0_331,i_0_308,i_0_310,i_0_304,i_0_330,i_0_318,i_0_323,i_0_290,i_0_342,i_0_343,i_0_360,i_0_362,i_0_363,i_0_277,i_0_278]) ).
cnf(i_0_465,plain,
sdtlseqdt0(sz10,xr),
inference(scs_inference,[],[i_0_300,i_0_311,i_0_442,i_0_446,i_0_331,i_0_308,i_0_310,i_0_304,i_0_330,i_0_318,i_0_323,i_0_290,i_0_342,i_0_343,i_0_360,i_0_362,i_0_363,i_0_277,i_0_278,i_0_285]) ).
cnf(i_0_469,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(esk17_0,esk17_0),sdtmndt0(esk17_0,esk17_0))),
inference(scs_inference,[],[i_0_300,i_0_311,i_0_442,i_0_446,i_0_331,i_0_308,i_0_310,i_0_304,i_0_330,i_0_318,i_0_323,i_0_290,i_0_342,i_0_343,i_0_360,i_0_362,i_0_363,i_0_277,i_0_278,i_0_285,i_0_412,i_0_418]) ).
cnf(i_0_473,plain,
sdtlseqdt0(xp,sdtasdt0(xr,esk12_0)),
inference(scs_inference,[],[i_0_300,i_0_311,i_0_314,i_0_426,i_0_442,i_0_431,i_0_446,i_0_316,i_0_331,i_0_308,i_0_310,i_0_304,i_0_325,i_0_330,i_0_318,i_0_323,i_0_290,i_0_342,i_0_343,i_0_360,i_0_362,i_0_363,i_0_277,i_0_278,i_0_285,i_0_412,i_0_418,i_0_249,i_0_251]) ).
cnf(i_0_475,plain,
esk15_0 = sdtmndt0(xk,xp),
inference(scs_inference,[],[i_0_300,i_0_311,i_0_314,i_0_426,i_0_442,i_0_431,i_0_446,i_0_316,i_0_331,i_0_308,i_0_310,i_0_304,i_0_325,i_0_330,i_0_318,i_0_323,i_0_324,i_0_290,i_0_342,i_0_343,i_0_360,i_0_362,i_0_363,i_0_277,i_0_278,i_0_285,i_0_412,i_0_418,i_0_249,i_0_251,i_0_235]) ).
cnf(i_0_477,plain,
esk12_0 = sdtsldt0(xk,xr),
inference(scs_inference,[],[i_0_300,i_0_311,i_0_314,i_0_426,i_0_442,i_0_431,i_0_446,i_0_316,i_0_319,i_0_331,i_0_308,i_0_310,i_0_303,i_0_304,i_0_325,i_0_330,i_0_318,i_0_323,i_0_324,i_0_290,i_0_342,i_0_343,i_0_360,i_0_362,i_0_363,i_0_277,i_0_278,i_0_285,i_0_412,i_0_418,i_0_249,i_0_251,i_0_235,i_0_234]) ).
cnf(i_0_486,plain,
sdtmndt0(xk,xr) = esk13_0,
inference(scs_inference,[],[i_0_446,i_0_469,i_0_290,i_0_342]) ).
cnf(i_0_487,plain,
xm != sdtasdt0(xr,esk12_0),
inference(scs_inference,[],[i_0_446,i_0_469,i_0_429,i_0_456,i_0_290,i_0_342,i_0_343]) ).
cnf(i_0_488,plain,
~ sdtlseqdt0(sdtpldt0(xm,esk11_0),xn),
inference(scs_inference,[],[i_0_300,i_0_446,i_0_469,i_0_429,i_0_456,i_0_309,i_0_290,i_0_342,i_0_343,i_0_362]) ).
cnf(i_0_489,plain,
sdtasdt0(xr,esk12_0) != xm,
inference(scs_inference,[],[i_0_299,i_0_300,i_0_446,i_0_469,i_0_429,i_0_456,i_0_473,i_0_309,i_0_290,i_0_342,i_0_343,i_0_362,i_0_363]) ).
cnf(i_0_490,plain,
aNaturalNumber0(sdtsldt0(xk,xr)),
inference(scs_inference,[],[i_0_299,i_0_300,i_0_446,i_0_469,i_0_429,i_0_456,i_0_473,i_0_477,i_0_319,i_0_309,i_0_290,i_0_342,i_0_343,i_0_362,i_0_363,i_0_360]) ).
cnf(i_0_491,plain,
doDivides0(esk4_1(xp),xp),
inference(scs_inference,[],[i_0_299,i_0_300,i_0_446,i_0_469,i_0_338,i_0_429,i_0_456,i_0_473,i_0_477,i_0_339,i_0_319,i_0_309,i_0_325,i_0_290,i_0_342,i_0_343,i_0_362,i_0_363,i_0_360,i_0_278]) ).
cnf(i_0_493,plain,
sdtlseqdt0(sz10,xp),
inference(scs_inference,[],[i_0_299,i_0_300,i_0_446,i_0_469,i_0_338,i_0_429,i_0_456,i_0_473,i_0_477,i_0_339,i_0_319,i_0_309,i_0_325,i_0_290,i_0_342,i_0_343,i_0_362,i_0_363,i_0_360,i_0_278,i_0_285]) ).
cnf(i_0_497,plain,
esk15_0 = sdtmndt0(sdtasdt0(xr,esk12_0),xp),
inference(scs_inference,[],[i_0_299,i_0_300,i_0_442,i_0_446,i_0_471,i_0_469,i_0_467,i_0_338,i_0_429,i_0_457,i_0_456,i_0_473,i_0_477,i_0_339,i_0_431,i_0_319,i_0_309,i_0_316,i_0_325,i_0_290,i_0_342,i_0_343,i_0_362,i_0_363,i_0_360,i_0_278,i_0_285,i_0_277,i_0_235]) ).
cnf(i_0_696,plain,
sdtlseqdt0(sdtmndt0(xk,xr),sdtmndt0(xk,xr)),
inference(scs_inference,[],[i_0_458,i_0_290]) ).
cnf(i_0_505,plain,
sdtlseqdt0(sdtsldt0(xk,xr),sdtsldt0(xk,xr)),
inference(scs_inference,[],[i_0_490,i_0_290]) ).
cnf(i_0_507,plain,
sdtmndt0(xk,xp) = esk15_0,
inference(scs_inference,[],[i_0_475,i_0_490,i_0_290,i_0_342]) ).
cnf(i_0_508,plain,
sdtasdt0(xr,esk12_0) != xn,
inference(scs_inference,[],[i_0_300,i_0_475,i_0_490,i_0_473,i_0_290,i_0_342,i_0_363]) ).
cnf(i_0_509,plain,
xm != sdtpldt0(xp,esk15_0),
inference(scs_inference,[],[i_0_300,i_0_475,i_0_457,i_0_490,i_0_487,i_0_473,i_0_290,i_0_342,i_0_363,i_0_343]) ).
cnf(i_0_510,plain,
~ sdtlseqdt0(sdtpldt0(xn,esk10_0),xm),
inference(scs_inference,[],[i_0_299,i_0_300,i_0_475,i_0_457,i_0_310,i_0_490,i_0_487,i_0_473,i_0_290,i_0_342,i_0_363,i_0_343,i_0_362]) ).
cnf(i_0_511,plain,
aNaturalNumber0(sdtmndt0(xk,xp)),
inference(scs_inference,[],[i_0_299,i_0_300,i_0_475,i_0_457,i_0_310,i_0_490,i_0_487,i_0_473,i_0_316,i_0_290,i_0_342,i_0_363,i_0_343,i_0_362,i_0_360]) ).
cnf(i_0_512,plain,
sdtlseqdt0(sdtmndt0(xk,xp),esk15_0),
inference(scs_inference,[],[i_0_299,i_0_300,i_0_475,i_0_457,i_0_310,i_0_490,i_0_487,i_0_473,i_0_316,i_0_290,i_0_342,i_0_363,i_0_343,i_0_362,i_0_360,i_0_277]) ).
cnf(i_0_514,plain,
sdtpldt0(sdtsldt0(xk,xr),sdtmndt0(sdtsldt0(xk,xr),sdtsldt0(xk,xr))) = sdtsldt0(xk,xr),
inference(scs_inference,[],[i_0_299,i_0_300,i_0_475,i_0_457,i_0_310,i_0_490,i_0_487,i_0_473,i_0_316,i_0_290,i_0_342,i_0_363,i_0_343,i_0_362,i_0_360,i_0_277,i_0_412]) ).
cnf(i_0_516,plain,
aNaturalNumber0(sdtmndt0(sdtsldt0(xk,xr),sdtsldt0(xk,xr))),
inference(scs_inference,[],[i_0_299,i_0_300,i_0_475,i_0_457,i_0_310,i_0_490,i_0_487,i_0_473,i_0_316,i_0_290,i_0_342,i_0_363,i_0_343,i_0_362,i_0_360,i_0_277,i_0_412,i_0_418]) ).
cnf(i_0_518,plain,
aNaturalNumber0(sdtpldt0(sdtsldt0(xk,xr),sdtmndt0(sdtsldt0(xk,xr),sdtsldt0(xk,xr)))),
inference(scs_inference,[],[i_0_299,i_0_300,i_0_331,i_0_475,i_0_457,i_0_310,i_0_490,i_0_487,i_0_303,i_0_473,i_0_316,i_0_323,i_0_324,i_0_290,i_0_342,i_0_363,i_0_343,i_0_362,i_0_360,i_0_277,i_0_412,i_0_418,i_0_248]) ).
cnf(i_0_520,plain,
esk10_0 = sdtmndt0(xp,xn),
inference(scs_inference,[],[i_0_299,i_0_300,i_0_331,i_0_475,i_0_457,i_0_310,i_0_306,i_0_490,i_0_487,i_0_321,i_0_303,i_0_473,i_0_316,i_0_327,i_0_325,i_0_323,i_0_324,i_0_290,i_0_342,i_0_363,i_0_343,i_0_362,i_0_360,i_0_277,i_0_412,i_0_418,i_0_248,i_0_235]) ).
cnf(i_0_533,plain,
sdtlseqdt0(sdtmndt0(sdtsldt0(xk,xr),sdtsldt0(xk,xr)),sdtmndt0(sdtsldt0(xk,xr),sdtsldt0(xk,xr))),
inference(scs_inference,[],[i_0_516,i_0_290]) ).
cnf(i_0_536,plain,
sdtmndt0(xk,xp) = sdtmndt0(sdtasdt0(xr,esk12_0),xp),
inference(scs_inference,[],[i_0_467,i_0_497,i_0_516,i_0_507,i_0_290,i_0_342,i_0_343]) ).
cnf(i_0_537,plain,
aNaturalNumber0(sdtmndt0(xp,xn)),
inference(scs_inference,[],[i_0_467,i_0_497,i_0_516,i_0_507,i_0_520,i_0_321,i_0_290,i_0_342,i_0_343,i_0_360]) ).
cnf(i_0_538,plain,
sdtlseqdt0(sdtsldt0(xk,xr),esk12_0),
inference(scs_inference,[],[i_0_467,i_0_497,i_0_477,i_0_490,i_0_516,i_0_507,i_0_520,i_0_321,i_0_319,i_0_290,i_0_342,i_0_343,i_0_360,i_0_277]) ).
cnf(i_0_540,plain,
sdtpldt0(xp,sdtmndt0(xk,xp)) = sdtasdt0(xr,esk12_0),
inference(scs_inference,[],[i_0_467,i_0_497,i_0_477,i_0_490,i_0_516,i_0_507,i_0_520,i_0_321,i_0_431,i_0_319,i_0_473,i_0_325,i_0_290,i_0_342,i_0_343,i_0_360,i_0_277,i_0_241]) ).
cnf(i_0_542,plain,
esk11_0 = sdtmndt0(xp,xm),
inference(scs_inference,[],[i_0_467,i_0_497,i_0_309,i_0_477,i_0_490,i_0_305,i_0_516,i_0_507,i_0_520,i_0_320,i_0_321,i_0_431,i_0_319,i_0_473,i_0_326,i_0_325,i_0_290,i_0_342,i_0_343,i_0_360,i_0_277,i_0_241,i_0_235]) ).
cnf(i_0_698,plain,
sdtmndt0(xp,xn) = esk10_0,
inference(scs_inference,[],[i_0_520,i_0_458,i_0_290,i_0_342]) ).
cnf(i_0_824,plain,
sdtlseqdt0(sdtmndt0(xk,xp),sdtmndt0(xk,xp)),
inference(scs_inference,[],[i_0_511,i_0_290]) ).
cnf(i_0_826,plain,
sdtsldt0(xk,xr) = esk12_0,
inference(scs_inference,[],[i_0_477,i_0_511,i_0_290,i_0_342]) ).
cnf(i_0_548,plain,
~ sdtlseqdt0(sdtpldt0(xm,esk11_0),xn),
inference(equality_inference,[],[544]) ).
cnf(i_0_549,plain,
sdtlseqdt0(sdtmndt0(xp,xn),sdtmndt0(xp,xn)),
inference(scs_inference,[],[i_0_537,i_0_290]) ).
cnf(i_0_551,plain,
esk17_0 = sdtpldt0(esk17_0,sdtmndt0(esk17_0,esk17_0)),
inference(scs_inference,[],[i_0_440,i_0_537,i_0_290,i_0_342]) ).
cnf(i_0_552,plain,
xm != sdtpldt0(xr,esk13_0),
inference(scs_inference,[],[i_0_440,i_0_307,i_0_537,i_0_429,i_0_290,i_0_342,i_0_343]) ).
cnf(i_0_553,plain,
aNaturalNumber0(sdtpldt0(esk17_0,sdtmndt0(esk17_0,esk17_0))),
inference(scs_inference,[],[i_0_314,i_0_440,i_0_307,i_0_537,i_0_429,i_0_290,i_0_342,i_0_343,i_0_360]) ).
cnf(i_0_554,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(xp,xn),sdtmndt0(xp,xn))),
inference(scs_inference,[],[i_0_314,i_0_440,i_0_307,i_0_537,i_0_429,i_0_290,i_0_342,i_0_343,i_0_360,i_0_418]) ).
cnf(i_0_556,plain,
sdtlseqdt0(esk17_0,sdtpldt0(esk17_0,sdtmndt0(esk17_0,esk17_0))),
inference(scs_inference,[],[i_0_314,i_0_440,i_0_307,i_0_537,i_0_429,i_0_290,i_0_342,i_0_343,i_0_360,i_0_418,i_0_277]) ).
cnf(i_0_558,plain,
sdtpldt0(sdtmndt0(xp,xn),sdtmndt0(sdtmndt0(xp,xn),sdtmndt0(xp,xn))) = sdtmndt0(xp,xn),
inference(scs_inference,[],[i_0_314,i_0_440,i_0_307,i_0_537,i_0_429,i_0_290,i_0_342,i_0_343,i_0_360,i_0_418,i_0_277,i_0_412]) ).
cnf(i_0_560,plain,
sdtmndt0(esk17_0,esk17_0) = sdtmndt0(sdtpldt0(esk17_0,sdtmndt0(esk17_0,esk17_0)),esk17_0),
inference(scs_inference,[],[i_0_314,i_0_442,i_0_440,i_0_307,i_0_537,i_0_429,i_0_290,i_0_342,i_0_343,i_0_360,i_0_418,i_0_277,i_0_412,i_0_410]) ).
cnf(i_0_562,plain,
aNaturalNumber0(sdtpldt0(sdtmndt0(xp,xn),sdtmndt0(sdtmndt0(xp,xn),sdtmndt0(xp,xn)))),
inference(scs_inference,[],[i_0_314,i_0_442,i_0_440,i_0_307,i_0_537,i_0_306,i_0_429,i_0_327,i_0_325,i_0_290,i_0_342,i_0_343,i_0_360,i_0_418,i_0_277,i_0_412,i_0_410,i_0_249]) ).
cnf(i_0_721,plain,
sdtasdt0(xr,esk12_0) = sdtpldt0(xp,sdtmndt0(xk,xp)),
inference(scs_inference,[],[i_0_540,i_0_320,i_0_290,i_0_342]) ).
cnf(i_0_738,plain,
sdtmndt0(xp,xm) = esk11_0,
inference(scs_inference,[],[i_0_542,i_0_326,i_0_290,i_0_342]) ).
cnf(i_0_570,plain,
~ sdtlseqdt0(sdtpldt0(xn,esk10_0),xm),
inference(equality_inference,[],[564]) ).
cnf(i_0_571,plain,
sdtlseqdt0(sdtpldt0(esk17_0,sdtmndt0(esk17_0,esk17_0)),sdtpldt0(esk17_0,sdtmndt0(esk17_0,esk17_0))),
inference(scs_inference,[],[i_0_553,i_0_290]) ).
cnf(i_0_573,plain,
xk = sdtpldt0(xp,esk15_0),
inference(scs_inference,[],[i_0_308,i_0_553,i_0_290,i_0_342]) ).
cnf(i_0_574,plain,
xn != sdtpldt0(xn,esk10_0),
inference(scs_inference,[],[i_0_308,i_0_310,i_0_337,i_0_553,i_0_290,i_0_342,i_0_343]) ).
cnf(i_0_575,plain,
aNaturalNumber0(sdtmndt0(xp,xm)),
inference(scs_inference,[],[i_0_308,i_0_310,i_0_337,i_0_542,i_0_553,i_0_320,i_0_290,i_0_342,i_0_343,i_0_360]) ).
cnf(i_0_576,plain,
sdtlseqdt0(sdtsldt0(xk,xr),sdtpldt0(sdtsldt0(xk,xr),sdtmndt0(sdtsldt0(xk,xr),sdtsldt0(xk,xr)))),
inference(scs_inference,[],[i_0_490,i_0_308,i_0_310,i_0_514,i_0_337,i_0_542,i_0_553,i_0_518,i_0_320,i_0_290,i_0_342,i_0_343,i_0_360,i_0_277]) ).
cnf(i_0_779,plain,
sdtmndt0(xp,xn) = sdtpldt0(sdtmndt0(xp,xn),sdtmndt0(sdtmndt0(xp,xn),sdtmndt0(xp,xn))),
inference(scs_inference,[],[i_0_558,i_0_327,i_0_290,i_0_342]) ).
cnf(i_0_1566,plain,
sdtlseqdt0(sdtmndt0(sdtmndt0(xp,xn),sdtmndt0(xp,xn)),sdtmndt0(sdtmndt0(xp,xn),sdtmndt0(xp,xn))),
inference(scs_inference,[],[i_0_554,i_0_290]) ).
cnf(i_0_582,plain,
~ sdtlseqdt0(sdtpldt0(xm,esk11_0),xm),
inference(equality_inference,[],[578]) ).
cnf(i_0_583,plain,
sdtlseqdt0(sdtmndt0(xp,xm),sdtmndt0(xp,xm)),
inference(scs_inference,[],[i_0_575,i_0_290]) ).
cnf(i_0_585,plain,
sdtasdt0(xr,esk12_0) = sdtpldt0(xp,esk15_0),
inference(scs_inference,[],[i_0_457,i_0_575,i_0_290,i_0_342]) ).
cnf(i_0_586,plain,
xn != sdtpldt0(xm,esk11_0),
inference(scs_inference,[],[i_0_457,i_0_309,i_0_337,i_0_575,i_0_290,i_0_342,i_0_343]) ).
cnf(i_0_587,plain,
aNaturalNumber0(sdtmndt0(sdtpldt0(esk17_0,sdtmndt0(esk17_0,esk17_0)),esk17_0)),
inference(scs_inference,[],[i_0_442,i_0_457,i_0_309,i_0_337,i_0_560,i_0_575,i_0_290,i_0_342,i_0_343,i_0_360]) ).
cnf(i_0_588,plain,
sdtpldt0(sdtmndt0(xp,xm),sdtmndt0(sdtmndt0(xp,xm),sdtmndt0(xp,xm))) = sdtmndt0(xp,xm),
inference(scs_inference,[],[i_0_442,i_0_457,i_0_309,i_0_337,i_0_560,i_0_575,i_0_290,i_0_342,i_0_343,i_0_360,i_0_412]) ).
cnf(i_0_590,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(xp,xm),sdtmndt0(xp,xm))),
inference(scs_inference,[],[i_0_442,i_0_457,i_0_309,i_0_337,i_0_560,i_0_575,i_0_290,i_0_342,i_0_343,i_0_360,i_0_412,i_0_418]) ).
cnf(i_0_592,plain,
sdtlseqdt0(sdtmndt0(xp,xn),esk10_0),
inference(scs_inference,[],[i_0_442,i_0_457,i_0_309,i_0_537,i_0_520,i_0_337,i_0_560,i_0_575,i_0_321,i_0_290,i_0_342,i_0_343,i_0_360,i_0_412,i_0_418,i_0_277]) ).
cnf(i_0_594,plain,
aNaturalNumber0(sdtpldt0(sdtmndt0(xp,xm),sdtmndt0(sdtmndt0(xp,xm),sdtmndt0(xp,xm)))),
inference(scs_inference,[],[i_0_442,i_0_457,i_0_309,i_0_537,i_0_520,i_0_337,i_0_560,i_0_575,i_0_305,i_0_321,i_0_326,i_0_325,i_0_290,i_0_342,i_0_343,i_0_360,i_0_412,i_0_418,i_0_277,i_0_249]) ).
cnf(i_0_602,plain,
~ sdtlseqdt0(sdtpldt0(xn,esk10_0),xn),
inference(equality_inference,[],[596]) ).
cnf(i_0_603,plain,
sdtlseqdt0(sdtmndt0(sdtmndt0(xp,xm),sdtmndt0(xp,xm)),sdtmndt0(sdtmndt0(xp,xm),sdtmndt0(xp,xm))),
inference(scs_inference,[],[i_0_590,i_0_290]) ).
cnf(i_0_605,plain,
xk = sdtpldt0(xr,esk13_0),
inference(scs_inference,[],[i_0_307,i_0_590,i_0_290,i_0_342]) ).
cnf(i_0_606,plain,
xm != sdtpldt0(xp,sdtmndt0(xk,xp)),
inference(scs_inference,[],[i_0_307,i_0_540,i_0_590,i_0_487,i_0_290,i_0_342,i_0_343]) ).
cnf(i_0_607,plain,
aNaturalNumber0(sdtmndt0(sdtasdt0(xr,esk12_0),xp)),
inference(scs_inference,[],[i_0_307,i_0_540,i_0_536,i_0_590,i_0_487,i_0_511,i_0_290,i_0_342,i_0_343,i_0_360]) ).
cnf(i_0_608,plain,
sdtlseqdt0(sdtmndt0(sdtasdt0(xr,esk12_0),xp),esk15_0),
inference(scs_inference,[],[i_0_307,i_0_497,i_0_540,i_0_536,i_0_590,i_0_487,i_0_511,i_0_316,i_0_290,i_0_342,i_0_343,i_0_360,i_0_277]) ).
cnf(i_0_614,plain,
~ sdtlseqdt0(sdtpldt0(xn,esk10_0),xm),
inference(equality_inference,[],[610]) ).
cnf(i_0_615,plain,
sdtlseqdt0(sdtmndt0(sdtasdt0(xr,esk12_0),xp),sdtmndt0(sdtasdt0(xr,esk12_0),xp)),
inference(scs_inference,[],[i_0_607,i_0_290]) ).
cnf(i_0_617,plain,
xp = sdtpldt0(xn,esk10_0),
inference(scs_inference,[],[i_0_310,i_0_607,i_0_290,i_0_342]) ).
cnf(i_0_618,plain,
sdtasdt0(xp,xk) = sdtasdt0(xp,esk9_0),
inference(scs_inference,[],[i_0_310,i_0_607,i_0_428,i_0_287,i_0_290,i_0_342,i_0_343]) ).
cnf(i_0_619,plain,
aNaturalNumber0(sdtpldt0(xp,esk15_0)),
inference(scs_inference,[],[i_0_310,i_0_607,i_0_585,i_0_428,i_0_287,i_0_431,i_0_290,i_0_342,i_0_343,i_0_360]) ).
cnf(i_0_620,plain,
sdtlseqdt0(xk,sdtpldt0(xp,esk15_0)),
inference(scs_inference,[],[i_0_308,i_0_310,i_0_607,i_0_585,i_0_428,i_0_287,i_0_431,i_0_324,i_0_290,i_0_342,i_0_343,i_0_360,i_0_277]) ).
cnf(i_0_622,plain,
doDivides0(xr,sdtpldt0(xp,esk15_0)),
inference(scs_inference,[],[i_0_308,i_0_457,i_0_310,i_0_607,i_0_585,i_0_428,i_0_287,i_0_431,i_0_319,i_0_324,i_0_323,i_0_290,i_0_342,i_0_343,i_0_360,i_0_277,i_0_252]) ).
cnf(i_0_624,plain,
xk = esk9_0,
inference(scs_inference,[],[i_0_339,i_0_308,i_0_457,i_0_310,i_0_607,i_0_585,i_0_428,i_0_287,i_0_322,i_0_431,i_0_319,i_0_324,i_0_325,i_0_323,i_0_290,i_0_342,i_0_343,i_0_360,i_0_277,i_0_252,i_0_243]) ).
cnf(i_0_626,plain,
esk12_0 = sdtsldt0(sdtpldt0(xp,esk15_0),xr),
inference(scs_inference,[],[i_0_331,i_0_339,i_0_308,i_0_457,i_0_310,i_0_607,i_0_585,i_0_428,i_0_287,i_0_322,i_0_431,i_0_319,i_0_324,i_0_325,i_0_323,i_0_290,i_0_342,i_0_343,i_0_360,i_0_277,i_0_252,i_0_243,i_0_234]) ).
cnf(i_0_634,plain,
~ sdtlseqdt0(sdtpldt0(xm,esk11_0),xn),
inference(equality_inference,[],[628]) ).
cnf(i_0_635,plain,
sdtlseqdt0(sdtpldt0(xp,esk15_0),sdtpldt0(xp,esk15_0)),
inference(scs_inference,[],[i_0_619,i_0_290]) ).
cnf(i_0_637,plain,
xp = sdtpldt0(xm,esk11_0),
inference(scs_inference,[],[i_0_309,i_0_619,i_0_290,i_0_342]) ).
cnf(i_0_638,plain,
sdtpldt0(sdtasdt0(xp,xm),esk17_0) = sdtasdt0(xp,esk9_0),
inference(scs_inference,[],[i_0_309,i_0_619,i_0_618,i_0_261,i_0_290,i_0_342,i_0_343]) ).
cnf(i_0_639,plain,
aNaturalNumber0(sdtpldt0(xn,esk10_0)),
inference(scs_inference,[],[i_0_309,i_0_619,i_0_618,i_0_617,i_0_261,i_0_325,i_0_290,i_0_342,i_0_343,i_0_360]) ).
cnf(c_0_338,hypothesis,
sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)),
i_0_254 ).
cnf(c_0_339,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
i_0_288 ).
cnf(c_0_340,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_259 ).
cnf(c_0_341,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xr,esk14_0),
i_0_286 ).
cnf(c_0_342,hypothesis,
aNaturalNumber0(esk14_0),
i_0_317 ).
cnf(c_0_343,hypothesis,
aNaturalNumber0(xr),
i_0_323 ).
cnf(c_0_344,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
i_0_250 ).
cnf(c_0_345,hypothesis,
sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)),
inference(rw,[status(thm)],[c_0_338,c_0_339]) ).
cnf(c_0_346,hypothesis,
sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
i_0_255 ).
cnf(c_0_347,hypothesis,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_341]),c_0_342]),c_0_343])]) ).
cnf(c_0_348,hypothesis,
sdtasdt0(xn,xm) != sdtasdt0(xp,xm),
i_0_273 ).
cnf(c_0_349,plain,
~ aNaturalNumber0(sdtasdt0(xp,xm)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_345]),c_0_346]),c_0_347])]),c_0_348]) ).
cnf(c_0_350,hypothesis,
aNaturalNumber0(xm),
i_0_326 ).
cnf(c_0_351,hypothesis,
aNaturalNumber0(xp),
i_0_325 ).
cnf(c_0_352,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_340]),c_0_350]),c_0_351])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM504+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n031.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 00:41:53 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 41.59/40.24 % Version : CSE_E---1.7
% 41.59/40.24 % Problem : theBenchmark.p
% 41.59/40.24 % SZS status Theorem for theBenchmark.p
% 41.59/40.24 % SZS output start CNFRefutation
% See solution above
% 48.99/47.69 % Total time : 39.892s
%------------------------------------------------------------------------------