%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM506+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 : n011.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 04:57:36 PM UTC 2026
% Result : Theorem 161.73s 78.68s
% Output : CNFRefutation 168.83s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_439)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xr,X1) )
| doDivides0(xr,xn)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xr,X1) )
| doDivides0(xr,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
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(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__2377,hypothesis,
( xk != xp
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xk,X1) = xp )
& sdtlseqdt0(xk,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2377) ).
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,negated_conjecture,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xr,X1) )
| doDivides0(xr,xn)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xr,X1) )
| doDivides0(xr,xm) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(i_0_50,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_51,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_52,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_53,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_54,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_55,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_56,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_57,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_58,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_59,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_60,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_61,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_62,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_63,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_64,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_65,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_66,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_67,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_68,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_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,negated_conjecture,
! [X214,X215] :
( ( ~ aNaturalNumber0(X214)
| xn != sdtasdt0(xr,X214) )
& ~ doDivides0(xr,xn)
& ( ~ aNaturalNumber0(X215)
| xm != sdtasdt0(xr,X215) )
& ~ doDivides0(xr,xm) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_49])])]) ).
fof(i_0_86,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_87,plain,
! [X148] :
( ~ aNaturalNumber0(X148)
| sdtlseqdt0(X148,X148) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERefl])]) ).
fof(i_0_88,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_89,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_90,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_91,hypothesis,
( xk != xp
& aNaturalNumber0(esk15_0)
& sdtpldt0(xk,esk15_0) = xp
& sdtlseqdt0(xk,xp) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2377])]) ).
fof(i_0_92,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_93,hypothesis,
( xk != sz00
& xk != sz10 ),
inference(fof_nnf,[status(thm)],[m__2315]) ).
cnf(i_0_94,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_50]),
[final] ).
cnf(i_0_95,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_50]),
[final] ).
cnf(i_0_96,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_50]),
[final] ).
cnf(i_0_97,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_50]),
[final] ).
cnf(i_0_98,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_50]),
[final] ).
cnf(i_0_99,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_50]),
[final] ).
cnf(i_0_100,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_50]),
[final] ).
cnf(i_0_101,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_50]),
[final] ).
cnf(i_0_102,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_50]),
[final] ).
cnf(i_0_103,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_50]),
[final] ).
cnf(i_0_104,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_50]),
[final] ).
cnf(i_0_105,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_50]),
[final] ).
cnf(i_0_106,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_50]),
[final] ).
cnf(i_0_107,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_50]),
[final] ).
cnf(i_0_108,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_50]),
[final] ).
cnf(i_0_109,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_50]),
[final] ).
cnf(i_0_110,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_50]),
[final] ).
cnf(i_0_111,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_50]),
[final] ).
cnf(i_0_112,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_50]),
[final] ).
cnf(i_0_113,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_50]),
[final] ).
cnf(i_0_114,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_50]),
[final] ).
cnf(i_0_115,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_50]),
[final] ).
cnf(i_0_116,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_50]),
[final] ).
cnf(i_0_117,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_50]),
[final] ).
cnf(i_0_118,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_50]),
[final] ).
cnf(i_0_119,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_50]),
[final] ).
cnf(i_0_120,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_50]),
[final] ).
cnf(i_0_121,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_50]),
[final] ).
cnf(i_0_122,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_50]),
[final] ).
cnf(i_0_123,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_50]),
[final] ).
cnf(i_0_124,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_50]),
[final] ).
cnf(i_0_125,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_50]),
[final] ).
cnf(i_0_126,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_50]),
[final] ).
cnf(i_0_127,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_50]),
[final] ).
cnf(i_0_128,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_50]),
[final] ).
cnf(i_0_129,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_50]),
[final] ).
cnf(i_0_130,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_50]),
[final] ).
cnf(i_0_131,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_50]),
[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) != X2
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_133,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_50]),
[final] ).
cnf(i_0_134,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_50]),
[final] ).
cnf(i_0_135,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_50]),
[final] ).
cnf(i_0_136,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_50]),
[final] ).
cnf(i_0_137,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_50]),
[final] ).
cnf(i_0_138,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_50]),
[final] ).
cnf(i_0_139,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_50]),
[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) != X2
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_141,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_50]),
[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) != X3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_143,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_50]),
[final] ).
cnf(i_0_144,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_50]),
[final] ).
cnf(i_0_145,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_50]),
[final] ).
cnf(i_0_146,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_50]),
[final] ).
cnf(i_0_147,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_50]),
[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) != X3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_149,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_50]),
[final] ).
cnf(i_0_150,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_50]),
[final] ).
cnf(i_0_151,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_50]),
[final] ).
cnf(i_0_152,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_50]),
[final] ).
cnf(i_0_153,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_50]),
[final] ).
cnf(i_0_154,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_50]),
[final] ).
cnf(i_0_155,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_50]),
[final] ).
cnf(i_0_156,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_50]),
[final] ).
cnf(i_0_157,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_50]),
[final] ).
cnf(i_0_158,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_50]),
[final] ).
cnf(i_0_159,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_50]),
[final] ).
cnf(i_0_160,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_50]),
[final] ).
cnf(i_0_161,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_50]),
[final] ).
cnf(i_0_162,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_50]),
[final] ).
cnf(i_0_163,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_50]),
[final] ).
cnf(i_0_164,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_50]),
[final] ).
cnf(i_0_165,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_50]),
[final] ).
cnf(i_0_166,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_50]),
[final] ).
cnf(i_0_167,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_50]),
[final] ).
cnf(i_0_168,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_50]),
[final] ).
cnf(i_0_169,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_50]),
[final] ).
cnf(i_0_170,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_50]),
[final] ).
cnf(i_0_171,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_50]),
[final] ).
cnf(i_0_172,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_50]),
[final] ).
cnf(i_0_173,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_50]),
[final] ).
cnf(i_0_174,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_50]),
[final] ).
cnf(i_0_175,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_50]),
[final] ).
cnf(i_0_176,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_50]),
[final] ).
cnf(i_0_177,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_50]),
[final] ).
cnf(i_0_178,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_50]),
[final] ).
cnf(i_0_179,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_50]),
[final] ).
cnf(i_0_180,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_50]),
[final] ).
cnf(i_0_181,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_50]),
[final] ).
cnf(i_0_182,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_50]),
[final] ).
cnf(i_0_183,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_50]),
[final] ).
cnf(i_0_184,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_50]),
[final] ).
cnf(i_0_185,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_50]),
[final] ).
cnf(i_0_186,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_50]),
[final] ).
cnf(i_0_187,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_50]),
[final] ).
cnf(i_0_188,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_50]),
[final] ).
cnf(i_0_189,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_50]),
[final] ).
cnf(i_0_190,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_50]),
[final] ).
cnf(i_0_191,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_50]),
[final] ).
cnf(i_0_192,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_50]),
[final] ).
cnf(i_0_193,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_50]),
[final] ).
cnf(i_0_194,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_50]),
[final] ).
cnf(i_0_195,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_50]),
[final] ).
cnf(i_0_196,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_50]),
[final] ).
cnf(i_0_197,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_50]),
[final] ).
cnf(i_0_198,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_50]),
[final] ).
cnf(i_0_199,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_50]),
[final] ).
cnf(i_0_200,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_50]),
[final] ).
cnf(i_0_201,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_50]),
[final] ).
cnf(i_0_202,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_50]),
[final] ).
cnf(i_0_203,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_50]),
[final] ).
cnf(i_0_204,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_50]),
[final] ).
cnf(i_0_205,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_50]),
[final] ).
cnf(i_0_206,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_50]),
[final] ).
cnf(i_0_207,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_50]),
[final] ).
cnf(i_0_208,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_50]),
[final] ).
cnf(i_0_209,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_50]),
[final] ).
cnf(i_0_210,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_50]),
[final] ).
cnf(i_0_211,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_50]),
[final] ).
cnf(i_0_212,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_50]),
[final] ).
cnf(i_0_213,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_50]),
[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) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[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))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| esk5_3(X3,X2,X1) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[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) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_217,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_50]),
[final] ).
cnf(i_0_218,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_50]),
[final] ).
cnf(i_0_219,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_50]),
[final] ).
cnf(i_0_220,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_51]),
[final] ).
cnf(i_0_221,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_51]),
[final] ).
cnf(i_0_222,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_52]),
[final] ).
cnf(i_0_223,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_53]),
[final] ).
cnf(i_0_224,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_54]),
[final] ).
cnf(i_0_225,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_54]),
[final] ).
cnf(i_0_226,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_55]),
[final] ).
cnf(i_0_227,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_55]),
[final] ).
cnf(i_0_228,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_56]),
[final] ).
cnf(i_0_229,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_230,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_231,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_54]),
[final] ).
cnf(i_0_232,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_54]),
[final] ).
cnf(i_0_233,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_55]),
[final] ).
cnf(i_0_234,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_55]),
[final] ).
cnf(i_0_235,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_59]),
[final] ).
cnf(i_0_236,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_60]),
[final] ).
cnf(i_0_237,plain,
( doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_238,plain,
( sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_239,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_240,plain,
( X1 = sdtasdt0(X2,esk2_2(X2,X1))
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_241,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_59]),
[final] ).
cnf(i_0_242,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_243,plain,
( X1 = X3
| X2 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_244,plain,
( X2 = X3
| X1 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_245,plain,
( X1 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_246,plain,
( X2 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_247,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_248,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_249,plain,
( aNaturalNumber0(X1)
| X3 = sz00
| X1 != sdtsldt0(X2,X3)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_250,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_251,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_252,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_253,plain,
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_254,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_255,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_256,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_257,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_258,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_259,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_260,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_261,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_262,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_263,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_264,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_265,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_266,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_267,plain,
( X1 = sz00
| sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_268,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_269,hypothesis,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_270,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_271,hypothesis,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(split_conjunct,[status(thm)],[m__2306]),
[final] ).
cnf(i_0_272,plain,
( sdtlseqdt0(X2,X1)
| X1 != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_273,plain,
( doDivides0(esk4_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_274,hypothesis,
( X1 = sz10
| X1 = xr
| ~ doDivides0(X1,xr)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_275,hypothesis,
( X1 = sz10
| X1 = xp
| ~ doDivides0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_276,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,X1) != xm ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_277,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,X1) != xn ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_278,negated_conjecture,
( ~ aNaturalNumber0(X1)
| xm != sdtasdt0(xr,X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_279,negated_conjecture,
( ~ aNaturalNumber0(X1)
| xn != sdtasdt0(xr,X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_280,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_281,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_282,plain,
( sdtlseqdt0(sz10,X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_283,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xr,esk14_0),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_284,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,esk9_0),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_285,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(split_conjunct,[status(thm)],[m__2306]),
[final] ).
cnf(i_0_286,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_287,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_288,plain,
( isPrime0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_289,plain,
( aNaturalNumber0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_290,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_291,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_292,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_293,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_294,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_295,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_296,negated_conjecture,
~ doDivides0(xr,xm),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_297,negated_conjecture,
~ doDivides0(xr,xn),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_298,hypothesis,
~ sdtlseqdt0(xp,xm),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_299,hypothesis,
~ sdtlseqdt0(xp,xn),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_300,plain,
( X1 != sz10
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_301,plain,
( X1 != sz00
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_302,hypothesis,
doDivides0(xr,xk),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_303,hypothesis,
sdtlseqdt0(xk,xp),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_304,hypothesis,
sdtlseqdt0(xm,xp),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_305,hypothesis,
sdtlseqdt0(xn,xp),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_306,hypothesis,
sdtpldt0(xr,esk13_0) = xk,
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_307,hypothesis,
sdtpldt0(xk,esk15_0) = xp,
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_308,hypothesis,
sdtpldt0(xm,esk11_0) = xp,
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_309,hypothesis,
sdtpldt0(xn,esk10_0) = xp,
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_310,hypothesis,
xk = sdtasdt0(xr,esk12_0),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_311,hypothesis,
isPrime0(xr),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_312,hypothesis,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_313,hypothesis,
aNaturalNumber0(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_314,hypothesis,
aNaturalNumber0(esk14_0),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_315,hypothesis,
aNaturalNumber0(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_316,hypothesis,
aNaturalNumber0(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_317,hypothesis,
aNaturalNumber0(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_318,hypothesis,
aNaturalNumber0(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_319,hypothesis,
aNaturalNumber0(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_320,hypothesis,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_321,hypothesis,
aNaturalNumber0(xk),
inference(split_conjunct,[status(thm)],[m__2306]),
[final] ).
cnf(i_0_322,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_323,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_324,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_325,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_326,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]),
[final] ).
cnf(i_0_327,hypothesis,
xr != sz10,
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_328,hypothesis,
xr != sz00,
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_329,hypothesis,
xk != xp,
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_330,hypothesis,
xk != sz10,
inference(split_conjunct,[status(thm)],[m__2327]),
[final] ).
cnf(i_0_331,hypothesis,
xk != sz10,
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_332,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[m__2327]),
[final] ).
cnf(i_0_333,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_334,hypothesis,
xm != xp,
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_335,hypothesis,
xn != xp,
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_336,hypothesis,
xp != sz10,
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_337,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_338,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_339,axiom,
X1 = X1 ).
cnf(i_0_340,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_341,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_342,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_343,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_344,axiom,
( X1 != X2
| esk3_1(X1) = esk3_1(X2) ) ).
cnf(i_0_345,axiom,
( X1 != X2
| esk5_3(X1,X3,X4) = esk5_3(X2,X3,X4) ) ).
cnf(i_0_346,axiom,
( X1 != X2
| esk5_3(X3,X1,X4) = esk5_3(X3,X2,X4) ) ).
cnf(i_0_347,axiom,
( X1 != X2
| esk5_3(X3,X4,X1) = esk5_3(X3,X4,X2) ) ).
cnf(i_0_348,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_349,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_350,axiom,
( X1 != X2
| sdtsldt0(X1,X3) = sdtsldt0(X2,X3) ) ).
cnf(i_0_351,axiom,
( X1 != X2
| sdtsldt0(X3,X1) = sdtsldt0(X3,X2) ) ).
cnf(i_0_352,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_353,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_354,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_355,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_356,axiom,
( X1 != X2
| ~ doDivides0(X1,X3)
| doDivides0(X2,X3) ) ).
cnf(i_0_357,axiom,
( X1 != X2
| ~ doDivides0(X3,X1)
| doDivides0(X3,X2) ) ).
cnf(i_0_358,axiom,
( X1 != X2
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X2) ) ).
cnf(i_0_359,axiom,
( X1 != X2
| ~ isPrime0(X1)
| isPrime0(X2) ) ).
cnf(i_0_360,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_361,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_2288,plain,
~ iLess0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1605,i_0_2146,i_0_1951,i_0_1390,i_0_422,i_0_1371,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_974,i_0_269,i_0_1607,i_0_311,i_0_837,i_0_953,i_0_1363,i_0_612,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218]) ).
cnf(i_0_2290,plain,
xr != sdtpldt0(sz10,sdtmndt0(sz10,sz10)),
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1605,i_0_2146,i_0_1951,i_0_1390,i_0_422,i_0_1371,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_974,i_0_269,i_0_1607,i_0_311,i_0_837,i_0_953,i_0_1363,i_0_612,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451]) ).
cnf(i_0_1435,plain,
sdtmndt0(esk9_0,xr) = sdtpldt0(sdtmndt0(xk,xr),sdtmndt0(sdtmndt0(xk,xr),sdtmndt0(xk,xr))),
inference(scs_inference,[],[i_0_601,i_0_1413,i_0_1094,i_0_620,i_0_287,i_0_340,i_0_341]) ).
cnf(i_0_1436,plain,
sdtlseqdt0(sdtpldt0(xn,sdtpldt0(esk10_0,sdtmndt0(esk10_0,esk10_0))),sdtpldt0(xn,esk10_0)),
inference(scs_inference,[],[i_0_674,i_0_601,i_0_1389,i_0_1413,i_0_1415,i_0_1094,i_0_620,i_0_287,i_0_340,i_0_341,i_0_272]) ).
cnf(i_0_1438,plain,
sdtpldt0(esk15_0,sdtmndt0(sdtmndt0(xp,xk),esk15_0)) = esk15_0,
inference(scs_inference,[],[i_0_674,i_0_313,i_0_601,i_0_1389,i_0_1413,i_0_1415,i_0_1094,i_0_620,i_0_425,i_0_287,i_0_340,i_0_341,i_0_272,i_0_242]) ).
cnf(i_0_1498,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(xk,xr),sdtmndt0(esk9_0,xr))),
inference(equality_inference,[],[1494]) ).
cnf(i_0_1712,plain,
sdtmndt0(sdtpldt0(xr,sdtmndt0(xk,xr)),xr) = sdtmndt0(xk,xr),
inference(scs_inference,[],[i_0_926,i_0_1688,i_0_287,i_0_340]) ).
cnf(i_0_1713,plain,
sdtmndt0(sdtsldt0(esk9_0,xr),esk12_0) = sdtmndt0(esk12_0,esk12_0),
inference(scs_inference,[],[i_0_926,i_0_1687,i_0_1688,i_0_1647,i_0_287,i_0_340,i_0_341]) ).
cnf(i_0_1714,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(xp,xp),sdtmndt0(xp,xp))),
inference(scs_inference,[],[i_0_926,i_0_1687,i_0_1688,i_0_1647,i_0_287,i_0_340,i_0_341,i_0_416]) ).
cnf(i_0_1716,plain,
sdtpldt0(sdtmndt0(xp,xp),sdtmndt0(sdtmndt0(xp,xp),sdtmndt0(xp,xp))) = sdtmndt0(xp,xp),
inference(scs_inference,[],[i_0_926,i_0_1687,i_0_1688,i_0_1647,i_0_287,i_0_340,i_0_341,i_0_416,i_0_410]) ).
cnf(i_0_1718,plain,
sdtlseqdt0(sdtpldt0(sdtmndt0(xp,xk),sdtmndt0(sdtmndt0(xp,xk),sdtmndt0(xp,xk))),sdtmndt0(xp,xk)),
inference(scs_inference,[],[i_0_549,i_0_839,i_0_926,i_0_1501,i_0_1687,i_0_1688,i_0_1647,i_0_287,i_0_340,i_0_341,i_0_416,i_0_410,i_0_272]) ).
cnf(i_0_1722,plain,
sdtpldt0(esk12_0,sdtmndt0(sdtsldt0(esk9_0,xr),esk12_0)) = esk12_0,
inference(scs_inference,[],[i_0_549,i_0_315,i_0_316,i_0_839,i_0_926,i_0_1501,i_0_1687,i_0_1688,i_0_1647,i_0_872,i_0_1692,i_0_847,i_0_287,i_0_340,i_0_341,i_0_416,i_0_410,i_0_272,i_0_250,i_0_242]) ).
cnf(i_0_1754,plain,
sdtlseqdt0(sdtmndt0(sdtsldt0(xk,xr),esk12_0),sdtmndt0(sdtsldt0(esk9_0,xr),esk12_0)),
inference(scs_inference,[],[i_0_427,i_0_980,i_0_314,i_0_1687,i_0_1732,i_0_1689,i_0_287,i_0_340,i_0_341,i_0_416,i_0_410,i_0_272]) ).
cnf(i_0_1799,plain,
sdtlseqdt0(sdtmndt0(sdtsldt0(esk9_0,xr),esk12_0),sdtmndt0(sdtsldt0(xk,xr),esk12_0)),
inference(scs_inference,[],[i_0_875,i_0_980,i_0_1667,i_0_325,i_0_1689,i_0_1766,i_0_1767,i_0_1780,i_0_1001,i_0_1777,i_0_287,i_0_340,i_0_301,i_0_360,i_0_341,i_0_416,i_0_410,i_0_272]) ).
cnf(i_0_1821,plain,
aNaturalNumber0(sz00),
inference(equality_inference,[],[1817]) ).
cnf(i_0_1873,plain,
aNaturalNumber0(sdtmndt0(esk14_0,esk14_0)),
inference(equality_inference,[],[1869]) ).
cnf(i_0_1890,plain,
aNaturalNumber0(sdtmndt0(sz10,sz10)),
inference(equality_inference,[],[1886]) ).
cnf(i_0_1948,plain,
aNaturalNumber0(sdtmndt0(xn,xn)),
inference(equality_inference,[],[1944]) ).
cnf(i_0_1991,plain,
sdtmndt0(sdtmndt0(sdtpldt0(xn,esk10_0),xn),esk10_0) = sdtmndt0(esk10_0,esk10_0),
inference(scs_inference,[],[i_0_1690,i_0_1141,i_0_287,i_0_340]) ).
cnf(i_0_1992,plain,
aNaturalNumber0(sdtpldt0(xn,sdtmndt0(sdtpldt0(xn,esk10_0),xn))),
inference(scs_inference,[],[i_0_322,i_0_1837,i_0_1690,i_0_1141,i_0_287,i_0_340,i_0_358]) ).
cnf(i_0_1993,plain,
sdtlseqdt0(sdtpldt0(xn,sdtmndt0(sdtpldt0(xn,esk10_0),xn)),xp),
inference(scs_inference,[],[i_0_322,i_0_1837,i_0_1690,i_0_1141,i_0_287,i_0_340,i_0_358,i_0_272]) ).
cnf(i_0_1995,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(sdtpldt0(xn,esk10_0),xn),esk10_0)),
inference(scs_inference,[],[i_0_322,i_0_318,i_0_1837,i_0_1690,i_0_1141,i_0_824,i_0_287,i_0_340,i_0_358,i_0_272,i_0_250]) ).
cnf(i_0_2009,plain,
sdtlseqdt0(esk13_0,sdtmndt0(sdtpldt0(xr,esk13_0),xr)),
inference(scs_inference,[],[i_0_315,i_0_1208,i_0_1942,i_0_1668,i_0_441,i_0_287,i_0_340,i_0_272]) ).
cnf(i_0_2034,plain,
aNaturalNumber0(sdtmndt0(sdtpldt0(xr,esk13_0),sdtasdt0(xr,esk12_0))),
inference(scs_inference,[],[i_0_603,i_0_466,i_0_429,i_0_468,i_0_686,i_0_1333,i_0_2019,i_0_1880,i_0_636,i_0_287,i_0_340,i_0_272,i_0_236,i_0_817]) ).
cnf(i_0_2067,plain,
sdtsldt0(xk,xr) = sdtpldt0(esk12_0,sdtmndt0(sdtsldt0(esk9_0,xr),esk12_0)),
inference(scs_inference,[],[i_0_1630,i_0_1698,i_0_287,i_0_340]) ).
cnf(i_0_2130,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(xk,xk),sdtmndt0(xk,xk))),
inference(equality_inference,[],[2120]) ).
cnf(i_0_2144,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(esk14_0,esk14_0),sdtmndt0(esk14_0,esk14_0))),
inference(equality_inference,[],[2134]) ).
cnf(i_0_2331,plain,
esk1_2(sz10,xk) = sdtasdt0(sz10,esk1_2(sz10,xk)),
inference(scs_inference,[],[i_0_2248,i_0_292]) ).
cnf(i_0_2333,plain,
esk1_2(sz10,xk) = sdtpldt0(sz00,esk1_2(sz10,xk)),
inference(scs_inference,[],[i_0_2248,i_0_292,i_0_293]) ).
cnf(i_0_2335,plain,
sdtpldt0(xp,esk1_2(sz10,xk)) != xm,
inference(scs_inference,[],[i_0_2248,i_0_292,i_0_293,i_0_276]) ).
cnf(i_0_2337,plain,
sdtpldt0(xp,esk1_2(sz10,xk)) != xn,
inference(scs_inference,[],[i_0_2248,i_0_292,i_0_293,i_0_276,i_0_277]) ).
cnf(i_0_2339,plain,
xm != sdtasdt0(xr,esk1_2(sz10,xk)),
inference(scs_inference,[],[i_0_2248,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278]) ).
cnf(i_0_2341,plain,
xn != sdtasdt0(xr,esk1_2(sz10,xk)),
inference(scs_inference,[],[i_0_2248,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279]) ).
cnf(i_0_2343,plain,
sdtasdt0(esk1_2(sz10,xk),sz00) = sz00,
inference(scs_inference,[],[i_0_2248,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294]) ).
cnf(i_0_2345,plain,
sz00 = sdtasdt0(sz00,esk1_2(sz10,xk)),
inference(scs_inference,[],[i_0_2248,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295]) ).
cnf(i_0_2347,plain,
sdtasdt0(sdtpldt0(xr,esk13_0),X1) = sdtasdt0(sdtasdt0(xr,sdtsldt0(xk,xr)),X1),
inference(scs_inference,[],[i_0_2248,i_0_2280,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342]) ).
cnf(i_0_2348,plain,
sdtasdt0(X1,sdtpldt0(xr,esk13_0)) = sdtasdt0(X1,sdtasdt0(xr,sdtsldt0(xk,xr))),
inference(scs_inference,[],[i_0_2248,i_0_2280,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343]) ).
cnf(i_0_2349,plain,
esk3_1(sdtpldt0(xr,esk13_0)) = esk3_1(sdtasdt0(xr,sdtsldt0(xk,xr))),
inference(scs_inference,[],[i_0_2248,i_0_2280,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344]) ).
cnf(i_0_2350,plain,
esk5_3(sdtpldt0(xr,esk13_0),X1,X2) = esk5_3(sdtasdt0(xr,sdtsldt0(xk,xr)),X1,X2),
inference(scs_inference,[],[i_0_2248,i_0_2280,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345]) ).
cnf(i_0_2351,plain,
esk5_3(X1,sdtpldt0(xr,esk13_0),X2) = esk5_3(X1,sdtasdt0(xr,sdtsldt0(xk,xr)),X2),
inference(scs_inference,[],[i_0_2248,i_0_2280,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346]) ).
cnf(i_0_2352,plain,
esk5_3(X1,X2,sdtpldt0(xr,esk13_0)) = esk5_3(X1,X2,sdtasdt0(xr,sdtsldt0(xk,xr))),
inference(scs_inference,[],[i_0_2248,i_0_2280,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347]) ).
cnf(i_0_2353,plain,
sdtsldt0(sdtpldt0(xr,esk13_0),X1) = sdtsldt0(sdtasdt0(xr,sdtsldt0(xk,xr)),X1),
inference(scs_inference,[],[i_0_2248,i_0_2280,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350]) ).
cnf(i_0_2354,plain,
sdtsldt0(X1,sdtpldt0(xr,esk13_0)) = sdtsldt0(X1,sdtasdt0(xr,sdtsldt0(xk,xr))),
inference(scs_inference,[],[i_0_2248,i_0_2280,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351]) ).
cnf(i_0_2355,plain,
sdtmndt0(X1,sdtpldt0(xr,esk13_0)) = sdtmndt0(X1,sdtasdt0(xr,sdtsldt0(xk,xr))),
inference(scs_inference,[],[i_0_2248,i_0_2280,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353]) ).
cnf(i_0_2356,plain,
sdtasdt0(esk1_2(sz10,xk),sz10) = esk1_2(sz10,xk),
inference(scs_inference,[],[i_0_2248,i_0_2280,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_290]) ).
cnf(i_0_2358,plain,
sdtpldt0(esk1_2(sz10,xk),sz00) = esk1_2(sz10,xk),
inference(scs_inference,[],[i_0_2248,i_0_2280,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_290,i_0_291]) ).
cnf(i_0_2360,plain,
~ sdtlseqdt0(sdtpldt0(xn,sdtmndt0(sdtpldt0(xm,esk11_0),xn)),xm),
inference(scs_inference,[],[i_0_2248,i_0_2280,i_0_2270,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_290,i_0_291,i_0_726]) ).
cnf(i_0_2361,plain,
~ sdtlseqdt0(sdtpldt0(xn,sdtmndt0(sdtpldt0(xm,esk11_0),xn)),xn),
inference(scs_inference,[],[i_0_2248,i_0_2280,i_0_2270,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_290,i_0_291,i_0_726,i_0_688]) ).
cnf(i_0_2362,plain,
sdtmndt0(sdtpldt0(xr,esk13_0),X1) = sdtmndt0(sdtasdt0(xr,sdtsldt0(xk,xr)),X1),
inference(scs_inference,[],[i_0_2248,i_0_2280,i_0_2270,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_290,i_0_291,i_0_726,i_0_688,i_0_352]) ).
cnf(i_0_2363,plain,
sdtpldt0(sdtpldt0(xr,esk13_0),X1) = sdtpldt0(sdtasdt0(xr,sdtsldt0(xk,xr)),X1),
inference(scs_inference,[],[i_0_2248,i_0_2280,i_0_2270,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_290,i_0_291,i_0_726,i_0_688,i_0_352,i_0_348]) ).
cnf(i_0_2364,plain,
sdtpldt0(X1,sdtpldt0(xr,esk13_0)) = sdtpldt0(X1,sdtasdt0(xr,sdtsldt0(xk,xr))),
inference(scs_inference,[],[i_0_2248,i_0_2280,i_0_2270,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_290,i_0_291,i_0_726,i_0_688,i_0_352,i_0_348,i_0_349]) ).
cnf(i_0_2365,plain,
xm != xk,
inference(scs_inference,[],[i_0_428,i_0_2248,i_0_2280,i_0_2270,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_290,i_0_291,i_0_726,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340]) ).
cnf(i_0_1444,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(esk12_0,esk12_0),sdtmndt0(esk12_0,esk12_0))),
inference(equality_inference,[],[1440]) ).
cnf(i_0_1447,plain,
sdtpldt0(sdtmndt0(xk,xr),sdtmndt0(sdtmndt0(xk,xr),sdtmndt0(xk,xr))) = sdtmndt0(esk9_0,xr),
inference(scs_inference,[],[i_0_1435,i_0_965,i_0_287,i_0_340]) ).
cnf(i_0_1448,plain,
sdtmndt0(xm,xm) != sdtpldt0(sdtmndt0(xp,xm),sdtmndt0(sdtmndt0(xp,xm),sdtmndt0(xp,xm))),
inference(scs_inference,[],[i_0_1414,i_0_1435,i_0_965,i_0_705,i_0_287,i_0_340,i_0_341]) ).
cnf(i_0_1449,plain,
sdtlseqdt0(sdtpldt0(sdtmndt0(xk,xr),sdtmndt0(sdtmndt0(xk,xr),sdtmndt0(xk,xr))),sdtmndt0(esk9_0,xr)),
inference(scs_inference,[],[i_0_616,i_0_731,i_0_1414,i_0_1435,i_0_965,i_0_705,i_0_287,i_0_340,i_0_341,i_0_272]) ).
cnf(i_0_1451,plain,
sdtmndt0(sdtmndt0(xk,xr),sdtmndt0(xk,xr)) = sdtmndt0(sdtmndt0(esk9_0,xr),sdtmndt0(xk,xr)),
inference(scs_inference,[],[i_0_616,i_0_466,i_0_731,i_0_1414,i_0_1435,i_0_965,i_0_727,i_0_705,i_0_699,i_0_287,i_0_340,i_0_341,i_0_272,i_0_236]) ).
cnf(i_0_1728,plain,
aNaturalNumber0(sdtmndt0(esk11_0,esk11_0)),
inference(equality_inference,[],[1724]) ).
cnf(i_0_1737,plain,
sdtlseqdt0(sdtmndt0(esk12_0,esk12_0),sdtmndt0(sdtsldt0(esk9_0,xr),esk12_0)),
inference(scs_inference,[],[i_0_854,i_0_1047,i_0_497,i_0_1713,i_0_1689,i_0_882,i_0_283,i_0_287,i_0_340,i_0_341,i_0_416,i_0_410,i_0_272]) ).
cnf(i_0_1739,plain,
aNaturalNumber0(sdtmndt0(sdtpldt0(xr,sdtmndt0(xk,xr)),xr)),
inference(scs_inference,[],[i_0_321,i_0_320,i_0_854,i_0_1047,i_0_497,i_0_1713,i_0_1689,i_0_1712,i_0_882,i_0_283,i_0_443,i_0_287,i_0_340,i_0_341,i_0_416,i_0_410,i_0_272,i_0_250]) ).
cnf(i_0_1756,plain,
aNaturalNumber0(sdtpldt0(sdtmndt0(xp,xp),sdtmndt0(sdtmndt0(xp,xp),sdtmndt0(xp,xp)))),
inference(scs_inference,[],[i_0_322,i_0_427,i_0_980,i_0_314,i_0_1687,i_0_1732,i_0_1689,i_0_917,i_0_1716,i_0_287,i_0_340,i_0_341,i_0_416,i_0_410,i_0_272,i_0_250]) ).
cnf(i_0_1801,plain,
sdtlseqdt0(sdtmndt0(sdtsldt0(esk9_0,xr),esk12_0),sdtmndt0(sdtsldt0(esk9_0,xr),esk12_0)),
inference(scs_inference,[],[i_0_875,i_0_980,i_0_1667,i_0_325,i_0_1689,i_0_1766,i_0_1767,i_0_1780,i_0_1001,i_0_1754,i_0_1777,i_0_287,i_0_340,i_0_301,i_0_360,i_0_341,i_0_416,i_0_410,i_0_272,i_0_238]) ).
cnf(i_0_1975,plain,
sdtlseqdt0(sdtmndt0(sdtmndt0(xp,xp),sdtmndt0(xp,xp)),sdtmndt0(sdtmndt0(xp,xp),sdtmndt0(xp,xp))),
inference(scs_inference,[],[i_0_1714,i_0_287]) ).
cnf(i_0_1977,plain,
sdtmndt0(sdtsldt0(sdtpldt0(xr,esk13_0),xr),esk12_0) = sdtmndt0(esk12_0,esk12_0),
inference(scs_inference,[],[i_0_1714,i_0_1076,i_0_287,i_0_340]) ).
cnf(i_0_1978,plain,
sdtlseqdt0(sdtpldt0(xn,sdtpldt0(esk10_0,sdtmndt0(esk10_0,esk10_0))),xp),
inference(scs_inference,[],[i_0_322,i_0_1731,i_0_1415,i_0_1714,i_0_1076,i_0_287,i_0_340,i_0_272]) ).
cnf(i_0_1980,plain,
aNaturalNumber0(sdtmndt0(sdtsldt0(sdtpldt0(xr,esk13_0),xr),esk12_0)),
inference(scs_inference,[],[i_0_322,i_0_316,i_0_1731,i_0_1415,i_0_1714,i_0_1076,i_0_847,i_0_287,i_0_340,i_0_272,i_0_250]) ).
cnf(i_0_2005,plain,
sdtpldt0(esk9_0,sdtmndt0(esk9_0,esk9_0)) = esk9_0,
inference(equality_inference,[],[1997]) ).
cnf(i_0_2015,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(xr,xr),sdtmndt0(xr,xr))),
inference(equality_inference,[],[2011]) ).
cnf(i_0_2039,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(esk13_0,esk13_0),sdtmndt0(esk13_0,esk13_0))),
inference(equality_inference,[],[2035]) ).
cnf(i_0_2042,plain,
sz00 = sdtpldt0(sz00,sdtmndt0(sz00,sz00)),
inference(scs_inference,[],[i_0_2034,i_0_1769,i_0_287,i_0_340]) ).
cnf(i_0_2043,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtmndt0(sz00,sz00))),
inference(scs_inference,[],[i_0_326,i_0_2034,i_0_1769,i_0_287,i_0_340,i_0_358]) ).
cnf(i_0_2044,plain,
sdtlseqdt0(sdtpldt0(sdtmndt0(xk,xr),sdtmndt0(sdtmndt0(xk,xr),sdtmndt0(xk,xr))),sdtmndt0(xk,xr)),
inference(scs_inference,[],[i_0_466,i_0_326,i_0_731,i_0_1413,i_0_2034,i_0_1769,i_0_287,i_0_340,i_0_358,i_0_272]) ).
cnf(i_0_2046,plain,
~ isPrime0(sdtpldt0(sz00,sdtmndt0(sz00,sz00))),
inference(scs_inference,[],[i_0_466,i_0_326,i_0_731,i_0_1413,i_0_2034,i_0_1769,i_0_287,i_0_340,i_0_358,i_0_272,i_0_301]) ).
cnf(i_0_2094,plain,
esk15_0 = sdtpldt0(esk15_0,sdtmndt0(sdtmndt0(xp,xk),esk15_0)),
inference(scs_inference,[],[i_0_1863,i_0_1438,i_0_287,i_0_340]) ).
cnf(i_0_2095,plain,
sdtmndt0(xp,xk) = sdtpldt0(esk15_0,sdtmndt0(sdtmndt0(xp,xk),esk15_0)),
inference(scs_inference,[],[i_0_721,i_0_1863,i_0_1438,i_0_287,i_0_340,i_0_341]) ).
cnf(i_0_2096,plain,
sdtlseqdt0(sdtpldt0(xr,esk13_0),xk),
inference(scs_inference,[],[i_0_603,i_0_321,i_0_721,i_0_696,i_0_1863,i_0_1438,i_0_287,i_0_340,i_0_341,i_0_272]) ).
cnf(i_0_1457,plain,
aNaturalNumber0(sdtmndt0(sdtpldt0(xn,esk10_0),sdtpldt0(xn,esk10_0))),
inference(equality_inference,[],[1453]) ).
cnf(i_0_1462,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(esk9_0,xr),sdtmndt0(xk,xr))),
inference(scs_inference,[],[i_0_703,i_0_727,i_0_590,i_0_751,i_0_1451,i_0_1370,i_0_287,i_0_340,i_0_341,i_0_358]) ).
cnf(i_0_1463,plain,
sdtlseqdt0(sdtmndt0(esk15_0,esk15_0),sdtmndt0(sdtmndt0(xp,xk),esk15_0)),
inference(scs_inference,[],[i_0_431,i_0_1434,i_0_703,i_0_633,i_0_727,i_0_590,i_0_751,i_0_1451,i_0_1370,i_0_287,i_0_340,i_0_341,i_0_358,i_0_272]) ).
cnf(i_0_1745,plain,
aNaturalNumber0(sdtmndt0(esk13_0,esk13_0)),
inference(equality_inference,[],[1741]) ).
cnf(i_0_1762,plain,
aNaturalNumber0(sdtmndt0(xp,xp)),
inference(equality_inference,[],[1758]) ).
cnf(i_0_1809,plain,
aNaturalNumber0(esk14_0),
inference(equality_inference,[],[1805]) ).
cnf(i_0_1828,plain,
sdtlseqdt0(sdtmndt0(xk,xr),sdtmndt0(sdtpldt0(xr,sdtmndt0(xk,xr)),xr)),
inference(scs_inference,[],[i_0_466,i_0_1739,i_0_1712,i_0_1278,i_0_331,i_0_1180,i_0_311,i_0_1779,i_0_1797,i_0_1791,i_0_287,i_0_340,i_0_359,i_0_360,i_0_341,i_0_272]) ).
cnf(i_0_1842,plain,
sdtlseqdt0(sdtmndt0(sdtpldt0(xr,sdtmndt0(xk,xr)),xr),sdtmndt0(xk,xr)),
inference(scs_inference,[],[i_0_466,i_0_1688,i_0_1739,i_0_1767,i_0_1139,i_0_287,i_0_340,i_0_410,i_0_416,i_0_272]) ).
cnf(i_0_1844,plain,
aNaturalNumber0(sdtpldt0(sdtmndt0(sz00,sz00),sdtmndt0(sdtmndt0(sz00,sz00),sdtmndt0(sz00,sz00)))),
inference(scs_inference,[],[i_0_466,i_0_326,i_0_1688,i_0_1739,i_0_1767,i_0_1139,i_0_1763,i_0_287,i_0_340,i_0_410,i_0_416,i_0_272,i_0_250]) ).
cnf(i_0_2026,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(xp,xp),sdtmndt0(xp,xp))),
inference(equality_inference,[],[2022]) ).
cnf(i_0_2052,plain,
sdtpldt0(xk,sdtmndt0(xk,xk)) = xk,
inference(equality_inference,[],[2048]) ).
cnf(i_0_2054,plain,
sdtlseqdt0(sdtpldt0(sz00,sdtmndt0(sz00,sz00)),sdtpldt0(sz00,sdtmndt0(sz00,sz00))),
inference(scs_inference,[],[i_0_2043,i_0_287]) ).
cnf(i_0_2056,plain,
sdtsldt0(esk9_0,xr) = sdtpldt0(esk12_0,sdtmndt0(sdtsldt0(xk,xr),esk12_0)),
inference(scs_inference,[],[i_0_2043,i_0_1676,i_0_287,i_0_340]) ).
cnf(i_0_2057,plain,
xp != sdtpldt0(sz00,sdtmndt0(sz00,sz00)),
inference(scs_inference,[],[i_0_2043,i_0_312,i_0_1676,i_0_2046,i_0_287,i_0_340,i_0_359]) ).
cnf(i_0_2068,plain,
sdtpldt0(xr,sdtmndt0(xr,xr)) != sdtpldt0(sz00,sdtmndt0(sz00,sz00)),
inference(scs_inference,[],[i_0_1630,i_0_1698,i_0_1366,i_0_2046,i_0_287,i_0_340,i_0_359]) ).
cnf(i_0_2069,plain,
sdtpldt0(sdtmndt0(esk9_0,xr),sdtmndt0(sdtmndt0(esk9_0,xr),sdtmndt0(esk9_0,xr))) = esk13_0,
inference(scs_inference,[],[i_0_1345,i_0_521,i_0_1630,i_0_1698,i_0_1366,i_0_2046,i_0_287,i_0_340,i_0_359,i_0_341]) ).
cnf(i_0_2070,plain,
sdtlseqdt0(esk13_0,sdtmndt0(sdtasdt0(xr,esk12_0),xr)),
inference(scs_inference,[],[i_0_315,i_0_1345,i_0_812,i_0_1460,i_0_521,i_0_1630,i_0_1698,i_0_1366,i_0_2046,i_0_287,i_0_340,i_0_359,i_0_341,i_0_272]) ).
cnf(i_0_2072,plain,
sdtlseqdt0(sdtmndt0(esk9_0,xr),esk13_0),
inference(scs_inference,[],[i_0_616,i_0_315,i_0_1345,i_0_812,i_0_680,i_0_1460,i_0_521,i_0_1630,i_0_1698,i_0_1366,i_0_2046,i_0_287,i_0_340,i_0_359,i_0_341,i_0_272,i_0_252]) ).
cnf(i_0_2074,plain,
sdtmndt0(sdtmndt0(esk9_0,xr),sdtmndt0(esk9_0,xr)) = sdtmndt0(esk13_0,sdtmndt0(esk9_0,xr)),
inference(scs_inference,[],[i_0_616,i_0_315,i_0_1345,i_0_812,i_0_680,i_0_1460,i_0_521,i_0_1630,i_0_1698,i_0_1366,i_0_2046,i_0_287,i_0_340,i_0_359,i_0_341,i_0_272,i_0_252,i_0_236]) ).
cnf(i_0_2102,plain,
aNaturalNumber0(sdtmndt0(sdtpldt0(xr,esk13_0),sdtasdt0(xr,esk12_0))),
inference(equality_inference,[],[2098]) ).
cnf(i_0_2103,plain,
sdtpldt0(esk15_0,sdtmndt0(sdtmndt0(xp,xk),esk15_0)) = sdtmndt0(xp,xk),
inference(scs_inference,[],[i_0_2095,i_0_340]) ).
cnf(i_0_2104,plain,
sdtlseqdt0(sdtpldt0(xm,esk11_0),xp),
inference(scs_inference,[],[i_0_322,i_0_765,i_0_740,i_0_2095,i_0_340,i_0_272]) ).
cnf(i_0_2106,plain,
aNaturalNumber0(sdtpldt0(esk15_0,sdtmndt0(sdtmndt0(xp,xk),esk15_0))),
inference(scs_inference,[],[i_0_321,i_0_322,i_0_765,i_0_740,i_0_2095,i_0_303,i_0_340,i_0_272,i_0_250]) ).
cnf(i_0_2179,plain,
sdtlseqdt0(sdtpldt0(sz00,sdtmndt0(sz00,sz00)),sz00),
inference(scs_inference,[],[i_0_326,i_0_2042,i_0_2043,i_0_2165,i_0_340,i_0_272]) ).
cnf(i_0_2181,plain,
sdtlseqdt0(esk9_0,sdtpldt0(xr,sdtmndt0(xk,xr))),
inference(scs_inference,[],[i_0_319,i_0_554,i_0_326,i_0_1528,i_0_2042,i_0_2043,i_0_2165,i_0_340,i_0_272,i_0_252]) ).
cnf(i_0_2183,plain,
sdtmndt0(esk9_0,esk9_0) = sdtmndt0(sdtpldt0(xr,sdtmndt0(xk,xr)),esk9_0),
inference(scs_inference,[],[i_0_319,i_0_554,i_0_326,i_0_1528,i_0_2042,i_0_2043,i_0_2165,i_0_340,i_0_272,i_0_252,i_0_236]) ).
cnf(i_0_2185,plain,
aNaturalNumber0(sdtmndt0(sdtpldt0(xr,sdtmndt0(xk,xr)),esk9_0)),
inference(scs_inference,[],[i_0_319,i_0_554,i_0_326,i_0_1528,i_0_2042,i_0_2043,i_0_2165,i_0_340,i_0_272,i_0_252,i_0_236,i_0_1659]) ).
cnf(i_0_2293,plain,
esk4_1(sdtpldt0(xr,sdtmndt0(xr,xr))) != sz10,
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1980,i_0_1605,i_0_2146,i_0_1951,i_0_1390,i_0_422,i_0_1371,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_974,i_0_269,i_0_1607,i_0_311,i_0_837,i_0_953,i_0_1363,i_0_612,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451,i_0_301,i_0_300]) ).
cnf(i_0_2295,plain,
aNaturalNumber0(sdtpldt0(xr,sdtmndt0(sdtasdt0(xr,esk12_0),xr))),
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1980,i_0_1605,i_0_2146,i_0_1951,i_0_1390,i_0_422,i_0_1371,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_974,i_0_269,i_0_1607,i_0_311,i_0_837,i_0_953,i_0_1363,i_0_612,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451,i_0_301,i_0_300,i_0_358]) ).
cnf(i_0_2296,plain,
sdtpldt0(sdtpldt0(xr,sdtmndt0(xr,xr)),sdtpldt0(xr,sdtmndt0(xr,xr))) != sz00,
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1980,i_0_1605,i_0_2146,i_0_1951,i_0_1390,i_0_422,i_0_1371,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_974,i_0_269,i_0_1607,i_0_311,i_0_837,i_0_953,i_0_1363,i_0_612,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451,i_0_301,i_0_300,i_0_358,i_0_266]) ).
cnf(i_0_2298,plain,
sdtpldt0(sz10,sz10) != sz00,
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1980,i_0_1605,i_0_2146,i_0_1951,i_0_1390,i_0_338,i_0_422,i_0_1371,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_974,i_0_269,i_0_1607,i_0_311,i_0_837,i_0_953,i_0_1363,i_0_612,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451,i_0_301,i_0_300,i_0_358,i_0_266,i_0_267]) ).
cnf(i_0_2300,plain,
sdtlseqdt0(sz10,sdtasdt0(sz10,sz10)),
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1980,i_0_1605,i_0_2146,i_0_1951,i_0_1390,i_0_338,i_0_422,i_0_1371,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_974,i_0_269,i_0_1607,i_0_311,i_0_837,i_0_953,i_0_1363,i_0_612,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451,i_0_301,i_0_300,i_0_358,i_0_266,i_0_267,i_0_254]) ).
cnf(i_0_2304,plain,
doDivides0(xr,sdtasdt0(xr,sdtpldt0(esk12_0,sdtmndt0(esk12_0,esk12_0)))),
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1980,i_0_1605,i_0_1884,i_0_2146,i_0_1951,i_0_1390,i_0_338,i_0_422,i_0_1371,i_0_960,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_974,i_0_269,i_0_1880,i_0_1607,i_0_311,i_0_837,i_0_953,i_0_1363,i_0_1795,i_0_612,i_0_903,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451,i_0_301,i_0_300,i_0_358,i_0_266,i_0_267,i_0_254,i_0_417,i_0_418]) ).
cnf(i_0_2306,plain,
sdtpldt0(sdtmndt0(xm,xm),sdtmndt0(sdtmndt0(xm,xm),sdtmndt0(xm,xm))) != sdtmndt0(xp,xm),
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1980,i_0_1605,i_0_1884,i_0_2146,i_0_1965,i_0_1951,i_0_1390,i_0_338,i_0_422,i_0_1371,i_0_1900,i_0_960,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_974,i_0_269,i_0_1880,i_0_1607,i_0_311,i_0_837,i_0_953,i_0_1363,i_0_1795,i_0_612,i_0_903,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451,i_0_301,i_0_300,i_0_358,i_0_266,i_0_267,i_0_254,i_0_417,i_0_418,i_0_272]) ).
cnf(i_0_2308,plain,
~ sdtlseqdt0(xp,xk),
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1980,i_0_1605,i_0_1884,i_0_2146,i_0_1965,i_0_1951,i_0_1390,i_0_338,i_0_422,i_0_1371,i_0_1900,i_0_960,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_974,i_0_269,i_0_1880,i_0_1607,i_0_311,i_0_837,i_0_953,i_0_1363,i_0_1795,i_0_303,i_0_612,i_0_903,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_329,i_0_322,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451,i_0_301,i_0_300,i_0_358,i_0_266,i_0_267,i_0_254,i_0_417,i_0_418,i_0_272,i_0_251]) ).
cnf(i_0_2310,plain,
iLess0(sdtmndt0(xm,xm),sdtmndt0(sdtpldt0(xm,esk11_0),xm)),
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1334,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1980,i_0_1605,i_0_1884,i_0_2146,i_0_1965,i_0_1951,i_0_1390,i_0_338,i_0_422,i_0_1371,i_0_1900,i_0_960,i_0_1391,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_974,i_0_269,i_0_1880,i_0_1607,i_0_311,i_0_837,i_0_953,i_0_1363,i_0_1242,i_0_1795,i_0_303,i_0_612,i_0_903,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1012,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_329,i_0_322,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451,i_0_301,i_0_300,i_0_358,i_0_266,i_0_267,i_0_254,i_0_417,i_0_418,i_0_272,i_0_251,i_0_255]) ).
cnf(i_0_2312,plain,
sdtlseqdt0(esk4_1(sdtpldt0(xr,sdtmndt0(xr,xr))),sdtpldt0(xr,sdtmndt0(xr,xr))),
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1334,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1980,i_0_1605,i_0_1884,i_0_2146,i_0_1965,i_0_1951,i_0_1390,i_0_338,i_0_422,i_0_1371,i_0_1900,i_0_960,i_0_1391,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_974,i_0_269,i_0_1880,i_0_1607,i_0_311,i_0_837,i_0_953,i_0_1363,i_0_1242,i_0_1795,i_0_303,i_0_612,i_0_903,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1012,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_329,i_0_322,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451,i_0_301,i_0_300,i_0_358,i_0_266,i_0_267,i_0_254,i_0_417,i_0_418,i_0_272,i_0_251,i_0_255,i_0_256]) ).
cnf(i_0_2314,plain,
aNaturalNumber0(sdtsldt0(sdtpldt0(xr,sdtmndt0(esk9_0,xr)),xr)),
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1334,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1980,i_0_1605,i_0_1884,i_0_2146,i_0_1965,i_0_1951,i_0_1390,i_0_338,i_0_422,i_0_1371,i_0_1900,i_0_960,i_0_1391,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_974,i_0_269,i_0_1880,i_0_1607,i_0_311,i_0_837,i_0_953,i_0_1363,i_0_1242,i_0_1795,i_0_303,i_0_612,i_0_903,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1012,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_329,i_0_322,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451,i_0_301,i_0_300,i_0_358,i_0_266,i_0_267,i_0_254,i_0_417,i_0_418,i_0_272,i_0_251,i_0_255,i_0_256,i_0_415]) ).
cnf(i_0_2316,plain,
sdtpldt0(xr,esk13_0) = sdtasdt0(xr,sdtsldt0(sdtpldt0(xr,esk13_0),xr)),
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1334,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1980,i_0_1605,i_0_1884,i_0_2146,i_0_1965,i_0_1951,i_0_1390,i_0_338,i_0_422,i_0_1371,i_0_1900,i_0_960,i_0_1391,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_974,i_0_269,i_0_1880,i_0_1607,i_0_311,i_0_837,i_0_953,i_0_1363,i_0_1242,i_0_1795,i_0_303,i_0_612,i_0_903,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1012,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_329,i_0_322,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451,i_0_301,i_0_300,i_0_358,i_0_266,i_0_267,i_0_254,i_0_417,i_0_418,i_0_272,i_0_251,i_0_255,i_0_256,i_0_415,i_0_409]) ).
cnf(i_0_2318,plain,
sdtpldt0(xn,sdtmndt0(xn,xn)) != sdtasdt0(xr,sdtpldt0(xn,sdtmndt0(xn,xn))),
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1334,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1980,i_0_1605,i_0_1884,i_0_2146,i_0_1965,i_0_1951,i_0_1390,i_0_338,i_0_422,i_0_1371,i_0_1900,i_0_960,i_0_1391,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_798,i_0_974,i_0_269,i_0_1880,i_0_1607,i_0_311,i_0_837,i_0_953,i_0_1363,i_0_1242,i_0_1795,i_0_303,i_0_612,i_0_1155,i_0_903,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1012,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_329,i_0_322,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451,i_0_301,i_0_300,i_0_358,i_0_266,i_0_267,i_0_254,i_0_417,i_0_418,i_0_272,i_0_251,i_0_255,i_0_256,i_0_415,i_0_409,i_0_253]) ).
cnf(i_0_2320,plain,
sdtpldt0(sdtpldt0(xm,esk11_0),sdtpldt0(xn,sdtmndt0(xn,xn))) != sdtpldt0(xn,sdtmndt0(xn,xn)),
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1334,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1980,i_0_1605,i_0_1884,i_0_2146,i_0_1965,i_0_1951,i_0_1390,i_0_338,i_0_422,i_0_1371,i_0_1900,i_0_960,i_0_1391,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_798,i_0_974,i_0_269,i_0_1880,i_0_1607,i_0_311,i_0_776,i_0_837,i_0_953,i_0_1363,i_0_1242,i_0_1795,i_0_303,i_0_612,i_0_1155,i_0_903,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1012,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_329,i_0_322,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451,i_0_301,i_0_300,i_0_358,i_0_266,i_0_267,i_0_254,i_0_417,i_0_418,i_0_272,i_0_251,i_0_255,i_0_256,i_0_415,i_0_409,i_0_253,i_0_252]) ).
cnf(i_0_2322,plain,
~ doDivides0(sdtpldt0(xr,sdtmndt0(esk9_0,xr)),xm),
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1334,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1980,i_0_1605,i_0_1884,i_0_2146,i_0_1965,i_0_1951,i_0_1390,i_0_338,i_0_422,i_0_1371,i_0_1900,i_0_960,i_0_1391,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_798,i_0_974,i_0_269,i_0_1880,i_0_1607,i_0_311,i_0_776,i_0_837,i_0_953,i_0_1363,i_0_1242,i_0_1795,i_0_303,i_0_612,i_0_1155,i_0_903,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1012,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_329,i_0_322,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451,i_0_301,i_0_300,i_0_358,i_0_266,i_0_267,i_0_254,i_0_417,i_0_418,i_0_272,i_0_251,i_0_255,i_0_256,i_0_415,i_0_409,i_0_253,i_0_252,i_0_237]) ).
cnf(i_0_2324,plain,
doDivides0(xr,sdtpldt0(sdtpldt0(xr,sdtmndt0(esk9_0,xr)),sdtpldt0(xr,sdtmndt0(esk9_0,xr)))),
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1334,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1980,i_0_1605,i_0_1884,i_0_2146,i_0_1965,i_0_1951,i_0_1390,i_0_338,i_0_422,i_0_1371,i_0_1900,i_0_960,i_0_1391,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_798,i_0_974,i_0_269,i_0_1880,i_0_1607,i_0_311,i_0_776,i_0_837,i_0_953,i_0_1363,i_0_1242,i_0_1795,i_0_303,i_0_612,i_0_1155,i_0_903,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1012,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_329,i_0_322,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451,i_0_301,i_0_300,i_0_358,i_0_266,i_0_267,i_0_254,i_0_417,i_0_418,i_0_272,i_0_251,i_0_255,i_0_256,i_0_415,i_0_409,i_0_253,i_0_252,i_0_237,i_0_228]) ).
cnf(i_0_2326,plain,
esk4_1(sdtpldt0(xr,sdtmndt0(xr,xr))) = sdtpldt0(xr,sdtmndt0(xr,xr)),
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1334,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1980,i_0_1605,i_0_1884,i_0_2146,i_0_1965,i_0_1951,i_0_1390,i_0_338,i_0_422,i_0_1371,i_0_1900,i_0_960,i_0_1391,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_798,i_0_974,i_0_269,i_0_1880,i_0_1607,i_0_1366,i_0_311,i_0_776,i_0_837,i_0_953,i_0_1363,i_0_1242,i_0_1795,i_0_303,i_0_612,i_0_1155,i_0_903,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1012,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_329,i_0_322,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451,i_0_301,i_0_300,i_0_358,i_0_266,i_0_267,i_0_254,i_0_417,i_0_418,i_0_272,i_0_251,i_0_255,i_0_256,i_0_415,i_0_409,i_0_253,i_0_252,i_0_237,i_0_228,i_0_257]) ).
cnf(i_0_2328,plain,
~ doDivides0(esk4_1(sdtpldt0(xr,sdtmndt0(xr,xr))),xm),
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1334,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1980,i_0_1605,i_0_1884,i_0_2146,i_0_1965,i_0_1951,i_0_1390,i_0_338,i_0_422,i_0_1371,i_0_1900,i_0_960,i_0_1391,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_798,i_0_974,i_0_269,i_0_1880,i_0_1607,i_0_1366,i_0_311,i_0_776,i_0_837,i_0_953,i_0_1363,i_0_1242,i_0_1795,i_0_303,i_0_612,i_0_1155,i_0_903,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1012,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_329,i_0_322,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451,i_0_301,i_0_300,i_0_358,i_0_266,i_0_267,i_0_254,i_0_417,i_0_418,i_0_272,i_0_251,i_0_255,i_0_256,i_0_415,i_0_409,i_0_253,i_0_252,i_0_237,i_0_228,i_0_257,i_0_1143]) ).
cnf(i_0_2329,plain,
~ doDivides0(esk4_1(sdtpldt0(xr,sdtmndt0(xr,xr))),xn),
inference(scs_inference,[],[i_0_296,i_0_439,i_0_943,i_0_550,i_0_435,i_0_1194,i_0_768,i_0_747,i_0_1765,i_0_1212,i_0_1223,i_0_1812,i_0_1334,i_0_1506,i_0_1531,i_0_1610,i_0_1570,i_0_2150,i_0_1964,i_0_1980,i_0_1605,i_0_1884,i_0_2146,i_0_1965,i_0_1951,i_0_1390,i_0_338,i_0_422,i_0_1371,i_0_1900,i_0_960,i_0_1391,i_0_987,i_0_967,i_0_1128,i_0_720,i_0_798,i_0_974,i_0_269,i_0_1880,i_0_1607,i_0_1366,i_0_311,i_0_776,i_0_837,i_0_953,i_0_1363,i_0_1242,i_0_1795,i_0_303,i_0_612,i_0_1155,i_0_903,i_0_1503,i_0_862,i_0_314,i_0_297,i_0_325,i_0_1014,i_0_1012,i_0_1528,i_0_765,i_0_744,i_0_522,i_0_759,i_0_603,i_0_1797,i_0_316,i_0_329,i_0_322,i_0_323,i_0_328,i_0_321,i_0_320,i_0_324,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_733,i_0_290,i_0_291,i_0_646,i_0_508,i_0_566,i_0_709,i_0_726,i_0_662,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_258,i_0_259,i_0_359,i_0_356,i_0_357,i_0_361,i_0_360,i_0_341,i_0_247,i_0_248,i_0_288,i_0_289,i_0_240,i_0_229,i_0_230,i_0_220,i_0_221,i_0_273,i_0_239,i_0_416,i_0_410,i_0_260,i_0_263,i_0_408,i_0_242,i_0_241,i_0_238,i_0_236,i_0_235,i_0_218,i_0_451,i_0_301,i_0_300,i_0_358,i_0_266,i_0_267,i_0_254,i_0_417,i_0_418,i_0_272,i_0_251,i_0_255,i_0_256,i_0_415,i_0_409,i_0_253,i_0_252,i_0_237,i_0_228,i_0_257,i_0_1143,i_0_1188]) ).
cnf(i_0_1479,plain,
sdtpldt0(xn,esk10_0) = sdtpldt0(xn,sdtmndt0(xp,xn)),
inference(scs_inference,[],[i_0_1462,i_0_1117,i_0_287,i_0_340]) ).
cnf(i_0_1480,plain,
sdtsldt0(sdtpldt0(xr,esk13_0),xr) = esk12_0,
inference(scs_inference,[],[i_0_1462,i_0_1064,i_0_1117,i_0_856,i_0_287,i_0_340,i_0_341]) ).
cnf(i_0_1481,plain,
sdtlseqdt0(sdtmndt0(esk9_0,xr),sdtpldt0(sdtmndt0(xk,xr),sdtmndt0(sdtmndt0(xk,xr),sdtmndt0(xk,xr)))),
inference(scs_inference,[],[i_0_616,i_0_731,i_0_1447,i_0_1462,i_0_1064,i_0_1117,i_0_856,i_0_287,i_0_340,i_0_341,i_0_272]) ).
cnf(i_0_1834,plain,
aNaturalNumber0(sz10),
inference(equality_inference,[],[1830]) ).
cnf(i_0_2064,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(esk11_0,esk11_0),sdtmndt0(esk11_0,esk11_0))),
inference(equality_inference,[],[2060]) ).
cnf(i_0_2080,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(sz00,sz00),sdtmndt0(sz00,sz00))),
inference(equality_inference,[],[2076]) ).
cnf(i_0_2083,plain,
esk13_0 = sdtpldt0(sdtmndt0(esk9_0,xr),sdtmndt0(sdtmndt0(esk9_0,xr),sdtmndt0(esk9_0,xr))),
inference(scs_inference,[],[i_0_2069,i_0_1649,i_0_287,i_0_340]) ).
cnf(i_0_2084,plain,
sdtlseqdt0(sdtpldt0(xr,sdtmndt0(esk9_0,xr)),sdtasdt0(xr,esk12_0)),
inference(scs_inference,[],[i_0_429,i_0_1490,i_0_1503,i_0_2069,i_0_1649,i_0_287,i_0_340,i_0_272]) ).
cnf(i_0_2116,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(esk9_0,esk9_0),sdtmndt0(esk9_0,esk9_0))),
inference(equality_inference,[],[2108]) ).
cnf(i_0_2166,plain,
sdtlseqdt0(esk13_0,sdtpldt0(sdtmndt0(esk9_0,xr),sdtmndt0(sdtmndt0(esk9_0,xr),sdtmndt0(esk9_0,xr)))),
inference(scs_inference,[],[i_0_315,i_0_891,i_0_2069,i_0_686,i_0_2147,i_0_340,i_0_341,i_0_272]) ).
cnf(i_0_2168,plain,
sdtmndt0(esk9_0,esk9_0) = sdtmndt0(sdtpldt0(xr,esk13_0),esk9_0),
inference(scs_inference,[],[i_0_603,i_0_319,i_0_315,i_0_891,i_0_554,i_0_2069,i_0_686,i_0_2147,i_0_606,i_0_340,i_0_341,i_0_272,i_0_236]) ).
cnf(i_0_2170,plain,
aNaturalNumber0(sdtmndt0(sdtpldt0(xr,esk13_0),esk9_0)),
inference(scs_inference,[],[i_0_603,i_0_319,i_0_315,i_0_891,i_0_554,i_0_2069,i_0_686,i_0_2147,i_0_606,i_0_340,i_0_341,i_0_272,i_0_236,i_0_1659]) ).
cnf(i_0_2171,plain,
sdtlseqdt0(sdtmndt0(sdtpldt0(xr,esk13_0),esk9_0),sdtmndt0(sdtpldt0(xr,esk13_0),esk9_0)),
inference(scs_inference,[],[i_0_603,i_0_319,i_0_315,i_0_891,i_0_554,i_0_2069,i_0_686,i_0_2147,i_0_606,i_0_340,i_0_341,i_0_272,i_0_236,i_0_1659,i_0_287]) ).
cnf(i_0_2194,plain,
aNaturalNumber0(sdtmndt0(sdtpldt0(xr,sdtmndt0(xk,xr)),esk9_0)),
inference(equality_inference,[],[2186]) ).
cnf(i_0_2366,plain,
iLess0(sdtmndt0(xm,xm),esk11_0),
inference(scs_inference,[],[i_0_428,i_0_2248,i_0_2310,i_0_2280,i_0_2270,i_0_1277,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_290,i_0_291,i_0_726,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_355]) ).
cnf(i_0_2367,plain,
aNaturalNumber0(sdtasdt0(esk1_2(sz10,xk),esk1_2(sz10,xk))),
inference(scs_inference,[],[i_0_428,i_0_2248,i_0_2310,i_0_2280,i_0_2270,i_0_1277,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_290,i_0_291,i_0_726,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_355,i_0_258]) ).
cnf(i_0_2369,plain,
aNaturalNumber0(sdtpldt0(esk1_2(sz10,xk),esk1_2(sz10,xk))),
inference(scs_inference,[],[i_0_428,i_0_2248,i_0_2310,i_0_2280,i_0_2270,i_0_1277,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_290,i_0_291,i_0_726,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_355,i_0_258,i_0_259]) ).
cnf(i_0_2371,plain,
esk4_1(sdtpldt0(xr,sdtmndt0(xr,xr))) != sz00,
inference(scs_inference,[],[i_0_428,i_0_2248,i_0_2310,i_0_2280,i_0_2270,i_0_2250,i_0_2252,i_0_1277,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_290,i_0_291,i_0_726,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_355,i_0_258,i_0_259,i_0_301]) ).
cnf(i_0_2373,plain,
~ isPrime0(sdtasdt0(sdtpldt0(esk11_0,sdtmndt0(esk11_0,esk11_0)),sz00)),
inference(scs_inference,[],[i_0_428,i_0_2248,i_0_2310,i_0_2280,i_0_2270,i_0_2250,i_0_2252,i_0_2216,i_0_423,i_0_1277,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_290,i_0_291,i_0_726,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_355,i_0_258,i_0_259,i_0_301,i_0_359]) ).
cnf(i_0_2374,plain,
esk4_1(xp) != sdtpldt0(xr,sdtmndt0(xk,xr)),
inference(scs_inference,[],[i_0_428,i_0_500,i_0_2248,i_0_2310,i_0_2280,i_0_2270,i_0_2250,i_0_2252,i_0_2216,i_0_920,i_0_423,i_0_1277,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_290,i_0_291,i_0_726,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_355,i_0_258,i_0_259,i_0_301,i_0_359,i_0_356]) ).
cnf(i_0_2375,plain,
doDivides0(esk4_1(xr),sdtpldt0(xr,sdtmndt0(xr,xr))),
inference(scs_inference,[],[i_0_428,i_0_472,i_0_500,i_0_2248,i_0_2310,i_0_2280,i_0_2270,i_0_2250,i_0_2252,i_0_2216,i_0_920,i_0_423,i_0_1277,i_0_1361,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_290,i_0_291,i_0_726,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_355,i_0_258,i_0_259,i_0_301,i_0_359,i_0_356,i_0_357]) ).
cnf(i_0_2376,plain,
sdtlseqdt0(sz10,sdtpldt0(xm,sdtmndt0(sdtpldt0(xm,esk11_0),xm))),
inference(scs_inference,[],[i_0_502,i_0_428,i_0_472,i_0_500,i_0_2248,i_0_2310,i_0_2280,i_0_2270,i_0_2250,i_0_2252,i_0_2216,i_0_920,i_0_423,i_0_1951,i_0_1277,i_0_1361,i_0_292,i_0_293,i_0_276,i_0_277,i_0_278,i_0_279,i_0_294,i_0_295,i_0_342,i_0_343,i_0_344,i_0_345,i_0_346,i_0_347,i_0_350,i_0_351,i_0_353,i_0_290,i_0_291,i_0_726,i_0_688,i_0_352,i_0_348,i_0_349,i_0_340,i_0_355,i_0_258,i_0_259,i_0_301,i_0_359,i_0_356,i_0_357,i_0_361]) ).
cnf(c_0_2337,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_252 ).
cnf(c_0_2338,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_259 ).
cnf(c_0_2339,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2) ),
i_0_238 ).
cnf(c_0_2340,hypothesis,
sdtlseqdt0(xk,xp),
i_0_303 ).
cnf(c_0_2341,hypothesis,
aNaturalNumber0(xk),
i_0_321 ).
cnf(c_0_2342,hypothesis,
aNaturalNumber0(xp),
i_0_322 ).
cnf(c_0_2343,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_2337]),c_0_2338]) ).
cnf(c_0_2344,hypothesis,
sdtpldt0(xr,esk13_0) = xk,
i_0_306 ).
cnf(c_0_2345,hypothesis,
aNaturalNumber0(esk13_0),
i_0_315 ).
cnf(c_0_2346,hypothesis,
aNaturalNumber0(xr),
i_0_320 ).
cnf(c_0_2347,hypothesis,
( X1 = sz10
| X1 = xr
| ~ doDivides0(X1,xr)
| ~ aNaturalNumber0(X1) ),
i_0_274 ).
cnf(c_0_2348,plain,
( doDivides0(esk4_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
i_0_273 ).
cnf(c_0_2349,hypothesis,
xr != sz00,
i_0_328 ).
cnf(c_0_2350,hypothesis,
xr != sz10,
i_0_327 ).
cnf(c_0_2351,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2) ),
i_0_255 ).
cnf(c_0_2352,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X1,X3))
| X2 = X3
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_227 ).
cnf(c_0_2353,plain,
( X1 = X2
| sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_246 ).
cnf(c_0_2354,hypothesis,
( sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2339,c_0_2340]),c_0_2341]),c_0_2342])]) ).
cnf(c_0_2355,hypothesis,
sdtlseqdt0(xr,xk),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2343,c_0_2344]),c_0_2345]),c_0_2346])]) ).
cnf(c_0_2356,hypothesis,
( esk4_1(xr) = xr
| esk4_1(xr) = sz10
| ~ aNaturalNumber0(esk4_1(xr)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2347,c_0_2348]),c_0_2346])]),c_0_2349]),c_0_2350]) ).
cnf(c_0_2357,plain,
( aNaturalNumber0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
i_0_289 ).
cnf(c_0_2358,plain,
( X1 != sz10
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
i_0_300 ).
cnf(c_0_2359,plain,
aNaturalNumber0(sz10),
i_0_325 ).
cnf(c_0_2360,plain,
~ sdtlseqdt0(xp,xk),
i_0_2308 ).
cnf(c_0_2361,plain,
( X1 = sz00
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X2,X1) ),
i_0_256 ).
cnf(c_0_2362,hypothesis,
xk != sz00,
i_0_332 ).
cnf(c_0_2363,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X3,X2) ),
i_0_237 ).
cnf(c_0_2364,hypothesis,
doDivides0(xr,xk),
i_0_302 ).
cnf(c_0_2365,plain,
~ iLess0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)),
i_0_2288 ).
cnf(c_0_2366,plain,
( X1 = X2
| iLess0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2351,c_0_2352]),c_0_2338]),c_0_2338]),c_0_2353]) ).
cnf(c_0_2367,hypothesis,
sdtlseqdt0(xr,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2354,c_0_2355]),c_0_2346])]) ).
cnf(c_0_2368,plain,
( isPrime0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
i_0_288 ).
cnf(c_0_2369,plain,
( esk4_1(xr) = sz10
| esk4_1(xr) = xr ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2356,c_0_2357]),c_0_2346])]),c_0_2349]),c_0_2350]) ).
cnf(c_0_2370,plain,
~ isPrime0(sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_2358]),c_0_2359])]) ).
cnf(c_0_2371,plain,
~ doDivides0(xp,xk),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2360,c_0_2361]),c_0_2342]),c_0_2341])]),c_0_2362]) ).
cnf(c_0_2372,hypothesis,
( doDivides0(X1,xk)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xr) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2363,c_0_2364]),c_0_2346]),c_0_2341])]) ).
cnf(c_0_2373,plain,
( xp = xr
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2365,c_0_2366]),c_0_2367]),c_0_2342]),c_0_2346])]) ).
cnf(c_0_2374,hypothesis,
aNaturalNumber0(xm),
i_0_323 ).
cnf(c_0_2375,hypothesis,
aNaturalNumber0(xn),
i_0_324 ).
cnf(c_0_2376,plain,
esk4_1(xr) = xr,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2368,c_0_2369]),c_0_2346])]),c_0_2349]),c_0_2350]),c_0_2370]) ).
cnf(c_0_2377,plain,
~ doDivides0(xp,xr),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2371,c_0_2372]),c_0_2342])]) ).
cnf(c_0_2378,plain,
xp = xr,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2373,c_0_2338]),c_0_2374]),c_0_2375])]) ).
cnf(c_0_2379,plain,
doDivides0(xr,xr),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2348,c_0_2376]),c_0_2346])]),c_0_2349]),c_0_2350]) ).
cnf(c_0_2380,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2377,c_0_2378]),c_0_2379])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM506+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n011.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 00:40:17 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 161.73/78.68 % Version : CSE_E---1.7
% 161.73/78.68 % Problem : theBenchmark.p
% 161.73/78.68 % SZS status Theorem for theBenchmark.p
% 161.73/78.68 % SZS output start CNFRefutation
% See solution above
% 168.83/85.77 % Total time : 77.643s
%------------------------------------------------------------------------------