%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM493+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 : n026.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 04:57:32 PM UTC 2026
% Result : Theorem 257.97s 133.38s
% Output : CNFRefutation 263.87s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_941)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ? [X1] :
( aNaturalNumber0(X1)
& xr = sdtasdt0(xp,X1) )
| doDivides0(xp,xr)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
| doDivides0(xp,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__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__1913,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xr,xm) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(xr,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1913) ).
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(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__1894,hypothesis,
( xr != xn
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xr,X1) = xn )
& sdtlseqdt0(xr,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1894) ).
fof(m__1870,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xn )
& sdtlseqdt0(xp,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1870) ).
fof(m__1883,hypothesis,
( aNaturalNumber0(xr)
& sdtpldt0(xp,xr) = xn
& xr = sdtmndt0(xn,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1883) ).
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(i_0_44,negated_conjecture,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& xr = sdtasdt0(xp,X1) )
| doDivides0(xp,xr)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
| doDivides0(xp,xm) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(i_0_45,hypothesis,
! [X186,X187,X188,X191] :
( ( aNaturalNumber0(esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| aNaturalNumber0(esk5_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| aNaturalNumber0(esk5_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| aNaturalNumber0(esk5_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| aNaturalNumber0(esk5_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| aNaturalNumber0(esk5_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| aNaturalNumber0(esk5_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| aNaturalNumber0(esk5_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| aNaturalNumber0(esk5_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| aNaturalNumber0(esk5_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| aNaturalNumber0(esk5_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| aNaturalNumber0(esk5_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| aNaturalNumber0(esk5_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| aNaturalNumber0(esk5_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| aNaturalNumber0(esk5_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| aNaturalNumber0(esk5_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| aNaturalNumber0(esk5_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| aNaturalNumber0(esk5_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| aNaturalNumber0(esk5_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| aNaturalNumber0(esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| aNaturalNumber0(esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| aNaturalNumber0(esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| aNaturalNumber0(esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| aNaturalNumber0(esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| aNaturalNumber0(esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| aNaturalNumber0(esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| aNaturalNumber0(esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| aNaturalNumber0(esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| aNaturalNumber0(esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| aNaturalNumber0(esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| aNaturalNumber0(esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| aNaturalNumber0(esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| aNaturalNumber0(esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| aNaturalNumber0(esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| aNaturalNumber0(esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| aNaturalNumber0(esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| aNaturalNumber0(esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| X188 = sdtasdt0(esk5_3(X186,X187,X188),esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| X188 = sdtasdt0(esk5_3(X186,X187,X188),esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| X188 = sdtasdt0(esk5_3(X186,X187,X188),esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| X188 = sdtasdt0(esk5_3(X186,X187,X188),esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| X188 = sdtasdt0(esk5_3(X186,X187,X188),esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| X188 = sdtasdt0(esk5_3(X186,X187,X188),esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| X188 = sdtasdt0(esk5_3(X186,X187,X188),esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| X188 = sdtasdt0(esk5_3(X186,X187,X188),esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| X188 = sdtasdt0(esk5_3(X186,X187,X188),esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| X188 = sdtasdt0(esk5_3(X186,X187,X188),esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| X188 = sdtasdt0(esk5_3(X186,X187,X188),esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| X188 = sdtasdt0(esk5_3(X186,X187,X188),esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| X188 = sdtasdt0(esk5_3(X186,X187,X188),esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| X188 = sdtasdt0(esk5_3(X186,X187,X188),esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| X188 = sdtasdt0(esk5_3(X186,X187,X188),esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| X188 = sdtasdt0(esk5_3(X186,X187,X188),esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| X188 = sdtasdt0(esk5_3(X186,X187,X188),esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| X188 = sdtasdt0(esk5_3(X186,X187,X188),esk6_3(X186,X187,X188))
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| doDivides0(esk5_3(X186,X187,X188),X188)
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| doDivides0(esk5_3(X186,X187,X188),X188)
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| doDivides0(esk5_3(X186,X187,X188),X188)
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| doDivides0(esk5_3(X186,X187,X188),X188)
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| doDivides0(esk5_3(X186,X187,X188),X188)
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| doDivides0(esk5_3(X186,X187,X188),X188)
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| doDivides0(esk5_3(X186,X187,X188),X188)
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| doDivides0(esk5_3(X186,X187,X188),X188)
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| doDivides0(esk5_3(X186,X187,X188),X188)
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| doDivides0(esk5_3(X186,X187,X188),X188)
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| doDivides0(esk5_3(X186,X187,X188),X188)
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| doDivides0(esk5_3(X186,X187,X188),X188)
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| doDivides0(esk5_3(X186,X187,X188),X188)
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| doDivides0(esk5_3(X186,X187,X188),X188)
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| doDivides0(esk5_3(X186,X187,X188),X188)
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| doDivides0(esk5_3(X186,X187,X188),X188)
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| doDivides0(esk5_3(X186,X187,X188),X188)
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| doDivides0(esk5_3(X186,X187,X188),X188)
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| esk5_3(X186,X187,X188) != sz10
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| esk5_3(X186,X187,X188) != sz10
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| esk5_3(X186,X187,X188) != sz10
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| esk5_3(X186,X187,X188) != sz10
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| esk5_3(X186,X187,X188) != sz10
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| esk5_3(X186,X187,X188) != sz10
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| esk5_3(X186,X187,X188) != sz10
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| esk5_3(X186,X187,X188) != sz10
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| esk5_3(X186,X187,X188) != sz10
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| esk5_3(X186,X187,X188) != sz10
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| esk5_3(X186,X187,X188) != sz10
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| esk5_3(X186,X187,X188) != sz10
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| esk5_3(X186,X187,X188) != sz10
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| esk5_3(X186,X187,X188) != sz10
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| esk5_3(X186,X187,X188) != sz10
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| esk5_3(X186,X187,X188) != sz10
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| esk5_3(X186,X187,X188) != sz10
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| esk5_3(X186,X187,X188) != sz10
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| esk5_3(X186,X187,X188) != X188
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| esk5_3(X186,X187,X188) != X188
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| esk5_3(X186,X187,X188) != X188
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| esk5_3(X186,X187,X188) != X188
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| esk5_3(X186,X187,X188) != X188
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| esk5_3(X186,X187,X188) != X188
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| esk5_3(X186,X187,X188) != X188
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| esk5_3(X186,X187,X188) != X188
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| esk5_3(X186,X187,X188) != X188
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| esk5_3(X186,X187,X188) != X188
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| esk5_3(X186,X187,X188) != X188
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| esk5_3(X186,X187,X188) != X188
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| esk5_3(X186,X187,X188) != X188
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| esk5_3(X186,X187,X188) != X188
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| esk5_3(X186,X187,X188) != X188
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| esk5_3(X186,X187,X188) != X188
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| esk5_3(X186,X187,X188) != X188
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| esk5_3(X186,X187,X188) != X188
| X188 = sz00
| X188 = sz10
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X191)
| sdtasdt0(X186,X187) != sdtasdt0(X188,X191)
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| aNaturalNumber0(esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| X186 = sdtasdt0(X188,esk7_3(X186,X187,X188))
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( aNaturalNumber0(esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( X187 = sdtasdt0(X188,esk8_3(X186,X187,X188))
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188) )
& ( doDivides0(X188,X187)
| doDivides0(X188,X186)
| ~ iLess0(sdtpldt0(sdtpldt0(X186,X187),X188),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X188,sdtasdt0(X186,X187))
| ~ isPrime0(X188)
| ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ 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)],[m__1799])])])])]) ).
fof(i_0_46,plain,
! [X121,X122,X123] :
( ( sdtasdt0(X121,sdtpldt0(X122,X123)) = sdtpldt0(sdtasdt0(X121,X122),sdtasdt0(X121,X123))
| ~ aNaturalNumber0(X121)
| ~ aNaturalNumber0(X122)
| ~ aNaturalNumber0(X123) )
& ( sdtasdt0(sdtpldt0(X122,X123),X121) = sdtpldt0(sdtasdt0(X122,X121),sdtasdt0(X123,X121))
| ~ aNaturalNumber0(X121)
| ~ aNaturalNumber0(X122)
| ~ aNaturalNumber0(X123) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
fof(i_0_47,plain,
! [X178,X179,X180] :
( ~ aNaturalNumber0(X178)
| ~ aNaturalNumber0(X179)
| X178 = sz00
| ~ doDivides0(X178,X179)
| ~ aNaturalNumber0(X180)
| sdtasdt0(X180,sdtsldt0(X179,X178)) = sdtsldt0(sdtasdt0(X180,X179),X178) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivAsso])])]) ).
fof(i_0_48,plain,
! [X173,X174,X175] :
( ~ aNaturalNumber0(X173)
| ~ aNaturalNumber0(X174)
| ~ aNaturalNumber0(X175)
| ~ doDivides0(X173,X174)
| ~ doDivides0(X173,sdtpldt0(X174,X175))
| doDivides0(X173,X175) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivMin])]) ).
fof(i_0_49,plain,
! [X152,X153,X154] :
( ( sdtasdt0(X152,X153) != sdtasdt0(X152,X154)
| X152 = sz00
| X153 = X154
| ~ sdtlseqdt0(X153,X154)
| ~ aNaturalNumber0(X152)
| ~ aNaturalNumber0(X153)
| ~ aNaturalNumber0(X154) )
& ( sdtlseqdt0(sdtasdt0(X152,X153),sdtasdt0(X152,X154))
| X152 = sz00
| X153 = X154
| ~ sdtlseqdt0(X153,X154)
| ~ aNaturalNumber0(X152)
| ~ aNaturalNumber0(X153)
| ~ aNaturalNumber0(X154) )
& ( sdtasdt0(X153,X152) != sdtasdt0(X154,X152)
| X152 = sz00
| X153 = X154
| ~ sdtlseqdt0(X153,X154)
| ~ aNaturalNumber0(X152)
| ~ aNaturalNumber0(X153)
| ~ aNaturalNumber0(X154) )
& ( sdtlseqdt0(sdtasdt0(X153,X152),sdtasdt0(X154,X152))
| X152 = sz00
| X153 = X154
| ~ sdtlseqdt0(X153,X154)
| ~ aNaturalNumber0(X152)
| ~ aNaturalNumber0(X153)
| ~ aNaturalNumber0(X154) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul])])]) ).
fof(i_0_50,plain,
! [X149,X150,X151] :
( ( sdtpldt0(X151,X149) != sdtpldt0(X151,X150)
| ~ aNaturalNumber0(X151)
| X149 = X150
| ~ sdtlseqdt0(X149,X150)
| ~ aNaturalNumber0(X149)
| ~ aNaturalNumber0(X150) )
& ( sdtlseqdt0(sdtpldt0(X151,X149),sdtpldt0(X151,X150))
| ~ aNaturalNumber0(X151)
| X149 = X150
| ~ sdtlseqdt0(X149,X150)
| ~ aNaturalNumber0(X149)
| ~ aNaturalNumber0(X150) )
& ( sdtpldt0(X149,X151) != sdtpldt0(X150,X151)
| ~ aNaturalNumber0(X151)
| X149 = X150
| ~ sdtlseqdt0(X149,X150)
| ~ aNaturalNumber0(X149)
| ~ aNaturalNumber0(X150) )
& ( sdtlseqdt0(sdtpldt0(X149,X151),sdtpldt0(X150,X151))
| ~ aNaturalNumber0(X151)
| X149 = X150
| ~ sdtlseqdt0(X149,X150)
| ~ aNaturalNumber0(X149)
| ~ aNaturalNumber0(X150) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonAdd])])])]) ).
fof(i_0_51,plain,
! [X170,X171,X172] :
( ~ aNaturalNumber0(X170)
| ~ aNaturalNumber0(X171)
| ~ aNaturalNumber0(X172)
| ~ doDivides0(X170,X171)
| ~ doDivides0(X170,X172)
| doDivides0(X170,sdtpldt0(X171,X172)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivSum])]) ).
fof(i_0_52,plain,
! [X116,X117,X118] :
( ~ aNaturalNumber0(X116)
| ~ aNaturalNumber0(X117)
| ~ aNaturalNumber0(X118)
| sdtasdt0(sdtasdt0(X116,X117),X118) = sdtasdt0(X116,sdtasdt0(X117,X118)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(i_0_53,plain,
! [X110,X111,X112] :
( ~ aNaturalNumber0(X110)
| ~ aNaturalNumber0(X111)
| ~ aNaturalNumber0(X112)
| sdtpldt0(sdtpldt0(X110,X111),X112) = sdtpldt0(X110,sdtpldt0(X111,X112)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(i_0_54,plain,
! [X164,X165,X166] :
( ( aNaturalNumber0(X166)
| X166 != sdtsldt0(X165,X164)
| X164 = sz00
| ~ doDivides0(X164,X165)
| ~ aNaturalNumber0(X164)
| ~ aNaturalNumber0(X165) )
& ( X165 = sdtasdt0(X164,X166)
| X166 != sdtsldt0(X165,X164)
| X164 = sz00
| ~ doDivides0(X164,X165)
| ~ aNaturalNumber0(X164)
| ~ aNaturalNumber0(X165) )
& ( ~ aNaturalNumber0(X166)
| X165 != sdtasdt0(X164,X166)
| X166 = sdtsldt0(X165,X164)
| X164 = sz00
| ~ doDivides0(X164,X165)
| ~ aNaturalNumber0(X164)
| ~ aNaturalNumber0(X165) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefQuot])])])]) ).
fof(i_0_55,plain,
! [X138,X139,X140] :
( ( aNaturalNumber0(X140)
| X140 != sdtmndt0(X139,X138)
| ~ sdtlseqdt0(X138,X139)
| ~ aNaturalNumber0(X138)
| ~ aNaturalNumber0(X139) )
& ( sdtpldt0(X138,X140) = X139
| X140 != sdtmndt0(X139,X138)
| ~ sdtlseqdt0(X138,X139)
| ~ aNaturalNumber0(X138)
| ~ aNaturalNumber0(X139) )
& ( ~ aNaturalNumber0(X140)
| sdtpldt0(X138,X140) != X139
| X140 = sdtmndt0(X139,X138)
| ~ sdtlseqdt0(X138,X139)
| ~ aNaturalNumber0(X138)
| ~ aNaturalNumber0(X139) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])]) ).
fof(i_0_56,plain,
! [X167,X168,X169] :
( ~ aNaturalNumber0(X167)
| ~ aNaturalNumber0(X168)
| ~ aNaturalNumber0(X169)
| ~ doDivides0(X167,X168)
| ~ doDivides0(X168,X169)
| doDivides0(X167,X169) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])]) ).
fof(i_0_57,plain,
! [X144,X145,X146] :
( ~ aNaturalNumber0(X144)
| ~ aNaturalNumber0(X145)
| ~ aNaturalNumber0(X146)
| ~ sdtlseqdt0(X144,X145)
| ~ sdtlseqdt0(X145,X146)
| sdtlseqdt0(X144,X146) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETran])]) ).
fof(i_0_58,plain,
! [X134,X135,X137] :
( ( aNaturalNumber0(esk1_2(X134,X135))
| ~ sdtlseqdt0(X134,X135)
| ~ aNaturalNumber0(X134)
| ~ aNaturalNumber0(X135) )
& ( sdtpldt0(X134,esk1_2(X134,X135)) = X135
| ~ sdtlseqdt0(X134,X135)
| ~ aNaturalNumber0(X134)
| ~ aNaturalNumber0(X135) )
& ( ~ aNaturalNumber0(X137)
| sdtpldt0(X134,X137) != X135
| sdtlseqdt0(X134,X135)
| ~ aNaturalNumber0(X134)
| ~ aNaturalNumber0(X135) ) ),
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_59,plain,
! [X160,X161,X163] :
( ( aNaturalNumber0(esk2_2(X160,X161))
| ~ doDivides0(X160,X161)
| ~ aNaturalNumber0(X160)
| ~ aNaturalNumber0(X161) )
& ( X161 = sdtasdt0(X160,esk2_2(X160,X161))
| ~ doDivides0(X160,X161)
| ~ aNaturalNumber0(X160)
| ~ aNaturalNumber0(X161) )
& ( ~ aNaturalNumber0(X163)
| X161 != sdtasdt0(X160,X163)
| doDivides0(X160,X161)
| ~ aNaturalNumber0(X160)
| ~ aNaturalNumber0(X161) ) ),
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_60,plain,
! [X127,X128,X129] :
( ( sdtasdt0(X127,X128) != sdtasdt0(X127,X129)
| X128 = X129
| ~ aNaturalNumber0(X128)
| ~ aNaturalNumber0(X129)
| X127 = sz00
| ~ aNaturalNumber0(X127) )
& ( sdtasdt0(X128,X127) != sdtasdt0(X129,X127)
| X128 = X129
| ~ aNaturalNumber0(X128)
| ~ aNaturalNumber0(X129)
| X127 = sz00
| ~ aNaturalNumber0(X127) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulCanc])])])]) ).
fof(i_0_61,plain,
! [X124,X125,X126] :
( ( sdtpldt0(X124,X125) != sdtpldt0(X124,X126)
| X125 = X126
| ~ aNaturalNumber0(X124)
| ~ aNaturalNumber0(X125)
| ~ aNaturalNumber0(X126) )
& ( sdtpldt0(X125,X124) != sdtpldt0(X126,X124)
| X125 = X126
| ~ aNaturalNumber0(X124)
| ~ aNaturalNumber0(X125)
| ~ aNaturalNumber0(X126) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddCanc])])]) ).
fof(i_0_62,plain,
! [X142,X143] :
( ~ aNaturalNumber0(X142)
| ~ aNaturalNumber0(X143)
| ~ sdtlseqdt0(X142,X143)
| ~ sdtlseqdt0(X143,X142)
| X142 = X143 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])]) ).
fof(i_0_63,plain,
! [X156,X157] :
( ~ aNaturalNumber0(X156)
| ~ aNaturalNumber0(X157)
| X156 = sz00
| sdtlseqdt0(X157,sdtasdt0(X157,X156)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul2])]) ).
fof(i_0_64,plain,
! [X158,X159] :
( ~ aNaturalNumber0(X158)
| ~ aNaturalNumber0(X159)
| X158 = X159
| ~ sdtlseqdt0(X158,X159)
| iLess0(X158,X159) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH_03])]) ).
fof(i_0_65,plain,
! [X176,X177] :
( ~ aNaturalNumber0(X176)
| ~ aNaturalNumber0(X177)
| ~ doDivides0(X176,X177)
| X177 = sz00
| sdtlseqdt0(X176,X177) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivLE])]) ).
fof(i_0_66,plain,
! [X181,X182] :
( ( X181 != sz00
| ~ isPrime0(X181)
| ~ aNaturalNumber0(X181) )
& ( X181 != sz10
| ~ isPrime0(X181)
| ~ aNaturalNumber0(X181) )
& ( ~ aNaturalNumber0(X182)
| ~ doDivides0(X182,X181)
| X182 = sz10
| X182 = X181
| ~ isPrime0(X181)
| ~ aNaturalNumber0(X181) )
& ( aNaturalNumber0(esk3_1(X181))
| X181 = sz00
| X181 = sz10
| isPrime0(X181)
| ~ aNaturalNumber0(X181) )
& ( doDivides0(esk3_1(X181),X181)
| X181 = sz00
| X181 = sz10
| isPrime0(X181)
| ~ aNaturalNumber0(X181) )
& ( esk3_1(X181) != sz10
| X181 = sz00
| X181 = sz10
| isPrime0(X181)
| ~ aNaturalNumber0(X181) )
& ( esk3_1(X181) != X181
| X181 = sz00
| X181 = sz10
| isPrime0(X181)
| ~ aNaturalNumber0(X181) ) ),
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_67,plain,
! [X106,X107] :
( ~ aNaturalNumber0(X106)
| ~ aNaturalNumber0(X107)
| aNaturalNumber0(sdtasdt0(X106,X107)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(i_0_68,plain,
! [X104,X105] :
( ~ aNaturalNumber0(X104)
| ~ aNaturalNumber0(X105)
| aNaturalNumber0(sdtpldt0(X104,X105)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(i_0_69,plain,
! [X147,X148] :
( ( X148 != X147
| sdtlseqdt0(X147,X148)
| ~ aNaturalNumber0(X147)
| ~ aNaturalNumber0(X148) )
& ( sdtlseqdt0(X148,X147)
| sdtlseqdt0(X147,X148)
| ~ aNaturalNumber0(X147)
| ~ aNaturalNumber0(X148) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETotal])])]) ).
fof(i_0_70,plain,
! [X114,X115] :
( ~ aNaturalNumber0(X114)
| ~ aNaturalNumber0(X115)
| sdtasdt0(X114,X115) = sdtasdt0(X115,X114) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(i_0_71,plain,
! [X108,X109] :
( ~ aNaturalNumber0(X108)
| ~ aNaturalNumber0(X109)
| sdtpldt0(X108,X109) = sdtpldt0(X109,X108) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
fof(i_0_72,plain,
! [X132,X133] :
( ~ aNaturalNumber0(X132)
| ~ aNaturalNumber0(X133)
| sdtasdt0(X132,X133) != sz00
| X132 = sz00
| X133 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroMul])]) ).
fof(i_0_73,hypothesis,
! [X194,X195] :
( xp != sz00
& xp != sz10
& ( ~ aNaturalNumber0(X195)
| xp != sdtasdt0(X194,X195)
| ~ aNaturalNumber0(X194)
| X194 = sz10
| X194 = xp )
& ( ~ doDivides0(X194,xp)
| ~ aNaturalNumber0(X194)
| X194 = sz10
| X194 = 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_74,plain,
! [X130,X131] :
( ( X130 = sz00
| sdtpldt0(X130,X131) != sz00
| ~ aNaturalNumber0(X130)
| ~ aNaturalNumber0(X131) )
& ( X131 = sz00
| sdtpldt0(X130,X131) != sz00
| ~ aNaturalNumber0(X130)
| ~ aNaturalNumber0(X131) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroAdd])])]) ).
fof(i_0_75,hypothesis,
( aNaturalNumber0(esk12_0)
& sdtasdt0(xr,xm) = sdtasdt0(xp,esk12_0)
& doDivides0(xp,sdtasdt0(xr,xm)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__1913])]) ).
fof(i_0_76,plain,
! [X184] :
( ( aNaturalNumber0(esk4_1(X184))
| ~ aNaturalNumber0(X184)
| X184 = sz00
| X184 = sz10 )
& ( doDivides0(esk4_1(X184),X184)
| ~ aNaturalNumber0(X184)
| X184 = sz00
| X184 = sz10 )
& ( isPrime0(esk4_1(X184))
| ~ aNaturalNumber0(X184)
| X184 = sz00
| X184 = sz10 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPrimDiv])])])]) ).
fof(i_0_77,negated_conjecture,
! [X200,X201] :
( ( ~ aNaturalNumber0(X200)
| xr != sdtasdt0(xp,X200) )
& ~ doDivides0(xp,xr)
& ( ~ aNaturalNumber0(X201)
| xm != sdtasdt0(xp,X201) )
& ~ doDivides0(xp,xm) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_44])])]) ).
fof(i_0_78,plain,
! [X155] :
( ( sz10 != X155
| X155 = sz00
| X155 = sz10
| ~ aNaturalNumber0(X155) )
& ( sdtlseqdt0(sz10,X155)
| X155 = sz00
| X155 = sz10
| ~ aNaturalNumber0(X155) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLENTr])])]) ).
fof(i_0_79,plain,
! [X141] :
( ~ aNaturalNumber0(X141)
| sdtlseqdt0(X141,X141) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERefl])]) ).
fof(i_0_80,plain,
! [X119] :
( ( sdtasdt0(X119,sz10) = X119
| ~ aNaturalNumber0(X119) )
& ( X119 = sdtasdt0(sz10,X119)
| ~ aNaturalNumber0(X119) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).
fof(i_0_81,plain,
! [X113] :
( ( sdtpldt0(X113,sz00) = X113
| ~ aNaturalNumber0(X113) )
& ( X113 = sdtpldt0(sz00,X113)
| ~ aNaturalNumber0(X113) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])]) ).
fof(i_0_82,plain,
! [X120] :
( ( sdtasdt0(X120,sz00) = sz00
| ~ aNaturalNumber0(X120) )
& ( sz00 = sdtasdt0(sz00,X120)
| ~ aNaturalNumber0(X120) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])]) ).
fof(i_0_83,hypothesis,
( xr != xn
& aNaturalNumber0(esk11_0)
& sdtpldt0(xr,esk11_0) = xn
& sdtlseqdt0(xr,xn) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__1894])]) ).
fof(i_0_84,hypothesis,
( aNaturalNumber0(esk10_0)
& sdtpldt0(xp,esk10_0) = xn
& sdtlseqdt0(xp,xn) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__1870])]) ).
cnf(i_0_85,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_45]),
[final] ).
cnf(i_0_86,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_45]),
[final] ).
cnf(i_0_87,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_45]),
[final] ).
cnf(i_0_88,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_45]),
[final] ).
cnf(i_0_89,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_45]),
[final] ).
cnf(i_0_90,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_45]),
[final] ).
cnf(i_0_91,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_45]),
[final] ).
cnf(i_0_92,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_45]),
[final] ).
cnf(i_0_93,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_45]),
[final] ).
cnf(i_0_94,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_45]),
[final] ).
cnf(i_0_95,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_45]),
[final] ).
cnf(i_0_96,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_45]),
[final] ).
cnf(i_0_97,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_45]),
[final] ).
cnf(i_0_98,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_45]),
[final] ).
cnf(i_0_99,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_45]),
[final] ).
cnf(i_0_100,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_45]),
[final] ).
cnf(i_0_101,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_45]),
[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))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[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))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[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))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_105,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_45]),
[final] ).
cnf(i_0_106,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_45]),
[final] ).
cnf(i_0_107,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_45]),
[final] ).
cnf(i_0_108,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_45]),
[final] ).
cnf(i_0_109,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_45]),
[final] ).
cnf(i_0_110,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_45]),
[final] ).
cnf(i_0_111,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_45]),
[final] ).
cnf(i_0_112,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_45]),
[final] ).
cnf(i_0_113,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_45]),
[final] ).
cnf(i_0_114,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_45]),
[final] ).
cnf(i_0_115,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_45]),
[final] ).
cnf(i_0_116,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_45]),
[final] ).
cnf(i_0_117,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_45]),
[final] ).
cnf(i_0_118,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_45]),
[final] ).
cnf(i_0_119,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_45]),
[final] ).
cnf(i_0_120,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_45]),
[final] ).
cnf(i_0_121,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_45]),
[final] ).
cnf(i_0_122,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_45]),
[final] ).
cnf(i_0_123,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_45]),
[final] ).
cnf(i_0_124,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_45]),
[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))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[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))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_127,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_45]),
[final] ).
cnf(i_0_128,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_45]),
[final] ).
cnf(i_0_129,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_45]),
[final] ).
cnf(i_0_130,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_45]),
[final] ).
cnf(i_0_131,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ 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_45]),
[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))
| ~ 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_45]),
[final] ).
cnf(i_0_133,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_45]),
[final] ).
cnf(i_0_134,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_45]),
[final] ).
cnf(i_0_135,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ 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_45]),
[final] ).
cnf(i_0_136,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ 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_45]),
[final] ).
cnf(i_0_137,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ 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_45]),
[final] ).
cnf(i_0_138,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ 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_45]),
[final] ).
cnf(i_0_139,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_45]),
[final] ).
cnf(i_0_140,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_45]),
[final] ).
cnf(i_0_141,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_45]),
[final] ).
cnf(i_0_142,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_45]),
[final] ).
cnf(i_0_143,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_45]),
[final] ).
cnf(i_0_144,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_45]),
[final] ).
cnf(i_0_145,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_45]),
[final] ).
cnf(i_0_146,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_45]),
[final] ).
cnf(i_0_147,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_45]),
[final] ).
cnf(i_0_148,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_45]),
[final] ).
cnf(i_0_149,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_45]),
[final] ).
cnf(i_0_150,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_45]),
[final] ).
cnf(i_0_151,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_45]),
[final] ).
cnf(i_0_152,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_45]),
[final] ).
cnf(i_0_153,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_45]),
[final] ).
cnf(i_0_154,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_45]),
[final] ).
cnf(i_0_155,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_45]),
[final] ).
cnf(i_0_156,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_45]),
[final] ).
cnf(i_0_157,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_45]),
[final] ).
cnf(i_0_158,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_45]),
[final] ).
cnf(i_0_159,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_45]),
[final] ).
cnf(i_0_160,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_45]),
[final] ).
cnf(i_0_161,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_45]),
[final] ).
cnf(i_0_162,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_45]),
[final] ).
cnf(i_0_163,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_45]),
[final] ).
cnf(i_0_164,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_45]),
[final] ).
cnf(i_0_165,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_45]),
[final] ).
cnf(i_0_166,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_45]),
[final] ).
cnf(i_0_167,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_45]),
[final] ).
cnf(i_0_168,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_45]),
[final] ).
cnf(i_0_169,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_45]),
[final] ).
cnf(i_0_170,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_45]),
[final] ).
cnf(i_0_171,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_45]),
[final] ).
cnf(i_0_172,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_45]),
[final] ).
cnf(i_0_173,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_45]),
[final] ).
cnf(i_0_174,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_45]),
[final] ).
cnf(i_0_175,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_45]),
[final] ).
cnf(i_0_176,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_45]),
[final] ).
cnf(i_0_177,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_45]),
[final] ).
cnf(i_0_178,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_45]),
[final] ).
cnf(i_0_179,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_45]),
[final] ).
cnf(i_0_180,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_45]),
[final] ).
cnf(i_0_181,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_45]),
[final] ).
cnf(i_0_182,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_45]),
[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))
| ~ 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_45]),
[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))
| ~ 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_45]),
[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))
| ~ 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_45]),
[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))
| ~ 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_45]),
[final] ).
cnf(i_0_187,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ 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_45]),
[final] ).
cnf(i_0_188,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ 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_45]),
[final] ).
cnf(i_0_189,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ 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_45]),
[final] ).
cnf(i_0_190,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ 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_45]),
[final] ).
cnf(i_0_191,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_45]),
[final] ).
cnf(i_0_192,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_45]),
[final] ).
cnf(i_0_193,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_45]),
[final] ).
cnf(i_0_194,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_45]),
[final] ).
cnf(i_0_195,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_45]),
[final] ).
cnf(i_0_196,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_45]),
[final] ).
cnf(i_0_197,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_45]),
[final] ).
cnf(i_0_198,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_45]),
[final] ).
cnf(i_0_199,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_45]),
[final] ).
cnf(i_0_200,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_45]),
[final] ).
cnf(i_0_201,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_45]),
[final] ).
cnf(i_0_202,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_45]),
[final] ).
cnf(i_0_203,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_45]),
[final] ).
cnf(i_0_204,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_45]),
[final] ).
cnf(i_0_205,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_45]),
[final] ).
cnf(i_0_206,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_45]),
[final] ).
cnf(i_0_207,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_45]),
[final] ).
cnf(i_0_208,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_45]),
[final] ).
cnf(i_0_209,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_45]),
[final] ).
cnf(i_0_210,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_45]),
[final] ).
cnf(i_0_211,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_46]),
[final] ).
cnf(i_0_212,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_46]),
[final] ).
cnf(i_0_213,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_47]),
[final] ).
cnf(i_0_214,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_48]),
[final] ).
cnf(i_0_215,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_49]),
[final] ).
cnf(i_0_216,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_49]),
[final] ).
cnf(i_0_217,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_50]),
[final] ).
cnf(i_0_218,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_50]),
[final] ).
cnf(i_0_219,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_51]),
[final] ).
cnf(i_0_220,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_221,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_222,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_49]),
[final] ).
cnf(i_0_223,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_49]),
[final] ).
cnf(i_0_224,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_50]),
[final] ).
cnf(i_0_225,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_50]),
[final] ).
cnf(i_0_226,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_54]),
[final] ).
cnf(i_0_227,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_55]),
[final] ).
cnf(i_0_228,plain,
( doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_229,plain,
( sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_230,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_231,plain,
( X1 = sdtasdt0(X2,esk2_2(X2,X1))
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_232,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_54]),
[final] ).
cnf(i_0_233,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_234,plain,
( X1 = X3
| X2 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_235,plain,
( X2 = X3
| X1 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_236,plain,
( X1 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_237,plain,
( X2 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_238,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_239,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_240,plain,
( aNaturalNumber0(X1)
| X3 = sz00
| X1 != sdtsldt0(X2,X3)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_241,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_242,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_243,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_244,plain,
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_245,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_246,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_247,plain,
( X2 = sz00
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_248,plain,
( X1 = sz10
| X1 = X2
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_249,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_250,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_251,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_252,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_253,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_254,plain,
( X1 = sz00
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_255,hypothesis,
( X2 = sz10
| X2 = xp
| ~ aNaturalNumber0(X1)
| xp != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_256,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_257,plain,
( X1 = sz00
| sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_258,plain,
( doDivides0(esk3_1(X1),X1)
| X1 = sz00
| X1 = sz10
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_259,hypothesis,
doDivides0(xp,sdtasdt0(xr,xm)),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_260,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_261,plain,
( sdtlseqdt0(X2,X1)
| X1 != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_262,plain,
( doDivides0(esk4_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_263,hypothesis,
( X1 = sz10
| X1 = xp
| ~ doDivides0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_264,negated_conjecture,
( ~ aNaturalNumber0(X1)
| xr != sdtasdt0(xp,X1) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_265,negated_conjecture,
( ~ aNaturalNumber0(X1)
| xm != sdtasdt0(xp,X1) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_266,plain,
( aNaturalNumber0(esk3_1(X1))
| X1 = sz00
| X1 = sz10
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_267,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| esk3_1(X1) != X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_268,plain,
( sdtlseqdt0(sz10,X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_269,hypothesis,
sdtasdt0(xr,xm) = sdtasdt0(xp,esk12_0),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_270,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,esk9_0),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_271,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| esk3_1(X1) != sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_272,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_273,plain,
( isPrime0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_274,plain,
( aNaturalNumber0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_275,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_276,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_277,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_278,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_279,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_280,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_281,negated_conjecture,
~ doDivides0(xp,xr),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_282,negated_conjecture,
~ doDivides0(xp,xm),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_283,plain,
( X1 != sz10
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_284,plain,
( X1 != sz00
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_285,hypothesis,
sdtlseqdt0(xr,xn),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_286,hypothesis,
sdtlseqdt0(xp,xn),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_287,hypothesis,
sdtpldt0(xr,esk11_0) = xn,
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_288,hypothesis,
sdtpldt0(xp,esk10_0) = xn,
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_289,hypothesis,
sdtpldt0(xp,xr) = xn,
inference(split_conjunct,[status(thm)],[m__1883]),
[final] ).
cnf(i_0_290,hypothesis,
xr = sdtmndt0(xn,xp),
inference(split_conjunct,[status(thm)],[m__1883]),
[final] ).
cnf(i_0_291,hypothesis,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_292,hypothesis,
aNaturalNumber0(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_293,hypothesis,
aNaturalNumber0(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_294,hypothesis,
aNaturalNumber0(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_295,hypothesis,
aNaturalNumber0(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_296,hypothesis,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[m__1883]),
[final] ).
cnf(i_0_297,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_298,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_299,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_300,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_301,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]),
[final] ).
cnf(i_0_302,hypothesis,
xr != xn,
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_303,hypothesis,
xp != sz10,
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_304,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_305,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_306,axiom,
X1 = X1 ).
cnf(i_0_307,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_308,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_309,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_310,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_311,axiom,
( X1 != X2
| esk3_1(X1) = esk3_1(X2) ) ).
cnf(i_0_312,axiom,
( X1 != X2
| esk5_3(X1,X3,X4) = esk5_3(X2,X3,X4) ) ).
cnf(i_0_313,axiom,
( X1 != X2
| esk5_3(X3,X1,X4) = esk5_3(X3,X2,X4) ) ).
cnf(i_0_314,axiom,
( X1 != X2
| esk5_3(X3,X4,X1) = esk5_3(X3,X4,X2) ) ).
cnf(i_0_315,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_316,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_317,axiom,
( X1 != X2
| sdtsldt0(X1,X3) = sdtsldt0(X2,X3) ) ).
cnf(i_0_318,axiom,
( X1 != X2
| sdtsldt0(X3,X1) = sdtsldt0(X3,X2) ) ).
cnf(i_0_319,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_320,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_321,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_322,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_323,axiom,
( X1 != X2
| ~ doDivides0(X1,X3)
| doDivides0(X2,X3) ) ).
cnf(i_0_324,axiom,
( X1 != X2
| ~ doDivides0(X3,X1)
| doDivides0(X3,X2) ) ).
cnf(i_0_325,axiom,
( X1 != X2
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X2) ) ).
cnf(i_0_326,axiom,
( X1 != X2
| ~ isPrime0(X1)
| isPrime0(X2) ) ).
cnf(i_0_327,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_328,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_1162,plain,
sdtlseqdt0(sdtmndt0(sdtpldt0(sz00,sdtmndt0(sz00,sz00)),sz00),sz00),
inference(scs_inference,[],[i_0_301,i_0_941,i_0_1142,i_0_304,i_0_940,i_0_272,i_0_307,i_0_284,i_0_308,i_0_261]) ).
cnf(i_0_1200,plain,
sdtlseqdt0(sdtmndt0(sdtpldt0(sz00,sdtmndt0(sz00,sz00)),sz00),sdtmndt0(sz00,sz00)),
inference(scs_inference,[],[i_0_664,i_0_1142,i_0_922,i_0_750,i_0_1038,i_0_272,i_0_307,i_0_261]) ).
cnf(i_0_1242,plain,
sdtpldt0(sdtmndt0(xp,xp),sdtmndt0(sdtmndt0(xp,xp),sdtmndt0(xp,xp))) = sdtmndt0(xp,xp),
inference(equality_inference,[],[1224]) ).
cnf(i_0_1243,plain,
sdtpldt0(xp,sdtpldt0(sdtmndt0(xp,xp),sdtmndt0(sdtmndt0(xp,xp),sdtmndt0(xp,xp)))) = xp,
inference(equality_inference,[],[1225]) ).
cnf(i_0_1253,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(xn,xn),sdtmndt0(xn,xn))),
inference(equality_inference,[],[1249]) ).
cnf(i_0_1276,plain,
sdtpldt0(sdtmndt0(xn,xr),sdtmndt0(esk11_0,sdtmndt0(xn,xr))) = sdtmndt0(xn,xr),
inference(equality_inference,[],[1258]) ).
cnf(i_0_1277,plain,
sdtpldt0(xr,sdtpldt0(sdtmndt0(xn,xr),sdtmndt0(esk11_0,sdtmndt0(xn,xr)))) = xn,
inference(equality_inference,[],[1259]) ).
cnf(i_0_1292,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(xp,xp),sdtmndt0(xp,xp))),
inference(equality_inference,[],[1282]) ).
cnf(i_0_1306,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(esk11_0,esk11_0),sdtmndt0(esk11_0,esk11_0))),
inference(equality_inference,[],[1296]) ).
cnf(i_0_1323,plain,
sdtpldt0(sdtmndt0(xn,xr),sdtmndt0(esk11_0,sdtmndt0(xn,xr))) = esk11_0,
inference(scs_inference,[],[i_0_1279,i_0_307]) ).
cnf(i_0_1324,plain,
sdtlseqdt0(sdtmndt0(sdtmndt0(xn,xr),sdtmndt0(xn,xr)),sdtmndt0(esk11_0,sdtmndt0(xn,xr))),
inference(scs_inference,[],[i_0_689,i_0_978,i_0_1171,i_0_1279,i_0_307,i_0_261]) ).
cnf(i_0_1357,plain,
sdtlseqdt0(sdtmndt0(sz00,sz00),sdtmndt0(sdtpldt0(sz00,sdtmndt0(sz00,sz00)),sz00)),
inference(scs_inference,[],[i_0_664,i_0_1142,i_0_1139,i_0_261]) ).
cnf(i_0_1374,plain,
sdtlseqdt0(sz00,sdtmndt0(sdtpldt0(sz00,sdtmndt0(sz00,sz00)),sz00)),
inference(scs_inference,[],[i_0_301,i_0_1142,i_0_1158,i_0_261]) ).
cnf(i_0_1452,plain,
sdtlseqdt0(esk11_0,sdtpldt0(esk11_0,sdtmndt0(sdtmndt0(xn,xr),esk11_0))),
inference(scs_inference,[],[i_0_293,i_0_1445,i_0_928,i_0_261]) ).
cnf(i_0_1464,plain,
sdtlseqdt0(sdtpldt0(sdtmndt0(xp,xp),sdtmndt0(sdtmndt0(xp,xp),sdtmndt0(xp,xp))),sdtmndt0(xp,xp)),
inference(scs_inference,[],[i_0_789,i_0_1078,i_0_1246,i_0_261]) ).
cnf(i_0_1476,plain,
sdtlseqdt0(sdtpldt0(sdtmndt0(xn,xr),sdtmndt0(esk11_0,sdtmndt0(xn,xr))),esk11_0),
inference(scs_inference,[],[i_0_293,i_0_1176,i_0_1279,i_0_261]) ).
cnf(i_0_1483,plain,
sdtlseqdt0(sdtpldt0(sdtmndt0(xn,xr),sdtmndt0(esk11_0,sdtmndt0(xn,xr))),sdtmndt0(xn,xr)),
inference(scs_inference,[],[i_0_424,i_0_1176,i_0_1278,i_0_261]) ).
cnf(i_0_1511,plain,
sdtlseqdt0(sdtpldt0(esk11_0,sdtmndt0(sdtmndt0(xn,xr),esk11_0)),esk11_0),
inference(scs_inference,[],[i_0_293,i_0_1445,i_0_1071,i_0_261]) ).
cnf(i_0_1515,plain,
sdtlseqdt0(sdtmndt0(xn,xr),sdtpldt0(esk11_0,sdtmndt0(sdtmndt0(xn,xr),esk11_0))),
inference(scs_inference,[],[i_0_424,i_0_1445,i_0_1442,i_0_261]) ).
cnf(i_0_1518,plain,
sdtlseqdt0(sdtpldt0(esk11_0,sdtmndt0(sdtmndt0(xn,xr),esk11_0)),sdtmndt0(xn,xr)),
inference(scs_inference,[],[i_0_424,i_0_1445,i_0_1447,i_0_261]) ).
cnf(i_0_1168,plain,
aNaturalNumber0(sdtmndt0(xp,xp)),
inference(equality_inference,[],[1164]) ).
cnf(i_0_1411,plain,
sdtlseqdt0(esk11_0,sdtpldt0(sdtmndt0(xn,xr),sdtmndt0(esk11_0,sdtmndt0(xn,xr)))),
inference(scs_inference,[],[i_0_293,i_0_1176,i_0_1323,i_0_261]) ).
cnf(i_0_1638,plain,
aNaturalNumber0(sdtmndt0(sdtpldt0(xp,sdtmndt0(xp,xp)),xp)),
inference(scs_inference,[],[i_0_789,i_0_856,i_0_297,i_0_947,i_0_305,i_0_858,i_0_308,i_0_375,i_0_1164]) ).
cnf(i_0_1639,plain,
sdtmndt0(sdtpldt0(xp,sdtmndt0(xp,xp)),xp) = sdtmndt0(xp,xp),
inference(scs_inference,[],[i_0_789,i_0_856,i_0_297,i_0_947,i_0_305,i_0_858,i_0_308,i_0_375,i_0_1164,i_0_307]) ).
cnf(i_0_1640,plain,
sdtlseqdt0(sdtmndt0(sdtpldt0(xp,sdtmndt0(xp,xp)),xp),sdtmndt0(xp,xp)),
inference(scs_inference,[],[i_0_789,i_0_856,i_0_297,i_0_947,i_0_305,i_0_858,i_0_308,i_0_375,i_0_1164,i_0_307,i_0_261]) ).
cnf(i_0_1690,plain,
sdtpldt0(xp,sdtmndt0(xp,xp)) != sdtmndt0(sdtpldt0(sz00,sdtmndt0(sz00,sz00)),sz00),
inference(scs_inference,[],[i_0_860,i_0_1159,i_0_326]) ).
cnf(i_0_1693,plain,
doDivides0(esk4_1(sdtpldt0(xp,sdtmndt0(xp,xp))),sdtpldt0(xp,sdtmndt0(xp,xp))),
inference(scs_inference,[],[i_0_856,i_0_900,i_0_793,i_0_801,i_0_905,i_0_919,i_0_1650,i_0_860,i_0_1159,i_0_326,i_0_323,i_0_308,i_0_262]) ).
cnf(i_0_1703,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(sdtmndt0(xn,xr),esk11_0),sdtmndt0(esk11_0,esk11_0))),
inference(scs_inference,[],[i_0_424,i_0_711,i_0_427,i_0_901,i_0_856,i_0_815,i_0_689,i_0_697,i_0_907,i_0_900,i_0_793,i_0_801,i_0_905,i_0_919,i_0_1650,i_0_860,i_0_449,i_0_1140,i_0_791,i_0_1159,i_0_326,i_0_323,i_0_308,i_0_262,i_0_383,i_0_261,i_0_375,i_0_227,i_0_1296]) ).
cnf(i_0_1652,plain,
sdtlseqdt0(sdtmndt0(xp,xp),sdtmndt0(sdtpldt0(xp,sdtmndt0(xp,xp)),xp)),
inference(scs_inference,[],[i_0_789,i_0_1638,i_0_666,i_0_305,i_0_431,i_0_426,i_0_1639,i_0_324,i_0_308,i_0_261]) ).
cnf(i_0_1733,plain,
xr != sdtasdt0(xp,sdtmndt0(sdtmndt0(sdtmndt0(xn,xr),esk11_0),sdtmndt0(esk11_0,esk11_0))),
inference(scs_inference,[],[i_0_1703,i_0_1598,i_0_507,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264]) ).
cnf(i_0_1735,plain,
xm != sdtasdt0(xp,sdtmndt0(sdtmndt0(sdtmndt0(xn,xr),esk11_0),sdtmndt0(esk11_0,esk11_0))),
inference(scs_inference,[],[i_0_1703,i_0_1598,i_0_507,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265]) ).
cnf(i_0_1737,plain,
sdtasdt0(sdtmndt0(sdtmndt0(sdtmndt0(xn,xr),esk11_0),sdtmndt0(esk11_0,esk11_0)),sz00) = sz00,
inference(scs_inference,[],[i_0_1703,i_0_1598,i_0_507,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279]) ).
cnf(i_0_1739,plain,
sz00 = sdtasdt0(sz00,sdtmndt0(sdtmndt0(sdtmndt0(xn,xr),esk11_0),sdtmndt0(esk11_0,esk11_0))),
inference(scs_inference,[],[i_0_1703,i_0_1598,i_0_507,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280]) ).
cnf(i_0_1741,plain,
sdtmndt0(sdtpldt0(esk11_0,sdtmndt0(esk11_0,esk11_0)),esk11_0) = sdtmndt0(sdtmndt0(xn,xr),esk11_0),
inference(scs_inference,[],[i_0_1703,i_0_1598,i_0_507,i_0_1307,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883]) ).
cnf(i_0_1742,plain,
sdtpldt0(esk11_0,sdtmndt0(esk11_0,sdtmndt0(xn,xr))) = sdtmndt0(xn,xr),
inference(scs_inference,[],[i_0_1703,i_0_1598,i_0_507,i_0_1307,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884]) ).
cnf(i_0_1744,plain,
sdtpldt0(xr,sdtmndt0(xn,xr)) = xn,
inference(scs_inference,[],[i_0_1703,i_0_1598,i_0_507,i_0_1278,i_0_1307,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259]) ).
cnf(i_0_1746,plain,
sdtpldt0(sdtmndt0(xn,xr),X1) = sdtpldt0(esk11_0,X1),
inference(scs_inference,[],[i_0_1703,i_0_1598,i_0_507,i_0_1278,i_0_1307,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315]) ).
cnf(i_0_1747,plain,
xm != sdtasdt0(xr,xm),
inference(scs_inference,[],[i_0_473,i_0_1703,i_0_1598,i_0_507,i_0_1278,i_0_1307,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307]) ).
cnf(i_0_1750,plain,
aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtmndt0(xn,xn)),sdtpldt0(xn,sdtmndt0(xn,xn)))),
inference(scs_inference,[],[i_0_473,i_0_1169,i_0_1703,i_0_1701,i_0_1598,i_0_507,i_0_1278,i_0_1307,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249]) ).
cnf(i_0_1752,plain,
aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtmndt0(xn,xn)),sdtpldt0(xn,sdtmndt0(xn,xn)))),
inference(scs_inference,[],[i_0_473,i_0_1169,i_0_1703,i_0_1701,i_0_1598,i_0_507,i_0_1278,i_0_1307,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250]) ).
cnf(i_0_1754,plain,
doDivides0(sdtpldt0(xp,sdtmndt0(xp,xp)),sdtasdt0(xr,xm)),
inference(scs_inference,[],[i_0_473,i_0_1169,i_0_1703,i_0_1701,i_0_1598,i_0_507,i_0_1278,i_0_1307,i_0_855,i_0_259,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323]) ).
cnf(i_0_1755,plain,
doDivides0(esk4_1(xp),sdtpldt0(xp,sdtmndt0(xp,xp))),
inference(scs_inference,[],[i_0_401,i_0_473,i_0_1169,i_0_1703,i_0_1701,i_0_1598,i_0_507,i_0_1278,i_0_1307,i_0_855,i_0_259,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323,i_0_324]) ).
cnf(i_0_1756,plain,
sdtasdt0(xp,esk12_0) != xm,
inference(scs_inference,[],[i_0_401,i_0_473,i_0_1169,i_0_1703,i_0_1701,i_0_1598,i_0_507,i_0_1278,i_0_1307,i_0_855,i_0_269,i_0_259,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323,i_0_324,i_0_308]) ).
cnf(i_0_1757,plain,
aNaturalNumber0(esk1_2(sdtmndt0(xn,xp),xr)),
inference(scs_inference,[],[i_0_399,i_0_401,i_0_473,i_0_1169,i_0_1703,i_0_1701,i_0_1598,i_0_507,i_0_1278,i_0_1307,i_0_855,i_0_269,i_0_394,i_0_259,i_0_296,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323,i_0_324,i_0_308,i_0_239]) ).
cnf(i_0_1759,plain,
isPrime0(esk4_1(sdtpldt0(xp,sdtmndt0(xp,xp)))),
inference(scs_inference,[],[i_0_399,i_0_401,i_0_473,i_0_1169,i_0_1703,i_0_1701,i_0_1598,i_0_507,i_0_1278,i_0_1307,i_0_855,i_0_269,i_0_919,i_0_900,i_0_394,i_0_856,i_0_259,i_0_296,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323,i_0_324,i_0_308,i_0_239,i_0_273]) ).
cnf(i_0_1761,plain,
aNaturalNumber0(esk4_1(sdtpldt0(xp,sdtmndt0(xp,xp)))),
inference(scs_inference,[],[i_0_399,i_0_401,i_0_473,i_0_1169,i_0_1703,i_0_1701,i_0_1598,i_0_507,i_0_1278,i_0_1307,i_0_855,i_0_269,i_0_919,i_0_900,i_0_394,i_0_856,i_0_259,i_0_296,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323,i_0_324,i_0_308,i_0_239,i_0_273,i_0_274]) ).
cnf(i_0_1763,plain,
sdtpldt0(sz10,sdtmndt0(sdtmndt0(sdtmndt0(xn,xr),esk11_0),sdtmndt0(esk11_0,esk11_0))) != sz00,
inference(scs_inference,[],[i_0_399,i_0_401,i_0_473,i_0_1169,i_0_1703,i_0_1701,i_0_1598,i_0_507,i_0_1278,i_0_1307,i_0_855,i_0_269,i_0_919,i_0_900,i_0_394,i_0_856,i_0_305,i_0_259,i_0_296,i_0_300,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323,i_0_324,i_0_308,i_0_239,i_0_273,i_0_274,i_0_256]) ).
cnf(i_0_1765,plain,
sdtasdt0(sdtasdt0(esk10_0,esk10_0),esk10_0) = sdtasdt0(esk10_0,sdtasdt0(esk10_0,esk10_0)),
inference(scs_inference,[],[i_0_399,i_0_401,i_0_473,i_0_1169,i_0_1703,i_0_1701,i_0_1598,i_0_507,i_0_1278,i_0_1307,i_0_855,i_0_269,i_0_919,i_0_900,i_0_394,i_0_856,i_0_294,i_0_305,i_0_259,i_0_296,i_0_300,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323,i_0_324,i_0_308,i_0_239,i_0_273,i_0_274,i_0_256,i_0_220]) ).
cnf(i_0_1767,plain,
sdtpldt0(sdtpldt0(esk10_0,esk10_0),esk10_0) = sdtpldt0(esk10_0,sdtpldt0(esk10_0,esk10_0)),
inference(scs_inference,[],[i_0_399,i_0_401,i_0_473,i_0_1169,i_0_1703,i_0_1701,i_0_1598,i_0_507,i_0_1278,i_0_1307,i_0_855,i_0_269,i_0_919,i_0_900,i_0_394,i_0_856,i_0_294,i_0_305,i_0_259,i_0_296,i_0_300,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323,i_0_324,i_0_308,i_0_239,i_0_273,i_0_274,i_0_256,i_0_220,i_0_221]) ).
cnf(i_0_1773,plain,
sdtlseqdt0(esk1_2(sdtmndt0(xn,xp),xr),esk1_2(sdtmndt0(xn,xp),xr)),
inference(scs_inference,[],[i_0_399,i_0_401,i_0_473,i_0_1169,i_0_1703,i_0_1701,i_0_1598,i_0_507,i_0_1278,i_0_1307,i_0_855,i_0_269,i_0_919,i_0_900,i_0_394,i_0_856,i_0_294,i_0_305,i_0_259,i_0_296,i_0_300,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323,i_0_324,i_0_308,i_0_239,i_0_273,i_0_274,i_0_256,i_0_220,i_0_221,i_0_211,i_0_212,i_0_251]) ).
cnf(i_0_1775,plain,
sdtpldt0(sdtmndt0(xn,xp),esk1_2(sdtmndt0(xn,xp),xr)) = xr,
inference(scs_inference,[],[i_0_399,i_0_401,i_0_473,i_0_1169,i_0_1703,i_0_1701,i_0_1598,i_0_507,i_0_1278,i_0_1307,i_0_855,i_0_269,i_0_919,i_0_900,i_0_394,i_0_856,i_0_294,i_0_305,i_0_259,i_0_296,i_0_300,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323,i_0_324,i_0_308,i_0_239,i_0_273,i_0_274,i_0_256,i_0_220,i_0_221,i_0_211,i_0_212,i_0_251,i_0_230]) ).
cnf(i_0_1777,plain,
sdtpldt0(sdtmndt0(sdtmndt0(sdtmndt0(xn,xr),esk11_0),sdtmndt0(esk11_0,esk11_0)),sz10) != sz00,
inference(scs_inference,[],[i_0_399,i_0_401,i_0_473,i_0_1169,i_0_1703,i_0_1701,i_0_1598,i_0_507,i_0_1278,i_0_1307,i_0_855,i_0_269,i_0_919,i_0_900,i_0_394,i_0_856,i_0_294,i_0_305,i_0_259,i_0_296,i_0_300,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323,i_0_324,i_0_308,i_0_239,i_0_273,i_0_274,i_0_256,i_0_220,i_0_221,i_0_211,i_0_212,i_0_251,i_0_230,i_0_257]) ).
cnf(i_0_1779,plain,
sdtpldt0(xn,sdtmndt0(sdtpldt0(xp,esk10_0),xn)) = sdtpldt0(xp,esk10_0),
inference(scs_inference,[],[i_0_399,i_0_401,i_0_473,i_0_510,i_0_1169,i_0_1703,i_0_1701,i_0_1598,i_0_507,i_0_1278,i_0_1307,i_0_855,i_0_269,i_0_919,i_0_900,i_0_509,i_0_394,i_0_856,i_0_294,i_0_305,i_0_259,i_0_296,i_0_299,i_0_300,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323,i_0_324,i_0_308,i_0_239,i_0_273,i_0_274,i_0_256,i_0_220,i_0_221,i_0_211,i_0_212,i_0_251,i_0_230,i_0_257,i_0_377]) ).
cnf(i_0_1781,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(sdtpldt0(xp,sdtmndt0(xp,xp)),xp),sdtmndt0(xp,xp))),
inference(scs_inference,[],[i_0_399,i_0_401,i_0_473,i_0_510,i_0_1169,i_0_1703,i_0_1701,i_0_1652,i_0_1598,i_0_507,i_0_1638,i_0_1278,i_0_1307,i_0_855,i_0_269,i_0_919,i_0_900,i_0_509,i_0_394,i_0_856,i_0_789,i_0_294,i_0_305,i_0_259,i_0_296,i_0_299,i_0_300,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323,i_0_324,i_0_308,i_0_239,i_0_273,i_0_274,i_0_256,i_0_220,i_0_221,i_0_211,i_0_212,i_0_251,i_0_230,i_0_257,i_0_377,i_0_383]) ).
cnf(i_0_1783,plain,
sdtasdt0(sdtpldt0(xp,sdtmndt0(xp,xp)),sdtpldt0(xp,sdtmndt0(xp,xp))) != sz00,
inference(scs_inference,[],[i_0_399,i_0_401,i_0_473,i_0_510,i_0_1169,i_0_1703,i_0_1701,i_0_1652,i_0_1598,i_0_507,i_0_1638,i_0_1278,i_0_1307,i_0_855,i_0_269,i_0_919,i_0_900,i_0_509,i_0_394,i_0_856,i_0_789,i_0_294,i_0_305,i_0_259,i_0_296,i_0_299,i_0_300,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323,i_0_324,i_0_308,i_0_239,i_0_273,i_0_274,i_0_256,i_0_220,i_0_221,i_0_211,i_0_212,i_0_251,i_0_230,i_0_257,i_0_377,i_0_383,i_0_254]) ).
cnf(i_0_1785,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(xn,xr),sdtpldt0(esk11_0,sdtmndt0(esk11_0,esk11_0)))),
inference(scs_inference,[],[i_0_399,i_0_401,i_0_473,i_0_510,i_0_1501,i_0_1169,i_0_1703,i_0_1701,i_0_1652,i_0_1598,i_0_507,i_0_1638,i_0_1278,i_0_1307,i_0_855,i_0_269,i_0_919,i_0_900,i_0_797,i_0_509,i_0_394,i_0_856,i_0_789,i_0_294,i_0_305,i_0_259,i_0_293,i_0_296,i_0_299,i_0_300,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323,i_0_324,i_0_308,i_0_239,i_0_273,i_0_274,i_0_256,i_0_220,i_0_221,i_0_211,i_0_212,i_0_251,i_0_230,i_0_257,i_0_377,i_0_383,i_0_254,i_0_241]) ).
cnf(i_0_1787,plain,
sdtlseqdt0(sdtmndt0(xn,xp),xn),
inference(scs_inference,[],[i_0_399,i_0_401,i_0_473,i_0_510,i_0_1501,i_0_1169,i_0_1703,i_0_1701,i_0_1652,i_0_1598,i_0_507,i_0_1638,i_0_1278,i_0_1307,i_0_855,i_0_269,i_0_919,i_0_900,i_0_285,i_0_797,i_0_509,i_0_394,i_0_856,i_0_789,i_0_294,i_0_305,i_0_259,i_0_293,i_0_296,i_0_299,i_0_300,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323,i_0_324,i_0_308,i_0_239,i_0_273,i_0_274,i_0_256,i_0_220,i_0_221,i_0_211,i_0_212,i_0_251,i_0_230,i_0_257,i_0_377,i_0_383,i_0_254,i_0_241,i_0_229]) ).
cnf(i_0_1789,plain,
sdtpldt0(sz00,sdtpldt0(xp,sdtmndt0(xp,xp))) != sz00,
inference(scs_inference,[],[i_0_399,i_0_401,i_0_473,i_0_510,i_0_861,i_0_1501,i_0_1169,i_0_1703,i_0_1701,i_0_1652,i_0_1598,i_0_507,i_0_1638,i_0_1278,i_0_1307,i_0_855,i_0_269,i_0_660,i_0_919,i_0_900,i_0_285,i_0_797,i_0_509,i_0_394,i_0_856,i_0_789,i_0_294,i_0_305,i_0_259,i_0_293,i_0_296,i_0_299,i_0_300,i_0_301,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323,i_0_324,i_0_308,i_0_239,i_0_273,i_0_274,i_0_256,i_0_220,i_0_221,i_0_211,i_0_212,i_0_251,i_0_230,i_0_257,i_0_377,i_0_383,i_0_254,i_0_241,i_0_229,i_0_227]) ).
cnf(i_0_1791,plain,
~ iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(scs_inference,[],[i_0_281,i_0_399,i_0_401,i_0_473,i_0_510,i_0_861,i_0_1501,i_0_1169,i_0_1703,i_0_1701,i_0_1652,i_0_1598,i_0_507,i_0_1638,i_0_1278,i_0_1307,i_0_855,i_0_269,i_0_660,i_0_291,i_0_919,i_0_282,i_0_900,i_0_285,i_0_797,i_0_509,i_0_394,i_0_856,i_0_789,i_0_294,i_0_298,i_0_305,i_0_259,i_0_293,i_0_296,i_0_299,i_0_300,i_0_301,i_0_297,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323,i_0_324,i_0_308,i_0_239,i_0_273,i_0_274,i_0_256,i_0_220,i_0_221,i_0_211,i_0_212,i_0_251,i_0_230,i_0_257,i_0_377,i_0_383,i_0_254,i_0_241,i_0_229,i_0_227,i_0_209]) ).
cnf(i_0_1793,plain,
sdtpldt0(sdtmndt0(xn,xr),sdtmndt0(sdtmndt0(xn,xr),esk11_0)) = esk11_0,
inference(scs_inference,[],[i_0_281,i_0_399,i_0_401,i_0_473,i_0_510,i_0_861,i_0_1501,i_0_1169,i_0_1703,i_0_1701,i_0_1652,i_0_1598,i_0_507,i_0_1638,i_0_1278,i_0_1307,i_0_855,i_0_269,i_0_660,i_0_291,i_0_919,i_0_282,i_0_900,i_0_285,i_0_797,i_0_509,i_0_394,i_0_856,i_0_789,i_0_294,i_0_298,i_0_305,i_0_259,i_0_293,i_0_296,i_0_299,i_0_300,i_0_301,i_0_297,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_883,i_0_884,i_0_1259,i_0_315,i_0_307,i_0_327,i_0_328,i_0_249,i_0_250,i_0_323,i_0_324,i_0_308,i_0_239,i_0_273,i_0_274,i_0_256,i_0_220,i_0_221,i_0_211,i_0_212,i_0_251,i_0_230,i_0_257,i_0_377,i_0_383,i_0_254,i_0_241,i_0_229,i_0_227,i_0_209,i_0_1060]) ).
cnf(i_0_1814,plain,
sdtasdt0(esk1_2(sdtmndt0(xn,xp),xr),sz10) = esk1_2(sdtmndt0(xn,xp),xr),
inference(scs_inference,[],[i_0_1757,i_0_275]) ).
cnf(i_0_1816,plain,
sdtpldt0(esk1_2(sdtmndt0(xn,xp),xr),sz00) = esk1_2(sdtmndt0(xn,xp),xr),
inference(scs_inference,[],[i_0_1757,i_0_275,i_0_276]) ).
cnf(i_0_1818,plain,
esk1_2(sdtmndt0(xn,xp),xr) = sdtasdt0(sz10,esk1_2(sdtmndt0(xn,xp),xr)),
inference(scs_inference,[],[i_0_1757,i_0_275,i_0_276,i_0_277]) ).
cnf(i_0_1820,plain,
esk1_2(sdtmndt0(xn,xp),xr) = sdtpldt0(sz00,esk1_2(sdtmndt0(xn,xp),xr)),
inference(scs_inference,[],[i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278]) ).
cnf(i_0_1822,plain,
xr != sdtasdt0(xp,esk1_2(sdtmndt0(xn,xp),xr)),
inference(scs_inference,[],[i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264]) ).
cnf(i_0_1824,plain,
xm != sdtasdt0(xp,esk1_2(sdtmndt0(xn,xp),xr)),
inference(scs_inference,[],[i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265]) ).
cnf(i_0_1826,plain,
sdtasdt0(esk1_2(sdtmndt0(xn,xp),xr),sz00) = sz00,
inference(scs_inference,[],[i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279]) ).
cnf(i_0_1828,plain,
sz00 = sdtasdt0(sz00,esk1_2(sdtmndt0(xn,xp),xr)),
inference(scs_inference,[],[i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280]) ).
cnf(i_0_1830,plain,
sdtasdt0(esk5_3(sdtmndt0(xn,xr),X1,X2),X3) = sdtasdt0(esk5_3(esk11_0,X1,X2),X3),
inference(scs_inference,[],[i_0_1717,i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309]) ).
cnf(i_0_1831,plain,
sdtasdt0(X1,esk5_3(sdtmndt0(xn,xr),X2,X3)) = sdtasdt0(X1,esk5_3(esk11_0,X2,X3)),
inference(scs_inference,[],[i_0_1717,i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310]) ).
cnf(i_0_1832,plain,
esk3_1(esk5_3(sdtmndt0(xn,xr),X1,X2)) = esk3_1(esk5_3(esk11_0,X1,X2)),
inference(scs_inference,[],[i_0_1717,i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311]) ).
cnf(i_0_1833,plain,
esk5_3(esk5_3(sdtmndt0(xn,xr),X1,X2),X3,X4) = esk5_3(esk5_3(esk11_0,X1,X2),X3,X4),
inference(scs_inference,[],[i_0_1717,i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312]) ).
cnf(i_0_1834,plain,
esk5_3(X1,esk5_3(sdtmndt0(xn,xr),X2,X3),X4) = esk5_3(X1,esk5_3(esk11_0,X2,X3),X4),
inference(scs_inference,[],[i_0_1717,i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313]) ).
cnf(i_0_1835,plain,
esk5_3(X1,X2,esk5_3(sdtmndt0(xn,xr),X3,X4)) = esk5_3(X1,X2,esk5_3(esk11_0,X3,X4)),
inference(scs_inference,[],[i_0_1717,i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314]) ).
cnf(i_0_1836,plain,
sdtpldt0(X1,esk5_3(sdtmndt0(xn,xr),X2,X3)) = sdtpldt0(X1,esk5_3(esk11_0,X2,X3)),
inference(scs_inference,[],[i_0_1717,i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316]) ).
cnf(i_0_1837,plain,
sdtsldt0(esk5_3(sdtmndt0(xn,xr),X1,X2),X3) = sdtsldt0(esk5_3(esk11_0,X1,X2),X3),
inference(scs_inference,[],[i_0_1717,i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317]) ).
cnf(i_0_1838,plain,
sdtsldt0(X1,esk5_3(sdtmndt0(xn,xr),X2,X3)) = sdtsldt0(X1,esk5_3(esk11_0,X2,X3)),
inference(scs_inference,[],[i_0_1717,i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318]) ).
cnf(i_0_1839,plain,
sdtmndt0(esk5_3(sdtmndt0(xn,xr),X1,X2),X3) = sdtmndt0(esk5_3(esk11_0,X1,X2),X3),
inference(scs_inference,[],[i_0_1717,i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319]) ).
cnf(i_0_1840,plain,
sdtmndt0(X1,esk5_3(sdtmndt0(xn,xr),X2,X3)) = sdtmndt0(X1,esk5_3(esk11_0,X2,X3)),
inference(scs_inference,[],[i_0_1717,i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320]) ).
cnf(i_0_1841,plain,
sdtmndt0(esk11_0,sdtmndt0(xn,xr)) = sdtmndt0(sdtmndt0(xn,xr),esk11_0),
inference(scs_inference,[],[i_0_1717,i_0_1724,i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_883]) ).
cnf(i_0_1843,plain,
sdtpldt0(esk5_3(sdtmndt0(xn,xr),X1,X2),X3) = sdtpldt0(esk5_3(esk11_0,X1,X2),X3),
inference(scs_inference,[],[i_0_1717,i_0_1724,i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_883,i_0_315]) ).
cnf(i_0_1844,plain,
sdtpldt0(sz00,sz00) != xp,
inference(scs_inference,[],[i_0_979,i_0_1717,i_0_1724,i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_883,i_0_315,i_0_307]) ).
cnf(i_0_1845,plain,
aNaturalNumber0(sdtasdt0(esk1_2(sdtmndt0(xn,xp),xr),esk1_2(sdtmndt0(xn,xp),xr))),
inference(scs_inference,[],[i_0_979,i_0_1717,i_0_1724,i_0_1757,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_883,i_0_315,i_0_307,i_0_249]) ).
cnf(i_0_1847,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xr),sdtmndt0(sdtpldt0(xp,xr),sdtpldt0(xp,xr))),sdtpldt0(xp,xr)),
inference(scs_inference,[],[i_0_469,i_0_979,i_0_1717,i_0_1724,i_0_1757,i_0_579,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_883,i_0_315,i_0_307,i_0_249,i_0_327]) ).
cnf(i_0_1848,plain,
sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(sdtpldt0(xp,xr),sdtmndt0(sdtpldt0(xp,xr),sdtpldt0(xp,xr)))),
inference(scs_inference,[],[i_0_469,i_0_979,i_0_1717,i_0_1724,i_0_1757,i_0_579,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_883,i_0_315,i_0_307,i_0_249,i_0_327,i_0_328]) ).
cnf(i_0_1849,plain,
esk4_1(sdtpldt0(xp,sdtmndt0(xp,xp))) != sz10,
inference(scs_inference,[],[i_0_469,i_0_979,i_0_1717,i_0_1724,i_0_1757,i_0_1759,i_0_1761,i_0_579,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_883,i_0_315,i_0_307,i_0_249,i_0_327,i_0_328,i_0_283]) ).
cnf(i_0_1851,plain,
aNaturalNumber0(sdtpldt0(esk1_2(sdtmndt0(xn,xp),xr),esk1_2(sdtmndt0(xn,xp),xr))),
inference(scs_inference,[],[i_0_469,i_0_979,i_0_1717,i_0_1724,i_0_1757,i_0_1759,i_0_1761,i_0_579,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_883,i_0_315,i_0_307,i_0_249,i_0_327,i_0_328,i_0_283,i_0_250]) ).
cnf(i_0_1853,plain,
~ isPrime0(sdtasdt0(sdtmndt0(sdtmndt0(sdtmndt0(xn,xr),esk11_0),sdtmndt0(esk11_0,esk11_0)),sz00)),
inference(scs_inference,[],[i_0_469,i_0_979,i_0_1717,i_0_1724,i_0_1757,i_0_1759,i_0_1761,i_0_1737,i_0_390,i_0_579,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_883,i_0_315,i_0_307,i_0_249,i_0_327,i_0_328,i_0_283,i_0_250,i_0_326]) ).
cnf(i_0_1854,plain,
esk4_1(sdtpldt0(xp,sdtmndt0(xp,xp))) != sz00,
inference(scs_inference,[],[i_0_469,i_0_979,i_0_1717,i_0_1724,i_0_1757,i_0_1759,i_0_1761,i_0_1737,i_0_390,i_0_579,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_883,i_0_315,i_0_307,i_0_249,i_0_327,i_0_328,i_0_283,i_0_250,i_0_326,i_0_284]) ).
cnf(i_0_1856,plain,
doDivides0(sdtpldt0(xp,sdtmndt0(xp,xp)),sdtasdt0(xn,xm)),
inference(scs_inference,[],[i_0_469,i_0_979,i_0_1717,i_0_1724,i_0_1757,i_0_1759,i_0_1761,i_0_1737,i_0_390,i_0_579,i_0_855,i_0_260,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_883,i_0_315,i_0_307,i_0_249,i_0_327,i_0_328,i_0_283,i_0_250,i_0_326,i_0_284,i_0_323]) ).
cnf(i_0_1857,plain,
doDivides0(sdtpldt0(xp,sdtmndt0(xp,xp)),sdtasdt0(xp,esk12_0)),
inference(scs_inference,[],[i_0_469,i_0_979,i_0_1717,i_0_1724,i_0_1754,i_0_1757,i_0_1759,i_0_1761,i_0_1737,i_0_390,i_0_269,i_0_579,i_0_855,i_0_260,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_883,i_0_315,i_0_307,i_0_249,i_0_327,i_0_328,i_0_283,i_0_250,i_0_326,i_0_284,i_0_323,i_0_324]) ).
cnf(i_0_1858,plain,
esk5_3(sdtmndt0(xn,xr),sdtmndt0(xn,xr),X1) = esk5_3(esk11_0,esk11_0,X1),
inference(scs_inference,[],[i_0_469,i_0_979,i_0_1717,i_0_1718,i_0_1724,i_0_1754,i_0_1757,i_0_1759,i_0_1761,i_0_1737,i_0_390,i_0_269,i_0_579,i_0_855,i_0_260,i_0_275,i_0_276,i_0_277,i_0_278,i_0_264,i_0_265,i_0_279,i_0_280,i_0_309,i_0_310,i_0_311,i_0_312,i_0_313,i_0_314,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_883,i_0_315,i_0_307,i_0_249,i_0_327,i_0_328,i_0_283,i_0_250,i_0_326,i_0_284,i_0_323,i_0_324,i_0_308]) ).
cnf(c_0_1804,plain,
~ iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
i_0_1791 ).
cnf(c_0_1805,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_221 ).
cnf(c_0_1806,hypothesis,
aNaturalNumber0(xp),
i_0_297 ).
cnf(c_0_1807,hypothesis,
aNaturalNumber0(xm),
i_0_298 ).
cnf(c_0_1808,hypothesis,
aNaturalNumber0(xr),
i_0_296 ).
cnf(c_0_1809,plain,
~ iLess0(sdtpldt0(xr,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1804,c_0_1805]),c_0_1806]),c_0_1807]),c_0_1808])]) ).
cnf(c_0_1810,hypothesis,
aNaturalNumber0(xn),
i_0_299 ).
cnf(c_0_1811,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2) ),
i_0_246 ).
cnf(c_0_1812,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X2))
| X1 = X3
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_217 ).
cnf(c_0_1813,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_250 ).
cnf(c_0_1814,plain,
( X1 = X2
| sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_236 ).
cnf(c_0_1815,plain,
~ iLess0(sdtpldt0(xr,sdtpldt0(xm,xp)),sdtpldt0(xn,sdtpldt0(xm,xp))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1809,c_0_1805]),c_0_1806]),c_0_1807]),c_0_1810])]) ).
cnf(c_0_1816,plain,
( X1 = X2
| iLess0(sdtpldt0(X1,X3),sdtpldt0(X2,X3))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1811,c_0_1812]),c_0_1813]),c_0_1813]),c_0_1814]) ).
cnf(c_0_1817,hypothesis,
sdtlseqdt0(xr,xn),
i_0_285 ).
cnf(c_0_1818,hypothesis,
xr != xn,
i_0_302 ).
cnf(c_0_1819,plain,
~ aNaturalNumber0(sdtpldt0(xm,xp)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1815,c_0_1816]),c_0_1817]),c_0_1810]),c_0_1808])]),c_0_1818]) ).
cnf(c_0_1820,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1819,c_0_1813]),c_0_1806]),c_0_1807])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM493+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
% 0.15/0.32 % Computer : n026.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 00:38:53 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 257.97/133.38 % Version : CSE_E---1.7
% 257.97/133.38 % Problem : theBenchmark.p
% 257.97/133.38 % SZS status Theorem for theBenchmark.p
% 257.97/133.38 % SZS output start CNFRefutation
% See solution above
% 263.87/139.24 % Total time : 132.109s
%------------------------------------------------------------------------------