%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM517+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n018.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 04:57:39 PM UTC 2026
% Result : Theorem 180.30s 128.81s
% Output : CNFRefutation 188.30s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_465)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> ( ? [X1] :
( aNaturalNumber0(X1)
& sdtsldt0(xn,xr) = sdtasdt0(xp,X1) )
| doDivides0(xp,sdtsldt0(xn,xr)) ) )
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',m__1799) ).
fof(m__2686,hypothesis,
( ~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) )
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X1) = sdtpldt0(sdtpldt0(xn,xm),xp) )
& sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2686) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(m__2529,hypothesis,
( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2529) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(mLEAsym,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(mMonMul2,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(mLETotal,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( X2 != X1
& sdtlseqdt0(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(mZeroMul,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
fof(m__2342,hypothesis,
( aNaturalNumber0(xr)
& ? [X1] :
( aNaturalNumber0(X1)
& xk = sdtasdt0(xr,X1) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xr = sdtasdt0(X1,X2) )
| doDivides0(X1,xr) ) )
=> ( X1 = sz10
| X1 = xr ) )
& isPrime0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
fof(m__1860,hypothesis,
( xp != sz00
& xp != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xp = sdtasdt0(X1,X2) )
| doDivides0(X1,xp) ) )
=> ( X1 = sz10
| X1 = xp ) )
& isPrime0(xp)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(m__2504,hypothesis,
( ~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> sdtsldt0(xn,xr) = xn )
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(sdtsldt0(xn,xr),X1) = xn )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2504) ).
fof(m__2362,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xr,X1) = xk )
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xr,X1) )
& doDivides0(xr,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2362) ).
fof(mPrimDiv,axiom,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ? [X2] :
( aNaturalNumber0(X2)
& doDivides0(X2,X1)
& isPrime0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimDiv) ).
fof(m__2075,hypothesis,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xm )
| sdtlseqdt0(xp,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
fof(m__1870,hypothesis,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xn )
| sdtlseqdt0(xp,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
fof(mLENTr,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 = sz00
| X1 = sz10
| ( sz10 != X1
& sdtlseqdt0(sz10,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
fof(m__2449,hypothesis,
( ( ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xr,X1) )
& doDivides0(xr,xn) )
| ( ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xr,X1) )
& doDivides0(xr,xm) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2449) ).
fof(mLERefl,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).
fof(m_MulUnit,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(m_AddZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(m_MulZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(m__2487,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xr,X1) )
& doDivides0(xr,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).
fof(m__2377,hypothesis,
( xk != xp
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xk,X1) = xp )
& sdtlseqdt0(xk,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2377) ).
fof(m__2287,hypothesis,
( xn != xp
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xn,X1) = xp )
& sdtlseqdt0(xn,xp)
& xm != xp
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = xp )
& sdtlseqdt0(xm,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
fof(m__2315,hypothesis,
~ ( xk = sz00
| xk = sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2315) ).
fof(m__2306,hypothesis,
( aNaturalNumber0(xk)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(mSortsC_01,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(m__2327,hypothesis,
( xk != sz00
& xk != sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2327) ).
fof(i_0_54,negated_conjecture,
~ ( ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> ( ? [X1] :
( aNaturalNumber0(X1)
& sdtsldt0(xn,xr) = sdtasdt0(xp,X1) )
| doDivides0(xp,sdtsldt0(xn,xr)) ) )
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
| doDivides0(xp,xm) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(i_0_55,hypothesis,
! [X199,X200,X201,X204] :
( ( aNaturalNumber0(esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| aNaturalNumber0(esk5_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| aNaturalNumber0(esk5_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| aNaturalNumber0(esk5_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| aNaturalNumber0(esk5_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| aNaturalNumber0(esk5_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| aNaturalNumber0(esk5_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| aNaturalNumber0(esk5_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| aNaturalNumber0(esk5_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| aNaturalNumber0(esk5_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| aNaturalNumber0(esk5_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| aNaturalNumber0(esk5_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| aNaturalNumber0(esk5_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| aNaturalNumber0(esk5_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| aNaturalNumber0(esk5_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| aNaturalNumber0(esk5_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| aNaturalNumber0(esk5_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| aNaturalNumber0(esk5_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| aNaturalNumber0(esk5_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| aNaturalNumber0(esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| aNaturalNumber0(esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| aNaturalNumber0(esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| aNaturalNumber0(esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| aNaturalNumber0(esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| aNaturalNumber0(esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| aNaturalNumber0(esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| aNaturalNumber0(esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| aNaturalNumber0(esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| aNaturalNumber0(esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| aNaturalNumber0(esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| aNaturalNumber0(esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| aNaturalNumber0(esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| aNaturalNumber0(esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| aNaturalNumber0(esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| aNaturalNumber0(esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| aNaturalNumber0(esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| aNaturalNumber0(esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| X201 = sdtasdt0(esk5_3(X199,X200,X201),esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| X201 = sdtasdt0(esk5_3(X199,X200,X201),esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| X201 = sdtasdt0(esk5_3(X199,X200,X201),esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| X201 = sdtasdt0(esk5_3(X199,X200,X201),esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| X201 = sdtasdt0(esk5_3(X199,X200,X201),esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| X201 = sdtasdt0(esk5_3(X199,X200,X201),esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| X201 = sdtasdt0(esk5_3(X199,X200,X201),esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| X201 = sdtasdt0(esk5_3(X199,X200,X201),esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| X201 = sdtasdt0(esk5_3(X199,X200,X201),esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| X201 = sdtasdt0(esk5_3(X199,X200,X201),esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| X201 = sdtasdt0(esk5_3(X199,X200,X201),esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| X201 = sdtasdt0(esk5_3(X199,X200,X201),esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| X201 = sdtasdt0(esk5_3(X199,X200,X201),esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| X201 = sdtasdt0(esk5_3(X199,X200,X201),esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| X201 = sdtasdt0(esk5_3(X199,X200,X201),esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| X201 = sdtasdt0(esk5_3(X199,X200,X201),esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| X201 = sdtasdt0(esk5_3(X199,X200,X201),esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| X201 = sdtasdt0(esk5_3(X199,X200,X201),esk6_3(X199,X200,X201))
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| doDivides0(esk5_3(X199,X200,X201),X201)
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| doDivides0(esk5_3(X199,X200,X201),X201)
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| doDivides0(esk5_3(X199,X200,X201),X201)
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| doDivides0(esk5_3(X199,X200,X201),X201)
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| doDivides0(esk5_3(X199,X200,X201),X201)
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| doDivides0(esk5_3(X199,X200,X201),X201)
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| doDivides0(esk5_3(X199,X200,X201),X201)
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| doDivides0(esk5_3(X199,X200,X201),X201)
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| doDivides0(esk5_3(X199,X200,X201),X201)
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| doDivides0(esk5_3(X199,X200,X201),X201)
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| doDivides0(esk5_3(X199,X200,X201),X201)
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| doDivides0(esk5_3(X199,X200,X201),X201)
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| doDivides0(esk5_3(X199,X200,X201),X201)
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| doDivides0(esk5_3(X199,X200,X201),X201)
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| doDivides0(esk5_3(X199,X200,X201),X201)
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| doDivides0(esk5_3(X199,X200,X201),X201)
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| doDivides0(esk5_3(X199,X200,X201),X201)
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| doDivides0(esk5_3(X199,X200,X201),X201)
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| esk5_3(X199,X200,X201) != sz10
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| esk5_3(X199,X200,X201) != sz10
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| esk5_3(X199,X200,X201) != sz10
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| esk5_3(X199,X200,X201) != sz10
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| esk5_3(X199,X200,X201) != sz10
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| esk5_3(X199,X200,X201) != sz10
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| esk5_3(X199,X200,X201) != sz10
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| esk5_3(X199,X200,X201) != sz10
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| esk5_3(X199,X200,X201) != sz10
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| esk5_3(X199,X200,X201) != sz10
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| esk5_3(X199,X200,X201) != sz10
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| esk5_3(X199,X200,X201) != sz10
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| esk5_3(X199,X200,X201) != sz10
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| esk5_3(X199,X200,X201) != sz10
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| esk5_3(X199,X200,X201) != sz10
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| esk5_3(X199,X200,X201) != sz10
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| esk5_3(X199,X200,X201) != sz10
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| esk5_3(X199,X200,X201) != sz10
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| esk5_3(X199,X200,X201) != X201
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| esk5_3(X199,X200,X201) != X201
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| esk5_3(X199,X200,X201) != X201
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| esk5_3(X199,X200,X201) != X201
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| esk5_3(X199,X200,X201) != X201
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| esk5_3(X199,X200,X201) != X201
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| esk5_3(X199,X200,X201) != X201
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| esk5_3(X199,X200,X201) != X201
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| esk5_3(X199,X200,X201) != X201
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| esk5_3(X199,X200,X201) != X201
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| esk5_3(X199,X200,X201) != X201
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| esk5_3(X199,X200,X201) != X201
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| esk5_3(X199,X200,X201) != X201
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| esk5_3(X199,X200,X201) != X201
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| esk5_3(X199,X200,X201) != X201
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| esk5_3(X199,X200,X201) != X201
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| esk5_3(X199,X200,X201) != X201
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| esk5_3(X199,X200,X201) != X201
| X201 = sz00
| X201 = sz10
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| ~ isPrime0(X201)
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| ~ isPrime0(X201)
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| ~ isPrime0(X201)
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| ~ isPrime0(X201)
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| ~ isPrime0(X201)
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| ~ isPrime0(X201)
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| ~ isPrime0(X201)
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| ~ isPrime0(X201)
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X204)
| sdtasdt0(X199,X200) != sdtasdt0(X201,X204)
| ~ isPrime0(X201)
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| ~ isPrime0(X201)
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| ~ isPrime0(X201)
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| aNaturalNumber0(esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| ~ isPrime0(X201)
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| ~ isPrime0(X201)
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| ~ isPrime0(X201)
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| X199 = sdtasdt0(X201,esk7_3(X199,X200,X201))
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| ~ isPrime0(X201)
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( aNaturalNumber0(esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| ~ isPrime0(X201)
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( X200 = sdtasdt0(X201,esk8_3(X199,X200,X201))
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| ~ isPrime0(X201)
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) )
& ( doDivides0(X201,X200)
| doDivides0(X201,X199)
| ~ iLess0(sdtpldt0(sdtpldt0(X199,X200),X201),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X201,sdtasdt0(X199,X200))
| ~ isPrime0(X201)
| ~ aNaturalNumber0(X199)
| ~ aNaturalNumber0(X200)
| ~ aNaturalNumber0(X201) ) ),
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_56,hypothesis,
( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(esk21_0)
& sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),esk21_0) = sdtpldt0(sdtpldt0(xn,xm),xp)
& sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2686])])]) ).
fof(i_0_57,plain,
! [X134,X135,X136] :
( ( sdtasdt0(X134,sdtpldt0(X135,X136)) = sdtpldt0(sdtasdt0(X134,X135),sdtasdt0(X134,X136))
| ~ aNaturalNumber0(X134)
| ~ aNaturalNumber0(X135)
| ~ aNaturalNumber0(X136) )
& ( sdtasdt0(sdtpldt0(X135,X136),X134) = sdtpldt0(sdtasdt0(X135,X134),sdtasdt0(X136,X134))
| ~ aNaturalNumber0(X134)
| ~ aNaturalNumber0(X135)
| ~ aNaturalNumber0(X136) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
fof(i_0_58,plain,
! [X191,X192,X193] :
( ~ aNaturalNumber0(X191)
| ~ aNaturalNumber0(X192)
| X191 = sz00
| ~ doDivides0(X191,X192)
| ~ aNaturalNumber0(X193)
| sdtasdt0(X193,sdtsldt0(X192,X191)) = sdtsldt0(sdtasdt0(X193,X192),X191) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivAsso])])]) ).
fof(i_0_59,plain,
! [X186,X187,X188] :
( ~ aNaturalNumber0(X186)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ doDivides0(X186,X187)
| ~ doDivides0(X186,sdtpldt0(X187,X188))
| doDivides0(X186,X188) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivMin])]) ).
fof(i_0_60,plain,
! [X165,X166,X167] :
( ( sdtasdt0(X165,X166) != sdtasdt0(X165,X167)
| X165 = sz00
| X166 = X167
| ~ sdtlseqdt0(X166,X167)
| ~ aNaturalNumber0(X165)
| ~ aNaturalNumber0(X166)
| ~ aNaturalNumber0(X167) )
& ( sdtlseqdt0(sdtasdt0(X165,X166),sdtasdt0(X165,X167))
| X165 = sz00
| X166 = X167
| ~ sdtlseqdt0(X166,X167)
| ~ aNaturalNumber0(X165)
| ~ aNaturalNumber0(X166)
| ~ aNaturalNumber0(X167) )
& ( sdtasdt0(X166,X165) != sdtasdt0(X167,X165)
| X165 = sz00
| X166 = X167
| ~ sdtlseqdt0(X166,X167)
| ~ aNaturalNumber0(X165)
| ~ aNaturalNumber0(X166)
| ~ aNaturalNumber0(X167) )
& ( sdtlseqdt0(sdtasdt0(X166,X165),sdtasdt0(X167,X165))
| X165 = sz00
| X166 = X167
| ~ sdtlseqdt0(X166,X167)
| ~ aNaturalNumber0(X165)
| ~ aNaturalNumber0(X166)
| ~ aNaturalNumber0(X167) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul])])]) ).
fof(i_0_61,plain,
! [X162,X163,X164] :
( ( sdtpldt0(X164,X162) != sdtpldt0(X164,X163)
| ~ aNaturalNumber0(X164)
| X162 = X163
| ~ sdtlseqdt0(X162,X163)
| ~ aNaturalNumber0(X162)
| ~ aNaturalNumber0(X163) )
& ( sdtlseqdt0(sdtpldt0(X164,X162),sdtpldt0(X164,X163))
| ~ aNaturalNumber0(X164)
| X162 = X163
| ~ sdtlseqdt0(X162,X163)
| ~ aNaturalNumber0(X162)
| ~ aNaturalNumber0(X163) )
& ( sdtpldt0(X162,X164) != sdtpldt0(X163,X164)
| ~ aNaturalNumber0(X164)
| X162 = X163
| ~ sdtlseqdt0(X162,X163)
| ~ aNaturalNumber0(X162)
| ~ aNaturalNumber0(X163) )
& ( sdtlseqdt0(sdtpldt0(X162,X164),sdtpldt0(X163,X164))
| ~ aNaturalNumber0(X164)
| X162 = X163
| ~ sdtlseqdt0(X162,X163)
| ~ aNaturalNumber0(X162)
| ~ aNaturalNumber0(X163) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonAdd])])])]) ).
fof(i_0_62,plain,
! [X183,X184,X185] :
( ~ aNaturalNumber0(X183)
| ~ aNaturalNumber0(X184)
| ~ aNaturalNumber0(X185)
| ~ doDivides0(X183,X184)
| ~ doDivides0(X183,X185)
| doDivides0(X183,sdtpldt0(X184,X185)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivSum])]) ).
fof(i_0_63,plain,
! [X129,X130,X131] :
( ~ aNaturalNumber0(X129)
| ~ aNaturalNumber0(X130)
| ~ aNaturalNumber0(X131)
| sdtasdt0(sdtasdt0(X129,X130),X131) = sdtasdt0(X129,sdtasdt0(X130,X131)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(i_0_64,plain,
! [X123,X124,X125] :
( ~ aNaturalNumber0(X123)
| ~ aNaturalNumber0(X124)
| ~ aNaturalNumber0(X125)
| sdtpldt0(sdtpldt0(X123,X124),X125) = sdtpldt0(X123,sdtpldt0(X124,X125)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(i_0_65,plain,
! [X177,X178,X179] :
( ( aNaturalNumber0(X179)
| X179 != sdtsldt0(X178,X177)
| X177 = sz00
| ~ doDivides0(X177,X178)
| ~ aNaturalNumber0(X177)
| ~ aNaturalNumber0(X178) )
& ( X178 = sdtasdt0(X177,X179)
| X179 != sdtsldt0(X178,X177)
| X177 = sz00
| ~ doDivides0(X177,X178)
| ~ aNaturalNumber0(X177)
| ~ aNaturalNumber0(X178) )
& ( ~ aNaturalNumber0(X179)
| X178 != sdtasdt0(X177,X179)
| X179 = sdtsldt0(X178,X177)
| X177 = sz00
| ~ doDivides0(X177,X178)
| ~ aNaturalNumber0(X177)
| ~ aNaturalNumber0(X178) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefQuot])])])]) ).
fof(i_0_66,plain,
! [X151,X152,X153] :
( ( aNaturalNumber0(X153)
| X153 != sdtmndt0(X152,X151)
| ~ sdtlseqdt0(X151,X152)
| ~ aNaturalNumber0(X151)
| ~ aNaturalNumber0(X152) )
& ( sdtpldt0(X151,X153) = X152
| X153 != sdtmndt0(X152,X151)
| ~ sdtlseqdt0(X151,X152)
| ~ aNaturalNumber0(X151)
| ~ aNaturalNumber0(X152) )
& ( ~ aNaturalNumber0(X153)
| sdtpldt0(X151,X153) != X152
| X153 = sdtmndt0(X152,X151)
| ~ sdtlseqdt0(X151,X152)
| ~ aNaturalNumber0(X151)
| ~ aNaturalNumber0(X152) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])]) ).
fof(i_0_67,plain,
! [X180,X181,X182] :
( ~ aNaturalNumber0(X180)
| ~ aNaturalNumber0(X181)
| ~ aNaturalNumber0(X182)
| ~ doDivides0(X180,X181)
| ~ doDivides0(X181,X182)
| doDivides0(X180,X182) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])]) ).
fof(i_0_68,plain,
! [X157,X158,X159] :
( ~ aNaturalNumber0(X157)
| ~ aNaturalNumber0(X158)
| ~ aNaturalNumber0(X159)
| ~ sdtlseqdt0(X157,X158)
| ~ sdtlseqdt0(X158,X159)
| sdtlseqdt0(X157,X159) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETran])]) ).
fof(i_0_69,plain,
! [X147,X148,X150] :
( ( aNaturalNumber0(esk1_2(X147,X148))
| ~ sdtlseqdt0(X147,X148)
| ~ aNaturalNumber0(X147)
| ~ aNaturalNumber0(X148) )
& ( sdtpldt0(X147,esk1_2(X147,X148)) = X148
| ~ sdtlseqdt0(X147,X148)
| ~ aNaturalNumber0(X147)
| ~ aNaturalNumber0(X148) )
& ( ~ aNaturalNumber0(X150)
| sdtpldt0(X147,X150) != X148
| sdtlseqdt0(X147,X148)
| ~ aNaturalNumber0(X147)
| ~ aNaturalNumber0(X148) ) ),
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_70,plain,
! [X173,X174,X176] :
( ( aNaturalNumber0(esk2_2(X173,X174))
| ~ doDivides0(X173,X174)
| ~ aNaturalNumber0(X173)
| ~ aNaturalNumber0(X174) )
& ( X174 = sdtasdt0(X173,esk2_2(X173,X174))
| ~ doDivides0(X173,X174)
| ~ aNaturalNumber0(X173)
| ~ aNaturalNumber0(X174) )
& ( ~ aNaturalNumber0(X176)
| X174 != sdtasdt0(X173,X176)
| doDivides0(X173,X174)
| ~ aNaturalNumber0(X173)
| ~ aNaturalNumber0(X174) ) ),
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_71,hypothesis,
( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(esk20_0)
& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,esk20_0)
& doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2529])]) ).
fof(i_0_72,plain,
! [X140,X141,X142] :
( ( sdtasdt0(X140,X141) != sdtasdt0(X140,X142)
| X141 = X142
| ~ aNaturalNumber0(X141)
| ~ aNaturalNumber0(X142)
| X140 = sz00
| ~ aNaturalNumber0(X140) )
& ( sdtasdt0(X141,X140) != sdtasdt0(X142,X140)
| X141 = X142
| ~ aNaturalNumber0(X141)
| ~ aNaturalNumber0(X142)
| X140 = sz00
| ~ aNaturalNumber0(X140) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulCanc])])])]) ).
fof(i_0_73,plain,
! [X137,X138,X139] :
( ( sdtpldt0(X137,X138) != sdtpldt0(X137,X139)
| X138 = X139
| ~ aNaturalNumber0(X137)
| ~ aNaturalNumber0(X138)
| ~ aNaturalNumber0(X139) )
& ( sdtpldt0(X138,X137) != sdtpldt0(X139,X137)
| X138 = X139
| ~ aNaturalNumber0(X137)
| ~ aNaturalNumber0(X138)
| ~ aNaturalNumber0(X139) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddCanc])])]) ).
fof(i_0_74,plain,
! [X155,X156] :
( ~ aNaturalNumber0(X155)
| ~ aNaturalNumber0(X156)
| ~ sdtlseqdt0(X155,X156)
| ~ sdtlseqdt0(X156,X155)
| X155 = X156 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])]) ).
fof(i_0_75,plain,
! [X169,X170] :
( ~ aNaturalNumber0(X169)
| ~ aNaturalNumber0(X170)
| X169 = sz00
| sdtlseqdt0(X170,sdtasdt0(X170,X169)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul2])]) ).
fof(i_0_76,plain,
! [X171,X172] :
( ~ aNaturalNumber0(X171)
| ~ aNaturalNumber0(X172)
| X171 = X172
| ~ sdtlseqdt0(X171,X172)
| iLess0(X171,X172) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH_03])]) ).
fof(i_0_77,plain,
! [X189,X190] :
( ~ aNaturalNumber0(X189)
| ~ aNaturalNumber0(X190)
| ~ doDivides0(X189,X190)
| X190 = sz00
| sdtlseqdt0(X189,X190) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivLE])]) ).
fof(i_0_78,negated_conjecture,
! [X226,X227] :
( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ( ~ aNaturalNumber0(X226)
| sdtsldt0(xn,xr) != sdtasdt0(xp,X226) )
& ~ doDivides0(xp,sdtsldt0(xn,xr))
& ( ~ aNaturalNumber0(X227)
| xm != sdtasdt0(xp,X227) )
& ~ doDivides0(xp,xm) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_54])])]) ).
fof(i_0_79,plain,
! [X194,X195] :
( ( X194 != sz00
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X194) )
& ( X194 != sz10
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X194) )
& ( ~ aNaturalNumber0(X195)
| ~ doDivides0(X195,X194)
| X195 = sz10
| X195 = X194
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk3_1(X194))
| X194 = sz00
| X194 = sz10
| isPrime0(X194)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(esk3_1(X194),X194)
| X194 = sz00
| X194 = sz10
| isPrime0(X194)
| ~ aNaturalNumber0(X194) )
& ( esk3_1(X194) != sz10
| X194 = sz00
| X194 = sz10
| isPrime0(X194)
| ~ aNaturalNumber0(X194) )
& ( esk3_1(X194) != X194
| X194 = sz00
| X194 = sz10
| isPrime0(X194)
| ~ aNaturalNumber0(X194) ) ),
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_80,plain,
! [X119,X120] :
( ~ aNaturalNumber0(X119)
| ~ aNaturalNumber0(X120)
| aNaturalNumber0(sdtasdt0(X119,X120)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(i_0_81,plain,
! [X117,X118] :
( ~ aNaturalNumber0(X117)
| ~ aNaturalNumber0(X118)
| aNaturalNumber0(sdtpldt0(X117,X118)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(i_0_82,plain,
! [X160,X161] :
( ( X161 != X160
| sdtlseqdt0(X160,X161)
| ~ aNaturalNumber0(X160)
| ~ aNaturalNumber0(X161) )
& ( sdtlseqdt0(X161,X160)
| sdtlseqdt0(X160,X161)
| ~ aNaturalNumber0(X160)
| ~ aNaturalNumber0(X161) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETotal])])]) ).
fof(i_0_83,plain,
! [X127,X128] :
( ~ aNaturalNumber0(X127)
| ~ aNaturalNumber0(X128)
| sdtasdt0(X127,X128) = sdtasdt0(X128,X127) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(i_0_84,plain,
! [X121,X122] :
( ~ aNaturalNumber0(X121)
| ~ aNaturalNumber0(X122)
| sdtpldt0(X121,X122) = sdtpldt0(X122,X121) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
fof(i_0_85,plain,
! [X145,X146] :
( ~ aNaturalNumber0(X145)
| ~ aNaturalNumber0(X146)
| sdtasdt0(X145,X146) != sz00
| X145 = sz00
| X146 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroMul])]) ).
fof(i_0_86,hypothesis,
! [X215,X216] :
( aNaturalNumber0(xr)
& aNaturalNumber0(esk12_0)
& xk = sdtasdt0(xr,esk12_0)
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ( ~ aNaturalNumber0(X216)
| xr != sdtasdt0(X215,X216)
| ~ aNaturalNumber0(X215)
| X215 = sz10
| X215 = xr )
& ( ~ doDivides0(X215,xr)
| ~ aNaturalNumber0(X215)
| X215 = sz10
| X215 = xr )
& isPrime0(xr) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2342])])])])]) ).
fof(i_0_87,hypothesis,
! [X207,X208] :
( xp != sz00
& xp != sz10
& ( ~ aNaturalNumber0(X208)
| xp != sdtasdt0(X207,X208)
| ~ aNaturalNumber0(X207)
| X207 = sz10
| X207 = xp )
& ( ~ doDivides0(X207,xp)
| ~ aNaturalNumber0(X207)
| X207 = sz10
| X207 = 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_88,plain,
! [X143,X144] :
( ( X143 = sz00
| sdtpldt0(X143,X144) != sz00
| ~ aNaturalNumber0(X143)
| ~ aNaturalNumber0(X144) )
& ( X144 = sz00
| sdtpldt0(X143,X144) != sz00
| ~ aNaturalNumber0(X143)
| ~ aNaturalNumber0(X144) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroAdd])])]) ).
fof(i_0_89,hypothesis,
( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& sdtsldt0(xn,xr) != xn
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(esk19_0)
& sdtpldt0(sdtsldt0(xn,xr),esk19_0) = xn
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2504])])]) ).
fof(i_0_90,hypothesis,
( aNaturalNumber0(esk13_0)
& sdtpldt0(xr,esk13_0) = xk
& aNaturalNumber0(esk14_0)
& sdtasdt0(xn,xm) = sdtasdt0(xr,esk14_0)
& doDivides0(xr,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2362])]) ).
fof(i_0_91,plain,
! [X197] :
( ( aNaturalNumber0(esk4_1(X197))
| ~ aNaturalNumber0(X197)
| X197 = sz00
| X197 = sz10 )
& ( doDivides0(esk4_1(X197),X197)
| ~ aNaturalNumber0(X197)
| X197 = sz00
| X197 = sz10 )
& ( isPrime0(esk4_1(X197))
| ~ aNaturalNumber0(X197)
| X197 = sz00
| X197 = sz10 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPrimDiv])])])]) ).
fof(i_0_92,hypothesis,
! [X211] :
( ( ~ aNaturalNumber0(X211)
| sdtpldt0(xp,X211) != xm )
& ~ sdtlseqdt0(xp,xm) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2075])])]) ).
fof(i_0_93,hypothesis,
! [X210] :
( ( ~ aNaturalNumber0(X210)
| sdtpldt0(xp,X210) != xn )
& ~ sdtlseqdt0(xp,xn) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1870])])]) ).
fof(i_0_94,plain,
! [X168] :
( ( sz10 != X168
| X168 = sz00
| X168 = sz10
| ~ aNaturalNumber0(X168) )
& ( sdtlseqdt0(sz10,X168)
| X168 = sz00
| X168 = sz10
| ~ aNaturalNumber0(X168) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLENTr])])]) ).
fof(i_0_95,hypothesis,
( ( aNaturalNumber0(esk17_0)
| aNaturalNumber0(esk16_0) )
& ( xm = sdtasdt0(xr,esk17_0)
| aNaturalNumber0(esk16_0) )
& ( doDivides0(xr,xm)
| aNaturalNumber0(esk16_0) )
& ( aNaturalNumber0(esk17_0)
| xn = sdtasdt0(xr,esk16_0) )
& ( xm = sdtasdt0(xr,esk17_0)
| xn = sdtasdt0(xr,esk16_0) )
& ( doDivides0(xr,xm)
| xn = sdtasdt0(xr,esk16_0) )
& ( aNaturalNumber0(esk17_0)
| doDivides0(xr,xn) )
& ( xm = sdtasdt0(xr,esk17_0)
| doDivides0(xr,xn) )
& ( doDivides0(xr,xm)
| doDivides0(xr,xn) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2449])])]) ).
fof(i_0_96,plain,
! [X154] :
( ~ aNaturalNumber0(X154)
| sdtlseqdt0(X154,X154) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERefl])]) ).
fof(i_0_97,plain,
! [X132] :
( ( sdtasdt0(X132,sz10) = X132
| ~ aNaturalNumber0(X132) )
& ( X132 = sdtasdt0(sz10,X132)
| ~ aNaturalNumber0(X132) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).
fof(i_0_98,plain,
! [X126] :
( ( sdtpldt0(X126,sz00) = X126
| ~ aNaturalNumber0(X126) )
& ( X126 = sdtpldt0(sz00,X126)
| ~ aNaturalNumber0(X126) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])]) ).
fof(i_0_99,plain,
! [X133] :
( ( sdtasdt0(X133,sz00) = sz00
| ~ aNaturalNumber0(X133) )
& ( sz00 = sdtasdt0(sz00,X133)
| ~ aNaturalNumber0(X133) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])]) ).
fof(i_0_100,hypothesis,
( aNaturalNumber0(esk18_0)
& xn = sdtasdt0(xr,esk18_0)
& doDivides0(xr,xn) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2487])]) ).
fof(i_0_101,hypothesis,
( xk != xp
& aNaturalNumber0(esk15_0)
& sdtpldt0(xk,esk15_0) = xp
& sdtlseqdt0(xk,xp) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2377])]) ).
fof(i_0_102,hypothesis,
( xn != xp
& aNaturalNumber0(esk10_0)
& sdtpldt0(xn,esk10_0) = xp
& sdtlseqdt0(xn,xp)
& xm != xp
& aNaturalNumber0(esk11_0)
& sdtpldt0(xm,esk11_0) = xp
& sdtlseqdt0(xm,xp) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2287])]) ).
fof(i_0_103,hypothesis,
( xk != sz00
& xk != sz10 ),
inference(fof_nnf,[status(thm)],[m__2315]) ).
cnf(i_0_104,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_55]),
[final] ).
cnf(i_0_105,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_55]),
[final] ).
cnf(i_0_106,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_55]),
[final] ).
cnf(i_0_107,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_55]),
[final] ).
cnf(i_0_108,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_55]),
[final] ).
cnf(i_0_109,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_55]),
[final] ).
cnf(i_0_110,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_55]),
[final] ).
cnf(i_0_111,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_55]),
[final] ).
cnf(i_0_112,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_55]),
[final] ).
cnf(i_0_113,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_55]),
[final] ).
cnf(i_0_114,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_55]),
[final] ).
cnf(i_0_115,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_55]),
[final] ).
cnf(i_0_116,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_55]),
[final] ).
cnf(i_0_117,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_55]),
[final] ).
cnf(i_0_118,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_55]),
[final] ).
cnf(i_0_119,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_55]),
[final] ).
cnf(i_0_120,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_55]),
[final] ).
cnf(i_0_121,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_55]),
[final] ).
cnf(i_0_122,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_55]),
[final] ).
cnf(i_0_123,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_55]),
[final] ).
cnf(i_0_124,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_55]),
[final] ).
cnf(i_0_125,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_55]),
[final] ).
cnf(i_0_126,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_55]),
[final] ).
cnf(i_0_127,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_55]),
[final] ).
cnf(i_0_128,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_55]),
[final] ).
cnf(i_0_129,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_55]),
[final] ).
cnf(i_0_130,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_55]),
[final] ).
cnf(i_0_131,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_55]),
[final] ).
cnf(i_0_132,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_55]),
[final] ).
cnf(i_0_133,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_55]),
[final] ).
cnf(i_0_134,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_55]),
[final] ).
cnf(i_0_135,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_55]),
[final] ).
cnf(i_0_136,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_55]),
[final] ).
cnf(i_0_137,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_55]),
[final] ).
cnf(i_0_138,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_55]),
[final] ).
cnf(i_0_139,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_55]),
[final] ).
cnf(i_0_140,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_55]),
[final] ).
cnf(i_0_141,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_55]),
[final] ).
cnf(i_0_142,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_55]),
[final] ).
cnf(i_0_143,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_55]),
[final] ).
cnf(i_0_144,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_55]),
[final] ).
cnf(i_0_145,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_55]),
[final] ).
cnf(i_0_146,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| esk5_3(X3,X1,X2) != X2
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_147,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| esk5_3(X1,X2,X3) != X3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_148,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_55]),
[final] ).
cnf(i_0_149,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_55]),
[final] ).
cnf(i_0_150,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_55]),
[final] ).
cnf(i_0_151,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_55]),
[final] ).
cnf(i_0_152,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_55]),
[final] ).
cnf(i_0_153,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_55]),
[final] ).
cnf(i_0_154,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_55]),
[final] ).
cnf(i_0_155,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_55]),
[final] ).
cnf(i_0_156,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_55]),
[final] ).
cnf(i_0_157,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_55]),
[final] ).
cnf(i_0_158,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_55]),
[final] ).
cnf(i_0_159,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_55]),
[final] ).
cnf(i_0_160,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| X1 = sdtasdt0(esk5_3(X3,X2,X1),esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_161,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| doDivides0(esk5_3(X3,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_162,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| doDivides0(esk5_3(X3,X1,X2),X2)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_163,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_55]),
[final] ).
cnf(i_0_164,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_55]),
[final] ).
cnf(i_0_165,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_55]),
[final] ).
cnf(i_0_166,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_55]),
[final] ).
cnf(i_0_167,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_55]),
[final] ).
cnf(i_0_168,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_55]),
[final] ).
cnf(i_0_169,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_55]),
[final] ).
cnf(i_0_170,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_55]),
[final] ).
cnf(i_0_171,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_55]),
[final] ).
cnf(i_0_172,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_55]),
[final] ).
cnf(i_0_173,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_55]),
[final] ).
cnf(i_0_174,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_55]),
[final] ).
cnf(i_0_175,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_55]),
[final] ).
cnf(i_0_176,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_55]),
[final] ).
cnf(i_0_177,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_55]),
[final] ).
cnf(i_0_178,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_55]),
[final] ).
cnf(i_0_179,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_55]),
[final] ).
cnf(i_0_180,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_55]),
[final] ).
cnf(i_0_181,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_55]),
[final] ).
cnf(i_0_182,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_55]),
[final] ).
cnf(i_0_183,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_55]),
[final] ).
cnf(i_0_184,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_55]),
[final] ).
cnf(i_0_185,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_55]),
[final] ).
cnf(i_0_186,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_187,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_55]),
[final] ).
cnf(i_0_188,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_55]),
[final] ).
cnf(i_0_189,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_55]),
[final] ).
cnf(i_0_190,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_55]),
[final] ).
cnf(i_0_191,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_55]),
[final] ).
cnf(i_0_192,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_55]),
[final] ).
cnf(i_0_193,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| esk5_3(X3,X2,X1) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_194,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| esk5_3(X3,X1,X2) != X2
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_195,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_55]),
[final] ).
cnf(i_0_196,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_55]),
[final] ).
cnf(i_0_197,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_55]),
[final] ).
cnf(i_0_198,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| esk5_3(X3,X2,X1) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_199,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| esk5_3(X1,X2,X3) != X3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_200,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_55]),
[final] ).
cnf(i_0_201,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_55]),
[final] ).
cnf(i_0_202,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_55]),
[final] ).
cnf(i_0_203,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_55]),
[final] ).
cnf(i_0_204,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_55]),
[final] ).
cnf(i_0_205,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_55]),
[final] ).
cnf(i_0_206,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_55]),
[final] ).
cnf(i_0_207,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_55]),
[final] ).
cnf(i_0_208,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_55]),
[final] ).
cnf(i_0_209,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_55]),
[final] ).
cnf(i_0_210,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_55]),
[final] ).
cnf(i_0_211,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_55]),
[final] ).
cnf(i_0_212,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_55]),
[final] ).
cnf(i_0_213,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_55]),
[final] ).
cnf(i_0_214,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_55]),
[final] ).
cnf(i_0_215,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_55]),
[final] ).
cnf(i_0_216,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_55]),
[final] ).
cnf(i_0_217,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_55]),
[final] ).
cnf(i_0_218,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_55]),
[final] ).
cnf(i_0_219,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_55]),
[final] ).
cnf(i_0_220,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_55]),
[final] ).
cnf(i_0_221,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_55]),
[final] ).
cnf(i_0_222,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_55]),
[final] ).
cnf(i_0_223,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_55]),
[final] ).
cnf(i_0_224,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_55]),
[final] ).
cnf(i_0_225,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_55]),
[final] ).
cnf(i_0_226,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_55]),
[final] ).
cnf(i_0_227,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_55]),
[final] ).
cnf(i_0_228,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_55]),
[final] ).
cnf(i_0_229,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_55]),
[final] ).
cnf(i_0_230,hypothesis,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_231,hypothesis,
sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),esk21_0) = sdtpldt0(sdtpldt0(xn,xm),xp),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_232,hypothesis,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_233,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_57]),
[final] ).
cnf(i_0_234,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_57]),
[final] ).
cnf(i_0_235,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_58]),
[final] ).
cnf(i_0_236,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_59]),
[final] ).
cnf(i_0_237,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_60]),
[final] ).
cnf(i_0_238,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_60]),
[final] ).
cnf(i_0_239,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_61]),
[final] ).
cnf(i_0_240,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_61]),
[final] ).
cnf(i_0_241,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_62]),
[final] ).
cnf(i_0_242,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_243,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_244,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_60]),
[final] ).
cnf(i_0_245,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_60]),
[final] ).
cnf(i_0_246,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_61]),
[final] ).
cnf(i_0_247,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_61]),
[final] ).
cnf(i_0_248,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_65]),
[final] ).
cnf(i_0_249,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_66]),
[final] ).
cnf(i_0_250,plain,
( doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_251,plain,
( sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_252,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_253,plain,
( X1 = sdtasdt0(X2,esk2_2(X2,X1))
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_254,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_65]),
[final] ).
cnf(i_0_255,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_256,hypothesis,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_257,plain,
( X1 = X3
| X2 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_258,plain,
( X2 = X3
| X1 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_259,plain,
( X1 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_260,plain,
( X2 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_261,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_262,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_263,plain,
( aNaturalNumber0(X1)
| X3 = sz00
| X1 != sdtsldt0(X2,X3)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_264,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_265,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_266,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_267,plain,
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_268,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_269,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_270,plain,
( X2 = sz00
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_271,negated_conjecture,
~ doDivides0(xp,sdtsldt0(xn,xr)),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_272,plain,
( X1 = sz10
| X1 = X2
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_273,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_274,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_275,negated_conjecture,
( ~ aNaturalNumber0(X1)
| sdtsldt0(xn,xr) != sdtasdt0(xp,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_276,hypothesis,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,esk20_0),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_277,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_278,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_279,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_280,plain,
( X1 = sz00
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_281,hypothesis,
( X2 = sz10
| X2 = xr
| ~ aNaturalNumber0(X1)
| xr != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_282,hypothesis,
( X2 = sz10
| X2 = xp
| ~ aNaturalNumber0(X1)
| xp != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_283,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_284,plain,
( X1 = sz00
| sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_285,plain,
( doDivides0(esk3_1(X1),X1)
| X1 = sz00
| X1 = sz10
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_286,hypothesis,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_287,hypothesis,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_288,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_289,hypothesis,
sdtpldt0(sdtsldt0(xn,xr),esk19_0) = xn,
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_290,hypothesis,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(split_conjunct,[status(thm)],[m__2306]),
[final] ).
cnf(i_0_291,negated_conjecture,
xn = sdtasdt0(xr,sdtsldt0(xn,xr)),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_292,hypothesis,
xn = sdtasdt0(xr,sdtsldt0(xn,xr)),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_293,hypothesis,
xn = sdtasdt0(xr,sdtsldt0(xn,xr)),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_294,hypothesis,
xn = sdtasdt0(xr,sdtsldt0(xn,xr)),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_295,hypothesis,
xn = sdtasdt0(xr,sdtsldt0(xn,xr)),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_296,hypothesis,
xn = sdtasdt0(xr,sdtsldt0(xn,xr)),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_297,plain,
( sdtlseqdt0(X2,X1)
| X1 != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_298,plain,
( doDivides0(esk4_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_299,hypothesis,
( X1 = sz10
| X1 = xr
| ~ doDivides0(X1,xr)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_300,hypothesis,
( X1 = sz10
| X1 = xp
| ~ doDivides0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_301,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,X1) != xm ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_302,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,X1) != xn ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_303,negated_conjecture,
( ~ aNaturalNumber0(X1)
| xm != sdtasdt0(xp,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_304,plain,
( aNaturalNumber0(esk3_1(X1))
| X1 = sz00
| X1 = sz10
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_305,negated_conjecture,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_306,hypothesis,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_307,hypothesis,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_308,hypothesis,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_309,hypothesis,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_310,hypothesis,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_311,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| esk3_1(X1) != X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_312,plain,
( sdtlseqdt0(sz10,X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_313,hypothesis,
( doDivides0(xr,xm)
| doDivides0(xr,xn) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_314,hypothesis,
( xm = sdtasdt0(xr,esk17_0)
| doDivides0(xr,xn) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_315,hypothesis,
( doDivides0(xr,xm)
| xn = sdtasdt0(xr,esk16_0) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_316,hypothesis,
( xm = sdtasdt0(xr,esk17_0)
| xn = sdtasdt0(xr,esk16_0) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_317,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xr,esk14_0),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_318,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,esk9_0),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_319,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(split_conjunct,[status(thm)],[m__2306]),
[final] ).
cnf(i_0_320,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| esk3_1(X1) != sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_321,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_322,plain,
( isPrime0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_323,plain,
( aNaturalNumber0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_324,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_325,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_326,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_327,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_328,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_329,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_330,negated_conjecture,
~ doDivides0(xp,xm),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_331,hypothesis,
~ sdtlseqdt0(xp,xm),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_332,hypothesis,
~ sdtlseqdt0(xp,xn),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_333,hypothesis,
sdtsldt0(xn,xr) != xn,
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_334,plain,
( X1 != sz10
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_335,plain,
( X1 != sz00
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_336,hypothesis,
( aNaturalNumber0(esk17_0)
| doDivides0(xr,xn) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_337,hypothesis,
( doDivides0(xr,xm)
| aNaturalNumber0(esk16_0) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_338,hypothesis,
( xm = sdtasdt0(xr,esk17_0)
| aNaturalNumber0(esk16_0) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_339,hypothesis,
( aNaturalNumber0(esk17_0)
| xn = sdtasdt0(xr,esk16_0) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_340,hypothesis,
doDivides0(xr,xk),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_341,hypothesis,
doDivides0(xr,xn),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_342,hypothesis,
sdtlseqdt0(xk,xp),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_343,hypothesis,
sdtlseqdt0(xm,xp),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_344,hypothesis,
sdtlseqdt0(xn,xp),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_345,hypothesis,
sdtpldt0(xr,esk13_0) = xk,
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_346,hypothesis,
sdtpldt0(xk,esk15_0) = xp,
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_347,hypothesis,
sdtpldt0(xm,esk11_0) = xp,
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_348,hypothesis,
sdtpldt0(xn,esk10_0) = xp,
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_349,hypothesis,
xk = sdtasdt0(xr,esk12_0),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_350,hypothesis,
xn = sdtasdt0(xr,esk18_0),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_351,hypothesis,
( aNaturalNumber0(esk17_0)
| aNaturalNumber0(esk16_0) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_352,hypothesis,
isPrime0(xr),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_353,hypothesis,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_354,hypothesis,
aNaturalNumber0(esk21_0),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_355,hypothesis,
aNaturalNumber0(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_356,hypothesis,
aNaturalNumber0(esk19_0),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_357,hypothesis,
aNaturalNumber0(esk18_0),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_358,hypothesis,
aNaturalNumber0(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_359,hypothesis,
aNaturalNumber0(esk14_0),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_360,hypothesis,
aNaturalNumber0(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_361,hypothesis,
aNaturalNumber0(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_362,hypothesis,
aNaturalNumber0(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_363,hypothesis,
aNaturalNumber0(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_364,hypothesis,
aNaturalNumber0(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_365,hypothesis,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_366,hypothesis,
aNaturalNumber0(xk),
inference(split_conjunct,[status(thm)],[m__2306]),
[final] ).
cnf(i_0_367,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_368,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_369,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_370,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_371,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]),
[final] ).
cnf(i_0_372,hypothesis,
xr != sz10,
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_373,hypothesis,
xr != sz00,
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_374,hypothesis,
xk != xp,
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_375,hypothesis,
xk != sz10,
inference(split_conjunct,[status(thm)],[m__2327]),
[final] ).
cnf(i_0_376,hypothesis,
xk != sz10,
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_377,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[m__2327]),
[final] ).
cnf(i_0_378,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_379,hypothesis,
xm != xp,
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_380,hypothesis,
xn != xp,
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_381,hypothesis,
xp != sz10,
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_382,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_383,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_384,axiom,
X1 = X1 ).
cnf(i_0_385,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_386,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_387,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_388,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_389,axiom,
( X1 != X2
| esk3_1(X1) = esk3_1(X2) ) ).
cnf(i_0_390,axiom,
( X1 != X2
| esk5_3(X1,X3,X4) = esk5_3(X2,X3,X4) ) ).
cnf(i_0_391,axiom,
( X1 != X2
| esk5_3(X3,X1,X4) = esk5_3(X3,X2,X4) ) ).
cnf(i_0_392,axiom,
( X1 != X2
| esk5_3(X3,X4,X1) = esk5_3(X3,X4,X2) ) ).
cnf(i_0_393,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_394,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_395,axiom,
( X1 != X2
| sdtsldt0(X1,X3) = sdtsldt0(X2,X3) ) ).
cnf(i_0_396,axiom,
( X1 != X2
| sdtsldt0(X3,X1) = sdtsldt0(X3,X2) ) ).
cnf(i_0_397,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_398,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_399,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_400,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_401,axiom,
( X1 != X2
| ~ doDivides0(X1,X3)
| doDivides0(X2,X3) ) ).
cnf(i_0_402,axiom,
( X1 != X2
| ~ doDivides0(X3,X1)
| doDivides0(X3,X2) ) ).
cnf(i_0_403,axiom,
( X1 != X2
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X2) ) ).
cnf(i_0_404,axiom,
( X1 != X2
| ~ isPrime0(X1)
| isPrime0(X2) ) ).
cnf(i_0_405,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_406,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_469,plain,
sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
inference(scs_inference,[],[i_0_319,i_0_385]) ).
cnf(i_0_470,plain,
sdtlseqdt0(esk21_0,esk21_0),
inference(scs_inference,[],[i_0_354,i_0_319,i_0_385,i_0_321]) ).
cnf(i_0_472,plain,
sdtpldt0(sdtsldt0(xn,xr),xm) != sdtpldt0(xn,xm),
inference(scs_inference,[],[i_0_354,i_0_319,i_0_232,i_0_385,i_0_321,i_0_393]) ).
cnf(i_0_473,plain,
sdtasdt0(xp,xk) = sdtasdt0(xp,esk9_0),
inference(scs_inference,[],[i_0_354,i_0_319,i_0_318,i_0_232,i_0_385,i_0_321,i_0_393,i_0_386]) ).
cnf(i_0_474,plain,
~ doDivides0(sdtpldt0(xk,esk15_0),sdtsldt0(xn,xr)),
inference(scs_inference,[],[i_0_271,i_0_354,i_0_319,i_0_318,i_0_346,i_0_232,i_0_385,i_0_321,i_0_393,i_0_386,i_0_401]) ).
cnf(i_0_475,plain,
sdtasdt0(xn,xm) != sdtsldt0(xn,xr),
inference(scs_inference,[],[i_0_271,i_0_354,i_0_319,i_0_318,i_0_288,i_0_346,i_0_232,i_0_385,i_0_321,i_0_393,i_0_386,i_0_401,i_0_402]) ).
cnf(i_0_476,plain,
aNaturalNumber0(sdtasdt0(xr,esk12_0)),
inference(scs_inference,[],[i_0_271,i_0_354,i_0_366,i_0_319,i_0_318,i_0_288,i_0_346,i_0_349,i_0_232,i_0_385,i_0_321,i_0_393,i_0_386,i_0_401,i_0_402,i_0_403]) ).
cnf(i_0_477,plain,
~ sdtlseqdt0(sdtpldt0(xk,esk15_0),xm),
inference(scs_inference,[],[i_0_271,i_0_354,i_0_366,i_0_319,i_0_318,i_0_331,i_0_288,i_0_346,i_0_349,i_0_232,i_0_385,i_0_321,i_0_393,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405]) ).
cnf(i_0_478,plain,
~ sdtlseqdt0(xp,sdtpldt0(sdtsldt0(xn,xr),esk19_0)),
inference(scs_inference,[],[i_0_271,i_0_354,i_0_366,i_0_319,i_0_318,i_0_331,i_0_332,i_0_288,i_0_346,i_0_349,i_0_232,i_0_289,i_0_385,i_0_321,i_0_393,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405,i_0_406]) ).
cnf(i_0_805,plain,
sdtlseqdt0(esk19_0,esk19_0),
inference(scs_inference,[],[i_0_356,i_0_321]) ).
cnf(i_0_807,plain,
xn = sdtpldt0(sdtsldt0(xn,xr),esk19_0),
inference(scs_inference,[],[i_0_356,i_0_289,i_0_321,i_0_385]) ).
cnf(i_0_829,plain,
sdtlseqdt0(esk10_0,esk10_0),
inference(scs_inference,[],[i_0_363,i_0_321]) ).
cnf(i_0_855,plain,
sdtlseqdt0(esk15_0,esk15_0),
inference(scs_inference,[],[i_0_358,i_0_321]) ).
cnf(i_0_879,plain,
sdtlseqdt0(esk13_0,esk13_0),
inference(scs_inference,[],[i_0_360,i_0_321]) ).
cnf(i_0_881,plain,
xp = sdtpldt0(xm,esk11_0),
inference(scs_inference,[],[i_0_360,i_0_347,i_0_321,i_0_385]) ).
cnf(i_0_1027,plain,
sdtlseqdt0(xp,xp),
inference(scs_inference,[],[i_0_367,i_0_321]) ).
cnf(i_0_1079,plain,
sdtlseqdt0(xm,xm),
inference(scs_inference,[],[i_0_368,i_0_321]) ).
cnf(i_0_1616,plain,
sdtlseqdt0(xr,xr),
inference(scs_inference,[],[i_0_365,i_0_321]) ).
cnf(i_0_2464,plain,
esk14_0 = sdtasdt0(sz10,esk14_0),
inference(scs_inference,[],[i_0_359,i_0_326]) ).
cnf(i_0_2466,plain,
esk14_0 = sdtpldt0(sz00,esk14_0),
inference(scs_inference,[],[i_0_359,i_0_326,i_0_327]) ).
cnf(i_0_2468,plain,
sdtpldt0(xp,esk14_0) != xm,
inference(scs_inference,[],[i_0_359,i_0_326,i_0_327,i_0_301]) ).
cnf(i_0_2470,plain,
sdtpldt0(xp,esk14_0) != xn,
inference(scs_inference,[],[i_0_359,i_0_326,i_0_327,i_0_301,i_0_302]) ).
cnf(i_0_2472,plain,
xm != sdtasdt0(xp,esk14_0),
inference(scs_inference,[],[i_0_359,i_0_326,i_0_327,i_0_301,i_0_302,i_0_303]) ).
cnf(i_0_2474,plain,
sdtasdt0(esk14_0,sz00) = sz00,
inference(scs_inference,[],[i_0_359,i_0_326,i_0_327,i_0_301,i_0_302,i_0_303,i_0_328]) ).
cnf(i_0_2476,plain,
sz00 = sdtasdt0(sz00,esk14_0),
inference(scs_inference,[],[i_0_359,i_0_326,i_0_327,i_0_301,i_0_302,i_0_303,i_0_328,i_0_329]) ).
cnf(i_0_2478,plain,
sdtsldt0(xn,xr) != sdtasdt0(xp,esk14_0),
inference(scs_inference,[],[i_0_359,i_0_326,i_0_327,i_0_301,i_0_302,i_0_303,i_0_328,i_0_329,i_0_275]) ).
cnf(i_0_467,plain,
~ isPrime0(sz10),
inference(scs_inference,[],[i_0_370,i_0_465]) ).
cnf(i_0_468,plain,
~ isPrime0(sz00),
inference(scs_inference,[],[i_0_371,i_0_466]) ).
cnf(i_0_479,plain,
aNaturalNumber0(sdtmndt0(esk21_0,esk21_0)),
inference(scs_inference,[],[i_0_271,i_0_354,i_0_366,i_0_319,i_0_318,i_0_331,i_0_332,i_0_288,i_0_346,i_0_349,i_0_232,i_0_289,i_0_385,i_0_321,i_0_393,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405,i_0_406,i_0_461]) ).
cnf(i_0_481,plain,
sdtlseqdt0(sdtasdt0(xr,esk12_0),xk),
inference(scs_inference,[],[i_0_271,i_0_354,i_0_366,i_0_319,i_0_318,i_0_331,i_0_332,i_0_288,i_0_346,i_0_349,i_0_232,i_0_289,i_0_385,i_0_321,i_0_393,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405,i_0_406,i_0_461,i_0_297]) ).
cnf(i_0_483,plain,
doDivides0(esk4_1(xk),xk),
inference(scs_inference,[],[i_0_271,i_0_354,i_0_366,i_0_376,i_0_378,i_0_319,i_0_318,i_0_331,i_0_332,i_0_288,i_0_346,i_0_349,i_0_232,i_0_289,i_0_385,i_0_321,i_0_393,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405,i_0_406,i_0_461,i_0_297,i_0_298]) ).
cnf(i_0_485,plain,
~ doDivides0(xk,xp),
inference(scs_inference,[],[i_0_271,i_0_354,i_0_366,i_0_376,i_0_378,i_0_319,i_0_318,i_0_331,i_0_332,i_0_374,i_0_288,i_0_346,i_0_349,i_0_232,i_0_289,i_0_385,i_0_321,i_0_393,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405,i_0_406,i_0_461,i_0_297,i_0_298,i_0_300]) ).
cnf(i_0_487,plain,
sdtlseqdt0(sz10,xk),
inference(scs_inference,[],[i_0_271,i_0_354,i_0_366,i_0_376,i_0_378,i_0_319,i_0_318,i_0_331,i_0_332,i_0_374,i_0_288,i_0_346,i_0_349,i_0_232,i_0_289,i_0_385,i_0_321,i_0_393,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405,i_0_406,i_0_461,i_0_297,i_0_298,i_0_300,i_0_312]) ).
cnf(i_0_489,plain,
sdtpldt0(esk21_0,sdtmndt0(esk21_0,esk21_0)) = esk21_0,
inference(scs_inference,[],[i_0_271,i_0_354,i_0_366,i_0_376,i_0_378,i_0_319,i_0_318,i_0_331,i_0_332,i_0_374,i_0_288,i_0_346,i_0_349,i_0_232,i_0_289,i_0_385,i_0_321,i_0_393,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405,i_0_406,i_0_461,i_0_297,i_0_298,i_0_300,i_0_312,i_0_455]) ).
cnf(i_0_491,plain,
sdtlseqdt0(xr,xk),
inference(scs_inference,[],[i_0_271,i_0_354,i_0_360,i_0_365,i_0_366,i_0_376,i_0_378,i_0_319,i_0_318,i_0_331,i_0_332,i_0_374,i_0_288,i_0_345,i_0_346,i_0_349,i_0_232,i_0_289,i_0_385,i_0_321,i_0_393,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405,i_0_406,i_0_461,i_0_297,i_0_298,i_0_300,i_0_312,i_0_455,i_0_266]) ).
cnf(i_0_493,plain,
xk = esk9_0,
inference(scs_inference,[],[i_0_271,i_0_354,i_0_360,i_0_364,i_0_365,i_0_366,i_0_367,i_0_376,i_0_378,i_0_319,i_0_318,i_0_331,i_0_332,i_0_374,i_0_382,i_0_288,i_0_345,i_0_346,i_0_349,i_0_232,i_0_289,i_0_385,i_0_321,i_0_393,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405,i_0_406,i_0_461,i_0_297,i_0_298,i_0_300,i_0_312,i_0_455,i_0_266,i_0_258]) ).
cnf(i_0_495,plain,
esk13_0 = sdtmndt0(xk,xr),
inference(scs_inference,[],[i_0_271,i_0_354,i_0_360,i_0_364,i_0_365,i_0_366,i_0_367,i_0_376,i_0_378,i_0_319,i_0_318,i_0_331,i_0_332,i_0_374,i_0_382,i_0_288,i_0_345,i_0_346,i_0_349,i_0_232,i_0_289,i_0_385,i_0_321,i_0_393,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405,i_0_406,i_0_461,i_0_297,i_0_298,i_0_300,i_0_312,i_0_455,i_0_266,i_0_258,i_0_249]) ).
cnf(i_0_502,plain,
sdtlseqdt0(sdtasdt0(xr,esk12_0),sdtasdt0(xr,esk12_0)),
inference(scs_inference,[],[i_0_476,i_0_321]) ).
cnf(i_0_504,plain,
sdtasdt0(xp,esk9_0) = sdtasdt0(xp,xk),
inference(scs_inference,[],[i_0_473,i_0_476,i_0_321,i_0_385]) ).
cnf(i_0_501,plain,
isPrime0(xr),
inference(equality_inference,[],[497]) ).
cnf(i_0_505,plain,
sdtpldt0(xr,esk13_0) = esk9_0,
inference(scs_inference,[],[i_0_473,i_0_476,i_0_493,i_0_345,i_0_321,i_0_385,i_0_386]) ).
cnf(i_0_506,plain,
~ doDivides0(sdtpldt0(xm,esk11_0),sdtsldt0(xn,xr)),
inference(scs_inference,[],[i_0_271,i_0_473,i_0_476,i_0_493,i_0_347,i_0_345,i_0_321,i_0_385,i_0_386,i_0_401]) ).
cnf(i_0_507,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) != sdtsldt0(xn,xr),
inference(scs_inference,[],[i_0_271,i_0_473,i_0_476,i_0_493,i_0_347,i_0_256,i_0_345,i_0_321,i_0_385,i_0_386,i_0_401,i_0_402]) ).
cnf(i_0_508,plain,
aNaturalNumber0(sdtasdt0(xr,esk18_0)),
inference(scs_inference,[],[i_0_271,i_0_473,i_0_476,i_0_493,i_0_369,i_0_350,i_0_347,i_0_256,i_0_345,i_0_321,i_0_385,i_0_386,i_0_401,i_0_402,i_0_403]) ).
cnf(i_0_509,plain,
~ sdtlseqdt0(sdtpldt0(xm,esk11_0),xm),
inference(scs_inference,[],[i_0_271,i_0_473,i_0_476,i_0_493,i_0_369,i_0_331,i_0_350,i_0_347,i_0_256,i_0_345,i_0_321,i_0_385,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405]) ).
cnf(i_0_510,plain,
aNaturalNumber0(sdtmndt0(sdtasdt0(xr,esk12_0),sdtasdt0(xr,esk12_0))),
inference(scs_inference,[],[i_0_271,i_0_473,i_0_476,i_0_493,i_0_369,i_0_331,i_0_350,i_0_347,i_0_256,i_0_345,i_0_321,i_0_385,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405,i_0_461]) ).
cnf(i_0_512,plain,
sdtlseqdt0(esk9_0,xk),
inference(scs_inference,[],[i_0_271,i_0_473,i_0_476,i_0_493,i_0_364,i_0_369,i_0_366,i_0_331,i_0_350,i_0_347,i_0_256,i_0_345,i_0_321,i_0_385,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405,i_0_461,i_0_297]) ).
cnf(i_0_514,plain,
doDivides0(esk4_1(xr),xr),
inference(scs_inference,[],[i_0_271,i_0_473,i_0_476,i_0_493,i_0_364,i_0_369,i_0_365,i_0_366,i_0_331,i_0_350,i_0_373,i_0_347,i_0_256,i_0_372,i_0_345,i_0_321,i_0_385,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405,i_0_461,i_0_297,i_0_298]) ).
cnf(i_0_516,plain,
sdtlseqdt0(sz10,xr),
inference(scs_inference,[],[i_0_271,i_0_473,i_0_476,i_0_493,i_0_364,i_0_369,i_0_365,i_0_366,i_0_331,i_0_350,i_0_373,i_0_347,i_0_256,i_0_372,i_0_345,i_0_321,i_0_385,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405,i_0_461,i_0_297,i_0_298,i_0_312]) ).
cnf(i_0_520,plain,
sdtlseqdt0(xr,esk9_0),
inference(scs_inference,[],[i_0_271,i_0_473,i_0_476,i_0_493,i_0_364,i_0_369,i_0_360,i_0_365,i_0_366,i_0_331,i_0_350,i_0_373,i_0_347,i_0_256,i_0_372,i_0_345,i_0_321,i_0_385,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405,i_0_461,i_0_297,i_0_298,i_0_312,i_0_455,i_0_266]) ).
cnf(i_0_522,plain,
esk9_0 = xk,
inference(scs_inference,[],[i_0_271,i_0_473,i_0_476,i_0_493,i_0_364,i_0_369,i_0_360,i_0_367,i_0_365,i_0_366,i_0_331,i_0_350,i_0_373,i_0_347,i_0_256,i_0_372,i_0_382,i_0_345,i_0_321,i_0_385,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405,i_0_461,i_0_297,i_0_298,i_0_312,i_0_455,i_0_266,i_0_258]) ).
cnf(i_0_524,plain,
esk11_0 = sdtmndt0(xp,xm),
inference(scs_inference,[],[i_0_271,i_0_473,i_0_476,i_0_362,i_0_493,i_0_364,i_0_368,i_0_369,i_0_360,i_0_367,i_0_365,i_0_366,i_0_331,i_0_350,i_0_343,i_0_373,i_0_347,i_0_256,i_0_372,i_0_382,i_0_345,i_0_321,i_0_385,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405,i_0_461,i_0_297,i_0_298,i_0_312,i_0_455,i_0_266,i_0_258,i_0_249]) ).
cnf(i_0_526,plain,
esk18_0 = sdtsldt0(xn,xr),
inference(scs_inference,[],[i_0_271,i_0_473,i_0_476,i_0_357,i_0_362,i_0_493,i_0_364,i_0_368,i_0_369,i_0_360,i_0_367,i_0_365,i_0_366,i_0_331,i_0_350,i_0_343,i_0_373,i_0_347,i_0_256,i_0_341,i_0_372,i_0_382,i_0_345,i_0_321,i_0_385,i_0_386,i_0_401,i_0_402,i_0_403,i_0_405,i_0_461,i_0_297,i_0_298,i_0_312,i_0_455,i_0_266,i_0_258,i_0_249,i_0_248]) ).
cnf(i_0_531,plain,
~ sdtlseqdt0(xp,xm),
inference(equality_inference,[],[528]) ).
cnf(i_0_534,plain,
esk9_0 = sdtpldt0(xr,esk13_0),
inference(scs_inference,[],[i_0_510,i_0_505,i_0_321,i_0_385]) ).
cnf(i_0_535,plain,
~ doDivides0(sdtpldt0(xn,esk10_0),sdtsldt0(xn,xr)),
inference(scs_inference,[],[i_0_271,i_0_510,i_0_505,i_0_348,i_0_321,i_0_385,i_0_401]) ).
cnf(i_0_536,plain,
~ doDivides0(xp,esk18_0),
inference(scs_inference,[],[i_0_271,i_0_510,i_0_505,i_0_526,i_0_348,i_0_321,i_0_385,i_0_401,i_0_402]) ).
cnf(i_0_537,plain,
aNaturalNumber0(sdtmndt0(xp,xm)),
inference(scs_inference,[],[i_0_271,i_0_510,i_0_505,i_0_362,i_0_526,i_0_524,i_0_348,i_0_321,i_0_385,i_0_401,i_0_402,i_0_403]) ).
cnf(i_0_538,plain,
~ sdtlseqdt0(sdtpldt0(xn,esk10_0),xn),
inference(scs_inference,[],[i_0_271,i_0_510,i_0_505,i_0_362,i_0_526,i_0_332,i_0_524,i_0_348,i_0_321,i_0_385,i_0_401,i_0_402,i_0_403,i_0_405]) ).
cnf(i_0_539,plain,
sdtasdt0(xp,esk9_0) = sdtasdt0(xn,xm),
inference(scs_inference,[],[i_0_271,i_0_510,i_0_469,i_0_504,i_0_505,i_0_362,i_0_526,i_0_332,i_0_524,i_0_348,i_0_321,i_0_385,i_0_401,i_0_402,i_0_403,i_0_405,i_0_386]) ).
cnf(i_0_540,plain,
~ sdtlseqdt0(sdtpldt0(xn,esk10_0),sdtpldt0(sdtsldt0(xn,xr),esk19_0)),
inference(scs_inference,[],[i_0_271,i_0_510,i_0_469,i_0_504,i_0_505,i_0_362,i_0_526,i_0_332,i_0_524,i_0_348,i_0_289,i_0_321,i_0_385,i_0_401,i_0_402,i_0_403,i_0_405,i_0_386,i_0_406]) ).
cnf(i_0_541,plain,
sdtlseqdt0(xk,esk9_0),
inference(scs_inference,[],[i_0_271,i_0_510,i_0_469,i_0_504,i_0_505,i_0_522,i_0_362,i_0_364,i_0_366,i_0_526,i_0_332,i_0_524,i_0_348,i_0_289,i_0_321,i_0_385,i_0_401,i_0_402,i_0_403,i_0_405,i_0_386,i_0_406,i_0_297]) ).
cnf(i_0_543,plain,
doDivides0(esk4_1(xp),xp),
inference(scs_inference,[],[i_0_271,i_0_510,i_0_469,i_0_504,i_0_505,i_0_522,i_0_362,i_0_364,i_0_367,i_0_366,i_0_526,i_0_332,i_0_381,i_0_524,i_0_348,i_0_289,i_0_382,i_0_321,i_0_385,i_0_401,i_0_402,i_0_403,i_0_405,i_0_386,i_0_406,i_0_297,i_0_298]) ).
cnf(i_0_545,plain,
sdtlseqdt0(sz10,xp),
inference(scs_inference,[],[i_0_271,i_0_510,i_0_469,i_0_504,i_0_505,i_0_522,i_0_362,i_0_364,i_0_367,i_0_366,i_0_526,i_0_332,i_0_381,i_0_524,i_0_348,i_0_289,i_0_382,i_0_321,i_0_385,i_0_401,i_0_402,i_0_403,i_0_405,i_0_386,i_0_406,i_0_297,i_0_298,i_0_312]) ).
cnf(i_0_549,plain,
sdtlseqdt0(esk9_0,esk9_0),
inference(scs_inference,[],[i_0_271,i_0_510,i_0_469,i_0_504,i_0_505,i_0_522,i_0_362,i_0_364,i_0_367,i_0_366,i_0_526,i_0_332,i_0_381,i_0_524,i_0_512,i_0_348,i_0_289,i_0_382,i_0_321,i_0_385,i_0_401,i_0_402,i_0_403,i_0_405,i_0_386,i_0_406,i_0_297,i_0_298,i_0_312,i_0_461,i_0_251]) ).
cnf(i_0_551,plain,
esk13_0 = sdtmndt0(esk9_0,xr),
inference(scs_inference,[],[i_0_271,i_0_510,i_0_469,i_0_504,i_0_505,i_0_522,i_0_362,i_0_360,i_0_364,i_0_367,i_0_365,i_0_366,i_0_526,i_0_332,i_0_381,i_0_524,i_0_512,i_0_520,i_0_348,i_0_289,i_0_382,i_0_321,i_0_385,i_0_401,i_0_402,i_0_403,i_0_405,i_0_386,i_0_406,i_0_297,i_0_298,i_0_312,i_0_461,i_0_251,i_0_249]) ).
cnf(i_0_555,plain,
sdtpldt0(esk9_0,sdtmndt0(esk9_0,esk9_0)) = esk9_0,
inference(scs_inference,[],[i_0_271,i_0_354,i_0_510,i_0_469,i_0_504,i_0_505,i_0_522,i_0_362,i_0_360,i_0_364,i_0_367,i_0_365,i_0_366,i_0_526,i_0_332,i_0_381,i_0_524,i_0_512,i_0_520,i_0_348,i_0_289,i_0_382,i_0_321,i_0_385,i_0_401,i_0_402,i_0_403,i_0_405,i_0_386,i_0_406,i_0_297,i_0_298,i_0_312,i_0_461,i_0_251,i_0_249,i_0_463,i_0_455]) ).
cnf(i_0_569,plain,
sdtsldt0(xn,xr) = esk18_0,
inference(scs_inference,[],[i_0_547,i_0_526,i_0_321,i_0_385]) ).
cnf(i_0_570,plain,
~ doDivides0(sdtpldt0(xk,esk15_0),xm),
inference(scs_inference,[],[i_0_330,i_0_547,i_0_526,i_0_346,i_0_321,i_0_385,i_0_401]) ).
cnf(i_0_571,plain,
sdtasdt0(xn,xm) != xm,
inference(scs_inference,[],[i_0_330,i_0_547,i_0_526,i_0_346,i_0_288,i_0_321,i_0_385,i_0_401,i_0_402]) ).
cnf(i_0_572,plain,
~ sdtlseqdt0(sdtpldt0(xk,esk15_0),xn),
inference(scs_inference,[],[i_0_330,i_0_547,i_0_526,i_0_332,i_0_346,i_0_288,i_0_321,i_0_385,i_0_401,i_0_402,i_0_405]) ).
cnf(i_0_573,plain,
sdtasdt0(xn,xm) != esk18_0,
inference(scs_inference,[],[i_0_330,i_0_475,i_0_547,i_0_526,i_0_332,i_0_346,i_0_288,i_0_321,i_0_385,i_0_401,i_0_402,i_0_405,i_0_386]) ).
cnf(i_0_574,plain,
aNaturalNumber0(sdtmndt0(xk,xr)),
inference(scs_inference,[],[i_0_330,i_0_475,i_0_547,i_0_360,i_0_526,i_0_332,i_0_495,i_0_346,i_0_288,i_0_321,i_0_385,i_0_401,i_0_402,i_0_405,i_0_386,i_0_403]) ).
cnf(i_0_575,plain,
~ sdtlseqdt0(sdtpldt0(xk,esk15_0),sdtpldt0(sdtsldt0(xn,xr),esk19_0)),
inference(scs_inference,[],[i_0_330,i_0_475,i_0_547,i_0_360,i_0_526,i_0_332,i_0_495,i_0_346,i_0_289,i_0_288,i_0_321,i_0_385,i_0_401,i_0_402,i_0_405,i_0_386,i_0_403,i_0_406]) ).
cnf(i_0_576,plain,
sdtlseqdt0(sdtsldt0(xn,xr),esk18_0),
inference(scs_inference,[],[i_0_330,i_0_475,i_0_547,i_0_310,i_0_357,i_0_360,i_0_526,i_0_332,i_0_495,i_0_346,i_0_289,i_0_288,i_0_321,i_0_385,i_0_401,i_0_402,i_0_405,i_0_386,i_0_403,i_0_406,i_0_297]) ).
cnf(i_0_578,plain,
aNaturalNumber0(sdtmndt0(esk9_0,esk9_0)),
inference(scs_inference,[],[i_0_330,i_0_475,i_0_547,i_0_310,i_0_357,i_0_360,i_0_364,i_0_526,i_0_332,i_0_495,i_0_346,i_0_289,i_0_549,i_0_288,i_0_321,i_0_385,i_0_401,i_0_402,i_0_405,i_0_386,i_0_403,i_0_406,i_0_297,i_0_461]) ).
cnf(i_0_580,plain,
esk15_0 = sdtmndt0(xp,xk),
inference(scs_inference,[],[i_0_330,i_0_475,i_0_547,i_0_358,i_0_310,i_0_357,i_0_360,i_0_364,i_0_367,i_0_366,i_0_526,i_0_332,i_0_495,i_0_346,i_0_289,i_0_342,i_0_549,i_0_288,i_0_321,i_0_385,i_0_401,i_0_402,i_0_405,i_0_386,i_0_403,i_0_406,i_0_297,i_0_461,i_0_249]) ).
cnf(i_0_782,plain,
sdtlseqdt0(sdtmndt0(xp,xm),sdtmndt0(xp,xm)),
inference(scs_inference,[],[i_0_537,i_0_321]) ).
cnf(i_0_784,plain,
xp = sdtpldt0(xn,esk10_0),
inference(scs_inference,[],[i_0_537,i_0_348,i_0_321,i_0_385]) ).
cnf(i_0_2330,plain,
esk3_1(sdtasdt0(xp,esk9_0)) = esk3_1(sdtasdt0(xn,xm)),
inference(scs_inference,[],[i_0_539,i_0_389]) ).
cnf(i_0_2331,plain,
esk5_3(sdtasdt0(xp,esk9_0),X1,X2) = esk5_3(sdtasdt0(xn,xm),X1,X2),
inference(scs_inference,[],[i_0_539,i_0_389,i_0_390]) ).
cnf(i_0_2332,plain,
esk5_3(X1,sdtasdt0(xp,esk9_0),X2) = esk5_3(X1,sdtasdt0(xn,xm),X2),
inference(scs_inference,[],[i_0_539,i_0_389,i_0_390,i_0_391]) ).
cnf(i_0_2333,plain,
esk5_3(X1,X2,sdtasdt0(xp,esk9_0)) = esk5_3(X1,X2,sdtasdt0(xn,xm)),
inference(scs_inference,[],[i_0_539,i_0_389,i_0_390,i_0_391,i_0_392]) ).
cnf(i_0_2334,plain,
sdtsldt0(sdtasdt0(xp,esk9_0),X1) = sdtsldt0(sdtasdt0(xn,xm),X1),
inference(scs_inference,[],[i_0_539,i_0_389,i_0_390,i_0_391,i_0_392,i_0_395]) ).
cnf(i_0_2335,plain,
sdtsldt0(X1,sdtasdt0(xp,esk9_0)) = sdtsldt0(X1,sdtasdt0(xn,xm)),
inference(scs_inference,[],[i_0_539,i_0_389,i_0_390,i_0_391,i_0_392,i_0_395,i_0_396]) ).
cnf(i_0_2336,plain,
sdtmndt0(X1,sdtasdt0(xp,esk9_0)) = sdtmndt0(X1,sdtasdt0(xn,xm)),
inference(scs_inference,[],[i_0_539,i_0_389,i_0_390,i_0_391,i_0_392,i_0_395,i_0_396,i_0_398]) ).
cnf(i_0_2337,plain,
esk20_0 = sdtasdt0(sz10,esk20_0),
inference(scs_inference,[],[i_0_355,i_0_539,i_0_389,i_0_390,i_0_391,i_0_392,i_0_395,i_0_396,i_0_398,i_0_326]) ).
cnf(i_0_2339,plain,
esk20_0 = sdtpldt0(sz00,esk20_0),
inference(scs_inference,[],[i_0_355,i_0_539,i_0_389,i_0_390,i_0_391,i_0_392,i_0_395,i_0_396,i_0_398,i_0_326,i_0_327]) ).
cnf(i_0_2341,plain,
sdtpldt0(xp,esk20_0) != xm,
inference(scs_inference,[],[i_0_355,i_0_539,i_0_389,i_0_390,i_0_391,i_0_392,i_0_395,i_0_396,i_0_398,i_0_326,i_0_327,i_0_301]) ).
cnf(i_0_2343,plain,
sdtpldt0(xp,esk20_0) != xn,
inference(scs_inference,[],[i_0_355,i_0_539,i_0_389,i_0_390,i_0_391,i_0_392,i_0_395,i_0_396,i_0_398,i_0_326,i_0_327,i_0_301,i_0_302]) ).
cnf(i_0_2345,plain,
xm != sdtasdt0(xp,esk20_0),
inference(scs_inference,[],[i_0_355,i_0_539,i_0_389,i_0_390,i_0_391,i_0_392,i_0_395,i_0_396,i_0_398,i_0_326,i_0_327,i_0_301,i_0_302,i_0_303]) ).
cnf(i_0_2347,plain,
sdtasdt0(esk20_0,sz00) = sz00,
inference(scs_inference,[],[i_0_355,i_0_539,i_0_389,i_0_390,i_0_391,i_0_392,i_0_395,i_0_396,i_0_398,i_0_326,i_0_327,i_0_301,i_0_302,i_0_303,i_0_328]) ).
cnf(i_0_2349,plain,
sz00 = sdtasdt0(sz00,esk20_0),
inference(scs_inference,[],[i_0_355,i_0_539,i_0_389,i_0_390,i_0_391,i_0_392,i_0_395,i_0_396,i_0_398,i_0_326,i_0_327,i_0_301,i_0_302,i_0_303,i_0_328,i_0_329]) ).
cnf(i_0_591,plain,
sdtlseqdt0(sdtmndt0(esk9_0,esk9_0),sdtmndt0(esk9_0,esk9_0)),
inference(scs_inference,[],[i_0_578,i_0_321]) ).
cnf(i_0_593,plain,
sdtmndt0(xk,xr) = esk13_0,
inference(scs_inference,[],[i_0_578,i_0_495,i_0_321,i_0_385]) ).
cnf(i_0_594,plain,
~ sdtlseqdt0(sdtpldt0(xn,esk10_0),xm),
inference(scs_inference,[],[i_0_578,i_0_331,i_0_495,i_0_348,i_0_321,i_0_385,i_0_405]) ).
cnf(i_0_595,plain,
~ doDivides0(sdtpldt0(xn,esk10_0),xm),
inference(scs_inference,[],[i_0_330,i_0_578,i_0_331,i_0_495,i_0_348,i_0_321,i_0_385,i_0_405,i_0_401]) ).
cnf(i_0_596,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) != xm,
inference(scs_inference,[],[i_0_330,i_0_578,i_0_331,i_0_495,i_0_348,i_0_256,i_0_321,i_0_385,i_0_405,i_0_401,i_0_402]) ).
cnf(i_0_597,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) != esk18_0,
inference(scs_inference,[],[i_0_330,i_0_507,i_0_578,i_0_526,i_0_331,i_0_495,i_0_348,i_0_256,i_0_321,i_0_385,i_0_405,i_0_401,i_0_402,i_0_386]) ).
cnf(i_0_598,plain,
aNaturalNumber0(sdtpldt0(xr,esk13_0)),
inference(scs_inference,[],[i_0_330,i_0_364,i_0_507,i_0_578,i_0_534,i_0_526,i_0_331,i_0_495,i_0_348,i_0_256,i_0_321,i_0_385,i_0_405,i_0_401,i_0_402,i_0_386,i_0_403]) ).
cnf(i_0_599,plain,
sdtlseqdt0(esk9_0,sdtpldt0(xr,esk13_0)),
inference(scs_inference,[],[i_0_330,i_0_505,i_0_364,i_0_507,i_0_578,i_0_534,i_0_526,i_0_331,i_0_495,i_0_348,i_0_256,i_0_321,i_0_385,i_0_405,i_0_401,i_0_402,i_0_386,i_0_403,i_0_297]) ).
cnf(i_0_601,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(esk9_0,esk9_0),sdtmndt0(esk9_0,esk9_0))),
inference(scs_inference,[],[i_0_330,i_0_505,i_0_364,i_0_507,i_0_578,i_0_534,i_0_526,i_0_331,i_0_495,i_0_348,i_0_256,i_0_321,i_0_385,i_0_405,i_0_401,i_0_402,i_0_386,i_0_403,i_0_297,i_0_461]) ).
cnf(i_0_609,plain,
sdtlseqdt0(xk,xk),
inference(scs_inference,[],[i_0_330,i_0_505,i_0_364,i_0_507,i_0_578,i_0_534,i_0_366,i_0_526,i_0_331,i_0_495,i_0_348,i_0_541,i_0_549,i_0_512,i_0_256,i_0_321,i_0_385,i_0_405,i_0_401,i_0_402,i_0_386,i_0_403,i_0_297,i_0_461,i_0_455,i_0_264,i_0_255,i_0_251]) ).
cnf(i_0_611,plain,
esk10_0 = sdtmndt0(xp,xn),
inference(scs_inference,[],[i_0_330,i_0_505,i_0_364,i_0_507,i_0_578,i_0_534,i_0_363,i_0_369,i_0_367,i_0_366,i_0_526,i_0_331,i_0_495,i_0_348,i_0_344,i_0_541,i_0_549,i_0_512,i_0_256,i_0_321,i_0_385,i_0_405,i_0_401,i_0_402,i_0_386,i_0_403,i_0_297,i_0_461,i_0_455,i_0_264,i_0_255,i_0_251,i_0_249]) ).
cnf(i_0_1081,plain,
sdtmndt0(xp,xk) = esk15_0,
inference(scs_inference,[],[i_0_368,i_0_580,i_0_321,i_0_385]) ).
cnf(i_0_2480,plain,
esk3_1(esk20_0) = esk3_1(sdtasdt0(sz10,esk20_0)),
inference(scs_inference,[],[i_0_359,i_0_2337,i_0_326,i_0_327,i_0_301,i_0_302,i_0_303,i_0_328,i_0_329,i_0_275,i_0_389]) ).
cnf(i_0_2481,plain,
esk5_3(esk20_0,X1,X2) = esk5_3(sdtasdt0(sz10,esk20_0),X1,X2),
inference(scs_inference,[],[i_0_359,i_0_2337,i_0_326,i_0_327,i_0_301,i_0_302,i_0_303,i_0_328,i_0_329,i_0_275,i_0_389,i_0_390]) ).
cnf(i_0_2482,plain,
esk5_3(X1,esk20_0,X2) = esk5_3(X1,sdtasdt0(sz10,esk20_0),X2),
inference(scs_inference,[],[i_0_359,i_0_2337,i_0_326,i_0_327,i_0_301,i_0_302,i_0_303,i_0_328,i_0_329,i_0_275,i_0_389,i_0_390,i_0_391]) ).
cnf(i_0_2483,plain,
esk5_3(X1,X2,esk20_0) = esk5_3(X1,X2,sdtasdt0(sz10,esk20_0)),
inference(scs_inference,[],[i_0_359,i_0_2337,i_0_326,i_0_327,i_0_301,i_0_302,i_0_303,i_0_328,i_0_329,i_0_275,i_0_389,i_0_390,i_0_391,i_0_392]) ).
cnf(i_0_2484,plain,
sdtsldt0(esk20_0,X1) = sdtsldt0(sdtasdt0(sz10,esk20_0),X1),
inference(scs_inference,[],[i_0_359,i_0_2337,i_0_326,i_0_327,i_0_301,i_0_302,i_0_303,i_0_328,i_0_329,i_0_275,i_0_389,i_0_390,i_0_391,i_0_392,i_0_395]) ).
cnf(i_0_2485,plain,
sdtsldt0(X1,esk20_0) = sdtsldt0(X1,sdtasdt0(sz10,esk20_0)),
inference(scs_inference,[],[i_0_359,i_0_2337,i_0_326,i_0_327,i_0_301,i_0_302,i_0_303,i_0_328,i_0_329,i_0_275,i_0_389,i_0_390,i_0_391,i_0_392,i_0_395,i_0_396]) ).
cnf(i_0_2486,plain,
sdtmndt0(X1,esk20_0) = sdtmndt0(X1,sdtasdt0(sz10,esk20_0)),
inference(scs_inference,[],[i_0_359,i_0_2337,i_0_326,i_0_327,i_0_301,i_0_302,i_0_303,i_0_328,i_0_329,i_0_275,i_0_389,i_0_390,i_0_391,i_0_392,i_0_395,i_0_396,i_0_398]) ).
cnf(i_0_617,plain,
~ sdtlseqdt0(sdtpldt0(xk,esk15_0),sdtpldt0(sdtsldt0(xn,xr),esk19_0)),
inference(equality_inference,[],[613]) ).
cnf(i_0_618,plain,
sdtlseqdt0(sdtpldt0(xr,esk13_0),sdtpldt0(xr,esk13_0)),
inference(scs_inference,[],[i_0_598,i_0_321]) ).
cnf(i_0_620,plain,
sdtasdt0(xr,sdtsldt0(xn,xr)) = xn,
inference(scs_inference,[],[i_0_598,i_0_296,i_0_321,i_0_385]) ).
cnf(i_0_621,plain,
~ sdtlseqdt0(sdtpldt0(xm,esk11_0),xn),
inference(scs_inference,[],[i_0_598,i_0_332,i_0_296,i_0_347,i_0_321,i_0_385,i_0_405]) ).
cnf(i_0_622,plain,
~ doDivides0(sdtpldt0(xm,esk11_0),xm),
inference(scs_inference,[],[i_0_330,i_0_598,i_0_332,i_0_296,i_0_347,i_0_321,i_0_385,i_0_405,i_0_401]) ).
cnf(i_0_623,plain,
~ doDivides0(sdtpldt0(xn,esk10_0),esk18_0),
inference(scs_inference,[],[i_0_330,i_0_598,i_0_535,i_0_526,i_0_332,i_0_296,i_0_347,i_0_321,i_0_385,i_0_405,i_0_401,i_0_402]) ).
cnf(i_0_624,plain,
aNaturalNumber0(sdtmndt0(xp,xn)),
inference(scs_inference,[],[i_0_330,i_0_598,i_0_535,i_0_363,i_0_526,i_0_332,i_0_296,i_0_347,i_0_611,i_0_321,i_0_385,i_0_405,i_0_401,i_0_402,i_0_403]) ).
cnf(i_0_625,plain,
sdtpldt0(sdtsldt0(xn,xr),esk19_0) = sdtasdt0(xr,sdtsldt0(xn,xr)),
inference(scs_inference,[],[i_0_330,i_0_598,i_0_535,i_0_363,i_0_526,i_0_332,i_0_296,i_0_347,i_0_289,i_0_611,i_0_321,i_0_385,i_0_405,i_0_401,i_0_402,i_0_403,i_0_386]) ).
cnf(i_0_626,plain,
~ sdtlseqdt0(sdtpldt0(xm,esk11_0),sdtpldt0(sdtsldt0(xn,xr),esk19_0)),
inference(scs_inference,[],[i_0_330,i_0_598,i_0_535,i_0_363,i_0_526,i_0_332,i_0_296,i_0_347,i_0_289,i_0_611,i_0_321,i_0_385,i_0_405,i_0_401,i_0_402,i_0_403,i_0_386,i_0_406]) ).
cnf(i_0_627,plain,
sdtlseqdt0(esk18_0,sdtsldt0(xn,xr)),
inference(scs_inference,[],[i_0_330,i_0_598,i_0_535,i_0_569,i_0_363,i_0_310,i_0_357,i_0_526,i_0_332,i_0_296,i_0_347,i_0_289,i_0_611,i_0_321,i_0_385,i_0_405,i_0_401,i_0_402,i_0_403,i_0_386,i_0_406,i_0_297]) ).
cnf(i_0_629,plain,
aNaturalNumber0(sdtmndt0(sdtpldt0(xr,esk13_0),sdtpldt0(xr,esk13_0))),
inference(scs_inference,[],[i_0_330,i_0_598,i_0_535,i_0_569,i_0_363,i_0_310,i_0_357,i_0_526,i_0_332,i_0_296,i_0_347,i_0_289,i_0_611,i_0_321,i_0_385,i_0_405,i_0_401,i_0_402,i_0_403,i_0_386,i_0_406,i_0_297,i_0_461]) ).
cnf(i_0_633,plain,
sdtlseqdt0(esk18_0,esk18_0),
inference(scs_inference,[],[i_0_330,i_0_598,i_0_535,i_0_569,i_0_363,i_0_310,i_0_357,i_0_526,i_0_332,i_0_296,i_0_347,i_0_289,i_0_576,i_0_611,i_0_321,i_0_385,i_0_405,i_0_401,i_0_402,i_0_403,i_0_386,i_0_406,i_0_297,i_0_461,i_0_455,i_0_251]) ).
cnf(c_0_552,hypothesis,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
i_0_230 ).
cnf(c_0_553,plain,
esk18_0 = sdtsldt0(xn,xr),
i_0_526 ).
cnf(c_0_554,hypothesis,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp),
i_0_232 ).
cnf(c_0_555,hypothesis,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
i_0_256 ).
cnf(c_0_556,hypothesis,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,esk20_0),
i_0_276 ).
cnf(c_0_557,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2) ),
i_0_269 ).
cnf(c_0_558,hypothesis,
sdtlseqdt0(sdtpldt0(sdtpldt0(esk18_0,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(rw,[status(thm)],[c_0_552,c_0_553]) ).
cnf(c_0_559,hypothesis,
sdtpldt0(sdtpldt0(esk18_0,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp),
inference(rw,[status(thm)],[c_0_554,c_0_553]) ).
cnf(c_0_560,hypothesis,
doDivides0(xp,sdtasdt0(esk18_0,xm)),
inference(rw,[status(thm)],[c_0_555,c_0_553]) ).
cnf(c_0_561,hypothesis,
sdtasdt0(esk18_0,xm) = sdtasdt0(xp,esk20_0),
inference(rw,[status(thm)],[c_0_556,c_0_553]) ).
cnf(c_0_562,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) ),
i_0_228 ).
cnf(c_0_563,plain,
( iLess0(sdtpldt0(sdtpldt0(esk18_0,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(esk18_0,xm),xp)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_558]),c_0_559]) ).
cnf(c_0_564,hypothesis,
isPrime0(xp),
i_0_353 ).
cnf(c_0_565,hypothesis,
aNaturalNumber0(esk18_0),
i_0_357 ).
cnf(c_0_566,hypothesis,
aNaturalNumber0(xm),
i_0_368 ).
cnf(c_0_567,hypothesis,
aNaturalNumber0(xp),
i_0_367 ).
cnf(c_0_568,hypothesis,
doDivides0(xp,sdtasdt0(xp,esk20_0)),
inference(rw,[status(thm)],[c_0_560,c_0_561]) ).
cnf(c_0_569,plain,
~ doDivides0(xp,esk18_0),
i_0_536 ).
cnf(c_0_570,negated_conjecture,
~ doDivides0(xp,xm),
i_0_330 ).
cnf(c_0_571,hypothesis,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(esk18_0,xm),xp)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_563]),c_0_564]),c_0_565]),c_0_566]),c_0_567]),c_0_561]),c_0_568])]),c_0_569]),c_0_570]) ).
cnf(c_0_572,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_274 ).
cnf(c_0_573,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(esk18_0,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_572]),c_0_567])]) ).
cnf(c_0_574,plain,
( ~ aNaturalNumber0(sdtpldt0(esk18_0,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_572]),c_0_567])]) ).
cnf(c_0_575,plain,
~ aNaturalNumber0(sdtpldt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_572]),c_0_566]),c_0_565])]) ).
cnf(c_0_576,hypothesis,
aNaturalNumber0(xn),
i_0_369 ).
cnf(c_0_577,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_575,c_0_572]),c_0_566]),c_0_576])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM517+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n018.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 00:41:17 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 180.30/128.81 % Version : CSE_E---1.7
% 180.30/128.81 % Problem : theBenchmark.p
% 180.30/128.81 % SZS status Theorem for theBenchmark.p
% 180.30/128.81 % SZS output start CNFRefutation
% See solution above
% 188.30/136.86 % Total time : 128.231s
%------------------------------------------------------------------------------