%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM519+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 : n008.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 1.49s 5.63s
% Output : CNFRefutation 1.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 103)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xp,X1) )
| doDivides0(xp,xn)
| ? [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(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(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__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(m__2698,hypothesis,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xr,X1) )
| doDivides0(xr,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2698) ).
fof(m__2487,hypothesis,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xr,X1) )
| doDivides0(xr,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).
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__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_52,negated_conjecture,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xp,X1) )
| doDivides0(xp,xn)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
| doDivides0(xp,xm) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(i_0_53,hypothesis,
! [X197,X198,X199,X202] :
( ( aNaturalNumber0(esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| aNaturalNumber0(esk5_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| aNaturalNumber0(esk5_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| aNaturalNumber0(esk5_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| aNaturalNumber0(esk5_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| aNaturalNumber0(esk5_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| aNaturalNumber0(esk5_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| aNaturalNumber0(esk5_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| aNaturalNumber0(esk5_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| aNaturalNumber0(esk5_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| aNaturalNumber0(esk5_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| aNaturalNumber0(esk5_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| aNaturalNumber0(esk5_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| aNaturalNumber0(esk5_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| aNaturalNumber0(esk5_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| aNaturalNumber0(esk5_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| aNaturalNumber0(esk5_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| aNaturalNumber0(esk5_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| aNaturalNumber0(esk5_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| aNaturalNumber0(esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| aNaturalNumber0(esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| aNaturalNumber0(esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| aNaturalNumber0(esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| aNaturalNumber0(esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| aNaturalNumber0(esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| aNaturalNumber0(esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| aNaturalNumber0(esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| aNaturalNumber0(esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| aNaturalNumber0(esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| aNaturalNumber0(esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| aNaturalNumber0(esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| aNaturalNumber0(esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| aNaturalNumber0(esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| aNaturalNumber0(esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| aNaturalNumber0(esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| aNaturalNumber0(esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| aNaturalNumber0(esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| X199 = sdtasdt0(esk5_3(X197,X198,X199),esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| X199 = sdtasdt0(esk5_3(X197,X198,X199),esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| X199 = sdtasdt0(esk5_3(X197,X198,X199),esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| X199 = sdtasdt0(esk5_3(X197,X198,X199),esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| X199 = sdtasdt0(esk5_3(X197,X198,X199),esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| X199 = sdtasdt0(esk5_3(X197,X198,X199),esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| X199 = sdtasdt0(esk5_3(X197,X198,X199),esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| X199 = sdtasdt0(esk5_3(X197,X198,X199),esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| X199 = sdtasdt0(esk5_3(X197,X198,X199),esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| X199 = sdtasdt0(esk5_3(X197,X198,X199),esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| X199 = sdtasdt0(esk5_3(X197,X198,X199),esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| X199 = sdtasdt0(esk5_3(X197,X198,X199),esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| X199 = sdtasdt0(esk5_3(X197,X198,X199),esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| X199 = sdtasdt0(esk5_3(X197,X198,X199),esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| X199 = sdtasdt0(esk5_3(X197,X198,X199),esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| X199 = sdtasdt0(esk5_3(X197,X198,X199),esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| X199 = sdtasdt0(esk5_3(X197,X198,X199),esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| X199 = sdtasdt0(esk5_3(X197,X198,X199),esk6_3(X197,X198,X199))
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| doDivides0(esk5_3(X197,X198,X199),X199)
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| doDivides0(esk5_3(X197,X198,X199),X199)
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| doDivides0(esk5_3(X197,X198,X199),X199)
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| doDivides0(esk5_3(X197,X198,X199),X199)
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| doDivides0(esk5_3(X197,X198,X199),X199)
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| doDivides0(esk5_3(X197,X198,X199),X199)
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| doDivides0(esk5_3(X197,X198,X199),X199)
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| doDivides0(esk5_3(X197,X198,X199),X199)
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| doDivides0(esk5_3(X197,X198,X199),X199)
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| doDivides0(esk5_3(X197,X198,X199),X199)
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| doDivides0(esk5_3(X197,X198,X199),X199)
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| doDivides0(esk5_3(X197,X198,X199),X199)
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| doDivides0(esk5_3(X197,X198,X199),X199)
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| doDivides0(esk5_3(X197,X198,X199),X199)
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| doDivides0(esk5_3(X197,X198,X199),X199)
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| doDivides0(esk5_3(X197,X198,X199),X199)
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| doDivides0(esk5_3(X197,X198,X199),X199)
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| doDivides0(esk5_3(X197,X198,X199),X199)
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| esk5_3(X197,X198,X199) != sz10
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| esk5_3(X197,X198,X199) != sz10
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| esk5_3(X197,X198,X199) != sz10
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| esk5_3(X197,X198,X199) != sz10
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| esk5_3(X197,X198,X199) != sz10
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| esk5_3(X197,X198,X199) != sz10
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| esk5_3(X197,X198,X199) != sz10
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| esk5_3(X197,X198,X199) != sz10
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| esk5_3(X197,X198,X199) != sz10
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| esk5_3(X197,X198,X199) != sz10
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| esk5_3(X197,X198,X199) != sz10
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| esk5_3(X197,X198,X199) != sz10
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| esk5_3(X197,X198,X199) != sz10
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| esk5_3(X197,X198,X199) != sz10
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| esk5_3(X197,X198,X199) != sz10
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| esk5_3(X197,X198,X199) != sz10
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| esk5_3(X197,X198,X199) != sz10
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| esk5_3(X197,X198,X199) != sz10
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| esk5_3(X197,X198,X199) != X199
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| esk5_3(X197,X198,X199) != X199
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| esk5_3(X197,X198,X199) != X199
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| esk5_3(X197,X198,X199) != X199
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| esk5_3(X197,X198,X199) != X199
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| esk5_3(X197,X198,X199) != X199
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| esk5_3(X197,X198,X199) != X199
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| esk5_3(X197,X198,X199) != X199
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| esk5_3(X197,X198,X199) != X199
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| esk5_3(X197,X198,X199) != X199
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| esk5_3(X197,X198,X199) != X199
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| esk5_3(X197,X198,X199) != X199
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| esk5_3(X197,X198,X199) != X199
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| esk5_3(X197,X198,X199) != X199
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| esk5_3(X197,X198,X199) != X199
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| esk5_3(X197,X198,X199) != X199
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| esk5_3(X197,X198,X199) != X199
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| esk5_3(X197,X198,X199) != X199
| X199 = sz00
| X199 = sz10
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| ~ isPrime0(X199)
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| ~ isPrime0(X199)
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| ~ isPrime0(X199)
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| ~ isPrime0(X199)
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| ~ isPrime0(X199)
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| ~ isPrime0(X199)
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| ~ isPrime0(X199)
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| ~ isPrime0(X199)
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X202)
| sdtasdt0(X197,X198) != sdtasdt0(X199,X202)
| ~ isPrime0(X199)
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| ~ isPrime0(X199)
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| ~ isPrime0(X199)
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| aNaturalNumber0(esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| ~ isPrime0(X199)
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| ~ isPrime0(X199)
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| ~ isPrime0(X199)
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| X197 = sdtasdt0(X199,esk7_3(X197,X198,X199))
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| ~ isPrime0(X199)
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( aNaturalNumber0(esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| ~ isPrime0(X199)
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( X198 = sdtasdt0(X199,esk8_3(X197,X198,X199))
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| ~ isPrime0(X199)
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) )
& ( doDivides0(X199,X198)
| doDivides0(X199,X197)
| ~ iLess0(sdtpldt0(sdtpldt0(X197,X198),X199),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X199,sdtasdt0(X197,X198))
| ~ isPrime0(X199)
| ~ aNaturalNumber0(X197)
| ~ aNaturalNumber0(X198)
| ~ aNaturalNumber0(X199) ) ),
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_54,plain,
! [X132,X133,X134] :
( ( sdtasdt0(X132,sdtpldt0(X133,X134)) = sdtpldt0(sdtasdt0(X132,X133),sdtasdt0(X132,X134))
| ~ aNaturalNumber0(X132)
| ~ aNaturalNumber0(X133)
| ~ aNaturalNumber0(X134) )
& ( sdtasdt0(sdtpldt0(X133,X134),X132) = sdtpldt0(sdtasdt0(X133,X132),sdtasdt0(X134,X132))
| ~ aNaturalNumber0(X132)
| ~ aNaturalNumber0(X133)
| ~ aNaturalNumber0(X134) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
fof(i_0_55,plain,
! [X189,X190,X191] :
( ~ aNaturalNumber0(X189)
| ~ aNaturalNumber0(X190)
| X189 = sz00
| ~ doDivides0(X189,X190)
| ~ aNaturalNumber0(X191)
| sdtasdt0(X191,sdtsldt0(X190,X189)) = sdtsldt0(sdtasdt0(X191,X190),X189) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivAsso])])]) ).
fof(i_0_56,plain,
! [X184,X185,X186] :
( ~ aNaturalNumber0(X184)
| ~ aNaturalNumber0(X185)
| ~ aNaturalNumber0(X186)
| ~ doDivides0(X184,X185)
| ~ doDivides0(X184,sdtpldt0(X185,X186))
| doDivides0(X184,X186) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivMin])]) ).
fof(i_0_57,plain,
! [X163,X164,X165] :
( ( sdtasdt0(X163,X164) != sdtasdt0(X163,X165)
| X163 = sz00
| X164 = X165
| ~ sdtlseqdt0(X164,X165)
| ~ aNaturalNumber0(X163)
| ~ aNaturalNumber0(X164)
| ~ aNaturalNumber0(X165) )
& ( sdtlseqdt0(sdtasdt0(X163,X164),sdtasdt0(X163,X165))
| X163 = sz00
| X164 = X165
| ~ sdtlseqdt0(X164,X165)
| ~ aNaturalNumber0(X163)
| ~ aNaturalNumber0(X164)
| ~ aNaturalNumber0(X165) )
& ( sdtasdt0(X164,X163) != sdtasdt0(X165,X163)
| X163 = sz00
| X164 = X165
| ~ sdtlseqdt0(X164,X165)
| ~ aNaturalNumber0(X163)
| ~ aNaturalNumber0(X164)
| ~ aNaturalNumber0(X165) )
& ( sdtlseqdt0(sdtasdt0(X164,X163),sdtasdt0(X165,X163))
| X163 = sz00
| X164 = X165
| ~ sdtlseqdt0(X164,X165)
| ~ aNaturalNumber0(X163)
| ~ aNaturalNumber0(X164)
| ~ aNaturalNumber0(X165) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul])])]) ).
fof(i_0_58,plain,
! [X160,X161,X162] :
( ( sdtpldt0(X162,X160) != sdtpldt0(X162,X161)
| ~ aNaturalNumber0(X162)
| X160 = X161
| ~ sdtlseqdt0(X160,X161)
| ~ aNaturalNumber0(X160)
| ~ aNaturalNumber0(X161) )
& ( sdtlseqdt0(sdtpldt0(X162,X160),sdtpldt0(X162,X161))
| ~ aNaturalNumber0(X162)
| X160 = X161
| ~ sdtlseqdt0(X160,X161)
| ~ aNaturalNumber0(X160)
| ~ aNaturalNumber0(X161) )
& ( sdtpldt0(X160,X162) != sdtpldt0(X161,X162)
| ~ aNaturalNumber0(X162)
| X160 = X161
| ~ sdtlseqdt0(X160,X161)
| ~ aNaturalNumber0(X160)
| ~ aNaturalNumber0(X161) )
& ( sdtlseqdt0(sdtpldt0(X160,X162),sdtpldt0(X161,X162))
| ~ aNaturalNumber0(X162)
| X160 = X161
| ~ sdtlseqdt0(X160,X161)
| ~ aNaturalNumber0(X160)
| ~ aNaturalNumber0(X161) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonAdd])])])]) ).
fof(i_0_59,plain,
! [X181,X182,X183] :
( ~ aNaturalNumber0(X181)
| ~ aNaturalNumber0(X182)
| ~ aNaturalNumber0(X183)
| ~ doDivides0(X181,X182)
| ~ doDivides0(X181,X183)
| doDivides0(X181,sdtpldt0(X182,X183)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivSum])]) ).
fof(i_0_60,plain,
! [X127,X128,X129] :
( ~ aNaturalNumber0(X127)
| ~ aNaturalNumber0(X128)
| ~ aNaturalNumber0(X129)
| sdtasdt0(sdtasdt0(X127,X128),X129) = sdtasdt0(X127,sdtasdt0(X128,X129)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(i_0_61,plain,
! [X121,X122,X123] :
( ~ aNaturalNumber0(X121)
| ~ aNaturalNumber0(X122)
| ~ aNaturalNumber0(X123)
| sdtpldt0(sdtpldt0(X121,X122),X123) = sdtpldt0(X121,sdtpldt0(X122,X123)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(i_0_62,plain,
! [X175,X176,X177] :
( ( aNaturalNumber0(X177)
| X177 != sdtsldt0(X176,X175)
| X175 = sz00
| ~ doDivides0(X175,X176)
| ~ aNaturalNumber0(X175)
| ~ aNaturalNumber0(X176) )
& ( X176 = sdtasdt0(X175,X177)
| X177 != sdtsldt0(X176,X175)
| X175 = sz00
| ~ doDivides0(X175,X176)
| ~ aNaturalNumber0(X175)
| ~ aNaturalNumber0(X176) )
& ( ~ aNaturalNumber0(X177)
| X176 != sdtasdt0(X175,X177)
| X177 = sdtsldt0(X176,X175)
| X175 = sz00
| ~ doDivides0(X175,X176)
| ~ aNaturalNumber0(X175)
| ~ aNaturalNumber0(X176) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefQuot])])])]) ).
fof(i_0_63,plain,
! [X149,X150,X151] :
( ( aNaturalNumber0(X151)
| X151 != sdtmndt0(X150,X149)
| ~ sdtlseqdt0(X149,X150)
| ~ aNaturalNumber0(X149)
| ~ aNaturalNumber0(X150) )
& ( sdtpldt0(X149,X151) = X150
| X151 != sdtmndt0(X150,X149)
| ~ sdtlseqdt0(X149,X150)
| ~ aNaturalNumber0(X149)
| ~ aNaturalNumber0(X150) )
& ( ~ aNaturalNumber0(X151)
| sdtpldt0(X149,X151) != X150
| X151 = sdtmndt0(X150,X149)
| ~ sdtlseqdt0(X149,X150)
| ~ aNaturalNumber0(X149)
| ~ aNaturalNumber0(X150) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])]) ).
fof(i_0_64,plain,
! [X178,X179,X180] :
( ~ aNaturalNumber0(X178)
| ~ aNaturalNumber0(X179)
| ~ aNaturalNumber0(X180)
| ~ doDivides0(X178,X179)
| ~ doDivides0(X179,X180)
| doDivides0(X178,X180) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])]) ).
fof(i_0_65,plain,
! [X155,X156,X157] :
( ~ aNaturalNumber0(X155)
| ~ aNaturalNumber0(X156)
| ~ aNaturalNumber0(X157)
| ~ sdtlseqdt0(X155,X156)
| ~ sdtlseqdt0(X156,X157)
| sdtlseqdt0(X155,X157) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETran])]) ).
fof(i_0_66,plain,
! [X145,X146,X148] :
( ( aNaturalNumber0(esk1_2(X145,X146))
| ~ sdtlseqdt0(X145,X146)
| ~ aNaturalNumber0(X145)
| ~ aNaturalNumber0(X146) )
& ( sdtpldt0(X145,esk1_2(X145,X146)) = X146
| ~ sdtlseqdt0(X145,X146)
| ~ aNaturalNumber0(X145)
| ~ aNaturalNumber0(X146) )
& ( ~ aNaturalNumber0(X148)
| sdtpldt0(X145,X148) != X146
| sdtlseqdt0(X145,X146)
| ~ aNaturalNumber0(X145)
| ~ aNaturalNumber0(X146) ) ),
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_67,plain,
! [X171,X172,X174] :
( ( aNaturalNumber0(esk2_2(X171,X172))
| ~ doDivides0(X171,X172)
| ~ aNaturalNumber0(X171)
| ~ aNaturalNumber0(X172) )
& ( X172 = sdtasdt0(X171,esk2_2(X171,X172))
| ~ doDivides0(X171,X172)
| ~ aNaturalNumber0(X171)
| ~ aNaturalNumber0(X172) )
& ( ~ aNaturalNumber0(X174)
| X172 != sdtasdt0(X171,X174)
| doDivides0(X171,X172)
| ~ aNaturalNumber0(X171)
| ~ aNaturalNumber0(X172) ) ),
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_68,plain,
! [X138,X139,X140] :
( ( sdtasdt0(X138,X139) != sdtasdt0(X138,X140)
| X139 = X140
| ~ aNaturalNumber0(X139)
| ~ aNaturalNumber0(X140)
| X138 = sz00
| ~ aNaturalNumber0(X138) )
& ( sdtasdt0(X139,X138) != sdtasdt0(X140,X138)
| X139 = X140
| ~ aNaturalNumber0(X139)
| ~ aNaturalNumber0(X140)
| X138 = sz00
| ~ aNaturalNumber0(X138) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulCanc])])])]) ).
fof(i_0_69,plain,
! [X135,X136,X137] :
( ( sdtpldt0(X135,X136) != sdtpldt0(X135,X137)
| X136 = X137
| ~ aNaturalNumber0(X135)
| ~ aNaturalNumber0(X136)
| ~ aNaturalNumber0(X137) )
& ( sdtpldt0(X136,X135) != sdtpldt0(X137,X135)
| X136 = X137
| ~ aNaturalNumber0(X135)
| ~ aNaturalNumber0(X136)
| ~ aNaturalNumber0(X137) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddCanc])])]) ).
fof(i_0_70,plain,
! [X153,X154] :
( ~ aNaturalNumber0(X153)
| ~ aNaturalNumber0(X154)
| ~ sdtlseqdt0(X153,X154)
| ~ sdtlseqdt0(X154,X153)
| X153 = X154 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])]) ).
fof(i_0_71,plain,
! [X167,X168] :
( ~ aNaturalNumber0(X167)
| ~ aNaturalNumber0(X168)
| X167 = sz00
| sdtlseqdt0(X168,sdtasdt0(X168,X167)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul2])]) ).
fof(i_0_72,plain,
! [X169,X170] :
( ~ aNaturalNumber0(X169)
| ~ aNaturalNumber0(X170)
| X169 = X170
| ~ sdtlseqdt0(X169,X170)
| iLess0(X169,X170) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH_03])]) ).
fof(i_0_73,plain,
! [X187,X188] :
( ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ doDivides0(X187,X188)
| X188 = sz00
| sdtlseqdt0(X187,X188) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivLE])]) ).
fof(i_0_74,plain,
! [X192,X193] :
( ( X192 != sz00
| ~ isPrime0(X192)
| ~ aNaturalNumber0(X192) )
& ( X192 != sz10
| ~ isPrime0(X192)
| ~ aNaturalNumber0(X192) )
& ( ~ aNaturalNumber0(X193)
| ~ doDivides0(X193,X192)
| X193 = sz10
| X193 = X192
| ~ isPrime0(X192)
| ~ aNaturalNumber0(X192) )
& ( aNaturalNumber0(esk3_1(X192))
| X192 = sz00
| X192 = sz10
| isPrime0(X192)
| ~ aNaturalNumber0(X192) )
& ( doDivides0(esk3_1(X192),X192)
| X192 = sz00
| X192 = sz10
| isPrime0(X192)
| ~ aNaturalNumber0(X192) )
& ( esk3_1(X192) != sz10
| X192 = sz00
| X192 = sz10
| isPrime0(X192)
| ~ aNaturalNumber0(X192) )
& ( esk3_1(X192) != X192
| X192 = sz00
| X192 = sz10
| isPrime0(X192)
| ~ aNaturalNumber0(X192) ) ),
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_75,plain,
! [X117,X118] :
( ~ aNaturalNumber0(X117)
| ~ aNaturalNumber0(X118)
| aNaturalNumber0(sdtasdt0(X117,X118)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(i_0_76,plain,
! [X115,X116] :
( ~ aNaturalNumber0(X115)
| ~ aNaturalNumber0(X116)
| aNaturalNumber0(sdtpldt0(X115,X116)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(i_0_77,plain,
! [X158,X159] :
( ( X159 != X158
| sdtlseqdt0(X158,X159)
| ~ aNaturalNumber0(X158)
| ~ aNaturalNumber0(X159) )
& ( sdtlseqdt0(X159,X158)
| sdtlseqdt0(X158,X159)
| ~ aNaturalNumber0(X158)
| ~ aNaturalNumber0(X159) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETotal])])]) ).
fof(i_0_78,plain,
! [X125,X126] :
( ~ aNaturalNumber0(X125)
| ~ aNaturalNumber0(X126)
| sdtasdt0(X125,X126) = sdtasdt0(X126,X125) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(i_0_79,plain,
! [X119,X120] :
( ~ aNaturalNumber0(X119)
| ~ aNaturalNumber0(X120)
| sdtpldt0(X119,X120) = sdtpldt0(X120,X119) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
fof(i_0_80,plain,
! [X143,X144] :
( ~ aNaturalNumber0(X143)
| ~ aNaturalNumber0(X144)
| sdtasdt0(X143,X144) != sz00
| X143 = sz00
| X144 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroMul])]) ).
fof(i_0_81,hypothesis,
! [X213,X214] :
( aNaturalNumber0(xr)
& aNaturalNumber0(esk12_0)
& xk = sdtasdt0(xr,esk12_0)
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ( ~ aNaturalNumber0(X214)
| xr != sdtasdt0(X213,X214)
| ~ aNaturalNumber0(X213)
| X213 = sz10
| X213 = xr )
& ( ~ doDivides0(X213,xr)
| ~ aNaturalNumber0(X213)
| X213 = sz10
| X213 = 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_82,hypothesis,
! [X205,X206] :
( xp != sz00
& xp != sz10
& ( ~ aNaturalNumber0(X206)
| xp != sdtasdt0(X205,X206)
| ~ aNaturalNumber0(X205)
| X205 = sz10
| X205 = xp )
& ( ~ doDivides0(X205,xp)
| ~ aNaturalNumber0(X205)
| X205 = sz10
| X205 = 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_83,plain,
! [X141,X142] :
( ( X141 = sz00
| sdtpldt0(X141,X142) != sz00
| ~ aNaturalNumber0(X141)
| ~ aNaturalNumber0(X142) )
& ( X142 = sz00
| sdtpldt0(X141,X142) != sz00
| ~ aNaturalNumber0(X141)
| ~ aNaturalNumber0(X142) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroAdd])])]) ).
fof(i_0_84,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_85,plain,
! [X195] :
( ( aNaturalNumber0(esk4_1(X195))
| ~ aNaturalNumber0(X195)
| X195 = sz00
| X195 = sz10 )
& ( doDivides0(esk4_1(X195),X195)
| ~ aNaturalNumber0(X195)
| X195 = sz00
| X195 = sz10 )
& ( isPrime0(esk4_1(X195))
| ~ aNaturalNumber0(X195)
| X195 = sz00
| X195 = sz10 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPrimDiv])])])]) ).
fof(i_0_86,hypothesis,
! [X209] :
( ( ~ aNaturalNumber0(X209)
| sdtpldt0(xp,X209) != xm )
& ~ sdtlseqdt0(xp,xm) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2075])])]) ).
fof(i_0_87,hypothesis,
! [X208] :
( ( ~ aNaturalNumber0(X208)
| sdtpldt0(xp,X208) != xn )
& ~ sdtlseqdt0(xp,xn) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1870])])]) ).
fof(i_0_88,hypothesis,
! [X221] :
( ( ~ aNaturalNumber0(X221)
| xm != sdtasdt0(xr,X221) )
& ~ doDivides0(xr,xm) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2698])])]) ).
fof(i_0_89,negated_conjecture,
! [X222,X223] :
( ( ~ aNaturalNumber0(X222)
| xn != sdtasdt0(xp,X222) )
& ~ doDivides0(xp,xn)
& ( ~ aNaturalNumber0(X223)
| xm != sdtasdt0(xp,X223) )
& ~ doDivides0(xp,xm) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_52])])]) ).
fof(i_0_90,hypothesis,
! [X220] :
( ( ~ aNaturalNumber0(X220)
| xn != sdtasdt0(xr,X220) )
& ~ doDivides0(xr,xn) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2487])])]) ).
fof(i_0_91,plain,
! [X166] :
( ( sz10 != X166
| X166 = sz00
| X166 = sz10
| ~ aNaturalNumber0(X166) )
& ( sdtlseqdt0(sz10,X166)
| X166 = sz00
| X166 = sz10
| ~ aNaturalNumber0(X166) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLENTr])])]) ).
fof(i_0_92,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_93,plain,
! [X152] :
( ~ aNaturalNumber0(X152)
| sdtlseqdt0(X152,X152) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERefl])]) ).
fof(i_0_94,plain,
! [X130] :
( ( sdtasdt0(X130,sz10) = X130
| ~ aNaturalNumber0(X130) )
& ( X130 = sdtasdt0(sz10,X130)
| ~ aNaturalNumber0(X130) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).
fof(i_0_95,plain,
! [X124] :
( ( sdtpldt0(X124,sz00) = X124
| ~ aNaturalNumber0(X124) )
& ( X124 = sdtpldt0(sz00,X124)
| ~ aNaturalNumber0(X124) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])]) ).
fof(i_0_96,plain,
! [X131] :
( ( sdtasdt0(X131,sz00) = sz00
| ~ aNaturalNumber0(X131) )
& ( sz00 = sdtasdt0(sz00,X131)
| ~ aNaturalNumber0(X131) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])]) ).
fof(i_0_97,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_98,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_99,hypothesis,
( xk != sz00
& xk != sz10 ),
inference(fof_nnf,[status(thm)],[m__2315]) ).
cnf(i_0_100,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_53]),
[final] ).
cnf(i_0_101,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_53]),
[final] ).
cnf(i_0_102,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_53]),
[final] ).
cnf(i_0_103,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_53]),
[final] ).
cnf(i_0_104,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_53]),
[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))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[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))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_107,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_53]),
[final] ).
cnf(i_0_108,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_53]),
[final] ).
cnf(i_0_109,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_53]),
[final] ).
cnf(i_0_110,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_53]),
[final] ).
cnf(i_0_111,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_53]),
[final] ).
cnf(i_0_112,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_53]),
[final] ).
cnf(i_0_113,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_53]),
[final] ).
cnf(i_0_114,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_53]),
[final] ).
cnf(i_0_115,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_53]),
[final] ).
cnf(i_0_116,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_53]),
[final] ).
cnf(i_0_117,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_53]),
[final] ).
cnf(i_0_118,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_53]),
[final] ).
cnf(i_0_119,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_53]),
[final] ).
cnf(i_0_120,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_53]),
[final] ).
cnf(i_0_121,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_53]),
[final] ).
cnf(i_0_122,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_53]),
[final] ).
cnf(i_0_123,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_53]),
[final] ).
cnf(i_0_124,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_53]),
[final] ).
cnf(i_0_125,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_53]),
[final] ).
cnf(i_0_126,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_53]),
[final] ).
cnf(i_0_127,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_53]),
[final] ).
cnf(i_0_128,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_53]),
[final] ).
cnf(i_0_129,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_53]),
[final] ).
cnf(i_0_130,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_53]),
[final] ).
cnf(i_0_131,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_53]),
[final] ).
cnf(i_0_132,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_53]),
[final] ).
cnf(i_0_133,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_53]),
[final] ).
cnf(i_0_134,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_53]),
[final] ).
cnf(i_0_135,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_53]),
[final] ).
cnf(i_0_136,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_53]),
[final] ).
cnf(i_0_137,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_53]),
[final] ).
cnf(i_0_138,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_53]),
[final] ).
cnf(i_0_139,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| esk5_3(X3,X1,X2) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_140,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_53]),
[final] ).
cnf(i_0_141,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_53]),
[final] ).
cnf(i_0_142,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_53]),
[final] ).
cnf(i_0_143,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_53]),
[final] ).
cnf(i_0_144,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| esk5_3(X3,X1,X2) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_145,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| esk5_3(X1,X2,X3) != sz10
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_146,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_53]),
[final] ).
cnf(i_0_147,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_53]),
[final] ).
cnf(i_0_148,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| esk5_3(X1,X2,X3) != X3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_149,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| esk5_3(X1,X2,X3) != sz10
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_150,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_53]),
[final] ).
cnf(i_0_151,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_53]),
[final] ).
cnf(i_0_152,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_53]),
[final] ).
cnf(i_0_153,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_53]),
[final] ).
cnf(i_0_154,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_53]),
[final] ).
cnf(i_0_155,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_53]),
[final] ).
cnf(i_0_156,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_53]),
[final] ).
cnf(i_0_157,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_53]),
[final] ).
cnf(i_0_158,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_53]),
[final] ).
cnf(i_0_159,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_53]),
[final] ).
cnf(i_0_160,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_53]),
[final] ).
cnf(i_0_161,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_53]),
[final] ).
cnf(i_0_162,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_53]),
[final] ).
cnf(i_0_163,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_53]),
[final] ).
cnf(i_0_164,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_53]),
[final] ).
cnf(i_0_165,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_53]),
[final] ).
cnf(i_0_166,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_53]),
[final] ).
cnf(i_0_167,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_53]),
[final] ).
cnf(i_0_168,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_53]),
[final] ).
cnf(i_0_169,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_53]),
[final] ).
cnf(i_0_170,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_53]),
[final] ).
cnf(i_0_171,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_53]),
[final] ).
cnf(i_0_172,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_53]),
[final] ).
cnf(i_0_173,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_53]),
[final] ).
cnf(i_0_174,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_53]),
[final] ).
cnf(i_0_175,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_53]),
[final] ).
cnf(i_0_176,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_53]),
[final] ).
cnf(i_0_177,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_53]),
[final] ).
cnf(i_0_178,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_53]),
[final] ).
cnf(i_0_179,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_53]),
[final] ).
cnf(i_0_180,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_53]),
[final] ).
cnf(i_0_181,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_53]),
[final] ).
cnf(i_0_182,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_53]),
[final] ).
cnf(i_0_183,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_53]),
[final] ).
cnf(i_0_184,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_53]),
[final] ).
cnf(i_0_185,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_53]),
[final] ).
cnf(i_0_186,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_53]),
[final] ).
cnf(i_0_187,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_53]),
[final] ).
cnf(i_0_188,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_53]),
[final] ).
cnf(i_0_189,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_53]),
[final] ).
cnf(i_0_190,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_53]),
[final] ).
cnf(i_0_191,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| esk5_3(X3,X2,X1) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_192,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| esk5_3(X3,X1,X2) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_193,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_53]),
[final] ).
cnf(i_0_194,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_53]),
[final] ).
cnf(i_0_195,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_53]),
[final] ).
cnf(i_0_196,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| esk5_3(X3,X2,X1) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_197,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| esk5_3(X1,X2,X3) != sz10
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_198,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_53]),
[final] ).
cnf(i_0_199,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_53]),
[final] ).
cnf(i_0_200,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_53]),
[final] ).
cnf(i_0_201,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_53]),
[final] ).
cnf(i_0_202,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_53]),
[final] ).
cnf(i_0_203,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_53]),
[final] ).
cnf(i_0_204,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_53]),
[final] ).
cnf(i_0_205,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_53]),
[final] ).
cnf(i_0_206,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_53]),
[final] ).
cnf(i_0_207,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_208,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_209,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| aNaturalNumber0(esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_210,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| aNaturalNumber0(esk5_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_211,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_53]),
[final] ).
cnf(i_0_212,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_213,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_214,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_53]),
[final] ).
cnf(i_0_215,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_53]),
[final] ).
cnf(i_0_216,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_53]),
[final] ).
cnf(i_0_217,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_53]),
[final] ).
cnf(i_0_218,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_53]),
[final] ).
cnf(i_0_219,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_53]),
[final] ).
cnf(i_0_220,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_53]),
[final] ).
cnf(i_0_221,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_53]),
[final] ).
cnf(i_0_222,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_53]),
[final] ).
cnf(i_0_223,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_53]),
[final] ).
cnf(i_0_224,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_53]),
[final] ).
cnf(i_0_225,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_53]),
[final] ).
cnf(i_0_226,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_54]),
[final] ).
cnf(i_0_227,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_54]),
[final] ).
cnf(i_0_228,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_55]),
[final] ).
cnf(i_0_229,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_56]),
[final] ).
cnf(i_0_230,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_57]),
[final] ).
cnf(i_0_231,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_57]),
[final] ).
cnf(i_0_232,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_58]),
[final] ).
cnf(i_0_233,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_58]),
[final] ).
cnf(i_0_234,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_59]),
[final] ).
cnf(i_0_235,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_236,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_237,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_57]),
[final] ).
cnf(i_0_238,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_57]),
[final] ).
cnf(i_0_239,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_58]),
[final] ).
cnf(i_0_240,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_58]),
[final] ).
cnf(i_0_241,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_62]),
[final] ).
cnf(i_0_242,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_63]),
[final] ).
cnf(i_0_243,plain,
( doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_244,plain,
( sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_245,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_246,plain,
( X1 = sdtasdt0(X2,esk2_2(X2,X1))
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_247,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_62]),
[final] ).
cnf(i_0_248,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_249,plain,
( X1 = X3
| X2 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_250,plain,
( X2 = X3
| X1 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_251,plain,
( X1 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_252,plain,
( X2 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_253,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_254,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_255,plain,
( aNaturalNumber0(X1)
| X3 = sz00
| X1 != sdtsldt0(X2,X3)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_256,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_257,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_258,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_259,plain,
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_260,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_261,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_262,plain,
( X2 = sz00
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_263,plain,
( X1 = sz10
| X1 = X2
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_264,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_265,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_266,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_267,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_268,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_269,plain,
( X1 = sz00
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_270,hypothesis,
( X2 = sz10
| X2 = xr
| ~ aNaturalNumber0(X1)
| xr != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_271,hypothesis,
( X2 = sz10
| X2 = xp
| ~ aNaturalNumber0(X1)
| xp != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_272,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_273,plain,
( X1 = sz00
| sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_274,plain,
( doDivides0(esk3_1(X1),X1)
| X1 = sz00
| X1 = sz10
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_275,hypothesis,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_276,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_277,hypothesis,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(split_conjunct,[status(thm)],[m__2306]),
[final] ).
cnf(i_0_278,plain,
( sdtlseqdt0(X2,X1)
| X1 != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_279,plain,
( doDivides0(esk4_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_280,hypothesis,
( X1 = sz10
| X1 = xr
| ~ doDivides0(X1,xr)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_281,hypothesis,
( X1 = sz10
| X1 = xp
| ~ doDivides0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_282,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,X1) != xm ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_283,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,X1) != xn ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_284,hypothesis,
( ~ aNaturalNumber0(X1)
| xm != sdtasdt0(xr,X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_285,negated_conjecture,
( ~ aNaturalNumber0(X1)
| xm != sdtasdt0(xp,X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_286,hypothesis,
( ~ aNaturalNumber0(X1)
| xn != sdtasdt0(xr,X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_287,negated_conjecture,
( ~ aNaturalNumber0(X1)
| xn != sdtasdt0(xp,X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_288,plain,
( aNaturalNumber0(esk3_1(X1))
| X1 = sz00
| X1 = sz10
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_289,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| esk3_1(X1) != X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_290,plain,
( sdtlseqdt0(sz10,X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_291,hypothesis,
( doDivides0(xr,xm)
| doDivides0(xr,xn) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_292,hypothesis,
( xm = sdtasdt0(xr,esk17_0)
| doDivides0(xr,xn) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_293,hypothesis,
( doDivides0(xr,xm)
| xn = sdtasdt0(xr,esk16_0) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_294,hypothesis,
( xm = sdtasdt0(xr,esk17_0)
| xn = sdtasdt0(xr,esk16_0) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_295,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xr,esk14_0),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_296,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,esk9_0),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_297,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(split_conjunct,[status(thm)],[m__2306]),
[final] ).
cnf(i_0_298,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| esk3_1(X1) != sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_299,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_300,plain,
( isPrime0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_301,plain,
( aNaturalNumber0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_302,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_303,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_304,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_305,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_306,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_307,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_308,hypothesis,
~ doDivides0(xr,xm),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_309,hypothesis,
~ doDivides0(xr,xn),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_310,negated_conjecture,
~ doDivides0(xp,xm),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_311,negated_conjecture,
~ doDivides0(xp,xn),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_312,hypothesis,
~ sdtlseqdt0(xp,xm),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_313,hypothesis,
~ sdtlseqdt0(xp,xn),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_314,plain,
( X1 != sz10
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_315,plain,
( X1 != sz00
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_316,hypothesis,
( aNaturalNumber0(esk17_0)
| doDivides0(xr,xn) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_317,hypothesis,
( doDivides0(xr,xm)
| aNaturalNumber0(esk16_0) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_318,hypothesis,
( xm = sdtasdt0(xr,esk17_0)
| aNaturalNumber0(esk16_0) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_319,hypothesis,
( aNaturalNumber0(esk17_0)
| xn = sdtasdt0(xr,esk16_0) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_320,hypothesis,
doDivides0(xr,xk),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_321,hypothesis,
sdtlseqdt0(xk,xp),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_322,hypothesis,
sdtlseqdt0(xm,xp),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_323,hypothesis,
sdtlseqdt0(xn,xp),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_324,hypothesis,
sdtpldt0(xr,esk13_0) = xk,
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_325,hypothesis,
sdtpldt0(xk,esk15_0) = xp,
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_326,hypothesis,
sdtpldt0(xm,esk11_0) = xp,
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_327,hypothesis,
sdtpldt0(xn,esk10_0) = xp,
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_328,hypothesis,
xk = sdtasdt0(xr,esk12_0),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_329,hypothesis,
( aNaturalNumber0(esk17_0)
| aNaturalNumber0(esk16_0) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_330,hypothesis,
isPrime0(xr),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_331,hypothesis,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_332,hypothesis,
aNaturalNumber0(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_333,hypothesis,
aNaturalNumber0(esk14_0),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_334,hypothesis,
aNaturalNumber0(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_335,hypothesis,
aNaturalNumber0(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_336,hypothesis,
aNaturalNumber0(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_337,hypothesis,
aNaturalNumber0(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_338,hypothesis,
aNaturalNumber0(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_339,hypothesis,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_340,hypothesis,
aNaturalNumber0(xk),
inference(split_conjunct,[status(thm)],[m__2306]),
[final] ).
cnf(i_0_341,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_342,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_343,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_344,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_345,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]),
[final] ).
cnf(i_0_346,hypothesis,
xr != sz10,
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_347,hypothesis,
xr != sz00,
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_348,hypothesis,
xk != xp,
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_349,hypothesis,
xk != sz10,
inference(split_conjunct,[status(thm)],[m__2327]),
[final] ).
cnf(i_0_350,hypothesis,
xk != sz10,
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_351,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[m__2327]),
[final] ).
cnf(i_0_352,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_353,hypothesis,
xm != xp,
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_354,hypothesis,
xn != xp,
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_355,hypothesis,
xp != sz10,
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_356,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_357,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_358,axiom,
X1 = X1 ).
cnf(i_0_359,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_360,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_361,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_362,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_363,axiom,
( X1 != X2
| esk3_1(X1) = esk3_1(X2) ) ).
cnf(i_0_364,axiom,
( X1 != X2
| esk5_3(X1,X3,X4) = esk5_3(X2,X3,X4) ) ).
cnf(i_0_365,axiom,
( X1 != X2
| esk5_3(X3,X1,X4) = esk5_3(X3,X2,X4) ) ).
cnf(i_0_366,axiom,
( X1 != X2
| esk5_3(X3,X4,X1) = esk5_3(X3,X4,X2) ) ).
cnf(i_0_367,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_368,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_369,axiom,
( X1 != X2
| sdtsldt0(X1,X3) = sdtsldt0(X2,X3) ) ).
cnf(i_0_370,axiom,
( X1 != X2
| sdtsldt0(X3,X1) = sdtsldt0(X3,X2) ) ).
cnf(i_0_371,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_372,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_373,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_374,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_375,axiom,
( X1 != X2
| ~ doDivides0(X1,X3)
| doDivides0(X2,X3) ) ).
cnf(i_0_376,axiom,
( X1 != X2
| ~ doDivides0(X3,X1)
| doDivides0(X3,X2) ) ).
cnf(i_0_377,axiom,
( X1 != X2
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X2) ) ).
cnf(i_0_378,axiom,
( X1 != X2
| ~ isPrime0(X1)
| isPrime0(X2) ) ).
cnf(i_0_379,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_380,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_358_001,axiom,
X1 = X1 ).
cnf(i_0_359_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_360_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_361_004,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_362_005,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_363_006,axiom,
( X1 != X2
| esk3_1(X1) = esk3_1(X2) ) ).
cnf(i_0_364_007,axiom,
( X1 != X2
| esk5_3(X1,X3,X4) = esk5_3(X2,X3,X4) ) ).
cnf(i_0_365_008,axiom,
( X1 != X2
| esk5_3(X3,X1,X4) = esk5_3(X3,X2,X4) ) ).
cnf(i_0_366_009,axiom,
( X1 != X2
| esk5_3(X3,X4,X1) = esk5_3(X3,X4,X2) ) ).
cnf(i_0_367_010,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_368_011,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_369_012,axiom,
( X1 != X2
| sdtsldt0(X1,X3) = sdtsldt0(X2,X3) ) ).
cnf(i_0_370_013,axiom,
( X1 != X2
| sdtsldt0(X3,X1) = sdtsldt0(X3,X2) ) ).
cnf(i_0_371_014,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_372_015,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_373_016,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_374_017,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_375_018,axiom,
( X1 != X2
| ~ doDivides0(X1,X3)
| doDivides0(X2,X3) ) ).
cnf(i_0_376_019,axiom,
( X1 != X2
| ~ doDivides0(X3,X1)
| doDivides0(X3,X2) ) ).
cnf(i_0_377_020,axiom,
( X1 != X2
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X2) ) ).
cnf(i_0_378_021,axiom,
( X1 != X2
| ~ isPrime0(X1)
| isPrime0(X2) ) ).
cnf(i_0_379_022,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_380_023,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_381,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(X1,esk7_3(X1,X2,X1))
| X1 = sdtasdt0(esk5_3(X1,X2,X1),esk6_3(X1,X2,X1))
| X2 = sdtasdt0(X1,esk8_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(equality_inference,[],[103]) ).
cnf(i_0_382,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk7_3(X1,X2,X1))
| X1 = sdtasdt0(esk5_3(X1,X2,X1),esk6_3(X1,X2,X1))
| X2 = sdtasdt0(X1,esk8_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(equality_inference,[],[105]) ).
cnf(i_0_383,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(X1,esk7_3(X1,X2,X1))
| X1 = sdtasdt0(esk5_3(X1,X2,X1),esk6_3(X1,X2,X1))
| aNaturalNumber0(esk8_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(equality_inference,[],[106]) ).
cnf(i_0_384,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk7_3(X1,X2,X1))
| X1 = sdtasdt0(esk5_3(X1,X2,X1),esk6_3(X1,X2,X1))
| aNaturalNumber0(esk8_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(equality_inference,[],[107]) ).
cnf(i_0_385,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk5_3(X1,X2,X1),esk6_3(X1,X2,X1))
| X1 = sdtasdt0(X1,esk7_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(equality_inference,[],[117]) ).
cnf(i_0_386,plain,
( doDivides0(X1,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk5_3(X1,X2,X1),esk6_3(X1,X2,X1))
| X2 = sdtasdt0(X1,esk8_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(equality_inference,[],[118]) ).
cnf(i_0_387,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| doDivides0(esk5_3(X1,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(X1,esk7_3(X1,X2,X1))
| X2 = sdtasdt0(X1,esk8_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(equality_inference,[],[119]) ).
cnf(i_0_388,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(X1,esk7_3(X1,X2,X1))
| aNaturalNumber0(esk6_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| X2 = sdtasdt0(X1,esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[125]) ).
cnf(i_0_389,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(X1,esk7_3(X1,X2,X1))
| aNaturalNumber0(esk5_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| X2 = sdtasdt0(X1,esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[126]) ).
cnf(i_0_390,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk5_3(X1,X2,X1),esk6_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X1,X2,X1)) ),
inference(equality_inference,[],[127]) ).
cnf(i_0_391,plain,
( doDivides0(X1,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk5_3(X1,X2,X1),esk6_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[128]) ).
cnf(i_0_392,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| doDivides0(esk5_3(X1,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk7_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| X2 = sdtasdt0(X1,esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[129]) ).
cnf(i_0_393,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| doDivides0(esk5_3(X1,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(X1,esk7_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[130]) ).
cnf(i_0_394,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk7_3(X1,X2,X1))
| aNaturalNumber0(esk6_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| X2 = sdtasdt0(X1,esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[133]) ).
cnf(i_0_395,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk7_3(X1,X2,X1))
| aNaturalNumber0(esk5_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| X2 = sdtasdt0(X1,esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[134]) ).
cnf(i_0_396,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(X1,esk7_3(X1,X2,X1))
| aNaturalNumber0(esk6_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[135]) ).
cnf(i_0_397,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(X1,esk7_3(X1,X2,X1))
| aNaturalNumber0(esk5_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[136]) ).
cnf(i_0_398,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| doDivides0(esk5_3(X1,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk7_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[137]) ).
cnf(i_0_399,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk7_3(X1,X2,X1))
| aNaturalNumber0(esk6_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[140]) ).
cnf(i_0_400,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk7_3(X1,X2,X1))
| aNaturalNumber0(esk5_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[141]) ).
cnf(i_0_401,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,X2)
| doDivides0(X1,X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk5_3(X1,X2,X1),esk6_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(equality_inference,[],[166]) ).
cnf(i_0_402,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| doDivides0(esk5_3(X1,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| X1 = sdtasdt0(X1,esk7_3(X1,X2,X1)) ),
inference(equality_inference,[],[167]) ).
cnf(i_0_403,plain,
( doDivides0(X1,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| doDivides0(esk5_3(X1,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| X2 = sdtasdt0(X1,esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[168]) ).
cnf(i_0_404,plain,
( ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sdtasdt0(X1,esk7_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| X2 = sdtasdt0(X1,esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[175]) ).
cnf(i_0_405,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk6_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| X1 = sdtasdt0(X1,esk7_3(X1,X2,X1)) ),
inference(equality_inference,[],[176]) ).
cnf(i_0_406,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk5_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| X1 = sdtasdt0(X1,esk7_3(X1,X2,X1)) ),
inference(equality_inference,[],[177]) ).
cnf(i_0_407,plain,
( doDivides0(X1,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk6_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| X2 = sdtasdt0(X1,esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[178]) ).
cnf(i_0_408,plain,
( doDivides0(X1,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk5_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| X2 = sdtasdt0(X1,esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[179]) ).
cnf(i_0_409,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| doDivides0(esk5_3(X1,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X1,X2,X1)) ),
inference(equality_inference,[],[180]) ).
cnf(i_0_410,plain,
( doDivides0(X1,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| doDivides0(esk5_3(X1,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[181]) ).
cnf(i_0_411,plain,
( ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(esk7_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| X2 = sdtasdt0(X1,esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[183]) ).
cnf(i_0_412,plain,
( ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sdtasdt0(X1,esk7_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[184]) ).
cnf(i_0_413,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk6_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X1,X2,X1)) ),
inference(equality_inference,[],[185]) ).
cnf(i_0_414,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk5_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X1,X2,X1)) ),
inference(equality_inference,[],[186]) ).
cnf(i_0_415,plain,
( doDivides0(X1,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk6_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[187]) ).
cnf(i_0_416,plain,
( doDivides0(X1,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk5_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[188]) ).
cnf(i_0_417,plain,
( ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(esk7_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[193]) ).
cnf(i_0_418,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,X2)
| doDivides0(X1,X1)
| ~ aNaturalNumber0(X2)
| doDivides0(esk5_3(X1,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(equality_inference,[],[211]) ).
cnf(i_0_419,plain,
( doDivides0(X1,X1)
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| X2 = sdtasdt0(X1,esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[214]) ).
cnf(i_0_420,plain,
( ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| X1 = sdtasdt0(X1,esk7_3(X1,X2,X1)) ),
inference(equality_inference,[],[215]) ).
cnf(i_0_421,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,X2)
| doDivides0(X1,X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk6_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(equality_inference,[],[216]) ).
cnf(i_0_422,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,X2)
| doDivides0(X1,X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk5_3(X1,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(equality_inference,[],[217]) ).
cnf(i_0_423,plain,
( ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X1,X2,X1)) ),
inference(equality_inference,[],[218]) ).
cnf(i_0_424,plain,
( doDivides0(X1,X1)
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk8_3(X1,X2,X1)) ),
inference(equality_inference,[],[219]) ).
cnf(i_0_425,plain,
( ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,X2)
| doDivides0(X1,X1)
| ~ aNaturalNumber0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(equality_inference,[],[225]) ).
cnf(i_0_426,plain,
( ~ aNaturalNumber0(X1)
| ~ doDivides0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| X2 = sz00
| X1 = sdtsldt0(sdtasdt0(X2,X1),X2) ),
inference(equality_inference,[],[241]) ).
cnf(i_0_427,plain,
( ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| X1 = sdtmndt0(sdtpldt0(X2,X1),X2) ),
inference(equality_inference,[],[242]) ).
cnf(i_0_428,plain,
( ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X2 = sdtasdt0(X1,sdtsldt0(X2,X1)) ),
inference(equality_inference,[],[247]) ).
cnf(i_0_429,plain,
( ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X1,sdtmndt0(X2,X1)) = X2 ),
inference(equality_inference,[],[248]) ).
cnf(i_0_430,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = X1
| X2 = sz00 ),
inference(equality_inference,[],[249]) ).
cnf(i_0_431,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = X1
| X2 = sz00 ),
inference(equality_inference,[],[250]) ).
cnf(i_0_432,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X2)
| X2 = X2 ),
inference(equality_inference,[],[251]) ).
cnf(i_0_433,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X2)
| X2 = X2 ),
inference(equality_inference,[],[252]) ).
cnf(i_0_434,plain,
( ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtsldt0(X2,X1))
| X1 = sz00 ),
inference(equality_inference,[],[255]) ).
cnf(i_0_435,plain,
( ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtmndt0(X2,X1)) ),
inference(equality_inference,[],[256]) ).
cnf(i_0_436,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2) ),
inference(equality_inference,[],[258]) ).
cnf(i_0_437,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2) ),
inference(equality_inference,[],[259]) ).
cnf(i_0_438,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X1) ),
inference(equality_inference,[],[278]) ).
cnf(i_0_439,plain,
( ~ isPrime0(sz10)
| ~ aNaturalNumber0(sz10) ),
inference(equality_inference,[],[314]) ).
cnf(i_0_440,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(equality_inference,[],[315]) ).
cnf(i_0_441,plain,
$false,
inference(scs_inference,[],[i_0_308,i_0_309,i_0_291]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM519+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33 % Computer : n008.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue May 5 00:41:13 EDT 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.34 % start to proof: theBenchmark
% 1.49/5.63 % Version : CSE_E---1.7
% 1.49/5.63 % Problem : theBenchmark.p
% 1.49/5.63 % SZS status Theorem for theBenchmark.p
% 1.49/5.63 % SZS output start CNFRefutation
% See solution above
% 1.49/5.69 % Total time : 5.280s
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