%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM520+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 : n002.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 04:57:40 PM UTC 2026
% Result : Theorem 1.44s 5.63s
% Output : CNFRefutation 1.44s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 92)
% 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__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(mPrimDiv,axiom,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ? [X2] :
( aNaturalNumber0(X2)
& doDivides0(X2,X1)
& isPrime0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimDiv) ).
fof(m__2075,hypothesis,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xm )
| sdtlseqdt0(xp,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
fof(m__1870,hypothesis,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xn )
| sdtlseqdt0(xp,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
fof(mLENTr,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 = sz00
| X1 = sz10
| ( sz10 != X1
& sdtlseqdt0(sz10,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
fof(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__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__2327,hypothesis,
~ ( xk != sz00
& xk != sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2327) ).
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(i_0_46,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_47,hypothesis,
! [X187,X188,X189,X192] :
( ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) ) ),
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_48,plain,
! [X122,X123,X124] :
( ( sdtasdt0(X122,sdtpldt0(X123,X124)) = sdtpldt0(sdtasdt0(X122,X123),sdtasdt0(X122,X124))
| ~ aNaturalNumber0(X122)
| ~ aNaturalNumber0(X123)
| ~ aNaturalNumber0(X124) )
& ( sdtasdt0(sdtpldt0(X123,X124),X122) = sdtpldt0(sdtasdt0(X123,X122),sdtasdt0(X124,X122))
| ~ aNaturalNumber0(X122)
| ~ aNaturalNumber0(X123)
| ~ aNaturalNumber0(X124) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
fof(i_0_49,plain,
! [X179,X180,X181] :
( ~ aNaturalNumber0(X179)
| ~ aNaturalNumber0(X180)
| X179 = sz00
| ~ doDivides0(X179,X180)
| ~ aNaturalNumber0(X181)
| sdtasdt0(X181,sdtsldt0(X180,X179)) = sdtsldt0(sdtasdt0(X181,X180),X179) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivAsso])])]) ).
fof(i_0_50,plain,
! [X174,X175,X176] :
( ~ aNaturalNumber0(X174)
| ~ aNaturalNumber0(X175)
| ~ aNaturalNumber0(X176)
| ~ doDivides0(X174,X175)
| ~ doDivides0(X174,sdtpldt0(X175,X176))
| doDivides0(X174,X176) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivMin])]) ).
fof(i_0_51,plain,
! [X153,X154,X155] :
( ( sdtasdt0(X153,X154) != sdtasdt0(X153,X155)
| X153 = sz00
| X154 = X155
| ~ sdtlseqdt0(X154,X155)
| ~ aNaturalNumber0(X153)
| ~ aNaturalNumber0(X154)
| ~ aNaturalNumber0(X155) )
& ( sdtlseqdt0(sdtasdt0(X153,X154),sdtasdt0(X153,X155))
| X153 = sz00
| X154 = X155
| ~ sdtlseqdt0(X154,X155)
| ~ aNaturalNumber0(X153)
| ~ aNaturalNumber0(X154)
| ~ aNaturalNumber0(X155) )
& ( sdtasdt0(X154,X153) != sdtasdt0(X155,X153)
| X153 = sz00
| X154 = X155
| ~ sdtlseqdt0(X154,X155)
| ~ aNaturalNumber0(X153)
| ~ aNaturalNumber0(X154)
| ~ aNaturalNumber0(X155) )
& ( sdtlseqdt0(sdtasdt0(X154,X153),sdtasdt0(X155,X153))
| X153 = sz00
| X154 = X155
| ~ sdtlseqdt0(X154,X155)
| ~ aNaturalNumber0(X153)
| ~ aNaturalNumber0(X154)
| ~ aNaturalNumber0(X155) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul])])]) ).
fof(i_0_52,plain,
! [X150,X151,X152] :
( ( sdtpldt0(X152,X150) != sdtpldt0(X152,X151)
| ~ aNaturalNumber0(X152)
| X150 = X151
| ~ sdtlseqdt0(X150,X151)
| ~ aNaturalNumber0(X150)
| ~ aNaturalNumber0(X151) )
& ( sdtlseqdt0(sdtpldt0(X152,X150),sdtpldt0(X152,X151))
| ~ aNaturalNumber0(X152)
| X150 = X151
| ~ sdtlseqdt0(X150,X151)
| ~ aNaturalNumber0(X150)
| ~ aNaturalNumber0(X151) )
& ( sdtpldt0(X150,X152) != sdtpldt0(X151,X152)
| ~ aNaturalNumber0(X152)
| X150 = X151
| ~ sdtlseqdt0(X150,X151)
| ~ aNaturalNumber0(X150)
| ~ aNaturalNumber0(X151) )
& ( sdtlseqdt0(sdtpldt0(X150,X152),sdtpldt0(X151,X152))
| ~ aNaturalNumber0(X152)
| X150 = X151
| ~ sdtlseqdt0(X150,X151)
| ~ aNaturalNumber0(X150)
| ~ aNaturalNumber0(X151) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonAdd])])])]) ).
fof(i_0_53,plain,
! [X171,X172,X173] :
( ~ aNaturalNumber0(X171)
| ~ aNaturalNumber0(X172)
| ~ aNaturalNumber0(X173)
| ~ doDivides0(X171,X172)
| ~ doDivides0(X171,X173)
| doDivides0(X171,sdtpldt0(X172,X173)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivSum])]) ).
fof(i_0_54,plain,
! [X117,X118,X119] :
( ~ aNaturalNumber0(X117)
| ~ aNaturalNumber0(X118)
| ~ aNaturalNumber0(X119)
| sdtasdt0(sdtasdt0(X117,X118),X119) = sdtasdt0(X117,sdtasdt0(X118,X119)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(i_0_55,plain,
! [X111,X112,X113] :
( ~ aNaturalNumber0(X111)
| ~ aNaturalNumber0(X112)
| ~ aNaturalNumber0(X113)
| sdtpldt0(sdtpldt0(X111,X112),X113) = sdtpldt0(X111,sdtpldt0(X112,X113)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(i_0_56,plain,
! [X165,X166,X167] :
( ( aNaturalNumber0(X167)
| X167 != sdtsldt0(X166,X165)
| X165 = sz00
| ~ doDivides0(X165,X166)
| ~ aNaturalNumber0(X165)
| ~ aNaturalNumber0(X166) )
& ( X166 = sdtasdt0(X165,X167)
| X167 != sdtsldt0(X166,X165)
| X165 = sz00
| ~ doDivides0(X165,X166)
| ~ aNaturalNumber0(X165)
| ~ aNaturalNumber0(X166) )
& ( ~ aNaturalNumber0(X167)
| X166 != sdtasdt0(X165,X167)
| X167 = sdtsldt0(X166,X165)
| X165 = sz00
| ~ doDivides0(X165,X166)
| ~ aNaturalNumber0(X165)
| ~ aNaturalNumber0(X166) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefQuot])])])]) ).
fof(i_0_57,plain,
! [X139,X140,X141] :
( ( aNaturalNumber0(X141)
| X141 != sdtmndt0(X140,X139)
| ~ sdtlseqdt0(X139,X140)
| ~ aNaturalNumber0(X139)
| ~ aNaturalNumber0(X140) )
& ( sdtpldt0(X139,X141) = X140
| X141 != sdtmndt0(X140,X139)
| ~ sdtlseqdt0(X139,X140)
| ~ aNaturalNumber0(X139)
| ~ aNaturalNumber0(X140) )
& ( ~ aNaturalNumber0(X141)
| sdtpldt0(X139,X141) != X140
| X141 = sdtmndt0(X140,X139)
| ~ sdtlseqdt0(X139,X140)
| ~ aNaturalNumber0(X139)
| ~ aNaturalNumber0(X140) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])]) ).
fof(i_0_58,plain,
! [X168,X169,X170] :
( ~ aNaturalNumber0(X168)
| ~ aNaturalNumber0(X169)
| ~ aNaturalNumber0(X170)
| ~ doDivides0(X168,X169)
| ~ doDivides0(X169,X170)
| doDivides0(X168,X170) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])]) ).
fof(i_0_59,plain,
! [X145,X146,X147] :
( ~ aNaturalNumber0(X145)
| ~ aNaturalNumber0(X146)
| ~ aNaturalNumber0(X147)
| ~ sdtlseqdt0(X145,X146)
| ~ sdtlseqdt0(X146,X147)
| sdtlseqdt0(X145,X147) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETran])]) ).
fof(i_0_60,plain,
! [X135,X136,X138] :
( ( aNaturalNumber0(esk1_2(X135,X136))
| ~ sdtlseqdt0(X135,X136)
| ~ aNaturalNumber0(X135)
| ~ aNaturalNumber0(X136) )
& ( sdtpldt0(X135,esk1_2(X135,X136)) = X136
| ~ sdtlseqdt0(X135,X136)
| ~ aNaturalNumber0(X135)
| ~ aNaturalNumber0(X136) )
& ( ~ aNaturalNumber0(X138)
| sdtpldt0(X135,X138) != X136
| sdtlseqdt0(X135,X136)
| ~ aNaturalNumber0(X135)
| ~ aNaturalNumber0(X136) ) ),
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_61,plain,
! [X161,X162,X164] :
( ( aNaturalNumber0(esk2_2(X161,X162))
| ~ doDivides0(X161,X162)
| ~ aNaturalNumber0(X161)
| ~ aNaturalNumber0(X162) )
& ( X162 = sdtasdt0(X161,esk2_2(X161,X162))
| ~ doDivides0(X161,X162)
| ~ aNaturalNumber0(X161)
| ~ aNaturalNumber0(X162) )
& ( ~ aNaturalNumber0(X164)
| X162 != sdtasdt0(X161,X164)
| doDivides0(X161,X162)
| ~ aNaturalNumber0(X161)
| ~ aNaturalNumber0(X162) ) ),
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_62,plain,
! [X128,X129,X130] :
( ( sdtasdt0(X128,X129) != sdtasdt0(X128,X130)
| X129 = X130
| ~ aNaturalNumber0(X129)
| ~ aNaturalNumber0(X130)
| X128 = sz00
| ~ aNaturalNumber0(X128) )
& ( sdtasdt0(X129,X128) != sdtasdt0(X130,X128)
| X129 = X130
| ~ aNaturalNumber0(X129)
| ~ aNaturalNumber0(X130)
| X128 = sz00
| ~ aNaturalNumber0(X128) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulCanc])])])]) ).
fof(i_0_63,plain,
! [X125,X126,X127] :
( ( sdtpldt0(X125,X126) != sdtpldt0(X125,X127)
| X126 = X127
| ~ aNaturalNumber0(X125)
| ~ aNaturalNumber0(X126)
| ~ aNaturalNumber0(X127) )
& ( sdtpldt0(X126,X125) != sdtpldt0(X127,X125)
| X126 = X127
| ~ aNaturalNumber0(X125)
| ~ aNaturalNumber0(X126)
| ~ aNaturalNumber0(X127) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddCanc])])]) ).
fof(i_0_64,plain,
! [X143,X144] :
( ~ aNaturalNumber0(X143)
| ~ aNaturalNumber0(X144)
| ~ sdtlseqdt0(X143,X144)
| ~ sdtlseqdt0(X144,X143)
| X143 = X144 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])]) ).
fof(i_0_65,plain,
! [X157,X158] :
( ~ aNaturalNumber0(X157)
| ~ aNaturalNumber0(X158)
| X157 = sz00
| sdtlseqdt0(X158,sdtasdt0(X158,X157)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul2])]) ).
fof(i_0_66,plain,
! [X159,X160] :
( ~ aNaturalNumber0(X159)
| ~ aNaturalNumber0(X160)
| X159 = X160
| ~ sdtlseqdt0(X159,X160)
| iLess0(X159,X160) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH_03])]) ).
fof(i_0_67,plain,
! [X177,X178] :
( ~ aNaturalNumber0(X177)
| ~ aNaturalNumber0(X178)
| ~ doDivides0(X177,X178)
| X178 = sz00
| sdtlseqdt0(X177,X178) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivLE])]) ).
fof(i_0_68,plain,
! [X182,X183] :
( ( X182 != sz00
| ~ isPrime0(X182)
| ~ aNaturalNumber0(X182) )
& ( X182 != sz10
| ~ isPrime0(X182)
| ~ aNaturalNumber0(X182) )
& ( ~ aNaturalNumber0(X183)
| ~ doDivides0(X183,X182)
| X183 = sz10
| X183 = X182
| ~ isPrime0(X182)
| ~ aNaturalNumber0(X182) )
& ( aNaturalNumber0(esk3_1(X182))
| X182 = sz00
| X182 = sz10
| isPrime0(X182)
| ~ aNaturalNumber0(X182) )
& ( doDivides0(esk3_1(X182),X182)
| X182 = sz00
| X182 = sz10
| isPrime0(X182)
| ~ aNaturalNumber0(X182) )
& ( esk3_1(X182) != sz10
| X182 = sz00
| X182 = sz10
| isPrime0(X182)
| ~ aNaturalNumber0(X182) )
& ( esk3_1(X182) != X182
| X182 = sz00
| X182 = sz10
| isPrime0(X182)
| ~ aNaturalNumber0(X182) ) ),
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_69,plain,
! [X107,X108] :
( ~ aNaturalNumber0(X107)
| ~ aNaturalNumber0(X108)
| aNaturalNumber0(sdtasdt0(X107,X108)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(i_0_70,plain,
! [X105,X106] :
( ~ aNaturalNumber0(X105)
| ~ aNaturalNumber0(X106)
| aNaturalNumber0(sdtpldt0(X105,X106)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(i_0_71,plain,
! [X148,X149] :
( ( X149 != X148
| sdtlseqdt0(X148,X149)
| ~ aNaturalNumber0(X148)
| ~ aNaturalNumber0(X149) )
& ( sdtlseqdt0(X149,X148)
| sdtlseqdt0(X148,X149)
| ~ aNaturalNumber0(X148)
| ~ aNaturalNumber0(X149) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETotal])])]) ).
fof(i_0_72,plain,
! [X115,X116] :
( ~ aNaturalNumber0(X115)
| ~ aNaturalNumber0(X116)
| sdtasdt0(X115,X116) = sdtasdt0(X116,X115) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(i_0_73,plain,
! [X109,X110] :
( ~ aNaturalNumber0(X109)
| ~ aNaturalNumber0(X110)
| sdtpldt0(X109,X110) = sdtpldt0(X110,X109) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
fof(i_0_74,plain,
! [X133,X134] :
( ~ aNaturalNumber0(X133)
| ~ aNaturalNumber0(X134)
| sdtasdt0(X133,X134) != sz00
| X133 = sz00
| X134 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroMul])]) ).
fof(i_0_75,hypothesis,
! [X195,X196] :
( xp != sz00
& xp != sz10
& ( ~ aNaturalNumber0(X196)
| xp != sdtasdt0(X195,X196)
| ~ aNaturalNumber0(X195)
| X195 = sz10
| X195 = xp )
& ( ~ doDivides0(X195,xp)
| ~ aNaturalNumber0(X195)
| X195 = sz10
| X195 = 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_76,plain,
! [X131,X132] :
( ( X131 = sz00
| sdtpldt0(X131,X132) != sz00
| ~ aNaturalNumber0(X131)
| ~ aNaturalNumber0(X132) )
& ( X132 = sz00
| sdtpldt0(X131,X132) != sz00
| ~ aNaturalNumber0(X131)
| ~ aNaturalNumber0(X132) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroAdd])])]) ).
fof(i_0_77,plain,
! [X185] :
( ( aNaturalNumber0(esk4_1(X185))
| ~ aNaturalNumber0(X185)
| X185 = sz00
| X185 = sz10 )
& ( doDivides0(esk4_1(X185),X185)
| ~ aNaturalNumber0(X185)
| X185 = sz00
| X185 = sz10 )
& ( isPrime0(esk4_1(X185))
| ~ aNaturalNumber0(X185)
| X185 = sz00
| X185 = sz10 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPrimDiv])])])]) ).
fof(i_0_78,hypothesis,
! [X199] :
( ( ~ aNaturalNumber0(X199)
| sdtpldt0(xp,X199) != xm )
& ~ sdtlseqdt0(xp,xm) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2075])])]) ).
fof(i_0_79,hypothesis,
! [X198] :
( ( ~ aNaturalNumber0(X198)
| sdtpldt0(xp,X198) != xn )
& ~ sdtlseqdt0(xp,xn) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1870])])]) ).
fof(i_0_80,negated_conjecture,
! [X202,X203] :
( ( ~ aNaturalNumber0(X202)
| xn != sdtasdt0(xp,X202) )
& ~ doDivides0(xp,xn)
& ( ~ aNaturalNumber0(X203)
| xm != sdtasdt0(xp,X203) )
& ~ doDivides0(xp,xm) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_46])])]) ).
fof(i_0_81,plain,
! [X156] :
( ( sz10 != X156
| X156 = sz00
| X156 = sz10
| ~ aNaturalNumber0(X156) )
& ( sdtlseqdt0(sz10,X156)
| X156 = sz00
| X156 = sz10
| ~ aNaturalNumber0(X156) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLENTr])])]) ).
fof(i_0_82,plain,
! [X142] :
( ~ aNaturalNumber0(X142)
| sdtlseqdt0(X142,X142) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERefl])]) ).
fof(i_0_83,plain,
! [X120] :
( ( sdtasdt0(X120,sz10) = X120
| ~ aNaturalNumber0(X120) )
& ( X120 = sdtasdt0(sz10,X120)
| ~ aNaturalNumber0(X120) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).
fof(i_0_84,plain,
! [X114] :
( ( sdtpldt0(X114,sz00) = X114
| ~ aNaturalNumber0(X114) )
& ( X114 = sdtpldt0(sz00,X114)
| ~ aNaturalNumber0(X114) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])]) ).
fof(i_0_85,plain,
! [X121] :
( ( sdtasdt0(X121,sz00) = sz00
| ~ aNaturalNumber0(X121) )
& ( sz00 = sdtasdt0(sz00,X121)
| ~ aNaturalNumber0(X121) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])]) ).
fof(i_0_86,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_87,hypothesis,
( xk = sz00
| xk = sz10 ),
inference(fof_nnf,[status(thm)],[m__2327]) ).
fof(i_0_88,hypothesis,
( xk != sz00
& xk != sz10 ),
inference(fof_nnf,[status(thm)],[m__2315]) ).
cnf(i_0_89,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_47]),
[final] ).
cnf(i_0_90,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| X2 = sdtasdt0(esk5_3(X3,X1,X2),esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_91,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| X3 = sdtasdt0(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_92,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_47]),
[final] ).
cnf(i_0_93,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_47]),
[final] ).
cnf(i_0_94,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| X2 = sdtasdt0(esk5_3(X3,X1,X2),esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_95,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| X3 = sdtasdt0(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_96,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_47]),
[final] ).
cnf(i_0_97,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_47]),
[final] ).
cnf(i_0_98,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_47]),
[final] ).
cnf(i_0_99,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_47]),
[final] ).
cnf(i_0_100,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_47]),
[final] ).
cnf(i_0_101,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_47]),
[final] ).
cnf(i_0_102,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_47]),
[final] ).
cnf(i_0_103,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_47]),
[final] ).
cnf(i_0_104,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_47]),
[final] ).
cnf(i_0_105,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_47]),
[final] ).
cnf(i_0_106,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_47]),
[final] ).
cnf(i_0_107,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_47]),
[final] ).
cnf(i_0_108,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_47]),
[final] ).
cnf(i_0_109,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_47]),
[final] ).
cnf(i_0_110,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_47]),
[final] ).
cnf(i_0_111,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_47]),
[final] ).
cnf(i_0_112,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_47]),
[final] ).
cnf(i_0_113,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_47]),
[final] ).
cnf(i_0_114,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_47]),
[final] ).
cnf(i_0_115,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_47]),
[final] ).
cnf(i_0_116,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_47]),
[final] ).
cnf(i_0_117,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_47]),
[final] ).
cnf(i_0_118,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_47]),
[final] ).
cnf(i_0_119,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_47]),
[final] ).
cnf(i_0_120,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_47]),
[final] ).
cnf(i_0_121,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_47]),
[final] ).
cnf(i_0_122,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_47]),
[final] ).
cnf(i_0_123,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_47]),
[final] ).
cnf(i_0_124,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_47]),
[final] ).
cnf(i_0_125,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_47]),
[final] ).
cnf(i_0_126,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_47]),
[final] ).
cnf(i_0_127,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_47]),
[final] ).
cnf(i_0_128,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_47]),
[final] ).
cnf(i_0_129,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_47]),
[final] ).
cnf(i_0_130,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_47]),
[final] ).
cnf(i_0_131,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_47]),
[final] ).
cnf(i_0_132,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_47]),
[final] ).
cnf(i_0_133,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_47]),
[final] ).
cnf(i_0_134,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_47]),
[final] ).
cnf(i_0_135,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_47]),
[final] ).
cnf(i_0_136,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_47]),
[final] ).
cnf(i_0_137,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_47]),
[final] ).
cnf(i_0_138,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_47]),
[final] ).
cnf(i_0_139,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_47]),
[final] ).
cnf(i_0_140,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_47]),
[final] ).
cnf(i_0_141,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_47]),
[final] ).
cnf(i_0_142,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_47]),
[final] ).
cnf(i_0_143,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ 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_47]),
[final] ).
cnf(i_0_144,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_47]),
[final] ).
cnf(i_0_145,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_47]),
[final] ).
cnf(i_0_146,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_47]),
[final] ).
cnf(i_0_147,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_47]),
[final] ).
cnf(i_0_148,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_47]),
[final] ).
cnf(i_0_149,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_47]),
[final] ).
cnf(i_0_150,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_47]),
[final] ).
cnf(i_0_151,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_47]),
[final] ).
cnf(i_0_152,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_47]),
[final] ).
cnf(i_0_153,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_47]),
[final] ).
cnf(i_0_154,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_47]),
[final] ).
cnf(i_0_155,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_47]),
[final] ).
cnf(i_0_156,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_47]),
[final] ).
cnf(i_0_157,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_47]),
[final] ).
cnf(i_0_158,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_47]),
[final] ).
cnf(i_0_159,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_47]),
[final] ).
cnf(i_0_160,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_47]),
[final] ).
cnf(i_0_161,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_47]),
[final] ).
cnf(i_0_162,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_47]),
[final] ).
cnf(i_0_163,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_47]),
[final] ).
cnf(i_0_164,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_47]),
[final] ).
cnf(i_0_165,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_47]),
[final] ).
cnf(i_0_166,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_47]),
[final] ).
cnf(i_0_167,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_47]),
[final] ).
cnf(i_0_168,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_47]),
[final] ).
cnf(i_0_169,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_47]),
[final] ).
cnf(i_0_170,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_47]),
[final] ).
cnf(i_0_171,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_47]),
[final] ).
cnf(i_0_172,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_47]),
[final] ).
cnf(i_0_173,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_47]),
[final] ).
cnf(i_0_174,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_47]),
[final] ).
cnf(i_0_175,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_47]),
[final] ).
cnf(i_0_176,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_47]),
[final] ).
cnf(i_0_177,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_47]),
[final] ).
cnf(i_0_178,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_47]),
[final] ).
cnf(i_0_179,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_47]),
[final] ).
cnf(i_0_180,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_47]),
[final] ).
cnf(i_0_181,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_47]),
[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))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_183,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_47]),
[final] ).
cnf(i_0_184,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_47]),
[final] ).
cnf(i_0_185,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_47]),
[final] ).
cnf(i_0_186,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_47]),
[final] ).
cnf(i_0_187,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_47]),
[final] ).
cnf(i_0_188,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_47]),
[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))
| ~ 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_47]),
[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))
| ~ 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_47]),
[final] ).
cnf(i_0_191,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_47]),
[final] ).
cnf(i_0_192,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_47]),
[final] ).
cnf(i_0_193,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_47]),
[final] ).
cnf(i_0_194,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_47]),
[final] ).
cnf(i_0_195,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_47]),
[final] ).
cnf(i_0_196,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_47]),
[final] ).
cnf(i_0_197,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_47]),
[final] ).
cnf(i_0_198,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_47]),
[final] ).
cnf(i_0_199,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_47]),
[final] ).
cnf(i_0_200,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| doDivides0(esk5_3(X3,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_201,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_47]),
[final] ).
cnf(i_0_202,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_47]),
[final] ).
cnf(i_0_203,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_47]),
[final] ).
cnf(i_0_204,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_47]),
[final] ).
cnf(i_0_205,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_47]),
[final] ).
cnf(i_0_206,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_47]),
[final] ).
cnf(i_0_207,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_47]),
[final] ).
cnf(i_0_208,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_47]),
[final] ).
cnf(i_0_209,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_47]),
[final] ).
cnf(i_0_210,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_47]),
[final] ).
cnf(i_0_211,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_47]),
[final] ).
cnf(i_0_212,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_47]),
[final] ).
cnf(i_0_213,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_47]),
[final] ).
cnf(i_0_214,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_47]),
[final] ).
cnf(i_0_215,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_48]),
[final] ).
cnf(i_0_216,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_48]),
[final] ).
cnf(i_0_217,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_49]),
[final] ).
cnf(i_0_218,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_50]),
[final] ).
cnf(i_0_219,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_51]),
[final] ).
cnf(i_0_220,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_51]),
[final] ).
cnf(i_0_221,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_52]),
[final] ).
cnf(i_0_222,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_52]),
[final] ).
cnf(i_0_223,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_53]),
[final] ).
cnf(i_0_224,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_225,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_226,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_51]),
[final] ).
cnf(i_0_227,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_51]),
[final] ).
cnf(i_0_228,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_52]),
[final] ).
cnf(i_0_229,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_52]),
[final] ).
cnf(i_0_230,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_56]),
[final] ).
cnf(i_0_231,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_57]),
[final] ).
cnf(i_0_232,plain,
( doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_233,plain,
( sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_234,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_235,plain,
( X1 = sdtasdt0(X2,esk2_2(X2,X1))
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_236,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_56]),
[final] ).
cnf(i_0_237,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_238,plain,
( X1 = X3
| X2 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_239,plain,
( X2 = X3
| X1 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_240,plain,
( X1 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_241,plain,
( X2 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_242,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_243,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_244,plain,
( aNaturalNumber0(X1)
| X3 = sz00
| X1 != sdtsldt0(X2,X3)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_245,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_246,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_247,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_248,plain,
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_249,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_250,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_251,plain,
( X2 = sz00
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_252,plain,
( X1 = sz10
| X1 = X2
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_253,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_254,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_255,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_256,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_257,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_258,plain,
( X1 = sz00
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_259,hypothesis,
( X2 = sz10
| X2 = xp
| ~ aNaturalNumber0(X1)
| xp != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_260,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_261,plain,
( X1 = sz00
| sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_262,plain,
( doDivides0(esk3_1(X1),X1)
| X1 = sz00
| X1 = sz10
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_263,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_264,hypothesis,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(split_conjunct,[status(thm)],[m__2306]),
[final] ).
cnf(i_0_265,plain,
( sdtlseqdt0(X2,X1)
| X1 != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_266,plain,
( doDivides0(esk4_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_267,hypothesis,
( X1 = sz10
| X1 = xp
| ~ doDivides0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_268,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,X1) != xm ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_269,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,X1) != xn ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_270,negated_conjecture,
( ~ aNaturalNumber0(X1)
| xm != sdtasdt0(xp,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_271,negated_conjecture,
( ~ aNaturalNumber0(X1)
| xn != sdtasdt0(xp,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_272,plain,
( aNaturalNumber0(esk3_1(X1))
| X1 = sz00
| X1 = sz10
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_273,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| esk3_1(X1) != X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_274,plain,
( sdtlseqdt0(sz10,X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_275,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,esk9_0),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_276,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(split_conjunct,[status(thm)],[m__2306]),
[final] ).
cnf(i_0_277,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| esk3_1(X1) != sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_278,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_279,plain,
( isPrime0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_280,plain,
( aNaturalNumber0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_281,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_282,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_283,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_284,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_285,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_286,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_287,negated_conjecture,
~ doDivides0(xp,xm),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_288,negated_conjecture,
~ doDivides0(xp,xn),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_289,hypothesis,
~ sdtlseqdt0(xp,xm),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_290,hypothesis,
~ sdtlseqdt0(xp,xn),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_291,plain,
( X1 != sz10
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_292,plain,
( X1 != sz00
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_293,hypothesis,
sdtlseqdt0(xm,xp),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_294,hypothesis,
sdtlseqdt0(xn,xp),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_295,hypothesis,
sdtpldt0(xm,esk11_0) = xp,
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_296,hypothesis,
sdtpldt0(xn,esk10_0) = xp,
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_297,hypothesis,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_298,hypothesis,
aNaturalNumber0(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_299,hypothesis,
aNaturalNumber0(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_300,hypothesis,
aNaturalNumber0(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_301,hypothesis,
aNaturalNumber0(xk),
inference(split_conjunct,[status(thm)],[m__2306]),
[final] ).
cnf(i_0_302,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_303,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_304,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_305,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_306,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]),
[final] ).
cnf(i_0_307,hypothesis,
( xk = sz00
| xk = sz10 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_308,hypothesis,
xk != sz10,
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_309,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_310,hypothesis,
xm != xp,
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_311,hypothesis,
xn != xp,
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_312,hypothesis,
xp != sz10,
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_313,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_314,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_315,axiom,
X1 = X1 ).
cnf(i_0_316,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_317,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_318,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_319,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_320,axiom,
( X1 != X2
| esk3_1(X1) = esk3_1(X2) ) ).
cnf(i_0_321,axiom,
( X1 != X2
| esk5_3(X1,X3,X4) = esk5_3(X2,X3,X4) ) ).
cnf(i_0_322,axiom,
( X1 != X2
| esk5_3(X3,X1,X4) = esk5_3(X3,X2,X4) ) ).
cnf(i_0_323,axiom,
( X1 != X2
| esk5_3(X3,X4,X1) = esk5_3(X3,X4,X2) ) ).
cnf(i_0_324,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_325,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_326,axiom,
( X1 != X2
| sdtsldt0(X1,X3) = sdtsldt0(X2,X3) ) ).
cnf(i_0_327,axiom,
( X1 != X2
| sdtsldt0(X3,X1) = sdtsldt0(X3,X2) ) ).
cnf(i_0_328,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_329,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_330,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_331,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_332,axiom,
( X1 != X2
| ~ doDivides0(X1,X3)
| doDivides0(X2,X3) ) ).
cnf(i_0_333,axiom,
( X1 != X2
| ~ doDivides0(X3,X1)
| doDivides0(X3,X2) ) ).
cnf(i_0_334,axiom,
( X1 != X2
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X2) ) ).
cnf(i_0_335,axiom,
( X1 != X2
| ~ isPrime0(X1)
| isPrime0(X2) ) ).
cnf(i_0_336,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_337,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_315_001,axiom,
X1 = X1 ).
cnf(i_0_316_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_317_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_318_004,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_319_005,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_320_006,axiom,
( X1 != X2
| esk3_1(X1) = esk3_1(X2) ) ).
cnf(i_0_321_007,axiom,
( X1 != X2
| esk5_3(X1,X3,X4) = esk5_3(X2,X3,X4) ) ).
cnf(i_0_322_008,axiom,
( X1 != X2
| esk5_3(X3,X1,X4) = esk5_3(X3,X2,X4) ) ).
cnf(i_0_323_009,axiom,
( X1 != X2
| esk5_3(X3,X4,X1) = esk5_3(X3,X4,X2) ) ).
cnf(i_0_324_010,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_325_011,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_326_012,axiom,
( X1 != X2
| sdtsldt0(X1,X3) = sdtsldt0(X2,X3) ) ).
cnf(i_0_327_013,axiom,
( X1 != X2
| sdtsldt0(X3,X1) = sdtsldt0(X3,X2) ) ).
cnf(i_0_328_014,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_329_015,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_330_016,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_331_017,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_332_018,axiom,
( X1 != X2
| ~ doDivides0(X1,X3)
| doDivides0(X2,X3) ) ).
cnf(i_0_333_019,axiom,
( X1 != X2
| ~ doDivides0(X3,X1)
| doDivides0(X3,X2) ) ).
cnf(i_0_334_020,axiom,
( X1 != X2
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X2) ) ).
cnf(i_0_335_021,axiom,
( X1 != X2
| ~ isPrime0(X1)
| isPrime0(X2) ) ).
cnf(i_0_336_022,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_337_023,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_338,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,[],[92]) ).
cnf(i_0_339,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,[],[94]) ).
cnf(i_0_340,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,[],[95]) ).
cnf(i_0_341,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,[],[96]) ).
cnf(i_0_342,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,[],[106]) ).
cnf(i_0_343,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,[],[107]) ).
cnf(i_0_344,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,[],[108]) ).
cnf(i_0_345,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,[],[114]) ).
cnf(i_0_346,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,[],[115]) ).
cnf(i_0_347,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,[],[116]) ).
cnf(i_0_348,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,[],[117]) ).
cnf(i_0_349,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,[],[118]) ).
cnf(i_0_350,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,[],[119]) ).
cnf(i_0_351,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,[],[122]) ).
cnf(i_0_352,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,[],[123]) ).
cnf(i_0_353,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,[],[124]) ).
cnf(i_0_354,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,[],[125]) ).
cnf(i_0_355,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,[],[126]) ).
cnf(i_0_356,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,[],[129]) ).
cnf(i_0_357,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,[],[130]) ).
cnf(i_0_358,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,[],[155]) ).
cnf(i_0_359,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,[],[156]) ).
cnf(i_0_360,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,[],[157]) ).
cnf(i_0_361,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,[],[164]) ).
cnf(i_0_362,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,[],[165]) ).
cnf(i_0_363,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,[],[166]) ).
cnf(i_0_364,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,[],[167]) ).
cnf(i_0_365,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,[],[168]) ).
cnf(i_0_366,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,[],[169]) ).
cnf(i_0_367,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,[],[170]) ).
cnf(i_0_368,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,[],[172]) ).
cnf(i_0_369,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,[],[173]) ).
cnf(i_0_370,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,[],[174]) ).
cnf(i_0_371,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,[],[175]) ).
cnf(i_0_372,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,[],[176]) ).
cnf(i_0_373,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,[],[177]) ).
cnf(i_0_374,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,[],[182]) ).
cnf(i_0_375,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,[],[200]) ).
cnf(i_0_376,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,[],[203]) ).
cnf(i_0_377,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,[],[204]) ).
cnf(i_0_378,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,[],[205]) ).
cnf(i_0_379,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,[],[206]) ).
cnf(i_0_380,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,[],[207]) ).
cnf(i_0_381,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,[],[208]) ).
cnf(i_0_382,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,[],[214]) ).
cnf(i_0_383,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,[],[230]) ).
cnf(i_0_384,plain,
( ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| X1 = sdtmndt0(sdtpldt0(X2,X1),X2) ),
inference(equality_inference,[],[231]) ).
cnf(i_0_385,plain,
( ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = sz00
| X2 = sdtasdt0(X1,sdtsldt0(X2,X1)) ),
inference(equality_inference,[],[236]) ).
cnf(i_0_386,plain,
( ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X1,sdtmndt0(X2,X1)) = X2 ),
inference(equality_inference,[],[237]) ).
cnf(i_0_387,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = X1
| X2 = sz00 ),
inference(equality_inference,[],[238]) ).
cnf(i_0_388,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = X1
| X2 = sz00 ),
inference(equality_inference,[],[239]) ).
cnf(i_0_389,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X2)
| X2 = X2 ),
inference(equality_inference,[],[240]) ).
cnf(i_0_390,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X2)
| X2 = X2 ),
inference(equality_inference,[],[241]) ).
cnf(i_0_391,plain,
( ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtsldt0(X2,X1))
| X1 = sz00 ),
inference(equality_inference,[],[244]) ).
cnf(i_0_392,plain,
( ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtmndt0(X2,X1)) ),
inference(equality_inference,[],[245]) ).
cnf(i_0_393,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2) ),
inference(equality_inference,[],[247]) ).
cnf(i_0_394,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2) ),
inference(equality_inference,[],[248]) ).
cnf(i_0_395,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X1) ),
inference(equality_inference,[],[265]) ).
cnf(i_0_396,plain,
( ~ isPrime0(sz10)
| ~ aNaturalNumber0(sz10) ),
inference(equality_inference,[],[291]) ).
cnf(i_0_397,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(equality_inference,[],[292]) ).
cnf(i_0_398,plain,
$false,
inference(scs_inference,[],[i_0_309,i_0_308,i_0_307]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM520+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
% 0.16/0.33 % Computer : n002.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 00:41:31 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.44/5.63 % Version : CSE_E---1.7
% 1.44/5.63 % Problem : theBenchmark.p
% 1.44/5.63 % SZS status Theorem for theBenchmark.p
% 1.44/5.63 % SZS output start CNFRefutation
% See solution above
% 1.44/5.69 % Total time : 5.283s
%------------------------------------------------------------------------------